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Answer :
Final answer:
The brute-force algorithm will make a specific number of comparisons to search for each pattern in the binary text of one thousand zeros.
Explanation:
The brute-force algorithm will make comparisons to search for each of the given patterns in the binary text consisting of one thousand zeros. To calculate the number of comparisons, we need to count the number of times each pattern occurs, both successfully and unsuccessfully.
a) Pattern 00001 occurs once. Therefore, 5 comparisons are made to find a successful match.
b) Pattern 10000 does not occur in the text, so 1001 comparisons are made to reach the end without finding a match.
c) Pattern 01010 occurs twice. Hence, 11 comparisons are made to find two successful matches.
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Final answer:
In a brute-force algorithm search within a binary text of 1000 characters, searching for any given 5-character pattern would involve approximately 4980 comparisons, inclusive of both successful and unsuccessful attempts.
Explanation:
The question asks how many comparisons a brute-force algorithm would make when searching for specific patterns in a binary text consisting of one thousand zeros. The brute-force search method involves comparing the target pattern to the source text sequentially for all possible positions.
For simplicity, we will interpret the task as seeking how many comparisons would be needed for each pattern within a hypothetical binary sequence.
For patterns like a.00001, b.10000, and c.01010, the algorithm will compare each character of the pattern with the characters in the text starting from the first character of the text until it finds a match or reaches the end. Considering that these patterns are 5 characters long and assuming the text is long enough, the comparison count can be simplified as:
- Total comparisons = (Length of text - Length of pattern + 1) * Length of pattern
However, without specific details on the exact length of the binary text and positions of these patterns, the exact number of comparisons (successful and unsuccessful) cannot be precisely calculated. Generally, for a text of 1000 characters, assuming maximal overlap:
- For any 5-character pattern, the total comparisons would roughly be (1000 - 5 + 1) * 5 = 4980 comparisons.
This count includes both successful and unsuccessful comparisons as the brute-force method does not optimize for already checked segments or patterns.
