#include #include #include using std::cin; using std::cout; const char endl = '\n'; class Matrix { private: long long data[10][10], mod; public: Matrix(long long _mod = 1e9 + 7) : mod(_mod) { memset(data, 0x00, sizeof(data)); } long long *operator[](long long i) { return data[i]; } Matrix operator*(Matrix b) const { Matrix c(mod); int n = 2; for (int i = 1; i <= n; i++) { for (int j = 1; j <= n; j++) { for (int k = 1; k <= n; k++) { c[i][j] = (c[i][j] + data[i][k] * b[k][j] % mod) % mod; } } } return c; } }; Matrix binpow(Matrix a, long long k, long long p) { Matrix res(p); res[1][1] = 1; res[1][2] = 1; while (k) { if (k & 1) res = res * a; a = a * a; k >>= 1; } return res; } long long fib(long long n, long long p) { if (n <= 2) { return n != 0; } Matrix tmp(p); tmp[1][1] = 1, tmp[1][2] = 1; tmp[2][1] = 1, tmp[2][2] = 0; return binpow(tmp, n - 2, p)[1][1]; } long long exgcd(long long a, long long b, long long &x, long long &y) { if (!b) { x = 1, y = 0; return a; } long long g = exgcd(b, a % b, y, x); y -= a / b * x; return g; } long long calc(long long x, long long y) { if (x == 0) return 0; return x < 0 ? -(-x + y - 1) / y : x / y; } int main() { std::ios::sync_with_stdio(false); cin.tie(nullptr); int t; cin >> t; while (t--) { long long i, l, r, k, p, m, x, y; cin >> i >> l >> r >> k >> p >> m; long long f1 = fib(k - 2, p), f2 = fib(k - 1, p); long long a = f2, b = p, c = ((m - i % p * f1 % p) + p) % p, g = std::__gcd(a, b); if (c % g) { cout << 0 << endl; continue; } a /= g, b /= g, c /= g; exgcd(a, b, x, y); x = (x * c % b + b) % b; cout << calc(r - x, b) - calc(l - x - 1, b) << endl; } return 0; }