Write the following method that merges two sorted listsinto a new sorted list:public static int[] merge(int[] list1, int[] list2)Implement the method in a way that takes at most list1.length + list2.length comparisons. See liveexample.pearsoncmg.com/dsanimation/MergeSortNeweBook.html for an animation of the implementation. Write a testprogram that prompts the user to enter two sorted lists and displays the mergedlist. Here is a sample run. Note the first number in the input indicates the numberof the elements in the list. This number is not part of the list.     Enter list1 size and contents: 5 1 5 16 61 111↵EnterEnter list2 size and contents: 4 2 4 5 6↵Enterlist1 is 1 5 16 61 111list2 is 2 4 5 6The merged list is 1 2 4 5 5 6 16 61 111

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