Submission #631274

#	Time	Username	Problem	Language	Result	Execution time	Memory
631274		czhang2718	Tracks in the Snow (BOI13_tracks)	C++17	97.81 / 100	2124 ms	682036 KiB

tracks

#include "bits/stdc++.h"
using namespace std;

const int N=4000;
int n, m;
string grid[N];
int par[N*N];
short rnk[N*N];
short dx[]={0, 0, 1, -1};
short dy[]={1, -1, 0, 0};
vector<int> adj[N*N];

int find(int x){ return par[x]==x?x:par[x]=find(par[x]); }

void join(int x, int y){
    int a=find(x);
    int b=find(y);
    if(a==b) return;
    if(rnk[a]<rnk[b]) par[a]=b;
    else if(rnk[b]<rnk[a]) par[b]=a;
    else{
        rnk[a]++;
        par[b]=a;
    }
}

int main(){
    cin.tie(0)->sync_with_stdio(0);

    cin >> n >> m;
    for(int i=0; i<n; i++){
        for(int j=0; j<m; j++) par[i*m+j]=i*m+j;
        cin >> grid[i];
    }

    for(int i=0; i<n; i++){
        for(int j=0; j<m; j++){
            if(grid[i][j]=='.') continue;
            for(int k=0; k<4; k++){
                int x=i+dx[k];
                int y=j+dy[k];
                if(x<0 || x==n || y<0 || y==m || grid[x][y]!=grid[i][j]) continue;
                join(m*i+j, m*x+y);
            }
        }
    }

    for(int i=0; i<n; i++){
        for(int j=0; j<m; j++){
            if(grid[i][j]=='.') continue;
            for(int k=0; k<4; k++){
                int x=i+dx[k];
                int y=j+dy[k];
                if(x<0 || x==n || y<0 || y==m || grid[x][y]==grid[i][j] || grid[x][y]=='.') continue;
                int a=find(m*i+j), b=find(m*x+y);
                adj[a].push_back(b);
                adj[b].push_back(a);
            }
        }
    }

    for(int i=0; i<n*m; i++){
        if(find(i)!=i) continue;
        sort(adj[i].begin(), adj[i].end());
        adj[i].erase(unique(adj[i].begin(), adj[i].end()), adj[i].end());
        // for(int k:adj[i]) cout << i << " " << k << "\n";
    }

    queue<int> q;
    q.push(find(0));
    vector<int> vis(n*m);
    for(; !q.empty(); q.pop()){
        int x=q.front();
        for(int k:adj[x]){
            if(!vis[k] && k!=find(0)){
                vis[k]=vis[x]+1;
                // cout << "vis[" << k << "] = " << vis[k] << "\n";
                q.push(k);
            }
        }
    }
    cout << *max_element(vis.begin(), vis.end())+1;
}
// when its been a long time since goodbye

• Subtask 1: 30 / 30
• Subtask 2: 67.8125 / 70