This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//RACK
#define _CTR_SECURE_NO_WARNINGS
#include <iostream>
#include <vector>
typedef long long int ll;
template <typename T> T in()
{
T x;
std::cin >> x;
return x;
}
constexpr int maxn = 1e6 + 3;
constexpr int mod = 1e9 + 7;
ll pow2[maxn]{ 1 };
std::vector <ll> wek{ 1 };
std::vector <ll> wek2;
int main()
{
std::cin.tie(nullptr); std::cout.tie(nullptr); std::ios_base::sync_with_stdio(0);
int n(in<int>());
std::size_t k(in<std::size_t>());
for (int i(1); i < n; ++i)pow2[i] = (pow2[i - 1] * 2) % mod;
int j(n);
while (wek.size() < k)
{
--j;
for (auto i : wek)wek2.push_back((i + pow2[j]) % mod);
for (auto i : wek2)wek.push_back(i);
wek2.clear();
}
std::cout << wek[k - 1] << '\n';
return 0;
}
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