Created
April 27, 2017 15:21
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a) Left Left Case | |
T1, T2, T3 and T4 are subtrees. | |
z y | |
/ \ / \ | |
y T4 Right Rotate (z) x z | |
/ \ - - - - - - - - -> / \ / \ | |
x T3 T1 T2 T3 T4 | |
/ \ | |
T1 T2 | |
b) Left Right Case | |
z z x | |
/ \ / \ / \ | |
y T4 Left Rotate (y) x T4 Right Rotate(z) y z | |
/ \ - - - - - - - - -> / \ - - - - - - - -> / \ / \ | |
T1 x y T3 T1 T2 T3 T4 | |
/ \ / \ | |
T2 T3 T1 T2 | |
c) Right Right Case | |
z y | |
/ \ / \ | |
T1 y Left Rotate(z) z x | |
/ \ - - - - - - - -> / \ / \ | |
T2 x T1 T2 T3 T4 | |
/ \ | |
T3 T4 | |
d) Right Left Case | |
z z x | |
/ \ / \ / \ | |
T1 y Right Rotate (y) T1 x Left Rotate(z) z y | |
/ \ - - - - - - - - -> / \ - - - - - - - -> / \ / \ | |
x T4 T2 y T1 T2 T3 T4 | |
/ \ / \ | |
T2 T3 T3 T4 |
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