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Homework 09
METU CENG310
Data Structures and Algorithms with Python

1 Hash Tables
The ten most common words in English, along with their hash codes according are as in Table 1.
Order Word Hash Code
1 the 114801
2 of 3543
3 to 3707
4 and 96727
5 a 97
6 in 3365
7 is 3370
8 it 3371
9 you 119839
10 that 3558823
Table 1: The ten most common words in English, along with their hash codes.
Task-1: Suppose these strings are inserted into a 14-bucket hash table in the order shown above. Each string’s
bucket is its hash code modulo 14. If collisions occur, each bucket is implemented as a simple unsorted map,
with new items added to the end of the list. Show the contents of all buckets after these strings are inserted.
Give each bucket as a bucket number followed by a list of strings, with the head of the list at the left.
Task-2: Suppose these strings are inserted into a 14-bucket hash table in the order shown. Each string’s initial
bucket is its hash code modulo 14. If collisions occur, use linear probing with a step size of 1. Show the
contents of all buckets after these strings are inserted. Give each bucket as a bucket number followed by the
string in that bucket, if any.
2 Instructions
Pertaining to the answers of this homework, correct typing of superscripts (e.g., n
2
) and subscripts (e.g., n0)
matters. Due to this reason, this homework may be done on paper and returned as a PDF file containing
the answer sheet captures (photos, scanned files). If you would like you can use MS Word or Latex, but your
deliverable has to be a single PDF file. PDF file should be created so that the answers appears in the same
order as the questions shown in the homework assignment document.
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