#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef unsigned long long ull;
typedef double db;
typedef long double ldb;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set;
#define f first
#define s second
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define IO ios_base::sync_with_stdio(0), cin.tie(0)
const int mod = 1e9 + 7;
template <typename T>
void readArray(vector<T> &A)
{
    for (T &i : A)
        cin >> i;
}
template <typename T>
void readArray(vector<vector<T>> &A)
{
    for (vector<T> &i : A)
        readArray(i);
}
template <typename T>
void printArray(vector<T> A)
{
    for (T i : A)
        cout << i << " ";
    cout << endl;
}
ll fastPow(ll a, ll b, ll m = mod)
{
    a %= m;
    ll res = 1;
    while (b > 0)
    {
        if (b & 1)
            res = res * a % m;
        a = a * a % m;
        b >>= 1;
    }
    return res;
}
bool isPrime(ll n, int iter = 5)
{
    if (n < 4)
        return n == 2 || n == 3;
    for (int i = 0; i < iter; i++)
    {
        int a = 2 + rand() % (n - 3);
        if (fastPow(a, n - 1, n) != 1)
            return false;
    }
    return true;
}
ll inv(ll n, ll m = mod)
{
    return fastPow(n, m - 2);
}
ll mul(ll a, ll b, ll m = mod)
{
    return (a * b) % m;
}
ll add(ll a, ll b, ll m = mod)
{
    return (a + b + m) % m;
}
void solve()
{
    int n, s;
    cin >> n >> s;
    int cur = s;
    int cnt = 0;
    for (int i = 0; i < n; i++)
    {
        string l;
        cin >> l;
        int need = l[0] - '0';
        if (l.length() > 1)
            need++;
        if (cur >= need)
            cur -= need;
        else
        {
            cnt++;
            cur = s - need;
        }
    }
    cout << cnt;
}
void trials()
{
    int t, tt;
    for (cin >> t, tt = t; t--; cout << endl)
    {
        // cout << "Case #" << tt - t << ": ";
        solve();
    }
}
int main()
{
    // freopen("","r",stdin);
    IO;
    solve();
}