A8657. Funky Numbers

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)!

The first input line contains an integer $n$ ( $1<=n<=10^{9})$ .

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

In the first sample number .

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