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`, `Alice`, `Peter`, `Eric`
 - People own unique car models: `ford f150`, `tesla model 3`, `toyota camry`, `honda civic`
 - Each person has a unique birthday month: `april`, `sept`, `feb`, `jan`
 - Each person has an occupation: `teacher`, `artist`, `engineer`, `doctor`
 - Everyone has something unique for lunch: `pizza`, `stew`, `spaghetti`, `grilled cheese`

## Clues:
1. The person who owns a Toyota Camry is in the first house.
2. Eric and the person who loves the spaghetti eater are next to each other.
3. The person who is an engineer is the person who loves eating grilled cheese.
4. Peter is the person who owns a Toyota Camry.
5. The person whose birthday is in April is directly left of the person whose birthday is in February.
6. The person who is a doctor is somewhere to the right of the person who is an artist.
7. The person who owns a Ford F-150 is the person who is a doctor.
8. The person whose birthday is in September is somewhere to the left of Alice.
9. Arnold is the person who is an artist.
10. The person who loves the spaghetti eater is the person who owns a Ford F-150.
11. The person who is an engineer is the person whose birthday is in April.
12. The person whose birthday is in February and the person who is a pizza lover are next to each other.
13. The person who owns a Honda Civic is Eric.
 What is the value of attribute Birthday for the person whose attribute CarModel is tesla model 3? Please reason step by step, and put your final answer within \boxed{}

Answer: feb


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Bob`, `Eric`, `Carol`
 - Everyone has a favorite smoothie: `dragonfruit`, `cherry`, `watermelon`, `lime`, `desert`, `blueberry`
 - Each person has a unique birthday month: `mar`, `april`, `jan`, `may`, `sept`, `feb`
 - The people keep unique animals: `cat`, `rabbit`, `horse`, `bird`, `fish`, `dog`

## Clues:
1. The bird keeper is in the third house.
2. The person whose birthday is in May is somewhere to the left of Eric.
3. Eric is the Desert smoothie lover.
4. The rabbit owner is the person whose birthday is in January.
5. The fish enthusiast is directly left of the person who likes Cherry smoothies.
6. The person whose birthday is in September is Peter.
7. There is one house between Peter and the rabbit owner.
8. The person who drinks Lime smoothies is not in the sixth house.
9. The Watermelon smoothie lover is the dog owner.
10. The person whose birthday is in April is somewhere to the right of Carol.
11. The bird keeper is somewhere to the left of the person who keeps horses.
12. The person who drinks Lime smoothies is Alice.
13. The Dragonfruit smoothie lover is directly left of Carol.
14. The person who drinks Blueberry smoothies is the person whose birthday is in February.
15. The person whose birthday is in September is in the third house.
16. Bob is the Dragonfruit smoothie lover.
17. The person who likes Cherry smoothies is somewhere to the left of the person whose birthday is in May.
18. The rabbit owner is the Desert smoothie lover.
 What is the value of attribute Smoothie for the person whose attribute House is 6? Please reason step by step, and put your final answer within \boxed{}

Answer: watermelon


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`, `Arnold`, `Alice`, `Peter`
 - Everyone has a unique favorite cigar: `blue master`, `dunhill`, `pall mall`, `prince`
 - Everyone has something unique for lunch: `stew`, `spaghetti`, `pizza`, `grilled cheese`
 - People have unique favorite book genres: `fantasy`, `mystery`, `science fiction`, `romance`

## Clues:
1. Arnold is the person who loves eating grilled cheese.
2. The person who smokes Blue Master is Alice.
3. Arnold is in the second house.
4. The person who is a pizza lover and the person who loves the stew are next to each other.
5. Arnold is the person who loves science fiction books.
6. The person partial to Pall Mall is the person who loves eating grilled cheese.
7. Eric is somewhere to the left of Alice.
8. The person who is a pizza lover is somewhere to the left of the Dunhill smoker.
9. The person who loves fantasy books is the person who loves the stew.
10. The person who loves mystery books is not in the first house.
 What is the value of attribute Name for the person whose attribute BookGenre is fantasy? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Arnold`, `Peter`, `Eric`
 - Each person lives in a unique style of house: `victorian`, `craftsman`, `ranch`, `colonial`
 - The people keep unique animals: `fish`, `cat`, `horse`, `bird`
 - Each person has a unique hobby: `cooking`, `painting`, `gardening`, `photography`

## Clues:
1. The person who loves cooking is in the second house.
2. The fish enthusiast is not in the first house.
3. Alice is in the second house.
4. The cat lover is the person residing in a Victorian house.
5. The person who enjoys gardening is the person residing in a Victorian house.
6. The person in a ranch-style home is not in the first house.
7. The person who keeps horses is somewhere to the right of the person residing in a Victorian house.
8. Peter is somewhere to the left of the person who paints as a hobby.
9. The person in a Craftsman-style house is Eric.
10. The person residing in a Victorian house is in the third house.
11. Peter is directly left of the person living in a colonial-style house.
 What is the value of attribute Name for the person whose attribute HouseStyle is victorian? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Arnold`
 - The mothers' names in different houses are unique: `Janelle`, `Holly`, `Aniya`, `Kailyn`
 - Everyone has a favorite smoothie: `watermelon`, `dragonfruit`, `desert`, `cherry`
 - People have unique heights: `tall`, `average`, `short`, `very short`
 - Each person has a unique level of education: `high school`, `associate`, `master`, `bachelor`

## Clues:
1. The person whose mother's name is Janelle is in the third house.
2. The Desert smoothie lover is the person with a master's degree.
3. The Desert smoothie lover is not in the first house.
4. The person who is very short is somewhere to the left of the person with a high school diploma.
5. Eric and the person who likes Cherry smoothies are next to each other.
6. The person with a high school diploma is not in the third house.
7. The person whose mother's name is Kailyn is the person with an associate's degree.
8. The person who likes Cherry smoothies is The person whose mother's name is Aniya.
9. The person who is tall is The person whose mother's name is Janelle.
10. Arnold is somewhere to the right of the person who has an average height.
11. The Dragonfruit smoothie lover is directly left of the person who is short.
12. The person who is tall is Alice.
 What is the value of attribute Mother for the person whose attribute Smoothie is dragonfruit? Please reason step by step, and put your final answer within \boxed{}

Answer: Janelle


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Arnold`, `Alice`, `Peter`, `Eric`
 - People use unique phone models: `oneplus 9`, `google pixel 6`, `iphone 13`, `huawei p50`, `samsung galaxy s21`
 - Each person has a favorite color: `blue`, `red`, `yellow`, `green`, `white`
 - The mothers' names in different houses are unique: `Janelle`, `Penny`, `Holly`, `Aniya`, `Kailyn`
 - The people are of nationalities: `german`, `norwegian`, `swede`, `dane`, `brit`
 - Everyone has something unique for lunch: `spaghetti`, `grilled cheese`, `stew`, `pizza`, `stir fry`

## Clues:
1. The person who uses a OnePlus 9 and Arnold are next to each other.
2. There are two houses between the person who uses a OnePlus 9 and The person whose mother's name is Kailyn.
3. The person whose mother's name is Penny is somewhere to the left of the Swedish person.
4. The person who loves yellow is the person who uses a Google Pixel 6.
5. The person who loves eating grilled cheese is The person whose mother's name is Holly.
6. Arnold is the person who loves the spaghetti eater.
7. Bob is the person who uses a Huawei P50.
8. The German is the person who is a pizza lover.
9. Eric is directly left of the person who loves blue.
10. Alice is The person whose mother's name is Holly.
11. The person who loves stir fry is the British person.
12. The person whose mother's name is Penny is not in the third house.
13. Arnold is directly left of the person who uses a Huawei P50.
14. The British person is somewhere to the left of the Dane.
15. The person who uses a Google Pixel 6 is Arnold.
16. The person whose mother's name is Aniya is the person who uses a Samsung Galaxy S21.
17. The person who loves blue is the Norwegian.
18. The person who loves white is the person who uses a Huawei P50.
19. The person whose favorite color is red is directly left of the person who loves blue.
 What is the value of attribute Nationality for the person whose attribute House is 4? Please reason step by step, and put your final answer within \boxed{}

Answer: german


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`, `Peter`, `Alice`
 - Each person has a unique level of education: `master`, `high school`, `associate`, `bachelor`
 - Everyone has something unique for lunch: `stew`, `grilled cheese`, `pizza`, `spaghetti`
 - People have unique favorite sports: `soccer`, `swimming`, `tennis`, `basketball`
 - People have unique hair colors: `blonde`, `black`, `brown`, `red`
 - People have unique favorite book genres: `mystery`, `fantasy`, `science fiction`, `romance`

## Clues:
1. The person who loves the stew is in the first house.
2. The person who loves science fiction books is the person who has black hair.
3. The person who has blonde hair is not in the second house.
4. The person with a master's degree is in the first house.
5. Eric is the person who loves soccer.
6. The person with a master's degree and the person who loves mystery books are next to each other.
7. The person who loves tennis is the person with a high school diploma.
8. The person who loves the spaghetti eater is the person who loves science fiction books.
9. The person who is a pizza lover is the person with an associate's degree.
10. The person who has blonde hair is not in the fourth house.
11. The person with a master's degree is directly left of Eric.
12. The person with a bachelor's degree is directly left of the person who loves fantasy books.
13. The person who has red hair is Peter.
14. The person who loves swimming is directly left of the person who is a pizza lover.
15. Alice is not in the first house.
 What is the value of attribute BookGenre for the person whose attribute HairColor is brown? Please reason step by step, and put your final answer within \boxed{}

Answer: mystery


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`
 - People have unique favorite music genres: `rock`, `jazz`, `classical`, `pop`
 - People have unique favorite book genres: `mystery`, `science fiction`, `fantasy`, `romance`
 - Everyone has a unique favorite cigar: `prince`, `blue master`, `pall mall`, `dunhill`
 - Each person has a unique birthday month: `april`, `jan`, `feb`, `sept`
 - Each person has a unique favorite drink: `water`, `tea`, `milk`, `coffee`

## Clues:
1. The person whose birthday is in September is the one who only drinks water.
2. The person who loves rock music and the person who loves jazz music are next to each other.
3. The person who loves mystery books is the person who smokes Blue Master.
4. Alice is the person who loves classical music.
5. The person who loves jazz music is the person who likes milk.
6. The person who loves jazz music is directly left of the person who loves romance books.
7. The person who loves rock music is not in the fourth house.
8. The person whose birthday is in February is Arnold.
9. The Prince smoker and the person who loves classical music are next to each other.
10. The coffee drinker is the person who loves science fiction books.
11. The person who loves mystery books is the person whose birthday is in September.
12. Peter is the person who loves jazz music.
13. The Dunhill smoker is the person whose birthday is in April.
14. The person who loves mystery books is in the second house.
 What is the value of attribute Drink for the person whose attribute BookGenre is fantasy? Please reason step by step, and put your final answer within \boxed{}

Answer: milk


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Arnold`, `Alice`, `Peter`, `Eric`
 - Each person prefers a unique type of vacation: `camping`, `city`, `beach`, `cruise`, `mountain`
 - People have unique heights: `very tall`, `average`, `very short`, `short`, `tall`
 - They all have a unique favorite flower: `tulips`, `roses`, `carnations`, `lilies`, `daffodils`
 - Each person has a unique level of education: `bachelor`, `master`, `associate`, `high school`, `doctorate`
 - People own unique car models: `bmw 3 series`, `tesla model 3`, `toyota camry`, `ford f150`, `honda civic`

## Clues:
1. Eric is the person who prefers city breaks.
2. Arnold is the person who is tall.
3. The person who loves beach vacations is the person who loves the boquet of lilies.
4. The person who owns a BMW 3 Series is the person who is tall.
5. The person with an associate's degree is the person who loves the boquet of lilies.
6. The person who has an average height is Eric.
7. Peter is the person who owns a Toyota Camry.
8. The person who has an average height is somewhere to the right of the person who loves a bouquet of daffodils.
9. The person who owns a Honda Civic is somewhere to the left of the person who loves the boquet of lilies.
10. Eric is the person who owns a Ford F-150.
11. The person who loves the vase of tulips is in the fourth house.
12. The person who is very short is not in the fourth house.
13. Eric is the person with a high school diploma.
14. The person who enjoys mountain retreats is somewhere to the right of the person with a master's degree.
15. The person who likes going on cruises is not in the third house.
16. Bob is the person who is short.
17. The person with an associate's degree is directly left of Arnold.
18. The person with a bachelor's degree is the person who is very tall.
19. The person who loves a carnations arrangement is directly left of the person with a doctorate.
 What is the value of attribute Height for the person whose attribute Flower is daffodils? Please reason step by step, and put your final answer within \boxed{}

Answer: very tall


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`, `Alice`, `Bob`, `Arnold`
 - The people are of nationalities: `norwegian`, `brit`, `swede`, `dane`, `german`
 - Each person prefers a unique type of vacation: `cruise`, `mountain`, `camping`, `beach`, `city`
 - Each person has a unique level of education: `bachelor`, `master`, `associate`, `doctorate`, `high school`
 - Each person has an occupation: `artist`, `doctor`, `engineer`, `teacher`, `lawyer`

## Clues:
1. The person who likes going on cruises is the person who is a lawyer.
2. The person who loves beach vacations is directly left of Arnold.
3. The person with a doctorate is somewhere to the left of Bob.
4. The person with an associate's degree is the person who likes going on cruises.
5. Peter is not in the first house.
6. The person who is an artist is Peter.
7. The person who enjoys camping trips is the person with a master's degree.
8. The Dane is somewhere to the right of the person who is a doctor.
9. The person with an associate's degree is directly left of the person who is an engineer.
10. The person who enjoys camping trips is the British person.
11. The Norwegian and the person with a bachelor's degree are next to each other.
12. The person who is an artist is the Swedish person.
13. Bob is not in the fourth house.
14. The person who enjoys camping trips is Eric.
15. Alice is the German.
16. The person who loves beach vacations is somewhere to the left of the person who prefers city breaks.
17. The person who enjoys mountain retreats is in the fifth house.
18. The person who likes going on cruises is somewhere to the right of the person who loves beach vacations.
19. The person with a bachelor's degree is in the third house.
 What is the value of attribute Occupation for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: teacher


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Arnold`, `Carol`, `Bob`, `Eric`, `Peter`
 - People use unique phone models: `iphone 13`, `samsung galaxy s21`, `xiaomi mi 11`, `oneplus 9`, `google pixel 6`, `huawei p50`
 - Each person has a unique birthday month: `april`, `mar`, `feb`, `may`, `jan`, `sept`
 - Each person has an occupation: `nurse`, `doctor`, `engineer`, `teacher`, `artist`, `lawyer`

## Clues:
1. The person who uses a Google Pixel 6 is directly left of the person whose birthday is in March.
2. The person who is a nurse is Eric.
3. Arnold is directly left of the person whose birthday is in April.
4. Alice and the person whose birthday is in January are next to each other.
5. The person who is an artist is the person whose birthday is in May.
6. The person whose birthday is in September is not in the sixth house.
7. There is one house between the person whose birthday is in March and the person who is a nurse.
8. The person whose birthday is in March is the person who is a lawyer.
9. The person who uses a Xiaomi Mi 11 is directly left of the person who is a nurse.
10. The person who is a teacher is not in the sixth house.
11. Eric is the person who uses an iPhone 13.
12. The person who is an engineer and Peter are next to each other.
13. The person whose birthday is in January is in the third house.
14. The person who uses a Samsung Galaxy S21 is Bob.
15. The person who is a lawyer and the person whose birthday is in April are next to each other.
16. The person who uses a OnePlus 9 is somewhere to the right of the person who is a doctor.
 What is the value of attribute PhoneModel for the person whose attribute House is 4? 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`, `Peter`, `Eric`
 - Each person has a unique hobby: `gardening`, `photography`, `cooking`
 - Each person prefers a unique type of vacation: `mountain`, `city`, `beach`
 - Everyone has a unique favorite cigar: `pall mall`, `prince`, `blue master`
 - The mothers' names in different houses are unique: `Janelle`, `Holly`, `Aniya`
 - People have unique heights: `short`, `average`, `very short`

## Clues:
1. The person who loves beach vacations is somewhere to the right of the person who is very short.
2. The person whose mother's name is Aniya is somewhere to the right of the person who loves cooking.
3. Eric is not in the second house.
4. The person who is short is in the third house.
5. The person who prefers city breaks is the photography enthusiast.
6. The person who enjoys gardening is the person who enjoys mountain retreats.
7. The person partial to Pall Mall is the photography enthusiast.
8. The person who enjoys mountain retreats is The person whose mother's name is Holly.
9. The person who enjoys gardening is the person who smokes Blue Master.
10. Peter is The person whose mother's name is Aniya.
 What is the value of attribute House for the person whose attribute Hobby is cooking? Please reason step by step, and put your final answer within \boxed{}

Answer: 2


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Bob`, `Eric`, `Peter`, `Arnold`
 - Each person has a unique type of pet: `hamster`, `bird`, `fish`, `dog`, `cat`
 - Each person has a unique favorite drink: `coffee`, `milk`, `root beer`, `water`, `tea`
 - People have unique favorite sports: `soccer`, `swimming`, `tennis`, `baseball`, `basketball`
 - People use unique phone models: `oneplus 9`, `google pixel 6`, `iphone 13`, `huawei p50`, `samsung galaxy s21`

## Clues:
1. The root beer lover is the person who owns a dog.
2. The person who uses an iPhone 13 is the root beer lover.
3. There is one house between the person who owns a dog and the person who uses a Google Pixel 6.
4. Bob is somewhere to the right of the person who uses a OnePlus 9.
5. Alice is not in the fourth house.
6. Eric is in the fifth house.
7. The person who likes milk is the person who uses a Samsung Galaxy S21.
8. The person who loves baseball is the person who uses a Google Pixel 6.
9. The coffee drinker is in the third house.
10. Peter is the tea drinker.
11. The person who loves basketball is the person who owns a dog.
12. The person with a pet hamster is the person who loves tennis.
13. There are two houses between Alice and the tea drinker.
14. The person who loves soccer is the tea drinker.
15. The person who keeps a pet bird is directly left of the person with an aquarium of fish.
16. The person with an aquarium of fish is the person who likes milk.
 What is the value of attribute House for the person whose attribute FavoriteSport is basketball? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


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

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

Answer: german


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Arnold`, `Eric`
 - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Aniya`
 - People have unique heights: `very short`, `average`, `short`
 - People have unique favorite sports: `basketball`, `tennis`, `soccer`

## Clues:
1. The person who loves tennis is somewhere to the left of The person whose mother's name is Aniya.
2. The person who is short is The person whose mother's name is Holly.
3. The person who loves tennis and the person who is very short are next to each other.
4. The person who loves soccer is somewhere to the right of Arnold.
5. Eric is not in the first house.
6. Arnold is in the second house.
7. The person whose mother's name is Holly is in the third house.
 What is the value of attribute Height for the person whose attribute Mother is Aniya? Please reason step by step, and put your final answer within \boxed{}

Answer: very short


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`, `Alice`, `Carol`, `Bob`, `Arnold`
 - The people keep unique animals: `horse`, `fish`, `cat`, `bird`, `dog`, `rabbit`
 - Each person has a unique birthday month: `sept`, `mar`, `jan`, `feb`, `april`, `may`
 - The mothers' names in different houses are unique: `Holly`, `Sarah`, `Penny`, `Kailyn`, `Aniya`, `Janelle`
 - Each person prefers a unique type of vacation: `beach`, `cruise`, `cultural`, `camping`, `city`, `mountain`

## Clues:
1. The person whose birthday is in February is the fish enthusiast.
2. The person whose birthday is in May is somewhere to the right of The person whose mother's name is Penny.
3. The person who loves beach vacations is Peter.
4. The person whose mother's name is Janelle is Carol.
5. The rabbit owner is Bob.
6. The rabbit owner is the person whose birthday is in May.
7. The person whose mother's name is Kailyn is in the fourth house.
8. The person who enjoys camping trips is the cat lover.
9. The person who likes going on cruises is in the sixth house.
10. The person whose birthday is in April is the dog owner.
11. Alice is The person whose mother's name is Aniya.
12. The person whose birthday is in May and The person whose mother's name is Sarah are next to each other.
13. The person whose mother's name is Holly is the cat lover.
14. There are two houses between the person whose birthday is in March and the rabbit owner.
15. The dog owner is directly left of the person who keeps horses.
16. The person whose birthday is in February is in the second house.
17. The rabbit owner is somewhere to the right of the person who goes on cultural tours.
18. Carol is in the second house.
19. The person whose birthday is in September is the person who prefers city breaks.
20. Eric is not in the first house.
 What is the value of attribute Mother for the person whose attribute Birthday is april? Please reason step by step, and put your final answer within \boxed{}

Answer: Sarah


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Bob`, `Eric`
 - People have unique heights: `very tall`, `average`, `tall`, `very short`, `short`
 - Each person prefers a unique type of vacation: `beach`, `mountain`, `cruise`, `city`, `camping`
 - Each person has a unique level of education: `master`, `doctorate`, `associate`, `high school`, `bachelor`

## Clues:
1. The person who is very tall is directly left of the person with an associate's degree.
2. The person who has an average height and the person who enjoys mountain retreats are next to each other.
3. Eric is the person who is short.
4. The person who prefers city breaks is in the fourth house.
5. The person who loves beach vacations is the person who is very tall.
6. The person with a master's degree is Bob.
7. The person who enjoys camping trips is not in the third house.
8. The person who has an average height is not in the second house.
9. The person with a doctorate is directly left of Alice.
10. The person with a master's degree is the person who enjoys camping trips.
11. The person who enjoys camping trips is not in the first house.
12. The person with a doctorate is the person who is tall.
13. The person with a high school diploma is somewhere to the right of the person who has an average height.
14. Arnold is the person with a doctorate.
 What is the value of attribute House for the person whose attribute Education is bachelor? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


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

## Clues:
1. The person who goes on cultural tours is Arnold.
2. The person who loves beach vacations is the British person.
3. The person who prefers city breaks is Carol.
4. The Dane is directly left of the person who prefers city breaks.
5. The person who prefers city breaks is the Swedish person.
6. The person who likes going on cruises is not in the sixth house.
7. The person who loves beach vacations is directly left of the person who likes going on cruises.
8. Carol is directly left of Eric.
9. The person who prefers city breaks is in the second house.
10. Bob is not in the first house.
11. Bob is not in the fifth house.
12. Eric is somewhere to the left of Peter.
13. The British person is somewhere to the left of the Chinese.
14. The Norwegian and Arnold are next to each other.
15. The Dane is the person who enjoys camping trips.
16. The British person is not in the third house.
 What is the value of attribute House for the person whose attribute Nationality is swede? Please reason step by step, and put your final answer within \boxed{}

Answer: 2


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 has a unique hobby: `gardening`, `photography`, `cooking`
 - Each person prefers a unique type of vacation: `mountain`, `city`, `beach`
 - Everyone has a unique favorite cigar: `pall mall`, `prince`, `blue master`
 - The mothers' names in different houses are unique: `Janelle`, `Holly`, `Aniya`
 - People have unique heights: `short`, `average`, `very short`

## Clues:
1. The person who loves beach vacations is somewhere to the right of the person who is very short.
2. The person whose mother's name is Aniya is somewhere to the right of the person who loves cooking.
3. Eric is not in the second house.
4. The person who is short is in the third house.
5. The person who prefers city breaks is the photography enthusiast.
6. The person who enjoys gardening is the person who enjoys mountain retreats.
7. The person partial to Pall Mall is the photography enthusiast.
8. The person who enjoys mountain retreats is The person whose mother's name is Holly.
9. The person who enjoys gardening is the person who smokes Blue Master.
10. Peter is The person whose mother's name is Aniya.
 What is the value of attribute Hobby for the person whose attribute Mother is Aniya? Please reason step by step, and put your final answer within \boxed{}

Answer: photography


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`, `Arnold`, `Bob`, `Peter`, `Alice`
 - Everyone has a unique favorite cigar: `dunhill`, `blue master`, `blends`, `pall mall`, `prince`
 - Each person has an occupation: `lawyer`, `artist`, `engineer`, `doctor`, `teacher`
 - People own unique car models: `ford f150`, `toyota camry`, `honda civic`, `bmw 3 series`, `tesla model 3`
 - Everyone has a favorite smoothie: `watermelon`, `cherry`, `dragonfruit`, `desert`, `lime`
 - Everyone has something unique for lunch: `stew`, `spaghetti`, `grilled cheese`, `pizza`, `stir fry`

## Clues:
1. There are two houses between the person who owns a BMW 3 Series and the person who owns a Tesla Model 3.
2. The person who is an artist is Bob.
3. The person who owns a Ford F-150 is the person who smokes Blue Master.
4. The person who loves the spaghetti eater is in the second house.
5. The person who is an engineer is the Watermelon smoothie lover.
6. Alice is the person who drinks Lime smoothies.
7. The person who is an artist is the Dunhill smoker.
8. The person who likes Cherry smoothies is not in the fifth house.
9. Peter is not in the fourth house.
10. The Desert smoothie lover is the person who loves stir fry.
11. The person who likes Cherry smoothies is somewhere to the right of the person who smokes many unique blends.
12. The person who is a teacher is the person who loves eating grilled cheese.
13. Arnold is the person who is a lawyer.
14. The Dragonfruit smoothie lover is the person who owns a Honda Civic.
15. Peter is somewhere to the right of the Desert smoothie lover.
16. The Prince smoker is the Watermelon smoothie lover.
17. There is one house between the person who owns a Honda Civic and the person who loves the stew.
18. The person who owns a Tesla Model 3 is the person who likes Cherry smoothies.
19. The person who owns a Ford F-150 is directly left of the person who is a doctor.
20. The person who is an artist is the Desert smoothie lover.
 What is the value of attribute House for the person whose attribute Occupation is engineer? Please reason step by step, and put your final answer within \boxed{}

Answer: 5


In a dark room, there are four pairs of socks in disarray on a shelf, consisting of two different sizes and two different colors. What is the minimum number of socks that need to be moved from the shelf to a suitcase to ensure that there are two pairs of different sizes and colors?

Answer: 7


Let  $ABC$  be an equilateral triangle, and let  $D$  and  $F$  be points on sides  $BC$  and  $AB$ , respectively, with  $FA=5$  and  $CD=2$ .  Point  $E$  lies on side  $CA$  such that  $\angle DEF = 60^\circ$ .  The area of triangle  $DEF$  is  $14\sqrt{3}$ .  The two possible values of the length of side  $AB$  are  $p \pm q\sqrt{r}$ , where  $p$  and  $q$  are rational, and  $r$  is an integer not divisible by the square of a prime.  Find  $r$ .

Answer: 989


Let  $\omega$  be an incircle of triangle  $ABC$ . Let  $D$  be a point on segment  $BC$ , which is tangent to  $\omega$ . Let  $X$  be an intersection of  $AD$  and  $\omega$  against  $D$ . If  $AX : XD : BC = 1 : 3 : 10$ , a radius of  $\omega$  is  $1$ , find the length of segment  $XD$ . Note that  $YZ$  expresses the length of segment  $YZ$ .

Answer: \frac{3\sqrt{10}}{5}


Let  $\triangle ABC$  have median  $CM$  ( $M\in AB$ ) and circumcenter  $O$ . The circumcircle of  $\triangle AMO$  bisects  $CM$ . Determine the least possible perimeter of  $\triangle ABC$  if it has integer side lengths.

Answer: 24


A spinning turntable is rotating in a vertical plane with period  $ 500 \, \text{ms} $ . It has diameter 2 feet carries a ping-pong ball at the edge of its circumference. The ball is bolted on to the turntable but is released from its clutch at a moment in time when the ball makes a subtended angle of  $\theta>0$  with the respect to the horizontal axis that crosses the center. This is illustrated in the figure. The ball flies up in the air, making a parabola and, when it comes back down, it does not hit the turntable. This can happen only if  $\theta>\theta_m$ . Find  $\theta_m$ , rounded to the nearest integer degree?

[asy]
filldraw(circle((0,0),1),gray(0.7));
draw((0,0)--(0.81915, 0.57358));
dot((0.81915, 0.57358));
draw((0.81915, 0.57358)--(0.475006, 1.06507));
arrow((0.417649,1.14698), dir(305), 12);
draw((0,0)--(1,0),dashed);
label(" $\theta$ ", (0.2, 0.2/3), fontsize(8));
label(" $r$ ", (0.409575,0.28679), NW, fontsize(8));
[/asy]

*Problem proposed by Ahaan Rungta*

Answer: 12


A square in the *xy*-plane has area *A*, and three of its vertices have *x*-coordinates  $2,0,$  and  $18$  in some order. Find the sum of all possible values of *A*.

Answer: 1168


In the plane,  $2022$  points are chosen such that no three points lie on the same line. Each of the points is coloured red or blue such that each triangle formed by three distinct red points contains at least one blue point.
What is the largest possible number of red points?

*Proposed by Art Waeterschoot, Belgium*

Answer: 1012


Let  ${a_n}$  and  ${b_n}$  be positive real sequence that satisfy the following condition:
(i)  $a_1=b_1=1$ (ii)  $b_n=a_n b_{n-1}-2$ (iii)  $n$  is an integer larger than  $1$ .
Let  ${b_n}$  be a bounded sequence. Prove that  $\sum_{n=1}^{\infty} \frac{1}{a_1a_2\cdots a_n}$  converges. Find the value of the sum.

Answer: \frac{3}{2}


In the diagram below, square  $ABCD$  with side length 23 is cut into nine rectangles by two lines parallel to  $\overline{AB}$  and two lines parallel to  $\overline{BC}$ . The areas of four of these rectangles are indicated in the diagram. Compute the largest possible value for the area of the central rectangle.

[asy]
size(250);
 defaultpen (linewidth (0.7) + fontsize (10));
		 draw ((0,0)--(23,0)--(23,23)--(0,23)--cycle);
		 label(" $A$ ", (0,23), NW);
		 label(" $B$ ", (23, 23), NE);
		 label(" $C$ ", (23,0), SE);
		 label(" $D$ ", (0,0), SW);
		 draw((0,6)--(23,6));
		 draw((0,19)--(23,19));
		 draw((5,0)--(5,23));
		 draw((12,0)--(12,23));
		 label("13", (17/2, 21));
		 label("111",(35/2,25/2));
		 label("37",(17/2,3));
		 label("123",(2.5,12.5));[/asy]

*Proposed by Lewis Chen*

Answer: 180


A student did not notice multiplication sign between two three-digit numbers and wrote it as a six-digit number. Result was 7 times more that it should be. Find these numbers.

*(2 points)*

Answer: (143,143)


In the  $ x \minus{} y$  plane, let  $ l$  be the tangent line at the point  $ A\left(\frac {a}{2},\ \frac {\sqrt {3}}{2}b\right)$  on the ellipse  $ \frac {x^2}{a^2} \plus{} \frac {y^2}{b^2}\equal{}1\ (0 < b < 1 < a)$ . Let denote  $ S$  be the area of the figure bounded by  $ l,$  the  $ x$  axis and the ellipse.

(1) Find the equation of  $ l$ .

(2) Express  $ S$  in terms of  $ a,\ b$ .

(3) Find the maximum value of  $ S$  with the constraint  $ a^2 \plus{} 3b^2 \equal{} 4$ .

Answer: 1-\frac{\pi}{3\sqrt{3}}


Let  $u$  be a real number. On the coordinate plane, consider two parabolas  $C_1: y=-x^2+1,\ C_2: y=(x-u)^2+u$ .
The range of  $u$  such that  $C_1$  and  $C_2$  have at least one point of intersection is expressed by  $a\leq u\leq b$  for some real numbers  $a,\ b$ .

(1) Find the values of  $a,\ b$ .

(2) When  $u$  satisfies  $a\leq u\leq b$ , let  $P_1(x_1,\ y_1),\ P_2(x_2,\ y_2)$  be the point of intersections of  $C_1$  and  $C_2$ .

Note : if the point of intersection is just one, then we regard the intersection as  $P_1=P_2$ .

Express  $2|x_1y_2-x_2y_1|$  in terms of  $u$ .

(3) Let  $f(u)$  be the expression obtained in (2), evaluate  $I=\int_ a^b f(u)du.$

Answer: \frac{21\pi}{8}


Let  $1 \leq n \leq 2021$  be a positive integer. Jack has  $2021$  coins arranged in a line where each coin has an  $H$  on one side and a  $T$  on the other. At the beginning, all coins show  $H$  except the nth coin. Jack can repeatedly perform the following operation: he chooses a coin showing  $T$ , and turns over the coins next to it to the left and to the right (if any). Determine all  $n$  such that Jack can make all coins show  $T$  after a finite number of operations.

Answer: 1011


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Bob`, `Alice`
 - Everyone has a favorite smoothie: `watermelon`, `lime`, `cherry`, `dragonfruit`, `desert`
 - The people keep unique animals: `fish`, `bird`, `horse`, `cat`, `dog`
 - Each person prefers a unique type of vacation: `camping`, `beach`, `mountain`, `city`, `cruise`
 - Each person has a unique favorite drink: `root beer`, `water`, `milk`, `tea`, `coffee`

## Clues:
1. The person who keeps horses is the person who drinks Lime smoothies.
2. There is one house between the Watermelon smoothie lover and the person who likes Cherry smoothies.
3. Bob and the coffee drinker are next to each other.
4. The fish enthusiast is the one who only drinks water.
5. The bird keeper is Bob.
6. The person who enjoys mountain retreats is directly left of the root beer lover.
7. The person who loves beach vacations is somewhere to the left of the dog owner.
8. Eric is the person who likes Cherry smoothies.
9. The tea drinker is Alice.
10. The person who prefers city breaks is somewhere to the right of the person who enjoys mountain retreats.
11. Peter is somewhere to the left of the coffee drinker.
12. Eric is the person who loves beach vacations.
13. The person who enjoys mountain retreats is Alice.
14. There are two houses between the Watermelon smoothie lover and Alice.
15. The person who enjoys camping trips is not in the first house.
16. The dog owner is not in the fifth house.
17. The fish enthusiast and the Dragonfruit smoothie lover are next to each other.
 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 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`, `Arnold`, `Peter`, `Alice`
 - Each mother is accompanied by their child: `Bella`, `Fred`, `Samantha`, `Meredith`
 - The people keep unique animals: `cat`, `horse`, `fish`, `bird`
 - Each person has a unique level of education: `bachelor`, `associate`, `master`, `high school`

## Clues:
1. Arnold is not in the first house.
2. The bird keeper is not in the fourth house.
3. The person with a high school diploma is the cat lover.
4. The person's child is named Bella is the cat lover.
5. The person with a high school diploma is not in the first house.
6. Arnold is the person with a master's degree.
7. The person who keeps horses is directly left of the fish enthusiast.
8. The person with a bachelor's degree is Peter.
9. The person's child is named Fred is not in the fourth house.
10. Eric is somewhere to the right of the cat lover.
11. Eric is not in the third house.
12. The person's child is named Samantha is Arnold.
 What is the value of attribute Children for the person whose attribute House is 3? Please reason step by step, and put your final answer within \boxed{}

Answer: Samantha


There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Arnold`
 - People have unique favorite book genres: `mystery`, `science fiction`
 - Each person has a unique birthday month: `sept`, `april`
 - Each person has a favorite color: `red`, `yellow`
 - People have unique heights: `very short`, `short`

## Clues:
1. The person who is short is somewhere to the right of the person who loves yellow.
2. The person who loves science fiction books is in the second house.
3. The person whose birthday is in April is the person who loves yellow.
4. Arnold is the person who loves science fiction books.
 What is the value of attribute Birthday for the person whose attribute House is 2? Please reason step by step, and put your final answer within \boxed{}

Answer: sept


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`, `Alice`, `Arnold`
 - People have unique heights: `average`, `tall`, `very short`, `short`
 - People use unique phone models: `oneplus 9`, `samsung galaxy s21`, `google pixel 6`, `iphone 13`
 - The mothers' names in different houses are unique: `Kailyn`, `Janelle`, `Holly`, `Aniya`

## Clues:
1. The person who uses a Samsung Galaxy S21 is The person whose mother's name is Holly.
2. The person who is tall is directly left of the person who uses a Samsung Galaxy S21.
3. Alice is the person who uses a Google Pixel 6.
4. The person who uses a OnePlus 9 is in the fourth house.
5. The person whose mother's name is Janelle is not in the third house.
6. The person whose mother's name is Janelle is somewhere to the left of Eric.
7. The person whose mother's name is Aniya is somewhere to the left of Alice.
8. Eric is the person who is very short.
9. Peter is somewhere to the left of The person whose mother's name is Kailyn.
10. The person whose mother's name is Holly and the person who has an average height are next to each other.
 What is the value of attribute Mother for the person whose attribute Name is Alice? Please reason step by step, and put your final answer within \boxed{}

Answer: Janelle


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`
 - Each person has a unique type of pet: `cat`, `dog`, `bird`, `fish`
 - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Aniya`, `Kailyn`
 - Each person lives in a unique style of house: `colonial`, `ranch`, `victorian`, `craftsman`
 - People have unique favorite sports: `soccer`, `basketball`, `swimming`, `tennis`

## Clues:
1. The person who loves soccer is Alice.
2. The person whose mother's name is Kailyn is somewhere to the left of the person in a Craftsman-style house.
3. The person with an aquarium of fish and The person whose mother's name is Janelle are next to each other.
4. Alice is the person who keeps a pet bird.
5. The person who loves swimming is the person in a ranch-style home.
6. Eric is in the first house.
7. Eric is the person residing in a Victorian house.
8. Arnold is the person in a ranch-style home.
9. Arnold is not in the second house.
10. The person whose mother's name is Holly is somewhere to the left of the person who owns a dog.
11. The person whose mother's name is Janelle is in the fourth house.
12. The person whose mother's name is Kailyn is the person who loves tennis.
13. Alice is The person whose mother's name is Janelle.
 What is the value of attribute House for the person whose attribute Pet is fish? Please reason step by step, and put your final answer within \boxed{}

Answer: 3


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`, `Peter`, `Arnold`
 - Each person lives in a unique style of house: `victorian`, `colonial`, `ranch`
 - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`
 - The people keep unique animals: `cat`, `horse`, `bird`
 - The people are of nationalities: `swede`, `dane`, `brit`

## Clues:
1. The person who loves a carnations arrangement is Eric.
2. The person in a ranch-style home is Arnold.
3. The person in a ranch-style home is not in the first house.
4. The British person is in the first house.
5. The person who loves a bouquet of daffodils is Peter.
6. The Swedish person is Eric.
7. The cat lover is in the second house.
8. The person residing in a Victorian house is directly left of the person who keeps horses.
 What is the value of attribute Animal for the person whose attribute Nationality is dane? Please reason step by step, and put your final answer within \boxed{}

Answer: horse


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`, `Alice`, `Eric`, `Peter`
 - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`, `roses`
 - Everyone has a unique favorite cigar: `dunhill`, `blue master`, `pall mall`, `prince`
 - Each mother is accompanied by their child: `Meredith`, `Samantha`, `Bella`, `Fred`
 - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Holly`, `Kailyn`
 - People use unique phone models: `iphone 13`, `google pixel 6`, `oneplus 9`, `samsung galaxy s21`

## Clues:
1. The person whose mother's name is Kailyn is the Prince smoker.
2. The person whose mother's name is Holly is the person who loves a bouquet of daffodils.
3. Arnold is in the fourth house.
4. The person's child is named Bella is somewhere to the left of the person who uses a OnePlus 9.
5. The person's child is named Fred is not in the second house.
6. The person's child is named Meredith is directly left of The person whose mother's name is Janelle.
7. The person who loves a bouquet of daffodils is Eric.
8. The person who loves the boquet of lilies is the person partial to Pall Mall.
9. The person whose mother's name is Janelle is the person who loves a carnations arrangement.
10. Alice is somewhere to the right of the person's child is named Fred.
11. The person who uses an iPhone 13 is directly left of the Dunhill smoker.
12. The person who loves the rose bouquet is somewhere to the right of the Dunhill smoker.
13. The person who loves the rose bouquet is somewhere to the left of the person who uses a Google Pixel 6.
 What is the value of attribute House for the person whose attribute Mother is Kailyn? 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: `Eric`, `Alice`, `Peter`, `Arnold`, `Bob`
 - Each person has a unique type of pet: `cat`, `dog`, `bird`, `fish`, `hamster`
 - Everyone has a unique favorite cigar: `pall mall`, `blends`, `prince`, `dunhill`, `blue master`
 - Everyone has a favorite smoothie: `watermelon`, `desert`, `dragonfruit`, `cherry`, `lime`
 - People use unique phone models: `google pixel 6`, `oneplus 9`, `samsung galaxy s21`, `iphone 13`, `huawei p50`
 - People have unique favorite sports: `baseball`, `soccer`, `basketball`, `swimming`, `tennis`

## Clues:
1. The person who loves swimming is directly left of the Prince smoker.
2. The person who smokes Blue Master is somewhere to the right of Eric.
3. The person who uses a OnePlus 9 is Arnold.
4. Arnold is somewhere to the right of the person with a pet hamster.
5. The person who owns a dog is Peter.
6. Eric is the Desert smoothie lover.
7. The person who loves basketball is not in the fifth house.
8. The person who has a cat is the person who uses a Samsung Galaxy S21.
9. The person who loves baseball is directly left of Peter.
10. There is one house between the Desert smoothie lover and the Dunhill smoker.
11. The person who loves baseball and the person who uses a Google Pixel 6 are next to each other.
12. The person who keeps a pet bird is in the second house.
13. The person who uses a Huawei P50 is in the fourth house.
14. The person who drinks Lime smoothies is in the fourth house.
15. The person partial to Pall Mall is in the fifth house.
16. The Dragonfruit smoothie lover is in the second house.
17. The person who loves tennis is the person with a pet hamster.
18. Bob is somewhere to the right of the person who owns a dog.
19. The Watermelon smoothie lover is Arnold.
20. The Prince smoker is somewhere to the left of the Dunhill smoker.
 What is the value of attribute PhoneModel for the person whose attribute FavoriteSport is baseball? Please reason step by step, and put your final answer within \boxed{}

Answer: iphone 13


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`, `Arnold`, `Eric`, `Alice`
 - They all have a unique favorite flower: `daffodils`, `carnations`, `roses`, `lilies`
 - People have unique heights: `very short`, `short`, `tall`, `average`
 - The mothers' names in different houses are unique: `Janelle`, `Kailyn`, `Holly`, `Aniya`
 - Each person has an occupation: `engineer`, `doctor`, `teacher`, `artist`
 - People have unique favorite sports: `swimming`, `basketball`, `tennis`, `soccer`

## Clues:
1. The person who loves swimming is the person who loves the rose bouquet.
2. The person who loves the rose bouquet is Eric.
3. Arnold is the person who is tall.
4. The person who loves a bouquet of daffodils is somewhere to the right of the person who is an engineer.
5. The person who loves soccer is the person who is short.
6. The person who is a teacher is in the first house.
7. The person whose mother's name is Janelle is the person who loves a carnations arrangement.
8. The person who loves basketball is the person who has an average height.
9. Arnold is not in the third house.
10. The person whose mother's name is Holly is somewhere to the right of the person who has an average height.
11. Peter is the person who is a doctor.
12. The person whose mother's name is Aniya is Alice.
13. Arnold is the person who loves the boquet of lilies.
 What is the value of attribute House for the person whose attribute Height is short? Please reason step by step, and put your final answer within \boxed{}

Answer: 4


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Arnold`, `Eric`, `Peter`, `Alice`
 - Each person has a unique favorite drink: `milk`, `root beer`, `coffee`, `tea`, `water`
 - Everyone has a favorite smoothie: `dragonfruit`, `lime`, `desert`, `cherry`, `watermelon`
 - Everyone has a unique favorite cigar: `prince`, `pall mall`, `dunhill`, `blends`, `blue master`
 - Each person has a favorite color: `red`, `yellow`, `green`, `blue`, `white`
 - People have unique favorite music genres: `pop`, `rock`, `jazz`, `classical`, `hip hop`

## Clues:
1. The coffee drinker is the person who likes Cherry smoothies.
2. The Watermelon smoothie lover is the person who loves rock music.
3. The person who loves yellow is the person who loves hip-hop music.
4. Eric is somewhere to the right of the person who loves classical music.
5. The one who only drinks water is the Prince smoker.
6. The person who smokes Blue Master is Eric.
7. The Dunhill smoker is Alice.
8. The root beer lover is the person whose favorite color is red.
9. The Dunhill smoker is somewhere to the left of the Prince smoker.
10. The Dragonfruit smoothie lover is directly left of the person who likes Cherry smoothies.
11. Arnold is the person whose favorite color is green.
12. Eric is the tea drinker.
13. The Dunhill smoker is the person who loves white.
14. The person who loves classical music and the person who drinks Lime smoothies are next to each other.
15. The person who drinks Lime smoothies is Eric.
16. The person who loves rock music is directly left of the root beer lover.
17. The person who loves pop music is the root beer lover.
18. The person whose favorite color is green is not in the third house.
19. The one who only drinks water is the person who loves blue.
20. The person who loves rock music is the person who loves white.
21. Peter is not in the third house.
22. The person who likes Cherry smoothies is somewhere to the right of the person partial to Pall Mall.
 What is the value of attribute Name for the person whose attribute House is 2? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


There are 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`, `Arnold`, `Eric`, `Carol`, `Alice`, `Peter`
 - Each person lives in a unique style of house: `modern`, `craftsman`, `colonial`, `mediterranean`, `victorian`, `ranch`
 - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`, `dragonfruit`, `blueberry`, `lime`
 - Each person has an occupation: `doctor`, `nurse`, `artist`, `lawyer`, `engineer`, `teacher`
 - Each person has a unique birthday month: `jan`, `sept`, `feb`, `mar`, `april`, `may`

## Clues:
1. There is one house between the person whose birthday is in September and the person who is a doctor.
2. Alice is the person living in a colonial-style house.
3. The Desert smoothie lover is the person whose birthday is in September.
4. Bob is the person who drinks Lime smoothies.
5. Alice and the person who is an artist are next to each other.
6. Carol is the person in a modern-style house.
7. The person residing in a Victorian house and the Dragonfruit smoothie lover are next to each other.
8. The person who is a nurse and the person whose birthday is in September are next to each other.
9. The person whose birthday is in January is the person who drinks Lime smoothies.
10. The person whose birthday is in March is somewhere to the right of the Watermelon smoothie lover.
11. The person in a modern-style house is somewhere to the right of the person whose birthday is in September.
12. The person whose birthday is in February is not in the second house.
13. The person whose birthday is in September is directly left of the person who is a teacher.
14. The person who is an artist is in the sixth house.
15. The person who likes Cherry smoothies is Arnold.
16. The person who is an engineer is somewhere to the left of the person who is a nurse.
17. Eric and the person who is a teacher are next to each other.
18. The person who is a teacher is the person whose birthday is in April.
19. The person whose birthday is in February and the person in a Mediterranean-style villa are next to each other.
20. The person in a ranch-style home is the person who is a teacher.
 What is the value of attribute Birthday for the person whose attribute Occupation is engineer? Please reason step by step, and put your final answer within \boxed{}

Answer: feb


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Bob`, `Carol`, `Arnold`
 - Everyone has a unique favorite cigar: `dunhill`, `blends`, `blue master`, `yellow monster`, `pall mall`, `prince`
 - People have unique favorite book genres: `fantasy`, `romance`, `science fiction`, `mystery`, `historical fiction`, `biography`

## Clues:
1. The person partial to Pall Mall is Alice.
2. The Prince smoker is not in the sixth house.
3. Carol is directly left of the person who loves fantasy books.
4. The Prince smoker is not in the fifth house.
5. Peter is in the first house.
6. The person partial to Pall Mall is directly left of the Dunhill smoker.
7. The person partial to Pall Mall is in the second house.
8. Carol is the person who loves mystery books.
9. Bob is not in the fourth house.
10. The person who smokes Yellow Monster is not in the sixth house.
11. The person who loves biography books is not in the third house.
12. The person who loves historical fiction books is in the first house.
13. The person who smokes many unique blends is not in the fifth house.
14. The person who loves romance books is somewhere to the right of Eric.
15. There is one house between Arnold and the person who smokes Yellow Monster.
16. There is one house between the person who smokes many unique blends and Bob.
 What is the value of attribute BookGenre for the person whose attribute Cigar is blends? Please reason step by step, and put your final answer within \boxed{}

Answer: mystery


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Eric`
 - Each person has a unique type of pet: `bird`, `fish`, `dog`, `cat`
 - Each person lives in a unique style of house: `colonial`, `craftsman`, `ranch`, `victorian`
 - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Kailyn`, `Aniya`
 - Each mother is accompanied by their child: `Fred`, `Samantha`, `Meredith`, `Bella`

## Clues:
1. The person whose mother's name is Kailyn is in the second house.
2. The person living in a colonial-style house is the person's child is named Meredith.
3. There is one house between the person's child is named Samantha and The person whose mother's name is Janelle.
4. The person in a ranch-style home is the person's child is named Fred.
5. Eric is the person's child is named Bella.
6. The person whose mother's name is Janelle is the person with an aquarium of fish.
7. Arnold is the person in a Craftsman-style house.
8. The person who keeps a pet bird and the person with an aquarium of fish are next to each other.
9. The person whose mother's name is Holly is directly left of Peter.
10. The person who has a cat is the person living in a colonial-style house.
11. The person's child is named Fred is somewhere to the left of The person whose mother's name is Janelle.
 What is the value of attribute Mother for the person whose attribute Name is Arnold? Please reason step by step, and put your final answer within \boxed{}

Answer: Holly


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Arnold`, `Peter`, `Eric`, `Alice`
 - Each person has a unique birthday month: `sept`, `mar`, `april`, `feb`, `jan`
 - People have unique favorite sports: `baseball`, `basketball`, `soccer`, `tennis`, `swimming`
 - Each person has a favorite color: `white`, `red`, `yellow`, `blue`, `green`
 - Each person has an occupation: `doctor`, `teacher`, `lawyer`, `artist`, `engineer`
 - The mothers' names in different houses are unique: `Kailyn`, `Holly`, `Aniya`, `Penny`, `Janelle`

## Clues:
1. There is one house between the person who is a doctor and the person whose birthday is in March.
2. The person whose mother's name is Penny is not in the fourth house.
3. The person who loves baseball is somewhere to the right of the person who is a doctor.
4. The person who loves soccer is Peter.
5. There is one house between Bob and The person whose mother's name is Kailyn.
6. The person who loves yellow is in the third house.
7. The person who loves yellow is The person whose mother's name is Kailyn.
8. The person who loves swimming is the person who loves white.
9. Alice is in the fourth house.
10. The person whose birthday is in February is The person whose mother's name is Holly.
11. The person who loves baseball is the person whose birthday is in January.
12. The person who loves white is the person whose birthday is in April.
13. The person whose mother's name is Aniya is the person who loves swimming.
14. Alice is the person who loves baseball.
15. The person who is a doctor and the person who is a lawyer are next to each other.
16. The person whose birthday is in April is somewhere to the left of the person whose favorite color is red.
17. The person who loves tennis is somewhere to the right of the person who is a teacher.
18. The person whose favorite color is green is in the second house.
19. Arnold is the person whose birthday is in February.
20. The person whose birthday is in February is the person who is an artist.
21. The person who loves blue is not in the fifth house.
22. The person who loves tennis is not in the fifth house.
23. The person whose mother's name is Holly is the person who loves basketball.
 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: `Carol`, `Arnold`, `Bob`, `Alice`, `Eric`, `Peter`
 - They all have a unique favorite flower: `carnations`, `tulips`, `lilies`, `roses`, `daffodils`, `iris`
 - People have unique favorite book genres: `science fiction`, `fantasy`, `romance`, `mystery`, `biography`, `historical fiction`
 - People use unique phone models: `huawei p50`, `oneplus 9`, `iphone 13`, `xiaomi mi 11`, `samsung galaxy s21`, `google pixel 6`
 - People have unique hair colors: `black`, `gray`, `red`, `auburn`, `blonde`, `brown`
 - Each person has a favorite color: `yellow`, `green`, `red`, `white`, `blue`, `purple`

## Clues:
1. There is one house between the person who has gray hair and the person who uses an iPhone 13.
2. The person who loves the rose bouquet is the person who has blonde hair.
3. There is one house between the person who has gray hair and the person who loves yellow.
4. Carol is somewhere to the right of the person who loves a bouquet of daffodils.
5. The person who loves white is somewhere to the left of Peter.
6. The person who loves white is somewhere to the left of the person who loves science fiction books.
7. Arnold is directly left of the person who loves historical fiction books.
8. The person who uses a Huawei P50 is the person who loves a bouquet of daffodils.
9. The person who loves purple is somewhere to the left of the person who loves fantasy books.
10. Eric is the person who loves science fiction books.
11. The person who loves a bouquet of daffodils is the person who has auburn hair.
12. Alice is the person whose favorite color is green.
13. The person who loves fantasy books is in the second house.
14. The person who uses a Samsung Galaxy S21 is Carol.
15. The person who uses a Xiaomi Mi 11 is not in the fourth house.
16. Eric is the person who has auburn hair.
17. The person who loves the rose bouquet is somewhere to the left of the person who has red hair.
18. The person who loves historical fiction books is the person who loves the rose bouquet.
19. The person who uses a Xiaomi Mi 11 is somewhere to the right of the person who loves white.
20. The person who has black hair is in the fourth house.
21. The person whose favorite color is red is the person who loves mystery books.
22. The person who loves historical fiction books and the person who loves the vase of tulips are next to each other.
23. The person who has brown hair is the person who uses a OnePlus 9.
24. The person who loves romance books is somewhere to the left of the person who loves fantasy books.
25. The person who loves the boquet of lilies is in the second house.
26. The person who loves the boquet of iris is somewhere to the right of the person whose favorite color is green.
 What is the value of attribute House for the person whose attribute Color is blue? 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`, `Eric`, `Peter`, `Bob`, `Arnold`
 - People have unique favorite sports: `soccer`, `baseball`, `swimming`, `tennis`, `basketball`
 - Each person lives in a unique style of house: `modern`, `victorian`, `colonial`, `craftsman`, `ranch`
 - Each person prefers a unique type of vacation: `beach`, `city`, `cruise`, `mountain`, `camping`
 - Each person has an occupation: `artist`, `engineer`, `lawyer`, `doctor`, `teacher`
 - The mothers' names in different houses are unique: `Penny`, `Aniya`, `Janelle`, `Holly`, `Kailyn`

## Clues:
1. There is one house between The person whose mother's name is Janelle and Eric.
2. Arnold is not in the fifth house.
3. The person whose mother's name is Janelle is Peter.
4. The person who enjoys mountain retreats is The person whose mother's name is Holly.
5. The person whose mother's name is Aniya is the person in a modern-style house.
6. The person who likes going on cruises is The person whose mother's name is Kailyn.
7. The person who prefers city breaks is the person living in a colonial-style house.
8. The person who loves soccer is The person whose mother's name is Holly.
9. The person who is an artist is Eric.
10. The person who is a doctor is in the second house.
11. The person who is a teacher is somewhere to the left of the person in a modern-style house.
12. The person whose mother's name is Penny is not in the second house.
13. The person in a ranch-style home is in the third house.
14. The person who loves swimming is The person whose mother's name is Kailyn.
15. Arnold is not in the third house.
16. The person who loves swimming is in the fourth house.
17. The person who loves baseball and the person who prefers city breaks are next to each other.
18. The person who loves basketball is somewhere to the left of the person who loves soccer.
19. Bob is somewhere to the left of the person in a modern-style house.
20. The person who enjoys camping trips is in the fifth house.
21. The person in a Craftsman-style house is the person who is an engineer.
22. There are two houses between the person living in a colonial-style house and the person in a modern-style house.
 What is the value of attribute House for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: 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: `Peter`, `Arnold`, `Eric`, `Alice`
 - They all have a unique favorite flower: `daffodils`, `carnations`, `roses`, `lilies`
 - People have unique heights: `very short`, `short`, `tall`, `average`
 - The mothers' names in different houses are unique: `Janelle`, `Kailyn`, `Holly`, `Aniya`
 - Each person has an occupation: `engineer`, `doctor`, `teacher`, `artist`
 - People have unique favorite sports: `swimming`, `basketball`, `tennis`, `soccer`

## Clues:
1. The person who loves swimming is the person who loves the rose bouquet.
2. The person who loves the rose bouquet is Eric.
3. Arnold is the person who is tall.
4. The person who loves a bouquet of daffodils is somewhere to the right of the person who is an engineer.
5. The person who loves soccer is the person who is short.
6. The person who is a teacher is in the first house.
7. The person whose mother's name is Janelle is the person who loves a carnations arrangement.
8. The person who loves basketball is the person who has an average height.
9. Arnold is not in the third house.
10. The person whose mother's name is Holly is somewhere to the right of the person who has an average height.
11. Peter is the person who is a doctor.
12. The person whose mother's name is Aniya is Alice.
13. Arnold is the person who loves the boquet of lilies.
 What is the value of attribute FavoriteSport for the person whose attribute Occupation is teacher? Please reason step by step, and put your final answer within \boxed{}

Answer: tennis


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 favorite music genres: `jazz`, `rock`, `pop`, `classical`
 - Each person has a unique hobby: `cooking`, `painting`, `gardening`, `photography`
 - Everyone has something unique for lunch: `stew`, `pizza`, `grilled cheese`, `spaghetti`

## Clues:
1. The person who is a pizza lover is somewhere to the left of the person who loves eating grilled cheese.
2. Arnold is not in the first house.
3. Peter is directly left of the person who enjoys gardening.
4. The person who loves eating grilled cheese and Peter are next to each other.
5. There are two houses between the person who loves jazz music and Arnold.
6. The person who loves cooking is the person who loves rock music.
7. The person who loves pop music is the person who paints as a hobby.
8. The person who paints as a hobby is Alice.
9. The person who enjoys gardening is the person who loves the spaghetti eater.
 What is the value of attribute Hobby for the person whose attribute Food is grilled cheese? Please reason step by step, and put your final answer within \boxed{}

Answer: painting


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Eric`, `Bob`, `Peter`, `Carol`, `Alice`
 - Each mother is accompanied by their child: `Fred`, `Bella`, `Timothy`, `Meredith`, `Samantha`, `Alice`
 - Everyone has something unique for lunch: `pizza`, `stir fry`, `grilled cheese`, `spaghetti`, `soup`, `stew`
 - Each person has a unique type of pet: `rabbit`, `fish`, `cat`, `dog`, `bird`, `hamster`
 - Each person has a unique birthday month: `may`, `sept`, `mar`, `jan`, `april`, `feb`
 - Each person has a unique favorite drink: `water`, `milk`, `coffee`, `tea`, `boba tea`, `root beer`

## Clues:
1. The person whose birthday is in May is the person who loves the spaghetti eater.
2. The person's child is named Fred is the person who loves the stew.
3. The person who likes milk is the person with a pet hamster.
4. There is one house between the person who loves the spaghetti eater and the person who has a cat.
5. The person who is the mother of Timothy is Bob.
6. The person whose birthday is in January is directly left of the one who only drinks water.
7. Carol is the coffee drinker.
8. Peter is not in the fifth house.
9. The person whose birthday is in April is the person's child is named Alice.
10. The person who loves eating grilled cheese is somewhere to the right of the person whose birthday is in September.
11. The person's child is named Bella and Bob are next to each other.
12. The person who owns a rabbit is Peter.
13. The person who keeps a pet bird is the person who loves the soup.
14. The person who owns a rabbit is somewhere to the right of the person who loves stir fry.
15. The person who loves eating grilled cheese is somewhere to the left of the person who owns a rabbit.
16. The person whose birthday is in March is the tea drinker.
17. Peter is the person's child is named Bella.
18. The person who is the mother of Timothy is somewhere to the right of the person's child is named Bella.
19. The person with an aquarium of fish and the person's child is named Bella are next to each other.
20. The one who only drinks water is the person's child is named Fred.
21. The person whose birthday is in May is somewhere to the right of the person with an aquarium of fish.
22. The person with a pet hamster is the person's child is named Meredith.
23. The root beer lover is the person who loves the spaghetti eater.
24. Carol is directly left of Alice.
25. Eric is in the third house.
26. The person who is a pizza lover is Bob.
 What is the value of attribute Food for the person whose attribute House is 3? Please reason step by step, and put your final answer within \boxed{}

Answer: grilled cheese


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`, `Carol`, `Bob`, `Peter`, `Arnold`, `Alice`
 - Everyone has something unique for lunch: `stew`, `stir fry`, `soup`, `grilled cheese`, `pizza`, `spaghetti`
 - Each person has a unique favorite drink: `root beer`, `milk`, `boba tea`, `water`, `coffee`, `tea`
 - People have unique heights: `super tall`, `short`, `tall`, `very short`, `very tall`, `average`
 - Each person has a unique birthday month: `sept`, `feb`, `may`, `mar`, `jan`, `april`

## Clues:
1. The person whose birthday is in January is Peter.
2. The person who loves eating grilled cheese is the person whose birthday is in May.
3. The person whose birthday is in April is the person who loves stir fry.
4. The person who loves the stew is the one who only drinks water.
5. The person whose birthday is in September is not in the fourth house.
6. The person who likes milk is somewhere to the left of the person who loves stir fry.
7. The coffee drinker is in the fifth house.
8. The person who loves eating grilled cheese is directly left of the one who only drinks water.
9. The person whose birthday is in May is directly left of Arnold.
10. The root beer lover is somewhere to the left of Alice.
11. There are two houses between Eric and the person who is a pizza lover.
12. The person who loves the spaghetti eater is the person who is very short.
13. The person who is super tall is the tea drinker.
14. The person who is tall is not in the third house.
15. Peter is directly left of the person who is a pizza lover.
16. The person who likes milk is somewhere to the right of the one who only drinks water.
17. The person who is very short is the coffee drinker.
18. The person who is super tall is Bob.
19. The person who is super tall and the person whose birthday is in March are next to each other.
20. Carol is somewhere to the left of the person who has an average height.
21. The person who is very tall is the person who loves the stew.
22. There is one house between the person who loves eating grilled cheese and Peter.
 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: 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`, `Bob`, `Eric`, `Arnold`
 - The people are of nationalities: `dane`, `swede`, `norwegian`, `brit`, `german`
 - Everyone has a favorite smoothie: `desert`, `cherry`, `watermelon`, `dragonfruit`, `lime`
 - They all have a unique favorite flower: `tulips`, `roses`, `daffodils`, `carnations`, `lilies`
 - Each person lives in a unique style of house: `ranch`, `modern`, `victorian`, `colonial`, `craftsman`
 - The people keep unique animals: `dog`, `horse`, `bird`, `fish`, `cat`

## Clues:
1. The person living in a colonial-style house is Peter.
2. The person who keeps horses is the person who drinks Lime smoothies.
3. Alice is the British person.
4. The Swedish person is in the first house.
5. The person who keeps horses and the dog owner are next to each other.
6. There is one house between the person in a Craftsman-style house and the Dane.
7. The person who loves the boquet of lilies is directly left of the fish enthusiast.
8. The person who loves the boquet of lilies is the person in a modern-style house.
9. The Desert smoothie lover is in the first house.
10. The person residing in a Victorian house is somewhere to the right of the Watermelon smoothie lover.
11. The person who loves a bouquet of daffodils is Alice.
12. The Dragonfruit smoothie lover is not in the third house.
13. The person who loves a carnations arrangement is the German.
14. The Dragonfruit smoothie lover is Eric.
15. Bob is somewhere to the right of the person who loves the rose bouquet.
16. The Watermelon smoothie lover is the Norwegian.
17. Bob is the person in a modern-style house.
18. The person residing in a Victorian house is not in the fifth house.
19. The person who loves a carnations arrangement is somewhere to the left of the person in a modern-style house.
20. The Desert smoothie lover is the bird keeper.
 What is the value of attribute 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 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`, `Peter`, `Eric`
 - Each person prefers a unique type of vacation: `cruise`, `mountain`, `city`, `beach`
 - Each person has a unique favorite drink: `tea`, `coffee`, `milk`, `water`
 - The people are of nationalities: `brit`, `swede`, `dane`, `norwegian`

## Clues:
1. The person who prefers city breaks is the Swedish person.
2. The person who likes going on cruises is directly left of the person who loves beach vacations.
3. Arnold is in the second house.
4. Arnold is the person who likes milk.
5. The person who prefers city breaks is not in the fourth house.
6. The coffee drinker is the Norwegian.
7. The person who loves beach vacations and Peter are next to each other.
8. Eric is the one who only drinks water.
9. The person who loves beach vacations is directly left of the Dane.
 What is the value of attribute Nationality for the person whose attribute House is 3? Please reason step by step, and put your final answer within \boxed{}

Answer: norwegian


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`, `Alice`, `Eric`, `Peter`
 - Each person has a unique level of education: `master`, `bachelor`, `high school`, `associate`
 - People have unique heights: `short`, `average`, `tall`, `very short`
 - Each person has a unique favorite drink: `water`, `coffee`, `tea`, `milk`

## Clues:
1. The person who likes milk is somewhere to the left of the person with a bachelor's degree.
2. The person who likes milk and the person with a bachelor's degree are next to each other.
3. Alice is the person who is tall.
4. Peter is not in the second house.
5. Arnold is in the first house.
6. The person who has an average height is not in the second house.
7. Arnold is directly left of the person with a master's degree.
8. The coffee drinker is the person who is short.
9. There is one house between the person with a master's degree and the person with a high school diploma.
10. The one who only drinks water is directly left of Alice.
11. The person who is short is somewhere to the left of the person who is tall.
 What is the value of attribute Height for the person whose attribute Drink is milk? Please reason step by step, and put your final answer within \boxed{}

Answer: very short


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`
 - They all have a unique favorite flower: `lilies`, `carnations`, `roses`, `daffodils`
 - Each person has a favorite color: `white`, `green`, `yellow`, `red`
 - Each person has a unique level of education: `bachelor`, `associate`, `master`, `high school`
 - Each person has a unique hobby: `painting`, `photography`, `gardening`, `cooking`
 - Everyone has a unique favorite cigar: `dunhill`, `blue master`, `prince`, `pall mall`

## Clues:
1. The person partial to Pall Mall is the person with an associate's degree.
2. The person who loves white is the Prince smoker.
3. The person with a high school diploma is not in the fourth house.
4. The person with a master's degree is not in the second house.
5. Arnold is not in the fourth house.
6. The person whose favorite color is red is not in the third house.
7. The person whose favorite color is red is somewhere to the left of Eric.
8. The person who loves cooking is somewhere to the right of Peter.
9. The person who loves a bouquet of daffodils is somewhere to the left of the person who paints as a hobby.
10. The person who loves white is the person who loves the boquet of lilies.
11. Alice is the photography enthusiast.
12. Arnold is somewhere to the right of the person partial to Pall Mall.
13. The person who loves white is in the second house.
14. The person whose favorite color is green is directly left of the person who enjoys gardening.
15. The Dunhill smoker is the person with a high school diploma.
16. The person who loves the rose bouquet is somewhere to the right of the person whose favorite color is green.
 What is the value of attribute House for the person whose attribute Hobby is photography? 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: `Eric`, `Peter`, `Arnold`, `Alice`
 - Each person prefers a unique type of vacation: `mountain`, `beach`, `cruise`, `city`
 - Each person has a favorite color: `red`, `white`, `yellow`, `green`

## Clues:
1. The person who loves beach vacations is the person who loves yellow.
2. Alice is the person who loves white.
3. The person whose favorite color is green is somewhere to the right of the person who likes going on cruises.
4. The person whose favorite color is red is somewhere to the right of the person whose favorite color is green.
5. Arnold is the person whose favorite color is red.
6. There are two houses between Eric and the person who prefers city breaks.
 What is the value of attribute Vacation for the person whose attribute House is 3? Please reason step by step, and put your final answer within \boxed{}

Answer: mountain


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`, `Arnold`, `Alice`, `Peter`
 - People have unique favorite sports: `swimming`, `soccer`, `tennis`, `basketball`
 - Each person has a unique type of pet: `bird`, `fish`, `cat`, `dog`
 - Everyone has a favorite smoothie: `dragonfruit`, `desert`, `watermelon`, `cherry`
 - People have unique hair colors: `brown`, `black`, `blonde`, `red`
 - Each person has a unique birthday month: `jan`, `feb`, `sept`, `april`

## Clues:
1. The person whose birthday is in September is the person who likes Cherry smoothies.
2. The person whose birthday is in February is not in the first house.
3. The Desert smoothie lover is the person who loves basketball.
4. Peter is the person who has black hair.
5. The person who loves tennis is somewhere to the right of the person who has a cat.
6. The person with an aquarium of fish is not in the fourth house.
7. Arnold is directly left of the person who has blonde hair.
8. There is one house between the person who has red hair and the person whose birthday is in January.
9. The person whose birthday is in September is directly left of the person who loves soccer.
10. Peter is directly left of the person who loves basketball.
11. The person who has blonde hair is the person whose birthday is in September.
12. Arnold is the person who keeps a pet bird.
13. The person whose birthday is in January is the Watermelon smoothie lover.
14. The person who has blonde hair is Eric.
 What is the value of attribute Birthday for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: sept


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 have unique heights: `average`, `tall`, `short`, `very short`, `very tall`
 - Each person has a unique hobby: `cooking`, `knitting`, `photography`, `gardening`, `painting`
 - Each person prefers a unique type of vacation: `cruise`, `city`, `mountain`, `beach`, `camping`
 - People own unique car models: `ford f150`, `toyota camry`, `tesla model 3`, `honda civic`, `bmw 3 series`
 - Each person has a unique level of education: `bachelor`, `doctorate`, `master`, `high school`, `associate`

## Clues:
1. The person who is short is directly left of the person with a high school diploma.
2. The person who enjoys mountain retreats is the person who paints as a hobby.
3. The person who loves cooking is the person with a doctorate.
4. The person who owns a Honda Civic is in the third house.
5. The person who owns a Honda Civic is the person who has an average height.
6. Bob is the person who paints as a hobby.
7. The person with a master's degree is Eric.
8. The person who enjoys knitting is directly left of the person with a high school diploma.
9. The person who owns a Toyota Camry and the person who enjoys camping trips are next to each other.
10. Peter is not in the fifth house.
11. The person who prefers city breaks is the person who owns a BMW 3 Series.
12. The person who owns a Honda Civic is Eric.
13. The person who paints as a hobby is the person with a bachelor's degree.
14. Arnold is not in the second house.
15. The person who owns a Ford F-150 is not in the second house.
16. The person who enjoys gardening is the person who likes going on cruises.
17. The person who loves beach vacations is the person who is very short.
18. The person who owns a BMW 3 Series is not in the first house.
19. The person who owns a Toyota Camry is directly left of the person who is tall.
20. Arnold is not in the fifth house.
 What is the value of attribute House for the person whose attribute Vacation is cruise? Please reason step by step, and put your final answer within \boxed{}

Answer: 3


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

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

Answer: 3


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`, `Alice`, `Peter`
 - Each person prefers a unique type of vacation: `mountain`, `camping`, `beach`, `cultural`, `city`, `cruise`
 - Everyone has something unique for lunch: `spaghetti`, `soup`, `stir fry`, `stew`, `grilled cheese`, `pizza`
 - Each person has a unique favorite drink: `boba tea`, `root beer`, `water`, `milk`, `coffee`, `tea`
 - People have unique heights: `tall`, `average`, `very tall`, `short`, `very short`, `super tall`

## Clues:
1. The person who enjoys mountain retreats and the person who prefers city breaks are next to each other.
2. Alice is in the fourth house.
3. The coffee drinker is the person who is a pizza lover.
4. The person who is very tall is directly left of the person who enjoys mountain retreats.
5. Peter is not in the first house.
6. The boba tea drinker is in the fourth house.
7. The person who loves stir fry is somewhere to the left of Eric.
8. The person who likes milk is Bob.
9. The person who loves the soup is not in the second house.
10. The person who loves the spaghetti eater is not in the second house.
11. The person who loves the stew is Eric.
12. The root beer lover is the person who is short.
13. The person who loves beach vacations is in the first house.
14. The person who loves stir fry is the person who enjoys mountain retreats.
15. The person who loves the soup is somewhere to the left of the person who loves the spaghetti eater.
16. The boba tea drinker is somewhere to the left of the person who is a pizza lover.
17. Arnold is the person who likes going on cruises.
18. The person who is very short is somewhere to the right of the person who has an average height.
19. The person who is tall is not in the fourth house.
20. The person who prefers city breaks is the coffee drinker.
21. Bob and the one who only drinks water are next to each other.
22. The person who loves the stew is the person who enjoys camping trips.
23. Arnold is the person who is very short.
24. Carol is in the fifth house.
 What is the value of attribute House for the person whose attribute Vacation is camping? 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: `Eric`, `Arnold`, `Alice`, `Peter`, `Bob`
 - The people are of nationalities: `german`, `norwegian`, `brit`, `dane`, `swede`
 - People have unique favorite sports: `swimming`, `soccer`, `baseball`, `basketball`, `tennis`
 - People have unique hair colors: `blonde`, `brown`, `red`, `black`, `gray`

## Clues:
1. Arnold is the person who loves baseball.
2. The Swedish person is somewhere to the left of Arnold.
3. There are two houses between the person who loves basketball and the person who has black hair.
4. The Norwegian is in the fourth house.
5. Peter is the person who has black hair.
6. The person who has red hair is in the second house.
7. Bob is the German.
8. The person who has blonde hair is not in the third house.
9. The person who loves swimming is the person who has red hair.
10. The German is not in the first house.
11. The person who loves basketball is directly left of the Dane.
12. The person who loves soccer is directly left of Arnold.
13. Alice is the person who has gray hair.
 What is the value of attribute House for the person whose attribute FavoriteSport is swimming? Please reason step by step, and put your final answer within \boxed{}

Answer: 2