Here Is the Code for a Recursive Method for Binary

question 3

Essay

Here is the code for a recursive method for binary search that is searching a sorted array of ints. The array is assumed to be sorted in ascending order.
// we are looking for the value stored in the parameter key
public static int binarySearch ( int [ ] arr, int key, int start,
int end )
{
System.out.println( "Start = " + start + "; end = " + end );
if ( start <= end )
{
int middle = ( start + end ) / 2;
if ( arr[middle] == key ) // found it at index middle
return middle;
else if ( arr[middle] > key ) // look left
return binarySearch( arr, key, start, middle - 1 );
else // look right
return binarySearch( arr, key, middle + 1, end );
}
else // not found
return -1;
}
We are running the following code:
int [ ] numbers = { 4, 6, 8, 10, 11, 12, 14, 16, 18 };
int found = binarySearch( numbers, 10, 0, 8 );
What is the output? Show what the output statement in the binarySearch method outputs. The question is not about the value of found; the value of found is 3.

Understand the basic concepts of aging and its impact on human physiology.

Identify the major diseases and conditions associated with aging.

Recognize the importance of lifestyle choices and their effects on health and longevity.

Understand the role of genetics and environmental factors in aging.

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