#include <stdio.h>
#include <string.h>
int map[28][28],num,n;
char output[28];
int Floyd()
{
int i,k,j;
for(i=1;i<=n;i++)
for(k=1;k<=n;k++)
for(j=1;j<=n;j++)
if( map[k][i] && map[i][j] )
map[k][j]=1;
for(i=1;i<=n;i++)
if(map[i][i]==1)
return 1;
return 0;
}
int Topsort()
{
int cou,ind,k,i,degree[28],used[28];
num =0;
memset(used,0,sizeof(used));
memset( degree,0,sizeof(degree) );
for(i=1;i<=n;i++)
for(k=1;k<=n;k++)
if(map[i][k])
degree[k]++;
for(i=1;i<=n;i++)
{
cou=0;
for(k=1;k<=n;k++)
if(degree[k]==0 && !used[k])
{
output[num++]=k+‘A‘-1;
used[k]=1;
cou++;
ind=k;
}
if(cou>1) return 0;
for(k=1;k<=n;k++)
if(map[ind][k]) degree[k]--;
}
output[num]=‘\0‘;
return 2;
}
int main()
{
int m,flag,i,pos;
char str[4];
while( scanf("%d%d",&n,&m)!=EOF && ( n || m ) )
{
flag=0;
memset(map,0,sizeof(map));
for(i=1;i<=m;i++)
{
scanf("%s",str);
map[str[0]-‘A‘+1][str[2]-‘A‘+1] = 1;
if(flag) continue;
flag=Floyd();
if(flag==1)
pos=i;
else if(flag==0)
flag=Topsort();
else
continue;
if(flag==2)
pos=i;
}
if(flag==2)
printf("Sorted sequence determined after %d relations: %s.\n",pos,output);
else if(flag==1)
printf("Inconsistency found after %d relations.\n",pos);
else
printf("Sorted sequence cannot be determined.\n");
}
return 0;
}
Sorting It All Out(拓扑排序,floyd)