Einstein Puzzles

From gardening and needlework to Mornington Crescent and captioneering.
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lpetrich
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Post by lpetrich » Thu Dec 14, 2017 1:33 pm

Gardens Puzzle

Five friends have neighboring gardens, and they grow three kinds of crops.
Fruits: apple, pear, nut, cherry
Vegetables: carrot, parsley, gourd, onion
Flowers: aster, rose, tulip, lily

1. They grow 12 different varieties.
2. Everybody grows exactly 4 different varieties
3. Each variety is at least in one garden.
4. Only one variety is in 4 gardens.
5. Only in one garden are all 3 kinds of crops.
6. Only in one garden are all 4 varieties of one kind of crops.
7. Pear is only in the two border gardens.
8. Paul's garden is in the middle with no lily.
9. Aster grower doesn't grow vegetables.
10. Rose growers don't grow parsley.
11. Nuts grower has also gourd and parsley.
12. In the first garden are apples and cherries.
13. Only in two gardens are cherries.
14. Sam has onions and cherries.
15. Luke grows exactly two kinds of fruit.
16. Tulip is only in two gardens.
17. Apple is in a single garden.
18. Only in one garden next to Zick's is parsley.
19. Sam's garden is not on the border.
20. Hank grows neither vegetables nor asters.
21. Paul has exactly three kinds of vegetable.

Who is where and who grows what?

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lpetrich
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Post by lpetrich » Thu Dec 14, 2017 1:38 pm

Hidden Text:

1. They grow 12 different varieties.
2. Everybody grows exactly 4 different varieties
3. Each variety is at least in one garden.
4. Only one variety is in 4 gardens.
5. Only in one garden are all 3 kinds of crops.
6. Only in one garden are all 4 varieties of one kind of crops.
8. Paul's garden is in the middle with no lily.
9. Aster grower doesn't grow vegetables.
10. Rose growers don't grow parsley.
11. Nuts grower has also gourd and parsley.
12. In the first garden are apples and cherries.
13. Only in two gardens are cherries.
14. Sam has onions and cherries.
15. Luke grows exactly two kinds of fruit.
16. Tulip is only in two gardens.
17. Apple is in a single garden.
18. Only in one garden next to Zick's is parsley.
19. Sam's garden is not on the border.
20. Hank grows neither vegetables nor asters.
21. Paul has exactly three kinds of vegetable.

Rules: 7, 12
  • -- : Pear, Apple, Cherry
  • -- :
  • Paul :
  • -- :
  • -- : Pear

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lpetrich
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Post by lpetrich » Thu Dec 14, 2017 1:49 pm

Hidden Text:

1. They grow 12 different varieties.
2. Everybody grows exactly 4 different varieties
3. Each variety is at least in one garden.
4. Only one variety is in 4 gardens.
5. Only in one garden are all 3 kinds of crops.
6. Only in one garden are all 4 varieties of one kind of crops.
8. Paul's garden is in the middle with no lily.
9. Aster grower doesn't grow vegetables.
10. Rose growers don't grow parsley.
11. Nuts grower has also gourd and parsley.
12. In the first garden are apples and cherries.
13. Only in two gardens are cherries.
14. Sam has onions and cherries.
15. Luke grows exactly two kinds of fruit.
16. Tulip is only in two gardens.
17. Apple is in a single garden.
18. Only in one garden next to Zick's is parsley.
19. Sam's garden is not on the border.
20. Hank grows neither vegetables nor asters.
21. Paul has exactly three kinds of vegetable.

Rules: 7, 11, 12, 15 (elimination with 13, 14, 17)
  • -- : Pear, Apple, Cherry
  • -- :
  • Paul :
  • -- :
  • Luke : Pear, Nut, Gourd, Parsley

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lpetrich
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Post by lpetrich » Thu Dec 14, 2017 1:52 pm

Hidden Text:

1. They grow 12 different varieties.
2. Everybody grows exactly 4 different varieties
3. Each variety is at least in one garden.
4. Only one variety is in 4 gardens.
5. Only in one garden are all 3 kinds of crops.
6. Only in one garden are all 4 varieties of one kind of crops.
8. Paul's garden is in the middle with no lily.
9. Aster grower doesn't grow vegetables.
10. Rose growers don't grow parsley.
12. In the first garden are apples and cherries.
13. Only in two gardens are cherries.
15. Luke grows exactly two kinds of fruit.
16. Tulip is only in two gardens.
17. Apple is in a single garden.
20. Hank grows neither vegetables nor asters.
21. Paul has exactly three kinds of vegetable.

Rules: 11, 14, 18, 19 (elimination: 20)
  • Hank : Pear, Apple, Cherry
  • Sam : Onion, Cherry
  • Paul :
  • Zick :
  • Luke : Pear, Nut, Gourd, Parsley

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lpetrich
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Post by lpetrich » Thu Dec 14, 2017 2:00 pm

Hidden Text:

Rules: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 17, 20, 21
  • Hank : Pear, Apple, Cherry, Rose
  • Sam : Onion, Cherry, Rose, Tulip
  • Paul : Carrot, Gourd, Onion, Rose
  • Zick : Aster, Rose, Tulip, Lily
  • Luke : Pear, Nut, Gourd, Parsley

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Post by lpetrich » Thu Dec 14, 2017 2:05 pm

Meeting the Challenge Puzzle

Eight couples lend each other some books. Each couple shares a last name, favorite color, car, and job type.

1. Daniella Black and her husband work as Shop-Assistants.
2. The book "The Seadog" was brought by a couple who drive a Fiat and love the color red.
3. Owen and his wife Victoria like the color brown.
4. Stan Horricks and his wife Hannah like the color white.
5. Jenny Smith and her husband work as Warehouse Managers and they drive a Wartburg.
6. Monica and her husband Alexander borrowed the book "Grandfather Joseph".
7. Mathew and his wife like the color pink and brought the book "Mulatka Gabriela".
8. Irene and her husband Oto work as Accountants.
9. The book "We Were Five" was borrowed by a couple driving a Trabant.
10. The Cermaks are both Ticket-Collectors who brought the book "Shed Stoat".
11. Mr and Mrs Kuril are both Doctors who borrowed the book "Slovacko Judge".
12. Paul and his wife like the color green.
13. Veronica Dvorak and her husband like the color blue.
14. Rick and his wife brought the book "Slovacko Judge" and they drive a Ziguli.
15. One couple brought the book "Dame Commissar" and borrowed the book "Mulatka Gabriela".
16. The couple who drive a Dacia, love the color violet.
17. The couple who work as Teachers borrowed the book "Dame Commissar".
18. The couple who work as Agriculturalists drive a Moskvic.
19. Pamela and her husband drive a Renault and brought the book "Grandfather Joseph".
20. Pamela and her husband borrowed the book that Mr and Mrs Zajac brought.
21. Robert and his wife like the color yellow and borrowed the book "The Modern Comedy".
22. Mr and Mrs Swain work as Shoppers.
23. "The Modern Comedy" was brought by a couple driving a Skoda.

Who likes Violet? And can you find out everything about everyone from this?

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lpetrich
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Post by lpetrich » Thu Dec 14, 2017 2:18 pm

Hidden Text:

2. The book "The Seadog" was brought by a couple who drive a Fiat and love the color red.
7. Mathew and his wife like the color pink and brought the book "Mulatka Gabriela".
9. The book "We Were Five" was borrowed by a couple driving a Trabant.
10. The Cermaks are both Ticket-Collectors who brought the book "Shed Stoat".
11. Mr and Mrs Kuril are both Doctors who borrowed the book "Slovacko Judge".
12. Paul and his wife like the color green.
14. Rick and his wife brought the book "Slovacko Judge" and they drive a Ziguli.
15. One couple brought the book "Dame Commissar" and borrowed the book "Mulatka Gabriela".
16. The couple who drive a Dacia, love the color violet.
17. The couple who work as Teachers borrowed the book "Dame Commissar".
18. The couple who work as Agriculturalists drive a Moskvic.
20. Pamela and her husband borrowed the book that Mr and Mrs Zajac brought.
21. Robert and his wife like the color yellow and borrowed the book "The Modern Comedy".
22. Mr and Mrs Swain work as Shoppers.
23. "The Modern Comedy" was brought by a couple driving a Skoda.

Rules: 1, 3, 4, 5, 6, 8, 13, 19

| Daniella | Black | | | Shop Assistant | | Owen | Victoria | | Brown | | | | Stan | Hanna | Horricks | White | | | | | Jenny | Smith | | Wartburg | Warehouse Manager | | Alexander | Monica | | | | | | Grandfather Joseph Otto | Irene | | | | Accountant | | | Veronica | Dvorak | Blue | | | | | Pamela | | | Renault | | Grandfather Joseph |
Last edited by lpetrich on Thu Dec 14, 2017 2:35 pm, edited 2 times in total.

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lpetrich
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Post by lpetrich » Thu Dec 14, 2017 2:54 pm

Hidden Text:

2. The book "The Seadog" was brought by a couple who drive a Fiat and love the color red.
7. Mathew and his wife like the color pink and brought the book "Mulatka Gabriela".
9. The book "We Were Five" was borrowed by a couple driving a Trabant.
10. The Cermaks are both Ticket-Collectors who brought the book "Shed Stoat".
11. Mr and Mrs Kuril are both Doctors who borrowed the book "Slovacko Judge".
12. Paul and his wife like the color green.
15. One couple brought the book "Dame Commissar" and borrowed the book "Mulatka Gabriela".
16. The couple who drive a Dacia, love the color violet.
20. Pamela and her husband borrowed the book that Mr and Mrs Zajac brought.
21. Robert and his wife like the color yellow and borrowed the book "The Modern Comedy".
22. Mr and Mrs Swain work as Shoppers.
23. "The Modern Comedy" was brought by a couple driving a Skoda.

Rules: 14, 17, 18 (elimination: 7, 10, 11, 12, 20, 21, 22)

| Daniella | Black | | | Shop Assistant | | Owen | Victoria | | Brown | | | | Stan | Hanna | Horricks | White | Moskvic | Agriculturalist | | | Jenny | Smith | | Wartburg | Warehouse Manager | | Alexander | Monica | | | | | | Grandfather Joseph Otto | Irene | Zajac | | | Accountant | | Rick | Veronica | Dvorak | Blue | Zhiguli | Teacher | Slovacko Judge | Dame Commissar | Pamela | | | Renault | | Grandfather Joseph |

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lpetrich
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Post by lpetrich » Thu Dec 14, 2017 3:04 pm

Hidden Text:

2. The book "The Seadog" was brought by a couple who drive a Fiat and love the color red.
7. Mathew and his wife like the color pink and brought the book "Mulatka Gabriela".
9. The book "We Were Five" was borrowed by a couple driving a Trabant.
12. Paul and his wife like the color green.
15. One couple brought the book "Dame Commissar" and borrowed the book "Mulatka Gabriela".
16. The couple who drive a Dacia, love the color violet.
20. Pamela and her husband borrowed the book that Mr and Mrs Zajac brought.
21. Robert and his wife like the color yellow and borrowed the book "The Modern Comedy".
23. "The Modern Comedy" was brought by a couple driving a Skoda.

Rules: 10, 11, 22 (elimination: 7, 12, 20, 21)

| Daniella | Black | | | Shop Assistant | | Owen | Victoria | Kuril | Brown | | Doctor | | Slovacko Judge Stan | Hanna | Horricks | White | Moskvic | Agriculturalist | | | Jenny | Smith | | Wartburg | Warehouse Manager | | Alexander | Monica | Cermak | | | Ticket Collector | Shed Stoat | Grandfather Joseph Otto | Irene | Zajac | | | Accountant | | Rick | Veronica | Dvorak | Blue | Zhiguli | Teacher | Slovacko Judge | Dame Commissar | Pamela | Swain | | Renault | Shopper | Grandfather Joseph |

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Poker Favorites and Fibs

Post by Swammerdami » Thu Dec 14, 2017 3:08 pm

Poker Favorites and Fibs

One Friday evening, seven men met for poker in the back room of the Emerald City Bar and Grill. They broke up about midnight, and (because they left any odd change for the busboys) they each went home with a whole number of dollars. Though they played for small stakes, they did take the game seriously and each went home happy to remember one special hand he had held.

Two of the men were bachelors. The others had wives who didn't approve of gambling, and each had to invent a fib to tell his wife. (Two fibbed a mutual alibi -- they said they'd been cavorting together at a honkytonk.)

From the clues determine each man's name, how much money he went home with, his favorite hand, and, for each married man, what fib he told his wife.

Clue 1: The five married men included two who each went home with four times as much money as one of his six fellow players. The other three married men were Alan, the one whose favorite hand was a Full House, and the one whose favorite hand was his Bluff on a busted four-flush.

Clue 2: There were two men who each left with exactly three times as much money as some fellow player. One of these was the one (just mentioned in clue 1) who Bluffed on a busted four-flush. The other was the one who told his wife that his watch had stopped.

Clue 3: One man (not Fred) finished with exactly as much money as the other six put together. The second-place man had less than $12. The seven players all had different amounts, and each had at least $2.

Clue 4: One man's favorite hand was a Pair of Jacks, with which he called successfully against a bluffer. Another man told his wife ``I was tied-up at work.'' That ``tied-up'' man left with more money than Greg, and four times as much money as one player.

Clue 5: Greg finished with more money than the man whose favorite hand was Triplet Treys, who finished with more money than the one who told his wife he'd been abducted by a UFO.

Clue 6: Carl went home with less money than Dave. At least one of these two left with exactly one-quarter as much money as one of his six fellow players.

Clue 7: The man who bragged about his Royal Flush ended up among the lowest three for money.

Clue 8: Ezra finished with $1 more than the man (not Alan) whose big hand was when he drew to an Inside Straight.

Clue 9: The man (not Dave) whose favorite hand was Aces Over Eights, finished with more money than Bill (who isn't a bachelor).

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Post by lpetrich » Thu Dec 14, 2017 3:09 pm

Hidden Text:

7. Mathew and his wife like the color pink and brought the book "Mulatka Gabriela".
12. Paul and his wife like the color green.
15. One couple brought the book "Dame Commissar" and borrowed the book "Mulatka Gabriela".
21. Robert and his wife like the color yellow and borrowed the book "The Modern Comedy".
23. "The Modern Comedy" was brought by a couple driving a Skoda.

Rules: 2, 9, 16, 20 (elimination: 7, 12, 21)

| Daniella | Black | | Trabant | Shop Assistant | | We Were Five Owen | Victoria | Kuril | Brown | | Doctor | | Slovacko Judge Stan | Hanna | Horricks | White | Moskvic | Agriculturalist | | | Jenny | Smith | | Wartburg | Warehouse Manager | | Alexander | Monica | Cermak | Violet | Dacia | Ticket Collector | Shed Stoat | Grandfather Joseph Otto | Irene | Zajac | Red | Fiat | Accountant | The Seadog | Rick | Veronica | Dvorak | Blue | Zhiguli | Teacher | Slovacko Judge | Dame Commissar | Pamela | Swain | | Renault | Shopper | Grandfather Joseph | The Seadog

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Post by lpetrich » Thu Dec 14, 2017 3:18 pm

Hidden Text:

Rules: 7, 12, 15, 21, 23

Matthew | Daniella | Black | Pink | Trabant | Shop Assistant | Mulatka Gabriela | We Were Five Owen | Victoria | Kuril | Brown | Skoda | Doctor | The Modern Comedy | Slovacko Judge Stan | Hanna | Horricks | White | Moskvic | Agriculturalist | Dame Commissar | Mulatka Gabriela Robert | Jenny | Smith | Yellow | Wartburg | Warehouse Manager | We Were Five | The Modern Comedy Alexander | Monica | Cermak | Violet | Dacia | Ticket Collector | Shed Stoat | Grandfather Joseph Otto | Irene | Zajac | Red | Fiat | Accountant | The Seadog | Shed Stoat Rick | Veronica | Dvorak | Blue | Zhiguli | Teacher | Slovacko Judge | Dame Commissar Paul | Pamela | Swain | Green | Renault | Shopper | Grandfather Joseph | The Seadog

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Post by Swammerdami » Fri Dec 15, 2017 9:00 am

[quote=""Swammerdami""]Poker Favorites and Fibs[/quote]

It was many years ago that I composed this puzzle, and I'd forgotten how difficult it can be. :bang:

First step is to use arithmetic to deduce the seven dollar amounts; if you wish I'll save you that effort:
Hidden Text:
Six lowest dollar amounts are in the range $2 to $11 (3). The largest (seventh) amount is 4 times another [there are two such 4x amounts (1) but {2,8} is the only such {x,4x} combination that can occur among the amounts in range 2 to 11]. If the largest amount were also 3 times another amount it would be at most $33 [3*11] but a multiple of 12 [since it is also a multiple of 4] so $24 at most, which is impossible [the smallest sum of six distinct numbers above 1 (3) is 27 = 2+3+4+5+6+7] so both multiples of 3 must be among the six low amounts, so both {2,6} and {3,9} are present in the amounts [two men had three times another (2) and only these ways are possible]. Thus five of the seven amounts are $2, $3, $6, $8, $9. These sum to 28 so the two remaining amounts are some {y, y+28} (3).

The large amount is $32 or $36 [only multiples of 4 equal to y+28 with y in the range 2 to 11] but not $36 [seventh amount would be a second 8 [y = 36 - 28 = 8] but there are no duplicates (7)] so is $32 [y = 4]; the seven amounts are $2, $3, $4, $6, $8, $9, $32. The 4x amounts mentioned in (1) and (4) can only be $8 or $32, and the 3x amounts mentioned in (2) must be $6 and $9 [only possibilities].

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Poker Favorites and Fibs

Post by Swammerdami » Sat Dec 16, 2017 4:08 am

Poker Favorites and Fibs: Solution
Hidden Text:
The man with $32 [largest amount, and one of only two 4 times another] isn't Alan (1), Fred (3), Greg (4), Carl (6), Ezra (8), or Bill (9) so is Dave; and isn't aces-over (9), full-house, bluff (1), triplets (5), royal-flush [which is $2, $3 or $4 (7)], or straight (8), so is paired-jacks; he isn't a bachelor (1), the tied-up man (4), abducted (5), or stopped-watch (2), so is cavorting.
Hidden Text:
The tied-up man is $8 [$8 and $32 are only amounts 4 times another (4)], so Greg is $4 or $6 (4), so triplets at most $4, abducted at most $3 (5). Tied-up man [$8] isn't triplets [at most $4], jacks [$32], bluff, full-house (1), royal-flush (7) so is inside-straight or aces-over.
Hidden Text:
Watch-stopped and Bluff are $6 and $9 in some order (2); Bluff is cavorting by elimination.

We now know:

Code: Select all

        Dave   32     Jacks    Cavort
        -       8       I/A    Tied-up
        -     9/6     Bluff    Cavort
        -     9/6     I/A/F    Stopped   | Alan or full-house
        -     3/2    I/A/R/F   Abduct    | full-house or Alan
        -    4/3/2    I/A/R    Bachelor
        -     4/3     Trips    Bachelor
At his point, a brief trial-and-error search may be needed. We note that Alan [not a bachelor (1)] is either stopped-watch or abducted.

Suppose that Alan is abducted. Bill would be $6 [(9), elimination], so aces-over $8 (9) so Greg $4 and inside-straight [elimination (8)], so Ezra $5 (8), but there is no $5. This contradiction means Alan is stopped-watch; abducted is full-house [elimination].
Hidden Text:
The bachelors' favorite hands were triplets and royal-flush. Ezra is $9; inside-straight $8 [(8), elimination]. Alan is $6 and Aces-over, so Greg [$6 or $4] is $4, triplets $3; Abducted is $2 (5) and Bill [(9), elimination]. Carl is $8 [elimination (6)], Fred $3 [elimination].

In summary:
Bill, $2, Full House, was abducted by UFO
Fred, $3, Triplet Treys, bachelor
Greg, $4, Royal Flush, bachelor
Alan, $6, Aces Over 8's, his watch stopped
Carl, $8, Inside Straight, tied up at work
Ezra, $9, Bluff, cavorting at honkytonk
Dave, $32, Paired Jacks, cavorting at honkytonk

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Post by lpetrich » Sat Dec 16, 2017 2:49 pm

Hidden Text:
From Clue 1, at least two players had 4 times as much money as two other players.
From Clue 2, two players had 3 times as much money as two other players.
From Clue 3, the players all had different amounts of money. Each player had at least $2, and all but the one with the most money had less than $12. The one with the most money had as much as the others put together.

I'll assume that all the players had integer numbers of dollars, something not explicitly stated in the problem.

Using Mathematica, I found a solution.

From Clue 3, the players have 210 possible money values. From Clues 1 and 2, there is only one solution:

{2, 3, 4, 6, 8, 9, 32}

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Post by lpetrich » Sat Dec 16, 2017 3:27 pm

Hidden Text:
The gamblers' money values are:
{2, 3, 4, 6, 8, 9, 32}

From Clues 1 and 2, all the players with integer multiples of others' money amounts are married ones. Their amounts are $6, $8, $9, and $32. The remaining amounts are $2, $3, and $4.

From Clues 1 and 2:
4x - married
4x - married
Alan - married
Full House - married
3x - Bluff - married
bachelor
bachelor

3x - married - watch stopped

The bluff was on a busted 4-flush.

From Clues 5 and 9:
Greg - married
Bill - married
Triplet Treys - married
Aces over Eights - married

From Clues 4, 5, and 9:
Orders of married ones:
Tied up at work - 4x times another player
Greg
Triplet Treys
Abducted by a UFO

Pair of Jacks
Bluff

Aces over Eights
Bill

Since the tied-up one must be either at first or second place, the tied-up one must be at first place, with $32. Thus:

Orders:
$32 - married - tied up at work
Greg - married
Triplet Treys - married
married - Abducted by a UFO

Pair of Jacks - married
3x - Bluff - married

Aces over Eights - married
Bill - married

Unaccounted for:
4x - married
3x - married - watch stopped
Alan - married
Full House - married
bachelor
bachelor

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Post by lpetrich » Sat Dec 16, 2017 3:46 pm

Hidden Text:
The gamblers' money values are:
{2, 3, 4, 6, 8, 9, 32}

Orders:
$32 - married - tied up at work
Greg - married
Triplet Treys - married
married - Abducted by a UFO

Pair of Jacks - married
3x - Bluff - married

Aces over Eights - married
Bill - married

Unaccounted for:
4x - married
3x - married - watch stopped
Alan - married
Full House - married
bachelor
bachelor

The UFO abductee cannot be a 3x, so that gentleman must have $4. The next one up is a 3x, and cannot have had Triplet Treys. This means all five married players are ordered, and thus we have their money values.

From Clue 6, at least one of Carl and Dave had 1/4 the money of one of the other players. That means $2. Since Carl had less money than Dave, Carl had $2 and Dave $3.

Orders:
$32 - married - tied up at work
$9 - Greg - married
$8 - Triplet Treys - married
$6 - married
$4 - married - Abducted by a UFO
$3 - Dave - bachelor
$2 - Carl - bachelor

Pair of Jacks - married
3x - Bluff - married

Aces over Eights - married
Bill - married

Unaccounted for:
3x - married - watch stopped
Alan - married
Full House - married

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lpetrich
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Post by lpetrich » Sat Dec 16, 2017 4:03 pm

Hidden Text:
Orders:
$32 - married - tied up at work
$9 - Greg - married
$8 - Triplet Treys - married
$6 - married
$4 - married - Abducted by a UFO
$3 - Dave - bachelor
$2 - Carl - bachelor

Pair of Jacks - married
3x - Bluff - married

Aces over Eights - married
Bill - married

Unaccounted for:
3x - married - watch stopped
Alan - married
Full House - married

From Clue 8, we have only one place for Ezra.

The married ones have these hands: Triplet Treys, Pair of Jacks, Bluff, Aces over Jacks, and Full House. From Clue 7, the Royal Flush was had by a bachelor.

The hands had orders Aces over Eights > (some hand), Pair of Jacks > Bluff. This means that the bluffer must have been in 3rd or 4th place. That also makes the Full House the remaining low hand.

Orders:
$32 - married - tied up at work
$9 - Greg - married
$8 - Triplet Treys - married
$6 - Bluff - married
$4 - Ezra - Full House - married - abducted by a UFO
$3 - Dave - Inside Straight - bachelor
$2 - Carl - Royal Flush - bachelor

Pair of Jacks - married
3x - Bluff - married

Aces over Eights - married
Bill - married

Unaccounted for:
3x - married - watch stopped
Alan - married

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lpetrich
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Post by lpetrich » Sat Dec 16, 2017 4:22 pm

Hidden Text:

I made a mistake. It did state an integer number of dollars.

Orders:
$32 - married - tied up at work
$9 - Greg - married
$8 - Triplet Treys - married
$6 - Bluff - married
$4 - Ezra - Full House - married - abducted by a UFO
$3 - Dave - Inside Straight - bachelor
$2 - Carl - Royal Flush - bachelor

Pair of Jacks - married
3x - Bluff - married

Aces over Eights - married
Bill - married

Unaccounted for:
3x - married - watch stopped
Alan - married

At this point, I find a contradiction. Alan, Bill, and Fred must be in the two bottom slots for names. I thus must have made a mistake somewhere.

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Post by lpetrich » Sat Dec 16, 2017 5:51 pm

Hidden Text:
Money amounts: {2, 3, 4, 6, 8, 9, 32}

First, whoever had $32.

1: Not Alan, not Full House, not Bluff.
2: Not Stopped Watch.
3: Not Fred.
4: Not Greg.
5: Not Triplet Treys or UFO Abductee.
6: Not Carl.
7: Not Royal Flush.
8: Not Ezra, not Inside Straight.
9: Not Bill.

Not Alan, Bill, Carl, Ezra, Fred, Greg -- must be Dave

9: Not Aces over Eights

Not Full House, Bluff, Triplet Treys, Royal Flush, Inside Straight, Aces over Eights -- must be Pair of Jacks

4: Not Tied Up

Not Stopped Watch or UFO Abductee or Tied Up -- must be Cavorting at a Honkytonk Bar

$32 - Dave - Pair of Jacks - Married - Cavorting

Now whoever had $8.
1: Not Alan, not Full House, not Bluff.
2: Not Stopped Watch.
4: Tied Up at Work, not Greg
5: Not Triplet Treys, not UFO Abductee
6: Carl
7: Not Royal Flush
8: Not Ezra

$8 - Carl - (Inside Straight or Aces over Eights) - Married - Tied Up

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lpetrich
Posts: 14453
Joined: Mon Feb 23, 2009 6:53 pm
Location: Lebanon, OR, USA

Post by lpetrich » Sat Dec 16, 2017 8:52 pm

Hidden Text:
Money amounts: {2, 3, 4, 6, 8, 9, 32}

$32 - Dave - Pair of Jacks - Married - Cavorting
$8 - (Inside Straight or Aces over Eights) - Married - Tied Up
$2 or $8 - Carl
(corrected mistake of previous post)

Clue 1:
Alan - Married
Full House - Married
Bluff - Married - Cavorting

Clue 2: $6 or $9:
Bluff - Married - Cavorting
(Alan or Full House) - Married - Stopped Watch
(neither): (Full House or Alan) - Married

Clues 4, 5: Behind $8:
Greg
Triplet Treys
Married - UFO Abductee

Clue 9: Behind $8: Bill - Married

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lpetrich
Posts: 14453
Joined: Mon Feb 23, 2009 6:53 pm
Location: Lebanon, OR, USA

Post by lpetrich » Sat Dec 16, 2017 8:53 pm

Hidden Text:

I was stumped, so I decided to use Mathematica again, to do a brute-force search. I obtained 5 solutions:

$32, Dave, Pair of Jacks, Cavorting
$9, Ezra, Bluff, Cavorting
$8, Carl, Inside Straight, Tied Up
$6, Alan, Aces over Eights, Stopped Watch
$4, Greg, Royal Flush, Bachelor
$3, Fred, Triplet Treys, Bachelor
$2, Bill, Full House, UFO Abductee

$32, Dave, Pair of Jacks, Cavorting
$9, Fred, Full House, Stopped Watch
$8, Alan, Aces over Eights, Tied Up
$6, Bill, Bluff, Cavorting
$4, Greg, Royal Flush, Bachelor
$3, Ezra, Triplet Treys, Bachelor
$2, Carl, Inside Straight, UFO Abductee

$32, Dave, Pair of Jacks, Cavorting
$9, Fred, Bluff, Cavorting
$8, Alan, Aces over Eights, Tied Up
$6, Bill, Full House, Stopped Watch
$4, Greg, Royal Flush, Bachelor
$3, Ezra, Triplet Treys, Bachelor
$2, Carl, Inside Straight, UFO Abductee

$32, Dave, Pair of Jacks, Cavorting
$9, Fred, Full House, Stopped Watch
$8, Alan, Aces over Eights, Tied Up
$6, Greg, Bluff, Cavorting
$4, Ezra, Triplet Treys, Bachelor
$3, Bill, Inside Straight, UFO Abductee
$2, Carl, Royal Flush, Bachelor

$32, Dave, Pair of Jacks, Cavorting
$9, Fred, Bluff, Cavorting
$8, Alan, Aces over Eights, Tied Up
$6, Greg, Full House, Stopped Watch
$4, Ezra, Triplet Treys, Bachelor
$3, Bill, Inside Straight, UFO Abductee
$2, Carl, Royal Flush, Bachelor

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