UVA 11729 Commando War

本文探讨了一种指挥官战争背景下的任务分配问题,通过合理安排士兵的任务执行顺序,实现整个作战计划时间最短化的目标。文章提供了一个具体的算法实现方案,即按任务执行时间升序排列并依次执行。

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G

Commando  War

Input: Standard Input

Output: Standard Output

 

 

“Waiting for orders we held in the wood, word from the front never came

By evening the sound of the gunfire was miles away

Ah softly we moved through the shadows, slip away through the trees

Crossing their lines in the mists in the fields on our hands and our knees

And all that I ever, was able to see

The fire in the air, glowing red, silhouetting the smoke on the breeze”

 

There is a war and it doesn't look very promising for your country. Now it's time to act. You have a commando squad at your disposal and planning an ambush on an important enemy camp located nearby. You haveN soldiers in your squad. In your master-plan, every single soldier has a unique responsibility and you don't want any of your soldier to know the plan for other soldiers so that everyone can focus on his task only. In order to enforce this, you brief every individual soldier about his tasks separately and just before sending him to the battlefield. You know that every single soldier needs a certain amount of time to execute his job. You also know very clearly how much time you need to brief every single soldier. Being anxious to finish the total operation as soon as possible, you need to find an order of briefing your soldiers that will minimize the time necessary for all the soldiers to complete their tasks. You may assume that, no soldier has a plan that depends on the tasks of his fellows. In other words, once a soldier  begins a task, he can finish it without the necessity of pausing in between.

 

Input

 

There will be multiple test cases in the input file. Every test case starts with an integerN (1<=N<=1000), denoting the number of soldiers. Each of the following N lines describe a soldier with two integersB (1<=B<=10000) & J (1<=J<=10000). B seconds are needed to brief the soldier while completing his job needs J seconds. The end of input will be denoted by a case with N =0 . This case should not be processed.

 

Output

 

For each test case, print a line in the format, “Case X: Y”, where X is the case number & Y is the total number of seconds counted from the start of your first briefing till the completion of all jobs.

 

Sample Input                                               Output for Sample Input

3

2 5

3 2

2 1

3

3 3

4 4

5 5

0

Case 1: 8

Case 2: 15

 

 

 

你要交代你n个部下每人一项任务,交代第i个部下的交代时间是Bi分钟,他的执行时间是Ji分钟,不能同时交代两项任务。要求你有选择交代任务的顺序,求所有任务最快完成的时间。

将J从小到大排序,然后依次执行。

#include<stdio.h>
#include<algorithm>
using namespace std;
struct node
{
	int b,j;
}solider[1007];

int cmp(const node a,const node b)
{
	return a.j>b.j;
}
int main()
{
	int n,kase=1;
	while(scanf("%d",&n),n)
	{
		int i,j;
		for(i=0;i<n;i++)
		scanf("%d%d",&solider[i].b,&solider[i].j);
		sort(solider,solider+n,cmp);
		int ans=0,s=0;
		for(i=0;i<n;i++)
		{
			s+=solider[i].b;
			ans=max(ans,s+solider[i].j);
		}
		printf("Case %d: %d\n",kase++,ans);
	}
	return 0;
}


 

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