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#F1856. Bits

    ID: 1862 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 5 上传者: 标签>位运算构造数学算法思想进阶难度共享题库Codeforces英文题面题目来源题面语言

Bits

题目描述

A. Bits
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

Let's denote as the number of bits set ('1' bits) in the binary representation of the non-negative integer x.

You are given multiple queries consisting of pairs of integers l and r. For each query, find the x, such that lxr, and is maximum possible. If there are multiple such numbers find the smallest of them.

Input

The first line contains integer n− the number of queries (1≤n≤10000).

Each of the following n lines contain two integers li,ri− the arguments for the corresponding query (0≤liri≤1018).

Output

For each query print the answer in a separate line.

Examples
Input
3
1 2
2 4
1 10
Output
1
3
7
Note

The binary representations of numbers from 1 to 10 are listed below:

110=12

210=102

310=112

410=1002

510=1012

610=1102

710=1112

810=10002

910=10012

1010=10102


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 1427 题。保留原作者与原赛事署名。