The following algorithm returns the position of the largest element in the array S. Write a recurrence equation for the number of comparisons tn needed to find the largest element. Use induction to show that the equation has the solution tn = n − 1. The top-level call is max position (1, n).

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The following algorithm returns the position of the largest element in the array S. Write a recurrence equation for the number of comparisons tn needed to find the largest element. Use induction to show that the equation has the solution tn = n − 1.

The top-level call is

max position (1, n). 

 

index mar-position (index low, index high)
{
index position;
if (low
return low;
else{
position
if (S[low] > S[position])
position
return position;
}
high)
mar-position ( low + 1, high );
low;
}
Transcribed Image Text:index mar-position (index low, index high) { index position; if (low return low; else{ position if (S[low] > S[position]) position return position; } high) mar-position ( low + 1, high ); low; }
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