CF1389A.LCM Problem

普及/提高-

通过率:0%

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题目描述

Let LCM(x,y)LCM(x, y) be the minimum positive integer that is divisible by both xx and yy . For example, LCM(13,37)=481LCM(13, 37) = 481 , LCM(9,6)=18LCM(9, 6) = 18 .

You are given two integers ll and rr . Find two integers xx and yy such that lx<yrl \le x < y \le r and lLCM(x,y)rl \le LCM(x, y) \le r .

输入格式

The first line contains one integer tt ( 1t100001 \le t \le 10000 ) — the number of test cases.

Each test case is represented by one line containing two integers ll and rr ( 1l<r1091 \le l < r \le 10^9 ).

输出格式

For each test case, print two integers:

  • if it is impossible to find integers xx and yy meeting the constraints in the statement, print two integers equal to 1-1 ;
  • otherwise, print the values of xx and yy (if there are multiple valid answers, you may print any of them).

输入输出样例

  • 输入#1

    4
    1 1337
    13 69
    2 4
    88 89

    输出#1

    6 7
    14 21
    2 4
    -1 -1
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