贪心问题

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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 have Nsoldiers 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 integer N (1<=N<=1000), denoting the number of soldiers. Each of the following N lines describe a soldier with two integers B (1<=B<=10000) J (1<=J<=10000)seconds are needed to brief the soldier while completing his job needsseconds. 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

 

#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;  }  

 

 

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。

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