Here is what I came with. The 0 _1 is top-left point of the "merged" rectangle,
and 8 5 is bottom-right point.
3 _1 (<./"1@(,.&0)@[ , 2&{.@] >. [ + _2&{.@]) 3 4 5 6
0 _1 8 5
Note that if instead of , you use -~
3 _1 (<./"1@(,.&0)@[ -~ 2&{.@] >. [ + _2&{.@]) 3 4 5 6
8 6
you'll get the size of the rectangle.
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In trying to work more on this problem I have come
up with the following intermediate problem for which I would
like some help...
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