/* -*- coding: utf-8 -*- * * 658.cc: No.658 テトラナッチ数列 Hard - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int N = 4; const int MOD = 17; const int MAX_K = 60; const int A[N][N] = { { 0, 1, 0, 0 }, { 0, 0, 1, 0 }, { 0, 0, 0, 1 }, { 1, 1, 1, 1 } }; const int V[N] = { 0, 0, 0, 1 }; /* typedef */ typedef int vec[N]; typedef vec mat[N]; typedef long long ll; /* global variables */ mat as[MAX_K + 1]; /* subroutines */ inline void initmat(mat a) { memset(a, 0, sizeof(mat)); } inline void unitmat(mat a) { initmat(a); for (int i = 0; i < N; i++) a[i][i] = 1; } inline void copymat(const mat a, mat b) { memcpy(b, a, sizeof(mat)); } inline void addmat(const mat a, const mat b, mat c) { for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) c[i][j] = (a[i][j] + b[i][j]) % MOD; } inline void mulmat(const mat a, const mat b, mat c) { for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) { c[i][j] = 0; for (int k = 0; k < N; k++) c[i][j] += a[i][k] * b[k][j] % MOD; c[i][j] %= MOD; } } inline void mulmatvec(const mat a, const vec b, vec c) { for (int i = 0; i < N; i++) { c[i] = 0; for (int j = 0; j < N; j++) c[i] += a[i][j] * b[j] % MOD; c[i] %= MOD; } } /* main */ int main() { copymat(A, as[0]); for (int k = 0; k < MAX_K; k++) mulmat(as[k], as[k], as[k + 1]); int q; scanf("%d", &q); while (q--) { ll n; scanf("%lld", &n); if (n <= N) printf("%d\n", V[n - 1]); else { n -= N; mat s; unitmat(s); for (int k = 0; n > 0LL; k++, n >>= 1) if ((n & 1LL) != 0LL) { mat t; mulmat(s, as[k], t); copymat(t, s); } vec v; mulmatvec(s, V, v); printf("%d\n", v[N - 1]); } } return 0; }