You need to find if a number can be expressed as sum of two perfect powers. That is, given x find if there exists non negative integers a, b, m, n such that a^m + bⁿ = x.

Input
First line of the input contains number of test cases T. It is followed by T lines, each line contains a sinle number x.

Output
For each test case, print "Yes" (without quotes) if the number can be expressed as sum of two perfect powers. Otherwise print "No" (without quotes).

Constraints
1 <= T <= 1000
1 <= x <= 1000000
m > 1, n > 1