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I do agree in general with what you are saying. But sometimes the trouble is that the subdivision (at least a good one) is hard to find.

Often enough it is that you don't understand the problem well enough. But sometimes you just can't seem to find the proper sub-problems. I have had this experience while doing research work.



Thats true and I hope you often encounter that problem in research work; if you do not, you are too far from the edge.

And if somebody things "that never happens to me", I kindly ask you to take a look at the the Collatz conjecture [http://en.wikipedia.org/wiki/Collatz_conjecture].




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