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Cod sursa(job #555054)
// http://infoarena.ro/problema/cmcm
#include <fstream>
#include <cstring>
#include <map>
#include <vector>
#include <queue>
using namespace std;
#define to first
#define cost second
const int maxSize = 611;
const int oo = 0x3f3f3f3f;
const int source = 0;
const int sink = 610;
ifstream in("cmcm.in");
ofstream out("cmcm.out");
int firstSize,secondSize,edges;
bool visit[maxSize];
int father[maxSize];
int dist[maxSize];
int capacity[maxSize][maxSize];
int currentFlow[maxSize][maxSize];
vector< pair<int,int> > edge;
vector< pair<int,int> > graph[maxSize];
bool bellmanFord();
int main() {
in >> firstSize >> secondSize >> edges;
edge.reserve(edges);
int from,to,currentCost;
for(int i=1;i<=edges;i++) {
in >> from >> to >> currentCost;
to += firstSize;
graph[from].push_back(make_pair(to,currentCost));
graph[to].push_back(make_pair(from,-currentCost));
capacity[from][to] = 1;
//edge[from][to] = i;
edge.push_back(make_pair(from,to));
}
for(int i=1;i<=firstSize;i++) {
graph[source].push_back(make_pair(i,0));
graph[i].push_back(make_pair(source,0));
capacity[source][i] = 1;
}
for(int i=firstSize+1;i<=firstSize+secondSize;i++) {
graph[i].push_back(make_pair(sink,0));
graph[sink].push_back(make_pair(i,0));
capacity[i][sink] = 1;
}
int minCost = 0;
while(bellmanFord()) {
int minFlow = oo;
for(int node=sink;node!=source;node=father[node])
minFlow = min(minFlow,capacity[father[node]][node] - currentFlow[father[node]][node]);
if(minFlow) {
for(int node=sink;node!=source;node=father[node]) {
currentFlow[father[node]][node] += minFlow;
currentFlow[node][father[node]] -= minFlow;
}
minCost += minFlow * dist[sink];
}
}
int matches = 0;
vector< pair<int,int> >::iterator it,end;
end = edge.end();
for(it=edge.begin();it!=end;++it)
if(capacity[it->first][it->second] && currentFlow[it->first][it->second])
matches++;
out << matches << " " << minCost << "\n";
for(it=edge.begin();it!=end;++it)
if(capacity[it->first][it->second] && currentFlow[it->first][it->second])
out << it - edge.begin() + 1 << " ";
out << "\n";
in.close();
out.close();
return (0);
}
bool bellmanFord() {
memset(visit,false,sizeof(visit));
visit[source] = true;
memset(dist,oo,sizeof(dist));
dist[source] = 0;
int node;
vector< pair<int,int> >::iterator it,end;
queue<int> myQueue;
myQueue.push(source);
while(!myQueue.empty()) {
node = myQueue.front();
myQueue.pop();
end = graph[node].end();
for(it=graph[node].begin();it!=end;++it)
if(capacity[node][it->to] > currentFlow[node][it->to] && dist[it->to] > dist[node] + it->cost) {
dist[it->to] = dist[node] + it->cost;
father[it->to] = node;
if(!visit[it->to]) {
myQueue.push(it->to);
visit[it->to] = true;
}
}
visit[node] = false;
}
return (dist[sink] != oo);
}