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Given the following input (4322,1334,1471,9679, 1989, 6171,6173, 4199) and the hash function x mod 10, which of the following statements are true?
1. 9679,1989,4199 hash to the same value
2. 1471,6171 hash to the same value
3. All elements hash to the same value
4. Each element hashes to a different value
  • a)
    1 only
  • b)
    2 only
  • c)
    1 and 2 only
  • d)
    3 and 4 only
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Given the following input (4322,1334,1471,9679, 1989, 6171,6173, 4199)...
Input (4322,1334,1471,9679,1989,6171,6173, 4199)
Given Hash function,
h(a) = x mod 10
h(a) = h(1)
= {1471,6171} hash to the same value
h(a) = h(2) = {4322}
h(a) = h(3) = {6173}
h(a) = h(9)
= {9679,1989,4199}has to the same value.
h(0), h(5), h{6), h(7), h(8) are empty for given input.
So the statement (i) and (ii) are correct.
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Most Upvoted Answer
Given the following input (4322,1334,1471,9679, 1989, 6171,6173, 4199)...
Understanding the Hash Function
The hash function given is "x mod 10", which means we will take each number and find its remainder when divided by 10. This will help us determine how the numbers hash.
Calculating Hash Values
Let's calculate the hash values for each number in the input:
- 4322 mod 10 = 2
- 1334 mod 10 = 4
- 1471 mod 10 = 1
- 9679 mod 10 = 9
- 1989 mod 10 = 9
- 6171 mod 10 = 1
- 6173 mod 10 = 3
- 4199 mod 10 = 9
Grouped Hash Values
Now, let's group the numbers by their hash values:
- Hash value 1: 1471, 6171
- Hash value 2: 4322
- Hash value 3: 6173
- Hash value 4: 1334
- Hash value 9: 9679, 1989, 4199
Evaluating the Statements
1. Statement 1: 9679, 1989, 4199 hash to the same value (True, all hash to 9).
2. Statement 2: 1471, 6171 hash to the same value (True, both hash to 1).
3. Statement 3: All elements hash to the same value (False, they hash to different values).
4. Statement 4: Each element hashes to a different value (False, as multiple elements share hash values).
Conclusion
The correct statements are 1 and 2. Therefore, the correct answer is option 'C': 1 and 2 only.
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Given the following input (4322,1334,1471,9679, 1989, 6171,6173, 4199) and the hash function x mod 10, which of the following statements are true?1. 9679,1989,4199 hash to the same value2. 1471,6171 hash to the same value3. All elements hash to the same value4. Each element hashes to a different valuea)1 onlyb)2 onlyc)1 and 2 onlyd)3 and 4 onlyCorrect answer is option 'C'. Can you explain this answer?
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