UVA - 232 Crossword Answers

本文介绍了一种填字游戏解析器的设计与实现方法。该解析器能够读取已解决的填字游戏,并输出游戏中的横向和纵向单词列表。文章详细说明了如何识别填字游戏网格中的有效空白方格并对其进行编号,以便正确地提取单词。

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A crossword puzzle consists of a rectangular grid of black andwhite squares and two lists of definitions (or descriptions).

One list of definitions is for “words” to be written left toright across white squares in the rows and the other list is forwords to be written down white squares in the columns. (A word is a sequence of alphabetic characters.)

To solve a crossword puzzle, one writes the words corresponding to the definitions on the white squares of the grid.

The definitions correspond to the rectangular grid by  means of sequential integers on “eligible” white squares.
White squares with black squares immediately to the left or  above them are “eligible.” White squares with no squares either  immediately to the left or above are also “eligible.” No other squares are numbered. All of the squares on the first row are numbered.
The numbering starts with 1 and continues consecutively across white squares of the first row, then across the eligible white squares of the second row, then across the eligible white squares of the third row and so on across all of the rest of the rows of the puzzle. The picture below illustrates a rectangular crossword puzzle grid with appropriate numbering.
An “across” word for a definition is written on a sequence of white squares in a row starting on a numbered square that does not follow another white square in the same row.
The sequence of white squares for that word goes across the row of the numbered square, ending immediately before the next black square in the row or in the rightmost square of the row.
A “down” word for a definition is written on a sequence of white squares in a column starting on a
numbered square that does not follow another white square in the same column.
The sequence of white squares for that word goes down the column of the numbered square, ending immediately before the next black square in the column or in the bottom square of the column.
Every white square in a correctly solved puzzle contains a letter.

You must write a program that takes several solved crossword puzzles as input and outputs the lists of across and down words which constitute the solutions.


Input
Each puzzle solution in the input starts with a line containing two integers r and c (1 ≤ r ≤ 10 and 1 ≤ c ≤ 10), where r (the first number) is the number of rows in the puzzle and c (the second number) is the number of columns.
The r rows of input which follow each contain c characters (excluding the end-of-line) which describe  the solution. Each of those c characters is an alphabetic character which is part of a word or the  character ‘*’, which indicates a black square.
The end of input is indicated by a line consisting of the single number ‘0’.
Output
Output for each puzzle consists of an identifier for the puzzle (puzzle #1:, puzzle #2:, etc.) and the  list of across words followed by the list of down words. Words in each list must be output one-per-line  in increasing order of the number of their corresponding definitions.
The heading for the list of across words is ‘Across’. The heading for the list of down words is ‘Down’.
In the case where the lists are empty (all squares in the grid are black), the ‘Across’ and ‘Down’  headings should still appear.
Separate output for successive input puzzles by a blank line.
Sample Input
2 2
AT
*O
6 7
AIM*DEN
*ME*ONE
UPON*TO
SO*ERIN
*SA*OR*
IES*DEA
0
Sample Output
puzzle #1:
Across
1.AT
3.O
Down
1.A
2.TO
puzzle #2:
Across
1.AIM
4.DEN
7.ME
8.ONE
9.UPON
11.TO
12.SO
13.ERIN
15.SA
17.OR
18.IES
19.DEA
Down
1.A
2.IMPOSE
3.MEO
4.DO
5.ENTIRE
6.NEON
9.US
10.NE
14.ROD
16.AS
18.I

20.A

黑格是不可通过的,所有位于第一行和第一列的白格,以及上侧或者左侧紧靠着黑格的白格,都属于起始格,首先对这些白格编号,然后分别输出所有横向单词和竖向单词。

[cpp]  view plain  copy
  1. #include <iostream>  
  2. #include<cstring>  
  3. #include<cstdio>  
  4. #define maxn 11  
  5. using namespace std;  
  6. char s[maxn][maxn];  
  7. int n[maxn][maxn],u[maxn][maxn];  
  8. int main(){  
  9. int num,kase=0;  
  10. int r,c;  
  11. int flag=0;  
  12. while(1)  
  13. {  
  14. cin>>r;  
  15. if(!r) break;  
  16. cin>>c;  
  17. memset(n,0,sizeof(n));  
  18. memset(u,0,sizeof(u));  
  19. memset(s,0,sizeof(s));  
  20. num=0;  
  21. int ci,cj;  
  22. int i=r;  
  23. for(int j=0;j<=c;j++)  
  24. n[i][j]=-1;  
  25. int j=c;  
  26. for(int i=0;i<=r;i++)//标记边界点  
  27.     n[i][j]=-1;  
  28. for(int i=0;i<r;i++)  
  29.     for(int j=0;j<c;j++)  
  30. {  
  31.     cin>>s[i][j];  
  32. }  
  33. for(int i=0;i<r;i++)//标记黑格  
  34.     for(int j=0;j<c;j++)  
  35.     {  
  36.         if(s[i][j]=='*')  
  37.             n[i][j]=-1;  
  38.     }  
  39. for(int i=0;i<r;i++)//对于符合条件的起始格编号  
  40.     for(int j=0;j<c;j++)  
  41.     {  
  42.         if(n[i][j]!=-1)  
  43.             if(i==0||j==0||n[i-1][j]==-1||n[i][j-1]==-1)  
  44.             n[i][j]=++num;  
  45.     }  
  46. if(flag) cout<<endl;  
  47. flag=1;  
  48.     cout<<"puzzle #"<<++kase<<':'<<endl;  
  49.     cout<<"Across"<<endl;  
  50. for(int i=0;i<r;i++)  
  51.     for(int j=0;j<c;j++)  
  52.     {  
  53.         if(n[i][j]>=0&&!u[i][j])  
  54.         {    printf("%3d",n[i][j]);  
  55.             cout<<'.'<<s[i][j];  
  56.         u[i][j]=1;  
  57.         ci=i,cj=j;//防止直接处理i和j影响循环的进行  
  58.             while(n[ci][cj+1]>=0)//如果右边有数,那么向右延伸  
  59.         {  
  60.             cout<<s[ci][cj+1];  
  61.             u[ci][cj+1]=1;  
  62.             cj++;  
  63.         }  
  64.         cout<<endl;  
  65.         }  
  66.     }  
  67.     memset(u,0,sizeof(u));  
  68.  cout<<"Down"<<endl;  
  69.     for(int i=0;i<r;i++)  
  70.     for(int j=0;j<c;j++)  
  71.     {  
  72.         if(n[i][j]>=0&&!u[i][j])  
  73.         {   printf("%3d",n[i][j]);  
  74.             cout<<'.'<<s[i][j];  
  75.         u[i][j]=1;  
  76.         ci=i,cj=j;  
  77.             while(n[ci+1][cj]>=0)  
  78.         {  
  79.             cout<<s[ci+1][cj];  
  80.             u[ci+1][cj]=1;  
  81.             ci++;  
  82.         }  
  83.         cout<<endl;  
  84.         }  
  85.     }  
  86. }  
  87. return 0;  
  88. }  
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