For the findPeaklndex problem, you are given an input array of integers that follow a particular pattern: it is composed of a sequence of increasing values followed by a sequence of decreasing values (all values in the array are distinct). For example, the input array could be int[] numbers = {1, 3, 5, 7, 9, 11, 8, 6, 4} The "peak" value of this array is 11. The findPeaklndex method is supposed to return the index of the peak value, therefore it should be return 5 for the above example because numbers[5] is the peak value 11. It is possible that the input array is monotonically decreasing or increasing, in which cases the peak indices should be 0 or numbers.length-1, accordingly. Read the test cases in the JUnit tester file for more detailed specification. The implemtation of the findPeaklndex method utilizes a helper method findPeaklndexHelper. Your job is to complete the helper method, and you should NOT modify the findPeaklndex method since its code already given. In general, when implementing a recursive method with a required signature, it is an often a useful technique to consider using a helper method that can take more input parameters or return more information in the return value. Note: You should try to make your solution is as efficient as possible. To achieve this, you need to take advantage of the the increasing-then-decreasing pattern in the input array. You should aim at solving the problem in log(n) steps given an input array of size n.

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Use java Problem Description The following table shows the distance (in km) between two towns. For example, distance between Bangi and Putrajaya is 8.3 km, and it is the shortest distance between two towns. Seremban Beranang Dengkil Nilai 12 12 13 35.4 0 Bangi 0 Bangi Beranang 12 Dengkil 12 Putrajaya 83 Sepang 25 Nilai Seremban 13 0 35.4 43.2 35.1 13.2 23 Sample Input Output 19.6 30.3 21.1 Output The output displays the shortest distance. Sample Input Putrajaya 8.3 43.2 7 e 12.0 12.0 8.3 25.0 13.0 28.0 12.0 e 35.4 43.2 35.1 13.2 23.0 12.0 35.4 e 19.6 30.3 21.1 43.0 8.3 43.2 19.6 0 30.0 34.6 57.6 25.0 35.1 30.3 30.00 33.5 33.6 13.0 13.2 21.1 34.6 33.5 @ 26.8 28.0 23.0 43.0 57.6 33.6 26.8 8 19.6 0 30.0 34.6 57.6 Sepang 25 35.1 30.3 8.3 30.0 0 33.5 33.6 13.2 21.1 34.6 33.5 0 26.8 The above table information can be stored using array with size 7x7 since it involves 7 towns. Write a program to determine the nearest two towns of ANY given size of table. 28 Input The first line of input is a...

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