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Re: King's Dilemma dilemma
Posted By: mpythongirl, on host 64.12.103.48
Date: Tuesday, April 16, 2002, at 22:23:38
In Reply To: Re: King's Dilemma dilemma posted by Jg on Tuesday, April 16, 2002, at 20:44:26:

> > Could you remind me of what the problem is, and I'll give you a hint about it?
>
> Here is the poem that's on the bulletin board. How do I solve it? I don't know where to being. It's not fun having a disability.
>
> " -- The King's Dilemma --
>
> King Llewellyn, from his palace
> Sensed designs of jealous malice
> From the neighboring lands of gloom.
> Called to arms a host of gallant
> Warriors, schemers, men of talent
> Banded 'gainst the pending doom.
>
> All those gathered, silent, solemn,
> Then were ranked by row and column,
> Equal numbers to each file.
> Though the king tried rows of seven,
> Then thirteen, and yes, eleven,
> Five were extra, every trial.
>
> Sighing deeply in frustration,
> Tried one final combination,
> Found success in rows of five.
> Tell me, if it not encumber
> Thee too much, to count the number
> Of the men who did arrive.
>
> Anonymous "
>
> All help appreciated!

This problem involves LCMs. The king tried rows of 13, 7, & 11, but had 5 left over each time. When he tried it in rows of 5, it worked. You need a number that's common to the 1st 3 numbers; then, with a little logic and some trial-and-error, you can find the number of people the king had. I rmemeber it's a 4-digit #.
--mpython"got this in about 5 minutes with my trusty TI-86 calculator; it has an LCM function!"girl

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