bonanova Posted October 30, 2007 Report Share Posted October 30, 2007 Alex hadn't been to Morty's for a few days, because, it was later learned, he was home trying to get brainden to come up on his aging computer. When Jamie called to see if he was OK, he told Alex it was down for maintenance, and the boys missed him. And so, even tho a little red-faced [ ], Alex trudged in last night. I've been thinking, he said, about using this old watch chain in my pocket for this Friday night's poker game. And he held up a tiny gold chain with 21 links in it. OOOOOOOOOOOOOOOOOOOOO The problem is that I want to be able to make smaller groups of links. Look here, I'll show you what I mean. Suppose I were to cut the 8th link. And he sketched this picture: OOOOOOO C OOOOOOOOOOOOO [making chains of length 7 and 13 links, and a single, cut link] Then I could make bets of 1, 7, 8, 13, 14, 20 or 21 links. But I want to be able to bet any number of links, from 1 to 21. Ever since last Thursday I've been thinking about how to do that cutting as few links as possible. Now, I'll buy a pint for the first one of ya that can match my best idea. Tell me how many links to cut, and which ones. Alex's solution cuts fewer than five links. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 30, 2007 Report Share Posted October 30, 2007 brainden wished to have more space. let's free your chains. however i can do it only in two cuts OOO C OOOOOO C OOOOOOOOOO 3/1/6/1/10 Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted October 30, 2007 Author Report Share Posted October 30, 2007 Barkeep, A pint for the smiley one here! Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 30, 2007 Report Share Posted October 30, 2007 cheers! Quote Link to comment Share on other sites More sharing options...
0 Guest Posted October 30, 2007 Report Share Posted October 30, 2007 Another idea C C OO C OOOOOOO C OOOOOOOO - 4 cuts 1= 1 2= 2 3= 2+1 4= 2+1+1 5= 2+1+1+1 6= 2+1+1+1+1 7= 7 8= 8 9= 8+1 10= 8+2 11= 8+2+1 12= 8+2+1+1 13= 8+2+1+1+1 14= 8+2+1+1+1+1 15= 8+7 16= 8+7+1 17= 8+7+2 18= 8+7+2+1 19= 8+7+2+1+1 20= 8+7+2+1+1+1 21= 8+7+2+1+1+1+1 Quote Link to comment Share on other sites More sharing options...
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bonanova
Alex hadn't been to Morty's for a few days, because, it was later
learned, he was home trying to get brainden to come up on his
aging computer. When Jamie called to see if he was OK, he told
Alex it was down for maintenance, and the boys missed him. And
so, even tho a little red-faced [
], Alex trudged in last night.
I've been thinking, he said, about using this old watch chain in my
pocket for this Friday night's poker game. And he held up a tiny
gold chain with 21 links in it.
OOOOOOOOOOOOOOOOOOOOO
The problem is that I want to be able to make smaller groups of
links. Look here, I'll show you what I mean. Suppose I were to
cut the 8th link. And he sketched this picture:
OOOOOOO C OOOOOOOOOOOOO
[making chains of length 7 and 13 links, and a single, cut link]
Then I could make bets of 1, 7, 8, 13, 14, 20 or 21 links.
But I want to be able to bet any number of links, from 1 to 21.
Ever since last Thursday I've been thinking about how to do that
cutting as few links as possible. Now, I'll buy a pint for the first
one of ya that can match my best idea.
Tell me how many links to cut, and which ones.
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