Cheerleaders UVA

#include <iostream>
#include <cstdio>
#include <sstream>
#include <cstring>
#include <map>
#include <set>
#include <vector>
#include <stack>
#include <queue>
#include <algorithm>
#include <cmath>
#define MOD 1000007
#define LL long long
#define ULL unsigned long long
#define Pair pair<int, int>
#define mem(a, b) memset(a, b, sizeof(a))
#define _  ios_base::sync_with_stdio(0),cin.tie(0)
//freopen("1.txt", "r", stdin);
using namespace std;
const int maxn = 10010, INF = 0x7fffffff;
int C[510][510];

int main()
{
    mem(C, 0);
    C[0][0] = 1;
    for(int i=0; i<=500; i++)
    {
        C[i][0] = C[i][i] = 1;
        for(int j=1; j<i; j++)
            C[i][j] = ( C[i-1][j-1] + C[i-1][j] ) % MOD;
    }
    int T, kase = 0;
    int n, m, k;
    cin>> T;
    while(T--)
    {
        cin>> n >> m >> k;
        int sum = 0;
        for(int i=0; i< 16; i++)
        {
            int r = n,c = m, b = 0;
            if(i & 1) r--, b++;
            if(i & 2) r--, b++;
            if(i & 4) c--, b++;
            if(i & 8) c--, b++;
            if(b & 1) sum = (sum  + MOD - C[r*c][k]) % MOD;
            else sum = (sum + C[r*c][k]) % MOD;

        }
        printf("Case %d: %d
",++kase, sum);

    }

    return 0;
}