MAXSUMSQ - Maximum Sum Sequences

Given an array A having n elements, let X be the maximum sum of any contiguous sequence in the array. How many contiguous sequences in A sum up to X?

Input

The first line contains T the number of test cases. There follow 2T lines, 2 for each test case. The first line contains the n, the number of elements in the array. The second line contains n space separated integers Ai.

Output

Output T lines, one for each test case. On each line, output two space separated integers; the maximum sequence sum, and the number of sequences which obtain this maximum sum.

Example

Input:
2
3
-1 -1 -1
4
2 0 -2 2 Output: -1 3
2 4

Constraints

1 <= T <= 35
1 <= n <= 100000
-1000 <= Ai <= 1000


Added by:Varun Jalan
Date:2010-01-24
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS OBJC PERL6 SQLITE VB.NET
Resource:own problem used for Codechef Snackdown Onsite

hide comments
2023-03-12 05:08:32
AC with map easily

Last edit: 2023-03-12 05:08:51
2020-06-02 14:52:14
did it with BIT
how to do it in O(N) though
2019-04-14 10:44:41
Some points:
1) use scanf and printf, I got TLE with cin, cout even with fastio.
2)if you are using map, use unordered_map instead.
2018-11-02 07:55:21
Can anyone have a look at my code for this problem and tell what is wrong??
<snip>

Last edit: 2022-06-28 22:07:39
2018-03-10 08:31:39
use kadane's algo along with count array
2017-04-06 20:11:26
Finally AC after 4 WA and 2 TLE.
2017-02-05 09:01:49 pranay
accepted using scanf and printf
got tle using cin and cout
2017-02-03 23:09:05 Dushyant Singh
map -> TLE
unordered_map -> AC
2016-11-02 02:27:25
Use long long for "the number of sequences which obtains this maximum sum".
The constraints of the problem allow this 'max_count' field to be > (n/2)^2, where n is 10^5
Thanks @Ankit Sultana!
2016-08-20 06:05:41
@reddragon the first element only, the first and the second, the last element only, the whole array
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