NITT8 - Dating Rishi

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Dating Rishi

Its been Monday and Rishi Dudeis planning to select a girl to date for this week. So all N girls are standing in a line from 1 to N so that Rishi will select one of them. The girls are standing in a straight line but randomly. They know they cannot predict what Rishi The Great likes, He may like hot, smart, tall, short, witty, white, black or anything. But wait, Rishi, the Coolest Dude plans to date two girls this week !!! How lucky they are ????. But he wants to select two girls whose friendship quotient is maximum so that they wont fight too much over Rishi during the date. He is shy too !. Friendship quotient is defined as the product of absolute difference between the position of the two girls and the minimum height of the two girls.

Can you help Rishi to find the maximum friendship quotient ?

Input Specification

The first line of input file contains T which denotes number of testcases.

2*T lines follows.

First line of each test case contains an integer N.

Second line of each test case contains N space separated integers denoting the height of each girl.

Output Specification

The output must contain T lines each line corresponding to a testcase.

Constraints

T <= 20

N <= 100000

Height[i] <= 10^9

Sample Input:

```2
4
3 2 1 3
5
4 2 3 1 4```

Sample Output:

```9
16```

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 < Previous 1 2 3 4 Next > beginner: 2019-02-10 14:02:29 AC after realizing height can be 0 beginner: 2019-02-10 13:56:57 Can someone point out some more test cases. Getting WA nadstratosfer: 2018-01-01 11:51:05 Malformed input (linebreaks between array elements). Use C-style "get next integer" reading in Python/Java to avoid NZEC. deerishi: 2016-10-16 07:21:22 From a guy who goes by the name Rishi , its an awesome problem! lol!! ashish22_dwd: 2015-07-08 19:37:31 nice problem.. solved in O(n) time. AC in 0.02s Last edit: 2016-10-18 22:18:25 Akshat Mathur: 2015-06-17 14:43:59 Really nice problem.....learnt a lot !! sobriquet: 2014-09-20 12:59:30 Awesome problem. Mind long long instead int. ||N0VICE||: 2014-08-23 17:16:33 150th AC :) AC at first attempt Last edit: 2014-08-23 17:22:45 AKASH GOEL: 2014-08-23 14:24:32 gud one AAKASH TYAGI: 2014-08-09 22:08:21 a very good problem keep thinking o(nlogn) solution will definitely strike

 Added by: jack(chakradarraju) Date: 2012-09-30 Time limit: 1s-2s Source limit: 50000B Memory limit: 1536MB Cluster: Cube (Intel G860) Languages: All except: ASM64 Resource: Radhakrishnan