) In sage, reducing an integer a modulo m is achieved with the expression a % m. The following sage code implements the fast power algorithm, but a few blanks are missing Fill in the blanks. def fast_power (a, k, m) : """for non-negative integers k, computes a^k modulo m""" if (k 0): == return if ((k % 2) == 1): # k is odd # recursively compute y = a^{k-1} (mod m) y = fast_power (a, k-1, m) return % m else: # k is even # recursively compute y y = fast_power(a, k/2, m) a^{k/2} (mod m) return % m

) In sage, reducing an integer a modulo m is achieved with the expression a % m. The following sage code implements the fast power algorithm, but a few blanks are missing Fill in the blanks. def fast_power (a, k, m) : """for non-negative integers k, computes a^k modulo m""" if (k 0): == return if ((k % 2) == 1): # k is odd # recursively compute y = a^{k-1} (mod m) y = fast_power (a, k-1, m) return % m else: # k is even # recursively compute y y = fast_power(a, k/2, m) a^{k/2} (mod m) return % m

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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