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Fast Exponentiation (also known as Exponentiation by Squaring) is an essential algorithm for efficiently computing powers of numbers. It significantly reduces the time complexity of the classical exponentiation method from O(n) to O(logn). This algorithm is widely used in cryptography, matrix exponentiation, and modular arithmetic, where fast calculations of powers are crucial.

In this video, we explain Fast Exponentiation through clear and detailed animations, followed by an analysis of its time complexity.

Chapters:
0:00 Intro
0:48 Intuition
2:11 The algorithm
2:47 beyond the numbers

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