Submission #1162780

#TimeUsernameProblemLanguageResultExecution timeMemory
1162780zyadhanyPalembang Bridges (APIO15_bridge)C++20
100 / 100
49 ms9912 KiB
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
#include <unordered_map>
#include <unordered_set>

#define ll long long
#define ld long double
#define pl pair<ll, ll>
#define vi vector<ll>
#define vii vector<vi>
#define vc vector<char>
#define vcc vector<vc>
#define vp vector<pl>
#define mi map<ll,ll>
#define mc map<char,int>
#define sortx(X) sort(X.begin(),X.end());
#define all(X) X.begin(),X.end()
#define allr(X) X.rbegin(),X.rend()
#define ln '\n'
#define YES {cout << "YES\n"; return;}
#define NO {cout << "NO\n"; return;}
#define MUN {cout << "-1\n"; return;}

const int MODE = 1e9 + 7;

using namespace std;


vector<ll> getMedian(vector<pair<ll, pl>> &X)
{
    priority_queue<ll> L;
    priority_queue<ll, vector<ll>, greater<ll>> R;
    ll l = 0, r = 0;
    vector<ll> res;

    for (auto [mid, p] : X)
    {
        vi NUM = {p.first, p.second};
        for (auto x : NUM) {

            if (!L.empty() && x > L.top()) {
                R.push(x);
                r+=x;
            }
            else {
                L.push(x);
                l += x;
            }
        
            while (L.size() > R.size() + 1)
            {
                l -= L.top(); r += L.top();
                R.push(L.top());
                L.pop();
            }

            while (R.size() > L.size())
            {
                r -= R.top(); l += R.top();
                L.push(R.top());
                R.pop();
            }
        }
        
        ll med = L.top();
        ll re = med * L.size() - l;
        re += r - med * R.size();
        res.push_back(re);
    }
    
    return (res);
}


void solve(int tc) {
    ll n, k;

    cin >> k >> n;

    ll sol = 0;
    vp X;
    for (int i = 0; i < n; i++)
    {
        char c1, c2; ll a, b;
        cin >> c1 >> a >> c2 >> b;
        if (a>b) swap(a, b);
        if (c1 == c2) sol += abs(a - b);
        else X.push_back({a, b});
    }

    n = X.size();
    vector<pair<ll, pl>> Y;

    for (int i = 0; i < n; i++)
        Y.push_back({X[i].first+X[i].second, X[i]});
    sortx(Y);
    
    vi L = getMedian(Y);
    ll mn = INT64_MAX;
    
    if (L.empty()) mn = 0;
    else {

        if (k == 1) mn = L.back();
        else {
            reverse(all(Y));
            vi R = getMedian(Y);
            reverse(all(R));
            for (int i = 0; i < R.size()-1; i++)
            mn = min(mn, L[i] + R[i + 1]);
        }
    }
        
    sol += mn + Y.size();
    cout << sol << '\n';
}

int main()
{
    ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
    int size = 1;

    // freopen("248.in", "r", stdin);
    // freopen("248.out", "w", stdout);

    // cin >> size;
    for (int i = 1; i <= size; i++)
        solve(i);   
}
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