İkili arama ağacı birden fazla düğüm silme

oy
4

Sorun ben eg tüm düğümleri silmek için bir etkili yolu bulamıyor olan C oluşturulan bir ikili arama ağacı, id> 5 var.

Ben ağaç travers zaman bir düğüm silerseniz yapısı aynı olmadığı için, tekrarlama, hata oluyor.

Yerine önce verileri tutmak ağaçtan bunları silmek için bir yardımcı yığını kullanmanın bir yolu var mı?

Oluştur 17/12/2009 saat 08:19
kaynak kullanıcı
Diğer dillerde...                            


5 cevaplar

oy
2

Eğer postorder denedin mi?
Onun çocuklarına düğümü silin.

Cevap 17/12/2009 saat 08:22
kaynak kullanıcı

oy
0

Bu size tüm öğelerin bir orderd listesini verir, bir inorder yürüyüş yapardı. Sonra tekrar ağacı oluşturun.

Sık sık bunu yapmak gerekiyorsa Ya da, belki bir AVL ağaç daha iyidir.

Cevap 17/12/2009 saat 08:29
kaynak kullanıcı

oy
1

Kostas. Sen daha fazla bilgi vermek gerekir.

Bir ikili ağaç sadece kimin düğümleri (maksimum) sahip iki çocuk bir ağaç demektir. Veriler, böyle bir ağaç üzerinde birçok yol sipariş edilebilir:

  • Sırasız: Bir ebeveyn ve düğümler arasında hiçbir ilişki yoktur.
  • Öbek: Bir düğüm daha büyük (veya daha küçük) alt öğelerinden hepsi
  • Sıralı: Bir çocuk belirlenmiş küçük ve diğer büyük . Root daha küçük tüm değerler, diğer tüm değerler daha büyük, bir tarafa vardır.

Eğer bize kodu verirsek, daha yardımcı olabiliriz.

Cevap 17/12/2009 saat 08:32
kaynak kullanıcı

oy
1

Bu satuation AVL ağacı tercih edecektir.

Burada kod istediğini almaktır

class BSTree
 {


/*     */   public static final int INSERT IGNORE  = 1;

/*     */   public static final int DELETE = -1;

/*     */   BTNode root;

/*     */   boolean AVL;

/*     */   boolean SPL;

/*     */   boolean RBL;

/*     */   BTNode lastnode;

/*     */   int nextside;
/*     */ 

/*     */   public BSTree(int mode)
/*     */   {
/*  18 */     this.root = null;

/*  19 */     setMode(mode, true);

/*     */   }

/*     */ 
/*     */   public void setMode(int mode, boolean state) {

/*  23 */     switch (mode)

/*     */     {

/*     */     case 1:

/*  26 */       if (state == true)

/*     */       {

/*  28 */         this.AVL = true;

/*  29 */         this.SPL = false;

/*  30 */         this.RBL = false;

/*     */ 
/*  26 */         return;


/*     */       }

/*     */ 
/*  33 */       this.AVL = false;

/*  34 */       break;


/*     */     case 2:

/*  37 */       if (state == true)

/*     */       {

/*  39 */         this.SPL = true;

/*  40 */         this.AVL = false;

/*  41 */         this.RBL = false;

/*     */ 
/*  37 */         return;

/*     */       }
/*     */ 

/*  44 */       this.SPL = false;

/*  45 */       break;

/*     */     case 3:

/*  48 */       if (state == true)

/*     */       {

/*  50 */         this.RBL = true;

/*  51 */         this.AVL = false;

/*  52 */         this.SPL = false;

/*     */ 
/*  48 */         return;


/*     */       }

/*     */ 
/*  55 */       this.RBL = false;


/*  56 */       break;

/*     */     default:


/*  59 */       this.AVL = false;

/*  60 */       this.SPL = false;

/*  61 */       this.RBL = false;

/*     */     }

/*     */   }

/*     */ 
/*     */   public boolean isAVL() {

/*  66 */     return this.AVL;

/*     */   }

/*     */ 
/*     */   public boolean isSPL() {

/*  70 */     return this.SPL;

/*     */   }

/*     */ 
/*     */   public boolean isRBL() {

/*  74 */     return this.RBL;

/*     */   }

/*     */ 
/*     */   public BTNode getRoot()

/*     */   {

/*  79 */     return this.root;

/*     */   }

/*     */ 
/*     */   public void setRoot(BTNode node) {

/*  83 */     this.root = node;

/*     */   }

/*     */ 
/*     */   public boolean isEmpty() {

/*  87 */     return (this.root == null);

/*     */   }

/*     */ 
/*     */   public int getDepth()

/*     */   {

/*  92 */     int maxdepth = 0;

/*  93 */     for (BTNode node = this.root; node != null; node = node.nextPrO())

/*     */     {

/*  95 */       int depth = node.getDepth(this.root);


/*  96 */       if (depth > maxdepth)

/*  97 */         maxdepth = depth;

/*     */     }

/*  99 */     return maxdepth;

/*     */   }

/*     */ 
/*     */   public void destroy(BTNode node)

/*     */   {

/* 104 */     node = null;

/*     */   }

/*     */ 
/*     */   public BTNode find(BTData data)

/*     */   {

/* 113 */     BTNode node = locate(data);


/* 114 */     if (isSPL())



/* 115 */       splay(this.lastnode);

/* 116 */     return node;

/*     */   }

/*     */ 
/*     */   public BTNode insert(BTData data) {

/* 120 */     if (isSPL()) {

/* 121 */       return insertSPL(data);

/*     */     }

/* 123 */     if (isAVL()) {

/* 124 */       return insertAVL(data);

/*     */     }

/* 126 */     if (isRBL()) {

/* 127 */       return insertRBL(data);

/*     */     }

/* 129 */     return insertBST(data);

/*     */   }

/*     */ 
/*     */   public BTNode delete(BTData data, int minmax) {

/* 133 */     if (isAVL()) {

/* 134 */       return deleteAVL(data, minmax);

/*     */     }

/* 136 */     if (isSPL()) {

/* 137 */       return deleteSPL(data, minmax);

/*     */     }

/* 139 */     if (isRBL()) {

/* 140 */       return deleteRBL(data, minmax);

/*     */     }

/* 142 */     return deleteBST(data, minmax);

/*     */   }

/*     */ 
/*     */   public BTNode locate(BTData data)

/*     */   {

/* 150 */     BTNode node = this.root;

/* 151 */     BTNode next = null;

/* 152 */     int side = 0;
/*     */ 

/* 154 */     while (node != null)

/*     */     {

/* 156 */       side = node.compareSide(data);

/* 157 */       next = node.getChild(side);


/* 158 */       if (next == node) break; if (next == null)
/*     */         break;


/* 160 */       node = next;

/*     */     }

/* 162 */     this.lastnode = node;

/* 163 */     this.nextside = side;

/* 164 */     return next;

/*     */   }

/*     */ 
/*     */   public BTNode add(BTNode node, int side, BTData data)

/*     */   {

/* 170 */     BTNode newnode = new BTNode(data);

/* 171 */     link(node, side, newnode);

/* 172 */     return newnode;

/*     */   }

/*     */ 
/*     */   public BTNode remove(BTNode node)

/*     */   {

/* 181 */     BTNode child = node.getChild();

/* 182 */     BTNode parent = node.getParent();

/* 183 */     int side = node.getSide();

/* 184 */     link(parent, side, child);

/* 185 */     destroy(node);

/* 186 */     return parent;

/*     */   }

/*     */ 
/*     */   public void link(BTNode parent, int side, BTNode child)

/*     */   {

/* 193 */     if (child != null)

/* 194 */       child.setParent(parent);

/* 195 */     if (parent != null)

/* 196 */       parent.setChild(side, child);

/*     */     else

/* 198 */       this.root = child;

/*     */   }

/*     */ 
/*     */   public BTNode rotate(BTNode node, int side)


/*     */   {

/* 206 */     BTNode parent = node.getParent();

/* 207 */     BTNode child = node.getChild(-side);

/* 208 */     BTNode grand = child.getChild(side);


/*     */ 
/* 210 */     link(node, -side, grand);

/* 211 */     link(parent, node.getSide(), child);

/* 212 */     link(child, side, node);

/* 213 */     return child;

/*     */   }

/*     */ 
/*     */   public BTNode swap(BTNode node, int minmax)

/*     */   {

/* 222 */     BTNode swap = getSuccessor(node, minmax);



/* 223 */     BTNode temp = node;

/* 224 */     swapData(node, swap);

/* 225 */     node = swap;

/* 226 */     swap = temp;

/* 227 */     return node;

/*     */   }

/*     */ 
/*     */   public BTNode getSuccessor(BTNode node, int minmax) {

/* 231 */     return ((minmax == 1) ? node.prevInO() : node.nextInO());

/*     */   }

/*     */ 
/*     */   public void swapData(BTNode node1, BTNode node2)

/*     */   {
/* 237 */     BTData data = node1.getData();

/* 238 */     node1.setData(node2.getData());

/* 239 */     node2.setData(data);

/*     */   }

/*     */ 
/*     */   public void deleteAll()

/*     */   {

/* 245 */     for (BTNode node = this.root.firstPoO(); node != null; )

/*     */     {
/* 247 */       BTNode leaf = node;

/* 248 */       node = leaf.nextPoO();

/* 249 */       destroy(leaf);

/*     */     }

/* 251 */     this.root = null;

/*     */   }

/*     */ 
/*     */   public BTNode locateBST(BTData data)

/*     */   {

/* 260 */     for (BTNode node = this.root; node != null; )

/*     */     {
/* 262 */       int side = node.compareSide(data);


/* 263 */       if (side == 0)
/*     */         break;

/* 265 */       node = node.getChild(side);

/*     */     }

/* 267 */     return node;

/*     */   }
/*     */ 
/*     */   public BTNode insertBST(BTData data)

/*     */   {

/* 272 */     if (this.root == null)

/* 273 */       return add(null, 0, data);




/* 274 */     BTNode node = locate(data);



/* 275 */     return ((node != null) ? null : add(this.lastnode, this.nextside, data));



/*     */   }



/*     */ 

/*     */   public BTNode deleteBST(BTData data, int minmax)


/*     */   {





/* 280 */     BTNode node = locate(data);



/* 281 */     if (node == null)

/* 282 */       return null;

/* 283 */     if (node.hasTwoChildren())

/* 284 */       node = swap(node, minmax);

/* 285 */     return remove(node);

/*     */   }

/*     */ 

/*     */   public BTNode insertAVL(BTData data)

/*     */   {

/* 297 */     if (this.root == null)

/* 298 */       return add(null, 0, data);

/* 299 */     if (locate(data) != null)


/* 300 */       return null;

/* 301 */     BTNode node = add(this.lastnode, this.nextside, data);

/* 302 */     rebalanceAVL(this.lastnode, this.nextside, 1);

/* 303 */     return node;

/*     */   }

/*     */ 


/*     */   public BTNode deleteAVL(BTData data, int minmax)

/*     */   {

/* 315 */     BTNode node = locate(data);

/* 316 */     if (node == null) {

/* 317 */       return null;

/*     */     }


/* 319 */     if (node.hasTwoChildren()) {

/* 320 */       node = swap(node, minmax);


/*     */     }

/* 322 */     int side = node.getSide();

/* 323 */     node = remove(node);

/* 324 */     rebalanceAVL(node, side, -1);


/* 325 */     return node;

/*     */   }

/*     */ 

/*     */   public void rebalanceAVL(BTNode node, int side, int in)

/*     */   {

/* 333 */     for (; node != null; node = node.getParent())

/*     */     {

/* 335 */       if (node.getBalance() != in * side)

/* 336 */         node.setBalance(node.getBalance() + in * side);

/*     */       else {

/* 338 */         node = rotateAVL(node);

/*     */       }

/* 340 */       if ((in == 1) && (node.getBalance() == 0)) return; if ((in == -1) && 

(node.getBalance() != 0))

/*     */         return;

/* 342 */       side = node.getSide();


/*     */     }

/*     */   }


/*     */ 

/*     */   public BTNode rotateAVL(BTNode node)


/*     */   {

/* 357 */     int side = node.getBalance();

/* 358 */     BTNode child = node.getChild(side);

/*     */ 

/* 360 */     if (child.getBalance() == -side)

/*     */     {

/* 362 */       BTNode grand = child.getChild(-side);

/* 363 */       if (grand.getBalance() == -side)

/*     */       {

/* 365 */         grand.setBalance(0);

/* 366 */         child.setBalance(side);

/* 367 */         node.setBalance(0);

/*     */       }

/* 369 */       else if (grand.getBalance() == side)

/*     */       {

/* 371 */         grand.setBalance(0);

/* 372 */         child.setBalance(0);

/* 373 */         node.setBalance(-side);

/*     */       }

/*     */       else {

/* 376 */         node.setBalance(0);

/* 377 */         child.setBalance(0);

/*     */       }

/* 379 */       rotate(child, side);

/*     */     }

/* 382 */     else if (child.getBalance() == side)

/*     */     {

/* 384 */       node.setBalance(0);

/* 385 */       child.setBalance(0);

/*     */     }

/* 387 */     else if (child.getBalance() == 0)

/*     */     {

/* 389 */       node.setBalance(side);

/* 390 */       child.setBalance(-side);

/*     */     }

/* 392 */     node = rotate(node, -side);

/* 393 */     return node;

/*     */   }

/*     */ 

/*     */   public void balanceAVL(BTNode node)

/*     */   {

/* 400 */     int side = node.getBalance();

/* 401 */     BTNode child = node.getChild(side);

/* 402 */     if (child.getBalance() == -side)

/*     */     {


/* 404 */       BTNode grand = child.getChild(-side);

/* 405 */       if (grand.getBalance() == -side)

/*     */       {

/* 407 */         grand.setBalance(0);

/* 408 */         child.setBalance(side);

/* 409 */         node.setBalance(0);



/*     */       }

/* 411 */       else if (grand.getBalance() == side)

/*     */       {

/* 413 */         grand.setBalance(0);

/* 414 */         child.setBalance(0);

/* 415 */         node.setBalance(-side);

/*     */       }

/*     */       else {

/* 418 */         node.setBalance(0);

/* 419 */         child.setBalance(0);

/*     */       }

/*     */ 

/*     */     }

/* 423 */     else if (child.getBalance() == side)

/*     */     {





/* 425 */       child.setBalance(0);

/* 426 */       node.setBalance(0);

/*     */     } else {

/* 428 */       if (child.getBalance() != 0)

/*     */         return;

/* 430 */       child.setBalance(-side);

/*     */     }

/*     */   }

/*     */ 

/*     */   public boolean isAVLcompliant(BTNode node)

/*     */   {

/* 440 */     boolean balanced = true;

/*     */ 

/* 442 */     if (node == null)

/* 443 */       return true;

/* 444 */     int l = getHeight(node.getChild(-1), 0);

/* 445 */     int r = getHeight(node.getChild(1), 0);


/* 446 */     node.setBalance(r - l);


/* 447 */     if ((r - l > 1) || (r - l < -1))


/* 448 */       balanced = false;


/* 449 */     return ((balanced) && (isAVLcompliant(node.getChild(-1))) && (isAVLcompliant

(node.getChild(1))));

/*     */   }

/*     */ 

/*     */   public int getHeight(BTNode node, int depth)

/*     */   {

/* 454 */     if (node == null)

/* 455 */       return 0;

/* 456 */     if (node.isLeaf()) {

/* 457 */       return (depth + 1);

/*     */     }

/*     */ 

/* 460 */     int lmax = getHeight(node.getChild(-1), depth + 1);

/* 461 */     int rmax = getHeight(node.getChild(1), depth + 1);

/* 462 */     return ((lmax > rmax) ? lmax : rmax);

/*     */   }

/*     */ 

/*     */   public BTNode insertSPL(BTData data)

/*     */   {

/* 474 */     if (this.root == null)

/* 475 */       return add(null, 0, data);

/* 476 */     BTNode node = locate(data);


/* 477 */     splay(this.lastnode);

/* 478 */     return ((node != null) ? null : splitinsert(data));

/*     */   }


/*     */ 

/*     */   public BTNode splitinsert(BTData data)

/*     */   {

/* 483 */     BTNode node = new BTNode(data);

/* 484 */     int side = -this.root.compareSide(data);

/* 485 */     BTNode child = this.root.getChild(-side);

/*     */ 

/* 487 */     this.root.setChild(-side, null);

/* 488 */     link(node, side, this.root);

/* 489 */     link(node, -side, child);

/* 490 */     this.root = node;

/* 491 */     return this.root;

/*     */   }

/*     */ 

/*     */   public BTNode deleteSPL(BTData data, int minmax)

/*     */   {

/* 498 */     BTNode node = locate(data);

/* 499 */     splay(this.lastnode);

/* 500 */     if (node == null)

/* 501 */       return null;

/* 502 */     BTNode root = node;

/* 503 */     node = getSuccessor(root, minmax);

/* 504 */     if (node != null)

/* 505 */       splay(node);

/* 506 */     return remove(root);

/*     */   }

/*     */ 

/*     */   public void splay(BTNode node)

/*     */   {

/* 516 */     while (node != this.root)


/*     */     {

/* 518 */       BTNode parent = node.getParent();


/* 519 */       BTNode grandparent = parent.getParent();

/* 520 */       int side = node.getSide();

/* 521 */       if (grandparent == null) {

/* 522 */         rotate(parent, -side);

/*     */       }

/* 524 */       else if (parent.getSide() == side)

/*     */       {

/* 526 */         rotate(grandparent, -side);

/* 527 */         rotate(parent, -side);

/*     */       }

/*     */       else {

/* 530 */         if (parent.getSide() == side)

/*     */           continue;

/* 532 */         rotate(parent, -side);

/* 533 */         rotate(grandparent, side);

/*     */       }

/*     */     }

/*     */   }

/*     */ 

/*     */   public boolean isSPLcompliant()

/*     */   {



/* 541 */     return true;

/*     */   }


/*     */ 

/*     */   public BTNode insertRBL(BTData data)

/*     */   {

/* 552 */     if (this.root == null)

/*     */     {

/* 554 */       this.root = add(null, 0, data);

/* 555 */       this.root.setColor(2);

/* 556 */       return this.root;

/*     */     }

/* 558 */     if (locate(data) != null)

/* 559 */       return null;

/* 560 */     BTNode node = add(this.lastnode, this.nextside, data);

/* 561 */     node.setColor(1);

/* 562 */     fixRBinsert(node);

/* 563 */     return node;

/*     */   }

/*     */ 

/*     */   public void fixRBinsert(BTNode node)

/*     */   {

/* 571 */     while (node != this.root)
/*     */     {

/* 573 */       BTNode parent = node.getParent();

/* 574 */       if (parent.getColor() == 2)

/*     */         break;

/* 576 */       BTNode grandparent = parent.getParent();

/* 577 */       int side = parent.getSide();

/* 578 */       BTNode uncle = grandparent.getChild(-side);

/* 579 */       if ((uncle != null) && (uncle.getColor() == 1))

/*     */       {

/* 581 */         parent.setColor(2);

/* 582 */         uncle.setColor(2);

/* 583 */         grandparent.setColor(1);

/* 584 */         node = grandparent;

/*     */       }

/* 586 */       else if (node.getSide() == -side)

/*     */       {

/* 588 */         rotate(parent, side);

/* 589 */         node = parent;

/*     */       } else {

/* 591 */         if (node.getSide() != side)

/*     */           continue;

/* 593 */         parent.setColor(2);

/* 594 */         grandparent.setColor(1);

/* 595 */         rotate(grandparent, -side);

/*     */       }

/*     */     }

/* 598 */     this.root.setColor(2);


/*     */   }

/*     */ 

/*     */   public BTNode deleteRBL(BTData data, int minmax)

/*     */   {

/* 606 */     BTNode node = locate(data);

/* 607 */     if (node == null) {

/* 608 */       return null;

/*     */     }

/* 610 */     if (node.hasTwoChildren()) {

/* 611 */       node = swap(node, minmax);

/*     */     }

/* 613 */     int color = node.getColor();

/* 614 */     int side = node.getSide();

/* 615 */     node = remove(node);

/* 616 */     if ((this.root != null) && (side == 0)) {

/* 617 */       this.root.setColor(2);

/*     */     }

/* 619 */     else if ((node != null) && (color == 2))

/* 620 */       fixRBdelete(node, side);

/* 621 */     return node;

/*     */   }

/*     */ 

/*     */   public void fixRBdelete(BTNode parent, int side)

/*     */   {

/* 629 */     BTNode node = parent.getChild(side);

/* 630 */     if ((node != null) && (node.getColor() == 1))

/*     */     {


/* 632 */       node.setColor(2);

/* 633 */       return;

/*     */     }

/*     */ 

/*     */     do

/*     */     {

/* 638 */       if (node != null)



/*     */       {

/* 640 */         parent = node.getParent();

/* 641 */         side = node.getSide();

/*     */       }

/* 643 */       BTNode sibling = parent.getChild(-side);

/* 644 */       BTNode nephew = sibling.getChild(side);

/* 645 */       BTNode niece = sibling.getChild(-side);

/*     */ 

/* 647 */       if (sibling.getColor() == 1)

/*     */       {

/* 649 */         sibling.setColor(2);

/* 650 */         parent.setColor(1);

/* 651 */         rotate(parent, side);

/*     */       }

/* 654 */       else if ((isBlack(nephew)) && (isBlack(niece)))

/*     */       {

/* 656 */         sibling.setColor(1);

/* 657 */         node = (node == null) ? parent : node.getParent();

/*     */       }


/* 660 */       else if ((isBlack(niece)) && (isRed(nephew)))



/*     */       {

/* 662 */         sibling.setColor(1);

/* 663 */         nephew.setColor(2);

/* 664 */         rotate(sibling, -side);

/*     */       }

/*     */       else {

/* 667 */         if (!(isRed(niece)))

/*     */           continue;

/* 669 */         sibling.setColor(parent.getColor());



/* 670 */         parent.setColor(2)
;
/* 671 */         niece.setColor(2);
/* 672 */
         rotate(parent, side);
/* 673 */ 
        node = this.root;
/*     */ 
      }
/*     */ 
    }
/* 636 */ 
    while ((node != this.root) && (isBlack(node)));
/*     */ 
/* 676 */     node.setColor(2);

/*     */   }

/*     */ 

/*     */   public boolean isRed(BTNode node)

/*     */   {



/* 681 */ 


    return ((node != null) && (node.getColor() == 1));
/*     */ 
  }
/*     */ 


/*     */   public boolean isBlack(BTNode node) {

/* 685 */ 

    return ((node == null) || (node.getColor() == 2));
/*     */ 
  }
/*     */ 

/*     */   public boolean isRBLcompliant(BTNode node)

/*     */   {

/* 690 */     return false;


/*     */   }

/*     */ }

Bu tam bir uygulamasıdır. İyi şanslar.

Cevap 17/12/2009 saat 08:43
kaynak kullanıcı

oy
1

Eğer düğüme gidin ve ağaç kırmak kalmamak düğümün ebeveyni ile olan çocukları bağlayamazsınız? Fikir etmektir

  • düğümü bulmak
  • onun çocuklarına referansını kaydetmek
  • Onun ailesine referansını kaydetmek
  • düğümün çocukları link ebeveyn (ler)
  • ancak bundan sonra (serbest) düğüm kaldırma

O daha iyi açıklandığı gibi wikipedia , dikkatli ol ve sahip kaç çocuk belirlemek gerekir. Bundan sonra oldukça basittir.

Cevap 17/12/2009 saat 10:07
kaynak kullanıcı

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