POJ 3177 Redundant Paths / 边双连通分量

时间:2022-07-12 18:37:31

和上一题一样 给你一张图 求最少加几条边可以使全图双连通 多了重边

多加了一个bool的数组 判断重边 重边只算一条

还是用了有向图的强连通分量 与有向图相比 多了 1.参数fa 父节点 2.如果子节点是其父节点 continue

#include <cstdio>
#include <cstring>
#include <vector>
#include <stack>
#include <algorithm>
using namespace std;
const int maxn = 5010;

vector <int> G[maxn];
bool ok[maxn][maxn];
int pre[maxn];
int low[maxn];
int sccno[maxn];
int dfs_clock;
int scc_cnt;
stack <int> S;
int n, m;
int degree[maxn];
int Topo[maxn][maxn];
void dfs(int u, int fa)
{
pre[u] = low[u] = ++dfs_clock;
S.push(u);
for(int i = 0; i < G[u].size(); i++)
{
int v = G[u][i];
if(v == fa)
continue;
if(!pre[v])
{
dfs(v, u);
low[u] = min(low[u], low[v]);
}
else
low[u] = min(low[u], pre[v]);
}
if(low[u] == pre[u])
{
scc_cnt++;
while(1)
{
int x = S.top();
S.pop();
sccno[x] = scc_cnt;
if(x == u)
break;
}
}
}
void find_scc()
{
dfs_clock = scc_cnt = 0;
memset(sccno, 0, sizeof(sccno));
memset(pre, 0, sizeof(pre));
for(int i = 1; i <= n; i++)
if(!pre[i])
dfs(i, -1);
}


int main()
{
while(scanf("%d %d", &n, &m) != EOF)
{
for(int i = 1; i <= n; i++)
G[i].clear();
memset(ok, false, sizeof(ok));
while(m--)
{
int u, v;
scanf("%d %d", &u, &v);
if(!ok[u][v])
{
G[u].push_back(v);
G[v].push_back(u);
ok[u][v] = true;
}
}
find_scc();
memset(degree, 0, sizeof(degree));
for(int i = 1; i <= n; i++)
{
for(int j = 0; j < G[i].size(); j++)
{
int v = G[i][j];
if(sccno[i] != sccno[v])
{
degree[sccno[i]]++;
degree[sccno[v]]++;
}
}
}
int ans = 0;
for(int i = 1; i <= scc_cnt; i++)
if(degree[i] == 2)
ans++;
printf("%d\n", (ans + 1) / 2);
}
return 0;
}