In Hash table H, collision is resolved by using chaining. There are 29 slots in H. The average number of elements stored in a chain is 130. What is the total number of elements stored in H?Correct answer is '3770'. Can you explain this answer?

Question

Answer

< b='' />Understanding the Problem< />
We have a hash table H with 29 slots and collision resolution is done using chaining. The average number of elements stored in a chain is given as 130. We need to find the total number of elements stored in the hash table H.

< b='' />Solution< />

< b='' />Step 1: Finding the Number of Chains< />
To find the total number of elements stored in the hash table, we first need to determine the number of chains. Since collision resolution is done using chaining, each slot in the hash table can have a chain of elements.

Given that the average number of elements in a chain is 130, we can calculate the number of chains as follows:

Number of chains = Number of slots in hash table = 29

< b='' />Step 2: Calculating the Total Number of Elements< />
To calculate the total number of elements stored in the hash table, we need to multiply the number of chains by the average number of elements in a chain. This will give us the total number of elements stored in the hash table.

Total number of elements = Number of chains * Average number of elements in a chain

Substituting the values, we have:

Total number of elements = 29 * 130 = 3770

Therefore, the total number of elements stored in the hash table H is 3770.

< b='' />Summary< />
- The hash table H has 29 slots and collision resolution is done using chaining.
- The average number of elements stored in a chain is given as 130.
- To find the total number of elements stored in the hash table, we multiply the number of chains (29) by the average number of elements in a chain (130).
- The total number of elements stored in the hash table H is 3770.

Answer

Given,

Total slots = total chain = 29

Average no. of elements stored in a chain = load factor = 175

Formula:

Load factor =

Now,
⇒ 130 =

Total number of elements = 130 × 29

= 3770

Hence, the correct answer is 3770.

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