lec36 - Priority Search Trees Keys are distinct ordered...

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Priority Search Trees Keys are distinct ordered pairs (x i , y i ) . Min tree on y . Search tree (almost) on x . Two varieties. Search tree is a balanced binary search tree such as a red-black tree. Red-black Priority Search Tree (RBPST) Search tree is a radix search tree. Radix Priority Search Tree (RPST)
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Radix Priority Search Tree All x values are different, integral, and in the range [0, k – 1] . Each node of the priority search tree has exactly one element. The y value of the element in node w is <= the y value of all elements in the subtree rooted at w ( y values define a min tree). Root interval is [0,k) . Interval for node w is [a,b) . Left child interval is [a, floor((a+b)/2)) . Right child interval is [floor((a+b)/2, b)) .
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Insert Start with empty RPST. k = 16 . Root interval is [0,16) . Insert (5,8) . Insert (6,9) . (5,8) remains in root, because 8 < 9 . (6,9) inserted in left subtree, because 6 is in the left child interval.
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