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`
 - Each person has a unique hobby: `cooking`, `gardening`, `painting`, `knitting`, `photography`, `woodworking`
 - Each person has a unique birthday month: `april`, `sept`, `mar`, `jan`, `feb`, `may`
 - Everyone has a unique favorite cigar: `blends`, `prince`, `pall mall`, `dunhill`, `yellow monster`, `blue master`

## Clues:
1. The person whose birthday is in April is Eric.
2. Arnold is in the first house.
3. The person whose birthday is in January is the person who smokes many unique blends.
4. The Dunhill smoker is Alice.
5. Bob is the person whose birthday is in May.
6. The person whose birthday is in September and the photography enthusiast are next to each other.
7. Bob is the person who smokes Blue Master.
8. The person who loves cooking is the person whose birthday is in May.
9. The woodworking hobbyist and the person whose birthday is in March are next to each other.
10. The person who enjoys knitting is directly left of the person who smokes Yellow Monster.
11. Peter and the person who paints as a hobby are next to each other.
12. The person whose birthday is in March is somewhere to the left of the Prince smoker.
13. The person whose birthday is in February is somewhere to the left of the person who smokes many unique blends.
14. The person whose birthday is in March is somewhere to the right of the person whose birthday is in September.
15. The person who smokes many unique blends is directly left of the person whose birthday is in May.
16. The photography enthusiast and Peter are next to each other.
 What is the value of attribute Hobby for the person whose attribute Cigar is dunhill? Please reason step by step, and put your final answer within \boxed{}

Answer: photography


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Eric`, `Arnold`, `Peter`
 - People have unique favorite sports: `tennis`, `soccer`, `basketball`, `swimming`
 - People have unique hair colors: `red`, `black`, `brown`, `blonde`

## Clues:
1. Peter and the person who has blonde hair are next to each other.
2. The person who has black hair is not in the second house.
3. The person who loves soccer is somewhere to the right of the person who has brown hair.
4. Eric is in the second house.
5. The person who loves tennis is the person who has blonde hair.
6. The person who has brown hair is the person who loves basketball.
7. Arnold is somewhere to the right of the person who has black hair.
8. The person who has brown hair is directly left of the person who has black hair.
 What is the value of attribute Name for the person whose attribute FavoriteSport is soccer? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


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

## Clues:
1. Eric is the person who prefers city breaks.
2. Arnold is the person who is tall.
3. The person who loves beach vacations is the person who loves the boquet of lilies.
4. The person who owns a BMW 3 Series is the person who is tall.
5. The person with an associate's degree is the person who loves the boquet of lilies.
6. The person who has an average height is Eric.
7. Peter is the person who owns a Toyota Camry.
8. The person who has an average height is somewhere to the right of the person who loves a bouquet of daffodils.
9. The person who owns a Honda Civic is somewhere to the left of the person who loves the boquet of lilies.
10. Eric is the person who owns a Ford F-150.
11. The person who loves the vase of tulips is in the fourth house.
12. The person who is very short is not in the fourth house.
13. Eric is the person with a high school diploma.
14. The person who enjoys mountain retreats is somewhere to the right of the person with a master's degree.
15. The person who likes going on cruises is not in the third house.
16. Bob is the person who is short.
17. The person with an associate's degree is directly left of Arnold.
18. The person with a bachelor's degree is the person who is very tall.
19. The person who loves a carnations arrangement is directly left of the person with a doctorate.
 What is the value of attribute Education for the person whose attribute CarModel is ford f150? Please reason step by step, and put your final answer within \boxed{}

Answer: high school


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Bob`, `Arnold`, `Alice`, `Peter`
 - People own unique car models: `bmw 3 series`, `toyota camry`, `honda civic`, `tesla model 3`, `ford f150`
 - People use unique phone models: `google pixel 6`, `huawei p50`, `oneplus 9`, `iphone 13`, `samsung galaxy s21`
 - Each person has a unique hobby: `painting`, `gardening`, `knitting`, `photography`, `cooking`
 - Each person has an occupation: `lawyer`, `artist`, `teacher`, `engineer`, `doctor`
 - Each person has a favorite color: `white`, `blue`, `green`, `red`, `yellow`

## Clues:
1. The person who owns a Ford F-150 is directly left of the person who is a teacher.
2. The photography enthusiast is Arnold.
3. The person who uses a Huawei P50 is Eric.
4. The person who enjoys gardening is somewhere to the right of the person who loves blue.
5. The person who enjoys knitting is the person who loves white.
6. The person who owns a Ford F-150 is the person whose favorite color is red.
7. There is one house between the person who owns a BMW 3 Series and the person who loves yellow.
8. The person who is an artist is the person who uses a OnePlus 9.
9. The person who is a doctor is Arnold.
10. The person who enjoys gardening is the person who uses a Huawei P50.
11. There is one house between the person who loves blue and the person who loves yellow.
12. The person who owns a BMW 3 Series and the person who uses a Google Pixel 6 are next to each other.
13. The person who uses a Google Pixel 6 is directly left of the person who owns a Honda Civic.
14. Peter is the person who is an engineer.
15. The person who uses a Samsung Galaxy S21 is the person who owns a Toyota Camry.
16. The person who owns a Honda Civic is Alice.
17. The person who owns a Tesla Model 3 is the person who paints as a hobby.
 What is the value of attribute PhoneModel for the person whose attribute Occupation is engineer? Please reason step by step, and put your final answer within \boxed{}

Answer: google pixel 6


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`
 - Each person has a unique level of education: `master`, `bachelor`, `associate`, `high school`
 - People have unique favorite sports: `tennis`, `soccer`, `swimming`, `basketball`
 - Each person has an occupation: `teacher`, `engineer`, `doctor`, `artist`
 - They all have a unique favorite flower: `carnations`, `daffodils`, `lilies`, `roses`
 - People have unique heights: `very short`, `average`, `tall`, `short`

## Clues:
1. Eric is the person who loves a carnations arrangement.
2. The person who loves swimming is somewhere to the left of the person who is an artist.
3. Arnold is directly left of the person who is tall.
4. The person who loves swimming and the person who is a teacher are next to each other.
5. The person who loves basketball is the person with a bachelor's degree.
6. The person who is a doctor is the person who loves the rose bouquet.
7. The person who loves the boquet of lilies is the person who loves tennis.
8. The person who loves a carnations arrangement is the person with a master's degree.
9. The person who is a teacher is directly left of Alice.
10. The person who is an artist is the person with an associate's degree.
11. The person who loves a bouquet of daffodils is the person who is an artist.
12. The person who loves soccer is not in the fourth house.
13. The person who loves a bouquet of daffodils is somewhere to the right of the person who is short.
14. The person with a master's degree is the person who is very short.
 What is the value of attribute House for the person whose attribute Height is very short? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


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

## Clues:
1. Alice is the person who uses a Huawei P50.
2. The person who uses a Xiaomi Mi 11 is somewhere to the left of the one who only drinks water.
3. The one who only drinks water is somewhere to the left of Bob.
4. Carol is the person who has gray hair.
5. Eric is the tea drinker.
6. The person who has black hair is not in the sixth house.
7. The person who uses a Samsung Galaxy S21 is directly left of the person who loves classical music.
8. The person who uses a OnePlus 9 is not in the third house.
9. Alice is somewhere to the right of Carol.
10. The person who loves jazz music is Alice.
11. The person who loves jazz music is the boba tea drinker.
12. There is one house between the person who uses a OnePlus 9 and Eric.
13. The person who has brown hair is the person who loves hip-hop music.
14. The person who loves pop music is not in the first house.
15. The root beer lover is in the second house.
16. Eric is the person who uses an iPhone 13.
17. The person who has red hair is the person who uses an iPhone 13.
18. The person who has red hair and the coffee drinker are next to each other.
19. Peter is in the first house.
20. Arnold is somewhere to the right of the person who has auburn hair.
21. The person who has gray hair is not in the second house.
22. The person who loves country music is in the fifth house.
 What is the value of attribute House for the person whose attribute HairColor is brown? 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: `Peter`, `Arnold`, `Eric`, `Carol`, `Alice`, `Bob`
 - People have unique favorite music genres: `country`, `classical`, `pop`, `hip hop`, `jazz`, `rock`
 - Each person lives in a unique style of house: `modern`, `mediterranean`, `victorian`, `craftsman`, `ranch`, `colonial`
 - People use unique phone models: `huawei p50`, `iphone 13`, `google pixel 6`, `oneplus 9`, `xiaomi mi 11`, `samsung galaxy s21`
 - Each person has a unique type of pet: `hamster`, `dog`, `cat`, `rabbit`, `fish`, `bird`

## Clues:
1. The person who has a cat is the person in a Mediterranean-style villa.
2. Peter is in the second house.
3. The person in a modern-style house is the person who uses a Samsung Galaxy S21.
4. The person who keeps a pet bird is the person who uses a Google Pixel 6.
5. The person who keeps a pet bird is directly left of the person who uses a Xiaomi Mi 11.
6. Arnold is the person residing in a Victorian house.
7. The person who loves rock music is the person living in a colonial-style house.
8. The person in a Craftsman-style house is Carol.
9. The person who owns a rabbit is in the sixth house.
10. The person who loves pop music is somewhere to the left of the person living in a colonial-style house.
11. The person who uses a Huawei P50 and the person who loves country music are next to each other.
12. The person who loves hip-hop music is the person who uses a Samsung Galaxy S21.
13. Carol and Peter are next to each other.
14. The person who uses a OnePlus 9 is Peter.
15. The person with a pet hamster is not in the first house.
16. The person in a ranch-style home is somewhere to the left of the person who loves classical music.
17. There are two houses between Carol and Alice.
18. The person who owns a dog is in the fifth house.
19. The person in a modern-style house is Eric.
20. Peter is the person living in a colonial-style house.
21. The person who has a cat is not in the fourth house.
 What is the value of attribute House for the person whose attribute MusicGenre is hip hop? Please reason step by step, and put your final answer within \boxed{}

Answer: 6


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Alice`, `Carol`, `Peter`, `Arnold`, `Bob`
 - Each person has a unique hobby: `knitting`, `cooking`, `woodworking`, `gardening`, `photography`, `painting`
 - Each person has a unique level of education: `doctorate`, `master`, `bachelor`, `trade school`, `high school`, `associate`
 - People have unique favorite sports: `swimming`, `basketball`, `baseball`, `soccer`, `volleyball`, `tennis`

## Clues:
1. The person who enjoys gardening is somewhere to the right of the person with a high school diploma.
2. Alice is directly left of Bob.
3. The person who loves tennis is directly left of the photography enthusiast.
4. The woodworking hobbyist is the person who loves swimming.
5. The person who loves swimming is Peter.
6. The person with a bachelor's degree is directly left of Arnold.
7. The person who loves basketball is the person who enjoys knitting.
8. Eric is in the sixth house.
9. The person who enjoys gardening is directly left of the person with a master's degree.
10. The person who loves cooking is the person who loves tennis.
11. Arnold is the person who paints as a hobby.
12. The person with a doctorate is in the first house.
13. There are two houses between the person with an associate's degree and the person who loves volleyball.
14. The person with a bachelor's degree is the person who loves baseball.
15. The person with an associate's degree is somewhere to the left of the woodworking hobbyist.
 What is the value of attribute Name for the person whose attribute House is 3? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


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

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

Answer: Timothy


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Bob`, `Alice`, `Arnold`, `Carol`, `Peter`
 - The people are of nationalities: `swede`, `norwegian`, `german`, `chinese`, `dane`, `brit`
 - They all have a unique favorite flower: `daffodils`, `roses`, `carnations`, `lilies`, `tulips`, `iris`
 - Each person has a unique favorite drink: `water`, `tea`, `root beer`, `coffee`, `boba tea`, `milk`
 - Each person has a favorite color: `green`, `blue`, `purple`, `red`, `yellow`, `white`
 - Each person has a unique level of education: `high school`, `associate`, `bachelor`, `doctorate`, `trade school`, `master`

## Clues:
1. Arnold is somewhere to the left of the person who loves a carnations arrangement.
2. The coffee drinker is the person who loves the vase of tulips.
3. The German is directly left of the one who only drinks water.
4. The person whose favorite color is green is Alice.
5. The person who loves white is the coffee drinker.
6. The coffee drinker is the person with a bachelor's degree.
7. The one who only drinks water is the person who loves purple.
8. The person who loves a bouquet of daffodils is the person who loves blue.
9. The tea drinker is directly left of the person who loves a carnations arrangement.
10. The person with a high school diploma is Carol.
11. There is one house between the person who loves the boquet of iris and Peter.
12. The person with an associate's degree is the person whose favorite color is green.
13. Arnold is the Chinese.
14. The person whose favorite color is red is in the third house.
15. The boba tea drinker and the person who loves the vase of tulips are next to each other.
16. Alice is directly left of the Swedish person.
17. There is one house between the British person and the Chinese.
18. The person who loves the rose bouquet is somewhere to the left of the person with a bachelor's degree.
19. The person who loves yellow is not in the first house.
20. There are two houses between the person who likes milk and Peter.
21. Bob is the person with a master's degree.
22. The Swedish person is the person with a master's degree.
23. The person who attended trade school is somewhere to the left of the Chinese.
24. The German is in the fifth house.
25. The Norwegian is the one who only drinks water.
 What is the value of attribute Education for the person whose attribute Name is Bob? Please reason step by step, and put your final answer within \boxed{}

Answer: master


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Eric`, `Arnold`, `Peter`
 - Each person has a unique hobby: `painting`, `gardening`, `photography`, `cooking`
 - People have unique favorite book genres: `romance`, `science fiction`, `mystery`, `fantasy`
 - Each person prefers a unique type of vacation: `city`, `beach`, `mountain`, `cruise`
 - People have unique favorite music genres: `rock`, `pop`, `classical`, `jazz`
 - Each person has a unique level of education: `high school`, `associate`, `bachelor`, `master`

## Clues:
1. The person who loves science fiction books is somewhere to the right of the person who loves fantasy books.
2. The person who paints as a hobby is the person who loves fantasy books.
3. Arnold is the person who loves fantasy books.
4. The person with a high school diploma is the person who loves pop music.
5. The person who loves cooking is somewhere to the right of Eric.
6. There are two houses between the photography enthusiast and the person who loves beach vacations.
7. The person who loves romance books is Peter.
8. The person who enjoys mountain retreats is not in the second house.
9. The person with a bachelor's degree is somewhere to the right of the person with a high school diploma.
10. The person who loves classical music is not in the third house.
11. The person who prefers city breaks is the person who loves science fiction books.
12. The person who loves rock music is Peter.
13. The person with a bachelor's degree is not in the fourth house.
14. The person with a master's degree is the person who loves jazz music.
15. The person who enjoys gardening is the person who loves romance books.
 What is the value of attribute MusicGenre for the person whose attribute Hobby is photography? Please reason step by step, and put your final answer within \boxed{}

Answer: pop


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Eric`, `Arnold`, `Alice`, `Peter`
 - Each person has a favorite color: `blue`, `green`, `white`, `yellow`, `red`
 - People use unique phone models: `huawei p50`, `samsung galaxy s21`, `oneplus 9`, `iphone 13`, `google pixel 6`
 - Each person has an occupation: `artist`, `teacher`, `doctor`, `engineer`, `lawyer`

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

Answer: watermelon


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Peter`, `Arnold`
 - Each person has a unique level of education: `associate`, `high school`, `bachelor`
 - Each person prefers a unique type of vacation: `city`, `beach`, `mountain`
 - People have unique favorite music genres: `classical`, `rock`, `pop`
 - Each person has an occupation: `engineer`, `doctor`, `teacher`
 - People have unique favorite sports: `tennis`, `basketball`, `soccer`

## Clues:
1. Peter is in the first house.
2. The person with a high school diploma is directly left of the person who loves beach vacations.
3. The person who is a doctor is not in the third house.
4. The person who loves rock music and the person who loves pop music are next to each other.
5. The person who is a teacher is the person who enjoys mountain retreats.
6. Peter is the person with a bachelor's degree.
7. The person who prefers city breaks is the person who loves rock music.
8. The person who loves basketball is the person who enjoys mountain retreats.
9. Eric is in the third house.
10. The person with a bachelor's degree is the person who loves tennis.
 What is the value of attribute FavoriteSport for the person whose attribute House is 3? Please reason step by step, and put your final answer within \boxed{}

Answer: soccer


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Alice`, `Eric`, `Bob`, `Arnold`
 - Each person has a favorite color: `white`, `red`, `green`, `blue`, `yellow`
 - Each person lives in a unique style of house: `craftsman`, `modern`, `colonial`, `victorian`, `ranch`
 - People have unique favorite book genres: `fantasy`, `science fiction`, `biography`, `romance`, `mystery`

## Clues:
1. Alice is not in the fourth house.
2. Arnold is not in the fourth house.
3. The person who loves blue is Bob.
4. The person who loves white is in the fifth house.
5. The person who loves romance books is not in the fifth house.
6. The person who loves science fiction books is not in the fifth house.
7. The person whose favorite color is green is not in the fourth house.
8. The person who loves romance books is somewhere to the right of the person in a ranch-style home.
9. The person residing in a Victorian house is in the first house.
10. The person whose favorite color is red is in the second house.
11. The person in a modern-style house is somewhere to the right of Arnold.
12. Eric is the person living in a colonial-style house.
13. The person who loves science fiction books is somewhere to the right of Bob.
14. The person who loves fantasy books is the person residing in a Victorian house.
15. The person in a Craftsman-style house is not in the fifth house.
16. The person who loves biography books is the person whose favorite color is red.
17. Eric is in the third house.
18. The person who loves romance books is somewhere to the right of Eric.
 What is the value of attribute Color for the person whose attribute HouseStyle is modern? 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: `Alice`, `Peter`, `Bob`, `Eric`, `Arnold`
 - Each person has a unique level of education: `master`, `bachelor`, `doctorate`, `high school`, `associate`
 - Each person has a favorite color: `yellow`, `green`, `blue`, `red`, `white`
 - Each person prefers a unique type of vacation: `mountain`, `camping`, `cruise`, `beach`, `city`
 - People use unique phone models: `huawei p50`, `google pixel 6`, `iphone 13`, `oneplus 9`, `samsung galaxy s21`

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

Answer: mountain


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Bob`, `Alice`, `Eric`, `Peter`
 - People have unique favorite sports: `basketball`, `soccer`, `tennis`, `baseball`, `swimming`
 - The people keep unique animals: `dog`, `fish`, `horse`, `bird`, `cat`
 - People use unique phone models: `oneplus 9`, `google pixel 6`, `samsung galaxy s21`, `iphone 13`, `huawei p50`
 - People have unique hair colors: `black`, `red`, `brown`, `blonde`, `gray`
 - Each person lives in a unique style of house: `modern`, `craftsman`, `victorian`, `ranch`, `colonial`

## Clues:
1. The person who has gray hair is the person who loves tennis.
2. The person in a ranch-style home is in the fourth house.
3. The person living in a colonial-style house is the person who loves swimming.
4. The dog owner is somewhere to the right of the person who has gray hair.
5. The fish enthusiast is the person who has gray hair.
6. The person who has black hair is not in the fifth house.
7. The person who uses a Samsung Galaxy S21 is the bird keeper.
8. There is one house between the fish enthusiast and the person who uses a Samsung Galaxy S21.
9. The person residing in a Victorian house is somewhere to the left of the person in a Craftsman-style house.
10. The person who has red hair is not in the fifth house.
11. There is one house between the person who uses a Samsung Galaxy S21 and the person who uses a Huawei P50.
12. The person who uses an iPhone 13 is the person in a Craftsman-style house.
13. Eric is the person who has red hair.
14. The person who has red hair is not in the fourth house.
15. The person who uses a OnePlus 9 is in the first house.
16. The person who loves soccer is the dog owner.
17. The person who keeps horses is Bob.
18. Arnold is the fish enthusiast.
19. The person who loves baseball is Peter.
20. The person who loves soccer is in the fourth house.
21. The person who has blonde hair is directly left of the person who has black hair.
 What is the value of attribute House for the person whose attribute Animal is bird? Please reason step by step, and put your final answer within \boxed{}

Answer: 3


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

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

Answer: Peter


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Arnold`, `Carol`, `Bob`
 - People have unique heights: `very short`, `very tall`, `short`, `super tall`, `tall`, `average`
 - Everyone has something unique for lunch: `grilled cheese`, `stir fry`, `pizza`, `spaghetti`, `soup`, `stew`
 - The mothers' names in different houses are unique: `Holly`, `Janelle`, `Penny`, `Aniya`, `Kailyn`, `Sarah`
 - Each person has a unique favorite drink: `tea`, `water`, `milk`, `coffee`, `boba tea`, `root beer`
 - Each person has a unique type of pet: `rabbit`, `fish`, `bird`, `hamster`, `cat`, `dog`

## Clues:
1. Arnold is the person who loves the stew.
2. The person who owns a dog is directly left of the person who has a cat.
3. The person whose mother's name is Holly is in the sixth house.
4. The tea drinker is somewhere to the left of the boba tea drinker.
5. The tea drinker is in the second house.
6. The person who is very tall is Bob.
7. The person who has a cat is The person whose mother's name is Penny.
8. The person who is very short is directly left of Alice.
9. Carol is the person who is a pizza lover.
10. The person who has an average height is not in the sixth house.
11. The person who loves stir fry is Bob.
12. The person with a pet hamster is not in the third house.
13. The person whose mother's name is Janelle is somewhere to the left of the person with a pet hamster.
14. Eric is the person who loves the soup.
15. The person whose mother's name is Kailyn is directly left of the person who keeps a pet bird.
16. The one who only drinks water is somewhere to the right of the person who likes milk.
17. The person who owns a rabbit is the person who loves the stew.
18. The person who is tall is The person whose mother's name is Aniya.
19. The person who is very short is somewhere to the left of the person who likes milk.
20. The person who is tall is not in the fifth house.
21. The person who is very short is in the second house.
22. The person who loves the stew is the root beer lover.
23. The person whose mother's name is Kailyn is the boba tea drinker.
24. The person who is tall is not in the fourth house.
25. The person who is super tall is directly left of the person who loves eating grilled cheese.
26. Carol is directly left of the root beer lover.
 What is the value of attribute Food for the person whose attribute Name is Arnold? 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`, `Arnold`, `Carol`, `Bob`, `Peter`, `Alice`
 - Each person lives in a unique style of house: `ranch`, `victorian`, `modern`, `colonial`, `craftsman`, `mediterranean`
 - Each person has a unique favorite drink: `coffee`, `water`, `root beer`, `tea`, `milk`, `boba tea`
 - Each person has an occupation: `engineer`, `nurse`, `doctor`, `artist`, `lawyer`, `teacher`
 - The people keep unique animals: `horse`, `fish`, `dog`, `cat`, `rabbit`, `bird`
 - Each person has a favorite color: `red`, `purple`, `white`, `green`, `yellow`, `blue`

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

Answer: nurse


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`, `Carol`, `Alice`, `Eric`, `Arnold`, `Peter`
 - Everyone has something unique for lunch: `pizza`, `spaghetti`, `soup`, `grilled cheese`, `stew`, `stir fry`
 - Each person has a unique level of education: `associate`, `doctorate`, `trade school`, `high school`, `master`, `bachelor`
 - The people keep unique animals: `horse`, `fish`, `rabbit`, `cat`, `bird`, `dog`
 - Each person lives in a unique style of house: `ranch`, `victorian`, `modern`, `craftsman`, `mediterranean`, `colonial`

## Clues:
1. The person residing in a Victorian house is in the fourth house.
2. The fish enthusiast is in the first house.
3. The person in a ranch-style home is the bird keeper.
4. The person residing in a Victorian house is somewhere to the left of the person who loves the soup.
5. Carol is directly left of the person who keeps horses.
6. The person who loves stir fry is the person with a doctorate.
7. The person with a master's degree is somewhere to the left of the person with a doctorate.
8. There is one house between the person in a Mediterranean-style villa and the person with a bachelor's degree.
9. The person who attended trade school is the cat lover.
10. The person with a master's degree is the person who is a pizza lover.
11. The person who is a pizza lover is somewhere to the right of Alice.
12. The person living in a colonial-style house is the person who loves the stew.
13. Arnold is the person with a master's degree.
14. There is one house between Arnold and the person who loves eating grilled cheese.
15. The person in a modern-style house and the person who attended trade school are next to each other.
16. Eric is directly left of the person with a doctorate.
17. Alice and the person in a Mediterranean-style villa are next to each other.
18. The person with an associate's degree is directly left of Eric.
19. The dog owner is Bob.
 What is the value of attribute Animal for the person whose attribute HouseStyle is mediterranean? Please reason step by step, and put your final answer within \boxed{}

Answer: rabbit


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

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

Answer: 3


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

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

Answer: soccer


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Carol`, `Bob`, `Peter`, `Eric`, `Arnold`
 - They all have a unique favorite flower: `lilies`, `tulips`, `roses`, `daffodils`, `iris`, `carnations`
 - The people are of nationalities: `norwegian`, `dane`, `swede`, `german`, `brit`, `chinese`
 - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`, `dragonfruit`, `blueberry`, `lime`
 - Each person has a unique hobby: `photography`, `cooking`, `knitting`, `woodworking`, `painting`, `gardening`
 - Each person has a unique type of pet: `rabbit`, `hamster`, `fish`, `cat`, `bird`, `dog`

## Clues:
1. The Swedish person is the person who loves cooking.
2. The person who drinks Blueberry smoothies is Alice.
3. The person who loves the rose bouquet is not in the sixth house.
4. The photography enthusiast is somewhere to the right of the Dragonfruit smoothie lover.
5. The person who loves cooking is the person who loves a bouquet of daffodils.
6. The person who loves the boquet of lilies and the person who loves the boquet of iris are next to each other.
7. The person who paints as a hobby is Alice.
8. Arnold is somewhere to the right of the Watermelon smoothie lover.
9. The woodworking hobbyist is somewhere to the right of the German.
10. The woodworking hobbyist is somewhere to the left of the person who loves a bouquet of daffodils.
11. The Dane is the Watermelon smoothie lover.
12. The Dragonfruit smoothie lover is Peter.
13. The person who drinks Lime smoothies is the woodworking hobbyist.
14. There is one house between the Watermelon smoothie lover and the person who likes Cherry smoothies.
15. The person who keeps a pet bird is the person who drinks Blueberry smoothies.
16. The Desert smoothie lover is the person who enjoys gardening.
17. The person with a pet hamster is in the fifth house.
18. The person who owns a dog is the Norwegian.
19. The person who has a cat is somewhere to the right of Bob.
20. The British person is directly left of Carol.
21. The person who loves the boquet of iris is Arnold.
22. The German is somewhere to the right of the person who loves a carnations arrangement.
23. Bob is the photography enthusiast.
24. The person with an aquarium of fish is Arnold.
 What is the value of attribute Hobby for the person whose attribute Flower is roses? Please reason step by step, and put your final answer within \boxed{}

Answer: painting


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Peter`
 - People have unique heights: `short`, `very short`, `average`, `tall`
 - Each person has a favorite color: `yellow`, `white`, `red`, `green`
 - They all have a unique favorite flower: `lilies`, `roses`, `daffodils`, `carnations`
 - The people keep unique animals: `bird`, `fish`, `horse`, `cat`

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

Answer: 2


The field shown has been planted uniformly with wheat. [asy]
draw((0,0)--(1/2,sqrt(3)/2)--(3/2,sqrt(3)/2)--(2,0)--(0,0),linewidth(0.8));
label("$60^\circ$",(0.06,0.1),E);
label("$120^\circ$",(1/2-0.05,sqrt(3)/2-0.1),E);
label("$120^\circ$",(3/2+0.05,sqrt(3)/2-0.1),W);
label("$60^\circ$",(2-0.05,0.1),W);
label("100 m",(1,sqrt(3)/2),N);
label("100 m",(1.75,sqrt(3)/4+0.1),E);
[/asy] At harvest, the wheat at any point in the field is brought to the nearest point on the field's perimeter. What is the fraction of the crop that is brought to the longest side?The answer is in the form rac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.

Answer: 17


In $\triangle{ABC}$ with side lengths $AB = 13$, $AC = 12$, and $BC = 5$, let $O$ and $I$ denote the circumcenter and incenter, respectively. A circle with center $M$ is tangent to the legs $AC$ and $BC$ and to the circumcircle of $\triangle{ABC}$. What is the area of $\triangle{MOI}$?
$\textbf{(A)}\ 5/2\qquad\textbf{(B)}\ 11/4\qquad\textbf{(C)}\ 3\qquad\textbf{(D)}\ 13/4\qquad\textbf{(E)}\ 7/2$The answer is in the form rac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.

Answer: 9


The function $f(x),$ defined for $0 \le x \le 1,$ has the following properties:

(i) $f(0) = 0.$
(ii) If $0 \le x < y \le 1,$ then $f(x) \le f(y).$
(iii) $f(1 - x) = 1 - f(x)$ for all $0 \le x \le 1.$
(iv) $f \left( \frac{x}{3} \right) = \frac{f(x)}{2}$ for $0 \le x \le 1.$

Find $f \left( \frac{2}{7} \right).$The answer is in the form rac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.

Answer: 11


Triangle $ABC$ and triangle $DEF$ are congruent, isosceles right triangles. The square inscribed in triangle $ABC$ has an area of 15 square centimeters. What is the area of the square inscribed in triangle $DEF$? Express your answer as a common fraction.

[asy]
draw((0,0)--(2,0)--(0,2)--(0,0)--cycle,linewidth(2));
draw((0,0)--(1,0)--(1,1)--(0,1)--(0,0)--cycle,linewidth(2));
draw((1/8,0)--(1/8,1/8)--(0,1/8),linewidth(1));

draw((3,0)--(5,0)--(3,2)--(3,0)--cycle,linewidth(2));
draw((3+2/3,0)--(3+4/3,2/3)--(3+2/3,4/3)--(3,2/3)--(3+2/3,0)--cycle,linewidth(2));
draw((3+1/8,0)--(3+1/8,1/8)--(3,1/8),linewidth(1));

label("A",(0,2),NW);
label("B",(0,0),SW);
label("C",(2,0),SE);

label("D",(3,2),NW);
label("E",(3,0),SW);
label("F",(5,0),SE);

[/asy]The answer is in the form rac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.

Answer: 43


Two circles with spinners at their centers are divided into three equal regions as shown. When both spinners are spun, what is the probability that the product of the two values is negative? Express your answer as a common fraction. [asy]
size(140);
void spinner(picture pic=currentpicture, real rotate, int a, int b, int c)
{
dot(pic,(0,0),linewidth(4));
draw(pic, unitcircle ^^ (0,0)--dir(90+rotate) ^^ (0,0)--dir(210+rotate) ^^ (0,0)--dir(-30+rotate));
label(pic, "$"+string(a)+"$",dir(30+rotate)/2,fontsize(10pt));
label(pic, "$"+string(b)+"$",dir(150+rotate)/2,fontsize(10pt));
label(pic, "$"+string(c)+"$",dir(-90+rotate)/2,fontsize(10pt));
}
picture p;
spinner(0,-1,-3,5); spinner(p,180,2,4,-6);
draw((0,0)--dir(-10)/2,EndArrow(4)); draw(p,(0,0)--dir(-75)/2,EndArrow(4)); add(shift(2.5*right)*p);[/asy]The answer is in the form rac{m}{n}, where gcd(m, n) = 1. Please provide the value of m + n.

Answer: 14


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

## Clues:
1. The person who uses an iPhone 13 is not in the third house.
2. There are two houses between Eric and Peter.
3. Bob is somewhere to the left of the person who uses a Samsung Galaxy S21.
4. There is one house between Eric and Alice.
5. The person who uses a OnePlus 9 is in the second house.
6. The person who uses a Samsung Galaxy S21 is not in the third house.
7. The person who uses a Xiaomi Mi 11 is in the sixth house.
8. The person who uses a Huawei P50 is not in the fifth house.
9. The person who uses an iPhone 13 and Bob are next to each other.
10. The person who uses a Samsung Galaxy S21 is not in the fifth house.
11. The person who uses a Google Pixel 6 is Carol.
12. Arnold is somewhere to the right of Eric.
13. Arnold is not in the fourth house.
 What is the value of attribute House for the person whose attribute PhoneModel is xiaomi mi 11? Please reason step by step, and put your final answer within \boxed{}

Answer: 6


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Carol`, `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 House for the person whose attribute Smoothie is cherry? 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`, `Alice`, `Eric`
 - The people are of nationalities: `swede`, `norwegian`, `brit`, `dane`
 - The mothers' names in different houses are unique: `Aniya`, `Holly`, `Kailyn`, `Janelle`
 - Each person has an occupation: `teacher`, `doctor`, `engineer`, `artist`
 - Each person has a unique type of pet: `bird`, `dog`, `fish`, `cat`
 - Each mother is accompanied by their child: `Meredith`, `Bella`, `Samantha`, `Fred`

## Clues:
1. The person with an aquarium of fish is somewhere to the left of The person whose mother's name is Holly.
2. Peter is somewhere to the right of Arnold.
3. The person's child is named Fred and the person who has a cat are next to each other.
4. The Swedish person is The person whose mother's name is Kailyn.
5. Eric is the Swedish person.
6. The Norwegian is somewhere to the left of the person who is an artist.
7. The person who is a teacher is not in the first house.
8. The person's child is named Samantha is the Dane.
9. The person who owns a dog is Peter.
10. The person whose mother's name is Holly is the person who owns a dog.
11. The person whose mother's name is Janelle is somewhere to the right of the person who owns a dog.
12. The person's child is named Meredith is somewhere to the left of the Norwegian.
13. The person's child is named Fred is not in the third house.
14. There is one house between The person whose mother's name is Aniya and the person who is an engineer.
15. The person's child is named Fred and the person who is a teacher are next to each other.
 What is the value of attribute Nationality for the person whose attribute Children is Bella? Please reason step by step, and put your final answer within \boxed{}

Answer: norwegian


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`, `Peter`, `Eric`, `Alice`, `Arnold`
 - Everyone has something unique for lunch: `stir fry`, `grilled cheese`, `soup`, `spaghetti`, `stew`, `pizza`
 - Each person lives in a unique style of house: `colonial`, `victorian`, `craftsman`, `mediterranean`, `ranch`, `modern`

## Clues:
1. The person in a ranch-style home is in the fifth house.
2. The person in a modern-style house is not in the first house.
3. The person who loves stir fry is directly left of Peter.
4. There is one house between the person in a Craftsman-style house and Arnold.
5. The person who loves eating grilled cheese is the person residing in a Victorian house.
6. The person who loves the stew is the person living in a colonial-style house.
7. The person who loves the soup is directly left of the person who is a pizza lover.
8. Alice is the person who loves the stew.
9. There are two houses between the person in a modern-style house and Arnold.
10. The person who loves the stew is not in the sixth house.
11. The person who loves the spaghetti eater is Bob.
12. The person who loves eating grilled cheese is in the second house.
13. Carol is not in the fourth house.
 What is the value of attribute Food for the person whose attribute Name is Bob? Please reason step by step, and put your final answer within \boxed{}

Answer: spaghetti


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`
 - Each person lives in a unique style of house: `victorian`, `ranch`, `colonial`
 - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`
 - People have unique favorite book genres: `romance`, `mystery`, `science fiction`
 - People own unique car models: `ford f150`, `toyota camry`, `tesla model 3`
 - Each person has a unique level of education: `associate`, `high school`, `bachelor`

## Clues:
1. The person who loves science fiction books is in the second house.
2. The person with a high school diploma is the person residing in a Victorian house.
3. The person who loves a bouquet of daffodils is in the second house.
4. The person with an associate's degree is the person in a ranch-style home.
5. The person who owns a Tesla Model 3 is not in the third house.
6. The person who loves the boquet of lilies is the person residing in a Victorian house.
7. Arnold is the person in a ranch-style home.
8. The person who owns a Tesla Model 3 and Eric are next to each other.
9. The person who owns a Ford F-150 is the person who loves romance books.
10. The person who owns a Tesla Model 3 is the person residing in a Victorian house.
 What is the value of attribute CarModel for the person whose attribute HouseStyle is colonial? Please reason step by step, and put your final answer within \boxed{}

Answer: toyota camry


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`
 - Each person has a favorite color: `white`, `red`, `yellow`
 - People use unique phone models: `google pixel 6`, `samsung galaxy s21`, `iphone 13`
 - They all have a unique favorite flower: `lilies`, `daffodils`, `carnations`
 - Each person has a unique favorite drink: `water`, `tea`, `milk`
 - Each person has a unique level of education: `bachelor`, `associate`, `high school`

## Clues:
1. The person with an associate's degree is Eric.
2. Peter is the person who loves a carnations arrangement.
3. The person with a bachelor's degree is in the second house.
4. The person with a high school diploma is the person who loves yellow.
5. The one who only drinks water is the person with a high school diploma.
6. The person who loves a bouquet of daffodils is the person who uses an iPhone 13.
7. The person who uses a Google Pixel 6 is not in the third house.
8. The tea drinker is in the second house.
9. Eric is somewhere to the left of the person with a high school diploma.
10. The tea drinker is the person who uses an iPhone 13.
11. The person who loves white is not in the first house.
 What is the value of attribute PhoneModel for the person whose attribute Drink is tea? Please reason step by step, and put your final answer within \boxed{}

Answer: iphone 13


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Arnold`, `Eric`, `Alice`, `Bob`
 - Each person has a unique level of education: `associate`, `doctorate`, `high school`, `bachelor`, `master`
 - Each mother is accompanied by their child: `Fred`, `Meredith`, `Bella`, `Timothy`, `Samantha`
 - Everyone has a unique favorite cigar: `prince`, `pall mall`, `blue master`, `dunhill`, `blends`
 - The people are of nationalities: `swede`, `brit`, `dane`, `german`, `norwegian`
 - People have unique favorite book genres: `romance`, `mystery`, `biography`, `science fiction`, `fantasy`

## Clues:
1. The person with a master's degree is the person partial to Pall Mall.
2. The person with a high school diploma is in the fourth house.
3. The person's child is named Samantha is in the first house.
4. The Norwegian and the person with a master's degree are next to each other.
5. The German is the Dunhill smoker.
6. The person who is the mother of Timothy is directly left of the person with a master's degree.
7. Arnold and the Dane are next to each other.
8. The Swedish person is the person who loves mystery books.
9. The Swedish person is Alice.
10. Arnold is the person with an associate's degree.
11. The person with a doctorate is in the second house.
12. Peter is somewhere to the right of the person who loves biography books.
13. The person who smokes many unique blends is Alice.
14. The person who loves fantasy books is in the first house.
15. Peter is the Norwegian.
16. The person with a doctorate is the person's child is named Meredith.
17. The Prince smoker is somewhere to the left of the person who smokes many unique blends.
18. The person partial to Pall Mall is the person's child is named Bella.
19. The person who loves romance books is Bob.
 What is the value of attribute Cigar for the person whose attribute Nationality is brit? Please reason step by step, and put your final answer within \boxed{}

Answer: pall mall


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 HairColor for the person whose attribute House is 1? 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: `Alice`, `Eric`, `Peter`, `Arnold`, `Bob`, `Carol`
 - Each mother is accompanied by their child: `Meredith`, `Fred`, `Bella`, `Samantha`, `Alice`, `Timothy`
 - Each person has a unique birthday month: `jan`, `feb`, `mar`, `may`, `sept`, `april`
 - Everyone has a unique favorite cigar: `dunhill`, `blends`, `blue master`, `prince`, `yellow monster`, `pall mall`

## Clues:
1. The person's child is named Meredith and the person who smokes Yellow Monster are next to each other.
2. Carol is directly left of Arnold.
3. The person's child is named Meredith is the person who smokes many unique blends.
4. The person's child is named Samantha is the person whose birthday is in March.
5. The person partial to Pall Mall is somewhere to the right of the Dunhill smoker.
6. Eric is the Dunhill smoker.
7. There is one house between the person whose birthday is in May and the person who is the mother of Timothy.
8. The person who smokes Blue Master is the person's child is named Bella.
9. The person's child is named Samantha is somewhere to the right of the person whose birthday is in January.
10. The person's child is named Samantha is in the fifth house.
11. The person whose birthday is in May is the person's child is named Meredith.
12. The person's child is named Alice is the person whose birthday is in February.
13. There is one house between Alice and Arnold.
14. Bob is the person's child is named Meredith.
15. Carol is the person whose birthday is in April.
16. The person partial to Pall Mall is the person whose birthday is in April.
17. The person whose birthday is in May is somewhere to the left of the person whose birthday is in January.
 What is the value of attribute Birthday for the person whose attribute Name is Alice? Please reason step by step, and put your final answer within \boxed{}

Answer: jan


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

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

Answer: Kailyn


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Carol`, `Eric`, `Bob`, `Alice`, `Peter`, `Arnold`
 - The people keep unique animals: `dog`, `horse`, `rabbit`, `bird`, `fish`, `cat`
 - People have unique hair colors: `brown`, `black`, `blonde`, `auburn`, `red`, `gray`

## Clues:
1. Arnold is not in the fifth house.
2. The person who has blonde hair is not in the second house.
3. The person who has black hair is the dog owner.
4. The bird keeper and Peter are next to each other.
5. The person who has auburn hair is Eric.
6. There are two houses between the cat lover and Eric.
7. The person who has brown hair is Bob.
8. The bird keeper is in the first house.
9. The person who has gray hair is somewhere to the right of the fish enthusiast.
10. The cat lover is directly left of the person who has black hair.
11. Arnold is directly left of Eric.
12. Carol is somewhere to the left of the person who has auburn hair.
13. The rabbit owner is Arnold.
 What is the value of attribute House for the person whose attribute Name is Carol? Please reason step by step, and put your final answer within \boxed{}

Answer: 3


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Arnold`, `Eric`, `Alice`, `Bob`
 - Each person has a unique level of education: `associate`, `doctorate`, `high school`, `bachelor`, `master`
 - Each mother is accompanied by their child: `Fred`, `Meredith`, `Bella`, `Timothy`, `Samantha`
 - Everyone has a unique favorite cigar: `prince`, `pall mall`, `blue master`, `dunhill`, `blends`
 - The people are of nationalities: `swede`, `brit`, `dane`, `german`, `norwegian`
 - People have unique favorite book genres: `romance`, `mystery`, `biography`, `science fiction`, `fantasy`

## Clues:
1. The person with a master's degree is the person partial to Pall Mall.
2. The person with a high school diploma is in the fourth house.
3. The person's child is named Samantha is in the first house.
4. The Norwegian and the person with a master's degree are next to each other.
5. The German is the Dunhill smoker.
6. The person who is the mother of Timothy is directly left of the person with a master's degree.
7. Arnold and the Dane are next to each other.
8. The Swedish person is the person who loves mystery books.
9. The Swedish person is Alice.
10. Arnold is the person with an associate's degree.
11. The person with a doctorate is in the second house.
12. Peter is somewhere to the right of the person who loves biography books.
13. The person who smokes many unique blends is Alice.
14. The person who loves fantasy books is in the first house.
15. Peter is the Norwegian.
16. The person with a doctorate is the person's child is named Meredith.
17. The Prince smoker is somewhere to the left of the person who smokes many unique blends.
18. The person partial to Pall Mall is the person's child is named Bella.
19. The person who loves romance books is Bob.
 What is the value of attribute House for the person whose attribute Cigar is blue master? 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: `Eric`, `Peter`, `Arnold`, `Alice`
 - Each person lives in a unique style of house: `victorian`, `ranch`, `colonial`, `craftsman`
 - Each person has an occupation: `teacher`, `engineer`, `doctor`, `artist`
 - Everyone has a unique favorite cigar: `prince`, `dunhill`, `pall mall`, `blue master`
 - People have unique favorite music genres: `pop`, `rock`, `classical`, `jazz`
 - People have unique heights: `very short`, `tall`, `average`, `short`

## Clues:
1. The person who loves classical music is the person living in a colonial-style house.
2. The person who smokes Blue Master is the person in a ranch-style home.
3. The person who loves rock music is the person who smokes Blue Master.
4. The Dunhill smoker is directly left of Peter.
5. Eric is in the first house.
6. The person residing in a Victorian house is in the third house.
7. The person who loves rock music and the person who loves classical music are next to each other.
8. The person who is a teacher is the person who is short.
9. The person who loves classical music is the Prince smoker.
10. The person who is a doctor is somewhere to the left of the person who is very short.
11. Arnold is the person who is an artist.
12. The person who smokes Blue Master is in the first house.
13. The person who is tall is directly left of the person who loves pop music.
14. The person residing in a Victorian house is the person who is a teacher.
 What is the value of attribute MusicGenre for the person whose attribute HouseStyle is ranch? Please reason step by step, and put your final answer within \boxed{}

Answer: rock


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Eric`, `Alice`, `Peter`
 - People own unique car models: `honda civic`, `tesla model 3`, `toyota camry`, `ford f150`
 - They all have a unique favorite flower: `roses`, `daffodils`, `lilies`, `carnations`
 - Each person has a unique favorite drink: `milk`, `water`, `tea`, `coffee`
 - People have unique heights: `very short`, `average`, `tall`, `short`
 - Each person has a favorite color: `red`, `white`, `yellow`, `green`

## Clues:
1. The person who owns a Toyota Camry is somewhere to the left of the person who owns a Ford F-150.
2. The coffee drinker is the person who owns a Ford F-150.
3. The person who has an average height is in the third house.
4. The person whose favorite color is green and the person who owns a Tesla Model 3 are next to each other.
5. There are two houses between the person who loves the rose bouquet and the person who owns a Tesla Model 3.
6. The person who is very short is the tea drinker.
7. Alice is the person who loves white.
8. The person who loves the boquet of lilies is the person who owns a Tesla Model 3.
9. Peter is the person whose favorite color is red.
10. The person who owns a Toyota Camry is Eric.
11. The person who is short is somewhere to the left of the person who loves the boquet of lilies.
12. The person who loves a bouquet of daffodils is the person who loves white.
13. The coffee drinker is in the second house.
14. The person who owns a Tesla Model 3 is the person who likes milk.
 What is the value of attribute House for the person whose attribute Flower is carnations? 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: `Bob`, `Peter`, `Eric`, `Alice`, `Arnold`
 - Everyone has a favorite smoothie: `cherry`, `watermelon`, `lime`, `desert`, `dragonfruit`
 - Each person has a unique hobby: `gardening`, `photography`, `painting`, `knitting`, `cooking`
 - Each person has a unique type of pet: `cat`, `fish`, `hamster`, `dog`, `bird`

## Clues:
1. Bob is somewhere to the right of the photography enthusiast.
2. Alice is somewhere to the left of the person who loves cooking.
3. The person who paints as a hobby is the person with a pet hamster.
4. The person with an aquarium of fish is the person who enjoys knitting.
5. The person who likes Cherry smoothies is somewhere to the right of the Watermelon smoothie lover.
6. The person who keeps a pet bird is the person who drinks Lime smoothies.
7. The photography enthusiast and the person who owns a dog are next to each other.
8. There are two houses between the person with an aquarium of fish and the Desert smoothie lover.
9. Alice is the person who owns a dog.
10. The person who enjoys knitting is not in the fourth house.
11. Eric is somewhere to the right of Peter.
12. The Dragonfruit smoothie lover is in the second house.
13. Arnold is the person who drinks Lime smoothies.
14. The photography enthusiast is the Dragonfruit smoothie lover.
 What is the value of attribute Smoothie for the person whose attribute Hobby is cooking? 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`, `Eric`, `Bob`, `Alice`, `Carol`, `Peter`
 - The people are of nationalities: `german`, `brit`, `dane`, `chinese`, `swede`, `norwegian`
 - People have unique favorite music genres: `pop`, `jazz`, `hip hop`, `classical`, `country`, `rock`
 - Each person has a unique level of education: `doctorate`, `associate`, `master`, `bachelor`, `high school`, `trade school`

## Clues:
1. The Chinese is the person who loves pop music.
2. The person with a bachelor's degree is directly left of Arnold.
3. The person with a master's degree is in the first house.
4. Carol is somewhere to the left of Peter.
5. The Dane is the person with a doctorate.
6. The person who loves classical music is the person with a master's degree.
7. The person with a bachelor's degree is in the fifth house.
8. Eric is somewhere to the right of Bob.
9. Carol is the British person.
10. The person with a doctorate is somewhere to the right of the Norwegian.
11. The person with a doctorate is the person who loves rock music.
12. The Norwegian is somewhere to the right of the German.
13. The person who attended trade school is somewhere to the left of the person with a high school diploma.
14. The person who attended trade school and the Chinese are next to each other.
15. The person who loves jazz music is Arnold.
16. The person who loves hip-hop music is directly left of Alice.
 What is the value of attribute House for the person whose attribute Nationality is german? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`
 - Each person lives in a unique style of house: `victorian`, `ranch`, `colonial`, `craftsman`
 - Each person has an occupation: `teacher`, `engineer`, `doctor`, `artist`
 - Everyone has a unique favorite cigar: `prince`, `dunhill`, `pall mall`, `blue master`
 - People have unique favorite music genres: `pop`, `rock`, `classical`, `jazz`
 - People have unique heights: `very short`, `tall`, `average`, `short`

## Clues:
1. The person who loves classical music is the person living in a colonial-style house.
2. The person who smokes Blue Master is the person in a ranch-style home.
3. The person who loves rock music is the person who smokes Blue Master.
4. The Dunhill smoker is directly left of Peter.
5. Eric is in the first house.
6. The person residing in a Victorian house is in the third house.
7. The person who loves rock music and the person who loves classical music are next to each other.
8. The person who is a teacher is the person who is short.
9. The person who loves classical music is the Prince smoker.
10. The person who is a doctor is somewhere to the left of the person who is very short.
11. Arnold is the person who is an artist.
12. The person who smokes Blue Master is in the first house.
13. The person who is tall is directly left of the person who loves pop music.
14. The person residing in a Victorian house is the person who is a teacher.
 What is the value of attribute House for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Bob`, `Alice`, `Eric`, `Peter`
 - The people are of nationalities: `dane`, `swede`, `german`, `brit`, `norwegian`
 - Each person has a unique hobby: `gardening`, `painting`, `knitting`, `photography`, `cooking`
 - Everyone has a favorite smoothie: `dragonfruit`, `lime`, `watermelon`, `desert`, `cherry`
 - People have unique hair colors: `brown`, `gray`, `black`, `blonde`, `red`
 - People have unique favorite sports: `baseball`, `soccer`, `swimming`, `tennis`, `basketball`

## Clues:
1. The person who loves cooking is not in the second house.
2. The Watermelon smoothie lover is not in the fourth house.
3. The person who loves baseball is somewhere to the right of the Desert smoothie lover.
4. The person who drinks Lime smoothies is the person who has brown hair.
5. The person who has gray hair is somewhere to the right of the Swedish person.
6. The photography enthusiast is not in the fifth house.
7. The Swedish person is not in the first house.
8. The German is the person who has blonde hair.
9. There is one house between the Watermelon smoothie lover and the photography enthusiast.
10. Alice and the person who drinks Lime smoothies are next to each other.
11. The British person and the person who enjoys knitting are next to each other.
12. The person who has black hair is the Swedish person.
13. The British person is the person who enjoys gardening.
14. The person who loves swimming is the person who loves cooking.
15. The Dragonfruit smoothie lover is not in the third house.
16. The Watermelon smoothie lover is not in the second house.
17. Eric is somewhere to the left of the person who drinks Lime smoothies.
18. The person who loves soccer is Alice.
19. Peter is the photography enthusiast.
20. The person who enjoys gardening is directly left of the person who loves tennis.
21. The Norwegian and the photography enthusiast are next to each other.
22. The British person is Alice.
23. Bob is the person who has blonde hair.
 What is the value of attribute FavoriteSport for the person whose attribute Name is Arnold? Please reason step by step, and put your final answer within \boxed{}

Answer: tennis


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`
 - Each person has a unique hobby: `gardening`, `painting`, `knitting`, `cooking`, `photography`

## Clues:
1. The person who enjoys gardening is somewhere to the left of Bob.
2. Peter is in the second house.
3. Alice is not in the fourth house.
4. The person who loves cooking is directly left of the person who enjoys knitting.
5. The person who enjoys knitting is directly left of Bob.
6. The person who paints as a hobby is Eric.
7. Alice is not in the third house.
 What is the value of attribute Name for the person whose attribute Hobby is cooking? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


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

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

Answer: high school


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 prefers a unique type of vacation: `beach`, `mountain`, `city`
 - Everyone has a unique favorite cigar: `prince`, `pall mall`, `blue master`
 - Everyone has something unique for lunch: `grilled cheese`, `spaghetti`, `pizza`
 - The people keep unique animals: `bird`, `cat`, `horse`

## Clues:
1. The bird keeper is not in the second house.
2. The person who loves beach vacations is somewhere to the left of Arnold.
3. The bird keeper and the person who keeps horses are next to each other.
4. The bird keeper is not in the third house.
5. The person who is a pizza lover is not in the second house.
6. The person who prefers city breaks is the bird keeper.
7. The person who smokes Blue Master is not in the second house.
8. The person who loves the spaghetti eater is in the third house.
9. Eric is the person who smokes Blue Master.
10. The person who loves eating grilled cheese is directly left of the Prince smoker.
 What is the value of attribute Vacation for the person whose attribute Food is spaghetti? Please reason step by step, and put your final answer within \boxed{}

Answer: mountain