ah crap. that actually makes so much sense! thanks for the enlightenment!

And on my computer looking through 1,15000000 takes about 2 seconds. Is that too much????

Is this a logarithm problem? I have a solution that once again will work for smaller numbers, but once you hit the bigguns it times out! Ughhhhh

I have had two working solutions for Python and both took too long. How much brute force is okay? Really hitting a wall here...

This may definitely help!

I did see the hint there. Just wondering if it means anything so far but I saw when I graph the hyperbola for n = 12, x = 4 is intersected at y = +- 1. Since we are only interested in positive answers, the intersection at (4, 1) seems to be leading me onto something maybe? EDIT : Well it definitely works for all the test examples. Just how to quickly get all quadrant I integer only plot points???? HMMMMM

Bravo!

Hey just wanted to let you know about .split() method. If you type m = 'abcdefghijklmnopqrstuvwxyz'.split() it will make you a list of all the elements just like you do already have there for your m variable. If you already knew that, sorry!