UV 11214 Guarding the Chessboard, 11214 chessboard

Source: Internet
Author: User

UV 11214 Guarding the Chessboard, 11214 chessboard

Question:

The Queen's defense scope is the horizontal, vertical, and diagonal lines where he is located. The # on the map is the place where the flag can be placed. Ask at least a few queens to defend all #.

Analysis:

The vis array has four dimensions, corresponding to rows, columns, primary diagonal lines, and secondary diagonal lines.

Code:

  

# Include <iostream>
# Include <cstring>
# Include <cstdio>
# Include <algorithm>
Using namespace std;
Int map [15] [15];
Int vis [4] [30];
Int n, m;
Int maxn;
Int kase;
Int same () // determines whether it can defend all #
{
Int I, j, k;
For (I = 0; I <n; I ++)
For (j = 0; j <m; j ++)
If (map [I] [j] &! Vis [0] [I] &! Vis [1] [j] &! Vis [2] [I + j] &! Vis [3] [n + j-I])
Return 0;
Return 1;
}
Int dfs (int d, int cur, int l) // d indicates the number of Queens, cur indicates the Queen is placed there, cur/m indicates the abscissa, and cur % m indicates the ordinate, l represents a total of several queens.
{
Int I, j, k;
If (d = l)
{
If (same ())
{
Printf ("Case % d: % d \ n", ++ kase, d );
Return 1;
}
Return 0;
}
Else
{
For (I = cur; I <n * m; I ++)
{
Int x = I/m, y = I % m;
Int tmp1 = vis [0] [x], tmp2 = vis [1] [y], tmp3 = vis [2] [x + y], tmp4 = vis [3] [n-x + y];
Vis [0] [x] = vis [1] [y] = vis [2] [x + y] = vis [3] [n-x + y] = 1;
If (dfs (d + 1, I, l ))
Return 1;
Vis [0] [x] = tmp1, vis [1] [y] = tmp2, vis [2] [x + y] = tmp3, vis [3] [n-x + y] = tmp4;
}
}
Return 0;
}
Int main ()
{
Kase = 0;
While (scanf ("% d", & n), n)
{
Scanf ("% d", & m );
Int I, j;

Memset (vis, 0, sizeof (vis ));
Memset (map, 0, sizeof (map ));
String s;
For (I = 0; I <n; I ++)
{
Cin> s;
For (j = 0; j <m; j ++)
{
If (s [j] = 'X ')
Map [I] [j] = 1;
}
}
For (maxn = 0; maxn ++)
{
Memset (vis, 0, sizeof (vis ));
If (dfs (0, 0, maxn ))
{
Break;
}
}
}
}

Related Article

Contact Us

The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion; products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the content of the page makes you feel confusing, please write us an email, we will handle the problem within 5 days after receiving your email.

If you find any instances of plagiarism from the community, please send an email to: info-contact@alibabacloud.com and provide relevant evidence. A staff member will contact you within 5 working days.

A Free Trial That Lets You Build Big!

Start building with 50+ products and up to 12 months usage for Elastic Compute Service

  • Sales Support

    1 on 1 presale consultation

  • After-Sales Support

    24/7 Technical Support 6 Free Tickets per Quarter Faster Response

  • Alibaba Cloud offers highly flexible support services tailored to meet your exact needs.