Suppose we want to apply Radix Sort to sort 100,000 4-letter words, with each letter taken from the English alphabet (26 letters, all lower cases). Assuming that the running time for sorting n elements within range 1..k using Counting Sort is 2n+2k, which of the following strategies will lead to the lowest running time? Show the justification. (1) treat letters at each of the four positions as a digit or (2) treat 2-letter subwords at positions 1-2 as a digit and 2-letter subwords at positions 3-4 as another digit or (3) treat all 4 letters as a digit.

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