http://poj.org/problem?id=1466
2.Idea
Bipartite Matching
3.Source
#define MAX_V 1000
int V;
vector<int> G[MAX_V];
int match[MAX_V];
bool used[MAX_V];
void add_edge(int u, int v)
{
G[u].push_back(v);
G[v].push_back(u);
}
bool dfs(int v)
{
used[v] = true;
for (int i = 0; i < G[v].size(); i++) {
int u = G[v][i], w = match[u];
if (w < 0 || !used[w] && dfs(w)) {
match[v] = u;
match[u] = v;
return true;
}
}
return false;
}
int bipartite_matching()
{
int res = 0;
memset(match, -1, sizeof match);
for (int v = 0; v < V; v++) {
if (match[v] < 0) {
memset(used, 0, sizeof used);
if (dfs(v)) {
res++;
}
}
}
return res;
}
void solve()
{
for (int i = 0; i <= V; i++) G[i].clear();
memset(used, 0, sizeof used);
for (int i = 0; i < V; i++) {
int k, t;
scanf("%d: (%d)", &t, &k);
for (int j = 0; j < k; j++) {
scanf("%d", &t);
add_edge(i, t);
}
}
printf("%d\n", V - bipartite_matching());
}
int main()
{
while (scanf("%d", &V)>0) {
if (V == 0) break;
solve();
}
return 0;
}
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