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Cat VS Dog

系統 2487 0

Cat VS Dog

Time Limit: 2000/1000 MS (Java/Others)????Memory Limit: 125536/65536 K (Java/Others)
Total Submission(s): 2046????Accepted Submission(s): 719

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Problem Description
The zoo have N cats and M dogs, today there are P children visiting the zoo, each child has a like-animal and a dislike-animal, if the child's like-animal is a cat, then his/hers dislike-animal must be a dog, and vice versa.
Now the zoo administrator is removing some animals, if one child's like-animal is not removed and his/hers dislike-animal is removed, he/she will be happy. So the administrator wants to know which animals he should remove to make maximum number of happy children.
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Input
The input file contains multiple test cases, for each case, the first line contains three integers N <= 100, M <= 100 and P <= 500.
Next P lines, each line contains a child's like-animal and dislike-animal, C for cat and D for dog. (See sample for details)
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Output
For each case, output a single integer: the maximum number of happy children.
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Sample Input
1 1 2
C1 D1
D1 C1

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1 2 4
C1 D1
C1 D1
C1 D2
D2 C1
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Sample Output
1
3

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Hint
Case 2: Remove D1 and D2, that makes child 1, 2, 3 happy.
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Source
2011 Multi-University Training Contest 1 - Host by HNU
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Recommend
xubiao

分析:如果兩個小朋友滿足以下情況:1.A喜歡的是B討厭的.2.A討厭的是B喜歡的.此時這兩個小朋友肯定不能同時高興,那么就在他們之間連一條邊.只要求出此圖的最大獨立集即可.

      #include<stdio.h>
      
        

#include
      
      <
      
        string
      
      .h>


      
        int
      
      
         N,M,P;


      
      
        int
      
       match[
      
        600
      
      
        ];


      
      
        bool
      
       visit[
      
        600
      
      ],G[
      
        600
      
      ][
      
        600
      
      
        ];


      
      
        char
      
       sl[
      
        600
      
      ],sd[
      
        600
      
      
        ];


      
      
        int
      
       pl[
      
        600
      
      ],pd[
      
        600
      
      
        ];


      
      
        bool
      
       DFS(
      
        int
      
      
         k)

{

    
      
      
        for
      
       (
      
        int
      
       i=
      
        1
      
      ;i<=P;i++
      
        )

    
      
      
        if
      
       (G[k][i] && !
      
        visit[i])

    {

        visit[i]
      
      =
      
        1
      
      
        ;

        
      
      
        int
      
       t=
      
        match[i];

        match[i]
      
      =
      
        k;

        
      
      
        if
      
       (t==-
      
        1
      
       || DFS(t)) 
      
        return
      
      
        true
      
      
        ;

        match[i]
      
      =
      
        t;

    }

    
      
      
        return
      
      
        false
      
      
        ;

}


      
      
        int
      
      
         Max_match()

{

    
      
      
        int
      
       ans=
      
        0
      
      
        ;

    memset(match,
      
      -
      
        1
      
      ,
      
        sizeof
      
      
        (match));

    
      
      
        for
      
       (
      
        int
      
       i=
      
        1
      
      ;i<=P;i++
      
        )

    {

        memset(visit,
      
      
        0
      
      ,
      
        sizeof
      
      
        (visit));

        
      
      
        if
      
       (DFS(i)) ans++
      
        ;

    }

    
      
      
        return
      
      
         ans;

}


      
      
        int
      
      
         main()

{

    
      
      
        char
      
      
         tmp;

    
      
      
        int
      
      
         i,j;

    
      
      
        while
      
       (scanf(
      
        "
      
      
        %d%d%d
      
      
        "
      
      ,&N,&M,&P)!=
      
        EOF)

    {

        tmp
      
      =
      
        getchar();

        
      
      
        for
      
       (i=
      
        1
      
      ;i<=P;i++
      
        )

        {

            scanf(
      
      
        "
      
      
        %c%d %c%d
      
      
        "
      
      ,&sl[i],&pl[i],&sd[i],&
      
        pd[i]);

            tmp
      
      =
      
        getchar();

        }

        memset(G,
      
      
        0
      
      ,
      
        sizeof
      
      
        (G));

        
      
      
        for
      
       (i=
      
        1
      
      ;i<=P;i++
      
        )

         
      
      
        for
      
       (j=
      
        1
      
      ;j<=P;j++
      
        )

         
      
      
        if
      
       (i!=
      
        j)

         {

             
      
      
        if
      
       (pl[i]==pd[j] && sl[i]==sd[j]) G[i][j]=
      
        1
      
      
        ;

             
      
      
        if
      
       (pd[i]==pl[j] && sd[i]==sl[j]) G[i][j]=
      
        1
      
      
        ;

         }

        printf(
      
      
        "
      
      
        %d\n
      
      
        "
      
      ,P-Max_match()/
      
        2
      
      
        );

    }

    
      
      
        return
      
      
        0
      
      
        ;

}
      
    

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Cat VS Dog


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