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-   -   Jokes and Riddles Centre (http://forum.shrapnelgames.com/showthread.php?t=9958)

CNCRaymond July 22nd, 2003 10:23 AM

Re: Jokes and Riddles Centre
 
Quote:

Originally posted by Nocturnal:
[edit:] Whoo, a lot of people jumped all over this one. LOL
<font size="2" face="Verdana, Helvetica, sans-serif">Sorry, I did not mean to jump on you friend. It is early and I have been up all day. No harm no foul. Please accept my apology.

Nocturnal July 22nd, 2003 10:30 AM

Re: Jokes and Riddles Centre
 
Here's a nice one.

While vacationing, you discover that you have been robbed. Your wallet and all your cash have been stolen.

You cannot afford to pay for a hotel room, and since it's a local holiday all the banks are closed. You won't be able to send for any money for seven days.

You go to the hotel you reserved and explain the situation, but they refuse to extend credit.
However, you are wearing a gold bracelet with seven links, of the kind that closes with a clasp. Each link is worth enough to pay for a night in your hotel. The hotel is willing to accept this as collateral until you can pay in full.

Being a suspicious type yourself, you'll only let the hotel have as much collateral as they are due on any given day. Today you leave one link, tomorrow two, the next day three, and so on until the week is up when you'll leave all seven. By then you will be able to pay in full and retrieve your bracelet.

This agreed to, you prepare to cut the bracelet. Considering its high emotional-value, you want to do as little damage as possible so it may be easily repaired. What is the fewest number of cuts you can make so the hotel may hold onto all the collateral they need on any day, but no more?

Jack Simth July 22nd, 2003 10:43 AM

Re: Jokes and Riddles Centre
 
Quote:

Originally posted by Nocturnal:
Here's a nice one.

While vacationing, you discover that you have been robbed. Your wallet and all your cash have been stolen.

You cannot afford to pay for a hotel room, and since it's a local holiday all the banks are closed. You won't be able to send for any money for seven days.

You go to the hotel you reserved and explain the situation, but they refuse to extend credit.
However, you are wearing a gold bracelet with seven links, of the kind that closes with a clasp. Each link is worth enough to pay for a night in your hotel. The hotel is willing to accept this as collateral until you can pay in full.

Being a suspicious type yourself, you'll only let the hotel have as much collateral as they are due on any given day. Today you leave one link, tomorrow two, the next day three, and so on until the week is up when you'll leave all seven. By then you will be able to pay in full and retrieve your bracelet.

This agreed to, you prepare to cut the bracelet. Considering its high emotional-value, you want to do as little damage as possible so it may be easily repaired. What is the fewest number of cuts you can make so the hotel may hold onto all the collateral they need on any day, but no more?

<font size="2" face="Verdana, Helvetica, sans-serif">It can be done with a single cut:
0: Undo clasp, so it is a line;
1: Cut link 3 and remove (one + two connected, four+five+six+seven connected)

Process:
First day: give single link. (you: 2+4, them: 1)
Second Day: retrieve single, give double (you: 1+4, them: 2)
Third day: give single (you: 4, them: 2+1)
Fourth day: retrieve all, give quad (you: 2+1, them: 4)
Fifth day: give single (you: 2, them: 4+1)
Sixth day: retrieve single, give double: (you: 1, them: 4+2)
Seventh (final) day: give single (you: none, them: 4+2+1)

It's disguised binary counting.

[ July 22, 2003, 09:46: Message edited by: Jack Simth ]

Jack Simth July 22nd, 2003 10:53 AM

Re: Jokes and Riddles Centre
 
Quote:

Originally posted by narf poit chez BOOM:
now, what has two wings, six eyes and eight legs?
<font size="2" face="Verdana, Helvetica, sans-serif">A spider with a mostly eaten fly.

Taera July 22nd, 2003 11:26 AM

Re: Jokes and Riddles Centre
 
spiders have eight legs. count them out.

Taera July 22nd, 2003 11:26 AM

Re: Jokes and Riddles Centre
 
*lightbulb*
i know, a spider with a pair of wings instead of one pair of legs.

Nocturnal July 22nd, 2003 02:26 PM

Re: Jokes and Riddles Centre
 
Quote:

Originally posted by Jack Simth:
It can be done with a single cut:
0: Undo clasp, so it is a line;
1: Cut link 3 and remove (one + two connected, four+five+six+seven connected)

Process:
First day: give single link. (you: 2+4, them: 1)
Second Day: retrieve single, give double (you: 1+4, them: 2)
Third day: give single (you: 4, them: 2+1)
Fourth day: retrieve all, give quad (you: 2+1, them: 4)
Fifth day: give single (you: 2, them: 4+1)
Sixth day: retrieve single, give double: (you: 1, them: 4+2)
Seventh (final) day: give single (you: none, them: 4+2+1)

It's disguised binary counting.

<font size="2" face="Verdana, Helvetica, sans-serif">Very good. That is correct.

Wardad July 22nd, 2003 06:22 PM

Re: Jokes and Riddles Centre
 
THE DUMBEST GUY ON EARTH!!!!
well almost http://forum.shrapnelgames.com/images/icons/icon10.gif

http://www.sunbelt-software.com/stu/

Loser July 23rd, 2003 01:39 AM

Re: Jokes and Riddles Centre
 
Quote:

Originally posted by Taera:
*lightbulb*
i know, a spider with a pair of wings instead of one pair of legs.

<font size="2" face="Verdana, Helvetica, sans-serif">Arthropod physiology is different from vertebrate physiology in significant ways. If I recall correctly, arthropod wings did not develop from specialized limbs, but rather from specialized sections of carapace. Much the same way, a scorpion has eight legs, it's claws are overdeveloped mandibles.

As a side note, there are no flying arachnids. Though there are some sailing spinners and ballistic leapers, which could be close but is not powered flight.

Loser July 23rd, 2003 01:41 AM

Re: Jokes and Riddles Centre
 
Quote:

Originally posted by narf poit chez BOOM:
now, what has two wings, six eyes and eight legs?
<font size="2" face="Verdana, Helvetica, sans-serif">A mounted Falconer.


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