#define _USE_MATH_DEFINES #include "bits/stdc++.h" using namespace std; #define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i)) #define rep(i,j) FOR(i,0,j) #define each(x,y) for(auto &(x):(y)) #define mp make_pair #define MT make_tuple #define all(x) (x).begin(),(x).end() #define debug(x) cout<<#x<<": "<<(x)< >(b,vector(c,d)) #define vvv(a,b,c,d,e) vector > >(b,vv(a,c,d,e)) using ll = long long; using pii = pair; using vi = vector; using vll = vector; template class ModInt { public: ModInt() :value(0) {} ModInt(long long val) :value((int)(val<0 ? MOD + val%MOD : val%MOD)) { } ModInt& operator+=(ModInt that) { value = value + that.value; if (value >= MOD)value -= MOD; return *this; } ModInt& operator-=(ModInt that) { value -= that.value; if (value<0)value += MOD; return *this; } ModInt& operator*=(ModInt that) { value = (int)((long long)value * that.value % MOD); return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt pow(long long k) const { if (value == 0)return 0; ModInt n = *this, res = 1; while (k) { if (k & 1)res *= n; n *= n; k >>= 1; } return res; } ModInt inverse() const { long long a = value, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } return ModInt(u); } int toi() const { return value; } private: int value; }; typedef ModInt<1000000007> mint; ostream& operator<<(ostream& os, const mint& x) { os << x.toi(); return os; } int bitcnt(unsigned int x) { x = (x & 0x55555555) + (x >> 1 & 0x55555555); x = (x & 0x33333333) + (x >> 2 & 0x33333333); x = (x & 0x0f0f0f0f) + (x >> 4 & 0x0f0f0f0f); x = (x & 0x00ff00ff) + (x >> 8 & 0x00ff00ff); x = (x & 0x0000ffff) + (x >> 16 & 0x0000ffff); return (int)x; } template vector enumPrimeFactors(Val n) { vector res; for (int i = 2; (long long)i*i <= n; ++i) { int flag = 0; while (n%i == 0) { flag = 1; n /= i; } if (flag)res.push_back(i); } if (n != 1)res.push_back(n); return res; } int main() { ios::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(20); int N, M; cin >> N >> M; vi cnt(N + 1); mint ans = 0; mint A = 1; for (int i = 1; i <= N - 2; ++i)A *= i; for (int i = 1; i <= N; ++i) { if (i%M != 0)continue; int x = i / M; vi ps = enumPrimeFactors(x); int num = sz(ps); int paired = cnt[1]; cnt[1]++; FOR(S, 1, 1 << num) { int val = 1; rep(j, num)if (S >> j & 1)val *= ps[j]; if (bitcnt(S) & 1) { paired -= cnt[val]; } else { paired += cnt[val]; } cnt[val]++; } ans += A*paired * 2; } cout << ans << endl; }