Question: 1. (a) Use the Euclidean algorithm to find d = god(2022, 1021). (b) Find integers x, y such that 2022x + 1021y = d. (c)

1. (a) Use the Euclidean algorithm to find d = god(2022, 1021). (b) Find integers x, y such that 2022x + 1021y = d. (c) Find the multiplicative inverse of [1021]2022 in Z/2022Z, if it exists. (d) Find all integer solutions n for the congruence 1021n = 3 mod 2022. (e) Is the congruence 627n = 19 mod 2022 solvable

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