Added Coin Change under Dynamic Programming

dynamic-programming/coin_change.cpp

@@ -0,0 +1,41 @@
+#include<iostream> 
+
+using namespace std;
+
+int count( int S[], int m, int n ) 
+{ 
+    int i, j, x, y; 
+
+    // We need n+1 rows as the table is constructed  
+    // in bottom up manner using the base case 0 
+    // value case (n = 0) 
+    int table[n+1][m];
+
+    // Fill the enteries for 0 value case (n = 0) 
+    for (i=0; i<m; i++) 
+        table[0][i] = 1; 
+
+    // Fill rest of the table entries in bottom  
+    // up manner   
+    for (i = 1; i < n+1; i++) 
+    { 
+        for (j = 0; j < m; j++) 
+        { 
+            // Count of solutions including S[j] 
+            x = (i-S[j] >= 0)? table[i - S[j]][j]: 0; 
+            // Count of solutions excluding S[j] 
+            y = (j >= 1)? table[i][j-1]: 0;
+            table[i][j] = x + y; 
+        } 
+    } 
+    return table[n][m-1]; 
+} 
+
+int main() 
+{ 
+    int coins[] = {1, 2, 3}; 
+    int m = sizeof(coins)/sizeof(int); 
+    int n = 5;
+    cout << count(coins, m, n); 
+    return 0;
+}