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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
+ V h7 ?& A* r) j0 L# -*- coding : utf-8 -*-
* H: A4 {8 ]7 H! l3 I8 ^' N% V W3 x6 w% j
import os
" w! d' G% m$ m) gimport random& `4 q0 u+ P3 v% _8 \
5 Q& D. K* ?) p; I# BRED = 0, J+ _$ R2 b; G
BLACK = 17 l# e3 v, G( U- v; j
8 [: r# Z- H! R4 S5 s8 n) B) R
class Vector(object):
, V% Q% |! r/ R+ q( s: } def __init__(self,x=None,y=None):
& q8 y/ D, j$ u+ {$ ?, P! P self.x=x0 f! w2 q3 b& p
self.y=y
3 h( N' J" l( y/ n0 i3 }
& W7 a9 q- q4 J& Mclass Node(object):
4 y2 l4 j7 e5 H3 L0 v """docstring for Node""", j" y i$ @" I* |) S1 R% U
def __init__(self,data=None,color=RED,left=None,right=None,parent=None):
2 Y$ o) f8 I9 f self.data = data
/ P1 P; E9 z# I! @ self.color = color
% Z: E% |8 D: q" ^7 K0 k& L) D self.left = left! i2 D! H$ i0 w, `7 o
self.right = right) y! p2 J6 i0 A" f- j2 P
self.parent = parent
$ k# Y5 _0 X! A" @& @/ k
7 O, W+ i# T, f; jclass RBtree(object):
i0 j8 r+ V! V3 {6 O6 ` def __init__(self):
/ E) P4 A# S7 J( W self.root=None0 p- V: m8 v% u3 z2 P1 o
self.size=0. m" [. K1 I4 M0 l% a8 b9 I
' A% h8 c+ R, a0 }6 @
def rb_rotate_left(self,node):! a/ E( Z. P9 O
right=node.right; }+ B! P& w6 ^
' Q! F4 O% m/ Y I2 _ node.right=right.left6 }9 ?4 F' _- L( }6 U; _% U
if node.right is not None:7 Y, z5 k# C w! P& F
right.left.parent=node
9 p3 j# E/ s$ O+ n9 E4 M2 W2 j8 p/ k, K
right.left=node
2 ^1 z+ i7 n+ K3 t: a right.parent=node.parent; [$ W2 T/ e5 Z7 J7 s$ C9 Y: J# q
: c, A* ^6 X; w) X- w if right.parent is None:8 G0 F% z5 T V' ^: m+ \1 B0 j
6 Q: b5 U0 q5 i+ d( L' }
self.root=right; X# B& F4 {0 g: K6 D& O: }
else:
. \ T; S+ q6 O1 {" d2 L( I6 _ if node==node.parent.right:( Y) ~( e' A' F* T5 D6 Q1 r, z
node.parent.right=right
) H3 x/ K1 r0 m/ _. N: A& | else:( E) Q- U8 x% G0 `: G
node.parent.left=right" r+ j& s3 C% k; o3 }3 J
node.parent =right2 j" R0 A- W5 [% I. ], ?
4 f t! c L$ d' {
9 j# ?: _* u9 P( I! ~5 Z1 { def rb_rotate_right(self,node):
: d' J) ]' v- n. }9 X left=node.left( l. B2 G0 h3 ?8 m
node.left=left.right4 Z" j" l3 G- V9 }: i
0 b; b" Y0 F8 b( } if node.left is not None:: a4 t, J: K. @2 k8 D. W! @* d
left.right.parent=node
' T( a2 r2 ?* q: l' s# J6 S
4 z a$ K) F7 I' v( X% X* m left.right=node. {5 K$ X$ O* O+ u. j+ V: P& ^
left.parent=node.parent1 G+ |. R$ O: H; ^9 E8 S9 K
& [& E. q; c" l5 n, P3 v/ ^" p if left.parent is None:) x8 ^! {. B8 k9 [. z4 ]8 e
self.root=left0 Y- P! _$ P. _3 i
else:/ o/ \8 u1 v1 `! K8 @3 h3 W0 b! a
if node==node.parent.right:9 ?3 U o2 l! w7 K. a2 O2 ^- r
node.parent.right=left! o Y3 |) B0 T1 ~
else:$ Q7 R, H7 ~- p: O0 {
node.parent.left=left
2 Z7 d: m4 Q: `: \. W node.parent=left
8 Y& A2 g- ~$ I
2 @% C: {8 T" S& u! V def rb_insert_rebalance(self,node):/ B/ ?0 `+ L% e
parent=node.parent
! s4 Y& i3 r' }+ t0 a. ~$ ] while parent and parent.color==RED:
' P; R9 _2 P( E% v w2 J gparent = parent.parent: @4 l) N- f- @1 I2 N0 m
if parent==gparent.left:
6 v+ ]+ k2 d7 r6 f uncle=gparent.right6 d* W0 K1 d7 c) G/ \7 v- g
if uncle and uncle.color==RED:
' e. G% |( e h3 `! B uncle.color=BLACK, n# u8 `1 Z; }! f
parent.color=BLACK! \/ S1 x Y# u
gparent.color=RED( A9 p$ X; O+ d! E6 U8 x# U
node=gparent+ s3 l9 d j, N- Q2 |7 R+ u2 h/ K% v
else:
+ P9 P8 O7 v' q if parent.right==node:3 M5 R$ { K; y5 F
self.rb_rotate_left(parent)0 k3 x4 X% t4 c: f+ x' H
tmp=parent
& J9 h- m% ?! C parent=node
* H8 ~9 N) n/ N$ S/ g, Z+ D node=tmp
' _1 M, t: @: b0 s% k parent.color=BLACK
$ e3 i; p+ e: d. e gparent.color=RED
8 S8 ^# d1 W" a% ~
/ ]( T* V( Y! P self.rb_rotate_right(gparent)) u9 B( ~# A ?: O9 ~3 _
) C- X/ |5 E/ g6 q
if uncle:: P; R8 f, U! _0 V6 Q/ _
if uncle.right:. W. |3 D% I5 e7 X% ?
node=uncle.right- [$ i$ M0 o t L/ r
else:. e# W; i1 _" L
uncle=gparent.left
9 ^; K a5 p0 @6 d# m- g9 g if uncle and uncle.color==RED:
( p& f- L! m* D9 g y6 u uncle.color=BLACK7 I+ W% K- X% R! R+ L; B
parent.color=BLACK
, r% L" ]( [3 |5 [ gparent.color=RED
# q' ?$ K- I* L- t* L node=gparent
r9 _; G* H) w5 v. a: z else:) E( v S7 ~4 R5 u
if parent.left==node:
5 W+ X% [) ]5 q8 x" R self.rb_rotate_right(parent)
% K+ w4 s- a, `0 r. K) _- B9 s$ p( y tmp=parent
3 j% M9 W6 v5 | parent=node8 g B3 I8 K' c5 E
node=tmp
; R% ?: l* i2 g( L$ d2 j+ b6 n parent.color=BLACK
$ Z/ o1 Y( S/ D% d8 H' c gparent.color=RED
; m9 X' t2 x+ L$ a$ |/ J3 Y8 F self.rb_rotate_left(gparent)/ S$ n2 \$ `7 T. Z1 d! G3 Z
; B: ` |( t* m1 }$ {- ~3 X. X
if uncle:
# j$ u6 S9 w' ?2 C5 \ if uncle.left:( {0 a4 I4 f7 \
node=uncle.left
$ q4 \/ M3 {1 r parent=node.parent
: S, N y) N* K' W; ?4 X' J3 M5 h S! V
& S% A+ ^% b) v8 X8 b self.root.color=BLACK3 y9 m5 g$ a8 c6 p. i: @: e0 S5 x7 d
% r; s. K) ^! ~ }
8 a: n. R( @7 B8 w* Q def rb_search_auxiliary(self,node):
+ N* C h* P7 |5 R tmp=self.root
2 M0 l8 O5 L; h$ x parent=None0 Y, B# a6 h. R( r0 q7 u
while tmp is not None:: p6 A6 F0 s' q* ^4 H
parent=tmp
( [& C, D! S2 m8 ^' _) D, ]% F cmp=self.cmp(node,tmp)
0 t2 N: @) t, v. W& x5 }8 f if cmp<0:
6 \) L; n% `: w& z% @+ N' T tmp=tmp.left( n8 |- ~6 {7 ?7 V3 e8 i9 J
else:* L: s) a1 b# O5 D z5 Q
if cmp>0:8 f- w( B4 v4 f$ |6 S
tmp=tmp.right" s9 }: U$ W1 x5 O
else:
' N1 F+ J/ e9 E4 {8 [ return tmp,parent
. t& ]* t. R, c5 R& E0 O+ b9 G7 f3 s/ G6 q9 M/ N! S
return None,parent
. ]' {1 L; `3 v8 M% ^
' o- e" c, K# U: I def rb_insert(self,data):1 {, @0 k3 a8 u
tmp=None, ~3 C% I# o x/ S% J
node=Node(data)7 d, W7 U3 b* u# R
tmp,parent=self.rb_search_auxiliary(node)2 e4 P: e# H: C2 l) [
& T+ {1 N8 _3 M) g if tmp is not None:
$ R; S0 E: Y- O$ |8 l return 2 u% h; _4 H: o7 V" x
- \! y9 ^ W" b( @" J R3 j! H
node.parent =parent: ]! x: l! u+ e& d; ~2 |4 l
node.left=node.right=None
7 z" P# z( d- l9 K1 Q+ Y! k node.color=RED T- R1 v/ `3 F6 ~% {8 M* {
) H! ^% c5 D6 b, i# N9 G if parent is not None:
Y9 z4 w3 ~/ v; h
0 J6 `. m3 \* Z L" r if self.cmp(parent,node)>0:1 H8 C4 H: {% N+ U1 M
parent.left=node
! A; X& F$ G. m, v4 t else:
4 z8 M7 i7 ^, O! {# ^ parent.right=node
$ v# s; q! h$ b, T7 r% T0 {8 } else:
1 }) h3 t* Y2 u4 B$ W6 O; T! H self.root=node" I, v5 R) W$ x( q7 K
return self.rb_insert_rebalance(node)
# l4 S% V& i" }" b
, C$ ?! [& g- J. H# a- k6 i def rb_erase_rebalance(self,node,parent): G/ f' |7 f. i& U( h6 d- r
while((node is None or node.color==BLACK)and node !=self.root):6 M$ J. I3 a, { J9 G) o
if parent.left==node:
7 c. C! [' E: V" e other=parent.right
( w" W8 V) \# m1 e* `( _8 Q5 ~ if other.color==RED:$ v! x0 B6 S; f
other.color=BALCK
( p3 f2 \0 t7 \$ t1 R* K% T parent.color=RED+ ?0 D# e7 V, N
self.rb_rotate_left(parent)
# E8 G: z4 L# u: s% j other=parent.right: t/ ], B2 P# C0 ?
if (other.left is None or other.left.color==BLACK) and (other.right is None or other.right.color ==BLACK):
- d! _# ]* W) U2 }; F, E0 g other.color=RED
0 z/ F" \5 R! S node=parent
! y% |. n$ c6 p/ G" t k; j" N parent=node.parent
2 X$ n) k* f: x4 W' I/ ^ else:
* v$ a0 Z) M' O- j9 ? if other.right is None or other.right.color==BLACK:; q' h! W. R8 h8 U3 m, \( d
9 S. r" b) [7 m. D% o if other.left is not None:
; R+ U: n7 G; o" K4 e) I& {$ H other.left.color=BLACK
/ O, g) D1 O' I' q) X: X5 a! g0 k y; g other.color=RED
' h# {1 r' r' m6 R self.rb_rotate_right(other)9 t' H6 E( ^. P: o
other=parent.right
i5 ?, \% C- U* _
& h. U1 H3 v b8 q other.color=parent.color
L7 V$ V4 w1 p7 x% D- j" a$ l/ B parent.color=BLACK
3 n: X/ D; B+ ]& E; ` if other.right is not None:
9 |. l$ J; l% p/ d other.right.color=BLACK
. o$ ^5 g* c& H+ R( N6 Y self.rb_rotate_left(parent)
1 w$ I, _ ~" | node=self.root" A; G- T. B/ s% I/ N; }; K+ U: z# E1 n
break1 R8 `% X% y& g3 c/ m9 S
else:
: B" l% q7 Z" t p* H: @ other=parent.left
% M2 I. E; @+ y/ c) j" f if other.color==RED:1 b( v* G7 p3 f8 Y7 l" H9 W
other.color=BLACK
4 m9 B1 c( R+ {5 g) A parent.color=RED3 v Z' P% e' S% N: G
self.rb_rotate_right(parent)* b v% d: A9 x0 A
other=parent.left
g& P; f0 J! b4 h0 b h if (other.left is None or other.left.color==BLACK) and (other.right is None or other.right.color==BLACK):& ~8 M8 N- S/ \3 }6 n0 k( r
other.color=RED
9 V1 \4 k) a& C- d) A node=parent
3 j* o! }3 s" X; W& ~ parent=node.parent0 B: E$ B! j0 x4 n( U
else:
$ ^6 i# l L7 f$ W7 u if other.left is None or other.left.color==BLACK:2 R* w8 E& W: F1 S0 a1 q
if other.right is not None:
3 n9 A1 s( |7 R% v' X6 @- B other.right.color=BLACK( ^: q/ {. j, i: i/ l
. T0 F0 H2 ?" m2 d* S$ m7 l. _
other.color=RED
( a- N& {4 I* n- q6 s: x9 i/ E self.rb_rotate_left(other)
8 W8 @+ l! W* r7 H8 h other=parent.left
4 W# w! r$ T8 E2 L- F# v6 N2 ? O" L3 K; a5 d1 i. ]' l% `6 Y! Q; r
other.color=parent.color
5 K6 ]: |7 b* H3 I$ \8 q parent.color=BLACK
3 |6 Z: L3 [( G% w+ g1 g( k7 a
5 o+ u0 \, Q5 j; ~) m8 M9 j if other.left is not None:
( J! {* t7 D! U, n0 a k2 p0 } v other.left.color=BLACK# z4 x9 L! N5 I& T( Z3 N
! _% x0 M/ n& c" m: R3 ]0 J3 c, k$ t% E self.rb_rotate_right(parent)
) U- ]3 _- I1 J* x7 J node=self.root) G, g& G- F5 w }8 j. D
break
+ U% A# d' C3 K( k# G, G3 E- k/ G0 x4 l6 P
% z0 i; B. _$ P3 i
4 b8 l3 s8 A4 A C if node is not None:4 t' E0 y( t: s( H. B0 r/ F1 I
node.color=BLACK 8 {* X7 R, r' I& Z ~/ t
( d" X9 I' U8 B+ L y7 j' ~/ S4 z def rb_erase(self,data):9 g; T1 k# K! c% S, w8 t
tmp_node=Node(data)0 U2 B0 R |' i0 I9 Q c
node,parent = self.rb_search_auxiliary(tmp_node). m6 A1 k9 |/ m- ^' O9 a3 N
if node is None:: f( j( r* {& ~. Y( l
print "data is not exist."0 L& E( H% T/ N7 j9 Z c3 p% E! D6 W
return# e/ i3 `2 q& ?
. m' \* a8 ^. M& E, B. A old =node
; W8 s2 {# v$ p8 Y if node.left and node.right:
6 J! P9 L/ P& T node=node.right
& x0 `5 B6 c6 K V' A+ X" ]/ W! o0 o5 }: v
left=node.left0 t' r8 E5 H& Y, N, T" M0 u8 S
while left is not None:1 |" C$ V( H5 v/ h
node =left
3 I: K: z' `9 P C left=node.left
" o' b2 E/ [) H0 M
+ x. @3 S6 F" D. x5 [: ?- H2 E child=node.right
& h% A. w, L8 k3 S0 g parent=node.parent
7 O: N" ], O% |/ x+ ]& j color=node.color/ E/ ]3 H9 {. _2 ] q1 c0 X
- p, a; D8 F i6 z( s
if child:
9 o: \4 w+ @* b+ J6 D; Y child.parent=parent0 i% c% ] \3 u0 T
if parent:
8 A) u. k1 l; U if parent.left==node:
+ M8 c% R* Z7 D# k4 w7 u6 E3 j6 e parent.left=child8 R; x N3 |5 Z0 z, s7 X
else:0 x% F. U; m4 j
parent.right=child
{% a& N) ]6 ~
9 M# |1 @. w1 g. e else:
: j0 `3 Y% V7 C6 r( T self.root=child
' ?* [/ v3 g5 d# j
+ p" r- E; w/ e; h5 Y if node.parent==old:
% S) _9 |" K, n/ g0 K parent=node
" J9 x1 ` Z7 H# d+ Y node.parent=old.parent% b0 A4 h3 x7 U9 Q' s" T+ V
node.color=old.color
2 y6 n& o6 {$ S( O node.right=old.right
: o0 Q% N* K) B9 M0 o0 e4 a- D node.left=old.left+ T% g6 M+ g9 _
- i6 ^; U( x. ]
if old.parent:* K4 s. L1 N% ?
if old.parent.left==old:5 ]6 _/ m1 u0 [
old.parent.left=node
% ~$ t0 O8 }! d) \" k' F else:
8 I4 d, ~4 g1 Y/ @3 ^ C' h/ U$ W: ?" L old.parent.right=node
& P1 D+ x" j7 w, Z else:
1 C- ?% A1 F7 r2 N, s7 Z self.root=node4 z& L* A# q3 e) P
, B$ z; J+ v7 F# Z8 e7 f/ q
old.left.parent=node
2 m. R# z, n a3 ^2 c l if old.right:/ M+ w! E8 }- ^ N) I
old.right.parent=node
1 k& W# H$ v# n
# B! V7 u3 G2 L4 o: i% D else:
1 c+ ~! ]7 E7 X# t if node.left is None:
4 R: F* m3 `0 v; j child =node.right
1 p/ b8 ~% w. ]7 s else:. {1 C5 I9 Z% j# W7 k& x
if node.left is not None:' c+ Q; ^- H, w# m/ F& \: f; c$ \
child=node.left
4 X! r! n- q1 u* K! K7 J else:
# _, g2 o# ]/ i3 D) ~# Y4 e child=None' Y7 ?2 j6 M1 y/ _" z. d3 h
parent=node.parent
5 z& H& C5 F. \# `' y color=node.color
' }# v$ N) b" M. q( [8 q if child:( ~, ]0 v1 e$ l- ?+ l
child.parent=parent- N) d/ a3 v& `
if parent:
* S+ M9 c! N7 [ if parent.left==node:
w/ z7 h( K: B, \2 X parent.left=child. W) S) r C( a) K# O- m
else:
+ H# @4 W3 ^2 I8 Y. | parent.right=child
( s% v Y! |$ \5 i else:
5 Y0 ?$ }" Q1 T3 _0 z3 J6 h6 q/ p# l | self.root=child
5 b$ N/ x+ A, \# F# d+ o
6 v; o( r% d. c3 W4 Z1 ^ if color==BLACK:# ^1 _: q# Q7 w) G8 P
0 I5 r# b; P/ q* Q2 n9 b& P- i self.rb_erase_rebalance(child,parent)
& K. }) Z4 \' A. A( D- _9 ~2 j7 @& f9 K
: k8 {" h* A* E& q- Z' O8 A
def rb_travelse(self,node):' {* B1 d4 b, ?. O3 r
if node is not None:
( q7 S% V) I2 M% m# { print str(node.data)+'\t'+str(node.color)
) _ }" R4 M$ q8 g; r self.rb_travelse(node.left)2 u3 Y7 \% P* u9 T# Z% p
if node.parent:% d0 }6 @. W& H( Y
if node.parent.color==0 and node.color==0:- [6 W2 S, q+ T7 P- P
print "error". Z0 A$ G2 n/ h/ `3 X- l
return
+ P- R- r8 F' V- v: w# s self.rb_travelse(node.right)
" m% e- C- E% p6 P& A1 ` if node.parent:
& N( i* U* h( @! ^1 o if node.parent.color==0 and node.color==0:
7 ?6 e6 h% s; x4 w E print "error"+ Y+ |5 f# H4 \2 k% Q- D
return
8 h3 K: l' D/ A; g% X( B
: P7 }8 X/ j0 g7 X8 K, V1 S return
5 Q/ C7 ~% Y( x; a5 D e
0 y# ]+ q8 ^& v2 u
/ T6 C+ a h; ?! Q$ z4 f def cmp(self,node1,node2):
2 t8 ]: A0 C& @$ t, p2 s if node1.data>node2.data :& M# e7 q% m: Z. C7 ?, e
return 1
. ~) d, d* }- R% S2 \ if node1.data==node2.data :
! `9 E+ j8 h" C! f' T return 0% t. D; M+ r& y4 K
if node1.data<node2.data:
, [9 o4 _8 W& n& t1 @ return -15 ?) _: s1 Y5 c4 e* m! ?4 y
- u1 F) U# T. V
if __name__=="__main__":
+ k/ [; T9 _1 c/ H print "main"
' L$ v; J- i0 m; }/ {' z data=[28,6,39,78,6,43,61,56,71,38]+ x+ d2 p# A& D7 n" A! K2 o, Q
#for i in range(10):! m# P( k c1 [
# rand_num = random.randint(0, 100)
: a8 \: H2 \& Z # data.append(rand_num)
# \+ }% ]( i" { #print data2 U: R4 A) [% j$ s( s
t=RBtree()
# t( J6 q+ r% r- d, ]7 \
4 P: b, b5 [1 @; b9 N! G0 X6 v7 z7 g( Y, j( ?* _
for i in range(10):
6 P2 Z8 ]/ y/ l/ @8 w$ h3 N. ? t.rb_insert(data[i])8 {9 l7 c- ?- s+ X6 b8 [
* y! R- n4 a* \+ x- t
9 V3 u9 I& C( q$ g* Y6 `/ U
t.rb_travelse(t.root)- D9 G- X5 r" a/ R4 T2 ^
8 E c0 Z0 D7 |) ? print "---------------------------------"
# h( u! A) m* j% S% n7 a2 ? t.rb_erase(data[7])3 q4 w8 s/ k8 `) p9 R6 L
6 Y3 R. L$ E6 s1 f t.rb_travelse(t.root)
- ~ i. o6 b2 f% o- V3 ~: f2 l! C1 a, w, q; v
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