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First, the split of 1634616512 in the example isn't valid because 6 is in there twice :) I approached this as a DP problem iteratively and it looks to me it can be solved almost greedily, where you try to get the 2 digit numbers as fast as possible. If the code runs into an issue however it must go back and see if another state can be broken up. Code in Python. Assuming input is a string but can be cast as that if necessary.
- Sunfire523 June 22, 2017