题目连接

题面:

#include<iostream>
#include<cstdio>
#include<cstring>
#include<algorithm>
#include<string>
#include<map>
#define ll long long
using namespace std;
ll p;
ll mypow(ll a,ll b)
{
    ll ans=1;
    while(b)
    {
        if(b&1) ans=ans*a%p;
        a=a*a%p;
        b>>=1;
    }
    return ans%p;
}

ll C(ll n,ll m)
{
    ll ans=1;
    for(int i=1;i<=m;i++)
    {
        ans=(ans*(n-m+i))%p;
        ans=(ans*mypow(i,p-2))%p;
    }
    return ans%p;
}

ll Lucas(ll n,ll m)
{
    if(m==0) return 1;
    return C(n%p,m%p)%p*Lucas(n/p,m/p)%p;
}

int main(void)
{

    int t;
    cin>>t;
    while(t--)
    {
        ll k,n;
        scanf("%lld%lld%lld",&n,&k,&p);
        printf("%lld\n",Lucas(n+k,k));
    }

    return 0;
}