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`, `Bob`, `Arnold`, `Carol`, `Alice`
 - Everyone has a favorite smoothie: `cherry`, `blueberry`, `dragonfruit`, `watermelon`, `lime`, `desert`
 - The people keep unique animals: `bird`, `cat`, `dog`, `rabbit`, `horse`, `fish`
 - The mothers' names in different houses are unique: `Sarah`, `Holly`, `Janelle`, `Aniya`, `Kailyn`, `Penny`
 - They all have a unique favorite flower: `lilies`, `iris`, `carnations`, `tulips`, `roses`, `daffodils`
 - Each person has an occupation: `lawyer`, `doctor`, `teacher`, `engineer`, `artist`, `nurse`

## Clues:
1. The person who loves a bouquet of daffodils is The person whose mother's name is Holly.
2. The person who likes Cherry smoothies is not in the third house.
3. The person who is a nurse is directly left of Peter.
4. The person who is an artist is the person who loves the rose bouquet.
5. The person who drinks Lime smoothies is not in the fifth house.
6. The cat lover is The person whose mother's name is Sarah.
7. Bob is the Desert smoothie lover.
8. The Dragonfruit smoothie lover is in the sixth house.
9. The person who loves the boquet of lilies and The person whose mother's name is Penny are next to each other.
10. Peter is the bird keeper.
11. The person whose mother's name is Kailyn is the person who loves the boquet of iris.
12. Carol is somewhere to the left of the person who likes Cherry smoothies.
13. The person who is a doctor is directly left of The person whose mother's name is Holly.
14. Bob is The person whose mother's name is Janelle.
15. Arnold is in the third house.
16. Alice is the person who is an engineer.
17. The Dragonfruit smoothie lover is the person who is an artist.
18. The dog owner is directly left of the person who is a teacher.
19. The person who keeps horses is The person whose mother's name is Aniya.
20. The person who loves the boquet of lilies is directly left of the person who loves a carnations arrangement.
21. There is one house between the Desert smoothie lover and the person who loves a carnations arrangement.
22. The person who drinks Lime smoothies is somewhere to the right of The person whose mother's name is Aniya.
23. The person whose mother's name is Kailyn is directly left of the fish enthusiast.
24. The Watermelon smoothie lover is the rabbit owner.
 What is the value of attribute House for the person whose attribute Flower is daffodils? Please reason step by step, and put your final answer within \boxed{}

Answer: 5


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Carol`, `Alice`, `Eric`, `Peter`, `Arnold`, `Bob`
 - The mothers' names in different houses are unique: `Penny`, `Janelle`, `Aniya`, `Sarah`, `Holly`, `Kailyn`
 - Everyone has a unique favorite cigar: `blends`, `dunhill`, `blue master`, `prince`, `yellow monster`, `pall mall`
 - Each person has a unique type of pet: `cat`, `dog`, `rabbit`, `hamster`, `bird`, `fish`
 - The people keep unique animals: `bird`, `horse`, `cat`, `rabbit`, `dog`, `fish`
 - Everyone has a favorite smoothie: `desert`, `watermelon`, `lime`, `cherry`, `blueberry`, `dragonfruit`

## Clues:
1. The dog owner is not in the third house.
2. The fish enthusiast is not in the fourth house.
3. The person who owns a dog is Eric.
4. The cat lover is not in the second house.
5. The person who smokes Blue Master is somewhere to the right of The person whose mother's name is Sarah.
6. The cat lover is not in the fourth house.
7. There are two houses between Carol and the person who owns a rabbit.
8. The person whose mother's name is Penny is the person with a pet hamster.
9. The person whose mother's name is Kailyn is somewhere to the right of the person with a pet hamster.
10. The dog owner and the person who drinks Lime smoothies are next to each other.
11. The Prince smoker is somewhere to the right of The person whose mother's name is Janelle.
12. There is one house between The person whose mother's name is Penny and Bob.
13. There are two houses between the person partial to Pall Mall and The person whose mother's name is Penny.
14. Peter is somewhere to the left of the person who drinks Lime smoothies.
15. The bird keeper is the Watermelon smoothie lover.
16. The person with a pet hamster is the Prince smoker.
17. The person who smokes Yellow Monster is the person who drinks Lime smoothies.
18. The person whose mother's name is Sarah is the person who smokes Yellow Monster.
19. The Dunhill smoker is somewhere to the left of the Watermelon smoothie lover.
20. The person whose mother's name is Holly is directly left of the person who owns a dog.
21. The bird keeper is The person whose mother's name is Kailyn.
22. The person whose mother's name is Sarah is not in the third house.
23. The person who smokes many unique blends is the rabbit owner.
24. The person who has a cat is somewhere to the right of the person with an aquarium of fish.
25. The person who smokes Yellow Monster is Eric.
26. The person who keeps a pet bird is the Desert smoothie lover.
27. Alice is The person whose mother's name is Kailyn.
28. The Dragonfruit smoothie lover is Carol.
29. The person who keeps horses is the person who likes Cherry smoothies.
 What is the value of attribute Cigar for the person whose attribute Animal is horse? Please reason step by step, and put your final answer within \boxed{}

Answer: prince


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

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

Answer: Kailyn


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Eric`, `Alice`, `Peter`
 - Each mother is accompanied by their child: `Samantha`, `Meredith`, `Bella`, `Fred`
 - Everyone has a favorite smoothie: `dragonfruit`, `cherry`, `watermelon`, `desert`
 - Everyone has something unique for lunch: `stew`, `grilled cheese`, `spaghetti`, `pizza`
 - The mothers' names in different houses are unique: `Kailyn`, `Holly`, `Janelle`, `Aniya`
 - They all have a unique favorite flower: `daffodils`, `carnations`, `roses`, `lilies`

## Clues:
1. The Watermelon smoothie lover is the person's child is named Bella.
2. The person whose mother's name is Aniya and the person's child is named Fred are next to each other.
3. Alice is the person's child is named Meredith.
4. Eric is the person who likes Cherry smoothies.
5. The person who loves a bouquet of daffodils is directly left of The person whose mother's name is Janelle.
6. The person who loves the spaghetti eater is in the first house.
7. The person who likes Cherry smoothies is the person who loves the boquet of lilies.
8. The person's child is named Meredith is The person whose mother's name is Kailyn.
9. There is one house between The person whose mother's name is Kailyn and The person whose mother's name is Janelle.
10. Arnold is in the second house.
11. The person who loves eating grilled cheese is somewhere to the right of The person whose mother's name is Aniya.
12. The person whose mother's name is Janelle is somewhere to the right of The person whose mother's name is Kailyn.
13. The person who loves the stew is the person who loves a carnations arrangement.
14. Eric is somewhere to the left of the Dragonfruit smoothie lover.
 What is the value of attribute Mother for the person whose attribute Smoothie is dragonfruit? Please reason step by step, and put your final answer within \boxed{}

Answer: Holly


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`, `Carol`, `Peter`, `Eric`, `Bob`, `Alice`
 - Each person lives in a unique style of house: `ranch`, `colonial`, `modern`, `craftsman`, `mediterranean`, `victorian`
 - Everyone has something unique for lunch: `pizza`, `stew`, `spaghetti`, `grilled cheese`, `stir fry`, `soup`
 - Each person prefers a unique type of vacation: `cultural`, `cruise`, `mountain`, `camping`, `city`, `beach`
 - People have unique heights: `average`, `very tall`, `very short`, `short`, `tall`, `super tall`
 - Everyone has a unique favorite cigar: `yellow monster`, `prince`, `dunhill`, `pall mall`, `blue master`, `blends`

## Clues:
1. Alice is in the fifth house.
2. The person who loves stir fry is the person living in a colonial-style house.
3. Alice is the person who loves the spaghetti eater.
4. Arnold is the person who loves the stew.
5. There is one house between the person who has an average height and Peter.
6. The person in a Craftsman-style house is not in the third house.
7. The person who has an average height is the person who loves stir fry.
8. The person who loves beach vacations is the person in a ranch-style home.
9. Eric is in the fourth house.
10. There is one house between the person living in a colonial-style house and the person who enjoys camping trips.
11. The person who enjoys mountain retreats is the person who smokes Yellow Monster.
12. The person who enjoys mountain retreats is the person who is very tall.
13. The person who enjoys mountain retreats and the Dunhill smoker are next to each other.
14. The person who loves the spaghetti eater is the person residing in a Victorian house.
15. The person who is tall is the person who loves beach vacations.
16. The person who is tall is somewhere to the left of the person residing in a Victorian house.
17. The person who loves stir fry is directly left of Bob.
18. The person in a modern-style house is somewhere to the left of Alice.
19. The person in a Craftsman-style house is somewhere to the left of the person who is short.
20. The person who loves stir fry is somewhere to the left of the Prince smoker.
21. There are two houses between the person who loves eating grilled cheese and the person who is super tall.
22. The person in a ranch-style home is the person who smokes Blue Master.
23. The person who smokes many unique blends is directly left of the person who smokes Blue Master.
24. The person who goes on cultural tours is the person who is a pizza lover.
25. The person who is a pizza lover is somewhere to the left of the person who likes going on cruises.
 What is the value of attribute Food for the person whose attribute Cigar is pall mall? 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: `Carol`, `Arnold`, `Eric`, `Alice`, `Bob`, `Peter`
 - Each person has a unique level of education: `bachelor`, `high school`, `master`, `associate`, `trade school`, `doctorate`
 - Each person has a favorite color: `purple`, `yellow`, `white`, `red`, `blue`, `green`
 - The people are of nationalities: `swede`, `dane`, `norwegian`, `chinese`, `brit`, `german`
 - Each person has a unique birthday month: `feb`, `may`, `sept`, `april`, `jan`, `mar`

## Clues:
1. The person who loves yellow is somewhere to the right of the person whose birthday is in January.
2. Bob is the person who loves white.
3. The person who loves blue is the person whose birthday is in April.
4. The person with an associate's degree is Eric.
5. The person whose favorite color is green is the person whose birthday is in May.
6. The person who loves yellow is not in the fifth house.
7. The person with an associate's degree is directly left of the Swedish person.
8. The person with a doctorate is the Dane.
9. The person whose birthday is in January is somewhere to the right of the person whose favorite color is green.
10. There are two houses between the British person and the person whose birthday is in February.
11. The person whose birthday is in February is in the fourth house.
12. Alice is the person with a high school diploma.
13. Carol is in the first house.
14. Bob is the German.
15. The person whose birthday is in May is directly left of the Norwegian.
16. The person whose favorite color is red is not in the fifth house.
17. The person whose birthday is in September is in the second house.
18. There are two houses between the person whose birthday is in May and the person with a master's degree.
19. The Norwegian is Peter.
20. The person who attended trade school is the person who loves purple.
 What is the value of attribute House for the person whose attribute Name is Peter? Please reason step by step, and put your final answer within \boxed{}

Answer: 2


There are 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`, `Arnold`, `Eric`, `Bob`
 - The mothers' names in different houses are unique: `Aniya`, `Penny`, `Holly`, `Kailyn`, `Janelle`
 - The people are of nationalities: `swede`, `brit`, `dane`, `norwegian`, `german`
 - Each person has a unique birthday month: `mar`, `april`, `feb`, `sept`, `jan`

## Clues:
1. The Dane is the person whose birthday is in January.
2. Alice is the British person.
3. Eric is not in the second house.
4. The person whose birthday is in January is somewhere to the left of Arnold.
5. The British person is somewhere to the left of The person whose mother's name is Janelle.
6. Peter is the German.
7. The person whose mother's name is Aniya is Peter.
8. The person whose birthday is in March is The person whose mother's name is Janelle.
9. The person whose mother's name is Kailyn is the Dane.
10. The British person is in the third house.
11. The person whose birthday is in January is somewhere to the left of The person whose mother's name is Penny.
12. The British person is directly left of the person whose birthday is in February.
13. The Dane is somewhere to the left of the Norwegian.
14. Eric is the person whose birthday is in April.
 What is the value of attribute Mother for the person whose attribute Nationality is norwegian? Please reason step by step, and put your final answer within \boxed{}

Answer: Janelle


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Arnold`, `Eric`
 - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Aniya`
 - People have unique favorite music genres: `classical`, `pop`, `rock`
 - They all have a unique favorite flower: `carnations`, `daffodils`, `lilies`
 - People have unique heights: `average`, `very short`, `short`
 - Everyone has a unique favorite cigar: `prince`, `pall mall`, `blue master`

## Clues:
1. Peter is the person who has an average height.
2. The person who smokes Blue Master is the person who is short.
3. The person who loves a bouquet of daffodils is directly left of the person partial to Pall Mall.
4. The person who loves pop music is the person who loves a bouquet of daffodils.
5. The person whose mother's name is Janelle is the person who loves the boquet of lilies.
6. The person whose mother's name is Aniya is in the first house.
7. The person who has an average height is in the second house.
8. The person who loves pop music and the person who loves classical music are next to each other.
9. Eric is in the third house.
10. The person whose mother's name is Holly is the person who is very short.
 What is the value of attribute Cigar for the person whose attribute House is 3? Please reason step by step, and put your final answer within \boxed{}

Answer: prince


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

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

Answer: jan


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Bob`, `Eric`, `Peter`, `Arnold`
 - People have unique favorite music genres: `rock`, `pop`, `classical`, `jazz`, `hip hop`
 - People have unique hair colors: `gray`, `black`, `red`, `blonde`, `brown`
 - The people are of nationalities: `norwegian`, `german`, `dane`, `brit`, `swede`

## Clues:
1. The German is somewhere to the left of the person who loves rock music.
2. There are two houses between Alice and the British person.
3. The person who loves jazz music is the person who has gray hair.
4. There are two houses between the person who has black hair and Peter.
5. The Swedish person is the person who has red hair.
6. The person who loves pop music is somewhere to the left of Peter.
7. The person who has gray hair is the German.
8. Eric is the person who loves rock music.
9. Arnold is in the second house.
10. The person who has blonde hair is in the third house.
11. Alice is the Dane.
12. The person who loves classical music is somewhere to the left of the German.
 What is the value of attribute HairColor for the person whose attribute MusicGenre is rock? 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: `Eric`, `Alice`, `Arnold`, `Carol`, `Peter`, `Bob`
 - Each person lives in a unique style of house: `mediterranean`, `modern`, `craftsman`, `ranch`, `colonial`, `victorian`
 - People have unique favorite music genres: `country`, `hip hop`, `pop`, `jazz`, `classical`, `rock`
 - Each person has a unique hobby: `cooking`, `painting`, `photography`, `woodworking`, `gardening`, `knitting`

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

Answer: 4


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Peter`, `Arnold`, `Eric`, `Alice`
 - Everyone has something unique for lunch: `stew`, `stir fry`, `spaghetti`, `grilled cheese`, `pizza`
 - Everyone has a favorite smoothie: `watermelon`, `lime`, `desert`, `dragonfruit`, `cherry`
 - People have unique favorite book genres: `fantasy`, `biography`, `mystery`, `science fiction`, `romance`
 - Each person has a unique hobby: `photography`, `knitting`, `cooking`, `gardening`, `painting`

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

Answer: lime


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Alice`, `Carol`, `Peter`, `Bob`, `Eric`
 - The people keep unique animals: `fish`, `bird`, `rabbit`, `cat`, `horse`, `dog`
 - Each person has a unique favorite drink: `tea`, `root beer`, `water`, `milk`, `boba tea`, `coffee`
 - People use unique phone models: `iphone 13`, `google pixel 6`, `samsung galaxy s21`, `huawei p50`, `xiaomi mi 11`, `oneplus 9`
 - Each mother is accompanied by their child: `Alice`, `Fred`, `Meredith`, `Samantha`, `Timothy`, `Bella`

## Clues:
1. The tea drinker is the person who uses an iPhone 13.
2. There is one house between the dog owner and the tea drinker.
3. The fish enthusiast is somewhere to the left of the tea drinker.
4. Eric and the person's child is named Alice are next to each other.
5. The one who only drinks water is not in the third house.
6. The root beer lover is directly left of the person's child is named Samantha.
7. The person who is the mother of Timothy is the coffee drinker.
8. The fish enthusiast is directly left of the person who likes milk.
9. Peter is the person who likes milk.
10. The person who uses a OnePlus 9 is directly left of the person's child is named Alice.
11. The person who keeps horses is not in the third house.
12. The person's child is named Meredith is directly left of Bob.
13. The person's child is named Bella is the person who uses a Google Pixel 6.
14. The bird keeper is directly left of the person's child is named Meredith.
15. The person who uses a Samsung Galaxy S21 is directly left of the person's child is named Bella.
16. The one who only drinks water is somewhere to the left of the person's child is named Fred.
17. Arnold is the tea drinker.
18. The person who keeps horses is somewhere to the left of the cat lover.
19. The person who uses a Huawei P50 and Alice are next to each other.
20. Bob is directly left of the root beer lover.
21. The person who is the mother of Timothy is Eric.
 What is the value of attribute PhoneModel for the person whose attribute Name is Bob? 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: `Peter`, `Arnold`, `Carol`, `Alice`, `Bob`, `Eric`
 - Each person has a unique level of education: `bachelor`, `high school`, `doctorate`, `trade school`, `associate`, `master`
 - Each person has an occupation: `teacher`, `artist`, `nurse`, `lawyer`, `engineer`, `doctor`
 - People own unique car models: `ford f150`, `toyota camry`, `honda civic`, `chevrolet silverado`, `bmw 3 series`, `tesla model 3`
 - Each person has a unique birthday month: `sept`, `jan`, `mar`, `april`, `feb`, `may`

## Clues:
1. The person with a bachelor's degree is somewhere to the right of the person who owns a Toyota Camry.
2. The person whose birthday is in February is the person with an associate's degree.
3. The person whose birthday is in September is not in the fifth house.
4. The person who owns a BMW 3 Series is somewhere to the right of the person who is an engineer.
5. The person whose birthday is in January is Arnold.
6. The person who is an artist is directly left of the person with a doctorate.
7. The person who owns a Ford F-150 is the person who is an engineer.
8. The person who attended trade school and Eric are next to each other.
9. There is one house between the person who attended trade school and the person with a bachelor's degree.
10. The person whose birthday is in May is the person who owns a BMW 3 Series.
11. The person who owns a Chevrolet Silverado is somewhere to the left of Alice.
12. The person who is an engineer is directly left of Bob.
13. The person who owns a Honda Civic is the person whose birthday is in April.
14. The person who is an artist is the person with a high school diploma.
15. Arnold is the person who owns a Toyota Camry.
16. The person who owns a Tesla Model 3 is in the first house.
17. The person who is a doctor is somewhere to the left of the person whose birthday is in April.
18. The person who is a nurse is directly left of the person whose birthday is in September.
19. The person who is a teacher is the person with a doctorate.
20. There is one house between the person who owns a Toyota Camry and the person who owns a Honda Civic.
21. The person who owns a Tesla Model 3 is Peter.
 What is the value of attribute CarModel for the person whose attribute House is 3? Please reason step by step, and put your final answer within \boxed{}

Answer: ford f150


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`
 - People have unique heights: `very short`, `short`, `tall`, `average`
 - Each person prefers a unique type of vacation: `cruise`, `beach`, `city`, `mountain`
 - Each person has a favorite color: `green`, `red`, `yellow`, `white`
 - Each mother is accompanied by their child: `Fred`, `Bella`, `Meredith`, `Samantha`

## Clues:
1. The person who loves beach vacations is the person who is very short.
2. The person who is very short is the person who loves white.
3. The person who has an average height is the person's child is named Bella.
4. The person who has an average height is the person whose favorite color is red.
5. Peter is the person's child is named Samantha.
6. The person whose favorite color is green is directly left of the person who loves white.
7. Alice is in the third house.
8. The person who likes going on cruises is the person's child is named Bella.
9. The person who is short is the person who loves yellow.
10. The person who is very short is the person's child is named Fred.
11. Eric is the person who loves yellow.
12. The person who prefers city breaks is Eric.
13. The person who is short is somewhere to the left of the person who is tall.
 What is the value of attribute House for the person whose attribute Vacation is beach? 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: `Arnold`, `Peter`, `Bob`, `Alice`, `Eric`
 - People use unique phone models: `iphone 13`, `oneplus 9`, `samsung galaxy s21`, `google pixel 6`, `huawei p50`

## Clues:
1. Peter is in the fourth house.
2. The person who uses a OnePlus 9 is in the second house.
3. The person who uses a Huawei P50 and the person who uses a OnePlus 9 are next to each other.
4. There is one house between Alice and Eric.
5. Eric is in the third house.
6. Arnold is somewhere to the left of the person who uses a Samsung Galaxy S21.
7. Alice is somewhere to the left of the person who uses a Google Pixel 6.
8. There is one house between Alice and the person who uses a Google Pixel 6.
9. The person who uses a Samsung Galaxy S21 is not in the fourth house.
 What is the value of attribute House for the person whose attribute PhoneModel is oneplus 9? 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`, `Bob`, `Carol`, `Eric`, `Peter`, `Arnold`
 - Each person has a unique hobby: `knitting`, `woodworking`, `photography`, `cooking`, `gardening`, `painting`
 - Each person lives in a unique style of house: `ranch`, `modern`, `mediterranean`, `colonial`, `craftsman`, `victorian`
 - People have unique favorite music genres: `classical`, `jazz`, `rock`, `hip hop`, `pop`, `country`
 - People have unique hair colors: `blonde`, `red`, `gray`, `black`, `brown`, `auburn`

## Clues:
1. The woodworking hobbyist is somewhere to the right of the person living in a colonial-style house.
2. The person who loves jazz music is in the sixth house.
3. The person who has black hair is directly left of Bob.
4. The person who has blonde hair is the person living in a colonial-style house.
5. Arnold is directly left of the person in a ranch-style home.
6. The person who paints as a hobby is somewhere to the left of the photography enthusiast.
7. Peter is the person who has black hair.
8. Eric is not in the first house.
9. The person who enjoys gardening is the person who has brown hair.
10. The person who has red hair is the person who loves pop music.
11. The person in a Craftsman-style house is in the sixth house.
12. Carol is in the sixth house.
13. The person who has blonde hair is directly left of the person residing in a Victorian house.
14. The person who enjoys knitting is Bob.
15. The person who paints as a hobby is the person who has blonde hair.
16. The person who enjoys knitting is the person who has auburn hair.
17. The photography enthusiast is somewhere to the left of the person in a Craftsman-style house.
18. There is one house between the person who loves hip-hop music and the person who loves country music.
19. The person who has black hair is somewhere to the right of the person who loves hip-hop music.
20. The person who enjoys gardening is the person residing in a Victorian house.
21. The person who loves pop music is somewhere to the left of the person in a Mediterranean-style villa.
22. The person who loves rock music is in the second house.
 What is the value of attribute Hobby for the person whose attribute Name is Carol? Please reason step by step, and put your final answer within \boxed{}

Answer: woodworking


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Bob`, `Eric`, `Carol`
 - Everyone has something unique for lunch: `stir fry`, `grilled cheese`, `spaghetti`, `pizza`, `soup`, `stew`
 - People use unique phone models: `xiaomi mi 11`, `iphone 13`, `oneplus 9`, `google pixel 6`, `samsung galaxy s21`, `huawei p50`
 - People have unique favorite music genres: `pop`, `country`, `classical`, `jazz`, `rock`, `hip hop`
 - Each person has a unique favorite drink: `water`, `boba tea`, `milk`, `root beer`, `tea`, `coffee`
 - Each person has an occupation: `nurse`, `lawyer`, `artist`, `doctor`, `teacher`, `engineer`

## Clues:
1. The tea drinker is somewhere to the right of the person who is a teacher.
2. Eric is the person who uses a Google Pixel 6.
3. The person who loves the spaghetti eater and the person who loves hip-hop music are next to each other.
4. The boba tea drinker is somewhere to the left of the person who uses a Google Pixel 6.
5. The person who uses a Huawei P50 is somewhere to the left of the person who uses a OnePlus 9.
6. The person who is a pizza lover is the person who loves rock music.
7. The person who is a pizza lover is somewhere to the right of the person who loves the soup.
8. The person who likes milk is somewhere to the left of the person who loves hip-hop music.
9. The person who uses a OnePlus 9 is Arnold.
10. The person who is a lawyer is the person who loves stir fry.
11. The person who is an artist is Alice.
12. Bob is the person who loves classical music.
13. The person who loves rock music is directly left of the person who loves classical music.
14. The person who is a doctor is the person who uses a Huawei P50.
15. Bob is the root beer lover.
16. There are two houses between the person who is an engineer and the person who uses a OnePlus 9.
17. Eric is the person who loves jazz music.
18. The person who uses a Xiaomi Mi 11 is the person who is an artist.
19. Carol is directly left of the person who uses a Huawei P50.
20. The person who is a lawyer is the coffee drinker.
21. The person who loves eating grilled cheese is the person who loves pop music.
22. The person who loves hip-hop music is the person who uses a Samsung Galaxy S21.
23. The coffee drinker is somewhere to the left of the person who likes milk.
 What is the value of attribute Food for the person whose attribute Drink is milk? Please reason step by step, and put your final answer within \boxed{}

Answer: pizza


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 Drink for the person whose attribute Name is Arnold? Please reason step by step, and put your final answer within \boxed{}

Answer: root beer


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`
 - Everyone has something unique for lunch: `grilled cheese`, `stew`, `pizza`, `spaghetti`
 - People have unique hair colors: `blonde`, `black`, `red`, `brown`
 - Each person has a favorite color: `red`, `white`, `yellow`, `green`
 - The mothers' names in different houses are unique: `Holly`, `Aniya`, `Janelle`, `Kailyn`

## Clues:
1. Alice is the person whose favorite color is red.
2. The person who has black hair is the person who loves the stew.
3. The person who loves white is Arnold.
4. The person whose favorite color is red and The person whose mother's name is Kailyn are next to each other.
5. The person who loves yellow and the person who has black hair are next to each other.
6. The person who is a pizza lover is somewhere to the left of the person whose favorite color is green.
7. Peter is The person whose mother's name is Janelle.
8. The person who has blonde hair is the person who loves white.
9. The person who has red hair is Alice.
10. The person who loves white is somewhere to the right of the person who loves eating grilled cheese.
11. The person who loves white is not in the second house.
12. The person whose mother's name is Kailyn is the person who is a pizza lover.
13. The person whose mother's name is Holly is the person who has red hair.
 What is the value of attribute Food for the person whose attribute Color is green? Please reason step by step, and put your final answer within \boxed{}

Answer: stew


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

## Clues:
1. The Chinese is somewhere to the right of the Swedish person.
2. The Desert smoothie lover is the German.
3. The person who drinks Blueberry smoothies is Bob.
4. The person who drinks Blueberry smoothies is somewhere to the right of Eric.
5. Peter and Carol are next to each other.
6. The Swedish person is the Dragonfruit smoothie lover.
7. Arnold is the Norwegian.
8. The Dane is the person who likes Cherry smoothies.
9. Peter is directly left of the Watermelon smoothie lover.
10. Arnold is not in the third house.
11. The Norwegian is somewhere to the left of the Chinese.
12. The Dane is in the first house.
13. The German is in the sixth house.
14. The Chinese is not in the fifth house.
 What is the value of attribute House for the person whose attribute Name is Peter? Please reason step by step, and put your final answer within \boxed{}

Answer: 3


16. In tetrahedron $ABCD$, the lengths of edges $AB$ and $CD$ are $a$ and $b$ respectively, and the distance between the midpoints of these two edges is $d$. Then the maximum volume of tetrahedron $ABCD$ is $\qquad$

Answer: \dfrac{abd}{6}


4. (13 points) In a dance ensemble, there are 8 boys and 20 girls. Some of them form mixed (boy and girl) dance pairs. It is known that in each pair, at least one of the partners does not belong to any other pair. What is the maximum number of dance pairs that can be formed in this ensemble?

Answer: 26


The 64th question: Let $S=\left\{a_{1}, a_{2}, \ldots, a_{n}\right\}$ be a non-empty family of subsets $U$ with the property: if $A \in U, A \subseteq B$, then $B \in U$; and let $S$ be a non-empty family of subsets $V$ with the property: if $A \in V, A \supseteq B$, then $B \in V$. Find the maximum possible value of $\frac{|U \cap V|}{|U| \cdot|V|}$.

Answer: \dfrac{1}{2^n}


13th Putnam 1953 Problem B4 R is the reals. S is a surface in R 3 containing the point (1, 1, 1) such that the tangent plane at any point P ∈ S cuts the axes at three points whose orthocenter is P. Find the equation of S.

Answer: x^2 + y^2 + z^2 = 3


88. Xiaoming and his sister Xiaomei go to two different schools, which are located to the east and west of their home, respectively. Xiaoming leaves home 6 minutes before his sister Xiaomei starts for her school. Two minutes after Xiaomei leaves, their father, who is at home, realizes that both Xiaoming and Xiaomei have forgotten their homework. So, he sets out on a bike to catch up with Xiaoming and Xiaomei to deliver their homework. It is known that the father's speed is three times that of Xiaoming and twice that of Xiaomei. Throughout the process of delivering the homework, Xiaomei and Xiaoming continue moving forward and do not reach their schools. How many minutes at least will the father need from the time he sets out until he returns home? $\qquad$

Answer: 16


23. As shown in the figure, a regular pentagon $A B C E F$ and a rectangle $C E H G$ are joined together, the extensions of $B C$ and $F E$ intersect exactly at point $D$ on $G H$. If the area of quadrilateral $A B D F$ is 2022, then the area of quadrilateral $B C E F$ is $\qquad$

Answer: 1011


4. Let $n, b_{0} \in \mathbf{N}^{*}, n \geqslant 2, 2 \leqslant b_{0} \leqslant 2 n-1$. The sequence $\left\{b_{i}\right\}$ is defined as follows:
$$b_{i+1}=\left\{\begin{array}{ll}
2 b_{i}-1, & b_{i} \leqslant n, \\
2 b_{i}-2 n, & b_{i}>n,
\end{array} \quad i=0,1,2, \cdots\right.$$

Let $p\left(b_{0}, n\right)$ denote the smallest index $p$ such that $b_{p}=b_{0}$.
(1) For $k \in \mathbf{N}^{*}$, find the values of $p\left(2,2^{k}\right)$ and $p\left(2,2^{k}+1\right)$;
(2) Prove that for any $n$ and $b_{0}$, $p\left(b_{0}, n\right) \mid p(2, n)$.

Answer: k + 1


9. (This sub-question is worth 15 points) Let $a_{n}=2^{n}, n \in \mathbf{N}^{+}$, and the sequence $\left\{b_{n}\right\}$ satisfies $b_{1} a_{n}+b_{2} a_{n-1}+\cdots+b_{n} a_{1}=2^{n}-\frac{n}{2}-1$. Find the sum of the first $n$ terms of the sequence $\left\{a_{n} \cdot b_{n}\right\}$.

Answer: \dfrac{(n - 1)2^{n} + 1}{2}


9. Given that a line passing through the focus $F$ of the parabola $y^{2}=4 x$ intersects the parabola at points $M$ and $N$, and $E(m, 0)$ is a point on the $x$-axis. The extensions of $M E$ and $N E$ intersect the parabola at points $P$ and $Q$ respectively. If the slopes $k_{1}$ and $k_{2}$ of $M N$ and $P Q$ satisfy $k_{1}=3 k_{2}$, then the value of the real number $m$ is

Answer: 3


B3. A figure consists of a square $A B C D$ and a semicircle with diameter $A D$ outside the square. The side of the square has length 1. What is the radius of the circumscribed circle of the figure?

![](https://cdn.mathpix.com/cropped/2024_04_17_fae9e9df1e99e6590d6bg-2.jpg?height=343&width=346&top_left_y=1753&top_left_x=1392)

Answer: \dfrac{5}{6}


11.5. Each cell of a $7 \mathrm{x} 8$ table (7 rows and 8 columns) is painted in one of three colors: red, yellow, or green. In each row, the number of red cells is not less than the number of yellow cells and not less than the number of green cells, and in each column, the number of yellow cells is not less than the number of red cells and not less than the number of green cells. How many green cells can there be in such a table?

Answer: 8


## Task 4 - 040814

The number $62^{* *} 427$ is divisible by 99.

Determine the missing digits, and explain how you found them! How many solutions are there?

Answer: 6224427


2.21. The height of the cylinder is $H$, and the radius of its base is $R$. Inside the cylinder, a pyramid is placed, the height of which coincides with the generatrix $A A_{1}$ of the cylinder, and the base is an isosceles triangle $A B C(A B=A C)$ inscribed in the base of the cylinder. Find the lateral surface area of the pyramid if $\angle A=120^{\circ}$.

Answer: R H + \dfrac{R \sqrt{3}}{4} \sqrt{4 H^{2} + R^{2}}


4. Petya wants to test the knowledge of his brother Kolya, the winner of the "Higher Test" mathematics Olympiad. For this, Petya thought of three natural numbers $a, b, c$, and calculated $x = \text{GCD}(a, b)$, $y = \text{GCD}(b, c)$, $z = \text{GCD}(c, a)$. Then he wrote three rows of five numbers each on the board:

$$
\begin{gathered}
6, 8, 12, 18, 24 \\
14, 20, 28, 44, 56 \\
5, 15, 18, 27, 42
\end{gathered}
$$

Petya informed Kolya that one of the numbers in the first row is $x$, one of the numbers in the second row is $y$, and one of the numbers in the third row is $z$, and asked him to guess the numbers $x, y, z$. After thinking for a few minutes, Kolya managed to solve the problem, correctly naming all three numbers. Name them and you. Prove that there is a unique such triplet $(x, y, z)$.

Answer: (8, 14, 18)


4. As shown in Figure 1, in the cube $A B C D-A_{1} B_{1} C_{1} D_{1}$, the size of the dihedral angle $B-A_{1} C-D$ is $\qquad$ .

Answer: 120^\circ


A retired history teacher who lives in the former Berwick area, now divided into South Berwick and North Berwick, decides to visit both towns to deliver history talks. On Monday, the teacher travels from South Berwick to North Berwick, a distance of 5 miles, and delivers a talk at the local library. On Tuesday, the teacher travels back to South Berwick to give another talk at the community center, which is another 5 miles. On Wednesday, the teacher visits a museum in South Berwick and walks 2 miles to and from the museum. On Thursday, the teacher goes to North Berwick again for a special history event, traveling another 5 miles one way. How many total miles did the retired history teacher travel by the end of Thursday?

Answer: 17


Your tech-savvy cousin recently ran a successful crowdfunding campaign to launch a new gadget. They set an initial funding goal of $10,000, and they surpassed their goal by raising 150% of the target. During the campaign, they received contributions from 200 backers. Your cousin also provided tips and tricks, which led to an additional 50 backers joining in the last week. Each of these new backers contributed an average of $40.

How much money did your cousin raise in total from the crowdfunding campaign?

Answer: 17000


Sarah is a successful businesswoman who donates money to a local animal shelter every month. This month, she decided to contribute 20% of her monthly business income, which amounts to $4,000. In addition to her monthly donation, she also decided to help with the shelter's new project by contributing an extra $500. How much money, in total, did Sarah donate to the shelter this month?

Answer: 4500


A game publisher, GameBurst, is determined to surpass the executive's company, PlayMax, in terms of market success. Last year, PlayMax sold 1,200,000 units of their top game. GameBurst plans to release a new game and aims to sell 25% more units than PlayMax did last year.

To achieve this, GameBurst decides to launch a marketing campaign. They estimate that for every $10,000 spent on marketing, they will increase sales by 2,500 units. GameBurst has already budgeted $200,000 for marketing.

Calculate the total number of units GameBurst expects to sell after accounting for the units increased by their marketing campaign. Will they surpass PlayMax's sales from last year?

Answer: 1250000


Carlos is a political columnist living in Puerto Rico, and he writes articles for a local newspaper. Each week, he writes about the latest political developments both locally and internationally. On average, Carlos writes 4 articles per week. Each article takes him 3 hours to research and 2 hours to write. Additionally, he spends 1 hour each week reviewing feedback from readers.

This month, Carlos has decided to dedicate extra time to cover an important political event occurring in the United States. He plans to write 2 additional articles about this event, and each of these articles will take him an extra hour to research and write due to the complexity of the subject.

Calculate the total number of hours Carlos will spend on his column-related work in a typical 4-week month, including the time for the additional articles on the political event.

Answer: 96


As an event planner, you are coordinating an annual construction trade show. This year, the event will feature 8 different construction companies, each requiring a booth space measuring 5 meters by 5 meters. You have reserved a large hall that is 50 meters long and 30 meters wide for the event.

Additionally, you need to allocate a 5-meter-wide walkway surrounding all the booths to ensure easy access for attendees. After setting up the booths and walkways, you want to set up a stage area for presentations.

Calculate the remaining area available for the stage after accounting for the booth spaces and walkways. How much space in square meters will you have left for the stage?

Answer: 900


In the state of Karnataka, there are 224 assembly constituencies. During the last election, Party A won 56 seats, Party B won 78 seats, and Party C won 62 seats. The remaining seats were won by independent candidates. If the total number of votes cast in the election was 10,000,000 and each constituency had an equal number of votes, how many votes, on average, did independent candidates receive per constituency they won?

Answer: 44643


Jamie, a young software developer, is launching a new social media platform specifically for dog lovers. On the first day, 120 dog lovers signed up. Jamie noticed that each user, on average, posted 3 photos of their dogs. The next day, the platform's user base grew by 50%, and each new user posted an average of 4 photos. How many total dog photos were posted on the platform by the end of the second day?

Answer: 600


Jamie, a history enthusiast with a passion for social and educational movements, is organizing a series of educational talks about influential figures in history. Jamie has invited 5 speakers, each specializing in a different movement: civil rights, feminism, environmentalism, educational reform, and labor rights.

Each speaker will give two talks, one in the morning and one in the afternoon. Jamie plans to offer 3 history-themed snacks for each talk: one representing the era, one representing the movement, and one representing the speaker's favorite historical figure.

If each snack costs $2 and Jamie expects 20 people to attend each talk, how much will Jamie spend on snacks for all the talks combined?

Answer: 1200


Mr. Thompson is a firm believer in traditional gasoline cars and refuses to embrace electric vehicles. He drives his car 20 miles to work every day, five days a week. His car consumes 1 gallon of gasoline for every 25 miles driven, and the current price of gasoline is $4 per gallon.

Calculate how much Mr. Thompson spends on gasoline for his work commute in one week.

Answer: 32


Jamie is a community organizer who is campaigning for a new after-school program. To gain support, Jamie decides to distribute flyers on a bus route that is popular with local families. Jamie talks to the bus driver, who agrees to help by allowing Jamie to leave flyers on the bus every day for a week.

The bus makes 5 trips each day, and Jamie places 12 flyers on the bus at the beginning of each trip. After the first trip each day, Jamie notices that half of the flyers have already been taken by passengers.

If Jamie wants to ensure that there are always 12 flyers at the start of each trip, how many additional flyers does Jamie need to bring to the bus every morning to replenish the ones taken by passengers throughout the day?

Answer: 24


Alex, a private equity professional, is looking to acquire undervalued companies for restructuring. He found a company that is currently valued at $2 million. After evaluating the company's potential, Alex believes that by investing $500,000 in restructuring, the company's value could increase by 60%. However, he also needs to pay an acquisition fee of $200,000. If Alex proceeds with the acquisition and restructuring, what will be the new value of the company after these changes?

Answer: 3200000


A large-scale commercial beef producer, Farmer Joe, is trying to secure a contract with a big distributor. For the contract, Farmer Joe needs to supply 1,200 pounds of beef each week. Each cow on his farm provides an average of 500 pounds of beef. Farmer Joe has 10 cows ready for processing each week. However, he competes with another beef producer who also wants the contract and who can supply 1,300 pounds of beef weekly.

Farmer Joe decides to increase his production by buying more cows. If each new cow also provides an average of 500 pounds of beef, how many additional cows does Farmer Joe need to buy to meet or exceed the other producer's weekly supply of 1,300 pounds and secure the contract?

Answer: 0


Alex is a practical-minded economics student who loves to track his spending and investments. He decides to start investing in a small business project and wants to calculate his potential profits. Alex invests $500 in the project, which promises a 10% return monthly. He also incurs a monthly cost of $50 for project-related expenses. After four months, Alex wants to know his total profit. Calculate Alex's total profit after four months, considering both the returns on his investment and the monthly expenses.

Answer: 32.05


Alex is an old-school PHP programmer who started working in the field in the year 2001. Each year, Alex writes an average of 500 lines of PHP code for various projects. In 2005, Alex decided to increase the number of lines he writes each year by 100. How many lines of PHP code has Alex written by the end of the year 2010?

Answer: 7100


Clara is a successful fashion entrepreneur who has built a global brand known for its unique and visually striking designs. She is preparing for the launch of her latest clothing collection, which will be released simultaneously in 5 different countries. In each country, she plans to release 120 pieces of clothing in 3 different designs. For each design, she wants to use 4 unique colors. If Clara needs to order fabric rolls and each roll can produce enough material for 10 pieces of clothing in one color, how many fabric rolls does she need to order in total to cover all the countries and designs?

Answer: 60


As a member of a competitive chess club, Alex enjoys playing intense games that require strategic thinking and careful planning. During a weekend chess tournament, Alex plays a total of 12 games. He wins twice as many games as he loses, and he draws in the remaining games. If a win earns him 3 points, a draw earns 1 point, and a loss earns 0 points, how many total points does Alex score in the tournament?

Answer: 18


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Arnold`, `Carol`, `Peter`, `Eric`, `Bob`
 - Each person has a unique type of pet: `cat`, `bird`, `fish`, `dog`, `hamster`, `rabbit`
 - People have unique heights: `super tall`, `average`, `tall`, `very short`, `very tall`, `short`
 - People have unique favorite sports: `baseball`, `tennis`, `soccer`, `swimming`, `basketball`, `volleyball`

## Clues:
1. There is one house between the person who has an average height and the person who is short.
2. The person with an aquarium of fish is in the fifth house.
3. The person who has a cat is the person who is tall.
4. The person who is very tall is the person who loves soccer.
5. Peter is in the first house.
6. The person who loves tennis is in the sixth house.
7. Carol is somewhere to the right of the person who is very tall.
8. The person who loves volleyball is directly left of the person who loves soccer.
9. The person who loves baseball is directly left of the person who is super tall.
10. Carol and Bob are next to each other.
11. The person who is super tall is not in the sixth house.
12. The person who is short is not in the fourth house.
13. There is one house between the person who loves swimming and Bob.
14. The person who loves basketball is somewhere to the left of the person who owns a dog.
15. The person who owns a rabbit is somewhere to the left of the person who is short.
16. The person who keeps a pet bird is the person who is short.
17. Arnold is not in the second house.
18. Bob is directly left of Eric.
19. The person who owns a rabbit and the person who is very tall are next to each other.
 What is the value of attribute FavoriteSport for the person whose attribute Height is short? Please reason step by step, and put your final answer within \boxed{}

Answer: swimming


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Arnold`, `Peter`
 - Everyone has a favorite smoothie: `desert`, `watermelon`, `cherry`
 - People have unique favorite book genres: `science fiction`, `romance`, `mystery`

## Clues:
1. The person who likes Cherry smoothies is somewhere to the left of the person who loves mystery books.
2. Arnold is the person who loves mystery books.
3. The person who loves science fiction books is not in the first house.
4. The Desert smoothie lover is directly left of the person who loves mystery books.
5. Peter is in the first house.
 What is the value of attribute House for the person whose attribute Smoothie is watermelon? Please reason step by step, and put your final answer within \boxed{}

Answer: 3


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Peter`
 - People have unique heights: `tall`, `very short`, `average`, `short`
 - Each person has a unique favorite drink: `tea`, `coffee`, `water`, `milk`
 - Each mother is accompanied by their child: `Fred`, `Meredith`, `Bella`, `Samantha`
 - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Aniya`, `Kailyn`

## Clues:
1. The person who is tall is Arnold.
2. The person's child is named Samantha is the tea drinker.
3. The person whose mother's name is Holly is the coffee drinker.
4. The person's child is named Samantha and The person whose mother's name is Holly are next to each other.
5. The person's child is named Meredith and the person who is very short are next to each other.
6. The person's child is named Samantha is The person whose mother's name is Aniya.
7. The person who likes milk is the person who is short.
8. Alice is the person's child is named Fred.
9. Peter and the person who is very short are next to each other.
10. The coffee drinker is somewhere to the right of the person's child is named Samantha.
11. Eric is the person who is short.
12. The person whose mother's name is Janelle is somewhere to the left of The person whose mother's name is Kailyn.
13. Alice is The person whose mother's name is Kailyn.
14. The person's child is named Meredith is not in the first house.
 What is the value of attribute Mother for the person whose attribute House is 1? Please reason step by step, and put your final answer within \boxed{}

Answer: Janelle


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Bob`, `Alice`, `Peter`, `Eric`
 - People have unique favorite sports: `baseball`, `swimming`, `tennis`, `soccer`, `basketball`
 - People have unique heights: `tall`, `short`, `average`, `very tall`, `very short`
 - Each person prefers a unique type of vacation: `city`, `beach`, `mountain`, `cruise`, `camping`
 - Each person lives in a unique style of house: `modern`, `victorian`, `craftsman`, `colonial`, `ranch`

## Clues:
1. Arnold is the person who has an average height.
2. Arnold is not in the first house.
3. The person who loves soccer is the person who likes going on cruises.
4. The person who is very tall is the person who loves basketball.
5. The person who is very short is in the third house.
6. The person in a modern-style house is somewhere to the right of the person who loves soccer.
7. The person who enjoys camping trips is in the fourth house.
8. The person who is short is not in the fourth house.
9. The person living in a colonial-style house is the person who prefers city breaks.
10. The person who loves tennis is directly left of Eric.
11. Alice and the person in a ranch-style home are next to each other.
12. The person in a modern-style house is somewhere to the left of the person in a ranch-style home.
13. The person who enjoys mountain retreats and the person in a Craftsman-style house are next to each other.
14. The person in a Craftsman-style house is somewhere to the left of Peter.
15. The person who loves basketball is the person living in a colonial-style house.
16. The person who loves swimming is the person who enjoys mountain retreats.
17. The person in a Craftsman-style house is the person who loves tennis.
18. Eric is not in the third house.
 What is the value of attribute HouseStyle for the person whose attribute Vacation is mountain? Please reason step by step, and put your final answer within \boxed{}

Answer: modern


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

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

Answer: fish


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Arnold`, `Peter`, `Alice`, `Eric`
 - Each person has a unique favorite drink: `milk`, `root beer`, `coffee`, `water`, `tea`
 - Each person has a unique type of pet: `dog`, `bird`, `hamster`, `cat`, `fish`
 - Each mother is accompanied by their child: `Timothy`, `Meredith`, `Fred`, `Bella`, `Samantha`
 - The mothers' names in different houses are unique: `Kailyn`, `Penny`, `Aniya`, `Janelle`, `Holly`
 - People have unique favorite sports: `tennis`, `soccer`, `swimming`, `baseball`, `basketball`

## Clues:
1. The tea drinker is the person who loves tennis.
2. The person whose mother's name is Aniya is Arnold.
3. The person whose mother's name is Janelle is somewhere to the right of the person who loves swimming.
4. The person whose mother's name is Janelle is the person's child is named Bella.
5. The person's child is named Samantha is the person who likes milk.
6. The coffee drinker is not in the fifth house.
7. Bob is the person's child is named Bella.
8. The person who loves swimming and the person who loves basketball are next to each other.
9. The person who is the mother of Timothy is somewhere to the left of the person who owns a dog.
10. The person whose mother's name is Kailyn is in the fifth house.
11. The root beer lover is Alice.
12. The person whose mother's name is Holly is directly left of the root beer lover.
13. The person who likes milk is not in the second house.
14. There is one house between the person who has a cat and the person who loves baseball.
15. The person whose mother's name is Penny is somewhere to the right of the person who loves tennis.
16. The person's child is named Fred is the person who keeps a pet bird.
17. The person who likes milk is directly left of the person with a pet hamster.
18. The person who keeps a pet bird is Alice.
19. There are two houses between Eric and The person whose mother's name is Aniya.
 What is the value of attribute House for the person whose attribute FavoriteSport is swimming? Please reason step by step, and put your final answer within \boxed{}

Answer: 2


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`, `Peter`, `Eric`, `Arnold`
 - Each person has a unique level of education: `master`, `doctorate`, `high school`, `bachelor`, `trade school`, `associate`
 - People have unique favorite book genres: `romance`, `fantasy`, `historical fiction`, `science fiction`, `mystery`, `biography`
 - Each mother is accompanied by their child: `Alice`, `Samantha`, `Timothy`, `Meredith`, `Bella`, `Fred`
 - Everyone has something unique for lunch: `stew`, `soup`, `stir fry`, `spaghetti`, `pizza`, `grilled cheese`
 - People have unique favorite sports: `volleyball`, `basketball`, `tennis`, `baseball`, `swimming`, `soccer`

## Clues:
1. Alice is the person who loves swimming.
2. The person's child is named Alice is directly left of the person who loves historical fiction books.
3. The person who loves the stew is the person who loves historical fiction books.
4. The person with a doctorate is the person who loves the soup.
5. The person who loves science fiction books is in the sixth house.
6. The person who attended trade school is directly left of the person who loves historical fiction books.
7. The person who loves baseball and the person's child is named Bella are next to each other.
8. The person with a master's degree is somewhere to the left of the person who loves mystery books.
9. The person who loves soccer is somewhere to the left of the person who loves fantasy books.
10. The person who loves stir fry is the person with an associate's degree.
11. The person who is a pizza lover is Peter.
12. Bob is not in the sixth house.
13. The person's child is named Meredith is directly left of the person who loves fantasy books.
14. The person's child is named Samantha is Eric.
15. There is one house between the person who loves eating grilled cheese and Bob.
16. The person who loves eating grilled cheese is the person's child is named Samantha.
17. The person who loves volleyball is the person's child is named Samantha.
18. The person's child is named Fred is somewhere to the left of the person's child is named Samantha.
19. Bob is the person who loves tennis.
20. The person who loves soccer is directly left of Carol.
21. The person who loves eating grilled cheese is somewhere to the left of the person who loves mystery books.
22. The person's child is named Meredith is the person who loves biography books.
23. The person's child is named Meredith is the person who loves the soup.
24. Carol is the person with a high school diploma.
 What is the value of attribute Education for the person whose attribute Name is Carol? Please reason step by step, and put your final answer within \boxed{}

Answer: high school


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Arnold`, `Eric`, `Alice`
 - Each person prefers a unique type of vacation: `mountain`, `cruise`, `beach`, `city`
 - Each person lives in a unique style of house: `craftsman`, `ranch`, `victorian`, `colonial`
 - The mothers' names in different houses are unique: `Kailyn`, `Holly`, `Aniya`, `Janelle`
 - They all have a unique favorite flower: `daffodils`, `roses`, `lilies`, `carnations`
 - Each person has a favorite color: `green`, `white`, `yellow`, `red`

## Clues:
1. Alice is directly left of the person whose favorite color is red.
2. The person who loves a bouquet of daffodils is The person whose mother's name is Janelle.
3. Eric is not in the first house.
4. The person who loves the boquet of lilies is directly left of the person living in a colonial-style house.
5. The person residing in a Victorian house is in the second house.
6. The person who loves the rose bouquet is the person who loves yellow.
7. The person whose mother's name is Aniya is the person who loves yellow.
8. The person who enjoys mountain retreats is in the first house.
9. The person who likes going on cruises is the person whose favorite color is red.
10. The person who loves yellow is in the second house.
11. The person who loves white is the person who prefers city breaks.
12. The person whose mother's name is Holly is not in the fourth house.
13. The person whose favorite color is red is directly left of Peter.
14. The person who loves a bouquet of daffodils is the person in a ranch-style home.
 What is the value of attribute Flower for the person whose attribute Mother is Holly? Please reason step by step, and put your final answer within \boxed{}

Answer: lilies


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Arnold`, `Peter`, `Alice`
 - Everyone has something unique for lunch: `spaghetti`, `pizza`, `stew`, `grilled cheese`
 - People own unique car models: `tesla model 3`, `honda civic`, `toyota camry`, `ford f150`
 - The people keep unique animals: `fish`, `cat`, `bird`, `horse`

## Clues:
1. The cat lover is somewhere to the right of the fish enthusiast.
2. Eric is the person who owns a Ford F-150.
3. The person who owns a Honda Civic is in the fourth house.
4. The person who is a pizza lover is the fish enthusiast.
5. The person who keeps horses is somewhere to the left of Arnold.
6. Arnold is the person who loves the spaghetti eater.
7. The person who owns a Toyota Camry is the person who loves the stew.
8. Alice and Arnold are next to each other.
9. Alice is in the first house.
 What is the value of attribute Animal for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: fish


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Eric`, `Arnold`, `Peter`, `Carol`, `Alice`
 - They all have a unique favorite flower: `carnations`, `iris`, `lilies`, `daffodils`, `roses`, `tulips`
 - Each person has a unique type of pet: `dog`, `bird`, `fish`, `rabbit`, `hamster`, `cat`

## Clues:
1. Eric is the person who keeps a pet bird.
2. Peter is the person who owns a dog.
3. The person who loves a carnations arrangement is somewhere to the right of Bob.
4. The person who keeps a pet bird and the person who loves the rose bouquet are next to each other.
5. The person who loves a bouquet of daffodils is Bob.
6. The person who has a cat is somewhere to the right of the person with an aquarium of fish.
7. The person who has a cat is the person who loves the boquet of lilies.
8. The person who loves a carnations arrangement is directly left of the person who loves the vase of tulips.
9. The person who owns a rabbit is Arnold.
10. The person who keeps a pet bird is the person who loves the vase of tulips.
11. The person who owns a dog is in the fourth house.
12. Carol is somewhere to the left of the person with an aquarium of fish.
 What is the value of attribute House for the person whose attribute Flower is tulips? Please reason step by step, and put your final answer within \boxed{}

Answer: 5


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `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 FavoriteSport for the person whose attribute Height is tall? Please reason step by step, and put your final answer within \boxed{}

Answer: volleyball


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Carol`, `Peter`, `Eric`, `Bob`, `Alice`, `Arnold`
 - Each person prefers a unique type of vacation: `cruise`, `mountain`, `city`, `camping`, `cultural`, `beach`
 - Each person has a unique hobby: `knitting`, `photography`, `cooking`, `painting`, `gardening`, `woodworking`
 - Everyone has something unique for lunch: `stew`, `pizza`, `spaghetti`, `grilled cheese`, `stir fry`, `soup`
 - People own unique car models: `chevrolet silverado`, `honda civic`, `toyota camry`, `ford f150`, `tesla model 3`, `bmw 3 series`
 - They all have a unique favorite flower: `tulips`, `daffodils`, `carnations`, `lilies`, `iris`, `roses`

## Clues:
1. Arnold is the person who enjoys camping trips.
2. The photography enthusiast is the person who loves the soup.
3. Carol is the person who loves eating grilled cheese.
4. The person who owns a Honda Civic is the person who loves a carnations arrangement.
5. The person who loves beach vacations is not in the first house.
6. The person who enjoys gardening is the person who owns a Toyota Camry.
7. There is one house between the person who loves the boquet of iris and the person who loves the vase of tulips.
8. The person who prefers city breaks is the person who loves the stew.
9. The person who loves a bouquet of daffodils is Carol.
10. The person who prefers city breaks is Eric.
11. Carol is the person who loves cooking.
12. Eric is directly left of the photography enthusiast.
13. The person who loves the rose bouquet is Bob.
14. There is one house between Arnold and the person who likes going on cruises.
15. The person who owns a Tesla Model 3 and the person who enjoys mountain retreats are next to each other.
16. The person who loves the rose bouquet is the person who owns a Toyota Camry.
17. The person who owns a BMW 3 Series is somewhere to the right of the person who loves cooking.
18. The woodworking hobbyist is not in the third house.
19. The person who owns a Ford F-150 is the person who enjoys mountain retreats.
20. The person who is a pizza lover is not in the second house.
21. The person who loves the vase of tulips is not in the fourth house.
22. The person who loves the spaghetti eater is somewhere to the left of the person who enjoys knitting.
23. Peter is somewhere to the right of the photography enthusiast.
24. The person who owns a Honda Civic is the person who is a pizza lover.
25. The person who loves cooking is in the fifth house.
26. The person who likes going on cruises is the person who enjoys knitting.
 What is the value of attribute Flower for the person whose attribute House is 3? Please reason step by step, and put your final answer within \boxed{}

Answer: lilies


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`
 - Each mother is accompanied by their child: `Bella`, `Meredith`, `Fred`, `Samantha`
 - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`, `stew`
 - Each person has a favorite color: `red`, `white`, `yellow`, `green`

## Clues:
1. The person who is a pizza lover is somewhere to the left of the person's child is named Samantha.
2. The person whose favorite color is red is directly left of the person who loves white.
3. Eric is somewhere to the right of the person who loves the stew.
4. The person who loves white is in the fourth house.
5. The person whose favorite color is green is not in the second house.
6. The person whose favorite color is red is the person's child is named Bella.
7. The person who loves eating grilled cheese is in the second house.
8. There is one house between the person's child is named Meredith and Alice.
9. There is one house between Peter and Alice.
10. Alice is not in the third house.
 What is the value of attribute Color for the person whose attribute Food is spaghetti? Please reason step by step, and put your final answer within \boxed{}

Answer: white


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Bob`, `Peter`
 - Each person prefers a unique type of vacation: `cruise`, `city`, `mountain`, `camping`, `beach`
 - Each mother is accompanied by their child: `Fred`, `Bella`, `Meredith`, `Samantha`, `Timothy`
 - Each person has a unique type of pet: `bird`, `fish`, `dog`, `hamster`, `cat`
 - People have unique favorite sports: `basketball`, `swimming`, `tennis`, `baseball`, `soccer`
 - Each person has a unique favorite drink: `tea`, `coffee`, `water`, `milk`, `root beer`

## Clues:
1. The person who keeps a pet bird is the person who loves baseball.
2. The person with a pet hamster is not in the fourth house.
3. The person's child is named Bella is in the third house.
4. The person who prefers city breaks is directly left of the person's child is named Samantha.
5. The person's child is named Meredith is the person who enjoys camping trips.
6. There is one house between the person who prefers city breaks and Peter.
7. The person who loves tennis is the person's child is named Fred.
8. The person who owns a dog is Bob.
9. Bob is the person who loves beach vacations.
10. Bob is directly left of the person who has a cat.
11. The person's child is named Bella is the root beer lover.
12. The person who likes going on cruises is the person who likes milk.
13. The coffee drinker is not in the fourth house.
14. The one who only drinks water is the person who loves swimming.
15. The person who loves basketball is the person who has a cat.
16. The person who loves swimming is not in the fourth house.
17. The person who loves baseball is Eric.
18. There are two houses between Bob and the person's child is named Meredith.
19. The person who likes milk is the person who is the mother of Timothy.
20. The person's child is named Fred is directly left of Arnold.
21. The person who keeps a pet bird is directly left of Bob.
 What is the value of attribute Children for the person whose attribute Drink is milk? Please reason step by step, and put your final answer within \boxed{}

Answer: Timothy


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Bob`, `Peter`
 - Each person has an occupation: `lawyer`, `doctor`, `artist`, `engineer`, `teacher`

## Clues:
1. Bob is the person who is an engineer.
2. The person who is a doctor and the person who is an artist are next to each other.
3. There are two houses between Arnold and the person who is a lawyer.
4. Peter is the person who is an artist.
5. The person who is a lawyer is directly left of Eric.
6. Alice is somewhere to the right of the person who is an artist.
 What is the value of attribute Occupation for the person whose attribute House is 5? Please reason step by step, and put your final answer within \boxed{}

Answer: teacher


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Arnold`, `Alice`, `Peter`, `Carol`, `Eric`
 - Each person prefers a unique type of vacation: `mountain`, `city`, `cultural`, `camping`, `beach`, `cruise`
 - Everyone has a favorite smoothie: `lime`, `desert`, `cherry`, `blueberry`, `dragonfruit`, `watermelon`
 - People have unique favorite sports: `tennis`, `volleyball`, `basketball`, `baseball`, `swimming`, `soccer`
 - Everyone has a unique favorite cigar: `blends`, `yellow monster`, `dunhill`, `pall mall`, `blue master`, `prince`
 - People have unique heights: `tall`, `very tall`, `average`, `super tall`, `very short`, `short`

## Clues:
1. Peter is the Prince smoker.
2. The person who smokes many unique blends is the person who enjoys mountain retreats.
3. The person who loves baseball is the person who is tall.
4. The person who goes on cultural tours is the person who drinks Blueberry smoothies.
5. The person who likes Cherry smoothies is not in the fourth house.
6. The person who loves soccer is the person who enjoys camping trips.
7. The person who is super tall is somewhere to the right of the person who likes going on cruises.
8. The person who drinks Blueberry smoothies is the person who is tall.
9. The person who is very tall is the Dunhill smoker.
10. The person who enjoys mountain retreats is Eric.
11. The person who is super tall is Alice.
12. Bob is the person who smokes Blue Master.
13. The person who loves volleyball is in the first house.
14. Peter and the person who drinks Lime smoothies are next to each other.
15. Carol is the person who likes Cherry smoothies.
16. Peter is the person who is short.
17. The person who smokes many unique blends is somewhere to the right of the Dragonfruit smoothie lover.
18. The person who loves swimming is Carol.
19. The person who is very short is the person who smokes Blue Master.
20. The person who loves tennis is somewhere to the left of the person who is very short.
21. The person who loves swimming is directly left of the person who enjoys camping trips.
22. The person who drinks Blueberry smoothies is not in the third house.
23. Alice is somewhere to the right of the person who drinks Lime smoothies.
24. The person who loves tennis is the person who is super tall.
25. The person who smokes Yellow Monster and the person who prefers city breaks are next to each other.
26. The Watermelon smoothie lover is the person who is very short.
27. The person who loves beach vacations is somewhere to the left of the person who is very tall.
 What is the value of attribute House for the person whose attribute Vacation is cultural? Please reason step by step, and put your final answer within \boxed{}

Answer: 4


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Arnold`, `Eric`, `Alice`
 - Each person prefers a unique type of vacation: `mountain`, `cruise`, `beach`, `city`
 - Each person lives in a unique style of house: `craftsman`, `ranch`, `victorian`, `colonial`
 - The mothers' names in different houses are unique: `Kailyn`, `Holly`, `Aniya`, `Janelle`
 - They all have a unique favorite flower: `daffodils`, `roses`, `lilies`, `carnations`
 - Each person has a favorite color: `green`, `white`, `yellow`, `red`

## Clues:
1. Alice is directly left of the person whose favorite color is red.
2. The person who loves a bouquet of daffodils is The person whose mother's name is Janelle.
3. Eric is not in the first house.
4. The person who loves the boquet of lilies is directly left of the person living in a colonial-style house.
5. The person residing in a Victorian house is in the second house.
6. The person who loves the rose bouquet is the person who loves yellow.
7. The person whose mother's name is Aniya is the person who loves yellow.
8. The person who enjoys mountain retreats is in the first house.
9. The person who likes going on cruises is the person whose favorite color is red.
10. The person who loves yellow is in the second house.
11. The person who loves white is the person who prefers city breaks.
12. The person whose mother's name is Holly is not in the fourth house.
13. The person whose favorite color is red is directly left of Peter.
14. The person who loves a bouquet of daffodils is the person in a ranch-style home.
 What is the value of attribute HouseStyle for the person whose attribute House is 2? Please reason step by step, and put your final answer within \boxed{}

Answer: victorian


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 hobby: `photography`, `gardening`
 - People use unique phone models: `iphone 13`, `samsung galaxy s21`
 - Each mother is accompanied by their child: `Bella`, `Fred`
 - The people keep unique animals: `cat`, `horse`
 - Each person prefers a unique type of vacation: `beach`, `mountain`

## Clues:
1. The person who keeps horses and Arnold are next to each other.
2. The person who keeps horses is the person who enjoys gardening.
3. The cat lover is the person's child is named Fred.
4. The person who keeps horses is directly left of the person who loves beach vacations.
5. The person who keeps horses and the person who uses an iPhone 13 are next to each other.
 What is the value of attribute PhoneModel for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: samsung galaxy s21


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Peter`, `Eric`
 - Each person has a unique birthday month: `sept`, `april`, `jan`
 - People have unique favorite book genres: `mystery`, `science fiction`, `romance`
 - Everyone has a unique favorite cigar: `prince`, `blue master`, `pall mall`
 - The people keep unique animals: `bird`, `cat`, `horse`
 - People own unique car models: `toyota camry`, `ford f150`, `tesla model 3`

## Clues:
1. Arnold is the Prince smoker.
2. Eric is somewhere to the right of the person who loves romance books.
3. The person who keeps horses is the Prince smoker.
4. The person who smokes Blue Master is the person who loves mystery books.
5. The person who owns a Toyota Camry is the person partial to Pall Mall.
6. The person who owns a Tesla Model 3 is the person whose birthday is in September.
7. Peter is the person partial to Pall Mall.
8. The Prince smoker is somewhere to the right of the person who loves mystery books.
9. The person who keeps horses is the person whose birthday is in January.
10. The person who owns a Toyota Camry is the bird keeper.
 What is the value of attribute Cigar for the person whose attribute Birthday is jan? Please reason step by step, and put your final answer within \boxed{}

Answer: prince


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Arnold`, `Bob`, `Alice`, `Eric`, `Carol`
 - The mothers' names in different houses are unique: `Holly`, `Aniya`, `Kailyn`, `Janelle`, `Penny`, `Sarah`
 - Everyone has something unique for lunch: `stir fry`, `stew`, `spaghetti`, `soup`, `pizza`, `grilled cheese`
 - The people keep unique animals: `dog`, `horse`, `cat`, `fish`, `rabbit`, `bird`
 - Everyone has a favorite smoothie: `watermelon`, `desert`, `lime`, `cherry`, `blueberry`, `dragonfruit`
 - Each person lives in a unique style of house: `mediterranean`, `craftsman`, `victorian`, `colonial`, `modern`, `ranch`

## Clues:
1. The person whose mother's name is Penny is the person residing in a Victorian house.
2. The person in a modern-style house is The person whose mother's name is Kailyn.
3. The person in a modern-style house is somewhere to the right of the person residing in a Victorian house.
4. The person who drinks Blueberry smoothies is not in the sixth house.
5. The person whose mother's name is Sarah is the person who drinks Blueberry smoothies.
6. The person who likes Cherry smoothies is not in the third house.
7. The person who likes Cherry smoothies is Eric.
8. The person whose mother's name is Janelle is not in the third house.
9. The person who loves the spaghetti eater is in the third house.
10. The fish enthusiast is The person whose mother's name is Holly.
11. The person who keeps horses is in the first house.
12. The person in a Mediterranean-style villa is the person who loves the stew.
13. The bird keeper is in the third house.
14. The person living in a colonial-style house is the person who drinks Blueberry smoothies.
15. Carol is the person who keeps horses.
16. There are two houses between the Desert smoothie lover and Peter.
17. The person who loves eating grilled cheese is the Dragonfruit smoothie lover.
18. The person who is a pizza lover is somewhere to the right of the Dragonfruit smoothie lover.
19. The person whose mother's name is Janelle is somewhere to the left of Arnold.
20. Carol is directly left of The person whose mother's name is Aniya.
21. The person in a ranch-style home is The person whose mother's name is Aniya.
22. Arnold is somewhere to the right of the person in a Craftsman-style house.
23. The cat lover is Bob.
24. There is one house between the Watermelon smoothie lover and the person who is a pizza lover.
25. There are two houses between the cat lover and the person who loves stir fry.
26. Arnold is the rabbit owner.
27. Peter is The person whose mother's name is Janelle.
 What is the value of attribute Animal for the person whose attribute HouseStyle is victorian? 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`, `Alice`, `Arnold`, `Peter`
 - Everyone has a favorite smoothie: `cherry`, `dragonfruit`, `desert`, `watermelon`
 - Each person has a favorite color: `green`, `red`, `yellow`, `white`
 - They all have a unique favorite flower: `roses`, `carnations`, `daffodils`, `lilies`
 - People have unique favorite book genres: `fantasy`, `science fiction`, `mystery`, `romance`

## Clues:
1. The person who loves romance books is the person who loves white.
2. The person who loves fantasy books is the person who loves a bouquet of daffodils.
3. The person who likes Cherry smoothies is somewhere to the left of the person who loves romance books.
4. The person who loves science fiction books is somewhere to the right of Peter.
5. The person who loves the boquet of lilies is the person who loves science fiction books.
6. The person who loves romance books is not in the fourth house.
7. The person who loves fantasy books is the Dragonfruit smoothie lover.
8. The person who loves white is the Desert smoothie lover.
9. The person who loves a carnations arrangement is not in the third house.
10. Alice is the person who likes Cherry smoothies.
11. Eric is the person who loves mystery books.
12. The person whose favorite color is green is in the second house.
13. The person who loves yellow is somewhere to the left of Eric.
 What is the value of attribute BookGenre for the person whose attribute Smoothie is cherry? Please reason step by step, and put your final answer within \boxed{}

Answer: science fiction