What is the best case time complexity of deleting a key from a linear probe table?

Question

BlackTom AI · Accepted Answer

Question: What is the best case time complexity of deleting a key from a linear probe table?

Option a: O(1)
- In the best case, the key to delete is located in the first probe position without any collisions. If the slot is found immediately, the delete operation can be performed in constant time. This mirrors the optimal scenario for open addressing where the lookup and delete path is a single step.

Option b: O(N) where N is the number of keys in the hash table
- This would imply that deleting a key requires scanning all keys in the table, which is not necessary in linear probing when the target key is present and the probe path is short. A worst-case linear scan could occur if many consecutive collisions happen, but the best case does not require scanning all keys.

Option c: O(M) where M is the capacity of the table
- O(M) would mean the operation depends on the total array size, including empty slots. In typical linear probing, the delete operation is guided by the probe sequence used during insertion and lookup, not by the full capacity. The best case avoids traversing the entire table.

Option d: O(hash)
- The notation O(hash) is unconventional in this context. Time complexity is usually expressed in terms of N, M, or other problem parameters. Using a symbol like hash to denote a cost is ambiguous and not standard, making this option misleading for assessing best-case performance.

Summary: The best-case scenario occurs when the target key is found immediately at the initial probe position, yielding constant time O(1). The other options describe scenarios where more work is required, which do not apply to the best case. Regardless of the wording, the optimal path in linear probing aims for a single-step deletion when possible.

What is the best case time complexity of deleting a key from a linear probe table?单项选择题

类似问题

Open Addressing One of the advantages of chained hash table over the open addressing scheme is ______

Open Addressing One of the advantages of chained hash table over the open addressing scheme is ______

What is the worst-case complexity of get in separate chaining? (Make no assumption about the load factor or how good the hash function is.)

What is the worst-case complexity of insert in separate chaining? (Make no assumption about the load factor or how good the hash function is.)

In a separate chaining hashtable, what is the impact of increasing the load factor above 1?

Consider the hash table of size 11 that uses linear probing shown below, where the hash function is h(k) = (k mod 11). Thus h(14)=3, h(25)=3. What indices are examined if we now perform get(4)?

Consider an implementation of a hash table with linear probing where the hash function runs in constant time and the cost of comparison is also constant. What is the best-case time complexity of the getitem method? Consider n is the number of items in the hash table.

Which is TRUE?

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What is the best case time complexity of deleting a key from a linear probe table?单项选择题

类似问题

Open Addressing One of the advantages of chained hash table over the open addressing scheme is ______

Open Addressing One of the advantages of chained hash table over the open addressing scheme is ______

What is the worst-case complexity of get in separate chaining? (Make no assumption about the load factor or how good the hash function is.)

What is the worst-case complexity of insert in separate chaining? (Make no assumption about the load factor or how good the hash function is.)

In a separate chaining hashtable, what is the impact of increasing the load factor above 1?

Consider the hash table of size 11 that uses linear probing shown below, where the hash function is h(k) = (k mod 11). Thus h(14)=3, h(25)=3. What indices are examined if we now perform get(4)?

Consider an implementation of a hash table with linear probing where the hash function runs in constant time and the cost of comparison is also constant. What is the best-case time complexity of the __getitem__ method? Consider n is the number of items in the hash table.

Which is TRUE?

更多留学生实用工具

希望你的学习变得更简单

Consider an implementation of a hash table with linear probing where the hash function runs in constant time and the cost of comparison is also constant. What is the best-case time complexity of the getitem method? Consider n is the number of items in the hash table.