geometry

Accepts: 324
Submissions: 622
Time Limit: 2000/1000 MS (Java/Others)
Memory Limit: 65536/65536 K (Java/Others)
Problem Description
There is a point $P$ at coordinate $(x,y)$. A line goes through the point, and intersects with the postive part of $X,Y$ axes at point $A,B$. Please calculate the minimum possible value of $|PA|*|PB|$.
Input
the first line contains a positive integer T,means the numbers of the test cases. the next T lines there are two positive integers X,Y,means the coordinates of P. $T=500$,$0< X,Y\leq 10000$.
Output
T lines,each line contains a number,means the answer to each test case.
Sample Input
1
2 1
Sample Output
4

in the sample $P(2,1)$,we make the line $y=-x+3$,which intersects the positive axis of $X,Y$ at (3,0),(0,3).$|PA|=\sqrt{2},|PB|=2\sqrt{2},|PA|*|PB|=4$,the answer is checked to be the best answer.