template<class T>
struct BinaryTreeNode//二叉树的节点结构
{
T _data;
BinaryTreeNode<T>* _left;
BinaryTreeNode<T>* _right;
BinaryTreeNode(const T& x)
:_data(x._data)
, _left(NULL)
, _right(NULL)
{}
};
template<class T>
class BinaryTree
{
public:
BinaryTree()
:_root(NULL)
{}
BinaryTree(const T* a, size_t size)//构建一棵树
{
size_t index = 0;
_root = _createTree(a, size, index);
}
void PrevOrder()
{
_PervOrder(_root);
cout << endl;
}
void InOrder()
{
_InOrder(_root);
cout << endl;
}
void PostOrder()
{
_PostOrder(_root);
cout << endl;
}
void LevelOrder()
{
queue<BinaryTreeNode<T>*> q;
if (_root)
{
q.push(_root);
}
while (!q.empty())
{
BinaryTreeNode<T>* front = q.front();
q.pop();
cout << front._data << " ";
if (front->_left)
{
q.push(front->_left);
}
if (front->_right)
{
q.push(front->_right);
}
}
cout << endl;
}
int Size()
{
return _Size(_root);
}
int Depth(BinaryTreeNode<T>* root)
{
int ret = _Depth(root);
return ret;
}
BinaryTreeNode<T>* Find(BinaryTreeNode<T>* root,T data)
{
if (root == NULL)
return;
if (data == root->_data)
{
return root;
}
BinaryTreeNode<T>* ret = Find(root->_left, data);
if (ret)
return ret;
return Find(root->_right, data);;
}
protected:
BinaryTreeNode<T>* _CreateTree(const T* a, size_t size, size_t& index)
{
BinaryTreeNode* root = NULL;
if (index < size && a[index] != "#")
{
root = new BinaryTreeNode<T>(a[index]);
root->_left = _CreateTree(a, size, ++index);
root->_right = _CreateTree(a, size, ++index);
}
return root;
}
void _PrevOrder(BinaryTreeNode<T>* root)
{
if (root == NULL)
{
return;
}
cout << root->_data << " ";
_PrevOrder(root->_left);
_prevOrder(root->_right);
}
void _InOrder(BinaryTreeNode<T>* root)
{
if (root == NULL)
{
return;
}
_InOrder(root->_left);
cout << root->_data << " ";
_InOrder(root->_right);
}
void _PostOrder(BinaryTreeNode<T>* root)
{
if (root == NULL)
{
return;
}
_PostOrder(root->_left);
_PostOrder(root->_right);
cout << root->_data << " ";
}
int _Size(BinaryTreeNode<T>* root)
{
if (root == NULL)
{
return 0;
}
return _Size(root->_left) + _Size(root->_right) + 1;
}
int _Depth(BinaryTreeNode<T>* root)
{
if (root == NULL)
return 0;
int leftdepth = _Depth(root->_left);
int rightdepth = _Depth(root->_right);
return leftdepth > rightdepth ? leftdepth + 1 : rightdepth + 1;
}
void _GetLeafNum(BinaryTreeNode<T>* root, int& num)
{
if (root == NULL)
return;
if (root->_left == NULL && root->_right == NULL)
{
++num;
return;
}
_GetLeafNum(root->_left);
_GetLeafNum(root->_right);
}
protected:
BinaryTreeNode<T>* _root;
};