#include <bits/stdc++.h>

using namespace std;

#define FILE ""
#define FILEIO 0
#define LONG 0
#define IOSOPT 0

#if LONG
    typedef long long ll;
    typedef unsigned long long ull;
#else // LONG
    typedef int ll;
    typedef unsigned int ull;
#endif
typedef short sym;
#define pb push_back
#define mp make_pair
#define p(a, b) pair < a, b >
#define rev(a) reverse(a.begin(), a.end())
#define ord(a) sort(a.begin(), a.end())
#define rm erase
#define rs resize
#define sz size
#define fi first
#define se second
#define ins insert
#define die(a) \
    { \
        cout << a << endl; \
        exit(0); \
    }
#define stlprint(a) \
    for(auto _STL_ITER = a.begin(); _STL_ITER != a.end(); _STL_ITER++) \
    { \
        cout << (*_STL_ITER) << ' '; \
    }

ll aryph(ll a0, ll n, ll k = 1)
{
    ll an = a0 + k * (n - 1);
    return (((a0 + an) * n) / 2);
}

main()
{
    #if IOSOPT
        ios_base::sync_with_stdio(0);
        cin.tie(0);
    #endif // IOSOPT
    #if FILEIO
        freopen(FILE".in", "r", stdin);
        freopen(FILE".out", "w", stdout);
    #endif
    ll n, t;
    cin >> n >> t;
    vector < vector < ll > > a;
    a.rs(n);
    for(int i = 0; i < n; i++)
    {
        a[i].rs(i + 1);
    }
    ll two = 1 << 10;
    for(int time = 0; time < t; time++)
    {
        a[0][0] += two;
        if(a[0][0] > two)
        {
            a[1][0] += (two / 2);
            a[1][1] += (two / 2);
            a[0][0] = two;
        }
        for(int i = 1; i < (n - 1); i++)
        {
            for(int j = 0; j < a[i].sz(); j++)
            {
                if(a[i][j] > two)
                {
                    a[i + 1][j] += (a[i][j] - two) / 2;
                    a[i + 1][j + 1] += (a[i][j] - two) / 2;
                    a[i][j] = two;
                }
            }
        }
    }
    ll cnt = 0;
    for(int i = 0; i < n; i++)
        for(int j = 0; j < a[i].sz(); j++)
            cnt += (a[i][j] >= two);
    cout << cnt << endl;
}