_171coinChange.java

public class _171coinChange {
    public static int coin(int coins[],int sum){
        int n = coins.length;
        int dp[][]=new int[n+1][sum+1];
        for(int i=0;i<=n;i++){
            dp[i][0]=1;
        }
        for(int i=1;i<n+1;i++){
            for(int j=1;j<sum+1;j++){
                if(coins[i-1]<=j){//valid
                    dp[i][j]=dp[i][j-coins[i-1]]+dp[i-1][j];
                } else{ //invalid
                    dp[i][j]=dp[i-1][j];
                }
            }
        }
        print(dp);
        return dp[n][sum];
    }
    public static void print(int dp[][]){
        for(int i = 0;i<dp.length;i++){
            for(int j = 0;j<dp[0].length;j++){
                System.out.print(dp[i][j]+" ");
            }
            System.out.println();
        }
        System.out.println();
    }
    public static void main(String[] args) {
        int coins[]={2,5,3,6};
        int sum = 10;
        System.out.println(coin(coins, sum));
    }
}