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What is the time complexity of accessing an element by index in an array?
- a)O(1)
- b)O(log n)
- c)O(n)
- d)O(n2)
Correct answer is option 'A'. Can you explain this answer?
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What is the time complexity of accessing an element by index in an arr...
Time Complexity of Accessing an Element by Index in an Array
Accessing an element by index in an array has a time complexity of O(1), which means it takes constant time to retrieve an element regardless of the size of the array.
Therefore, the time complexity of accessing an element by index in an array is O(1), making it a very efficient operation for retrieving elements from an array.
Accessing an element by index in an array has a time complexity of O(1), which means it takes constant time to retrieve an element regardless of the size of the array.
- Explanation: When you access an element in an array by its index, the computer can calculate the memory address of that element directly using a simple formula (base address + index * size of element). This calculation does not depend on the size of the array or the position of the element within the array.
- Constant Time Complexity: As the calculation to access an element by index can be done in a fixed number of operations, it has a time complexity of O(1), indicating that the time taken to access any element does not grow as the array size increases.
- Example: If you have an array of size n and you want to access an element at index i, the time it takes to access that element will always be the same, regardless of the value of n or i.
Therefore, the time complexity of accessing an element by index in an array is O(1), making it a very efficient operation for retrieving elements from an array.
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What is the time complexity of accessing an element by index in an arr...
Accessing an element by index in an array has a time complexity of O(1) since it directly accesses the memory location based on the index.
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