For a decimal mid-square hash function, what is the bucket index for key = 240, N = 200, and R = 3?

Question

BlackTom AI · Accepted Answer

The task asks: For a decimal mid-square hash function, what is the bucket index for key = 240, N = 200, and R = 3?

First, compute the square of the key: 240^2 = 57600.

Next, apply the mid-square extraction with R = 3 digits. With the value 57600 (which has 5 digits), the middle 3 digits are 7, 6, and 0, giving 760.

Finally, map this extracted value to a bucket using the number of buckets N = 200, by taking the modulus: 760 mod 200 = 160.

Thus, the interpreted bucket index from the mid-square method under these parameters is 160.

Note on potential edge cases: If the mid-square extraction had been defined with padding to a fixed width (e.g., ensuring a certain total number of digits before selecting the middle R digits), the middle digits could differ if the padding altered the digit positions. However, using the straightforward approach with 57600 and R = 3 yields 760 as the middle digits, leading to 160 after the modulus operation.

For a decimal mid-square hash function, what is the bucket index for key = 240, N = 200, and R = 3?单项选择题

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