#include using namespace std; const int64_t MOD = 1e9+7; void add(int64_t& a, int64_t b){ a = (a+b) % MOD; } void mul(int64_t& a, int64_t b){ a = a*b % MOD; } vector fact, seq_inv, fact_inv; void create_fact_mod(int num){ fact[0] = fact[1] = 1; for(int i=2; i<=num; i++) fact[i] = fact[i-1] * i % MOD; } void create_seq_inv_mod(int num){ seq_inv[0] = seq_inv[1] = 1; for(int i=2; i<=num; i++) seq_inv[i] = (MOD - MOD/i) * seq_inv[MOD%i] % MOD; } void create_fact_inv_mod(int num){ fact_inv[0] = fact_inv[1] = 1; for(int i=2; i<=num; i++) fact_inv[i] = fact_inv[i-1] * seq_inv[i] % MOD; } void create_mod_tables(int num){ fact.resize(num+1); seq_inv.resize(num+1); fact_inv.resize(num+1); create_fact_mod(num); create_seq_inv_mod(num); create_fact_inv_mod(num); } int64_t comb_mod(int n, int k){ return fact[n] * fact_inv[n-k] % MOD * fact_inv[k] % MOD; } int64_t perm_mod(int n, int k){ return fact[n] * fact_inv[n-k] % MOD; } vector prime_factor(int64_t n){ vector ret; for(int64_t i=2; i*i<=n; i++){ if(n % i == 0){ while(n % i == 0) n /= i; ret.push_back(i); } } if(n > 1) ret.push_back(n); return ret; } int64_t gcd(int64_t a, int64_t b){ return b==0 ? a : gcd(b, a%b); } int nth_bit(int64_t num, int n){ return (num >> n) & 1; } int main() { int N, K; cin >> N >> K; create_mod_tables(N); auto primes = prime_factor(gcd(K, N)); int sz = primes.size(); int64_t ans = 0; for(int i=1; i<(1<