/** * @FileName a.cpp * @Author kanpurin * @Created 2020.10.06 15:32:52 **/ #include "bits/stdc++.h" using namespace std; typedef long long ll; template< int MOD > struct mint { public: long long x; mint(long long x = 0) :x((x%MOD+MOD)%MOD) {} mint(std::string &s) { long long z = 0; for (int i = 0; i < s.size(); i++) { z *= 10; z += s[i] - '0'; z %= MOD; } this->x = z; } mint& operator+=(const mint &a) { if ((x += a.x) >= MOD) x -= MOD; return *this; } mint& operator-=(const mint &a) { if ((x += MOD - a.x) >= MOD) x -= MOD; return *this; } mint& operator*=(const mint &a) { (x *= a.x) %= MOD; return *this; } mint& operator/=(const mint &a) { long long n = MOD - 2; mint u = 1, b = a; while (n > 0) { if (n & 1) { u *= b; } b *= b; n >>= 1; } return *this *= u; } mint operator+(const mint &a) const { mint res(*this); return res += a; } mint operator-() const {return mint() -= *this; } mint operator-(const mint &a) const { mint res(*this); return res -= a; } mint operator*(const mint &a) const { mint res(*this); return res *= a; } mint operator/(const mint &a) const { mint res(*this); return res /= a; } friend std::ostream& operator<<(std::ostream &os, const mint &n) { return os << n.x; } friend std::istream &operator>>(std::istream &is, mint &n) { long long x; is >> x; n = mint(x); return is; } bool operator==(const mint &a) const { return this->x == a.x; } mint pow(long long k) const { mint ret = 1; mint p = this->x; while (k > 0) { if (k & 1) { ret *= p; } p *= p; k >>= 1; } return ret; } }; constexpr int MOD = 1e9 + 7; template < class T > void divisor_transform(std::vector< T >& a, bool zeta, bool subset) { int n = a.size(); std::vector< bool > sieve(n, false); for (int p = 2; p < n; ++p) { if (sieve[p]) continue; if (subset) { if (zeta) for (int k=0; k*p=0; k--) sieve[k*p]=true, a[k*p]-=a[k]; } else { if (zeta) for (int k=(n-1)/p; k>=0; k--) sieve[k*p]=true, a[k]+=a[k*p]; else for (int k=0; k*p> n >> m; if (n < m) { cout << 0 << endl; } else { vector> a(n+1,1); divisor_transform(a,true,false); for (int i = 0; i < n+1; i++) { a[i] *= a[i]; } divisor_transform(a,false,false); mint ans = a[m]-1; for (int i = 2; i <= n-2; i++) { ans *= i; } cout << ans << endl; } return 0; }