Submission #1159066

#	TimeUTC-0	Username	Problem	Language	Result	Execution time	Memory
1159066	2025-02-28 06:39:37	egregious	Safety (NOI18_safety)	C++20	3 / 100	137 ms	12604 KiB

safety

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// https://oj.uz/problem/view/NOI18_safety
#include <bits/stdc++.h>
using ll = long long;
using namespace std;
int main() {
    int n; ll k, dl = 0, dr = 0, mn = 0;
    cin >> n >> k;
    // {l} + dl and {r} + dr store points at which slope changes
    multiset<ll> l, r;
    for (int i = 0; i < n; i++) {
        ll s; cin >> s;
        if (l.size() && s < *l.rbegin() + dl) {
            l.insert({s - dl, s - dl}); // insert value twice
            r.insert(*l.rbegin() + dl - dr);
            int x = *++l.rbegin();
            mn += *l.rbegin() - x + abs(x + dl - s);
            l.erase(*l.rbegin());
        }
        else if (r.size() && s > *r.begin() + dr) {
            r.insert({s - dr, s - dr}); // insert value twice
            l.insert(*r.begin() + dr - dl);
            int x = *++r.begin();
            mn += x - *r.begin() + abs(x + dr - s);
            r.erase(*r.begin());
        }
        else l.insert(s - dl), r.insert(s - dr);
        dl -= k, dr += k;
    }
    cout << mn << endl;
 
 
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