Given an array A of N distinct integers sorted in increasing order, we seek an algorithm to determine if there exists an index i such that A i i The algorithm returns i if such an index i exists, and 1 otherwise Give an exhaustive algorithm and obtain its running time in the worst case Complete method match exh() in file match java Give a divide and conquer algorithm and obtain its running time in the worst case Complete method match dac() in file match java Submit only file match java Use the main program match main java and input data file match in to test your program Check file match 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 exists an index i such

Given an array A of N distinct integers sorted in increasing order, we seek an algorithm to determine if there exists an index i such that A[i] = i. The algorithm returns i if such an index i exists, and -1 otherwise.

Give an exhaustive algorithm and obtain its running time in the worst case. Complete method match_exh() in file match.java.
Give a divide-and-conquer algorithm and obtain its running time in the worst case. Complete method match_dac() in file match.java.

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

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