Create CoinChange.cpp

C++/CoinChange.cpp

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+// C++ program for coin change problem
+
+#include <bits/stdc++.h>
+
+using namespace std;
+
+int count(int coins[], int n, int sum)
+{
+	int i, j, x, y;
+
+	// We need sum+1 rows as the table
+	// is constructed in bottom up
+	// manner using the base case 0
+	// value case (sum = 0)
+	int table[sum + 1][n];
+
+	// Fill the entries for 0
+	// value case (sum = 0)
+	for (i = 0; i < n; i++)
+		table[0][i] = 1;
+
+	// Fill rest of the table entries
+	// in bottom up manner
+	for (i = 1; i < sum + 1; i++) {
+		for (j = 0; j < n; j++) {
+			// Count of solutions including coins[j]
+			x = (i - coins[j] >= 0) ? table[i - coins[j]][j]
+									: 0;
+
+			// Count of solutions excluding coins[j]
+			y = (j >= 1) ? table[i][j - 1] : 0;
+
+			// total count
+			table[i][j] = x + y;
+		}
+	}
+	return table[sum][n - 1];
+}
+
+// Driver Code
+int main()
+{
+	int coins[] = { 1, 2, 3 };
+	int n = sizeof(coins) / sizeof(coins[0]);
+	int sum = 4;
+	cout << count(coins, n, sum);
+	return 0;
+}