HDU 4499 Cannon

题目链接：http://acm.hdu.edu.cn/showproblem.php?pid=4499

Cannon

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65535/65535 K (Java/Others)
Total Submission(s): 518    Accepted Submission(s): 300

Problem Description

In Chinese Chess, there is one kind of powerful chessmen called Cannon. It can move horizontally or vertically along the chess grid. At each move, it can either simply move to another empty cell in the same line without any other chessman along the route or perform an eat action. The eat action, however, is the main concern in this problem.
An eat action, for example, Cannon A eating chessman B, requires two conditions:
1、A and B is in either the same row or the same column in the chess grid.
2、There is exactly one chessman between A and B.
Here comes the problem.
Given an N x M chess grid, with some existing chessmen on it, you need put maximum cannon pieces into the grid, satisfying that any two cannons are not able to eat each other. It is worth nothing that we only account the cannon pieces you put in the grid, and no two pieces shares the same cell.

 

Input

There are multiple test cases.
In each test case, there are three positive integers N, M and Q (1<= N, M<=5, 0<=Q <= N x M) in the first line, indicating the row number, column number of the grid, and the number of the existing chessmen.
In the second line, there are Q pairs of integers. Each pair of integers X, Y indicates the row index and the column index of the piece. Row indexes are numbered from 0 to N-1, and column indexes are numbered from 0 to M-1. It guarantees no pieces share the same cell.

 

Output

There is only one line for each test case, containing the maximum number of cannons.

 

Sample Input

4 4 2 1 1 1 2 5 5 8 0 0 1 0 1 1 2 0 2 3 3 1 3 2 4 0 

 

Sample Output

8 9

 

Source

2013 ACM-ICPC吉林通化全国邀请赛——题目重现 

此题乃是1045  Fire Net的 升级版

估计命题人也是根据这道题改编的吧。

/*题意:
给你一个棋盘,最大是5*5的,问你最多可以放多少个炮,炮和炮之间不可以相互攻击,
这块只的是只能走一步,不存在两个炮中间三个棋子的情况..

*/

做过1045就很容易解决这道题了，就是在判断合法性的时候稍微写写就OK了

下面是AC的代码

#include<iostream>#include<cstring>using namespace std;const int maxn=15;int Map[maxn][maxn],n,m,q,ans;bool judge(int x,int y){    int i,j;    for(i=x-1;i>=0;i--)        if(Map[i][y]!=0) break;    for(j=i-1;j>=0;j--)        if(Map[j][y]==2) return 0;        else if(Map[j][y]==1) break;    for(i=y-1;i>=0;i--)        if(Map[x][i]!=0) break;    for(j=i-1;j>=0;j--)        if(Map[x][j]==2) return 0;        else if(Map[x][j]==1) break;    return 1;}void dfs(int d,int cnt){    if(d==n*m)    {        ans=max(ans,cnt);        return ;    }    int x=d/m,y=d%m;    if(judge(x,y)&&Map[x][y]==0)    {        Map[x][y]=2;        dfs(d+1,cnt+1);        Map[x][y]=0;    }    dfs(d+1,cnt);}int main(){    while(cin>>n>>m>>q)    {        memset(Map,0,sizeof(Map));        while(q--)        {            int x,y;            cin>>x>>y;            Map[x][y]=1;        }        ans=0;        dfs(0,0);        cout<<ans<<endl;    }    return 0;}