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Posts posted by bonanova
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The holes on the board can be colored red, green and blue
in such a way that each move involves a hole of each color.
Example: blue peg jumps a green peg and lands in a red hole.
Continue making all possible moves, and every hole will eventually be colored.
In terms of these colors, think about the starting position and
a winning end position. Can a series of moves go from the
starting position to a winning end position?
In terms of colors, what happens on each move?
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Gezundheit!i have tried this lots of times and would have to say that it cant be done or there is one specific way of going about it. i hate it when i sneezed cos i blew everything out of place ( i drew the board on a piece of paper and the pegs were paper too...)I used a bigger board with pennies ...
There is a proof [that it can or can't be done] and it's cute.
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Since we've nearly completed the task, might be interesting to compare with what others came up with.
Picture:[url:1c45f]http://photos1.blogger.com/blogger/4320/817/1600/75%20bands%20answers.0.jpgList:1: Led Zeppelin
2: Gun & Roses
3: B 52s
4: Black Flag
5: White Zombie
6: Smashing Pumpkins
7: Rolling Stones
8: White Snake
9: The Eagles
10: Blind Mellon
11: Sex Pistols
12: Queen
13: Garbage
14: Alice in Chains
15: Matchbox 20
16: The Eels
17: Dinosaur Jr.
18: 50 cent
19: Beach Boys
20: 9 Inch Nails
21: Seal
22: The Dead Kennedy's
23: Madonna
24: The Monkees
25: Ratt
26: Great White
27: The Police
28: The Oranges
29: Radiohead
30: Korn
31: Lemon Heads
32: The Blues Travelers
33: Iron Maidon
34: The Pixies
35: Prince
36: Phish
37: Red Hot Chili Peppers
38: Blur
39: Twisted Sister
40: Cowboy Junkies
41: Gorillaz
42: U2
43: Crowded House
44: Black Crows
45: Cars
46: BeeGees
47: White Stripes
48: Talking Heads
49: Yellowman
50: Kiss
51: Eminem
52: Deep Purple
53: Pink
54: Hole
55: Jewel
56: Green Day
57: Blondie
58: Pavement
59: Spoon
60: Bush
61: Pet Shop Boys
62: Cake
63: Go-Gos
64: Manic Street Performers
65: The Postal Service
66: Cornershop
67: Scissor Sisters
68: The Vines
69: The Doors
70: Men at Work
71: The Cranberries
72: The Band
73: Cypress Hill
74: Skinny Puppy
75: Was
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Alex hadn't been seen for a week. And things just weren't
the same at Morty's. Jamie said it was cuz he'd lost his
last three bets to the geniuses over at Brainden. But Davey
opined Alex was not a sore loser. He'll be back, he said.
And it was no sooner said than Alex appeared at the door.
All smiles. And with a strange looking board under his arm.
Take a look, mates, he said, and laid it on the table:
What you see here is Alex's new version of the old solitaire
game that you play with pegs. There's one empty hole right
there in the center, and 36 other holes each with a peg.
You jump pegs over neighbors into empty holes, straight ahead,
along the lines ya see there, and remove the pegs that are
jumped. When ya can't make any more jumps, the game is over.
And if there's only one peg left, you've won.
Now who'll take my bet that none of ya is smart enough
to win? The last peg doesn't have to be in the center
hole, mind ya, but there can be only one peg standing
at the end.
Go ahead. Try a few games to get the idea. Then think it
over. If ya take the bet, you've got until Friday to write
down a winning game.
I'd advise against it, he winked. Cuz if you try and lose, then
I get free drinks till Christmas. Ya might be better off just
passing it on to the Brainden crowd.
Any takers here?
Number the holes like this.
--------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 32 33
------34 35 36 37
and write moves like this:
[1] - 6 [12] 19 - [that means: move #1 - peg 6 jumps and removes peg 12 and lands in hole 19]
[2] - ....... etc. 35 total jumps and you win.
Sign up now if ya want to try, then post yer solution by Friday.
Edit:
Take a hint from Alex's wink:
Prove that the game can be won. Or not.
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Or a tree or a building.
If trees and buildings could talk...
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Which reminds me of the old quote:Or if your friend had telekenisis he could move all the tumblers with his mind powers!All of you who believe in telekenesis please raise my hand.
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Not bad ...i got "felt trouser" im terrilbe with anagrams. -
huh? maybe im misunderstanding but al im doing is having the friend send one of his locks which hasnt been closed to "me" and and then I lock the box with the lock he sent me and since it was the friends lock in the first case he could open it... maybe i misread the question.
Sorry, I misread it, both times.
Yes that works.
Since the OP focuses on using the box that you have, this certainly qualifies as thinking outside the box.
Kudos to both you and WB!
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I think I have it
The 50th term is 55
The 63rd term is 73
The 100th term is 110
Am I right?
Bartender, pour the man a cold lager.
Wait. Pour him 31 lagers.
subtract N from the Nth term.
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[2], actually - so long as it has four letters.by four letters do you mean[1] actually arranging the term "four letters" into 6 words or
[2] just pick any random word and find 6 alterations to it?
But [1] is intriguing, also.
How about four letters becoming
soul fretter / tours refelt / ferret louts or fur or let set
since there are only four vowels, it's tough to make six words ...
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Ah, but the OP specified that ...You have him/ her send you an unlocked lock then you put it on the box then you send it back. since he/she has the key they can open itNote that you cannot send a key in an unlocked box, since it might be copied.
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There is a one to one correspondence between the terms in the sequence and the positive integers.Hmmm. This one has me stumped... for now. <!-- s:mrgreen: --><!-- s:mrgreen: -->A question: if we are to give the 50th, 63rd, and 100th terms, are we to assume that the terms given are 1-12 consecutively?
Also, if there are terms stretching to the 100th term, can we safely assume that the sequence is mathmatical in nature and not based on some other finite criterion? I assume it from this
Well, they just go on forever, they do.
The numbers given correspond to the numbers 1-12.
No.Is the 50th term 43?But this may be helpful:
terms 49 and 51 are respectively 58 and 59
terms 62 and 64 are respectively 70 and 73
terms 99 and 101 are respectively 109 and 114
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Take four letters and arrange them into six differently spelled words.
No proper names, abbreviations, etc ... you know the drill.
Just ordinary words you'd find in any dictionary.
Use each letter exactly once in each word.
Enjoy!
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Alex thought hard before going to Morty's last night after
losing bets two nights in a row.
But go he did, and with an extra swagger, because he had
come up with a challenge that he felt sure no one could meet.
You know those number series, like 1, 4, 9, 16, 25 ...
and the like? he asked, talking to no one in particular.
Well all the ones I've seen are like child's play. Last night
I come up with some numbers that none of ya here can
figure out - not in a month of Sundays.
Then grinning he added, But if anyone should be clever
enough, I'll buy him drinks for a month.
Davey appeared interested and sauntered over. Alex took
out a crumpled sheet of paper and handed it to him. On
it were scrawled, in Alex's dirty red ink, these numbers:
4, 5, 8, 8, 9, 9, 12, 13, 13, 13, 17, 18, ...
Ya see them numbers, do ya? Well, they just go on forever, they
do. And if ya figure out what they are, you'll be able to tell me the
50th, 63rd and 100th terms. And that's what it'll take to win.
With that, he sauntered over to shoot darts with Jamie - but not
before hollering back, Oh, and tell writersblock he's welcome to
give it a try, too.
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Alex slides another cold one down the bar to WB.
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You want to boil a perfect 3-minute egg.
For a timer, you have only two 4-minute fuses, that do not burn at an even rate.
Can you have breakfast without a runny [or overly hard] egg?
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After being done out of a pint of O'Doule's by writersblock
last night at Morty's, Alex conjured up a question calculated
to get him even.
After WB had downed his cool one, Alex proposed a double or
nothing puzzle. To the nearest percentage point, he asked,
what percentage of all numbers contain at least one 3?
For example, 13, 31, 33 and 103 all contain the digit 3 at least once.
But 1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, ... well
you get the idea ... don't contain the digit 3 even once.
Now I know there's a lot of numbers to check, so I'll make it
easy for ya, Alex said. I'll give you five multiple choices.
That gives you a 20% chance even if you guess, and much
better odds if you yer' the genius ya' make yerself out to be.
The percent of all numbers containing at least a single "3" is:
[1] 10%
[2] 13%
[3] 33%
[4] 67%
[5] 100%
What was writersblock's choice, and did he win another pint?
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Sliding a frosty cold one down the bar to writersblock!
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I have two questions?
1) Do you only have one box?
and
2) Do/Can you have multiple locks for one key or multiple keys for one lock?
You have only one box.
You have one key for each of your locks, but no keys for any of your friend's locks.
Your friend has one key for each of her locks, but no keys for any of your locks.
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I found a little cheer in tackling this
Sirs I believed you would also
When you discovered it a [sic] this on the boards
"I have discovered nothing!"
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Looking at the bright side, that still leaves quite a few candidates for friends ...
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polar bears are only in the northern hemisphere.
the north pole is no longer covered in ice due to global warming, so it is nothing but sea water with a few icebergs floating by.
and the only drugged out hippie that would build a house in the north pole would be santa claus; but he's a cool hippie.
also, while the geographic north pole does not change (AFAIK), the magnetic NP changes frequently, so it's impossible to "build" a house there that's going to remain there for a long period of time;
hence, I think the question refers to the geo NP.
Why is there debate about this?
The OP says four southern exposures.
Only at the Geo NP is this the case.
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Bumping this to the top so maybe the author will reply to the last question.
Thanks ...!
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Another quiet night at Morty's. Until Alex came in.
I bought a bunch of factory reject dice the other day, he said.
They're OK except the numbers are all wrong. Mostly they have
extra two's and three's, but this one [he held one up, far enough
away so the numbers could not be read] has all different numbers.Still, the numbers aren't 1-6.
I have a wager for anyone here who thinks he's a genius.
I'll roll the thing three times against that wall over there.
The bottom and back die faces won't be visible, but I'll give
you the sum of the four faces that are visible.As a bonus, I'll give you the sum of the top and front faces.
I'll buy a pint for anyone who can tell me all six numbers on the die.
If you try and can't figure it out, you'll buy me a pint.He rolled the die three times and called out the numbers:
Roll #1 = 28 and 18
Roll #2 = 18 and 7
Roll #3 = 22 and 6Jim thought for a while, then said, no way. There's too many possibilities.
So did Ian and Jamie.
Davey paused to scratch his beard and said, I'll try.Would you have taken the bet?
Alex gets even with writersblock. Or does he?
in New Logic/Math Puzzles
Posted
As the number of digits in the number increases, the likelihood that it contains a three increases.
In fact the fraction of N-digit numbers that contain a 3 is 1 - [.9]**N.
Note that [.9]**N becomes 0 at infinite N.