#include<bits/stdc++.h>
using namespace std;
const int Dx[] = {1, -1, 0, 0};
const int Dy[] = {0, 0, 1, -1};
#define all(x) x.begin(),x.end()
#define fi first
#define se second
const int N = 4e5 + 5, base = 300;
int n, nextp[N][37], ans = 1e9;
long long s[N], k;
int main()
{
if(fopen("vd.inp", "r")){
freopen("vd.inp", "r", stdin);
freopen("vd.out", "w", stdout);
}
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin >> n >> k;
int len = n;
for(int i = 1; i <= n; i++) {
cin >> s[i];
s[i + n] = s[i];
}
n *= 2;
for(int i = 1; i <= n; i++)
s[i] += s[i - 1];
for(int i = 1; i <= n; i++) {
nextp[i][0] = upper_bound(s + 1, s + n + 1, s[i - 1] + k) - s;
}
for(int i = 1; i <= 20; i++)
for(int j = 1; j <= n; j++)
nextp[j][i] = nextp[nextp[j][i - 1]][i - 1];
for(int i = 1; i <= len; i++) {
int x = i, d = 0;
for(int j = 20; j >= 0; j--) {
if(nextp[x][j] && nextp[x][j] <= i + len - 1) {
x = nextp[x][j];
d += (1 << j);
}
}
ans = min(ans, d + 1);
}
cout << ans;
return 0;
}
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