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Construct a box corresponding to
the whole -dimensional space
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Construct
the axis parallel box in the -dimensional space defined by
the points left, right.
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| set the left endpoint of the -th dimensional interval of box to be the -th coordinate of left | ||
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| set the right endpoint of the -th dimensional interval of box to be the -th coordinate of right | ||
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| return true if pnt lies inside box. | ||
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| return true if the -th coordinate of pnt lies inside the -th dimensional interval of box. | ||