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RBtree insert-Solution

# RBtree insert-Solution - 18 22 b\b b\b b\b => 8 b\r 3 14...

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Solution: Indentify the nodes as follows: Z -> parent before 2 consecutive red edges is ->18 Y -> middle node between the two red edges ->22 X -> the node after the two red edges->20 18(Z) 20 / \ / \ t0 22(Y) => (a)18 22(c) / \ / \ / \ (X)20 t3 t0 t1 t2 t3 a<b<c / \ t1 t2 8 b/ \r 5 14 r/ \b b/\b 3 12 20 b/\b b/\b r/\r 18 22 b /\ b b /\ b Case 3: Two consecutive red edges. The sibling of the first red edge is red.

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Insert 1: case 2 8 (c)(z) b/ \r 5 14 (b)(y)r/ \b b/ \b 3 12 20 r/\b b/\br/ \r (a)(z)1
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Unformatted text preview: 18 22 b/\b b/\b b/\b => 8 b/ \r 3 14 r/ \r b/ \b 1 5 12 20 b /\ b b /\ b b /\ b b /\ b 18 22 b /\ b b /\ b Insert 19(case 3) 8 b/ \r 5 14 r/ \r b/ \b 1 5 12 20 b /\ b b /\ b b /\ b r / \ r 18 22 b /\ r b /\ b 19 b /\ b Solution: Do recoloring 1. Recolor first sibling black and also the other sibling black recolor parent edge to red This maintains the black height and breaks the double red continue fixing upwards until reaching the root....
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