diff --git a/ccnt_lut.cpp b/ccnt_lut.cpp
index f52bef3..e2a22ff 100644
--- a/ccnt_lut.cpp
+++ b/ccnt_lut.cpp
@@ -5,16692 +5,298 @@
 uint8_t cCntLUT_4[4][4][256] = {
 	/* All 4 bit pairs */ {
 		/* As */ {
-			4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
+			4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2,
+			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1,
+			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1,
+			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1,
+			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
 		},
 		/* Cs */ {
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-			2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1,
+			2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2,
+			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1,
+			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
 		},
 		/* Gs */ {
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-			2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1,
+			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1,
+			2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2,
+			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
 		},
 		/* Ts */ {
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-			2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3,
+			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3,
+			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3,
+			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3,
+			2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4,
 		}
 	},
 	/* Least significant 1 bit pair */ {
 		/* As */ {
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
 		},
 		/* Cs */ {
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0,
 		},
 		/* Gs */ {
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0,
 		},
 		/* Ts */ {
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1,
 		}
 	},
 	/* Least significant 2 bit pairs */ {
 		/* As */ {
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
 		},
 		/* Cs */ {
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
 		},
 		/* Gs */ {
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
 		},
 		/* Ts */ {
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
 		}
 	},
 	/* Least significant 3 bit pairs */ {
 		/* As */ {
-			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
+			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
+			2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0,
 		},
 		/* Cs */ {
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
+			0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0,
 		},
 		/* Gs */ {
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
+			1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1,
+			0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0,
 		},
 		/* Ts */ {
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2,
+			1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3,
 		}
 	}
 };
-uint8_t cCntLUT_16b_4[4][256*256] = {
-	/* As */ {
-		8, 7, 7, 7, 7, 6, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		7, 6, 6, 6, 6, 5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		6, 5, 5, 5, 5, 4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		5, 4, 4, 4, 4, 3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		4, 3, 3, 3, 3, 2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		3, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-		2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 
-	},
-	/* Cs */ {
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		6, 7, 6, 6, 7, 8, 7, 7, 6, 7, 6, 6, 6, 7, 6, 6, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		5, 6, 5, 5, 6, 7, 6, 6, 5, 6, 5, 5, 5, 6, 5, 5, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		4, 5, 4, 4, 5, 6, 5, 5, 4, 5, 4, 4, 4, 5, 4, 4, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		3, 4, 3, 3, 4, 5, 4, 4, 3, 4, 3, 3, 3, 4, 3, 3, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		2, 3, 2, 2, 3, 4, 3, 3, 2, 3, 2, 2, 2, 3, 2, 2, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		1, 2, 1, 1, 2, 3, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-		0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 
-	},
-	/* Gs */ {
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		6, 6, 7, 6, 6, 6, 7, 6, 7, 7, 8, 7, 6, 6, 7, 6, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		5, 5, 6, 5, 5, 5, 6, 5, 6, 6, 7, 6, 5, 5, 6, 5, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		4, 4, 5, 4, 4, 4, 5, 4, 5, 5, 6, 5, 4, 4, 5, 4, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		3, 3, 4, 3, 3, 3, 4, 3, 4, 4, 5, 4, 3, 3, 4, 3, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		2, 2, 3, 2, 2, 2, 3, 2, 3, 3, 4, 3, 2, 2, 3, 2, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-		1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 3, 2, 1, 1, 2, 1, 
-		0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 
-	},
-	/* Ts */ {
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 3, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		2, 2, 2, 3, 2, 2, 2, 3, 2, 2, 2, 3, 3, 3, 3, 4, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		3, 3, 3, 4, 3, 3, 3, 4, 3, 3, 3, 4, 4, 4, 4, 5, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		4, 4, 4, 5, 4, 4, 4, 5, 4, 4, 4, 5, 5, 5, 5, 6, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		5, 5, 5, 6, 5, 5, 5, 6, 5, 5, 5, 6, 6, 6, 6, 7, 
-		6, 6, 6, 7, 6, 6, 6, 7, 6, 6, 6, 7, 7, 7, 7, 8, 
-	}
-};
diff --git a/scripts/convert_quals.pl b/scripts/convert_quals.pl
index f8ac29d..b9d8eb2 100644
--- a/scripts/convert_quals.pl
+++ b/scripts/convert_quals.pl
@@ -47,20 +47,20 @@ sub round {
     return int($number + .5 * ($number <=> 0));
 }
 
-# Convert from solexa qual to probability of miscall
+# Convert from phred qual to probability of miscall
 sub phredToP($) {
-	my $sol = shift;
-	my $p = (10.0 ** (($sol) / -10.0));
-	($p >= 0.0 && $p <= 1.0) || die "Bad prob: $p, from sol $sol";
+	my $phred = shift;
+	my $p = (10.0 ** (($phred) / -10.0));
+	($p >= 0.0 && $p <= 1.0) || die "Bad prob: $p, from sol $phred";
 	return $p;
 }
 
-# Convert from phred qual to probability of miscall
+# Convert from solexa qual to probability of miscall
 sub solToP($) {
-	my $phred = shift;
-	my $x = (10.0 ** (($phred) / -10.0));
+	my $sol = shift;
+	my $x = (10.0 ** (($sol) / -10.0));
 	my $p = $x / (1.0 + $x);
-	($p >= 0.0 && $p <= 1.0) || die "Bad prob: $p, from x $x, phred $phred";
+	($p >= 0.0 && $p <= 1.0) || die "Bad prob: $p, from x $x, phred $sol";
 	return $p;
 }
 
diff --git a/scripts/gen_2b_occ_lookup.pl b/scripts/gen_2b_occ_lookup.pl
new file mode 100755
index 0000000..b398d75
--- /dev/null
+++ b/scripts/gen_2b_occ_lookup.pl
@@ -0,0 +1,87 @@
+#!/usr/bin/perl -w
+
+#
+# Generate lookup table that, given two packed DNA bytes (eight bases)
+# and a character (A, C, G or T), returns how many times that character
+# occurs in that packed pair of bytes.  Useful for quickly counting
+# character occurrences in long strings.  The LUT is indexed first by
+# character (0 - 3) then by byte (0 - 2^16-1).
+#
+# See ebwt.h. 
+#
+
+my @as = ();
+my @cs = ();
+my @gs = ();
+my @ts = ();
+
+# Compile character arrays
+my $i;
+for($i = 0; $i < (256*256); $i++) {
+	
+	my $b01   = ($i >> 0) & 3;
+	my $b23   = ($i >> 2) & 3;
+	my $b45   = ($i >> 4) & 3;
+	my $b67   = ($i >> 6) & 3;
+	my $b89   = ($i >> 8) & 3;
+	my $b1011 = ($i >> 10) & 3;
+	my $b1213 = ($i >> 12) & 3;
+	my $b1415 = ($i >> 14) & 3;
+
+	my $a = ($b01 == 0) + ($b23 == 0) + ($b45 == 0) + ($b67 == 0) +
+	        ($b89 == 0) + ($b1011 == 0) + ($b1213 == 0) + ($b1415 == 0);
+	my $c = ($b01 == 1) + ($b23 == 1) + ($b45 == 1) + ($b67 == 1) +
+	        ($b89 == 1) + ($b1011 == 1) + ($b1213 == 1) + ($b1415 == 1);
+	my $g = ($b01 == 2) + ($b23 == 2) + ($b45 == 2) + ($b67 == 2) +
+	        ($b89 == 2) + ($b1011 == 2) + ($b1213 == 2) + ($b1415 == 2);
+	my $t = ($b01 == 3) + ($b23 == 3) + ($b45 == 3) + ($b67 == 3) +
+	        ($b89 == 3) + ($b1011 == 3) + ($b1213 == 3) + ($b1415 == 3);
+
+	push @as, $a;
+	push @cs, $c;
+	push @gs, $g;
+ 	push @ts, $t;
+}
+
+my $entsPerLine = 16;
+
+# Count occurrences in all 4 bit pairs 
+
+print "uint8_t cCntLUT_16b_4[4][256*256] = {\n";
+
+# Print As array
+print "\t/* As */ {\n";
+for($i = 0; $i < (256*256); $i++) {
+	print "\t\t" if(($i % $entsPerLine) == 0);
+	print "$as[$i], ";
+	print "\n" if(($i % $entsPerLine) == ($entsPerLine-1));
+}
+print "\t},\n";
+
+# Print Cs array
+print "\t/* Cs */ {\n";
+for($i = 0; $i < (256*256); $i++) {
+	print "\t\t" if(($i % $entsPerLine) == 0);
+	print "$cs[$i], ";
+	print "\n" if(($i % $entsPerLine) == ($entsPerLine-1));
+}
+print "\t},\n";
+
+# Print Gs array
+print "\t/* Gs */ {\n";
+for($i = 0; $i < (256*256); $i++) {
+	print "\t\t" if(($i % $entsPerLine) == 0);
+	print "$gs[$i], ";
+	print "\n" if(($i % $entsPerLine) == ($entsPerLine-1));
+}
+print "\t},\n";
+
+# Print Ts array
+print "\t/* Ts */ {\n";
+for($i = 0; $i < (256*256); $i++) {
+	print "\t\t" if(($i % $entsPerLine) == 0);
+	print "$ts[$i], ";
+	print "\n" if(($i % $entsPerLine) == ($entsPerLine-1));
+}
+print "\t}\n";
+print "};\n";