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  • UVA750回溯法典例-八皇后

    文章代码选自UVA750-8 Queens Chess Problem的部分代码

    vj题目链接:https://vjudge.net/problem/UVA-750

    由于UVA中要求按照字典序输出,下面代码进行的特殊处理

    代码如下:

     1 #include<cstdio>
     2 #include<algorithm>
     3 #include<cstring>
     4 using namespace std;
     5 int rnum[9];//rnum[x]:x列皇后的行编号
     6 int solution[100];
     7 int cur=1;
     8 char aim[10];
     9 
    10 int pout()
    11 {
    12     sort(solution+1,solution+93);
    13     printf("{");
    14     int flag=0;
    15     for(int i=1;i<93;i++)
    16     {
    17         if(flag)printf(",");
    18         flag=1;
    19         printf("%d",solution[i]);
    20     }
    21     printf("};");
    22     //for(int i=1;i<93;i++)
    23     //    printf("%d->%d
    ",i,solution[i]);
    24 //    printf("SOLN        COLUMN
    ");
    25 //    printf(" #       1 2 3 4 5 6 7 8
    
    ");
    26 //    for(int i=1;i<93;i++)
    27 //    {
    28 //        printf("%2d      ",i);
    29 //        //
    30 //        sprintf(aim,"%d",solution[i]);
    31 //        //printf("%d->%d
    ",i,solution[i]);
    32 //        for(int k=0;k<8;k++)
    33 //            printf(" %c",aim[k]);
    34 //        printf("
    ");
    35 //    }
    36     return 0;
    37 }
    38 
    39 int solver(int c)
    40 {
    41     if(c==9)
    42     {//由于该问题的结果每一组只有八个数字,为方便打表这里组合成八位的int数
    43         int snum=0;
    44         for(int i=1;i<9;i++)
    45             snum=snum*10+(rnum[i]);
    46         solution[cur++]=snum;
    47         //printf("->%d
    ",snum);
    48     }
    49     else
    50     {
    51         for(int r=1;r<=8;r++)
    52         {
    53             rnum[c]=r;
    54             int ok=1;
    55             for(int nc=1;nc<c;nc++)
    56             {
    57                 //rnum[nc]行nc列  与  rnum[c]行c列
    58                 //检查每一个列,是否有与该皇后同行的存在
    59                 if(rnum[nc]==rnum[c]||rnum[nc]-nc==rnum[c]-c||rnum[nc]+nc==rnum[c]+c)
    60                     {ok=0;break;}
    61             }//for
    62             if(ok)solver(c+1);
    63         }//for
    64     }//else
    65     return 0;
    66 }
    67 
    68 int main()
    69 {
    70     memset(rnum,0,sizeof(rnum));
    71     memset(solution,0,sizeof(solution));
    72     memset(aim,0,sizeof(aim));
    73     solver(1);
    74     pout();
    75     return 0;
    76 }

    运行上述代码,得到了结果如下:

    {15863724,16837425,17468253,17582463,24683175,25713864,25741863,26174835,26831475,27368514,27581463,28613574,31758246,35281746,35286471,35714286,35841726,36258174,36271485,36275184,36418572,36428571,36814752,36815724,36824175,37285146,37286415,38471625,41582736,41586372,42586137,42736815,42736851,42751863,42857136,42861357,46152837,46827135,46831752,47185263,47382516,47526138,47531682,48136275,48157263,48531726,51468273,51842736,51863724,52468317,52473861,52617483,52814736,53168247,53172864,53847162,57138642,57142863,57248136,57263148,57263184,57413862,58413627,58417263,61528374,62713584,62714853,63175824,63184275,63185247,63571428,63581427,63724815,63728514,63741825,64158273,64285713,64713528,64718253,68241753,71386425,72418536,72631485,73168524,73825164,74258136,74286135,75316824,82417536,82531746,83162574,84136275};

    将其设计为数组初始化的形式,再按照UVA题目写程序:

     1 #include<cstdio>
     2 #include<algorithm>
     3 #include<cstring>
     4 using namespace std;//下面的初始化直接将结果输入程序,减少时间
     5 int cyc[]={15863724,16837425,17468253,17582463,24683175,25713864,25741863,26174835,26831475,27368514,27581463,28613574,31758246,35281746,35286471,35714286,35841726,36258174,36271485,36275184,36418572,36428571,36814752,36815724,36824175,37285146,37286415,38471625,41582736,41586372,42586137,42736815,42736851,42751863,42857136,42861357,46152837,46827135,46831752,47185263,47382516,47526138,47531682,48136275,48157263,48531726,51468273,51842736,51863724,52468317,52473861,52617483,52814736,53168247,53172864,53847162,57138642,57142863,57248136,57263148,57263184,57413862,58413627,58417263,61528374,62713584,62714853,63175824,63184275,63185247,63571428,63581427,63724815,63728514,63741825,64158273,64285713,64713528,64718253,68241753,71386425,72418536,72631485,73168524,73825164,74258136,74286135,75316824,82417536,82531746,83162574,84136275};
     6 char aim[99][10];
     7 char psd[10];
     8 int pre()
     9 {
    10     memset(psd,0,sizeof(psd));
    11     for(int i=0;i<92;i++)
    12     {
    13         sprintf(&aim[i][1],"%d",cyc[i]);
    14         aim[i][9]='';//重新分配成数组,方便检索
    15         //printf("%s
    ",&aim[i][1]);
    16     }
    17     return 0;
    18 }
    19 
    20 int main()
    21 {
    22     int n;
    23     int x,y;
    24     pre();
    25     scanf("%d",&n);
    26     while(n--)
    27     {
    28         scanf("%d%d",&x,&y);
    29         printf("SOLN       COLUMN
    ");
    30         printf(" #      1 2 3 4 5 6 7 8
    
    ");
    31         int kase=0;
    32         char m=x+'0';
    33         for(int i=0;i<92;i++)
    34         {
    35             if(aim[i][y]==m)
    36             {
    37                 printf("%2d     ",++kase);
    38                 for(int k=1;k<9;k++)
    39                     printf(" %c",aim[i][k]);
    40                 printf("
    ");
    41             }
    42         }
    43         if(n!=0)printf("
    ");//注意空行问题,最后一组的最后没有空行
    44     }
    45     return 0;
    46 }
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  • 原文地址:https://www.cnblogs.com/savennist/p/12201028.html
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