binary exponentiation

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binary exponentiation binary exponentiation algorithms and data structures course binary exponentiation need to compute . simple multiplying is o(n). we want to calculate faster. algorithms and data structures course binary exponentiation let’s define recursive function power(a, n): power(a, n) = algorithms and data structures course binary exponentiation example need to perform 7 operation instead of 38. algorithms and data structures course binary exponentiation complexity: on each step we or dividing by 2, or decreasing by 1. number of decreases is not greater than divides, because after each decreasing becomes even. so because of dividing final complexity is algorithms and data structures course binary exponentiation other algorithm let’s calculate let’s take binary representation of n and if i-th bit of n is 1, then multiply answer by example: n = 3810 = n = = need to perform 5 operations for calculating , and 3 operation for multiplying and . total …
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binary exponentiation binary exponentiation algorithms and data structures course binary exponentiation need to compute . simple multiplying is o(n). we want to calculate faster. algorithms and data structures course binary exponentiation let’s define recursive function power(a, n): power(a, n) = algorithms and data structures course binary exponentiation example need to perform 7 operation instead of 38. algorithms and data structures course binary exponentiation complexity: on each step we or dividing by 2, or decreasing by 1. number of decreases is not greater than divides, because after each decreasing becomes even. so because of dividing final complexity is algorithms and data structures course binary exponentiation other algorithm let’s calculate let’s take binary representation of n...

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