#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; namespace { using Integer = long long; //__int128; template istream& operator >> (istream& is, pair& p){return is >> p.first >> p.second;} template istream& operator >> (istream& is, vector& vec){for(T& val: vec) is >> val; return is;} template istream& operator , (istream& is, T& val){ return is >> val;} template ostream& operator << (ostream& os, const pair& p){return os << p.first << " " << p.second;} template ostream& operator << (ostream& os, const vector& vec){for(size_t i=0; i ostream& operator , (ostream& os, const T& val){ return os << " " << val;} template void print(const H& head){ cout << head; } template void print(const H& head, const T& ... tail){ cout << head << " "; print(tail...); } template void println(const T& ... values){ print(values...); cout << endl; } template void eprint(const H& head){ cerr << head; } template void eprint(const H& head, const T& ... tail){ cerr << head << " "; eprint(tail...); } template void eprintln(const T& ... values){ eprint(values...); cerr << endl; } class range{ Integer start_, end_, step_; public: struct range_iterator{ Integer val, step_; range_iterator(Integer v, Integer step) : val(v), step_(step) {} Integer operator * (){return val;} void operator ++ (){val += step_;} bool operator != (range_iterator& x){return step_ > 0 ? val < x.val : val > x.val;} }; range(Integer len) : start_(0), end_(len), step_(1) {} range(Integer start, Integer end) : start_(start), end_(end), step_(1) {} range(Integer start, Integer end, Integer step) : start_(start), end_(end), step_(step) {} range_iterator begin(){ return range_iterator(start_, step_); } range_iterator end(){ return range_iterator( end_, step_); } }; inline string operator "" _s (const char* str, size_t size){ return move(string(str)); } constexpr Integer my_pow(Integer x, Integer k, Integer z=1){return k==0 ? z : k==1 ? z*x : (k&1) ? my_pow(x*x,k>>1,z*x) : my_pow(x*x,k>>1,z);} constexpr Integer my_pow_mod(Integer x, Integer k, Integer M, Integer z=1){return k==0 ? z%M : k==1 ? z*x%M : (k&1) ? my_pow_mod(x*x%M,k>>1,M,z*x%M) : my_pow_mod(x*x%M,k>>1,M,z);} constexpr unsigned long long operator "" _ten (unsigned long long value){ return my_pow(10,value); } inline int k_bit(Integer x, int k){return (x>>k)&1;} //0-indexed mt19937 mt(chrono::duration_cast(chrono::steady_clock::now().time_since_epoch()).count()); template string join(const vector& v, const string& sep){ stringstream ss; for(size_t i=0; i0) ss << sep; ss << v[i]; } return ss.str(); } inline string operator * (string s, int k){ string ret; while(k){ if(k&1) ret += s; s += s; k >>= 1; } return ret; } } constexpr long long mod = 9_ten + 7; // nCk mod p, O(1) // precomputation O(size) class combination_mod{ const long long mod; const long long size; vector fact; //n! vector fact_inv; // (n!)^-1 void make_fact(){ fact[0] = 1; for(long long i=1; i divisors(long long N){ if(N==1) return {1LL}; vector ret; ret.push_back(1); ret.push_back(N); for(long long i=2; i*i<=N; i++){ if(N%i==0){ ret.push_back(i); if(i*i != N) ret.push_back(N/i); } } sort(ret.begin(), ret.end()); return ret; } int main(){ long long n,k; cin >> n,k; auto d = divisors(n); sort(d.begin(), d.end()); combination_mod c(mod, 2000000); long long ans = 0; vector> w; for(int cycle_size: d){ int cycles = n / cycle_size; if(cycle_size == 1){ w.emplace_back(cycle_size, 0); continue; } if(k % cycle_size != 0){ w.emplace_back(cycle_size, 0); continue; } int x = k / cycle_size; if(cycles < x){ w.emplace_back(cycle_size, 0); continue; } w.emplace_back(cycle_size, c(cycles, x)); } sort(w.rbegin(), w.rend()); // eprintln(join(w, "\n")); for(int i=0; i= mod) w[j].second -= mod; } } } println((mod - w.back().second) % mod); // eprintln(join(w, "\n")); return 0; }