在線生成紅黑樹（含變形步驟）
爲了你們方便學習和講解紅黑樹，特製做這個在線生成紅黑樹。並且每次刪除和新增破壞了紅黑樹特性致使變形，還會羅列出變形步驟。html
學數據結構推薦你們查看 skywang12345（若是天空不死）的博客 http://www.cnblogs.com/skywang12345/p/3603935.htmlnode
在線演示地址：http://sandbox.runjs.cn/show/2nngvn8wcanvas
源碼：數據結構
<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<title>在線生成紅黑樹（含變形步驟）</title>
</head>
<body>
<div>
<ul>
<li>增長節點</li>
<li>方式一：<input type="button" value="隨機增長一個節點" title="隨機增長一個節點" onclick="AddRandom()" /></li>
<li>方式二：<input id="numbertext" title="" placeholder="請用,(單字節)分割數字,0-999之間的數字" value="" /><input type="button" value="一個一個節點增長" title="增長一個節點" onclick="AddOneNumber()" /></li>
<li></li>
<li>刪除節點</li>
<li><input id="deleteNumberText" type="text" placeholder="請輸入須要刪除的節點" /><input type="button" value="刪除" onclick="DeleteNumber()" /> </li>
<li></li>
<li>參考： http://www.cnblogs.com/skywang12345/p/3603935.html </li>
</ul>
</div>
<form>
<fieldset>
<legend>紅黑樹</legend>
<div id="currentView"></div>
</fieldset>
</form>
<form id="stepView"></form>
<!--個人博客： http://www.cnblogs.com/bbvi/ -->
<script>
var NodeColor = { Black: "black", Red: "red" };
var RBNode = function (_date, _paret, _color) {
this.Data = _date;
this.Parent = _paret;
this.Color = _color;
this.LeftNode = null;
this.RightNode = null;
}
var RedBlackBinaryTree = function () {
this.RootNode = null;//根節點
this.Insert = function (insertValue) {
if (this.RootNode == null) {
this.RootNode = new RBNode(insertValue, null, NodeColor.Black);
} else {
var newNode = insert.call(this, insertValue);
insertFixUp.call(this, newNode);
}
}
function insert(key) {
ClearStepView();//清空分解步驟
var node = this.RootNode;
var newNode = new RBNode(key, null, NodeColor.Red);
while (true) {
if (key > node.Data) {
if (node.RightNode == null) {
newNode.Parent = node;
node.RightNode = newNode;
break;
}
node = node.RightNode;
} else if (key < node.Data) {
if (node.LeftNode == null) {
newNode.Parent = node;
node.LeftNode = newNode;
break;
}
node = node.LeftNode;
} else {
break;
}
}
return newNode;
}
function insertFixUp(node) {
var parentNode = node.Parent;
if (parentNode != null && NodeColor.Red == parentNode.Color) {
var gprentNode = parentNode.Parent;
if (parentNode == gprentNode.LeftNode) {
var uncleNode = gprentNode.RightNode;
if (uncleNode != null && NodeColor.Red == uncleNode.Color) {
CreateStepView(this.RootNode, "insertCaseA1", node.Data);//記錄分解步驟
parentNode.Color = NodeColor.Black;
uncleNode.Color = NodeColor.Black;
gprentNode.Color = NodeColor.Red;
CreateStepView(this.RootNode, "insertSolutionA1");//記錄分解步驟
insertFixUp.call(this, gprentNode);
} else {
if (parentNode.RightNode == node) {
CreateStepView(this.RootNode, "insertCaseB1", node.Data);//記錄分解步驟
leftRotation.call(this, parentNode);
CreateStepView(this.RootNode, "insertSolutionB1");//記錄分解步驟
insertFixUp.call(this, parentNode);
} else if (parentNode.LeftNode == node) {
CreateStepView(this.RootNode, "insertCase3", node.Data);//記錄分解步驟
parentNode.Color = NodeColor.Black;
gprentNode.Color = NodeColor.Red;
rightRotation.call(this, gprentNode);
CreateStepView(this.RootNode, "insertSolution3");//記錄分解步驟
}
}
} else {
var uncleNode = gprentNode.LeftNode;
if (uncleNode != null && NodeColor.Red == uncleNode.Color) {
CreateStepView(this.RootNode, "insertCaseA1", node.Data);//記錄分解步驟
parentNode.Color = NodeColor.Black;
uncleNode.Color = NodeColor.Black;
gprentNode.Color = NodeColor.Red;
CreateStepView(this.RootNode, "insertSolutionA1");//記錄分解步驟
insertFixUp.call(this, gprentNode);
} else {
if (parentNode.LeftNode == node) {
CreateStepView(this.RootNode, "insertCase4", node.Data);//記錄分解步驟
rightRotation.call(this, parentNode);
CreateStepView(this.RootNode, "insertSolution4");//記錄分解步驟
insertFixUp.call(this, parentNode);
} else if (parentNode.RightNode == node) {
CreateStepView(this.RootNode, "insertCase5", node.Data);//記錄分解步驟
parentNode.Color = NodeColor.Black;
gprentNode.Color = NodeColor.Red;
leftRotation.call(this, gprentNode);
CreateStepView(this.RootNode, "insertSolution5");//記錄分解步驟
}
}
}
}
this.RootNode.Color = NodeColor.Black;
}
function leftRotation(node) {
var temp = node.RightNode;
node.RightNode = temp.LeftNode;
if (temp.LeftNode != null) {
temp.LeftNode.Parent = node;
}
temp.Parent = node.Parent;
if (node.Parent == null) {
this.RootNode = temp;
}
else {
if (node.Parent.LeftNode == node) {
node.Parent.LeftNode = temp;
} else {
node.Parent.RightNode = temp;
}
}
temp.LeftNode = node;
node.Parent = temp;
}
function rightRotation(node) {
var temp = node.LeftNode;
node.LeftNode = temp.RightNode;
if (temp.RightNode != null) {
temp.RightNode.Parent = node;
}
temp.Parent = node.Parent;
if (node.Parent == null) {
this.RootNode = temp;
} else {
if (node == node.Parent.RightNode) {
node.Parent.RightNode = temp;
} else {
node.Parent.LeftNode = temp;
}
}
temp.RightNode = node;
node.Parent = temp;
}
this.Remove = function (key) {
var node = search.call(this, this.RootNode, key);
if (node == null) {
return;
} else {
remove.call(this, node);
}
}
function remove(node) {
ClearStepView();//清空分解步驟
var child, parent, nodeColor;
if (node.LeftNode != null && node.RightNode != null) {
CreateStepView(this.RootNode, "deleteCase8", node.Data);//記錄分解步驟
var tempNode = findMin(node.RightNode);
if (node.Parent == null) {
this.RootNode = tempNode;
} else {
if (node.Parent.LeftNode == node) {
node.Parent.LeftNode = tempNode;
} else {
node.Parent.RightNode = tempNode;
}
}
child = tempNode.RightNode;
parent = tempNode.Parent;
nodeColor = tempNode.Color;
if (parent.Data == node.Data) {
parent = tempNode;
} else {
if (child != null) {
child.Parent = parent;
}
parent.LeftNode = child;
tempNode.RightNode = node.RightNode;
node.RightNode.Parent = tempNode;
}
tempNode.Parent = node.Parent;
tempNode.Color = node.Color;
tempNode.LeftNode = node.LeftNode
node.LeftNode.Parent = tempNode;
CreateStepView(this.RootNode, "deleteSolution8");//記錄分解步驟
if (nodeColor == NodeColor.Black) {
removeFixUp.call(this, child, parent);
}
} else {
CreateStepView(this.RootNode, "deleteCase9", node.Data);//記錄分解步驟
if (node.LeftNode != null) {
child = node.LeftNode;
} else {
child = node.RightNode;
}
parent = node.Parent;
nodeColor = node.Color;
if (child != null) {
child.Parent = parent;
}
if (parent != null) {
if (parent.LeftNode != null && parent.LeftNode.Data == node.Data) {
parent.LeftNode = child;
} else {
parent.RightNode = child;
}
} else {
this.RootNode = child;
}
CreateStepView(this.RootNode, "deleteSolution9");//記錄分解步驟
if (nodeColor == NodeColor.Black) {
removeFixUp.call(this, child, parent)
}
}
node = null;
}
function removeFixUp(node, parentNode) {
var otherNode;
while ((node == null || node.Color == NodeColor.Black) && (node != this.RootNode)) {
if (parentNode.LeftNode == node) {
otherNode = parentNode.RightNode;
if (otherNode.Color == NodeColor.Red) {
CreateStepView(this.RootNode, "deleteCase1");//記錄分解步驟
otherNode.Color = NodeColor.Black;
parentNode.Color = NodeColor.Red;
leftRotation.call(this, parentNode);
otherNode = parentNode.RightNode;
CreateStepView(this.RootNode, "deleteSolution1");//記錄分解步驟
}
if ((otherNode.LeftNode == null || otherNode.LeftNode.Color == NodeColor.Black) &&
(otherNode.RightNode == null || otherNode.RightNode.Color == NodeColor.Black)) {
CreateStepView(this.RootNode, "deleteCase3");//記錄分解步驟
otherNode.Color = NodeColor.Red;
node = parentNode;
parentNode = node.Parent;
CreateStepView(this.RootNode, "deleteSolution3");//記錄分解步驟
} else {
if (otherNode.RightNode == null || otherNode.RightNode.Color == NodeColor.Black) {
CreateStepView(this.RootNode, "deleteCase4");//記錄分解步驟
otherNode.LeftNode.Color == NodeColor.Black;
otherNode.Color = NodeColor.Red;
rightRotation.call(this, otherNode);
otherNode = parentNode.RightNode;
CreateStepView(this.RootNode, "deleteSolution4");//記錄分解步驟
}
CreateStepView(this.RootNode, "deleteCase6");//記錄分解步驟
otherNode.Color = parentNode.Color;
parentNode.Color = NodeColor.Black;
otherNode.RightNode.Color = NodeColor.Black;
leftRotation.call(this, parentNode);
node = this.RootNode;
CreateStepView(this.RootNode, "deleteSolution6");//記錄分解步驟
break;
}
} else {
otherNode = parentNode.LeftNode;
if (otherNode.Color == NodeColor.Red) {
CreateStepView(this.RootNode, "deleteCase2");//記錄分解步驟
otherNode.Color = NodeColor.Black;
parentNode.Color = NodeColor.Red;
rightRotation.call(this, parentNode);
otherNode = parentNode.LeftNode;
CreateStepView(this.RootNode, "deleteSolution2");//記錄分解步驟
}
if ((otherNode.LeftNode == null || otherNode.LeftNode.Color == NodeColor.Black) &&
(otherNode.RightNode == null || otherNode.RightNode.Color == NodeColor.Black)) {
CreateStepView(this.RootNode, "deleteCase3");//記錄分解步驟
otherNode.Color = NodeColor.Red;
node = parentNode;
parentNode = node.parent;
CreateStepView(this.RootNode, "deleteSolution3");//記錄分解步驟
} else {
if (otherNode.LeftNode == null || otherNode.LeftNode.Color == NodeColor.Black) {
CreateStepView(this.RootNode, "deleteCase5");//記錄分解步驟
otherNode.RightNode.Color = NodeColor.Black;
otherNode.Color = NodeColor.Red;
leftRotation.call(this, otherNode);
otherNode = parentNode.LeftNode;
CreateStepView(this.RootNode, "deleteSolution5");//記錄分解步驟
}
CreateStepView(this.RootNode, "deleteCase7");//記錄分解步驟
otherNode.Color = parentNode.Color;
parentNode.Color = NodeColor.Black;
otherNode.LeftNode.Color = NodeColor.Black;
rightRotation.call(this, parentNode);
node = this.RootNode;
CreateStepView(this.RootNode, "deleteSolution7");//記錄分解步驟
break;
}
}
}
if (node != null) {
node.Color = NodeColor.Black;
}
}
this.Search = function (key) {
return search.call(this, this.RootNode, key);
}
function search(node, key) {
if (node == null) {
return null;
}
if (node.Data > key) {
return search(node.LeftNode, key);
} else if (node.Data < key) {
return search(node.RightNode, key);
} else {
return node;
}
}
this.FindMin = function () {
return findMin(this.RootNode);
}
function findMin(node) {
if (node.LeftNode == null) {
return node;
}
return findMin(node.LeftNode);
}
this.FindMax = function () {
return findMax(this.RootNode)
}
function findMax(node) {
if (node.RightNode == null) {
return node;
}
return findMax(node.RightNode);
}
this.SearchRange = function (minKey, maxKey) {
return searchRange(minKey, maxKey, this.RootNode, []);
}
function searchRange(minKey, maxKey, node, nodeList) {
if (node == null) {
return nodeList;
}
if (node.Data > minKey) {
searchRange(minKey, maxKey, node.LeftNode, nodeList);
}
if (node.Data >= minKey && node.Data < maxKey) {
nodeList.push(node.Data);
}
if (node.Data < maxKey) {
searchRange(minKey, maxKey, node.RightNode, nodeList);
}
return nodeList;
}
this.LevelOrder = function (action) {
levelOrder(this.RootNode, action);
}
function levelOrder(node, action) {
var stack = [];
stack.push(node);
while (stack.length > 0) {
var temp = stack.pop();
action(temp);
if (temp.LeftNode != null) {
stack.push(temp.LeftNode);
}
if (temp.RightNode != null) {
stack.push(temp.RightNode);
}
}
}
this.PreOrder = function (action) {
treeOrder(this.RootNode, action, null, null);
}
this.InOrder = function (action) {
treeOrder(this.RootNode, null, action, null);
}
this.PostOrder = function (action) {
treeOrder(this.RootNode, null, null, action);
}
function treeOrder(node, preOrderAction, inOrderAction, postOrderAction) {
if (preOrderAction) {
preOrderAction(node);
}
if (node.LeftNode != null) {
treeOrder(node.LeftNode, preOrderAction, inOrderAction, postOrderAction);
}
if (inOrderAction) {
inOrderAction(node);
}
if (node.RightNode != null) {
treeOrder(node.RightNode, preOrderAction, inOrderAction, postOrderAction);
}
if (postOrderAction) {
postOrderAction(node);
}
}
}
</script>
<script>
var height = 50;//節點之間的高
var width = 15;//節點之間的寬
var tops = 40;//根節點離頂部的距離
var foot = 40;//樹離底部距離
var spacing = 30;//樹分別離兩邊的間距
var tree = new RedBlackBinaryTree();
function AddOneNumber() {
var numbertext = document.getElementById("numbertext").value;
var oneNums = numbertext.match(/[1-9][0-9]{0,2}\,?/);
document.getElementById("numbertext").value = numbertext.replace(/[1-9][0-9]{0,2}\,?/, "");
var num = (oneNums + "").match(/[1-9][0-9]{0,2}/);
if (!!num) {
AddNumber(parseInt(num));
}
}
function AddRandom() {
AddNumber(Math.floor(Math.random() * (1000)));
}
function AddAllNumber() {
while (true) {
AddOneNumber();
var numbertext = document.getElementById("numbertext").value;
if (!/[1-9][0-9]{0,2}/.test(numbertext)) {
break;
}
}
}
function AddNumber(number) {
tree.Insert(number);
RenewView(tree);
}
function DeleteNumber() {
var deleteNumberText = document.getElementById("deleteNumberText").value;
if (!deleteNumberText.match(/^[1-9][0-9]{0,2}$/)) {
alert("請正確輸入1-999的整數");
return false;
}
var number = parseInt(deleteNumberText);
var isExist = tree.Search(number);
if (!isExist)
{
alert("不存在此節點");
return false;
}
tree.Remove(number);
document.getElementById("deleteNumberText").value = '';
RenewView(tree);
}
function RenewView(_tree) {
var currentView = document.getElementById("currentView");
currentView.innerHTML = '';
CreateTreeView(_tree.RootNode, currentView);
}
function CreateTreeView(rootNode, hostDocument) {
var size = SetCanvasWidthHeight(rootNode);
var canvas = document.createElement("canvas");
canvas.style.backgroundColor = "antiquewhite";
canvas.style.display = "block";
canvas.height = size.height;
canvas.width = size.width;
var context = canvas.getContext("2d");
hostDocument.appendChild(canvas);
SetPoint(rootNode);
PreOrder(rootNode, SetPreOrder, context, canvas.width);
}
function PreOrder(node, action, context, canvasWidth) {
action(node, context, canvasWidth);
if (node.LeftNode != null) {
PreOrder(node.LeftNode, action, context, canvasWidth);
}
if (node.RightNode != null) {
PreOrder(node.RightNode, action, context, canvasWidth);
}
}
function SetCanvasWidthHeight(rootNode) {
var level = Level(rootNode);
return {
height: height * level + tops + foot,
width: Math.pow(2, level + 1) * width + spacing * 2
};
}
function SetPreOrder(node, context, canvasWidth) {
var container = drawArc(
context,
node.Data,
canvasWidth / 2 + width * node.nodePoint,
(node.nodeLevel * height + parseInt(tops)),
node.Color);
if (node.Parent != null) {
var line = linkNode(
context,
(canvasWidth / 2 + width * node.Parent.nodePoint),
(node.Parent.nodeLevel * height + parseInt(tops)),
(node.Data, canvasWidth / 2 + width * node.nodePoint),
(node.nodeLevel * height + parseInt(tops)));
}
}
//生產節點
function drawArc(context, number, x, y, color) {
//圓
context.beginPath();
context.fillStyle = color;
context.arc(x, y, 15, (Math.PI / 180) * 0, (Math.PI / 180) * 360, false);
context.fill();
context.closePath();
//數字
var textX = x;
var textY = y + 5;
if (number < 10) {
textX -= 5;
} else if (number > 9 && number < 100) {
textX -= 8;
} else {
textX -= 12;
}
context.fillStyle = "white";
context.font = "bold 15px Arial";
context.fillText(number + "", textX, textY);
}
//連接節點
function linkNode(context, fatherNodeX, fatherNodeY, childrenNodeX, childrenNodeY) {
drawLine(context, fatherNodeX, fatherNodeY + 15, childrenNodeX, childrenNodeY - 15);
}
//生產線
function drawLine(context, x, y, toX, toY) {
context.moveTo(x, y);
context.lineTo(x, y);
context.lineTo(toX, toY);
context.stroke();
}
var maxLevel;
var level;
function Level(rootNode) {
maxLevel = 0;
level = 0;
return levels(rootNode);
}
function levels(node) {
if (node.LeftNode != null) {
level++;
levels(node.LeftNode);
}
maxLevel = Math.max(maxLevel, level);
if (node.RightNode != null) {
level++;
levels(node.RightNode);
}
level--;
return maxLevel;
}
function SetPoint(rootNode) {
var thisMaxLevel = Level(rootNode);
var childQuanty = Math.pow(2, thisMaxLevel);
rootNode.nodeLevel = 0;
rootNode.nodePoint = 0;
if (rootNode.LeftNode != null) {
setPointsLeft(rootNode.LeftNode, -1 * childQuanty / 2, 0, thisMaxLevel - 1);
}
if (rootNode.RightNode != null) {
setPointsRight(rootNode.RightNode, childQuanty / 2, 0, thisMaxLevel - 1);
}
}
function setPointsLeft(node, point, levels, thisMaxLevel) {
++levels;
node.nodeLevel = levels;
node.nodePoint = point;
if (node.LeftNode != null) {
setPointsLeft(node.LeftNode, point - Math.pow(2, thisMaxLevel - levels), levels, thisMaxLevel);
}
if (node.RightNode != null) {
setPointsLeft(node.RightNode, point + Math.pow(2, thisMaxLevel - levels), levels, thisMaxLevel);
}
}
function setPointsRight(node, point, levels, thisMaxLevel) {
++levels;
node.nodeLevel = levels;
node.nodePoint = point;
if (node.LeftNode != null) {
setPointsRight(node.LeftNode, point - Math.pow(2, thisMaxLevel - levels), levels, thisMaxLevel);
}
if (node.RightNode != null) {
setPointsRight(node.RightNode, point + Math.pow(2, thisMaxLevel - levels), levels, thisMaxLevel);
}
}
var stepRemark = {
"insertCaseA1": {
"title": "插入節點狀況A1",
"remark": [
"當前節點的父節點是紅色，且當前節點的祖父節點的另外一個子節點（叔叔節點）也是紅色"
]
},
"insertSolutionA1": {
"title": "插入節點狀況A1的解決方案",
"remark": [
"(01) 將「父節點」設爲黑色",
"(02) 將「叔叔節點」設爲黑色",
"(03) 將「祖父節點」設爲「紅色",
"(04) 將「祖父節點」設爲「當前節點」(紅色節點)；即，以後繼續對「當前節點」進行操做"
]
},
"insertCaseB1": {
"title": "插入節點狀況2",
"remark": [
"當前節點的父節點是紅色，叔叔節點是黑色，且當前節點是其父節點的右孩子"
]
},
"insertSolutionB1": {
"title": "插入節點狀況2的解決方案",
"remark": [
"(01) 將「父節點」做爲「新的當前節點」",
"(02) 以「新的當前節點」爲支點進行左旋",
]
},
"insertCase3": {
"title": "插入節點狀況3",
"remark": [
"當前節點的父節點是紅色，叔叔節點是黑色，且當前節點是其父節點的左孩子"
]
},
"insertSolution3": {
"title": "插入節點狀況3的解決方案",
"remark": [
"(01) 將「父節點」設爲「黑色」",
"(02) 將「祖父節點」設爲「紅色」",
"(03) 以「祖父節點」爲支點進行右旋"
]
},
"insertCase4": {
"title": "插入節點狀況4",
"remark": [
"當前節點的父節點是紅色，叔叔節點是黑色，且當前節點是其父節點的左孩子"
]
},
"insertSolution4": {
"title": "插入節點狀況4的解決方案",
"remark": [
"(01) 將「父節點」做爲「新的當前節點」",
"(02) 以「新的當前節點」爲支點進行右旋",
]
},
"insertCase5": {
"title": "插入節點狀況5",
"remark": [
"當前節點的父節點是紅色，叔叔節點是黑色，且當前節點是其父節點的右孩子"
]
},
"insertSolution5": {
"title": "插入節點狀況5的解決方案",
"remark": [
"(01) 將「父節點」設爲「黑色」",
"(02) 將「祖父節點」設爲「紅色」",
"(03) 以「祖父節點」爲支點進行左旋"
]
},
"deleteCase1": {
"title": "刪除節點狀況1",
"remark": [
"被刪節點是「黑+黑」節點，被刪除的節點是左節點，被刪節點的兄弟節點是紅色。(此時被刪節點的父節點和x的兄弟節點的子節點都是黑節點)。"
]
},
"deleteSolution1": {
"title": "刪除節點狀況1解決方案",
"remark": [
"(01) 將x的兄弟節點設爲「黑色」。",
"(02) 將x的父節點設爲「紅色」。",
"(03) 對x的父節點進行左旋。",
"(04) 左旋後，從新設置x的兄弟節點。"
]
},
"deleteCase2": {
"title": "刪除節點狀況2",
"remark": [
"被刪節點是「黑+黑」節點，被刪除的節點是右節點，被刪節點的兄弟節點是紅色。(此時被刪節點的父節點和x的兄弟節點的子節點都是黑節點)。"
]
},
"deleteSolution2": {
"title": "刪除節點狀況2解決方案",
"remark": [
"(01) 將被刪節點的兄弟節點設爲「黑色」。",
"(02) 將被刪節點的父節點設爲「紅色」。",
"(03) 對被刪節點的父節點進行右旋。",
"(04) 右旋後，從新設置x的兄弟節點。"
]
},
"deleteCase3": {
"title": "刪除節點狀況3",
"remark": [
"被刪節點是「黑+黑」節點，被刪節點的兄弟節點是黑色，被刪節點的兄弟節點的兩個孩子都是黑色。"
]
},
"deleteSolution3": {
"title": "刪除節點狀況3解決方案",
"remark": [
"(01) 將被刪節點的兄弟節點設爲「紅色」。",
"(02) 設置「被刪節點的父節點」爲「新的被刪節點節點」。"
]
},
"deleteCase4": {
"title": "刪除節點狀況4",
"remark": [
"將被刪節點是「黑+黑」節點，被刪節點的兄弟節點是黑色；將被刪節點的兄弟節點的左孩子是紅色，右孩子是黑色的。"
]
},
"deleteSolution4": {
"title": "刪除節點狀況4解決方案",
"remark": [
"(01) 將被刪節點兄弟節點的左孩子設爲「黑色」。",
"(02) 將被刪節點兄弟節點設爲「紅色」。",
"(03) 對被刪節點的兄弟節點進行右旋。",
"(04) 右旋後，從新設置被刪節點的兄弟節點。",
]
},
"deleteCase5": {
"title": "刪除節點狀況5",
"remark": [
"被刪節點是「黑+黑」節點，被刪節點的兄弟節點是黑色；被刪節點的兄弟節點的左孩子是黑色，右孩子是紅色的。"
]
},
"deleteSolution5": {
"title": "刪除節點狀況5解決方案",
"remark": [
"(01) 將被刪節點兄弟節點的右孩子設爲「黑色」。",
"(02) 將被刪節點兄弟節點設爲「紅色」。",
"(03) 對被刪節點的兄弟節點進行左旋。",
"(04) 左旋後，從新設置被刪節點的兄弟節點。",
]
},
"deleteCase6": {
"title": "刪除節點狀況6",
"remark": [
"被刪節點是「黑+黑」節點，被刪節點的兄弟節點是黑色；被刪節點的兄弟節點的右孩子是紅色的，被刪節點的兄弟節點的左孩子任意顏色。"
]
},
"deleteSolution6": {
"title": "刪除節點狀況6解決方案",
"remark": [
"(01) 將被刪節點父節點顏色 賦值給 被刪節點的兄弟節點。",
"(02) 將被刪節點父節點設爲「黑色」。",
"(03) 將被刪節點兄弟節點的右子節點設爲「黑色」。",
"(04) 對被刪節點的父節點進行左旋。",
"(05) 設置「被刪節點」爲「根節點」。"
]
},
"deleteCase7": {
"title": "刪除節點狀況7",
"remark": [
"被刪節點是「黑+黑」節點，被刪節點的兄弟節點是黑色；被刪節點的兄弟節點的左孩子是紅色的，被刪節點的兄弟節點的右孩子任意顏色。"
]
},
"deleteSolution7": {
"title": "刪除節點狀況7解決方案",
"remark": [
"(01) 將被刪節點父節點顏色 賦值給 被刪節點的兄弟節點。",
"(02) 將被刪節點父節點設爲「黑色」。",
"(03) 將被刪節點兄弟節點的左子節設爲「黑色」。",
"(04) 對被刪節點的父節點進行右旋。",
"(05) 設置「被刪節點」爲「根節點」。"
]
},
"deleteCase8": {
"title": "刪除節點狀況8",
"remark": [
"被刪節點有兩個子節點"
]
},
"deleteSolution8": {
"title": "刪除節點狀況8解決方案",
"remark": [
"(01) 將被刪節點右節點的子孫節點中找出小的節點，替換被刪節點。",
]
},
"deleteCase9": {
"title": "刪除節點狀況9",
"remark": [
"被刪節點只有一個子節點或無子節點"
]
},
"deleteSolution9": {
"title": "刪除節點狀況9解決方案",
"remark": [
"(01) 將惟一的子節點替換被刪節點。",
]
}
};
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var li = document.createElement("li");
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