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I was trying to implement data structure over set of rectangles that can perform two types of operations.

  1. Update operation, add new rectangle with sides parallel to x and y axis and positive coordinates to the set.

  2. Query operation, for some rectangle check if there is some rectangle intersecting with this rectangle.

I don't have big knowledge of data structures so I was thinking if you could give me some hints how to start approach this problem.

Thanks in advance.

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    $\begingroup$ This seems to be non-trivial even in the one dimensional case $\endgroup$ – DreamConspiracy Dec 7 '18 at 18:31
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You might want to look into R-trees (described in detail here) or a similar tree data structure for spatial indexing.

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