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>
using namespace std;
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
int main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
const int MD = 1e9 + 7;
int N; long long K; cin >> N >> K;
auto bpow = [&](int a, int b) {
int res = 1;
for (; b; a = (long long) a * a % MD, b /= 2) {
if (b & 1) {
res = (long long) res * a % MD;
}
}
return res;
};
auto add = [&](int &x, int y) {
if ((x += y) >= MD) {
x -= MD;
}
};
int res = 1;
for (int i = 0; i < N; ++i) {
if (K % 2 == 0) {
add(res, bpow(2, N - i - 1));
}
K = (K + 1) / 2;
}
cout << res;
return 0;
}
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