#pragma GCC optimize ("O3") #pragma GCC target ("avx") #include #include #include #include #include #include #include #include #include #include #include #include #include #define getchar getchar_unlocked #define putchar putchar_unlocked #define _rep(_1, _2, _3, _4, name, ...) name #define rep2(i, n) rep3(i, 0, n) #define rep3(i, a, b) rep4(i, a, b, 1) #define rep4(i, a, b, c) for (int i = int(a); i < int(b); i += int(c)) #define rep(...) _rep(__VA_ARGS__, rep4, rep3, rep2, _)(__VA_ARGS__) using namespace std; using i8 = signed char; using i16 = signed short; using i64 = long long; using u8 = unsigned char; using u32 = unsigned; using u64 = unsigned long long; using f80 = long double; const int mod = 1e9 + 7; const int phi = mod - 1; const int pisano = 2 * (mod + 1); // p == 3, 7 (mod 10) i64 get_i64() { i64 n; int c; while ((c = getchar()) < '0'); n = c - '0'; while ((c = getchar()) >= '0') n = n * 10 + c - '0'; return n; } int get_exp() { i64 n; int c; while ((c = getchar()) < '0'); n = c - '0'; while ((c = getchar()) >= '0') { if ((n = n * 10 + c - '0') > i64(9e17)) n %= phi; } return n % phi; } int pow_mod(int b, int e) { int ret = 1; for (; e; e >>= 1, b = i64(b) * b % mod) if (e & 1) ret = i64(ret) * b % mod; return ret; } const int pre = 1 << 16; int f1[2 + pre], f21[pre >> 1], f22[pre >> 1]; void init() { auto add_mod = [&] (int a, int b) { return (a += b - mod) < 0 ? a + mod : a; }; int a = 0, b = 1; f1[0] = 0; rep(i, 1, 2 + pre) { swap(a = add_mod(a, b), b); f1[i] = a; } int x = a = f21[1] = f1[pre - 1]; int y = b = f22[1] = f1[pre]; int z = f1[pre + 1]; rep(i, 2, pre >> 1) { int na = (i64(b) * y + i64(a) * x) % mod; int nb = (i64(b) * z + i64(a) * y) % mod; a = f21[i] = na; b = f22[i] = nb; } } int fib(int n) { if (n < pre) return f1[n]; int q = n >> 16, r = n & (pre - 1); if (r == 0) return f22[q]; else return (i64(f22[q]) * f1[r + 1] + i64(f21[q]) * f1[r]) % mod; } void solve() { init(); int N; while (~scanf("%d", &N)) { int ans = 1; rep(i, N) { int ind = (get_i64() + 2) % pisano; int f = fib(ind); if (f == 0) ans = 0; int ex = get_exp(); ans = i64(ans) * pow_mod(f, ex) % mod; } printf("%d\n", ans); } } int main() { clock_t beg = clock(); solve(); clock_t end = clock(); fprintf(stderr, "%.3f sec\n", double(end - beg) / CLOCKS_PER_SEC); }