大意:拓扑排序或者Floyd判断是否有环。
基于邻接表的BFS实现的拓扑排序。
CODE1:
#include <iostream>
#include <queue>
using namespace std;
#define M 10005
struct edge
{
int v, w, next;
}edge[20005];
int ind[M], first[M], cnt, n, m, tot, num;
int topo[M];
void init()
{
cnt = 0;
tot = 0;
memset(first, -1, sizeof(first));
memset(ind, 0, sizeof(ind));
memset(topo, 0, sizeof(topo));
}
void read_graph(int u, int v)
{
edge[cnt].v = v; edge[cnt].next = first[u]; first[u] = cnt++;
}
int toposort()
{
queue<int> q;
for(int u = 0; u < n; u++) if(!ind[u])
q.push(u);
while(!q.empty())
{
int x = q.front(); q.pop();
topo[++tot] = x;
for(int e = first[x]; e != -1; e = edge[e].next)
{
if(--ind[edge[e].v] == 0)
{
q.push(edge[e].v);
}
}
}
if(tot != n) return 0;
return 1;
}
int main()
{
while(~scanf("%d%d", &n, &m), n, m)
{
init();
while(m--)
{
int u, v;
scanf("%d%d", &u, &v);
read_graph(u, v);
ind[v]++;
}
if(toposort())
{
printf("YES\n");
}
else printf("NO\n");
}
}
#include <queue>
using namespace std;
#define M 10005
struct edge
{
int v, w, next;
}edge[20005];
int ind[M], first[M], cnt, n, m, tot, num;
int topo[M];
void init()
{
cnt = 0;
tot = 0;
memset(first, -1, sizeof(first));
memset(ind, 0, sizeof(ind));
memset(topo, 0, sizeof(topo));
}
void read_graph(int u, int v)
{
edge[cnt].v = v; edge[cnt].next = first[u]; first[u] = cnt++;
}
int toposort()
{
queue<int> q;
for(int u = 0; u < n; u++) if(!ind[u])
q.push(u);
while(!q.empty())
{
int x = q.front(); q.pop();
topo[++tot] = x;
for(int e = first[x]; e != -1; e = edge[e].next)
{
if(--ind[edge[e].v] == 0)
{
q.push(edge[e].v);
}
}
}
if(tot != n) return 0;
return 1;
}
int main()
{
while(~scanf("%d%d", &n, &m), n, m)
{
init();
while(m--)
{
int u, v;
scanf("%d%d", &u, &v);
read_graph(u, v);
ind[v]++;
}
if(toposort())
{
printf("YES\n");
}
else printf("NO\n");
}
}
CODE2:
#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <queue>
using namespace std;
const int M = 10005;
int u[4*M], v[4*M], next[4*M], w[4*M], topo[4*M];
int first[M], d[M];
int ind[M];
int n, m, cnt, tot;
void init()
{
cnt = tot = 0;
memset(ind, 0, sizeof(ind));
memset(first, -1, sizeof(first));
memset(next, 0, sizeof(next));
memset(topo, 0, sizeof(topo));
memset(d, 0, sizeof(d));
}
void read_graph(int u1, int v1)
{
v[cnt] = v1, next[cnt] = first[u1], first[u1] = cnt++;
}
int toposort()
{
queue<int> q;
for(int i = 0; i < n; i++) if(!ind[i])
q.push(i);
while(!q.empty())
{
int x = q.front(); q.pop();
topo[++tot] = x;
for(int e = first[x]; e!=-1; e = next[e])
{
if(--ind[v[e]] == 0)
{
q.push(v[e]);
}
}
}
if(tot != n) return 0;
return 1;
}
int main()
{
while(~scanf("%d%d", &n, &m), n, m)
{
init();
while(m--)
{
int u1, v1;
scanf("%d%d", &u1, &v1);
read_graph(u1, v1);
ind[v1]++;
}
if(toposort())
{
printf("YES\n");
}
else printf("NO\n");
}
}
#include <cstdio>
#include <cstdlib>
#include <queue>
using namespace std;
const int M = 10005;
int u[4*M], v[4*M], next[4*M], w[4*M], topo[4*M];
int first[M], d[M];
int ind[M];
int n, m, cnt, tot;
void init()
{
cnt = tot = 0;
memset(ind, 0, sizeof(ind));
memset(first, -1, sizeof(first));
memset(next, 0, sizeof(next));
memset(topo, 0, sizeof(topo));
memset(d, 0, sizeof(d));
}
void read_graph(int u1, int v1)
{
v[cnt] = v1, next[cnt] = first[u1], first[u1] = cnt++;
}
int toposort()
{
queue<int> q;
for(int i = 0; i < n; i++) if(!ind[i])
q.push(i);
while(!q.empty())
{
int x = q.front(); q.pop();
topo[++tot] = x;
for(int e = first[x]; e!=-1; e = next[e])
{
if(--ind[v[e]] == 0)
{
q.push(v[e]);
}
}
}
if(tot != n) return 0;
return 1;
}
int main()
{
while(~scanf("%d%d", &n, &m), n, m)
{
init();
while(m--)
{
int u1, v1;
scanf("%d%d", &u1, &v1);
read_graph(u1, v1);
ind[v1]++;
}
if(toposort())
{
printf("YES\n");
}
else printf("NO\n");
}
}