UVA315- Network(无向图割点)

题目链接

题意: 给出一张无向图,求割点的个数

思路:非常裸的题目。直接套用模版就可以。

代码:

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm> using namespace std; const int MAXN = 1005; struct Edge{
int to, next;
bool cut;
}edge[MAXN * 10];
int head[MAXN], tot;
int Low[MAXN], DFN[MAXN];
int Index, cnt;
bool cut[MAXN]; void addedge(int u, int v) {
edge[tot].to = v;
edge[tot].next = head[u];
edge[tot].cut = false;
head[u] = tot++;
} void Tarjan(int u, int pre) {
int v;
Low[u] = DFN[u] = ++Index;
int son = 0;
for (int i = head[u]; i != -1; i = edge[i].next) {
v = edge[i].to;
if (v == pre) continue;
if (!DFN[v]) {
son++;
Tarjan(v, u);
if (Low[u] > Low[v]) Low[u] = Low[v];
if (u != pre && Low[v] >= DFN[u]) {
cut[u] = true;
}
}
else if (Low[u] > DFN[v])
Low[u] = DFN[v];
}
if (u == pre && son > 1) cut[u] = true;
} void init() {
memset(head, -1, sizeof(head));
memset(DFN, 0, sizeof(DFN));
memset(cut, false, sizeof(cut));
tot = 0;
Index = cnt = 0;
} int main() {
int n;
while (scanf("%d", &n) && n) {
init();
int u, v;
while (scanf("%d", &u) && u) {
char ch;
while (scanf("%d%c", &v, &ch)) {
addedge(u, v);
addedge(v, u);
if (ch == '\n') break;
}
} for (int i = 1; i <= n; i++)
if (!DFN[i])
Tarjan(i, i);
for (int i = 1; i <= n; i++)
if (cut[i])
cnt++;
printf("%d\n", cnt);
}
return 0;
}

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