#include <bits/stdc++.h>
using namespace std;
#define int long long int
#define double long double
#define print(a) for(auto x : a) cout << x << " "; cout << endl
const int M = 1000000007;
const int N = 3e5+9;
const int INF = 2e9+1;
const int LINF = 2000000000000000001;
inline int power(int a, int b, int mod=M) {
int x = 1;
a %= mod;
while (b) {
if (b & 1) x = (x * a) % mod;
a = (a * a) % mod;
b >>= 1;
}
return x;
}
//_ ***************************** START Below *******************************
vector<int> a;
int consistency(int n, int m){
vector<int> dp(n+1, 0);
dp[0] = 1;
dp[1] = 1;
for(int i=2; i<=n; i++){
int j = i-1;
int sum = a[i];
while(j>=0 && sum <= m ){
dp[i] += dp[j];
sum += a[j];
j--;
}
}
return dp[n];
}
int practice(int n, int m){
return 0;
}
void solve() {
int n, m;
cin >> n >> m;
a.resize(n+1);
for(int i=1; i<=n; i++) cin >> a[i];
cout << consistency(n, m) << endl;
}
int32_t main() {
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t = 1;
// cin >> t;
while (t--) {
solve();
}
return 0;
}
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