Maximum AND
Approved
Basic programming
Bit manipulation
Easy
Open
68.0% success
17,928 attempts
1s time
256MB memory
1024KB max code

Given two numbers A and B. Find the value of pair (P,Q) such that A <= P < Q <= B value of P AND Q is maximum where AND is a binary operator. Refer to this link for more information about AND operator : http://en.wikipedia.org/wiki/Bitwise_operation#AND

Input:
First line of input contains number of test cases T. Each test case contains two numbers A and B.

Output: For each test case print the value of maximum AND.

*Constraints: *
1<=T<=1000
1<= A < B <=1018

Examples
Input
2
2 3
4 8


Output
2
6

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