数据结构练习(39)二叉树前中后序遍历的非递归实现
很久没有写过二叉树的非递归实现了,感觉有点生疏,总结了几种常见的方法,
最后几种采用pair的形式压栈的方法,是十分可取且易于理解的:
#include <iostream> #include <stack> using namespace std; struct TreeNode { int m_value; TreeNode* m_lhs; TreeNode* m_rhs; }; void PreOrderVisit_1(TreeNode* root) { stack<TreeNode*> s; TreeNode* pNode = root; while (pNode || !s.empty()) { while (pNode) { s.push(pNode); cout << pNode->m_value << " "; pNode = pNode->m_lhs; } if (!s.empty()) { pNode = s.top(); s.pop(); pNode = pNode->m_rhs; } } } void PreOrderVisit_2(TreeNode* root) { if (root == NULL) return ; stack<TreeNode*> s; s.push(root); while (!s.empty()) { TreeNode* pNode = s.top(); s.pop(); cout << pNode->m_value << " "; if (pNode->m_rhs) s.push(pNode->m_rhs); if (pNode->m_lhs) s.push(pNode->m_lhs); } } void InOrderVisit(TreeNode* root) { stack<TreeNode*> s; TreeNode* pNode = root; while (pNode || !s.empty()) { while (pNode) { s.push(pNode); pNode = pNode->m_lhs; } if (!s.empty()) { pNode = s.top(); s.pop(); cout << pNode->m_value << " "; pNode = pNode->m_rhs; } } } void PostOrderVisit(TreeNode* root) { if (root == NULL) return ; stack<TreeNode*> s; s.push(root); TreeNode* preNode = NULL; while (!s.empty()) { TreeNode* curNode = s.top(); TreeNode* lastNode = curNode->m_rhs; if (lastNode == NULL) lastNode = curNode->m_lhs; if (lastNode == NULL || lastNode == preNode) { cout << curNode->m_value << " "; preNode = curNode; s.pop(); } else if (curNode->m_lhs == NULL || curNode->m_lhs == preNode) { s.push(curNode->m_rhs); } else s.push(curNode->m_lhs); } } enum _travel_type { visit, travel }; typedef pair<enum _travel_type, TreeNode*> NodePair; void InOrderVisit_2(TreeNode* root) { if (root == NULL) return; stack<NodePair> s; s.push(NodePair(travel, root)); while (!s.empty()) { NodePair np = s.top(); s.pop(); TreeNode* pNode = np.second; if (np.first == visit) cout << pNode->m_value << " "; else { if (pNode->m_rhs) s.push(NodePair(travel, pNode->m_rhs)); s.push(NodePair(visit, pNode)); if (pNode->m_lhs) s.push(NodePair(travel, pNode->m_lhs)); } } } void PostOrderVisit_2(TreeNode* root) { if (root == NULL) return ; stack<NodePair> s; s.push(NodePair(travel, root)); while (!s.empty()) { NodePair np = s.top(); s.pop(); TreeNode* pNode = np.second; if (np.first == visit) cout << pNode->m_value << " "; else { s.push(NodePair(visit, pNode)); if (pNode->m_rhs) s.push(NodePair(travel, pNode->m_rhs)); if (pNode->m_lhs) s.push(NodePair(travel, pNode->m_lhs)); } } }
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kedebug
Department of Computer Science and Engineering,
Shanghai Jiao Tong University
E-mail: kedebug0@gmail.com
GitHub: http://github.com/kedebug
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