Dynamic Programming Questions Medium
The time complexity of the Dynamic Programming approach for solving the Decode Ways problem is O(n), where n is the length of the input string.
In the Dynamic Programming approach, we build a table to store the number of ways to decode substrings of the input string. We start by initializing the table with base cases, and then fill in the table iteratively from left to right.
For each character in the input string, we consider two possibilities: either it can be decoded as a single digit or as a pair of digits. We update the table based on these possibilities and the values already present in the table.
Since we iterate through the input string once and perform constant time operations for each character, the time complexity of the Dynamic Programming approach is O(n).