#include using ll = std::int64_t; int main(){ std::cin.tie(nullptr); std::ios::sync_with_stdio(false); ll N, K; std::cin >> N >> K; std::vector A(2 * K); for(int i=0;i> A[i]; A[i + K] = A[i] + 2 * N; } auto mul = [](const std::vector &a, const std::vector &b){ std::vector res(a.size()); for(int i=0;i &a, int n, std::vector &res){ std::iota(res.begin(), res.end(), 0); while(n > 0){ if(n & 1){res = mul(res, a);} a = mul(a, a); n /= 2; } return res; }; std::vector D(2 * N); for(int i=0,j=0;i<2*N;i++){ while(j < 2 * K && 2 * i > A[j]){j += 1;} D[i] = j; } std::vector B(2 * N + 1), C(2 * N + 1); auto f = [&](int x){ B[2 * N] = 2 * N; for(int i=0;i<2*N;i++){ if(D[i] == 2 * K){ B[i] = 2 * N; }else{ B[i] = std::min(std::max((A[D[i]] + 1) / 2, i + x), 2 * N); } } pow(B, K, C); for(int i=0;i 1){ int m = (ok + ng) / 2; if(f(m)){ ok = m; }else{ ng = m; } } int res = ok * 2; std::cout << res << std::endl; }