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Solution: Decode Ways

Explore a dynamic programming approach to determine the number of ways to decode a string of digits into letters. Understand how to use memoization and tabulation to optimize decoding by checking one- and two-digit mappings, and learn how to reduce space complexity while solving this common coding interview problem.

Statement

Given a string that has only positive digits, your task is to decode the string and determine the number of possible ways to decode it.

Consider the input string as an encoded message, where each digit in the string represents an alphabet from A to Z. For reference, let’s look at the mapping below:

"1" represents "A"

"2" represents "B"

"3" represents "C"

\dots

"26" represents "Z"

How to perform the decode operation?

To decode an encoded message, we have to check whether or not each digit in the string can be mapped onto the mapping above. There can be multiple ways to decode a string.

For example, the string "231012" can be decoded in the ...