const int N =1e5+4;
int fac[N] ,fm[N];
inline int kpow(int a, int b) {
int res = 1;
for (; b; b >>= 1) {
if (b & 1)
res = res * a % mod;
a = a * a % mod;
}
return res;
}
void getInv() {
fac[0]= fm[0] = 1;
for (int i = 1; i <= 10000; ++i) {
fac[i] = fac[i - 1] * i % mod;
fm[i] = kpow(fac[i], mod - 2);
}
}
inline int C(int n, int m) {
if (n < 0 || m < 0 || n < m) return 0;
return fac[n] * fm[m] % mod * fm[n - m] % mod;
}
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