3. Use the table below to convert a character key to an integer for the following questions.Letter A Bc |D EF|G |H |I |J |K L MKeyLetter NOPQRSKey0 12 3 45 6 789 10 11 12TUVWXYZ13 14 15 16 17 18 19 20 21 22 23 24 25(a)that order into an initially empty 13-item hash table: (E, A, S1, Y, Q,U, E2, S2, T, I,0, N). Useh(k) = k mod 13 for the hash function for the k-th letter of the alphabet (see above table forconverting letter keys to integer values). Use linear probing.Give the contents of the hash table that results when the following keys are inserted in(b) -, Give the contents of the hash table that results when the same keys are inserted inthat order into an initially empty 13-item hash table. Use h(k) = k mod 13 for the hash functionfor the k-th letter of the alphabet (see above table for converting letter keys to integer values).Use double hashing and let h'(k) =1+ (k mod 11) be the secondary hash function.

Answered: 3. Use the table below to convert a…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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The hash function h(k)= [(m(kA mod 1)] for A = 2-³ is used to insert the keys 61, 62, 63, 64, and 65 into a hash table of size m = 1000. The order of the hash codes in the table are given by a. 625, 125, 0, 750, 875 b. 625, 750, 625, 125, 0 c. 625,125, 0, 875, 750 d. 625, 750, 875, 0, 125 e. 625, 750, 125, 875, 0
Given a sequence of 5 keys < 53, 66, 32, 41, 88 > for searching task: a) Given the hash function H(k) = (3.k) mod 7, insert the keys above according to its original order (from left to right) into a hash table of 7 slots. Indicate the cases of collision. Clearly show the steps and calculation with a table. b) In case of any collisions found above in a) part, determine the new slot for each collided case using Linear Probing to solve the collision problem. Clearly show your answer for each identified case. No step of calculation required. o (Answer with “NO collision found”, in case there is no collisions found above) c) In case of any collisions found above in a) part, determine the new slot ONLY for the first collided case using Double-Hashing (with functions below) to solve the collision problem. Clearly show the steps of your calculation. d1 = H(k) = (3.k) mod 7 di = (di−1 + ((5·k) mod 6) + 1) mod 7 , i ≥ 2 o (Answer with “NO collision found”, in case there is no collisions…
Assume that linear probing is used for hash-tables. To improve the time complexity of the operations performed on the table, a special AVAILABLE object is used to mark a location when an item is removed from the location. Assuming that all keys are positive integers, the following two techniques were suggested instead of marking the location as AVAILABLE: i) When an entry is removed, instead of marking its location in the table as AVAILABLE, indicate the key in the location as the negative value of the removed key (e.g., if the removed key was 16, indicate the key as -16). Searching for an entry with the removed key would then terminate once a negative value of the key is found (instead of continuing to search if AVAILABLE is used). ii) Instead of using AVAILABLE, find a key in the table that should have been placed in the location of the removed entry, then place that key (the entire entry of course) in that location (instead of setting the location as AVAILABLE). The motive is to…
Insert the following sequence of keys in the hash table.Keys = {4, 2, 1, 3, 5, 6, 8}Use linear probing technique for collision resolution: h(k, i) = [h(k) + i] mod mHash function, h(k) = 3k + 1Table size, M = 10 Draw the hash table, compute the index where the hashvalue will be inserted for each key, and show how you would use the technique when a collisionoccurs.
Draw symbol table for the following code using separate chaining approach. Assume size of the table is 10. Show how the table evolves at each statement. You can calculate hash value using the hash() function provided underneath: public class CC { int a; public void m(int a) { char c='B'; { double d=0.0; } } } //end CC class public int hash( String k ) { int value = 0; for( int i=0; i<k.length(); i++ ) { value = value + (int)k.charAt( i ); } return value % 10; } //end HASH() function Hint: A-Z ranges 65-90 and a-z ranges 97-122. Hence identifier A will have has value 5, B will have 6, and similarly identifier AB will have 1 and so on.
Problem 1: After inserting 13 elements into a hash table the result looks as in Figure ??. Being a good student, you realize this is a problem. (i) What is the problem here? (ii) Give an example of a hash function that could give rise to this behavior. (iii) What would be a better hash function? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 0 →30 →→2131 → 1 2 → 33 →15 → 63 → 266 388 Slika 1: Hash table.
Calculate the final hash values for following keys, k={5,25,45}, given the hash function below: hi(k)=(hash1(k)+(i×hash2(k))) mod 20 hash1(k)=(k+2) mod 20 hash2(k)=17-(k mod 17)
vals Table: o 1 2 3 4 5 6 7 8 9 10 30 21 Empty-since-start Empty-after-removal Occupied Hash table valsTable uses double probing with the hash functions hash1(key): key % 11 hash2(key): 5-key % 5 and a table size of 11. HashInsert(vals Table, item 63) inserts item 63 into bucket Ex: 10 HashInsert(vals Table, item 62) inserts item 62 into bucket HashInsert(vals Table, item 32) inserts item 32 into bucket
Task 2. Instead of using the default hashCode method to each key, create a hash function applying the folding method. Within your hash function Split the string into 3 sub-strings, based from the reg-ex "-" Parse your sub-strings to Integer and add (folding method) Parse the summed value to String Initialize an int variable for your hash to 0 Loop to each character index of the String Apply the general formula for hashing: hash=31*hash+character in that index position; Append & 0xFFFFFFF to it to make the resulting hash positive Convert the hash to index of tablesize=20 using the % operator Return hash What index has the most occurrence of collisions?
Please help questions below: How good is the provided hash function--are we really getting constant time operations with our hashmap? Explain. What is one other way you could implement the hash function? Anything creative is acceptable in this answer, but justify how your hashing function works. If I have to resize the hashmap to add more buckets, what is th Big-O complexity when you resize? (Explain why) What is 'open addressing' in regards to hash maps and hash tables?
a hash has 13 buckets. Following are the keys of the hash table; 25,48,34,15 and 59. Calculate the indexes of the keys-type your calculations and explain
Extendible hash index:Consider the Extendible Hashing index shown in figure below: Show the state of the index after each operation:a) Insertion of entry 1b) Insertion of entry 23c) Deletion of entry 30

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