POJ 1321 Checkerboard Problem (search)

Source: Internet
Author: User

Title Link: POJ 1321 checkerboard Problem



Time Limit: 1000MS Memory Limit: 10000K
Total Submissions: 28825 Accepted: 14276

Description

In a given shape of the chessboard (the shape may be irregular) on the top of the pieces, chess pieces no difference. If you need to place any of the two pieces in the same row or column in the chessboard, please program the chessboard with a given shape and size, and put all the feasible arrangement C for the K pieces.

Input

The input contains multiple sets of test data.
The first row of each set of data is two positive integers, n K, separated by a space, indicating that the chessboard will be described in a n*n matrix and the number of pieces to be placed. N <= 8, K <= N
When 1-1 indicates the end of the input.
The next n lines describe the shape of the chessboard: N characters per line, where # represents the board area. Represents an empty area (the data guarantees that no extra blank lines or blank columns appear).

Output

For each set of data, give a line of output, the output is placed in the number of programs C (Data Assurance c<2^31).

Sample Input

2 #.. #4 4...#. #.. #.. #...-1-1

Sample Output

21st


A search for the topic, there is open two array dx[],dy[], to search for the stereotype thinking, in fact, that is used to walk the maze.


The title requires the selection of the pieces do not walk, different columns, so we can search a row, found the # go straight to the next line

This first guarantee the different lines, and then open a vis "" array, used to record the number of pieces in the column, deep search can be.


"Source Code"


#include <cstdio> #include <iostream> #include <cstring>using namespace Std;int N,k,ans;char map[10][ 10];bool vis[10];void dfs (int cur,int cnt) {if (cnt==k) {ans++; return;} if (cur>n)  //If more than the last line of return, for (; cur<=n;cur++)//Start search for (int j=1;j<=n;j++) {if (map[cur][j]== ' # ') starting from the first row &&!vis[j]) {Vis[j]=1;dfs (cur+1,cnt+1); vis[j]=false;//backtracking}}}int main () {while (scanf ("%d%d", &n,&k)! = Eof&&n!=-1&&k!=-1) {memset (vis,0,sizeof (VIS)); for (int. i=1;i<=n;i++) for (int j=1;j<=n;j++) { scanf ("%c", &map[i][j]);} Ans = 0;dfs (1,0);p rintf ("%d\n", ans); return 0;}



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POJ 1321 Checkerboard Problem (search)

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