HDU ~ 4738 ~ Caocao's Bridges (橋)
阿新 • • 發佈:2018-12-17
題意
輸入N,M,然後輸入M條邊(u,v,w)表示u-v有一條邊權為w的無向邊,求w最小的橋,輸出w。如果不存在橋輸出-1,圖不連通輸出0。
思路
模板題?就是有兩個坑點,①有重邊②圖不連通輸出0
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 1e5 + 5;
const int INF = 0x3f3f3f3f;
struct Edge
{
int from, to, num;
Edge(int from, int to, int num): from(from), to(to), num( num) {}
};
struct CUT
{
int n, m;
vector<Edge> edges;
vector<int> G[MAXN];
int DFN[MAXN], LOW[MAXN], dfs_clock; //時間戳,返祖邊到達的最小的祖先,計時
int iscut[MAXN]; //割點
vector<Edge> cut; //橋
void init(int n)
{
this-> n = n;
edges.clear();
for (int i = 0; i <= n; i++) G[i].clear();
}
void AddEdge(int from, int to, int num)
{
edges.push_back(Edge(from, to, num));
edges.push_back(Edge(to, from, num));
m = edges.size();
G[from].push_back(m-2);
G[to] .push_back(m-1);
}
int dfs(int u, int fa)
{
int lowu = DFN[u] = ++dfs_clock;
int child = 0;
bool flag = false;
for (int i = 0; i < G[u].size(); i++)
{
Edge& e = edges[G[u][i]];
int v = e.to;
//重邊不算橋,只跳過第一條fa~u的邊;如果重邊也算橋就把所有的v==fa的邊跳過
if (v == fa && !flag) { flag = true; continue; }
if (!DFN[v])//樹邊
{
child++;
int lowv = dfs(v, u);
lowu = min(lowu, lowv);
if (lowv >= DFN[u])//割點
iscut[u] = true;
if (lowv > DFN[u])//橋
cut.push_back(e);
}
else //返祖邊
lowu = min(lowu, DFN[v]);
}
if (fa < 0 && child == 1) iscut[u] = false;
LOW[u] = lowu;
return lowu;
}
int find_cut()
{
int cnt = 0;
dfs_clock = 0;
memset(DFN, 0, sizeof(DFN)), memset(LOW, 0, sizeof(LOW));
cut.clear(), memset(iscut, 0, sizeof(iscut));
for (int i = 0; i < n; i++)
if (!DFN[i]) cnt++, dfs(i, -1);
return cnt;
}
}gao;
int n, m;
int main()
{
while (~scanf("%d%d", &n, &m) && (n+m))
{
gao.init(n);
while (m--)
{
int u, v, w; scanf("%d%d%d", &u, &v, &w);
u--, v--;
gao.AddEdge(u, v, w);
}
if (gao.find_cut() > 1) { printf("0\n"); continue; }
int ans = INF;
for (auto& i: gao.cut) ans = min(ans, i.num);
if (ans == 0) ans = 1;
if (ans == INF) ans = -1;
printf("%d\n", ans);
}
return 0;
}
/*
3 3
1 2 7
2 3 4
3 1 4
3 2
1 2 7
2 3 4
0 0
*/