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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
% W7 i3 ]) `7 c8 Q5 K# -*- coding : utf-8 -*-
1 L# o0 e/ Y7 F1 m# k4 U5 s+ C! B8 [1 x
import os
. T# P& a Q" D Simport random
' T1 X; z1 ?/ u$ D2 `) b
( T2 G! J# F, G4 uRED = 0) A9 q0 K. _/ ~2 N# [; i
BLACK = 1
7 {, x2 t" Q0 t0 C" ^( j$ E5 G5 q" D
class Vector(object):
S+ G8 a+ U Y$ |% k9 q def __init__(self,x=None,y=None):
0 x1 M- k0 Q, g4 {! ] self.x=x4 P! m L1 n1 v5 U1 f7 | K! A8 t
self.y=y; d( \# \& @: s# |& }& p0 P
+ g' g; z: I8 `" P) I. @0 B
class Node(object):
$ R6 C$ \$ \- d8 ~ """docstring for Node"""
1 [9 J4 z3 k) y def __init__(self,data=None,color=RED,left=None,right=None,parent=None):
" b, e; _. O/ U8 P self.data = data* q) Q0 m" y. g: H
self.color = color
% g0 W( P3 P- X" ^7 L self.left = left+ n) B6 l7 w2 x: w4 N, \& u
self.right = right
( s& U) P( O6 r' l* e" P self.parent = parent
) U9 P# O- W6 |6 T0 j; E2 y6 _$ e0 s7 g& P Z1 N% @
class RBtree(object):
+ s9 y5 S9 Z* F1 L6 Q/ C def __init__(self):2 p; D4 Z& I. t. {3 M* Q8 Z
self.root=None. ], t/ p# }5 L/ i; u5 e+ g
self.size=0. m! [" }+ L- V( O( r, l+ z) Z
2 u u* K0 |+ V. `/ M def rb_rotate_left(self,node):
$ I& q6 r2 l( K5 D0 h1 N6 n' W0 |* a right=node.right
4 Q. w2 S( U+ W' V6 T, y8 r- O! Q* p. x& ^
node.right=right.left5 ]- T7 ]0 d& B
if node.right is not None:$ {- x# Z: m1 n8 P" N+ e
right.left.parent=node# T* z; C% m2 X7 W6 ~
+ M, b# P5 g: M3 R" S8 t right.left=node1 Y2 u$ t- h f) W# h
right.parent=node.parent, ?! F8 U" x8 z" W' W7 |0 j
: y& N1 ?5 j4 Q) ^% ^( h if right.parent is None:( W* Q9 h6 P6 h k; v3 E% Z
) n7 m$ i: q/ W$ u8 p
self.root=right
" {: Y6 K2 h! H2 V7 } else:
9 ?2 p- M9 ?" y' f! `, e2 Q5 k if node==node.parent.right:
* b0 V4 p2 J8 K8 D: A# R2 O6 H node.parent.right=right
; K) v9 }( T# v- F else:( x; |: p9 A( k$ n
node.parent.left=right
! ]7 N; n( }7 G+ m8 n. k node.parent =right
2 D4 r" U- \1 D$ F0 @, Y: f+ j9 h) N* a5 ]
2 v) A6 n: b& e- y def rb_rotate_right(self,node):
/ E# S$ c3 c/ i9 J4 d left=node.left
^. a* S" c8 {3 Y# U node.left=left.right
; d& c! _/ ~6 n0 ]6 i4 a9 \4 ?2 h5 t' ]1 N/ \* ~
if node.left is not None:
5 f# c/ [9 v; I: D, u" t7 E left.right.parent=node) S1 V$ ?. c: G" D: e7 L& ~1 r
& M) F! K9 @1 f) s: e8 M& X: Y left.right=node
; u% V: T$ s$ E2 ~6 C c left.parent=node.parent
8 ^0 q: a- C7 H" Z0 f1 r2 M3 ?4 m; r+ u" [3 |
if left.parent is None:
& r% |" Z6 v2 _5 r/ @ self.root=left# \) ?7 ]4 X8 ^; B2 @ J* \: |9 O
else:
5 E$ Z* @$ ^" {) b if node==node.parent.right:9 n5 y% u }' [9 z& `) } G
node.parent.right=left o: l4 [/ i. F% ]: S% {8 I
else:3 z I+ Q" F6 Q
node.parent.left=left
0 Y( T- @- k- T0 V! S. I! x! l8 u node.parent=left
7 M1 v2 ]; _7 @7 L* a1 j/ O) {9 i, h% V3 K8 O& t: `3 j. N0 f; ^' C
def rb_insert_rebalance(self,node):$ [: f6 X+ t; c) d
parent=node.parent
) l/ y* {% R, h Z* i+ Q, ]% G while parent and parent.color==RED:8 s0 Q. z: F6 S4 O! _+ R
gparent = parent.parent
' U" {9 U- T% @4 @3 F if parent==gparent.left:
% t/ j2 L& u0 q0 W; {, i uncle=gparent.right9 B. Z `$ a! X" S3 [3 P
if uncle and uncle.color==RED:9 w$ x; ]" L0 X9 G' a" b
uncle.color=BLACK1 l$ v. B/ Z3 j" W) S
parent.color=BLACK
3 \6 f$ L L* d; c- `0 D2 P gparent.color=RED8 U% a Q% X6 D: X S
node=gparent
' Y" @0 }; d8 b9 J% \! U else:& t) C$ z' L+ ~! Y- d$ }+ |5 G
if parent.right==node:2 N9 G; t/ Y/ o$ K
self.rb_rotate_left(parent)
7 g8 `4 e, k9 K1 a8 |/ L tmp=parent6 x) B( z. P& l
parent=node
G t& D+ O/ G node=tmp
7 t; N( I1 A7 J9 x& x parent.color=BLACK
1 E2 f$ o& C. D! m ^% s gparent.color=RED
* ?9 t1 b/ U; E o
3 a3 v% `5 Q. G6 @. G self.rb_rotate_right(gparent)
* W7 M* t- [& M- Y) |# v% x: s$ R/ z2 ~5 f! m4 k9 H
if uncle:5 g7 ]" F1 Q. ~
if uncle.right:
8 O/ ?4 m" |& ^+ B4 ? node=uncle.right
1 [1 O4 e, E# z2 ?& y else:2 h' y* o8 B Z4 B! {" G" e q
uncle=gparent.left0 x+ a. i P: Z
if uncle and uncle.color==RED:2 K6 U3 V+ v, k. X
uncle.color=BLACK! {* N" o( G1 B) _" V& a+ U/ `/ @
parent.color=BLACK
) k0 a, p! u/ V/ ~ X8 T gparent.color=RED( P/ ?1 l7 L- X! p) e
node=gparent
- U. x/ B, y' @6 ^1 X5 |: r: F else: K- `4 r9 ?; f
if parent.left==node:
2 A5 l3 e. h8 Y$ V& P3 f+ G self.rb_rotate_right(parent)
3 I! y" I7 C5 Y5 U+ U0 _7 n& d tmp=parent
: [/ ]6 a3 m9 Y- P parent=node
4 Q8 I d4 l v% Q3 ^$ @, g node=tmp" F0 c0 z( ]! H3 F' h
parent.color=BLACK
\5 b5 ]+ B. j) _. k( r gparent.color=RED
7 |$ \8 B, u, Y: w self.rb_rotate_left(gparent)
0 i8 m( w& {( j' s" ~9 }; w" ~2 Z6 E' R0 ~" h# o' x
if uncle:0 c, _$ J! _- K7 r# v6 Z' \2 q
if uncle.left:
, ]( V U3 F* S' ] node=uncle.left
8 m# E$ ~7 Y" w parent=node.parent y6 ^, r, U: M5 v8 w$ }) \. S
7 s( V7 Q3 p, ~
# x0 Q: x* a4 E6 S0 }, U
self.root.color=BLACK
! }5 n$ K/ R4 V! @/ z e* ?1 n 9 h2 e- Y ?8 D* d# S( ]1 y
, d% c, P1 @( v8 [- `( [ def rb_search_auxiliary(self,node):- s8 O) x3 b7 h! W4 [3 N
tmp=self.root) n9 y! v/ k5 j2 m: u5 k0 X- b
parent=None
( U9 U. L v$ D2 |/ h5 S while tmp is not None:
5 L: W" w( H0 y$ S9 x1 Z- I parent=tmp
' f6 C5 t3 l' \& h# F( ~ cmp=self.cmp(node,tmp)
( N, g z% V; u0 a' S5 L if cmp<0:2 |" ~, R3 E6 r) Q% q; g2 g
tmp=tmp.left
* j7 ]# v4 ~- a2 X+ X else: Z6 W) K( Z; a# ^
if cmp>0:! K0 L1 [' p" M
tmp=tmp.right% E4 C- \+ _9 I
else:
1 u# n. _# F6 ], t) r7 e- C7 i return tmp,parent
2 |7 n7 [6 i* n. D! U) k/ }( U/ i+ `; e
return None,parent, k. X( F' V2 i3 j9 \: r
7 D' G3 e( Y9 R! [5 r' [
def rb_insert(self,data):
1 J6 h5 }2 d3 @# ~5 c5 q, F tmp=None% ]% |3 N. T3 f( v' q2 t( _( q4 Q
node=Node(data)
; B! s9 |9 [* h& d1 g tmp,parent=self.rb_search_auxiliary(node). D0 n! O; Z1 y5 j/ o* [
) Q+ o- C4 @( Q( I# P" V
if tmp is not None:7 z' O* E. h; t+ m- L/ D
return # i# M8 w4 l/ y! l, s2 M% O
6 s/ A$ W1 u% F
node.parent =parent
4 L5 T5 B8 X# A- W node.left=node.right=None
& }8 P4 @, n4 @! O% u6 _) I8 x4 F node.color=RED
$ r/ T( D* i3 C( p5 Q# z, g8 f
6 f9 q( C2 p8 o9 p: [ if parent is not None:8 z: o+ c. y8 v! E) H
* @" Z+ D& \3 `( l2 e& \ A, H
if self.cmp(parent,node)>0:
2 t* o. d' ^) w0 s parent.left=node
$ }5 _& M5 M/ f% V else:
, U t2 s# I: z1 V _ parent.right=node/ S2 ~, o4 |- l2 c0 Z+ C
else:. Z3 Y4 b. \, p& o* A/ D: ]
self.root=node* W1 `0 L# q, ]: z# w8 \8 `
return self.rb_insert_rebalance(node)) Z+ e8 |, f+ n% T) _+ H
9 f9 J! ]( P2 w8 j' A/ M
def rb_erase_rebalance(self,node,parent):7 C4 `" \( v7 W
while((node is None or node.color==BLACK)and node !=self.root):
; ?8 {; R6 r# J- |9 _0 h; e) y7 s if parent.left==node:& q4 w+ Q1 s, X8 V
other=parent.right n2 i' P6 \8 C% {
if other.color==RED:4 p, D( C8 H9 S7 A2 }; s
other.color=BALCK
9 @) M. M9 l) z8 z+ X8 P parent.color=RED7 O& L: S1 E5 P
self.rb_rotate_left(parent); Z" r e# g d% l0 z4 S
other=parent.right
1 [9 R3 G/ V1 t' F/ ?/ w8 w if (other.left is None or other.left.color==BLACK) and (other.right is None or other.right.color ==BLACK):
% A) g' V- K X: j other.color=RED' H$ ?1 c4 L) u3 T
node=parent2 P* N" M W* K/ H- t
parent=node.parent% n" i$ n- Z. H6 X. ` j" W3 G
else:
: I7 X" Q* m, a% y if other.right is None or other.right.color==BLACK:
0 U+ o4 |+ _ v' O6 h, }) }0 Q5 F6 T1 d
if other.left is not None:
: \; g/ I5 S5 i other.left.color=BLACK. q3 S C4 G$ d; H+ z7 J
other.color=RED
: B; v2 `- A1 Q- n5 A# `: ? self.rb_rotate_right(other)2 B/ e; l6 l; O, p) L# v- l; L
other=parent.right
1 t' G9 w$ g% y' F1 o6 b( z) u+ o9 |. C# S6 w X6 T; g
other.color=parent.color
! v$ @6 F5 R! [. o parent.color=BLACK4 |" j$ x9 {* I2 O3 E, o6 N
if other.right is not None:
/ `9 C% C+ I! U: C other.right.color=BLACK
7 @5 u, o/ j5 T" q* k7 a! | self.rb_rotate_left(parent)5 S% u* C4 p/ u0 \3 y: U5 h7 o' ]
node=self.root
- A1 U9 g* Q+ v7 r. v. N0 f# T) r break4 y. ]5 H/ w: }' Y% ~$ `
else:
1 @' W W( Y2 h1 b5 ~( r; T! C other=parent.left
; [1 M. [% ]* H9 |8 M if other.color==RED:+ ]6 G; ~9 x% G1 Z# i
other.color=BLACK
% j4 [. b( W9 ]; S% ` parent.color=RED
* d' W0 q8 a X( f; @: @ self.rb_rotate_right(parent)% K% j7 S$ ], {# L
other=parent.left
, e3 }7 u) P) u* i if (other.left is None or other.left.color==BLACK) and (other.right is None or other.right.color==BLACK):# J7 s g9 j0 k0 m; ^
other.color=RED+ Q" y5 S6 n; w5 G3 k
node=parent H5 @ n# _( Q6 u
parent=node.parent! H- N9 }8 E% H$ `" t6 a
else:) ^, x1 {3 k( k) Y" c1 I. E
if other.left is None or other.left.color==BLACK:: L, {9 m( F$ y
if other.right is not None:
2 S: d: E' H3 C$ z/ ] [4 s other.right.color=BLACK- |1 ~/ w% U2 V* h% I( v
& n. ?% X2 A4 H( H1 R( R other.color=RED% d4 o: a- g& i E
self.rb_rotate_left(other)
" g, {+ P% X0 E1 |& z7 t other=parent.left/ w# d, f5 o: c$ Z) T
7 ^2 `! r# b4 R& M
other.color=parent.color2 K# y/ A4 \+ j5 G- o1 o, A, c, d8 u
parent.color=BLACK; G, `4 S H5 j: o& s7 J
7 m; B: t; t4 ^# |1 k( v& x if other.left is not None:
) E) N+ ]/ k9 l, C other.left.color=BLACK1 R! D! }% q: D" }. [- t; T' U8 p
2 d) r$ `- C! i# T$ t- H$ w
self.rb_rotate_right(parent)
5 @7 n( m) ^1 W2 [3 t node=self.root
% k' o) Q: W$ c5 _7 E5 U break
- B, O" i! y5 ^0 A1 n
3 A) t3 D# m) E% T' P
4 Q% T& i) ~: R! |2 |. s& @
8 Z% }- w3 Z2 d* X/ D if node is not None:9 A P, h' [" a6 K" _9 ~9 Y: w% R
node.color=BLACK 4 Y; K* x; p8 H) `9 s0 N
& y& s8 Z P. N& O
def rb_erase(self,data):4 G3 ^) F% h; [% C0 ]) Q: R
tmp_node=Node(data)
+ \" Y% q9 P! z1 C5 \5 P node,parent = self.rb_search_auxiliary(tmp_node)1 x9 i8 U6 Z: ?0 G) \
if node is None:
2 y: | f+ }$ V' W/ x2 e& n N print "data is not exist."
% w9 B# W# `& {$ D F return
. k2 ~( m5 Y, b ~& ~6 a0 n6 ?) a" y
old =node
7 z C5 l0 q. q" ~2 V if node.left and node.right:
2 v) W% ~# ^7 p/ d node=node.right
% |% c& R8 @4 T2 }" I8 S! u! a3 W$ S* [ T9 e' b
left=node.left/ V! M, v+ `9 F3 l% i8 [0 k
while left is not None:
" L4 M( b# i2 ~: v% s Z node =left7 @/ d1 O1 P( y/ t6 K/ i9 ?
left=node.left& j+ q0 N+ ]& K. |& \
& F' P8 y% Z- `
child=node.right
) B7 ~4 n/ r& k- z1 Q% r parent=node.parent' R+ i' t' o( M4 B: D% L) g
color=node.color/ p- Z/ i$ }, a# w& r2 a H
1 f# E8 v5 D$ S' M1 K8 p
if child:0 ~8 S3 E7 ~0 b0 V: X+ O
child.parent=parent
( b* z2 G: M3 A' [. O5 O. E1 d7 i if parent:
! `' Q5 p, w$ T- R2 W3 t if parent.left==node:
* t9 k7 y% _! q! @1 k" m# d parent.left=child2 Y+ j& {. \) ~" ~: G: u
else:6 G4 b0 X5 R8 D+ P6 C4 ^+ P
parent.right=child& s6 h7 Q+ c. ~
( V2 y, e/ a% O8 [; R/ a
else:+ `0 y8 j9 K* T! V
self.root=child
: u8 n! P# m* i2 e6 s
" L6 c4 u. M' B. Y- ~. F' e/ e1 z if node.parent==old:4 \/ A: ~4 y$ w! D j
parent=node: U2 T' Y! M$ ]+ k* Y# T
node.parent=old.parent! B/ }- c' B1 }, c/ w
node.color=old.color
9 T! c2 u& L, G. G node.right=old.right6 h( w% n4 M) a) _+ c
node.left=old.left
Q" L6 m2 W: H! h$ X- X4 L' P5 R& p5 f6 s2 l8 S3 X
if old.parent:0 ~- P$ J0 E, q7 y
if old.parent.left==old:: ?* i7 R# y( C* Q$ P) r
old.parent.left=node
/ G8 t( p$ C6 [ else:( \" I! m" E1 P( w& {2 n. {
old.parent.right=node
' i) g$ s% u* p9 j1 @7 S7 F' R1 w. z else:
" n- k& f9 d: M0 m$ L self.root=node6 b% c1 c" R. F0 Q3 a6 w
# f; g( W! _9 {" k1 @
old.left.parent=node
* v* `3 S/ G, u if old.right:/ D6 @4 F; F; r! k9 C% t9 e
old.right.parent=node) j! a$ O/ G7 Z
2 ^$ F# x& L" N3 |7 g; I" }, F" c else:
+ @6 f% x% Q7 ~" u+ q if node.left is None:( @9 G4 ^6 k# B
child =node.right
" W1 d. E L: J9 l' n$ U: _ else:
" L7 F3 Q: [) Y9 E9 V( o if node.left is not None:
% w% J' D7 @; `$ p) d) Y( r0 I child=node.left7 ~; i) G& i7 G9 E3 H! v/ E
else:. f9 W" I6 \7 q8 ~7 k
child=None2 c' a) `9 E1 n3 P+ _
parent=node.parent
" J6 k) X0 D, J. i( K color=node.color
! Z' q# j: `, l' j6 e$ Y if child:( N' k0 G, f6 _
child.parent=parent
* l) ?8 g6 j- O" p- e if parent:
( @9 f+ D8 U" E, }0 S if parent.left==node:
9 o* J2 G: f R5 D parent.left=child$ y; y X7 y& E) U* ~5 ~
else:
& H8 G" ]* }! g, b- R parent.right=child- Y* z+ m1 u# a; L' ^: l, b
else:; k1 N& F# W4 T8 h) R* l( C
self.root=child9 Z" f& N. {- I6 Q% h
% R' s' R# C7 A5 c/ g( L: c
if color==BLACK:) X: f0 m, |6 M( S( n/ X2 J
" G' h! Z. \* X, {* q self.rb_erase_rebalance(child,parent)
/ T9 `# Z6 ?. W" n/ j& `7 e6 m/ l* A3 H% P5 }) z# |
b* A+ j% W4 P' d9 P
def rb_travelse(self,node):7 b8 i' ~- M3 I v/ j
if node is not None:
; g) R9 x5 p& n" N3 n& c print str(node.data)+'\t'+str(node.color)" A, Q7 |- F. y$ i
self.rb_travelse(node.left). T/ b9 E- E8 N$ F; j
if node.parent:
! b' r0 Z! R1 j. M5 ]6 G* n; u if node.parent.color==0 and node.color==0:0 X. b) u1 M8 \9 C+ s
print "error"+ M9 V$ h! F0 q. J5 P. l0 |5 Y% a
return
& U/ w% v4 J. u: M# o( k% P self.rb_travelse(node.right); R4 N# A" S, y5 W0 A8 @
if node.parent:
7 r& p1 C/ y, z) v if node.parent.color==0 and node.color==0:4 h% ^ E2 F z3 |1 K; r
print "error"
2 N3 o- V% {* G( `; p, m return! ~" ]) R N" \$ X) B1 H
- l) Q* H1 o% n9 P6 C
return
5 A7 u3 t) V. l& F8 z2 n
n$ W% g7 k! s8 C+ W4 i - x% n. v. |2 Y1 ]5 t
def cmp(self,node1,node2):
/ N" _1 t+ b# m3 z+ m if node1.data>node2.data :
4 g$ M8 B4 P2 x4 F return 1
4 b$ B- g% a; u$ ^ if node1.data==node2.data :9 i; j5 @! P: o! A T+ u
return 0
$ ^% `9 e$ x. u* o: s7 J if node1.data<node2.data:& T7 I7 W V2 q# ?0 `: N2 g. V
return -1# ~" P- [/ q, t& q6 s1 v
$ P& Y" b4 C9 ]: m7 }/ l
if __name__=="__main__":/ C! ^( c! ?( T% T, ^% D
print "main"
' d, [6 f5 G# U' U# h2 M# L data=[28,6,39,78,6,43,61,56,71,38]
( U% a- ~2 {, I& n- }9 ]! v #for i in range(10):2 v) Y+ n$ m( U9 ~
# rand_num = random.randint(0, 100)4 j7 e1 V1 W+ g4 B
# data.append(rand_num). u$ k& Q" U9 S7 {! a& F
#print data
3 N' l: ^+ g# }8 v0 y# N1 l5 n t=RBtree()
" D8 Y0 i4 D$ }% v0 t3 b0 v. x/ L/ L8 o
8 x: i1 W' o! T2 Q, F
for i in range(10):
% F. o: d/ S& G+ u8 [ t.rb_insert(data[i])
. p( V, l' |' S) s. L2 G
, N0 Z7 `2 Z, Z0 v! `2 D e/ G; k: A4 k0 a8 E9 V# `1 `! y- F6 E8 [
t.rb_travelse(t.root)8 E; _2 Z1 r* O+ m+ w/ {, `
5 m, \ o4 h6 \* u print "---------------------------------"
: W* k$ m! L% X% s! b( Q8 V t.rb_erase(data[7]); {% k2 ^2 k/ o
) ?5 t( `2 y0 }7 f$ F
t.rb_travelse(t.root) a( {, z6 i% U) h8 P; u; o) h
! D2 _" f* z. Y! M* c3 D
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zan
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