binary search tree的java实现
1
/**
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* ADT binary search tree
3
*/
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package binarySearchTree;
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import java.io.Serializable;
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import java.util.Iterator;
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/**
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* @author
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* @version 1.0
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*/
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public interface IBinarySearchTree extends Serializable
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{
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/**
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* Get the size of binary search tree
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*
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* @return an int of binary search tree's size
19
*/
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public int size();
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22
/**
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* Method to clear the binary search tree
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*/
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public void clear();
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27
/**
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* Check to know if the binary search tree is empty or not
29
*
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* @return true if the binary searchg tree is empty
31
*/
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public boolean isEmpty();
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34
/**
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* Method adding an object into the binary search tree
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*
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* @param o the object is to be add in the binary search tree
38
*/
39
@SuppressWarnings("unchecked")
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public void add(Comparable o);
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42
/**
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* Remove an object in the binary search tree
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*
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* @param o the object is to be remove from binary search tree
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* @return an object that is removed
47
*/
48
@SuppressWarnings("unchecked")
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public Object remove(Comparable o);
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51
/**
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* Find an object in the binary search tree
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*
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* @param o a specific object is wanted to be find in binary search tree
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* @return an object if that object exist in the tree, return null if not
56
*/
57
@SuppressWarnings("unchecked")
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public Object find(Comparable o);
59
60
/**
61
* Return the iterator of the binary search tree
62
*
63
* @return an Iterator object of the binary search tree
64
*/
65
@SuppressWarnings("unchecked")
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public Iterator iterator();
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}
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1
package binarySearchTree;
2![](https://www.cnblogs.com/Images/OutliningIndicators/None.gif)
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import java.io.Serializable;
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import java.util.Iterator;
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import list.*;
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/**
9
* @author
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* @version 1.0
11
*/
12
public class BinarySearchTree implements IBinarySearchTree
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{
14
private class BinarySearchTreeNode implements Serializable
15
{
16
/**
17
* Attributes
18
*/
19
private static final long serialVersionUID = 1L;
20
private BinarySearchTreeNode smallerLeft;
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private BinarySearchTreeNode biggerRight;
22
private Object object;
23
24
/**
25
* Constructor
26
*/
27
public BinarySearchTreeNode(Object object)
28
{
29
this.object = object;
30
this.smallerLeft = null;
31
this.biggerRight = null;
32
}
33
34
/**
35
* Constructor
36
*/
37
public BinarySearchTreeNode()
38
{
39
this.object = null;
40
this.smallerLeft = null;
41
this.biggerRight = null;
42
}
43
44
/**
45
* Class attribute getter
46
*
47
* @return the smallerLeft
48
*/
49
public BinarySearchTreeNode getSmallerLeft()
50
{
51
return this.smallerLeft;
52
}
53
54
/**
55
* Class attribute setter
56
*
57
* @param smallerLeft the smallerLeft to set
58
*/
59
public void setSmallerLeft(BinarySearchTreeNode smallerLeft)
60
{
61
this.smallerLeft = smallerLeft;
62
}
63
64
/**
65
* Class attribute getter
66
*
67
* @return the biggerRight
68
*/
69
public BinarySearchTreeNode getBiggerRight()
70
{
71
return this.biggerRight;
72
}
73
74
/**
75
* Class attribute setter
76
*
77
* @param biggerRight the biggerRight to set
78
*/
79
public void setBiggerRight(BinarySearchTreeNode biggerRight)
80
{
81
this.biggerRight = biggerRight;
82
}
83
84
/**
85
* Class attribute getter
86
*
87
* @return the object
88
*/
89
public Object getObject()
90
{
91
return this.object;
92
}
93
94
/**
95
* Class attribute setter
96
*
97
* @param object the object to set
98
*/
99
public void setObject(Object object)
100
{
101
this.object = object;
102
}
103
}
104
private class Direction implements Serializable
105
{
106
/**
107
* Attributes
108
*/
109
private static final long serialVersionUID = 1L;
110
private int number;
111
112
/**
113
* Class attribute getter
114
*
115
* @return the number
116
*/
117
public int getNumber()
118
{
119
return this.number;
120
}
121
122
/**
123
* Class attribute setter
124
*
125
* @param number the number to set
126
*/
127
public void setNumber(int number)
128
{
129
this.number = number;
130
}
131
}
132
private class FatherNode implements Serializable
133
{
134
/**
135
* Attributes
136
*/
137
private static final long serialVersionUID = 1L;
138
private BinarySearchTreeNode bstn;
139
140
/**
141
* Class attribute getter
142
*
143
* @return the bstn
144
*/
145
public BinarySearchTreeNode getBstn()
146
{
147
return this.bstn;
148
}
149
150
/**
151
* Class attribute setter
152
*
153
* @param bstn the bstn to set
154
*/
155
public void setBstn(BinarySearchTreeNode bstn)
156
{
157
this.bstn = bstn;
158
}
159
}
160
/**
161
* Attributes
162
*/
163
private static final long serialVersionUID = 1L;
164
private BinarySearchTreeNode root;
165
private int size;
166
167
public BinarySearchTree()
168
{
169
this.root = null;
170
this.size = 0;
171
}
172
173
/*
174
* (non-Javadoc)
175
*
176
* @see binarySearchTree.IBinarySearchTree#size()
177
*/
178
public int size()
179
{
180
return this.size;
181
}
182
183
/*
184
* (non-Javadoc)
185
*
186
* @see binarySearchTree.IBinarySearchTree#clear()
187
*/
188
public void clear()
189
{
190
this.root = null;
191
this.size = 0;
192
}
193
194
/*
195
* (non-Javadoc)
196
*
197
* @see binarySearchTree.IBinarySearchTree#isEmpty()
198
*/
199
public boolean isEmpty()
200
{
201
return this.root == null;
202
}
203
204
@SuppressWarnings("unchecked")
205
private BinarySearchTreeNode findNodeForInsertion(Comparable o,
206
BinarySearchTreeNode current, Direction direction)
207
{
208
if(o.compareTo((Comparable)current.getObject()) >= 0)// right side
209
{
210
if(current.getBiggerRight() == null)
211
{
212
direction.setNumber(2);
213
return current;
214
}
215
else
216
{
217
return findNodeForInsertion(o, current.getBiggerRight(),
218
direction);
219
}
220
}
221
else
222
// left side
223
{
224
if(current.getSmallerLeft() == null)
225
{
226
direction.setNumber(1);
227
return current;
228
}
229
else
230
{
231
return findNodeForInsertion(o, current.getSmallerLeft(),
232
direction);
233
}
234
}
235
}
236
237
/*
238
* (non-Javadoc)
239
*
240
* @see binarySearchTree.IBinarySearchTree#add(java.lang.Comparable)
241
*/
242
@SuppressWarnings("unchecked")
243
public void add(Comparable o)
244
{
245
if(this.root == null)
246
{
247
BinarySearchTreeNode bstn = new BinarySearchTreeNode(o);
248
this.root = bstn;
249
this.size++;
250
}
251
else
252
{
253
Direction direction = new Direction();
254
BinarySearchTreeNode bstn = findNodeForInsertion(o, this.root,
255
direction);
256
if(direction.getNumber() == 2)// right side
257
{
258
BinarySearchTreeNode newLeaf = new BinarySearchTreeNode(o);
259
bstn.setBiggerRight(newLeaf);
260
}
261
else
262
// left side
263
{
264
BinarySearchTreeNode newLeaf = new BinarySearchTreeNode(o);
265
bstn.setSmallerLeft(newLeaf);
266
}
267
}
268
}
269
270
@SuppressWarnings("unchecked")
271
private BinarySearchTreeNode findNode(Comparable o,
272
BinarySearchTreeNode current, FatherNode upper, Direction direction)
273
{
274
if(o.compareTo((Comparable)current.getObject()) > 0)// right side
275
{
276
if(current.getBiggerRight() == null)// can't find it,error
277
{
278
upper.setBstn(null);
279
direction.setNumber(0);
280
return null;
281
}
282
else
283
{
284
upper.setBstn(current);
285
direction.setNumber(2);
286
return findNode(o, current.getBiggerRight(), upper, direction);
287
}
288
}
289
else if(o.compareTo((Comparable)current.getObject()) < 0)
290
// left side
291
{
292
if(current.getSmallerLeft() == null)// can't find it,error
293
{
294
upper.setBstn(null);
295
direction.setNumber(0);
296
return null;
297
}
298
else
299
{
300
upper.setBstn(current);
301
direction.setNumber(1);
302
return findNode(o, current.getSmallerLeft(), upper, direction);
303
}
304
}
305
else
306
// equal
307
{
308
return current;
309
}
310
}
311
312
@SuppressWarnings("unchecked")
313
private BinarySearchTreeNode findNode(Comparable o,
314
BinarySearchTreeNode current)
315
{
316
if(o.compareTo((Comparable)current.getObject()) > 0)// right side
317
{
318
if(current.getBiggerRight() == null)
319
{
320
return null;
321
}
322
else
323
{
324
return findNode(o, current.getBiggerRight());
325
}
326
}
327
else if(o.compareTo((Comparable)current.getObject()) < 0)
328
// left side
329
{
330
if(current.getSmallerLeft() == null)
331
{
332
return null;
333
}
334
else
335
{
336
return findNode(o, current.getSmallerLeft());
337
}
338
}
339
else
340
// equal
341
{
342
return current;
343
}
344
}
345
346
private BinarySearchTreeNode findLeftestLeaf(BinarySearchTreeNode current,
347
FatherNode upper)
348
{
349
if(current.getSmallerLeft() == null)
350
{
351
return current;
352
}
353
else
354
{
355
upper.setBstn(current);
356
return findLeftestLeaf(current.getSmallerLeft(), upper);
357
}
358
}
359
360
/*
361
* (non-Javadoc)
362
*
363
* @see binarySearchTree.IBinarySearchTree#remove(java.lang.Comparable)
364
*/
365
@SuppressWarnings("unchecked")
366
public Object remove(Comparable o)
367
{
368
if(this.root == null)
369
{
370
return null;
371
}
372
FatherNode upper = new FatherNode();
373
Direction direction = new Direction();
374
BinarySearchTreeNode bstn = findNode(o, this.root, upper, direction);
375
if(bstn == null)
376
{
377
return null;
378
}
379
else
380
{
381
if(bstn.getSmallerLeft() == null && bstn.getBiggerRight() == null)// no
382
// children
383
{
384
if(upper.getBstn() == null)// root
385
{
386
Object object = this.root.getObject();
387
this.root = null;
388
this.size--;
389
return object;
390
}
391
else
392
// not root
393
{
394
if(direction.getNumber() == 1)// left side to the leaf
395
// node
396
{
397
Object object = bstn.getObject();
398
upper.getBstn().setSmallerLeft(null);
399
this.size--;
400
return object;
401
}
402
else
403
// right side to the leaf node
404
{
405
Object object = bstn.getObject();
406
upper.getBstn().setBiggerRight(null);
407
this.size--;
408
return object;
409
}
410
}
411
}
412
else if(bstn.getSmallerLeft() == null)// one child on the right
413
// side, not leaf
414
{
415
if(upper.getBstn() == null)// root
416
{
417
Object object = this.root.getObject();
418
this.root = this.root.getBiggerRight();
419
this.size--;
420
return object;
421
}
422
else
423
// not root
424
{
425
if(direction.getNumber() == 1)// goes left side to reach
426
// it
427
{
428
Object object = bstn.getObject();
429
upper.getBstn().setSmallerLeft(bstn.getBiggerRight());
430
this.size--;
431
return object;
432
}
433
else
434
// goes right side to reach it
435
{
436
Object object = bstn.getObject();
437
upper.getBstn().setBiggerRight(bstn.getBiggerRight());
438
this.size--;
439
return object;
440
}
441
}
442
}
443
else if(bstn.getBiggerRight() == null)// one child on the left
444
// side, not leaf
445
{
446
if(upper.getBstn() == null)// root
447
{
448
Object object = this.root.getObject();
449
this.root = this.root.getSmallerLeft();
450
this.size--;
451
return object;
452
}
453
else
454
// not root
455
{
456
if(direction.getNumber() == 1)// goes left side to reach
457
// it
458
{
459
Object object = bstn.getObject();
460
upper.getBstn().setSmallerLeft(bstn.getSmallerLeft());
461
this.size--;
462
return object;
463
}
464
else
465
// goes right side to reach it
466
{
467
Object object = bstn.getObject();
468
upper.getBstn().setBiggerRight(bstn.getSmallerLeft());
469
this.size--;
470
return object;
471
}
472
}
473
}
474
else
475
// two children
476
{
477
if(upper.getBstn() == null)// root
478
{
479
FatherNode subUpper = new FatherNode();
480
BinarySearchTreeNode newNode = findLeftestLeaf(bstn
481
.getBiggerRight(), subUpper);
482
Object object = this.root.getObject();
483
newNode.setSmallerLeft(this.root.getSmallerLeft());
484
newNode.setBiggerRight(this.root.getBiggerRight());
485
if(subUpper.getBstn() == null)// only one level
486
{
487
newNode.setBiggerRight(null);
488
}
489
else
490
// more then one level
491
{
492
subUpper.getBstn().setSmallerLeft(null);
493
}
494
this.root = newNode;
495
this.size--;
496
return object;
497
}
498
else
499
{
500
if(direction.getNumber() == 1)// goes left side to reach
501
// it
502
{
503
FatherNode subUpper = new FatherNode();
504
BinarySearchTreeNode newNode = findLeftestLeaf(bstn
505
.getBiggerRight(), subUpper);
506
Object object = bstn.getObject();
507
newNode.setSmallerLeft(bstn.getSmallerLeft());
508
newNode.setBiggerRight(bstn.getBiggerRight());
509
if(subUpper == null)// only one level
510
{
511
newNode.setBiggerRight(null);
512
}
513
else
514
// more then one level
515
{
516
subUpper.getBstn().setSmallerLeft(null);
517
}
518
upper.getBstn().setSmallerLeft(newNode);
519
this.size--;
520
return object;
521
}
522
else
523
// goes right side to reach it
524
{
525
FatherNode subUpper = new FatherNode();
526
BinarySearchTreeNode newNode = findLeftestLeaf(bstn
527
.getBiggerRight(), subUpper);
528
Object object = bstn.getObject();
529
newNode.setSmallerLeft(bstn.getSmallerLeft());
530
newNode.setBiggerRight(bstn.getBiggerRight());
531
if(subUpper == null)// only one level
532
{
533
newNode.setBiggerRight(null);
534
}
535
else
536
// more then one level
537
{
538
subUpper.getBstn().setSmallerLeft(null);
539
}
540
upper.getBstn().setBiggerRight(newNode);
541
this.size--;
542
return object;
543
}
544
}
545
}
546
}
547
}
548
549
/*
550
* (non-Javadoc)
551
*
552
* @see binarySearchTree.IBinarySearchTree#find(java.lang.Comparable)
553
*/
554
@SuppressWarnings("unchecked")
555
public Object find(Comparable o)
556
{
557
if(this.root == null)
558
{
559
return null;
560
}
561
BinarySearchTreeNode bstn = findNode(o, this.root);
562
if(bstn == null)
563
{
564
return null;
565
}
566
else
567
{
568
return bstn.getObject();
569
}
570
}
571
572
/*
573
* (non-Javadoc)
574
*
575
* @see binarySearchTree.IBinarySearchTree#iterator()
576
*/
577
@SuppressWarnings("unchecked")
578
public Iterator iterator()
579
{
580
DoublyLinkedList dll = getDLL();
581
return dll.iterator();
582
}
583
584
private DoublyLinkedList getDLL()
585
{
586
DoublyLinkedList dll = new DoublyLinkedList();
587
fillDLL(dll, this.root);
588
return dll;
589
}
590
591
private void fillDLL(DoublyLinkedList dll, BinarySearchTreeNode current)
592
{
593
if(current == null)
594
{
595
return;
596
}
597
if(current.getSmallerLeft() == null && current.getBiggerRight() == null)
598
{
599
dll.add(current.getObject());
600
return;
601
}
602
if(current.getSmallerLeft() != null)
603
{
604
fillDLL(dll, current.getSmallerLeft());
605
}
606
dll.add(current.getObject());
607
if(current.getBiggerRight() != null)
608
{
609
fillDLL(dll, current.getBiggerRight());
610
}
611
}
612
}
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