#include #include #include #include #include #include using namespace std; #define int long long #define endl "\n" const long long INF = (long long)1e18; const long long MOD = 1'000'000'007; string yn(bool f){return f?"Yes":"No";} string YN(bool f){return f?"YES":"NO";} #define MAX_VAL (int)(1e6 + 100) long long fac[MAX_VAL], mmi[MAX_VAL]; void factorial_mod(){ fac[0]=fac[1]=1; for(long long i = 2; i < MAX_VAL; fac[i]%=MOD,i++) fac[i] = fac[i-1]*(i%MOD); } long long power_mod(long long x, long long n){ long long ans = 1; for(;n;n>>=1,x*=x,ans%=MOD,x%=MOD) if(n&1)ans*=x; return ans%MOD; } void exgcd(int a, int b, int &x, int &y){ if(b == 0){ x = 1; y = 0; return ; } exgcd(b,a%b,y,x); y -= a/b * x; } void modular_multiplicatibe_inverse(){ int x, y; exgcd(fac[MAX_VAL-1],MOD,x,y); mmi[MAX_VAL-1] = x; for(long long i = MAX_VAL-2; i >= 0; mmi[i]%=MOD,i--) mmi[i] = mmi[i+1]*((i+1)%MOD); } long long combination(long long n, long long r){ return n < r ? 0 :fac[n]*(mmi[r]*mmi[n-r]%MOD)%MOD; } signed main(){ cin.tie(0); ios::sync_with_stdio(false); cout< hoge; cin>>N>>K; factorial_mod(); modular_multiplicatibe_inverse(); for(int i = 2; i <= N; i++){ if(pn[i] == false){ for(int j = i * i; j <= N; j++){ pn[j] = true; } hoge.push_back(i); } } int x = hoge.size(); for(int i = 1; i < 1<>k)&1){ con++; pro *= hoge[k]; } } if(con%2){ if(K%pro == 0 && N != pro) ans += combination(N/pro, K/pro)%MOD; ans %= MOD; } else { if(K%pro == 0 && N != pro) ans -= combination(N/pro, K/pro)%MOD; ans += MOD; ans %= MOD; } } cout<