sphere packing
I learned quite a bit from this problem.
First, this problem can be solved by pencil and paper. I learned it from BrianHuffman on the third page of the discussion thread. BrianHuffman's explanation is very lucid. I like it.
I also practiced Dynamic programming method and random number method on this problem. Dynamic programming method gives me definite result but it takes a little bit more time(5-6 seconds). I also tried with some random number method, it seems inefficient but the result is just the opposite. It only takes 8ms.
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