题目链接
题意: 给定一张有向图。找出全部强连通分量,并输出。
思路:有向图的强连通分量用Tarjan算法,然后用map映射,便于输出,注意输出格式。
代码:
#include <iostream>
#include <cstdio>
#include <cstring>
#include <map>
#include <algorithm>using namespace std;const int MAXN = 2000;
const int MAXM = 50000;struct Edge{int to, next;
}edge[MAXM];int head[MAXN], tot;
int Low[MAXN], DFN[MAXN], Stack[MAXN], Belong[MAXN];
int Index, top;
int scc;
bool Instack[MAXN];
int num[MAXN];
int n, m, cnt;
map<string, int> sTon;
map<int, string> nTos; void init() {tot = cnt = 0;memset(head, -1, sizeof(head));sTon.clear();nTos.clear();
}void addedge(int u, int v) {edge[tot].to = v;edge[tot].next = head[u];head[u] = tot++;
}void Tarjan(int u) {int v;Low[u] = DFN[u] = ++Index;Stack[top++] = u;Instack[u] = true;for (int i = head[u]; i != -1; i = edge[i].next) {v = edge[i].to; if (!DFN[v]) {Tarjan(v); if (Low[u] > Low[v]) Low[u] = Low[v];} else if (Instack[v] && Low[u] > DFN[v]) Low[u] = DFN[v];}if (Low[u] == DFN[u]) {scc++; do { v = Stack[--top]; Instack[v] = false;Belong[v] = scc;num[scc]++;} while (v != u); }
}void solve() {memset(Low, 0, sizeof(Low));memset(DFN, 0, sizeof(DFN));memset(num, 0, sizeof(num));memset(Belong, 0, sizeof(Belong));memset(Stack, 0, sizeof(Stack));memset(Instack, false, sizeof(Instack));Index = scc = top = 0;for (int i = 1; i <= n; i++) if (!DFN[i])Tarjan(i);
}int main() {int t = 0;while (scanf("%d%d", &n, &m)) {if (n == 0 && m == 0) break; init();string s1, s2; for (int i = 0; i < m; i++) {cin >> s1 >> s2; if (sTon.find(s1) == sTon.end()) {cnt++; sTon[s1] = cnt;nTos[cnt] = s1;} if (sTon.find(s2) == sTon.end()) {cnt++; sTon[s2] = cnt;nTos[cnt] = s2;} addedge(sTon[s1], sTon[s2]);}if (t) printf("\n"); printf("Calling circles for data set %d:\n", ++t);solve();for (int i = 1; i <= scc; i++) {int flag = 0;for (int u = 1; u <= n; u++) {if (Belong[u] == i) {if (!flag) {cout << nTos[u];flag = 1;}else cout << ", " << nTos[u];}} printf("\n");}} return 0;
}