You are given the binary representation of a number. You must consider the highest number of set bits in the binary representation to complete your task. For example, \(23\) is represented as \(10111\) in binary and it contains four set bits (1-bits). You are also given a number \(N\) and your task is to determine the number that is less than or equal to \(N\) and contains the maximum number of set bits in its binary representation. 

In other words, print a number \(K\) that is less than or equal to \(N\) such that the number of set bits in the binary representation of \(K\) must be maximum

Input format

• First line: An integer \(t\) denoting the number of test cases
• For each test case:
  • First line: An integer \(N\)

Output format

For each test case, print the answer on a new line denoting a number \(K\) that is less than or equal to \(N\) such that the number of set bits in the binary representation of \(K\) must be maximum.  

Constraints