Submission #1094790

#TimeUsernameProblemLanguageResultExecution timeMemory
1094790DaciejMaciejPalembang Bridges (APIO15_bridge)C++17
100 / 100
65 ms5852 KiB
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> PII;
typedef vector<pair<int, int>> VPII;
typedef vector<long long> VL;

#define PB push_back
#define ALL(x) x.begin(), x.end()
#define SPACE ' '
#define LINE '\n'

priority_queue<int> lq;
priority_queue<int, vector<int>, greater<int>> rq;
ll lsum = 0, rsum = 0;

void insert(int x) {
    if (lq.empty() || x <= lq.top()) {
        lq.push(x);
        lsum += x;
    } else {
        rq.push(x);
        rsum += x;
    }

    if (lq.size() > rq.size() + 1) {
        int tmp = lq.top();
        lq.pop();
        lsum -= tmp;
        rq.push(tmp);
        rsum += tmp;
    } else if (rq.size() > lq.size()) {
        int tmp = rq.top();
        rq.pop();
        rsum -= tmp;
        lq.push(tmp);
        lsum += tmp;
    }
}

void solve() {
    int n, k;
    cin >> k >> n;

    ll same = 0;
    VPII vec = {{0, 0}};  // Start with dummy element

    for (int i = 0; i < n; ++i) {
        char a, b;
        int x, y;
        cin >> a >> x >> b >> y;
        if (a == b) {
            same += abs(x - y);
        } else {
            vec.PB({x, y});
        }
    }

    sort(ALL(vec), [](const PII &a, const PII &b) {
        return a.first + a.second < b.first + b.second;
    });

    n = vec.size() - 1;
    
    VL pref(n + 1, 0);

    for (int i = 1; i <= n; ++i) {
        auto [x, y] = vec[i];
        insert(x);
        insert(y);
        pref[i] = rsum - lsum;
    }

    ll ans = pref[n];

    if (k == 2) {
        
        while (!lq.empty()) lq.pop();
        while (!rq.empty()) rq.pop();
        lsum = rsum = 0;

        for (int i = n; i >= 1; --i) {
            auto [x, y] = vec[i];
            insert(x);
            insert(y);
            ans = min(ans, rsum - lsum + pref[i - 1]);
        }
    }

    cout << same + ans + n << LINE;
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int t = 1;
    // cin >> t;

    while (t--)
        solve();
}
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