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 forsn(i,s,n) for(int i=int(s);i<int(n);i++)
#define forn(i,n) forsn(i,0,n)
#define dforsn(i,s,n) for(int i=int(n)-1;i>=int(s);i--)
#define dforn(i,n) dforsn(i,0,n)
#define sz(x) int(x.size())
#define all(x) begin(x),end(x)
#define pb push_back
typedef long long ll;
typedef vector<int> vi;
typedef vector<ll> vll;
typedef pair<int,int> ii;
const int MOD=1e9+7;
int n;
vll pw;
ll solve(int lvl, ll cnt){
if(lvl==n) return 1LL;
if(cnt%2==1){
return solve(lvl+1,(cnt+1)/2);
}else{
return (pw[n-1-lvl]+solve(lvl+1,cnt/2))%MOD;
}
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
ll k;
cin>>n>>k;
pw.resize(n+1);
pw[0]=1;
forn(i,n) pw[i+1]=pw[i]*2LL%MOD;
cout<<solve(0,k)<<'\n';
return 0;
}
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