## MKEQUAL - Make them equal !

You have an array containing N elements. At any move, you choose two indices i and j ( 0 <= i, j < N and i != j ) and increment value at one index and decrement value at other index. You can make this move any number of times. What is the maximum number of elements which can have the same value (after any number of moves) ?

### Input

First line consists of T, the number of test cases. (1 <= T <= 100)

T sets follow. Each set contains N, the number of elements in the array, in the first line. (1 <= N <= 100000)

Next line of each set consists of N space separated integers (0 <= value <= 100000)

### Output

Output T lines each containing the required answer.

### Example

```Input:
1
4
1 2 3 4

Output:
3```

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 < Previous 1 2 Next > sinersnvrsleep: 2018-04-05 15:35:05 no need of binary search just simple adhoc ameyanator: 2018-03-27 15:37:06 At first I thought we'd have to use some pre defined property but then nah just read the question carefully nikhil2504: 2017-07-30 15:59:30 Only Pen and Paper can help you ! ankit1cool: 2017-06-06 08:49:00 Good Implementation of binary search be1048716: 2017-05-19 20:17:53 No getting the question. Can anybody plz explain me the output? Last edit: 2017-05-19 20:18:24 ashishranjan28: 2017-05-18 07:02:10 very easy thangnv: 2017-03-31 17:48:05 Accept in 1 go AlphaDecay: 2015-06-08 20:33:39 Nice Question ! :D ABHISHEK004: 2013-12-14 20:49:06 problem setter should specify the max size of array correctly...with fixed size of 10000 had 2 WA's..size can be more than that EDIT : Thanks for pointing out. Constraints modified. Last edit: 2013-12-14 20:49:39 Rishul Aggarwal: 2013-12-14 20:49:06 Seems that the test data has some flaw.. two similar solutions were judged differently and two different solutions were accepted

 Added by: Pandian Date: 2013-10-15 Time limit: 0.5s-1s Source limit: 50000B Memory limit: 1536MB Cluster: Cube (Intel G860) Languages: All except: ASM64 Resource: Own