This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#include <random>
#ifndef LOCAL
//#pragma GCC optimize("O3")
//#pragma GCC optimize("Ofast")
//#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx,avx2,bmi,bmi2,popcnt,lzcnt")
#endif
using namespace std;
typedef long long ll;
typedef double dd;
typedef long double ld;
typedef unsigned int uii;
#define x first
#define y second
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
void solve();
mt19937_64 mt(1);
int32_t main() {
#ifdef LOCAL
freopen("input.in", "r", stdin);
freopen("output.out", "w", stdout);
#else
ios::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
//freopen("amusing.in", "r", stdin);
//freopen("amusing.out", "w", stdout);
#endif
cout << fixed << setprecision(30);
int tests = 1;
//cin >> tests;
while (tests--) {
solve();
}
}
const int mod = 1000000007;
void solve() {
ll n, k;
cin >> n >> k;
vector<int> i2(n);
i2[0] = 1;
for (int i = 1; i < n; i++) {
i2[i] = (i2[i - 1] * 2) % mod;
}
int ans = 1;
for (int i = n - 1; i >= 0; i--) {
if (!(k % 2)) {
ans += i2[i];
ans %= mod;
}
k = (k + 1) / 2;
}
cout << ans << '\n';
}
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