Assume an open addressing hash table implementation, where the size of the array is N = 19, and that  double hashing is performed for collision handling. The second hash function is defined as: d(k) = q - k mod q, where k is the key being inserted in the table and the prime number q is = 7. Use simple  modular operation (k mod N) for the first hash function.  i) Show the content of the table after performing the following operations, in order: put(45), put(25), put(12), put(61), put(38), put(88), remove(12), put(39), remove(61),  put(18), put(29), put(29), put(35). i) What is the size of the longest cluster caused by the above insertions?  ii) What is the number of occurred collisions as a result of the above operations?  iii) What is the current value of the table’s load factor?

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