拓扑排序示例程序
April 28, 2013
Graph
输入:顶点个数n,边数m,然后是m行,表示每条边的起点和终点u, v 表示从顶点u到顶点v的一条有向边。输入0 0 表示结束。 输出:如果不存在有向环,则输出一个拓扑有序序列;否则,输出“Netword has a cycle!”
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cctype>
#include <stack>
#include <queue>
#include <map>
#include <set>
#include <vector>
#include <cmath>
#include <algorithm>
#define lson l, m, rt<<1
#define rson m+1, r, rt<<1|1
using namespace std;
typedef long long int LL;
const int MAXN = 0x3f3f3f3f;
const int MIN = -0x3f3f3f3f;
const double eps = 1e-9;
const int dir[8][2] = {{0,1},{1,0},{0,-1},{-1,0},{-1,1},
{1,1},{1,-1},{-1,-1}};
int n, m, Count[100], i, j, top, out[100];
struct ArcNode{
int to; struct ArcNode *next;
};
ArcNode *List[100];
void topsort()
{
ArcNode *temp; top = -1; int k, len = 0; bool flag = true;
for (i = 0; i < n; ++i) {
if (Count[i] == 0) {
Count[i] = top; top = i;
}
}
for (i = 0; i < n; ++i) {
k = top; if (k == -1) { flag = false; break; }
top = Count[k]; temp = List[k]; out[len++] = k + 1;
while (temp != NULL) {
Count[temp->to]--;
if (Count[temp->to] == 0) {
Count[temp->to] = top; top = temp->to;
} temp = temp->next;
}
}
if (flag) {
for (i = 0; i < len; ++i) {
if (!i) printf("%d", out[i]); else printf(" %d", out[i]);
} printf("\n");
} else printf("Network has a cycle!\n");
for (i = 0; i < n; ++i) {
temp = List[i];
while (temp) {
List[i] = temp->next; delete temp; temp = List[i];
}
}
}
int main(void){
#ifndef ONLINE_JUDGE
freopen("topsort.in", "r", stdin);
#endif
while (~scanf("%d%d", &n, &m)){
if (m + n == 0) break;
int u, v; ArcNode *temp;
memset(Count, 0, sizeof(Count));
memset(List, 0, sizeof(List));
memset(out, 0, sizeof(out));
for (i = 0; i < m; ++i){
scanf("%d%d", &u, &v); u--; v--;
temp = new ArcNode; temp->next = NULL; temp->to = v;
temp->next = List[u]; List[u] = temp; Count[v]++;
}
topsort();
}
return 0;
}
用数组实现的链式栈 ,好神奇……