(计算几何8.1.3.1)UVA 10213 How Many Pieces of Land?(使用欧拉公式的应用顶点数+面数-棱数 = 2)

import java.math.BigInteger;
import java.util.Scanner;

public class UVA_10213 {

public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);

int t = scanner.nextInt();
while(t > 0){
int n = scanner.nextInt();

BigInteger ans = new BigInteger(n +"").pow(4).subtract(new BigInteger(n +"").pow(3).multiply(new BigInteger(6+""))).add(new BigInteger(23+"").multiply(new BigInteger(n +"").pow(2) ).subtract(new BigInteger(18+"").multiply(new BigInteger(n +"")))).divide(new BigInteger(24+"")).add(new BigInteger(1+""));

System.out.println(ans);

t--;
}
}
}