CF192A Funky Numbers

Description

As you very well know, this year's funkiest numbers are so called triangular numbers (that is, integers that are representable as ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF192A/b7835ec12be1f62e2540332b68d58fb7ebe6c923.png), where $ k $ is some positive integer), and the coolest numbers are those that are representable as a sum of two triangular numbers. A well-known hipster Andrew adores everything funky and cool but unfortunately, he isn't good at maths. Given number $ n $ , help him define whether this number can be represented by a sum of two triangular numbers (not necessarily different)!

Input Format

The first input line contains an integer $ n $ ( $ 1

Output Format

Print "YES" (without the quotes), if $ n $ can be represented as a sum of two triangular numbers, otherwise print "NO" (without the quotes).

Explanation/Hint

In the first sample number ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF192A/4cb9109ae81f8a893fe062b72141c5fdcad6da49.png). In the second sample number $ 512 $ can not be represented as a sum of two triangular numbers.