Which dynamic programming approach is used to solve the problem of finding the m
Practice Questions
Q1
Which dynamic programming approach is used to solve the problem of finding the minimum edit distance between two strings?
Bottom-up
Top-down
Greedy
Brute force
Questions & Step-by-Step Solutions
Which dynamic programming approach is used to solve the problem of finding the minimum edit distance between two strings?
Step 1: Understand the problem - The minimum edit distance is the number of operations needed to transform one string into another. The operations can be insertion, deletion, or substitution of a character.
Step 2: Define the dynamic programming table - Create a 2D table where the rows represent characters of the first string and the columns represent characters of the second string.
Step 3: Initialize the table - Fill the first row and first column of the table with the index values, representing the cost of converting an empty string to the other string.
Step 4: Fill the table - Use a nested loop to fill in the rest of the table. For each cell, calculate the minimum cost based on the three possible operations (insert, delete, substitute).
Step 5: Retrieve the result - The value in the bottom-right cell of the table will give you the minimum edit distance between the two strings.
