Given an integer, check whether it is Bleak or not.
A number ‘n’ is called Bleak if it cannot be represented as sum of a positive number x and set bit count in x, i.e., x + countSetBits(x) is not equal to n for any non-negative number x.
3 is not Bleak as it can be represented as 2 + countSetBits(2). 4 is t Bleak as it cannot be represented as sum of a number x and countSetBits(x) for any number x.
The first line of input contains an integer T denoting the number of test cases. Then T test cases follow. Each test case consists of a single line. The first line of each test case contains a single integer N to be checked for Bleak.
Print "1" or "0" (without quotes) depending on whether the number is Bleak or not.
1 <= T <= 1000
1 <= N <= 10000