Please implement the square-and-multiply algorithm for fast modular exponentiation. Requirements: You can choose any language you would like to use from the following: C/C++, C#, Java, and Python. You need to give a detailed comments of your codes then include the code with a written report explaining your implementation. In addition, you need to provide the test case result of your implementation and provide a screenshot of the results in the written report. Square and Multiply Algorithm . Convert the exponent to Binary. • For the first 1, simply list the number • For each ensuing o, do Square operation • For each ensuing 1, do Square and Multiply operations 37 1 1 5 1 0 1 101 in Binary First One lists Number Zero calls for Square One calls for Square + Multiply 100101 in Binary First One lists number Zero calls for Square Zero calls for Square One calls for Square + Multiply Zero calls for Square One calls for Square + Multiply 3 (3) ² ((3) ²)²+3 N (N) ((N) 2) ² (((N) ²) ²)²N ((((N) ²) ²)²N)² ( ( ( ( (N) ²) ²) ²*N) ²) ²*N
Please implement the square-and-multiply algorithm for fast modular exponentiation. Requirements: You can choose any language you would like to use from the following: C/C++, C#, Java, and Python. You need to give a detailed comments of your codes then include the code with a written report explaining your implementation. In addition, you need to provide the test case result of your implementation and provide a screenshot of the results in the written report. Square and Multiply Algorithm . Convert the exponent to Binary. • For the first 1, simply list the number • For each ensuing o, do Square operation • For each ensuing 1, do Square and Multiply operations 37 1 1 5 1 0 1 101 in Binary First One lists Number Zero calls for Square One calls for Square + Multiply 100101 in Binary First One lists number Zero calls for Square Zero calls for Square One calls for Square + Multiply Zero calls for Square One calls for Square + Multiply 3 (3) ² ((3) ²)²+3 N (N) ((N) 2) ² (((N) ²) ²)²N ((((N) ²) ²)²N)² ( ( ( ( (N) ²) ²) ²*N) ²) ²*N
Programming Logic & Design Comprehensive
9th Edition
ISBN:9781337669405
Author:FARRELL
Publisher:FARRELL
Chapter2: Elements Of High-quality Programs
Section: Chapter Questions
Problem 8RQ
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