Recently i found a problem about geometric, that ask for how many pair of points of the set of points, are good pair, and a good pair is a pair **(a,b)** of points where the max distance between both points to any other **c** point it is greater or equals at the distance between the firsts two points ( **a** and **b**).↵
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_as a formula:_ `distance(a,b)<=max(distance(a,c),distance(b,c))`↵
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Can be at most **2000** points.↵
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Is ease see, that can be solve for some `O(n^2)` whit some factor `logn` for search a point that invalidate a pair of points, but right now i don't see how search this point. If some one can help me, thank in advance???↵
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**UPD:**↵
here is the problem: [link](http://coj.uci.cu/24h/problem.xhtml?pid=3311)
↵
_as a formula:_ `distance(a,b)<=max(distance(a,c),distance(b,c))`↵
↵
Can be at most **2000** points.↵
↵
Is ease see, that can be solve for some `O(n^2)` whit some factor `logn` for search a point that invalidate a pair of points, but right now i don't see how search this point. If some one can help me, thank in advance???↵
↵
**UPD:**↵
here is the problem: [link](http://coj.uci.cu/24h/problem.xhtml?pid=3311)