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升级   61.05% TA的每日心情 | 慵懒 2015-5-5 10:06 |
|---|
签到天数: 12 天 [LV.3]偶尔看看II
- 自我介绍
- 我就是我
 |
#!/usr/bin/env python
8 q8 B( f8 f s& ]6 J, i0 ]# -*- coding : utf-8 -*-
( l9 q% ^3 U$ U: }$ `1 E
w1 y. Q. _4 P# s9 X# s8 ?- mimport os
. i& v0 V% S3 u* Qimport random4 ` t9 k* z# O9 S" }4 h; n
6 L; o* n( F- sRED = 0$ z' ~. n" Q7 y% B, N
BLACK = 1
/ U7 Y1 a3 E. E2 ~1 G7 H! g: q9 O7 K% s- K6 ~5 \ _
class Vector(object):
/ U/ M3 V; \4 M; E& M0 J def __init__(self,x=None,y=None):
% M) `* i9 Q( w: _: @ self.x=x
% `2 q+ N s) c0 A' [ self.y=y
8 n' h' O$ \# Q I6 P' h7 y6 B% W) |+ s& r8 `
class Node(object):
" W! L8 |( ?. U& j. K4 A """docstring for Node"""2 I# r+ N( u# O1 N# c+ p, M! W+ |
def __init__(self,data=None,color=RED,left=None,right=None,parent=None):! \ q6 b% z% |' P, E
self.data = data
& G1 M& c3 t7 ? self.color = color5 X( L a, |2 ?7 z; m7 D
self.left = left- _7 d' Q8 T( T! |+ `4 G2 u) k
self.right = right$ z! }) x7 f" Z/ m, ~
self.parent = parent
$ a* ]1 c9 z' u5 C/ q
. ^4 \. z& r7 iclass RBtree(object):
" K/ L7 h7 b" c2 Y def __init__(self):
% d+ Y$ b" I$ B: ^4 _3 ^7 N self.root=None
. C+ X) I0 x8 U: c% E8 l self.size=0& f/ s. O6 B3 t( W" g% Y
3 N+ x+ }, G y def rb_rotate_left(self,node):
9 S2 K8 d" d! V9 t/ p right=node.right
, J' E- N1 c" H1 o8 r9 ~7 A, l
/ ~4 f6 j6 O& w5 @- t8 F node.right=right.left N5 R. A% g6 O' J4 {
if node.right is not None:# ~( _% g5 O+ i1 @0 T! g( ]
right.left.parent=node
! E, ?( ^& p* |2 O: H+ t" S( q/ o5 O1 j
right.left=node0 R6 D' {. [- G2 \
right.parent=node.parent
: @$ A( ?- Q3 x1 s4 _) G( W
& i/ S1 N7 Y* q* X0 v4 B7 F7 U if right.parent is None:
$ z' Z/ B' s: |2 K$ w9 ~
! T. V3 s& H3 J' ~& n self.root=right: @) B0 P' J# E; C" W, {
else:# l' W+ b. f1 P* G
if node==node.parent.right:5 F9 b8 x' ~3 c8 |
node.parent.right=right
" z" ^1 S5 g: i4 D! Z+ `8 k else:
; b+ w n) F8 u, x node.parent.left=right
8 G8 Q6 b3 S; X8 S8 I& R# l. B node.parent =right5 j# D7 v ~5 b, }6 X1 J
; s2 t8 Y: w$ m- p2 K( m! M
- p" x7 J. L# a
def rb_rotate_right(self,node):
y# P' X4 e# H, t left=node.left5 B6 u% J9 I' }/ m$ \# n
node.left=left.right
; m K' O+ u) |+ V1 T3 n6 Y
7 H0 D w6 ]/ b+ z+ v8 x6 t if node.left is not None:3 I, F. L' T6 }$ h+ i8 K
left.right.parent=node
( A. D/ H2 W7 M. p
7 E2 |- u l. S left.right=node
8 }& `& y; s( M' G9 G* l# {2 _ left.parent=node.parent
: m; G: |" d' _7 p3 r
( W. S n5 @1 |' W' ^' R if left.parent is None:
; C4 Q. C f; w; p5 z" J C self.root=left7 r, C$ K# H- n8 v* E
else:) P$ l+ \4 E x
if node==node.parent.right:2 Z. B9 I$ b4 Y2 L. J
node.parent.right=left
/ s) q# A/ ^! d, G! r `* H0 A: }" A. P else:
: a" j0 W8 P6 D+ k* S, I% Z, H+ H( \ node.parent.left=left
9 x( e+ ]4 T! A6 [* A* g node.parent=left
0 s$ N% c* `- d. P+ ?. O( }# c! Z& ?+ X) p ^+ G6 k3 Y6 ]5 K
def rb_insert_rebalance(self,node):
0 D4 e; V5 e9 V z; C; o8 h parent=node.parent& M* h0 W' X) {* c' q: N
while parent and parent.color==RED:
& {* Y, G; A+ c- }) D gparent = parent.parent+ Z- ]. N+ h& W0 r
if parent==gparent.left:
4 H( m. t, g& q6 M uncle=gparent.right) d; n0 N ~9 p- l
if uncle and uncle.color==RED:5 @ g6 C" N n6 T( t/ M/ J) K9 R
uncle.color=BLACK
! e6 \+ \! m3 ~$ g6 R* X" j parent.color=BLACK
0 E7 _" ^+ q( |9 q# o" b gparent.color=RED
: v5 u" F/ f" O6 v8 g* ]( c& r, l node=gparent
4 q6 j. |5 j3 T6 t" b1 I: {8 S else:
0 o$ @9 v# d2 d3 o v- c) @ if parent.right==node:
3 i# q5 a6 {! p# `. |4 C self.rb_rotate_left(parent)
8 _* L5 `* H$ w$ ]" N$ [6 o tmp=parent
3 j0 P# f$ t% m4 _ parent=node
5 e- D# i- d" M1 K node=tmp p( p! i! t# s) {
parent.color=BLACK t; v* e, j5 w; y
gparent.color=RED
6 w( x7 p5 u8 y+ J/ o2 ?- f
0 S8 T# E0 K; X self.rb_rotate_right(gparent)" u3 z. n+ X5 Z4 I' b- F0 ]& W
) q0 d. n/ H6 c( N3 p( h2 f
if uncle:9 g6 X8 w: X& G$ h$ a# g
if uncle.right:
6 e- Z) i& }$ {) K, s- z! Y. s node=uncle.right
! v0 i- W1 Y, B) y& Q else:1 }7 P4 ^% A* h: x7 p4 @3 e
uncle=gparent.left1 T) P' _( r3 ~
if uncle and uncle.color==RED:) S5 Y6 w: O/ c* A9 B% P
uncle.color=BLACK
0 f; Y! t% f3 w( x parent.color=BLACK
3 U! [0 q, W0 f$ b9 L$ i% O gparent.color=RED
: z7 L- S& U9 \2 S& D3 F* s node=gparent& j4 |0 J1 R) k5 m! X3 {+ N
else:7 k& c7 I$ d1 |( }% J
if parent.left==node: A- \. l3 a6 W
self.rb_rotate_right(parent)
+ \: L5 x+ r) X+ E: ~+ ~ tmp=parent8 g' X8 p3 f, {. ^
parent=node
) t1 Z( A0 A2 f! C- h [ node=tmp
# }$ y' D. }( }5 c parent.color=BLACK6 `4 W1 _- m+ R G! v- Q& o9 d
gparent.color=RED
7 m5 s7 r) y( Q i# T self.rb_rotate_left(gparent)
4 V0 |5 n) p' k0 P6 m8 n- R7 C# \6 D8 _0 q8 \1 A& y% A
if uncle:/ Z4 C+ D6 ^" |0 r
if uncle.left:
+ N. O$ e0 }$ t, t: o node=uncle.left5 r9 D1 J p* p5 P" `# k$ p" U
parent=node.parent
/ T6 s) T1 G1 d/ p/ G# S" B
# n: n) ]& D' M/ Y# Z+ J9 y$ Y- h* x
self.root.color=BLACK, p3 o$ \# R+ w M ?! J7 K- d
# ]0 k- q7 S& Y0 H
, t6 }9 g/ n# w/ l- K" I0 l/ Y, u9 L" W def rb_search_auxiliary(self,node):3 i1 [1 U. c$ I1 \" T
tmp=self.root
9 o$ H, M! x' }& K( l parent=None$ q& r3 h* F! g6 ~9 }/ B
while tmp is not None:
; e0 [0 T5 N0 x) d. d parent=tmp* `/ D6 z7 z; Q" y( n
cmp=self.cmp(node,tmp): @( O, @! n7 Z8 I' z
if cmp<0:6 d, L# Z7 \/ q0 k3 |0 h) O
tmp=tmp.left3 M: d$ K0 t+ j; r
else:7 k9 m$ p A, V" I% {& T. W
if cmp>0:
' y$ h' \% {& Y; |: @; F/ _6 C tmp=tmp.right
( b+ e* I# a2 N1 E. { else:
; e# m0 ^9 Q: ~5 c) e return tmp,parent& H l0 d9 o0 B$ t+ u! y( g6 e
8 X9 F( F9 {9 g) z* |! e& i, O return None,parent
3 g2 {: p- t( _' i4 Q9 G. S: D
1 a: K v. p% d( g7 b def rb_insert(self,data):
. I1 j; I: f: i7 `) s( S tmp=None
2 e2 i/ |: s2 W. } node=Node(data)
' D9 {6 C4 M8 q! ?8 M9 n tmp,parent=self.rb_search_auxiliary(node)! J( \1 O8 e1 S; M
i; q" l& z/ S. w# N3 a if tmp is not None:
- X, x% i# m/ S& m( V return
: P- ?$ j o$ G+ \8 A6 `5 A$ E9 N1 Y$ `
node.parent =parent
9 @# h3 v) K5 D node.left=node.right=None$ g3 H0 g5 V; t) c) |% j
node.color=RED) K4 ~8 ?) @; T, ^
6 R! A) w3 ~: Y8 ?8 g- `: C: G
if parent is not None:9 _' s! B' W0 J1 X
3 F7 e7 z7 e4 C6 K, w" }
if self.cmp(parent,node)>0:
! c. t2 f7 Y# K$ C0 l; [7 s parent.left=node! S/ y0 p q( g) i
else:
3 @: Z2 X1 V- b: U { parent.right=node
?6 d$ q2 |' e | else:0 G8 C# i1 \ |' o" r6 m# i1 x
self.root=node K' h/ ?% R ]1 H+ R V
return self.rb_insert_rebalance(node)
7 M6 s% Q- U% H p5 }
/ \0 E% ], _$ I) Y; @, R6 P4 [3 v def rb_erase_rebalance(self,node,parent):% [/ o6 L4 A# {
while((node is None or node.color==BLACK)and node !=self.root):
" o0 H ?% x$ m- c0 \. X if parent.left==node:
3 O! }( e2 p# o6 D. G other=parent.right5 d4 W5 J$ m. ]- a5 y0 j
if other.color==RED:6 n; K# P& k$ u) ?2 C
other.color=BALCK
# o2 d) U. N) F6 A2 q# A parent.color=RED" E/ J5 w6 Z: z4 r- p$ r- v7 D+ ~
self.rb_rotate_left(parent)
9 `& J! ^$ e- u& W& ^ other=parent.right
6 ~6 M* J) z, ]+ A8 A; t7 @( Q if (other.left is None or other.left.color==BLACK) and (other.right is None or other.right.color ==BLACK):0 r. k# ]$ ]0 H
other.color=RED
- {* f' O* s8 o, x; u( K9 S- _ node=parent4 D4 T/ q- w6 w. o9 U" K, \
parent=node.parent
7 x- {* W. v4 Y( m else:/ b: i; V3 Z, @. t: K
if other.right is None or other.right.color==BLACK:
% s. A. {" u. v8 b4 ^! |! y( s. S R7 l6 J$ |2 X
if other.left is not None:
4 e. C; J5 {+ }& Y2 o5 T( w! ^$ i other.left.color=BLACK
; x1 T8 D% h) _0 a other.color=RED
/ e! g# e/ n/ {8 E- d6 [4 {" S+ v self.rb_rotate_right(other), Q* O$ w' V) B
other=parent.right& N: `" M. f8 x* @: O" m% ^# q: [
+ f6 F% m2 S9 [$ h% p1 T
other.color=parent.color
) v# ?7 G0 g8 E1 o parent.color=BLACK+ P) l$ e0 h; _" _9 K* o; W8 e9 f" u
if other.right is not None:9 C& f+ m# G" S& {. y* @- ]. ^& k
other.right.color=BLACK& i9 p4 f6 B0 \$ E F' X% \
self.rb_rotate_left(parent)4 c: x. t; L: k$ I' H
node=self.root
# l. n/ R- p. `$ s' ?3 y. D, O break
( _% F2 o4 O, W) S6 J8 f& T else:
& R" p! }9 W) t3 p$ h other=parent.left
0 ]- s8 J) ?5 E+ J. ~. N if other.color==RED:5 }, U4 k& a, m1 j0 u0 r5 H
other.color=BLACK4 D( T1 ~0 @+ s5 z2 M
parent.color=RED
% _+ J2 y6 ?4 E5 E$ s* K self.rb_rotate_right(parent)# t' Z I1 v! r2 ^
other=parent.left; l' d& x# _# s! N4 u) U( s2 J
if (other.left is None or other.left.color==BLACK) and (other.right is None or other.right.color==BLACK):
5 d5 z$ s# W% I3 |7 s other.color=RED
2 Y8 y: X/ p$ J9 R i- i) Y node=parent( S& O4 S0 g! M# x' u/ D" T
parent=node.parent
- a2 z7 y4 U% @9 I2 e' i8 ]3 b else:( B7 P) t" e8 Q8 N( y
if other.left is None or other.left.color==BLACK:
: r9 ?! ~ L$ W3 W3 p$ _, ], f if other.right is not None:5 Z0 F& p6 [+ v9 w3 N3 x
other.right.color=BLACK" X4 ^. e& N" f
% \( m$ i8 T7 G+ _- S# E other.color=RED
$ m$ U. l+ G1 n) W7 z self.rb_rotate_left(other)
8 g, y; @' H. M+ ^4 q q i5 l other=parent.left
: p1 [+ w4 [2 L& H7 F T1 _. D! ]3 j$ e5 ~* I7 s# A7 |. t
other.color=parent.color
) I% Z4 n) L2 D8 b* N5 d) @. M$ Z parent.color=BLACK
6 z5 f0 U* ?/ V' b7 _5 S8 d4 e) c8 N0 R. N# Z; y* Y
if other.left is not None:% T1 M* L3 G& i: m+ S
other.left.color=BLACK
. z8 H4 _! o/ M
1 M- g Y6 q; o" K self.rb_rotate_right(parent)6 Q- s/ g. f7 i
node=self.root, q, D' T, F+ ^5 s: S3 a) B
break9 l% a* ~. u m6 e- ~
, k3 J( t+ w0 V4 X& N& |8 Q. D2 r) M* L
; K' h9 t, w8 L; [/ K0 } if node is not None:% [" n' w- f) b5 t* ~
node.color=BLACK
( S- z9 j, W# J3 | ` K0 G# i* y$ h' @& ?. Q5 O# |, I
def rb_erase(self,data):5 y5 {! i( |. ^4 O/ E( ]9 Z
tmp_node=Node(data)
t( c+ G5 [8 z. B9 x3 m node,parent = self.rb_search_auxiliary(tmp_node)" y7 B1 n9 Y) a7 G+ L3 X
if node is None:
4 _+ v0 X$ M |0 S/ H: G print "data is not exist."
+ j$ b5 o9 d! \ return! w& K6 `6 c" {; Z/ F7 Z
3 x0 [. p n1 Q$ n$ F1 c old =node6 Q# r6 k+ t9 C/ q
if node.left and node.right:5 Z; i& r' M5 x: s( n" J( ~
node=node.right
) x" u p% M5 N1 i9 N e' {
+ v9 |( J f S. I6 v' l1 y left=node.left
2 Z x/ A9 |/ Q* h2 m; i& q while left is not None:% _5 k& w5 h2 C. V, f+ V1 O5 V
node =left
2 h% a) P+ p% R( w v left=node.left
7 s$ G- p+ o9 I4 v9 \1 ^) r; f# Y. i8 U' m S
child=node.right: N+ T" {* g# l. q% U2 U+ ~
parent=node.parent: U# R6 h2 Y, e: }
color=node.color
. b5 c) |7 H: b+ A% p+ R4 z7 C$ D2 M. I) p9 v- Q
if child:3 j8 o9 N) x+ i' g/ ~, d! o
child.parent=parent
6 b& z- `* F( K6 E if parent:) O) I7 w4 K. Q( m( ?0 f
if parent.left==node:$ h4 {+ a( r3 H0 P0 l
parent.left=child
, h! d. ?9 R2 ~$ W+ Z3 e, C( D% L else:
6 H- y/ S; I2 j9 b parent.right=child
: h; P3 s! `+ g3 R* M( q# D
. G C0 h, H! M$ k3 P: U else:
4 E9 `. M! c& l0 F self.root=child2 F) S! T' Y) ?/ Q% S: t t
6 f% y' g/ P0 j! ^% a: F# B: Q
if node.parent==old:, `7 U' ]) e2 ~3 ]+ R$ @
parent=node/ E" f( Y$ [, N: D( _
node.parent=old.parent
$ ~% Q* G( }1 p! e$ z0 W% F node.color=old.color
/ w* S& M" h& w2 [ a" M node.right=old.right
6 G& A8 b3 R" E- |* o# o2 Q node.left=old.left
. \! D% }9 b9 A& X; k' Y: m9 A/ }; q
% k" C+ A8 x; Q n! ?8 [3 T if old.parent:( O4 P3 X) g% E$ J
if old.parent.left==old:
_) Y0 D; y# c; y* x: k old.parent.left=node
: ^4 Z& r: b0 T a* `% t else:
/ u; N4 G# y4 d2 D old.parent.right=node% b+ @0 \' @* ?2 O: ^! ^9 H, O
else:
4 l* X' ~2 K; S" n; G# {0 Z self.root=node
3 Z( a* n3 G& F- q
* i8 S9 \! N: `4 _ old.left.parent=node+ t: ~. x+ C- C4 D' @
if old.right:
" j+ |8 u- v; n* d6 t/ M$ d; ^ old.right.parent=node
' U0 ]% v( j7 \& a- b) f, z8 i
& X+ |- q3 x! E! [1 k! f else:4 w6 u* G$ G# f+ W6 Q$ z/ ~
if node.left is None:
0 N8 O9 w) Z# H7 r! X child =node.right
$ L6 V7 f/ D4 z: K5 k! p else:) S0 \9 J2 z! V5 N( K0 g8 e
if node.left is not None:) @( N4 h% r W9 ~# D
child=node.left
/ P' ]% @, i; c+ f+ ] else:- n6 q; E# X3 n7 A0 G1 ^- s
child=None$ S; T: P' R- v) N- u
parent=node.parent
- y" G E8 }) ]. C( B color=node.color
* @1 F# M/ r, g$ V/ G5 R if child:- k2 G/ T! ?0 |1 k
child.parent=parent; r5 j& X- u& i7 x+ L) b
if parent:1 t5 A+ ^; a3 Z6 p* q
if parent.left==node:
! C2 Q0 \8 C* s3 y1 ? parent.left=child
* ~7 d9 p( [, R% D else:) [$ f3 A6 e7 Y; |# M1 V- f
parent.right=child' V2 C9 Z* J* b* W# ~* b9 X
else:
& T4 {+ |- k$ L! D self.root=child
6 ^" V6 h, r3 t; ^6 _0 f5 u, P: O* M) Q; ~% @& v o# M; d; j0 a
if color==BLACK:% r4 v& r+ p# y. k' @
1 B4 {/ s% @. w d3 ~3 y self.rb_erase_rebalance(child,parent)/ ?; L# Y5 j" o8 y1 [9 `3 A, @
/ L# L- F4 ]% [# ^: U' _
( |2 D2 [. p5 M6 }1 n def rb_travelse(self,node):7 Q6 Y2 D: {$ h& G
if node is not None:% K' _4 c9 z; w. Z6 F. L! g9 P
print str(node.data)+'\t'+str(node.color)
% H) ^* F, X: `! M1 o0 z) k# T self.rb_travelse(node.left)8 ]% ?+ Q) N6 v7 z" b' }% D
if node.parent:! ^; i# q# c/ ^
if node.parent.color==0 and node.color==0:
7 b6 D0 S; U$ ?/ o' _$ E+ ?8 J3 p print "error"
6 c z8 B8 P! h2 `( F! f( i7 c return% v- ^4 s/ z) ?2 q x$ t: q
self.rb_travelse(node.right)# j+ p. r5 n) c/ Y
if node.parent:
0 ^- k4 p' m5 a; ^, R if node.parent.color==0 and node.color==0:
R( P. Z( H0 k4 P print "error"
0 d; r; M' H+ V3 i+ U3 ~- ^ return* c/ K" K- o, _2 f3 K9 Q$ t/ S; z
( c' ?# [- G, m | return
/ {4 p- _: b9 O! D6 ~' I + O% k" g5 m2 q2 B' j, @! U
, ^% E& g& @: i! S; { def cmp(self,node1,node2):. W9 L) n S0 k9 x3 d
if node1.data>node2.data :
, ~/ i* A# q- _9 |! k% m return 1
9 T3 P: k- N r if node1.data==node2.data :( D1 S9 O: i f0 x# t
return 0 k0 |8 {9 `) F: l! J
if node1.data<node2.data:3 @& h8 j1 K. A0 p6 F& D) Q
return -1
- o: o" g& D1 W/ n. N8 `/ u( e6 R% z5 D$ ]( N
if __name__=="__main__":8 q$ T" H6 l Q! \' b, @. i% v
print "main"
$ Z+ ?- J, }/ z- ~' B# B data=[28,6,39,78,6,43,61,56,71,38]
1 b6 {' @. Y! \* M #for i in range(10):
* N! N, j! B/ } # rand_num = random.randint(0, 100)
6 v4 O: u: m6 w # data.append(rand_num)
1 N% v0 l/ r% m8 U2 p8 w( q2 z' w' c #print data/ b- U; e8 q( P' x+ J! C7 U* P
t=RBtree()# h4 O* k: Q3 L- Q- i$ s! s5 r* e5 c
. s$ l. y& A. `: }; d
" A+ z( g8 J0 Z0 A+ y/ k) D for i in range(10):; Q5 ^4 e) M4 P7 z, }2 J! i3 z' O
t.rb_insert(data[i])
* y+ x: c- }' {# Q) R6 C+ ]% V. s# d2 S% j0 l4 D4 ?/ F: j6 ~8 c0 V/ \* b
1 k9 p# x- Z/ b& d t.rb_travelse(t.root) Q( p# i' B9 M. t3 C3 U4 u! O
7 g: K5 x: Z: ~) c- K& k4 h1 z2 ] print "---------------------------------". f3 D; B1 J! D6 N/ A. V5 Z
t.rb_erase(data[7])2 Q9 a1 y: \' X5 u( t! \, V* o- ?
H; e1 g5 K7 a' h" {+ q& T
t.rb_travelse(t.root)
5 X" f4 } Z" `5 [, D, F; w/ l0 J$ Z4 R( A; ]. }
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