hdu 1150 Machine Schedule（二分匹配，匈牙利算法）

As we all know, machine scheduling is a very classical problem in computer science and has been studied for a very long history. Scheduling problems differ widely in the nature of the constraints that must be satisfied and the type of schedule desired. Here we consider a 2-machine scheduling problem. 

There are two machines A and B. Machine A has n kinds of working modes, which is called mode_0, mode_1, …, mode_n-1, likewise machine B has m kinds of working modes, mode_0, mode_1, … , mode_m-1. At the beginning they are both work at mode_0.

For k jobs given, each of them can be processed in either one of the two machines in particular mode. For example, job 0 can either be processed in machine A at mode_3 or in machine B at mode_4, job 1 can either be processed in machine A at mode_2 or in machine B at mode_4, and so on. Thus, for job i, the constraint can be represent as a triple (i, x, y), which means it can be processed either in machine A at mode_x, or in machine B at mode_y. 

Obviously, to accomplish all the jobs, we need to change the machine's working mode from time to time, but unfortunately, the machine's working mode can only be changed by restarting it manually. By changing the sequence of the jobs and assigning each job to a suitable machine, please write a program to minimize the times of restarting machines. 

Input

The input file for this program consists of several configurations. The first line of one configuration contains three positive integers: n, m (n, m < 100) and k (k < 1000). The following k lines give the constrains of the k jobs, each line is a triple: i, x, y. 

The input will be terminated by a line containing a single zero. 

Output

The output should be one integer per line, which means the minimal times of restarting machine. 

Sample Input

5 5 100 1 11 1 22 1 33 1 44 2 15 2 26 2 37 2 48 3 39 4 30

Sample Output

3

题意：

两种机器分别有不同的工作模式，每一项任务都可以用两种机器中的一种来完成， 比如（0， 1 ， 2）表示第0个任务可以由A机器的 1 模式，或者由B机器的 2 模式来完成， 每次机器切换模式都需要重启， 问最少重启几次可以完成所有的任务。

思路：

第一次接触二分匹配， 套用了模板， 用邻接矩阵记录了两台机器的任务关系。

#include<iostream>#include<cstdio>#include<cstring>using namespace std;const int mx = 110;int ma[mx][mx], vis[mx], match[mx];int n, m , k;bool dfs(int u){for(int v = 1; v <= m; v++){if(ma[u][v] && !vis[v]){vis[v] = 1;if(match[v] == -1 || dfs(match[v])){match[v] = u;return 1;}}}return 0;}int main(){while(scanf("%d", &n) && n){scanf("%d%d", &m, &k);int a, b, te, cnt =0;memset(ma, 0, sizeof(ma));memset(match, -1, sizeof(match));while(k--){scanf("%d%d%d", &te, &a, &b);ma[a][b] = 1;}for(int i = 1; i <= n; i++){memset(vis, 0, sizeof(vis));if(dfs(i)) cnt++;}printf("%d\n", cnt);}}