CF1468E.Four Segments

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题目描述

Monocarp wants to draw four line segments on a sheet of paper. He wants the ii -th segment to have its length equal to aia_i ( 1i41 \le i \le 4 ). These segments can intersect with each other, and each segment should be either horizontal or vertical.

Monocarp wants to draw the segments in such a way that they enclose a rectangular space, and the area of that rectangular space should be maximum possible.

For example, if Monocarp wants to draw four segments with lengths 11 , 22 , 33 and 44 , he can do it the following way:

Here, Monocarp has drawn segments ABAB (with length 11 ), CDCD (with length 22 ), BCBC (with length 33 ) and EFEF (with length 44 ). He got a rectangle ABCFABCF with area equal to 33 that is enclosed by the segments.Calculate the maximum area of a rectangle Monocarp can enclose with four segments.

输入格式

The first line contains one integer tt ( 1t31041 \le t \le 3 \cdot 10^4 ) — the number of test cases.

Each test case consists of a single line containing four integers a1a_1 , a2a_2 , a3a_3 , a4a_4 ( 1ai1041 \le a_i \le 10^4 ) — the lengths of the segments Monocarp wants to draw.

输出格式

For each test case, print one integer — the maximum area of a rectangle Monocarp can enclose with four segments (it can be shown that the answer is always an integer).

输入输出样例

  • 输入#1

    4
    1 2 3 4
    5 5 5 5
    3 1 4 1
    100 20 20 100

    输出#1

    3
    25
    3
    2000

说明/提示

The first test case of the example is described in the statement.

For the second test case, Monocarp can draw the segments ABAB , BCBC , CDCD and DADA as follows:

Here, Monocarp has drawn segments ABAB (with length 55 ), BCBC (with length 55 ), CDCD (with length 55 ) and DADA (with length 55 ). He got a rectangle ABCDABCD with area equal to 2525 that is enclosed by the segments.

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