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html, body { }
h1 { font-size: 1.5em; font-weight: bold }
h2 { font-size: 1.4em; font-weight: bold }
h3 { font-size: 1.3em; font-weight: bold }
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h6 { font-size: 1em; font-weight: bold }
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blockquote { margin-top: 0; margin-bottom: 0 }
table { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
td { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
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{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
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{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
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{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
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{ background-color: rgba(249, 249, 249, 1) }
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{ }
{ 12px; height: 12px }
body { font-family: 微软雅黑, “Microsoft YaHei”, Georgia, Helvetica, Arial, sans-serif, 宋体, PMingLiU, serif; font-size: 10.5pt; line-height: 1.5 }
html, body { }
h1 { font-size: 1.5em; font-weight: bold }
h2 { font-size: 1.4em; font-weight: bold }
h3 { font-size: 1.3em; font-weight: bold }
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blockquote { margin-top: 0; margin-bottom: 0 }
table { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
td { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
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{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
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{ 12px; height: 12px }
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{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
{ background-color: rgba(240, 240, 240, 1) }
{ }
{ 12px; height: 12px }
body { font-family: 微软雅黑, “Microsoft YaHei”, Georgia, Helvetica, Arial, sans-serif, 宋体, PMingLiU, serif; font-size: 10.5pt; line-height: 1.5 }
html, body { }
h1 { font-size: 1.5em; font-weight: bold }
h2 { font-size: 1.4em; font-weight: bold }
h3 { font-size: 1.3em; font-weight: bold }
h4 { font-size: 1.2em; font-weight: bold }
h5 { font-size: 1.1em; font-weight: bold }
h6 { font-size: 1em; font-weight: bold }
img { border: 0; max- 100%; height: auto !important }
blockquote { margin-top: 0; margin-bottom: 0 }
table { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
td { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
{ background-color: rgba(240, 240, 240, 1) }
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.wiz-todo-account, .wiz-todo-dt { color: rgba(102, 102, 102, 1) }
{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
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{ }
{ 12px; height: 12px }
body { font-family: 微软雅黑, “Microsoft YaHei”, Georgia, Helvetica, Arial, sans-serif, 宋体, PMingLiU, serif; font-size: 10.5pt; line-height: 1.5 }
html, body { }
h1 { font-size: 1.5em; font-weight: bold }
h2 { font-size: 1.4em; font-weight: bold }
h3 { font-size: 1.3em; font-weight: bold }
h4 { font-size: 1.2em; font-weight: bold }
h5 { font-size: 1.1em; font-weight: bold }
h6 { font-size: 1em; font-weight: bold }
img { border: 0; max- 100%; height: auto !important }
blockquote { margin-top: 0; margin-bottom: 0 }
table { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
td { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
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.wiz-todo-avatar { 20px; height: 20px; vertical-align: -20%; margin-right: 10px; border-radius: 2px }
.wiz-todo-account, .wiz-todo-dt { color: rgba(102, 102, 102, 1) }
{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
{ background-color: rgba(240, 240, 240, 1) }
{ }
{ 12px; height: 12px }
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{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
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{ 12px; height: 12px }
body { font-family: 微软雅黑, “Microsoft YaHei”, Georgia, Helvetica, Arial, sans-serif, 宋体, PMingLiU, serif; font-size: 10.5pt; line-height: 1.5 }
html, body { }
h1 { font-size: 1.5em; font-weight: bold }
h2 { font-size: 1.4em; font-weight: bold }
h3 { font-size: 1.3em; font-weight: bold }
h4 { font-size: 1.2em; font-weight: bold }
h5 { font-size: 1.1em; font-weight: bold }
h6 { font-size: 1em; font-weight: bold }
img { border: 0; max- 100%; height: auto !important }
blockquote { margin-top: 0; margin-bottom: 0 }
table { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
td { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
{ background-color: rgba(240, 240, 240, 1) }
{ }
{ 12px; height: 12px }
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.wiz-todo-label { display: inline-block; padding-top: 7px; padding-bottom: 6px; line-height: 1.5 }
.wiz-todo-label-checked { color: rgba(102, 102, 102, 1) }
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.wiz-todo-completed-info { padding-left: 44px; display: inline-block }
.wiz-todo-avatar { 20px; height: 20px; vertical-align: -20%; margin-right: 10px; border-radius: 2px }
.wiz-todo-account, .wiz-todo-dt { color: rgba(102, 102, 102, 1) }
{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
{ background-color: rgba(240, 240, 240, 1) }
{ }
{ 12px; height: 12px }.wizimgdragresize { position: absolute; z-index: 1000; border: 1px solid rgba(0, 0, 0, 1); background-color: rgba(255, 255, 255, 1) }
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{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
{ background-color: rgba(240, 240, 240, 1) }
{ }
{ 12px; height: 12px }
body { font-family: 微软雅黑, “Microsoft YaHei”, Georgia, Helvetica, Arial, sans-serif, 宋体, PMingLiU, serif; font-size: 10.5pt; line-height: 1.5 }
html, body { }
h1 { font-size: 1.5em; font-weight: bold }
h2 { font-size: 1.4em; font-weight: bold }
h3 { font-size: 1.3em; font-weight: bold }
h4 { font-size: 1.2em; font-weight: bold }
h5 { font-size: 1.1em; font-weight: bold }
h6 { font-size: 1em; font-weight: bold }
img { border: 0; max- 100%; height: auto !important }
blockquote { margin-top: 0; margin-bottom: 0 }
table { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
td { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
{ background-color: rgba(240, 240, 240, 1) }
{ }
{ 12px; height: 12px }
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.wizimgdragresize-rb { cursor: se-resize }
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.wiz-todo-label { display: inline-block; padding-top: 7px; padding-bottom: 6px; line-height: 1.5 }
.wiz-todo-label-checked { color: rgba(102, 102, 102, 1) }
.wiz-todo-label-unchecked { }
.wiz-todo-completed-info { padding-left: 44px; display: inline-block }
.wiz-todo-avatar { 20px; height: 20px; vertical-align: -20%; margin-right: 10px; border-radius: 2px }
.wiz-todo-account, .wiz-todo-dt { color: rgba(102, 102, 102, 1) }
{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
{ background-color: rgba(240, 240, 240, 1) }
{ }
{ 12px; height: 12px }
body { font-family: 微软雅黑, “Microsoft YaHei”, Georgia, Helvetica, Arial, sans-serif, 宋体, PMingLiU, serif; font-size: 10.5pt; line-height: 1.5 }
html, body { }
h1 { font-size: 1.5em; font-weight: bold }
h2 { font-size: 1.4em; font-weight: bold }
h3 { font-size: 1.3em; font-weight: bold }
h4 { font-size: 1.2em; font-weight: bold }
h5 { font-size: 1.1em; font-weight: bold }
h6 { font-size: 1em; font-weight: bold }
img { border: 0; max- 100%; height: auto !important }
blockquote { margin-top: 0; margin-bottom: 0 }
table { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
td { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
{ background-color: rgba(240, 240, 240, 1) }
{ }
{ 12px; height: 12px }
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.wizimgdragresize-bm { cursor: s-resize }
.wizimgdragresize-rb { cursor: se-resize }
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.wiz-todo-label { display: inline-block; padding-top: 7px; padding-bottom: 6px; line-height: 1.5 }
.wiz-todo-label-checked { color: rgba(102, 102, 102, 1) }
.wiz-todo-label-unchecked { }
.wiz-todo-completed-info { padding-left: 44px; display: inline-block }
.wiz-todo-avatar { 20px; height: 20px; vertical-align: -20%; margin-right: 10px; border-radius: 2px }
.wiz-todo-account, .wiz-todo-dt { color: rgba(102, 102, 102, 1) }
{ 17px; height: 17px; background-color: rgba(240, 240, 240, 1); border: none }
{ background-color: rgba(220, 220, 220, 1) }
{ background-color: rgba(192, 192, 192, 1) }
{ background-color: rgba(150, 150, 150, 1) }
{ background-color: rgba(249, 249, 249, 1) }
{ background-color: rgba(240, 240, 240, 1) }
{ }
{ 12px; height: 12px }
.wizimgdragresize { position: absolute; z-index: 1000; border: 1px solid rgba(0, 0, 0, 1); background-color: rgba(255, 255, 255, 1) }
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.wizimgdragresize-tm { cursor: n-resize }
.wizimgdragresize-rt { cursor: ne-resize }
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html, body { }
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table { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
td { border-collapse: collapse; border: 1px solid rgba(187, 187, 187, 1) }
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{ background-color: rgba(220, 220, 220, 1) }
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二叉树的建立：
对于二叉树，如果单纯通过前序遍历或后序遍历以及中序遍历是无法唯一确定一棵二叉树的前序+中序后序+中序才可以唯一确定一棵二叉树。
因此我们可以通过前序+中序或者后序+中序的结果对二叉树进行确定。
假设一棵二叉树为如下：
则前序和中序遍历的结果是：
我们首先要对前序遍历和中序遍历的特点进行了解。如上图数组中，明显可以看到。在前序遍历中，数组第一个元素就是这棵树的Root,而中序遍历，则Root位于中间位置啦 ，但是在中序中Root(图中中序遍历数组 的“1”)左边是其左子树，而其右边是其右子树的节点值，于是我们大概可以确定这棵树了。
那么左子树又如何确定呢？前序遍历结果：
中序遍历结果：
于是我们又可以确定如下：
那么又子树呢？同样的嘛：
一直这样迭代下去，肯定就可以了搞定了。
#ifndef RECONSTRUCT_BINARY_TREE_H#define RECONSTRUCT_BINARY_TREE_H#include<iostream>struct TreeNode{int val;struct TreeNode *left;struct TreeNode *right;};struct TreeNode *reconstructBinaryTree(int *preorder,int *midorder,int length);struct TreeNode *reconstructCore(int *startPreorder,int *endPreorder,int *startMidorder,int *endMidorder);struct TreeNode *reconstructBinaryTree(int *preorder,int *midorder,int length){return reconstructCore(preorder,preorder+length-1,midorder,midorder+length-1);}struct TreeNode *reconstructCore(int *startPreorder,int *endPreorder,int *startMidorder,int *endMidorder){ //这里是关键，传入的参数是当前前序、中序的起始位置int rootValue=*startPreorder;struct TreeNode *root=new TreeNode; //核心部分，构建一个节点root->val=rootValue;root->left=root->right=NULL;if(startPreorder==endPreorder){if(startMidorder==endMidorder&&*startPreorder==*startMidorder){return root; //边界值的处理}else{throw("invalid input ");}}int *iter;int leftCount=0;for(iter=startMidorder; iter!=endMidorder; iter++){if(*iter==rootValue){break;}leftCount++;}if(iter!=startMidorder&&iter!=endMidorder){ //如果左右子树不为空root->left=reconstructCore(startPreorder+1,startPreorder+leftCount,startMidorder,iter-1);root->right=reconstructCore(startPreorder+leftCount+1,endPreorder,iter+1,endMidorder);}if(iter==startMidorder&&iter!=endMidorder){ //如果左子树为空root->left=NULL;root->right=reconstructCore(startPreorder+leftCount+1,endPreorder,iter+1,endMidorder);}if(iter!=startMidorder&&iter==endMidorder){ //如果右子树为空root->left=reconstructCore(startPreorder+1,startPreorder+leftCount,startMidorder,iter-1);root->right=NULL;}return root;}void preorderPrint(struct TreeNode *root){if(root==NULL){return;}std::cout<<root->val<<std::endl;preorderPrint(root->left);preorderPrint(root->right);}void midorderPrint(struct TreeNode *root){if(root==NULL){return;}preorderPrint(root->left);std::cout<<root->val<<std::endl;preorderPrint(root->right);}#endif
int main(){int pre[8]={1,2,4,7,3,5,6,8};int mid[8]={4,7,2,1,5,3,8,6};struct TreeNode *root=reconstructBinaryTree(pre,mid,8);/*std::cout<<root->left->val<<std::endl;std::cout<<root->left->left->right->val<<std::endl;std::cout<<root->left->left->val<<std::endl;std::cout<<root->right->left->val<<std::endl;std::cout<<root->right->right->val<<std::endl;std::cout<<root->right->right->left->val<<std::endl; */preorderPrint(root);midorderPrint(root);}