# Activity Selection Problem (Greedy Algo-1) in C++?

C++Server Side ProgrammingProgramming

There are n different activities are given with their starting time and ending time. Select maximum number of activities to solve by a single person.

We will use the greedy approach to find the next activity whose finish time is minimum among rest activities, and the start time is more than or equal with the finish time of the last selected activity.

• The complexity of this problem is O(n log n) when the list is not sorted. When the sorted list is provided the complexity will be O(n).

## Input

A list of different activities with starting and ending times.

{(5,9), (1,2), (3,4), (0,6), (5,7), (8,9)}

## Output

Selected Activities are −

Activity: 0 , Start: 1 End: 2
Activity: 1 , Start: 3 End: 4
Activity: 3 , Start: 5 End: 7
Activity: 5 , Start: 8 End: 9

## Algorithm

### maxActivity(act, size)

Input - A list of activity, and the number of elements in the list.
Output - The order of activities how the have been chosen.

Begin
initially sort the given activity List
set i := 1
display the i-th activity //in this case it is the first activity
for j := 1 to n-1 do
if start time of act[j] >= end of act[i] then
display the jth activity
i := j
done
End

## Example

Live Demo

#include<iostream>
#include<algorithm>
using namespace std;
struct Activitiy {
int start, end;
};
bool comp(Activitiy act1, Activitiy act2) {
return (act1.end < act2.end);
}
void maxActivity(Activitiy act[], int n) {
sort(act, act+n, comp); //sort activities using compare function
cout << "Selected Activities are: " << endl;
int i = 0;// first activity as 0 is selected
cout << "Activity: " << i << " , Start: " <<act[i].start << " End: " << act[i].end <<endl;
for (int j = 1; j < n; j++) { //for all other activities
if (act[j].start >= act[i].end) { //when start time is >=end time, print the activity
cout << "Activity: " << j << " , Start: " <<act[j].start << " End: " << act[j].end <<endl;
i = j;
}
}
}
int main() {
Activitiy actArr[] = {{5,9},{1,2},{3,4},{0,6},{5,7},{8,9}};
int n = 6;
maxActivity(actArr,n);
return 0;
}

## Output

Selected Activities are:
Activity: 0 , Start: 1 End: 2
Activity: 1 , Start: 3 End: 4
Activity: 3 , Start: 5 End: 7
Activity: 5 , Start: 8 End: 9