// Pre: true if (a > c || b > c) if (a > b) else else Prove that the following code fragment satisfies the program specification. max = a; else max = b; max = c; if (a < c || b < c) if (a < b) min = a; else min = b; min = C; mid = a + b + c - max min; // Post: min <= mid <= max = mid || a = max) max) max) // && (a min | a // && (b = min || b mid | b = // && (c) min || c= mid || c = // && (max = a max = b | max // && (mid = a | mid b | mid = // && (min = a min = b | min = c) c) c) = = = = - =

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter6: Modularity Using Functions
Section6.1: Function And Parameter Declarations
Problem 11E
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Prove the following question.

// Pre: true
if (a > c || b > c)
if (a > b)
else
else
Prove that the following code fragment satisfies the program specification.
max = a;
else
max = b;
max = c;
if (a < c || b < c)
if (a < b)
min = a;
else
min = b;
min = C;
mid = a + b + c - max
min;
// Post: min <= mid <= max
=
mid || a =
max)
max)
max)
// && (a min | a
// && (b = min || b mid | b =
// && (c) min || c= mid || c =
// && (max = a max = b | max
// && (mid = a | mid b | mid =
// && (min = a min = b | min =
c)
c)
c)
=
=
=
=
-
=
Transcribed Image Text:// Pre: true if (a > c || b > c) if (a > b) else else Prove that the following code fragment satisfies the program specification. max = a; else max = b; max = c; if (a < c || b < c) if (a < b) min = a; else min = b; min = C; mid = a + b + c - max min; // Post: min <= mid <= max = mid || a = max) max) max) // && (a min | a // && (b = min || b mid | b = // && (c) min || c= mid || c = // && (max = a max = b | max // && (mid = a | mid b | mid = // && (min = a min = b | min = c) c) c) = = = = - =
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ISBN:
9781133187844
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Publisher:
Course Technology Ptr