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Standard
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6:53
MSN
Mr Creative
Fast Multiplication: The Incredible Karatsuba Algorithm Explained
In this video, we delve into the fascinating world of big number multiplication and explore how computers perform this task efficiently. Traditional multiplication has a time complexity of O(n^2), but in 1960, Anatoly Karatsuba revolutionized this by introducing an algorithm with a time complexity of O(n^log3), improving performance ...
4 months ago
Karatsuba Algorithm Explained
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Understanding the Magic of Fast Multiplication: The Karatsuba Algorithm Explained
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SOLVED:The Karatsuba algorithm for multiplying two n -digit numbers, discovered by Anatoly Karatsuba in 1960[28] and published in 1962 [29], was the first development in the theory of multiplication in centuries. Similarly to merge sort, you first break each number into two equal-length halves. For example, you split 2743 into 27 and 43 . Using Karatsuba multiplication recursively, you form three products from those halves, and combine the three products to get the original product. The subdivid
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