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 <iostream>
#include <vector>
using namespace std;
const long long mod = 1000000007;
long long fastPow(long long a, long long b) {
if (b == 0) return 1LL;
if (b % 2 == 0) {
long long result = fastPow(a, b / 2);
return (result * result) % mod;
}
return (a * fastPow(a, b - 1)) % mod;
}
int main() {
int n; cin >> n;
long long k; cin >> k;
vector<bool> digits(n, false);
int idx = n;
k--;
while (k != 0) {
digits[--idx] = k % 2;
k = k / 2;
}
long long ans = 0;
for (int i = 0; i < n; i++) {
if (digits[i] == 1) {
ans += fastPow(2, i);
if (ans >= mod) ans -= mod;
}
}
ans++;
ans %= mod;
cout << ans << endl;
return 0;
}
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