uva 11729 Commando War（贪心算法）

                         uva 11729 Commando War

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

 

题目大意：第一行输入数据n代表有n组数据。数据分为两部分B和J，B代表发布命令的时间，J代表执行命令的时间。要求求出完成所有任务的最短时间。

解题思路：利用贪心算法，将数据以J的大小排列，先发布执行命令时间长的命令。每发布完一个命令，就及时计算当前最长所需时间，如果当前最长所需时间大于之前的最长所需时间，就更新最长时间。

<span style="color:#000000;">#include<stdio.h>#include<algorithm>using namespace std;structBJ {int B;int J;};int cmp(BJ a, BJ b) {return (a.J > b.J);}int main() {int n, casecnt = 1;while (scanf("%d", &n) == 1, n) {int temp = n, cnt = 0;BJ bj[10005];while (temp--) {scanf("%d", &bj[cnt].B);scanf("%d", &bj[cnt++].J);} sort(bj, bj + cnt, cmp);int sum1 = 0, sum2 = 0, i;for (i = 0; i < cnt; i++) {sum1 += bj[i].B;if (sum2 < sum1 + bj[i].J) {sum2 = sum1 + bj[i].J;}}printf("Case %d: %d\n", casecnt++, sum2);}return 0;}</span>