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`, `Arnold`, `Peter`, `Alice`, `Carol`, `Bob`
 - People have unique favorite book genres: `mystery`, `biography`, `science fiction`, `romance`, `fantasy`, `historical fiction`
 - Each person has a unique favorite drink: `water`, `milk`, `boba tea`, `coffee`, `tea`, `root beer`
 - People have unique hair colors: `blonde`, `red`, `gray`, `black`, `auburn`, `brown`
 - Each person has a unique birthday month: `may`, `mar`, `sept`, `jan`, `april`, `feb`

## Clues:
1. The person who likes milk is the person who has gray hair.
2. Alice is somewhere to the right of the person who has auburn hair.
3. The person whose birthday is in September is not in the sixth house.
4. The tea drinker is somewhere to the left of the person who has auburn hair.
5. Carol is the person who loves biography books.
6. The person who likes milk is in the fourth house.
7. The person who has auburn hair is directly left of Eric.
8. The boba tea drinker is the person who has brown hair.
9. The person whose birthday is in February is the person who has gray hair.
10. Carol is the person who has blonde hair.
11. The person who loves fantasy books is somewhere to the left of Bob.
12. The person who has blonde hair is the person whose birthday is in April.
13. Peter is the coffee drinker.
14. The person who loves historical fiction books is somewhere to the right of the person who loves science fiction books.
15. The person who loves science fiction books is Bob.
16. The root beer lover is not in the first house.
17. There is one house between the person whose birthday is in May and Peter.
18. The person who has black hair is in the second house.
19. The person whose birthday is in February is the person who loves historical fiction books.
20. Arnold is the person whose birthday is in March.
21. The root beer lover is somewhere to the left of the person whose birthday is in May.
22. The person who loves mystery books is in the sixth house.
 What is the value of attribute BookGenre for the person whose attribute Birthday is sept? Please reason step by step, and put your final answer within \boxed{}

Answer: romance


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`, `Alice`, `Arnold`, `Peter`, `Eric`
 - Each person has a unique level of education: `doctorate`, `bachelor`, `associate`, `master`, `high school`
 - People use unique phone models: `oneplus 9`, `samsung galaxy s21`, `google pixel 6`, `iphone 13`, `huawei p50`
 - People have unique favorite music genres: `rock`, `classical`, `jazz`, `pop`, `hip hop`
 - The people keep unique animals: `bird`, `dog`, `horse`, `cat`, `fish`
 - Each person has a unique hobby: `painting`, `cooking`, `knitting`, `gardening`, `photography`

## Clues:
1. The person who loves hip-hop music is in the second house.
2. The person who loves classical music is not in the fifth house.
3. The person who loves classical music is the fish enthusiast.
4. The person who uses an iPhone 13 is the person with a doctorate.
5. The person with a master's degree is not in the second house.
6. The person who enjoys knitting is not in the first house.
7. The person with a high school diploma is somewhere to the left of the photography enthusiast.
8. The person who paints as a hobby is somewhere to the right of the person who loves rock music.
9. Arnold is the bird keeper.
10. The person with a bachelor's degree is the person who uses a Google Pixel 6.
11. The person with a bachelor's degree is somewhere to the right of the person who paints as a hobby.
12. Bob is not in the fourth house.
13. The person who loves cooking is the person who loves classical music.
14. The person who loves cooking is the person who uses a Huawei P50.
15. The person who keeps horses is somewhere to the right of Arnold.
16. The person who paints as a hobby is the person who uses a OnePlus 9.
17. The person who uses a OnePlus 9 is somewhere to the left of the person with an associate's degree.
18. The person who uses an iPhone 13 is the dog owner.
19. The person with a high school diploma is Alice.
20. Peter is the person who enjoys gardening.
21. The person who paints as a hobby is the person who loves jazz music.
 What is the value of attribute MusicGenre for the person whose attribute Education is bachelor? Please reason step by step, and put your final answer within \boxed{}

Answer: pop


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`, `Peter`, `Arnold`
 - Each person lives in a unique style of house: `victorian`, `ranch`, `craftsman`, `colonial`
 - Everyone has a unique favorite cigar: `pall mall`, `dunhill`, `blue master`, `prince`
 - Each person has an occupation: `doctor`, `teacher`, `engineer`, `artist`
 - They all have a unique favorite flower: `lilies`, `daffodils`, `roses`, `carnations`
 - The people keep unique animals: `horse`, `bird`, `fish`, `cat`

## Clues:
1. The fish enthusiast is somewhere to the right of Eric.
2. The person who is an engineer is Arnold.
3. The person who loves a carnations arrangement is the person in a ranch-style home.
4. Alice is the person in a Craftsman-style house.
5. The person partial to Pall Mall is the person who loves a bouquet of daffodils.
6. The cat lover is Arnold.
7. The Dunhill smoker is Peter.
8. The person living in a colonial-style house is not in the fourth house.
9. The person who is a teacher is the bird keeper.
10. The person residing in a Victorian house is Peter.
11. The person who loves the boquet of lilies is the person who smokes Blue Master.
12. Peter is somewhere to the right of the person who is an artist.
13. The person who is an engineer and the person who is a teacher are next to each other.
14. The person who is a doctor is the person who loves a carnations arrangement.
15. The person partial to Pall Mall is the person living in a colonial-style house.
 What is the value of attribute Flower for the person whose attribute Cigar is dunhill? Please reason step by step, and put your final answer within \boxed{}

Answer: roses


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: `Peter`, `Arnold`, `Carol`, `Alice`, `Eric`, `Bob`
 - People have unique favorite book genres: `mystery`, `science fiction`, `fantasy`, `romance`, `biography`, `historical fiction`
 - Everyone has a unique favorite cigar: `dunhill`, `blends`, `yellow monster`, `prince`, `blue master`, `pall mall`
 - The people are of nationalities: `brit`, `swede`, `chinese`, `dane`, `german`, `norwegian`
 - Each person has a unique type of pet: `bird`, `rabbit`, `fish`, `cat`, `hamster`, `dog`

## Clues:
1. The person with an aquarium of fish is in the first house.
2. The person who owns a dog is not in the third house.
3. The British person is the person who loves historical fiction books.
4. Bob is the person who owns a dog.
5. The person with a pet hamster is the British person.
6. Eric is in the sixth house.
7. There is one house between the person who smokes Yellow Monster and the person who owns a dog.
8. Alice is directly left of the person who has a cat.
9. The British person is directly left of the person who smokes Blue Master.
10. Carol is in the second house.
11. The person who loves fantasy books is the Swedish person.
12. The person who loves romance books is directly left of the Dunhill smoker.
13. The person partial to Pall Mall is the Swedish person.
14. The Prince smoker is the Chinese.
15. The person who loves biography books is somewhere to the left of the British person.
16. The person who loves science fiction books is in the fourth house.
17. The British person is Alice.
18. The Norwegian is the person who loves biography books.
19. The Dane and the Dunhill smoker are next to each other.
20. Peter is not in the third house.
21. The person who owns a rabbit is the person who loves romance books.
 What is the value of attribute Nationality for the person whose attribute House is 1? Please reason step by step, and put your final answer within \boxed{}

Answer: swede


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`, `Bob`, `Eric`, `Arnold`, `Carol`
 - Each person has a unique level of education: `bachelor`, `high school`, `associate`, `doctorate`, `trade school`, `master`
 - Everyone has something unique for lunch: `spaghetti`, `stir fry`, `stew`, `grilled cheese`, `pizza`, `soup`
 - People have unique favorite sports: `baseball`, `swimming`, `tennis`, `volleyball`, `soccer`, `basketball`
 - People have unique heights: `very short`, `average`, `very tall`, `super tall`, `tall`, `short`

## Clues:
1. Alice is somewhere to the left of Bob.
2. The person who loves tennis is the person with an associate's degree.
3. The person who is tall is not in the first house.
4. The person who loves the spaghetti eater is in the second house.
5. The person who loves baseball is in the third house.
6. Arnold is somewhere to the left of the person who is very tall.
7. Eric is the person with a bachelor's degree.
8. The person who loves the soup is the person who is very short.
9. The person who loves swimming is the person who loves the stew.
10. Arnold is somewhere to the right of the person who loves soccer.
11. The person with a doctorate is not in the sixth house.
12. The person who loves stir fry is Carol.
13. The person who has an average height is in the sixth house.
14. There is one house between the person who attended trade school and the person who has an average height.
15. The person who is very tall is directly left of the person who is super tall.
16. Alice is somewhere to the right of the person who attended trade school.
17. The person who is a pizza lover is somewhere to the left of Eric.
18. Alice is the person who loves basketball.
19. The person with a high school diploma is Arnold.
 What is the value of attribute Name for the person whose attribute House is 1? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


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`, `Eric`, `Carol`, `Alice`, `Peter`
 - Each person has a unique level of education: `doctorate`, `trade school`, `associate`, `high school`, `bachelor`, `master`
 - People own unique car models: `chevrolet silverado`, `ford f150`, `honda civic`, `tesla model 3`, `bmw 3 series`, `toyota camry`
 - Each person has a unique favorite drink: `tea`, `water`, `boba tea`, `coffee`, `root beer`, `milk`
 - They all have a unique favorite flower: `carnations`, `iris`, `lilies`, `tulips`, `daffodils`, `roses`

## Clues:
1. Eric is the one who only drinks water.
2. The person with an associate's degree is the person who owns a Toyota Camry.
3. The boba tea drinker is in the fourth house.
4. The person who loves the vase of tulips is directly left of the person who owns a Tesla Model 3.
5. The person with a master's degree is somewhere to the left of the person who owns a BMW 3 Series.
6. The person who owns a Toyota Camry is directly left of the person who loves a bouquet of daffodils.
7. The person who loves the boquet of iris is somewhere to the left of the root beer lover.
8. The person who likes milk is somewhere to the right of the person who owns a Honda Civic.
9. Carol is the person who owns a Honda Civic.
10. The person with a high school diploma is in the second house.
11. The person with a master's degree is the boba tea drinker.
12. The person who owns a Tesla Model 3 is Arnold.
13. The person who loves the boquet of lilies is the person who owns a Tesla Model 3.
14. The person who loves a carnations arrangement is somewhere to the left of Alice.
15. The person with a bachelor's degree is somewhere to the right of the person who likes milk.
16. The one who only drinks water is the person who owns a Ford F-150.
17. Carol is somewhere to the left of the person with a doctorate.
18. There are two houses between the person who owns a Toyota Camry and the person who loves the vase of tulips.
19. The person who owns a Tesla Model 3 is somewhere to the left of the coffee drinker.
20. Bob is in the third house.
 What is the value of attribute Flower for the person whose attribute Drink is boba tea? Please reason step by step, and put your final answer within \boxed{}

Answer: tulips


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`, `Arnold`, `Eric`, `Peter`
 - People use unique phone models: `iphone 13`, `samsung galaxy s21`, `google pixel 6`, `oneplus 9`
 - The people are of nationalities: `norwegian`, `swede`, `dane`, `brit`
 - People have unique favorite sports: `tennis`, `swimming`, `soccer`, `basketball`
 - Each person has a favorite color: `red`, `white`, `yellow`, `green`
 - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`, `dragonfruit`

## Clues:
1. The person who loves basketball is the British person.
2. The person who likes Cherry smoothies is directly left of Arnold.
3. The person who uses an iPhone 13 is somewhere to the left of the person who loves tennis.
4. The person who loves soccer is the person whose favorite color is red.
5. Eric is the person who loves basketball.
6. Alice is the Watermelon smoothie lover.
7. The Norwegian is not in the fourth house.
8. Eric is somewhere to the left of the person who loves yellow.
9. The Desert smoothie lover is not in the second house.
10. The person who loves tennis is the person whose favorite color is green.
11. The person who uses a OnePlus 9 is the Norwegian.
12. Alice is the person who uses a Samsung Galaxy S21.
13. Eric is in the third house.
14. Peter is somewhere to the left of the Dane.
 What is the value of attribute Color for the person whose attribute House is 4? Please reason step by step, and put your final answer within \boxed{}

Answer: yellow


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`
 - The mothers' names in different houses are unique: `Kailyn`, `Aniya`, `Holly`, `Janelle`
 - Each person lives in a unique style of house: `craftsman`, `victorian`, `ranch`, `colonial`
 - The people keep unique animals: `cat`, `fish`, `bird`, `horse`
 - Each person has a unique level of education: `bachelor`, `high school`, `master`, `associate`

## Clues:
1. The person with a bachelor's degree is directly left of The person whose mother's name is Aniya.
2. The person who keeps horses is not in the second house.
3. Eric is not in the second house.
4. The person with a high school diploma is the person in a Craftsman-style house.
5. Peter is somewhere to the left of the person with a master's degree.
6. Alice is in the third house.
7. The person in a Craftsman-style house is somewhere to the left of The person whose mother's name is Janelle.
8. The person living in a colonial-style house is Peter.
9. The fish enthusiast is the person with a master's degree.
10. The person with an associate's degree is in the third house.
11. The person whose mother's name is Kailyn is the bird keeper.
12. The person whose mother's name is Kailyn is the person residing in a Victorian house.
 What is the value of attribute House for the person whose attribute HouseStyle is ranch? Please reason step by step, and put your final answer within \boxed{}

Answer: 4


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`, `Eric`, `Alice`, `Peter`
 - People have unique favorite music genres: `pop`, `rock`, `jazz`, `classical`
 - Everyone has something unique for lunch: `pizza`, `stew`, `grilled cheese`, `spaghetti`
 - Each person has a unique level of education: `master`, `associate`, `bachelor`, `high school`
 - Each mother is accompanied by their child: `Samantha`, `Bella`, `Meredith`, `Fred`

## Clues:
1. The person's child is named Samantha is in the second house.
2. Arnold is the person's child is named Samantha.
3. The person who loves the spaghetti eater is directly left of the person with a master's degree.
4. The person who loves eating grilled cheese is the person who loves classical music.
5. The person who loves the stew is the person's child is named Bella.
6. The person who loves pop music is Alice.
7. The person who loves jazz music is directly left of the person's child is named Samantha.
8. The person with a high school diploma is Arnold.
9. The person with a bachelor's degree is Peter.
10. The person who loves the spaghetti eater is the person with an associate's degree.
11. The person who loves classical music is the person's child is named Fred.
 What is the value of attribute House for the person whose attribute Education is associate? Please reason step by step, and put your final answer within \boxed{}

Answer: 3


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`, `Eric`, `Bob`, `Peter`, `Arnold`
 - People have unique favorite book genres: `fantasy`, `mystery`, `science fiction`, `biography`, `romance`
 - The mothers' names in different houses are unique: `Holly`, `Penny`, `Aniya`, `Kailyn`, `Janelle`
 - People use unique phone models: `oneplus 9`, `iphone 13`, `samsung galaxy s21`, `google pixel 6`, `huawei p50`
 - The people are of nationalities: `dane`, `brit`, `german`, `swede`, `norwegian`
 - Each person lives in a unique style of house: `ranch`, `modern`, `craftsman`, `victorian`, `colonial`

## Clues:
1. The person in a ranch-style home is somewhere to the right of the person residing in a Victorian house.
2. The Dane and the person who uses a Samsung Galaxy S21 are next to each other.
3. The person who uses a Google Pixel 6 is not in the second house.
4. There are two houses between the person who loves fantasy books and the person in a modern-style house.
5. The person whose mother's name is Kailyn is the Swedish person.
6. The Swedish person is Arnold.
7. The British person is somewhere to the left of the person who uses an iPhone 13.
8. The Dane is The person whose mother's name is Penny.
9. The person who uses a Samsung Galaxy S21 is the Norwegian.
10. The Norwegian is The person whose mother's name is Holly.
11. The person who loves fantasy books is Bob.
12. Alice is directly left of the Swedish person.
13. The person who loves romance books is Arnold.
14. The person who loves science fiction books is Peter.
15. The person whose mother's name is Aniya is directly left of the person who loves science fiction books.
16. The person who loves science fiction books is the person who uses a OnePlus 9.
17. The person residing in a Victorian house is the person who loves biography books.
18. The person who loves fantasy books is somewhere to the left of the German.
19. The person who uses an iPhone 13 is the person in a Craftsman-style house.
 What is the value of attribute House for the person whose attribute PhoneModel is samsung galaxy s21? Please reason step by step, and put your final answer within \boxed{}

Answer: 4


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`, `Alice`, `Carol`, `Arnold`, `Bob`, `Peter`
 - People have unique heights: `average`, `super tall`, `tall`, `short`, `very short`, `very tall`
 - The people are of nationalities: `chinese`, `brit`, `german`, `swede`, `norwegian`, `dane`
 - People have unique hair colors: `black`, `blonde`, `brown`, `auburn`, `gray`, `red`

## Clues:
1. Eric is the Norwegian.
2. There is one house between the person who is very short and the person who has auburn hair.
3. The person who is short is Arnold.
4. The Dane is the person who is super tall.
5. The British person is in the sixth house.
6. The person who is very short is somewhere to the right of the German.
7. The person who has gray hair is in the fifth house.
8. The person who has gray hair is Carol.
9. Bob is the person who has black hair.
10. The person who has red hair is in the second house.
11. The person who is super tall is directly left of Arnold.
12. There are two houses between Alice and the person who has an average height.
13. The Dane is not in the first house.
14. Bob is somewhere to the left of the Norwegian.
15. The person who is tall is the person who has gray hair.
16. The Chinese is in the fifth house.
17. There is one house between the person who is very tall and the person who has blonde hair.
 What is the value of attribute House for the person whose attribute Nationality is brit? Please reason step by step, and put your final answer within \boxed{}

Answer: 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`
 - Each person has a unique type of pet: `hamster`, `fish`, `bird`, `cat`, `dog`
 - Each person lives in a unique style of house: `colonial`, `ranch`, `victorian`, `modern`, `craftsman`
 - Each person has a unique birthday month: `mar`, `sept`, `jan`, `feb`, `april`
 - The people keep unique animals: `dog`, `cat`, `fish`, `bird`, `horse`

## Clues:
1. There is one house between Alice and the fish enthusiast.
2. The person in a ranch-style home is not in the fifth house.
3. The person whose birthday is in March is Alice.
4. The person in a ranch-style home is not in the fourth house.
5. Arnold is somewhere to the right of the person whose birthday is in April.
6. The person who has a cat is the person who keeps horses.
7. There are two houses between the cat lover and the person living in a colonial-style house.
8. Eric is somewhere to the left of the person whose birthday is in September.
9. The person whose birthday is in April is directly left of the person who keeps horses.
10. Alice is the person residing in a Victorian house.
11. The person whose birthday is in March and the cat lover are next to each other.
12. Peter is the person whose birthday is in February.
13. The cat lover is the person who owns a dog.
14. The bird keeper is somewhere to the left of the person who keeps a pet bird.
15. Bob is the person who keeps a pet bird.
16. Eric is in the fourth house.
17. The person who has a cat is somewhere to the left of the person with a pet hamster.
18. The person who keeps a pet bird is the person in a modern-style house.
 What is the value of attribute HouseStyle for the person whose attribute House is 1? Please reason step by step, and put your final answer within \boxed{}

Answer: victorian


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`, `Peter`, `Alice`, `Arnold`, `Carol`
 - People own unique car models: `ford f150`, `honda civic`, `toyota camry`, `tesla model 3`, `chevrolet silverado`, `bmw 3 series`
 - The mothers' names in different houses are unique: `Sarah`, `Penny`, `Holly`, `Aniya`, `Kailyn`, `Janelle`
 - Each person has a unique hobby: `photography`, `cooking`, `knitting`, `gardening`, `woodworking`, `painting`

## Clues:
1. The person who owns a Toyota Camry is in the sixth house.
2. Carol is the photography enthusiast.
3. The person who owns a Chevrolet Silverado is The person whose mother's name is Aniya.
4. The person who owns a Chevrolet Silverado is not in the second house.
5. The person who owns a Ford F-150 is The person whose mother's name is Sarah.
6. The person who owns a BMW 3 Series is Bob.
7. The person whose mother's name is Kailyn is in the sixth house.
8. Eric is directly left of the person who enjoys knitting.
9. There is one house between The person whose mother's name is Sarah and the person who owns a Toyota Camry.
10. The person whose mother's name is Penny is somewhere to the right of the person who enjoys knitting.
11. The person whose mother's name is Aniya is somewhere to the right of the person who owns a Honda Civic.
12. Alice is somewhere to the right of the person who owns a Ford F-150.
13. Eric is the person who enjoys gardening.
14. The woodworking hobbyist is somewhere to the left of the person who enjoys knitting.
15. There is one house between The person whose mother's name is Sarah and the person who loves cooking.
16. The person who owns a Honda Civic is Arnold.
17. The person whose mother's name is Holly is directly left of the person who enjoys knitting.
 What is the value of attribute Hobby for the person whose attribute Name is Peter? Please reason step by step, and put your final answer within \boxed{}

Answer: knitting


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: `Peter`, `Eric`, `Bob`, `Arnold`, `Carol`, `Alice`
 - Each person has a unique birthday month: `may`, `sept`, `jan`, `mar`, `feb`, `april`
 - People have unique hair colors: `brown`, `blonde`, `red`, `auburn`, `black`, `gray`
 - Each mother is accompanied by their child: `Alice`, `Samantha`, `Fred`, `Meredith`, `Timothy`, `Bella`
 - Everyone has a favorite smoothie: `blueberry`, `cherry`, `watermelon`, `lime`, `dragonfruit`, `desert`
 - The mothers' names in different houses are unique: `Sarah`, `Aniya`, `Janelle`, `Holly`, `Kailyn`, `Penny`

## Clues:
1. The person whose birthday is in September and the person's child is named Alice are next to each other.
2. The person whose birthday is in April is the person who is the mother of Timothy.
3. The person who likes Cherry smoothies is the person who has gray hair.
4. Alice is somewhere to the right of Arnold.
5. The person's child is named Alice is somewhere to the right of The person whose mother's name is Sarah.
6. Peter is the person who drinks Blueberry smoothies.
7. The person whose mother's name is Janelle is the person whose birthday is in May.
8. The person whose birthday is in January is somewhere to the left of The person whose mother's name is Sarah.
9. The Watermelon smoothie lover is the person who has brown hair.
10. The person who has red hair is somewhere to the right of the person who has gray hair.
11. The person who drinks Lime smoothies is in the fifth house.
12. The person who has black hair and the person's child is named Meredith are next to each other.
13. The person whose birthday is in March is somewhere to the right of the person who has red hair.
14. The person whose mother's name is Sarah is somewhere to the left of the person who has auburn hair.
15. The person who has black hair is directly left of The person whose mother's name is Penny.
16. The person's child is named Samantha is The person whose mother's name is Holly.
17. The person who has blonde hair and Bob are next to each other.
18. The person who has gray hair is the person whose birthday is in January.
19. The person who has black hair is in the first house.
20. The person whose mother's name is Sarah is the person who has blonde hair.
21. The person whose mother's name is Kailyn is Arnold.
22. The person whose birthday is in January is The person whose mother's name is Kailyn.
23. The person whose birthday is in September is Carol.
24. The person who drinks Lime smoothies is somewhere to the right of the Desert smoothie lover.
25. The person's child is named Fred is not in the third house.
 What is the value of attribute House for the person whose attribute Mother is Aniya? 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: `Alice`, `Eric`, `Arnold`, `Peter`
 - Everyone has a unique favorite cigar: `prince`, `dunhill`, `blue master`, `pall mall`
 - Each person lives in a unique style of house: `victorian`, `colonial`, `ranch`, `craftsman`
 - Each person has a unique birthday month: `april`, `sept`, `feb`, `jan`
 - Each person has an occupation: `teacher`, `artist`, `doctor`, `engineer`
 - Each mother is accompanied by their child: `Samantha`, `Bella`, `Meredith`, `Fred`

## Clues:
1. The person who is a doctor is the person's child is named Fred.
2. The person's child is named Samantha and the person whose birthday is in January are next to each other.
3. Arnold is the person whose birthday is in September.
4. The person in a Craftsman-style house is the person who is an engineer.
5. The Dunhill smoker is the person's child is named Samantha.
6. Alice is directly left of Arnold.
7. The person whose birthday is in April and the Prince smoker are next to each other.
8. Arnold is the person who is a teacher.
9. The person living in a colonial-style house is not in the first house.
10. The person who smokes Blue Master is somewhere to the left of Eric.
11. The person who smokes Blue Master is somewhere to the right of the person's child is named Fred.
12. The person whose birthday is in April is somewhere to the left of the person who is an engineer.
13. Eric is not in the fourth house.
14. The person's child is named Bella is somewhere to the left of the person whose birthday is in April.
15. The person in a ranch-style home is Arnold.
 What is the value of attribute Birthday for the person whose attribute Children is Bella? Please reason step by step, and put your final answer within \boxed{}

Answer: sept


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`, `Bob`, `Arnold`, `Peter`, `Alice`, `Eric`
 - Each person has a unique favorite drink: `boba tea`, `coffee`, `root beer`, `water`, `milk`, `tea`
 - Each person lives in a unique style of house: `ranch`, `victorian`, `craftsman`, `mediterranean`, `colonial`, `modern`
 - Everyone has a unique favorite cigar: `dunhill`, `prince`, `yellow monster`, `blue master`, `blends`, `pall mall`

## Clues:
1. Eric is the Dunhill smoker.
2. Peter and the root beer lover are next to each other.
3. The Prince smoker is Bob.
4. The person in a modern-style house is somewhere to the left of Arnold.
5. The one who only drinks water is somewhere to the right of Bob.
6. The person in a modern-style house is the person who smokes Blue Master.
7. The person in a ranch-style home is directly left of the person in a modern-style house.
8. The person who smokes Yellow Monster is somewhere to the right of the coffee drinker.
9. The root beer lover is in the sixth house.
10. The person who likes milk is somewhere to the left of the tea drinker.
11. Arnold is the person living in a colonial-style house.
12. The person in a Craftsman-style house is the coffee drinker.
13. The boba tea drinker is somewhere to the left of the person living in a colonial-style house.
14. The boba tea drinker is the person partial to Pall Mall.
15. The person residing in a Victorian house is not in the fifth house.
16. The person living in a colonial-style house is in the third house.
17. Alice is not in the first house.
 What is the value of attribute House for the person whose attribute Cigar is prince? 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`
 - Each person lives in a unique style of house: `victorian`, `colonial`, `ranch`
 - The people are of nationalities: `dane`, `brit`, `swede`
 - Each person has a unique type of pet: `dog`, `fish`, `cat`

## Clues:
1. The person who owns a dog is directly left of Peter.
2. Eric is in the second house.
3. The Dane is the person in a ranch-style home.
4. The person who owns a dog is the person living in a colonial-style house.
5. The person who has a cat is the Dane.
6. The British person is in the third house.
 What is the value of attribute Nationality for the person whose attribute HouseStyle is colonial? Please reason step by step, and put your final answer within \boxed{}

Answer: swede


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`, `Bob`, `Arnold`, `Alice`, `Peter`, `Eric`
 - The people are of nationalities: `swede`, `german`, `dane`, `brit`, `chinese`, `norwegian`
 - Each person has a unique type of pet: `bird`, `cat`, `dog`, `rabbit`, `fish`, `hamster`
 - Each person has a favorite color: `red`, `green`, `purple`, `yellow`, `white`, `blue`

## Clues:
1. The person who has a cat is the British person.
2. The person with a pet hamster is in the fourth house.
3. The person who owns a rabbit is the person who loves purple.
4. Arnold is the person who loves white.
5. The Dane is somewhere to the left of the person who owns a dog.
6. Carol and Peter are next to each other.
7. The Swedish person is somewhere to the right of the person whose favorite color is green.
8. The person who loves blue is the person with a pet hamster.
9. There are two houses between the person whose favorite color is red and Bob.
10. The person who keeps a pet bird is in the second house.
11. Carol is in the first house.
12. The person who loves yellow and the German are next to each other.
13. Alice is the person who loves yellow.
14. The Dane is the person who loves yellow.
15. Bob is the Norwegian.
16. Alice is directly left of the person who loves white.
 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: white


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 lives in a unique style of house: `victorian`, `craftsman`, `colonial`, `ranch`
 - People have unique hair colors: `red`, `blonde`, `black`, `brown`

## Clues:
1. The person in a ranch-style home is somewhere to the right of the person who has black hair.
2. There are two houses between Alice and the person living in a colonial-style house.
3. The person who has red hair is directly left of Eric.
4. The person living in a colonial-style house is somewhere to the right of the person in a Craftsman-style house.
5. There is one house between Peter and the person who has blonde hair.
6. The person who has red hair and the person in a ranch-style home are next to each other.
7. The person residing in a Victorian house is in the second house.
 What is the value of attribute House for the person whose attribute HairColor is black? 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: `Peter`, `Bob`, `Arnold`, `Eric`, `Alice`
 - Each person has a favorite color: `red`, `white`, `green`, `blue`, `yellow`
 - Each person has a unique hobby: `gardening`, `cooking`, `painting`, `photography`, `knitting`
 - People have unique heights: `very tall`, `tall`, `average`, `short`, `very short`
 - People have unique hair colors: `black`, `blonde`, `brown`, `gray`, `red`

## Clues:
1. The person whose favorite color is green is somewhere to the right of the person who has black hair.
2. The person who has an average height is somewhere to the right of the person who loves blue.
3. The person who has red hair is Alice.
4. The person who loves cooking is not in the first house.
5. The person who loves yellow is the person who has gray hair.
6. The person who is short is somewhere to the left of the person who loves yellow.
7. The person who enjoys gardening is the person who loves white.
8. Arnold is somewhere to the left of the person who has black hair.
9. The person who is short is somewhere to the right of the person who has blonde hair.
10. Eric and the person who loves cooking are next to each other.
11. The person who has black hair is directly left of the person who loves blue.
12. The person who is very short is the person who has black hair.
13. Bob is the person who loves blue.
14. The person who is tall is directly left of the photography enthusiast.
15. The person who loves white is not in the first house.
16. The person who loves yellow is the person who enjoys knitting.
17. The person who loves blue is the person who has blonde hair.
 What is the value of attribute Color for the person whose attribute Hobby is gardening? Please reason step by step, and put your final answer within \boxed{}

Answer: white


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`, `Arnold`, `Carol`, `Bob`, `Peter`, `Alice`
 - Each person lives in a unique style of house: `ranch`, `victorian`, `modern`, `colonial`, `craftsman`, `mediterranean`
 - Each person has a unique favorite drink: `coffee`, `water`, `root beer`, `tea`, `milk`, `boba tea`
 - Each person has an occupation: `engineer`, `nurse`, `doctor`, `artist`, `lawyer`, `teacher`
 - The people keep unique animals: `horse`, `fish`, `dog`, `cat`, `rabbit`, `bird`
 - Each person has a favorite color: `red`, `purple`, `white`, `green`, `yellow`, `blue`

## Clues:
1. The fish enthusiast is in the first house.
2. Carol is somewhere to the left of the person in a Mediterranean-style villa.
3. The bird keeper is the person who loves purple.
4. The person in a ranch-style home is the one who only drinks water.
5. The coffee drinker is not in the fourth house.
6. The person living in a colonial-style house and the boba tea drinker are next to each other.
7. The cat lover is the person who is a teacher.
8. The person in a modern-style house is in the third house.
9. The person who is an engineer and Peter are next to each other.
10. Arnold is the person who is an artist.
11. The person whose favorite color is red is Arnold.
12. The coffee drinker is somewhere to the right of the person who is a teacher.
13. The bird keeper is the person in a ranch-style home.
14. The rabbit owner is in the sixth house.
15. The boba tea drinker is Peter.
16. Eric is the cat lover.
17. The person who is a nurse is directly left of the person in a modern-style house.
18. The bird keeper is Carol.
19. There are two houses between the cat lover and the boba tea drinker.
20. Bob is the tea drinker.
21. The person residing in a Victorian house is the dog owner.
22. The person whose favorite color is green is in the fourth house.
23. The person who loves blue is the root beer lover.
24. The person who loves white is not in the sixth house.
25. Peter is the person who is a doctor.
 What is the value of attribute Drink for the person whose attribute House is 1? Please reason step by step, and put your final answer within \boxed{}

Answer: milk


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 own unique car models: `ford f150`, `tesla model 3`, `toyota camry`, `honda civic`
 - People have unique favorite music genres: `pop`, `jazz`, `rock`, `classical`
 - People have unique favorite sports: `basketball`, `tennis`, `soccer`, `swimming`
 - Each person prefers a unique type of vacation: `mountain`, `beach`, `cruise`, `city`

## Clues:
1. The person who loves beach vacations is the person who loves soccer.
2. The person who likes going on cruises and Arnold are next to each other.
3. Eric is the person who owns a Toyota Camry.
4. The person who owns a Toyota Camry is the person who loves swimming.
5. The person who loves beach vacations is in the fourth house.
6. The person who loves jazz music is somewhere to the right of the person who loves rock music.
7. The person who owns a Toyota Camry is the person who loves pop music.
8. The person who prefers city breaks is the person who loves jazz music.
9. The person who loves basketball is directly left of the person who owns a Tesla Model 3.
10. The person who likes going on cruises is somewhere to the left of the person who owns a Ford F-150.
11. The person who loves jazz music is directly left of the person who enjoys mountain retreats.
12. Peter is somewhere to the right of the person who loves rock music.
 What is the value of attribute CarModel for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: toyota camry


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 an occupation: `doctor`, `teacher`, `engineer`, `artist`
 - Each mother is accompanied by their child: `Meredith`, `Fred`, `Bella`, `Samantha`
 - Everyone has something unique for lunch: `spaghetti`, `pizza`, `stew`, `grilled cheese`

## Clues:
1. The person who loves the spaghetti eater is directly left of the person who is a teacher.
2. Arnold is somewhere to the left of the person's child is named Samantha.
3. The person's child is named Bella is in the first house.
4. The person who loves the spaghetti eater is directly left of Peter.
5. The person who loves the stew is Arnold.
6. The person who is an artist is the person who is a pizza lover.
7. Arnold is the person who is an engineer.
8. Alice is the person's child is named Samantha.
9. The person who is a doctor is not in the first house.
10. The person's child is named Meredith is not in the fourth house.
11. Eric is the person's child is named Bella.
 What is the value of attribute Occupation for the person whose attribute Name is Peter? Please reason step by step, and put your final answer within \boxed{}

Answer: teacher


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`, `Bob`, `Alice`, `Arnold`, `Peter`
 - Each person has a unique hobby: `gardening`, `painting`, `knitting`, `photography`, `cooking`
 - People have unique favorite music genres: `classical`, `rock`, `hip hop`, `pop`, `jazz`

## Clues:
1. The person who loves pop music is somewhere to the left of the person who loves jazz music.
2. There is one house between the person who enjoys knitting and Alice.
3. Alice is somewhere to the right of Eric.
4. The person who loves jazz music is not in the second house.
5. There is one house between Bob and Alice.
6. Eric is somewhere to the left of the photography enthusiast.
7. There is one house between Eric and the person who loves classical music.
8. The person who loves rock music is the person who enjoys gardening.
9. The person who paints as a hobby is the person who loves hip-hop music.
10. Arnold and the person who loves hip-hop music are next to each other.
11. The person who enjoys knitting is the person who loves jazz music.
12. The person who enjoys knitting is not in the fifth house.
13. The person who paints as a hobby is not in the second house.
14. The person who loves pop music is not in the second house.
 What is the value of attribute MusicGenre for the person whose attribute Hobby is gardening? Please reason step by step, and put your final answer within \boxed{}

Answer: rock


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: `Eric`, `Arnold`, `Peter`
 - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`
 - People have unique favorite music genres: `rock`, `classical`, `pop`
 - Each person has a unique favorite drink: `water`, `milk`, `tea`
 - Everyone has a unique favorite cigar: `pall mall`, `blue master`, `prince`
 - Each person has a unique birthday month: `april`, `jan`, `sept`

## Clues:
1. The Prince smoker is not in the first house.
2. The person who likes milk is the person whose birthday is in April.
3. The person whose birthday is in January is somewhere to the right of Eric.
4. The person who loves pop music is directly left of the person who loves a bouquet of daffodils.
5. The one who only drinks water is the person who loves a bouquet of daffodils.
6. The person who likes milk is the person who smokes Blue Master.
7. Arnold is in the second house.
8. The person who loves rock music is the person whose birthday is in September.
9. The person who loves the boquet of lilies is somewhere to the left of the person whose birthday is in April.
 What is the value of attribute Birthday for the person whose attribute House is 3? Please reason step by step, and put your final answer within \boxed{}

Answer: jan


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`, `Eric`, `Alice`, `Bob`, `Arnold`
 - The people keep unique animals: `cat`, `horse`, `fish`, `dog`, `bird`
 - The mothers' names in different houses are unique: `Penny`, `Holly`, `Janelle`, `Kailyn`, `Aniya`

## Clues:
1. The person whose mother's name is Janelle and The person whose mother's name is Penny are next to each other.
2. There are two houses between the fish enthusiast and The person whose mother's name is Kailyn.
3. There are two houses between Peter and Bob.
4. The bird keeper is in the second house.
5. The person who keeps horses is directly left of the dog owner.
6. The fish enthusiast and Peter are next to each other.
7. The bird keeper is somewhere to the right of Alice.
8. The person whose mother's name is Aniya is somewhere to the left of The person whose mother's name is Penny.
9. The person whose mother's name is Janelle is in the second house.
10. Arnold is directly left of the person who keeps horses.
 What is the value of attribute Animal for the person whose attribute House is 4? Please reason step by step, and put your final answer within \boxed{}

Answer: horse


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`, `Bob`, `Eric`, `Arnold`, `Alice`
 - Each person has a unique birthday month: `jan`, `may`, `mar`, `feb`, `april`, `sept`
 - Each person has a unique type of pet: `rabbit`, `bird`, `cat`, `dog`, `fish`, `hamster`
 - People have unique favorite music genres: `hip hop`, `rock`, `pop`, `country`, `classical`, `jazz`
 - People have unique favorite book genres: `fantasy`, `romance`, `historical fiction`, `mystery`, `biography`, `science fiction`

## Clues:
1. The person with an aquarium of fish is not in the first house.
2. The person who loves country music is the person whose birthday is in February.
3. Arnold is directly left of the person whose birthday is in May.
4. There are two houses between the person who loves science fiction books and Alice.
5. The person who loves biography books is Eric.
6. The person with a pet hamster is Arnold.
7. The person who loves biography books is the person whose birthday is in May.
8. The person who loves pop music is the person who loves fantasy books.
9. The person who loves historical fiction books is the person whose birthday is in February.
10. The person who has a cat is the person whose birthday is in January.
11. Bob is in the sixth house.
12. The person who loves hip-hop music is the person whose birthday is in January.
13. The person who loves pop music is directly left of the person who loves jazz music.
14. The person who loves classical music is not in the third house.
15. The person whose birthday is in March is somewhere to the left of Carol.
16. Alice is the person whose birthday is in September.
17. The person with an aquarium of fish is the person who loves country music.
18. The person who owns a dog is not in the fifth house.
19. The person who loves pop music is in the fifth house.
20. Bob is the person who loves mystery books.
21. The person who keeps a pet bird is the person whose birthday is in April.
 What is the value of attribute Birthday for the person whose attribute Pet is dog? Please reason step by step, and put your final answer within \boxed{}

Answer: may


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 House for the person whose attribute Smoothie is cherry? Please reason step by step, and put your final answer within \boxed{}

Answer: 5


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: `Peter`, `Alice`, `Arnold`, `Eric`, `Carol`, `Bob`
 - People own unique car models: `toyota camry`, `ford f150`, `chevrolet silverado`, `tesla model 3`, `bmw 3 series`, `honda civic`
 - The people keep unique animals: `horse`, `fish`, `cat`, `rabbit`, `bird`, `dog`
 - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`, `dragonfruit`, `lime`, `blueberry`

## Clues:
1. The fish enthusiast is in the first house.
2. Peter is in the second house.
3. The person who owns a Chevrolet Silverado is Eric.
4. Alice is directly left of the person who owns a Toyota Camry.
5. The Watermelon smoothie lover is directly left of Bob.
6. The cat lover is Peter.
7. There are two houses between the dog owner and the person who drinks Blueberry smoothies.
8. The Watermelon smoothie lover is directly left of the person who keeps horses.
9. The person who owns a Chevrolet Silverado and the person who owns a Ford F-150 are next to each other.
10. The person who drinks Lime smoothies is not in the second house.
11. The cat lover is the person who owns a Tesla Model 3.
12. The person who likes Cherry smoothies is the rabbit owner.
13. The person who drinks Blueberry smoothies is somewhere to the right of Alice.
14. The person who owns a Chevrolet Silverado is not in the fifth house.
15. The person who keeps horses is the Desert smoothie lover.
16. Carol is the bird keeper.
17. The person who owns a Honda Civic is Arnold.
 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: 5


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`, `Bob`, `Eric`, `Peter`, `Arnold`
 - People have unique favorite music genres: `rock`, `pop`, `classical`, `jazz`, `hip hop`
 - People have unique hair colors: `gray`, `black`, `red`, `blonde`, `brown`
 - The people are of nationalities: `norwegian`, `german`, `dane`, `brit`, `swede`

## Clues:
1. The German is somewhere to the left of the person who loves rock music.
2. There are two houses between Alice and the British person.
3. The person who loves jazz music is the person who has gray hair.
4. There are two houses between the person who has black hair and Peter.
5. The Swedish person is the person who has red hair.
6. The person who loves pop music is somewhere to the left of Peter.
7. The person who has gray hair is the German.
8. Eric is the person who loves rock music.
9. Arnold is in the second house.
10. The person who has blonde hair is in the third house.
11. Alice is the Dane.
12. The person who loves classical music is somewhere to the left of the German.
 What is the value of attribute HairColor for the person whose attribute Nationality is german? Please reason step by step, and put your final answer within \boxed{}

Answer: gray


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 Peter? 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`, `Carol`, `Arnold`, `Alice`, `Peter`
 - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `iphone 13`, `huawei p50`, `oneplus 9`, `xiaomi mi 11`
 - Each person has a favorite color: `white`, `yellow`, `blue`, `green`, `red`, `purple`

## Clues:
1. The person whose favorite color is green is the person who uses a Google Pixel 6.
2. The person who uses a Xiaomi Mi 11 is somewhere to the right of the person who uses a Huawei P50.
3. There are two houses between Peter and the person whose favorite color is red.
4. Eric is somewhere to the right of the person whose favorite color is green.
5. Carol is the person who uses an iPhone 13.
6. The person who loves blue is not in the second house.
7. The person who uses a Samsung Galaxy S21 is somewhere to the left of the person who loves yellow.
8. The person who loves blue is somewhere to the left of the person who loves white.
9. Carol and the person whose favorite color is red are next to each other.
10. The person who uses a Google Pixel 6 is Bob.
11. Alice is the person who uses a Xiaomi Mi 11.
12. The person whose favorite color is green is not in the second house.
13. The person who loves purple is directly left of Carol.
14. Alice is the person who loves purple.
 What is the value of attribute PhoneModel for the person whose attribute Name is Peter? Please reason step by step, and put your final answer within \boxed{}

Answer: huawei p50


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: `Eric`, `Arnold`, `Peter`
 - Everyone has something unique for lunch: `spaghetti`, `grilled cheese`, `pizza`
 - People have unique favorite sports: `basketball`, `tennis`, `soccer`
 - People have unique hair colors: `black`, `blonde`, `brown`
 - People have unique favorite music genres: `classical`, `rock`, `pop`
 - People have unique favorite book genres: `science fiction`, `mystery`, `romance`

## Clues:
1. The person who loves basketball is somewhere to the left of the person who loves science fiction books.
2. The person who has brown hair is Eric.
3. The person who has brown hair is the person who is a pizza lover.
4. The person who loves romance books is the person who is a pizza lover.
5. Peter is the person who has blonde hair.
6. The person who loves science fiction books is the person who loves soccer.
7. The person who loves eating grilled cheese is the person who loves basketball.
8. The person who loves pop music is the person who has blonde hair.
9. The person who has brown hair is somewhere to the left of the person who loves rock music.
10. The person who loves classical music is not in the first house.
 What is the value of attribute House for the person whose attribute HairColor is blonde? 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: `Alice`, `Arnold`, `Eric`, `Peter`
 - People have unique heights: `short`, `very short`, `average`, `tall`
 - Each person has a favorite color: `yellow`, `white`, `red`, `green`
 - They all have a unique favorite flower: `lilies`, `roses`, `daffodils`, `carnations`
 - The people keep unique animals: `bird`, `fish`, `horse`, `cat`

## Clues:
1. The person who loves a carnations arrangement is somewhere to the left of the bird keeper.
2. Peter is not in the first house.
3. The person who loves the rose bouquet is directly left of Eric.
4. The person who loves a carnations arrangement and the person who loves the rose bouquet are next to each other.
5. Alice is directly left of the bird keeper.
6. The person who keeps horses is Peter.
7. The fish enthusiast is the person who loves a bouquet of daffodils.
8. The person whose favorite color is red is the person who loves a bouquet of daffodils.
9. The person who is tall is in the third house.
10. The person who has an average height is somewhere to the left of the person who loves white.
11. The person whose favorite color is green is not in the second house.
12. The person who is short is somewhere to the left of the person who is tall.
13. The person who is short is the person whose favorite color is green.
 What is the value of attribute Height for the person whose attribute Animal is cat? Please reason step by step, and put your final answer within \boxed{}

Answer: short


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`, `Arnold`, `Eric`, `Alice`
 - Everyone has something unique for lunch: `stew`, `stir fry`, `spaghetti`, `grilled cheese`, `pizza`
 - Everyone has a favorite smoothie: `watermelon`, `lime`, `desert`, `dragonfruit`, `cherry`
 - People have unique favorite book genres: `fantasy`, `biography`, `mystery`, `science fiction`, `romance`
 - Each person has a unique hobby: `photography`, `knitting`, `cooking`, `gardening`, `painting`

## Clues:
1. The person who loves stir fry is the Desert smoothie lover.
2. The person who loves the spaghetti eater is the person who enjoys gardening.
3. Bob is somewhere to the left of the person who loves mystery books.
4. The person who paints as a hobby is directly left of Alice.
5. The Desert smoothie lover is the person who loves romance books.
6. The photography enthusiast and the person who loves eating grilled cheese are next to each other.
7. The person who loves cooking is somewhere to the left of the Desert smoothie lover.
8. The person who likes Cherry smoothies is Alice.
9. There is one house between the person who drinks Lime smoothies and the person who enjoys gardening.
10. The Watermelon smoothie lover is Eric.
11. The person who loves eating grilled cheese is directly left of the Dragonfruit smoothie lover.
12. The person who is a pizza lover is Alice.
13. The person who loves romance books is Peter.
14. The person who loves fantasy books is the Watermelon smoothie lover.
15. Alice is the person who loves biography books.
16. Eric is not in the third house.
 What is the value of attribute Smoothie for the person whose attribute BookGenre is science fiction? Please reason step by step, and put your final answer within \boxed{}

Answer: lime


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`, `Eric`, `Arnold`, `Peter`
 - People have unique favorite sports: `basketball`, `soccer`, `tennis`, `swimming`
 - Each person lives in a unique style of house: `craftsman`, `victorian`, `ranch`, `colonial`
 - People have unique favorite book genres: `mystery`, `science fiction`, `romance`, `fantasy`

## Clues:
1. The person in a Craftsman-style house is somewhere to the left of the person who loves science fiction books.
2. The person residing in a Victorian house is somewhere to the right of the person living in a colonial-style house.
3. Eric is somewhere to the left of Arnold.
4. The person who loves basketball is the person who loves romance books.
5. The person who loves soccer is somewhere to the right of Arnold.
6. Alice is the person who loves tennis.
7. The person who loves science fiction books is the person in a ranch-style home.
8. The person who loves tennis is somewhere to the left of the person in a Craftsman-style house.
9. Arnold is directly left of the person who loves mystery books.
 What is the value of attribute Name for the person whose attribute FavoriteSport is soccer? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


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: `Peter`, `Carol`, `Eric`, `Alice`, `Bob`, `Arnold`
 - People use unique phone models: `huawei p50`, `google pixel 6`, `xiaomi mi 11`, `iphone 13`, `samsung galaxy s21`, `oneplus 9`
 - Everyone has a unique favorite cigar: `dunhill`, `pall mall`, `blends`, `blue master`, `prince`, `yellow monster`
 - They all have a unique favorite flower: `daffodils`, `carnations`, `roses`, `tulips`, `lilies`, `iris`
 - Each person has a favorite color: `yellow`, `red`, `green`, `blue`, `white`, `purple`
 - People have unique favorite sports: `soccer`, `tennis`, `basketball`, `volleyball`, `swimming`, `baseball`

## Clues:
1. The person who uses a OnePlus 9 is in the second house.
2. The person who uses a Xiaomi Mi 11 is somewhere to the left of the person who uses a Huawei P50.
3. Carol is the person who loves a carnations arrangement.
4. The person who loves purple is directly left of the person partial to Pall Mall.
5. The person whose favorite color is green is the person who smokes Blue Master.
6. The person who loves yellow and the person who loves blue are next to each other.
7. Eric is somewhere to the right of the person who uses a Samsung Galaxy S21.
8. There are two houses between Carol and the person who loves a bouquet of daffodils.
9. The Prince smoker is the person who loves basketball.
10. The Dunhill smoker is the person who loves volleyball.
11. The person who loves swimming is the person who uses a Google Pixel 6.
12. The person who uses a Huawei P50 is directly left of the person who loves white.
13. The person who uses a OnePlus 9 and the person who loves the rose bouquet are next to each other.
14. The person who loves the boquet of iris is somewhere to the left of Eric.
15. The Dunhill smoker is Peter.
16. The person who loves blue is Peter.
17. The person who loves the vase of tulips is Bob.
18. Alice is in the first house.
19. The person who loves baseball is directly left of the person who smokes Blue Master.
20. The person who uses a Google Pixel 6 is somewhere to the right of the person who smokes many unique blends.
21. The person who loves soccer is Carol.
22. The person who loves a carnations arrangement is directly left of the person who smokes many unique blends.
23. Eric is the person who smokes many unique blends.
24. The person who loves volleyball is the person who uses an iPhone 13.
 What is the value of attribute Flower for the person whose attribute Name is Bob? Please reason step by step, and put your final answer within \boxed{}

Answer: tulips


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 type of pet: `hamster`, `bird`, `fish`, `cat`, `dog`
 - Each person has an occupation: `doctor`, `engineer`, `lawyer`, `artist`, `teacher`
 - Each person lives in a unique style of house: `colonial`, `modern`, `ranch`, `craftsman`, `victorian`
 - Each person has a unique level of education: `high school`, `bachelor`, `master`, `doctorate`, `associate`

## Clues:
1. There are two houses between the person with a master's degree and the person in a modern-style house.
2. The person with an aquarium of fish is the person who is an artist.
3. The person who has a cat is the person who is an engineer.
4. The person with a bachelor's degree is the person with an aquarium of fish.
5. The person who has a cat is somewhere to the right of the person with an associate's degree.
6. The person with a master's degree is the person who is a lawyer.
7. The person who is a teacher is somewhere to the right of the person who keeps a pet bird.
8. The person with an associate's degree is the person living in a colonial-style house.
9. Peter is the person in a Craftsman-style house.
10. The person residing in a Victorian house is in the second house.
11. The person who is a teacher is Bob.
12. The person with an associate's degree is in the fourth house.
13. The person with a bachelor's degree is somewhere to the right of the person with a high school diploma.
14. There is one house between the person who owns a dog and the person in a ranch-style home.
15. Bob is somewhere to the right of Alice.
16. Eric is the person with a bachelor's degree.
 What is the value of attribute Name for the person whose attribute Occupation is doctor? 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: `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 Nationality for the person whose attribute HairColor is gray? Please reason step by step, and put your final answer within \boxed{}

Answer: swede


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`
 - People have unique heights: `very short`, `short`, `tall`, `average`, `very tall`
 - The mothers' names in different houses are unique: `Janelle`, `Kailyn`, `Penny`, `Holly`, `Aniya`
 - People have unique hair colors: `blonde`, `black`, `gray`, `red`, `brown`

## Clues:
1. The person who is tall is The person whose mother's name is Holly.
2. There are two houses between the person who has an average height and the person who is short.
3. The person who has gray hair is directly left of The person whose mother's name is Janelle.
4. The person who has black hair is not in the fourth house.
5. Eric is the person who has black hair.
6. The person who is very short is The person whose mother's name is Penny.
7. Eric and the person who has gray hair are next to each other.
8. Bob is in the fifth house.
9. The person who has red hair is Peter.
10. The person whose mother's name is Kailyn is directly left of the person who is short.
11. Arnold is the person who has brown hair.
12. The person who has brown hair is somewhere to the left of The person whose mother's name is Janelle.
13. The person whose mother's name is Aniya and the person who is very short are next to each other.
14. The person whose mother's name is Kailyn is in the third house.
 What is the value of attribute House for the person whose attribute Height is very tall? Please reason step by step, and put your final answer within \boxed{}

Answer: 3


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`, `Arnold`, `Eric`, `Bob`
 - Each person lives in a unique style of house: `ranch`, `modern`, `victorian`, `colonial`, `craftsman`
 - The people keep unique animals: `dog`, `horse`, `cat`, `bird`, `fish`

## Clues:
1. The dog owner is Arnold.
2. Arnold is not in the second house.
3. The person in a ranch-style home is somewhere to the left of Alice.
4. Peter is the person in a modern-style house.
5. The person in a modern-style house is somewhere to the right of the person living in a colonial-style house.
6. The person who keeps horses is somewhere to the left of Bob.
7. There is one house between the bird keeper and Peter.
8. The bird keeper is somewhere to the left of the cat lover.
9. The bird keeper is the person living in a colonial-style house.
10. The person residing in a Victorian house is Arnold.
11. The person who keeps horses is Peter.
 What is the value of attribute House for the person whose attribute Animal is fish? 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: `Eric`, `Bob`, `Arnold`, `Peter`, `Alice`
 - Each person has a unique hobby: `painting`, `knitting`, `cooking`, `photography`, `gardening`

## Clues:
1. Alice is in the fifth house.
2. Bob is directly left of the person who enjoys gardening.
3. The person who loves cooking and the person who paints as a hobby are next to each other.
4. The person who paints as a hobby is not in the third house.
5. The photography enthusiast is not in the third house.
6. Arnold is in the fourth house.
7. Bob is in the first house.
8. The person who enjoys knitting is directly left of Eric.
 What is the value of attribute Hobby for the person whose attribute House is 1? Please reason step by step, and put your final answer within \boxed{}

Answer: knitting


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`
 - Each person has a unique level of education: `associate`, `bachelor`, `high school`, `master`, `doctorate`
 - People have unique favorite sports: `swimming`, `basketball`, `tennis`, `baseball`, `soccer`
 - Each person prefers a unique type of vacation: `camping`, `cruise`, `city`, `mountain`, `beach`
 - People use unique phone models: `google pixel 6`, `huawei p50`, `oneplus 9`, `samsung galaxy s21`, `iphone 13`

## Clues:
1. The person who uses a Huawei P50 is not in the second house.
2. The person with a master's degree is the person who uses a Google Pixel 6.
3. The person who loves swimming is the person with a high school diploma.
4. The person with a bachelor's degree is directly left of the person who loves tennis.
5. The person who enjoys camping trips is the person who loves tennis.
6. Bob is the person who uses a Samsung Galaxy S21.
7. The person with a high school diploma is not in the third house.
8. The person who loves swimming is directly left of the person who loves beach vacations.
9. The person who likes going on cruises is Arnold.
10. Bob is the person with an associate's degree.
11. The person who uses a OnePlus 9 is directly left of the person who loves basketball.
12. The person who enjoys camping trips and the person who prefers city breaks are next to each other.
13. Eric is the person who loves swimming.
14. The person who loves basketball is the person who enjoys mountain retreats.
15. The person who loves tennis is somewhere to the left of Alice.
16. Arnold is the person who loves soccer.
 What is the value of attribute FavoriteSport for the person whose attribute Vacation is cruise? Please reason step by step, and put your final answer within \boxed{}

Answer: soccer


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`, `Eric`, `Arnold`, `Alice`, `Peter`
 - Each person has a favorite color: `blue`, `green`, `white`, `yellow`, `red`
 - People use unique phone models: `huawei p50`, `samsung galaxy s21`, `oneplus 9`, `iphone 13`, `google pixel 6`
 - Each person has an occupation: `artist`, `teacher`, `doctor`, `engineer`, `lawyer`

## Clues:
1. The person who is an engineer is somewhere to the right of the person who is a lawyer.
2. Bob is in the second house.
3. The person who uses a Samsung Galaxy S21 is the person who is a doctor.
4. The person who is a doctor is the person who loves blue.
5. The person whose favorite color is green is not in the fifth house.
6. The person who is a lawyer is the person who uses a OnePlus 9.
7. The person who loves blue is directly left of the person whose favorite color is red.
8. The person who is a lawyer is somewhere to the right of the person who uses a Samsung Galaxy S21.
9. There is one house between the person who uses a Google Pixel 6 and the person who uses a Huawei P50.
10. Arnold is the person who is an engineer.
11. Alice is the person who loves yellow.
12. The person who uses a Google Pixel 6 is Eric.
13. The person who uses a Google Pixel 6 is the person who is a teacher.
14. The person whose favorite color is red is somewhere to the right of the person who is a teacher.
 What is the value of attribute PhoneModel for the person whose attribute Color is yellow? Please reason step by step, and put your final answer within \boxed{}

Answer: oneplus 9


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`
 - Each person has a favorite color: `white`, `yellow`, `red`
 - Each person prefers a unique type of vacation: `city`, `mountain`, `beach`
 - Each person has a unique birthday month: `sept`, `april`, `jan`
 - Each mother is accompanied by their child: `Meredith`, `Fred`, `Bella`

## Clues:
1. The person whose birthday is in January is the person's child is named Bella.
2. The person who loves white is Arnold.
3. The person who loves beach vacations is Arnold.
4. The person whose birthday is in September is somewhere to the left of Arnold.
5. The person whose favorite color is red is directly left of the person who enjoys mountain retreats.
6. Peter is somewhere to the right of the person's child is named Fred.
7. The person who loves yellow is the person's child is named Bella.
 What is the value of attribute Birthday for the person whose attribute Vacation is mountain? Please reason step by step, and put your final answer within \boxed{}

Answer: jan


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 Food for the person whose attribute House is 1? Please reason step by step, and put your final answer within \boxed{}

Answer: stew


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`, `Alice`, `Arnold`, `Carol`, `Peter`, `Bob`
 - Each person lives in a unique style of house: `mediterranean`, `modern`, `craftsman`, `ranch`, `colonial`, `victorian`
 - People have unique favorite music genres: `country`, `hip hop`, `pop`, `jazz`, `classical`, `rock`
 - Each person has a unique hobby: `cooking`, `painting`, `photography`, `woodworking`, `gardening`, `knitting`

## Clues:
1. The person who loves rock music is in the fifth house.
2. The person who loves classical music and the woodworking hobbyist are next to each other.
3. The person in a Mediterranean-style villa is the person who loves hip-hop music.
4. There are two houses between Arnold and the person residing in a Victorian house.
5. The person who loves jazz music is directly left of Eric.
6. The person who loves hip-hop music is somewhere to the left of the person who enjoys knitting.
7. Carol is the person who loves hip-hop music.
8. The person in a Craftsman-style house is Arnold.
9. The person in a ranch-style home is Eric.
10. The woodworking hobbyist is the person residing in a Victorian house.
11. The person who loves country music is in the first house.
12. There is one house between the person who paints as a hobby and the person living in a colonial-style house.
13. Alice is the photography enthusiast.
14. The person who enjoys gardening is Eric.
15. Bob is in the third house.
 What is the value of attribute Hobby for the person whose attribute House is 1? Please reason step by step, and put your final answer within \boxed{}

Answer: painting


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`
 - The people are of nationalities: `brit`, `dane`, `swede`
 - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Holly`
 - People have unique favorite sports: `basketball`, `tennis`, `soccer`
 - Each person has an occupation: `engineer`, `teacher`, `doctor`
 - People have unique favorite music genres: `classical`, `pop`, `rock`

## Clues:
1. The person who loves basketball is the person who is an engineer.
2. The person who is an engineer is not in the second house.
3. Eric is The person whose mother's name is Holly.
4. The person who loves basketball is directly left of the person who loves pop music.
5. Arnold is the person who loves soccer.
6. The person who loves soccer is the person who loves rock music.
7. The Dane is Peter.
8. Peter is the person who is a teacher.
9. The person whose mother's name is Janelle is the Swedish person.
 What is the value of attribute MusicGenre for the person whose attribute Name is Arnold? Please reason step by step, and put your final answer within \boxed{}

Answer: rock


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 House for the person whose attribute Drink is tea? 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`
 - Everyone has something unique for lunch: `pizza`, `grilled cheese`, `spaghetti`
 - Each person has a unique birthday month: `april`, `jan`, `sept`
 - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`
 - People own unique car models: `toyota camry`, `ford f150`, `tesla model 3`
 - People have unique favorite music genres: `pop`, `classical`, `rock`

## Clues:
1. The person whose birthday is in January is not in the second house.
2. Arnold is directly left of the person who loves eating grilled cheese.
3. The person who owns a Tesla Model 3 is the person who loves pop music.
4. The Watermelon smoothie lover and the person who owns a Tesla Model 3 are next to each other.
5. The person whose birthday is in April is not in the third house.
6. The person who loves eating grilled cheese is the Desert smoothie lover.
7. The person who owns a Toyota Camry is the person who is a pizza lover.
8. The person who owns a Tesla Model 3 is the person who loves eating grilled cheese.
9. The person whose birthday is in January is the person who loves classical music.
10. The person who is a pizza lover is Eric.
11. Eric is not in the third house.
 What is the value of attribute House for the person whose attribute CarModel is ford f150? Please reason step by step, and put your final answer within \boxed{}

Answer: 2


The numbers 1 and 2 are written on the board. Each day, the scientific consultant Vybegallo replaces the two written numbers with their arithmetic mean and harmonic mean.

a) One day, one of the written numbers (it is unknown which one) turned out to be 941664/665857. What was the other number at that moment?

b) Will the number 35/24 ever be written?

Answer: \dfrac{665857}{470832}


5. In a certain social event, it was originally planned that each pair of people would shake hands exactly once, but four people each shook hands twice and then left. As a result, there were a total of 60 handshakes during the entire event. Then the number of people who initially participated in the event is $\qquad$

Answer: 15


14. Let $A B C D$ be a convex quadrilateral, $F$ a point on the segment $C D$, and $E$ the intersection point of $A C$ with $B F$. It is known that $A B = F C$, $A E = 14$, $B E = 10 \sqrt{2}$, $\widehat{B A C} = \widehat{B F D}$, and $\widehat{B E A} = 45^{\circ}$. What is the length of the segment $E F$?

Answer: 6


## 86. Math Puzzle $7 / 72$

The water tank of the LPG contains $1000 \mathrm{~m}^{3}$ of water and can be filled by two pumping stations in two days, provided no water is consumed. One pump delivers $300 \mathrm{~m}^{3}$ more water per day than the other.

How many days can the LPG withdraw $400 \mathrm{~m}^{3}$ of water daily if the larger pumping station is out of service?

Answer: 3


(4) Let $f(x)=\left\{\begin{array}{ll}x-[x], & x \leqslant 0, \\ f(x-1), & x>0,\end{array}\right.$ where $[x]$ denotes the greatest integer not exceeding $x$. If the equation $f(x)=k x+k(k>0)$ has three distinct real roots, then the range of the real number $k$ is $\qquad$.

Answer: \left[ \dfrac{1}{4}, \dfrac{1}{3} \right)


In the rectangular parallelepiped in the figure, the lengths of the segments $EH$, $HG$, and $EG$ are consecutive integers. The height of the parallelepiped is $12$. Find the volume of the parallelepiped.
[img]https://cdn.artofproblemsolving.com/attachments/6/4/f74e7fed38c815bff5539613f76b0c4ca9171b.png[/img]

Answer: 144


Ex. 119. The lengths of the sides of a triangle are integers. It is known that the height, drawn to one of the sides, divides it into integer segments, the difference of which is 7. For what smallest value of the length of this side is the height, drawn to it, also an integer?

Answer: 25


A natural number is called a [i]prime power[/i] if that number can be expressed as $p^n$ for some prime $p$ and natural number $n$.
Determine the largest possible $n$ such that there exists a sequence of prime powers $a_1, a_2, \dots, a_n$ such that $a_i = a_{i - 1} + a_{i - 2}$ for all $3 \le i \le n$.

Answer: 7


Example 2 uses $P^{*}$ to denote the set of all odd prime numbers less than 10000. Let $p$ be a number in $P^{*}$, satisfying: for any subset $S=\left\{p_{1}, p_{2}, \cdots, p_{k}\right\}$ of $P^{*}$ that does not contain $p$ and where $k \geqslant 2$, there exists $q \in \mathbf{P}^{*} \backslash S$ such that
$$(q+1) \mid\left(\left(p_{1}+1\right) \cdot\left(p_{2}+1\right) \cdot \cdots \cdot\left(p_{k}+1\right)\right)$$

Find all possible values of $p$.

Answer: 3


Example 1 Consider a complete graph with $n$ vertices. The vertices and edges of this complete graph are colored according to the following rules:
(1) Two edges emanating from the same vertex have different colors;
(2) The color of a vertex is different from the colors of the edges emanating from it.

For each fixed $n$, find the minimum number of colors required. ${ }^{[1]}$
(2007, Italian National Team Selection Exam)

Answer: n


2. Given that $P$ is a point inside the circle $\odot O$ with radius 15, among all the chords passing through point $P$, 24 chords have integer lengths. Then $O P=$ $\qquad$ .

Answer: 12


8.1. From 1812 identical squares with a side of 1 mm, a rectangular frame for a group photograph was made (see figure, the boundaries of the photograph coincide with the inner boundaries of the frame). Then the photograph was cut along the lines of the millimeter grid into two rectangular parts. Now two frames were needed, for which 2018 such squares were used. Find the dimensions of the original photograph.

![](https://cdn.mathpix.com/cropped/2024_05_06_63799b39c033d6fb87d1g-1.jpg?height=314&width=488&top_left_y=206&top_left_x=1458)

Answer: 101


In a convex quadrilateral $ABCD$ we are given that $\angle CAD=10^\circ$, $\angle DBC=20^\circ$, $\angle BAD=40^\circ$, $\angle ABC=50^\circ$. Compute angle $BDC$.

Answer: 40^\circ


Let $\triangle A_1B_1C_1$ be an equilateral triangle of area $60$.  Chloe constructs a new triangle $\triangle A_2B_2C_2$ as follows.  First, she flips a coin.  If it comes up heads, she constructs point $A_2$ such that $B_1$ is the midpoint of $\overline{A_2C_1}$.  If it comes up tails, she instead constructs $A_2$ such that $C_1$ is the midpoint of $\overline{A_2B_1}$.  She performs analogous operations on $B_2$ and $C_2$.  What is the expected value of the area of $\triangle A_2B_2C_2$?

Answer: 195


3. Given a triangle $ABC$ with the largest side $BC$. The bisector of its angle $C$ intersects the altitudes $AA_{1}$ and $BB_{1}$ at points $P$ and $Q$ respectively, and the circumcircle of $ABC$ at point $L$. Find $\angle ACB$, if it is known that $AP=LQ$.

Answer: 60^\circ


In triangle \( \triangle ABC \), point \( D \) is taken on side \( BC \). With \( D \) as the center, a semicircle is drawn inside the triangle, touching side \( AB \) at point \( F \) and \( AC \) at point \( E \). The lines \( BE \) and \( CF \) intersect at point \( H \). From point \( H \), draw \( HG \perp BC \), intersecting \( BC \) at point \( G \). Prove that \( HG \) bisects \(\angle FGE\).

Answer: HG \text{ bisects } \angle FGE


3. By the meaning of the problem, $x \geq 0, y \geq 0$.

Square both sides, we get: $x+y+2 \sqrt{x y}=2017$.

Consider the expression $(2017+x-y)^{2}$, we get

$$
(2017+x-y)^{2}=(x+y+2 \sqrt{x y}+x-y)^{2}=4 x(\sqrt{x}+\sqrt{y})^{2}=4 \cdot 2017 \cdot x .
$$

Since the expression $(2017+x-y)^{2}$ is a perfect square, the product $4 \cdot 2017 \cdot x$ is a perfect square.

Thus, $x=2017 \cdot k^{2}, k \in Z$.

Substitute the found value of $x$ into the original equation, we get

$$
\sqrt{2017} \cdot|k|+\sqrt{y}=\sqrt{2017}
$$

Notice that if $|k| \geq 2$, the equation has no solutions because the left side is greater than the right side.

If $k=0$, then $x=0, y=2017$.

If $|k|=1$, then $x=2017, y=0$.

Answer: (0, 2017)


5.1. Construct a rectangle, where each side is greater than 1, using six rectangles $7 \times 1, 6 \times 1, 5 \times 1, 4 \times 1, 3 \times 1, 2 \times 1$ and a square $1 \times 1$.

Answer: 7 \times 4


19. (15 points) In mid-August 2006, the city of Zixing in Hunan Province encountered a once-in-a-century flood disaster. At point $O$ on the shore of Dongjiang Lake (consider the lake shore as a straight line), a rescue boat was parked. Due to the sudden breakage of the rope, the boat was blown away, with a direction making a $15^{\circ}$ angle with the shore, at a speed of $2.5 \mathrm{~km} / \mathrm{h}$. At the same time, a person on the shore started chasing the boat from the same location. It is known that his speed on the shore is $4 \mathrm{~km} / \mathrm{h}$, and his speed in the water is $2 \mathrm{~km} / \mathrm{h}$. Can this person catch up with the boat? If the boat's speed changes, what is the maximum speed of the boat that this person can catch up with?

Answer: 2\sqrt{2}


Let $O$ be the set of odd numbers between 0 and 100.  Let $T$ be the set of subsets of $O$ of size $25$.  For any finite subset of integers $S$, let $P(S)$ be the product of the elements of $S$.  Define $n=\textstyle{\sum_{S \in T}} P(S)$.  If you divide $n$ by 17, what is the remainder?

Answer: 15


Zhendarov R.G.

In the cells of a $4 \times 4$ table, numbers are written such that the sum of the neighbors of each number is 1 (cells are considered neighbors if they share a side).

Find the sum of all the numbers in the table.

#

Answer: 6


There are $2022$ distinct integer points on the plane. Let $I$ be the number of pairs among these points with exactly $1$ unit apart. Find the maximum possible value of $I$.
([i]Note. An integer point is a point with integer coordinates.[/i])

[i]Proposed by CSJL.[/i]

Answer: 3954