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>
//#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
//using namespace __gnu_pbds;
#define speed ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#define russian setlocale(LC_ALL,"Russian_Russia.20866");
#define file freopen("condense2.in", "r", stdin), freopen("condense2.out", "w", stdout);
#define ll long long
#define ull unsigned long long
#define ld long double
#define pll pair<ll, ll>
#define pii pair<int, int>
#define pli pair<ll, int>
#define all(s) s.begin(), s.end()
#define pb push_back
#define ins insert
#define mp make_pair
#define sz(x) x.size()
#define F first
#define S second
#define lb lower_bound
#define ub upper_bound
#define mem(x) memset(x, 0, sizeof(x))
const ll N = 1000000;
const ll M = 1e9 + 7;
const ll block = 316;
const ll mod = 1e9 + 7;
const ll P = 263;
const ld pi = acos(-1);
const ll inf = 9e18;
ll add(ll a, ll b) {
if(a + b < 0) return a + b + mod;
if(a + b >= mod) return a + b - mod;
return a + b;
}
ll sub(ll a, ll b) {
return (a - b + mod) % mod;
}
ll mul(ll a, ll b) {
return a * b % mod;
}
ll binpow(ll a, ll n) {
ll res = 1;
while(n) {
if(n & 1) res = mul(res, a);
a = mul(a, a);
n >>= 1;
}
return res;
}
ll inv(ll x) {
return binpow(x, mod - 2);
}
ll get(ll x) {
ll res = 0, step = binpow(2LL, (ll)log2(x));
while(x) {
if(x & 1) res += step;
step = mul(step, inv(2LL));
x >>= 1;
}
return res;
}
void solve() {
ll n, k;
cin >> n >> k;
if(k == 1) {
cout << "1\n";
return;
}
k--;
ll delt = n - (ll)log2(k) - 1LL;
k = get(k);
k = mul(k, binpow(2LL, delt));
cout << k + 1 << '\n';
}
signed main() {
speed;
//file;
int test = 1;
//cin >> test;
while(test--) {
solve();
}
}
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