SUM OF SUB RECTANGLE AREAS
时间限制:C/C++/Rust/Pascal 2秒,其他语言4秒
空间限制:C/C++/Rust/Pascal 256 M,其他语言512 M
64bit IO Format: %lld

题目描述

The following code snippet calculates the sum of the areas of all the sub rectangular grid in a rectangular grid from (0,0) to Find an efficient way to compute that.
sum = 0
for r1 = 0 to N-1
    for c1 = 0 to N-1
        for r2 = r1+1 to N
            for c2 = r2+1 to N
                sum = sum + (r2-r1)*(c2-c1)
print(sum)

输入描述:

Input starts with T the number of test cases. Each test case consists of a single integer N.

输出描述:

For each test output the sum (as computed above). Please note that even though W and H will fit into 64 bit integer, the sum may not be.
示例1

输入

复制
5
1
2
3
4
1000

输出

复制
1
16
100
400
27944805889000000