POJ 1094 Sorting It All Out ——拓扑排序(有点坑)
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Sorting It All Out
Time Limit: 1000MS
Memory Limit: 10000KTotal Submissions: 28628
Accepted: 9896
Memory Limit: 10000KTotal Submissions: 28628
Accepted: 9896
Description
An ascending sorted sequence of distinct values is one in which some form of a less-than operator is used to order the elements from smallest to largest. For example, the sorted sequence A, B, C, D implies that A < B, B < C and C < D. in this problem, we will give you a set of relations of the form A < B and ask you to determine whether a sorted order has been specified or not.
Input
Input consists of multiple problem instances. Each instance starts with a line containing two positive integers n and m. the first value indicated the number of objects to sort, where 2 <= n <= 26. The objects to be sorted will be the first n characters of the uppercase alphabet. The second value m indicates the number of relations of the form A < B which will be given in this problem instance. Next will be m lines, each containing one such relation consisting of three characters: an uppercase letter, the character "<" and a second uppercase letter. No letter will be outside the range of the first n letters of the alphabet. Values of n = m = 0 indicate end of input.
Output
For each problem instance, output consists of one line. This line should be one of the following three:
Sorted sequence determined after xxx relations: yyy...y.
Sorted sequence cannot be determined.
Inconsistency found after xxx relations.
where xxx is the number of relations processed at the time either a sorted sequence is determined or an inconsistency is found, whichever comes first, and yyy...y is the sorted, ascending sequence.
Sorted sequence determined after xxx relations: yyy...y.
Sorted sequence cannot be determined.
Inconsistency found after xxx relations.
where xxx is the number of relations processed at the time either a sorted sequence is determined or an inconsistency is found, whichever comes first, and yyy...y is the sorted, ascending sequence.
Sample Input
4 6A<BA<CB<CC<DB<DA<B3 2A<BB<A26 1A<Z0 0
Sample Output
Sorted sequence determined after 4 relations: ABCD.Inconsistency found after 2 relations.Sorted sequence cannot be determined.
Source
East Central North America 2001
错了好几遍不知道自己怎么错的,看了看讨论,才知道需要每输入一组数据就要排序一次,只能说真坑。。。。。
#include <stdio.h>#include <string.h>bool mp[27][27];int deg[27];int s[27];int num;int toposort(int n){ int tmp[27],flag = 2; memset(s,0,sizeof(s)); for(int i = 1;i <= n;i++) tmp[i] = deg[i]; for(int i = 1;i <= n;i++) { int js = 0,bj = 0; for(int j = 1;j <= n;j++) { if(!tmp[j]) { js++; bj = j; } } if(!js) return 0;//有环 if(js > 1) flag = 1;//有待于进一步排序 s[i] = bj; tmp[bj] = -1; for(int j = 1;j <= n;j++) { if(mp[bj][j]) { tmp[j]--; } } } return flag;}int main(){ int n,m,bj,fh; char sr[10]; while(scanf("%d%d",&n,&m),n || m) { num = 0; bool flag = true; memset(mp,false,sizeof(mp)); memset(deg,0,sizeof(deg)); for(int i = 0;i < m;i++) { scanf("%s",sr); if(!flag) continue; int zh1 = sr[0] - 'A' + 1; int zh2 = sr[2] - 'A' + 1; if(!mp[zh1][zh2]) { mp[zh1][zh2] = true; deg[zh2]++; } fh = toposort(n); if(fh == 0 || fh == 2) { bj = i + 1; flag = false; } } if(fh == 0) { printf("Inconsistency found after %d relations.\n",bj); } else if(fh == 2) { printf("Sorted sequence determined after %d relations: ",bj); for(int i = 1;i <= n;i++) printf("%c",char(s[i] + 'A' - 1)); printf(".\n"); } else if(fh == 1 && flag) { printf("Sorted sequence cannot be determined.\n"); } } return 0;}
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