当红黑树的一个黑色节点有两个都是红色的子节点时,为什么我们需要固定颜色?
我正在学习如何在Java中实现红黑树,我查阅了Sanfoundry的源代码:https://www.sanfoundry.com/java-program-implement-red-black-tree/ 但是我不能理解插入节点的函数 代码如下:
public void insert(int item) {
current = parent = grand = header;
nullNode.element = item;
while (current.element != item) {
great = grand;
grand = parent;
parent = current;
current = item < current.element ? current.left : current.right;
// Check if two red children and fix if so
if (current.left.color == RED && current.right.color == RED) {
handleReorient(item);
}
}
// Insertion fails if already present
if (current != nullNode) {
return;
}
current = new RedBlackNode(item, nullNode, nullNode);
// Attach to parent
if (item < parent.element) {
parent.left = current;
} else {
parent.right = current;
}
handleReorient(item);
}
private void handleReorient(int item) {
// Do the color flip
current.color = RED;
current.left.color = BLACK;
current.right.color = BLACK;
if (parent.color == RED) {
// Have to rotate
grand.color = RED;
if (item < grand.element != item < parent.element) {
parent = rotate(item, grand); // Start dbl rotate
}
current = rotate(item, great);
current.color = BLACK;
}
// Make root black
header.right.color = BLACK;
}
private RedBlackNode rotate(int item, RedBlackNode parent) {
if (item < parent.element) {
return parent.left = item < parent.left.element ? rotateWithLeftChild(parent.left) : rotateWithRightChild(parent.left);
} else {
return parent.right = item < parent.right.element ? rotateWithLeftChild(parent.right) : rotateWithRightChild(parent.right);
}
}
/* Rotate binary tree node with left child */
private RedBlackNode rotateWithLeftChild(RedBlackNode k2) {
RedBlackNode k1 = k2.left;
k2.left = k1.right;
k1.right = k2;
return k1;
}
/* Rotate binary tree node with right child */
private RedBlackNode rotateWithRightChild(RedBlackNode k1) {
RedBlackNode k2 = k1.right;
k1.right = k2.left;
k2.left = k1;
return k2;
}
有谁能解释一下,当一个黑色节点既有两个红色子节点,又有HandleroOrient函数tks all的含义时,为什么我们需要修复颜色
# 1 楼答案
通常来说
但我看到了插入代码,尤其是Sedgewick的左倾红黑树,红黑树旁的红黑树为向下插入做好了“准备”。 看这里 Left-Leaning Red-Black Trees 请看第20页和第21页。您会发现,对于2-3-4树,具有4个元素的节点在向下的过程中被拆分。在红黑树中,一个4节点相当于一个有两个红色子节点的黑色节点
handleReorient()相当于执行拆分(相当于重新资源化)的代码