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Let 0 < a < b < N < c. If a b 1 (mod N), which of the following is always equivalent to a

Let 0 < a < b < N < c. If ab 1 (mod N), which of the following is always equivalent to ac mod N?

A.

ac mod b mod N

B.

abc mod N mod N

C.

a(b+c) mod N mod N

D.

ab mod c mod N

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