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Consider a hash table of size seven, with starting index zero, and a hash function (3x + 4)mod7. Assuming the hash table is initially empty, which of the following is the contents of the table when the sequence 1, 3, 8, 10 is inserted into the table using closed hashing? Note that ‘_’ denotes an empty location in the table.
  • a)
    8, _, _, _, _, _, 10
  • b)
    1, 8, 10, _, _, _, 3
  • c)
    1, _, _, _, _, _,3
  • d)
    1, 10, 8, _, _, _, 3
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider a hash table of size seven, with starting index zero, and a h...
Let us put values 1, 3, 8, 10 in the hash of size 7. Initially, hash table is empty
The value of function (3x + 4)mod 7 for 1 is 0, so let us put the value at 0
The value of function (3x + 4)mod 7 for 3 is 6, so let us put the value at 6
The value of function (3x + 4)mod 7 for 8 is 0, but 0 is already occupied, let us put the value(8) at next available space(1)
The value of function (3x + 4)mod 7 for 10 is 6, but 6 is already occupied, let us put the value(10) at next available space(2)
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Most Upvoted Answer
Consider a hash table of size seven, with starting index zero, and a h...
Explanation:

  • The hash function is (3x+4)mod7.

  • The sequence to be inserted is 1, 3, 8, and 10.

  • Assuming closed hashing (i.e., if a location is occupied, look for the next empty location in a circular manner), the contents of the hash table after each insertion are as follows:

  • Inserting 1: location (3x+4)mod7 = 2 is empty, so insert 1 there.

  • Inserting 3: location (3x+4)mod7 = 1 is empty, so insert 3 there.

  • Inserting 8: location (3x+4)mod7 = 0 is empty, so insert 8 there.

  • Inserting 10: location (3x+4)mod7 = 6 is occupied (by 1), so look for the next empty location in a circular manner. The next empty location is (3x+4)mod7 = 3, so insert 10 there.

  • The final contents of the hash table are 1, 8, 10, _, _, _, 3.

  • Therefore, option B is correct.

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Consider a hash table of size seven, with starting index zero, and a hash function (3x + 4)mod7. Assuming the hash table is initially empty, which of the following is the contents of the table when the sequence 1, 3, 8, 10 is inserted into the table using closed hashing? Note that _ denotes an empty location in the table.a)8, _, _, _, _, _, 10b)1, 8, 10, _, _, _, 3c)1, _, _, _, _, _,3d)1, 10, 8, _, _, _, 3Correct answer is option 'B'. Can you explain this answer?
Question Description
Consider a hash table of size seven, with starting index zero, and a hash function (3x + 4)mod7. Assuming the hash table is initially empty, which of the following is the contents of the table when the sequence 1, 3, 8, 10 is inserted into the table using closed hashing? Note that _ denotes an empty location in the table.a)8, _, _, _, _, _, 10b)1, 8, 10, _, _, _, 3c)1, _, _, _, _, _,3d)1, 10, 8, _, _, _, 3Correct answer is option 'B'. Can you explain this answer? for Computer Science Engineering (CSE) 2024 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about Consider a hash table of size seven, with starting index zero, and a hash function (3x + 4)mod7. Assuming the hash table is initially empty, which of the following is the contents of the table when the sequence 1, 3, 8, 10 is inserted into the table using closed hashing? Note that _ denotes an empty location in the table.a)8, _, _, _, _, _, 10b)1, 8, 10, _, _, _, 3c)1, _, _, _, _, _,3d)1, 10, 8, _, _, _, 3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a hash table of size seven, with starting index zero, and a hash function (3x + 4)mod7. Assuming the hash table is initially empty, which of the following is the contents of the table when the sequence 1, 3, 8, 10 is inserted into the table using closed hashing? Note that _ denotes an empty location in the table.a)8, _, _, _, _, _, 10b)1, 8, 10, _, _, _, 3c)1, _, _, _, _, _,3d)1, 10, 8, _, _, _, 3Correct answer is option 'B'. Can you explain this answer?.
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