【題目敘述】https://vjudge.net/problem/UVA-991
【解題想法】卡塔蘭數
#include <iostream>
using namespace std;
const int maxn = 25;
int C[maxn][maxn];
int main() {
for (int i=0; i<maxn; i++){
C[i][0] = 1;
C[i][i] = 1;
}
for (int i=1; i<maxn; i++){
for (int j=1; j<i; j++){
C[i][j] = C[i-1][j] + C[i-1][j-1];
}
}
int N;
bool first = true;
while (cin >> N){
if (N == 0) break;
if (first) first = false;
else cout << "\n";
cout << C[2*N][N] / (N+1) << "\n";
}
return 0;
}