Cod sursa(job #3297293)

Utilizator Arhiva_Educationala_2Arhiva Educationala doi Arhiva_Educationala_2 Data 22 mai 2025 13:28:46
Problema Cuplaj maxim in graf bipartit Scor 60
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 1.41 kb
#include <stdio.h>
#include <vector>
#include <algorithm>

constexpr int NIL = -1;
const int MAXN = 20000;
std::vector<int> adj[MAXN];
int pair[MAXN];
bool viz[MAXN];

bool try_pair( int u ) {
  viz[u] = true;

  for( int v : adj[u] )
    if( pair[v] == NIL ){
      pair[v] = u;
      pair[u] = v;
      return true;
    }

  for( int v : adj[u] ){
    if( viz[v] ) continue;
    viz[v] = true;
    
    if( try_pair( pair[v] ) ){
      pair[v] = u;
      pair[u] = v;
      return true;
    }
  }
  
  return false;
}

int main() {
  FILE *fin = fopen( "cuplaj.in", "r" );
  FILE *fout = fopen( "cuplaj.out", "w" );

  int left, right, m;
  fscanf( fin, "%d%d%d", &left, &right, &m );

  for( int i = 0; i < m; i++ ){
    int a, b;
    fscanf( fin, "%d%d", &a, &b );
    a--; b--; b += left;

    adj[a].push_back( b );
    adj[b].push_back( a );
  }

  for( int i = 0; i < left + right; i++ )
    pair[i] = NIL;

  bool dai = true;
  while( dai ){
    for( int i = 0; i < left + right; i++ )
      viz[i] = false;
    
    dai = false;
    for( int i = 0; i < left; i++ )
      if( !viz[i] )
        dai |= try_pair( i );
  }

  std::vector<std::pair<int, int>> out;
  for( int i = 0; i < left; i++ )
    if( pair[i] != NIL )
      out.emplace_back( i + 1, pair[i] - left + 1 );

  fprintf( fout, "%d\n", (int)out.size() );
  for( auto [a, b] : out )
    fprintf( fout, "%d %d\n", a, b );

  fclose( fin );
  fclose( fout );
  return 0;
}