Suppose we have the following program that computes the quotient and remainder when dividing a by b: r = a q = 0 while r >= b: r = r - b += 1 and • precondition: (a > 0) A (b > 0) • postcondition: (a...

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Suppose we have the following program that computes the quotient<br>and remainder when dividing a by b:<br>r = a<br>q = 0<br>while r >= b:<br>r = r - b<br>+= 1<br>and<br>• precondition: (a > 0) A (b > 0)<br>• postcondition: (a = bq + r) A (0 < r < b)<br>Prove that this program is correct.<br>

Extracted text: Suppose we have the following program that computes the quotient and remainder when dividing a by b: r = a q = 0 while r >= b: r = r - b += 1 and • precondition: (a > 0) A (b > 0) • postcondition: (a = bq + r) A (0 < r="">< b)="" prove="" that="" this="" program="" is="">

Jun 03, 2022
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