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adriverhoef
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Re: Weekend Puzzles

Al:
I don't tend to do word ladder puzzles (more a crosswords and sudoko fan...)
Yes, same for me (although I like Hourglass Word Ladder puzzles), however, I thought, in which way can I create a word ladder that's different from the common one (type 2)? E.g.: step one: change one letter, step two: change one letter, step three: mix all letters (anagram), step 4: repeat by going to step one, until you have found the solution. I didn't succeed finding a quick solution, so I cratched that possibility. So I ended up with three puzzles.

I think I can get from TRUMP to BIDEN the first way with 7 intermediate words, and for the second way I have managed with 13 intermediate words; fewer might be possible, but I'll settle for those for now :-)
The first one could theoretically be managed with 5 words, because there are 5 letters that must be changed. smile
13 for the second one sounds like a good score. I'd have to use the dictionary though, my English vocabulary is not that extensive.

The third case, however... Can you confirm my understanding that the rules mean that if I wanted to turn [say] CART into CAST I have to go CART -> CAT -> CAST...
That is correct! Or go CART -> CARTS -> CATS -> CASTS -> CAST (which is by no means any faster).
TBH, I needed the vocabulary to find out which English words that I tried to use are existing and legitimate.

Adri
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Sgt.Joe
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Re: Weekend Puzzles

I don't normally do word ladders, but this looks a bit intriguing. If I get both motivated and have some time, I will give it a go.
Cheers
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Sgt. Joe
*Minnesota Crunchers*
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alanb1951
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Re: Weekend Puzzles

The first one could theoretically be managed with 5 words, because there are 5 letters that must be changed. smile
Unfortunately, the combination of letters in the starter word rather rules that out :-)

As for the third case, I have now had a look at that and it was apparent that breaking down the starter word was messier than building up the finish word; I've used 10 intermediate words to make the ladder - I won't quote the size of each intermediate word unless someone wants the hint :-)

I also note that I'd miscounted my intermediate words for the second ladder -- 14, not 13!

Cheers - Al.

P.S. If you'd added a rule that said plural words weren't allowed I think the two ladders with fixed word lengths would have been impossible :-) -- I hope that isn't too much of a hint to solvers...
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[Edit 1 times, last edit by alanb1951 at May 1, 2023 5:43:27 AM]
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adriverhoef
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Re: Weekend Puzzles

(Word ladder 1)
The first one could theoretically be managed with 5 words, because there are 5 letters that must be changed. smile
Unfortunately, the combination of letters in the starter word rather rules that out :-)

If you change the P into an O, I could quickly manage TUMOR - HUMOR - MOURN - ROMAN - RADON - DRAIN - BRAIN etc. (as an example). (BTW, tumor, humor, roman and radon are also perfect Dutch words, while 'drain' and 'braindrain' are loan words in Dutch, and 'brain' is first person singular of the Dutch verb 'brainen' (I didn't know we had that short word for the longer Dutch verb 'brainstormen'), meaning 'to do brainstorming'.)

I also note that I'd miscounted my intermediate words for the second ladder -- 14, not 13!

Still impressive, Al.

P.S. If you'd added a rule that said plural words weren't allowed I think the two ladders with fixed word lengths would have been impossible :-) -- I hope that isn't too much of a hint to solvers...

Makes me think I could've also ruled out inflection of verbs. devilish Luckily, you don't have to be inflicted by all that. wink However, you may indeed need plural forms to solve the second word ladder with fixed word lengths, I couldn't do without them in any case. laughing

Adri
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adriverhoef
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Re: Weekend Puzzles

This weekend's puzzle was all about word ladders with several levels of difficulty.
Last night I have been lying awake, trying to figure out what words to use and which steps to take in word ladder 2, also wondering if some words really exist. A few hours later I must have fallen asleep, till the alarm clock went off again: time to rise and wake up.

Word ladder 1
From TRUMP to BIDEN. With each step, the next word must be derived from the former one and have exactly one letter changed. While changing one letter, it is allowed to change the order of the letters at the same time. Only common English words are allowed. Try to use as few steps as you can.

My solution(s):
7 steps: TRUMP - SPURT - TRIPS - TIRES - SIREN - RIBES - BINES - BIDEN
6 steps: TRUMP - TUMOR - ROUTE - TENOR - BONER - BONED - BIDEN
5 steps: TRUMP - MUTER - BRUTE - REDUB - BRIDE - BIDEN

Word ladder 2
From TRUMP to BIDEN (again). With each step, the next word must be derived from the former one and have exactly one letter changed. It is NOT allowed to change the order of the letters. Only common English words are allowed. Try to use as few steps as you can.

My solution(s):
21 steps: TRUMP - TRAMP - CRAMP - CRAMS - CRASS - CROSS - CROPS - CHOPS - CHAPS - CHATS - COATS - COSTS - POSTS - POSES - LOSES - LOVES - LIVES - LIVER - RIVER - RIDER - BIDER - BIDEN
18 steps: TRUMP - TRAMP - CRAMP - CRAMS - CRASS - CROSS - CROPS - CHOPS - CHAPS - CHATS - COATS - COSTS - CASTS - CASES - BASES - BAKES - BIKES - BIDES - BIDEN
12 steps: TRUMP - TRAMP - TRAMS - TRATS - BRATS - BRITS - BAITS - BASTS - BASIS - BASON - BISON - BIDON - BIDEN
13 steps: TRUMP - TRAMP - TRAMS - TRATS - BRATS - BRITS - BAITS - BASTS - BASIS - BASIN - BASON - BISON - BIDON - BIDEN
10 steps: TRUMP - TRAMP - TRAMS - TEAMS - TERMS - TERES - TIRES - WIRES - WIDES - WIDEN - BIDEN
9 steps: TRUMP - TRAMP - TRAMS - TEAMS - TERMS - TERES - TIRES - TIDES - BIDES - BIDEN

Word ladder 3
From TRUMP to BIDEN (yes, again). With each step, the next word must be derived from the former one and have exactly one letter less or more OR have one letter changed if there's only one letter left. You may only either add or remove ONE letter. So it is NOT allowed to change the order of the letters. Only common English words are allowed. Try to use as few steps as you can.

My solution:
TRUMP
RUMP
RUM
UM
U
I
BI
BID
BIDE
BIDEN

Thanks for your participation!
Adri
EDIT: The 12-step solution should have been a 13-step one after insertion of BASIN.
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[Edit 1 times, last edit by adriverhoef at May 4, 2023 10:19:46 AM]
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alanb1951
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Re: Weekend Puzzles

Adri,

I'm impressed by your vocabulary -- I had to look up several of the words you used and it's supposed to be my native tongue!

I had tried to solve without looking anything up, so I didn't get down to your shortest solutions. (RIBES? BINES? -- yes, I've looked them up now!)

So here are my efforts and comments (hopefully without any typos!):

Ladder 1:

Not sure how I missed the chance to use MUTER -- well done for 5!

I didn't go via TUMOR because I didn't even think of that spelling for it -- I might well have ended up with your answer if I had :-)

TRUMP - RUMPS - ROMPS - ROPES - SPIRE - TIRES - RIDES - BIDES - BIDEN

(Could have used SPORE and RITES instead of ROPES and TIRES)

Ladder 2:

TRUMP - TRAMP - TRAMS - TEAMS - BEAMS - BEARS - BEERS - BEETS - BESTS - RESTS - RUSTS - RUSES - RISES - RIDES - BIDES - BIDEN

By the way, your 12-step solution goes BASIS - BASON, which I think should be BASIS - BASIN - BASON for 13 steps? And I had to look up BASON (archaic word for BASIN!)

Ladder 3:

My solution is a little longer than yours because I didn't consider going down through UM and U to switch to I, so I went RUM - ARUM - ARM - AM - A - I instead... I wasn't sure whether an Atomic symbol would .be admissible (and I never liked U as a colloquialism so I'd not considered that option either...)

Once again, thanks for an interesting puzzle -- I've come across some words I wasn't aware of (or where I only knew another spelling that wasn't the right length...), so I count that as another plus!

Cheers - Al.
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[Edit 1 times, last edit by alanb1951 at May 4, 2023 5:20:28 AM]
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adriverhoef
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Re: Weekend Puzzles

Al:
By the way, your 12-step solution goes BASIS - BASON, which I think should be BASIS - BASIN - BASON for 13 steps?

Oops! You're absolutely right. Now this is what inserting a last minute solution does. laughing
I'll correct that.

Thanks!
Adri
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adriverhoef
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Re: Weekend Puzzles

This weekend's puzzle is all about digits. Each answer consists of only one digit. Place your answer to each description in the box to the left of the designated description.

      DESCRIPTIONS:
┌───┐
│ │ 1. First decimal of pi.
├───┤
│ │ 2. First prime number.
├───┤
│ │ 3. VI.
├───┤
│ │ 4. First decimal of e (or Euler's number).
├───┤
│ │ 5. First perfect number.
├───┤
│ │ 6. Square root of 25.
├───┤
│ │ 7. Not positive, not negative.
├───┤
│ │ 8. Number of faces of a cube.
├───┤
│ │ 9. Last digit of the number of squares on an International draughts game board.
├───┤
│ │ 10. Number of elements in an empty set.
├───┤
│ │ 11. Pair.
├───┤
│ │ 12. Even prime number.
├───┤
│ │ 13. Square root of the number of squares on a chess game board.
├───┤
│ │ 14. Atomic number of helium.
├───┤
│ │ 15. Number of planets between Earth and Sun.
├───┤
│ │ 16. Square root of the number of squares in the Letter Sudoku.
├───┤
│ │ 17. The name of my team on World Community Grid: top…0.nl.
├───┤
│ │ 18. Name of pointer in C indicating that it doesn't point to any valid object.
├───┤
│ │ 19. Number of Earth's natural satellites.
├───┤
│ │ 20. Smallest semiprime (or biprime).
├───┤
│ │ 21. 1³ + 2³.
├───┤
│ │ 22. Number of legs of an insect.
├───┤
│ │ 23. Sum of two opposite faces on a six-sided dice.
├───┤
│ │ 24. Exit code of the command true, as opposed to false, on UNIX/Linux.
├───┤
│ │ 25. First Mersenne prime.
├───┤
│ │ 26. Base of the binary system.
├───┤
│ │ 27. You cannot divide by ....
├───┤
│ │ 28. Number of faces on a square pyramid.
├───┤
│ │ 29. Number of South Africa's capitals.
├───┤
│ │ 30. Last digit of James Bond's code name.
├───┤
│ │ 31. ... Lake (name of this lake at 46°42'37"N 95°46'43"W, near Five Lake).
└───┘
Copy the 31 digits in the (vertical) column into the (horizontal) row below. This is the (final) answer.
┌──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┬──┐
│ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │ │
└──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┴──┘
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31


Good luck!
Adri
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Sgt.Joe
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Re: Weekend Puzzles

That is an interesting little puzzle. I did see you picked a spot in Minnesota. I will not post my answer so I don't spoil the fun. Just a bit curious if that 31 digit number has any special or particular meaning. I really don't see a pattern nor is it prime.
Cheers
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*Minnesota Crunchers*
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alanb1951
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Re: Weekend Puzzles

I agree with Sgt. Joe -- interesting!

However, unlike Sgt. Joe, I think I know what the 31-digit number is :-) [And it let me check my assumption about the correct answer regarding a square pyramid, which I assumed to be a solid...]

I admit to using a programming tool to check my hypothesis, rather than pencil and paper... :-)

I can't think of a specific hint that won't allow others to solve the puzzle without reference to the 31 clues already given. Sorry :-(

Cheers - Al.
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[Edit 2 times, last edit by alanb1951 at May 6, 2023 11:30:39 PM]
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