Question: For below question, please write your answer in a report. Do not just write the final result. You must show a step-by-step procedure to obtain

For below question, please write your answer in a report. Do not just write the final result. You must show a step-by-step procedure to obtain your final result.

Part A: Calculate by hand the following modular exponentiations.

23315 mod 1971

2756 mod 29

Part B: Calculate by hand, using the Euclidean algorithm:

GCD(108809, 291452).

Part C: Given X = 401 and Y = 487, use the Extended Euclidean algorithm to calculate integers

AandBsuchthatA?X+B?Y =1.

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