Stick Lengths
Key Idea: Sort the sticks and align every stick to the median, which minimizes total absolute distance.
Solution
#include <bits/stdc++.h>
using namespace std;
//author: von_Braun
#define ll long long
#define lli long long int
#define pb push_back
#define rep(var, start, num) for(ulli var = start; var <start + num; var++)
#define all(x) x.begin(), x.end()
#define ulli unsigned long long int
#define ull unsigned long long
bool sortbysec(const pair<ll,ll> &a,const pair<ll,ll> &b) { return (a.second < b.second); }
long long compcost(vector<int> &a, int x) {
ll cost=0;
int n = a.size();
rep(i,0,n) {
cost+=abs(a[i]-x);
}
return cost;
}
void solve() {
int n;
cin>>n;
vector<int> a(n);
rep(i,0,n) {cin>>a[i];}
sort(all(a));
if (n%2) {
cout<<compcost(a, a[n/2])<<endl;
} else {
cout<<min(compcost(a, a[n/2]), compcost(a, a[n/2-1]))<<endl;
}
}
int main() {
//add quotes incase input output file
//freopen(input.txt,r,stdin);
//freopen(output.txt,w,stdout);
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
int tc = 1;
// cin >> tc;
for (int t = 1; t <= tc; t++) {
solve();
}
}