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Suppose an online retailer identifies each member with a 7-digit account number.

ID: 3910301 • Letter: S

Question

Suppose an online retailer identifies each member with a 7-digit account number. Define the hashing function h, which takes the first 4 digits of an account number as one number and the last 3 digits as another number, adds them, and then applies the mod-67 function. (30 points) a) How many linked lists does this create? b) Compute h(5716379). c) Computer h(3842137). Suppose an online retailer identifies each member with a 7-digit account number. Define the hashing function h, which takes the first 4 digits of an account number as one number and the last 3 digits as another number, adds them, and then applies the mod-67 function. (30 points) a) How many linked lists does this create? b) Compute h(5716379). c) Computer h(3842137). Suppose an online retailer identifies each member with a 7-digit account number. Define the hashing function h, which takes the first 4 digits of an account number as one number and the last 3 digits as another number, adds them, and then applies the mod-67 function. (30 points) a) How many linked lists does this create? b) Compute h(5716379). c) Computer h(3842137).

Explanation / Answer

Solution:

a) This will create 67 linked list.

Explanation: Since it is modulo 67 function, hence the possible hashed values are {0, 1, 2,......., 66}. Thus, it creates 67 linked list.

b) h(5716379):

5716 + 379 = 6095

6095 % 67 = 65

c) h(3842137):

3842 + 137 = 3979

3979 % 67 = 26

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