이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <iostream>
#include <map>
#include <unordered_map>
#include <set>
#include <vector>
#include <queue>
#include <algorithm>
#include <cmath>
#include <iomanip>
using namespace std;
#define ll long long
#define PLL pair<ll, ll>
#define PB push_back
#define F first
#define S second
#define MP make_pair
const ll INF = 999999999999999999;
const ll M = 1000000000+7;
ll binExp(ll a, ll b){
if(a==1){
return 1;
}
if(b==0){
return 1;
}
ll ans = 1;
if(b%2==1){
ans = a;
}
return (binExp((a*a)%M,b/2)*ans)%M;
}
ll solve(ll n, ll k){
ll index = 1,npow = 1,tpow = 1, m = binExp(2,n),Inv = binExp(2,M-2);
k--;
//cout<<m<<" "<<Inv<<endl;
for(ll i=0; i<=n; i++){
if(npow>k or npow<1){
break;
}
//cout<<(k&tpow)<<" "<<tpow<<endl;
if((k&npow)!=0){
//cout<<(m/tpow)/2<<endl;
index = (index + ((Inv*((m*tpow)%M))%M))%M;
}
//cout<<index<<endl;
tpow = (tpow*Inv)%M;
npow*=2;
}
return index;
}
int main(){
ll n,k;
cin>>n>>k;
cout<<solve(n,k);
}
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