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NC51275. Machine Schedule

描述

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 , likewise machine B has m kinds of working modes, . 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.

输入描述

The input file for this program consists of several configurations. 
The first line of one configuration contains three positive integers: and
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.

输出描述

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

示例1

输入:

5 5 10
0 1 1
1 1 2
2 1 3
3 1 4
4 2 1
5 2 2
6 2 3
7 2 4
8 3 3
9 4 3
0

输出:

3

原站题解

上次编辑到这里,代码来自缓存 点击恢复默认模板

C++14(g++5.4) 解法, 执行用时: 4ms, 内存消耗: 376K, 提交时间: 2020-08-14 14:55:49

#include<bits/stdc++.h>
using namespace std;
const int N = 110;
int n, m, k, f[N], ans;
bool v[N];
vector<int>e[N];

bool dfs(int x) {
	for (int i = 0; i < e[x].size(); ++i) {
		int y = e[x][i];
		if (v[y])continue;
		v[y] = true;
		if (!f[y] || dfs(f[y])) {
			f[y] = x;
			return 1;
		}
	}
	return 0;
}

int main() {
	//freopen("in.txt", "r", stdin);
	while (cin >> n && n) {
		cin >> m >> k;
		for (int i = 0; i < n; ++i)e[i].clear();
		for (int i = 0; i < k; ++i) {
			int x, y;
			cin >> i >> x >> y;
			if (x && y)e[x].push_back(y);
		}
		memset(f, 0, sizeof f);
		ans = 0;
		for (int i = 1; i < n; ++i) {
			memset(v, 0, sizeof v);
			ans += dfs(i);
		}
		cout << ans << endl;
	}
}

C++ 解法, 执行用时: 5ms, 内存消耗: 436K, 提交时间: 2022-04-15 21:23:59

#include<bits/stdc++.h>
using namespace std;
int n,m,k,mapn[101][101],linker[101],used[101],op,x,y;
bool dfs(int u){
    for(int v=0;v<m;v++)if(mapn[u][v]&&!used[v]){used[v]=true;if(linker[v]==-1||dfs(linker[v])){linker[v]=u;return 1;}}
    return 0;
}
int main(){
    while(cin>>n&&n){
        memset(mapn,0,sizeof mapn);
        cin>>m>>k;
        for(int i=0;i<k;i++){cin>>op>>x>>y;if(x>0&&y>0)mapn[x][y]=1;}
        int res=0;
        memset(linker,-1,sizeof linker);
        for(int u=0;u<n;u++){memset(used,0,sizeof used);if(dfs(u))res++;}
        cout<<res<<"\n";
    }
    return 0;
}

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