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 N 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 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). 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

【題目翻譯】：

【思路】：

貪心算法：處理時間長的先交代。按照J從大到小的順序給任務排序，依次交代。

【代碼】：

1. /*********************************
2. * 日期：2013-4-20
3. * 作者：SJF0115
4. * 題號: 題目11729 - Commando War
5. * 來源：http://uva.onlinejudge.org/index.php?option=com_onlinejudge&Itemid=8&category=117&page=show_problem&problem=2829
6. * 結果：AC
7. * 來源：UVA
8. * 總結：
9. **********************************/
10. #include
11. #include
13. typedef struct Time{
14. //交代時間
15. int B;
16. //處理時間
17. int J;
18. }Time;
20. //排序函數
21. int cmp(const void *a,const void *b){
22. struct Time * c = (Time *)a;
23. struct Time * d = (Time *)b;
24. return d->J - c->J;
25. }
27. Time T[1001];
29. int main ()
30. {
31. int i,N,Case = 1;
32. //freopen("C:\\Users\\XIAOSI\\Desktop\\acm.txt","r",stdin);
33. while(scanf("%d",&N) != EOF && N != 0){
34. //N個士兵
35. for(i = 0;i < N;i++){
36. scanf("%d %d",&T[i].B,&T[i].J);
37. }
38. //按處理時間排序
39. qsort(T,N,sizeof(T[0]),cmp);
40. int startTime = 0;
41. int endTime = 0;
42. for(i = 0;i < N;i++){
43. //開始執行時間
44. startTime += T[i].B;
45. //最晚結束時間
46. if(endTime < T[i].J + startTime){
47. endTime = T[i].J + startTime;
48. }
49. }
50. printf("Case %d: %d\n",Case,endTime);
51. Case++;
52. }
53. return 0;
54. }
56.