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>
#define N 1000005
#define int long long
using namespace std;
const int mod = 1e9+7;
int pw[N];
int binpow(int a,int b){
int ret = 1;
while(b){
if(b&1){
ret = ret*a%mod;
}
a = a*a%mod;
b >>= 1;
}
return ret;
}
void solve(){
int n,k;
cin >> n >> k;
int ans = 1;
for(int i=60;i>=0;i--){
if(k > pw[i]){
k -= pw[i];
ans = (ans + binpow(2,n-i-1))%mod;
}
}
cout << ans;
}
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
#ifdef Local
freopen("in.txt","r",stdin);
freopen("out.txt","w",stdout);
#endif
pw[0] = 1;
for(int i=1;i<N;i++){
pw[i] = min((int)2e18,pw[i-1]*2);
}
int t=1;
//cin>>t;
while(t--){
solve();
}
#ifdef Local
cout<<endl<<fixed<<setprecision(2)<<1000.0 * clock() / CLOCKS_PER_SEC<< " milliseconds ";
#endif
}
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