#include using namespace std; #define rep(i,n) for(ll i=0;i=0;i--) #define perl(i,r,l) for(ll i=r-1;i>=l;i--) #define fi first #define se second #define pb push_back #define ins insert #define pqueue(x) priority_queue,greater> #define all(x) (x).begin(),(x).end() #define CST(x) cout<> #define rev(x) reverse(x); using ll=long long; using vl=vector; using vvl=vector>; using pl=pair; using vpl=vector; using vvpl=vector; const ll MOD=1000000007; const ll MOD9=998244353; const int inf=1e9+10; const ll INF=4e17; const ll dy[9]={0,1,-1,0,1,1,-1,-1,0}; const ll dx[9]={1,0,0,-1,1,-1,1,-1,0}; template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } const int mod = 1000000007; const int max_n = 200005; struct mint { ll x; // typedef long long ll; mint(ll x=0):x((x%mod+mod)%mod){} mint operator-() const { return mint(-x);} 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) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(ll t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } bool operator==(const mint &p) const { return x == p.x; } bool operator!=(const mint &p) const { return x != p.x; } // for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) const { return mint(*this) /= a;} }; istream& operator>>(istream& is, mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} using vm=vector; using vvm=vector; struct combination { vector fact, ifact; combination(int n):fact(n+1),ifact(n+1) { assert(n < mod); fact[0] = 1; for (int i = 1; i <= n; ++i) fact[i] = fact[i-1]*i; ifact[n] = fact[n].inv(); for (int i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i; } mint operator()(int n, int k) { if (k < 0 || k > n) return 0; return fact[n]*ifact[k]*ifact[n-k]; } }comb(max_n); class osak{ vector res; public: vector prime; osak(long long n){//sieve(n),O(NloglogN); res=vector(n); iota(res.begin(), res.end(), 0); for (int i = 2; i*i < n; ++i) { if (res[i] < i) continue; for (int j = i*i; j < n; j += i) if (res[j] == j) res[j] = i; } for(int i = 2; i < n; ++i){ if(res[i]==i)prime.emplace_back(i); } } map factor(int n) { map factor; while (n > 1) { factor[res[n]]++; n /= res[n]; } return factor; } vector divisor(int N){//O(div.size()) map facs=factor(N); vector ret={1}; for(auto p:facs){ ll range=ret.size(); ll now=1; for(int i=0;i> n >> k; if(k>n){ cout << 0 << endl;return 0; } osak os(100010); vm dp(100010); rep(i,n)dp[i+1]=1; for(auto p:os.prime){ for(int k=100010/p;k>0;k--){ dp[k]+=dp[k*p]; } } rep(i,n+1)dp[i]*=dp[i]; for(auto p:os.prime){ for(int k=1;k*p<100010;k++){ dp[k]-=dp[k*p]; } } cout << (dp[k]-1)*comb.fact[n-2] << endl; }