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Still though, it seems that if I exhaust the possibilities (throw away each grid and start a new one) eventually I'll get a grid that adheres to the guidelines and have myself a randomly generated...

I figured it out. It's fail logic. For instance, while filling a 9 x 9, 2 dimensional array of integers 1 - 9 there's a high probability that this problem occurs:

123456789
987645321
79856423x
...

I've been trying to figure this out all night. I started on this sudoku program and for some reason it's in an infinite loop. Basically, I'm using Math.random() to generate integers and collecting...