35097번 - 2025 다국어

문제

In Japan, the multiplication table below is learned in elementary schools.

Such a table with 9ドル \times 9$ items, called kuku in Japanese, is not necessarily a world standard. In some cultures, 12ドル \times 12$ or 20ドル \times 20$ tables are learned.

Interestingly, the total of all the 9ドル \times 9$ items in the kuku table is 2025ドル,ドル which happens to be this year. Are there any other interesting cases like this?

Your task is to compute, for a given integer $n,ドル the sum of all the items in an $n \times n$ multiplication table. More specifically, find $$\displaystyle\sum_{a=1}^n \sum_{b=1}^n ab\text{.}$$

입력

The input consists of at most 100ドル$ test cases. Each test case is a line containing one integer $n$ (1ドル ≤ n ≤ 100$).

The end of the input is indicated by a line consisting only of a zero.

출력

For each test case, output the value of $$\displaystyle\sum_{a=1}^n \sum_{b=1}^n ab$$ in a line.

제한

노트