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bonanova

Cut Alex's chain .. [or maybe pull it!]

Question

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 [ :blush: ], 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.

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Guest

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

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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

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