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;
#define int long long
const int mod=1e9+7;
int power(int a,int n){
int res=1;
while(n){
if(n&1) res=res*a%mod;
a=a*a%mod;n>>=1;
}
return res;
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int n,x,ans=0;cin >> n >> x;
for(int i=n-1;i>=0;i--){
if(x%2==0){ans=(ans+power(2,i))%mod;x>>=1;}
else x=x/2+1;
}
cout << ans+1 << '\n';
}
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