a. Write the following Java Method (your code should probably be under twenty lines): Public static int firstnonsmallerindex (int[] array, int value) The method takes in an array in sorted orader and a value, and returns the smallest possible index of an element that is equal to or larger than the given value (or -1 if the value is larger than the max). Your method must run in O(logN) time provided the list has few duplicates. Assuming array = {1,2,3,3,3,4,5,5,14,17}, here are some example calls:

Method call Return value

Firstnonsmallerindex(array,3) 2

Firstnonsmallerindex(array,4) 5

Firstnonsmallerindex(array,-1) 0

Firstnonsmallerindex(array,23) -1

Firstnonsmallerindex(array,15) 9