Anastasia is taking a walk in the plane, starting from \((1,0)\). Each second, if she is at \((x, y)\), she moves to one of the points \((x-1, y)\), \((x+1, y)\), \((x, y-1)\), and \((x, y+1)\), each with \(\frac{1}{4}\) probability. She stops as soon as she hits a point of the form \((k, k)\). What is the probability that \(k\) is divisible by 3 when she stops?

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


Mark writes the expression \(\sqrt{d}\) for each positive divisor \(d\) of \(8!\) on the board. Rishabh then simplifies each expression to the form \(a \sqrt{b}\), where \(a\) and \(b\) are integers, and \(b\) is not divisible by the square of a prime number. For example, \(\sqrt{20}, \sqrt{16}\), and \(\sqrt{6}\) simplify to \(2 \sqrt{5}, 4 \sqrt{1}\), and \(1 \sqrt{6}\), respectively. Compute the sum of \(a + b\) across all expressions that Rishabh writes.

Answer: 3480


Let \(x, y\), and \(N\) be real numbers, with \(y\) nonzero, such that the sets \(\left\{(x+y)^{2},(x-y)^{2}, x y, x / y\right\}\) and \(\{4, 12.8, 28.8, N\}\) are equal. Compute the sum of the possible values of \(N\).

Answer: 85.2


In a square with a side length of 1, 101 points are arbitrarily chosen (not necessarily inside the square, some may be on the sides), and no three of them are collinear. Prove that there exists...

Answer: \frac{1}{100}


The teacher invented a puzzle by replacing the example \(a + b = c\) with the addition of two natural numbers with their digits replaced by letters: identical digits are replaced by identical letters, and different digits by different letters. (For example, if \(a = 23\), \(b = 528\), then \(c = 551\), resulting in the puzzle \(A B + V A \Gamma = VVD\) precisely up to the choice of letters). It turned out that the original example can be uniquely restored from the given puzzle. Find the smallest possible value of the sum \(c\).

Answer: 10


Two different natural numbers are written on the board, with the larger one being equal to 1580. It is allowed to replace one of the numbers with their arithmetic mean (if it is an integer). It is known that this operation was performed 10 times. Find out what numbers were originally written on the board.

Answer: 556


A plane divides the medians of the faces $ABC$, $ACD$, and $ABD$ of a tetrahedron $ABCD$ emanating from vertex $A$ in the ratios $1:2$, $1:1$, and $1:2$ respectively, considering from point $A$. Find the ratio of the volumes of the parts into which this plane divides the tetrahedron.

Answer: \frac{1}{15}


A dandelion blooms in the morning, stays yellow for two days, turns white on the third morning, and disperses by the evening. Yesterday afternoon, there were 20 yellow and 14 white dandelions in the meadow, and today there are 15 yellow and 11 white.

a) How many yellow dandelions were in the meadow the day before yesterday?

b) How many white dandelions will be in the meadow tomorrow?

Answer: 9


There are 10 people sitting around a round table, some of whom are knights and the rest are liars (knights always tell the truth, and liars always lie). It is known that among them there is at least one knight and at least one liar. What is the maximum number of people sitting at the table that can say: "Both of my neighbors are knights"? (A statement is considered false if it is even partially untrue.)

Answer: 9


In a square room, there is a bulb on each wall that can shine one of the seven colors of the rainbow. There are no bulbs in the room that shine the same color. With each move, a person can change the color of one bulb to a color that no bulb is currently shining, while also changing the colors of the two other bulbs to the remaining two unused colors. (After the move, there still won't be two bulbs with the same color in the room). What is the minimum number of moves required so that eventually, each bulb has shone each of the seven colors?

Answer: 8


Points \( D \) and \( E \) are marked on the sides \( AC \) and \( BC \) of triangle \( ABC \) respectively, such that \( AD = EC \). It is known that \( BD = ED \) and \(\angle BDC = \angle DEB\). Find the length of segment \( AC \) given that \( AB = 7 \) and \( BE = 2 \).

Answer: 12


Suppose the "complexity" of a number is the minimum possible length of a sequence (if any) that begins with 0 and ends with that number, with each subsequent term either equal to half of the previous term or equal to the sum of the previous term and the previous term, which is equal to 1. (The length of the empty sequence is assumed to be 0.) Find the number with the largest "complexity" among all numbers of the form $\frac m {2^{50}}$, where $m = 1, 3, 5, . . . , 2^{50} − 1.$. If the number $\frac{a}{b}+\frac{c}{b}\cdot\left(\frac{1}{2}\right)^{50}$ has the largest "complexity", equal to 101, find the value of $a+b+c$.

Answer: 6


In the representation of numbers A and B as decimal fractions, the lengths of their minimal periods are equal to 6 and 12, respectively. What might the length of the minimal period in the similar representation of $A + B$ be? Find all answers and provide the sum of these possible lengths.

Answer: 16


Let $n$ be a positive integer. We arrange $1+2+\cdots+n$ circles in a triangle with $n$ rows, such that the $i^{\text {th }}$ row contains exactly $i$ circles. The following figure shows the case $n=6$. In this triangle, a ninja-path is a sequence of circles obtained by repeatedly going from a circle to one of the two circles directly below it. In terms of $n$, find the largest value of $k$ such that if one circle from every row is coloured red, we can always find a ninja-path in which at least $k$ of the circles are red. Please provide the smallest value of $n$ for which $k = 11$.

Answer: 1024


Determine all pairs $(a, p)$ of positive integers with $p$ prime such that $p^{a}+a^{4}$ is a perfect square. Please provide the sum of all elements in these pairs.

Answer: 30


Given integers $m, n \geqslant 2$. Color each cell of an $m$-row by $n$-column grid $S$ with either red or blue such that the following condition is satisfied: For any two cells in the same row, if both are colored red, then one column must have all cells colored red, and the other column must have at least one cell colored blue. Find the number of different coloring methods. Please provide the value when $m = 2$ and $n = 3$.

Answer: 34


Let $\left(a_{n}\right)_{n \in \mathbb{N}}$ be the sequence defined by
$$
a_{0}=1, a_{n+1}=\frac{1}{n+1} \sum_{k=0}^{n} \frac{a_{k}}{n-k+2}
$$
Find the limit
$$
\lim _{n \rightarrow \infty} \sum_{k=0}^{n} \frac{a_{k}}{2^{k}}
$$
if it exists. The original answer is in the form $f\left(\frac{a}{b}\right)=\frac{e}{c}$, please give the value of a+b+c.

Answer: 5


Let \(ABC\) be an equilateral triangle. \(D\) and \(E\) are midpoints of \([AB]\) and \([AC]\). The ray \([DE\) cuts the circumcircle of \(\triangle ABC\) at \(F\). The original answer is in the form \(\frac{\sqrt{k} - m}{n}\). Please find the value of \(k + m + n\).

Answer: 8


The numbers from 1 to 1996 are written sequentially as follows: 12345678910111213... up to 1996. Find how many zeros appear in this sequence.

Answer: 489


Jane and Jena sit at non-adjacent chairs of a four-chair circular table. In a turn, one person can move to an adjacent chair without a person. Jane moves in the first turn, and alternates with Jena afterwards. After nine moves, in how many ways can Jena be adjacent to Jane?

Answer: 32


A rectangle with perimeter $176$ is divided into five congruent rectangles as shown in the diagram. What is the perimeter of one of the five congruent rectangles?

Answer: 80


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

## Clues:
1. There is one house between the person who goes on cultural tours and Alice.
2. The person whose birthday is in February is Peter.
3. The person whose birthday is in January is the person who enjoys camping trips.
4. Eric and Arnold are next to each other.
5. Carol is the person who likes going on cruises.
6. The person whose birthday is in January is directly left of Arnold.
7. The root beer lover is somewhere to the right of the person whose birthday is in April.
8. The person whose birthday is in September is the tea drinker.
9. The coffee drinker is Alice.
10. The person whose birthday is in March is Alice.
11. The person who prefers city breaks is the one who only drinks water.
12. The person whose birthday is in September is in the second house.
13. Bob is directly left of the boba tea drinker.
14. There is one house between the coffee drinker and the one who only drinks water.
15. The person who loves beach vacations and the coffee drinker are next to each other.
 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 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`, `Eric`, `Carol`, `Alice`, `Peter`
 - Each person has a unique level of education: `doctorate`, `trade school`, `associate`, `high school`, `bachelor`, `master`
 - People own unique car models: `chevrolet silverado`, `ford f150`, `honda civic`, `tesla model 3`, `bmw 3 series`, `toyota camry`
 - Each person has a unique favorite drink: `tea`, `water`, `boba tea`, `coffee`, `root beer`, `milk`
 - They all have a unique favorite flower: `carnations`, `iris`, `lilies`, `tulips`, `daffodils`, `roses`

## Clues:
1. Eric is the one who only drinks water.
2. The person with an associate's degree is the person who owns a Toyota Camry.
3. The boba tea drinker is in the fourth house.
4. The person who loves the vase of tulips is directly left of the person who owns a Tesla Model 3.
5. The person with a master's degree is somewhere to the left of the person who owns a BMW 3 Series.
6. The person who owns a Toyota Camry is directly left of the person who loves a bouquet of daffodils.
7. The person who loves the boquet of iris is somewhere to the left of the root beer lover.
8. The person who likes milk is somewhere to the right of the person who owns a Honda Civic.
9. Carol is the person who owns a Honda Civic.
10. The person with a high school diploma is in the second house.
11. The person with a master's degree is the boba tea drinker.
12. The person who owns a Tesla Model 3 is Arnold.
13. The person who loves the boquet of lilies is the person who owns a Tesla Model 3.
14. The person who loves a carnations arrangement is somewhere to the left of Alice.
15. The person with a bachelor's degree is somewhere to the right of the person who likes milk.
16. The one who only drinks water is the person who owns a Ford F-150.
17. Carol is somewhere to the left of the person with a doctorate.
18. There are two houses between the person who owns a Toyota Camry and the person who loves the vase of tulips.
19. The person who owns a Tesla Model 3 is somewhere to the left of the coffee drinker.
20. Bob is in the third house.
 What is the value of attribute House for the person whose attribute Flower is roses? Please reason step by step, and put your final answer within \boxed{}

Answer: 6


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`
 - People have unique favorite music genres: `rock`, `jazz`, `pop`, `classical`
 - Everyone has a favorite smoothie: `dragonfruit`, `watermelon`, `desert`, `cherry`
 - People have unique hair colors: `red`, `black`, `brown`, `blonde`
 - People have unique favorite book genres: `science fiction`, `fantasy`, `romance`, `mystery`

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

Answer: rock


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

## Clues:
1. The person who loves the vase of tulips is directly left of the person who loves a bouquet of daffodils.
2. Alice is somewhere to the right of Peter.
3. There are two houses between Carol and Peter.
4. The person who loves the boquet of lilies is Bob.
5. The person who loves the boquet of iris is not in the second house.
6. The person who loves the boquet of iris and the person who loves a carnations arrangement are next to each other.
7. Arnold is not in the second house.
8. The person who loves a bouquet of daffodils is Peter.
9. Bob is in the fifth house.
 What is the value of attribute House for the person whose attribute Name is Peter? Please reason step by step, and put your final answer within \boxed{}

Answer: 4


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Peter`, `Eric`, `Arnold`, `Alice`
 - Each person has a favorite color: `blue`, `red`, `green`, `yellow`, `white`
 - Everyone has a unique favorite cigar: `dunhill`, `prince`, `pall mall`, `blends`, `blue master`
 - People have unique hair colors: `blonde`, `brown`, `red`, `gray`, `black`
 - Each person has a unique favorite drink: `tea`, `milk`, `coffee`, `water`, `root beer`
 - The people are of nationalities: `dane`, `swede`, `german`, `brit`, `norwegian`

## Clues:
1. The Norwegian is directly left of the Prince smoker.
2. The person who loves yellow is somewhere to the right of the tea drinker.
3. The person who has blonde hair is the Norwegian.
4. The root beer lover is somewhere to the left of the Dane.
5. There is one house between the person whose favorite color is red and the person who has black hair.
6. The German is in the third house.
7. The person who loves blue is not in the fourth house.
8. The person whose favorite color is red and the Dunhill smoker are next to each other.
9. The root beer lover is directly left of the German.
10. The Norwegian is Eric.
11. The British person is the person who likes milk.
12. Peter is the person who smokes many unique blends.
13. The coffee drinker is directly left of the Swedish person.
14. The person who smokes Blue Master is somewhere to the left of the person who smokes many unique blends.
15. The person who has gray hair is directly left of the person who has red hair.
16. The person who loves blue is somewhere to the right of the one who only drinks water.
17. Arnold is the person who has brown hair.
18. The person who has gray hair is not in the third house.
19. The coffee drinker is the person whose favorite color is green.
20. The Dunhill smoker is Alice.
 What is the value of attribute Nationality for the person whose attribute Color is red? Please reason step by step, and put your final answer within \boxed{}

Answer: swede


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`, `Alice`, `Arnold`, `Eric`, `Carol`, `Bob`
 - People own unique car models: `toyota camry`, `ford f150`, `chevrolet silverado`, `tesla model 3`, `bmw 3 series`, `honda civic`
 - The people keep unique animals: `horse`, `fish`, `cat`, `rabbit`, `bird`, `dog`
 - Everyone has a favorite smoothie: `cherry`, `watermelon`, `desert`, `dragonfruit`, `lime`, `blueberry`

## Clues:
1. The fish enthusiast is in the first house.
2. Peter is in the second house.
3. The person who owns a Chevrolet Silverado is Eric.
4. Alice is directly left of the person who owns a Toyota Camry.
5. The Watermelon smoothie lover is directly left of Bob.
6. The cat lover is Peter.
7. There are two houses between the dog owner and the person who drinks Blueberry smoothies.
8. The Watermelon smoothie lover is directly left of the person who keeps horses.
9. The person who owns a Chevrolet Silverado and the person who owns a Ford F-150 are next to each other.
10. The person who drinks Lime smoothies is not in the second house.
11. The cat lover is the person who owns a Tesla Model 3.
12. The person who likes Cherry smoothies is the rabbit owner.
13. The person who drinks Blueberry smoothies is somewhere to the right of Alice.
14. The person who owns a Chevrolet Silverado is not in the fifth house.
15. The person who keeps horses is the Desert smoothie lover.
16. Carol is the bird keeper.
17. The person who owns a Honda Civic is Arnold.
 What is the value of attribute House for the person whose attribute Animal is cat? Please reason step by step, and put your final answer within \boxed{}

Answer: 2


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`
 - Everyone has a unique favorite cigar: `dunhill`, `prince`, `blue master`, `pall mall`
 - People have unique favorite book genres: `mystery`, `romance`, `science fiction`, `fantasy`

## Clues:
1. There is one house between the person partial to Pall Mall and the person who loves mystery books.
2. There is one house between Eric and the person who loves mystery books.
3. The person who loves romance books is the Dunhill smoker.
4. Peter is not in the fourth house.
5. The person who loves science fiction books is Eric.
6. The person who loves fantasy books is not in the fourth house.
7. The Prince smoker and the Dunhill smoker are next to each other.
8. Arnold is the person who loves mystery books.
9. The Prince smoker is not in the fourth house.
10. The person who loves science fiction books is somewhere to the left of Arnold.
 What is the value of attribute House for the person whose attribute BookGenre is fantasy? Please reason step by step, and put your final answer within \boxed{}

Answer: 2


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`
 - Each person has a unique birthday month: `sept`, `april`, `feb`, `jan`
 - Everyone has something unique for lunch: `pizza`, `spaghetti`, `grilled cheese`, `stew`
 - Each person has a unique hobby: `cooking`, `gardening`, `painting`, `photography`
 - Each person has an occupation: `teacher`, `artist`, `engineer`, `doctor`
 - Each mother is accompanied by their child: `Bella`, `Samantha`, `Fred`, `Meredith`

## Clues:
1. The person who is a teacher is the person who loves cooking.
2. The person whose birthday is in January is directly left of Eric.
3. The person who is an artist is not in the fourth house.
4. The person who loves the spaghetti eater is not in the third house.
5. The person's child is named Bella is the person who paints as a hobby.
6. The person whose birthday is in January is the person who is a teacher.
7. The person who paints as a hobby is the person who is a doctor.
8. The person whose birthday is in September is directly left of Arnold.
9. The person who is a pizza lover is Peter.
10. The person who loves the stew is somewhere to the left of the photography enthusiast.
11. Arnold is the person's child is named Meredith.
12. The person whose birthday is in January is directly left of the person whose birthday is in September.
13. The person whose birthday is in April is in the fourth house.
14. The person's child is named Fred is directly left of the person whose birthday is in April.
15. Alice is in the first house.
16. The person whose birthday is in April is the person who enjoys gardening.
 What is the value of attribute Food for the person whose attribute Children is Bella? Please reason step by step, and put your final answer within \boxed{}

Answer: stew


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

## Clues:
1. The person who uses a Google Pixel 6 is directly left of the person whose birthday is in March.
2. The person who is a nurse is Eric.
3. Arnold is directly left of the person whose birthday is in April.
4. Alice and the person whose birthday is in January are next to each other.
5. The person who is an artist is the person whose birthday is in May.
6. The person whose birthday is in September is not in the sixth house.
7. There is one house between the person whose birthday is in March and the person who is a nurse.
8. The person whose birthday is in March is the person who is a lawyer.
9. The person who uses a Xiaomi Mi 11 is directly left of the person who is a nurse.
10. The person who is a teacher is not in the sixth house.
11. Eric is the person who uses an iPhone 13.
12. The person who is an engineer and Peter are next to each other.
13. The person whose birthday is in January is in the third house.
14. The person who uses a Samsung Galaxy S21 is Bob.
15. The person who is a lawyer and the person whose birthday is in April are next to each other.
16. The person who uses a OnePlus 9 is somewhere to the right of the person who is a doctor.
 What is the value of attribute PhoneModel for the person whose attribute Name is Carol? Please reason step by step, and put your final answer within \boxed{}

Answer: xiaomi mi 11


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Carol`, `Arnold`, `Bob`, `Eric`, `Peter`, `Alice`
 - People use unique phone models: `iphone 13`, `huawei p50`, `oneplus 9`, `google pixel 6`, `xiaomi mi 11`, `samsung galaxy s21`
 - Everyone has a unique favorite cigar: `pall mall`, `yellow monster`, `prince`, `blends`, `dunhill`, `blue master`
 - Each person prefers a unique type of vacation: `cultural`, `beach`, `city`, `camping`, `cruise`, `mountain`
 - People have unique hair colors: `brown`, `red`, `gray`, `black`, `blonde`, `auburn`
 - Each person has a unique favorite drink: `coffee`, `boba tea`, `milk`, `water`, `root beer`, `tea`

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

Answer: oneplus 9


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Peter`, `Eric`, `Bob`, `Carol`, `Arnold`
 - People have unique favorite sports: `baseball`, `basketball`, `swimming`, `tennis`, `soccer`, `volleyball`
 - Each person has a favorite color: `purple`, `green`, `white`, `red`, `yellow`, `blue`
 - People have unique hair colors: `red`, `auburn`, `blonde`, `black`, `gray`, `brown`
 - Everyone has something unique for lunch: `stew`, `spaghetti`, `stir fry`, `grilled cheese`, `soup`, `pizza`

## Clues:
1. Arnold is somewhere to the left of the person who loves blue.
2. There are two houses between the person whose favorite color is green and Bob.
3. The person who loves white is in the fifth house.
4. The person who loves baseball is directly left of the person who has brown hair.
5. The person who loves tennis is not in the fifth house.
6. The person who has auburn hair is the person who loves the stew.
7. The person whose favorite color is red and the person who loves baseball are next to each other.
8. The person who is a pizza lover is Eric.
9. The person who loves purple is Carol.
10. Peter is in the third house.
11. Carol is the person who loves soccer.
12. The person who loves volleyball is somewhere to the left of the person who has auburn hair.
13. Eric is in the first house.
14. There is one house between the person who has gray hair and the person who loves blue.
15. The person who loves volleyball is directly left of the person who loves baseball.
16. The person who loves the spaghetti eater is in the fifth house.
17. The person who loves eating grilled cheese is the person who has brown hair.
18. The person who loves the soup is in the third house.
19. The person who has blonde hair is somewhere to the left of the person who has gray hair.
20. The person who has red hair is the person who loves white.
21. The person who loves blue is somewhere to the right of the person who loves swimming.
 What is the value of attribute House for the person whose attribute HairColor is auburn? Please reason step by step, and put your final answer within \boxed{}

Answer: 6


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Arnold`, `Eric`
 - Each person lives in a unique style of house: `colonial`, `victorian`, `ranch`
 - People have unique favorite book genres: `science fiction`, `mystery`, `romance`
 - Each person has a unique type of pet: `fish`, `cat`, `dog`
 - Everyone has a unique favorite cigar: `prince`, `blue master`, `pall mall`
 - Each person has a unique hobby: `cooking`, `photography`, `gardening`

## Clues:
1. The person who loves cooking is in the second house.
2. The person who loves romance books is the person who smokes Blue Master.
3. The person who loves mystery books is the person partial to Pall Mall.
4. The person who smokes Blue Master and the person who loves cooking are next to each other.
5. The person who owns a dog is the person in a ranch-style home.
6. The person residing in a Victorian house is the person with an aquarium of fish.
7. The person who has a cat is the Prince smoker.
8. Arnold and the person who has a cat are next to each other.
9. The photography enthusiast is directly left of Arnold.
10. Eric is not in the third house.
11. Eric is the person with an aquarium of fish.
 What is the value of attribute Name for the person whose attribute House is 3? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Peter`, `Arnold`, `Alice`
 - People have unique favorite music genres: `rock`, `jazz`, `pop`, `classical`
 - Everyone has a favorite smoothie: `dragonfruit`, `watermelon`, `desert`, `cherry`
 - People have unique hair colors: `red`, `black`, `brown`, `blonde`
 - People have unique favorite book genres: `science fiction`, `fantasy`, `romance`, `mystery`

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

Answer: Peter


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

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

Answer: 3


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Arnold`, `Eric`, `Bob`, `Peter`
 - People have unique heights: `average`, `short`, `tall`, `very tall`, `very short`
 - The mothers' names in different houses are unique: `Holly`, `Penny`, `Kailyn`, `Janelle`, `Aniya`
 - Each person has a unique type of pet: `cat`, `dog`, `hamster`, `fish`, `bird`
 - The people keep unique animals: `bird`, `dog`, `fish`, `horse`, `cat`
 - People have unique favorite sports: `swimming`, `basketball`, `baseball`, `tennis`, `soccer`

## Clues:
1. The person who loves basketball is the person who keeps a pet bird.
2. The person who loves soccer is directly left of the person who is very short.
3. The person whose mother's name is Aniya is directly left of the person who is tall.
4. The person who loves tennis is Eric.
5. The person whose mother's name is Holly is in the first house.
6. The person who owns a dog is somewhere to the right of Bob.
7. The person who owns a dog is the cat lover.
8. The person whose mother's name is Aniya is Peter.
9. The person who is very short is directly left of Alice.
10. The person whose mother's name is Janelle is the bird keeper.
11. The person who has a cat is directly left of the person who has an average height.
12. The person whose mother's name is Penny is the person with an aquarium of fish.
13. The person with an aquarium of fish is directly left of the dog owner.
14. The person who is very tall is somewhere to the right of the fish enthusiast.
15. The person who loves tennis is in the fourth house.
16. The person who loves basketball is directly left of the person who loves baseball.
 What is the value of attribute Name for the person whose attribute Height is very tall? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Bob`, `Peter`, `Eric`, `Arnold`
 - Each person has a unique level of education: `associate`, `doctorate`, `bachelor`, `master`, `high school`

## Clues:
1. The person with a master's degree is Alice.
2. There are two houses between Eric and the person with a doctorate.
3. Peter is the person with an associate's degree.
4. The person with a doctorate is not in the first house.
5. The person with an associate's degree is not in the fourth house.
6. The person with a master's degree is in the third house.
7. The person with a bachelor's degree is Arnold.
8. There is one house between the person with a master's degree and Arnold.
 What is the value of attribute House for the person whose attribute Education is high school? 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: `Arnold`, `Alice`, `Eric`, `Peter`
 - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`, `roses`
 - Everyone has a unique favorite cigar: `dunhill`, `blue master`, `pall mall`, `prince`
 - Each mother is accompanied by their child: `Meredith`, `Samantha`, `Bella`, `Fred`
 - The mothers' names in different houses are unique: `Janelle`, `Aniya`, `Holly`, `Kailyn`
 - People use unique phone models: `iphone 13`, `google pixel 6`, `oneplus 9`, `samsung galaxy s21`

## Clues:
1. The person whose mother's name is Kailyn is the Prince smoker.
2. The person whose mother's name is Holly is the person who loves a bouquet of daffodils.
3. Arnold is in the fourth house.
4. The person's child is named Bella is somewhere to the left of the person who uses a OnePlus 9.
5. The person's child is named Fred is not in the second house.
6. The person's child is named Meredith is directly left of The person whose mother's name is Janelle.
7. The person who loves a bouquet of daffodils is Eric.
8. The person who loves the boquet of lilies is the person partial to Pall Mall.
9. The person whose mother's name is Janelle is the person who loves a carnations arrangement.
10. Alice is somewhere to the right of the person's child is named Fred.
11. The person who uses an iPhone 13 is directly left of the Dunhill smoker.
12. The person who loves the rose bouquet is somewhere to the right of the Dunhill smoker.
13. The person who loves the rose bouquet is somewhere to the left of the person who uses a Google Pixel 6.
 What is the value of attribute Name for the person whose attribute Flower is lilies? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Carol`, `Alice`, `Eric`, `Arnold`, `Peter`
 - Everyone has something unique for lunch: `pizza`, `spaghetti`, `soup`, `grilled cheese`, `stew`, `stir fry`
 - Each person has a unique level of education: `associate`, `doctorate`, `trade school`, `high school`, `master`, `bachelor`
 - The people keep unique animals: `horse`, `fish`, `rabbit`, `cat`, `bird`, `dog`
 - Each person lives in a unique style of house: `ranch`, `victorian`, `modern`, `craftsman`, `mediterranean`, `colonial`

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

Answer: 4


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Arnold`, `Bob`, `Peter`, `Alice`
 - Everyone has a unique favorite cigar: `dunhill`, `blue master`, `blends`, `pall mall`, `prince`
 - Each person has an occupation: `lawyer`, `artist`, `engineer`, `doctor`, `teacher`
 - People own unique car models: `ford f150`, `toyota camry`, `honda civic`, `bmw 3 series`, `tesla model 3`
 - Everyone has a favorite smoothie: `watermelon`, `cherry`, `dragonfruit`, `desert`, `lime`
 - Everyone has something unique for lunch: `stew`, `spaghetti`, `grilled cheese`, `pizza`, `stir fry`

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

Answer: 3


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Peter`, `Bob`, `Eric`, `Arnold`
 - The people keep unique animals: `fish`, `dog`, `horse`, `bird`, `cat`
 - People own unique car models: `honda civic`, `bmw 3 series`, `ford f150`, `toyota camry`, `tesla model 3`
 - Each person has a unique favorite drink: `coffee`, `tea`, `root beer`, `milk`, `water`

## Clues:
1. Arnold is not in the fifth house.
2. Alice and Bob are next to each other.
3. The person who owns a Tesla Model 3 is the person who keeps horses.
4. There are two houses between Arnold and the root beer lover.
5. Eric is in the second house.
6. The person who likes milk is the dog owner.
7. Arnold is the person who owns a Tesla Model 3.
8. The bird keeper is the person who owns a Honda Civic.
9. The one who only drinks water and the person who owns a Toyota Camry are next to each other.
10. The one who only drinks water is directly left of the cat lover.
11. There is one house between the person who owns a Ford F-150 and the fish enthusiast.
12. The dog owner is not in the fifth house.
13. The tea drinker is Bob.
 What is the value of attribute House for the person whose attribute CarModel is bmw 3 series? Please reason step by step, and put your final answer within \boxed{}

Answer: 5


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Eric`, `Arnold`, `Carol`, `Alice`, `Peter`
 - Each person has a unique hobby: `cooking`, `painting`, `knitting`, `photography`, `woodworking`, `gardening`
 - People have unique hair colors: `brown`, `auburn`, `black`, `red`, `gray`, `blonde`
 - People have unique favorite sports: `swimming`, `volleyball`, `basketball`, `baseball`, `tennis`, `soccer`
 - The mothers' names in different houses are unique: `Sarah`, `Holly`, `Penny`, `Janelle`, `Kailyn`, `Aniya`
 - Everyone has a unique favorite cigar: `dunhill`, `blends`, `pall mall`, `prince`, `yellow monster`, `blue master`

## Clues:
1. The person who has gray hair is directly left of The person whose mother's name is Janelle.
2. The person who loves soccer is in the sixth house.
3. Arnold is the person who has blonde hair.
4. The photography enthusiast is the person who smokes Yellow Monster.
5. There is one house between the Dunhill smoker and the person who loves cooking.
6. The person who paints as a hobby is the person who has blonde hair.
7. The Dunhill smoker is directly left of Alice.
8. The person who paints as a hobby is directly left of the person who loves volleyball.
9. The person who loves soccer is The person whose mother's name is Aniya.
10. The person partial to Pall Mall is somewhere to the left of Carol.
11. The person who enjoys knitting and the person who loves basketball are next to each other.
12. The person partial to Pall Mall is directly left of The person whose mother's name is Holly.
13. The person who loves soccer is the Prince smoker.
14. The person who loves swimming is The person whose mother's name is Penny.
15. The person whose mother's name is Kailyn is the person who loves volleyball.
16. The person who loves basketball is The person whose mother's name is Janelle.
17. The person who enjoys knitting is the person who loves volleyball.
18. The person who enjoys knitting is not in the third house.
19. The person who has auburn hair is somewhere to the left of the photography enthusiast.
20. The person whose mother's name is Sarah is not in the fifth house.
21. Bob is directly left of the person who has red hair.
22. The Dunhill smoker is the person who enjoys gardening.
23. The person who loves baseball is the person who has auburn hair.
24. Eric is the person who smokes many unique blends.
25. The person who has brown hair is somewhere to the right of The person whose mother's name is Penny.
 What is the value of attribute FavoriteSport for the person whose attribute Mother is Penny? Please reason step by step, and put your final answer within \boxed{}

Answer: swimming


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

## Clues:
1. The person with a bachelor's degree is somewhere to the left of the person with a master's degree.
2. The person with an associate's degree is the person who uses a Samsung Galaxy S21.
3. The person who uses a Google Pixel 6 is Alice.
4. The person who uses a Xiaomi Mi 11 is the person with a bachelor's degree.
5. The person who uses a Huawei P50 is in the third house.
6. There is one house between Arnold and Bob.
7. Arnold is in the second house.
8. Peter is somewhere to the left of the person who uses a Huawei P50.
9. There is one house between the person who uses an iPhone 13 and Eric.
10. The person with a doctorate is directly left of the person with an associate's degree.
11. The person with a master's degree is the person who uses a Huawei P50.
12. The person with a high school diploma is Arnold.
 What is the value of attribute PhoneModel for the person whose attribute Education is associate? Please reason step by step, and put your final answer within \boxed{}

Answer: samsung galaxy s21


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Arnold`, `Alice`, `Bob`, `Peter`
 - Each person lives in a unique style of house: `colonial`, `modern`, `ranch`, `victorian`, `craftsman`
 - People have unique favorite sports: `tennis`, `basketball`, `soccer`, `baseball`, `swimming`
 - People have unique favorite music genres: `pop`, `classical`, `jazz`, `rock`, `hip hop`

## Clues:
1. The person in a Craftsman-style house and the person who loves basketball are next to each other.
2. Alice is the person living in a colonial-style house.
3. Peter is somewhere to the right of the person who loves swimming.
4. The person living in a colonial-style house is the person who loves soccer.
5. The person in a ranch-style home is the person who loves baseball.
6. The person who loves pop music is somewhere to the left of the person who loves swimming.
7. The person who loves baseball is not in the second house.
8. The person in a modern-style house is in the fourth house.
9. The person who loves basketball and Peter are next to each other.
10. The person in a Craftsman-style house is somewhere to the left of Arnold.
11. The person who loves jazz music is not in the fourth house.
12. There are two houses between the person who loves tennis and the person in a ranch-style home.
13. Eric is not in the third house.
14. The person who loves hip-hop music is the person in a ranch-style home.
15. The person who loves tennis is the person who loves classical music.
 What is the value of attribute House for the person whose attribute Name is Alice? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Bob`, `Alice`, `Eric`, `Peter`
 - People use unique phone models: `huawei p50`, `iphone 13`, `samsung galaxy s21`, `google pixel 6`, `oneplus 9`
 - People have unique hair colors: `red`, `brown`, `gray`, `blonde`, `black`
 - Everyone has a favorite smoothie: `dragonfruit`, `watermelon`, `cherry`, `desert`, `lime`
 - Each person has a unique hobby: `knitting`, `photography`, `gardening`, `painting`, `cooking`
 - They all have a unique favorite flower: `daffodils`, `tulips`, `roses`, `carnations`, `lilies`

## Clues:
1. Bob is the person who loves the vase of tulips.
2. The person who has red hair is Bob.
3. The person who loves a bouquet of daffodils is the person who uses a Google Pixel 6.
4. The person who likes Cherry smoothies is the person who enjoys gardening.
5. The person who uses a Google Pixel 6 is somewhere to the right of the person who loves a carnations arrangement.
6. The person who has brown hair and the person who loves a carnations arrangement are next to each other.
7. The person who paints as a hobby is somewhere to the left of the person who loves cooking.
8. The person who uses an iPhone 13 is somewhere to the left of the person who loves a carnations arrangement.
9. The person who has brown hair is somewhere to the right of the person who uses a OnePlus 9.
10. The person who paints as a hobby is Peter.
11. Eric is directly left of the person who uses an iPhone 13.
12. The person who uses a OnePlus 9 is directly left of the person who uses a Samsung Galaxy S21.
13. Arnold is the person who drinks Lime smoothies.
14. The person who has red hair is the person who enjoys gardening.
15. The Dragonfruit smoothie lover and the Desert smoothie lover are next to each other.
16. The person who has brown hair is directly left of the Desert smoothie lover.
17. The person who loves the boquet of lilies is directly left of the person who loves a carnations arrangement.
18. The person who drinks Lime smoothies is the person who has black hair.
19. The person who uses a Huawei P50 is the person who has gray hair.
20. The person who drinks Lime smoothies is the photography enthusiast.
 What is the value of attribute Hobby for the person whose attribute Flower is tulips? Please reason step by step, and put your final answer within \boxed{}

Answer: gardening


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`
 - Everyone has a unique favorite cigar: `pall mall`, `dunhill`, `blue master`, `prince`
 - Each person has a unique birthday month: `sept`, `april`, `feb`, `jan`
 - Each person has a unique hobby: `gardening`, `cooking`, `photography`, `painting`
 - People have unique favorite music genres: `pop`, `classical`, `jazz`, `rock`

## Clues:
1. The person who loves jazz music is the person whose birthday is in April.
2. Alice is the person whose birthday is in April.
3. Peter is directly left of the person who loves cooking.
4. The person whose birthday is in February is Arnold.
5. The Dunhill smoker is not in the third house.
6. The Prince smoker is Arnold.
7. The person who loves jazz music is the person partial to Pall Mall.
8. The person whose birthday is in January is not in the third house.
9. The person who loves rock music is Peter.
10. The person who enjoys gardening is directly left of the photography enthusiast.
11. The person who loves classical music is in the first house.
12. The person who loves pop music is somewhere to the left of the person partial to Pall Mall.
13. The person who smokes Blue Master is the person who loves pop music.
 What is the value of attribute MusicGenre for the person whose attribute House is 4? Please reason step by step, and put your final answer within \boxed{}

Answer: jazz


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Alice`, `Arnold`, `Bob`, `Eric`
 - The people are of nationalities: `swede`, `norwegian`, `brit`, `german`, `dane`
 - Everyone has something unique for lunch: `stew`, `grilled cheese`, `stir fry`, `pizza`, `spaghetti`
 - Everyone has a favorite smoothie: `desert`, `lime`, `watermelon`, `cherry`, `dragonfruit`

## Clues:
1. Alice is the person who likes Cherry smoothies.
2. The person who drinks Lime smoothies is the person who loves eating grilled cheese.
3. The Dragonfruit smoothie lover is somewhere to the right of the person who loves the stew.
4. The German is Bob.
5. The person who loves stir fry is somewhere to the right of Eric.
6. Arnold is directly left of the Dane.
7. The person who loves the spaghetti eater is the Norwegian.
8. Bob is somewhere to the left of the person who drinks Lime smoothies.
9. The Desert smoothie lover is the person who is a pizza lover.
10. The German is somewhere to the right of the Norwegian.
11. The Swedish person is the person who is a pizza lover.
12. There is one house between the person who loves eating grilled cheese and Peter.
 What is the value of attribute House for the person whose attribute Food is stir fry? 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: `Alice`, `Bob`, `Eric`, `Arnold`, `Peter`, `Carol`
 - People have unique heights: `short`, `tall`, `very short`, `average`, `very tall`, `super tall`
 - People have unique favorite music genres: `rock`, `jazz`, `classical`, `country`, `hip hop`, `pop`
 - Each mother is accompanied by their child: `Samantha`, `Alice`, `Fred`, `Bella`, `Meredith`, `Timothy`

## Clues:
1. The person who loves hip-hop music is not in the second house.
2. The person who is very tall is directly left of the person who is very short.
3. The person's child is named Samantha is in the first house.
4. The person who has an average height is directly left of the person who loves hip-hop music.
5. The person's child is named Alice is the person who loves jazz music.
6. The person who is the mother of Timothy is somewhere to the right of the person who loves jazz music.
7. Eric is directly left of the person who is tall.
8. The person who is short is the person who loves hip-hop music.
9. The person who is very short is the person who is the mother of Timothy.
10. Peter is the person who loves rock music.
11. The person's child is named Bella is Bob.
12. The person's child is named Fred is Alice.
13. The person who loves classical music is directly left of the person who loves pop music.
14. The person who loves rock music is somewhere to the right of the person who is very tall.
15. Carol is somewhere to the left of Alice.
16. Carol is somewhere to the right of Arnold.
17. The person who loves classical music is not in the first house.
18. The person who is super tall is Eric.
 What is the value of attribute Height for the person whose attribute Name is Arnold? Please reason step by step, and put your final answer within \boxed{}

Answer: tall


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Eric`, `Peter`, `Alice`, `Arnold`
 - People have unique heights: `average`, `tall`, `very short`, `short`
 - People use unique phone models: `oneplus 9`, `samsung galaxy s21`, `google pixel 6`, `iphone 13`
 - The mothers' names in different houses are unique: `Kailyn`, `Janelle`, `Holly`, `Aniya`

## Clues:
1. The person who uses a Samsung Galaxy S21 is The person whose mother's name is Holly.
2. The person who is tall is directly left of the person who uses a Samsung Galaxy S21.
3. Alice is the person who uses a Google Pixel 6.
4. The person who uses a OnePlus 9 is in the fourth house.
5. The person whose mother's name is Janelle is not in the third house.
6. The person whose mother's name is Janelle is somewhere to the left of Eric.
7. The person whose mother's name is Aniya is somewhere to the left of Alice.
8. Eric is the person who is very short.
9. Peter is somewhere to the left of The person whose mother's name is Kailyn.
10. The person whose mother's name is Holly and the person who has an average height are next to each other.
 What is the value of attribute House for the person whose attribute Name is Peter? 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`, `Bob`, `Arnold`, `Alice`, `Peter`, `Eric`
 - The people are of nationalities: `swede`, `german`, `dane`, `brit`, `chinese`, `norwegian`
 - Each person has a unique type of pet: `bird`, `cat`, `dog`, `rabbit`, `fish`, `hamster`
 - Each person has a favorite color: `red`, `green`, `purple`, `yellow`, `white`, `blue`

## Clues:
1. The person who has a cat is the British person.
2. The person with a pet hamster is in the fourth house.
3. The person who owns a rabbit is the person who loves purple.
4. Arnold is the person who loves white.
5. The Dane is somewhere to the left of the person who owns a dog.
6. Carol and Peter are next to each other.
7. The Swedish person is somewhere to the right of the person whose favorite color is green.
8. The person who loves blue is the person with a pet hamster.
9. There are two houses between the person whose favorite color is red and Bob.
10. The person who keeps a pet bird is in the second house.
11. Carol is in the first house.
12. The person who loves yellow and the German are next to each other.
13. Alice is the person who loves yellow.
14. The Dane is the person who loves yellow.
15. Bob is the Norwegian.
16. Alice is directly left of the person who loves white.
 What is the value of attribute Color for the person whose attribute Name is Alice? Please reason step by step, and put your final answer within \boxed{}

Answer: yellow


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Peter`, `Alice`, `Carol`, `Bob`, `Eric`
 - Each person has an occupation: `artist`, `nurse`, `engineer`, `lawyer`, `teacher`, `doctor`
 - The mothers' names in different houses are unique: `Holly`, `Penny`, `Aniya`, `Janelle`, `Sarah`, `Kailyn`
 - People have unique favorite music genres: `pop`, `rock`, `classical`, `jazz`, `hip hop`, `country`

## Clues:
1. The person who is an engineer is directly left of the person who is an artist.
2. The person whose mother's name is Janelle is the person who is an artist.
3. The person who loves classical music is directly left of Peter.
4. The person whose mother's name is Janelle and the person who loves pop music are next to each other.
5. The person whose mother's name is Sarah is somewhere to the left of Arnold.
6. The person who loves country music is The person whose mother's name is Aniya.
7. The person whose mother's name is Penny is not in the second house.
8. Bob is the person who loves jazz music.
9. Carol is not in the sixth house.
10. The person who is an engineer is the person who loves classical music.
11. The person who is a nurse is somewhere to the right of the person who loves rock music.
12. There are two houses between Bob and The person whose mother's name is Penny.
13. The person who is a lawyer is directly left of the person who is a doctor.
14. The person whose mother's name is Penny is not in the third house.
15. The person who is an engineer is not in the fourth house.
16. The person who is a doctor is The person whose mother's name is Kailyn.
17. Carol is somewhere to the right of the person who loves country music.
18. The person who loves classical music is Alice.
19. The person who is a nurse is The person whose mother's name is Holly.
 What is the value of attribute House for the person whose attribute MusicGenre is country? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


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

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

Answer: gardening


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Eric`, `Peter`, `Alice`
 - Each person has a unique hobby: `photography`, `painting`, `gardening`, `cooking`
 - Each person prefers a unique type of vacation: `cruise`, `beach`, `mountain`, `city`
 - People own unique car models: `tesla model 3`, `honda civic`, `ford f150`, `toyota camry`

## Clues:
1. The person who loves cooking is the person who owns a Ford F-150.
2. The person who enjoys mountain retreats is the person who owns a Ford F-150.
3. Arnold is the person who prefers city breaks.
4. The person who enjoys mountain retreats is in the first house.
5. The photography enthusiast is the person who loves beach vacations.
6. The person who owns a Toyota Camry is Peter.
7. The person who enjoys gardening is somewhere to the right of the person who owns a Honda Civic.
8. Peter is the person who loves beach vacations.
9. Alice is in the first house.
10. There is one house between the person who owns a Honda Civic and Eric.
 What is the value of attribute CarModel for the person whose attribute Hobby is painting? Please reason step by step, and put your final answer within \boxed{}

Answer: honda civic


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Alice`, `Bob`, `Peter`, `Arnold`, `Eric`
 - People have unique hair colors: `black`, `red`, `brown`, `gray`, `blonde`
 - Each person has a unique level of education: `bachelor`, `associate`, `high school`, `master`, `doctorate`
 - Each mother is accompanied by their child: `Bella`, `Timothy`, `Samantha`, `Meredith`, `Fred`
 - The people keep unique animals: `horse`, `cat`, `fish`, `bird`, `dog`

## Clues:
1. The person who has red hair is directly left of the bird keeper.
2. Peter is the person with a doctorate.
3. The fish enthusiast is somewhere to the right of the person who has brown hair.
4. The cat lover is the person with a bachelor's degree.
5. The person's child is named Samantha is somewhere to the right of the person who has black hair.
6. The fish enthusiast is the person's child is named Bella.
7. Arnold and the person with an associate's degree are next to each other.
8. The person who keeps horses is the person who is the mother of Timothy.
9. The person who has brown hair is somewhere to the right of Bob.
10. The person who has blonde hair is the bird keeper.
11. The person with a master's degree is the fish enthusiast.
12. The person with a high school diploma is the person's child is named Fred.
13. The person with a high school diploma is Eric.
14. The person with a bachelor's degree is the person who has red hair.
15. The person who has gray hair is the person with an associate's degree.
 What is the value of attribute Children for the person whose attribute Animal is cat? Please reason step by step, and put your final answer within \boxed{}

Answer: Meredith


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Arnold`, `Alice`, `Eric`
 - People have unique favorite book genres: `romance`, `mystery`, `fantasy`, `science fiction`
 - People have unique heights: `tall`, `very short`, `short`, `average`
 - Everyone has a favorite smoothie: `dragonfruit`, `cherry`, `desert`, `watermelon`
 - Each person has a favorite color: `red`, `green`, `yellow`, `white`

## Clues:
1. Arnold is not in the fourth house.
2. Peter is the person who loves mystery books.
3. The person who likes Cherry smoothies is somewhere to the right of the Desert smoothie lover.
4. The person who loves science fiction books is directly left of Eric.
5. The Desert smoothie lover is the person who is very short.
6. The person who loves white is the person who loves mystery books.
7. The person who loves fantasy books is the person who loves yellow.
8. The Desert smoothie lover is somewhere to the right of the person who is short.
9. The Dragonfruit smoothie lover and the person whose favorite color is green are next to each other.
10. The Dragonfruit smoothie lover is the person who loves mystery books.
11. The person who loves yellow is in the second house.
12. The person who likes Cherry smoothies is not in the third house.
13. The person who has an average height is the person who likes Cherry smoothies.
 What is the value of attribute Name for the person whose attribute House is 3? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


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

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

Answer: white


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Arnold`, `Peter`, `Carol`, `Alice`, `Eric`
 - Everyone has something unique for lunch: `stir fry`, `stew`, `soup`, `pizza`, `grilled cheese`, `spaghetti`
 - Each person has an occupation: `doctor`, `artist`, `engineer`, `teacher`, `lawyer`, `nurse`
 - Each person has a unique type of pet: `dog`, `bird`, `hamster`, `cat`, `fish`, `rabbit`
 - People have unique favorite music genres: `pop`, `country`, `jazz`, `classical`, `rock`, `hip hop`
 - Everyone has a favorite smoothie: `blueberry`, `desert`, `watermelon`, `cherry`, `lime`, `dragonfruit`

## Clues:
1. The person who loves the spaghetti eater is the Dragonfruit smoothie lover.
2. The person who drinks Lime smoothies is in the second house.
3. Carol is somewhere to the left of the Desert smoothie lover.
4. The person who is an engineer is not in the second house.
5. The person who loves the soup is in the second house.
6. The person who owns a dog is not in the second house.
7. The person who is a pizza lover is Alice.
8. Arnold is somewhere to the left of Eric.
9. The person who loves classical music is the Dragonfruit smoothie lover.
10. The person who owns a rabbit is somewhere to the left of the Desert smoothie lover.
11. The person who is a nurse is not in the sixth house.
12. There are two houses between the person who is a nurse and the person who loves the spaghetti eater.
13. The person who likes Cherry smoothies is the person with an aquarium of fish.
14. The person who has a cat is Alice.
15. The person who likes Cherry smoothies is somewhere to the right of the Desert smoothie lover.
16. There is one house between the person who drinks Blueberry smoothies and the person who loves eating grilled cheese.
17. The person who loves classical music is somewhere to the left of the person who loves the stew.
18. The person who is a lawyer is the person who loves classical music.
19. The person who loves jazz music is Bob.
20. Bob is the person who drinks Lime smoothies.
21. The person who loves pop music is the person who is a teacher.
22. The person who is an engineer is directly left of the person who loves rock music.
23. The person who loves hip-hop music is not in the first house.
24. The person with an aquarium of fish is Peter.
25. The person who drinks Blueberry smoothies is the person who keeps a pet bird.
26. The person who has a cat is in the first house.
27. The person who is a doctor is not in the sixth house.
28. The person who owns a rabbit is not in the second house.
29. Carol is not in the fourth house.
 What is the value of attribute Food for the person whose attribute MusicGenre is classical? Please reason step by step, and put your final answer within \boxed{}

Answer: spaghetti


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`
 - The people keep unique animals: `cat`, `fish`, `horse`, `bird`
 - Each person has a favorite color: `yellow`, `green`, `white`, `red`
 - Each person prefers a unique type of vacation: `cruise`, `city`, `beach`, `mountain`
 - Everyone has something unique for lunch: `pizza`, `spaghetti`, `stew`, `grilled cheese`
 - People have unique favorite sports: `soccer`, `swimming`, `basketball`, `tennis`

## Clues:
1. The person whose favorite color is red is the person who loves the spaghetti eater.
2. The person who loves the stew is the cat lover.
3. The person who loves yellow is not in the fourth house.
4. Alice is somewhere to the right of Arnold.
5. The person who loves the spaghetti eater is somewhere to the right of the person who loves soccer.
6. The person who loves white is the person who loves tennis.
7. The fish enthusiast is in the second house.
8. Arnold is the person who loves the stew.
9. The person who prefers city breaks is the person who is a pizza lover.
10. The person who prefers city breaks is directly left of the person who likes going on cruises.
11. The person who loves swimming is the person who loves beach vacations.
12. The person who keeps horses and the person whose favorite color is red are next to each other.
13. The person whose favorite color is green is directly left of Eric.
14. The person who prefers city breaks is somewhere to the left of the cat lover.
 What is the value of attribute Name for the person whose attribute FavoriteSport is soccer? Please reason step by step, and put your final answer within \boxed{}

Answer: Peter


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

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

Answer: google pixel 6


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Bob`, `Arnold`, `Alice`, `Peter`, `Eric`
 - People own unique car models: `tesla model 3`, `toyota camry`, `ford f150`, `honda civic`, `bmw 3 series`
 - The people are of nationalities: `brit`, `norwegian`, `german`, `swede`, `dane`
 - They all have a unique favorite flower: `daffodils`, `carnations`, `lilies`, `tulips`, `roses`

## Clues:
1. The person who owns a Tesla Model 3 is the person who loves a carnations arrangement.
2. The person who owns a Toyota Camry is Alice.
3. The person who owns a BMW 3 Series is somewhere to the right of Arnold.
4. Arnold is not in the third house.
5. The Swedish person is in the first house.
6. The German is the person who loves a bouquet of daffodils.
7. Arnold is not in the second house.
8. The Norwegian is the person who owns a Tesla Model 3.
9. The Dane is somewhere to the left of the person who owns a Ford F-150.
10. The person who owns a BMW 3 Series is somewhere to the right of the person who loves a carnations arrangement.
11. Alice is directly left of the person who loves the rose bouquet.
12. Peter and the person who loves the vase of tulips are next to each other.
13. The British person is somewhere to the right of the Norwegian.
14. The person who loves the vase of tulips is Eric.
15. The person who owns a Ford F-150 is Eric.
 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: 5


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Carol`, `Bob`, `Eric`, `Alice`, `Peter`, `Arnold`
 - People have unique heights: `super tall`, `tall`, `very short`, `average`, `very tall`, `short`
 - People use unique phone models: `google pixel 6`, `iphone 13`, `samsung galaxy s21`, `xiaomi mi 11`, `oneplus 9`, `huawei p50`
 - Each mother is accompanied by their child: `Fred`, `Timothy`, `Alice`, `Bella`, `Meredith`, `Samantha`

## Clues:
1. The person who uses a Xiaomi Mi 11 is the person who is short.
2. Alice is somewhere to the right of Bob.
3. The person who uses a OnePlus 9 is Carol.
4. The person who uses a Xiaomi Mi 11 is the person's child is named Alice.
5. The person who has an average height is not in the fourth house.
6. The person who uses a Samsung Galaxy S21 is in the second house.
7. Alice is directly left of the person's child is named Fred.
8. The person's child is named Meredith and Arnold are next to each other.
9. The person's child is named Samantha is the person who is super tall.
10. The person who is short is somewhere to the right of the person who uses a Samsung Galaxy S21.
11. The person who is very tall is the person who is the mother of Timothy.
12. Bob is not in the fourth house.
13. The person who is very short is the person who uses a Huawei P50.
14. The person who uses a Samsung Galaxy S21 is directly left of the person who is super tall.
15. Peter is somewhere to the right of the person who is tall.
16. Arnold is somewhere to the left of the person's child is named Bella.
17. The person who uses a Google Pixel 6 is directly left of the person who uses an iPhone 13.
18. Eric is in the first house.
 What is the value of attribute House for the person whose attribute Height is average? Please reason step by step, and put your final answer within \boxed{}

Answer: 5


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

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

Answer: Meredith


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

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

Answer: 5


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

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

Answer: toyota camry


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Peter`, `Eric`, `Alice`
 - The people keep unique animals: `fish`, `cat`, `horse`, `bird`
 - Everyone has a unique favorite cigar: `pall mall`, `blue master`, `dunhill`, `prince`
 - They all have a unique favorite flower: `lilies`, `roses`, `daffodils`, `carnations`
 - People have unique favorite music genres: `classical`, `jazz`, `rock`, `pop`

## Clues:
1. The Dunhill smoker is Eric.
2. Eric is the cat lover.
3. The person who loves the boquet of lilies is the person who loves pop music.
4. The person partial to Pall Mall is the fish enthusiast.
5. The person who smokes Blue Master is the person who keeps horses.
6. Arnold is not in the third house.
7. The person who loves rock music is somewhere to the left of the person who loves a carnations arrangement.
8. The person who loves classical music is somewhere to the left of the fish enthusiast.
9. The person who loves rock music is Peter.
10. The person who loves jazz music is the person who smokes Blue Master.
11. The person who loves a bouquet of daffodils is in the fourth house.
 What is the value of attribute House for the person whose attribute Cigar is prince? Please reason step by step, and put your final answer within \boxed{}

Answer: 1


There are 5 houses, numbered 1 to 5 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Alice`, `Bob`, `Peter`, `Eric`
 - People have unique hair colors: `blonde`, `black`, `gray`, `brown`, `red`
 - They all have a unique favorite flower: `tulips`, `carnations`, `daffodils`, `lilies`, `roses`
 - Each person has a favorite color: `white`, `red`, `green`, `blue`, `yellow`

## Clues:
1. The person who loves the rose bouquet and the person who loves yellow are next to each other.
2. The person who loves a carnations arrangement is Peter.
3. The person who loves the rose bouquet is not in the third house.
4. The person whose favorite color is green is not in the fifth house.
5. The person who loves a bouquet of daffodils is Alice.
6. The person who loves yellow is Eric.
7. The person who has blonde hair is in the fifth house.
8. The person who has black hair is directly left of Arnold.
9. The person who loves yellow is the person who has brown hair.
10. Alice is the person whose favorite color is green.
11. The person who has red hair is the person who loves blue.
12. The person whose favorite color is red is somewhere to the right of the person who loves blue.
13. The person who has black hair is the person who loves the vase of tulips.
 What is the value of attribute Color for the person whose attribute House is 4? Please reason step by step, and put your final answer within \boxed{}

Answer: green


There are 3 houses, numbered 1 to 3 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Peter`, `Eric`, `Arnold`
 - The people keep unique animals: `cat`, `horse`, `bird`
 - Each person has a favorite color: `yellow`, `white`, `red`
 - The people are of nationalities: `brit`, `swede`, `dane`
 - They all have a unique favorite flower: `daffodils`, `lilies`, `carnations`

## Clues:
1. The bird keeper and Eric are next to each other.
2. The person whose favorite color is red is the Dane.
3. The Dane is the person who loves a carnations arrangement.
4. The person who loves the boquet of lilies is the bird keeper.
5. The Dane is somewhere to the left of the person who loves a bouquet of daffodils.
6. The British person is somewhere to the left of the person who loves yellow.
7. Arnold is the person who keeps horses.
8. Eric is the Swedish person.
 What is the value of attribute House for the person whose attribute Color is white? Please reason step by step, and put your final answer within \boxed{}

Answer: 2


There are 6 houses, numbered 1 to 6 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Carol`, `Peter`, `Eric`, `Bob`, `Alice`
 - Each person lives in a unique style of house: `ranch`, `colonial`, `modern`, `craftsman`, `mediterranean`, `victorian`
 - Everyone has something unique for lunch: `pizza`, `stew`, `spaghetti`, `grilled cheese`, `stir fry`, `soup`
 - Each person prefers a unique type of vacation: `cultural`, `cruise`, `mountain`, `camping`, `city`, `beach`
 - People have unique heights: `average`, `very tall`, `very short`, `short`, `tall`, `super tall`
 - Everyone has a unique favorite cigar: `yellow monster`, `prince`, `dunhill`, `pall mall`, `blue master`, `blends`

## Clues:
1. Alice is in the fifth house.
2. The person who loves stir fry is the person living in a colonial-style house.
3. Alice is the person who loves the spaghetti eater.
4. Arnold is the person who loves the stew.
5. There is one house between the person who has an average height and Peter.
6. The person in a Craftsman-style house is not in the third house.
7. The person who has an average height is the person who loves stir fry.
8. The person who loves beach vacations is the person in a ranch-style home.
9. Eric is in the fourth house.
10. There is one house between the person living in a colonial-style house and the person who enjoys camping trips.
11. The person who enjoys mountain retreats is the person who smokes Yellow Monster.
12. The person who enjoys mountain retreats is the person who is very tall.
13. The person who enjoys mountain retreats and the Dunhill smoker are next to each other.
14. The person who loves the spaghetti eater is the person residing in a Victorian house.
15. The person who is tall is the person who loves beach vacations.
16. The person who is tall is somewhere to the left of the person residing in a Victorian house.
17. The person who loves stir fry is directly left of Bob.
18. The person in a modern-style house is somewhere to the left of Alice.
19. The person in a Craftsman-style house is somewhere to the left of the person who is short.
20. The person who loves stir fry is somewhere to the left of the Prince smoker.
21. There are two houses between the person who loves eating grilled cheese and the person who is super tall.
22. The person in a ranch-style home is the person who smokes Blue Master.
23. The person who smokes many unique blends is directly left of the person who smokes Blue Master.
24. The person who goes on cultural tours is the person who is a pizza lover.
25. The person who is a pizza lover is somewhere to the left of the person who likes going on cruises.
 What is the value of attribute HouseStyle for the person whose attribute Height is very tall? Please reason step by step, and put your final answer within \boxed{}

Answer: victorian


There are 4 houses, numbered 1 to 4 from left to right, as seen from across the street. Each house is occupied by a different person. Each house has a unique attribute for each of the following characteristics:
 - Each person has a unique name: `Arnold`, `Alice`, `Peter`, `Eric`
 - People own unique car models: `ford f150`, `tesla model 3`, `toyota camry`, `honda civic`
 - Each person has a unique birthday month: `april`, `sept`, `feb`, `jan`
 - Each person has an occupation: `teacher`, `artist`, `engineer`, `doctor`
 - Everyone has something unique for lunch: `pizza`, `stew`, `spaghetti`, `grilled cheese`

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

Answer: stew