Pagini recente » Cod sursa (job #433413) | Cod sursa (job #1605877) | Cod sursa (job #2557491) | Cod sursa (job #1383180) | Cod sursa (job #3190758)
// https://www.infoarena.ro/problema/cc
#include <iostream>
#include <vector>
#include <utility>
#include <climits>
#include <deque>
#include <queue>
#include <fstream>
#include <algorithm>
using namespace std;
class Graph
{
private:
static const int MAX_VERTICES = 1000;
static const int MAX_EDGES = 5000;
int noVertices;
int noEdges;
vector<vector<int>> neighbours;
vector<vector<int>> capacity;
vector<vector<int>> flow;
vector<vector<int>> distance;
public:
Graph(const int &noVertices)
: noVertices(noVertices),
neighbours(noVertices + 1),
capacity(noVertices + 1, vector<int>(noVertices + 1, 0)),
flow(noVertices + 1, vector<int>(noVertices + 1, 0)),
distance(noVertices + 1, vector<int>(noVertices + 1, 0))
{
}
int getNoVertices()
{
return noVertices;
}
int getNoEdges()
{
return noEdges;
}
void addNeighbour(const int& vertex, const int& neighbour_to_add, const int& capacity, const int& distance = 0)
{
neighbours[vertex].push_back(neighbour_to_add);
neighbours[neighbour_to_add].push_back(vertex);
this->capacity[vertex][neighbour_to_add] = capacity;
this->distance[vertex][neighbour_to_add] = distance;
this->distance[neighbour_to_add][vertex] = -distance;
}
bool BFS(const int& source, const int& sink, vector<int>& parent, vector<int>& minDistance)
{
parent = vector<int> (noVertices + 1, -2);
minDistance = vector<int> (noVertices + 1, INT_MAX);
queue<int> que;
que.push(source);
minDistance[source] = 0;
parent[source] = -1;
while (!que.empty())
{
int curr_vertex = que.front();
que.pop();
for (int neigh : neighbours[curr_vertex])
{
//atunci cand avem muchia inversa, capacitatea este 0
//deci cand flow-ul este 0, nu putem "intoarce" pe acolo ceva
//cand flow-ul este diferit de 0 (adica negativ) putem intoarce pe acolo ceva
if (flow[curr_vertex][neigh] == capacity[curr_vertex][neigh]
|| minDistance[curr_vertex] + distance[curr_vertex][neigh] >= minDistance[neigh])
continue;
parent[neigh] = curr_vertex;
minDistance[neigh] = minDistance[curr_vertex] + distance[curr_vertex][neigh];
que.push(neigh);
}
}
return parent[sink] != -2;
}
int getMaxFlow()
{
const int source = 0;
const int sink = noVertices;
int maxFlow = 0;
int result = 0;
vector<int> parent;
vector<int> minDistance;
while(BFS(source, sink, parent, minDistance))
{
int minFlowPath = INT_MAX;
int curr_vertex = sink;
int curr_parent = parent[sink];
//de remarcat ca atunci cand avem o muchie de intoarcere, diferenta o sa fie
//0 - (un flux negativ), deci o sa comparam in continuare cu un numar pozitiv
for ( ; curr_vertex != source; curr_vertex = curr_parent, curr_parent = parent[curr_vertex])
if (capacity[curr_parent][curr_vertex] - flow[curr_parent][curr_vertex] < minFlowPath)
minFlowPath = capacity[curr_parent][curr_vertex] - flow[curr_parent][curr_vertex];
maxFlow += minFlowPath;
curr_vertex = sink;
curr_parent = parent[sink];
for ( ; curr_vertex != source; curr_vertex = curr_parent, curr_parent = parent[curr_vertex])
{
flow[curr_parent][curr_vertex] += minFlowPath;
flow[curr_vertex][curr_parent] -= minFlowPath;
}
result += minDistance[noVertices];
}
return result;
}
};
int main()
{
int N;
ifstream fin ("cc.in");
fin >> N;
Graph graph(2 * N + 1);
for (int i=1; i<=N; i++)
{
graph.addNeighbour(0, i, 1);
graph.addNeighbour(i + N, 2 * N + 1, 1);
for (int j=1; j<=N; j++)
{
int dist;
fin >> dist;
graph.addNeighbour(i, j + N, 1, dist);
}
}
fin.close();
ofstream fout("cc.out");
fout << graph.getMaxFlow() << "\n";
fout.close();
return 0;
}