Einstein Puzzles

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lpetrich
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Einstein Puzzles

Post by lpetrich » Sun Aug 21, 2016 12:34 pm

Presumably named because one supposedly has to be as smart as Albert Einstein to solve them. If Einstein himself was interested in such puzzles, he did not talk about his interest very much.

Einstein Puzzles

Einstein's Riddles and Grid Puzzles has a classic one:

Five men of different nationalities live near each other in different-colored houses, each with a different preference in drinks, cigarettes, and pets. They satisfy these constraints:
  1. The Briton lives in the Red house.
  2. The Swede keeps dogs as pets.
  3. The Dane drinks tea.
  4. The Green house is next to the White house, on the left.
  5. The owner of the Green house drinks coffee.
  6. The person who smokes Pall Mall rears birds.
  7. The owner of the Yellow house smokes Dunhill.
  8. The man living in the centre house drinks milk.
  9. The Norwegian lives in the first house.
  10. The man who smokes Blends lives next to the one who keeps cats.
  11. The man who keeps horses lives next to the man who smokes Dunhill.
  12. The man who smokes Blue Master drinks beer.
  13. The German smokes Prince.
  14. The Norwegian lives next to the Blue house.
  15. The man who smokes Blends has a neighbour who drinks water.
First -- presumably on the left. Left and right -- presumably relative to the houses' forward directions.

This puzzle has a unique solution. What is it? Who likes fish in it?

To solve, create a grid with house locations along one axis and attributes along the other axis. Then fill it in, while satisfying the constraints. Successfully filling in the entire grid will solve the puzzle.

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Val
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Post by Val » Mon Aug 22, 2016 6:49 am

I love solving these. Using spreadsheet software comes in very handy (coloured cells for Y/N/unknown). The multi-dimensional ones can be devilish, but the same solving principles apply, they just take longer and often require some deduction that isn't straightforward to glean from your grids.
We who choose to surround ourselves with lives, Even more temporary than our own, Live within a fragile circle, Easily and often breached.
- Irving Townsend

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Post by lpetrich » Mon Aug 22, 2016 7:47 am

Hidden Text:
Initial State:

1. The Briton lives in the Red house.
2. The Swede keeps dogs as pets.
3. The Dane drinks tea.
4. The Green house is next to the White house, on the left.
5. The owner of the Green house drinks coffee.
6. The person who smokes Pall Mall rears birds.
7. The owner of the Yellow house smokes Dunhill.
8. The man living in the centre house drinks milk.
9. The Norwegian lives in the first house.
10. The man who smokes Blends lives next to the one who keeps cats.
11. The man who keeps horses lives next to the man who smokes Dunhill.
12. The man who smokes Blue Master drinks beer.
13. The German smokes Prince.
14. The Norwegian lives next to the Blue house.
15. The man who smokes Blends has a neighbour who drinks water.

[table]House | - | - | - | - | -
Nationality | - | - | - | - | -
Drink | - | - | - | - | -
Cigarettes | - | - | - | - | -
Pets | - | - | - | - | -[/table]

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Post by lpetrich » Mon Aug 22, 2016 7:52 am

Hidden Text:
1. The Briton lives in the Red house.
2. The Swede keeps dogs as pets.
3. The Dane drinks tea.
4. The Green house is next to the White house, on the left.
5. The owner of the Green house drinks coffee.
6. The person who smokes Pall Mall rears birds.
7. The owner of the Yellow house smokes Dunhill.
10. The man who smokes Blends lives next to the one who keeps cats.
11. The man who keeps horses lives next to the man who smokes Dunhill.
12. The man who smokes Blue Master drinks beer.
13. The German smokes Prince.
15. The man who smokes Blends has a neighbour who drinks water.

Rules 8, 9, 14
Elimination using rules 1, 4 gives the Norwegian the yellow house (rule 7)

[table]House | Yellow | Blue | - | - | -
Nationality | Norwegian | - | - | - | -
Drink | - | - | Milk | - | -
Cigarettes | - | - | - | - | -
Pets | - | - | - | - | -[/table]

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Post by lpetrich » Mon Aug 22, 2016 8:00 am

Hidden Text:
2. The Swede keeps dogs as pets.
3. The Dane drinks tea.
6. The person who smokes Pall Mall rears birds.
10. The man who smokes Blends lives next to the one who keeps cats.
12. The man who smokes Blue Master drinks beer.
13. The German smokes Prince.
15. The man who smokes Blends has a neighbour who drinks water.

Rules 7, 11, 4, 5, 1
Elimination: rule 1 (the red house)

[table]House | Yellow | Blue | Red | Green | White
Nationality | Norwegian | - | Briton | - | -
Drink | - | - | Milk | Coffee | -
Cigarettes | Dunhill | - | - | - | -
Pets | - | Horses | - | - | -[/table]

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Post by lpetrich » Mon Aug 22, 2016 8:03 am

Hidden Text:
2. The Swede keeps dogs as pets.
3. The Dane drinks tea.
6. The person who smokes Pall Mall rears birds.
10. The man who smokes Blends lives next to the one who keeps cats.
12. The man who smokes Blue Master drinks beer.
13. The German smokes Prince.

Rules 15
Elimination: rules 3, 12 (2nd and 5th houses contain the beer and the tea drinkers), rule 15 (water drinker)

[table]House | Yellow | Blue | Red | Green | White
Nationality | Norwegian | - | Briton | - | -
Drink | Water | - | Milk | Coffee | -
Cigarettes | Dunhill | Blends | - | - | -
Pets | - | Horses | - | - | -[/table]

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Post by lpetrich » Mon Aug 22, 2016 8:12 am

Hidden Text:

Rules 12, 3, 13, 2, 6, 10
Elimination: using problem statement (who keeps fish?)

[table]House | Yellow | Blue | Red | Green | White
Nationality | Norwegian | Dane | Briton | German | Swede
Drink | Water | Tea | Milk | Coffee | Beer
Cigarettes | Dunhill | Blends | Pall Mall | Prince | Blue Master
Pets | Cats | Horses | Birds | Fish | Dogs[/table]

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Post by lpetrich » Mon Aug 22, 2016 11:05 am

Ships Puzzle

1. The Greek ship leaves at six and carries coffee.
2. The Ship in the middle has a black chimney.
3. The English ship leaves at nine.
4. The French ship with blue chimney is to the left of a ship that carries coffee.
5. To the right of the ship carrying cocoa is a ship going to Marseille.
6. The Brazilian ship is heading for Manila.
7. Next to the ship carrying rice is a ship with a green chimney.
8. A ship going to Genoa leaves at five.
9. The Spanish ship leaves at seven and is to the right of the ship going to Marseille.
10. The ship with a red chimney goes to Hamburg.
11. Next to the ship leaving at seven is a ship with a white chimney.
12. The ship on the border carries corn.
13. The ship with a black chimney leaves at eight.
14. The ship carrying corn is anchored next to the ship carrying rice.
15. The ship to Hamburg leaves at six.

Which ship goes to Port Said? Which ship carries tea?

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Post by lpetrich » Mon Aug 22, 2016 11:24 am

Hidden Text:
1. The Greek ship leaves at six and carries coffee.
3. The English ship leaves at nine.
4. The French ship with blue chimney is to the left of a ship that carries coffee.
5. To the right of the ship carrying cocoa is a ship going to Marseille.
6. The Brazilian ship is heading for Manila.
7. Next to the ship carrying rice is a ship with a green chimney.
8. A ship going to Genoa leaves at five.
9. The Spanish ship leaves at seven and is to the right of the ship going to Marseille.
10. The ship with a red chimney goes to Hamburg.
11. Next to the ship leaving at seven is a ship with a white chimney.
12. The ship on the border carries corn.
14. The ship carrying corn is anchored next to the ship carrying rice.
15. The ship to Hamburg leaves at six.

Rules 2, 13

[table]Chimney Color | - | - | black | - | -
Nationality | - | - | - | - | -
Cargo | - | - | - | - | -
Destination | - | - | - | - | -
Departure Time | - | - | eight | - | -[/table]
Last edited by lpetrich on Mon Aug 22, 2016 11:36 am, edited 1 time in total.

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Post by lpetrich » Mon Aug 22, 2016 11:33 am

Hidden Text:
3. The English ship leaves at nine.
6. The Brazilian ship is heading for Manila.
8. A ship going to Genoa leaves at five.
11. Next to the ship leaving at seven is a ship with a white chimney.

Rules 12, 14, 7: green corn, rice, -, -, - or -, -, -, rice, green corn
Rules 1, 4, 10, 15: --, blue French, red Greek coffee Hamburg six, --
Rules 5, 9: --, cocoa, Marseille, Spanish seven, --

The first two give us
green corn, rice, -, blue French, red Greek coffee Hamburg six
or
blue French, red Greek coffee Hamburg six, -, rice, green corn

The third is only consistent with the second one of these:
blue French, red Greek coffee Hamburg six, cocoa, rice Marseille, green Spanish corn seven

Thus,
Rules 1, 4, 5, 7, 9, 10, 12, 14, 15

[table]Chimney Color | blue | red | black | - | green
Nationality | French | Greek | - | - | Spanish
Cargo | - | coffee | cocoa | rice | corn
Destination | - | Hamburg | - | Marseille | -
Departure Time | - | six | eight | - | seven[/table]

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Post by lpetrich » Mon Aug 22, 2016 11:38 am

Hidden Text:

Rules 11, 8, 6, 3
Remaining cargo, destination

[table]Chimney Color | blue | red | black | white | green
Nationality | French | Greek | Brazilian | English | Spanish
Cargo | tea | coffee | cocoa | rice | corn
Destination | Genoa | Hamburg | Manila | Marseille | Port Said
Departure Time | five | six | eight | nine | seven[/table]

The French ship is carrying tea, and the Spanish one is going to Port Said.

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Post by lpetrich » Thu Dec 14, 2017 12:02 pm

Soccer Problem Puzzle

1. Justin is the goalie
2. The right forward is #10
3. The goalie is 6' 4''
4. Joe is 6' 1''
5. Ryan is right forward
6. The person next to Ryan is #14
7. The person who is 6' 4'' is #16
8. #10 is 5' 8''
9. The left forward is #15
10. Brad is right defense
11. Brendan is #20
12. Michael is 7' 1''
13. Miguel is #6
14. Michael is left forward
15. #42 is right defense
16. Brad is 6' 2''
17. #6 is center defense
18. #15 is 7' 1''
19. #20 is 6' 7''
20. Miguel is 5' 10''
21. #14 is 6' 1''
22. The person who is 6' 7'' is left defense
23. Joe is center forward

Find the solution.

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Post by lpetrich » Thu Dec 14, 2017 12:10 pm

Hidden Text:
4. Joe is 6' 1''
6. The person next to Ryan is #14
7. The person who is 6' 4'' is #16
8. #10 is 5' 8''
11. Brendan is #20
12. Michael is 7' 1''
13. Miguel is #6
16. Brad is 6' 2''
18. #15 is 7' 1''
19. #20 is 6' 7''
20. Miguel is 5' 10''
21. #14 is 6' 1''

Rules: 1, 2, 3, 5, 9, 10, 14, 15, 17, 22, 23

Michael | | #15 | left forward Joe | | | center forward Ryan | | #10 | right forward | 6' 7" | | left defense | | #6 | center defense Brad | | #42 | right defense Justin | 6' 4" | | goalie

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Post by lpetrich » Thu Dec 14, 2017 12:18 pm

Hidden Text:

Rules: 4, 6, 7, 8, 11, 12, 13, 16, 18, 19, 20, 21

Michael | 7' 1" | #15 | left forward Joe | 6' 1" | #14 | center forward Ryan | 5' 8" | #10 | right forward Brendan | 6' 7" | #20 | left defense Miguel | 5' 10" | #6 | center defense Brad | 6' 2" | #42 | right defense Justin | 6' 4" | #16 | goalie

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Post by lpetrich » Thu Dec 14, 2017 12:22 pm

Who Works Where Puzzle

1. Dan works in Administration and does not like either Football or Cricket.
2. Fay works in Personnel with only Alex who likes Table Tennis.
3. Earl and Harry do not work in the same department as Dan.
4. Carol likes Hockey and does not work in Marketing.
5. George does not work in Administration and does not like either Cricket or Badminton.
6. One of those who work in Administration likes Football.
7. The one who likes Volleyball works in Personnel.
8. None of those who work in Administration likes either Badminton or Lawn Tennis.
9. Harry does not like Cricket.

The people: Alex, Betty, Carol, Dan, Earl, Fay, George and Harry
The departments: Personnel, Administration and Marketing
At most three people per department.
The sports: Football, Cricket, Volleyball, Badminton, Lawn Tennis, Basketball, Hockey and Table Tennis

Who are the employees who work in the Administration Department?
In which Department does Earl work?

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Post by lpetrich » Thu Dec 14, 2017 12:29 pm

Hidden Text:
1. Dan works in Administration and does not like either Football or Cricket.
2. Fay works in Personnel with only Alex who likes Table Tennis.
3. Earl and Harry do not work in the same department as Dan.
4. Carol likes Hockey and does not work in Marketing.
5. George does not work in Administration and does not like either Cricket or Badminton.
6. One of those who work in Administration likes Football.
7. The one who likes Volleyball works in Personnel.
8. None of those who work in Administration likes either Badminton or Lawn Tennis.
9. Harry does not like Cricket.

The departments: Personnel, Administration and Marketing
At most three people per department.
The sports: Football, Cricket, Volleyball, Badminton, Lawn Tennis, Basketball, Hockey and Table Tennis

Alex | Personnel | Table Tennis Betty | | Carol | | Hockey Dan | Administration | Earl | | Fay | Personnel | George | | Harry | |

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lpetrich
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Post by lpetrich » Thu Dec 14, 2017 12:33 pm

Hidden Text:
1. Dan works in Administration and does not like either Football or Cricket.
2. Fay works in Personnel with only Alex who likes Table Tennis.
3. Earl and Harry do not work in the same department as Dan.
4. Carol likes Hockey and does not work in Marketing.
5. George does not work in Administration and does not like either Cricket or Badminton.
6. One of those who work in Administration likes Football.
7. The one who likes Volleyball works in Personnel.
8. None of those who work in Administration likes either Badminton or Lawn Tennis.
9. Harry does not like Cricket.

The departments: Personnel, Administration and Marketing
At most three people per department.
The sports: Football, Cricket, Volleyball, Badminton, Lawn Tennis, Basketball, Hockey and Table Tennis

Alex | Personnel | Table Tennis Betty | | Carol | Administration | Hockey Dan | Administration | Earl | Marketing | Fay | Personnel | Volleyball George | Marketing | Harry | Marketing |

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lpetrich
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Post by lpetrich » Thu Dec 14, 2017 12:36 pm

Hidden Text:
1. Dan works in Administration and does not like either Football or Cricket.
5. George does not work in Administration and does not like either Cricket or Badminton.
8. None of those who work in Administration likes either Badminton or Lawn Tennis.
9. Harry does not like Cricket.

Rules: 2, 3, 4, 6, 7

The sports: Football, Cricket, Volleyball, Badminton, Lawn Tennis, Basketball, Hockey and Table Tennis

Alex | Personnel | Table Tennis Betty | Administration | Football Carol | Administration | Hockey Dan | Administration | Earl | Marketing | Fay | Personnel | Volleyball George | Marketing | Harry | Marketing |

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lpetrich
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Post by lpetrich » Thu Dec 14, 2017 12:41 pm

Hidden Text:

Rules: 1, 5, 8, 9

Alex | Personnel | Table Tennis Betty | Administration | Football Carol | Administration | Hockey Dan | Administration | Basketball Earl | Marketing | Cricket Fay | Personnel | Volleyball George | Marketing | Badminton or Lawn Tennis Harry | Marketing | Lawn Tennis or Badminton

Administration: Betty, Carol, Dawn
Earl: Marketing

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Post by lpetrich » Thu Dec 14, 2017 12:47 pm

Who Stole the Ginger Cookie from the Cookie Jar? Puzzle

1. Jackie is next to the person who eats on the lounge.
2. Arnotts brand cookies are kept in a round jar.
3. The person beside Cameron eats cookies at a table.
4. The person who eats Oreos eats in the closet
5. Julieanne likes Paradise brand cookies
6. The person who drinks banana milk is in the middle and owns a tall jar
7. The first person likes vanilla milk
8. Holly is the person on the far right
9. The person who eats in the bedroom drinks strawberry milk
10. The person who owns the tall jar is next to the person who owns square jar
11. Cameron drinks caramel milk
12. The person who likes the Dick Smith brand is next to the person who likes the Coles brand
13. The person who likes the No Frills brand is next to the person who owns a round jar
14. The person who stole the 100s and 1000s cookies is next to the person who owns the brass jar
15. The second person from the right eats No Frills brand and is next to the person who owns a round jar
16. The first person on the left stole the choc chip cookies
17. The person who eats Dick Smith brand is next to the person who eats Paradise brand
18. The second from the left has a brass jar
19. Julieanne is to the right of the person who drinks strawberry milk
20. The person who drinks chocolate milk does it at the table
21. The Paradise brand cookies are eaten in the kitchen
22. The person who eats Tiny Teddies doesn't keep them in a round jar
23. The Coles brand cookies are kept in a mini sized jar

The people: Holly, Cameron, Julieanne, Alex and Jackie
Each one stole a cookie of some brand from some kind of jar, and then ate it with some flavored milk in some place.

A Ginger Cookie was also stolen. Who stole it?

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Post by lpetrich » Thu Dec 14, 2017 12:53 pm

Hidden Text:
1. Jackie is next to the person who eats on the lounge.
2. Arnotts brand cookies are kept in a round jar.
3. The person beside Cameron eats cookies at a table.
4. The person who eats Oreos eats in the closet
5. Julieanne likes Paradise brand cookies
7. The first person likes vanilla milk
9. The person who eats in the bedroom drinks strawberry milk
10. The person who owns the tall jar is next to the person who owns square jar
11. Cameron drinks caramel milk
12. The person who likes the Dick Smith brand is next to the person who likes the Coles brand
13. The person who likes the No Frills brand is next to the person who owns a round jar
14. The person who stole the 100s and 1000s cookies is next to the person who owns the brass jar
15. The second person from the right eats No Frills brand and is next to the person who owns a round jar
17. The person who eats Dick Smith brand is next to the person who eats Paradise brand
19. Julieanne is to the right of the person who drinks strawberry milk
20. The person who drinks chocolate milk does it at the table
21. The Paradise brand cookies are eaten in the kitchen
22. The person who eats Tiny Teddies doesn't keep them in a round jar
23. The Coles brand cookies are kept in a mini sized jar

Rules: 6, 8, 16, 18

The people: Holly, Cameron, Julieanne, Alex and Jackie

| Chocolate Chip | | | | | Brass Jar | | | | Tall Jar | Banana Milk | | No Frills | | | Holly | | | |

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Post by lpetrich » Thu Dec 14, 2017 1:11 pm

Hidden Text:
1. Jackie is next to the person who eats on the lounge.
3. The person beside Cameron eats cookies at a table.
4. The person who eats Oreos eats in the closet
5. Julieanne likes Paradise brand cookies
7. The first person likes vanilla milk
9. The person who eats in the bedroom drinks strawberry milk
11. Cameron drinks caramel milk
12. The person who likes the Dick Smith brand is next to the person who likes the Coles brand
14. The person who stole the 100s and 1000s cookies is next to the person who owns the brass jar
17. The person who eats Dick Smith brand is next to the person who eats Paradise brand
19. Julieanne is to the right of the person who drinks strawberry milk
20. The person who drinks chocolate milk does it at the table
21. The Paradise brand cookies are eaten in the kitchen
22. The person who eats Tiny Teddies doesn't keep them in a round jar

Rules: 2, 10, 13, 15, 23

The people: Holly, Cameron, Julieanne, Alex and Jackie

| Coles Chocolate Chip | Mini Jar | | | | Brass Jar | | | | Tall Jar | Banana Milk | | No Frills | Square Jar | | Holly | Arnotts | Round Jar | |
Last edited by lpetrich on Thu Dec 14, 2017 1:22 pm, edited 1 time in total.

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Post by lpetrich » Thu Dec 14, 2017 1:14 pm

Hidden Text:
1. Jackie is next to the person who eats on the lounge.
3. The person beside Cameron eats cookies at a table.
4. The person who eats Oreos eats in the closet
7. The first person likes vanilla milk
9. The person who eats in the bedroom drinks strawberry milk
11. Cameron drinks caramel milk
19. Julieanne is to the right of the person who drinks strawberry milk
20. The person who drinks chocolate milk does it at the table
21. The Paradise brand cookies are eaten in the kitchen
22. The person who eats Tiny Teddies doesn't keep them in a round jar

Rules: 5, 12, 14, 17

The people: Holly, Cameron, Julieanne, Alex and Jackie

| Coles Chocolate Chip | Mini Jar | | | Dick Smith | Brass Jar | | Julieanne | Paradise 100s and 1000s | Tall Jar | Banana Milk | | No Frills | Square Jar | | Holly | Arnotts | Round Jar | |

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lpetrich
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Post by lpetrich » Thu Dec 14, 2017 1:20 pm

Hidden Text:
1. Jackie is next to the person who eats on the lounge.
3. The person beside Cameron eats cookies at a table.
4. The person who eats Oreos eats in the closet
11. Cameron drinks caramel milk
20. The person who drinks chocolate milk does it at the table
22. The person who eats Tiny Teddies doesn't keep them in a round jar

Rules: 7, 9, 19, 21

The people: Holly, Cameron, Julieanne, Alex and Jackie

| Coles Chocolate Chip | Mini Jar | Vaniila Milk | | Dick Smith | Brass Jar | Strawberry Milk | Bedroom Julieanne | Paradise 100s and 1000s | Tall Jar | Banana Milk | Kitchen | No Frills | Square Jar | | Holly | Arnotts | Round Jar | |

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Post by lpetrich » Thu Dec 14, 2017 1:27 pm

Hidden Text:

Rules: 1, 3, 4, 11, 20, 22

Alex | Coles Chocolate Chip | Mini Jar | Vaniila Milk | Lounge Jackie | Dick Smith Tiny Teddies | Brass Jar | Strawberry Milk | Bedroom Julieanne | Paradise 100s and 1000s | Tall Jar | Banana Milk | Kitchen Cameron | No Frills Oreos | Square Jar | Caramel Milk | Closet Holly | Arnotts Ginger | Round Jar | Chocolate Milk | Table

Should have split the cookie brand and the cookie kind.

Holly stole the ginger cookie.

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