'c++ for coin combination problem not working
I am solving the coin combination problem given below:
Consider a money system consisting of n coins. Each coin has a positive integer value. Your task is to calculate the number of distinct ordered ways you can produce a money sum x using the available coins.
For example, if the coins are {2,3,5} and the desired sum is 9, there are 3 ways:
- 2+2+5
- 3+3+3
- 2+2+2+3
Input:
The first input line has two integers n and x: the number of coins and the desired sum of money.
The second line has n distinct integers c1,c2,…,cn: the value of each coin.
Output:
Print one integer: the number of ways modulo 109+7.
For more information here is the link to the given problem: https://cses.fi/problemset/task/1636
I tried writing the following code in C++ using dynamic programming:
#include<bits/stdc++.h>
using namespace std;
const long N=1e6+10,mod=1e9+7;
long dp[N];
long recursion(int coins,int sum,int a[])
{
if(sum==0)
return 1;
if(dp[sum]!=-1)
return dp[sum];
long count=0;
for(long i=0;i<coins;i++)
{
if(sum-a[i]>=0)
count=count+recursion(coins,sum-a[i],a);
}
return dp[sum]=count%mod;
}
int main()
{
memset(dp,-1,sizeof(dp));
int n,x;
cin>>n>>x;
int a[n];
for(int i=0;i<n;i++)
{
cin>>a[i];
}
cout<<recursion(n,x,a);
return 0;
}
But it shows wrong answer for some test cases. Can someone please help me sort this problem.
Sources
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