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5. Prove the correctness of the division algorithm. Require: a is a nonnegative integer, d is a positive integer, r=a,q=0 1: while rd do 2:

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5. Prove the correctness of the division algorithm. Require: a is a nonnegative integer, d is a positive integer, r=a,q=0 1: while rd do 2: rrd 3:qq+1 4: end while Ensure: q and r are nonnegative integers such that a=qd+r and 0r

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