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 , 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 .
In the second sample number $ 512 $ can not be represented as a sum of two triangular numbers.