Write an efficient algorithm for the following problem, and describe your reasoning. Determine the Time complexity and if you cannot find any polynomial time algorithm, then give a backtracking algorithm. Problem: Binary Array Core Input: Two integers p and q and a binary array A[1...n], i.e., each entry contains either a 0 or 1.  Output: Print Yes - if there exists a subarray A[i...k], where 1<= i < k <= n, with exactly p zeros in A[1...i-1] (there may be 1s) and exactly q ones in A[k+1...n] (there may be 0s). Print No - otherwise.   Outputs with examples Input: A = [0,1,1,0,1], p = 2, q =1, Output:  No.    Input: A = [0, 1,1,0, 0,1,0,1], p = 1, q =1, Output:  Yes because we can have A[1...i-1] = [0] and A[k+1 ... n] = [0,1,0,1]

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