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Article #13562

Here's a tough puzzle...

#13562
From: Zabel
Date: Wed, 18 Sep 1996 00:00
45 lines
1913 bytes
Try this out:

Use four 4's and add, subtract, multiply, divide and square root them to
try to come up with every number from 1 to 100. You must use all four
4's, and no more than four. You can not square any of the fours to make
it 16, but you can raise a four to the fourth power.

You can also use factorials. Like (4! * 4 + 4) / 4
4! is equal to 4 * 3 * 2 * 1 which equals 24.

and you can use 4 to the 4th power.   <-- This counts as using 2 fours.

You put the square root sign over any part of the equation. It is
hard to illustrate on the computer, but I hope you can see what I'm doing
here:
(square root of (4) * 4!) / (square root of (2)) + 4! = 72


This is how you get the number 1:
(4 + 4 - 4) / 4 = 1.
Now try to figure out how to get the number 2. Then 3. Up to 100.
It is possible. Some are very easy, some are medium, and some are very
difficult to figure out.


 4 - 2 * 4 * 4               32 
 4 + 4 * 4 + 2               34 
 4 + 4 * 4 + 4               36 
 2 + 4 + 4 * 4               40 
 4 + 4 + 4 * 4               48 
 4 * 4 - 2 * 4               56 
 4 * 4 * 4 - 4               60 
 4 * 4 * 4 - 2               62 
 (4 / 4) + (4 * 4!)          97
 
You can also group the fours into the numbers 44, 444 and 4444. But if you
use 4444, then you've used up all your fours.   

If you can get 50 or more, E-Mail them to me.
If you get all 100, you are awesome.

Ian Zabel
zabel@planet.net
http://planet.net/pzabel
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From: "Zabel" <zabel@planet.net>
Subject: Here's a tough puzzle...
Date: 1996/09/18
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