LeetCode-Top 100题771. Jewels and Stones 思路: 新建一个HashSet,先遍历A

Easy难度

771. Jewels and Stones

题目: 给出两个字符串A 和 B, 在B中找出在A中也出现过的字符
思路: 新建一个HashSet,先遍历A，把所有字符放到set里，再遍历B并判断字符是否在set中出现。

// 02.14
class Solution {
    public int numJewelsInStones(String J, String S) {
        if (J == null || J.length() == 0) {
            return 0;
        }
        int count = 0;
        HashSet<Character> set = new HashSet<>();
        for (Character c : J.toCharArray()) {
            set.add(c);
        }
        for (Character c : S.toCharArray()) {
            if (set.contains(c)) {
                count++;
            }
        }
        
        return count;
    }
}

461. Hamming Distance 题目: 给出两个整数,找出两个整数变为二进制格式时有几个bit位不同思路: 直接异或操作找不同？Yes，异或操作的结果是相同为为0，不同位为1，将异或后得到的数字中所有的1相加就是Hamming距离

class Solution {
    public int hammingDistance(int x, int y) {
        int xor = x ^ y, count = 0;
        for (int i = 0; i < 32; i++) {
            // 右移操作等价于除以2^n
            count += (xor >> i) & 1; // n & 1 如果以1结尾，得到1, 如果以0结尾，得到0
        }
        return count;
    }
}

Similar question:

Number of 1 Bits

题目:求一个整数二进制中1出现的次数
思路:

public class Solution {
    // you need to treat n as an unsigned value
    public int hammingWeight(int n) {
        int count = 0;
        
        // 这里也可以用另一个判断条件 while (n != 0)
        for (int i = 0; i < 32; i++) {
            count += n & 1;
            n = n >>> 1;    
        }
        
        return count;
    }
}

1. Counting Bits
- 题目: 给出一个整数n,求出在[0,n]范围内的每个整数二进制表示中1出现的次数
- 思路: 观察规律,[2^1， 2^2], [2^2, 2^3]的前半部分是[2^1,2^2], 后半部分是[2^1,2^2]+1

0    0000    0
-------------
1    0001    1
-------------
2    0010    1
3    0011    2
-------------
4    0100    1
5    0101    2
6    0110    2
7    0111    3
-------------
8    1000    1
9    1001    2
10   1010    2
11   1011    3
12   1100    2
13   1101    3
14   1110    3
15   1111    4

public int[] countBits(int num) {
    int[] f = new int[num + 1];
    for (int i=1; i<=num; i++) {
        f[i] = f[i >> 1] + (i & 1); //用一个dp数组来存已经判断过的信息
    }
    return f;
}

617. Merge Two Binary Trees

题目: 将两个二叉树合并为一个二叉树
思路: 注意必须是将树的节点合并而不只是值合并

// 02.14
class Solution {
    public TreeNode mergeTrees(TreeNode t1, TreeNode t2) {
        if (t1 == null) {
            return t2;
        }    
        if (t2 == null) {
            return t1;
        }
        TreeNode root = new TreeNode(t1.val + t2.val);
        root.left = mergeTrees(t1.left, t2.left);
        root.right = mergeTrees(t1.right, t2.right);
        
        return root;
    }
}

104. Maximum Depth of Binary Tree

// 02.14
class Solution {
    public int maxDepth(TreeNode root) {
        if (root == null) {
            return 0;
        }
        
        int left = maxDepth(root.left);
        int right = maxDepth(root.right);
        
        return Math.max(left, right) + 1;
    }
}

110. Balanced Binary Tree

思路: 每一层都求一次深度,如果左右子树的深度差值超过1，就是非平衡的二叉树


// 02.14
class Solution {
    public boolean isBalanced(TreeNode root) {
        if (root == null) {
            return true;
        }
        
        int left = maxDepth(root.left);
        int right = maxDepth(root.right);
        
        if (Math.abs(left - right) > 1) {
            return false;
        }
        
        return isBalanced(root.left) && isBalanced(root.right);
    }
    
    private int maxDepth(TreeNode root) {
        if (root == null) {
            return 0;
        }
        
        int left = maxDepth(root.left);
        int right = maxDepth(root.right);
        
        return Math.max(left, right) + 1;
    }
}

136. Single Number

题目: 给出一个数组,其中只有一个元素出现一次，其他所有的元素都出现了两次,请找出只出现一次的元素
思路: 使用异或的特性,相同位相加得到0,不同位相加得到1

// 02.14
// 利用 A XOR A = 0的特点，保证
class Solution {
    public int singleNumber(int[] nums) {
        int res = 0;
        for (int num : nums) {
            res = res ^ num;
        }
        return res;
    }
}

137. Single Number II

题目: 给出一个数组,其中只有一个元素出现一次，其他所有的元素都出现了三次,请找出只出现一次的元素

260. Single Number III[M]

题目: 给出一个数组，里面有两个元素只出现一次，其他元素都出现了两次，找到只出现一次的元素
思路: 调用两次异或操作，第一次将两个出现一次的元素分到两个不同的组, 第二次调用找出这两个元素

public class Solution {
    public int[] singleNumber(int[] nums) {
        // Pass 1 : 
        // Get the XOR of the two numbers we need to find
        int diff = 0;
        for (int num : nums) {
            diff ^= num;
        }
        // Get its last set bit
        diff &= -diff;
        
        // Pass 2 :
        int[] rets = {0, 0}; // this array stores the two numbers we will return
        for (int num : nums)
        {
            if ((num & diff) == 0) // the bit is not set
            {
                rets[0] ^= num;
            }
            else // the bit is set
            {
                rets[1] ^= num;
            }
        }
        return rets;
    }
}

Missing Number

题目: 给出一个数组其中元素的范围是0, 1, 2, ..., n 求出缺少的那个数字
思路: 利用异或特性,i和nums[i]的取值范围除一个missing number之外都相同
变形: 如果是排好序的数组直接用二分法，比较中间值的下标和元素值，如果下标比元素值,左边的元素少,missin number在左边,反之在右边。

public int missingNumber(int[] nums) { //xor
    int res = nums.length; // 这里需要将res初始值设定为n，而不是0, 如果设定为0的话,0会出现三次
    for(int i=0; i<nums.length; i++){
        res ^= i;
        res ^= nums[i];
    }
    return res;
}

287. Find the Duplicate Number

226. Invert Binary Tree

问题: 将一个二叉树的左右子树颠倒
思路: DC算法，左换右，左左换右右，右右换左左

// 02.17 
class Solution {
    public TreeNode invertTree(TreeNode root) {
    // bottom-up 解法
        if (root == null) {
            return null;
        }
        TreeNode left = invertTree(root.left);
        TreeNode right = invertTree(root.right);
        root.left = right;
        root.right = left;
        
        return root;
    }
}

101. Symmetric Tree

问题: 判断一棵二叉树是否是中心对称的
思路: 左子树的左节点要和右子树的右节点中心对称

class Solution {
    public boolean isSymmetric(TreeNode root) {
        if (root == null) {
            return true;
        }
        return helper(root.left, root.right);
    }
    
    public boolean helper(TreeNode left, TreeNode right) {
        if (left == null || right == null) {
            return left == right;
        }
        if (left.val != right.val) {
            return false;
        }
        // 这里必须要继续判断当前节点的子节点是否满足条件
        return helper(left.right, right.left) && helper(left.left, right.right);
    }
}

283. Move Zeroes

问题: 给出一个数组，将数组中所有的0移动到数组的最后，并保持原来非零元素的相对顺序
思路: 同向双指针, 交换第一个0元素和第一个非零元素
样例:

Input: [0,1,0,3,12]
Output: [1,3,12,0,0]

// 02.17
class Solution {
    public void moveZeroes(int[] nums) {
        int n = nums.length;
        int left = 0;
        int right = 0;
        
        while (left < n && right < n) {
            while (right < n && nums[right] == 0) {
                right++;
            }
            // 这里要保证left指针在right指针的前面
            while (left < right && nums[left] != 0) {
                left++;
            }
            
            if (left < n && right < n) {
                swap(nums, left, right);
                left++;
                right++;
            }
        }
    }
    
    private void swap(int[] nums, int i, int j) {
        int swap = nums[i];
        nums[i] = nums[j];
        nums[j] = swap;
    }
}

class Solution {
    public void moveZeroes(int[] nums) {
        int n = nums.length;
        int left = 0, right = 0;
        wihle (right < n) {
            if (nums[right] != n) {
                //当left 和 right指向了同一个元素时，可以自己和自己swap，这样保证了left一定指向一个0元素，right指向一个非零元素
                swap(nums, left, right); 
                left++;
            }
            right++;
        }
    }
    
    private void swap(int[] A, int i, int j) {
        int swap = A[i];
        A[i] = A[j];
        A[j] = swap;
    }
}

448. Find All Numbers Disappeared in an Array

题目: 给出一个数组，每个元素的取值范围是[1,n] n是数组的长度,每个元素可以出现两次或者一次，找出[1,n]中的哪些元素没有在数组中出现
思路: 利用性质(1): 每个元素的取值范围是[1,n]，可以看做是一个数组的index, 将其作为数组的标记nums[index] = -nums[index]

class Solution {
    public List<Integer> findDisappearedNumbers(int[] nums) {
        List<Integer> res = new ArrayList<>();
        
        for (int i = 0; i < nums.length; i++) {
            int index = Math.abs(nums[i]) - 1;
            if (nums[index] > 0) {
                nums[index] = -nums[index];
            }
        }
        
        for (int i = 0; i < nums.length; i++) {
            if (nums[i] > 0) {
                res.add(i + 1); // 注意这里要将index转换为元素时需要进行 +1 操作
            }
        }
        
        return res;
    }
}

Similar Question:

92. Reverse Linked List II
题目: 翻转一个链表中m到n的元素, 1 <= m <= n
思路:用一个变量计数? 分段处理,在m之前直接顺序遍历,在m到n之间需要reverse

//02.17 宝典的解法-没看懂
public class Solution {
    public ListNode reverseBetween(ListNode head, int m, int n) {
        if (m == n) {
            return head;
        }
        ListNode dummy = new ListNode(0);
        dummy.next = head;
        
        ListNode prev = dummy;
        ListNode cur = head;
        
        for (int i = 0; i < m - 1; i++) {
            prev = prev.next;
            cur = cur.next;
        }
        
        for (int i = 0; i < n - m; i++) {
            ListNode next = cur.next;
            cur.next = next.next;
            next.next = prev.next;
            prev.next = next;
        }
        
        return dummy.next;
    }
}

//02.17 自己根据basketwang的代码改写的
//核心思路就是将mNode依次插入到nNode的后面直到mNode和nNode重合
class Solution {
    public ListNode reverseBetween(ListNode head, int m, int n) {
        if (m == n) {
            return head;
        }
        
        ListNode dummy = new ListNode(0);
        dummy.next = head;
        ListNode prevM = dummy;
        ListNode mNode = head;
        ListNode nNode = head;
        for (int i = 0; i < m - 1; i++) {
            prevM = prevM.next;
            mNode = mNode.next;
            nNode = nNode.next;
        }
        
        for (int i = 0; i < n - m; i++) {
            nNode = nNode.next;
        }
        
        while (mNode != nNode) {
            prevM.next = mNode.next;
            mNode.next = nNode.next;
            nNode.next = mNode;
            mNode = prevM.next;
        }
        
        return dummy.next;
    }
}

143. Reorder List
题目: Given a singly linked list L: L0→L1→…→Ln-1→Ln, reorder it to: L0→Ln→L1→Ln-1→L2→Ln-2→…
思路: 先将后半段的链表倒序，然后双指针遍历，将后半段的链表节点依次插入到前半段的链表中

class Solution {
    public void reorderList(ListNode head) {
        if (head == null || head.next == null) {
            return;
        }
        ListNode fast = head;
        ListNode slow = head;
        
        while (fast != null && fast.next != null) {
            fast = fast.next.next;
            slow = slow.next;
        }
        ListNode tail = reverseList(slow.next);
        slow.next = null;
        merge(head, tail);
    }
    
    private ListNode reverseList(ListNode head) {
        ListNode prev = null;
        ListNode curr = head;
        while (curr != null) {
            ListNode next = curr.next;
            curr.next = prev;
            prev = curr;
            curr = next;
        }
        return prev;
    }
    
    private void merge(ListNode l1, ListNode l2) {
        int index = 0;
        ListNode dummy = new ListNode(0);
        ListNode curr = dummy;
        while (l1 != null && l2 != null) {
            if (index % 2 == 0) {
                curr.next = l1;
                l1 = l1.next;
            } else {
                curr.next = l2;
                l2 = l2.next;
            }
            curr = curr.next;
            index++;
        }
        if (l1 == null) {
            curr.next = l2;
        }
        if (l2 == null) {
            curr.next = l1;
        }
    }
}

169. Majority Element

问题:给出一个数组，找出出现次数超过一半的元素
思路:这个元素的出现次数之和一定大于其它所有元素的和, 需要用两个变量来存, 一个存出现次数，一个存元素数值。

class Solution {
    public int majorityElement(int[] nums) {
        if (nums == null || nums.length == 0) {
            return 0;
        }
        int res = nums[0];
        int count = 1;
        for (int i = 1; i < nums.length; i++) {
            if (res != nums[i]) {
                if (count > 0) {
                    count--;
                }
                else {
                    res = nums[i];
                    count++;
                }
            } else {
                count++;
            }
        }
        return res;
    }
}

** 538. Convert BST to Greater Tree**

问题: 给出一个BST, 将BST中的每个节点值加上所有比它大的节点值之和
思路: 后序遍历并用一个变量来存当前所有遍历过的节点的累加和

class Solution {
    int sumVal = 0;
    public TreeNode convertBST(TreeNode root) {
        if (root == null) {
            return null;
        }
        root.right = convertBST(root.right);
        sumVal += root.val; // 先更新sumVal为当前节点值 + 累计sumVal
        root.val = sumVal; // 再直接更新root.val 为sumVal
        root.left = convertBST(root.left);
        
        return root;
    }
}

121.Best Time to Buy and Sell Stock

问题: 只允许买卖一次，求最大收益

// 02.18
class Solution {
    public int maxProfit(int[] prices) {
        if (prices == null || prices.length == 0) {
            return 0;
        }
        int min = prices[0];
        int maxProfit = 0;
        for (int i = 0; i < prices.length; i++) {
            if (prices[i] < min) {
                min = prices[i];
                continue;
            }
            maxProfit = Math.max(maxProfit, prices[i] - min);
        }
        
        return maxProfit;
    }
}

Follow Up:
参考总结: https://blog.csdn.net/Dr_Unknown/article/details/51939121
122. Best Time to Buy and Sell Stock II
问题: 不限制交易次数买卖股票,求最大收益
思路: 从头遍历数组,如果当天股票价格大于前一天就卖, 贪心算法

// 02.18
class Solution {
    public int maxProfit(int[] prices) {
        if (prices == null || prices.length == 0) {
            return 0;
        }
        int maxProfit = 0;
        for (int i = 1; i < prices.length; i++) {
            if (prices[i] - prices[i - 1] > 0) {
                maxProfit += prices[i] - prices[i - 1];
            }
        }
        
        return maxProfit;
    }
}

123. Best Time to Buy and Sell Stock III
问题: 只允许买卖两次，求最大收益
思路: 用动态规划，以第i天作为分界，判断在第i天之前做一次交易的最大收益和第i天之后做一次交易的最大收益,最后遍历两个数组求和

// 02.18

public class Solution {
    public int maxProfit(int[] prices) {
        if (prices.length < 2) return 0;
        
        int n = prices.length;
        int[] preProfit = new int[n];
        int[] postProfit = new int[n];
        
        int curMin = prices[0];
        for (int i = 1; i < n; i++) {
            curMin = Math.min(curMin, prices[i]);
            preProfit[i] = Math.max(preProfit[i - 1], prices[i] - curMin);//第i天卖出
        }
        
        int curMax = prices[n - 1];
        for (int i = n - 2; i >= 0; i--) {//从后往前遍历 如果当天的收益大于之前的最大收益,就更新收益的数组
            curMax = Math.max(curMax, prices[i]); 
            postProfit[i] = Math.max(postProfit[i + 1], curMax - prices[i]);//第i天买入
        }
        
        int maxProfit = 0;
        for (int i = 0; i < n; i++) {
            maxProfit = Math.max(maxProfit, preProfit[i] + postProfit[i]);
        }
        
        return  maxProfit;
    }

Best Time to Buy and Sell Stock IV 没看懂跳过
问题: 最多进行k次交易, 求最大收益, k作为一个变给出
思路: 如果k > n / 2, 直接按照买股票II来做,贪心只要当天比前一天股价高就卖定义localMax 和 globalMax 两个二维数组？为什么？ localMax必须在当前位置结束 globalMax记录可能的不连续性

public class Solution {
    public int maxProfit(int k, int[] prices) {
        if (prices == null || prices.length == 0) {
            return 0;
        }
        int n = prices.length;
        if (k >= n / 2) {
            int profit = 0;
            for (int i = 1; i < n; i++) {
                int diff = prices[i] - prices[i - 1];
                if (diff > 0) {
                    profit += diff;
                }
            }
            return profit;
        }
        
        int[][] localMax = new int[n][k + 1];
        int[][] globalMax = new int[n][k + 1];
        
        for (int i = 1; i < n; i++) {
            int diff = prices[i] - prices[i - 1];
            for (int j = 1; j <= k && j * 2 <= i + 1; j++) {
                localMax[i][j] = Math.max(localMax[i - 1][j], globalMax[i - 1][j - 1]) + diff;
                globalMax[i][j] = Math.max(localMax[i][j], globalMax[i - 1][j]);
            }
        }
        
        return globalMax[n - 1][k];
    }
}

53. Maximum Subarray

问题: 给出一个数组, 找出数组中和最大的子数组
思路: 定义一个localMax 和一个globalMax, localMax 是连续的子数组区间 Math.Max(localMax + nums[i], nums[i])

class Solution {
    public int maxSubArray(int[] nums) {
        if (nums == null || nums.length == 0) {
            return 0;
        }
        int cur = nums[0];
        int max = nums[0];
        for (int i = 1; i < nums.length; i++) {
            cur = Math.max(cur + nums[i], nums[i]); // localMax更新必须要考虑当前位置的元素
            max = Math.max(cur, max); // globalMax的更新只需要比较自身和localMax两个值即可
        }
        
        return max;
    }
}

Follow Up:
152. Maximum Product Subarray
问题: 给出一个数组,求其中乘积最大的子数组
思路: 由于存在负负得正,需要同时记录localMax和localMin两个local变量和一个globalMax变量

//02.18 必须注意初始化为nums[0]
class Solution {
    public int maxProduct(int[] nums) {
        if (nums == null || nums.length == 0) {
            return 0;
        }
        int localMax = nums[0];
        int localMin = nums[0];
        int globalMax = nums[0];
        for (int i = 1; i < nums.length; i++) {
        //必须要在比较之前先用新的变量将localMax * nums[i] 和 localMin * nums[i]存起来，否则比较的时候不同步
            int currMax = localMax * nums[i];
            int currMin = localMin * nums[i];
            localMax = Math.max(Math.max(currMax, currMin), nums[i]);
            // 这里会出现localMin使用更新后的localMax的结果, 需要保证localMax和localMin的同步
            localMin = Math.min(Math.min(currMax, currMin), nums[i]);
            globalMax = Math.max(localMax, globalMax);
        }
        
        return globalMax;
    }
}

42. Maximum SubarrayII
问题: 给出一个数组,找出两个不重叠的子数组使其和最大
思路: 需要找到的是两个子数组, 如何进行切割每个位置都可以作为切割点

//02.18
public class Solution {
    public int maxTwoSubArrays(ArrayList<Integer> nums) {
        if (nums == null || nums.size() == 0) {
            return 0;
        }
        int n = nums.size();
        int[] left = new int[n];
        int[] right = new int[n];
        
        int localMax = nums.get(0);
        int max = nums.get(0);
        left[0] = nums.get(0);
        for (int i = 1; i < n; i++) {
            localMax = Math.max(nums.get(i), nums.get(i) + localMax);
            max = Math.max(max, localMax);
            left[i] = max; 
        }
        
        localMax = nums.get(n - 1);
        max = nums.get(n - 1);
        right[n - 1] = nums.get(n - 1);
        for (int i = n - 2; i >= 0; i--) {
            localMax = Math.max(nums.get(i), nums.get(i) + localMax);
            max = Math.max(max, localMax);
            right[i] = max;
        }
        
        int res = Integer.MIN_VALUE;
        for (int i = 0; i < n - 1; i++) {
            res = Math.max(res, left[i] + right[i + 1]); // 为什么要用right[i + 1]??
        }
        
        return res;
    }
}

Maximum Subarray III
问题: 给出一个整数数组,找出k个不重叠且和最大的子数组
思路:

字典序最大的子序列

// 02.14
public class Main { 
public static void main(String[] args) { 
    Scanner input = new Scanner(System.in); 
    String str = input.nextLine(); 
    char[] res = str.toCharArray(); 
    ArrayList<Character> arr = new ArrayList<>(); 
    arr.add(res[res.length-1]); 
    for (int i = res.length-1; i > 0; i--){ 
        if ( arr.get(arr.size()-1) <= res[i-1]){ 
            arr.add(res[i-1]);            
        }        
    }        
    StringBuilder sb = new StringBuilder();        
    for (int i = 0; i < arr.size(); i++){            
        sb.append(arr.get(i));        
    }        
    System.out.println(sb.reverse().toString());    
    }
}

160.Intersection of Two Linked List

问题: 给出两个链表，它们的后半段是相交的，也就是后半段完全一致,求出交点的起始位置
思路: 由于后半段一致,当第一次同时走到相同的节点是就是第一个交点,关键问题是前半段的长度不一致，如果从同一起点来做就可以做到同步到达交点

// 02.18
public class Solution {
    public ListNode getIntersectionNode(ListNode headA, ListNode headB) {
        ListNode currA = headA;
        ListNode currB = headB;
        int lenA = 0;
        int lenB = 0;
        while (currA != null) {
            currA = currA.next;
            lenA++;
        }
        
        while (currB != null) {
            currB = currB.next;
            lenB++;
        }
       
        while (lenA - lenB > 0) {
            headA = headA.next;
            lenA--;
        }

        while (lenB - lenA > 0) {
            headB = headB.next;
            lenB--;                
        }
        
        while (headA != headB) {
            headA = headA.next;
            headB = headB.next;
        }
        
        return headA;
    }
}

//两次遍历利用差值来直接 a + b + c
public class Solution {
    public ListNode getIntersectionNode(ListNode headA, ListNode headB) {
        if (headA == null || headB == null) {
            return null;
        }
        ListNode a = headA;
        ListNode b = headB;
        
        while (a != b) {
            a = a == null ? headB : a.next;
            b = b == null ? headA : b.next;
        }
        return a;
    }
}

438.Find All Anagrams in a String

问题: 给出两个字符串s和p, 找出
思路: 滑动窗口,窗口的长度为p.length()并设定一个辅助变量diff来记录当前窗口内的所有字符与p字符串的比较结果

class Solution {
    public List<Integer> findAnagrams(String s, String p) {                         
        ArrayList<Integer> res = new ArrayList<>();
        if (s.length() == 0 || p.length() == 0 || s.length() < p.length()) {
            return new ArrayList<Integer>();
        }
        // store the characters we need for finding next anagram
        int[] chars = new int[26];
        for (Character c : p.toCharArray()) {
            chars[c - 'a']++;
        }
        int matched = 0;
        int plength = p.length();
        int slength = s.length();
        int left = 0; // point to String s
        int right = 0; // point to String p
        while (right < slength) {
            if (chars[s.charAt(right) - 'a'] >= 1) {
                matched++;
            }
            if (matched == plength) {
                res.add(left);
            }
            chars[s.charAt(right) - 'a']--;
            right++;
            if (right - left == plength) {
                // 当前left位置的字符在p中也出现过,走到下一步时会被推出当前窗口,所以matched需要减一
                if (chars[s.charAt(left) - 'a'] >= 0) {
                    matched--;
                }
                // 当前left向前走之后,需要匹配的元素多了一个,需要将chars中的记录+1
                chars[s.charAt(left) - 'a']++;
                left++;
            }
        }
        return res;
    }
}

Similar Question:
242.Valid Anagram
问题: 给出两个字符串s和t，判断t是否是s的Anagram
思路: 先比较长度,长度不一致一定是false，再用一个数组存s中的所有出现的字符

class Solution {
    public boolean isAnagram(String s, String t) {
        int[] alphabet = new int[26];
        for (int i = 0; i < s.length(); i++) alphabet[s.charAt(i) - 'a']++;
        for (int i = 0; i < t.length(); i++) alphabet[t.charAt(i) - 'a']--;
        for (int i : alphabet) if (i != 0) return false;
        return true;
    }
}

581. Shortest Unsorted Continuous Subarray

Medium

94. Binary Tree Inorder Traversal

// 02.15
class Solution {
    public List<Integer> inorderTraversal(TreeNode root) {
        List<Integer> list = new ArrayList<Integer>();

        Stack<TreeNode> stack = new Stack<TreeNode>();
        TreeNode cur = root;

        while(cur!=null || !stack.empty()){
            while(cur!=null){
                stack.add(cur);
                cur = cur.left;
            }
            cur = stack.pop();
            list.add(cur.val);
            cur = cur.right;
        }

        return list;
    }
}

** 95. Unique Binary Search Trees II**

问题:
思路:

230. Kth Smallest Element in a BST[M]

题目: 找到一个BST当中第K大的数值
思路: 中序遍历倒计时

class Solution {
    
  private static int number = 0;
  private static int count = 0;

  public int kthSmallest(TreeNode root, int k) {
      count = k;
      helper(root);
      return number;
  }
  
  public void helper(TreeNode n) {
      if (n.left != null) helper(n.left);
      count--;
      if (count == 0) {
          number = n.val;
          return;
      }
      if (n.right != null) helper(n.right);
  }
}

思路: 利用BST的特性,中序遍历

// 02.14
class Solution {
    public int kthSmallest(TreeNode root, int k) {
        Stack<TreeNode> stack = new Stack<>();
        
        TreeNode cur = root;
        
        while (cur != null || !stack.isEmpty()) {
            while (cur != null) {
                stack.add(cur);
                cur = cur.left;
            }
            cur = stack.pop();
            k--;
            if (k == 0) {
                return cur.val;
            }
            cur = cur.right;
        }
        
        return -1;
    }
}

285.Inorder Successor in BST

问题: 找出一个node 的中序遍历的下一个节点
思路: 直接inorde traversal

// 02.15
class Solution {
    public TreeNode inorderSuccessor(TreeNode root, TreeNode p) {
        
        Stack<TreeNode> stack = new Stack<TreeNode>();
        TreeNode cur = root;
        boolean found = false;
        
        while(cur!=null || !stack.empty()){
            while(cur!=null){
                stack.add(cur);
                cur = cur.left;
            }
            cur = stack.pop();
            if (found == true) {
                return cur;
            }
            if (cur == p) {
                found = true;
            }

            cur = cur.right;
        }
        
        return null;
    }
}

510.Inorder Successor in BST II

问题: 找出BST中某个节点的下一个相邻节点，只给出parent, left, right指针而不给出root节点
思路: 分类讨论不同Successor
- Case 1: 当前节点的右子节点存在,那么successor就是右子树的最左节点
- Case 2: 如果当前节点的右子树不存在，向上找parent,直到找到一个比当前节点大的parent node就是succsssor, 如果找不到最后会返回null也就是root.parent

class Solution {
    public Node inorderSuccessor(Node x) {
        if (x.right == null) {
            Node result = x.parent;
            while (result != null && result.val < x.val) {
                result = result.parent;
            }
            return result;
        } else {
            Node result = x.right;
            while (result.left != null) {
                result = result.left;
            }
            return result;
        }
    }
}

333. Largest BST Subtree

问题: 找出一个二叉树中包含最多节点的BST子树
思路: 先要找最大的子树, 再保证是一个BST

98. Validate Binary Search Tree

问题: 确定一个二叉树是否是一个BST
思路: Inorder 顺序遍历必须要是递增的, 设一个pre指针, 初始值为null，每次遍历到新的节点是进行更新

//02.15
public boolean isValidBST(TreeNode root) {
   if (root == null) return true;
   Stack<TreeNode> stack = new Stack<>();
   TreeNode pre = null;
   while (root != null || !stack.isEmpty()) {
      while (root != null) {
         stack.push(root);
         root = root.left;
      }
      root = stack.pop();
      if(pre != null && root.val <= pre.val) return false;
      pre = root;
      root = root.right;
   }
   return true;
}

215. Kth Largest Elements in an Array

题目: 给出一个数组，找到数组中第k大的数值
思路: 根据快排的partition分类思路,先找一个pivot值，然后将比pivot值大的数放在右边,比pivot小的数字都放在左边,每次分好之后,判断一下pivot所在的位置是否等于k,如果等于，那么直接返回pivot值,如果k <= right + 1, 说明第k大的数一定在pivot左边,递归调用partition判断左半部分,如果k > right + 1, 判断右半部分。

public class Solution {
    public int findKthLargest(int[] nums, int k) {
        return partition(nums, k, 0, nums.length - 1);
    }

    private int partition(int[] nums, int k, int start, int end){

        int pivot = nums[start];
        int left = start;
        int right = end;

        while(left <= right){
            while(left <= right && nums[left] >= pivot) left++;
            while(left <= right && nums[right] <= pivot) right--;
            if(left < right) swap(nums, left, right);
        }
        swap(nums, start, right);
    
        if(k == right + 1) return nums[right];
        if(k > right + 1){
            return partition(nums, k, right + 1, end);
        } else {
            return partition(nums, k, start, right - 1);
        }
    }
287. Find the Duplicate Number
    private void swap(int[] nums, int a, int b){
        int temp = nums[a];
        nums[a] = nums[b];
        nums[b] = temp;
    }
}

follow up: 378. Kth Smallest Element in a Sorted Matrix

题目: 给出一个n * n的二维数组,每一行和每一列都是递增的，但是不保证蛇形有序, 求出这个数组中第K大的数值
思路1: 直接遍历所有元素并用最大堆维护前K小的元素,当pq.size() > k的时候将pq中的Top元素poll出来
思路2: 使用二分查找,不是简单的查找某个元素是否存在而是需要找出比某一个值小的元素的个数，定义一个countLessEqualNumsfunction, 自己定义的target

// 02.17
class Solution {
    // matrix is n * n
    public int kthSmallest(int[][] matrix, int k) {
        int start = matrix[0][0];
        int end = matrix[matrix.length - 1][matrix[0].length - 1];
        while (start <= end) {
            // count the numbers that is smaller than or equal to the mid
            int mid = start + (end - start) / 2; // 这个mid值一定存在么？
            int count = countLessEqualNums(mid, matrix);
            if (count < k) {
                start = mid + 1;
            } else {
                end = mid - 1;
            }
        }
        return start;
    }
    private int countLessEqualNums(int target, int[][] matrix) {
        int i = 0;
        int j = matrix[0].length - 1;
        int start = matrix[i][j];
        int result = 0;
        while (i < matrix.length && j >= 0) {
            if (matrix[i][j] > target) {
                j--;
            }  else {
                result += j + 1;
                i++;
            }
        }
        return result;    
    }
}

LeetCode-Top 100题

Easy难度

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