Algorithm Notes
  • Introduction
  • Search & Backtracking 搜索与回溯
    • Tree 与 BackTracking 的比较
    • Subsets, Combination 与 Permutation
    • Subsets & Combinations & Combination Sum
    • 枚举法
    • N 皇后 + 矩阵 Index Trick
    • Sudoku 数独 + 矩阵 Index Trick
    • Word Ladder I & II
    • Number of ways 类
    • DFS flood filling
    • Strobogrammatic 数生成
    • String 构造式 DFS + Backtracking
    • Word Pattern I & II
    • (G) Binary Watch
    • (FB) Phone Letter Combination
    • 常见搜索问题的迭代解法
  • String,字符串类
    • 多步翻转法
    • Substring 结构和遍历
    • Palindrome 问题
    • Palindrome Continued
    • String / LinkedList 大数运算
    • 序列化与压缩
    • 5/24 String 杂题
    • Knuth–Morris–Pratt 字符串匹配
    • Lempel–Ziv–Welch 字符串压缩算法
    • (G) Decode String
    • (G) UTF-8 Validation
  • Binary Tree,二叉树
    • 各种 Binary Tree 定义
    • LCA 类问题
    • 三序遍历,vertical order
    • Post order traversal 的应用
    • Min/Max/Balanced Depth
    • BST
    • 子树结构
    • Level Order traversal
    • Morris 遍历
    • 修改结构
    • 创建 / 序列化
    • 子树组合,BST query
    • 路径与路径和
    • NestedInteger 类
    • (FB) 从 Binary Tree Path 看如何递归转迭代
    • (FB) Binary Tree Path 比较路径大小
    • 比较好玩的 Binary Tree 概率题
  • Segment & Fenwick Tree,区间树
    • Segment Tree 基础操作
    • Segment Tree 的应用
    • Fenwick Tree (Binary Indexed Tree)
    • Range Sum Query 2D - Immutable
  • Union-Find,并查集
    • Union-Find,并查集基础
    • Union-Find, 并查集应用
  • Dynamic Programming, 动态规划
    • 6/20, 入门 House Robber
    • 7/12, Paint Fence / House
    • 6/24, 滚动数组
    • 6/24, 记忆化搜索
    • 6/24, 博弈类 DP
    • 博弈类DP, Flip Game
    • 6/25, 区间类DP
    • 6/27, subarray 划分类,股票
    • 7/2, 字符串类
    • Bomb Enemies
    • 8/2,背包问题
    • (G) Max Vacation
    • (11/4新增) AST 子树结构 DP
  • LinkedList,链表
    • 6/9, LinkedList,反转与删除
    • 6/11, LinkedList 杂题
    • (FB) 链表的递归与倒序打印
  • LinkedIn 面经,算法题
    • 6/17, LinkedIn 面经题
    • 6/28, LinkedIn 面经题
    • 7/6, LinkedIn 面经
    • Shortest Word Distance 类
    • DFA Parse Integer
  • Two Pointers,双指针
    • 3 Sum, 3 Sum Closest / Smaller, 4 Sum
    • 对撞型,灌水类
    • 对撞型,partition类
    • Wiggle Sort I & II
    • 双指针,窗口类
    • 双指针,窗口类
    • Heap,排序 matrix 中的 two pointers
  • Bit & Math,位运算与数学
    • Bit Manipulation,对于 '1' 位的操作
    • Math & Bit Manipulation, Power of X
    • 坐标系 & 数值计算类
    • Add Digits
    • 用 int 做字符串 signature
  • Interval 与 扫描线
    • Range Addition & LCS
    • 7/5, Interval 类,扫描线
  • Trie,字典树
    • 6/9, Trie, 字典树
  • 单调栈,LIS
    • 4/13 LIS
    • 栈, 单调栈
    • Largest Divisible Subset
  • Binary Search 类
    • Matrix Binary Search
    • Array Binary Search
    • Find Peak Element I & II
    • **Median of Two Sorted Arrays
  • Graph & Topological Sort,图 & 拓扑排序
    • 有向 / 无向 图的基本性质和操作
    • 拓扑排序, DFS 做法
    • 拓扑排序, BFS 做法
    • Course Schedule I & II
    • Alien Dictionary
    • Undirected Graph, BFS
    • Undirected Graph, DFS
    • 矩阵,BFS 最短距离探索
    • 欧拉回路,Hierholzer算法
    • AI, 迷宫生成
    • AI, 迷宫寻路算法
    • (G) Deep Copy 无向图成有向图
  • 括号与数学表达式的计算
  • Iterator 类
  • Majority Element,Moore's Voting
  • Matrix Inplace Operations
  • 常见数据结构设计
  • (G) Design / OOD 类算法题
  • 随机算法 & 数据结构
  • (FB) I/O Buffer
  • (FB) Simplify Path, H-Index I & II
  • (FB) Excel Sheet, Remove Duplicates
  • Integer 的构造,操作,序列化
  • Frequency 类问题
  • Missing Number 类,元素交换,数组环形跳转
  • 8/10, Google Tag
  • (FB) Rearrange String k Distance Apart
  • Abstract Algebra
    • Chap1 -- Why Abstract Algebra ?
    • Chap2 -- Operations
    • Chap3 -- The Definition of Groups
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  • Zigzag Iterator
  • Peeking Iterator
  • Flatten 2D Vector
  • Flatten Nested List Iterator
  • Binary Search Tree Iterator
  • (FB) Binary Tree Post-order iterator

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Iterator 类

Previous括号与数学表达式的计算NextMajority Element,Moore's Voting

Last updated 4 years ago

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所谓的 Zigzag 其实等价于 circular ~ 实现 circular 的常见办法有两个:

  • 建 array / arraylist,靠取 mod 的 index trick;

  • 直接用内置的 deque 库,每次头尾操作就可以

public class ZigzagIterator {
    Deque<Iterator<Integer>> deque;

    public ZigzagIterator(List<Integer> v1, List<Integer> v2) {
        deque = new LinkedList<Iterator<Integer>>();
        if(v1.size() != 0) deque.offerFirst(v1.iterator());
        if(v2.size() != 0) deque.offerFirst(v2.iterator());
    }

    public int next() {
        Iterator<Integer> iter = deque.pollLast();
        int num = iter.next();
        if(iter.hasNext()) deque.offerFirst(iter);
        return num;
    }

    public boolean hasNext() {
        return (deque.size() != 0);
    }
}

由于先做了 Flatten Nested List Iterator 的 peeking iterator 实现,做这题简直毫无压力。。。

// Java Iterator interface reference:
// https://docs.oracle.com/javase/8/docs/api/java/util/Iterator.html
class PeekingIterator implements Iterator<Integer> {

    Integer peek;
    Iterator<Integer> cur;

    public PeekingIterator(Iterator<Integer> iterator) {
        // initialize any member here.
        cur = iterator;
        peek = internalNext();
    }

    private Integer internalNext(){
        if(cur.hasNext()){
            return cur.next();
        } else {
            return null;
        }
    }

    // Returns the next element in the iteration without advancing the iterator.
    public Integer peek() {
        return peek;
    }

    // hasNext() and next() should behave the same as in the Iterator interface.
    // Override them if needed.
    @Override
    public Integer next() {
        Integer tmp = peek;
        peek = internalNext();
        return tmp;
    }

    @Override
    public boolean hasNext() {
        return (peek != null);
    }
}

依然是没啥难度。。迭代器好简单。。

public class Vector2D implements Iterator<Integer> {
    Iterator<List<Integer>> listIter;
    Iterator<Integer> cur;
    Integer peek;

    public Vector2D(List<List<Integer>> vec2d) {
        listIter = vec2d.iterator();
        peek = internalNext();
    }

    private Integer internalNext(){
        if(cur != null && cur.hasNext()){
            return cur.next();
        } else if(listIter.hasNext()){
            cur = listIter.next().iterator();
            return internalNext();
        } else {
            return null;
        }
    }

    @Override
    public Integer next() {
        Integer tmp = peek;
        peek = internalNext();
        return tmp;
    }

    @Override
    public boolean hasNext() {
        return (peek != null);
    }
}

之前准备 LinkedIn 的时候做过,拿来重用下。

首先我不太认同 LC 的 test case 里没有重复的 hasNext() 调用的情况。。把执行逻辑全堆到 hasNext() 里是有问题的。

关键在于 internalNext() 的实现,还有巧妙递归调用自己减少代码量的实现方式。

  • 如果 cur Iterator 还有货,就遍历;

  • 遍历出来的是 Integer,就可以直接设 instance variable 了;

  • 遍历出来的是 List,说明下面还有子树,先把当前的存 Stack 上,cur 指到下面,再调用自己一次;

  • cur 没货了,从 stack 里取一个,接着搞;

  • stack 也没货了,就只能返回 null 了 ...

public class NestedIterator implements Iterator<Integer> {

    private Integer peek;
    private Stack<Iterator<NestedInteger>> stack;
    private Iterator<NestedInteger> curIter;

    public NestedIterator(List<NestedInteger> nestedList) {
        curIter = nestedList.iterator();
        stack = new Stack<>();
        peek = internalNext();
    }

    private Integer internalNext(){
        if(curIter.hasNext()){
            NestedInteger node = curIter.next();
            if(node.isInteger()){
                return node.getInteger();
            } else {
                stack.push(curIter);
                curIter = node.getList().iterator();

                return internalNext();
            }
        } else if(!stack.isEmpty()){
            curIter = stack.pop();

            return internalNext();
        } else {
            return null;
        }
    }

    @Override
    public Integer next() {
        Integer rst = peek;
        peek = internalNext();
        return rst;
    }

    @Override
    public boolean hasNext() {
        return (peek != null);
    }
}

顺着这个思路设计的话,BST iterator 也可以做。不过因为 TreeNode 不自带 iterator,往右子树跳的那一下,得自己手动写。

public class BSTIterator {

    Stack<TreeNode> stack;
    TreeNode cur;
    TreeNode peek;

    public BSTIterator(TreeNode root) {
        stack = new Stack<>();
        cur = root;
        peek = internalNext();
    }

    private TreeNode internalNext(){
        if(cur != null){
            if(cur.left != null){
                stack.push(cur);
                cur = cur.left;
                return internalNext();
            } else {
                TreeNode tmp = cur;
                cur = cur.right;
                return tmp;
            }
        } else if (!stack.isEmpty()){
            TreeNode tmp = stack.pop();
            cur = tmp.right;
            return tmp;
        } else {
            return null;
        }
    }

    /** @return whether we have a next smallest number */
    public boolean hasNext() {
        return (peek != null);
    }

    /** @return the next smallest number */
    public int next() {
        TreeNode node = peek;
        peek = internalNext();
        return node.val;
    }
}

这题的另一种画风比较常规的写法就是 in-order traversal ~

public class BSTIterator {
    Stack<TreeNode> stack;
    TreeNode cur;
    public BSTIterator(TreeNode root) {
        stack = new Stack<TreeNode>();
        cur = root;
    }

    /** @return whether we have a next smallest number */
    public boolean hasNext() {
        return (!stack.isEmpty() || cur != null);
    }

    /** @return the next smallest number */
    public int next() {
        while(cur != null){
            stack.push(cur);
            cur = cur.left;
        }
        TreeNode node = stack.pop();
        cur = node.right;
        return node.val;
    }
}

(FB) Binary Tree Post-order iterator

据群内小伙伴表示是 FB 高频提题,自己就写 test case 试试看。

其实这题就是考你到底会不会写只依靠 stack + cur + prev 指针的迭代写法,如果会了,这题就做出来了。

import java.util.*;

public class Main {
    private static class TreeNode {
        int val;
        TreeNode left, right;
        public TreeNode(int val){
            this.val = val;
        }
    }

    private static class PostOrderIterator implements Iterator<TreeNode>{
        Stack<TreeNode> stack;
        TreeNode cur;
        TreeNode prev;
        public PostOrderIterator(TreeNode root){
            stack = new Stack<>();
            cur = root;
            prev = null;
            if(cur != null) stack.push(cur);
        }
        public boolean hasNext(){
            return (!stack.isEmpty());
        }
        public TreeNode next(){
            TreeNode rst = null;

            while(!stack.isEmpty()){
                cur = stack.peek();
                if(prev == null || prev.left == cur || prev.right == cur){
                    if(cur.left != null){
                        stack.push(cur.left);
                    } else if(cur.right != null){
                        stack.push(cur.right);
                    }
                } else if(cur.left == prev){
                    if(cur.right != null) stack.push(cur.right);
                } else {
                    rst = cur;
                    stack.pop();
                }
                prev = cur;
                if(rst != null) break;
            }

            return rst;
        }
    }

    public static void main(String[] args){
        /*
        TreeNode node1 = new TreeNode(1);
        TreeNode node2 = new TreeNode(2);
        TreeNode node3 = new TreeNode(3);
        TreeNode node4 = new TreeNode(4);
        TreeNode node5 = new TreeNode(5);
        TreeNode node6 = new TreeNode(6);
        TreeNode node7 = new TreeNode(7);

        node7.left = node3;
        node7.right = node6;
        node3.left = node1;
        node3.right = node2;
        node6.left = node5;
        node5.right = node4;
        */

        TreeNode node1 = new TreeNode(1);
        TreeNode node2 = new TreeNode(2);
        TreeNode node3 = new TreeNode(3);
        TreeNode node4 = new TreeNode(4);
        TreeNode node5 = new TreeNode(5);
        TreeNode node6 = new TreeNode(6);
        TreeNode node7 = new TreeNode(7);
        TreeNode node8 = new TreeNode(8);
        TreeNode node9 = new TreeNode(9);
        TreeNode node10 = new TreeNode(10);

        node10.left = node5;
        node10.right = node9;
        node5.left = node2;
        node5.right = node4;
        node2.left = node1;
        node4.left = node3;
        node9.left = node6;
        node9.right = node8;
        node8.left = node7;

        PostOrderIterator iter = new PostOrderIterator(node10);

        while(iter.hasNext()){
            System.out.println(iter.next().val);
        }

    }
}

Zigzag Iterator
Peeking Iterator
Flatten 2D Vector
Flatten Nested List Iterator
Binary Search Tree Iterator