Tavern Games
Puzzlarians love games. In the Puzzlarian Tavern, residents enjoy chess, darts, cards, pocket billiards, snooker, and word games. Chris and Kightmare are sitting at one of the tables, enjoying a cool beverage, and playing a word game.
The game involves a well known number sequence and the participants memory ability.
Chris begins the sequence by saying. "One".
Knightmare says, "One - two".
Chris says. "One - two - three."
The first 20 numbers in the sequence are:
1-2-3-2-1-2-3-4-2-1-2-3-4-3-2-3-4-5-3-2
Knowing that the 40th number is "2" ... who will be the first to say "10"?
The game involves a well known number sequence and the participants memory ability.
Chris begins the sequence by saying. "One".
Knightmare says, "One - two".
Chris says. "One - two - three."
The first 20 numbers in the sequence are:
1-2-3-2-1-2-3-4-2-1-2-3-4-3-2-3-4-5-3-2
Knowing that the 40th number is "2" ... who will be the first to say "10"?
posted by Zaux at
4:22 AM
26 Comments:
Chris OR Knightmare
It appears that Knightmare always repeats Chris but ends with a two, while Chris always advances to the next number at the end.
If so Chris will say a number first.
That would mean Knightmare only calls for 2, but he doesn't, he also was first to say 4 and 5. At first I went with C-K-C-K-C-K-... with who advances next numbers, but since Knightmare was first for 4 and 5, doesn't quite work. I'm interested in what's it going to be, or rather, why :P
I concur with Pingy. I think we need to guess the well known number sequence to make any progress.
I don't have the complete solution but it seems to me that we need to seperate the ascending pattern of numbers form the descending pattern of numbers and it starts to make sense thus.....
123
21
234
21
234
32
345
32
It seems that aside from the initial 123 sequence the patterns then repeat twice before moving on.
The descending numbers are in pairs, the ascending in threes, and each rises by 1 after the second repeat.
Just realised that the above doesn't fit with the final sentence which states "Knowing that the 40th number is "2"...."
Oh well, back to the calculator.
HAHAH! It's so easy I can't believe I missed it! If I may double post to quickly mash it up in my notepad, I'll reveal the secret in just a minute :P
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So have I. Did you check the time?
At the moment I think it's Chris on the 993 rd term. How did those guys cope?
Just thought of Chris on the 293 rd term.
Sorry, internet kinda went dead. At first I had a theory that it kinda repeats itself and also advances (which it does) as in:
1-2-3-2-1
1-2-3-4-2-1
2-3-4-3-2
2-3-4-5-3-2
but then I realised that at that rate it would never repeat the 2, but since I had time to think, I figured it's actually roman numbers, or rather amount of letters in roman numbers, which was easily to be proven and also supports that 40th is 2 - XL. Now the hard part though, which number has 10 numbers? If it divides with 2, it's Knightmare. I believe the number to be 338 (CCCXXXVIII) as it is the first number who needs three ones, three tens, three hundreds and then something (five). So that would mean Knightmare.
Woah, that's good one.
I think it's 288
with CCLXXXVIII
My bad, did not think of that! Good point. It should be 288 then.
Isn't it weird romans prefer VIII over IIX or LXXX over XXC?
LOL. I missed that one.
My first try was CMLXXXVIII = 983
Next was CCLXXXXIII = 293.
But T_itiwuts' CCLXXXVIII = 288 is better => Knightmare.
Roman numbers do my head in.
But I've now seen CLXXXXVIII = 198 => Knightmare
Isn't 198 "CXCVIII"
Great puzzle Zaux
Aaargh. CMLXXXVIII = 988 not 983.
Now I'm not sure if CLXXXXVIII is valid. I think 198 is CXCVIII.
Is XCLXXXVIII = 178 valid (=>Knightmare)?
Rats. DA beat me. But that's 2 votes.
Jeez! you guys are good. I really thought this might go unsolved...
Looks like Pingy was the first to mention Roman Numerals. and he he is certainly right.
According to the source, Knightmare would be the first to say "10" on the 288th response:
CCLXXXVIII
Once again, great job ... I'm impressed
Losing marbles. DA didn't beat me ☺.
But XC has two votes as the start.
Chris, 178 is CLXXVIII, you have an eroneous leading "X".
Damn Romans
Looks like XC isn't allowed. According to Wiki 178 = CLXXVII.
What a lot of crossed post.
... see what I mean ;)
Just noticed T_itiwuts was the first with "288" ... so he credit for the first correct answer, but Pingy gets the credit for discovering the Roman Numeral connection to the series.
That'll learn me for being enigmatic :(
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