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2016.7.7 by Totooria Hyperion
目前实现了:
前序遍历
中序遍历
后序遍历
层次遍历
求叶子节点的个数
求树的高度
对称树
判断某一节点是否在某一树种
求两节点的最近公共父节点
其他算法以后再慢慢补
首先是用了自己写的Class:
http://www.cnblogs.com/Totooria-Hyperion/p/5645096.html
二叉树声明如下:
Class("BinTree",function(tl,tr,tdata){ this.tl = tl || null; this.tr = tr || null; this.tdata = tdata || null; },{ "createTree":function(preorder){ var t = {},tl = {},tr = {}; if(preorder.str[0] == "#") { preorder.str = preorder.str.substr(1); return null; } else { t = new BinTree(); t.tdata = preorder.str[0]; preorder.str = preorder.str.substr(1); tl = BinTree.prototype.createTree(preorder); t.setLeft(tl); tr = BinTree.prototype.createTree(preorder); t.setRight(tr); return t; } }, "setLeft":function(ptr) { this.tl = ptr; }, "setRight":function(ptr) { this.tr = ptr; }, "getLeft":function(ptr) { return this.tl; }, "getRight":function(ptr) { return this.tr; }, "getData":function() { return this.tdata; } }); BinTree.extend({ "getPreOrder":function(obj) { (typeof obj.order == "undefined") ? obj.order = "" : obj; obj.order += this.tdata; var tl = this.getLeft(),tr = this.getRight(); tl != null ? tl.getPreOrder(obj) : tl; tr != null ? tr.getPreOrder(obj) : tr; return obj.order; }, "getInOrder":function(obj) { (typeof obj.order == "undefined") ? obj.order = "" : obj; var tl = this.getLeft(),tr = this.getRight(); tl != null ? tl.getInOrder(obj) : tl; obj.order += this.tdata; tr != null ? tr.getInOrder(obj) : tr; return obj.order; }, "getPostOrder":function(obj) { (typeof obj.order == "undefined") ? obj.order = "" : obj; var tl = this.getLeft(),tr = this.getRight(); tl != null ? tl.getPostOrder(obj) : tl; tr != null ? tr.getPostOrder(obj) : tr; obj.order += this.tdata; return obj.order; }, "getLevelOrder":function(obj) { (typeof obj.nodes == "undefined") ? obj.nodes = [] : obj; var cur = [this]; while(cur.length != 0) { obj.nodes = obj.nodes.concat(cur); var _cur = []; for(var i=0;i<cur.length;i++) { var tl = cur[i].getLeft(),tr = cur[i].getRight(); tl ? _cur.push(tl) : tl; tr ? _cur.push(tr) : tr; } cur = _cur; } var str = ""; obj.nodes.forEach(function(item){ str += item.tdata; }); return str; }, "getLeafSum":function(){ var tl = this.getLeft(),tr = this.getRight(); if(tl && tr) { return tl.getLeafSum() + tr.getLeafSum(); } else if(!tl && !tr) { return 1; } else if (tl) { return tl.getLeafSum(); } else { return tr.getLeafSum(); } }, "getHeight":function() { var tl = this.getLeft(),tr = this.getRight(); if(!tl && !tr) { return 1; } else if(tl && tr) { return tl.getHeight() >= tr.getHeight() ? tl.getHeight() + 1 : tr.getHeight() + 1; } else if(tl) { return tl.getHeight() + 1; } else { return tr.getHeight() + 1; } }, "swap":function() { var tl = this.getLeft(),tr = this.getRight(); this.setLeft(tr); this.setRight(tl); tl != null ? tl.swap() : tl; tr != null ? tr.swap() : tr; }, "isInTree":function(tree) { var bool = false; if(this == tree) { return true; } else { var tl = tree.getLeft(),tr = tree.getRight(); var tlb = tl != null ? this.isInTree(tl) : false; var trb = tr != null ? this.isInTree(tr) : false; return tlb || trb; } }, "getNearestCommonFather":function(flag,node1,node2,tree) { if(flag) { if(node1.isInTree(node2)) { return node2; } else if(node2.isInTree(node1)) { return node1; } else { var tl = tree.getLeft(),tr = tree.getRight(); var inLeft = tl && node1.isInTree(tl) && node2.isInTree(tl); var inRight = tr && node1.isInTree(tr) && node2.isInTree(tr); if(!inLeft && !inRight) { return tree; } else if(inLeft){ return this.getNearestCommonFather(1,node1,node2,tl); } else { return this.getNearestCommonFather(1,node1,node2,tr); } } } else { if(node1.isInTree(tree) && node2.isInTree(tree)) { return this.getNearestCommonFather(1,node1,node2,tree); } else { return false; } } } });
测试代码及测试结果如下:
var tree = BinTree.prototype.createTree({"str":"6423####51##7##"}); console.log(tree.getPreOrder({})); //6423517 console.log(tree.getInOrder({})); // 3246157 console.log(tree.getPostOrder({})); // 3241756 console.log(tree.getLevelOrder({})); // 6452173 console.log(tree.getLeafSum()); // 3 console.log(tree.getHeight()); // 4 tree.swap() console.log("交换"); console.log(tree.getPreOrder({})); // 6571423 console.log(tree.getPostOrder({})); // 7153246 tree.swap() console.log("交换"); console.log(tree.tr.tl.isInTree(tree));// true console.log(BinTree.prototype.getNearestCommonFather(0,tree.tr.tl,tree.tr.tr,tree));
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原文地址:http://www.cnblogs.com/Totooria-Hyperion/p/5651969.html