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Maximise the Subsequence Sum.cpp
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Maximise the Subsequence Sum.cpp
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/*
Solution by Rahul Surana
***********************************************************
Chef has an array A containing N integers. The integers of the array can be positive, negative, or even zero.
Chef allows you to choose at most K elements of the array and multiply them by −1.
Find the maximum sum of a subsequence you can obtain if you choose the elements of the subsequence optimally.
Note: A sequence a is a subsequence of a sequence b if a can be obtained from b by deletion of several (possibly, zero or all) elements.
For example, [3,1] is a subsequence of [3,2,1] and [4,3,1], but not a subsequence of [1,3,3,7] and [3,10,4]. Note that empty sequence is also a subsequence.
Input Format:
The first line of the input contains a single integer T denoting the number of test cases. The description of T test cases follows.
The first line of each test case contains two space-separated integers N,K.
The second line of each test case contains N space-separated integers A1,A2,...,AN
Output Format:
For each test case, print a single line containing one integer - the maximum sum of a subsequence you can obtain.
***********************************************************
*/
#include <bits/stdc++.h>
#define ll long long
#define vl vector<ll>
#define vi vector<int>
#define pi pair<int,int>
#define pl pair<ll,ll>
#define all(a) a.begin(),a.end()
#define mem(a,x) memset(a,x,sizeof(a))
#define pb push_back
#define mp make_pair
#define F first
#define S second
#define FOR(i,a) for(int i = 0; i < a; i++)
#define trace(x) cerr<<#x<<" : "<<x<<endl;
#define trace2(x,y) cerr<<#x<<" : "<<x<<" | "<<#y<<" : "<<y<<endl;
#define trace3(x,y,z) cerr<<#x<<" : "<<x<<" | "<<#y<<" : "<<y<<" | "<<#z<<" : "<<z<<endl;
#define fast_io std::ios::sync_with_stdio(false),cin.tie(NULL),cout.tie(NULL)
using namespace std;
int ar[100001];
int main()
{
fast_io;
int t;
cin >> t;
while(t--) {
int n,k;
cin >> n >> k;
FOR(i,n) cin >> ar[i];
sort(ar,ar+n);
int ans = 0;
FOR(i,n) {
if(ar[i] < 0 && k > 0) { ans += (ar[i] * -1); k--; }
else if(ar[i] > 0){
ans+= ar[i];
}
}
cout << ans << "\n";
}
}