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 pb push_back
#define pf push_front
using namespace std;
#define F first
#define S second
typedef long long ll;
#define pii pair <int, int>
#define pll pair <ll, ll>
typedef long double ld;
const ll N = 1e5 + 10;
const ll mod = 1e9 + 7;
ll um(ll a, ll b){
return ((1LL * a * b) % mod + mod) % mod;
}
ll subr(ll a, ll b){
return ((1LL * a - b) % mod + mod) % mod;
}
ll add(ll a, ll b){
return ((1LL * a + b) % mod + mod) % mod;
}
ll binpow(ll x, ll step){
ll res = 1LL;
while(step){
if(step & 1) res = um(res, x);
x = um(x, x);
step /= 2;
}
return res;
}
/*
Восемь восемьсот пять пять пять
три пять три пять
Проще кому то позвонить
чем у кого-то деньги занимать
*/
int main() {
ios::sync_with_stdio(false);
cin.tie(NULL);
ll n, k, ans = 1LL, num = 1LL;
cin >> n >> k;
for(ll i = 0; i < n - 1; i++){
ans = um(ans, 2LL);
}
ll rev2 = binpow(2LL, mod - 2);
for(ll i = 0; i < n; i++){
if(k % 2 == 0) num = add(num, ans);
k = (k + 1) / 2;
ans = um(ans, rev2);
}
cout << num;
return 0;
}
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