// ladapakolas.cpp : This file contains the 'main' function. Program execution begins and ends there.
//

#include <iostream>
#include <queue>
#include <map>
#define ll long long

using namespace std;

map<ll, ll>st;

ll db, i, n, m, s;

int main()
{
    cin >> n >> m;

    vector<ll>x(n + 1);

    for (i = 1; i <= n; ++i) cin >> x[i];

    i = 1;
    while (i <= n)
    {
        st.clear();
        s = x[i];
        st[x[i]] = 1;
        ++i;

        while (i <= n && x[i - 1] < x[i] && s + x[i] < m)
        {
            s += x[i];
            st[x[i]] = 1;
            ++i;
            ++db;
        }
        while (i <= n && x[i - 1] > x[i] && s + x[i] < m && st[x[i]] != 1)
        {
            s += x[i];
            ++i;
            ++db;
        }
    }

    cout << db;
}

/*
12 16
1 3 5 4 2 6 8 7 6 5 3 4
*/
// Run program: Ctrl + F5 or Debug > Start Without Debugging menu
// Debug program: F5 or Debug > Start Debugging menu

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//   6. In the future, to open this project again, go to File > Open > Project and select the .sln file