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+ # Time: O(n^2)
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+ # Space: O(1)
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+
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+ # sort, array
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+ class Solution (object ):
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+ def numberOfPairs (self , points ):
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+ """
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+ :type points: List[List[int]]
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+ :rtype: int
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+ """
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+ points .sort (key = lambda x : (x [0 ], - x [1 ]))
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+ result = 0
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+ for i in xrange (len (points )):
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+ y = float ("-inf" )
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+ for j in xrange (i + 1 , len (points )):
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+ if points [i ][1 ] < points [j ][1 ]:
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+ continue
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+ if points [j ][1 ] > y :
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+ y = points [j ][1 ]
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+ result += 1
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+ return result
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+
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+
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+ # Time: O(n^3)
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+ # Space: O(1)
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+ # sort, array
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+ class Solution2 (object ):
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+ def numberOfPairs (self , points ):
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+ """
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+ :type points: List[List[int]]
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+ :rtype: int
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+ """
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+ points .sort (key = lambda x : (x [0 ], - x [1 ]))
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+ return sum (all (not points [i ][1 ] >= points [k ][1 ] >= points [j ][1 ] for k in xrange (i + 1 , j ))
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+ for i in xrange (len (points ))
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+ for j in xrange (i + 1 , len (points )) if points [i ][1 ] >= points [j ][1 ])
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+
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