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POJ 1094: Sorting It All Out( 拓扑排序 )
2015-07-20 18:06:33 来源: 作者: 【 】 浏览:10
Tags:POJ 1094: Sorting All Out 拓扑 排序

Sorting It All Out


Time Limit: 1000MS
Memory Limit: 10000K
Total Submissions: 26866
Accepted: 9267

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.

Sample Input

4 6
A

Sample Output

Sorted sequence determined after 4 relations: ABCD.
Inconsistency found after 2 relations.
Sorted sequence cannot be determined.


要看清题。。。。

Sorted sequence determined after 4 relations: ABCD.  
输入前4个关系后,决定出了一个序列(关系总数可能大于4)

Inconsistency found after 2 relations.
输入前2个关系后,冲突出现了(环,关系总数可能大于2)

Sorted sequence cannot be determined.
所有关系输入后,序列和冲突均无出现



#include
    
     
#include
     
       #include
      
        #include
       
         #include
        
          #include
         
           using namespace std; const int M = 30 ; const int N = 1000 + 50; int n, m; char inchar[N][M]; char outchar[M]; int in[M]; int cut; vector
          
           amap[M]; int flag; int toposort() { cut = 0; queue
           
            que; int temp[M]; memcpy( temp, in, sizeof( in ) ); bool all_out = true; //是否是全序的标记 for( int i=0; i
            
             1 ) //若队列里不是一个元素时,就不是全序的了 all_out = false; int a = que.front(); que.pop(); outchar[ cut++ ] = a + 'A'; for( int i=0; i
             
              





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