The largest number of equal digits produced that can be adjectant to a digit is two. One from the left, one from the right. Making it three digits. If there already are more then one digit, the group will be collapsed into a lesser number and the digits will be seperated by a different one...
So if you can only ever have 3 equal digits in a row, the biggest number appearing is 3...
It's really time for me to go to sleep, so I might not have understood your proof correctly, but I guess it sort of says the same as mine (if mine is understandable :)
How about if this was espanded into a 2D matrix?
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Cardinal Tars Tarkas, KSC. |