Hash Tables and Hash Functions >> Data Structures
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Hash Tables and Hash Functions
TOTAL POINTS 4
1. What is the size of the array needed to store integer keys with up to 1212 digits using direct addressing?
1 point
12
1012
212
2.What is the maximum possible chain length for a hash function h(x) = x \bmod{1000}h(x)=xmod1000 used with a hash table of size 10001000 for a universe of all integers with at most 1212 digits?
1 point
109
1
1012
3. You want to hash integers from 00 up to 10000001000000. What can be a good choice of pp for the universal family?
1 point
1000003
1000002
999997
4. How can one build a universal family of hash functions for integers between -1000000−1000000 (minus one million) and 10000001000000 (one million)?
1 point
Take the universal family for integers with p = 1000003p=1000003.
First, add 10000001000000 to each integer and get the range of integers between 00 and 20000002000000. Then use the universal family for integers with p = 2000003p=2000003.
First, add 10000001000000 to each integer. Then use the universal family for integers with p = 1000003p=1000003.
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