HDU - 5605 geometry（水，数学题，推公式）

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题干：
There is a point PP at coordinate (x,y)(x,y).
A line goes through the point, and intersects with the postive part of X,YX,Yaxes at point A,BA,B.
Please calculate the minimum possible value of |PA|?|PB||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=500T=500,0< X,Y≤100000< 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

4in 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).$|PA|=\\sqrt2,|PB|=2\\sqrt2,|PA|*|PB|=4$,the answer is checked to be the best answer.

解题报告：

AC代码：