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

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

Answer: green


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Arnold`, `Peter`, `Alice`, `Carol`, `Bob`
 - People have unique favorite book genres: `mystery`, `biography`, `science fiction`, `romance`, `fantasy`, `historical fiction`
 - Each person has a unique favorite drink: `water`, `milk`, `boba tea`, `coffee`, `tea`, `root beer`
 - People have unique hair colors: `blonde`, `red`, `gray`, `black`, `auburn`, `brown`
 - Each person has a unique birthday month: `may`, `mar`, `sept`, `jan`, `april`, `feb`

## Clues:
1. The person who likes milk is the person who has gray hair.
2. Alice is somewhere to the right of the person who has auburn hair.
3. The person whose birthday is in September is not in the sixth house.
4. The tea drinker is somewhere to the left of the person who has auburn hair.
5. Carol is the person who loves biography books.
6. The person who likes milk is in the fourth house.
7. The person who has auburn hair is directly left of Eric.
8. The boba tea drinker is the person who has brown hair.
9. The person whose birthday is in February is the person who has gray hair.
10. Carol is the person who has blonde hair.
11. The person who loves fantasy books is somewhere to the left of Bob.
12. The person who has blonde hair is the person whose birthday is in April.
13. Peter is the coffee drinker.
14. The person who loves historical fiction books is somewhere to the right of the person who loves science fiction books.
15. The person who loves science fiction books is Bob.
16. The root beer lover is not in the first house.
17. There is one house between the person whose birthday is in May and Peter.
18. The person who has black hair is in the second house.
19. The person whose birthday is in February is the person who loves historical fiction books.
20. Arnold is the person whose birthday is in March.
21. The root beer lover is somewhere to the left of the person whose birthday is in May.
22. The person who loves mystery books is in the sixth house.
 What is the value of attribute Birthday for the person whose attribute House is 5? 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`, `Arnold`, `Bob`, `Peter`, `Alice`
 - Everyone has something unique for lunch: `spaghetti`, `stew`, `grilled cheese`, `stir fry`, `pizza`
 - Each person has a favorite color: `red`, `green`, `white`, `blue`, `yellow`

## Clues:
1. The person who loves blue is somewhere to the left of the person who is a pizza lover.
2. Bob is somewhere to the left of the person who loves white.
3. Alice is directly left of the person who loves the stew.
4. The person who loves stir fry is in the fourth house.
5. The person who loves white is Peter.
6. The person who loves the spaghetti eater is Bob.
7. The person whose favorite color is green is Alice.
8. The person who loves blue is in the third house.
9. The person who loves yellow is somewhere to the right of the person who loves stir fry.
10. Alice is in the first house.
11. The person who loves yellow is Arnold.
 What is the value of attribute Color for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: red


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`, `Peter`, `Carol`, `Alice`, `Bob`, `Eric`
 - Each mother is accompanied by their child: `Alice`, `Timothy`, `Bella`, `Meredith`, `Fred`, `Samantha`
 - Everyone has a favorite smoothie: `desert`, `cherry`, `watermelon`, `blueberry`, `lime`, `dragonfruit`

## Clues:
1. The person's child is named Fred and the Desert smoothie lover are next to each other.
2. The person who drinks Blueberry smoothies is somewhere to the left of the person's child is named Fred.
3. Alice is not in the fifth house.
4. The person's child is named Samantha is not in the second house.
5. The Watermelon smoothie lover is somewhere to the right of the person who likes Cherry smoothies.
6. Alice is the person's child is named Alice.
7. Alice is the Watermelon smoothie lover.
8. Peter is somewhere to the right of the person's child is named Samantha.
9. Arnold is not in the second house.
10. Bob is the person who is the mother of Timothy.
11. Arnold is directly left of Carol.
12. The person who likes Cherry smoothies is directly left of the person's child is named Samantha.
13. The person's child is named Meredith is in the sixth house.
14. The Dragonfruit smoothie lover is the person's child is named Meredith.
 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: 6


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Bob`, `Peter`, `Eric`, `Alice`, `Carol`
 - Each person has a unique birthday month: `april`, `feb`, `mar`, `jan`, `may`, `sept`
 - Each person prefers a unique type of vacation: `city`, `beach`, `mountain`, `cruise`, `cultural`, `camping`
 - Each person has a favorite color: `blue`, `white`, `green`, `purple`, `red`, `yellow`

## Clues:
1. The person whose birthday is in January is the person who loves blue.
2. The person whose birthday is in January is directly left of the person who loves white.
3. The person who enjoys camping trips is in the fourth house.
4. Eric is in the sixth house.
5. There are two houses between the person who likes going on cruises and the person whose birthday is in February.
6. The person whose birthday is in May is not in the sixth house.
7. Peter is directly left of the person who loves yellow.
8. The person who goes on cultural tours is Eric.
9. The person whose birthday is in September is directly left of the person whose favorite color is green.
10. Arnold and the person who loves purple are next to each other.
11. The person who loves beach vacations is the person whose birthday is in March.
12. The person whose favorite color is green is somewhere to the left of Carol.
13. The person whose birthday is in May is somewhere to the right of Peter.
14. The person who loves blue is Bob.
15. The person who enjoys mountain retreats is in the fifth house.
16. The person who loves purple is in the third house.
17. Carol is in the fourth house.
 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: mar


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Eric`, `Peter`, `Alice`, `Arnold`
 - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`, `stew`, `stir fry`
 - The people keep unique animals: `bird`, `horse`, `cat`, `fish`, `dog`
 - Each person has a unique level of education: `master`, `doctorate`, `high school`, `associate`, `bachelor`

## Clues:
1. Alice is not in the fifth house.
2. The person who is a pizza lover is somewhere to the right of Peter.
3. Peter is in the first house.
4. The person with a bachelor's degree is the person who is a pizza lover.
5. The cat lover is the person with a master's degree.
6. The person who loves stir fry is the person with a doctorate.
7. The person with a high school diploma is directly left of the person with a master's degree.
8. The dog owner is the person who loves stir fry.
9. There is one house between Arnold and the person with an associate's degree.
10. The person who loves eating grilled cheese is the fish enthusiast.
11. Arnold is in the second house.
12. The person who keeps horses is Arnold.
13. Eric is directly left of the person with an associate's degree.
14. The person who loves the spaghetti eater is the cat lover.
 What is the value of attribute House for the person whose attribute Animal is cat? 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: `Arnold`, `Peter`, `Eric`
 - The people keep unique animals: `bird`, `horse`, `cat`
 - Each person has a unique birthday month: `jan`, `sept`, `april`
 - Each person has a unique hobby: `photography`, `cooking`, `gardening`
 - Each person has a unique favorite drink: `milk`, `water`, `tea`
 - People have unique hair colors: `black`, `brown`, `blonde`

## Clues:
1. The person who has brown hair is the person who loves cooking.
2. The person whose birthday is in April is in the third house.
3. Eric is not in the first house.
4. The cat lover is in the second house.
5. The person who has blonde hair is somewhere to the left of the person who likes milk.
6. The person who enjoys gardening is the person who likes milk.
7. The cat lover is the person who has brown hair.
8. Arnold is the bird keeper.
9. The one who only drinks water is the photography enthusiast.
10. The person whose birthday is in September is directly left of Arnold.
 What is the value of attribute House for the person whose attribute Animal is horse? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


There are 2 houses, numbered 1 to 2 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Eric`
 - Each person has a unique level of education: `associate`, `high school`
 - Each person has an occupation: `engineer`, `doctor`
 - Each person has a unique birthday month: `sept`, `april`
 - Each person has a favorite color: `yellow`, `red`

## Clues:
1. The person who is a doctor and the person whose birthday is in September are next to each other.
2. The person who is a doctor is the person whose favorite color is red.
3. The person who loves yellow is the person with a high school diploma.
4. The person whose birthday is in September is not in the first house.
5. Eric is the person with an associate's degree.
 What is the value of attribute Birthday for the person whose attribute Color is yellow? 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: `Alice`, `Arnold`, `Eric`, `Peter`
 - Each person has a unique level of education: `master`, `bachelor`, `associate`, `high school`
 - People have unique favorite sports: `tennis`, `soccer`, `swimming`, `basketball`
 - Each person has an occupation: `teacher`, `engineer`, `doctor`, `artist`
 - They all have a unique favorite flower: `carnations`, `daffodils`, `lilies`, `roses`
 - People have unique heights: `very short`, `average`, `tall`, `short`

## Clues:
1. Eric is the person who loves a carnations arrangement.
2. The person who loves swimming is somewhere to the left of the person who is an artist.
3. Arnold is directly left of the person who is tall.
4. The person who loves swimming and the person who is a teacher are next to each other.
5. The person who loves basketball is the person with a bachelor's degree.
6. The person who is a doctor is the person who loves the rose bouquet.
7. The person who loves the boquet of lilies is the person who loves tennis.
8. The person who loves a carnations arrangement is the person with a master's degree.
9. The person who is a teacher is directly left of Alice.
10. The person who is an artist is the person with an associate's degree.
11. The person who loves a bouquet of daffodils is the person who is an artist.
12. The person who loves soccer is not in the fourth house.
13. The person who loves a bouquet of daffodils is somewhere to the right of the person who is short.
14. The person with a master's degree is the person who is very short.
 What is the value of attribute Name for the person whose attribute Education is bachelor? 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`, `Peter`, `Arnold`, `Eric`
 - Each person has an occupation: `teacher`, `doctor`, `engineer`, `artist`
 - The people are of nationalities: `swede`, `dane`, `norwegian`, `brit`
 - The people keep unique animals: `horse`, `bird`, `cat`, `fish`
 - Each person has a favorite color: `green`, `white`, `red`, `yellow`
 - People have unique favorite sports: `tennis`, `soccer`, `swimming`, `basketball`

## Clues:
1. The person who is an artist is directly left of the person who loves swimming.
2. Alice is the fish enthusiast.
3. The person who is a teacher is in the second house.
4. The Norwegian is the person who loves white.
5. Arnold is directly left of the Swedish person.
6. The person who loves white and the person who loves tennis are next to each other.
7. The person who keeps horses is Eric.
8. The person whose favorite color is green is the person who loves tennis.
9. The person who keeps horses is directly left of the person who loves tennis.
10. The person who loves yellow is Peter.
11. The Dane is in the first house.
12. Alice is somewhere to the right of Peter.
13. The person who loves white is not in the second house.
14. There is one house between the cat lover and the person who loves soccer.
15. The person who loves tennis is somewhere to the right of the person who is a doctor.
 What is the value of attribute FavoriteSport for the person whose attribute Nationality is swede? Please reason step by step, and put your final answer within \boxed{}

Answer: swimming


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Bob`, `Arnold`, `Peter`, `Alice`
 - People have unique favorite book genres: `romance`, `science fiction`, `biography`, `fantasy`, `mystery`
 - Each person prefers a unique type of vacation: `camping`, `cruise`, `beach`, `mountain`, `city`

## Clues:
1. The person who loves biography books is Eric.
2. The person who loves biography books is directly left of the person who loves mystery books.
3. The person who loves science fiction books is directly left of the person who loves fantasy books.
4. There are two houses between Bob and the person who likes going on cruises.
5. The person who enjoys mountain retreats is in the first house.
6. The person who loves mystery books is somewhere to the right of the person who prefers city breaks.
7. The person who enjoys camping trips is Arnold.
8. Alice is not in the third house.
9. The person who loves mystery books is not in the fifth house.
10. The person who loves beach vacations is the person who loves mystery books.
 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: 4


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

## Clues:
1. Alice is somewhere to the right of the person who loves classical music.
2. The person who loves pop music is directly left of the person who loves classical music.
3. Bob is in the fourth house.
4. The person who loves country music is Bob.
5. The person who loves hip-hop music is Peter.
6. Carol is somewhere to the right of the person who loves jazz music.
7. Peter is directly left of Eric.
 What is the value of attribute Name for the person whose attribute House is 1? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


There are 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`, `Eric`, `Bob`, `Alice`
 - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `huawei p50`, `oneplus 9`, `iphone 13`
 - People have unique favorite book genres: `science fiction`, `romance`, `biography`, `mystery`, `fantasy`

## Clues:
1. Peter is the person who uses a Huawei P50.
2. The person who loves fantasy books is directly left of Alice.
3. Bob is in the second house.
4. There are two houses between the person who uses a OnePlus 9 and the person who loves biography books.
5. Arnold is the person who loves romance books.
6. The person who loves fantasy books is the person who uses a OnePlus 9.
7. The person who uses a Samsung Galaxy S21 is not in the fifth house.
8. The person who uses an iPhone 13 is the person who loves science fiction books.
9. Peter is directly left of the person who uses a OnePlus 9.
 What is the value of attribute BookGenre for the person whose attribute PhoneModel is huawei p50? Please reason step by step, and put your final answer within \boxed{}

Answer: mystery


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Bob`, `Alice`
 - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `huawei p50`, `oneplus 9`, `iphone 13`
 - People have unique favorite book genres: `science fiction`, `romance`, `biography`, `mystery`, `fantasy`

## Clues:
1. Peter is the person who uses a Huawei P50.
2. The person who loves fantasy books is directly left of Alice.
3. Bob is in the second house.
4. There are two houses between the person who uses a OnePlus 9 and the person who loves biography books.
5. Arnold is the person who loves romance books.
6. The person who loves fantasy books is the person who uses a OnePlus 9.
7. The person who uses a Samsung Galaxy S21 is not in the fifth house.
8. The person who uses an iPhone 13 is the person who loves science fiction books.
9. Peter is directly left of the person who uses a OnePlus 9.
 What is the value of attribute Name for the person whose attribute BookGenre is mystery? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Arnold`, `Peter`
 - The people keep unique animals: `horse`, `bird`, `cat`
 - Everyone has a favorite smoothie: `watermelon`, `cherry`, `desert`
 - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Aniya`
 - People have unique favorite music genres: `pop`, `classical`, `rock`
 - Each person has a favorite color: `yellow`, `white`, `red`

## Clues:
1. The cat lover is in the third house.
2. There is one house between the person who loves yellow and the cat lover.
3. The person who loves classical music is directly left of Eric.
4. Arnold is the Desert smoothie lover.
5. The bird keeper is the Watermelon smoothie lover.
6. The person whose mother's name is Janelle is somewhere to the left of the person who loves white.
7. The person who loves yellow is the person who loves rock music.
8. The person whose mother's name is Holly is directly left of Peter.
 What is the value of attribute Animal for the person whose attribute MusicGenre is rock? 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: `Eric`, `Arnold`, `Alice`, `Peter`
 - Everyone has a unique favorite cigar: `dunhill`, `pall mall`, `prince`, `blue master`
 - Each person has a unique level of education: `associate`, `high school`, `master`, `bachelor`
 - They all have a unique favorite flower: `lilies`, `daffodils`, `carnations`, `roses`
 - Each person has a unique hobby: `cooking`, `photography`, `gardening`, `painting`

## Clues:
1. The person with a bachelor's degree is the person who enjoys gardening.
2. Arnold is somewhere to the left of the person who loves a carnations arrangement.
3. Eric is not in the second house.
4. The person who loves a bouquet of daffodils is the person who paints as a hobby.
5. The person who loves the rose bouquet is the person who smokes Blue Master.
6. The person partial to Pall Mall is Peter.
7. Arnold is in the third house.
8. Peter is directly left of the person who enjoys gardening.
9. Arnold is the person with a high school diploma.
10. The person who smokes Blue Master is not in the second house.
11. The Prince smoker is the photography enthusiast.
12. The person with a master's degree is somewhere to the left of the person who smokes Blue Master.
 What is the value of attribute Flower for the person whose attribute Education is high school? Please reason step by step, and put your final answer within \boxed{}

Answer: roses


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

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

Answer: 2


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Peter`, `Carol`, `Eric`, `Alice`, `Arnold`
 - Each person has a unique favorite drink: `coffee`, `milk`, `water`, `root beer`, `tea`, `boba tea`
 - They all have a unique favorite flower: `tulips`, `lilies`, `daffodils`, `iris`, `roses`, `carnations`
 - Each person has an occupation: `doctor`, `artist`, `nurse`, `engineer`, `teacher`, `lawyer`
 - Each person has a unique hobby: `woodworking`, `photography`, `cooking`, `painting`, `knitting`, `gardening`

## Clues:
1. Alice is somewhere to the right of the person who loves cooking.
2. Peter is not in the second house.
3. The person who loves the rose bouquet is directly left of the person who likes milk.
4. Bob is the person who is a lawyer.
5. The person who loves a carnations arrangement is somewhere to the right of Bob.
6. The person who enjoys knitting is somewhere to the left of the coffee drinker.
7. The person who is a nurse is directly left of the person who is a doctor.
8. Eric is the photography enthusiast.
9. The person who loves the boquet of lilies is the woodworking hobbyist.
10. The person who paints as a hobby is in the first house.
11. The person who loves a carnations arrangement is the root beer lover.
12. The person who is an artist is the person who likes milk.
13. The person who loves a bouquet of daffodils is in the first house.
14. The photography enthusiast is somewhere to the right of the boba tea drinker.
15. The person who loves the rose bouquet is somewhere to the right of the person who is a doctor.
16. The tea drinker is the person who is an engineer.
17. Arnold is directly left of Carol.
18. The coffee drinker is the person who is a nurse.
19. The person who loves the vase of tulips is the person who loves cooking.
20. The person who is a teacher is somewhere to the right of the root beer lover.
21. The person who enjoys gardening is Carol.
 What is the value of attribute Drink for the person whose attribute Flower is lilies? 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: `Arnold`, `Peter`, `Alice`, `Eric`, `Bob`
 - Each person has a unique favorite drink: `root beer`, `tea`, `water`, `coffee`, `milk`
 - People have unique favorite music genres: `pop`, `hip hop`, `classical`, `jazz`, `rock`
 - The people are of nationalities: `dane`, `norwegian`, `swede`, `german`, `brit`
 - Everyone has a unique favorite cigar: `dunhill`, `prince`, `blue master`, `pall mall`, `blends`

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

Answer: norwegian


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 HouseStyle is colonial? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`
 - Each person has a unique hobby: `photography`, `cooking`, `painting`, `gardening`
 - Everyone has a unique favorite cigar: `dunhill`, `blue master`, `prince`, `pall mall`

## Clues:
1. The person who loves cooking is not in the fourth house.
2. The person who paints as a hobby is somewhere to the left of the photography enthusiast.
3. The person partial to Pall Mall is Arnold.
4. There is one house between Peter and the photography enthusiast.
5. The Dunhill smoker is directly left of the person who loves cooking.
6. The person partial to Pall Mall is directly left of Alice.
7. The person partial to Pall Mall is somewhere to the left of the person who smokes Blue Master.
8. The Prince smoker is the photography enthusiast.
 What is the value of attribute Hobby for the person whose attribute House is 1? Please reason step by step, and put your final answer within \boxed{}

Answer: painting


There are 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`, `Arnold`, `Eric`, `Bob`, `Peter`
 - Everyone has a favorite smoothie: `watermelon`, `cherry`, `dragonfruit`, `lime`, `desert`
 - People have unique favorite music genres: `hip hop`, `classical`, `rock`, `pop`, `jazz`
 - Everyone has something unique for lunch: `grilled cheese`, `pizza`, `spaghetti`, `stir fry`, `stew`
 - Each person has a unique favorite drink: `tea`, `root beer`, `milk`, `water`, `coffee`

## Clues:
1. The coffee drinker is not in the first house.
2. The person who loves jazz music is the Desert smoothie lover.
3. The Watermelon smoothie lover is in the fourth house.
4. The coffee drinker is directly left of Peter.
5. The one who only drinks water is the person who loves hip-hop music.
6. The Dragonfruit smoothie lover is directly left of the one who only drinks water.
7. The Desert smoothie lover is in the fifth house.
8. The person who loves stir fry is somewhere to the right of Bob.
9. The person who is a pizza lover is the person who likes Cherry smoothies.
10. The person who loves classical music is the person who loves the stew.
11. The one who only drinks water is Bob.
12. The root beer lover is the Dragonfruit smoothie lover.
13. There is one house between Arnold and the person who likes Cherry smoothies.
14. The person who loves the spaghetti eater is in the fifth house.
15. The person who likes milk is in the fifth house.
16. The person who likes Cherry smoothies is Bob.
17. The Dragonfruit smoothie lover is the person who loves the stew.
18. Eric and Peter are next to each other.
19. The person who loves rock music is not in the first house.
 What is the value of attribute Drink for the person whose attribute Smoothie is lime? Please reason step by step, and put your final answer within \boxed{}

Answer: tea


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Eric`, `Peter`
 - They all have a unique favorite flower: `daffodils`, `lilies`, `carnations`
 - People have unique hair colors: `blonde`, `black`, `brown`
 - People have unique favorite music genres: `pop`, `rock`, `classical`
 - The mothers' names in different houses are unique: `Janelle`, `Holly`, `Aniya`
 - Each person has a favorite color: `yellow`, `red`, `white`

## Clues:
1. Peter is somewhere to the left of Arnold.
2. The person whose favorite color is red is not in the third house.
3. Peter and the person who has black hair are next to each other.
4. The person whose mother's name is Holly is somewhere to the right of the person who loves rock music.
5. The person who has blonde hair is the person who loves classical music.
6. The person who loves a carnations arrangement is somewhere to the right of the person who loves rock music.
7. Arnold is directly left of the person who loves a bouquet of daffodils.
8. The person who loves the boquet of lilies is the person who loves yellow.
9. The person whose mother's name is Janelle is directly left of the person who loves a bouquet of daffodils.
 What is the value of attribute Mother for the person whose attribute Color is white? 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`, `Eric`, `Arnold`, `Peter`, `Alice`
 - Everyone has a unique favorite cigar: `blends`, `prince`, `pall mall`, `blue master`, `dunhill`
 - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `stew`, `pizza`, `stir fry`
 - The people are of nationalities: `norwegian`, `swede`, `brit`, `dane`, `german`
 - Each person has an occupation: `teacher`, `lawyer`, `doctor`, `artist`, `engineer`
 - People have unique heights: `average`, `very tall`, `short`, `very short`, `tall`

## Clues:
1. The person who smokes Blue Master is the person who is a lawyer.
2. Alice is the person partial to Pall Mall.
3. The person partial to Pall Mall is somewhere to the left of the Dunhill smoker.
4. The German is the person who loves stir fry.
5. The person who is tall is the person who smokes many unique blends.
6. The person who is an artist is the person who loves the spaghetti eater.
7. Peter is the person who is short.
8. The Dunhill smoker is not in the fourth house.
9. The person who is very short is the person who smokes Blue Master.
10. There are two houses between the person who loves the spaghetti eater and the person who loves stir fry.
11. The person who has an average height is in the second house.
12. The Prince smoker is the person who is a doctor.
13. The Swedish person is the person who is an engineer.
14. Eric is the person who loves stir fry.
15. There is one house between the British person and the person who loves the stew.
16. The person who is very tall is the Norwegian.
17. The Dane is the person who is short.
18. The person who is very tall is Arnold.
19. There are two houses between the person who is a pizza lover and the person who is very tall.
20. The person who is a teacher is not in the third house.
 What is the value of attribute Occupation for the person whose attribute Name is Arnold? Please reason step by step, and put your final answer within \boxed{}

Answer: teacher


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Alice`, `Bob`, `Eric`, `Arnold`
 - People have unique heights: `very tall`, `average`, `tall`, `very short`, `short`

## Clues:
1. The person who is short is in the second house.
2. Peter is directly left of Bob.
3. Eric is somewhere to the left of Peter.
4. The person who is very tall is directly left of Peter.
5. Alice is directly left of the person who has an average height.
6. The person who is short and the person who is very short are next to each other.
7. The person who has an average height is in the fifth house.
 What is the value of attribute House for the person whose attribute Name is Alice? Please reason step by step, and put your final answer within \boxed{}

Answer: 4


There are 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`, `Arnold`, `Peter`, `Alice`, `Bob`
 - The people are of nationalities: `chinese`, `german`, `dane`, `norwegian`, `swede`, `brit`
 - Each person lives in a unique style of house: `craftsman`, `colonial`, `modern`, `victorian`, `mediterranean`, `ranch`

## Clues:
1. The Chinese and the Swedish person are next to each other.
2. The German is Bob.
3. Peter is somewhere to the left of the Swedish person.
4. The person in a Mediterranean-style villa is not in the fourth house.
5. The Chinese is not in the third house.
6. The person residing in a Victorian house is not in the third house.
7. The person in a modern-style house is not in the third house.
8. The person in a Mediterranean-style villa is directly left of the person residing in a Victorian house.
9. Arnold is the person living in a colonial-style house.
10. Bob is directly left of Carol.
11. Carol is somewhere to the right of the Chinese.
12. The person in a Mediterranean-style villa is the Dane.
13. There is one house between Arnold and the Swedish person.
14. The person in a Craftsman-style house is somewhere to the right of the British person.
15. There is one house between the person in a Craftsman-style house and Eric.
 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: `Alice`, `Peter`, `Arnold`, `Eric`
 - People own unique car models: `honda civic`, `tesla model 3`, `ford f150`, `toyota camry`
 - Each person has a unique type of pet: `bird`, `cat`, `fish`, `dog`
 - People use unique phone models: `oneplus 9`, `iphone 13`, `google pixel 6`, `samsung galaxy s21`

## Clues:
1. The person who uses an iPhone 13 is the person who owns a dog.
2. Alice is not in the second house.
3. The person who uses an iPhone 13 is the person who owns a Toyota Camry.
4. The person who uses a Google Pixel 6 is not in the fourth house.
5. The person who owns a Ford F-150 is not in the second house.
6. The person with an aquarium of fish is directly left of the person who keeps a pet bird.
7. Peter is the person who uses a Google Pixel 6.
8. The person who owns a Tesla Model 3 is directly left of the person who uses an iPhone 13.
9. Eric is not in the second house.
10. Eric is not in the first house.
11. The person who uses a Google Pixel 6 and the person who owns a Ford F-150 are next to each other.
12. The person who uses a OnePlus 9 is somewhere to the left of the person who owns a Ford F-150.
 What is the value of attribute PhoneModel for the person whose attribute CarModel is honda civic? Please reason step by step, and put your final answer within \boxed{}

Answer: google pixel 6


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Carol`, `Bob`, `Alice`, `Arnold`, `Eric`, `Peter`
 - People use unique phone models: `samsung galaxy s21`, `google pixel 6`, `iphone 13`, `huawei p50`, `oneplus 9`, `xiaomi mi 11`
 - The people are of nationalities: `swede`, `chinese`, `norwegian`, `dane`, `german`, `brit`
 - Each person has a favorite color: `blue`, `red`, `yellow`, `green`, `white`, `purple`

## Clues:
1. Carol is not in the third house.
2. There is one house between the Dane and the British person.
3. Carol is the person whose favorite color is green.
4. Arnold is directly left of Alice.
5. Alice is the German.
6. The person who uses a OnePlus 9 is the person who loves purple.
7. The person who uses a Huawei P50 is not in the third house.
8. The person who uses a Samsung Galaxy S21 is in the fifth house.
9. The person who loves white is somewhere to the right of the person whose favorite color is red.
10. The person who uses a Samsung Galaxy S21 is Bob.
11. The Dane is the person who loves yellow.
12. The person who uses a Samsung Galaxy S21 is somewhere to the left of Peter.
13. The person who loves blue is Peter.
14. Peter is the British person.
15. The person who uses a Samsung Galaxy S21 is directly left of the person who uses an iPhone 13.
16. The Norwegian is the person who loves purple.
17. The person who uses a Xiaomi Mi 11 is the Chinese.
 What is the value of attribute PhoneModel for the person whose attribute Color is red? Please reason step by step, and put your final answer within \boxed{}

Answer: google pixel 6


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Alice`, `Eric`, `Arnold`, `Peter`
 - Each mother is accompanied by their child: `Samantha`, `Meredith`, `Timothy`, `Bella`, `Fred`
 - People have unique hair colors: `red`, `blonde`, `black`, `brown`, `gray`
 - Each person has a unique hobby: `gardening`, `cooking`, `painting`, `knitting`, `photography`
 - Each person has a unique type of pet: `hamster`, `bird`, `cat`, `fish`, `dog`
 - They all have a unique favorite flower: `tulips`, `roses`, `carnations`, `lilies`, `daffodils`

## Clues:
1. The person's child is named Samantha is somewhere to the right of the person's child is named Meredith.
2. The person who loves the boquet of lilies is the person who keeps a pet bird.
3. The person who has blonde hair is the person who loves the vase of tulips.
4. Bob is the person who has brown hair.
5. The person who paints as a hobby is the person with an aquarium of fish.
6. The person's child is named Fred is Peter.
7. The person with an aquarium of fish is somewhere to the left of the person who has a cat.
8. The person with a pet hamster is the person's child is named Samantha.
9. The person's child is named Bella is Arnold.
10. The person's child is named Bella is in the third house.
11. Peter is not in the first house.
12. Alice is the person who has blonde hair.
13. The person who loves the rose bouquet is not in the third house.
14. The person who owns a dog is the person's child is named Fred.
15. The person who has red hair is directly left of the person who has black hair.
16. The photography enthusiast is directly left of Eric.
17. The person who has black hair is the person who loves the rose bouquet.
18. The person who loves a carnations arrangement is not in the third house.
19. The person who enjoys knitting is somewhere to the right of the person's child is named Bella.
20. The person who loves the boquet of lilies is the person who enjoys gardening.
21. The person who keeps a pet bird is in the fifth house.
 What is the value of attribute House for the person whose attribute Hobby is gardening? 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: `Eric`, `Peter`, `Bob`, `Alice`, `Arnold`
 - People have unique heights: `very short`, `average`, `tall`, `short`, `very tall`
 - People own unique car models: `toyota camry`, `bmw 3 series`, `honda civic`, `ford f150`, `tesla model 3`
 - People use unique phone models: `iphone 13`, `oneplus 9`, `samsung galaxy s21`, `google pixel 6`, `huawei p50`

## Clues:
1. Arnold is in the fifth house.
2. The person who is short is the person who owns a Tesla Model 3.
3. The person who has an average height is somewhere to the right of Alice.
4. The person who owns a Honda Civic is not in the third house.
5. The person who owns a BMW 3 Series is directly left of Arnold.
6. The person who uses a OnePlus 9 is directly left of the person who owns a Ford F-150.
7. Alice is directly left of the person who is very short.
8. The person who uses an iPhone 13 is not in the second house.
9. The person who uses a Google Pixel 6 is Arnold.
10. The person who uses a Google Pixel 6 is the person who is tall.
11. Peter is the person who uses a Huawei P50.
12. Peter is directly left of the person who uses a OnePlus 9.
13. Bob is the person who owns a Tesla Model 3.
 What is the value of attribute CarModel for the person whose attribute Name is Peter? Please reason step by step, and put your final answer within \boxed{}

Answer: toyota camry


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Peter`, `Alice`, `Arnold`, `Bob`, `Carol`
 - Each person has a unique hobby: `cooking`, `knitting`, `painting`, `gardening`, `woodworking`, `photography`
 - Everyone has a favorite smoothie: `lime`, `cherry`, `desert`, `blueberry`, `watermelon`, `dragonfruit`
 - The people are of nationalities: `chinese`, `dane`, `german`, `norwegian`, `swede`, `brit`
 - People have unique favorite music genres: `hip hop`, `country`, `rock`, `jazz`, `classical`, `pop`

## Clues:
1. The person who loves rock music is Bob.
2. The person who enjoys knitting is the German.
3. The woodworking hobbyist is in the sixth house.
4. The person who loves rock music is directly left of the woodworking hobbyist.
5. There is one house between the Watermelon smoothie lover and the person who loves hip-hop music.
6. The Chinese is the Watermelon smoothie lover.
7. The Desert smoothie lover is the Norwegian.
8. The person who drinks Blueberry smoothies is not in the sixth house.
9. The person who loves pop music is somewhere to the left of the person who enjoys gardening.
10. Carol is somewhere to the left of the Swedish person.
11. Peter is somewhere to the right of the person who loves pop music.
12. The Norwegian is somewhere to the right of the Dragonfruit smoothie lover.
13. The German is the person who loves country music.
14. The person who paints as a hobby is directly left of the person who loves hip-hop music.
15. The Dane is Arnold.
16. The person who loves jazz music is the Chinese.
17. The British person is not in the third house.
18. The Swedish person is the person who loves pop music.
19. The person who drinks Lime smoothies is the photography enthusiast.
20. The person who loves hip-hop music is directly left of Alice.
21. The Dane is the woodworking hobbyist.
 What is the value of attribute Hobby for the person whose attribute Name is Arnold? Please reason step by step, and put your final answer within \boxed{}

Answer: woodworking


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 favorite drink: `coffee`, `water`, `tea`, `milk`
 - Each mother is accompanied by their child: `Samantha`, `Meredith`, `Bella`, `Fred`

## Clues:
1. The person's child is named Meredith is not in the fourth house.
2. The person who likes milk is the person's child is named Bella.
3. The person's child is named Samantha is somewhere to the right of Alice.
4. The tea drinker is the person's child is named Fred.
5. There is one house between the coffee drinker and Peter.
6. The person's child is named Samantha is somewhere to the left of the tea drinker.
7. Eric is somewhere to the right of the person's child is named Fred.
 What is the value of attribute House for the person whose attribute Children is Samantha? Please reason step by step, and put your final answer within \boxed{}

Answer: 2


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

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

Answer: rock


17. From a square with a side length of 20, remove a rectangle with an area of 36, where the two side lengths of the rectangle are integers, and one side of the rectangle is part of one side of the square. The maximum perimeter of the remaining shape is $\qquad$.

Answer: 116


3. In the coordinate plane $x O y$, an integer coordinate grid is drawn. The segment ( $p$ ) in this plane is defined by

$$
(p) \quad 7 x-3 y-5=0, \quad 0 \leq x \leq 100
$$

Determine the number of squares of this grid that contain points of the segment ( p).

Answer: 301


Problem 3. (4 points) On a table, a cardboard circle with a radius of 5 cm is placed. As long as possible, Peter places cardboard squares with a side of 5 cm outside the circle in such a way that the following conditions are met:

1) one vertex of each square lies on the boundary of the circle;
2) the squares do not overlap;
3) each new square shares a vertex with the one placed before it.

![](https://cdn.mathpix.com/cropped/2024_06_03_336fa2e3a24e7097f2a8g-1.jpg?height=363&width=333&top_left_y=1686&top_left_x=1465)

Find the number of squares Peter can place and prove that the first and the last of them also share a vertex.

Answer: 8


13. Ring Line (from 8th grade. 3 points). On weekdays, the Absent-Minded Scientist travels to work on the ring line of the Moscow metro from the station "Taganskaya" to the station "Kievskaya", and back in the evening (see the diagram).

Upon entering the station, the Scientist boards the first train that arrives. It is known that trains run at approximately equal intervals in both directions, and that the train traveling on the northern route (through "Belorusskaya") takes 17 minutes to travel from "Kievskaya" to "Taganskaya" or vice versa, while the train on the southern route (through "Paveletskaya") takes 11 minutes.

Out of habit, the Scientist always calculates everything. Once, he calculated that over many years of observation:

- the train traveling counterclockwise arrives at "Kievskaya" on average 1 minute and 15 seconds after the train traveling clockwise arrives at the same station. The same is true for "Taganskaya";

- the average travel time from home to work is 1 minute less than the travel time from work to home.

Find the expected interval between trains traveling in the same direction.

![](https://cdn.mathpix.com/cropped/2024_05_06_b695f5b0d6056980ce62g-08.jpg?height=785&width=785&top_left_y=1606&top_left_x=1138)

Answer: 3


Shapovalov A.V.

A row of new recruits stood facing the sergeant. On the command "left," some turned left, while the rest turned right. It turned out that six times more soldiers were looking at the back of their neighbor than in the face. Then, on the command "about face," everyone turned in the opposite direction. Now, seven times more soldiers were looking at the back of their neighbor than in the face. How many soldiers are in the row?

Answer: 98


4. Consider the game "Battleship" on a $5 \times 5$ square grid. What is the minimum number of shots needed to guarantee hitting a ship of size $1 \times 4$ cells?

Answer: 6


438. Escape across the river. During the flight of the Turkish troops at Treise, a small detachment found itself on the bank of a wide and deep river. Here they found a boat in which two boys were boating. The boat was so small that it could only hold two children or one adult.

How did the officer manage to cross the river with his 357 soldiers, returning the boat to the boys at the end of the crossing? How many times did the boat have to cross from bank to bank?

Answer: 1432


55. Three faces of an $8 \times 8 \times 8$ cube are painted blue, and the other three faces are painted red, such that no vertex has three faces of the same color. How many small cubes from this large cube have both a blue and a red face?

Answer: 56


9.2 Given an isosceles triangle $A B C$ with base $A C$. Points $K$ and $N$ are marked on the side $B C$ (K lies between $B$ and $N$). It turns out that $K N = A N$ and $\angle B A K = \angle N A C$. Find $\angle B A N$.

Answer: 60


## Task A-4.3.

In a convex quadrilateral $A B C D$, the following holds:

$$
\varangle B A C=48^{\circ}, \quad \varangle C A D=66^{\circ}, \quad \varangle C B D=\varangle D B A
$$

Determine the angle $\varangle B D C$.

Answer: 24


There are 1994 points on a circle, which are painted in several different colors, and the number of points of each color is different. Now, take one point from each color set to form a polygon with vertices of different colors inside the circle. To maximize the number of such polygons, how many different colors should the 1994 points be painted, and how many points should each color set contain?

Answer: 61


4. In the class, there are 30 students: excellent students, average students, and poor students. Excellent students always answer questions correctly, poor students always make mistakes, and average students answer the questions given to them strictly in turn, alternating between correct and incorrect answers. All students were asked three questions: "Are you an excellent student?", "Are you an average student?", "Are you a poor student?". 19 students answered "Yes" to the first question, 12 to the second, and 9 to the third. How many average students are there in this class?

Answer: 20


Example 4-16 There are 3 different colored beads, used to make a necklace of 4 beads, what are the possible schemes?

Using 3 different colored beads to assemble a necklace of 4 beads, the question asks for all possible combinations.

Answer: 21


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Eric`, `Bob`, `Arnold`, `Carol`, `Alice`
 - Each person has a unique birthday month: `may`, `sept`, `jan`, `mar`, `feb`, `april`
 - People have unique hair colors: `brown`, `blonde`, `red`, `auburn`, `black`, `gray`
 - Each mother is accompanied by their child: `Alice`, `Samantha`, `Fred`, `Meredith`, `Timothy`, `Bella`
 - Everyone has a favorite smoothie: `blueberry`, `cherry`, `watermelon`, `lime`, `dragonfruit`, `desert`
 - The mothers' names in different houses are unique: `Sarah`, `Aniya`, `Janelle`, `Holly`, `Kailyn`, `Penny`

## Clues:
1. The person whose birthday is in September and the person's child is named Alice are next to each other.
2. The person whose birthday is in April is the person who is the mother of Timothy.
3. The person who likes Cherry smoothies is the person who has gray hair.
4. Alice is somewhere to the right of Arnold.
5. The person's child is named Alice is somewhere to the right of The person whose mother's name is Sarah.
6. Peter is the person who drinks Blueberry smoothies.
7. The person whose mother's name is Janelle is the person whose birthday is in May.
8. The person whose birthday is in January is somewhere to the left of The person whose mother's name is Sarah.
9. The Watermelon smoothie lover is the person who has brown hair.
10. The person who has red hair is somewhere to the right of the person who has gray hair.
11. The person who drinks Lime smoothies is in the fifth house.
12. The person who has black hair and the person's child is named Meredith are next to each other.
13. The person whose birthday is in March is somewhere to the right of the person who has red hair.
14. The person whose mother's name is Sarah is somewhere to the left of the person who has auburn hair.
15. The person who has black hair is directly left of The person whose mother's name is Penny.
16. The person's child is named Samantha is The person whose mother's name is Holly.
17. The person who has blonde hair and Bob are next to each other.
18. The person who has gray hair is the person whose birthday is in January.
19. The person who has black hair is in the first house.
20. The person whose mother's name is Sarah is the person who has blonde hair.
21. The person whose mother's name is Kailyn is Arnold.
22. The person whose birthday is in January is The person whose mother's name is Kailyn.
23. The person whose birthday is in September is Carol.
24. The person who drinks Lime smoothies is somewhere to the right of the Desert smoothie lover.
25. The person's child is named Fred is not in the third house.
 What is the value of attribute Children for the person whose attribute Birthday is mar? Please reason step by step, and put your final answer within \boxed{}

Answer: Samantha


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`, `Eric`, `Peter`, `Alice`
 - People use unique phone models: `iphone 13`, `huawei p50`, `oneplus 9`, `google pixel 6`, `xiaomi mi 11`, `samsung galaxy s21`
 - Everyone has a unique favorite cigar: `pall mall`, `yellow monster`, `prince`, `blends`, `dunhill`, `blue master`
 - Each person prefers a unique type of vacation: `cultural`, `beach`, `city`, `camping`, `cruise`, `mountain`
 - People have unique hair colors: `brown`, `red`, `gray`, `black`, `blonde`, `auburn`
 - Each person has a unique favorite drink: `coffee`, `boba tea`, `milk`, `water`, `root beer`, `tea`

## Clues:
1. The person who prefers city breaks is Bob.
2. The person who has brown hair is the one who only drinks water.
3. Eric is directly left of the person who uses a Samsung Galaxy S21.
4. There is one house between the person who loves beach vacations and the person who enjoys camping trips.
5. The one who only drinks water is somewhere to the left of the person who uses a Xiaomi Mi 11.
6. The person who has brown hair is the Dunhill smoker.
7. The person who has red hair is Arnold.
8. The person who has auburn hair is the person who uses an iPhone 13.
9. The person who has gray hair is not in the sixth house.
10. The person who likes milk is the person who has auburn hair.
11. The person who smokes Blue Master is Alice.
12. The person who uses a OnePlus 9 is the person who likes going on cruises.
13. The coffee drinker is the Prince smoker.
14. The coffee drinker is the person who uses a Huawei P50.
15. Eric is the tea drinker.
16. The Prince smoker is in the third house.
17. The person who smokes Yellow Monster is somewhere to the right of the coffee drinker.
18. The person who enjoys mountain retreats is Peter.
19. The person who uses a Huawei P50 is the person who has blonde hair.
20. There are two houses between the person who loves beach vacations and the person who uses a Google Pixel 6.
21. The one who only drinks water is in the fourth house.
22. Eric is the person partial to Pall Mall.
23. Bob is the boba tea drinker.
 What is the value of attribute House for the person whose attribute HairColor is blonde? Please reason step by step, and put your final answer within \boxed{}

Answer: 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: `Bob`, `Peter`, `Alice`, `Carol`, `Eric`, `Arnold`
 - People have unique favorite sports: `swimming`, `tennis`, `baseball`, `soccer`, `volleyball`, `basketball`
 - People have unique heights: `super tall`, `average`, `very short`, `very tall`, `short`, `tall`
 - People own unique car models: `chevrolet silverado`, `tesla model 3`, `toyota camry`, `ford f150`, `bmw 3 series`, `honda civic`

## Clues:
1. The person who is very short is the person who loves swimming.
2. The person who loves baseball is the person who is short.
3. Alice is the person who owns a Honda Civic.
4. The person who loves baseball is somewhere to the right of Bob.
5. The person who loves soccer is somewhere to the right of Carol.
6. There are two houses between the person who loves volleyball and the person who has an average height.
7. Arnold is in the third house.
8. The person who loves tennis is not in the fourth house.
9. The person who owns a Chevrolet Silverado and the person who owns a Toyota Camry are next to each other.
10. Alice is directly left of the person who is super tall.
11. The person who owns a Ford F-150 is the person who loves swimming.
12. Eric is in the fourth house.
13. The person who is short is the person who owns a Chevrolet Silverado.
14. The person who loves baseball is in the fifth house.
15. Eric is the person who owns a BMW 3 Series.
16. The person who loves swimming is somewhere to the left of the person who is very tall.
17. The person who has an average height is the person who owns a BMW 3 Series.
 What is the value of attribute CarModel for the person whose attribute House is 2? Please reason step by step, and put your final answer within \boxed{}

Answer: tesla model 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 Food is spaghetti? Please reason step by step, and put your final answer within \boxed{}

Answer: 3


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

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

Answer: watermelon


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`
 - They all have a unique favorite flower: `lilies`, `carnations`, `daffodils`, `roses`, `tulips`
 - People have unique favorite sports: `swimming`, `soccer`, `tennis`, `basketball`, `baseball`
 - The mothers' names in different houses are unique: `Aniya`, `Kailyn`, `Janelle`, `Penny`, `Holly`

## Clues:
1. The person whose mother's name is Kailyn is the person who loves basketball.
2. Arnold is somewhere to the left of the person who loves baseball.
3. The person who loves basketball is the person who loves a carnations arrangement.
4. The person who loves the rose bouquet is Bob.
5. The person who loves baseball is The person whose mother's name is Holly.
6. The person whose mother's name is Aniya is directly left of Peter.
7. The person who loves tennis is The person whose mother's name is Janelle.
8. The person who loves the rose bouquet is somewhere to the left of the person who loves swimming.
9. The person who loves a bouquet of daffodils is in the fifth house.
10. The person who loves tennis and the person who loves the boquet of lilies are next to each other.
11. The person who loves the rose bouquet is directly left of Alice.
12. The person who loves basketball is in the second house.
13. There are two houses between Eric and the person who loves baseball.
 What is the value of attribute Name for the person whose attribute Flower is daffodils? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Arnold`, `Bob`, `Eric`, `Carol`, `Alice`
 - People own unique car models: `bmw 3 series`, `ford f150`, `tesla model 3`, `toyota camry`, `honda civic`, `chevrolet silverado`
 - Each person has a unique hobby: `woodworking`, `painting`, `knitting`, `photography`, `gardening`, `cooking`

## Clues:
1. The person who loves cooking is not in the first house.
2. The person who owns a Tesla Model 3 is in the fifth house.
3. The person who owns a Honda Civic is in the third house.
4. Alice and the person who owns a Honda Civic are next to each other.
5. There is one house between the person who owns a Chevrolet Silverado and Carol.
6. The photography enthusiast is directly left of the person who paints as a hobby.
7. Peter is somewhere to the right of the person who owns a Tesla Model 3.
8. The person who owns a Honda Civic is directly left of Bob.
9. The person who enjoys knitting is somewhere to the right of the person who owns a Toyota Camry.
10. The person who enjoys knitting is somewhere to the left of Eric.
11. The woodworking hobbyist is directly left of the person who owns a BMW 3 Series.
12. The person who paints as a hobby is in the third house.
 What is the value of attribute Name for the person whose attribute House is 6? 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`, `Peter`, `Eric`, `Alice`, `Carol`
 - People have unique favorite music genres: `jazz`, `rock`, `pop`, `hip hop`, `classical`, `country`
 - Each person has a unique birthday month: `april`, `feb`, `jan`, `mar`, `sept`, `may`
 - Each person has a unique favorite drink: `root beer`, `coffee`, `tea`, `boba tea`, `water`, `milk`
 - Each person has an occupation: `nurse`, `doctor`, `teacher`, `lawyer`, `artist`, `engineer`

## Clues:
1. The person who loves pop music is not in the fourth house.
2. The boba tea drinker is the person whose birthday is in April.
3. The person whose birthday is in January is somewhere to the right of the person whose birthday is in May.
4. Arnold is not in the third house.
5. Eric is in the first house.
6. Carol is the person who loves jazz music.
7. The person who loves classical music is directly left of the root beer lover.
8. The person who loves country music is somewhere to the left of the person who is a teacher.
9. The person who is a teacher is somewhere to the left of the person who is a nurse.
10. The person who is a doctor is somewhere to the left of the person who is a teacher.
11. The root beer lover is the person who loves hip-hop music.
12. Arnold is the person who is a lawyer.
13. Carol is not in the fourth house.
14. The person who is an artist is somewhere to the left of the person who loves pop music.
15. The person whose birthday is in April is Bob.
16. The person who likes milk is not in the second house.
17. The one who only drinks water is somewhere to the right of the person whose birthday is in March.
18. The tea drinker is the person whose birthday is in September.
19. The person whose birthday is in January is the person who loves pop music.
20. The person who loves jazz music is directly left of the person who loves rock music.
21. Alice is the person who is a nurse.
22. The tea drinker is not in the sixth house.
23. The person who is a doctor is the root beer lover.
 What is the value of attribute Birthday for the person whose attribute House is 5? 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: `Alice`, `Arnold`, `Eric`, `Peter`
 - People use unique phone models: `iphone 13`, `samsung galaxy s21`, `google pixel 6`, `oneplus 9`
 - The people are of nationalities: `norwegian`, `swede`, `dane`, `brit`
 - People have unique favorite sports: `tennis`, `swimming`, `soccer`, `basketball`
 - Each person has a favorite color: `red`, `white`, `yellow`, `green`
 - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`, `dragonfruit`

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

Answer: oneplus 9


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 Color for the person whose attribute Nationality is dane? Please reason step by step, and put your final answer within \boxed{}

Answer: yellow


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Arnold`, `Alice`, `Eric`
 - They all have a unique favorite flower: `roses`, `daffodils`, `carnations`, `lilies`
 - Each person has a unique hobby: `photography`, `painting`, `cooking`, `gardening`
 - Each person has a unique type of pet: `dog`, `fish`, `bird`, `cat`
 - Each person has a favorite color: `red`, `yellow`, `green`, `white`
 - Each person lives in a unique style of house: `craftsman`, `colonial`, `ranch`, `victorian`

## Clues:
1. The person in a Craftsman-style house is Arnold.
2. The person who loves the rose bouquet is somewhere to the right of Peter.
3. The photography enthusiast is the person who owns a dog.
4. The person who loves a bouquet of daffodils is not in the fourth house.
5. The person who loves the rose bouquet is the person whose favorite color is red.
6. The person in a Craftsman-style house is in the second house.
7. Eric is the person residing in a Victorian house.
8. The person with an aquarium of fish is the person who loves white.
9. The person who loves cooking is somewhere to the right of the person whose favorite color is red.
10. The person who loves white is the person who loves a carnations arrangement.
11. The person who loves white is somewhere to the right of the person who enjoys gardening.
12. The person who loves a bouquet of daffodils is the person who loves yellow.
13. The person living in a colonial-style house is the person whose favorite color is red.
14. The person who has a cat is Eric.
 What is the value of attribute HouseStyle for the person whose attribute Color is yellow? Please reason step by step, and put your final answer within \boxed{}

Answer: ranch


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Arnold`, `Peter`
 - People use unique phone models: `iphone 13`, `samsung galaxy s21`, `google pixel 6`
 - People have unique heights: `very short`, `average`, `short`
 - Each person lives in a unique style of house: `colonial`, `ranch`, `victorian`
 - People own unique car models: `tesla model 3`, `toyota camry`, `ford f150`

## Clues:
1. Peter is somewhere to the right of Eric.
2. The person living in a colonial-style house is in the second house.
3. The person who owns a Tesla Model 3 is the person who is very short.
4. The person who is short is directly left of the person who uses a Samsung Galaxy S21.
5. The person who uses an iPhone 13 is directly left of the person who uses a Google Pixel 6.
6. The person living in a colonial-style house is somewhere to the right of the person in a ranch-style home.
7. Arnold is in the second house.
8. The person who owns a Ford F-150 is somewhere to the right of the person who owns a Toyota Camry.
9. The person who has an average height is in the first house.
 What is the value of attribute CarModel for the person whose attribute House is 2? Please reason step by step, and put your final answer within \boxed{}

Answer: ford f150


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Eric`, `Alice`, `Arnold`, `Peter`
 - The people keep unique animals: `horse`, `dog`, `cat`, `fish`, `bird`
 - People use unique phone models: `oneplus 9`, `iphone 13`, `huawei p50`, `google pixel 6`, `samsung galaxy s21`

## Clues:
1. Bob is not in the fourth house.
2. The person who uses an iPhone 13 is somewhere to the left of the person who uses a OnePlus 9.
3. The person who uses a Huawei P50 is somewhere to the left of Alice.
4. Arnold is the dog owner.
5. Peter is somewhere to the left of the cat lover.
6. Arnold is not in the fourth house.
7. Peter is somewhere to the left of the fish enthusiast.
8. Peter is the person who uses a Huawei P50.
9. The person who uses a OnePlus 9 is directly left of the person who uses a Google Pixel 6.
10. The dog owner is somewhere to the right of the person who keeps horses.
11. The person who keeps horses is not in the first house.
12. There is one house between Bob and the person who uses an iPhone 13.
13. Eric is the person who uses a Google Pixel 6.
14. The person who uses a Google Pixel 6 is somewhere to the right of the fish enthusiast.
 What is the value of attribute House for the person whose attribute Name is Bob? Please reason step by step, and put your final answer within \boxed{}

Answer: 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`
 - People have unique favorite music genres: `rock`, `jazz`, `pop`, `classical`
 - Everyone has a favorite smoothie: `dragonfruit`, `watermelon`, `desert`, `cherry`
 - People have unique hair colors: `red`, `black`, `brown`, `blonde`
 - People have unique favorite book genres: `science fiction`, `fantasy`, `romance`, `mystery`

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

Answer: jazz


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Eric`, `Peter`
 - Everyone has a unique favorite cigar: `pall mall`, `blue master`, `prince`
 - The people keep unique animals: `horse`, `cat`, `bird`
 - Each mother is accompanied by their child: `Bella`, `Fred`, `Meredith`
 - People have unique favorite book genres: `science fiction`, `romance`, `mystery`
 - People use unique phone models: `google pixel 6`, `iphone 13`, `samsung galaxy s21`

## Clues:
1. The person who loves mystery books is the person's child is named Fred.
2. The cat lover is Eric.
3. The person partial to Pall Mall is in the second house.
4. The person who keeps horses is the person's child is named Meredith.
5. The person's child is named Bella is the Prince smoker.
6. The person who uses an iPhone 13 is directly left of the person who uses a Samsung Galaxy S21.
7. The person's child is named Fred is directly left of Arnold.
8. Peter is somewhere to the left of Eric.
9. The person who loves science fiction books is the person who uses a Samsung Galaxy S21.
10. The person who loves science fiction books is in the third house.
11. The person who loves mystery books is not in the second house.
 What is the value of attribute House for the person whose attribute PhoneModel is iphone 13? Please reason step by step, and put your final answer within \boxed{}

Answer: 2


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

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

Answer: stir fry


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`, `Eric`, `Peter`, `Carol`, `Bob`, `Arnold`
 - Everyone has a favorite smoothie: `watermelon`, `blueberry`, `desert`, `cherry`, `dragonfruit`, `lime`
 - Everyone has something unique for lunch: `stew`, `pizza`, `grilled cheese`, `stir fry`, `soup`, `spaghetti`
 - People use unique phone models: `google pixel 6`, `iphone 13`, `xiaomi mi 11`, `huawei p50`, `samsung galaxy s21`, `oneplus 9`
 - People own unique car models: `tesla model 3`, `honda civic`, `toyota camry`, `ford f150`, `chevrolet silverado`, `bmw 3 series`
 - Each person lives in a unique style of house: `craftsman`, `ranch`, `modern`, `victorian`, `mediterranean`, `colonial`

## Clues:
1. Bob is the person who uses a Xiaomi Mi 11.
2. The person who loves the soup is in the fourth house.
3. The Dragonfruit smoothie lover is somewhere to the left of the person in a ranch-style home.
4. There is one house between the person who owns a Chevrolet Silverado and the person residing in a Victorian house.
5. The person in a Mediterranean-style villa is the person who drinks Lime smoothies.
6. Eric is in the sixth house.
7. The Desert smoothie lover is the person who is a pizza lover.
8. The person living in a colonial-style house is the person who drinks Blueberry smoothies.
9. The Dragonfruit smoothie lover and the person who uses a Google Pixel 6 are next to each other.
10. The person who loves the soup is Peter.
11. Alice is somewhere to the right of the person who owns a BMW 3 Series.
12. The person who loves stir fry is the person in a ranch-style home.
13. The person who owns a Ford F-150 is the person living in a colonial-style house.
14. The person in a Craftsman-style house is somewhere to the right of the person in a modern-style house.
15. The person who loves the stew is directly left of the person in a ranch-style home.
16. The person who owns a Tesla Model 3 is directly left of the person who loves stir fry.
17. The person who loves eating grilled cheese is the person who owns a Honda Civic.
18. The person in a Mediterranean-style villa is the person who uses a Google Pixel 6.
19. The person in a Craftsman-style house is the Watermelon smoothie lover.
20. The person in a modern-style house is Carol.
21. The person who uses an iPhone 13 is in the first house.
22. The person who owns a Honda Civic is somewhere to the left of the person who owns a BMW 3 Series.
23. The person who uses a Xiaomi Mi 11 is the person who is a pizza lover.
24. The person who uses a Samsung Galaxy S21 is the person who loves stir fry.
25. The person residing in a Victorian house is directly left of the person who uses a OnePlus 9.
 What is the value of attribute PhoneModel for the person whose attribute Food is pizza? Please reason step by step, and put your final answer within \boxed{}

Answer: xiaomi mi 11


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`, `Alice`, `Eric`, `Peter`, `Bob`, `Carol`
 - They all have a unique favorite flower: `daffodils`, `roses`, `tulips`, `iris`, `carnations`, `lilies`
 - People have unique favorite sports: `basketball`, `swimming`, `soccer`, `volleyball`, `tennis`, `baseball`
 - Everyone has a favorite smoothie: `cherry`, `watermelon`, `lime`, `blueberry`, `dragonfruit`, `desert`
 - Each person has an occupation: `lawyer`, `doctor`, `teacher`, `artist`, `nurse`, `engineer`

## Clues:
1. The person who loves a bouquet of daffodils is the person who is an artist.
2. The person who loves tennis is not in the second house.
3. The person who is an artist is somewhere to the right of the person who likes Cherry smoothies.
4. The person who loves soccer is somewhere to the right of the person who is a teacher.
5. The person who loves basketball is directly left of the person who loves the vase of tulips.
6. The person who is a nurse is in the sixth house.
7. The person who loves a bouquet of daffodils and the Dragonfruit smoothie lover are next to each other.
8. The person who loves tennis is not in the third house.
9. The person who loves the boquet of iris is not in the second house.
10. The person who is a teacher is not in the second house.
11. The person who loves a carnations arrangement is the Watermelon smoothie lover.
12. There are two houses between the person who loves a bouquet of daffodils and the person who is a nurse.
13. The person who loves volleyball is the Dragonfruit smoothie lover.
14. Peter is the person who is a nurse.
15. There are two houses between the person who is a doctor and the person who is a lawyer.
16. The person who loves baseball is somewhere to the left of the person who drinks Blueberry smoothies.
17. The person who drinks Lime smoothies is somewhere to the left of Carol.
18. The person who loves the vase of tulips is the Desert smoothie lover.
19. The person who drinks Blueberry smoothies is Alice.
20. There is one house between the person who is an artist and Arnold.
21. Eric is directly left of Arnold.
22. There is one house between the person who is a doctor and Alice.
23. The person who loves the boquet of lilies is in the first house.
24. The person who is a doctor is not in the fifth house.
 What is the value of attribute FavoriteSport for the person whose attribute Flower is iris? Please reason step by step, and put your final answer within \boxed{}

Answer: volleyball


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`, `Arnold`, `Eric`, `Peter`
 - People have unique favorite book genres: `romance`, `mystery`, `biography`, `fantasy`, `science fiction`
 - Each person has a unique birthday month: `sept`, `feb`, `jan`, `mar`, `april`
 - Each person prefers a unique type of vacation: `mountain`, `beach`, `city`, `camping`, `cruise`
 - The people keep unique animals: `horse`, `bird`, `fish`, `dog`, `cat`

## Clues:
1. The person whose birthday is in April is the person who loves mystery books.
2. The person whose birthday is in March is somewhere to the left of the person who loves mystery books.
3. The person who loves beach vacations is Arnold.
4. The person who loves beach vacations is the person whose birthday is in January.
5. The bird keeper is directly left of Peter.
6. The person who loves science fiction books is somewhere to the left of the person whose birthday is in February.
7. The fish enthusiast is somewhere to the right of Bob.
8. The fish enthusiast is Eric.
9. The fish enthusiast is the person who loves fantasy books.
10. The person who enjoys mountain retreats is directly left of the person whose birthday is in April.
11. The person whose birthday is in April is the person who enjoys camping trips.
12. The person whose birthday is in September is the person who loves science fiction books.
13. The cat lover is the person who prefers city breaks.
14. The person who loves romance books is somewhere to the right of the person who loves science fiction books.
15. The cat lover is the person whose birthday is in February.
16. The person who keeps horses is Peter.
 What is the value of attribute Name for the person whose attribute Birthday is sept? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter