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1 pointWe want to search the pattern strawberry in the text straw plus berry is strawberry what is the count of character comparisons using Boyer-Moore skipping heuristic and Brute force pattern matching respectively?

Question

1 pointWe want to search the pattern strawberry in the text straw plus berry is strawberry what is the count of character comparisons using Boyer-Moore skipping heuristic and Brute force pattern matching respectively?

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Solution

To find the count of character comparisons using the Boyer-Moore skipping heuristic, we need to understand how this algorithm works. The Boyer-Moore algorithm is a pattern matching algorithm that uses two main heuristics: the bad character rule and the good suffix rule.

  1. Bad character rule: This rule allows us to skip comparisons by looking at the rightmost occurrence of the mismatched character in the pattern. In our case, the pattern is "strawberry". So, when a mismatch occurs at position i in the text, we look at the rightmost occurrence of the character at position i in the pattern. If it exists, we can shift the pattern to align this occurrence with the mismatched character in the text. If it doesn't exist, we can shift the pattern by the length of the pattern.

  2. Good suffix rule: This rule allows us to skip comparisons by looking at the longest suffix of the pattern that matches a suffix of the text. If such a suffix exists, we can shift the pattern to align this suffix with the matching suffix in the text. If it doesn't exist, we can shift the pattern by the length of the pattern.

To calculate the count of character comparisons using the Boyer-Moore skipping heuristic, we need to analyze the text "straw plus berry is strawberry" and the pattern "strawberry".

Using the Boyer-Moore skipping heuristic, the count of character comparisons can be calculated as follows:

  1. Start comparing the pattern with the text from left to right.
  2. If a mismatch occurs at position i in the text, use the bad character rule to determine the shift amount.
  3. If the bad character rule doesn't apply, use the good suffix rule to determine the shift amount.
  4. Repeat steps 2 and 3 until the pattern is found or the end of the text is reached.

To calculate the count of character comparisons using the brute force pattern matching algorithm, we need to compare each character of the pattern with each character of the text.

Using the brute force pattern matching algorithm, the count of character comparisons can be calculated as follows:

  1. Start comparing the first character of the pattern with the first character of the text.
  2. If they match, move to the next character of the pattern and the next character of the text.
  3. If they don't match, move to the next character of the text and start comparing from the first character of the pattern again.
  4. Repeat steps 2 and 3 until the pattern is found or the end of the text is reached.

In this case, the pattern "strawberry" occurs once in the text "straw plus berry is strawberry". Therefore, the count of character comparisons using the Boyer-Moore skipping heuristic would be less than the count of character comparisons using the brute force pattern matching algorithm.

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