Take the digits 2, 0, 0 and 3. Make equations equating to all the integers from 1 to 150 using these digits according to the following rules:-

a) The above digits are the only digits to be used and no other digits should appear anywhere in the equation (except on the side where the answer will be).

b) Use of any mathematical symbols are allowed.

c) The digits 2, 0, 0 and 3 should appear in the given order in the equation. e.g - 0 + 2 + 3 + 0 = 5 is not acceptable.

d) When using the mathematical symbols try using the most simplest forms as much as possible.

I'm still not too big on saying that 'floor' and 'ceil' should be considered "mathematical symbols." Maybe no one else agrees, but it doesn't set right with me. Trig functions I can swallow, and it appears that may be necessary to tackle this problem, but I hope not to have to round off any sloppy numbers.
My list is still largely incomplete, but, I have quite a few numbers with solutions simpler than those Brian came up with by rounding. I am sure that there are quite a few more that I have overlooked as well.

My list to date is now on a flooble notepad, so anyone can go look, and add any numbers you may have solved for as well. The point, at least my goal, is to not use the rounding functions in the solutions.
http://www.flooble.com/cgi-bin/mypad.pl?id=2003

What does everyone else think?

Posted by DJ on 2003-04-24 20:04:33