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1 | | -#include<stdio.h> |
| 1 | +/* |
| 2 | +The eight queens problem is the problem of placing eight queens on an 8×8 chessboard such that none of them attack one another |
| 3 | +(no two are in the same row, column, or diagonal). More generally, the n queens problem places n queens on an n×n chessboard. |
| 4 | +*/ |
| 5 | +#include <stdio.h> |
2 | 6 | void solutionFinder(int tot_queens); |
3 | | -void NQueenSolver(int queenPositions[],int tot_queens,int queenNum); |
4 | | -int isSafe(int queenPositions[],int tot_queens,int choice,int queenNum); |
| 7 | +void NQueenSolver(int queenPositions[], int tot_queens, int queenNum); |
| 8 | +int isSafe(int queenPositions[], int tot_queens, int choice, int queenNum); |
5 | 9 | #define SAFE 1 |
6 | 10 | #define UNSAFE 0 |
7 | | -void printBoard(int queenPositions[],int tot_queens); |
| 11 | +void printBoard(int queenPositions[], int tot_queens); |
8 | 12 | int main() |
9 | 13 | { |
10 | 14 | solutionFinder(8); |
11 | 15 | return 0; |
12 | 16 | } |
13 | 17 | void solutionFinder(int tot_queens) |
14 | 18 | { |
15 | | - int queenPositions[tot_queens]; |
16 | | - int ind; |
17 | | - for(ind=0; ind< tot_queens; ind++) |
18 | | - queenPositions[ind]=-1;//no queens placed at start |
19 | | - NQueenSolver(queenPositions,tot_queens,0); |
20 | | - |
| 19 | + int queenPositions[tot_queens]; |
| 20 | + int ind; |
| 21 | + for (ind = 0; ind < tot_queens; ind++) |
| 22 | + queenPositions[ind] = -1; //no queens placed at start |
| 23 | + NQueenSolver(queenPositions, tot_queens, 0); |
21 | 24 | } |
22 | | -void NQueenSolver(int queenPositions[],int tot_queens,int queenNum) |
| 25 | +void NQueenSolver(int queenPositions[], int tot_queens, int queenNum) |
23 | 26 | { |
24 | 27 | //choices are 0 to tot_queens-1 |
25 | 28 | int choice; |
26 | | - if(tot_queens==queenNum)// |
| 29 | + if (tot_queens == queenNum) // |
27 | 30 | { |
28 | | - printBoard(queenPositions,tot_queens); |
29 | | - getch(); |
30 | | - return; |
| 31 | + printBoard(queenPositions, tot_queens); |
| 32 | + getch(); |
| 33 | + return; |
31 | 34 | } |
32 | | - for(choice=0;choice<tot_queens;choice++) |
| 35 | + for (choice = 0; choice < tot_queens; choice++) |
33 | 36 | { |
34 | | - if(isSafe(queenPositions,tot_queens,choice,queenNum)==SAFE) |
| 37 | + if (isSafe(queenPositions, tot_queens, choice, queenNum) == SAFE) |
35 | 38 | { |
36 | 39 | //do certain things |
37 | | - queenPositions[queenNum]=choice; |
38 | | - NQueenSolver(queenPositions,tot_queens,queenNum+1); |
39 | | - //undo |
40 | | - queenPositions[queenNum]=-1; |
| 40 | + queenPositions[queenNum] = choice; |
| 41 | + NQueenSolver(queenPositions, tot_queens, queenNum + 1); |
| 42 | + //undo |
| 43 | + queenPositions[queenNum] = -1; |
41 | 44 | } |
42 | 45 | } |
43 | 46 | } |
44 | | -int isSafe(int queenPositions[],int tot_queens,int choice,int queenNum) |
| 47 | +int isSafe(int queenPositions[], int tot_queens, int choice, int queenNum) |
45 | 48 | { |
46 | | - int row,col; |
47 | | - //left top |
48 | | - for(row=queenNum-1,col=choice-1;row>=0 && col>=0 ;row--,col--) |
49 | | - if(queenPositions[row]==col) |
50 | | - return UNSAFE; |
51 | | - //top |
52 | | - for(row=queenNum-1,col=choice;row>=0 ;row--) |
53 | | - if(queenPositions[row]==col) |
54 | | - return UNSAFE; |
55 | | - //right top |
56 | | - for(row=queenNum-1,col=choice+1;row>=0 && col<tot_queens ;row--,col++) |
57 | | - if(queenPositions[row]==col) |
58 | | - return UNSAFE; |
59 | | - return SAFE; |
| 49 | + int row, col; |
| 50 | + //left top |
| 51 | + for (row = queenNum - 1, col = choice - 1; row >= 0 && col >= 0; row--, col--) |
| 52 | + if (queenPositions[row] == col) |
| 53 | + return UNSAFE; |
| 54 | + //top |
| 55 | + for (row = queenNum - 1, col = choice; row >= 0; row--) |
| 56 | + if (queenPositions[row] == col) |
| 57 | + return UNSAFE; |
| 58 | + //right top |
| 59 | + for (row = queenNum - 1, col = choice + 1; row >= 0 && col < tot_queens; row--, col++) |
| 60 | + if (queenPositions[row] == col) |
| 61 | + return UNSAFE; |
| 62 | + return SAFE; |
60 | 63 | } |
61 | | -void printBoard(int queenPositions[],int tot_queens) |
| 64 | +void printBoard(int queenPositions[], int tot_queens) |
62 | 65 | { |
63 | | - int row,col; |
64 | | - for(printf("\n"),row=0;row<tot_queens;row++,printf("\n")) |
65 | | - { |
66 | | - for(col= 0 ;col< tot_queens;col++) |
67 | | - { |
68 | | - if(queenPositions[row]==col) |
69 | | - printf(" Q "); |
70 | | - else |
71 | | - printf(" - "); |
72 | | - } |
73 | | - } |
| 66 | + int row, col; |
| 67 | + for (printf("\n"), row = 0; row < tot_queens; row++, printf("\n")) |
| 68 | + { |
| 69 | + for (col = 0; col < tot_queens; col++) |
| 70 | + { |
| 71 | + if (queenPositions[row] == col) |
| 72 | + printf(" Q "); |
| 73 | + else |
| 74 | + printf(" - "); |
| 75 | + } |
| 76 | + } |
74 | 77 | } |
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