Competitive Programming

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

const int SINK = 50001;
const int MAX_N = 50005;
const int INF = 0x3f3f3f3f;

int N, M;
int pair_g1[MAX_N], pair_g2[MAX_N], dist[MAX_N];
list< int > adj[MAX_N];

bool bfs() {
    queue< int > q; // queue of G1 nodes

    for (int v = 0; v < N; ++v) {
        if (pair_g1[v] == SINK) {
            dist[v] = 0;
            q.push(v);
        }
        else {
            dist[v] = INF;
        }
    }
    dist[SINK] = INF;

    while (!q.empty()) {
        int v = q.front();
        q.pop();

        if (dist[v] < dist[SINK]) {
            for (list< int >::iterator it = adj[v].begin(); it != adj[v].end(); ++it) {
                int u = *it;

                if (dist[pair_g2[u]] == INF) {
                    dist[pair_g2[u]] = dist[v] + 1;
                    q.push(pair_g2[u]);
                }
            }
        }
    }
    return dist[SINK] != INF;
}

bool dfs(int u) {
    // DFS starting at a node u in G1

    if (u == SINK) {
        // we've reached a free node in G2 (i.e. one pointing to SINK)
        return true;
    }

    for (list< int >::iterator it = adj[u].begin(); it != adj[u].end(); ++it) {
        int v = *it;

        if (dist[pair_g2[v]] == dist[u] + 1) {
            if (dfs(pair_g2[v])) {
                pair_g1[u] = v;
                pair_g2[v] = u;
                return true;
            }
        }
    }
    dist[u] = INF;
    return false;
}
//Bipartite Maching Problem -> O(sqrt(V)*e)
int hopcroft_karp() {
    int matching = 0;

    for (int i = 0; i < N; ++i) {
        pair_g1[i] = SINK;
    }
    for (int j = 0; j < M; ++j) {
        pair_g2[j] = SINK;
    }

    while (bfs()) {
        for (int i = 0; i < N; ++i) {
            if (pair_g1[i] == SINK) {
                matching += dfs(i);
            }
        }
    }
    return matching;
}
int main() {
    int n,m,cases; scanf("%d",&cases);
    while(cases--)
    {
        scanf("%d%d",&n,&m);
        for (int i = 0; i < N; i++) adj[i].clear();
        cin.ignore();
        char arr[n][m];
        int hori[n][m],vert[n][m];
        string car;
        for(int i=0; i<n;i++)
            for(int j=0;j<m;j++) { cin>>car; arr[i][j]=car[0];}
        int counthor = 0,colocados=0,countver=0;
        for(int i=0; i<n;i++)
        {
            for(int j=0;j<m;j++)
            {
               if(arr[i][j]=='A')
               {
                   if(colocados>=1)
                   {
                    counthor++; colocados=0; continue;
                   }
               }
               else if(arr[i][j]=='D') continue;
               else { hori[i][j]=counthor; colocados++;}
            }
            if(colocados>=1) { counthor++; colocados=0; }
        }
        colocados=0;
        for(int i=0; i<m;i++)
        {
            for(int j=0;j<n;j++)
            {
               if(arr[j][i]=='A')
               {
                   if(colocados>=1)
                   {
                    countver++; colocados=0; continue;
                   }
               }
               else if(arr[j][i]=='D') continue;
               else { vert[j][i]=countver; colocados++;}
            }
            if(colocados>=1) { countver++; colocados=0; }
        }
        N=countver; M=counthor;
        for(int i=0; i<n;i++)
        {
            for(int j=0;j<m;j++)
            {
               if(arr[i][j]=='H')
               {
                   int val = vert[i][j];
                   adj[val].push_back(hori[i][j]);
               }

            }
        }
        printf("%d\n",hopcroft_karp());
    }
    return 0;
}