Submission #1304685

#TimeUsernameProblemLanguageResultExecution timeMemory
1304685ToniBRack (eJOI19_rack)C++20
100 / 100
6 ms4156 KiB
#include <bits/stdc++.h>
using namespace std;

const int N = 1e6 + 2;
const int MOD = 1e9 + 7;

inline int add(int a, int b) {
	return (a + b >= MOD) ? a + b - MOD : a + b;
}
inline int mul(int a, int b) {
	return (long long) a * b % MOD;
}

int n, p[N];
long long k;

int main() {
	cin >> n >> k;
	k -= 1;
	
	p[0] = 1;
	for (int i = 1; i < n; ++i) {
		p[i] = mul(p[i - 1], 2);
	}

	int ans = 0;
	
	for (int i = 0; (1LL << i) <= k; ++i) {
		if (k & 1LL << i) {
			ans = add(ans, p[n - 1 - i]);
		}
	}
	
	cout << add(ans, 1) << "\n";

	return 0;
}
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