Design an algorithm which uses queries O(log(n +m)) times to find the location of the rod, i.e., the leftmost coordinates and rightmost coordinates. Hint: consider using binary search in your algorithm.

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You are given a grid of size n ×m and within that grid there is a horizontal rod (arbitrary width
but height of 1). You aim is to locate it. The only thing you can use to find the location of the rod is make
queries of the form IsPresent (x1, y1, x2, y2) where x1 ≤x2, y1 ≤y2. This returns True if part of the rod is
present in the grid from (x1, y1) to (x2, y2) and False if not. See figures below. Design an algorithm which
uses queries O(log(n +m)) times to find the location of the rod, i.e., the leftmost coordinates and rightmost
coordinates. Hint: consider using binary search in your algorithm. 

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