Given an array A of N distinct integers sorted in increasing order, we seek an algorithm to determine if there exist two integers in A that sum to k The algorithm returns TRUE if such a pair exists, and FALSE otherwise Give an exhaustive algorithm and obtain its running time in the worst case Complete method sum exh() in file sum java Give a more efficient recursive algorithm and obtain its running time in the worst case Complete method sum rec() in file sum java Submit only file sum java Use the main program sum main java and input data file sum in to test your program Check file sum out for the correct output

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Question: Given an array A of N distinct integers sorted in increasing order, we seek an algorithm to determine if there exist two integers in A

Given an array A of N distinct integers sorted in increasing order, we seek an algorithm to determine if there exist two integers in A that sum to k. The algorithm returns TRUE if such a pair exists, and FALSE otherwise.

Give an exhaustive algorithm and obtain its running time in the worst case. Complete method sum_exh() in file sum.java.
Give a more efficient recursive algorithm and obtain its running time in the worst case. Complete method sum_rec() in file sum.java.

Submit only file sum.java. Use the main program sum_main.java and input data file sum.in to test your program. Check file sum.out for the correct output

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