[Ultraviolet A] 11729-commando war

"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 haveNSoldiers 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.

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).BSeconds are needed to brief the soldier while completing his job needsJSeconds. The end of input will be denoted by a caseN = 0.This case shoshould 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.

Question: greedy. Because B must be all continuous addition, the problem lies in the order of J. Greedy idea: first arrange the J project and update the sum of time.

Code:

 1 #include<cstdio> 2 #include<cstring> 3 #include<cmath> 4 #include<limits> 5 #include<stdbool.h> 6 #include<cstdlib> 7 #include<algorithm> 8  9 #define rep(i,a,b)  for(i=(a);i<=(b);i++)10 #define red(i,a,b)  for(i=(a);i>=(b);i--)11 #define clr(x,y)    memset(x,y,sizeof(x))12 #define sqr(x)      ((x)*(x))13 14 using namespace std;15 16 int i,j,x,n,p1,p2,T,17     a[1010],b[1010];18 19 void pre()20 {21     clr(a,0);22     clr(b,0);23     p1=0;p2=0;24 }25 26 void sort(int head,int tail)27 {28     int i,j,x,y;29     30     i=head; j=tail;31     x=a[head]; y=b[head];32     33     while(i<j) {34         while((i<j)&&(b[j]>=y)) j--;35         b[i]=b[j];a[i]=a[j];36         while((i<j)&&(b[i]<=y)) i++;37         b[j]=b[i];a[j]=a[i];38     }39     a[i]=x; b[i]=y;40     41     if(head<i-1) sort(head,i-1);42     if(i+1<tail) sort(i+1,tail);43 }44 45 int work()46 {47     int i;48     sort(1,n);49     50     red(i,n,1) {51         p1+=a[i];52         if(p1+b[i]>p2) p2=p1+b[i];53     }54     55     printf("Case %d: %d\n",T,p2);56     57     return 0;58 }59 60 int main()61 {62     T=0;63 64     while(true) {65         T++;66         pre();67         scanf("%d",&n);68         if(n==0) exit(0);69         rep(i,1,n) scanf("%d%d",&a[i],&b[i]);70         work();71     }72     73     return 0;74 }

[Ultraviolet A] 11729-commando war