C++ 中的二叉搜尋樹迭代器
假設我們要製作一個二叉樹迭代器。它將具有兩種方法。next() 方法用於返回下一個元素,而 hasNext() 方法用於返回布林值,指示是否存在下一個元素。因此,如果樹形結構如下 -
並且函式呼叫的順序為 [next(), next(), hasNext(), next(), hasNext(), next(), hasNext(), next(), hasNext()]。輸出將為 [3,7,true,9,true,15,true,20,false]
為了解決這個問題,我們將按以下步驟操作 -
- 有兩種方法,next 和 hasNext,
- next() 方法如下 -
- curr := 棧頂元素,並彈出棧頂元素
- 如果 curr 的右元素不為 null,則從節點的右側推送中序後繼
- 返回當前的值
- hasNext() 方法如下 -
- 當棧不為空時返回 true,否則返回 false。
讓我們看以下實現以更好地理解 -
示例
#include <bits/stdc++.h> using namespace std; class TreeNode{ public: int val; TreeNode *left, *right; TreeNode(int data){ val = data; left = right = NULL; } }; void insert(TreeNode **root, int val){ queue<TreeNode*> q; q.push(*root); while(q.size()){ TreeNode *temp = q.front(); q.pop(); if(!temp->left){ if(val != NULL) temp->left = new TreeNode(val); else temp->left = new TreeNode(0); return; } else { q.push(temp->left); } if(!temp->right){ if(val != NULL) temp->right = new TreeNode(val); else temp->right = new TreeNode(0); return; }else{ q.push(temp->right); } } } TreeNode *make_tree(vector<int> v){ TreeNode *root = new TreeNode(v[0]); for(int i = 1; i<v.size(); i++){ insert(&root, v[i]); } return root; } class BSTIterator { public: stack <TreeNode*> st; void fillStack(TreeNode* node){ while(node && node->val != 0){ st.push(node); node=node->left; } } BSTIterator(TreeNode* root) { fillStack(root); } /** @return the next smallest number */ int next() { TreeNode* curr = st.top(); st.pop(); if(curr->right && curr->right->val != 0){ fillStack(curr->right); } return curr->val; } /** @return whether we have a next smallest number */ bool hasNext() { return !st.empty(); } }; main(){ vector<int> v = {7,3,15,NULL,NULL,9,20}; TreeNode *root = make_tree(v); BSTIterator ob(root); cout << "Next: " << ob.next() << endl; cout << "Next: " << ob.next() << endl; cout << ob.hasNext() << endl; cout << "Next: " << ob.next() << endl; cout << ob.hasNext() << endl; cout << "Next: " << ob.next() << endl; cout << ob.hasNext() << endl; cout << "Next: " << ob.next() << endl; cout << ob.hasNext() << endl; }
輸入
BSTIterator ob(root); ob.next() ob.next() ob.hasNext() ob.next() ob.hasNext() ob.next() ob.hasNext() ob.next() ob.hasNext()
輸出
Next: 3 Next: 7 1 Next: 9 1 Next: 15 1 Next: 20 0
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