Given the relations of all the activities of a project, you are supposed to find the earliest completion time of the project.

Input Specification:

Each input file contains one test case. Each case starts with a line containing two positive integers N (≤), the number of activity check points (hence it is assumed that the check points are numbered from 0 to N−1), and M, the number of activities. Then M lines follow, each gives the description of an activity. For the i-th activity, three non-negative numbers are given: S[i]E[i], and L[i], where S[i] is the index of the starting check point, E[i] of the ending check point, and L[i]the lasting time of the activity. The numbers in a line are separated by a space.

Output Specification:

For each test case, if the scheduling is possible, print in a line its earliest completion time; or simply output "Impossible".

Sample Input 1:

9 12
0 1 6
0 2 4
0 3 5
1 4 1
2 4 1
3 5 2
5 4 0
4 6 9
4 7 7
5 7 4
6 8 2
7 8 4

Sample Output 1:

18

Sample Input 2:

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

Sample Output 2:

Impossible
#include<cstdio>
#include<queue>
using namespace std;
const int maxn = ;
int map[maxn][maxn],d[maxn],indegree[maxn];
int main(){
int n,m;
scanf("%d%d",&n,&m);
for(int i = ; i < n; i++){
d[i] = -;
indegree[i] = ;
for(int j = ; j < n; j++){
map[i][j] = map[j][i] = -;
}
}
int u,v,w;
for(int i = ; i < m; i++){
scanf("%d%d%d",&u,&v,&w);
map[u][v] = w;
indegree[v]++;
}
queue<int> q;
for(int i = ; i < n; i++){
if(!indegree[i]){
q.push(i);
d[i] = ;
}
}
int cur;
while(!q.empty()){
cur = q.front();
q.pop();
for(int i = ; i < n; i++){
if(map[cur][i] != -){
indegree[i]--;
if(d[cur] + map[cur][i] > d[i]){
d[i] = d[cur] + map[cur][i];
}
if(!indegree[i]){
q.push(i);
}
}
}
}
int maxCost = -;
int i;
for(i = ; i < n; i++){
if(indegree[i]) break;
if(d[i] > maxCost) maxCost = d[i];
}
if(i == n) printf("%d",maxCost);
else printf("Impossible");
return ;
}

08-图8 How Long Does It Take (25 分的更多相关文章

  1. PAT A1142 Maximal Clique (25 分)——图

    A clique is a subset of vertices of an undirected graph such that every two distinct vertices in the ...

  2. 7-8 哈利·波特的考试(25 分)(图的最短路径Floyd算法)

    7-8 哈利·波特的考试(25 分) 哈利·波特要考试了,他需要你的帮助.这门课学的是用魔咒将一种动物变成另一种动物的本事.例如将猫变成老鼠的魔咒是haha,将老鼠变成鱼的魔咒是hehe等等.反方向变 ...

  3. PAT 甲级 1013 Battle Over Cities (25 分)(图的遍历,统计强连通分量个数,bfs,一遍就ac啦)

    1013 Battle Over Cities (25 分)   It is vitally important to have all the cities connected by highway ...

  4. PAT A1134 Vertex Cover (25 分)——图遍历

    A vertex cover of a graph is a set of vertices such that each edge of the graph is incident to at le ...

  5. PAT A1021 Deepest Root (25 分)——图的BFS,DFS

    A graph which is connected and acyclic can be considered a tree. The hight of the tree depends on th ...

  6. PAT A1013 Battle Over Cities (25 分)——图遍历,联通块个数

    It is vitally important to have all the cities connected by highways in a war. If a city is occupied ...

  7. L2-023 图着色问题 (25 分)vector

    图着色问题是一个著名的NP完全问题.给定无向图,,问可否用K种颜色为V中的每一个顶点分配一种颜色,使得不会有两个相邻顶点具有同一种颜色? 但本题并不是要你解决这个着色问题,而是对给定的一种颜色分配,请 ...

  8. PAT A1122 Hamiltonian Cycle (25 分)——图遍历

    The "Hamilton cycle problem" is to find a simple cycle that contains every vertex in a gra ...

  9. PAT A1150 Travelling Salesman Problem (25 分)——图的遍历

    The "travelling salesman problem" asks the following question: "Given a list of citie ...

  10. 1013 Battle Over Cities (25 分)(图的遍历or并查集)

    这题用并查集或者dfs都可以做 dfs #include<bits/stdc++.h> using namespace std; ; bool mp[N][N]; int n,m,k; b ...

随机推荐

  1. ACM学习历程—HDU4746 Mophues(莫比乌斯)

    Description As we know, any positive integer C ( C >= 2 ) can be written as the multiply of some ...

  2. OpenStack、CloudStack、Eucalyptus和vCloud Director四大主流云平台怎么选?

    软件产品开发公司Altoros Systems的IT基础设施设计师Vadim Truksha在美国<网络世界>上发表一篇文章,详细对比了CloudStack.Eucalyptus.vClo ...

  3. C语言计算日期间隔天数的经典算法解析

    #include <stdio.h> #include <stdlib.h> int day_diff(int year_start, int month_start, int ...

  4. ES6学习之Generator函数

    概念:可以把Generator 函数理解成状态机(封装了多个内部状态)或者是一个遍历器对象生成函数 写法:Generator函数的定义跟普通函数差不多,只是在function关键字后面加了一个星号 f ...

  5. 修改sharepoint列表样式

    1.将sharepoint 的样式修改为阴影 2.用designer打开列表的AllItems.aspx文件,将下面的样式拷贝到里面     <style type="text/css ...

  6. .net 缓存之文件缓存依赖

    CaCheHelp 类中代码如下: #region 根据键从缓存中读取保持的数据 /// <summary> /// 根据键从缓存中读取保持的数据 /// </summary> ...

  7. day02 秘钥生成,免密访问命令

    hadoop免密登陆: 生成秘钥: ssh-keygen -t dsa -P '' -f ~/.ssh/id_dsa cat ~/.ssh/id_dsa.pub >> ~/.ssh/aut ...

  8. XML解析代码课堂讲解实例

    //获取所有的子元素,不包括回车 package com.dom4jDemo; import java.io.File; import java.util.List; import org.dom4j ...

  9. IPSec方案部署(多业务场景)

    技术点详解—IPSec方案部署 通过前面几期的介绍可以发现IPSec所涉及的参数很多,在具体方案部署过程中有许多灵活选择的地方,本期专栏就专门对IPSec在几种典型环境中的方案部署进行介绍. 一.   ...

  10. SharePoint 2013上传AI格式文件,再次下载后变成了PS格式文件

    问题: SharePoint 2013上传AI格式文件,再次下载后变成了PS格式文件 需要下载副本才能显示AI格式 解决办法有两个: 第一种,在客户端机器1. Click Start, click R ...