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PFDS EX. 3.9
                      @shtaag




2011   12   17
BASED ON HINZE’S WORK




                           http://t.co/P3SiwhRE


2011   12   17
FROMORDLIST



   •             list   RedBlackTree




2011   12   17
Z
                                         Y

                       Y
                                     X       Z
                 X
                 Key
                               ...

2011   12   17
2




2011   12   17
PENNANT



                                              rank = 2

                 •                    Node
                 • rank r   pennant      2r   Node


2011   12   17
EXPRESSION WITH
                    PENNANTS




2011   12   17
EXPRESSION WITH
                    PENNANTS




                 ※ 0,1   1,2

2011   12   17
EXPRESSION WITH
                    PENNANTS




                             =
                            (22)2
                             =
                       (21 x 2, 20 x 2)2


2011   12   17
(21 {N})




                   (23 x 2, 22 x 1, 21 x 1, 20 x 1)


2011   12   17
2011   12   17
s1 + 1 = s2, s2 + 1 = (s + 1)1



2011   12   17
2011   12   17

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