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Problem 4: Let A be an integer array of length n. The following algorithm is given: foo(A) n← A.length x ← A[1] for 2 to n do if A[i] > x then X = A[i] return x (i) What does foo(A) return? (ii) Write a loop invariant for foo(A). (iii) Using a loop invariant, prove that foo(A) is correct.

Problem 4: Let A be an integer array of length n. The following algorithm is given: foo(A) n← A.length x ← A[1] for 2 to n do if A[i] > x then X = A[i] return x (i) What does foo(A) return? (ii) Write a loop invariant for foo(A). (iii) Using a loop invariant, prove that foo(A) is correct.

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File Home Convert Edit Organize Comment View m Th Hand Select SnapShot Clipboard Bookmark Zoom Page Fit Reflow Rotate Option View Start B O >>> 0 di << <2/3 15°C Heavy rain dn1-EN (3).pdf X foo(A) L Form Protect return x Foxit eSign ΤΙ D Edit Edit Typewriter Highlight Rotate Insert From Text Object Pages n← A.length x ← A[1] for i 2 to n do if A[i]> x then X = A[i] dn1-EN (3).pdf - Foxit PDF Editor Accessibility Help Share Problem 4: Let A be an integer array of length n. The following algorithm is given: Q Search O Tell me... (i) What does foo(A) return? (ii) Write a loop invariant for foo(A). (iii) Using a loop invariant, prove that foo(A) is correct. Quick Fill & Scanner Recognition Sign H m| ENG EQ▾ Q Find + 200% 0 X 4x D 3:33 AM 11/5/2023
Transcribed Image Text:File Home Convert Edit Organize Comment View m Th Hand Select SnapShot Clipboard Bookmark Zoom Page Fit Reflow Rotate Option View Start B O >>> 0 di << <2/3 15°C Heavy rain dn1-EN (3).pdf X foo(A) L Form Protect return x Foxit eSign ΤΙ D Edit Edit Typewriter Highlight Rotate Insert From Text Object Pages n← A.length x ← A[1] for i 2 to n do if A[i]> x then X = A[i] dn1-EN (3).pdf - Foxit PDF Editor Accessibility Help Share Problem 4: Let A be an integer array of length n. The following algorithm is given: Q Search O Tell me... (i) What does foo(A) return? (ii) Write a loop invariant for foo(A). (iii) Using a loop invariant, prove that foo(A) is correct. Quick Fill & Scanner Recognition Sign H m| ENG EQ▾ Q Find + 200% 0 X 4x D 3:33 AM 11/5/2023
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for iii) prove by induction use base case, inductive step  and proof of correctness.

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