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在线生成红黑树(含变形步骤)

时间:2016-06-12 00:23:09      阅读:443      评论:0      收藏:0      [点我收藏+]

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为了大家方便学习和讲解红黑树,特制作这个在线生成红黑树。而且每次删除和新增破坏了红黑树特性导致变形,还会罗列出变形步骤。

在线演示地址:http://sandbox.runjs.cn/show/2nngvn8w

 

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源码:

<!DOCTYPE html>
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
    <meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
    <title>在线生成红黑树(含变形步骤)</title>

</head>
<body>
    <div>
        <ul>
            <li>增加节点</li>
            <li>方式一:<input type="button" value="随机增加一个节点" title="随机增加一个节点" onclick="AddRandom()" /></li>
            <li>方式二:<input id="numbertext" title="" placeholder="请用,(单字节)分割数字,0-999之间的数字" value="" /><input type="button" value="一个一个节点增加" title="增加一个节点" onclick="AddOneNumber()" /></li>
            <li></li>
            <li>删除节点</li>
            <li><input id="deleteNumberText" type="text" placeholder="请输入需要删除的节点" /><input type="button" value="删除" onclick="DeleteNumber()" /> </li>
            <li></li>
            <li>参考:  http://www.cnblogs.com/skywang12345/p/3603935.html </li>
        </ul>
    </div>
    <form>
        <fieldset>
            <legend>红黑树</legend>
            <div id="currentView"></div>
        </fieldset>
    </form>
    <form id="stepView"></form>
 <!--我的博客: 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;//根节点

            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();//清空分解步骤
                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);//记录分解步骤
                            parentNode.Color = NodeColor.Black;
                            uncleNode.Color = NodeColor.Black;
                            gprentNode.Color = NodeColor.Red;
                            CreateStepView(this.RootNode, "insertSolutionA1");//记录分解步骤
                            insertFixUp.call(this, gprentNode);
                        } else {
                            if (parentNode.RightNode == node) {
                                CreateStepView(this.RootNode, "insertCaseB1", node.Data);//记录分解步骤
                                leftRotation.call(this, parentNode);
                                CreateStepView(this.RootNode, "insertSolutionB1");//记录分解步骤
                                insertFixUp.call(this, parentNode);
                            } else if (parentNode.LeftNode == node) {
                                CreateStepView(this.RootNode, "insertCase3", node.Data);//记录分解步骤
                                parentNode.Color = NodeColor.Black;
                                gprentNode.Color = NodeColor.Red;
                                rightRotation.call(this, gprentNode);
                                CreateStepView(this.RootNode, "insertSolution3");//记录分解步骤
                            }
                        }
                    } else {
                        var uncleNode = gprentNode.LeftNode;
                        if (uncleNode != null && NodeColor.Red == uncleNode.Color) {
                            CreateStepView(this.RootNode, "insertCaseA1", node.Data);//记录分解步骤
                            parentNode.Color = NodeColor.Black;
                            uncleNode.Color = NodeColor.Black;
                            gprentNode.Color = NodeColor.Red;
                            CreateStepView(this.RootNode, "insertSolutionA1");//记录分解步骤
                            insertFixUp.call(this, gprentNode);
                        } else {
                            if (parentNode.LeftNode == node) {
                                CreateStepView(this.RootNode, "insertCase4", node.Data);//记录分解步骤
                                rightRotation.call(this, parentNode);
                                CreateStepView(this.RootNode, "insertSolution4");//记录分解步骤
                                insertFixUp.call(this, parentNode);
                            } else if (parentNode.RightNode == node) {
                                CreateStepView(this.RootNode, "insertCase5", node.Data);//记录分解步骤
                                parentNode.Color = NodeColor.Black;
                                gprentNode.Color = NodeColor.Red;
                                leftRotation.call(this, gprentNode);
                                CreateStepView(this.RootNode, "insertSolution5");//记录分解步骤
                            }
                        }
                    }
                }
                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();//清空分解步骤
                
                var child, parent, nodeColor;
                if (node.LeftNode != null && node.RightNode != null) {
                    CreateStepView(this.RootNode, "deleteCase8", node.Data);//记录分解步骤
                    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");//记录分解步骤

                    if (nodeColor == NodeColor.Black) {
                        removeFixUp.call(this, child, parent);
                    }
                } else {
                    CreateStepView(this.RootNode, "deleteCase9", node.Data);//记录分解步骤
                    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");//记录分解步骤

                    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");//记录分解步骤
                            otherNode.Color = NodeColor.Black;
                            parentNode.Color = NodeColor.Red;
                            leftRotation.call(this, parentNode);
                            otherNode = parentNode.RightNode;
                            CreateStepView(this.RootNode, "deleteSolution1");//记录分解步骤
                        }

                        if ((otherNode.LeftNode == null || otherNode.LeftNode.Color == NodeColor.Black) &&
                           (otherNode.RightNode == null || otherNode.RightNode.Color == NodeColor.Black)) {
                            CreateStepView(this.RootNode, "deleteCase3");//记录分解步骤
                            otherNode.Color = NodeColor.Red;
                            node = parentNode;
                            parentNode = node.Parent;
                            CreateStepView(this.RootNode, "deleteSolution3");//记录分解步骤
                        } else {
                            if (otherNode.RightNode == null || otherNode.RightNode.Color == NodeColor.Black) {
                                CreateStepView(this.RootNode, "deleteCase4");//记录分解步骤
                                otherNode.LeftNode.Color == NodeColor.Black;
                                otherNode.Color = NodeColor.Red;
                                rightRotation.call(this, otherNode);
                                otherNode = parentNode.RightNode;
                                CreateStepView(this.RootNode, "deleteSolution4");//记录分解步骤
                            }

                            CreateStepView(this.RootNode, "deleteCase6");//记录分解步骤
                            otherNode.Color = parentNode.Color;
                            parentNode.Color = NodeColor.Black;
                            otherNode.RightNode.Color = NodeColor.Black;
                            leftRotation.call(this, parentNode);
                            node = this.RootNode;
                            CreateStepView(this.RootNode, "deleteSolution6");//记录分解步骤
                            break;
                        }
                    } else {
                        otherNode = parentNode.LeftNode;
                        if (otherNode.Color == NodeColor.Red) {
                            CreateStepView(this.RootNode, "deleteCase2");//记录分解步骤
                            otherNode.Color = NodeColor.Black;
                            parentNode.Color = NodeColor.Red;
                            rightRotation.call(this, parentNode);
                            otherNode = parentNode.LeftNode;
                            CreateStepView(this.RootNode, "deleteSolution2");//记录分解步骤
                        }

                        if ((otherNode.LeftNode == null || otherNode.LeftNode.Color == NodeColor.Black) &&
                            (otherNode.RightNode == null || otherNode.RightNode.Color == NodeColor.Black)) {
                            CreateStepView(this.RootNode, "deleteCase3");//记录分解步骤
                            otherNode.Color = NodeColor.Red;
                            node = parentNode;
                            parentNode = node.parent;
                            CreateStepView(this.RootNode, "deleteSolution3");//记录分解步骤
                        } else {
                            if (otherNode.LeftNode == null || otherNode.LeftNode.Color == NodeColor.Black) {
                                CreateStepView(this.RootNode, "deleteCase5");//记录分解步骤
                                otherNode.RightNode.Color = NodeColor.Black;
                                otherNode.Color = NodeColor.Red;
                                leftRotation.call(this, otherNode);
                                otherNode = parentNode.LeftNode;
                                CreateStepView(this.RootNode, "deleteSolution5");//记录分解步骤
                            }
                            CreateStepView(this.RootNode, "deleteCase7");//记录分解步骤
                            otherNode.Color = parentNode.Color;
                            parentNode.Color = NodeColor.Black;
                            otherNode.LeftNode.Color = NodeColor.Black;
                            rightRotation.call(this, parentNode);
                            node = this.RootNode;
                            CreateStepView(this.RootNode, "deleteSolution7");//记录分解步骤
                            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;//节点之间的高
        var width = 15;//节点之间的宽
        var tops = 40;//根节点离顶部的距离
        var foot = 40;//树离底部距离
        var spacing = 30;//树分别离两边的间距

        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("请正确输入1-999的整数");
                return false;
            }
            var number = parseInt(deleteNumberText);
            var isExist = tree.Search(number);
            if (!isExist)
            {
                alert("不存在此节点");
                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)));
            }
        }

        //生产节点
        function drawArc(context, number, x, y, color) {
            //
            context.beginPath();
            context.fillStyle = color;
            context.arc(x, y, 15, (Math.PI / 180) * 0, (Math.PI / 180) * 360, false);
            context.fill();
            context.closePath();

            //数字
            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);
        }

        //链接节点
        function linkNode(context, fatherNodeX, fatherNodeY, childrenNodeX, childrenNodeY) {
            drawLine(context, fatherNodeX, fatherNodeY + 15, childrenNodeX, childrenNodeY - 15);
        }

        //生产线
        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": "插入节点情况A1",
                "remark": [
                    "当前节点的父节点是红色,且当前节点的祖父节点的另一个子节点(叔叔节点)也是红色"
                ]
            },
            "insertSolutionA1": {
                "title": "插入节点情况A1的解决方案",
                "remark": [
                        "(01) 将“父节点”设为黑色",
                        "(02) 将“叔叔节点”设为黑色",
                        "(03) 将“祖父节点”设为“红色",
                        "(04) 将“祖父节点”设为“当前节点”(红色节点);即,之后继续对“当前节点”进行操作"
                ]
            },
            "insertCaseB1": {
                "title": "插入节点情况2",
                "remark": [
                    "当前节点的父节点是红色,叔叔节点是黑色,且当前节点是其父节点的右孩子"
                ]
            },
            "insertSolutionB1": {
                "title": "插入节点情况2的解决方案",
                "remark": [
                        "(01) 将“父节点”作为“新的当前节点”",
                        "(02) 以“新的当前节点”为支点进行左旋",
                ]
            },
            "insertCase3": {
                "title": "插入节点情况3",
                "remark": [
                    "当前节点的父节点是红色,叔叔节点是黑色,且当前节点是其父节点的左孩子"
                ]
            },
            "insertSolution3": {
                "title": "插入节点情况3的解决方案",
                "remark": [
                        "(01) 将“父节点”设为“黑色”",
                        "(02) 将“祖父节点”设为“红色”",
                        "(03) 以“祖父节点”为支点进行右旋"
                ]
            },
            "insertCase4": {
                "title": "插入节点情况4",
                "remark": [
                    "当前节点的父节点是红色,叔叔节点是黑色,且当前节点是其父节点的左孩子"
                ]
            },
            "insertSolution4": {
                "title": "插入节点情况4的解决方案",
                "remark": [
                        "(01) 将“父节点”作为“新的当前节点”",
                        "(02) 以“新的当前节点”为支点进行右旋",
                ]
            },
            "insertCase5": {
                "title": "插入节点情况5",
                "remark": [
                    "当前节点的父节点是红色,叔叔节点是黑色,且当前节点是其父节点的右孩子"
                ]
            },
            "insertSolution5": {
                "title": "插入节点情况5的解决方案",
                "remark": [
                        "(01) 将“父节点”设为“黑色”",
                        "(02) 将“祖父节点”设为“红色”",
                        "(03) 以“祖父节点”为支点进行左旋"
                ]
            },
            "deleteCase1": {
                "title": "删除节点情况1",
                "remark": [
                    "被删节点是“黑+黑”节点,被删除的节点是左节点,被删节点的兄弟节点是红色。(此时被删节点的父节点和x的兄弟节点的子节点都是黑节点)。"
                ]
            },
            "deleteSolution1": {
                "title": "删除节点情况1解决方案",
                "remark": [
                    "(01) 将x的兄弟节点设为“黑色”。",
                    "(02) 将x的父节点设为“红色”。",
                    "(03) 对x的父节点进行左旋。",
                    "(04) 左旋后,重新设置x的兄弟节点。"
                ]
            },
            "deleteCase2": {
                "title": "删除节点情况2",
                "remark": [
                    "被删节点是“黑+黑”节点,被删除的节点是右节点,被删节点的兄弟节点是红色。(此时被删节点的父节点和x的兄弟节点的子节点都是黑节点)。"
                ]
            },
            "deleteSolution2": {
                "title": "删除节点情况2解决方案",
                "remark": [
                    "(01) 将被删节点的兄弟节点设为“黑色”。",
                    "(02) 将被删节点的父节点设为“红色”。",
                    "(03) 对被删节点的父节点进行右旋。",
                    "(04) 右旋后,重新设置x的兄弟节点。"
                ]
            },
            "deleteCase3": {
                "title": "删除节点情况3",
                "remark": [
                    "被删节点是“黑+黑”节点,被删节点的兄弟节点是黑色,被删节点的兄弟节点的两个孩子都是黑色。"
                ]
            },
            "deleteSolution3": {
                "title": "删除节点情况3解决方案",
                "remark": [
                    "(01) 将被删节点的兄弟节点设为“红色”。",
                    "(02) 设置“被删节点的父节点”为“新的被删节点节点”。"
                ]
            },
            "deleteCase4": {
                "title": "删除节点情况4",
                "remark": [
                    "将被删节点是“黑+黑”节点,被删节点的兄弟节点是黑色;将被删节点的兄弟节点的左孩子是红色,右孩子是黑色的。"
                ]
            },
            "deleteSolution4": {
                "title": "删除节点情况4解决方案",
                "remark": [
                    "(01) 将被删节点兄弟节点的左孩子设为“黑色”。",
                    "(02) 将被删节点兄弟节点设为“红色”。",
                    "(03) 对被删节点的兄弟节点进行右旋。",
                    "(04) 右旋后,重新设置被删节点的兄弟节点。",
                ]
            },
            "deleteCase5": {
                "title": "删除节点情况5",
                "remark": [
                    "被删节点是“黑+黑”节点,被删节点的兄弟节点是黑色;被删节点的兄弟节点的左孩子是黑色,右孩子是红色的。"
                ]
            },
            "deleteSolution5": {
                "title": "删除节点情况5解决方案",
                "remark": [
                    "(01) 将被删节点兄弟节点的右孩子设为“黑色”。",
                    "(02) 将被删节点兄弟节点设为“红色”。",
                    "(03) 对被删节点的兄弟节点进行左旋。",
                    "(04) 左旋后,重新设置被删节点的兄弟节点。",
                ]
            },
            "deleteCase6": {
                "title": "删除节点情况6",
                "remark": [
                    "被删节点是“黑+黑”节点,被删节点的兄弟节点是黑色;被删节点的兄弟节点的右孩子是红色的,被删节点的兄弟节点的左孩子任意颜色。"
                ]
            },
            "deleteSolution6": {
                "title": "删除节点情况6解决方案",
                "remark": [
                    "(01) 将被删节点父节点颜色 赋值给 被删节点的兄弟节点。",
                    "(02) 将被删节点父节点设为“黑色”。",
                    "(03) 将被删节点兄弟节点的右子节点设为“黑色”。",
                    "(04) 对被删节点的父节点进行左旋。",
                    "(05) 设置“被删节点”为“根节点”。"
                ]
            },
            "deleteCase7": {
                "title": "删除节点情况7",
                "remark": [
                    "被删节点是“黑+黑”节点,被删节点的兄弟节点是黑色;被删节点的兄弟节点的左孩子是红色的,被删节点的兄弟节点的右孩子任意颜色。"
                ]
            },
            "deleteSolution7": {
                "title": "删除节点情况7解决方案",
                "remark": [
                    "(01) 将被删节点父节点颜色 赋值给 被删节点的兄弟节点。",
                    "(02) 将被删节点父节点设为“黑色”。",
                    "(03) 将被删节点兄弟节点的左子节设为“黑色”。",
                    "(04) 对被删节点的父节点进行右旋。",
                    "(05) 设置“被删节点”为“根节点”。"
                ]
            },
            "deleteCase8": {
                "title": "删除节点情况8",
                "remark": [
                    "被删节点有两个子节点"
                ]
            },
            "deleteSolution8": {
                "title": "删除节点情况8解决方案",
                "remark": [
                    "(01) 将被删节点右节点的子孙节点中找出小的节点,替换被删节点。",
                ]
            },
            "deleteCase9": {
                "title": "删除节点情况9",
                "remark": [
                    "被删节点只有一个子节点或无子节点"
                ]
            },
            "deleteSolution9": {
                "title": "删除节点情况9解决方案",
                "remark": [
                    "(01) 将唯一的子节点替换被删节点。",
                ]
            }
                
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在线生成红黑树(含变形步骤)

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原文地址:http://www.cnblogs.com/bbvi/p/5576201.html

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