Big-O notation is a way to describe the time-complexity of an algorithm, representing the "upper bound" of its running time in terms of the "input" size.
It provides a high-level understanding of how the algorithm's performance scales with the size of the input.
In Big-O notation, the letter "O" stands for order of magnitude. The notation is written as O(f(n)), where f(n) is a mathematical function that describes the upper bound on the running time or space complexity in relation to the input size (n).
β Common Big-O Notations:
1. O(1) - Constant Time Complexity: Represents algorithms whose running time is constant, regardless of the input size. For example: Accessing an element in an array by index, basic arithmetic operations.
2. O(log n) - Logarithmic Time Complexity: Common in algorithms that divide the problem into smaller subproblems. For example: Binary search, and certain divide-and-conquer algorithms.
3. O(n) - Linear Time Complexity: The running time grows linearly with the size of the input. For example: Iterating through an array, finding the maximum element in an array.
4. O(n log n) - Linearithmic Time Complexity: Common in efficient sorting algorithms. For example: Merge sort, heap sort, etc.
5. O(n^2), O(n^3), ... Polynomial Time Complexity: The running time is a polynomial function of the input size. For example: Simple nested loops, and some sorting algorithms with poor performance.
6. O(2^n), O(n!) - Exponential and Factorial Time Complexity: Usually indicates inefficient algorithms with rapidly growing running times. For example: Recursive solutions with high redundancy.
"Explain the core principles of responsive web design?"
Here is how you can answer:π§΅
Responsive web design is built on 4 core principles:
1. Fluid layout 2. Responsive units 3. Flexible images 4. Media queries
Let's see one-by-one...
1. Fluid layout
Ensures web pages adapt to the viewport width and height, providing a seamless user experience on different devices.
Instead of using fixed units like pixels (px), use relative units like percentages (%), viewport height (vh), and viewport width (vw). These units adjust elements based on the current viewport size.
Utilize the property like, max-width instead of width to allow elements to resize but not exceed a specified maximum width, ensuring they fit within their container.
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