Submission #107160

#TimeUsernameProblemLanguageResultExecution timeMemory
107160oolimryPalembang Bridges (APIO15_bridge)C++14
100 / 100
115 ms8860 KiB
#include <bits/stdc++.h>

using namespace std;

typedef pair<long long, long long> ii;
bool comp(ii a, ii b){
    return a.first + a.second < b.first + b.second;
}
int main()
{
    //freopen("i.txt","r",stdin);
    int k, n;

    ios_base::sync_with_stdio(false);
    cin.tie(0);

    cin >> k >> n;


    vector<ii> pairs;
    long long forcedDist = 0ll;

    for(int i = 0;i < n;i++){
        char a, c;
        long long b, d;
        cin >> a >> b >> c >> d;

        if(a == c){
            forcedDist += abs(d-b);
        }
        else{
            forcedDist += abs(d-b);
            forcedDist++;
            if(b > d) swap(b,d);
            pairs.push_back(ii(b,d));
        }
    }

    n = pairs.size();
    if(n == 0){
        cout << forcedDist;
        return 0;
    }
    sort(pairs.begin(),pairs.end(),comp);

    for(int i = 0;i < n;i++){
        //cout << pairs[i].first << " " << pairs[i].second << "\n";
    }

    long long prefix[n];
    long long suffix[n];

    priority_queue<long long> low;
    priority_queue<long long, vector<long long>, greater<long long> > high;
    long long minVal = 0;
    for(int i = 0;i < n;i++){
        long long p = pairs[i].first;
        long long q = pairs[i].second;
        if(low.empty()){
            low.push(p);
            high.push(q);
        }
        else{
            if(low.top() >= q){
                low.push(p);
                low.push(q);
                minVal += abs(low.top() - q);

                high.push(low.top());
                low.pop();
            }
            else if(high.top() <= p){
                high.push(p);
                high.push(q);
                minVal += abs(high.top() - p);
                low.push(high.top());
                high.pop();
            }
            else{
                low.push(p);
                high.push(q);
            }
        }
        prefix[i] = minVal;
    }

    if(k == 1){
        cout << prefix[n-1] * 2ll + forcedDist;
        return 0;
    }




    reverse(pairs.begin(),pairs.end());

    while(!low.empty())low.pop();
    while(!high.empty())high.pop();
    minVal = 0;
    for(int i = 0;i < n;i++){
        long long p = pairs[i].first;
        long long q = pairs[i].second;
        if(low.empty()){
            low.push(p);
            high.push(q);
        }
        else{
            if(low.top() >= q){
                low.push(p);
                low.push(q);
                minVal += abs(low.top() - q);

                high.push(low.top());
                low.pop();
            }
            else if(high.top() <= p){
                high.push(p);
                high.push(q);
                minVal += abs(high.top() - p);
                low.push(high.top());
                high.pop();
            }
            else{
                low.push(p);
                high.push(q);
            }
        }
        suffix[i] = minVal;
    }
    reverse(suffix,suffix+n);
    //cout << "\n";
    long long mv = suffix[0];
    for(int i = 1;i < n;i++){
        //cout << suffix[i] << " ";
        mv = min(prefix[i-1] + suffix[i], mv);
    }

    cout << mv * 2ll + forcedDist;





    return 0;
}
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