Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 3 - Section 3.1 - Algorithms - Exercises - Page 202: 17

Answer

procedure largest($a_1, a_2, ... a_n:$ a set of integers) largest $:=1$ for $i:=2$ to $n$ $\space\space\space$$\space\space\space$if $a_i>a_{largest}$ then largest $:= i$ return largest

Work Step by Step

This algorithm attempts to find the first occurrence of the largest element. Note that we ensure this by having a strict inequality. Any later occurrences of the largest element would not pass the condition and hence we will always return the index of the first occurrence.
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