Triangular Sums

描述

The n^th Triangular number, T(n) = 1 + … + n, is the sum of the first n integers. It is the number of points in a triangular array with n points on side. For example T(4):

X
X X
X X X
X X X X

Write a program to compute the weighted sum of triangular numbers:

W(n) = SUM[k = 1…n; k * T(k + 1)]

 

输入

The first line of input contains a single integer N, (1 ≤ N ≤ 1000) which is the number of datasets that follow.

Each dataset consists of a single line of input containing a single integer n, (1 ≤ n ≤300), which is the number of points on a side of the triangle.

输出

For each dataset, output on a single line the dataset number (1 through N), a blank, the value of n for the dataset, a blank, and the weighted sum ,W(n), of triangular numbers for n.

样例输入

4
3
4
5
10

样例输出

1 3 45
2 4 105
3 5 210
4 10 2145

 import java.text.NumberFormat;
 import java.util.Arrays;
 import java.util.Scanner;

 public class Main {
     public static void main(String[] args) {
         Scanner scanner=new Scanner(System.in);
         int T;
         int n;
         int k;
         int i;
         int temp;
         int sum;
         int time=1;

         T=scanner.nextInt();
         while(true){
             if(T==0)
                 break;
             T--;

             n=scanner.nextInt();

             sum=0;
             for(k=1;k<=n;k++){
                 temp=0;
                 for(i=1;i<=k+1;i++)
                     temp+=i;

                 sum+=k*temp;
             }
             System.out.println(time+" "+n+" "+sum);
             time++;
         }
     }
 }