Sample – Andrea’s Vacation

This logic problem is a walkthrough to give you an idea of how to solve a logic problem.

Logic Problem:

Because of Andrea’s hard work, Tom Nook decided to let her take a vacation from Nook’s Homes. She went to Houston, a city she previously lived in, to meet with her friends she met before getting a job. During her vacation, she discovered that the original StarFall Crew (Kaylee, Jenny, and Penny) invited two more friends (Lola and Rebecca). Meanwhile, Kaylee learned more about Andrea’s job. As a result, the five girls moved to the town Andrea currently lives. Over there, she had to go back to decorating homes. Every girl had one 12×8 room and an additional 6×6 room. The primary theme of each house took up the main room whereas the extra theme took the additional room. No two girls had the same primary theme or extra theme. In addition, the extra room was at a different location of each house (left, back-left, back-right, right, and second floor). From the information provided, can you find out which girl had what primary theme, extra theme, and location of the extra room?

Setup:

Category A – Name:

  • Kaylee
  • Jenny
  • Penny
  • Lola
  • Rebecca

Category B – Primary Theme:

  • Sci-Fi
  • Western
  • Medieval
  • Winter
  • Fall

Category C – Extra Theme:

  • Halloween
  • Thanksgivings
  • Christmas
  • Easter
  • 4th of July

Category D – Extra Room:

  • Left Room
  • Back-left Room
  • Back-right Room
  • Right Room
  • Second Floor Room

Clues:

  • Clue #1 – The three girls from the original StarFall Crew are the one whose primary theme is Sci-Fi, the one whose extra theme is Halloween, and the one who had an extra room in the back towards the right.
  • Clue #2 – Lola and the girl with a Medieval-themed house had an extra room on the left and an Easter-themed room, in some order.
  • Clue #3 – Jenny and Penny had a Fall-themed house and a Winter-themed house, in some order.
  • Clue #4 – The Second Floor Room in one of the girls’ houses had a 4th of July themed room.
  • Clue #5 – Neither the girl with a Fall-themed house nor the girl whose extra theme is Christmas had an extra room on the right.
  • Clue #6 – The girl who had an extra room in the back towards the left (who isn’t Rebecca) didn’t have Thanksgivings as her additional theme.
  • Clue #7 – Penny’s extra theme is Christmas. The Western-themed house had a Thanksgivings-themed room as the extra room.

Walkthrough

After reading the description, the setup on each problem is listed. There are four categories, five items per category, which means that there should be six 5×5 squares in an upside-down staircase notation. If you need to make a grid, use Microsoft Excel, Numbers, or any other spreadsheet type of document. Be sure to utilize the cell border feature (both thick and thin borders) to make a good grid. At the same time, use the merge feature to merge a few cells for names of each item.

The sample problem’s grid should look like this:

Logic Problem Step 01

Now let’s move onto the clues.

Clue #1The three girls from the original StarFall Crew are the one whose primary theme is Sci-Fi, the one whose extra theme is Halloween, and the one who had an extra room in the back towards the right.

First of all, we don’t know who are the members of the original StarFall Crew. According to the description, the original members of the StarFall Crew are Kaylee, Jenny, and Penny. Since neither Lola nor Rebecca were part of the StarFall crew, there should be an X in all the intersections between either one of the girls and all three of the items mention. We know that Lola’s primary theme isn’t Sci-Fi, nor is her extra theme being Halloween. She doesn’t even have an extra room in the back towards the right. The same is true for Rebecca.

Logic Problem Step 02

Now that step is all clear, let’s move onto the part with Sci-Fi, Halloween, and Back-right room. It appears that all of these items are associated with three different girls Andrea was friends with, so there should be an X in the intersection between “Sci-Fi” and “Halloween”, “Sci-Fi” and “Back-right”, and “Halloween” and “Back-right”.

Logic Problem Step 03

That’s it for the first clue, so let’s move onto the next clue.

Clue #2Lola and the girl with a Medieval-themed house had an extra room on the left and an Easter-themed room, in some order.

Now this is an easy step. However, it’s involving two items from two different categories associating with two other items from different categories. Since all four categories are used, there should be an X in the intersection between “Lola” and “Medieval” as we declare that Lola’s primary theme isn’t Medieval. At the same time, the girl who had an Easter-themed room doesn’t have an extra room on the left, so an X exists in the intersection between “Easter” and “Left”.

Logic Problem Step 04

I will use this clue in the future as an indicator to prove who gets what. If Lola doesn’t get the room in the left, she gets the Easter-themed room while the girl with the Medieval theme gets the left room. If Lola doesn’t get the Easter-themed room, at least the girl with the Medieval theme gets the Easter-themed room as Lola gets the room on the left. If Lola neither has the left room nor the Easter-themed room, then it means that the work done is wrong.

Clue #3Jenny and Penny had a Fall-themed house and a Winter-themed house, in some order.

This clue is similar to Clue #2, but only this time, it uses two items from one category associating with two items from another category. The rule here is that if two items from one category correlate to two items from another category, all of the other intersections must be crossed out. So Jenny’s primary theme isn’t Sci-fi, Western, or Medieval. Penny has the same story. Whoever has the primary theme of Winter isn’t Kaylee, Lola, or Rebecca. Same with the Fall.

Logic Problem Step 05

Now take a look at the grid. It appears that the Sci-Fi column has four intersections crossed out. The only one left is Kaylee, which means that Kaylee’s primary theme is Sci-Fi. In addition, Lola’s theme is Western since that’s the only theme left. Her theme isn’t Sci-Fi (Clue #1), Medieval (Clue #2), Winter (Clue #3), or Fall (Clue #3). When there is a match, there should be a dot (or O if you’re using a spreadsheet document) in the intersection.

Logic Problem Step 06

But that’s not all. If a dot exists in an intersection, then it means that all of the other spaces in the same row and the spaces in the same column must be crossed out since we now know that they don’t match. Also, if Kaylee’s theme is Sci-Fi and Lola’s theme is Western (as Jenny and Penny have the Winter and Fall themes), then Rebecca should have the Medieval theme.

Logic Problem Step 07

And there’s still more. Since Kaylee’s primary theme is Sci-Fi, her secondary theme isn’t Halloween, and her extra room isn’t in the back towards the right, as proven by Clue #1. Since Lola and Rebecca aren’t in the original StarFall Crew, neither the Western theme nor the Medieval theme is in the same house with an additional room in the back-right. Halloween isn’t the secondary theme of either house too. And if Lola and Rebecca have the Easter-themed room and an extra room in the left in some order, it means that none of the original StarFall Crew has an additional room in the left or an additional room with the Easter theme. One more thing, the room in the back towards the right doesn’t have a possibility of being an Easter-themed room. The same is true for the room on the left being a Halloween-themed room.

Logic Problem Step 08

That’s four steps done in one clue, so let’s move along.

Clue #4The Second Floor Room in one of the girls’ houses had a 4th of July themed room.

So what does this clue mean? It means that the house with an additional room above the main room is the same house with an additional theme of US Independence Day (otherwise known as 4th of July). So there should be a dot in the intersection between “Second Floor” and “4th of July”. At the same time, there should be an X in every intersection between “4th of July” and the first-floor additional rooms, as well as an X between “Second Floor” and the other holiday themes.

Logic Problem Step 09

Now here is when the process gets interesting. Either Jenny or Penny has a Halloween-themed room as their secondary room. Whoever doesn’t have the Halloween room has a room in the back towards the right. It means that neither girl has a 4th of July-themed room or a room on the second floor. As for Lola and Rebecca, one gets an Easter-themed room while the other gets a room on the left, which implies that neither has a room on the second floor. Since none of the other girls has a second floor room with the 4th of July theme, it means that the former mayor of StarFall has the 4th of July-themed room above the main room. So there should be a dot in the intersection between “Kaylee” and “4th of July”, and the intersection between “Kaylee” and “Second Floor”.

Logic Problem Step 10

Oh, and there’s another thing. We already proven that Kaylee has an additional room above being a 4th of July themed room. Earlier, we have proven that Kaylee’s primary theme is Sci-Fi, so the Sci-Fi themed house has a 4th of July themed room above. So there should be a dot in the intersection between “Sci-Fi” and “4th of July”, and the intersection between “Sci-Fi” and “Second Floor” as well.

Logic Problem Step 11

As a bonus, we now know what type of house Andrea made for Kaylee – a Sci-Fi themed house with a 4th of July themed room on the second floor. We still don’t know the other girls’ houses are, but we will sure figure that out in the other three clues.

Clue #5 – Neither the girl with a Fall-themed house nor the girl whose extra theme is Christmas had an extra room on the right.

So here’s what Clue #5 is telling us. The Fall-themed house was never intended to have an extra room on the right. Also, Andrea never decorated the extra room with the Christmas theme when it was on the right side of the house.

Logic Problem Step 12

But here’s what else this clue is mentioning. The Fall-themed house and the house with a Christmas-themed room are two different house, but the Fall-themed house doesn’t have a Christmas-themed room.

Logic Problem Step 13

It seems to make sense that the Fall-themed house doesn’t have a Christmas-themed room since Christmas is a winter holiday and not a fall holiday.

Clue #6 – The girl who had an extra room in the back towards the left (who isn’t Rebecca) didn’t have Thanksgivings as her additional theme.

We know about the girl with a room in the back towards the right, but this clue is about the girl with a room in the back towards the left. The two facts we learned about this clue are: (1) Rebecca isn’t the girl with the back-left room, and (2) the house with a room in the back towards the left doesn’t even have Thanksgivings as one of the themes. But this doesn’t mean that Rebecca isn’t the girl with a Thanksgivings themed room, so we can’t confirm that yet.

Logic Problem Step 14

There appears to be a step that we omitted earlier. Between Thanksgivings and Christmas, one of them has a room in the left, as the other has a room in the back towards the right. As for Halloween and Easter, one has a room in the back towards the left, and the other has a room in the right. So the remaining intersections between “Extra Theme” and “Extra Room” should be crossed out.

Logic Problem Step 15

There is one more clue, and I’m sure that it will solve the rest of the grid.

Clue #7Penny’s extra theme is Christmas. The Western-themed house had a Thanksgivings-themed room as the extra room.

The final clue has two simple clues, so let’s focus on the first one. So it says that Penny’s extra theme is Christmas, so let’s put a dot in between “Penny” and “Christmas” while we cross out the other intersections.

Logic Problem Step 16

Looking back at Clues #1 and #3, we have learned that between Jenny and Penny, whoever doesn’t have a Halloween-themed room has a room in the back towards the right. It appears that Penny’s extra room is Christmas-themed, not Halloween. So it looks like she got the extra room on the back towards the right. So there should be a dot in between “Penny” and “Back-right”, and a dot in between “Christmas” and “Back-right”.

Logic Problem Step 17

And what else is there. Since Penny has the room in the back towards the right (and since all of the intersections on the Halloween column are crossed out besides the one with Jenny’s name), it means that Jenny has the Halloween-themed room. And guess what else is there. All of the extra room spaces (except for “Left”) on the Thanksgivings column are crossed out, and all of the extra theme spaces (except for “Thanksgivings”) on the Left row are crossed out. That means there’s no other choice either way, so the Thanksgivings room is the additional room on the left of one of the houses.

Logic Problem Step 18

From Clue #5, we can remember that the Fall-themed house doesn’t have a Christmas-themed room. We now know that the house with a room in the back towards the right is the house with a Christmas-themed room. Plus, it is Penny’s house, so an X should be in the intersections between “Penny” & “Fall” and “Back-right” & “Fall”.

Logic Problem Step 19

So what’s new? It appears that the Back-left space on the Fall column is the only empty space, so the Fall-themed house has an extra room on the back towards the left. At the same time, we finally know what themed houses Jenny and Penny have. Jenny’s house is the Fall-themed house while Penny’s house is the Winter-themed house.

Logic Problem Step 20

Step #20 is to fill out the remaining spaces that match. We know that Jenny’s house is a Fall-themed house with a Halloween-themed room in the back of the house towards the left while Penny’s house is a Winter-themed house with a Christmas-themed room in the back of the house towards the right.

Logic Problem Step 21

It turns out that the box between “Extra Theme” and “Extra Room” has one empty space, as the surrounding spaces of that same row and column all have X’s, so there should be a dot, confirming that the house with a Thanksgivings-themed room has an extra room on the left and the house with an Easter-themed room has an extra room on the right.

Logic Problem Step 22

In regards to the second half of the clue, the Thanksgivings-themed room is in the Western-themed house, so that leads to the finish line. A dot goes in the intersection between “Thanksgivings” and “Western”.

Logic Problem Step 23

Since the Western-themed house has a Thanksgivings-themed room, the Medieval-themed house should have an Easter-themed room. What else is there? Lola has a Western-themed house while Rebecca has a Medieval-themed house. So this also means that Lola has a Thanksgivings-themed room while Rebecca has an Easter-themed room as well.

Logic Problem Step 24

The final step is to find out what rooms extra rooms Lola and Rebecca have. From what we learned from Clue #2, the girl who doesn’t have the Easter-themed room has an extra room on the left. Another way to help you fill the boxes is by looking at the box in between “Extra Theme” and “Extra Room”. It confirms that the room on the left is a Thanksgivings-themed room while the room on the right is an Easter-themed room. So Lola’s Western-themed house has an extra room on the left while Rebecca’s Medieval-themed house has a room on the right.

Logic Problem Step 25

The problem has been solved. We now know what houses Andrea decorated with which two themes for which of her friends she met during her vacation. Here is a slideshow that shows the process from Steps #1 to #24, as well as an empty grid.

This slideshow requires JavaScript.

Last of all, there is a answer list to show which girl got what house with what two themes.

  • Name – Primary Theme – Extra Theme – Extra Room
  • Kaylee – Sci-Fi – 4th of July – Second Floor Room
  • Jenny – Fall – Halloween – Back-left Room
  • Penny – Winter – Christmas – Back-right Room
  • Lola – Western – Thanksgivings – Left Room
  • Rebecca – Medieval – Easter – Right Room

The sample is over. Now feel free to solve any puzzle I post here.

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