array rotation algorithm
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## Array Rotation: A Deep Dive with Explanations and Code Examples
Array rotation is a fundamental operation in computer science, frequently encountered in various algorithms and data structures. It involves shifting the elements of an array to the left or right by a specified number of positions. This tutorial will provide a comprehensive understanding of array rotation, covering different approaches, their time and space complexities, and practical code examples in Python.
**Understanding Array Rotation**
Imagine you have an array `[1, 2, 3, 4, 5]` and you want to rotate it to the right by 2 positions. The result would be `[4, 5, 1, 2, 3]`. Similarly, rotating it to the left by 2 positions would yield `[3, 4, 5, 1, 2]`.
Formally, array rotation by *k* positions means:
* **Right Rotation:** Each element at index *i* moves to index *(i + k) % n*, where *n* is the length of the array. The `%` (modulo) operator ensures that the indices wrap around to the beginning of the array.
* **Left Rotation:** Each element at index *i* moves to index *(i - k + n) % n*, where *n* is the length of the array. The `+ n` ensures that the result of `i - k` is always non-negative before applying the modulo operator, handling cases where `i - k` is negative.
**Methods for Array Rotation**
Let's explore various algorithms to achieve array rotation, analyzing their trade-offs in terms of efficiency:
**1. Naive Approach (Using Temporary Array)**
* **Idea:** Create a temporary array of the same size as the original array. Copy elements from the original array to the temporary array at the rotated positions. Finally, copy the elements from the temporary array back to the original array.
* **Algorithm (Right Rotation):**
1. Create a temporary array `temp` of the same size as the input array `arr`.
2. Iterate through the original array `arr` from index `i = 0` to `n-1` (where `n` is the length of `arr`).
3. Calculate the new index `(i + k) % n`.
4. Assign `arr ...
#ArrayRotation
#Algorithm
#Coding
Видео array rotation algorithm канала CodeLift
## Array Rotation: A Deep Dive with Explanations and Code Examples
Array rotation is a fundamental operation in computer science, frequently encountered in various algorithms and data structures. It involves shifting the elements of an array to the left or right by a specified number of positions. This tutorial will provide a comprehensive understanding of array rotation, covering different approaches, their time and space complexities, and practical code examples in Python.
**Understanding Array Rotation**
Imagine you have an array `[1, 2, 3, 4, 5]` and you want to rotate it to the right by 2 positions. The result would be `[4, 5, 1, 2, 3]`. Similarly, rotating it to the left by 2 positions would yield `[3, 4, 5, 1, 2]`.
Formally, array rotation by *k* positions means:
* **Right Rotation:** Each element at index *i* moves to index *(i + k) % n*, where *n* is the length of the array. The `%` (modulo) operator ensures that the indices wrap around to the beginning of the array.
* **Left Rotation:** Each element at index *i* moves to index *(i - k + n) % n*, where *n* is the length of the array. The `+ n` ensures that the result of `i - k` is always non-negative before applying the modulo operator, handling cases where `i - k` is negative.
**Methods for Array Rotation**
Let's explore various algorithms to achieve array rotation, analyzing their trade-offs in terms of efficiency:
**1. Naive Approach (Using Temporary Array)**
* **Idea:** Create a temporary array of the same size as the original array. Copy elements from the original array to the temporary array at the rotated positions. Finally, copy the elements from the temporary array back to the original array.
* **Algorithm (Right Rotation):**
1. Create a temporary array `temp` of the same size as the input array `arr`.
2. Iterate through the original array `arr` from index `i = 0` to `n-1` (where `n` is the length of `arr`).
3. Calculate the new index `(i + k) % n`.
4. Assign `arr ...
#ArrayRotation
#Algorithm
#Coding
Видео array rotation algorithm канала CodeLift
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28 июня 2025 г. 15:03:51
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