Suppose you are scheduling study rooms in the library. You have many requests to reserve time slots and enough study rooms for everyone, but you want to use as few study rooms as possible. What greedy approach would be best? CSort requests by who you like best. Schedule first the group that has the most friends, then the next, etc. Sort requests by amount of time requested. Schedule first the smallest request, then the next smallest in the first room where it doesn't conflict, etc. OSort requests by end time. Schedule first the one that ends first, then the next in the first study room where it doesn't conflict, etc. OSort requests by start time. Schedule first the one that starts first, then the next in the first study room where it doesn't conflict, etc. Is the best approach guaranteed to schedule all the requests in the smallest possible number of study rooms, or is it just going to give a solution that is close to optimal? Close to optimal Now suppose you have a single study room in the library and N requests for reserving the room. You want to make as many study groups as possible happy, so you want to schedule the largest possible number of sessions in the room. What greedy approach would be best? Sort requests by who you like best. Schedule first the group that has the most friends, then the next, etc. Sort requests by start time. Schedule first the one that starts first, then the next that fits, etc. Sort requests by end time. Schedule first the one that ends first, then the next that fits, etc. Sort requests by amount of time requested. Schedule first the smallest request, then the next smallest one that fits, etc.

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### Scheduling Study Rooms in the Library

#### Scenario 1: Multiple Study Rooms Available

You need to schedule study rooms in the library where there are enough rooms for everyone, but the goal is to use as few rooms as possible. Which greedy approach would be best?

- **Option A:** Sort requests by who you like best. Schedule first the group that has the most friends, then the next, etc.
- **Option B:** Sort requests by the amount of time requested. Schedule first the smallest request, then the next smallest in the first room where it doesn't conflict, etc.
- **Option C:** Sort requests by end time. Schedule first the one that ends first, then the next in the first study room where it doesn't conflict, etc.
- **Option D:** Sort requests by start time. Schedule first the one that starts first, then the next in the first study room where it doesn't conflict, etc.

**Question:** Is the best approach guaranteed to schedule all the requests in the smallest possible number of study rooms, or is it just going to provide a solution that is close to optimal?

- **Drop-down menu:** Options to select (e.g., "Close to optimal").

#### Scenario 2: Single Study Room with Multiple Requests

Now consider you have a single study room in the library and multiple requests for reserving the room. The aim is to make as many study groups as possible happy by scheduling the largest number of sessions. Which greedy approach would be best?

- **Option A:** Sort requests by who you like best. Schedule first the group that has the most friends, then the next, etc.
- **Option B:** Sort requests by start time. Schedule first the one that starts first, then the next that fits, etc.
- **Option C:** Sort requests by end time. Schedule first the one that ends first, then the next that fits, etc.
- **Option D:** Sort requests by the amount of time requested. Schedule first the smallest request, then the next smallest one that fits, etc.
Transcribed Image Text:### Scheduling Study Rooms in the Library #### Scenario 1: Multiple Study Rooms Available You need to schedule study rooms in the library where there are enough rooms for everyone, but the goal is to use as few rooms as possible. Which greedy approach would be best? - **Option A:** Sort requests by who you like best. Schedule first the group that has the most friends, then the next, etc. - **Option B:** Sort requests by the amount of time requested. Schedule first the smallest request, then the next smallest in the first room where it doesn't conflict, etc. - **Option C:** Sort requests by end time. Schedule first the one that ends first, then the next in the first study room where it doesn't conflict, etc. - **Option D:** Sort requests by start time. Schedule first the one that starts first, then the next in the first study room where it doesn't conflict, etc. **Question:** Is the best approach guaranteed to schedule all the requests in the smallest possible number of study rooms, or is it just going to provide a solution that is close to optimal? - **Drop-down menu:** Options to select (e.g., "Close to optimal"). #### Scenario 2: Single Study Room with Multiple Requests Now consider you have a single study room in the library and multiple requests for reserving the room. The aim is to make as many study groups as possible happy by scheduling the largest number of sessions. Which greedy approach would be best? - **Option A:** Sort requests by who you like best. Schedule first the group that has the most friends, then the next, etc. - **Option B:** Sort requests by start time. Schedule first the one that starts first, then the next that fits, etc. - **Option C:** Sort requests by end time. Schedule first the one that ends first, then the next that fits, etc. - **Option D:** Sort requests by the amount of time requested. Schedule first the smallest request, then the next smallest one that fits, etc.
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