There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Eric`, `Arnold`
 - Each person prefers a unique type of vacation: `mountain`, `beach`, `city`
 - The people keep unique animals: `cat`, `horse`, `bird`
 - People have unique heights: `average`, `short`, `very short`
 - Each mother is accompanied by their child: `Fred`, `Meredith`, `Bella`

## Clues:
1. The bird keeper is in the second house.
2. The person who is very short is the person who enjoys mountain retreats.
3. The person's child is named Meredith is somewhere to the left of the person who prefers city breaks.
4. Peter is somewhere to the left of the cat lover.
5. The person's child is named Fred is the person who has an average height.
6. The person's child is named Meredith is somewhere to the right of the person who is very short.
7. Arnold is the person who is very short.
 What is the value of attribute Children for the person whose attribute Height is short? Please reason step by step, and put your final answer within \boxed{}

Answer: Meredith


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Eric`, `Arnold`, `Alice`
 - Each person has a unique birthday month: `april`, `sept`, `jan`, `feb`
 - Everyone has a unique favorite cigar: `dunhill`, `prince`, `pall mall`, `blue master`
 - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `oneplus 9`, `iphone 13`
 - They all have a unique favorite flower: `lilies`, `roses`, `carnations`, `daffodils`
 - People have unique heights: `average`, `short`, `tall`, `very short`

## Clues:
1. The person who loves a bouquet of daffodils is Arnold.
2. The person whose birthday is in April is directly left of the person who smokes Blue Master.
3. The person who is short is the person who uses an iPhone 13.
4. The person who uses a Samsung Galaxy S21 is the person who is tall.
5. Eric is the person who uses a OnePlus 9.
6. The person who uses a Samsung Galaxy S21 is directly left of the person who uses a Google Pixel 6.
7. The person whose birthday is in February is Alice.
8. The Prince smoker is somewhere to the right of the person who is short.
9. The Prince smoker is the person whose birthday is in February.
10. The person who uses a OnePlus 9 is directly left of the person who loves the rose bouquet.
11. The person partial to Pall Mall is somewhere to the left of the person who loves the boquet of lilies.
12. The person who has an average height and the person whose birthday is in September are next to each other.
13. The person who loves a bouquet of daffodils is in the fourth house.
 What is the value of attribute Name for the person whose attribute House is 2? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Alice`, `Arnold`, `Peter`
 - Each person has a unique favorite drink: `milk`, `tea`, `coffee`, `water`
 - The people keep unique animals: `horse`, `bird`, `fish`, `cat`
 - Each person prefers a unique type of vacation: `cruise`, `city`, `mountain`, `beach`

## Clues:
1. Peter is the cat lover.
2. The fish enthusiast is not in the third house.
3. The person who loves beach vacations is the person who keeps horses.
4. The fish enthusiast is not in the fourth house.
5. The coffee drinker is directly left of the bird keeper.
6. The one who only drinks water is Eric.
7. The tea drinker is somewhere to the right of Peter.
8. Eric is not in the second house.
9. The person who loves beach vacations is somewhere to the right of Peter.
10. The person who loves beach vacations is Alice.
11. The cat lover is somewhere to the left of the person who likes going on cruises.
12. The person who keeps horses is directly left of the person who enjoys mountain retreats.
 What is the value of attribute Vacation for the person whose attribute Animal is bird? Please reason step by step, and put your final answer within \boxed{}

Answer: mountain


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Eric`, `Peter`
 - People have unique favorite book genres: `science fiction`, `mystery`, `romance`
 - Each mother is accompanied by their child: `Bella`, `Fred`, `Meredith`
 - People have unique hair colors: `black`, `blonde`, `brown`
 - Each person has a unique level of education: `high school`, `associate`, `bachelor`
 - They all have a unique favorite flower: `daffodils`, `lilies`, `carnations`

## Clues:
1. The person who loves the boquet of lilies is directly left of the person who loves romance books.
2. Peter is the person with a high school diploma.
3. The person who loves the boquet of lilies is the person who has brown hair.
4. The person's child is named Bella is Arnold.
5. The person who loves science fiction books is the person's child is named Fred.
6. The person's child is named Fred is the person who loves the boquet of lilies.
7. The person who has black hair is the person with an associate's degree.
8. The person's child is named Meredith is not in the first house.
9. The person with a high school diploma is the person who loves a carnations arrangement.
10. Peter is not in the third house.
 What is the value of attribute Children for the person whose attribute Education is high school? Please reason step by step, and put your final answer within \boxed{}

Answer: Meredith


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Eric`, `Peter`
 - People have unique favorite book genres: `science fiction`, `mystery`, `romance`
 - Each mother is accompanied by their child: `Bella`, `Fred`, `Meredith`
 - People have unique hair colors: `black`, `blonde`, `brown`
 - Each person has a unique level of education: `high school`, `associate`, `bachelor`
 - They all have a unique favorite flower: `daffodils`, `lilies`, `carnations`

## Clues:
1. The person who loves the boquet of lilies is directly left of the person who loves romance books.
2. Peter is the person with a high school diploma.
3. The person who loves the boquet of lilies is the person who has brown hair.
4. The person's child is named Bella is Arnold.
5. The person who loves science fiction books is the person's child is named Fred.
6. The person's child is named Fred is the person who loves the boquet of lilies.
7. The person who has black hair is the person with an associate's degree.
8. The person's child is named Meredith is not in the first house.
9. The person with a high school diploma is the person who loves a carnations arrangement.
10. Peter is not in the third house.
 What is the value of attribute Flower for the person whose attribute House is 1? Please reason step by step, and put your final answer within \boxed{}

Answer: lilies


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Bob`, `Arnold`, `Carol`
 - Everyone has a unique favorite cigar: `pall mall`, `yellow monster`, `dunhill`, `blue master`, `prince`, `blends`
 - People have unique favorite music genres: `hip hop`, `jazz`, `country`, `pop`, `classical`, `rock`
 - Each person has a unique favorite drink: `water`, `milk`, `boba tea`, `tea`, `root beer`, `coffee`
 - The mothers' names in different houses are unique: `Kailyn`, `Penny`, `Janelle`, `Holly`, `Sarah`, `Aniya`
 - Everyone has something unique for lunch: `soup`, `pizza`, `spaghetti`, `stir fry`, `stew`, `grilled cheese`

## Clues:
1. Carol is directly left of the person who loves eating grilled cheese.
2. Eric is not in the second house.
3. The person whose mother's name is Holly is somewhere to the right of Carol.
4. The person who loves eating grilled cheese is somewhere to the right of the person who loves rock music.
5. Eric is directly left of Carol.
6. The person who loves pop music is not in the third house.
7. Eric is the person who loves country music.
8. The person who loves classical music is in the sixth house.
9. The coffee drinker is Bob.
10. The person who smokes many unique blends is Peter.
11. The person who loves the stew is not in the fifth house.
12. The root beer lover is directly left of The person whose mother's name is Janelle.
13. There are two houses between The person whose mother's name is Sarah and the person who smokes Yellow Monster.
14. Eric is the tea drinker.
15. The person partial to Pall Mall is somewhere to the right of the person who loves stir fry.
16. The person who loves the soup is Bob.
17. The person who loves hip-hop music is directly left of The person whose mother's name is Kailyn.
18. Arnold is somewhere to the right of The person whose mother's name is Kailyn.
19. The one who only drinks water is directly left of the person who smokes Blue Master.
20. The person who loves the spaghetti eater is somewhere to the left of the person who smokes many unique blends.
21. The person whose mother's name is Sarah is directly left of the person who loves jazz music.
22. The person who loves hip-hop music is directly left of the root beer lover.
23. The one who only drinks water is the person who loves the stew.
24. The Dunhill smoker is not in the second house.
25. The person who likes milk is The person whose mother's name is Janelle.
26. Eric is The person whose mother's name is Aniya.
 What is the value of attribute Mother for the person whose attribute Food is stew? Please reason step by step, and put your final answer within \boxed{}

Answer: Penny


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Bob`, `Alice`, `Eric`, `Peter`
 - People use unique phone models: `huawei p50`, `iphone 13`, `samsung galaxy s21`, `google pixel 6`, `oneplus 9`
 - People have unique hair colors: `red`, `brown`, `gray`, `blonde`, `black`
 - Everyone has a favorite smoothie: `dragonfruit`, `watermelon`, `cherry`, `desert`, `lime`
 - Each person has a unique hobby: `knitting`, `photography`, `gardening`, `painting`, `cooking`
 - They all have a unique favorite flower: `daffodils`, `tulips`, `roses`, `carnations`, `lilies`

## Clues:
1. Bob is the person who loves the vase of tulips.
2. The person who has red hair is Bob.
3. The person who loves a bouquet of daffodils is the person who uses a Google Pixel 6.
4. The person who likes Cherry smoothies is the person who enjoys gardening.
5. The person who uses a Google Pixel 6 is somewhere to the right of the person who loves a carnations arrangement.
6. The person who has brown hair and the person who loves a carnations arrangement are next to each other.
7. The person who paints as a hobby is somewhere to the left of the person who loves cooking.
8. The person who uses an iPhone 13 is somewhere to the left of the person who loves a carnations arrangement.
9. The person who has brown hair is somewhere to the right of the person who uses a OnePlus 9.
10. The person who paints as a hobby is Peter.
11. Eric is directly left of the person who uses an iPhone 13.
12. The person who uses a OnePlus 9 is directly left of the person who uses a Samsung Galaxy S21.
13. Arnold is the person who drinks Lime smoothies.
14. The person who has red hair is the person who enjoys gardening.
15. The Dragonfruit smoothie lover and the Desert smoothie lover are next to each other.
16. The person who has brown hair is directly left of the Desert smoothie lover.
17. The person who loves the boquet of lilies is directly left of the person who loves a carnations arrangement.
18. The person who drinks Lime smoothies is the person who has black hair.
19. The person who uses a Huawei P50 is the person who has gray hair.
20. The person who drinks Lime smoothies is the photography enthusiast.
 What is the value of attribute Smoothie for the person whose attribute Flower is roses? Please reason step by step, and put your final answer within \boxed{}

Answer: watermelon


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Arnold`, `Carol`, `Peter`, `Bob`, `Eric`
 - People use unique phone models: `huawei p50`, `iphone 13`, `xiaomi mi 11`, `oneplus 9`, `samsung galaxy s21`, `google pixel 6`

## Clues:
1. The person who uses an iPhone 13 is Alice.
2. The person who uses a Huawei P50 is in the first house.
3. The person who uses a OnePlus 9 is in the sixth house.
4. The person who uses a Google Pixel 6 is not in the second house.
5. The person who uses an iPhone 13 is not in the second house.
6. There is one house between Bob and Carol.
7. The person who uses a Huawei P50 is Eric.
8. The person who uses a Xiaomi Mi 11 is in the third house.
9. Alice is somewhere to the left of Carol.
10. Arnold is the person who uses a OnePlus 9.
 What is the value of attribute House for the person whose attribute PhoneModel is iphone 13? Please reason step by step, and put your final answer within \boxed{}

Answer: 4


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Alice`, `Bob`, `Eric`, `Arnold`
 - The people are of nationalities: `dane`, `swede`, `norwegian`, `brit`, `german`
 - Everyone has a favorite smoothie: `desert`, `cherry`, `watermelon`, `dragonfruit`, `lime`
 - They all have a unique favorite flower: `tulips`, `roses`, `daffodils`, `carnations`, `lilies`
 - Each person lives in a unique style of house: `ranch`, `modern`, `victorian`, `colonial`, `craftsman`
 - The people keep unique animals: `dog`, `horse`, `bird`, `fish`, `cat`

## Clues:
1. The person living in a colonial-style house is Peter.
2. The person who keeps horses is the person who drinks Lime smoothies.
3. Alice is the British person.
4. The Swedish person is in the first house.
5. The person who keeps horses and the dog owner are next to each other.
6. There is one house between the person in a Craftsman-style house and the Dane.
7. The person who loves the boquet of lilies is directly left of the fish enthusiast.
8. The person who loves the boquet of lilies is the person in a modern-style house.
9. The Desert smoothie lover is in the first house.
10. The person residing in a Victorian house is somewhere to the right of the Watermelon smoothie lover.
11. The person who loves a bouquet of daffodils is Alice.
12. The Dragonfruit smoothie lover is not in the third house.
13. The person who loves a carnations arrangement is the German.
14. The Dragonfruit smoothie lover is Eric.
15. Bob is somewhere to the right of the person who loves the rose bouquet.
16. The Watermelon smoothie lover is the Norwegian.
17. Bob is the person in a modern-style house.
18. The person residing in a Victorian house is not in the fifth house.
19. The person who loves a carnations arrangement is somewhere to the left of the person in a modern-style house.
20. The Desert smoothie lover is the bird keeper.
 What is the value of attribute Animal for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: fish


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Carol`, `Eric`, `Peter`, `Bob`, `Arnold`
 - People have unique favorite music genres: `classical`, `hip hop`, `jazz`, `pop`, `rock`, `country`
 - The mothers' names in different houses are unique: `Sarah`, `Penny`, `Aniya`, `Janelle`, `Kailyn`, `Holly`
 - Each mother is accompanied by their child: `Alice`, `Fred`, `Timothy`, `Bella`, `Samantha`, `Meredith`
 - People have unique heights: `very short`, `tall`, `short`, `very tall`, `super tall`, `average`
 - The people keep unique animals: `bird`, `dog`, `horse`, `rabbit`, `cat`, `fish`

## Clues:
1. The person who loves pop music is the cat lover.
2. The rabbit owner is directly left of The person whose mother's name is Aniya.
3. The person whose mother's name is Holly is directly left of Carol.
4. The person whose mother's name is Holly is the person's child is named Alice.
5. The person whose mother's name is Holly is the person who loves classical music.
6. The person who loves jazz music is The person whose mother's name is Sarah.
7. The person's child is named Meredith is somewhere to the right of The person whose mother's name is Aniya.
8. The person who is super tall is The person whose mother's name is Holly.
9. The person who is the mother of Timothy is Bob.
10. The person who is very short is somewhere to the left of The person whose mother's name is Aniya.
11. Eric is the fish enthusiast.
12. The person's child is named Samantha is somewhere to the right of the person who is very tall.
13. The person who loves rock music is The person whose mother's name is Janelle.
14. There is one house between the person who keeps horses and the person's child is named Meredith.
15. The person's child is named Bella is somewhere to the right of Peter.
16. The fish enthusiast is somewhere to the left of the bird keeper.
17. The fish enthusiast is somewhere to the right of the person's child is named Alice.
18. There is one house between the person's child is named Bella and the person who loves rock music.
19. The person who is short is the cat lover.
20. Alice is directly left of the person who loves classical music.
21. The person's child is named Bella is The person whose mother's name is Aniya.
22. There are two houses between The person whose mother's name is Penny and the person who is short.
23. The person who loves hip-hop music is in the first house.
24. Carol is the person who is tall.
 What is the value of attribute House for the person whose attribute Animal is dog? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Carol`, `Peter`, `Arnold`, `Bob`, `Eric`, `Alice`
 - People use unique phone models: `iphone 13`, `google pixel 6`, `oneplus 9`, `huawei p50`, `samsung galaxy s21`, `xiaomi mi 11`
 - People have unique hair colors: `gray`, `auburn`, `red`, `brown`, `black`, `blonde`
 - Each person has a unique favorite drink: `coffee`, `water`, `root beer`, `tea`, `milk`, `boba tea`
 - People have unique favorite music genres: `classical`, `jazz`, `rock`, `country`, `hip hop`, `pop`

## Clues:
1. Alice is the person who uses a Huawei P50.
2. The person who uses a Xiaomi Mi 11 is somewhere to the left of the one who only drinks water.
3. The one who only drinks water is somewhere to the left of Bob.
4. Carol is the person who has gray hair.
5. Eric is the tea drinker.
6. The person who has black hair is not in the sixth house.
7. The person who uses a Samsung Galaxy S21 is directly left of the person who loves classical music.
8. The person who uses a OnePlus 9 is not in the third house.
9. Alice is somewhere to the right of Carol.
10. The person who loves jazz music is Alice.
11. The person who loves jazz music is the boba tea drinker.
12. There is one house between the person who uses a OnePlus 9 and Eric.
13. The person who has brown hair is the person who loves hip-hop music.
14. The person who loves pop music is not in the first house.
15. The root beer lover is in the second house.
16. Eric is the person who uses an iPhone 13.
17. The person who has red hair is the person who uses an iPhone 13.
18. The person who has red hair and the coffee drinker are next to each other.
19. Peter is in the first house.
20. Arnold is somewhere to the right of the person who has auburn hair.
21. The person who has gray hair is not in the second house.
22. The person who loves country music is in the fifth house.
 What is the value of attribute PhoneModel for the person whose attribute House is 6? Please reason step by step, and put your final answer within \boxed{}

Answer: huawei p50


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Peter`, `Bob`, `Eric`, `Arnold`
 - Each person has a unique level of education: `master`, `bachelor`, `doctorate`, `high school`, `associate`
 - Each person has a favorite color: `yellow`, `green`, `blue`, `red`, `white`
 - Each person prefers a unique type of vacation: `mountain`, `camping`, `cruise`, `beach`, `city`
 - People use unique phone models: `huawei p50`, `google pixel 6`, `iphone 13`, `oneplus 9`, `samsung galaxy s21`

## Clues:
1. Alice is the person with a master's degree.
2. The person who uses a OnePlus 9 is the person with a doctorate.
3. The person who loves blue is somewhere to the left of Bob.
4. The person who prefers city breaks is Peter.
5. The person who loves beach vacations is the person whose favorite color is green.
6. The person who loves white is the person who uses an iPhone 13.
7. The person who uses a OnePlus 9 is the person who enjoys mountain retreats.
8. The person who uses a Huawei P50 is somewhere to the left of the person whose favorite color is red.
9. The person who loves beach vacations is not in the first house.
10. Alice is in the fourth house.
11. Eric and Peter are next to each other.
12. Alice is the person whose favorite color is red.
13. There is one house between Peter and the person who uses a OnePlus 9.
14. The person with a bachelor's degree is the person who uses a Samsung Galaxy S21.
15. The person who enjoys camping trips is the person who loves blue.
16. The person who loves beach vacations is the person with a high school diploma.
 What is the value of attribute Education for the person whose attribute House is 2? Please reason step by step, and put your final answer within \boxed{}

Answer: high school


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Carol`, `Peter`, `Alice`, `Eric`, `Arnold`, `Bob`
 - Each person lives in a unique style of house: `ranch`, `colonial`, `victorian`, `mediterranean`, `craftsman`, `modern`
 - People own unique car models: `tesla model 3`, `toyota camry`, `ford f150`, `chevrolet silverado`, `bmw 3 series`, `honda civic`
 - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Kailyn`, `Penny`, `Sarah`, `Holly`

## Clues:
1. The person whose mother's name is Penny is directly left of The person whose mother's name is Aniya.
2. Peter is in the sixth house.
3. The person who owns a Chevrolet Silverado is The person whose mother's name is Penny.
4. The person whose mother's name is Sarah is not in the fifth house.
5. There is one house between the person who owns a Honda Civic and the person who owns a Toyota Camry.
6. The person in a Craftsman-style house is somewhere to the right of the person in a ranch-style home.
7. Eric is somewhere to the left of The person whose mother's name is Sarah.
8. The person residing in a Victorian house is Carol.
9. The person who owns a Ford F-150 is the person in a Mediterranean-style villa.
10. The person whose mother's name is Kailyn is somewhere to the left of the person who owns a Ford F-150.
11. Bob is The person whose mother's name is Janelle.
12. The person who owns a BMW 3 Series is somewhere to the left of Eric.
13. The person whose mother's name is Holly is the person in a modern-style house.
14. The person who owns a Tesla Model 3 is not in the second house.
15. The person who owns a Toyota Camry is somewhere to the right of Eric.
16. The person who owns a Honda Civic is in the fourth house.
17. The person in a Craftsman-style house is the person who owns a Chevrolet Silverado.
18. Arnold is the person who owns a Ford F-150.
 What is the value of attribute Mother for the person whose attribute Name is Alice? Please reason step by step, and put your final answer within \boxed{}

Answer: Kailyn


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Arnold`, `Alice`, `Peter`, `Eric`
 - Each person has a unique hobby: `cooking`, `gardening`, `painting`, `photography`, `knitting`
 - People have unique favorite sports: `swimming`, `tennis`, `soccer`, `baseball`, `basketball`
 - Each person lives in a unique style of house: `ranch`, `craftsman`, `victorian`, `modern`, `colonial`
 - Each mother is accompanied by their child: `Timothy`, `Samantha`, `Bella`, `Meredith`, `Fred`
 - People have unique heights: `average`, `very tall`, `very short`, `short`, `tall`

## Clues:
1. The person who has an average height is the person's child is named Meredith.
2. The person who is tall is in the second house.
3. Peter is directly left of the person residing in a Victorian house.
4. Alice is the person who is tall.
5. The person who loves baseball is the person who is very tall.
6. The person's child is named Meredith and the person who is the mother of Timothy are next to each other.
7. Bob is the person who paints as a hobby.
8. The person who enjoys gardening is in the second house.
9. The person who is very short is somewhere to the right of Eric.
10. The person who loves tennis is the person's child is named Samantha.
11. The person who loves soccer is not in the first house.
12. The person's child is named Samantha is the person in a modern-style house.
13. The person in a Craftsman-style house is the person who has an average height.
14. The person's child is named Fred is the person residing in a Victorian house.
15. The person who is short is the person who loves basketball.
16. Peter is the person who is very tall.
17. The person in a ranch-style home is somewhere to the left of the person who loves cooking.
18. The person who enjoys knitting and the person who enjoys gardening are next to each other.
19. The person in a modern-style house is the person who loves cooking.
20. The person residing in a Victorian house is in the fifth house.
 What is the value of attribute Hobby for the person whose attribute FavoriteSport is basketball? Please reason step by step, and put your final answer within \boxed{}

Answer: painting


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Bob`, `Carol`, `Eric`
 - People have unique hair colors: `red`, `brown`, `blonde`, `black`, `gray`, `auburn`
 - Each person has an occupation: `engineer`, `lawyer`, `nurse`, `doctor`, `artist`, `teacher`

## Clues:
1. The person who has brown hair is not in the second house.
2. Alice is not in the fourth house.
3. The person who is an artist is Bob.
4. The person who has gray hair is the person who is a doctor.
5. Bob is the person who has auburn hair.
6. The person who is a doctor and Bob are next to each other.
7. The person who is an engineer is directly left of Alice.
8. Arnold is directly left of the person who is a lawyer.
9. Bob is directly left of the person who is a teacher.
10. Peter is somewhere to the right of the person who has brown hair.
11. Arnold is not in the second house.
12. The person who has black hair is Arnold.
13. The person who is a doctor is somewhere to the right of the person who has red hair.
14. The person who has brown hair and Carol are next to each other.
15. Arnold is somewhere to the left of the person who is a doctor.
 What is the value of attribute House for the person whose attribute Occupation is teacher? Please reason step by step, and put your final answer within \boxed{}

Answer: 6


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Carol`, `Eric`, `Bob`, `Peter`, `Arnold`, `Alice`
 - Each person prefers a unique type of vacation: `cultural`, `beach`, `mountain`, `cruise`, `camping`, `city`
 - The people are of nationalities: `chinese`, `brit`, `norwegian`, `swede`, `dane`, `german`
 - Everyone has a favorite smoothie: `lime`, `desert`, `watermelon`, `blueberry`, `dragonfruit`, `cherry`

## Clues:
1. The person who likes Cherry smoothies is the person who enjoys mountain retreats.
2. Eric is the Dane.
3. The German is Peter.
4. The Desert smoothie lover is in the sixth house.
5. The Swedish person is the Dragonfruit smoothie lover.
6. Arnold is the Dragonfruit smoothie lover.
7. The Watermelon smoothie lover is the British person.
8. The Norwegian is the person who enjoys camping trips.
9. The person who likes going on cruises is the British person.
10. There are two houses between Bob and the person who enjoys camping trips.
11. The person who drinks Blueberry smoothies is directly left of the person who goes on cultural tours.
12. Bob is directly left of the Dragonfruit smoothie lover.
13. The person who likes going on cruises is directly left of Peter.
14. The person who prefers city breaks is not in the sixth house.
15. Carol is in the fifth house.
 What is the value of attribute Smoothie for the person whose attribute Nationality is norwegian? Please reason step by step, and put your final answer within \boxed{}

Answer: lime


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Carol`, `Arnold`, `Bob`, `Alice`, `Peter`, `Eric`
 - People use unique phone models: `samsung galaxy s21`, `oneplus 9`, `google pixel 6`, `iphone 13`, `xiaomi mi 11`, `huawei p50`
 - Each person has a unique type of pet: `dog`, `cat`, `fish`, `rabbit`, `hamster`, `bird`
 - They all have a unique favorite flower: `daffodils`, `tulips`, `carnations`, `lilies`, `iris`, `roses`
 - People own unique car models: `toyota camry`, `chevrolet silverado`, `bmw 3 series`, `tesla model 3`, `honda civic`, `ford f150`

## Clues:
1. There is one house between the person who owns a Tesla Model 3 and the person who uses a OnePlus 9.
2. There are two houses between the person who owns a dog and the person who owns a Honda Civic.
3. There is one house between the person who uses an iPhone 13 and the person who uses a Xiaomi Mi 11.
4. The person who loves the vase of tulips is somewhere to the right of the person who loves a bouquet of daffodils.
5. The person who owns a Chevrolet Silverado is directly left of the person who loves the rose bouquet.
6. Alice is the person who owns a dog.
7. There are two houses between the person who uses a Google Pixel 6 and the person who uses a Huawei P50.
8. There are two houses between the person who owns a Ford F-150 and the person who loves the boquet of lilies.
9. The person who uses a Google Pixel 6 is somewhere to the left of the person who has a cat.
10. The person who loves a bouquet of daffodils is not in the first house.
11. There is one house between the person with a pet hamster and the person who has a cat.
12. The person who uses a OnePlus 9 is Peter.
13. The person who uses a Xiaomi Mi 11 is the person who has a cat.
14. The person who loves the boquet of lilies is Eric.
15. The person who owns a Tesla Model 3 and the person who uses a Google Pixel 6 are next to each other.
16. The person who owns a rabbit is not in the second house.
17. The person who loves a carnations arrangement is in the second house.
18. The person who loves the boquet of lilies is somewhere to the right of the person who owns a Honda Civic.
19. There are two houses between Arnold and the person who owns a Chevrolet Silverado.
20. There are two houses between Peter and Bob.
21. The person who keeps a pet bird is in the fifth house.
22. The person who owns a Toyota Camry is the person who has a cat.
 What is the value of attribute Flower for the person whose attribute Pet is dog? Please reason step by step, and put your final answer within \boxed{}

Answer: iris


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`
 - The mothers' names in different houses are unique: `Holly`, `Kailyn`, `Janelle`, `Aniya`
 - They all have a unique favorite flower: `carnations`, `roses`, `lilies`, `daffodils`

## Clues:
1. Alice is The person whose mother's name is Kailyn.
2. The person whose mother's name is Janelle is somewhere to the right of Arnold.
3. Peter is somewhere to the right of the person who loves a carnations arrangement.
4. Eric is the person who loves a bouquet of daffodils.
5. Arnold is The person whose mother's name is Holly.
6. The person who loves a carnations arrangement is somewhere to the right of The person whose mother's name is Holly.
7. The person who loves the boquet of lilies is directly left of Alice.
8. Alice is in the third house.
 What is the value of attribute Flower for the person whose attribute House is 4? Please reason step by step, and put your final answer within \boxed{}

Answer: roses


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Arnold`, `Peter`, `Eric`, `Alice`
 - They all have a unique favorite flower: `lilies`, `daffodils`, `carnations`, `roses`, `tulips`
 - Each person has an occupation: `artist`, `doctor`, `lawyer`, `teacher`, `engineer`
 - Everyone has a favorite smoothie: `lime`, `watermelon`, `cherry`, `dragonfruit`, `desert`
 - People own unique car models: `honda civic`, `ford f150`, `bmw 3 series`, `toyota camry`, `tesla model 3`

## Clues:
1. Arnold is the person who is an artist.
2. The person who is a doctor is the person who loves the rose bouquet.
3. Bob is the person who loves a carnations arrangement.
4. The person who owns a BMW 3 Series is Arnold.
5. The person who loves the boquet of lilies is somewhere to the right of Alice.
6. The Watermelon smoothie lover is somewhere to the left of the person who drinks Lime smoothies.
7. The person who is a lawyer is the person who owns a Toyota Camry.
8. The person who loves the boquet of lilies is Arnold.
9. There are two houses between Bob and the person who owns a Honda Civic.
10. The person who owns a Tesla Model 3 is in the third house.
11. Peter is directly left of the person who loves the boquet of lilies.
12. The Desert smoothie lover is the person who is a teacher.
13. The person who is an artist and the Dragonfruit smoothie lover are next to each other.
14. The person who is a doctor is the Watermelon smoothie lover.
15. The person who loves the vase of tulips is directly left of the person who owns a Toyota Camry.
 What is the value of attribute Flower for the person whose attribute Occupation is teacher? Please reason step by step, and put your final answer within \boxed{}

Answer: tulips


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Bob`, `Carol`, `Alice`
 - The people keep unique animals: `horse`, `bird`, `fish`, `cat`, `rabbit`, `dog`
 - Each person lives in a unique style of house: `modern`, `colonial`, `victorian`, `ranch`, `craftsman`, `mediterranean`
 - Each person has an occupation: `engineer`, `lawyer`, `artist`, `nurse`, `doctor`, `teacher`

## Clues:
1. The person who is a teacher is the person in a Craftsman-style house.
2. Bob is in the second house.
3. There are two houses between the person residing in a Victorian house and Eric.
4. The cat lover is directly left of the person who keeps horses.
5. The person who is an engineer is somewhere to the left of the person in a modern-style house.
6. The person in a Craftsman-style house is directly left of the person who is an artist.
7. The person in a Mediterranean-style villa is somewhere to the right of the person who is a doctor.
8. The dog owner is not in the first house.
9. The person in a Mediterranean-style villa is somewhere to the left of the cat lover.
10. The person in a ranch-style home is in the sixth house.
11. The person in a Mediterranean-style villa is Alice.
12. The fish enthusiast is the person in a ranch-style home.
13. The bird keeper is the person in a modern-style house.
14. The person living in a colonial-style house is Peter.
15. The person who is a lawyer is Arnold.
 What is the value of attribute House for the person whose attribute Animal is bird? Please reason step by step, and put your final answer within \boxed{}

Answer: 2


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Bob`, `Alice`, `Eric`, `Peter`
 - People use unique phone models: `huawei p50`, `iphone 13`, `samsung galaxy s21`, `google pixel 6`, `oneplus 9`
 - People have unique hair colors: `red`, `brown`, `gray`, `blonde`, `black`
 - Everyone has a favorite smoothie: `dragonfruit`, `watermelon`, `cherry`, `desert`, `lime`
 - Each person has a unique hobby: `knitting`, `photography`, `gardening`, `painting`, `cooking`
 - They all have a unique favorite flower: `daffodils`, `tulips`, `roses`, `carnations`, `lilies`

## Clues:
1. Bob is the person who loves the vase of tulips.
2. The person who has red hair is Bob.
3. The person who loves a bouquet of daffodils is the person who uses a Google Pixel 6.
4. The person who likes Cherry smoothies is the person who enjoys gardening.
5. The person who uses a Google Pixel 6 is somewhere to the right of the person who loves a carnations arrangement.
6. The person who has brown hair and the person who loves a carnations arrangement are next to each other.
7. The person who paints as a hobby is somewhere to the left of the person who loves cooking.
8. The person who uses an iPhone 13 is somewhere to the left of the person who loves a carnations arrangement.
9. The person who has brown hair is somewhere to the right of the person who uses a OnePlus 9.
10. The person who paints as a hobby is Peter.
11. Eric is directly left of the person who uses an iPhone 13.
12. The person who uses a OnePlus 9 is directly left of the person who uses a Samsung Galaxy S21.
13. Arnold is the person who drinks Lime smoothies.
14. The person who has red hair is the person who enjoys gardening.
15. The Dragonfruit smoothie lover and the Desert smoothie lover are next to each other.
16. The person who has brown hair is directly left of the Desert smoothie lover.
17. The person who loves the boquet of lilies is directly left of the person who loves a carnations arrangement.
18. The person who drinks Lime smoothies is the person who has black hair.
19. The person who uses a Huawei P50 is the person who has gray hair.
20. The person who drinks Lime smoothies is the photography enthusiast.
 What is the value of attribute HairColor for the person whose attribute Hobby is cooking? Please reason step by step, and put your final answer within \boxed{}

Answer: gray


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Bob`, `Alice`, `Eric`, `Peter`, `Carol`
 - People have unique favorite sports: `volleyball`, `soccer`, `basketball`, `baseball`, `swimming`, `tennis`
 - Each person has a unique hobby: `gardening`, `cooking`, `painting`, `woodworking`, `knitting`, `photography`
 - Each mother is accompanied by their child: `Bella`, `Meredith`, `Alice`, `Samantha`, `Fred`, `Timothy`
 - Each person has a unique birthday month: `feb`, `jan`, `mar`, `may`, `sept`, `april`
 - Everyone has something unique for lunch: `stir fry`, `grilled cheese`, `pizza`, `spaghetti`, `stew`, `soup`

## Clues:
1. The person who loves soccer is somewhere to the right of Eric.
2. The person who paints as a hobby is somewhere to the left of the woodworking hobbyist.
3. The person whose birthday is in February is not in the third house.
4. The person who is the mother of Timothy is directly left of Arnold.
5. The person who loves cooking is somewhere to the left of the person's child is named Fred.
6. Alice is the person who paints as a hobby.
7. The person's child is named Alice is the person who loves cooking.
8. The person whose birthday is in March is the person's child is named Samantha.
9. The person who loves the soup is the person whose birthday is in May.
10. Carol is somewhere to the right of the person whose birthday is in May.
11. The person whose birthday is in March and the person who is a pizza lover are next to each other.
12. The person whose birthday is in February is not in the fourth house.
13. There are two houses between the person who loves baseball and the person who loves the stew.
14. The person whose birthday is in May is somewhere to the left of the person who loves volleyball.
15. The person whose birthday is in January is somewhere to the right of Arnold.
16. The person who loves cooking is not in the third house.
17. The person who enjoys knitting is the person whose birthday is in September.
18. The person who enjoys gardening is the person's child is named Meredith.
19. The person who is a pizza lover is the person who loves swimming.
20. There is one house between the person who loves basketball and the person whose birthday is in May.
21. The person who loves the soup is directly left of the person who loves the spaghetti eater.
22. The person who loves the stew is the person's child is named Bella.
23. The person who enjoys knitting is somewhere to the left of the person who loves the soup.
24. Bob is somewhere to the left of the person who loves the stew.
25. Arnold is the person who loves stir fry.
26. The woodworking hobbyist is directly left of the person who loves the soup.
 What is the value of attribute Children for the person whose attribute Name is Arnold? Please reason step by step, and put your final answer within \boxed{}

Answer: Meredith


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Arnold`, `Eric`
 - People have unique favorite sports: `soccer`, `basketball`, `tennis`
 - The people keep unique animals: `cat`, `bird`, `horse`
 - Each person has a unique favorite drink: `water`, `tea`, `milk`
 - The people are of nationalities: `swede`, `dane`, `brit`

## Clues:
1. The person who likes milk is not in the first house.
2. The person who keeps horses is somewhere to the left of Eric.
3. The person who loves basketball is Peter.
4. The Swedish person is somewhere to the left of the one who only drinks water.
5. The person who loves tennis is the tea drinker.
6. The person who loves soccer is the bird keeper.
7. The cat lover is the British person.
8. Peter is not in the third house.
9. The person who likes milk is the person who loves soccer.
 What is the value of attribute Drink for the person whose attribute Nationality is dane? Please reason step by step, and put your final answer within \boxed{}

Answer: milk


A movie marathon started at 3:00 p.m. and lasted for 1575 minutes.  Determine the time at which the movie marathon ended.

Answer: 5:15 \text{ p.m. the next day}


Two objects start from points $A$ and $B$, and move towards each other. If the total distance between $A$ and $B$ is $m$ and the product of the individual distances traveled before meeting is $n^2$, determine the polynomial whose roots are the distances traveled by each object from $A$ and $B$ before meeting.

Answer: x^2 - mx + n^2


Maria begins her work at 7:45 A.M. instead of 7:25 A.M. She still takes her lunch break at noon, but now her lunch lasts 1 hour and 15 minutes. Her working day is 9 hours long. Determine the end time of her working day.

Answer: 6:00 \text{ P.M.}


There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Eric`
 - The people keep unique animals: `horse`, `cat`
 - Each person has a favorite color: `yellow`, `red`
 - Everyone has a favorite smoothie: `cherry`, `desert`
 - People have unique favorite book genres: `science fiction`, `mystery`
 - Everyone has something unique for lunch: `pizza`, `grilled cheese`

## Clues:
1. Eric is the person whose favorite color is red.
2. The Desert smoothie lover is in the second house.
3. The cat lover is the person who loves eating grilled cheese.
4. Arnold is in the second house.
5. The person who keeps horses is somewhere to the left of the person who loves mystery books.
 What is the value of attribute Color for the person whose attribute Name is Arnold? Please reason step by step, and put your final answer within \boxed{}

Answer: yellow


There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Arnold`
 - Each person has a unique level of education: `associate`, `high school`
 - Each person has a unique hobby: `gardening`, `photography`
 - Each mother is accompanied by their child: `Fred`, `Bella`
 - People have unique favorite music genres: `rock`, `pop`
 - Each person has a unique type of pet: `dog`, `cat`

## Clues:
1. Eric is the person who loves rock music.
2. The person with a high school diploma is in the second house.
3. The person's child is named Bella is the person who has a cat.
4. The person who loves rock music is the person with a high school diploma.
5. The person who has a cat is directly left of the photography enthusiast.
 What is the value of attribute MusicGenre for the person whose attribute Education is associate? Please reason step by step, and put your final answer within \boxed{}

Answer: pop


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Eric`, `Arnold`
 - Each person has a unique hobby: `photography`, `cooking`, `gardening`

## Clues:
1. Eric is somewhere to the left of the person who enjoys gardening.
2. Arnold is not in the third house.
3. Arnold is not in the second house.
4. Eric is the photography enthusiast.
 What is the value of attribute House for the person whose attribute Name is Arnold? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Peter`, `Bob`, `Eric`, `Arnold`
 - Everyone has a favorite smoothie: `lime`, `dragonfruit`, `desert`, `watermelon`, `cherry`
 - The people keep unique animals: `horse`, `dog`, `bird`, `fish`, `cat`
 - The people are of nationalities: `german`, `swede`, `norwegian`, `brit`, `dane`

## Clues:
1. The Swedish person is directly left of the dog owner.
2. There are two houses between the dog owner and the British person.
3. The Dane is the person who keeps horses.
4. The bird keeper is somewhere to the right of the cat lover.
5. The dog owner is directly left of the person who drinks Lime smoothies.
6. Eric is the cat lover.
7. Bob is the bird keeper.
8. The person who likes Cherry smoothies is directly left of Peter.
9. The bird keeper is the Watermelon smoothie lover.
10. The Desert smoothie lover is the dog owner.
11. The person who keeps horses is in the third house.
12. The Norwegian is Alice.
 What is the value of attribute House for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`
 - Each person has a unique hobby: `cooking`, `painting`, `gardening`, `photography`
 - The people keep unique animals: `horse`, `fish`, `cat`, `bird`
 - People have unique favorite book genres: `fantasy`, `mystery`, `romance`, `science fiction`
 - Each person has a unique birthday month: `april`, `jan`, `sept`, `feb`
 - People have unique favorite music genres: `pop`, `rock`, `classical`, `jazz`

## Clues:
1. The person who loves cooking is the person who loves romance books.
2. The person whose birthday is in February is the person who loves pop music.
3. Eric is not in the second house.
4. The person who loves romance books is not in the fourth house.
5. The person whose birthday is in February is the fish enthusiast.
6. Alice is somewhere to the right of the person who loves fantasy books.
7. The person who keeps horses is the person who loves rock music.
8. The person who enjoys gardening is the person whose birthday is in April.
9. The person who loves jazz music is the person who loves cooking.
10. The person who loves rock music is the person who loves mystery books.
11. The person who paints as a hobby is directly left of the person who loves romance books.
12. Peter is the person who loves pop music.
13. The person who enjoys gardening is Arnold.
14. The person who loves rock music is directly left of the person whose birthday is in January.
15. The person who loves cooking is not in the third house.
16. The cat lover is somewhere to the right of the person who keeps horses.
 What is the value of attribute MusicGenre for the person whose attribute BookGenre is mystery? Please reason step by step, and put your final answer within \boxed{}

Answer: rock


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`
 - People use unique phone models: `samsung galaxy s21`, `oneplus 9`, `google pixel 6`, `iphone 13`
 - Everyone has a unique favorite cigar: `dunhill`, `prince`, `blue master`, `pall mall`
 - People have unique hair colors: `red`, `black`, `blonde`, `brown`
 - Each person has a favorite color: `white`, `yellow`, `red`, `green`

## Clues:
1. The person who uses an iPhone 13 is the person who has brown hair.
2. The person who has black hair is somewhere to the left of the Prince smoker.
3. The person who loves yellow is the person who smokes Blue Master.
4. The Dunhill smoker is the person who uses a OnePlus 9.
5. The person who uses a OnePlus 9 is directly left of the person who has red hair.
6. Alice is not in the second house.
7. The Prince smoker is somewhere to the left of the person who uses a OnePlus 9.
8. The person who smokes Blue Master is the person who uses a Samsung Galaxy S21.
9. Eric is the person who loves white.
10. The person who smokes Blue Master is directly left of the person whose favorite color is red.
11. The person partial to Pall Mall is Arnold.
 What is the value of attribute PhoneModel for the person whose attribute Cigar is pall mall? Please reason step by step, and put your final answer within \boxed{}

Answer: google pixel 6


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Peter`, `Carol`, `Bob`, `Alice`, `Arnold`
 - People have unique favorite music genres: `country`, `classical`, `jazz`, `hip hop`, `rock`, `pop`
 - Each person has a unique birthday month: `jan`, `feb`, `april`, `mar`, `sept`, `may`

## Clues:
1. Peter is in the first house.
2. The person who loves rock music is the person whose birthday is in January.
3. Arnold is in the fourth house.
4. The person whose birthday is in January is somewhere to the right of the person who loves classical music.
5. Eric is not in the sixth house.
6. The person whose birthday is in February is somewhere to the left of Eric.
7. Bob is the person whose birthday is in March.
8. There is one house between Bob and the person who loves jazz music.
9. The person who loves rock music and Carol are next to each other.
10. The person who loves country music is not in the sixth house.
11. Alice is directly left of the person whose birthday is in February.
12. The person who loves pop music is somewhere to the left of the person who loves country music.
13. The person whose birthday is in April is not in the first house.
14. The person who loves rock music and the person whose birthday is in September are next to each other.
15. The person who loves classical music is the person whose birthday is in March.
 What is the value of attribute MusicGenre for the person whose attribute Birthday is sept? Please reason step by step, and put your final answer within \boxed{}

Answer: hip hop


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Alice`, `Bob`, `Eric`, `Arnold`
 - The people are of nationalities: `norwegian`, `german`, `dane`, `brit`, `swede`
 - People have unique favorite book genres: `fantasy`, `biography`, `romance`, `mystery`, `science fiction`
 - Everyone has something unique for lunch: `stir fry`, `grilled cheese`, `pizza`, `spaghetti`, `stew`
 - Each person has a favorite color: `red`, `green`, `blue`, `yellow`, `white`
 - The people keep unique animals: `bird`, `dog`, `cat`, `horse`, `fish`

## Clues:
1. The person who loves fantasy books is the Norwegian.
2. The cat lover and the person who loves biography books are next to each other.
3. The German is Bob.
4. The person who loves yellow is Bob.
5. The person whose favorite color is green is Peter.
6. There is one house between the Dane and the person who is a pizza lover.
7. The person who loves blue is somewhere to the left of the Dane.
8. The person who loves eating grilled cheese is somewhere to the left of the Norwegian.
9. The person who loves the spaghetti eater is Peter.
10. The person who keeps horses is Alice.
11. The fish enthusiast is directly left of the person who loves science fiction books.
12. There is one house between the Norwegian and Arnold.
13. The person who loves romance books is the British person.
14. There are two houses between the Norwegian and Alice.
15. The bird keeper is the person whose favorite color is red.
16. The dog owner is directly left of the fish enthusiast.
17. The person who loves the stew is the Norwegian.
 What is the value of attribute House for the person whose attribute BookGenre is mystery? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`, `Bob`
 - Each person has a unique favorite drink: `root beer`, `tea`, `water`, `coffee`, `milk`
 - People have unique favorite music genres: `pop`, `hip hop`, `classical`, `jazz`, `rock`
 - The people are of nationalities: `dane`, `norwegian`, `swede`, `german`, `brit`
 - Everyone has a unique favorite cigar: `dunhill`, `prince`, `blue master`, `pall mall`, `blends`

## Clues:
1. The Dunhill smoker is not in the second house.
2. The person who loves rock music is directly left of the person who loves classical music.
3. Peter is the person who loves jazz music.
4. Arnold is directly left of the Dane.
5. The root beer lover is the German.
6. The tea drinker is the Swedish person.
7. The Swedish person is the person who loves classical music.
8. The Dunhill smoker is not in the fourth house.
9. The person who loves jazz music is the Prince smoker.
10. Eric and the person who loves hip-hop music are next to each other.
11. There are two houses between the person partial to Pall Mall and the Swedish person.
12. Arnold is somewhere to the right of Eric.
13. The coffee drinker is somewhere to the right of the Dunhill smoker.
14. The Norwegian is somewhere to the right of the person who smokes Blue Master.
15. There is one house between the one who only drinks water and the person who smokes many unique blends.
16. Alice is the tea drinker.
 What is the value of attribute MusicGenre for the person whose attribute Cigar is prince? Please reason step by step, and put your final answer within \boxed{}

Answer: jazz


The probability of event \( A \) occurring in each of 484 independent trials is 0.75. Find the probability that the relative frequency of event \( A \) deviates from its probability by no more than 0.03 in absolute value.

Answer: 0.872


Tycho wants to prepare a schedule for his jogging for the next few months. He wants to jog three times per week. Every week, he wants to jog on the same days of the week. He never wants to jog on two consecutive days. How many schedules can he choose from?

Answer: 7


16. Find all positive integers $n$ such that the equation
$$
\frac{1}{x_{1}^{2}}+\frac{1}{x_{2}^{2}}+\cdots+\frac{1}{x_{n}^{2}}=\frac{n+1}{x_{n+1}^{2}}
$$

has positive integer solutions.

Answer: n \geq 3


## Task 4 - 221224

Let $n \neq 0$ be a natural number. On a circle, there are $2 n$ pairwise distinct points $P_{1}, P_{2}, \ldots, P_{2 n}$ given.

We are looking for the number $A_{n}$ of all different ways to draw a set of $n$ chords such that the following conditions are met:

Each chord connects one of the points $P_{1}, P_{2}, \ldots, P_{2 n}$ with another of these points, and no two of these chords have a common point inside or on the boundary of the circle.

Two possibilities are considered different if and only if there is at least one pair of points $P_{i}, P_{j}$ that is connected by a chord in one of the two possibilities but not in the other.

a) Determine the number $A_{3}$ by providing several different possibilities for three chords for six points $P_{1}, P_{2}, \ldots, P_{6}$ and proving that all different possibilities of the required type are covered!

b) Determine a formula that can be used to calculate the number $A_{n}$ for any $n \geq 2$ from the numbers $A_{1}, \ldots, A_{n-1}$!

c) Determine the number $A_{5}$!

Answer: 5


54. As shown in the figure, a square is divided into two identical L-shapes. If the two L-shapes can form a rectangle with a perimeter of 26, find the area of this square.

Answer: 36


2nd Chinese 1987 Problem B3 A set of distinct positive integers has sum 1987. What is the maximum possible value for three times the total number of integers plus the number of odd integers?

Answer: 221


4. In a certain city, the fare scheme for traveling by metro with a card is as follows: the first trip costs 50 rubles, and each subsequent trip costs either the same as the previous one or one ruble less. Petya spent 345 rubles on several trips, and then on several subsequent trips - another 365 rubles. How many trips did he make?

![](https://cdn.mathpix.com/cropped/2024_05_06_2b53449d0d9627520abfg-1.jpg?height=328&width=350&top_left_y=1408&top_left_x=1213)

Answer: 15


7. The rules of a single-player card game are as follows: Place seven pairs of different cards into a backpack. The player randomly draws and returns cards each time, but when a pair is drawn, the paired cards are set aside. Each time, the player draws three cards (if there are fewer than three cards left, all remaining cards are drawn). If the three cards drawn are all different and do not form any pairs, the game ends; otherwise, drawing continues until the backpack is empty. What is the probability that the backpack is empty? $\qquad$

Answer: \dfrac{27}{5005}


# Problem 3.

Two swimmers are training in a rectangular quarry. The first swimmer finds it more convenient to exit at a corner of the quarry, so he swims along the diagonal to the opposite corner and back. The second swimmer finds it more convenient to start from a point that divides one of the quarry's shores in the ratio $2018: 2019$. He swims along a quadrilateral, visiting one point on each shore, and returns to the starting point. Can the second swimmer choose points on the other three shores such that his path is shorter than the first swimmer's? What is the minimum value that the ratio of the length of the longer path to the shorter can have?

Answer: 1


[ Arithmetic. Mental calculation, etc. ] [ Problems on percentages and ratios ]

Author: Raskina I.V.

Children went to the forest to pick mushrooms. If Anya gives half of her mushrooms to Vitya, all the children will have the same number of mushrooms, and if instead Anya gives all her mushrooms to Sasha, Sasha will have as many mushrooms as all the others combined. How many children went to pick mushrooms?

Answer: 6


We call a set \( S \) on the real line \(\mathbb{R}\) superinvariant if for any stretching \( A \) of the set by the transformation taking \( x \) to \( A(x) = x_0 + a(x - x_0) \) there exists a translation \( B \), \( B(x) = x + b \), such that the images of \( S \) under \( A \) and \( B \) agree; i.e., for any \( x \in S \) there is a \( y \in S \) such that \( A(x) = B(y) \) and for any \( t \in S \) there is a \( u \in S \) such that \( B(t) = A(u) \). Determine all superinvariant sets.
Remark: It is assumed that \( a > 0 \).

Answer: \mathbb{R}


Consider a composition of functions $\sin, \cos, \tan, \cot, \arcsin, \arccos, \arctan, \arccos$, applied to the number $1$. Each function may be applied arbitrarily many times and in any order. (ex: $\sin \cos \arcsin \cos \sin\cdots 1$). Can one obtain the number $2010$ in this way?

Answer: 2010


A rectangular playground that is 12 feet wide and 25 feet long is tiled with 300 two-foot square tiles. A bug starts walking from one corner of the rectangle to the diagonally opposite corner in a straight line. Including both the starting and ending tiles, calculate the number of tiles the bug visits.

Answer: 18


Last week, a bundle containing one can of soup and one loaf of bread cost $7.50 for 3 cans of soup and $5 for 2 loaves of bread, so calculate the price per item for each good. Then, this week, a bundle containing one can of soup and one loaf of bread costs $8 for 4 cans of soup and $6 for 3 loaves of bread, so calculate the price per item for each good. Calculate the percent decrease in price per item on average for a bundle containing one can of soup and one loaf of bread.

Answer: 20\%


The first two terms of a geometric progression are $4^{1/2}$ and $4^{1/3}$. The exponent in each subsequent term decreases by $1/6$ for the first two steps and then by $1/12$ thereafter. What is the fifth term of this geometric progression?

Answer: 1


Let $k > 1$, $\sin x > 0$, $\cos x > 0$, and $\log_k \csc x = d$, where $\csc x = \frac{1}{\sin x}$. Determine $\log_k \sec x$, where $\sec x = \frac{1}{\cos x}$.

Answer: -\frac{1}{2} \log_k \left(1 - k^{-2d}\right)


Shauna takes six tests, each worth a maximum of 100 points. Her scores on the first three tests are 82, 90, and 88. In order to average 85 for all six tests, and knowing that she wants one of her remaining tests to be between 70 and 85 points, determine the lowest score she could earn on one of the other tests.

Answer: 65


Four unit squares are arranged to form a larger square. If $A$, $B$, and $C$ are vertices such that $A$ is at the top left corner of the top left square, $B$ is at the top right corner of the top right square, and $C$ is at the bottom right corner of the bottom right square, calculate the area of $\triangle ABC$.

Answer: 2


A rectangular grazing area is fenced on three sides using part of a 150 meter rock wall as the fourth side. The area needs to be 50 m by 70 m. Calculate the fewest number of fence posts required.

Answer: 18


Given triangle $XYZ$ where $XY=30$, $XZ=15$, the area of the triangle is $90$. Let $M$ be the midpoint of $\overline{XY}$, and let $N$ be the midpoint of $\overline{XZ}$. The angle bisector of $\angle XYZ$ intersects $\overline{MN}$ and $\overline{YZ}$ at $P$ and $Q$, respectively. Calculate the area of quadrilateral $MPQY$.

Answer: 45


A symposium began at 3:00 p.m. and lasted for 1500 minutes. What time did the symposium end?

Answer: 4:00 \text{ p.m.}


Given right triangle $\triangle ABC$ has a hypotenuse $AC$ of length 10, where $A$ is at the right angle. Point $M$ is the midpoint of hypotenuse $\overline{AC}$, and $D$ is a point on leg $\overline{AB}$ such that $AD:DB = 1:2$. Determine the area of $\triangle ADM$.

Answer: 4


A rectangle with a width of 5 meters and a length of 15 meters is cut diagonally from one corner to the opposite corner. Determine the dimensions of one of the resulting right-angled triangles.

Answer: 5\ \text{m}, 15\ \text{m}, 5\sqrt{10}\ \text{m}


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`, `Bob`, `Carol`
 - Everyone has a favorite smoothie: `cherry`, `blueberry`, `desert`, `lime`, `dragonfruit`, `watermelon`
 - People have unique favorite music genres: `rock`, `classical`, `jazz`, `pop`, `country`, `hip hop`
 - People have unique favorite book genres: `science fiction`, `romance`, `historical fiction`, `fantasy`, `mystery`, `biography`
 - Each person has a favorite color: `yellow`, `white`, `green`, `blue`, `red`, `purple`

## Clues:
1. The person who loves purple and the Dragonfruit smoothie lover are next to each other.
2. The person who loves classical music is in the fifth house.
3. Eric is somewhere to the left of the person who loves classical music.
4. The person who loves hip-hop music is directly left of the Desert smoothie lover.
5. The person who loves yellow is the person who loves science fiction books.
6. Arnold is the person who loves rock music.
7. Carol is the person who likes Cherry smoothies.
8. There are two houses between the person who loves jazz music and the Watermelon smoothie lover.
9. The person whose favorite color is green is somewhere to the right of the person who loves jazz music.
10. The person who drinks Blueberry smoothies is directly left of the Watermelon smoothie lover.
11. Arnold is somewhere to the left of the Watermelon smoothie lover.
12. Bob is somewhere to the left of the person who loves yellow.
13. Bob is the person who loves historical fiction books.
14. The person who loves biography books is the person who loves pop music.
15. The person who loves romance books is in the fifth house.
16. There are two houses between Bob and the person who loves mystery books.
17. The person who loves white is the person who loves historical fiction books.
18. Peter is somewhere to the left of the person who loves blue.
19. There is one house between the person who loves biography books and the person who loves yellow.
 What is the value of attribute Color for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: purple


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`
 - People have unique favorite music genres: `rock`, `jazz`, `pop`, `classical`
 - Everyone has a favorite smoothie: `dragonfruit`, `watermelon`, `desert`, `cherry`
 - People have unique hair colors: `red`, `black`, `brown`, `blonde`
 - People have unique favorite book genres: `science fiction`, `fantasy`, `romance`, `mystery`

## Clues:
1. The person who has red hair is not in the third house.
2. There is one house between Eric and the person who likes Cherry smoothies.
3. The person who loves science fiction books is Peter.
4. The person who loves fantasy books is Alice.
5. The Dragonfruit smoothie lover is the person who loves pop music.
6. The Dragonfruit smoothie lover is the person who has red hair.
7. The Watermelon smoothie lover is somewhere to the right of the person who loves classical music.
8. The person who has black hair is the person who likes Cherry smoothies.
9. There is one house between the person who loves pop music and the person who loves fantasy books.
10. The person who loves romance books is somewhere to the right of the person who loves jazz music.
11. The person who has red hair is directly left of the person who has black hair.
12. The person who has brown hair and the Dragonfruit smoothie lover are next to each other.
13. The person who loves science fiction books is the Dragonfruit smoothie lover.
 What is the value of attribute BookGenre for the person whose attribute Smoothie is desert? Please reason step by step, and put your final answer within \boxed{}

Answer: mystery


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Peter`, `Eric`, `Arnold`, `Alice`
 - Each person has a favorite color: `blue`, `red`, `green`, `yellow`, `white`
 - Everyone has a unique favorite cigar: `dunhill`, `prince`, `pall mall`, `blends`, `blue master`
 - People have unique hair colors: `blonde`, `brown`, `red`, `gray`, `black`
 - Each person has a unique favorite drink: `tea`, `milk`, `coffee`, `water`, `root beer`
 - The people are of nationalities: `dane`, `swede`, `german`, `brit`, `norwegian`

## Clues:
1. The Norwegian is directly left of the Prince smoker.
2. The person who loves yellow is somewhere to the right of the tea drinker.
3. The person who has blonde hair is the Norwegian.
4. The root beer lover is somewhere to the left of the Dane.
5. There is one house between the person whose favorite color is red and the person who has black hair.
6. The German is in the third house.
7. The person who loves blue is not in the fourth house.
8. The person whose favorite color is red and the Dunhill smoker are next to each other.
9. The root beer lover is directly left of the German.
10. The Norwegian is Eric.
11. The British person is the person who likes milk.
12. Peter is the person who smokes many unique blends.
13. The coffee drinker is directly left of the Swedish person.
14. The person who smokes Blue Master is somewhere to the left of the person who smokes many unique blends.
15. The person who has gray hair is directly left of the person who has red hair.
16. The person who loves blue is somewhere to the right of the one who only drinks water.
17. Arnold is the person who has brown hair.
18. The person who has gray hair is not in the third house.
19. The coffee drinker is the person whose favorite color is green.
20. The Dunhill smoker is Alice.
 What is the value of attribute Drink for the person whose attribute House is 3? Please reason step by step, and put your final answer within \boxed{}

Answer: tea


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`
 - Each person has a unique favorite drink: `coffee`, `tea`, `milk`, `water`
 - People have unique favorite book genres: `fantasy`, `science fiction`, `mystery`, `romance`
 - People have unique hair colors: `red`, `black`, `blonde`, `brown`

## Clues:
1. The coffee drinker is the person who has blonde hair.
2. The person who has brown hair is the person who likes milk.
3. Arnold is the person who loves fantasy books.
4. The person who has red hair is in the fourth house.
5. The person who has red hair is the person who loves science fiction books.
6. The person who loves romance books is the tea drinker.
7. The person who has blonde hair is not in the third house.
8. The tea drinker is directly left of the person who loves mystery books.
9. The person who has black hair is not in the second house.
10. The person who loves romance books is somewhere to the left of Eric.
11. The person who loves fantasy books is somewhere to the left of Peter.
 What is the value of attribute House for the person whose attribute Drink is milk? Please reason step by step, and put your final answer within \boxed{}

Answer: 3


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Eric`, `Arnold`, `Alice`
 - The mothers' names in different houses are unique: `Kailyn`, `Aniya`, `Holly`, `Janelle`
 - Each person has a unique birthday month: `feb`, `sept`, `jan`, `april`
 - Each person has a unique hobby: `cooking`, `gardening`, `photography`, `painting`

## Clues:
1. Peter is the person whose birthday is in February.
2. Arnold is not in the third house.
3. The person whose mother's name is Aniya is somewhere to the left of the person who enjoys gardening.
4. The person whose birthday is in January is in the second house.
5. The person whose birthday is in February is not in the third house.
6. The person whose birthday is in February is the photography enthusiast.
7. Alice is somewhere to the right of the person whose birthday is in April.
8. The person whose mother's name is Kailyn is somewhere to the left of the person whose birthday is in September.
9. The person who enjoys gardening is not in the fourth house.
10. The person who loves cooking is The person whose mother's name is Janelle.
11. Peter is The person whose mother's name is Kailyn.
 What is the value of attribute House for the person whose attribute Name is Alice? Please reason step by step, and put your final answer within \boxed{}

Answer: 4


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Peter`, `Eric`
 - People have unique favorite sports: `basketball`, `tennis`, `soccer`
 - People have unique favorite book genres: `romance`, `science fiction`, `mystery`
 - Each person has a unique birthday month: `sept`, `april`, `jan`
 - They all have a unique favorite flower: `lilies`, `daffodils`, `carnations`

## Clues:
1. Arnold is somewhere to the left of the person who loves romance books.
2. The person who loves soccer is the person who loves a carnations arrangement.
3. The person who loves mystery books is the person whose birthday is in September.
4. The person who loves tennis is in the second house.
5. Peter is the person who loves a bouquet of daffodils.
6. Eric is somewhere to the left of the person whose birthday is in April.
7. The person who loves science fiction books is somewhere to the right of the person who loves tennis.
 What is the value of attribute House for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: 2


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Eric`, `Arnold`, `Carol`, `Alice`, `Peter`
 - Each person has a unique hobby: `cooking`, `painting`, `knitting`, `photography`, `woodworking`, `gardening`
 - People have unique hair colors: `brown`, `auburn`, `black`, `red`, `gray`, `blonde`
 - People have unique favorite sports: `swimming`, `volleyball`, `basketball`, `baseball`, `tennis`, `soccer`
 - The mothers' names in different houses are unique: `Sarah`, `Holly`, `Penny`, `Janelle`, `Kailyn`, `Aniya`
 - Everyone has a unique favorite cigar: `dunhill`, `blends`, `pall mall`, `prince`, `yellow monster`, `blue master`

## Clues:
1. The person who has gray hair is directly left of The person whose mother's name is Janelle.
2. The person who loves soccer is in the sixth house.
3. Arnold is the person who has blonde hair.
4. The photography enthusiast is the person who smokes Yellow Monster.
5. There is one house between the Dunhill smoker and the person who loves cooking.
6. The person who paints as a hobby is the person who has blonde hair.
7. The Dunhill smoker is directly left of Alice.
8. The person who paints as a hobby is directly left of the person who loves volleyball.
9. The person who loves soccer is The person whose mother's name is Aniya.
10. The person partial to Pall Mall is somewhere to the left of Carol.
11. The person who enjoys knitting and the person who loves basketball are next to each other.
12. The person partial to Pall Mall is directly left of The person whose mother's name is Holly.
13. The person who loves soccer is the Prince smoker.
14. The person who loves swimming is The person whose mother's name is Penny.
15. The person whose mother's name is Kailyn is the person who loves volleyball.
16. The person who loves basketball is The person whose mother's name is Janelle.
17. The person who enjoys knitting is the person who loves volleyball.
18. The person who enjoys knitting is not in the third house.
19. The person who has auburn hair is somewhere to the left of the photography enthusiast.
20. The person whose mother's name is Sarah is not in the fifth house.
21. Bob is directly left of the person who has red hair.
22. The Dunhill smoker is the person who enjoys gardening.
23. The person who loves baseball is the person who has auburn hair.
24. Eric is the person who smokes many unique blends.
25. The person who has brown hair is somewhere to the right of The person whose mother's name is Penny.
 What is the value of attribute Cigar for the person whose attribute Mother is Aniya? Please reason step by step, and put your final answer within \boxed{}

Answer: prince


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Bob`, `Alice`, `Peter`, `Arnold`, `Carol`
 - They all have a unique favorite flower: `daffodils`, `carnations`, `roses`, `tulips`, `iris`, `lilies`
 - People have unique heights: `very tall`, `super tall`, `average`, `short`, `very short`, `tall`
 - Each person has a favorite color: `blue`, `yellow`, `purple`, `red`, `green`, `white`
 - Everyone has a unique favorite cigar: `yellow monster`, `pall mall`, `prince`, `blue master`, `blends`, `dunhill`
 - People use unique phone models: `google pixel 6`, `iphone 13`, `xiaomi mi 11`, `samsung galaxy s21`, `huawei p50`, `oneplus 9`

## Clues:
1. The person who uses an iPhone 13 is the person who loves white.
2. Peter is the person whose favorite color is red.
3. The Prince smoker is directly left of the person partial to Pall Mall.
4. The person who smokes Blue Master and the Dunhill smoker are next to each other.
5. The person who loves blue is the person who uses a Xiaomi Mi 11.
6. The person who loves white is Alice.
7. The person who uses a OnePlus 9 is somewhere to the left of Arnold.
8. The person who is tall is the person who smokes Blue Master.
9. The person who uses a Samsung Galaxy S21 is the Dunhill smoker.
10. Bob is directly left of the person who is very short.
11. The person who loves a bouquet of daffodils is Eric.
12. The person who loves the boquet of iris is the person who uses a OnePlus 9.
13. The person who uses a Huawei P50 is the person who is very short.
14. The person who smokes many unique blends is directly left of Peter.
15. The Prince smoker is not in the first house.
16. The person who is very tall is the person who loves a bouquet of daffodils.
17. The person who uses a Google Pixel 6 is not in the fifth house.
18. The person who is tall is not in the third house.
19. The person who uses a Huawei P50 is somewhere to the left of the person who uses a Samsung Galaxy S21.
20. Arnold is somewhere to the left of the person who is short.
21. The person who loves the vase of tulips is not in the first house.
22. The person who loves the boquet of lilies is directly left of the person who loves yellow.
23. Arnold is the person who loves purple.
24. The person who uses a OnePlus 9 and the person who uses a Samsung Galaxy S21 are next to each other.
25. The person who has an average height is not in the first house.
26. The person who loves the rose bouquet is Alice.
 What is the value of attribute PhoneModel for the person whose attribute Flower is daffodils? Please reason step by step, and put your final answer within \boxed{}

Answer: google pixel 6


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`
 - The mothers' names in different houses are unique: `Holly`, `Kailyn`, `Aniya`, `Janelle`
 - People have unique favorite book genres: `science fiction`, `mystery`, `fantasy`, `romance`
 - Each person has a favorite color: `green`, `red`, `white`, `yellow`
 - Each person prefers a unique type of vacation: `mountain`, `cruise`, `beach`, `city`

## Clues:
1. The person who loves romance books and the person who likes going on cruises are next to each other.
2. Arnold is The person whose mother's name is Janelle.
3. The person who prefers city breaks is the person who loves yellow.
4. The person who loves science fiction books is directly left of Peter.
5. The person who loves science fiction books is somewhere to the left of The person whose mother's name is Kailyn.
6. The person who loves beach vacations is not in the first house.
7. There is one house between Alice and the person who likes going on cruises.
8. The person who loves mystery books is the person who loves white.
9. Peter is the person who prefers city breaks.
10. The person whose favorite color is green is in the third house.
11. The person whose mother's name is Aniya is Peter.
12. The person whose favorite color is green is The person whose mother's name is Janelle.
 What is the value of attribute Name for the person whose attribute Color is yellow? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`, `Bob`
 - Everyone has something unique for lunch: `stir fry`, `spaghetti`, `stew`, `grilled cheese`, `pizza`
 - People own unique car models: `ford f150`, `tesla model 3`, `bmw 3 series`, `toyota camry`, `honda civic`
 - People use unique phone models: `iphone 13`, `google pixel 6`, `samsung galaxy s21`, `oneplus 9`, `huawei p50`
 - Each person has an occupation: `teacher`, `lawyer`, `doctor`, `artist`, `engineer`
 - Each person has a unique favorite drink: `tea`, `milk`, `water`, `root beer`, `coffee`

## Clues:
1. The root beer lover is the person who owns a Honda Civic.
2. The person who likes milk is directly left of the person who loves eating grilled cheese.
3. Alice is the person who uses a Samsung Galaxy S21.
4. Alice is the person who loves stir fry.
5. The tea drinker is not in the fifth house.
6. The person who owns a BMW 3 Series is somewhere to the left of the tea drinker.
7. The person who is a doctor is Arnold.
8. The person who uses an iPhone 13 is the coffee drinker.
9. The person who is an engineer is the person who owns a BMW 3 Series.
10. The person who loves the stew is the person who uses an iPhone 13.
11. The person who is a doctor is directly left of the person who uses a OnePlus 9.
12. The person who owns a Honda Civic is directly left of the person who loves the spaghetti eater.
13. The person who uses a Google Pixel 6 is the tea drinker.
14. Alice is the person who is an artist.
15. There is one house between Alice and the person who owns a Ford F-150.
16. Arnold is the person who owns a Toyota Camry.
17. Eric is in the fourth house.
18. The person who uses a OnePlus 9 is the person who is a lawyer.
19. The person who loves eating grilled cheese is Peter.
 What is the value of attribute PhoneModel for the person whose attribute Name is Arnold? Please reason step by step, and put your final answer within \boxed{}

Answer: google pixel 6


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Peter`, `Carol`, `Arnold`, `Bob`, `Eric`
 - Each mother is accompanied by their child: `Alice`, `Meredith`, `Samantha`, `Bella`, `Fred`, `Timothy`
 - Each person prefers a unique type of vacation: `cruise`, `camping`, `mountain`, `cultural`, `beach`, `city`
 - The people are of nationalities: `german`, `dane`, `chinese`, `norwegian`, `swede`, `brit`
 - Each person has a unique type of pet: `rabbit`, `fish`, `cat`, `bird`, `dog`, `hamster`

## Clues:
1. The person who loves beach vacations is directly left of Arnold.
2. The Swedish person is the person who keeps a pet bird.
3. Peter is not in the sixth house.
4. There is one house between the Chinese and the person with a pet hamster.
5. The German is directly left of the person's child is named Samantha.
6. The Swedish person is the person who enjoys camping trips.
7. The Dane is the person who prefers city breaks.
8. The person's child is named Alice is somewhere to the right of the person who enjoys mountain retreats.
9. The Dane is Carol.
10. The person who owns a dog is not in the sixth house.
11. The Swedish person is not in the sixth house.
12. The Swedish person and Peter are next to each other.
13. The person's child is named Alice is Peter.
14. Arnold is the Norwegian.
15. Bob is somewhere to the right of the Chinese.
16. Carol is the person who owns a dog.
17. The person with an aquarium of fish is not in the third house.
18. The person who owns a rabbit is in the second house.
19. The person's child is named Bella is somewhere to the left of the British person.
20. The person's child is named Fred is in the third house.
21. There is one house between Carol and the person who goes on cultural tours.
22. Eric is the person who is the mother of Timothy.
 What is the value of attribute House for the person whose attribute Pet is fish? Please reason step by step, and put your final answer within \boxed{}

Answer: 6


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Eric`, `Alice`, `Carol`
 - People have unique hair colors: `red`, `gray`, `auburn`, `blonde`, `brown`, `black`
 - People have unique favorite book genres: `historical fiction`, `biography`, `romance`, `fantasy`, `mystery`, `science fiction`
 - People have unique heights: `very short`, `very tall`, `tall`, `short`, `super tall`, `average`
 - Each person has a unique level of education: `associate`, `doctorate`, `high school`, `trade school`, `bachelor`, `master`
 - Each person has a unique favorite drink: `boba tea`, `milk`, `water`, `root beer`, `coffee`, `tea`

## Clues:
1. The person with a doctorate and Bob are next to each other.
2. There is one house between Carol and the person who has black hair.
3. Peter is the person with a doctorate.
4. The person who loves science fiction books is Eric.
5. The one who only drinks water is the person who has an average height.
6. Alice is the person who loves mystery books.
7. The person who loves romance books is Bob.
8. The person who has brown hair is in the second house.
9. The person who has an average height is in the fourth house.
10. The boba tea drinker is the person who is very tall.
11. The person with a high school diploma is Bob.
12. The person who is short is somewhere to the left of the person who is super tall.
13. The person who loves historical fiction books and the person with a bachelor's degree are next to each other.
14. The person who attended trade school is the person who has red hair.
15. Carol is the person who has auburn hair.
16. The person who is very short is somewhere to the right of the person who has gray hair.
17. There are two houses between Eric and the person who loves fantasy books.
18. There are two houses between the tea drinker and the person who is very short.
19. Eric is somewhere to the left of the person with a bachelor's degree.
20. The root beer lover is Alice.
21. The person with an associate's degree is Arnold.
22. The person who is tall is not in the second house.
23. The person who loves science fiction books is the boba tea drinker.
24. The person who has black hair is not in the fourth house.
25. The person who is short is the coffee drinker.
26. The coffee drinker and the person with a high school diploma are next to each other.
27. The coffee drinker is not in the second house.
 What is the value of attribute Drink for the person whose attribute Height is tall? Please reason step by step, and put your final answer within \boxed{}

Answer: milk


There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Eric`
 - Each person lives in a unique style of house: `colonial`, `victorian`
 - People use unique phone models: `iphone 13`, `samsung galaxy s21`

## Clues:
1. Eric is somewhere to the left of the person who uses an iPhone 13.
2. The person who uses a Samsung Galaxy S21 is the person residing in a Victorian house.
 What is the value of attribute House for the person whose attribute PhoneModel is iphone 13? Please reason step by step, and put your final answer within \boxed{}

Answer: 2


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Alice`, `Arnold`, `Peter`, `Bob`
 - People use unique phone models: `samsung galaxy s21`, `huawei p50`, `oneplus 9`, `iphone 13`, `google pixel 6`
 - Everyone has a favorite smoothie: `desert`, `dragonfruit`, `watermelon`, `cherry`, `lime`
 - The mothers' names in different houses are unique: `Janelle`, `Holly`, `Penny`, `Aniya`, `Kailyn`
 - Each person has an occupation: `doctor`, `lawyer`, `engineer`, `teacher`, `artist`

## Clues:
1. The person whose mother's name is Kailyn is Peter.
2. The Dragonfruit smoothie lover is not in the fourth house.
3. The person who uses an iPhone 13 is the person who is an artist.
4. The person whose mother's name is Aniya is Arnold.
5. The person whose mother's name is Aniya is the Desert smoothie lover.
6. The person whose mother's name is Aniya is in the second house.
7. The person who drinks Lime smoothies is in the first house.
8. The person who uses a Huawei P50 is the person who is a doctor.
9. Eric is the person who drinks Lime smoothies.
10. There is one house between the person who is a teacher and Bob.
11. The person whose mother's name is Aniya is the person who is a lawyer.
12. The person who uses an iPhone 13 is the person who likes Cherry smoothies.
13. Arnold is the person who uses a OnePlus 9.
14. The person who is a doctor is The person whose mother's name is Penny.
15. Peter is the person who uses a Samsung Galaxy S21.
16. Bob is not in the third house.
17. The person whose mother's name is Holly is directly left of Peter.
 What is the value of attribute PhoneModel for the person whose attribute Mother is Holly? Please reason step by step, and put your final answer within \boxed{}

Answer: google pixel 6


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Peter`, `Alice`, `Eric`, `Arnold`
 - People use unique phone models: `iphone 13`, `samsung galaxy s21`, `google pixel 6`, `oneplus 9`, `huawei p50`
 - Each person has a unique hobby: `knitting`, `photography`, `painting`, `cooking`, `gardening`
 - Everyone has a unique favorite cigar: `pall mall`, `blends`, `blue master`, `dunhill`, `prince`
 - People have unique favorite sports: `swimming`, `baseball`, `tennis`, `basketball`, `soccer`
 - Everyone has a favorite smoothie: `cherry`, `desert`, `lime`, `watermelon`, `dragonfruit`

## Clues:
1. Peter is in the first house.
2. The person who loves soccer is the person who paints as a hobby.
3. The person partial to Pall Mall is the person who enjoys knitting.
4. The person who uses a Google Pixel 6 is not in the fifth house.
5. The person who enjoys knitting is somewhere to the left of Alice.
6. Peter is directly left of the person who smokes Blue Master.
7. The Prince smoker is the person who uses a OnePlus 9.
8. The person who loves basketball is directly left of the photography enthusiast.
9. The Dunhill smoker is somewhere to the left of the photography enthusiast.
10. There is one house between the person who drinks Lime smoothies and the person who loves basketball.
11. The person who enjoys gardening is somewhere to the right of the person who enjoys knitting.
12. The Dragonfruit smoothie lover is in the third house.
13. The person who loves baseball is the person partial to Pall Mall.
14. Eric is the person who loves tennis.
15. The person who uses a OnePlus 9 is Peter.
16. The Dunhill smoker is the person who uses a Huawei P50.
17. The Desert smoothie lover is the person who loves soccer.
18. The person who uses a Samsung Galaxy S21 is directly left of Arnold.
19. The person who loves tennis is somewhere to the right of the Watermelon smoothie lover.
 What is the value of attribute FavoriteSport for the person whose attribute Smoothie is lime? Please reason step by step, and put your final answer within \boxed{}

Answer: swimming


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Peter`, `Eric`, `Alice`, `Arnold`
 - Everyone has a favorite smoothie: `cherry`, `watermelon`, `lime`, `desert`, `dragonfruit`
 - Each person has a unique hobby: `gardening`, `photography`, `painting`, `knitting`, `cooking`
 - Each person has a unique type of pet: `cat`, `fish`, `hamster`, `dog`, `bird`

## Clues:
1. Bob is somewhere to the right of the photography enthusiast.
2. Alice is somewhere to the left of the person who loves cooking.
3. The person who paints as a hobby is the person with a pet hamster.
4. The person with an aquarium of fish is the person who enjoys knitting.
5. The person who likes Cherry smoothies is somewhere to the right of the Watermelon smoothie lover.
6. The person who keeps a pet bird is the person who drinks Lime smoothies.
7. The photography enthusiast and the person who owns a dog are next to each other.
8. There are two houses between the person with an aquarium of fish and the Desert smoothie lover.
9. Alice is the person who owns a dog.
10. The person who enjoys knitting is not in the fourth house.
11. Eric is somewhere to the right of Peter.
12. The Dragonfruit smoothie lover is in the second house.
13. Arnold is the person who drinks Lime smoothies.
14. The photography enthusiast is the Dragonfruit smoothie lover.
 What is the value of attribute House for the person whose attribute Name is Bob? Please reason step by step, and put your final answer within \boxed{}

Answer: 4