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BIG-Bench Extra Hard (BBEH) / There are 8 people next to each other in a row in positions 1, 2, 3, 4, 5, 6, 7,…

Problem

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input

There are 8 people next to each other in a row in positions 1, 2, 3, 4, 5, 6, 7, 8 who have the following characteristics.
Everyone has a different favorite soft drink: Mirinda, Gatorade, 7up, Coke, Fanta, Sprite, Powerade, Dr Pepper.
Everyone plays a different musical instrument: harp, cello, violin, drums, guitar, saxophone, flute, piano.
Everyone owns a different handbag brand: Michael Kors, Kate Spade, Dolce and Gabbana, Polo Ralph Lauren, Coach, Gucci, Tumi, Balenciaga.
Everyone plays a different sport: ice hockey, badminton, table tennis, baseball, tennis, volleyball, basketball, soccer.
Everyone has a different profession: chef, doctor, dancer, actor, engineer, writer, athlete, artist.
Everyone lives in a different colored house: green, black, grey, silver, orange, magenta, gold, teal.
Everyone likes a different type of gemstone: Jade, Gypsum, Topaz, Obsidians, Dolomites, Pearls, Opals, Emeralds.
Everyone smokes a different cigarette: Newport, Winston, Salem, Pall Mall, Blue Master, Davidoff, Camel, Blends.
Using the clues provided below, answer the question at the end.
Clue 1: The dancer is the flute player.
Clue 2: The person who likes Gypsum is the volleyball player.
Clue 3: The person who likes 7up is next to the athlete.
Clue 4: The piano player is next to the saxophone player.
Clue 5: The person who lives in the black house is the dancer.
Clue 6: The person who likes Powerade is the violin player.
Clue 7: The person who lives in the orange house is the engineer.
Clue 8: The person who likes Dr Pepper is at one of the ends.
Clue 9: The person who likes Gatorade is the tennis player.
Clue 10: The harp player is somewhere in between the doctor and the person who owns a Tumi in that order.
Clue 11: The person who likes Pearls is immediately to the left of the person who owns a Polo Ralph Lauren.
Clue 12: The person who likes Sprite is immediately to the left of the baseball player.
Clue 13: The violin player is at one of the ends.
Clue 14: The actor is at one of the ends.
Clue 15: The saxophone player is the table tennis player.
Clue 16: The person who smokes Newport is immediately to the left of the guitar player.
Clue 17: The person who likes Fanta is somewhere in between the person who lives in the black house and the athlete in that order.
Clue 18: The tennis player is next to the violin player.
Clue 19: The drums player is the person who owns a Coach.
Clue 20: The person who smokes Salem is immediately to the left of the person who lives in the black house.
Clue 21: The person who lives in the silver house is the person at the 5th position.
Clue 22: The person who likes Obsidians is the person who owns a Balenciaga.
Clue 23: The soccer player is immediately to the left of the volleyball player.
Clue 24: The person who lives in the black house is the person who smokes Winston.
Clue 25: The person who likes Obsidians is the artist.
Clue 26: The volleyball player is the person who lives in the silver house.
Clue 27: The person who smokes Pall Mall is the person who likes Obsidians.
Clue 28: The volleyball player is immediately to the left of the person who lives in the orange house.
Clue 29: The guitar player is somewhere to the left of the person who likes Mirinda.
Clue 30: The person at the 1st position is the person who smokes Salem.
Clue 31: The person who smokes Blends is at one of the ends.
Clue 32: The person who likes Jade is next to the person at the 3rd position.
Clue 33: The person at the 8th position is the person who owns a Kate Spade.
Clue 34: The ice hockey player is immediately to the left of the person who likes Dr Pepper.
Clue 35: The person who likes Topaz is at one of the ends.
Clue 36: The piano player is the person who owns a Balenciaga.
Clue 37: The badminton player is somewhere to the left of the doctor.
Clue 38: The person who likes Gypsum is next to the person who lives in the magenta house.
Clue 39: The person who owns a Dolce and Gabbana is next to the doctor.
Clue 40: The chef is the person who lives in the gold house.
Clue 41: The person who likes Obsidians is somewhere to the left of the person who lives in the grey house.
Clue 42: The person who likes Gatorade is next to the person who likes Opals.
Clue 43: The person who smokes Blue Master is the cello player.
Clue 44: The person who owns a Coach is the person who likes Pearls.
Clue 45: The table tennis player is at one of the ends.
Clue 46: The person who owns a Michael Kors is the person who lives in the black house.
Clue 47: The chef is at one of the ends.
Clue 48: The person who smokes Newport is somewhere to the left of the person who smokes Camel.
Clue 49: The person who owns a Gucci is immediately to the left of the person who owns a Michael Kors.
Clue 50: The cello player is the person who likes Coke.
Clue 51: The athlete is somewhere to the left of the person who smokes Pall Mall.
Clue 52: The person who lives in the green house is immediately to the left of the person who likes Topaz.
Clue 53: The person who lives in the magenta house is next to the person who owns a Coach.
Clue 54: The badminton player is at one of the ends.
Clue 55: The drums player is next to the person who smokes Blue Master.
Clue 56: The chef is next to the person who lives in the black house.
Clue 57: The chef is immediately to the left of the person who likes Dolomites.
Clue 58: The person who likes Sprite is next to the baseball player.

Question: What position is the person who lives in the grey house at?

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