Question

Differentiate between Quadratic-time and Exponential-time algorithms. Give example of one problem each for these two running times.

18 Feb 2026
Answer :
Word Count : 630
In the study of Design and Analysis of Algorithms, the running time of an algorithm plays a crucial role in determining its efficiency and practicality. Two important categories of time complexity are quadratic-time algorithms and exponential-time algorithms. These two classes differ significantly in terms of growth rate, scalability, and suitability for large input sizes. A quadratic-time algorithm is one whose running time grows proportionally to the square of the input size. It is usually expressed using Big-O notation as O(n²), where n represents the size of the input. This means that if the input size doubles, the running time increases by approximately four times. Quadratic-time __________ _________ _____ ________ ____ _______ _______ ________ ______.
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