I've been able to solve any I've tried. I've found it's always just a matter of time...
The quickest I've solved one is under an hour, one time I think it took me a month of on and off mucking around with.
But I've never really been serious about solving it. It was more to keep me busy for a while in situations where there wasn't anything else around. Nowadays I find I have enough portable consoles that I don't have such problems. One goes flat, out comes the next.
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