标签：
通过具体分析每一步的操作来理解插入过程，将每一步操作之后的树结构打印出来可以帮助我们理解，在图中"#"表示黑色，"~"表示红色，空结点(NULL)都为黑色，但是没有被打印出来，看图像的时候注意一下就可以了。
下面将整个过程贴出来，所有的步骤都是通过程序实现的。
Inserting 61 -----------------------------------------------------
case 1 <61> (若当前结点是根结点,则将其颜色设置为黑色) :
~61~
result:
#61#
Inserting 9 -----------------------------------------------------
case 1 <9> (若当前结点是根结点,则将其颜色设置为黑色) :
_#61#
|
~9~
case 2 <9> (若该结点的父结点是黑色,则依然有效并返回) :
_#61#
|
~9~
result:
_#61#
|
~9~
Inserting 267 -----------------------------------------------------
case 1 <267> (若当前结点是根结点,则将其颜色设置为黑色) :
_#61#_
| |
~9~ ~267~
case 2 <267> (若该结点的父结点是黑色,则依然有效并返回) :
_#61#_
| |
~9~ ~267~
result:
_#61#_
| |
~9~ ~267~
Inserting 107 -----------------------------------------------------
case 1 <107> (若当前结点是根结点,则将其颜色设置为黑色) :
_#61#______
| |
~9~ _~267~
|
~107~
case 2 <107> (若该结点的父结点是黑色,则依然有效并返回) :
_#61#______
| |
~9~ _~267~
|
~107~
case 3 <107> (若结点的叔父结点(和父亲)是红色，则将叔父和父亲都变成黑色，将祖父变成红色并转到case 1) :
_#61#______
| |
~9~ _~267~
|
~107~
case 1 <61> (若当前结点是根结点,则将其颜色设置为黑色) :
_~61~______
| |
#9# _#267#
|
~107~
result:
_#61#______
| |
#9# _#267#
|
~107~
Inserting 301 -----------------------------------------------------
case 1 <301> (若当前结点是根结点,则将其颜色设置为黑色) :
_#61#______
| |
#9# _#267#_
| |
~107~ ~301~
case 2 <301> (若该结点的父结点是黑色,则依然有效并返回) :
_#61#______
| |
#9# _#267#_
| |
~107~ ~301~
result:
_#61#______
| |
#9# _#267#_
| |
~107~ ~301~
Inserting 173 -----------------------------------------------------
case 1 <173> (若当前结点是根结点,则将其颜色设置为黑色) :
_#61#___________
| |
#9# ______#267#_
| |
~107~_ ~301~
|
~173~
case 2 <173> (若该结点的父结点是黑色,则依然有效并返回) :
_#61#___________
| |
#9# ______#267#_
| |
~107~_ ~301~
|
~173~
case 3 <173> (若结点的叔父结点(和父亲)是红色，则将叔父和父亲都变成黑色，将祖父变成红色并转到case 1) :
_#61#___________
| |
#9# ______#267#_
| |
~107~_ ~301~
|
~173~
case 1 <267> (若当前结点是根结点,则将其颜色设置为黑色) :
_#61#___________
| |
#9# ______~267~_
| |
#107#_ #301#
|
~173~
case 2 <267> (若该结点的父结点是黑色,则依然有效并返回) :
_#61#___________
| |
#9# ______~267~_
| |
#107#_ #301#
|
~173~
result:
_#61#___________
| |
#9# ______~267~_
| |
#107#_ #301#
|
~173~
Inserting 129 -----------------------------------------------------
case 1 <129> (若当前结点是根结点,则将其颜色设置为黑色) :
_#61#________________
| |
#9# ___________~267~_
| |
#107#______ #301#
|
_~173~
|
~129~
case 2 <129> (若该结点的父结点是黑色,则依然有效并返回) :
_#61#________________
| |
#9# ___________~267~_
| |
#107#______ #301#
|
_~173~
|
~129~
case 3 <129> (若结点的叔父结点(和父亲)是红色，则将叔父和父亲都变成黑色，将祖父变成红色并转到case 1) :
_#61#________________
| |
#9# ___________~267~_
| |
#107#______ #301#
|
_~173~
|
~129~
case 4 <129> (若父亲是红色,叔父是黑色，当前结点和父结点的左右位置不同:) :
_#61#________________
| |
#9# ___________~267~_
| |
#107#______ #301#
|
_~173~
|
~129~
case 4 handle1: 若当前结点是左子结点，父结点是右子结点，则右旋父结点,下次处理旋转后右子结点:
右旋: 173
_#61#________________
| |
#9# ___________~267~_
| |
#107#_ #301#
|
~129~_
|
~173~
case 5 <173> (若父亲是红色,叔父是黑色，当前结点和父结点的左右位置相同: ) :
_#61#________________
| |
#9# ___________~267~_
| |
#107#_ #301#
|
~129~_
|
~173~
case 5 handle1: 将父结点设置为黑色,祖父设为红色:
_#61#________________
| |
#9# ___________~267~_
| |
~107~_ #301#
|
#129#_
|
~173~
case 5 handle2: 若当前结点和父结点是右子结点，则左旋祖父结点:
左旋: 107
_#61#________________
| |
#9# ______~267~_
| |
_#129#_ #301#
| |
~107~ ~173~
result:
_#61#________________
| |
#9# ______~267~_
| |
_#129#_ #301#
| |
~107~ ~173~
Inserting 232 -----------------------------------------------------
case 1 <232> (若当前结点是根结点,则将其颜色设置为黑色) :
_#61#_____________________
| |
#9# ___________~267~_
| |
_#129#_ #301#
| |
~107~ ~173~_
|
~232~
case 2 <232> (若该结点的父结点是黑色,则依然有效并返回) :
_#61#_____________________
| |
#9# ___________~267~_
| |
_#129#_ #301#
| |
~107~ ~173~_
|
~232~
case 3 <232> (若结点的叔父结点(和父亲)是红色，则将叔父和父亲都变成黑色，将祖父变成红色并转到case 1) :
_#61#_____________________
| |
#9# ___________~267~_
| |
_#129#_ #301#
| |
~107~ ~173~_
|
~232~
case 1 <129> (若当前结点是根结点,则将其颜色设置为黑色) :
_#61#_____________________
| |
#9# ___________~267~_
| |
_~129~_ #301#
| |
#107# #173#_
|
~232~
case 2 <129> (若该结点的父结点是黑色,则依然有效并返回) :
_#61#_____________________
| |
#9# ___________~267~_
| |
_~129~_ #301#
| |
#107# #173#_
|
~232~
case 3 <129> (若结点的叔父结点(和父亲)是红色，则将叔父和父亲都变成黑色，将祖父变成红色并转到case 1) :
_#61#_____________________
| |
#9# ___________~267~_
| |
_~129~_ #301#
| |
#107# #173#_
|
~232~
case 4 <129> (若父亲是红色,叔父是黑色，当前结点和父结点的左右位置不同:) :
_#61#_____________________
| |
#9# ___________~267~_
| |
_~129~_ #301#
| |
#107# #173#_
|
~232~
case 4 handle1: 若当前结点是左子结点，父结点是右子结点，则右旋父结点,下次处理旋转后右子结点:
右旋: 267
_#61#______
| |
#9# _~129~___________
| |
#107# ______~267~_
| |
#173#_ #301#
|
~232~
case 5 <267> (若父亲是红色,叔父是黑色，当前结点和父结点的左右位置相同: ) :
_#61#______
| |
#9# _~129~___________
| |
#107# ______~267~_
| |
#173#_ #301#
|
~232~
case 5 handle1: 将父结点设置为黑色,祖父设为红色:
_~61~______
| |
#9# _#129#___________
| |
#107# ______~267~_
| |
#173#_ #301#
|
~232~
case 5 handle2: 若当前结点和父结点是右子结点，则左旋祖父结点:
左旋: 61
______#129#___________
| |
_~61~_ ______~267~_
| | | |
#9# #107# #173#_ #301#
|
~232~
result:
______#129#___________
| |
_~61~_ ______~267~_
| | | |
#9# #107# #173#_ #301#
|
~232~
Inserting 211 -----------------------------------------------------
case 1 <211> (若当前结点是根结点,则将其颜色设置为黑色) :
______#129#________________
| |
_~61~_ ___________~267~_
| | | |
#9# #107# #173#______ #301#
|
_~232~
|
~211~
case 2 <211> (若该结点的父结点是黑色,则依然有效并返回) :
______#129#________________
| |
_~61~_ ___________~267~_
| | | |
#9# #107# #173#______ #301#
|
_~232~
|
~211~
case 3 <211> (若结点的叔父结点(和父亲)是红色，则将叔父和父亲都变成黑色，将祖父变成红色并转到case 1) :
______#129#________________
| |
_~61~_ ___________~267~_
| | | |
#9# #107# #173#______ #301#
|
_~232~
|
~211~
case 4 <211> (若父亲是红色,叔父是黑色，当前结点和父结点的左右位置不同:) :
______#129#________________
| |
_~61~_ ___________~267~_
| | | |
#9# #107# #173#______ #301#
|
_~232~
|
~211~
case 4 handle1: 若当前结点是左子结点，父结点是右子结点，则右旋父结点,下次处理旋转后右子结点:
右旋: 232
______#129#________________
| |
_~61~_ ___________~267~_
| | | |
#9# #107# #173#_ #301#
|
~211~_
|
~232~
case 5 <232> (若父亲是红色,叔父是黑色，当前结点和父结点的左右位置相同: ) :
______#129#________________
| |
_~61~_ ___________~267~_
| | | |
#9# #107# #173#_ #301#
|
~211~_
|
~232~
case 5 handle1: 将父结点设置为黑色,祖父设为红色:
______#129#________________
| |
_~61~_ ___________~267~_
| | | |
#9# #107# ~173~_ #301#
|
#211#_
|
~232~
case 5 handle2: 若当前结点和父结点是右子结点，则左旋祖父结点:
左旋: 173
______#129#________________
| |
_~61~_ ______~267~_
| | | |
#9# #107# _#211#_ #301#
| |
~173~ ~232~
result:
______#129#________________
| |
_~61~_ ______~267~_
| | | |
#9# #107# _#211#_ #301#
| |
~173~ ~232~
Inserting 122 -----------------------------------------------------
case 1 <122> (若当前结点是根结点,则将其颜色设置为黑色) :
___________#129#________________
| |
_~61~_ ______~267~_
| | | |
#9# #107#_ _#211#_ #301#
| | |
~122~ ~173~ ~232~
case 2 <122> (若该结点的父结点是黑色,则依然有效并返回) :
___________#129#________________
| |
_~61~_ ______~267~_
| | | |
#9# #107#_ _#211#_ #301#
| | |
~122~ ~173~ ~232~
result:
___________#129#________________
| |
_~61~_ ______~267~_
| | | |
#9# #107#_ _#211#_ #301#
| | |
~122~ ~173~ ~232~
Inserting 28 -----------------------------------------------------
case 1 <28> (若当前结点是根结点,则将其颜色设置为黑色) :
___________#129#________________
| |
_____~61~_ ______~267~_
| | | |
#9#_ #107#_ _#211#_ #301#
| | | |
~28~ ~122~ ~173~ ~232~
case 2 <28> (若该结点的父结点是黑色,则依然有效并返回) :
___________#129#________________
| |
_____~61~_ ______~267~_
| | | |
#9#_ #107#_ _#211#_ #301#
| | | |
~28~ ~122~ ~173~ ~232~
result:
___________#129#________________
| |
_____~61~_ ______~267~_
| | | |
#9#_ #107#_ _#211#_ #301#
| | | |
~28~ ~122~ ~173~ ~232~
Inserting 82 -----------------------------------------------------
case 1 <82> (若当前结点是根结点,则将其颜色设置为黑色) :
_______________#129#________________
| |
_____~61~_____ ______~267~_
| | | |
#9#_ _#107#_ _#211#_ #301#
| | | | |
~28~ ~82~ ~122~ ~173~ ~232~
case 2 <82> (若该结点的父结点是黑色,则依然有效并返回) :
_______________#129#________________
| |
_____~61~_____ ______~267~_
| | | |
#9#_ _#107#_ _#211#_ #301#
| | | | |
~28~ ~82~ ~122~ ~173~ ~232~
result:
_______________#129#________________
| |
_____~61~_____ ______~267~_
| | | |
#9#_ _#107#_ _#211#_ #301#
| | | | |
~28~ ~82~ ~122~ ~173~ ~232~
Inserting 287 -----------------------------------------------------
case 1 <287> (若当前结点是根结点,则将其颜色设置为黑色) :
_______________#129#________________
| |
_____~61~_____ ______~267~______
| | | |
#9#_ _#107#_ _#211#_ _#301#
| | | | | |
~28~ ~82~ ~122~ ~173~ ~232~ ~287~
case 2 <287> (若该结点的父结点是黑色,则依然有效并返回) :
_______________#129#________________
| |
_____~61~_____ ______~267~______
| | | |
#9#_ _#107#_ _#211#_ _#301#
| | | | | |
~28~ ~82~ ~122~ ~173~ ~232~ ~287~
result:
_______________#129#________________
| |
_____~61~_____ ______~267~______
| | | |
#9#_ _#107#_ _#211#_ _#301#
| | | | | |
~28~ ~82~ ~122~ ~173~ ~232~ ~287~
Inserting 54 -----------------------------------------------------
case 1 <54> (若当前结点是根结点,则将其颜色设置为黑色) :
_______________#129#________________
| |
_________~61~_____ ______~267~______
| | | |
#9#_ _#107#_ _#211#_ _#301#
| | | | | |
~28~_ ~82~ ~122~ ~173~ ~232~ ~287~
|
~54~
case 2 <54> (若该结点的父结点是黑色,则依然有效并返回) :
_______________#129#________________
| |
_________~61~_____ ______~267~______
| | | |
#9#_ _#107#_ _#211#_ _#301#
| | | | | |
~28~_ ~82~ ~122~ ~173~ ~232~ ~287~
|
~54~
case 3 <54> (若结点的叔父结点(和父亲)是红色，则将叔父和父亲都变成黑色，将祖父变成红色并转到case 1) :
_______________#129#________________
| |
_________~61~_____ ______~267~______
| | | |
#9#_ _#107#_ _#211#_ _#301#
| | | | | |
~28~_ ~82~ ~122~ ~173~ ~232~ ~287~
|
~54~
case 4 <54> (若父亲是红色,叔父是黑色，当前结点和父结点的左右位置不同:) :
_______________#129#________________
| |
_________~61~_____ ______~267~______
| | | |
#9#_ _#107#_ _#211#_ _#301#
| | | | | |
~28~_ ~82~ ~122~ ~173~ ~232~ ~287~
|
~54~
case 5 <54> (若父亲是红色,叔父是黑色，当前结点和父结点的左右位置相同: ) :
_______________#129#________________
| |
_________~61~_____ ______~267~______
| | | |
#9#_ _#107#_ _#211#_ _#301#
| | | | | |
~28~_ ~82~ ~122~ ~173~ ~232~ ~287~
|
~54~
case 5 handle1: 将父结点设置为黑色,祖父设为红色:
_______________#129#________________
| |
_________~61~_____ ______~267~______
| | | |
~9~_ _#107#_ _#211#_ _#301#
| | | | | |
#28#_ ~82~ ~122~ ~173~ ~232~ ~287~
|
~54~
case 5 handle2: 若当前结点和父结点是右子结点，则左旋祖父结点:
左旋: 9
_______________#129#________________
| |
_____~61~_____ ______~267~______
| | | |
_#28#_ _#107#_ _#211#_ _#301#
| | | | | | |
~9~ ~54~ ~82~ ~122~ ~173~ ~232~ ~287~
result:
_______________#129#________________
| |
_____~61~_____ ______~267~______
| | | |
_#28#_ _#107#_ _#211#_ _#301#
| | | | | | |
~9~ ~54~ ~82~ ~122~ ~173~ ~232~ ~287~
Inserting 95 -----------------------------------------------------
case 1 <95> (若当前结点是根结点,则将其颜色设置为黑色) :
___________________#129#________________
| |
_____~61~_________ ______~267~______
| | | |
_#28#_ _____#107#_ _#211#_ _#301#
| | | | | | |
~9~ ~54~ ~82~_ ~122~ ~173~ ~232~ ~287~
|
~95~
case 2 <95> (若该结点的父结点是黑色,则依然有效并返回) :
___________________#129#________________
| |
_____~61~_________ ______~267~______
| | | |
_#28#_ _____#107#_ _#211#_ _#301#
| | | | | | |
~9~ ~54~ ~82~_ ~122~ ~173~ ~232~ ~287~
|
~95~
case 3 <95> (若结点的叔父结点(和父亲)是红色，则将叔父和父亲都变成黑色，将祖父变成红色并转到case 1) :
___________________#129#________________
| |
_____~61~_________ ______~267~______
| | | |
_#28#_ _____#107#_ _#211#_ _#301#
| | | | | | |
~9~ ~54~ ~82~_ ~122~ ~173~ ~232~ ~287~
|
~95~
case 1 <107> (若当前结点是根结点,则将其颜色设置为黑色) :
___________________#129#________________
| |
_____~61~_________ ______~267~______
| | | |
_#28#_ _____~107~_ _#211#_ _#301#
| | | | | | |
~9~ ~54~ #82#_ #122# ~173~ ~232~ ~287~
|
~95~
case 2 <107> (若该结点的父结点是黑色,则依然有效并返回) :
___________________#129#________________
| |
_____~61~_________ ______~267~______
| | | |
_#28#_ _____~107~_ _#211#_ _#301#
| | | | | | |
~9~ ~54~ #82#_ #122# ~173~ ~232~ ~287~
|
~95~
case 3 <107> (若结点的叔父结点(和父亲)是红色，则将叔父和父亲都变成黑色，将祖父变成红色并转到case 1) :
___________________#129#________________
| |
_____~61~_________ ______~267~______
| | | |
_#28#_ _____~107~_ _#211#_ _#301#
| | | | | | |
~9~ ~54~ #82#_ #122# ~173~ ~232~ ~287~
|
~95~
case 1 <129> (若当前结点是根结点,则将其颜色设置为黑色) :
___________________~129~________________
| |
_____#61#_________ ______#267#______
| | | |
_#28#_ _____~107~_ _#211#_ _#301#
| | | | | | |
~9~ ~54~ #82#_ #122# ~173~ ~232~ ~287~
|
~95~
result:
___________________#129#________________
| |
_____#61#_________ ______#267#______
| | | |
_#28#_ _____~107~_ _#211#_ _#301#
| | | | | | |
~9~ ~54~ #82#_ #122# ~173~ ~232~ ~287~
|
~95~
Inserting 116 -----------------------------------------------------
case 1 <116> (若当前结点是根结点,则将其颜色设置为黑色) :
________________________#129#________________
| |
_____#61#_________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#301#
| | | | | | |
~9~ ~54~ #82#_ _#122# ~173~ ~232~ ~287~
| |
~95~ ~116~
case 2 <116> (若该结点的父结点是黑色,则依然有效并返回) :
________________________#129#________________
| |
_____#61#_________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#301#
| | | | | | |
~9~ ~54~ #82#_ _#122# ~173~ ~232~ ~287~
| |
~95~ ~116~
result:
________________________#129#________________
| |
_____#61#_________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#301#
| | | | | | |
~9~ ~54~ #82#_ _#122# ~173~ ~232~ ~287~
| |
~95~ ~116~
Inserting 281 -----------------------------------------------------
case 1 <281> (若当前结点是根结点,则将其颜色设置为黑色) :
________________________#129#________________
| |
_____#61#_________ ______#267#___________
| | | |
_#28#_ _____~107~______ _#211#_ _#301#
| | | | | | |
~9~ ~54~ #82#_ _#122# ~173~ ~232~ _~287~
| | |
~95~ ~116~ ~281~
case 2 <281> (若该结点的父结点是黑色,则依然有效并返回) :
________________________#129#________________
| |
_____#61#_________ ______#267#___________
| | | |
_#28#_ _____~107~______ _#211#_ _#301#
| | | | | | |
~9~ ~54~ #82#_ _#122# ~173~ ~232~ _~287~
| | |
~95~ ~116~ ~281~
case 3 <281> (若结点的叔父结点(和父亲)是红色，则将叔父和父亲都变成黑色，将祖父变成红色并转到case 1) :
________________________#129#________________
| |
_____#61#_________ ______#267#___________
| | | |
_#28#_ _____~107~______ _#211#_ _#301#
| | | | | | |
~9~ ~54~ #82#_ _#122# ~173~ ~232~ _~287~
| | |
~95~ ~116~ ~281~
case 4 <281> (若父亲是红色,叔父是黑色，当前结点和父结点的左右位置不同:) :
________________________#129#________________
| |
_____#61#_________ ______#267#___________
| | | |
_#28#_ _____~107~______ _#211#_ _#301#
| | | | | | |
~9~ ~54~ #82#_ _#122# ~173~ ~232~ _~287~
| | |
~95~ ~116~ ~281~
case 5 <281> (若父亲是红色,叔父是黑色，当前结点和父结点的左右位置相同: ) :
________________________#129#________________
| |
_____#61#_________ ______#267#___________
| | | |
_#28#_ _____~107~______ _#211#_ _#301#
| | | | | | |
~9~ ~54~ #82#_ _#122# ~173~ ~232~ _~287~
| | |
~95~ ~116~ ~281~
case 5 handle1: 将父结点设置为黑色,祖父设为红色:
________________________#129#________________
| |
_____#61#_________ ______#267#___________
| | | |
_#28#_ _____~107~______ _#211#_ _~301~
| | | | | | |
~9~ ~54~ #82#_ _#122# ~173~ ~232~ _#287#
| | |
~95~ ~116~ ~281~
case 5 handle2: 若当前结点和父结点是左子结点，则右旋祖父结点:
右旋: 301
________________________#129#________________
| |
_____#61#_________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ #82#_ _#122# ~173~ ~232~ ~281~ ~301~
| |
~95~ ~116~
result:
________________________#129#________________
| |
_____#61#_________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ #82#_ _#122# ~173~ ~232~ ~281~ ~301~
| |
~95~ ~116~
Inserting 93 -----------------------------------------------------
case 1 <93> (若当前结点是根结点,则将其颜色设置为黑色) :
____________________________#129#________________
| |
_____#61#_____________ ______#267#______
| | | |
_#28#_ _________~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ #82#_____ _#122# ~173~ ~232~ ~281~ ~301~
| |
_~95~ ~116~
|
~93~
case 2 <93> (若该结点的父结点是黑色,则依然有效并返回) :
____________________________#129#________________
| |
_____#61#_____________ ______#267#______
| | | |
_#28#_ _________~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ #82#_____ _#122# ~173~ ~232~ ~281~ ~301~
| |
_~95~ ~116~
|
~93~
case 3 <93> (若结点的叔父结点(和父亲)是红色，则将叔父和父亲都变成黑色，将祖父变成红色并转到case 1) :
____________________________#129#________________
| |
_____#61#_____________ ______#267#______
| | | |
_#28#_ _________~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ #82#_____ _#122# ~173~ ~232~ ~281~ ~301~
| |
_~95~ ~116~
|
~93~
case 4 <93> (若父亲是红色,叔父是黑色，当前结点和父结点的左右位置不同:) :
____________________________#129#________________
| |
_____#61#_____________ ______#267#______
| | | |
_#28#_ _________~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ #82#_____ _#122# ~173~ ~232~ ~281~ ~301~
| |
_~95~ ~116~
|
~93~
case 4 handle1: 若当前结点是左子结点，父结点是右子结点，则右旋父结点,下次处理旋转后右子结点:
右旋: 95
____________________________#129#________________
| |
_____#61#_____________ ______#267#______
| | | |
_#28#_ _________~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ #82#_ _#122# ~173~ ~232~ ~281~ ~301~
| |
~93~_ ~116~
|
~95~
case 5 <95> (若父亲是红色,叔父是黑色，当前结点和父结点的左右位置相同: ) :
____________________________#129#________________
| |
_____#61#_____________ ______#267#______
| | | |
_#28#_ _________~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ #82#_ _#122# ~173~ ~232~ ~281~ ~301~
| |
~93~_ ~116~
|
~95~
case 5 handle1: 将父结点设置为黑色,祖父设为红色:
____________________________#129#________________
| |
_____#61#_____________ ______#267#______
| | | |
_#28#_ _________~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ ~82~_ _#122# ~173~ ~232~ ~281~ ~301~
| |
#93#_ ~116~
|
~95~
case 5 handle2: 若当前结点和父结点是右子结点，则左旋祖父结点:
左旋: 82
____________________________#129#________________
| |
_____#61#_____________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ _#93#_ _#122# ~173~ ~232~ ~281~ ~301~
| | |
~82~ ~95~ ~116~
result:
____________________________#129#________________
| |
_____#61#_____________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ _#93#_ _#122# ~173~ ~232~ ~281~ ~301~
| | |
~82~ ~95~ ~116~
Inserting 122 -----------------------------------------------------
result:
____________________________#129#________________
| |
_____#61#_____________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ _#93#_ _#122# ~173~ ~232~ ~281~ ~301~
| | |
~82~ ~95~ ~116~
Inserting 90 -----------------------------------------------------
case 1 <90> (若当前结点是根结点,则将其颜色设置为黑色) :
________________________________#129#________________
| |
_____#61#_________________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ _____#93#_ _#122# ~173~ ~232~ ~281~ ~301~
| | |
~82~_ ~95~ ~116~
|
~90~
case 2 <90> (若该结点的父结点是黑色,则依然有效并返回) :
________________________________#129#________________
| |
_____#61#_________________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ _____#93#_ _#122# ~173~ ~232~ ~281~ ~301~
| | |
~82~_ ~95~ ~116~
|
~90~
case 3 <90> (若结点的叔父结点(和父亲)是红色，则将叔父和父亲都变成黑色，将祖父变成红色并转到case 1) :
________________________________#129#________________
| |
_____#61#_________________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ _____#93#_ _#122# ~173~ ~232~ ~281~ ~301~
| | |
~82~_ ~95~ ~116~
|
~90~
case 1 <93> (若当前结点是根结点,则将其颜色设置为黑色) :
________________________________#129#________________
| |
_____#61#_________________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ _____~93~_ _#122# ~173~ ~232~ ~281~ ~301~
| | |
#82#_ #95# ~116~
|
~90~
case 2 <93> (若该结点的父结点是黑色,则依然有效并返回) :
________________________________#129#________________
| |
_____#61#_________________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ _____~93~_ _#122# ~173~ ~232~ ~281~ ~301~
| | |
#82#_ #95# ~116~
|
~90~
case 3 <93> (若结点的叔父结点(和父亲)是红色，则将叔父和父亲都变成黑色，将祖父变成红色并转到case 1) :
________________________________#129#________________
| |
_____#61#_________________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ _____~93~_ _#122# ~173~ ~232~ ~281~ ~301~
| | |
#82#_ #95# ~116~
|
~90~
case 4 <93> (若父亲是红色,叔父是黑色，当前结点和父结点的左右位置不同:) :
________________________________#129#________________
| |
_____#61#_________________ ______#267#______
| | | |
_#28#_ _____~107~______ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ _____~93~_ _#122# ~173~ ~232~ ~281~ ~301~
| | |
#82#_ #95# ~116~
|
~90~
case 4 handle1: 若当前结点是左子结点，父结点是右子结点，则右旋父结点,下次处理旋转后右子结点:
右旋: 107
________________________________#129#________________
| |
_____#61#_________ ______#267#______
| | | |
_#28#_ _____~93~_____ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ #82#_ _~107~______ ~173~ ~232~ ~281~ ~301~
| | |
~90~ #95# _#122#
|
~116~
case 5 <107> (若父亲是红色,叔父是黑色，当前结点和父结点的左右位置相同: ) :
________________________________#129#________________
| |
_____#61#_________ ______#267#______
| | | |
_#28#_ _____~93~_____ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ #82#_ _~107~______ ~173~ ~232~ ~281~ ~301~
| | |
~90~ #95# _#122#
|
~116~
case 5 handle1: 将父结点设置为黑色,祖父设为红色:
________________________________#129#________________
| |
_____~61~_________ ______#267#______
| | | |
_#28#_ _____#93#_____ _#211#_ _#287#_
| | | | | | | |
~9~ ~54~ #82#_ _~107~______ ~173~ ~232~ ~281~ ~301~
| | |
~90~ #95# _#122#
|
~116~
case 5 handle2: 若当前结点和父结点是右子结点，则左旋祖父结点:
左旋: 61
____________________#129#________________
| |
_________#93#_____ ______#267#______
| | | |
_____~61~_ _~107~______ _#211#_ _#287#_
| | | | | | | |
_#28#_ #82#_ #95# _#122# ~173~ ~232~ ~281~ ~301~
| | | |
~9~ ~54~ ~90~ ~116~
result:
____________________#129#________________
| |
_________#93#_____ ______#267#______
| | | |
_____~61~_ _~107~______ _#211#_ _#287#_
| | | | | | | |
_#28#_ #82#_ #95# _#122# ~173~ ~232~ ~281~ ~301~
| | | |
~9~ ~54~ ~90~ ~116~
Inserting 274 -----------------------------------------------------
case 1 <274> (若当前结点是根结点,则将其颜色设置为黑色) :
____________________#129#________________
| |
_________#93#_____ ______#267#___________
| | | |
_____~61~_ _~107~______ _#211#_ _#287#_
| | | | | | | |
_#28#_ #82#_ #95# _#122# ~173~ ~232~ _~281~ ~301~
| | | | |
~9~ ~54~ ~90~ ~116~ ~274~
case 2 <274> (若该结点的父结点是黑色,则依然有效并返回) :
____________________#129#________________
| |
_________#93#_____ ______#267#___________
| | | |
_____~61~_ _~107~______ _#211#_ _#287#_
| | | | | | | |
_#28#_ #82#_ #95# _#122# ~173~ ~232~ _~281~ ~301~
| | | | |
~9~ ~54~ ~90~ ~116~ ~274~
case 3 <274> (若结点的叔父结点(和父亲)是红色，则将叔父和父亲都变成黑色，将祖父变成红色并转到case 1) :
____________________#129#________________
| |
_________#93#_____ ______#267#___________
| | | |
_____~61~_ _~107~______ _#211#_ _#287#_
| | | | | | | |
_#28#_ #82#_ #95# _#122# ~173~ ~232~ _~281~ ~301~
| | | | |
~9~ ~54~ ~90~ ~116~ ~274~
case 1 <287> (若当前结点是根结点,则将其颜色设置为黑色) :
____________________#129#________________
| |
_________#93#_____ ______#267#___________
| | | |
_____~61~_ _~107~______ _#211#_ _~287~_
| | | | | | | |
_#28#_ #82#_ #95# _#122# ~173~ ~232~ _#281# #301#
| | | | |
~9~ ~54~ ~90~ ~116~ ~274~
case 2 <287> (若该结点的父结点是黑色,则依然有效并返回) :
____________________#129#________________
| |
_________#93#_____ ______#267#___________
| | | |
_____~61~_ _~107~______ _#211#_ _~287~_
| | | | | | | |
_#28#_ #82#_ #95# _#122# ~173~ ~232~ _#281# #301#
| | | | |
~9~ ~54~ ~90~ ~116~ ~274~
result:
____________________#129#________________
| |
_________#93#_____ ______#267#___________
| | | |
_____~61~_ _~107~______ _#211#_ _~287~_
| | | | | | | |
_#28#_ #82#_ #95# _#122# ~173~ ~232~ _#281# #301#
| | | | |
~9~ ~54~ ~90~ ~116~ ~274~
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原文地址：http://www.cnblogs.com/lengyue365/p/5137044.html
