explain karatsubas algorithm
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The Karatsuba algorithm is a fast multiplication algorithm. It was discovered by Anatoly Karatsuba in 1960 and published in 1962. It reduces the multiplication of two n-digit numbers to at most {\displaystyle n^{\log _{2}3}\approx n^{1.58}} single-digit multiplications in general.
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The Karatsuba algorithm is a fast multiplication algorithm that uses a divide and conquer approach to multiply two numbers. It was discovered by Anatoly Karatsuba in 1960 and published in 1962. ... Using this algorithm, multiplication of two n-digit numbers is reduced from O(N^2) to O(N^(log 3) that is O(N^1.585).
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