二叉树的深度并判断是否是平衡二叉树
#include <iostream> using namespace std; struct TreeNode { int val; TreeNode *left,*right; }; void preOrderTraverse(TreeNode *p) { if(p) { cout<<p->val<<" "; preOrderTraverse(p->left); preOrderTraverse(p->right); } } void create(TreeNode *&p) { int k; cin>>k; if(k!=0) { p=new TreeNode; p->val=k; create(p->left); create(p->right); } else p=NULL; } int TreeDepth(TreeNode *root) //二叉树的深度 { if(root==NULL) return 0; int left=TreeDepth(root->left); int right=TreeDepth(root->right); return left>right?left+1:right+1; } bool isbalanced2(TreeNode *root,int &depth) { if(root==NULL) { depth=0; return true; } int left,right; if(isbalanced2(root->left,left)&&isbalanced2(root->right,right)) { int diff=left-right; if(diff<=1&&diff>=-1) { depth=left>right?left+1:right+1; return true; } } return false; } /*是否为一棵平衡二叉树,遍历树的每个节点,调用TreeDepth得到 左右子树的深度,相差不超过1,就是平衡二叉树。*/ bool isbalanced1(TreeNode *root) { if(root==NULL) return true; int left=TreeDepth(root->left); int right=TreeDepth(root->right); int diff=left-right; if(diff>1||diff<-1) return false; return isbalanced1(root->left)&&isbalanced1(root->right); } int main() { TreeNode *root=NULL; create(root); preOrderTraverse(root); cout<<endl<<TreeDepth(root)<<endl; cout<<isbalanced1(root)<<endl; int depth=0; cout<<isbalanced2(root,depth); }