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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 python5 u9 O8 _1 v6 w- `; R% @2 P j
# -*- coding : utf-8 -*-
- v+ A" y4 ^' `+ \
% _% B8 F8 s# Q5 d" X/ Timport os
8 W% @8 F9 C/ ?. q0 T4 n; qimport random! Q) n% T' x c5 l
/ t7 N# \9 ^& B# p8 k4 l( D( I
RED = 0' E/ Q: E0 D5 u5 n
BLACK = 1! K4 j0 z, X4 T4 |- H3 M! X4 d+ a
' |2 I" F- [1 [9 w4 F8 ?3 J9 N e
class Vector(object):/ Q/ z4 L4 d4 O, i% w# V
def __init__(self,x=None,y=None):, Y6 |; u) F2 ^ i
self.x=x2 j* k% }* {: p0 C. I
self.y=y9 h6 h# o; C: S* h6 T
- R5 L& r) [ N# Yclass Node(object):
. p6 R8 n; ]" m* L """docstring for Node"""8 p1 b" S+ N0 M2 u9 i* {: l
def __init__(self,data=None,color=RED,left=None,right=None,parent=None):: u; j& _" g4 W
self.data = data
- q9 b' w, J4 ]: E: `6 ~. v* a self.color = color
^3 W" Y/ a! `, T self.left = left' t# ^4 R- C+ I$ d; L0 a6 m K
self.right = right
& c7 A7 ^- T$ ^/ s2 q self.parent = parent
% g& O2 k$ P/ T i6 x, S, U6 ]0 N$ M2 ]; v/ I8 j
class RBtree(object):5 |. {; S0 r. K) c7 f/ r
def __init__(self):% D! |+ }4 Y! Y( v, S0 k# |2 q2 N
self.root=None
# A# r8 a0 ?- L8 E self.size=02 C% Z) v8 N( q. C" t) S( [/ @
) F( f" k. _2 Q0 d0 i
def rb_rotate_left(self,node):$ i! i0 A* j0 T4 w& p5 d
right=node.right
: m' ]& j; v9 Q) m! Y8 |+ G _2 O& f8 x/ `4 `4 V0 _) `
node.right=right.left% M3 Y# X* |' w
if node.right is not None:! _ d" U& \3 Y& \) V( R
right.left.parent=node& c) X& a4 k- R( V2 v+ e
6 r7 I) ]* J. X8 l
right.left=node" `( V! R1 ^" f+ P/ n/ e1 q! |7 U
right.parent=node.parent! z. s+ n+ t: T0 h1 U! D
1 p0 `% G: K: [ y+ U
if right.parent is None:
( P) H) v5 c& T# ]) t+ K1 L
9 ?+ K: n) k4 ]; U self.root=right Z2 ]" V2 Y: d, e9 i5 l+ F
else:
' c8 q1 u, m- v if node==node.parent.right:# `; h; s+ ]/ C! T# g8 Y
node.parent.right=right- k9 E. q1 W9 q- y3 ~
else:- g$ G) C" H) A4 X3 Y( B1 C+ Y6 O, p# Y
node.parent.left=right5 C' ?9 W, ^+ @0 j% H, X& `7 k3 t2 e7 |
node.parent =right% W' `! m: ~+ H$ B3 B; M) w4 b
( E# b5 p+ _( e* ~) @ T3 _1 k; ~4 X) J0 ]& V' ~( M! ~% e+ @
def rb_rotate_right(self,node):' m( G1 Z3 _; P( t+ Y/ x
left=node.left q; g/ c* O2 w
node.left=left.right
. z1 ]/ h" C5 M/ {, v
* I9 y6 c1 F, W if node.left is not None:7 e+ y3 O" }* L% ?3 |( Z2 T
left.right.parent=node
3 ~5 x0 X7 s* J* r
' z( m/ S) c- g% E* S; B left.right=node
L# ?8 H7 s. i/ A( S4 J left.parent=node.parent
: V# M; u* |$ y# @! A% h# e) K6 I* ^0 U8 }5 U8 n
if left.parent is None:' P. a, l/ m; p( d2 w' e+ W# c5 N
self.root=left
+ [# \6 ~7 o9 j' x. _ else:9 g/ C& u) a# w0 s+ x' Z
if node==node.parent.right:
% t- K9 {# w. j' W0 H* c3 k" q node.parent.right=left
, a/ X! F3 y9 V2 ? else:
8 ]; ?+ `, Q/ M) z3 N node.parent.left=left
# V; {6 ^% q P; ]* x2 Q( E node.parent=left
+ n/ W, m3 \1 ^% _5 h( \( Z: @' l6 P6 _. Q
def rb_insert_rebalance(self,node):
* X. k- L, J* E6 {) H/ u4 j parent=node.parent
( n- {8 V$ ]& W8 I: Q8 d5 w K& Z while parent and parent.color==RED:6 S+ I& k# F; P% \+ Y6 T
gparent = parent.parent: B+ p2 I! z( F
if parent==gparent.left:
. k P; B( {1 D2 O1 t) Q uncle=gparent.right
; ?" e3 b5 T, K9 M9 _( Y if uncle and uncle.color==RED:$ W0 V7 C1 C& Z
uncle.color=BLACK
/ `, v' O+ A$ V$ x$ X. N parent.color=BLACK/ \. _4 @5 G9 y& I
gparent.color=RED$ T) u8 V2 V: G; Y6 |
node=gparent
& g$ h. m8 N' D6 L3 i) G else:
, c1 V+ c" g7 p if parent.right==node:. V3 F* b# }1 ^3 K
self.rb_rotate_left(parent)
2 r( o1 ]# b8 Q! j% _ tmp=parent
) g: M6 }) Z- i parent=node
7 I0 K7 l5 M5 } G6 D2 R4 `4 H' B" J node=tmp
* w6 q" p% a7 z( N# ^5 t6 g a parent.color=BLACK
0 q; @3 ~& ]9 R" E! q: | gparent.color=RED) Z, Z9 @8 x/ Z: }
( V) L+ O$ H; K self.rb_rotate_right(gparent), |5 R ] r s
% ^6 H4 Y' R" m2 I, c
if uncle:
2 Q6 ~4 w: c7 _- U' c3 }. B/ |+ ` if uncle.right:
3 O9 v) y# r g9 b node=uncle.right0 K6 [6 q* q% r; J3 I7 W
else:
+ H% ^5 N# X! H: E, {0 k uncle=gparent.left) {5 W* `2 h* `: j& D7 w- ], ?
if uncle and uncle.color==RED:
9 S' }& D1 b' O& L, K uncle.color=BLACK2 m& B2 Z. z4 j# ^- b
parent.color=BLACK" b* R8 \; V; s; h7 H
gparent.color=RED& u0 q1 a4 @2 e" X
node=gparent
: y9 |% y( q) ^" U else:* Z' S6 t% ]; A$ ^% n5 v `& r
if parent.left==node:
4 G6 V2 x6 F# g4 s: x r2 A1 o0 S self.rb_rotate_right(parent), [7 M( C; L6 t0 |
tmp=parent
2 A% z& t O- }* s parent=node3 Z6 i$ ?* {& t' \* ^; h
node=tmp# _6 }5 S6 J* E" W: E! k1 P" U
parent.color=BLACK
% f0 l4 F d; t& `* V+ A gparent.color=RED% u: A8 j5 X6 }/ F+ `3 T
self.rb_rotate_left(gparent)
" {( x! X: S- t* ^& e. A% { Y0 K( H
if uncle:
% n/ `+ c' P" e' O! Y+ r& Z if uncle.left:+ j( ^3 y" T. S7 O: h( l4 P- g
node=uncle.left
1 G3 E3 k1 b" ]- Z8 m/ r4 h parent=node.parent9 F8 w0 s, y. |
5 Y# Q, P6 e9 f) J' `
1 I( N" u6 X2 b3 T self.root.color=BLACK
) L* Y8 z, M) H8 ~: ?$ s 9 g. R! u) h D4 @
) o8 K9 }$ c; w* x) U$ L9 Q; m
def rb_search_auxiliary(self,node):
, E4 @- a( ~. z' U( _ tmp=self.root! x4 g* J8 b: L" T( j+ N, H1 B
parent=None8 }7 u/ b+ t5 `: {2 r
while tmp is not None:
G; F& u. s' P$ w2 \# F7 P0 N parent=tmp
7 Z" R. v* k$ X; v& [- f* ] cmp=self.cmp(node,tmp), b4 M8 }/ f. ^# u' U& j& E
if cmp<0:7 C5 p5 E2 c# y7 M9 i- a1 t
tmp=tmp.left
$ I5 c" ]: G% A8 S' } L/ _ else: y! W8 ^6 h5 [, f9 _. t" T8 G
if cmp>0:
8 k) g* |( h6 j7 ^ tmp=tmp.right! ]4 h6 i: P" H3 O0 U
else:0 H* I' ]; y1 m: _" Z8 t* `
return tmp,parent
$ n* A( H$ w; E4 ~7 j6 C; Q0 V+ x! c* w
return None,parent7 k- ]9 t6 \) G. h# X9 Q! n: q
4 i/ t4 Q9 G9 p" Z& g
def rb_insert(self,data):7 \- K( {% m' X# L- B, R
tmp=None
. N* ]$ j$ _' ]' E4 P( H7 \ node=Node(data)
5 s/ N* X6 I( x- j4 } tmp,parent=self.rb_search_auxiliary(node)4 y8 O5 d0 [/ _$ W1 ?$ N+ d5 m: m
6 v: U7 R' [" Q/ x( H# | if tmp is not None:
, V* C) W' G% F5 Q+ E E return
; q/ I: v4 ^ h: b/ p8 e( o) x0 ]3 v. s8 a1 |. N
node.parent =parent8 |- w9 A/ }! v$ F- I& U; N& E
node.left=node.right=None
6 P4 x; v! T6 c0 K/ b node.color=RED
6 v" W: i8 {4 {7 o. E+ o5 L$ f5 f- S! d1 _) Q f6 H1 X; T0 h3 x9 }
if parent is not None: t. B3 B( b2 G4 _- d
! W+ j5 E' X: `0 i+ n0 ?# o" G if self.cmp(parent,node)>0:# w( y4 {+ Z* Z3 {5 X4 g" d
parent.left=node; q4 }7 Y+ _# y! K: i
else:
5 v9 ]# ^: ] Z6 F5 C5 [ parent.right=node, I j+ i4 v5 {; E0 C" z
else:! d2 @/ ~5 d& z; W+ W1 J
self.root=node
2 f2 ~$ P; l& z" k! Z! q return self.rb_insert_rebalance(node)! U. F" Y; |; z' @. f9 p
+ Z& b4 k* @* |. c" f4 ? def rb_erase_rebalance(self,node,parent):5 p( p* N- H4 y1 N6 a6 ^8 t
while((node is None or node.color==BLACK)and node !=self.root):* {' z; R8 W* c; D
if parent.left==node:3 j) z/ b" q1 J h
other=parent.right
" Y6 C7 C" E( c) f# e$ o if other.color==RED:
8 [) ~/ z b/ _2 [; U other.color=BALCK
j a, W7 L6 ~7 W parent.color=RED8 ], X% j* [8 L' p/ Y* m) [
self.rb_rotate_left(parent)
& H$ U( _* @2 ?# n other=parent.right& x# K- ~6 d& I2 R' l$ p2 T
if (other.left is None or other.left.color==BLACK) and (other.right is None or other.right.color ==BLACK):
+ y" u4 c2 N# k: L y g: W3 S other.color=RED) e2 D- S6 u- F! ]( @, g" K* Y( h2 }
node=parent
6 ?- r2 _5 F3 {; n6 b& K7 _. D parent=node.parent$ W. M" N; B% S4 f
else:9 U c0 x* u+ \5 S! y
if other.right is None or other.right.color==BLACK:) q' O* i# T7 [; C) u! ?9 \
- d% v$ `0 B. X0 N# U" a
if other.left is not None:* d l& w; g0 N9 J4 S) @
other.left.color=BLACK0 }5 G: e. a) M1 O+ O3 c
other.color=RED1 Z7 O) P; d1 q; \# K
self.rb_rotate_right(other)/ b& N# Y% n) K- ~7 ?
other=parent.right) m8 \. Z- L3 \
0 R0 L' k: \4 s9 y
other.color=parent.color
7 F6 u" |7 N5 D parent.color=BLACK
; C! c( I( i& _8 }: p. u if other.right is not None:
: A/ y9 ]( g6 h other.right.color=BLACK
- [8 f, F) B @# p) G7 }7 W. a self.rb_rotate_left(parent)
; d" q5 p, k7 F node=self.root
( C+ Q8 Q5 O& L- y { break
! K, K7 }- m/ L. m: `- L/ R4 r, ~ else:
, `$ M6 f& H7 ]/ q3 d other=parent.left
& c6 \ {; \2 s3 y" g- {! H5 [+ E. U if other.color==RED:
: \- e) p4 J& z# Y other.color=BLACK
# S2 V. n) I; I( u9 {8 { parent.color=RED* S& M5 ?+ {2 d# A3 q U% M+ K5 r
self.rb_rotate_right(parent)% z6 i0 H4 B( @
other=parent.left
; @, o5 W2 v9 X* z, |. L& z. b/ p* Y if (other.left is None or other.left.color==BLACK) and (other.right is None or other.right.color==BLACK):1 C' }. S. z/ Z0 y7 J
other.color=RED- T7 E3 W! {) Z$ |2 k5 @; H/ E( D
node=parent$ n+ y* d- U2 V6 a
parent=node.parent( B# ^+ ?) B# y8 v6 k" z
else:
7 s, u k; g r- L* k- U q: Q4 n if other.left is None or other.left.color==BLACK:$ I; m* `3 O" l6 z; \" Z5 v
if other.right is not None:
& O& [3 l$ y' C" }0 g5 P1 W other.right.color=BLACK
6 G" p- S6 J$ J# I0 e# D# D5 i& t* X+ n8 c
other.color=RED
5 D7 ?% c- K% X self.rb_rotate_left(other)
% o% f; D0 H/ J% e5 x other=parent.left
. v! n6 h J/ |. L* Z2 N3 a Q% Y$ ?7 {+ I( [) f- X4 m" B) f
other.color=parent.color: o0 p& a# S5 L$ W7 Z b% {4 X. J
parent.color=BLACK
0 a. e9 M$ C) O2 ?6 N, T4 m* G5 e( }/ ~$ w
if other.left is not None: E& n4 X0 [( {3 U: v
other.left.color=BLACK
0 a# R5 d2 D% Y D0 W+ ]- J. |' x5 U5 E
self.rb_rotate_right(parent)
' ~9 @ l1 |) Q6 d/ N& s, S, w. E node=self.root
7 y1 Q8 y/ x+ { break- O' \: O# K2 K) E) V) o
7 {) l4 t" a' [& x4 |
7 Z$ |8 J% A6 h- e9 o# V
# B3 U' }/ k4 }. D if node is not None:
* }7 {& q+ H9 \/ e B4 v3 Y node.color=BLACK & [- Q1 m4 ^* d* C2 ^6 W1 L7 Q
: |' w5 r& D9 t7 q def rb_erase(self,data):
! w T( G( m/ e3 `% V5 w( `: H tmp_node=Node(data)
0 }* A) K8 U. p2 W2 X node,parent = self.rb_search_auxiliary(tmp_node)
K. j% `5 A5 A8 P if node is None:! d4 W& {7 l: E9 E w$ p
print "data is not exist."( s' m4 I- z( v3 [
return) p$ c* m5 o7 ~4 Y* M0 c% l( g
+ V# k, Y) w: g- z- E) i
old =node+ G% E2 `0 j% o& r6 ^( z! M: i% d
if node.left and node.right:9 z2 [& ~* ]" M& t
node=node.right
7 \8 q) t/ J% _# k5 g5 g0 X- Q/ q
5 o# Q$ u5 q! y; c( P! D9 B9 { left=node.left' Q% @( `0 E; p- l* p4 M) n
while left is not None:
$ z& u; I% {! R$ w9 b; n node =left
. }7 s0 _. ^" r$ s5 Q) a left=node.left
: B( S$ O. R8 J+ Q/ x& v" t- Z! g8 q5 g: U3 B7 }+ P' M/ L
child=node.right
( D, v- w5 D& O4 E: \9 F parent=node.parent2 p4 ^7 ]1 W# f* z
color=node.color5 L' Q3 ^% b* i1 q) s3 A4 d5 q
( E& s: l0 e# |% p) k4 q if child:8 L* t* O4 p; M5 J
child.parent=parent
% D6 z* A0 S; [5 v if parent:! X! B0 W) l# V( Z* B# s1 ?" K: {
if parent.left==node:
! _# P" v; U m* X parent.left=child
$ F6 s$ i1 u2 z3 I& J else:' j9 [4 A% H) _9 U
parent.right=child
x; h2 D# q9 k6 `- Z
$ O% H j; X+ ~( o* J) h else:6 P; L$ F- n( N+ r8 u# ^
self.root=child
' }1 s9 n- H/ R( `& M5 ?4 w0 y6 o1 @$ }/ r: P) z
if node.parent==old:4 t0 n) v- l3 X7 g( h& Y: W# [3 U; X
parent=node' h; S. ~' }( ]6 G
node.parent=old.parent h! L' S2 W# p& r# Y- |; d
node.color=old.color
% ]2 q3 u0 @" k0 l node.right=old.right
/ ?; E/ M+ j& h% P# ` node.left=old.left
m$ `/ }, f+ r/ j4 w4 G( g9 L+ @" L5 J
if old.parent:
/ `: a) ?. E4 K2 A3 t$ O5 B6 ?# R if old.parent.left==old:
7 b% ^( U$ @# F/ w- T; l* V+ Z2 ` old.parent.left=node
" o4 U& u4 [! W- @9 _ else:
2 b$ C' L2 d" w a. G old.parent.right=node
0 v; Y' Q L1 |6 s+ Q8 Y( k+ n3 U else:. e1 f8 L5 H: i4 Z% f
self.root=node( l9 D3 I& a8 r( O- t: D
9 g3 ]; X) M# K! r0 [/ O% A& K
old.left.parent=node
' f1 f: G* {. X( p2 ` if old.right:- n2 C; C7 N4 E3 ]6 `, `
old.right.parent=node
5 W, p$ x% X7 k0 S' h h
& N# x5 b7 q4 W- S else:
: R9 H* P2 N3 @ if node.left is None:6 g" y8 B9 e7 k: c
child =node.right* l7 F) O& X8 z5 O. H
else:; c s) |/ C( I- W: z
if node.left is not None:+ w( r2 X6 Q- B5 S7 e t) C' a
child=node.left0 Z# f0 V: o) Q9 s
else:8 U- U+ N+ D( D: Y& y7 e
child=None" |, ]. h0 J: `- _
parent=node.parent
& M$ @/ Q6 K6 M- l1 \ color=node.color
( y4 C9 d `3 _$ d+ m if child:5 |/ C0 L: C! ~# ]) b
child.parent=parent" W$ R3 B; u( _7 [, d2 }7 V8 J3 K" ]/ ]
if parent:& z- U* |" o) F) v: f) d! X
if parent.left==node:; j7 g9 x% M7 s; Q! e! q
parent.left=child
* v9 w4 H9 Y7 i: i else:- Y% q# o# l# n* g2 K& V
parent.right=child' K1 o. b. O2 V9 N C% W8 C
else:
% [! A h2 Q& t/ K: x3 V$ d self.root=child; c. F+ m* v, Q m7 G, d+ \
3 b; g7 z# i5 j* a if color==BLACK:) o& M4 Q) O" _( U5 n5 C1 A
0 V' ?0 r: X* `/ n( Q3 w" J5 U self.rb_erase_rebalance(child,parent)
5 S% ?1 E, ~# U2 y' z6 t. U7 R) E: E D& {8 T* O3 g3 t
& \4 r z5 m7 D+ i# B- {) V def rb_travelse(self,node):
+ q" C8 u9 O$ V1 m if node is not None:7 {& G( O' Q3 @5 u$ L
print str(node.data)+'\t'+str(node.color)
3 `& t) I% ?& a5 o self.rb_travelse(node.left)/ `4 _; {* n7 O" K$ J, o( E
if node.parent:1 u9 _) h3 |: D0 H W0 w* G4 c
if node.parent.color==0 and node.color==0:9 x/ n$ \! G! e# `, t
print "error"
& q2 t0 y- [# q7 T6 t6 ~ N return- v. b! j6 d" [2 u
self.rb_travelse(node.right)
' F' Q# E1 @ B9 S: M0 e if node.parent:
' N& ] |4 V; L. ~ z if node.parent.color==0 and node.color==0:& Z- c8 I8 A) V6 L6 W' w
print "error"
3 Z3 s) ^! P, f4 r8 A7 j return4 c4 u5 U+ u2 `5 Z
! q/ v/ F$ o- J
return
$ v* H m1 j1 t$ N) h- ~ - T( W) p7 j; G6 |; C
9 X) {' G" j5 s$ Q$ V+ i, [ def cmp(self,node1,node2):: q D# X0 n$ E# Z* T0 h0 X
if node1.data>node2.data :0 b# t m o' o0 ]
return 1
! x& B r9 X( [! @+ Z5 S0 m if node1.data==node2.data :) U# t! s5 A7 V: i3 ]4 W
return 0; t* T/ Z6 ]9 ]- k: H6 G; I% U
if node1.data<node2.data:
) x3 k; f W% y Q5 a4 l4 X2 k0 y return -1) z; M$ I: \6 Z6 a- \
& `: ~; B0 t: A5 T3 T8 A" R
if __name__=="__main__":& E, j2 {6 C4 ^ Y
print "main"
1 j2 b- ^2 l# d \6 k; ~! S0 t1 Q2 c data=[28,6,39,78,6,43,61,56,71,38]+ `: p/ Q' ?0 S( z+ B: P! M
#for i in range(10):7 e5 Z! q( }& S' h' u# r
# rand_num = random.randint(0, 100)
* x4 T+ @& c7 S0 ^ # data.append(rand_num)
( o0 i+ Y6 y7 ~0 } #print data
) |$ ]& M; |$ I# y4 S6 R1 G. s t=RBtree()9 }. U( S6 i4 v) I. S ?6 @* l9 x
7 U- d' ~* q* ^& O
" l( Z* `+ c# y8 J8 \5 P for i in range(10):
z H$ R1 N. K4 i! X4 x' e& m t.rb_insert(data[i])% R5 G9 \* C$ W; ^; T0 G8 H
6 x& j, H; @/ U# b0 j* t/ W+ k1 _# r( K6 v
t.rb_travelse(t.root)5 o7 k2 A7 B& t3 n& ?, v
9 e2 I$ W- V; m2 P8 r6 R
print "---------------------------------"
" O, M& q8 L: M# E Z t.rb_erase(data[7])
$ b6 q ]/ D/ e9 Y8 Z2 P4 g8 Z! ~ 7 h: O- f. e7 R" I/ q0 [/ T1 n" s* h
t.rb_travelse(t.root)
6 j. t, k' z5 j7 ]6 w1 h, N0 S9 u% Z5 f. C- R
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zan
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