Submission #1364782

#TimeUsernameProblemLanguageResultExecution timeMemory
1364782ivazivaLove Polygon (BOI18_polygon)C++20
50 / 100
158 ms32528 KiB
#include <bits/stdc++.h>

using namespace std;

#define MAXN 100001
#define int long long

int n;
vector<pair<string,string>> edges;
vector<string> kompresija;
vector<int> adj[2*MAXN];
bool pos[2*MAXN];
int idx[2*MAXN];
vector<int> toposort;
vector<vector<int>> cycles;
vector<int> graph[2*MAXN];
int dp[3][2*MAXN];
vector<pair<int,pair<int,int>>> dodaj;

void dfs(int node)
{
    pos[node]=true;
    for (int sled:adj[node])
    {
        if (!pos[sled]) dfs(sled);
    }
    toposort.push_back(node);
}

void calculate(int node,int pret)
{
    for (int sled:graph[node])
    {
        if (sled!=pret) calculate(sled,node);
    }
    int maxrazlika=-INT_MAX;
    for (int sled:graph[node])
    {
        if (sled!=pret)
        {
            dp[0][node]+=max(dp[0][sled],dp[2][sled]);
            dp[1][node]+=max(dp[0][sled],dp[2][sled]);
            dp[2][node]+=max(dp[0][sled],dp[2][sled]);
            maxrazlika=max(maxrazlika,dp[1][sled]-max(dp[0][sled],dp[2][sled]));
        }
    }
    if (maxrazlika!=-INT_MAX) dp[2][node]+=maxrazlika+1;
}

int32_t main()
{
    cin>>n;for (int i=1;i<=n;i++) {string s1,s2;cin>>s1>>s2;edges.push_back({s1,s2});kompresija.push_back(s1);kompresija.push_back(s2);}
    if (n%2==1) {cout<<-1<<endl;return 0;}
    sort(kompresija.begin(),kompresija.end());kompresija.erase(unique(kompresija.begin(),kompresija.end()),kompresija.end());
    for (pair<string,string> edge:edges)
    {
        int u=lower_bound(kompresija.begin(),kompresija.end(),edge.first)-kompresija.begin()+1;
        int v=lower_bound(kompresija.begin(),kompresija.end(),edge.second)-kompresija.begin()+1;
        adj[u].push_back(v);
    }
    for (int node=1;node<=(int)kompresija.size();node++)
    {
        if (!pos[node]) dfs(node);
    }
    reverse(toposort.begin(),toposort.end());for (int i=0;i<(int)toposort.size();i++) idx[toposort[i]]=i;
    for (int node=1;node<=(int)kompresija.size();node++) pos[node]=false;
    for (int node=1;node<=(int)kompresija.size();node++)
    {
        for (int sled:adj[node])
        {
            if (idx[node]<idx[sled]) continue;
            vector<int> cycle;cycle.push_back(node);int current=sled;pos[node]=true;
            while (current!=node) {cycle.push_back(current);pos[current]=true;current=adj[current][0];}
            cycles.push_back(cycle);
        }
    }
    for (int node=1;node<=(int)kompresija.size();node++)
    {
        for (int sled:adj[node])
        {
            if (pos[node] and pos[sled]) continue;
            graph[node].push_back(sled);graph[sled].push_back(node);
        }
    }
    int answer=0;
    for (vector<int> cycle:cycles)
    {
        for (int node:cycle) calculate(node,0);
        if ((int)cycle.size()==1) {answer+=max(dp[0][cycle[0]],dp[2][cycle[0]]);continue;}
        if ((int)cycle.size()==2) {answer+=max(2+dp[0][cycle[0]]+dp[0][cycle[1]],dp[2][cycle[0]]+dp[2][cycle[1]]);continue;}
        for (int node:cycle) answer+=max(dp[0][node],dp[2][node]);
        dodaj.push_back({1+dp[0][cycle[0]]+dp[0][cycle[(int)cycle.size()-1]]-max(dp[0][cycle[0]],dp[2][cycle[0]])-max(dp[0][cycle[(int)cycle.size()-1]],dp[2][cycle[(int)cycle.size()-1]]),{cycle[0],cycle[(int)cycle.size()-1]}});
        for (int pos=1;pos<(int)cycle.size();pos++) dodaj.push_back({1+dp[0][cycle[pos]]+dp[0][cycle[pos-1]]-max(dp[0][cycle[pos]],dp[2][cycle[pos]])-max(dp[0][cycle[pos-1]],dp[2][cycle[pos-1]]),{cycle[pos],cycle[pos-1]}});
    }
    sort(dodaj.begin(),dodaj.end());reverse(dodaj.begin(),dodaj.end());
    for (int node=1;node<=(int)kompresija.size();node++) pos[node]=false;
    for (pair<int,pair<int,int>> par:dodaj)
    {
        if (par.first<=0) break;
        if (pos[par.second.first] or pos[par.second.second]) continue;
        answer+=par.first;pos[par.second.first]=true;pos[par.second.second]=true;
    }
    cout<<n-answer<<endl;
}
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