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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
0 D2 o5 h+ p+ b7 A; Q# -*- coding : utf-8 -*-
. d/ O" X2 \& |# R, N# C
# o1 O4 t2 X2 vimport os7 h0 `6 p: C9 d8 h" o' ^2 M* V8 f
import random% x. ]+ m/ {$ j# |8 f
0 m8 f* V. P. P+ U% D. j
RED = 0 p* w) d0 S$ Y( ?) s
BLACK = 1) ?" v, b/ I! o: }
! {0 c. h# b: P, L% H" a T+ G @" [( x iclass Vector(object):; [9 Z5 _8 z/ a5 S) O' v7 x5 L1 N$ w: F
def __init__(self,x=None,y=None):- j I2 p4 x1 z1 G2 _9 x! t
self.x=x
$ @2 s9 B( a, T! s* z+ q2 o self.y=y
3 f/ [* O7 s, q4 s1 H" w1 Z' U$ i6 Y1 n6 ~
class Node(object):
8 u/ X" ~& B5 u+ V2 T/ e* i4 v """docstring for Node"""
& }5 k( I) J1 j7 u4 ~ def __init__(self,data=None,color=RED,left=None,right=None,parent=None):
* M: n: J$ b0 A5 @ self.data = data! z$ F% w# y( e# i. f- S0 X( b. n' Q4 T
self.color = color% g; a& e4 E ?
self.left = left
1 c& s# }8 o8 Z: B! L self.right = right& H& G {' R/ O
self.parent = parent" p- o% C [+ o R$ ?
& X- I0 S7 F' L- V0 M R
class RBtree(object):1 @0 @ |6 E+ q1 y
def __init__(self):
+ ~: Q2 R; ?, n self.root=None
4 T. R% k# D8 @/ O self.size=0/ i1 u6 i( h! r
) ^6 N+ C6 Z0 \& A' u% E! h1 H$ g
def rb_rotate_left(self,node):. [6 v/ c2 m+ q- Q* w5 ^0 V
right=node.right
$ r. U' l& A6 H9 E1 `) y
/ M/ a% d* s& |3 _% d* ]' p3 ` node.right=right.left
. h2 _: \* j, D6 `& F/ u if node.right is not None:( m7 [' E' ^+ W7 E* ~" I M
right.left.parent=node
$ H- _) A. U; L6 k- A4 u! C8 e9 i4 a7 s% {$ { T- d
right.left=node
. B4 R, y- E1 k! J4 p; n right.parent=node.parent
2 T9 m! ?' s* D% y& C
) h; G3 }; K" g# \$ z if right.parent is None:; Z$ r1 M! t# G. s: a
- c) e Q, r0 m4 G' Q
self.root=right" g% I9 ^! ^" A8 k( `
else:
5 k8 a$ ~$ c; ] if node==node.parent.right:
) _0 ]" D, R. f5 c node.parent.right=right
8 y7 O/ C7 @# C- m else:6 ]7 c0 V, l5 K( ?7 `! }3 G
node.parent.left=right/ Y1 {. N9 S3 R$ H; }
node.parent =right9 h4 D \. i# i, V) r. Z4 h4 }3 v
; Y! T& N5 `3 S `
. [0 M1 u- X) o3 B6 \7 w8 }, X$ O
def rb_rotate_right(self,node):3 K8 Z* b( h m/ d- `
left=node.left' z% B i) ]- `3 W1 ~# L0 S! z/ Y
node.left=left.right
/ D7 F4 U! N' Z8 F# b+ Q7 o* i9 ]0 `
if node.left is not None:6 F) H% `+ n: ]" _) Y" P
left.right.parent=node P6 C2 u% ]+ O; a( ^
4 e4 ^- D3 K8 W( c+ P2 F, d
left.right=node
. G2 C& U8 q4 q! d. ?7 m$ l1 ? left.parent=node.parent, b( }: Z6 J: I7 o
# W" O+ I5 h+ R+ X/ z9 j5 d ` if left.parent is None:
1 h/ ~5 i9 W7 }2 i9 p1 ]) Z5 ]- d self.root=left* ]5 h+ x t6 G# H2 J6 f
else:
9 D; b7 y9 g( O3 D# D% g4 g/ { if node==node.parent.right:" W, O" ]" m9 ~4 W3 S
node.parent.right=left
* C" u" Q( U; O else:
+ c4 {( B3 M9 S- T ?$ W+ V) ` node.parent.left=left
" T }3 y! ]0 {2 W8 J- C4 i node.parent=left/ F. I1 l6 R. E# b s* l
1 H2 f$ i0 Y, G% w3 m8 Y1 w def rb_insert_rebalance(self,node):7 M1 T7 {, C2 W: `) Z! O
parent=node.parent+ B n) S4 G$ J; A% E- I
while parent and parent.color==RED:
' y6 S7 N3 r4 A$ D% L8 o gparent = parent.parent& ?( [# |9 H; d2 s# s
if parent==gparent.left:8 b9 X- P% \4 P4 h! L
uncle=gparent.right
# F% q4 n* U# R1 ~5 D, ` if uncle and uncle.color==RED:8 s$ f: e; w& U/ W3 z
uncle.color=BLACK
* `0 i# S E3 J6 G7 } parent.color=BLACK
- Y% f$ |* J' w) \9 o1 P gparent.color=RED: U6 Y1 C( D6 Y3 w% F8 I
node=gparent
9 @1 W, t3 S1 F0 `/ n6 z: | else:/ q* G/ B" \# z* v; @$ P3 }
if parent.right==node: x7 b* q9 Y; F3 y* j
self.rb_rotate_left(parent)' J0 h4 s9 p; ?1 O; Q9 y
tmp=parent9 _- S0 l8 n7 {
parent=node# c, a9 N b2 G. U& B
node=tmp
& L1 v! L+ {# S parent.color=BLACK
% Q/ \; i4 e: b% [6 M gparent.color=RED
, y8 b6 l( n/ B/ r- g6 R4 l a" V3 r1 e0 K6 o8 i. E- t
self.rb_rotate_right(gparent)
, J/ Y; C7 d( ]! ^+ }
. w0 k" w; f' P0 i if uncle:: P, A. r& u3 I. l7 q! J
if uncle.right:
& o# A1 m5 w" y. N node=uncle.right7 Q# x5 F A# k, ^& [% x
else:9 V$ n, m# x; `
uncle=gparent.left
) Q) o& U1 N4 W+ N8 _* n if uncle and uncle.color==RED:& M7 O: w8 `: O. _! |: S( B' j
uncle.color=BLACK
, |4 n' I5 w, d" E7 h2 m" u parent.color=BLACK5 M' m/ L5 F. Y6 h
gparent.color=RED
. M3 ~8 {6 u7 o( y3 s3 P node=gparent' _" e7 L; T2 i7 Q$ A: i' H
else:
- t$ a7 }+ i- ^' y if parent.left==node:
* N$ f/ Y4 m0 u self.rb_rotate_right(parent)1 A; B# p7 C" ^: l. d* G/ u) |
tmp=parent
T' I7 \7 U9 Z: e8 c B1 A3 P parent=node9 N9 h8 F0 @* Q! H0 l5 t( A0 Z
node=tmp
+ b# S3 A! S. M9 U3 L9 r9 y2 \ parent.color=BLACK+ }2 T! t* Q1 H- p/ j
gparent.color=RED8 Q& S$ x4 {' L% f
self.rb_rotate_left(gparent)
( L' v5 _3 W# t6 _$ s# r4 o0 R; i" L$ R+ N7 }9 ]
if uncle:
|* o0 @2 O& o" a4 z8 y if uncle.left:
* q( R( k! C. O; D7 U- T8 q0 K+ @ node=uncle.left6 c- P6 f# S( _* e0 L9 z: g, x$ n
parent=node.parent
4 P R3 R' y1 P3 i
) X! h9 o5 o' `0 C/ r5 R' i' p1 E1 A: R4 b+ S( ?# G5 A
self.root.color=BLACK
! G! c' B0 J6 s3 w+ {3 U( T ; H1 ?7 E1 N" K4 g5 a0 H8 U
# ~3 S7 _6 I; Q2 m
def rb_search_auxiliary(self,node):
- r6 }# M& K' ^1 D4 _% D tmp=self.root
* h9 ^4 @2 ]/ ^) e, d5 [ parent=None
: v( o# b+ O! q* o1 T while tmp is not None:
, p0 _# M' x1 a' q* k6 O" T parent=tmp# _' n& k& K; n' C: S( [9 j
cmp=self.cmp(node,tmp) [$ Q9 ^% K9 F3 @- _/ O: F0 T
if cmp<0:
. R; J) x# h% R& ` tmp=tmp.left
l3 A8 I4 O) L2 y else:
0 A5 D8 o. `( i if cmp>0:
6 e6 e& u6 P7 V; ~ tmp=tmp.right
8 e9 u$ ?+ a) b else:$ ?& X% `5 E2 \, c
return tmp,parent: d, q3 C) P7 ~6 J
# v0 K% v9 y$ N1 _( P- y" X& E2 i return None,parent
& N# @" }2 j$ j, i) P
- |& H! j$ Z* o* `$ q1 ^5 ^: _( _' E! s def rb_insert(self,data):) V/ Z0 N- K" t P6 {, i7 |
tmp=None% z# h* [# j" t
node=Node(data) T _! p, o, E' @& [4 I) N+ X
tmp,parent=self.rb_search_auxiliary(node)
) O# {" V2 M% a+ G2 {1 Q1 o* W! R2 f
if tmp is not None:' Q | F+ L6 F
return " q3 a6 d5 d8 r
& `% ^! c$ V V- t node.parent =parent5 ^8 U3 T: P# ^' g* M
node.left=node.right=None
4 ^: N7 x! n7 I: L/ ^7 V. E( P node.color=RED% U: y% }/ ~. ?0 x* H) J
) _0 L1 N( P$ s, ?' m; w. ?6 ]
if parent is not None:* P) Q2 O0 d, f2 i9 J; B8 g
, _$ ^& C, f# @
if self.cmp(parent,node)>0:
4 m9 t. ^- ~% y4 I parent.left=node
: u) A4 e8 l$ d: G' R( { else:0 B2 k+ x, c% f; e; v4 w
parent.right=node
9 ~4 c' F& E, J( p7 ` else:8 C G& l! {! V* F
self.root=node* r1 j+ E H! L
return self.rb_insert_rebalance(node)
* p: b- k# I( @- N/ Q0 C& {$ q( d
def rb_erase_rebalance(self,node,parent):
6 e8 _7 D% y: V: i+ J( O while((node is None or node.color==BLACK)and node !=self.root):% D% }4 j2 N, L$ D3 h2 [
if parent.left==node:- J& O( a; e& J! x6 X7 E1 x% _9 i5 K
other=parent.right/ }5 @( n) p2 p& F. E. x$ h- `: H
if other.color==RED:
1 z0 P: r# _( `# Y$ O other.color=BALCK
& `7 v$ c' t: ?7 A0 R, B2 @ parent.color=RED* [" L! W& e1 z9 P) o
self.rb_rotate_left(parent)
) ?6 }! V5 t+ R, z other=parent.right
7 |- f. V8 Q1 r, c! u if (other.left is None or other.left.color==BLACK) and (other.right is None or other.right.color ==BLACK):. {& U$ {% d# x
other.color=RED
5 m* Z( f; l, p8 a/ T# X node=parent" }1 a+ d& w! u! M1 R- h
parent=node.parent
2 [% O/ N j0 R6 o, G& q else:) k0 @" }7 Y6 a& M+ U4 Q g
if other.right is None or other.right.color==BLACK:, l' r% x6 L+ t# T8 l6 Q; ~) T; n
( a4 K% e A. Z" {( ^
if other.left is not None:3 ~3 e5 ?2 a* w: a9 {( T# E
other.left.color=BLACK c$ }. Y. P: K* W2 a* U: E4 g
other.color=RED7 A8 e# V3 g: w. B, `
self.rb_rotate_right(other)2 g+ V7 G/ y q+ y# O; M; ^/ I1 a5 g
other=parent.right
0 P O0 N$ {- w
& E9 j, o) f* |# x other.color=parent.color
3 v& A u) H" q! k* S parent.color=BLACK
/ U$ m9 v# X1 I if other.right is not None:! u2 r& A: J, m" U' d2 E6 d
other.right.color=BLACK; d% M) [8 C7 z' ^
self.rb_rotate_left(parent)4 T! }6 O; X9 j
node=self.root
: l E4 f; B( V& P, _' J break
& q- X8 o7 s& ^. ^4 {3 ]" C7 D$ [ else:
, |! R+ ?4 n0 J4 B0 | other=parent.left
+ E: ~! [5 I! \. P3 j. m, p% H% ? if other.color==RED:
R! c& S8 I1 D- i& Q! z5 ~ other.color=BLACK
% a' Y. z. O( ^# [3 B, } parent.color=RED
; |# H; L* L3 ^3 z0 L% k% Y& W6 v self.rb_rotate_right(parent)
. ^1 Z+ q' \5 \- X/ @/ c# d( W other=parent.left3 c* O1 w" {) I8 c( Q1 w' F
if (other.left is None or other.left.color==BLACK) and (other.right is None or other.right.color==BLACK):+ v9 B0 f8 f- W. D8 ]
other.color=RED
. }. p; T9 @' h; i# F$ S' B node=parent
1 `) z. T+ e6 m, ^9 r1 |! ? parent=node.parent, b7 |; z) O4 t8 m
else:8 K7 X9 x2 K( r/ `" s$ ~5 u8 }% t
if other.left is None or other.left.color==BLACK:
% b: b# V% ~/ p. G if other.right is not None:0 w2 C: Y- p. y# T& ]; L2 y
other.right.color=BLACK9 y; x2 }* C6 M( G M6 |
+ ~; s1 `9 d7 w; P& j8 B
other.color=RED: B5 Q6 |* E8 ] F( e( k' U9 k
self.rb_rotate_left(other)
+ V3 j: w5 |; o8 j' n1 Z$ E other=parent.left# |4 a5 `1 H2 n- z2 q( R4 `0 o' u$ V$ ]
, S2 p/ {2 M7 O9 k$ x5 G other.color=parent.color. z# {$ t/ s4 F6 j/ N- J
parent.color=BLACK
9 ^- U0 l2 D2 y9 O2 r3 e' t& J! |: A* p
if other.left is not None: R+ m! F- u& F
other.left.color=BLACK
* [! q( R$ e( x; V a" N0 v. I9 c9 b9 n% E6 S2 L; S
self.rb_rotate_right(parent)1 I6 R- _, W; U! w% j
node=self.root
[. q: y7 f) T5 U p+ g break
9 j( u4 P% U5 A6 V2 e; l( R4 g) v" O- s4 e0 k- y
, {1 u1 m m8 k7 h) n$ Q
5 h6 S6 T; `$ Z if node is not None:/ Z8 A' |) D9 \% o# z1 f
node.color=BLACK / F# f4 G5 o( T9 T' p) A3 m
- b- w5 {0 x+ W T1 P" a
def rb_erase(self,data):
/ I' l8 M# ?" x tmp_node=Node(data)8 t; x( O5 N3 v
node,parent = self.rb_search_auxiliary(tmp_node)
3 l6 {+ S! w' `1 R4 K, d0 x3 } if node is None:
' u2 m/ N m' L$ u3 R print "data is not exist."- G, B! r. ?0 k! O1 Y
return
# u) M- t4 }0 z: {
0 \/ C% G) _: U old =node0 \# F- l' r8 `" i# J! S
if node.left and node.right:
; H8 w, g8 e" l9 E/ b$ O3 \ node=node.right1 i4 K! ]) ~1 v: B/ r
! W4 P5 v7 ^* J% I4 v. B; T left=node.left. z( x& g, S: C
while left is not None: M% Q" V O3 H; w
node =left) [$ g' W+ L% c8 n1 _! R( a+ M
left=node.left
$ T* Y+ P, Q* L" a- y1 {& }% q1 }
6 Z' m4 E% o# d4 v7 d child=node.right4 m4 U! z5 B6 M$ m
parent=node.parent& f$ A* P& n8 h5 x/ P; M. ^- n4 _
color=node.color
0 I; r% i: M2 o( I- J% e) b; e) z4 ?" @# U' y( t6 K9 ]9 y" D4 X
if child:
& z; L! e: ~! L/ w# u8 K8 T% Z child.parent=parent
& b* |( l0 X r7 o# i if parent:* h. o$ l3 B6 R8 K$ A. C% d
if parent.left==node:
4 Q ]0 B& I7 y R x2 q parent.left=child
" M5 S) c6 r3 z: H else:
# t* ^2 U+ M$ `! D1 a: Y' O parent.right=child7 p# R4 F# `. O6 U/ J3 ~, {1 a4 O
. D, Y7 B2 f, l" Q h; U
else:
- M8 y/ c+ f7 U7 u self.root=child
: F6 ^9 R3 i/ G$ \
! \" B' O7 y M. x: L( E if node.parent==old:
0 {) p# ^& R0 P& [% K; _2 { parent=node2 E/ T$ V& C$ f! g6 r/ C$ D( a
node.parent=old.parent
% U6 Y8 I4 l% ?; p0 u node.color=old.color H6 X0 O% J9 u0 N
node.right=old.right+ ~1 h& g# N$ @! ^
node.left=old.left
k* S% w6 c+ m8 F" N2 g; r4 t
! [* _, y& X3 q; e* z" y if old.parent:
/ M9 X5 b" P1 Y2 @8 p! }& }6 a5 a if old.parent.left==old:; Q* s1 e6 @" {5 {- D
old.parent.left=node' H) I- _# S2 d/ Q
else:
8 s; S; b# h8 i: V. {( Y% } old.parent.right=node" S5 N) V" ?& A- V8 g
else:
$ Q. T/ s$ }1 M. n& ~' a; b5 X self.root=node, R* |- M/ l: N; I
( b# t' k. M, x! x; O/ Z" ~; V old.left.parent=node
9 s0 D" O3 j5 v4 N K+ Q if old.right:; y& p3 i! b# O! @6 Q5 Y% A
old.right.parent=node
! i) K0 ~: o! s, K& I
, ?: X$ N" e$ O, R3 p# p- e else:
$ d- l7 N3 X/ Q# x8 y: e) L if node.left is None:' @) S4 K9 L1 O0 W5 O6 ` @
child =node.right k4 ?+ D5 t2 t# X. l% l
else:
$ |& Q0 N1 V, h8 [% Z0 k" @- I if node.left is not None:% O: N/ `: S* r* R+ ^
child=node.left T, N3 Z& v5 D2 \0 ~ U0 z; c
else:" a1 O8 U+ L4 }- F4 \# _ ^
child=None
; x2 B7 i* j4 K8 O$ s parent=node.parent( a- `( T/ ?9 @3 m1 x" g
color=node.color- R" ]7 C4 |/ V# j9 a( b6 A
if child:6 D1 {" z, s& Q# V6 w4 J5 l( L8 L
child.parent=parent
x3 B* ~* p( @( X: }3 C3 K$ o- x0 z if parent:5 m3 M& ]% L. Q% q: q7 \
if parent.left==node:# s& ^$ Y* Q) f2 i* [" I
parent.left=child
* }: a1 f4 J8 Y- Q d# o else:7 i: N6 N' x6 c# g9 e3 ?+ L
parent.right=child
j' U& h; o5 V' P! `4 ^+ \ else:
+ u. S- e" y) P `+ v self.root=child8 ~ _: S3 T* j2 u' Z- P
( }* x0 p( ]2 |7 ` if color==BLACK:
( z# X0 R8 m* G& z8 O+ W0 |6 \) W$ L6 G/ ?! p, z! e+ G3 F* H4 R
self.rb_erase_rebalance(child,parent); ]1 _& |3 g1 K& }
( ]- D9 ^- Z* B2 q
+ D7 h0 H5 T- I8 J$ j: G
def rb_travelse(self,node):' p8 a6 ]! m, ~% @2 {, D u) Y
if node is not None:, X( f& e/ [" q0 s) d# ]
print str(node.data)+'\t'+str(node.color)/ y& J4 h3 s, |& t
self.rb_travelse(node.left)
) z9 x+ q5 m+ f% _ if node.parent:
* E* h' E. Y; \ if node.parent.color==0 and node.color==0:. s B8 h- L! i/ w( H4 I
print "error"
0 }* x8 g2 Y5 }) \/ E) y$ C return) r" b" B/ S8 y G6 K" C8 |
self.rb_travelse(node.right)) J; C6 [% o5 D) c1 L
if node.parent: M9 i0 `8 k% d
if node.parent.color==0 and node.color==0:' N# d1 O8 [- u Q; n6 l2 v9 `
print "error"0 M1 K4 H1 t( u, E
return* {9 H- S9 j$ }( S. h
' I' g" n# g- u) ]8 g" t* ` return! m5 h3 Q$ T. b1 k
8 G! I' ]1 N3 i6 f5 _6 m
+ m& |/ f% P2 b& T. k/ r+ e$ o& N3 w/ ^ def cmp(self,node1,node2):
- K0 {7 {( P9 P0 U if node1.data>node2.data :
3 D g8 y6 H7 C; J( k1 ^9 m9 e: b7 J return 1
9 k. M( Z" s. D# Y if node1.data==node2.data :" U' c. i# z4 T9 K) h
return 08 Q$ n/ P+ R/ M+ w
if node1.data<node2.data:: @7 z* W L3 P& ]" g$ } s7 _' S
return -1: I, T9 ]) r) T" C
: w! {4 w# p* c% X. q Sif __name__=="__main__":
" `5 N7 p! P1 k print "main"1 Q4 X f. k ~; g1 d) j1 D
data=[28,6,39,78,6,43,61,56,71,38]9 Z% K3 s9 U# S. F1 w: v: `
#for i in range(10):. S& f) S; v0 d9 n
# rand_num = random.randint(0, 100)
8 Y0 X$ }$ @- _; m # data.append(rand_num)+ A: Y. U8 k m
#print data
! O. r$ u K& c1 {* `, @ t=RBtree()
' w, j5 r6 O x$ ~7 U8 _+ y/ m d* V* @4 p7 a3 |/ i
1 l4 ?# y3 z, X5 }
for i in range(10):
0 {' O0 @& U; l0 C. M t.rb_insert(data[i])
$ m1 L. M! W% K7 A; }* P, P, c
4 E! e& @( o$ C6 x8 }$ D
+ X. V7 [; u u7 b- U. Q( X t.rb_travelse(t.root)2 F3 K- J& d( a
) W O+ I' A$ p( ]4 h* j
print "---------------------------------"
2 I- E* K7 e/ _2 A6 g: t) j% D t.rb_erase(data[7])
9 [: }' o$ \) B$ i0 t6 K& Q7 @
2 I/ S, f' c" P7 G7 Y) | t.rb_travelse(t.root); H7 N) k) q) K) s* n% U; t; P
v5 h( {3 f: ^" \6 K |
zan
|