CF47A Triangular numbers

Description

A triangular number is the number of dots in an equilateral triangle uniformly filled with dots. For example, three dots can be arranged in a triangle; thus three is a triangular number. The $ n $ -th triangular number is the number of dots in a triangle with $ n $ dots on a side. ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF47A/7344b4fd5acb7c973775cffc0c5a51a81c6ee4d9.png). You can learn more about these numbers from Wikipedia (http://en.wikipedia.org/wiki/Triangular\_number). Your task is to find out if a given integer is a triangular number.

Input Format

The first line contains the single number $ n $ ( $ 1

Output Format

If the given integer is a triangular number output YES, otherwise output NO.