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We define the range 1 query (R1Q) problem as follows. Given a d-dimensional (d≥1) input bit matrix A (consisting of 0's and 1's), preprocess A so that for any given region R of A, efficiently answer queries asking if R contains a 1 or not. We consider both orthogonal and non-orthogonal shapes for R including rectangles, axis-parallel right-triangles, certain types of polygons, axis-parallel right...
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