geometry
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others) Total Submission(s): 59 Accepted Submission(s): 45
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≤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.