Simple and greedy Task Scheduling

Source: Internet
Author: User

Question:

There are n tasks, each of which takes one unit of time to complete, and each task has a specified time period. If the time limit is exceeded, a fine will be imposed. Find the task combination with the minimum penalty and the minimum penalty amount.

   

Input:

An integer n represents the number of tasks. The following n rows have two integers: the first is the time period, and the second is the time-out penalty.

Output:

Number of completed tasks within the term, number of completed tasks beyond the term, and number of fines.

The key to this question is the fine amount, so we should try our best to complete the tasks with a large penalty amount first, sort the tasks according to the fine amount from large to small, and process each task in sequence. After a task that can be completed in advance is obtained, the task is sorted by time period, so that the tasks with a large time period are as low as possible, so as to ensure the maximum number of tasks completed in advance.

Code:

# Include <iostream>
# Include <cstring>
Using namespace STD;

Typedef struct test {
Int K, D, W;
} Text;

Int main (){
Text tlist [100], list [100];
Int P [100];
Int temp [1010];
Memset (temp, 0, sizeof (temp ));
Int N, I, j, T;
Cin> N;
For (I = 1; I <= N; I ++ ){
Cin> tlist [I]. D> tlist [I]. W;
Tlist [I]. k = I;
Temp [tlist [I]. W] ++;
}
For (I = 2; I <= 1000; I ++) // sort the count
Temp [I] + = temp [I-1];
For (j = N; j> = 1; j --){
List [temp [tlist [J]. W] = tlist [J];
Temp [tlist [J]. W] --;
}
Int num = 0; // number of tasks completed in advance
For (I = N; I> = 1; I --) {// because the Count sorting is from small to large, the task searches from large to small.
T = 0;
For (j = 1; j <= num; j ++)
If (list [p [J]. d <= num)
T ++;
If (T <list [I]. d) {// if the time limit of the I-th task is less than the number of tasks to be completed in advance, add the I-th task to the task sequence that can be completed in advance.
Num ++;
P [num] = I;
List [I]. k =-list [I]. K;
J = num;
While (j> 1) {// The time limit for the tasks completed in advance from small to large
If (list [p [J]. d <list [p [J-1]. d ){
T = P [J];
P [J] = P [J-1];
[J-1] = T;
J --;
}
Else break;
}
}
}
For (I = 1; I <= num; I ++)
Cout <-list [p [I]. k <"";
Cout <Endl;
T = 0;
For (I = 1; I <= N; I ++)
If (list [I]. k> 0 ){
Cout <list [I]. k <"";
T + = list [I]. W;
}
Cout <Endl <t;
Return 0;
}

Contact Us

The content source of this page is from Internet, which doesn't represent Alibaba Cloud's opinion; products and services mentioned on that page don't have any relationship with Alibaba Cloud. If the content of the page makes you feel confusing, please write us an email, we will handle the problem within 5 days after receiving your email.

If you find any instances of plagiarism from the community, please send an email to: info-contact@alibabacloud.com and provide relevant evidence. A staff member will contact you within 5 working days.

A Free Trial That Lets You Build Big!

Start building with 50+ products and up to 12 months usage for Elastic Compute Service

  • Sales Support

    1 on 1 presale consultation

  • After-Sales Support

    24/7 Technical Support 6 Free Tickets per Quarter Faster Response

  • Alibaba Cloud offers highly flexible support services tailored to meet your exact needs.