nick-calculate.cpp

#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define ull unsigned long long
#define ff first
#define ss second
#define mp make_pair
#define pb push_back

const int N = 2e5 + 11;
int dp[100][100];

int coeff(int n, int k) {
	if (n == k || k == 0)
		return 1;
	else if (dp[n][k])
		return dp[n][k];
	else
		dp[n][k] = coeff(n - 1, k) + coeff(n - 1, k - 1);
	return dp[n][k];
}

void solve() {
	int n, k;
	cin >> n >> k;
	k = min(k, n - k);
	int res = 1;
	cout << coeff(n, min(k, n - k)) << endl;
}

int main() {
	freopen("input.txt", "r", stdin);
	ios_base::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	int no_of_test_cases = 1;
	cin >> no_of_test_cases;
	while (no_of_test_cases--)solve();
	return 0;
}