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>
#include <set>
#include <cstdio>
#include <cmath>
#include <algorithm>
#include <string>
#define int long long
const int mod = 1e9+7;
using namespace std;
int32_t main() {
int n, k; cin >> n >> k;
vector<int> y(n+1, 1);
for(int i = 1; i <= n; i ++) y[i] = y[i-1] * 2;
int ind = k;
ind --;
int ans = 1;
while(ind != 0){
(ans += (y[n-ind-1] % mod)) %= mod;
ind -= y[ind];
}
cout << ans;
return 0;
}
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