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`, `Alice`, `Eric`, `Peter`, `Bob`
 - Everyone has a unique favorite cigar: `blends`, `prince`, `dunhill`, `pall mall`, `blue master`

## Clues:
1. Alice is not in the fifth house.
2. The person who smokes Blue Master is not in the fifth house.
3. There is one house between Eric and the Dunhill smoker.
4. Bob is somewhere to the left of the person partial to Pall Mall.
5. Arnold is the Dunhill smoker.
6. Bob is somewhere to the right of the person who smokes many unique blends.
7. Alice is not in the first house.
8. There are two houses between Eric and the person partial to Pall Mall.
 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 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 HairColor for the person whose attribute Name is Alice? Please reason step by step, and put your final answer within \boxed{}

Answer: gray


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Peter`, `Arnold`, `Eric`
 - People have unique heights: `short`, `very short`, `tall`, `average`
 - Each person has a unique type of pet: `fish`, `cat`, `dog`, `bird`
 - Everyone has something unique for lunch: `pizza`, `spaghetti`, `stew`, `grilled cheese`

## Clues:
1. The person who loves the stew is in the second house.
2. The person who is very short is somewhere to the right of Eric.
3. Arnold is the person who is tall.
4. The person with an aquarium of fish is directly left of Arnold.
5. Peter is somewhere to the left of the person who is short.
6. The person who loves eating grilled cheese is directly left of the person who is a pizza lover.
7. The person who has a cat is Arnold.
8. The person with an aquarium of fish is the person who has an average height.
9. Peter is the person who keeps a pet bird.
 What is the value of attribute Pet for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: fish


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

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

Answer: feb


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

## Clues:
1. Bob is somewhere to the left of the person who uses a Samsung Galaxy S21.
2. The person who uses a OnePlus 9 is Alice.
3. The person who loves romance books is Alice.
4. The person who loves biography books is Bob.
5. The person who loves science fiction books is Arnold.
6. Eric is somewhere to the left of the person who uses a Google Pixel 6.
7. There is one house between Eric and Peter.
8. The person who loves fantasy books is Carol.
9. The person who loves science fiction books and the person who uses a Huawei P50 are next to each other.
10. The person who uses a Huawei P50 and the person who loves fantasy books are next to each other.
11. The person who loves romance books is directly left of the person who loves science fiction books.
12. The person who uses a Xiaomi Mi 11 is in the sixth house.
13. The person who loves historical fiction books is not in the fourth house.
 What is the value of attribute House for the person whose attribute Name is Bob? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


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

## Clues:
1. The person who loves cooking is in the second house.
2. The fish enthusiast is not in the first house.
3. Alice is in the second house.
4. The cat lover is the person residing in a Victorian house.
5. The person who enjoys gardening is the person residing in a Victorian house.
6. The person in a ranch-style home is not in the first house.
7. The person who keeps horses is somewhere to the right of the person residing in a Victorian house.
8. Peter is somewhere to the left of the person who paints as a hobby.
9. The person in a Craftsman-style house is Eric.
10. The person residing in a Victorian house is in the third house.
11. Peter is directly left of the person living in a colonial-style house.
 What is the value of attribute House for the person whose attribute HouseStyle is craftsman? 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: `Alice`, `Arnold`, `Peter`, `Bob`, `Eric`
 - Each mother is accompanied by their child: `Samantha`, `Meredith`, `Bella`, `Timothy`, `Fred`
 - Everyone has a favorite smoothie: `lime`, `dragonfruit`, `watermelon`, `desert`, `cherry`
 - Each person has a unique type of pet: `hamster`, `bird`, `fish`, `cat`, `dog`
 - Each person has a unique favorite drink: `tea`, `coffee`, `milk`, `root beer`, `water`
 - The mothers' names in different houses are unique: `Penny`, `Aniya`, `Holly`, `Janelle`, `Kailyn`

## Clues:
1. Alice is the person's child is named Samantha.
2. The person whose mother's name is Penny is somewhere to the right of the person's child is named Meredith.
3. Peter is The person whose mother's name is Penny.
4. The person who is the mother of Timothy is directly left of The person whose mother's name is Kailyn.
5. The person who likes Cherry smoothies is Eric.
6. There is one house between the person who drinks Lime smoothies and The person whose mother's name is Holly.
7. There is one house between the person who keeps a pet bird and the coffee drinker.
8. The person with a pet hamster is Arnold.
9. The tea drinker is in the fifth house.
10. There are two houses between the one who only drinks water and the tea drinker.
11. The person who likes Cherry smoothies is the person who keeps a pet bird.
12. The person whose mother's name is Holly is the person who owns a dog.
13. There is one house between the person who keeps a pet bird and the person's child is named Bella.
14. The person whose mother's name is Kailyn and The person whose mother's name is Penny are next to each other.
15. Peter is not in the fourth house.
16. The person with a pet hamster is not in the second house.
17. The person who likes Cherry smoothies is directly left of the person's child is named Meredith.
18. The Dragonfruit smoothie lover is the person who has a cat.
19. The root beer lover is in the first house.
20. The person's child is named Fred is not in the fourth house.
21. The Desert smoothie lover and The person whose mother's name is Aniya are next to each other.
 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: 2


Let $v$ and $w$ be real numbers such that, for all real numbers $a$ and $b$, the inequality \[(2^{a+b}+8)(3^a+3^b) \leq v(12^{a-1}+12^{b-1}-2^{a+b-1})+w\] holds. Compute the smallest possible value of $128v^2+w^2$.

Answer: 62208


Point $A$ lies on the circumference of a circle $\Omega$ with radius $78$. Point $B$ is placed such that $AB$ is tangent to the circle and $AB=65$, while point $C$ is located on $\Omega$ such that $BC=25$. Compute the length of $\overline{AC}$.

Answer: 60


Let $ABC$ be an equilateral triangle. Denote by $D$ the midpoint of $\overline{BC}$, and denote the circle with diameter $\overline{AD}$ by $\Omega$. If the region inside $\Omega$ and outside $\triangle ABC$ has area $800\pi-600\sqrt{3}$, find the length of $AB$.

Answer: 80


You are given a rectangular playing field of size $13 \times 2$ and any number of dominoes of sizes $2 \times 1$ and $3 \times 1$. The playing field should be seamlessly covered with these dominoes without overlapping, and no domino should protrude beyond the playing field. Furthermore, all dominoes must be aligned in the same way, i.e., their long sides must be parallel to each other. How many such coverings are possible?

Answer: 257


For some real number $a$, define two parabolas on the coordinate plane with equations $x = y^2 + a$ and $y = x^2 + a$. Suppose there are $3$ lines, each tangent to both parabolas, that form an equilateral triangle with positive area $s$. If $s^2 = \frac{p}{q}$ for coprime positive integers $p$, $q$, find $p + q$.

Answer: 91


Alice and Bob play a game together as a team on a $100 \times 100$ board with all unit squares initially white. Alice sets up the game by coloring exactly $k$ of the unit squares red at the beginning. After that, a legal move for Bob is to choose a row or column with at least $10$ red squares and color all of the remaining squares in it red. What is the smallest $k$ such that Alice can set up a game in such a way that Bob can color the entire board red after finitely many moves?

Answer: 100


We have a calculator with two buttons that displays an integer $x$. Pressing the first button replaces $x$ by $\lfloor \frac{x}{2} \rfloor$, and pressing the second button replaces $x$ by $4x+1$. Initially, the calculator displays $0$. How many integers less than or equal to $2014$ can be achieved through a sequence of arbitrary button presses? (It is permitted for the number displayed to exceed 2014 during the sequence. Here, $\lfloor y \rfloor$ denotes the greatest integer less than or equal to the real number $y$).

Answer: 233


Let $k$ be the smallest positive integer such that the binomial coefficient $\binom{10^9}{k}$ is less than the binomial coefficient $\binom{10^9 + 1}{k - 1}$. Let $a$ be the first (from the left) digit of $k$ and let $b$ be the second (from the left) digit of $k$. What is the value of $10a + b$?

Answer: 38


Freddy the Frog is situated at 1 on an infinitely long number line. On day $n$, where $n \ge 1$, Freddy can choose to hop 1 step to the right, stay where he is, or hop $k$ steps to the left, where $k$ is an integer at most $n+1$. After day 5, how many sequences of moves are there such that Freddy has landed on at least one negative number?

Answer: 6423


In triangle $ABC$, angle $B$ is obtuse and equal to $a$. The bisectors of angles $A$ and $C$ intersect the opposite sides at points $P$ and $M$, respectively. On the side $AC$, points $K$ and $L$ are taken such that $\angle ABK = \angle CBL = 2a - 180^\circ$. What is the angle between the straight lines $KP$ and $LM$?

Answer: 90


Define a search algorithm called $\texttt{powSearch}$. Assume $A$ is a 1-indexed sorted array of distinct integers. To search for an integer $b$ in this array, we search the indices $2^0, 2^1, \ldots$ until we either reach the end of the array or $A[2^k] > b$. If at any point $A[2^k] = b$, we stop and return $2^k$. Once $A[2^k] > b > A[2^{k-1}]$, we discard the first $2^{k-1}$ elements of $A$ and recursively search in the same manner. For example, for an integer at position $3$, we will search the locations $1, 2, 4, 3$.

Define $g(x)$ as a function that returns the number of (not necessarily distinct) indices examined when calling $\texttt{powSearch}$ with an integer $b$ at position $x$ in $A$. For example, $g(3) = 4$. If $A$ has length $64$, find
\[g(1) + g(2) + \ldots + g(64).\]

Answer: 808


Quadrilateral $ABCD$ satisfies the following conditions:
- $AB = 8$,
- $BC = 5$,
- $CD = 17$,
- $DA = 10$.

Let $E$ be the intersection of diagonals $AC$ and $BD$. It is given that the ratio $BE : ED = 1 : 2$.

Find the area of quadrilateral $ABCD$.

Answer: 60


A polynomial $p(x)$ of degree $1000$ is such that $p(n) = (n+1)2^n$ for all nonnegative integers $n$ such that $n \leq 1000$. Given that
\[p(1001) = a \cdot 2^b - c,\]
where $a$ is an odd integer, and $0 < c < 2007$, find $c-(a+b)$.

Answer: 500


A large number of rocks are placed on a table. On each turn, one may remove some rocks from the table following these rules: on the first turn, only one rock may be removed, and on every subsequent turn, one may remove either twice as many rocks or the same number of rocks as they have discarded on the previous turn. Determine the minimum number of turns required to remove exactly $2012$ rocks from the table.

Answer: 18


Mr. Thompson, a retired engineer who loves solving Sudoku puzzles, is sharing his problem-solving strategies with a group of students. To make it fun, he decides to create a math challenge based on his Sudoku techniques. Mr. Thompson explains that in one of his favorite Sudoku strategies, he starts by counting the number of empty cells in a row, then the number of empty cells in a column, and finally the number of empty cells in a 3x3 box.

In his latest Sudoku puzzle, Mr. Thompson finds that there are 5 empty cells in one particular row, 3 empty cells in a corresponding column, and 4 empty cells in the intersecting 3x3 box. Mr. Thompson challenges the students to calculate the total number of empty cells that he needs to fill in these specific row, column, and 3x3 box together, knowing that the row, column, and 3x3 box overlap at exactly 2 cells.

How many unique empty cells does Mr. Thompson need to fill in this combination of row, column, and 3x3 box?

Answer: 8


Jamie is a concerned guardian who wants to ensure their child, Alex, maintains a healthy lifestyle. Instead of opting for quick-fix diets, Jamie decides to gradually increase Alex's weekly exercise routine. Currently, Alex exercises for 30 minutes a day, 4 days a week. Jamie plans to increase Alex's exercise time by 10 minutes every week for the next 4 weeks. How many total minutes will Alex exercise in the fourth week after all the increases have been made?

Answer: 280


Jamie is a busy working parent who uses a cookbook author's meal planning tips to simplify family dinners. The author suggests preparing meals for the entire week every Sunday to save time during weekdays. If each meal takes Jamie 30 minutes to prepare and cook, how much total time does Jamie spend preparing meals for a family of four for seven days? If Jamie follows the author's advice and batch cooks all the meals on Sunday, how many minutes does Jamie save compared to preparing one meal each day throughout the week?

Answer: 0


The Archaeological Research Institute is planning an excavation at a site rumored to have ancient artifacts. The site is divided into 5 equal sections, each measuring 200 square meters. The team has uncovered 8 artifacts in the first section, 6 in the second, 10 in the third, and 7 in the fourth. If the pattern of discoveries continues, how many artifacts can the team expect to find in the fifth section? After excavating all sections, what is the total number of artifacts found at the site?

Answer: 39


Jens Lekman has just released a new album with 12 melancholic songs. A fan decides to listen to the album in a peculiar way: he plays the first song 3 times, the second song 2 times, and each of the remaining songs just once. After listening, he realizes that he has played a total of 22 songs, including repeats. How many times did he play the 12th song?

Answer: 8


A professional book reviewer named Alex has been reviewing Ian McEwan's novels for 15 years. Over these years, Alex has read 3 new McEwan novels each year that focus on different themes. In the past 5 years, Alex noticed a shift in McEwan's writing style and decided to re-read half of the novels from those years to study the changes more closely. How many novels has Alex re-read in the past 5 years?

Answer: 8


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

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

Answer: 3


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Bob`, `Carol`, `Eric`, `Peter`, `Arnold`
 - Each person has a unique hobby: `knitting`, `woodworking`, `photography`, `cooking`, `gardening`, `painting`
 - Each person lives in a unique style of house: `ranch`, `modern`, `mediterranean`, `colonial`, `craftsman`, `victorian`
 - People have unique favorite music genres: `classical`, `jazz`, `rock`, `hip hop`, `pop`, `country`
 - People have unique hair colors: `blonde`, `red`, `gray`, `black`, `brown`, `auburn`

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

Answer: hip hop


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

## Clues:
1. The woodworking hobbyist is somewhere to the left of Bob.
2. The person who paints as a hobby is in the fifth house.
3. Arnold is directly left of the person who uses a Google Pixel 6.
4. The person who uses a Samsung Galaxy S21 is Arnold.
5. Carol is somewhere to the right of the person who uses a Samsung Galaxy S21.
6. The person who uses a Google Pixel 6 is directly left of the person who uses a OnePlus 9.
7. The person who uses a OnePlus 9 is somewhere to the right of Eric.
8. There are two houses between the person who loves cooking and Peter.
9. The person who enjoys knitting is Eric.
10. Peter is the person who paints as a hobby.
11. The person who enjoys gardening is somewhere to the right of Bob.
12. There is one house between Bob and the person who uses a Huawei P50.
13. The person who uses a Xiaomi Mi 11 is not in the first house.
14. Alice is in the sixth house.
 What is the value of attribute House for the person whose attribute Hobby is painting? 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: `Eric`, `Peter`, `Bob`, `Arnold`, `Carol`, `Alice`
 - Everyone has a favorite smoothie: `cherry`, `blueberry`, `dragonfruit`, `watermelon`, `lime`, `desert`
 - The people keep unique animals: `bird`, `cat`, `dog`, `rabbit`, `horse`, `fish`
 - The mothers' names in different houses are unique: `Sarah`, `Holly`, `Janelle`, `Aniya`, `Kailyn`, `Penny`
 - They all have a unique favorite flower: `lilies`, `iris`, `carnations`, `tulips`, `roses`, `daffodils`
 - Each person has an occupation: `lawyer`, `doctor`, `teacher`, `engineer`, `artist`, `nurse`

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

Answer: jan


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

## Clues:
1. Peter is somewhere to the left of Arnold.
2. The person whose favorite color is red is not in the third house.
3. Peter and the person who has black hair are next to each other.
4. The person whose mother's name is Holly is somewhere to the right of the person who loves rock music.
5. The person who has blonde hair is the person who loves classical music.
6. The person who loves a carnations arrangement is somewhere to the right of the person who loves rock music.
7. Arnold is directly left of the person who loves a bouquet of daffodils.
8. The person who loves the boquet of lilies is the person who loves yellow.
9. The person whose mother's name is Janelle is directly left of the person who loves a bouquet of daffodils.
 What is the value of attribute House for the person whose attribute HairColor is brown? 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: `Alice`, `Peter`, `Arnold`, `Bob`, `Eric`, `Carol`
 - Everyone has something unique for lunch: `stir fry`, `grilled cheese`, `spaghetti`, `pizza`, `soup`, `stew`
 - People use unique phone models: `xiaomi mi 11`, `iphone 13`, `oneplus 9`, `google pixel 6`, `samsung galaxy s21`, `huawei p50`
 - People have unique favorite music genres: `pop`, `country`, `classical`, `jazz`, `rock`, `hip hop`
 - Each person has a unique favorite drink: `water`, `boba tea`, `milk`, `root beer`, `tea`, `coffee`
 - Each person has an occupation: `nurse`, `lawyer`, `artist`, `doctor`, `teacher`, `engineer`

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

Answer: grilled cheese


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

## Clues:
1. The person whose birthday is in January is the person who loves blue.
2. The person whose birthday is in January is directly left of the person who loves white.
3. The person who enjoys camping trips is in the fourth house.
4. Eric is in the sixth house.
5. There are two houses between the person who likes going on cruises and the person whose birthday is in February.
6. The person whose birthday is in May is not in the sixth house.
7. Peter is directly left of the person who loves yellow.
8. The person who goes on cultural tours is Eric.
9. The person whose birthday is in September is directly left of the person whose favorite color is green.
10. Arnold and the person who loves purple are next to each other.
11. The person who loves beach vacations is the person whose birthday is in March.
12. The person whose favorite color is green is somewhere to the left of Carol.
13. The person whose birthday is in May is somewhere to the right of Peter.
14. The person who loves blue is Bob.
15. The person who enjoys mountain retreats is in the fifth house.
16. The person who loves purple is in the third house.
17. Carol is in the fourth house.
 What is the value of attribute Color for the person whose attribute Birthday is may? Please reason step by step, and put your final answer within \boxed{}

Answer: yellow


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`, `Alice`, `Eric`, `Bob`, `Peter`
 - People have unique hair colors: `gray`, `blonde`, `red`, `brown`, `black`
 - Each person has an occupation: `engineer`, `artist`, `lawyer`, `teacher`, `doctor`

## Clues:
1. The person who has black hair is the person who is a teacher.
2. The person who is a doctor is somewhere to the right of the person who is an artist.
3. There is one house between Eric and Alice.
4. Eric is somewhere to the left of Alice.
5. The person who has brown hair and Alice are next to each other.
6. Alice is the person who has red hair.
7. There are two houses between the person who has brown hair and the person who has blonde hair.
8. Alice is the person who is an engineer.
9. Arnold is the person who has blonde hair.
10. The person who is a doctor is Peter.
11. The person who has brown hair is somewhere to the left of the person who is a teacher.
 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: 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: `Alice`, `Arnold`, `Peter`, `Eric`
 - Each person prefers a unique type of vacation: `cruise`, `mountain`, `city`, `beach`
 - Each person has a unique favorite drink: `tea`, `coffee`, `milk`, `water`
 - The people are of nationalities: `brit`, `swede`, `dane`, `norwegian`

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

Answer: 4


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Bob`, `Carol`, `Eric`, `Alice`, `Arnold`
 - Each person has a unique type of pet: `bird`, `dog`, `cat`, `rabbit`, `fish`, `hamster`
 - Each person lives in a unique style of house: `victorian`, `ranch`, `modern`, `mediterranean`, `colonial`, `craftsman`
 - Each person has a unique birthday month: `mar`, `sept`, `may`, `feb`, `jan`, `april`

## Clues:
1. The person with a pet hamster is somewhere to the right of the person whose birthday is in March.
2. The person whose birthday is in January is somewhere to the left of the person whose birthday is in September.
3. The person whose birthday is in May is in the second house.
4. The person living in a colonial-style house is in the second house.
5. Carol is in the third house.
6. The person in a Mediterranean-style villa is not in the sixth house.
7. The person with an aquarium of fish is somewhere to the right of Bob.
8. Eric is in the sixth house.
9. There is one house between the person who has a cat and the person residing in a Victorian house.
10. There are two houses between the person residing in a Victorian house and the person with a pet hamster.
11. The person in a Craftsman-style house is Arnold.
12. The person living in a colonial-style house is somewhere to the left of the person in a modern-style house.
13. The person with an aquarium of fish is not in the second house.
14. Peter is the person living in a colonial-style house.
15. The person whose birthday is in January is directly left of the person whose birthday is in April.
16. There is one house between the person who keeps a pet bird and the person in a modern-style house.
17. Carol is the person whose birthday is in March.
18. The person in a Craftsman-style house is in the fourth house.
19. The person who owns a dog is in the fourth house.
 What is the value of attribute HouseStyle for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: ranch


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Eric`, `Peter`, `Bob`, `Arnold`
 - The mothers' names in different houses are unique: `Penny`, `Holly`, `Janelle`, `Aniya`, `Kailyn`
 - Each mother is accompanied by their child: `Samantha`, `Fred`, `Timothy`, `Meredith`, `Bella`
 - People have unique favorite book genres: `mystery`, `fantasy`, `biography`, `science fiction`, `romance`

## Clues:
1. The person who loves mystery books is somewhere to the left of the person who is the mother of Timothy.
2. The person whose mother's name is Janelle is in the third house.
3. The person who loves science fiction books is directly left of the person's child is named Bella.
4. Arnold is somewhere to the right of the person's child is named Meredith.
5. The person's child is named Fred is Peter.
6. Alice is directly left of Eric.
7. The person whose mother's name is Aniya is in the second house.
8. The person's child is named Fred is not in the fifth house.
9. The person who loves romance books is Alice.
10. The person whose mother's name is Janelle is directly left of the person who is the mother of Timothy.
11. The person whose mother's name is Aniya is somewhere to the left of The person whose mother's name is Kailyn.
12. The person who loves science fiction books is Bob.
13. The person whose mother's name is Janelle is somewhere to the left of the person who loves fantasy books.
14. The person who loves fantasy books is somewhere to the left of The person whose mother's name is Penny.
 What is the value of attribute Children for the person whose attribute Mother is Kailyn? Please reason step by step, and put your final answer within \boxed{}

Answer: Timothy


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Eric`, `Alice`, `Arnold`
 - Each person has a unique level of education: `bachelor`, `high school`, `associate`, `master`
 - People have unique favorite music genres: `jazz`, `rock`, `pop`, `classical`
 - Each person has a favorite color: `green`, `red`, `yellow`, `white`
 - They all have a unique favorite flower: `lilies`, `carnations`, `daffodils`, `roses`

## Clues:
1. The person with a bachelor's degree is the person who loves a bouquet of daffodils.
2. The person who loves a carnations arrangement is not in the first house.
3. The person with a master's degree is Alice.
4. The person with a master's degree is directly left of the person who loves classical music.
5. Eric is not in the second house.
6. Arnold is not in the third house.
7. The person who loves yellow is directly left of the person who loves the rose bouquet.
8. The person who loves pop music is in the second house.
9. The person with an associate's degree is not in the fourth house.
10. The person who loves a carnations arrangement is not in the fourth house.
11. The person whose favorite color is red is directly left of the person who loves white.
12. The person whose favorite color is red is the person who loves rock music.
13. Arnold is the person who loves yellow.
14. The person who loves a bouquet of daffodils is the person who loves yellow.
 What is the value of attribute Education for the person whose attribute House is 3? Please reason step by step, and put your final answer within \boxed{}

Answer: master


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 favorite drink: `tea`, `water`, `milk`
 - The people are of nationalities: `dane`, `brit`, `swede`
 - Each person has a unique level of education: `high school`, `associate`, `bachelor`
 - Each person lives in a unique style of house: `victorian`, `colonial`, `ranch`
 - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`

## Clues:
1. There is one house between Eric and the tea drinker.
2. The person who likes milk is the person in a ranch-style home.
3. The person with a bachelor's degree is in the second house.
4. The person with a high school diploma is the Dane.
5. The Desert smoothie lover is the Swedish person.
6. The person residing in a Victorian house is not in the first house.
7. The person who likes Cherry smoothies is the person living in a colonial-style house.
8. Arnold is somewhere to the right of the person residing in a Victorian house.
9. The person in a ranch-style home is the person with a high school diploma.
 What is the value of attribute Drink for the person whose attribute Nationality is swede? Please reason step by step, and put your final answer within \boxed{}

Answer: water


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Eric`, `Peter`
 - Each person prefers a unique type of vacation: `beach`, `city`, `mountain`
 - People have unique favorite sports: `soccer`, `basketball`, `tennis`
 - Each person has a unique birthday month: `april`, `jan`, `sept`

## Clues:
1. The person whose birthday is in April is not in the third house.
2. There is one house between the person who enjoys mountain retreats and the person who loves beach vacations.
3. The person who loves soccer is Peter.
4. The person who loves tennis is the person who prefers city breaks.
5. Eric is directly left of the person who loves tennis.
6. The person who loves beach vacations is the person who loves soccer.
7. The person who prefers city breaks is the person whose birthday is in January.
 What is the value of attribute House for the person whose attribute Vacation is mountain? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


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 favorite drink: `water`, `milk`, `tea`
 - They all have a unique favorite flower: `carnations`, `lilies`, `daffodils`
 - Everyone has a unique favorite cigar: `pall mall`, `prince`, `blue master`

## Clues:
1. The person who smokes Blue Master is the person who loves a bouquet of daffodils.
2. Arnold is somewhere to the right of the person who loves a carnations arrangement.
3. Eric is somewhere to the right of the Prince smoker.
4. The one who only drinks water is the person partial to Pall Mall.
5. The person who loves the boquet of lilies is Peter.
6. The tea drinker is not in the third house.
 What is the value of attribute Drink for the person whose attribute Name is Eric? Please reason step by step, and put your final answer within \boxed{}

Answer: water


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Alice`, `Arnold`, `Peter`
 - Each person has a unique level of education: `master`, `high school`, `associate`, `bachelor`
 - The people keep unique animals: `bird`, `horse`, `cat`, `fish`
 - Each person has a unique type of pet: `bird`, `fish`, `dog`, `cat`
 - Each person has a unique favorite drink: `water`, `tea`, `milk`, `coffee`

## Clues:
1. Peter is directly left of the fish enthusiast.
2. The person with a master's degree is in the second house.
3. The coffee drinker is the person who owns a dog.
4. Arnold is the person with an associate's degree.
5. The person with a bachelor's degree is the person who owns a dog.
6. The one who only drinks water is the bird keeper.
7. Alice is the person with an aquarium of fish.
8. The person who keeps horses is in the first house.
9. The person with a master's degree is the tea drinker.
10. The person with an associate's degree is the person who keeps a pet bird.
11. The fish enthusiast is the coffee drinker.
12. The person with an associate's degree is not in the fourth house.
13. Eric is not in the fourth house.
 What is the value of attribute Drink for the person whose attribute Name is Peter? Please reason step by step, and put your final answer within \boxed{}

Answer: tea


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `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 House for the person whose attribute Vacation is beach? Please reason step by step, and put your final answer within \boxed{}

Answer: 3


There are 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 Name for the person whose attribute Vacation is city? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Arnold`, `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 FavoriteSport for the person whose attribute House is 2? Please reason step by step, and put your final answer within \boxed{}

Answer: tennis


Six standard six-sided dice are rolled. We are told that there is a triplet and a pair among these dice, but no four-of-a-kind. The triplet and the pair are set aside, and the remaining die is re-rolled. What is the probability that after re-rolling this single die, there is at least a four-of-a-kind or a full house?

Answer: \frac{1}{3}


The six edges of a tetrahedron $EFGH$ measure $10, 14, 19, 28, 37$ and $42$ units. If the length of edge $EF$ is $42$, determine the length of edge $GH$.

Answer: GH = 14


The sum of the length and width of a rectangle is such that twice this sum equals three times the area of the rectangle. Find the dimensions of the rectangle if the length is twice the width.

Answer: 2


It can be shown that for any positive integer \( n \),
\[
\begin{pmatrix} 1 & 2 \\ 2 & 1 \end{pmatrix}^n = \begin{pmatrix} G_{n+1} & 2G_n \\ 2G_n & G_{n-1} \end{pmatrix},
\]
where \( G_n \) denotes the \( n \)th modified Fibonacci number, defined by the recurrence relation \( G_{n} = 3G_{n-1} + 2G_{n-2} \) with initial conditions \( G_0 = 0 \) and \( G_1 = 1 \).

Compute \( G_{784} G_{786} - 4G_{785}^2 \).

Answer: -3^{785}


The Central Mathematics University is welcoming its new batch of students. The total number of incoming students is less than 600. When the students arrange themselves in rows of 26, there are 25 students in the last row. When they arrange themselves in rows of 24, there are 15 students in the last row. Determine the number of students in the incoming batch.

Answer: 519


For what values of $x$ is $x^2 + 2x \le -1$? Express your solution in interval notation.

Answer: \{-1\}


The side length of square $C$ is 45 cm, and the side length of square $D$ is 60 cm. Calculate the ratio of the area of square $C$ to that of square $D$ and determine the difference in their areas.

Answer: 1575 \text{ cm}^2


For some positive integer $j$, when 75 is divided by $j^2$, the remainder is 3. What is the remainder when 130 is divided by $j$?

Answer: 1


The point $(1,1,1)$ is first reflected through the $yz$-plane, then rotated $90^\circ$ about the $y$-axis, followed by a reflection through the $xz$-plane, another rotation of $90^\circ$ about the $y$-axis, and finally reflected through the $xy$-plane. Find the coordinates of the new position of the point.

Answer: (1, -1, -1)


Let $M$ be the midpoint of the segment joining vertices $A$ and $B$ of triangle $ABC$, and let $Q$ be an arbitrary point. Then there exists a constant $k$ so that
\[ QA^2 + QB^2 + QC^2 = k \cdot QM^2 + MA^2 + MB^2 + MC^2. \]
Find $k$.

Answer: 3


Consider a constant $k$ and a point $C = (0, c)$ such that for all chords $\overline{AB}$ of the parabola $y = x^2 + k$ passing through $C$, the value
\[ t = \frac{1}{AC^2} + \frac{1}{BC^2} \]
is a fixed constant. Find the constant $t$.

Answer: 4


The function \( g(x) \) satisfies
\[ g(xy) = xg(y) + 1 \] for all real numbers \( x \) and \( y \). If \( g(1) = 24 \), find \( g(80) \).

Answer: 1921


**Begin with the integer 1,000,000,000. The sequence is formed by repeatedly dividing the number by 3. What is the last integer in this sequence?**

Answer: 2


Consider a circle whose equation in a shifted coordinate system where origin is at $(1,-2)$ is given by $(x-1)^2 + (y+2)^2 = 4x + 12y + 6$. Determine the value of $h+k$ where $(h,k)$ is the center of the circle in the standard coordinate system.

Modified

Answer: 6


6. A natural number $k$ is said to be $n$-squared if, by coloring the cells of a $2 n \times k$ chessboard with $n$ different colors in any way, there exist 4 distinct cells of the same color whose centers are the vertices of a rectangle with sides parallel to the sides of the chessboard.

Determine, as a function of $n$, the smallest natural number $k$ that is $n$-squared.

Answer: 2n^{2}-n+1


8. A country has 21 cities, and some airlines can implement air transportation between these cities. Each airline connects pairs of cities with non-stop flights (and several airlines can operate flights between the same two cities at the same time). Every two cities are connected by at least one non-stop flight. How many airlines are needed at least to meet the above requirements?

Answer: 21


In the coordinate plane, a set of $2000$ points $\{(x_1, y_1), (x_2, y_2), . . . , (x_{2000}, y_{2000})\}$ is called [i]good[/i] if $0\leq x_i \leq 83$, $0\leq y_i \leq 83$ for $i = 1, 2, \dots, 2000$ and $x_i \not= x_j$ when $i\not=j$. Find the largest positive integer $n$ such that, for any good set, the interior and boundary of some unit square contains exactly $n$ of the points in the set on its interior or its boundary.

Answer: 25


4. Fill the numbers $1,2, \cdots, 36$ in a $6 \times 6$ grid, with each cell containing one number, such that the numbers in each row are in increasing order from left to right. Then the minimum value of the sum of the six numbers in the third column is $\qquad$

Answer: 63


3. How many spheres exist that touch all the faces of the given triangular pyramid $T$?

Answer: 8


4. A magician and his assistant have a deck of cards, all of which have the same back, and the front is one of 2017 colors (each color has 1000000 cards). The magic trick is: the magician first leaves the room, the audience arranges $n$ face-up cards in a row on the table, the magician's assistant then flips $n-1$ of these cards over in their original positions, leaving only one card face-up, and then the magician enters the room, observes the cards on the table, and selects a face-down card, guessing its color. Find the minimum value of $n$, such that the magician and his assistant can complete this trick according to some predetermined strategy.

Answer: 2018


3. Let $O$ be the center of the circumcircle of triangle $ABC$, points $O$ and $B$ lie on opposite sides of line $AC$, $\angle AOC = 60^\circ$. Find the angle $AMC$, where $M$ is the center of the incircle of triangle $ABC$.

Answer: 165


6. A rectangle $3 \times 100$ consists of 300 squares $1 \times 1$. What is the maximum number of diagonals that can be drawn in the squares so that no two diagonals share a common endpoint? (In one square, two diagonals can be drawn without sharing endpoints. Common internal points are allowed.)

Answer: 200


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Hobby, Music-Genre, Pet, Sport.
The attributes have the following possible values:
- Hobby: collecting, magic-tricks, reading, sudoku
- Music-Genre: country, folk, gospel, hip-hop
- Pet: horse, mouse, rat, turtle
- Sport: baseball, climbing, cricket, volleyball

Given the following premises about the line of people:
- Sport:climbing is on the far left
- Hobby:reading is somewhere to the right of Hobby:sudoku
- Hobby:magic-tricks is on the left of Pet:horse
- Music-Genre:country is on the left of Hobby:collecting
- Sport:cricket is in an even position
- Music-Genre:hip-hop is on the left of Music-Genre:country
- Pet:mouse is on the left or right of Music-Genre:country
- Sport:volleyball is on the right of Music-Genre:folk
- Hobby:collecting != Music-Genre:gospel
- Pet:rat is somewhere to the left of Pet:mouse

Answer the following question:

Question: Question: What is the Music-Genre of the person who has/is reading??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: gospel


There are 5 people standing in a line numbered 1 through 5 in a left to right order.
Each person has the following attributes:  Hobby, Music-Genre, Pet, Sport.
The attributes have the following possible values:
- Hobby: camping, collecting, gardening, reading, rock-climbing
- Music-Genre: blues, dubstep, electronic, indie, rock
- Pet: cat, dog, fish, hedgehog, rat
- Sport: baseball, climbing, cricket, cycling, surfing

Given the following premises about the line of people:
- Pet:dog == Sport:surfing
- Music-Genre:dubstep == Hobby:rock-climbing
- Sport:cycling is on the left or right of Pet:fish
- Music-Genre:rock == Hobby:camping
- Hobby:reading is on the left of Pet:fish
- Hobby:gardening is on the left of Sport:climbing
- Sport:surfing is between Music-Genre:blues and Music-Genre:dubstep
- Sport:surfing is somewhere to the left of Music-Genre:rock
- Music-Genre:indie == Pet:hedgehog
- Pet:cat is on the right of Pet:dog
- Music-Genre:indie is on the left of Sport:cricket
- Music-Genre:blues is on the right of Music-Genre:indie

Answer the following question:

Question: Question: What is the Music-Genre of the person who has/is reading??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: indie


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Beverage, Hobby, Sport, Transport.
The attributes have the following possible values:
- Beverage: almond-milk, iced-tea, sprite, tea
- Hobby: gardening, photography, sudoku, writing
- Sport: basketball, golf, rugby, volleyball
- Transport: bike, skateboard, train, trike

Given the following premises about the line of people:
- Beverage:sprite is on the far right
- Sport:basketball is somewhere to the left of Transport:skateboard
- Transport:train is on the left of Transport:skateboard
- Beverage:almond-milk is in an even position
- Hobby:gardening is somewhere to the right of Sport:volleyball
- Sport:golf is on the left or right of Beverage:tea
- Sport:basketball is somewhere to the right of Hobby:photography
- Hobby:photography is between Hobby:gardening and Hobby:sudoku
- Beverage:iced-tea is on the right of Transport:trike

Answer the following question:

Question: Question: What is the Beverage of the person who has/is gardening??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: iced-tea


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Nationality, Hobby, Beverage, Pet, Transport.
The attributes have the following possible values:
- Nationality: dutch, german, indonesian, malaysian
- Hobby: cooking, rock-climbing, skydiving, woodworking
- Beverage: coffee, fanta, lemonade, milk
- Pet: frog, guinea-pig, pony, rabbit
- Transport: airplane, boat, car, train

Given the following premises about the line of people:
- Beverage:coffee is somewhere to the left of Transport:train
- Pet:rabbit is on the far right
- Hobby:woodworking is on the left or right of Nationality:indonesian
- Beverage:lemonade == Transport:boat
- Beverage:milk is on the left or right of Transport:airplane
- Hobby:rock-climbing != Pet:rabbit
- Hobby:woodworking == Pet:guinea-pig
- Beverage:lemonade is on the left of Hobby:rock-climbing
- Transport:airplane is on the left or right of Pet:frog
- Hobby:woodworking is on the right of Hobby:cooking
- Nationality:german is on the far right
- Pet:guinea-pig is somewhere to the left of Nationality:dutch

Answer the following question:

Question: Question: What is the Beverage of the person who is german??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: fanta


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Beverage, Food, Hobby, Movie-Genre.
The attributes have the following possible values:
- Beverage: 7up, soy-milk, sprite, tea
- Food: banana, grapefruit, lemon, pear
- Hobby: card-games, filmmaking, fishing, reading
- Movie-Genre: documentary, martial-arts, scientific, spy

Given the following premises about the line of people:
- Hobby:fishing == Beverage:7up
- Hobby:fishing == Food:lemon
- Movie-Genre:spy is not to the right of Hobby:reading
- Food:banana is on the left or right of Hobby:fishing
- Hobby:card-games is on the left of Beverage:sprite
- Movie-Genre:spy is not to the left of Movie-Genre:documentary
- Food:lemon is on the right of Food:grapefruit
- Movie-Genre:documentary is not to the left of Beverage:tea
- Movie-Genre:martial-arts and Food:pear have the same parity positions
- Food:lemon is not to the right of Beverage:tea

Answer the following question:

Question: Question: What is the Beverage of the person who has/is fishing??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: 7up


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Nationality, Hobby, Music-Genre, Food, Sport, Transport.
The attributes have the following possible values:
- Nationality: british, dutch, egyptian, nigerian
- Hobby: camping, chess, cooking, reading
- Music-Genre: ambient, r&b, rock, salsa
- Food: orange, pomegranate, spinach, strawberry
- Sport: ice-hockey, rugby, water-polo, weightlifting
- Transport: car, subway, taxi, trike

Given the following premises about the line of people:
- Music-Genre:rock is on the right of Nationality:dutch
- Sport:ice-hockey == Hobby:chess
- Music-Genre:r&b == Transport:trike
- Food:spinach is in an even position
- Nationality:nigerian is somewhere to the left of Food:strawberry
- Hobby:reading is on the left of Food:orange
- Nationality:egyptian is in an odd position
- Sport:water-polo is somewhere to the right of Food:spinach
- Hobby:camping is on the far left or far right
- Music-Genre:salsa is somewhere to the right of Transport:car
- Music-Genre:salsa == Sport:rugby
- Sport:water-polo is between Food:spinach and Hobby:chess
- Nationality:egyptian is on the right of Transport:subway
- Nationality:egyptian is somewhere to the right of Hobby:reading

Answer the following question:

Question: Question: What is the Music-Genre of the person who has/is rugby??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: salsa


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Job, Movie-Genre, Nationality, Pet.
The attributes have the following possible values:
- Job: dressmaker, electrician, police-officer, software-developer
- Movie-Genre: comedy, romance, superhero, time-travel
- Nationality: american, colombian, indonesian, mexican
- Pet: guinea-pig, hedgehog, lizard, mouse

Given the following premises about the line of people:
- Job:police-officer is on the right of Job:dressmaker
- Nationality:mexican is on the right of Movie-Genre:comedy
- Job:police-officer is not to the right of Movie-Genre:comedy
- Pet:hedgehog == Nationality:colombian or Job:dressmaker == Pet:hedgehog or both
- Nationality:colombian is on the right of Nationality:indonesian
- Nationality:mexican is somewhere to the left of Movie-Genre:romance
- Pet:guinea-pig and Job:electrician have different parity positions
- Pet:guinea-pig is on the right of Nationality:indonesian
- Job:police-officer is not to the left of Movie-Genre:time-travel
- Nationality:american and Pet:lizard have the same parity positions

Answer the following question:

Question: Question: What is the Movie-Genre of the person who is mexican??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: superhero


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Job, Hobby, Movie-Genre, Music-Genre.
The attributes have the following possible values:
- Job: fisherman, lawyer, pilot, scientist
- Hobby: card-games, collecting, reading, video-games
- Movie-Genre: epic, horror, sports, western
- Music-Genre: classical, disco, indie, techno

Given the following premises about the line of people:
- Job:lawyer is on the left or right of Hobby:video-games
- Job:pilot is somewhere between Hobby:card-games and Job:scientist
- Movie-Genre:western != Hobby:video-games
- Hobby:reading and Movie-Genre:sports have the same parity positions
- Hobby:collecting is on the left of Movie-Genre:western
- Movie-Genre:horror == Job:lawyer
- Music-Genre:indie is in an even position
- Hobby:video-games is somewhere to the left of Music-Genre:classical
- Music-Genre:techno is on the right of Music-Genre:disco
- Hobby:card-games is on the right of Job:lawyer

Answer the following question:

Question: Question: What is the Job of the person who has/is horror??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: lawyer


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Job, Hobby, Nationality, Transport.
The attributes have the following possible values:
- Job: accountant, project-manager, teacher, writer
- Hobby: filmmaking, photography, reading, video-games
- Nationality: australian, chinese, indonesian, pakistani
- Transport: airplane, bike, bus, quad-bike

Given the following premises about the line of people:
- Job:project-manager == Nationality:indonesian
- Transport:bike == Nationality:chinese
- Hobby:photography is on the far left or far right
- Hobby:filmmaking is somewhere to the left of Nationality:indonesian
- Hobby:video-games is somewhere to the left of Hobby:photography
- Hobby:reading == Nationality:indonesian
- Hobby:filmmaking == Nationality:pakistani
- Job:accountant is in an odd position
- Hobby:filmmaking is on the right of Transport:bus
- Transport:quad-bike is somewhere to the right of Job:teacher

Answer the following question:

Question: Question: What is the Hobby of the person who is chinese??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: photography


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Nationality, Food, Movie-Genre, Beverage, Pet, Sport.
The attributes have the following possible values:
- Nationality: indonesian, italian, japanese, spanish
- Food: apricot, radish, spinach, zucchini
- Movie-Genre: disaster, mystery, spy, thriller
- Beverage: almond-milk, iced-tea, sprite, water
- Pet: cat, ferret, pony, rat
- Sport: cricket, cycling, lacrosse, skateboarding

Given the following premises about the line of people:
- Sport:cycling is in an even position
- Movie-Genre:mystery is in an odd position
- Sport:lacrosse is somewhere to the left of Beverage:almond-milk
- Nationality:spanish == Sport:cricket
- Beverage:water is on the right of Movie-Genre:spy
- Food:spinach is not to the right of Pet:rat
- Nationality:japanese == Food:zucchini
- Movie-Genre:disaster == Nationality:spanish
- Food:apricot is somewhere to the left of Pet:pony
- Beverage:iced-tea is on the left of Beverage:sprite
- Nationality:italian is somewhere between Sport:cycling and Food:zucchini
- Beverage:sprite is not to the left of Nationality:indonesian
- Pet:ferret == Food:spinach
- Food:spinach is on the left of Beverage:almond-milk

Answer the following question:

Question: Question: What is the Food of the person who is italian??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: spinach


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Nationality, Music-Genre, Food, Transport.
The attributes have the following possible values:
- Nationality: egyptian, indonesian, malaysian, thai
- Music-Genre: blues, funk, metal, reggae
- Food: mango, peas, pumpkin, radish
- Transport: car, subway, train, tram

Given the following premises about the line of people:
- Food:mango is not to the left of Music-Genre:metal
- Food:pumpkin is not to the left of Music-Genre:reggae
- Nationality:malaysian is not to the right of Music-Genre:reggae
- Food:pumpkin and Nationality:egyptian have different parity positions
- Food:mango is somewhere between Music-Genre:metal and Music-Genre:funk
- Food:peas and Transport:tram have different parity positions
- Transport:car == Nationality:indonesian or Transport:car == Music-Genre:funk, but not both
- Transport:subway == Music-Genre:funk or Transport:subway == Nationality:egyptian or both
- Music-Genre:funk and Food:radish have different parity positions
- Nationality:thai is somewhere between Food:radish and Transport:subway
- Music-Genre:funk is not to the right of Nationality:thai

Answer the following question:

Question: Question: What is the Music-Genre of the person who has/is mango??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: reggae


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Job, Hobby, Nationality, Pet.
The attributes have the following possible values:
- Job: coach, engineer, freelancer, musician
- Hobby: hiking, puzzles, singing, skydiving
- Nationality: indonesian, mexican, russian, thai
- Pet: bird, dog, lizard, turtle

Given the following premises about the line of people:
- Hobby:puzzles is on the right of Pet:dog
- Job:engineer is on the left of Nationality:thai
- Job:freelancer is not to the right of Hobby:hiking
- Pet:turtle is not to the left of Job:engineer
- Pet:lizard is somewhere to the right of Hobby:skydiving
- Pet:dog is on the far left or far right
- Hobby:puzzles is not to the left of Pet:turtle
- Job:musician is somewhere to the left of Nationality:russian
- Pet:turtle is somewhere to the right of Hobby:hiking
- Nationality:indonesian is on the left of Job:musician

Answer the following question:

Question: Question: What is the Nationality of the person who is musician??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: thai


There are 6 people standing in a line numbered 1 through 6 in a left to right order.
Each person has the following attributes:  Job, Pet, Sport, Transport.
The attributes have the following possible values:
- Job: accountant, designer, engineer, librarian, social-worker, videographer
- Pet: cat, chinchilla, goldfish, hedgehog, horse, rat
- Sport: biathlon, parkour, rugby, sailing, skateboarding, surfing
- Transport: airplane, boat, jet-ski, ship, subway, train

Given the following premises about the line of people:
- Transport:ship is on the far left
- Job:engineer is on the left or right of Pet:cat
- Job:designer is somewhere to the right of Pet:rat
- Pet:hedgehog is on the left or right of Transport:ship
- Transport:subway is on the left of Pet:chinchilla
- Transport:ship is on the left or right of Sport:biathlon
- Job:videographer is on the right of Pet:rat
- Transport:jet-ski is on the left of Sport:skateboarding
- Job:videographer == Sport:parkour
- Transport:ship is on the left or right of Job:social-worker
- Sport:biathlon is somewhere to the left of Job:accountant
- Job:designer is on the left or right of Sport:sailing
- Transport:ship == Pet:goldfish
- Sport:surfing is somewhere between Transport:subway and Transport:airplane
- Transport:train is on the right of Transport:boat

Answer the following question:

Question: Question: What is the Sport of the person who is librarian??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: rugby


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Nationality, Hobby, Music-Genre, Beverage, Pet, Transport.
The attributes have the following possible values:
- Nationality: dutch, french, pakistani, russian
- Hobby: baking, collecting, cooking, woodworking
- Music-Genre: classical, d&b, jazz, pop
- Beverage: coffee, cola, juice, sprite
- Pet: ferret, fish, goldfish, hamster
- Transport: boat, quad-bike, subway, trike

Given the following premises about the line of people:
- Music-Genre:jazz is not to the right of Pet:goldfish
- Hobby:collecting and Nationality:french have the same parity positions
- Beverage:juice == Pet:fish
- Hobby:cooking is not to the right of Pet:goldfish
- Music-Genre:jazz and Nationality:pakistani have the same parity positions
- Pet:fish is on the far right
- Hobby:woodworking == Beverage:sprite or Hobby:woodworking == Music-Genre:classical, but not both
- Transport:boat is on the far right
- Beverage:sprite is somewhere to the right of Beverage:coffee
- Transport:subway is not to the left of Hobby:baking
- Music-Genre:d&b and Pet:ferret have different parity positions
- Pet:hamster is on the left of Pet:goldfish
- Hobby:collecting == Beverage:cola
- Nationality:dutch is on the left of Music-Genre:classical
- Pet:ferret is somewhere to the right of Nationality:french
- Beverage:cola is somewhere to the right of Transport:trike

Answer the following question:

Question: Question: What is the Beverage of the person who has/is pop??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: sprite


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Beverage, Pet, Sport, Transport.
The attributes have the following possible values:
- Beverage: coffee, iced-tea, lemonade, milk
- Pet: chinchilla, goat, horse, mouse
- Sport: cycling, handball, lacrosse, tennis
- Transport: car, motorbike, skateboard, van

Given the following premises about the line of people:
- Sport:tennis == Pet:horse
- Transport:van == Beverage:milk
- Sport:lacrosse is on the far right
- Beverage:iced-tea is somewhere to the left of Beverage:coffee
- Sport:cycling is somewhere to the right of Beverage:coffee
- Transport:skateboard is on the left or right of Transport:car
- Transport:van is somewhere between Pet:goat and Pet:mouse
- Beverage:coffee is on the right of Transport:car
- Sport:tennis is on the left of Pet:goat

Answer the following question:

Question: Question: What is the Beverage of the person who has/is chinchilla??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: milk


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Beverage, Food, Pet, Transport.
The attributes have the following possible values:
- Beverage: iced-tea, juice, sprite, water
- Food: asparagus, carrot, cucumber, lemon
- Pet: chinchilla, hamster, snake, turtle
- Transport: airplane, boat, jet-ski, skateboard

Given the following premises about the line of people:
- Pet:chinchilla != Beverage:iced-tea
- Pet:hamster == Beverage:water
- Food:lemon == Transport:jet-ski
- Pet:hamster is on the left of Transport:skateboard
- Beverage:sprite is somewhere to the left of Food:lemon
- Food:asparagus is somewhere to the left of Pet:snake
- Food:carrot == Beverage:juice
- Food:carrot is somewhere to the left of Pet:chinchilla
- Pet:snake is somewhere to the left of Transport:boat

Answer the following question:

Question: Question: What is the Beverage of the person who has/is asparagus??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: water


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Job, Movie-Genre, Music-Genre, Transport.
The attributes have the following possible values:
- Job: dancer, firefighter, fisherman, librarian
- Movie-Genre: action, romance, sports, western
- Music-Genre: country, folk, jazz, reggae
- Transport: bus, roller, ship, subway

Given the following premises about the line of people:
- Transport:roller and Movie-Genre:western have different parity positions
- Transport:ship and Job:firefighter have different parity positions
- Music-Genre:folk is somewhere to the left of Transport:ship
- Job:librarian == Music-Genre:reggae or Job:librarian == Transport:bus, but not both
- Job:fisherman and Transport:ship have different parity positions
- Transport:roller and Movie-Genre:action have different parity positions
- Job:firefighter != Music-Genre:jazz
- Job:fisherman is somewhere to the right of Job:librarian
- Movie-Genre:western is not to the left of Movie-Genre:romance
- Job:dancer is somewhere to the left of Movie-Genre:sports
- Job:dancer is somewhere to the left of Transport:bus
- Transport:ship is somewhere to the left of Job:firefighter

Answer the following question:

Question: Question: What is the Job of the person who has/is action??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: librarian


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Job, Hobby, Music-Genre, Nationality.
The attributes have the following possible values:
- Job: dressmaker, photographer, pilot, security-guard
- Hobby: board-games, gardening, skydiving, writing
- Music-Genre: country, dubstep, punk, salsa
- Nationality: argentine, chinese, malaysian, nigerian

Given the following premises about the line of people:
- Job:pilot is not to the right of Music-Genre:country
- Hobby:board-games is on the left or right of Hobby:gardening
- Hobby:writing is on the left or right of Job:dressmaker
- Nationality:nigerian == Music-Genre:punk
- Music-Genre:salsa is on the left of Music-Genre:punk
- Nationality:nigerian is on the far left or far right
- Hobby:gardening == Music-Genre:salsa or Hobby:gardening == Nationality:argentine, but not both
- Hobby:board-games is not to the right of Nationality:chinese
- Hobby:writing == Music-Genre:dubstep or Nationality:chinese == Hobby:writing, but not both
- Nationality:malaysian is somewhere to the left of Job:photographer
- Nationality:chinese is somewhere between Music-Genre:dubstep and Music-Genre:salsa

Answer the following question:

Question: Question: What is the Hobby of the person who has/is punk??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: skydiving


There are 6 people standing in a line numbered 1 through 6 in a left to right order.
Each person has the following attributes:  Beverage, Food, Hobby, Transport.
The attributes have the following possible values:
- Beverage: 7up, iced-tea, juice, lemonade, mirinda, sprite
- Food: carrot, cauliflower, lemon, pumpkin, radish, raspberry
- Hobby: camping, card-games, hiking, puzzles, skydiving, video-games
- Transport: bus, jet-ski, quad-bike, subway, train, trike

Given the following premises about the line of people:
- Food:radish == Hobby:camping
- Transport:subway is somewhere to the right of Food:lemon
- Food:lemon is somewhere to the right of Transport:bus
- Hobby:hiking is on the left of Hobby:skydiving
- Transport:quad-bike is somewhere to the left of Food:cauliflower
- Hobby:video-games == Transport:train
- Beverage:iced-tea is on the left of Food:raspberry
- Transport:bus == Hobby:camping
- Food:pumpkin == Hobby:puzzles
- Beverage:sprite is on the left of Beverage:lemonade
- Beverage:7up is on the far right
- Food:carrot is on the right of Beverage:juice
- Food:cauliflower is on the left of Food:raspberry
- Hobby:video-games == Food:lemon
- Transport:trike is somewhere to the left of Hobby:skydiving
- Beverage:mirinda is somewhere to the right of Transport:subway

Answer the following question:

Question: Question: What is the Food of the person who has/is skydiving??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: raspberry


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Food, Hobby, Music-Genre, Pet.
The attributes have the following possible values:
- Food: carrot, lemon, peach, pumpkin
- Hobby: puzzles, reading, video-games, woodworking
- Music-Genre: ambient, classical, folk, house
- Pet: chinchilla, guinea-pig, hamster, lizard

Given the following premises about the line of people:
- Music-Genre:classical and Food:pumpkin have the same parity positions
- Food:lemon is somewhere between Music-Genre:ambient and Food:pumpkin
- Music-Genre:classical == Hobby:puzzles or Pet:guinea-pig == Music-Genre:classical or both
- Food:peach is somewhere to the left of Food:lemon
- Pet:chinchilla is somewhere between Food:peach and Food:lemon
- Hobby:reading is not to the right of Hobby:puzzles
- Hobby:video-games == Pet:guinea-pig or Hobby:video-games == Music-Genre:classical or both
- Music-Genre:house is somewhere to the right of Music-Genre:ambient
- Music-Genre:house is somewhere to the right of Music-Genre:folk
- Hobby:woodworking is not to the left of Food:pumpkin
- Pet:lizard is not to the left of Music-Genre:folk

Answer the following question:

Question: Question: What is the Hobby of the person who has/is house??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: woodworking


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Nationality, Hobby, Music-Genre, Beverage.
The attributes have the following possible values:
- Nationality: canadian, chinese, colombian, thai
- Hobby: card-games, filmmaking, gardening, woodworking
- Music-Genre: disco, rock, salsa, trance
- Beverage: coffee, milk, sprite, tea

Given the following premises about the line of people:
- Hobby:filmmaking == Music-Genre:trance or Music-Genre:trance == Nationality:thai or both
- Music-Genre:rock is on the left or right of Hobby:card-games
- Beverage:sprite is between Beverage:tea and Nationality:chinese
- Music-Genre:disco is in an even position
- Music-Genre:trance is somewhere to the right of Beverage:tea
- Nationality:chinese is not to the right of Nationality:thai
- Beverage:tea is somewhere to the right of Beverage:milk
- Nationality:canadian is on the left or right of Hobby:woodworking
- Nationality:thai is on the left or right of Music-Genre:rock
- Nationality:canadian is somewhere to the right of Nationality:thai
- Music-Genre:salsa is somewhere to the left of Music-Genre:rock

Answer the following question:

Question: Question: What is the Hobby of the person who has/is trance??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: filmmaking


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Job, Hobby, Beverage, Movie-Genre, Transport.
The attributes have the following possible values:
- Job: designer, journalist, pilot, teacher
- Hobby: reading, singing, skydiving, traveling
- Beverage: 7up, iced-tea, juice, soy-milk
- Movie-Genre: action, animation, martial-arts, western
- Transport: jet-ski, motorbike, quad-bike, train

Given the following premises about the line of people:
- Movie-Genre:animation is on the left of Transport:quad-bike
- Movie-Genre:animation is in an odd position
- Movie-Genre:animation is on the left or right of Beverage:iced-tea
- Beverage:iced-tea == Hobby:skydiving
- Movie-Genre:action is somewhere to the left of Job:teacher
- Job:pilot is on the left or right of Job:designer
- Transport:train is not to the right of Hobby:traveling
- Hobby:reading is somewhere to the right of Hobby:traveling
- Transport:motorbike == Beverage:juice
- Beverage:soy-milk != Job:teacher
- Movie-Genre:martial-arts is somewhere between Beverage:7up and Job:journalist
- Transport:train != Job:journalist
- Job:pilot is not to the right of Movie-Genre:martial-arts
- Beverage:7up is on the right of Beverage:iced-tea

Answer the following question:

Question: Question: What is the Movie-Genre of the person who has/is juice??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: western


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Nationality, Hobby, Pet, Transport.
The attributes have the following possible values:
- Nationality: german, mexican, spanish, thai
- Hobby: baking, collecting, filmmaking, fishing
- Pet: cat, frog, rat, turtle
- Transport: car, motorbike, scooter, ship

Given the following premises about the line of people:
- Hobby:filmmaking is not to the right of Nationality:thai
- Transport:ship is not to the left of Nationality:spanish
- Pet:frog == Nationality:mexican or Pet:frog == Transport:scooter, but not both
- Transport:car is not to the left of Nationality:thai
- Hobby:fishing is not to the right of Hobby:filmmaking
- Pet:turtle and Hobby:baking have different parity positions
- Transport:motorbike is not to the left of Transport:ship
- Nationality:spanish == Transport:motorbike or Transport:motorbike == Pet:turtle, but not both
- Transport:car is somewhere to the left of Nationality:spanish
- Pet:rat and Transport:car have different parity positions

Answer the following question:

Question: Question: What is the Hobby of the person who is german??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: fishing


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Job, Movie-Genre, Music-Genre, Nationality, Transport.
The attributes have the following possible values:
- Job: bartender, engineer, journalist, musician
- Movie-Genre: adventure, crime, fantasy, satire
- Music-Genre: ambient, funk, soul, techno
- Nationality: american, argentine, thai, turkish
- Transport: bus, scooter, subway, tram

Given the following premises about the line of people:
- Music-Genre:soul is not to the right of Nationality:argentine
- Movie-Genre:adventure is on the left or right of Movie-Genre:fantasy
- Transport:subway is somewhere to the left of Job:bartender
- Nationality:argentine is somewhere to the left of Transport:scooter
- Movie-Genre:satire is not to the right of Nationality:turkish
- Movie-Genre:satire is somewhere to the left of Transport:bus
- Job:engineer is in an odd position
- Transport:tram != Nationality:american
- Nationality:american is in an even position
- Music-Genre:ambient == Movie-Genre:crime or Music-Genre:ambient == Nationality:thai or both
- Movie-Genre:fantasy is somewhere to the right of Movie-Genre:adventure
- Transport:tram is on the left or right of Transport:subway
- Movie-Genre:satire == Transport:subway or Movie-Genre:satire == Job:journalist, but not both
- Nationality:argentine is somewhere to the right of Music-Genre:techno
- Job:journalist is somewhere to the right of Nationality:american
- Music-Genre:soul is not to the left of Job:journalist

Answer the following question:

Question: Question: What is the Music-Genre of the person who has/is adventure??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: soul


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Job, Food, Movie-Genre, Music-Genre, Nationality, Sport.
The attributes have the following possible values:
- Job: coach, freelancer, scientist, videographer
- Food: apricot, cabbage, onion, plum
- Movie-Genre: epic, fantasy, musical, sports
- Music-Genre: disco, gospel, metal, soul
- Nationality: mexican, nigerian, spanish, turkish
- Sport: ice-hockey, lacrosse, parkour, rugby

Given the following premises about the line of people:
- Nationality:mexican is somewhere to the right of Movie-Genre:epic
- Movie-Genre:fantasy is on the left of Nationality:spanish
- Job:scientist == Movie-Genre:sports
- Sport:parkour == Movie-Genre:fantasy
- Music-Genre:disco is on the far right
- Nationality:spanish is on the left of Movie-Genre:epic
- Nationality:nigerian is on the left or right of Music-Genre:metal
- Food:plum is on the left of Music-Genre:disco
- Sport:ice-hockey is on the left of Nationality:nigerian
- Food:onion is on the left or right of Sport:ice-hockey
- Job:videographer is between Job:coach and Food:apricot
- Music-Genre:gospel is on the left of Sport:lacrosse
- Job:scientist == Music-Genre:disco

Answer the following question:

Question: Question: What is the Job of the person who has/is plum??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: videographer


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Job, Beverage, Movie-Genre, Nationality, Sport.
The attributes have the following possible values:
- Job: coach, designer, lawyer, security-guard
- Beverage: iced-tea, mirinda, sprite, tea
- Movie-Genre: fantasy, mystery, sports, thriller
- Nationality: canadian, colombian, indonesian, pakistani
- Sport: lacrosse, rowing, rugby, skiing

Given the following premises about the line of people:
- Beverage:sprite and Sport:lacrosse have the same parity positions
- Sport:lacrosse is on the left of Sport:rugby
- Job:lawyer != Nationality:canadian
- Sport:skiing is not to the right of Sport:lacrosse
- Beverage:iced-tea is not to the left of Job:security-guard
- Nationality:colombian is not to the right of Sport:rowing
- Nationality:canadian is on the right of Movie-Genre:sports
- Job:coach is somewhere to the right of Job:designer
- Beverage:sprite is not to the left of Job:coach
- Nationality:indonesian != Movie-Genre:fantasy
- Beverage:sprite is on the left or right of Beverage:mirinda
- Movie-Genre:fantasy is on the left of Job:coach
- Sport:skiing is on the right of Movie-Genre:thriller
- Job:lawyer != Nationality:pakistani

Answer the following question:

Question: Question: What is the Beverage of the person who is colombian??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: tea


There are 4 people standing in a line numbered 1 through 4 in a left to right order.
Each person has the following attributes:  Food, Music-Genre, Pet, Transport.
The attributes have the following possible values:
- Food: artichoke, eggplant, grapes, pineapple
- Music-Genre: electronic, gospel, jazz, soul
- Pet: chinchilla, dog, frog, lizard
- Transport: boat, bus, quad-bike, snowmobile

Given the following premises about the line of people:
- Transport:bus is on the left or right of Transport:boat
- Music-Genre:soul == Transport:boat or Music-Genre:soul == Food:grapes, but not both
- Food:eggplant == Music-Genre:jazz
- Food:artichoke is on the left of Pet:dog
- Music-Genre:electronic is between Transport:boat and Food:eggplant
- Pet:frog is not to the left of Transport:snowmobile
- Pet:lizard is in an odd position
- Pet:lizard and Transport:boat have different parity positions
- Transport:snowmobile == Food:artichoke
- Music-Genre:gospel and Food:pineapple have the same parity positions

Answer the following question:

Question: Question: What is the Pet of the person who has/is electronic??
 Please provide your answer in the format: \boxed{X}, where X is the answer.

Answer: frog