파스칼의 삼각형

https://www.acmicpc.net/problem/11051

#include <iostream>
#include <vector>
#define MAXX 1001
using namespace std;
 
int pascal[MAXX][MAXX];
 
int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
 
    int n, k;
    cin >> n >> k;
 
    for (int i = 0; i <= n; i++) {
        for (int j = 0; j <= i; j++) {
            if (i == 0 || j == 0) {
                pascal[i][j] = 1;
            }
            else {
                pascal[i][j] += pascal[i - 1][j - 1]%10007 + pascal[i - 1][j]%10007;
            }
        }
    }
 
 
    cout << pascal[n][k]%10007 << '\n';
    return 0;
}