>>++<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[
->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>][-]+++[-<[->>+<<]<[->+<]<[->+<]<[->+<]>>>>>[-<<<<<+>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+[-<[
->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>[-<<<<<<+>>>>>>]<][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+
<+>>]<-<->]<[[-]>+<]>[-<+>]<+[->+>+<<]>>[-<<+>>][-]++<[->-<]>[-<+>]<[[-]>+<]>[-<+>]<[[-]>+<]+>[-<->]<[[-]+++++++++++++++
++++++++++++++++++++++++++++++.<<<<<------------------------------------------------------------------------------------
-------------------------------------------->>>>[-]>[-]>>>++>+>++++>+++++++>++++>++++++++>+++>++++++>++++>++++++++<<<<<<
<<<<<<<<[->>>>>>>>>>>>>>-[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>
][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+
>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<
[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<
+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<
[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[
-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++
++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>
>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<
<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>
>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>]
[-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[-
>+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<
<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>>-->----->-----
-[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[
-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<-
>]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>
>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-
<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<
]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]
<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+
<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<
<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>
>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]
+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]
<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<
<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[
<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<
[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>------>----->----->--->------[->+>+<<]
>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<
[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<
]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<
<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>
][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+
>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<
[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<
+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<
[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[
-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++
++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>
>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<
<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>
>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>>->------>------->------->------->-->->------[->+>
+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>
>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-
]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>
[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+
<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<
<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>
+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<
+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<
<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<-
>]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++
++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>
>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+
>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]
+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>>>>[-]]<[->+>+<<]>>[-<<+>>][-]+<[->-<]>[-<+>]<[[-]>+<]>
[-<+>]<[[-]>+<]+>[-<->]<[[-]<[-]<[->>>>>>>>>>>>>>+[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-
<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+
<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<
[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<
+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>
>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+
<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[
->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++
+++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]
+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+
>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[
->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<
<<<<]<[->>>>>>>>>>>>>++>+++++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+
>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<
[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<-
>]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]
+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[
-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>
>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[
-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<
<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->
>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++
+[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>
>>>>>>>++++++>+++++>+++++>+++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+
>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<
[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<-
>]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]
+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[
-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>
>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[
-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<
<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->
>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++
+[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>
>>>>>>+>++++++>+++++++>+++++++>+++++++>++>+>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-
<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+
<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<
[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<
+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>
>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+
<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[
->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++
+++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]
+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+
>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[
->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<
<<<<<<<]>>>>>[-]]>>>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++
++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++
+++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++
+++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++
+++++++++++++.[-]<<<<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++++++
+++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>
++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++
++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<]>[+++++++++++++++++++
+++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++
+++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++++++++++++++
+.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<]>[
++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++
++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++
++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<]>[+++++++++++++++++++++++++++++++++++
+++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.
[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<]>[++++
++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++
++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<]>[+++++++++++++++++++++++++++
+++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++++++++
+++++++.[-]<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-
]<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<<<
<[-]<[-]<[-]<[-]<[-]<[-]<[-]<[-]++++++++++++++++++++++++++++++++.+++++++++++++.-------------.[-]>[-]+++>[-]+++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++>[-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]
<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>][-]+++[-<[->>+<<]<[->+<]<[->+<]<[->+<]>>>>>[-<<<<<+>>>>>]<]<[->+>+<<]>>[-<<+>>][-]
+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>[-<<<<<<+>>>>>>]<][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-
<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<+[->+>+<<]>>[-<<+>>][-]++<[->-<]>[-<+>]<[[-]>+<]>[-<+>]<[[-]>+<]+>[-<->]<[[-]++++++++++
+++++++++++++++++++++++++++++++++++.<<<<<-------------------------------------------------------------------------------
------------------------------------------------->>>>[-]>[-]>>>++>+>++++>+++++++>++++>++++++++>+++>++++++>++++>++++++++<
<<<<<<<<<<<<<[->>>>>>>>>>>>>>-[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>
+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-
<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]
>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-
<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<
<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<
->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<+
+++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>
>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>
+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-
]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++
<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]
<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>
>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>>-->----->
------[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<
]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>
]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][
-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->
+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<
+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[
[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>
>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->
>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[
-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-
]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[
-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<
<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-
]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-
<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>------>----->----->--->------[->+
>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+
>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[
-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>
>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>
+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-
<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]
>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-
<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<
<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<
->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<+
+++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>
>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>
+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-
]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>>->------>------->------->------->-->->------
[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-
<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->
]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>
>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<
[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]
>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<
[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<
]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<
<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>
][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+
>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<
[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<
+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<
[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[
-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>>>>[-]]<[->+>+<<]>>[-<<+>>][-]+<[->-<]>[-<+>]<[[-]
>+<]>[-<+>]<[[-]>+<]+>[-<->]<[[-]<[-]<[->>>>>>>>>>>>>>+[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<
]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[
[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+
>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>
[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<
<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[-
>>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++
++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+
++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>
>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[-
>>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>
[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]
+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<
<<<<<<<<<]<[->>>>>>>>>>>>>++>+++++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[
-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->
]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+
>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-
]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>
>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-
<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<
]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>
+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++
[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++
++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[-
>>>>>>>>>>>>++++++>+++++>+++++>+++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[
-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->
]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+
>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-
]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>
>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-
<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<
]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>
+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++
[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++
++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[
->>>>>>>>>>+>++++++>+++++++>+++++++>+++++++>++>+>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<
]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[
[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+
>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>
[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<
<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[-
>>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++
++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+
++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>
>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[-
>>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>
[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]
+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<
<<<<<<<<<<<<]>>>>>[-]]>>>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++++++++
+++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++
++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++
++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++
++++++++++++++++++.[-]<<<<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++
++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++
.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++
+++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<]>[++++++++++++++
++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++
++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++
++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<
<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++
+++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++
+++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<]>[++++++++++++++++++++++++++++++
++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++
++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<]>
[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++
+++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<]>[++++++++++++++++++++++
++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++
++++++++++++.[-]<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++
++.[-]<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<
<<<<<<[-]<[-]<[-]<[-]<[-]<[-]<[-]<[-]++++++++++++++++++++++++++++++++.+++++++++++++++++++++++++++++.--------------------
---------.[-]++++[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>[-<<<<<<<<<+>>>>>>>>>]<]<[->>+<<]<
<<<[->>>>>>[->+>+<<]>>[-<<+>>]<[[-]>+<]+>[-<->]<[-<<+>>]<-<<<<<<]>>>>>>[-<<<<<<+>>>>>>]<[->+<]>[-<-<+>>]<<<[->>+[->+>+<<
]>>[-<<+>>]<[[-]>+<]+>[-<->]<[-<<->>]<<<]<<<<[->>>>>>[->+>+<<]>>[-<<+>>]<[[-]>+<]+>[-<->]<[-<<+>>]<-<<<<<<]>>>>>>[-<<<<<
<+>>>>>>]<[->+<]>[-<-<+>>]<<<[->>+[->+>+<<]>>[-<<+>>]<[[-]>+<]+>[-<->]<[-<<->>]<<<]<<<<[->>>>>>[->+>+<<]>>[-<<+>>]<[[-]>
+<]+>[-<->]<[-<<+>>]<-<<<<<<]>>>>>>[-<<<<<<+>>>>>>]<[->+<]>[-<-<+>>]<<<[->>+[->+>+<<]>>[-<<+>>]<[[-]>+<]+>[-<->]<[-<<->>
]<<<]<<<<[->>>>>>-<<<<<<]>>>>>>[-<<<<<<+>>>>>>]<[-]<<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<
<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>][-]+++[-<[->>+<<]<[->+<]<[->+<]<[->+
<]>>>>>[-<<<<<+>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>[-<<<<<<+>>>>>>]<][-]+++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<+[->+>+<<]>>[-<<+>>][-]++<[->-<]>[-<+>]<[
[-]>+<]>[-<+>]<[[-]>+<]+>[-<->]<[[-]+++++++++++++++++++++++++++++++++++++++++++++.<<<<<---------------------------------
----------------------------------------------------------------------------------------------->>>>[-]>[-]>>>++>+>++++>+
++++++>++++>++++++++>+++>++++++>++++>++++++++<<<<<<<<<<<<<<[->>>>>>>>>>>>>>-[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]
<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>
>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[
->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>
>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[
[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]
>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<
<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>]
[-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>
[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[
-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+
>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[
->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-
<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<+++++++
+++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>
>>]<]<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>>-->----->------[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++
++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>
>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+
<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<
+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->
>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<
[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-
<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->
]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>
>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<
[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]
>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<
[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<
]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<
<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[
->>>>>>>>>>>>------>----->----->--->------[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>
][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[
->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<
<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]
<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>
>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[
->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>
>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[
[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]
>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<
<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>]
[-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>
[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[
-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+
>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[
->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>
>>->------>------->------->------->-->->------[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++
<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]
<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>
>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-
<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>
>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+
[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+
<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>
>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]
>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[
-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<
+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+
<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+
>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<
<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>>>>[
-]]<[->+>+<<]>>[-<<+>>][-]+<[->-<]>[-<+>]<[[-]>+<]>[-<+>]<[[-]>+<]+>[-<->]<[[-]<[-]<[->>>>>>>>>>>>>>+[->+>+<<]>>[-<<+>>]
[-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>
+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-
<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[
-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<
<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>
][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[
->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<--------
--<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>
>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<--
--------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>
>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]
<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<
<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>
[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<
<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-
]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>
[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<-
>]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>
>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>
>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>>++>+++++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<
[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++
++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-
]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<
+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<
[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]
>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][
-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->
+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------
<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]
<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----
------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>
>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[
-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+
>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-
<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<
<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>
+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-
<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>++++++>+++++>+++++>+++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<
[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++
++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-
]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<
+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<
[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]
>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][
-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->
+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------
<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]
<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----
------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>
>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[
-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+
>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-
<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<
<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>
+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-
<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>>+>++++++>+++++++>+++++++>+++++++>++>+>++++++[->+>+<<]>>[-<<+>>]
[-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>
+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-
<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[
-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<
<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>
][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[
->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<--------
--<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>
>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<--
--------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>
>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]
<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<
<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>
[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<
<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-
]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>
[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<-
>]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>
>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>
>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>>>>[-]]>>>[++++++++++++++++++++++++++++++++++++++++++++++++
.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++
+++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++
+++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++++
+++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<<]>[+++++++++++++++++++++++++++++++++++++++++
+++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++
++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++
++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++
++++++++++++++++++.[-]<<<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++
+++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.
[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++
++++++++++++++++++++++++++++++++++++++.[-]<<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++
++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++
++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++
++++.[-]<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-
]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++
++++++++++++++++++++++++++++++++++++.[-]<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++
++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++
++++++++++++++.[-]<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++++++++++
+++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>
++++++++++++++++++++++++++++++++++++++++++++++++.[-]<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]]>++++++++++
++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<<<<[-]<[-]<[-]<[-]<[-]<[-]<[-]<[-]++++++++++.[-]<[-]<[-]<[-]++<[-][->>>
>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<
<<<]>>>>>[-<<<<<+>>>>>][-]+++[-<[->>+<<]<[->+<]<[->+<]<[->+<]>>>>>[-<<<<<+>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+[-<[->>+<<]<[-
>+<]<[->+<]<[->+<]<[->+<]>>>>>>[-<<<<<<+>>>>>>]<][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->
]<[[-]>+<]>[-<+>]<+[->+>+<<]>>[-<<+>>][-]++<[->-<]>[-<+>]<[[-]>+<]>[-<+>]<[[-]>+<]+>[-<->]<[[-]+++++++++++++++++++++++++
++++++++++++++++++++.<<<<<----------------------------------------------------------------------------------------------
---------------------------------->>>>[-]>[-]>>>++>+>++++>+++++++>++++>++++++++>+++>++++++>++++>++++++++<<<<<<<<<<<<<<[-
>>>>>>>>>>>>>>-[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[
->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-
<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<+++++++
+++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>
>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<
]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>
]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][
-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->
+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<
+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[
[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>
>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->
>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[
-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-
]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>>-->----->------[->+>+<<]
>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<
[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<
]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<
<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>
][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+
>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<
[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<
+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<
[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[
-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++
++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>
>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<
<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>
>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>------>----->----->--->------[->+>+<<]>>[-<<+>>]
[-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>
[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[
-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+
>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[
->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-
<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<+++++++
+++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>
>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<
]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>
]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][
-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->
+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<
+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[
[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>
>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>>->------>------->------->------->-->->------[->+>+<<]>>[-<<
+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+
<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+
>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<
<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->
]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<+++
+++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>
>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>
+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+
<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<-
>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]
<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[
-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<-
>]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>
>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>>>>[-]]<[->+>+<<]>>[-<<+>>][-]+<[->-<]>[-<+>]<[[-]>+<]>[-<+>]<[[-
]>+<]+>[-<->]<[[-]<[-]<[->>>>>>>>>>>>>>+[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-
]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]
<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>
[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]
>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>
]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<
<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]
>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+
>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[
<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++
+++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<]<[->>
>>>>>>>>>>>++>+++++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<
[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>
>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<
-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>
>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+
<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[
-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-
<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+
<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<
[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<
+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>
>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+
<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>+++
+++>+++++>+++++>+++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<
[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>
>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<
-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>
>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+
<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[
-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-
<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+
<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<
[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<
+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>
>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+
<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>>+>++
++++>+++++++>+++++++>+++++++>++>+>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-
]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]
<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>
[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]
>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>
]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<
<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]
>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+
>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[
<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++
+++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>
>>>[-]]>>>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++
+++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++
+++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++
+++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++++++++++++
+++.[-]<<<<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.
[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++
++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++
++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<]>[+++++++++++++++++++++++++++++
+++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++++++++++
+++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++
++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<]>[++++++++++
++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++
++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++
++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<]>[+++++++++++++++++++++++++++++++++++++++++++++
+++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++
++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<]>[++++++++++++++
++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++
++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<]>[+++++++++++++++++++++++++++++++++++++
+++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-
]<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<]>[+++++
+++++++++++++++++++++++++++++++++++++++++++.[-]]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<<<<[-]<[-]<[
-]<[-]<[-]<[-]<[-]<[-]++++++++++++++++++++++++++++++++.+++++++++++++.-------------.[-]>[-]+++>[-]+++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++>[-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++<<<
[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>
+>+<<<<<]>>>>>[-<<<<<+>>>>>][-]+++[-<[->>+<<]<[->+<]<[->+<]<[->+<]>>>>>[-<<<<<+>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+[-<[->>+<
<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>[-<<<<<<+>>>>>>]<][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]
<-<->]<[[-]>+<]>[-<+>]<+[->+>+<<]>>[-<<+>>][-]++<[->-<]>[-<+>]<[[-]>+<]>[-<+>]<[[-]>+<]+>[-<->]<[[-]++++++++++++++++++++
+++++++++++++++++++++++++.<<<<<-----------------------------------------------------------------------------------------
--------------------------------------->>>>[-]>[-]>>>++>+>++++>+++++++>++++>++++++++>+++>++++++>++++>++++++++<<<<<<<<<<<
<<<[->>>>>>>>>>>>>>-[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<-
>]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++
++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>
>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+
>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]
+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<
->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<
]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>
[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<
->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>
>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[
-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<
<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>
]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>>-->----->------[->+
>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+
>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[
-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>
>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>
+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-
<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]
>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-
<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<
<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<
->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<+
+++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>
>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>
+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-
]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>------>----->----->--->------[->+>+<<]>>[-<
<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>
+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<
+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<
<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<-
>]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++
++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>
>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+
>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]
+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<
->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<
]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>
[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<
->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>
>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>>->------>------->------->------->-->->------[->+>+<<]>
>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[
[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]
>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<
<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>]
[-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>
[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[
-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+
>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[
->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-
<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<+++++++
+++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>
>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<
]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>
]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>>>>[-]]<[->+>+<<]>>[-<<+>>][-]+<[->-<]>[-<+>]<[[-]>+<]>[-<+>
]<[[-]>+<]+>[-<->]<[[-]<[-]<[->>>>>>>>>>>>>>+[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<
[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[
-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>
+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]
<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<
<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>
>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>
+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<
[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++
++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-
]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<]
<[->>>>>>>>>>>>>++>+++++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-
<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>
>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<
+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-
<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<
->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<
]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[
[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+
>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>
[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<
<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[-
>>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>>
>>++++++>+++++>+++++>+++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-
<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>
>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<
+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-
<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<
->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<
]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[
[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+
>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>
[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<
<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[-
>>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>
>+>++++++>+++++++>+++++++>+++++++>++>+>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<
[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[
-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>
+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]
<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<
<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>
>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>
+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<
[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++
++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-
]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<
<<]>>>>>[-]]>>>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-
]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++
++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++
++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++
++++++++.[-]<<<<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++
++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++
+++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++
+++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<]>[++++++++++++++++++++++++
++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++
++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]
>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<]>[+++++
+++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++
+++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++
+++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<]>[++++++++++++++++++++++++++++++++++++++++
++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+
+++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<]>[+++++++++
+++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++
+++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<]>[++++++++++++++++++++++++++++++++
++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++
++.[-]<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<]>[
++++++++++++++++++++++++++++++++++++++++++++++++.[-]]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<<<<[-]<
[-]<[-]<[-]<[-]<[-]<[-]<[-]++++++++++++++++++++++++++++++++.+++++++++++++++++++++++++++++.-----------------------------.
[-]++++[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>[-<<<<<<<<<+>>>>>>>>>]<]<[->>+<<]<<<<[->>>>>
>[->+>+<<]>>[-<<+>>]<[[-]>+<]+>[-<->]<[-<<+>>]<-<<<<<<]>>>>>>[-<<<<<<+>>>>>>]<[->+<]>[-<-<+>>]<<<[->>+[->+>+<<]>>[-<<+>>
]<[[-]>+<]+>[-<->]<[-<<->>]<<<]<<<<[->>>>>>[->+>+<<]>>[-<<+>>]<[[-]>+<]+>[-<->]<[-<<+>>]<-<<<<<<]>>>>>>[-<<<<<<+>>>>>>]<
[->+<]>[-<-<+>>]<<<[->>+[->+>+<<]>>[-<<+>>]<[[-]>+<]+>[-<->]<[-<<->>]<<<]<<<<[->>>>>>[->+>+<<]>>[-<<+>>]<[[-]>+<]+>[-<->
]<[-<<+>>]<-<<<<<<]>>>>>>[-<<<<<<+>>>>>>]<[->+<]>[-<-<+>>]<<<[->>+[->+>+<<]>>[-<<+>>]<[[-]>+<]+>[-<->]<[-<<->>]<<<]<<<<[
->>>>>>-<<<<<<]>>>>>>[-<<<<<<+>>>>>>]<[-]<<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<
<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>][-]+++[-<[->>+<<]<[->+<]<[->+<]<[->+<]>>>>>[-<
<<<<+>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>[-<<<<<<+>>>>>>]<][-]+++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<
<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<+[->+>+<<]>>[-<<+>>][-]++<[->-<]>[-<+>]<[[-]>+<]>[-
<+>]<[[-]>+<]+>[-<->]<[[-]+++++++++++++++++++++++++++++++++++++++++++++.<<<<<-------------------------------------------
------------------------------------------------------------------------------------->>>>[-]>[-]>>>++>+>++++>+++++++>+++
+>++++++++>+++>++++++>++++>++++++++<<<<<<<<<<<<<<[->>>>>>>>>>>>>>-[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>
[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<
<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][
-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[
-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-
<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>
>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[-
>>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<
[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++
++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>
>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]
>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]
<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>
>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-
]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<
<<<<<<<<<<]<[->>>>>>>>>>>>>-->----->------[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>
][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[
->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<
<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]
<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>
>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[
->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>
>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[
[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]
>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<
<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>]
[-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>
[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[
-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+
>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[
->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>
>>>------>----->----->--->------[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[-
>>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>
[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[
-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>
[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<
<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][
-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[
-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-
<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>
>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[-
>>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<
[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++
++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>
>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]
>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>>->------
>------->------->------->-->->------[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[
-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<
<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>
]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>
+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-
<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+
>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<
]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>
]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<
<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]
<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++
++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>
>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+
<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>>>>[-]]<[->+>+
<<]>>[-<<+>>][-]+<[->-<]>[-<+>]<[[-]>+<]>[-<+>]<[[-]>+<]+>[-<->]<[[-]<[-]<[->>>>>>>>>>>>>>+[->+>+<<]>>[-<<+>>][-]+++++++
++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+
++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>
>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[-
>>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>
[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]
+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>
+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+
>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]
<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<------
----<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>
>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<
----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>
>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+
>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<
<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<
]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<
<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[
[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>
>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>>++>+++++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<
]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>
+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++
[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++
++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>]
[-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>
+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-
<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[
-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<
<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>
][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[
->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<--------
--<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>
>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<--
--------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>
>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]
<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<
<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>++++++>+++++>+++++>+++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<
]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>
+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++
[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++
++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>]
[-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>
+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-
<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[
-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<
<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>
][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[
->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<--------
--<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>
>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<--
--------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>
>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]
<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<
<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>>+>++++++>+++++++>+++++++>+++++++>++>+>++++++[->+>+<<]>>[-<<+>>][-]+++++++
++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+
++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>
>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[-
>>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>
[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]
+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>
+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+
>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]
<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<------
----<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>
>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<
----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>
>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+
>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<
<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<
]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<
<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[
[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>
>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>>>>[-]]>>>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++
+++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++
+++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++
+++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++++++++++++++
+.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-
]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++
++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++
++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++
++++++++.[-]<<<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++++++++++++
+++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++
++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++
++++++++++++++++++++++++++++.[-]<<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++
++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++
++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<
<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++
++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++
++++++++++++++++++++++++++.[-]<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++
++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++
++++.[-]<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>
++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++
++++++++++++++++++++++++++++++++++++++.[-]<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]]>++++++++++++++++++++
++++++++++++++++++++++++++++.[-]<<<<<<<<<<[-]<[-]<[-]<[-]<[-]<[-]<[-]<[-]++++++++++.[-]<[-]<[-]<[-]++<[-][->>>>+>+<<<<<]
>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[
-<<<<<+>>>>>][-]+++[-<[->>+<<]<[->+<]<[->+<]<[->+<]>>>>>[-<<<<<+>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+[-<[->>+<<]<[->+<]<[->+<
]<[->+<]<[->+<]>>>>>>[-<<<<<<+>>>>>>]<][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]
>[-<+>]<+[->+>+<<]>>[-<<+>>][-]++<[->-<]>[-<+>]<[[-]>+<]>[-<+>]<[[-]>+<]+>[-<->]<[[-]+++++++++++++++++++++++++++++++++++
++++++++++.<<<<<--------------------------------------------------------------------------------------------------------
------------------------>>>>[-]>[-]>>>++>+>++++>+++++++>++++>++++++++>+++>++++++>++++>++++++++<<<<<<<<<<<<<<[->>>>>>>>>>
>>>>-[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]
>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]
<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>
>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-
]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+
>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+
>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[
-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>
>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>
+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-
<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]
>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-
<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<
<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<
->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>>-->----->------[->+>+<<]>>[-<<+>>]
[-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>
[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[
-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+
>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[
->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-
<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<+++++++
+++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>
>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<
]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>
]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][
-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->
+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<
+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[
[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>
>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>------>----->----->--->------[->+>+<<]>>[-<<+>>][-]+++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<
[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++
++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>
>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]
>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]
<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>
>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-
]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+
>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+
>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[
-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>
>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>
+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-
<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]
>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-
<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<
<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>>->------>------->------->------->-->->------[->+>+<<]>>[-<<+>>][-]+++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]
<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++
++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>
>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+
<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<
+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->
>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<
[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-
<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->
]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>
>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<
[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]
>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<
[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<
]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<
<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>>>>[-]]<[->+>+<<]>>[-<<+>>][-]+<[->-<]>[-<+>]<[[-]>+<]>[-<+>]<[[-]>+<]+>[-<
->]<[[-]<[-]<[->>>>>>>>>>>>>>+[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<
->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>
>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+
>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<
[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<-
>]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]
+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[
-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>
>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[
-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<
<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->
>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>
>++>+++++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[
-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<
<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]
>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[
-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->
]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>
>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>
]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-
]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]
<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>
[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]
>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>
]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<
<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>++++++>+++++>
+++++>+++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[
-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<
<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]
>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[
-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->
]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>
>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>
]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-
]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]
<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>
[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]
>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>
]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<
<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>>+>++++++>+++++
++>+++++++>+++++++>++>+>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<
->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>
>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+
>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<
[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<-
>]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]
+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[
-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>
>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[
-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<
<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->
>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>>>>[-]]>>>
[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++
+++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++
+++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++++++++
+++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<
<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++
++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++
++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++
++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<]>[+++++++++++++++++++++++++++++++++++++++
+++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>
++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++
++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<]>[++++++++++++++++++++
++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++
++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++
.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++
++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++
++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<]>[++++++++++++++++++++++++
++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++
++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<]>[+++++++++++++++++++++++++++++++++++++++++++++++
+.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<]>[++++
++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<]>[+++++++++++++++
+++++++++++++++++++++++++++++++++.[-]]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<<<<[-]<[-]<[-]<[-]<[-]
<[-]<[-]<[-]++++++++++++++++++++++++++++++++.+++++++++++++.-------------.[-]>[-]+++>[-]+++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++>[-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++<<<[->>>>+>+<
<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>
>>>>[-<<<<<+>>>>>][-]+++[-<[->>+<<]<[->+<]<[->+<]<[->+<]>>>>>[-<<<<<+>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+[-<[->>+<<]<[->+<]<
[->+<]<[->+<]<[->+<]>>>>>>[-<<<<<<+>>>>>>]<][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-
]>+<]>[-<+>]<+[->+>+<<]>>[-<<+>>][-]++<[->-<]>[-<+>]<[[-]>+<]>[-<+>]<[[-]>+<]+>[-<->]<[[-]++++++++++++++++++++++++++++++
+++++++++++++++.<<<<<---------------------------------------------------------------------------------------------------
----------------------------->>>>[-]>[-]>>>++>+>++++>+++++++>++++>++++++++>+++>++++++>++++>++++++++<<<<<<<<<<<<<<[->>>>>
>>>>>>>>>-[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>
+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+
<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<-
>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]
<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[
-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<-
>]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>
>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-
<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<
]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]
<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+
<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<
<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>
>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]
+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>>-->----->------[->+>+<<]>>[-<
<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>
+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<
+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<
<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<-
>]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++
++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>
>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+
>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]
+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<
->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<
]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>
[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<
->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>
>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>------>----->----->--->------[->+>+<<]>>[-<<+>>][-]++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->
]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<+++
+++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>
>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>
+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+
<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<-
>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]
<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[
-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<-
>]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>
>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-
<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<
]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]
<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+
<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<
<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>>->------>------->------->------->-->->------[->+>+<<]>>[-<<+>>][
-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[
-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-
<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>
>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[-
>>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<
[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++
++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>
>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]
>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]
<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>
>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-
]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+
>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+
>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[
-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>
>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>>>>[-]]<[->+>+<<]>>[-<<+>>][-]+<[->-<]>[-<+>]<[[-]>+<]>[-<+>]<[[-]>+<]
+>[-<->]<[[-]<[-]<[->>>>>>>>>>>>>>+[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>
>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[
-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->
]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+
>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-
]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>
>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-
<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<
]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>
+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++
[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<]<[->>>>>>>
>>>>>>++>+++++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>
+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-
<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]
<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>
>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]
<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>
>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]
+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<
[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[
-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>
+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]
<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<
<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>
>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>++++++>+
++++>+++++>+++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>
+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-
<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]
<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>
>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]
<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>
>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]
+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<
[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[
-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>
+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]
<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<
<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>
>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>>+>++++++>
+++++++>+++++++>+++++++>++>+>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>
>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[
-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->
]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+
>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-
]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>
>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-
<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<
]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>
+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++
[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>>>>[-
]]>>>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++
++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++
++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++
++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[
-]<<<<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+
+++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++
+++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++
+++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<]>[++++++++++++++++++++++++++++++++++
++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++
.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++
+++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<]>[+++++++++++++++
+++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++
+++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++++++++++
+++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[
-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++
+++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<]>[+++++++++++++++++++
+++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++
+++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<]>[++++++++++++++++++++++++++++++++++++++++++
++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<]>
[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<]>[++++++++++
++++++++++++++++++++++++++++++++++++++.[-]]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<<<<[-]<[-]<[-]<[-
]<[-]<[-]<[-]<[-]++++++++++++++++++++++++++++++++.+++++++++++++++++++++++++++++.-----------------------------.[-]++++[-<
[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>[-<<<<<<<<<+>>>>>>>>>]<]<[->>+<<]<<<<[->>>>>>[->+>+<<]
>>[-<<+>>]<[[-]>+<]+>[-<->]<[-<<+>>]<-<<<<<<]>>>>>>[-<<<<<<+>>>>>>]<[->+<]>[-<-<+>>]<<<[->>+[->+>+<<]>>[-<<+>>]<[[-]>+<]
+>[-<->]<[-<<->>]<<<]<<<<[->>>>>>[->+>+<<]>>[-<<+>>]<[[-]>+<]+>[-<->]<[-<<+>>]<-<<<<<<]>>>>>>[-<<<<<<+>>>>>>]<[->+<]>[-<
-<+>>]<<<[->>+[->+>+<<]>>[-<<+>>]<[[-]>+<]+>[-<->]<[-<<->>]<<<]<<<<[->>>>>>[->+>+<<]>>[-<<+>>]<[[-]>+<]+>[-<->]<[-<<+>>]
<-<<<<<<]>>>>>>[-<<<<<<+>>>>>>]<[->+<]>[-<-<+>>]<<<[->>+[->+>+<<]>>[-<<+>>]<[[-]>+<]+>[-<->]<[-<<->>]<<<]<<<<[->>>>>>-<<
<<<<]>>>>>>[-<<<<<<+>>>>>>]<[-]<<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>
+<<<<<]>>>>>[-<<<<<+>>>>>]<<<<[->>>>+>+<<<<<]>>>>>[-<<<<<+>>>>>][-]+++[-<[->>+<<]<[->+<]<[->+<]<[->+<]>>>>>[-<<<<<+>>>>>
]<]<[->+>+<<]>>[-<<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>[-<<<<<<+>>>>>>]<][-]+++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<
<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<+[->+>+<<]>>[-<<+>>][-]++<[->-<]>[-<+>]<[[-]>+<]>[-<+>]<[[-]>
+<]+>[-<->]<[[-]+++++++++++++++++++++++++++++++++++++++++++++.<<<<<-----------------------------------------------------
--------------------------------------------------------------------------->>>>[-]>[-]>>>++>+>++++>+++++++>++++>++++++++
>+++>++++++>++++>++++++++<<<<<<<<<<<<<<[->>>>>>>>>>>>>>-[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<
++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>
>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->
>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[
-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<+++++++++
+<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>
]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>
>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<
-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>
>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]
+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>
+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>
>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-
]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>
[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+
<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<
]<[->>>>>>>>>>>>>-->----->------[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[-
>>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>
[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[
-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>
[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<
<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][
-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[
-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-
<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>
>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[-
>>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<
[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++
++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>
>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]
>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>------>
----->----->--->------[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-
]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-
<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<
++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>
>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->
>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[
-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]
<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<+++++++++
+<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>
]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>
>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<
-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>
>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]
+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>
+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>
>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>>->------>------->-
------>------->-->->------[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>
>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]
+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<
[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]
<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<
<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[
<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<
[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<+++++
+++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>
>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<
<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+
>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+
<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>
][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[
->+>+<<]>>[-<<+>>][-]+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++[<[->>+>+<<<]>>>[-<
<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<++++++++++<->>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>>>>[-]]<[->+>+<<]>>[-<<+
>>][-]+<[->-<]>[-<+>]<[[-]>+<]>[-<+>]<[[-]>+<]+>[-<->]<[[-]<[-]<[->>>>>>>>>>>>>>+[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>
+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<
[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++
++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-
]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<
+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<
[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]
>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][
-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->
+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------
<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]
<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----
------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>
>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[
-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+
>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-
<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<
<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>>++>+++++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+
>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>
[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<
<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[-
>>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++
++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+
++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>
>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[-
>>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>
[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]
+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>
+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+
>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]
<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<------
----<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>
>>>]<]<<<<<<<<<<<<<<<<]<[->>>>>>>>>>>>++++++>+++++>+++++>+++>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+
>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>
[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<
<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[-
>>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++
++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<
]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+
++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]
<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>
>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[-
>>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>
[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]
+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>
+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+
>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]
<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<------
----<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>
>>>]<]<<<<<<<<<<<<<<<<<]<[->>>>>>>>>>+>++++++>+++++++>+++++++>+++++++>++>+>++++++[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>
+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[
->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<
[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[-
>+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++
++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->
+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-
]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<[->>+<
<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]>>[-<<
+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][-]+[-<
[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->+>+<<]
>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------<+>>][
-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]<]<[->
+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----------
<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>>>>>>]
<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[-<----
------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+>>>>>>
>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-<+>]<[
-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<<<<<<+
>>>>>>>>>>>]<]<[->+>+<<]>>[-<<+>>][-]+++++++++[<[->>+>+<<<]>>>[-<<<+>>>]<[[-]>+<]+>[-<->]<[-<[-]+<+>>]<-<->]<[[-]>+<]>[-
<+>]<[-<----------<+>>][-]+[-<[->>+<<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]<[->+<]>>>>>>>>>>>[-<<<<<<
<<<<<+>>>>>>>>>>>]<]<<<<<<<<<<<<<<<<<<]>>>>>[-]]>>>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++
+++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++
+++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>+++++++++++++++++++++++++++++++++++++++++++
+++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++
++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++
++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++
++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++
++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[
-]<<<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++
++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++
++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++
++++++++++++++++++.[-]<<<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++
++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[
-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<<<<]>[++++
++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++
++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++
++++++++++++++++.[-]<<<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++
++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]<<
<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++
++++++++++++++++++++++++++++++++++++++.[-]<<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]>++++++++++++++++++++
++++++++++++++++++++++++++++.[-]<]>[++++++++++++++++++++++++++++++++++++++++++++++++.[-]]>++++++++++++++++++++++++++++++
++++++++++++++++++.[-]<<<<<<<<<<[-]<[-]<[-]<[-]<[-]<[-]<[-]<[-]++++++++++.