levenshtein c

Sure! Here is a step-by-step explanation of the Levenshtein algorithm in C:

Step 1: Initialize the matrix - Create a 2D matrix with dimensions (m+1) x (n+1), where m and n are the lengths of the two strings being compared. - This matrix will be used to store the minimum number of operations required to transform one string into the other.

Step 2: Initialize the first row and column - Iterate through the first row of the matrix and assign values from 0 to n. - Iterate through the first column of the matrix and assign values from 0 to m. - These values represent the number of operations required to transform an empty string into the corresponding substring.

Step 3: Fill in the matrix - Iterate through the remaining cells of the matrix, starting from row 1 and column 1. - For each cell, calculate the minimum of three values: - The value above the current cell + 1 (representing insertion) - The value to the left of the current cell + 1 (representing deletion) - The value diagonally above and to the left of the current cell + 1 if the characters at the current positions are different, or + 0 if they are the same (representing substitution) - Assign the minimum value to the current cell.

Step 4: Calculate the Levenshtein distance - The value in the bottom right cell of the matrix represents the minimum number of operations required to transform the first string into the second string. - This value is known as the Levenshtein distance.

Step 5: Trace back the operations - Starting from the bottom right cell, trace back the operations by checking the values in the surrounding cells. - If the value in the cell above the current cell is smaller, it means an insertion operation was performed. - If the value in the cell to the left of the current cell is smaller, it means a deletion operation was performed. - If the value in the cell diagonally above and to the left of the current cell is smaller, it means a substitution operation was performed. - Repeat this process until reaching the top left cell of the matrix.

Step 6: Output the operations - Output the operations in the order they were performed, along with the corresponding characters from the two strings being compared. - This will provide a detailed understanding of the transformations required to convert one string into the other.

I hope this explanation helps! Let me know if you have any further questions.