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Consider the list of data [56, 80, 39, 41, 29, 61] and the hash function h[i] = i % 7 where i is each element of the list. What will be the index value of the element 39?
- a)9
- b)3
- c)2
- d)4
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Consider the list of data [56, 80, 39, 41, 29, 61] and the hash functi...
- The hash function is modulo 7. This means, that each element is divided by 7 and the number is positioned at the index equal to the remainder.
- 39 % 7 = 4 and so the element is located at index position 4.
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Consider the list of data [56, 80, 39, 41, 29, 61] and the hash functi...
Index value of element 39:
To find the index value of the element 39 in the given list, we need to apply the hash function h[i] = i % 7 to each element in the list. The hash function calculates the remainder when i is divided by 7.
Let's apply the hash function to each element of the list:
- 56 % 7 = 0
- 80 % 7 = 3
- 39 % 7 = 4
- 41 % 7 = 6
- 29 % 7 = 1
- 61 % 7 = 5
As we can see, the element 39 yields a remainder of 4 when divided by 7. Therefore, its index value will be 4.
Explanation:
The hash function h[i] = i % 7 is a common method used for creating hash tables, where the index value of an element is determined by its hash value. In this case, the hash value is the remainder when the element is divided by 7.
By applying the hash function to each element in the list, we can distribute the elements across the hash table. This helps in efficient retrieval of elements by their index value.
In the given list, the element 39 results in a hash value of 4. This means that it will be stored at index 4 in the hash table. The index values start from 0, so the index value for the element 39 will be 4.
By using the hash function, we can quickly locate the element 39 in the hash table without having to search through the entire list. This improves the efficiency of operations that involve accessing or manipulating elements in the list.
Therefore, the correct answer is option 'D' - 4.
To find the index value of the element 39 in the given list, we need to apply the hash function h[i] = i % 7 to each element in the list. The hash function calculates the remainder when i is divided by 7.
Let's apply the hash function to each element of the list:
- 56 % 7 = 0
- 80 % 7 = 3
- 39 % 7 = 4
- 41 % 7 = 6
- 29 % 7 = 1
- 61 % 7 = 5
As we can see, the element 39 yields a remainder of 4 when divided by 7. Therefore, its index value will be 4.
Explanation:
The hash function h[i] = i % 7 is a common method used for creating hash tables, where the index value of an element is determined by its hash value. In this case, the hash value is the remainder when the element is divided by 7.
By applying the hash function to each element in the list, we can distribute the elements across the hash table. This helps in efficient retrieval of elements by their index value.
In the given list, the element 39 results in a hash value of 4. This means that it will be stored at index 4 in the hash table. The index values start from 0, so the index value for the element 39 will be 4.
By using the hash function, we can quickly locate the element 39 in the hash table without having to search through the entire list. This improves the efficiency of operations that involve accessing or manipulating elements in the list.
Therefore, the correct answer is option 'D' - 4.
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