usaco-Money Systems

#include <iostream>
#include <string>
#include <cstdio>
#include <cmath>
#include <cstring>
#include <algorithm>
#include <vector>
#include <queue>
#define range(i,a,b) for(int i=a;i<=b;++i)
#define LL long long
#define rerange(i,a,b) for(int i=a;i>=b;--i)
#define fill(arr,tmp) memset(arr,tmp,sizeof(arr))
using namespace std;
int n,v;
LL val[30],dp[10005];
void init(){
    cin>>v>>n;
    range(i,0,v-1)cin>>val[i];
    fill(dp,0);
    dp[0]=1;
}
void solve(){
    range(i,0,v-1)range(j,val[i],n)dp[j]+=dp[j-val[i]];
    cout<<dp[n]<<endl;
}
int main() {
    init();
    solve();
    return 0;
}