Maximum Sum
Tag(s):

## Algorithms, Easy, Linear search, Searching algorithm

Problem
Editorial
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You are given an array of integers $A$, you need to find the maximum sum that can be obtained by picking some non-empty subset of the array. If there are many such non-empty subsets, choose the one with the maximum number of elements. Print the maximum sum and the number of elements in the chosen subset.

Input:

The first line contains an integer $N$, denoting the number of elements of the array. Next line contains $N$ space-separated integers, denoting the elements of the array.

Output:

Print $2$ space-separated integers, the maximum sum that can be obtained by choosing some subset and the maximum number of elements among all such subsets which have the same maximum sum.

Constraints:

$1 \le N \le 10^5$

$-10^9 \le A_i \le 10^9$

SAMPLE INPUT
5
1 2 -4 -2 3
SAMPLE OUTPUT
6 3
Explanation

The chosen subset is {1, 2, 3}.

Time Limit: 1.0 sec(s) for each input file.
Memory Limit: 256 MB
Source Limit: 1024 KB
Marking Scheme: Marks are awarded when all the testcases pass.
Allowed Languages: Bash, C, C++, C++14, Clojure, C#, D, Erlang, F#, Go, Groovy, Haskell, Java, Java 8, JavaScript(Rhino), JavaScript(Node.js), Julia, Kotlin, Lisp, Lisp (SBCL), Lua, Objective-C, OCaml, Octave, Pascal, Perl, PHP, Python, Python 3, R(RScript), Racket, Ruby, Rust, Scala, Swift, Swift-4.1, TypeScript, Visual Basic

## CODE EDITOR

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## This Problem was Asked in Challenge Name

July Easy '18

OTHER PROBLEMS OF THIS CHALLENGE
• Data Structures > Arrays
• Math > Combinatorics
• Algorithms > Graphs
• Algorithms > Dynamic Programming