JZ36 二叉搜索树与双向链表⭐
1 /* 中序递归 */
2 public class JZ36_1
3 {
4 public static TreeNode Convert(TreeNode pRootOfTree)
5 {
6 inOrder(pRootOfTree);
7 TreeNode res = pRootOfTree;
8 while (res != null && res.left != null)
9 res = res.left;
10 return res;
11 }
12
13 private static TreeNode inOrder(TreeNode root)
14 {
15 if (root == null) return null;
16 if (root.left == null && root.right == null) return root;
17 TreeNode leftPoint = null, rightPoint = null;
18 if (root.left != null)
19 {
20 leftPoint = inOrder(root.left);
21 while (leftPoint.right != null)
22 leftPoint = leftPoint.right;
23 leftPoint.right = root;
24 root.left = leftPoint;
25 }
26 if (root.right != null)
27 {
28 rightPoint = inOrder(root.right);
29 rightPoint.left = root;
30 root.right = rightPoint;
31 }
32 return leftPoint != null ? leftPoint : root;
33 }
34 }
35
36 /* 中序非递归 */
37 public class JZ36_2
38 {
39 public static TreeNode Convert(TreeNode pRootOfTree)
40 {
41 Stack<TreeNode> stack = new Stack<>();
42 TreeNode head = null, tail = null;
43 while (pRootOfTree != null || !stack.isEmpty())
44 {
45 while (pRootOfTree != null)
46 {
47 stack.push(pRootOfTree);
48 pRootOfTree = pRootOfTree.left;
49 }
50 TreeNode popNode = stack.pop();
51 if (head == null)
52 {
53 head = tail = popNode;
54 }
55 else
56 {
57 popNode.left = tail;
58 tail.right = popNode;
59 tail = popNode;
60 }
61 pRootOfTree = popNode.right;
62 }
63 return head;
64 }
65 }
JZ79 判断是不是平衡二叉树
1 /* 从下到上递归 */
2 public class JZ79_1
3 {
4 public static boolean IsBalanced_Solution(TreeNode pRoot)
5 {
6 return judge(pRoot) != -1;
7 }
8
9 public static int judge(TreeNode pRoot)
10 {
11 if (pRoot == null) return 0;
12 if (pRoot.left == null && pRoot.right == null) return 1;
13 int leftHigh = judge(pRoot.left);
14 int rightHigh = judge(pRoot.right);
15 if (leftHigh == -1 || rightHigh == -1) return -1;
16 if (Math.abs(leftHigh - rightHigh) > 1) return -1;
17 return Math.max(leftHigh, rightHigh) + 1;
18 }
19 }
20
21 /* 从上到下递归 */
22 public class JZ79_2
23 {
24 public static boolean IsBalanced_Solution(TreeNode pRoot)
25 {
26 if (pRoot == null) return true;
27 int l = calHeight(pRoot.left);
28 int r = calHeight(pRoot.right);
29 if (Math.abs(l - r) > 1) return false;
30 else return IsBalanced_Solution(pRoot.left) && IsBalanced_Solution(pRoot.right);
31 }
32
33 public static int calHeight(TreeNode pRoot)
34 {
35 if (pRoot == null) return 0;
36 if (pRoot.left == null && pRoot.right == null) return 1;
37 return Math.max(calHeight(pRoot.left), calHeight(pRoot.right)) + 1;
38 }
39 }
JZ8 二叉树的下一个结点
1 /*
2 * (1)若结点有右子树，则下一个结点是其右子树中最左边的结点
3 * (2)若结点没有右子树，并且是父节点的左结点，则下一个结点就是他的父节点
4 * (3)若结点没有右子树，并且是父节点的右结点，则应该沿着父节点向上，直到找到的结点是一个左结点。则下一个结点是该左结点的父节点
5 * */
6 public class JZ8_1
7 {
8 public static TreeLinkNode GetNext(TreeLinkNode pNode)
9 {
10 if (pNode.right != null)
11 {
12 pNode = pNode.right;
13 while (pNode.left != null)
14 pNode = pNode.left;
15 return pNode;
16 }
17 else
18 {
19 if (pNode.next == null) return null;
20 if (pNode.next.left == pNode)
21 return pNode.next;
22 else
23 {
24 while (pNode.next != null && pNode.next.left != pNode)
25 pNode = pNode.next;
26 return pNode.next;
27 }
28 }
29 }
30 }
JZ28 对称的二叉树
1 /* 递归 */
2 public class JZ28_1
3 {
4 public static boolean isSymmetrical(TreeNode pRoot)
5 {
6 return judge(pRoot, pRoot);
7 }
8
9 public static boolean judge(TreeNode leftNode, TreeNode rightNode)
10 {
11 if (leftNode == null && rightNode == null) return true;
12 if (leftNode == null || rightNode == null) return false;
13 if (leftNode.val != rightNode.val) return false;
14 return judge(leftNode.left, rightNode.right) && judge(leftNode.right, rightNode.left);
15 }
16 }
17
18 /* 队列 */
19 public class JZ28_2
20 {
21 public static boolean isSymmetrical(TreeNode pRoot)
22 {
23 Queue<TreeNode> queue = new LinkedList<>();
24 queue.add(pRoot);
25 queue.add(pRoot);
26 while (!queue.isEmpty())
27 {
28 TreeNode leftNode = queue.poll();
29 TreeNode rightNode = queue.poll();
30 if ((leftNode != null && rightNode == null) || (leftNode == null && rightNode != null))
31 return false;
32 if (leftNode == null && rightNode == null) continue;
33 if (leftNode.val != rightNode.val) return false;
34 queue.add(leftNode.left);
35 queue.add(rightNode.right);
36 queue.add(leftNode.right);
37 queue.add(rightNode.left);
38 }
39 return true;
40 }
41 }
JZ78 把二叉树打印成多行
1 /* 层次遍历(与JZ32类似) */
2 public class JZ78_1
3 {
4 public static ArrayList<ArrayList<Integer>> Print(TreeNode pRoot)
5 {
6 ArrayList<ArrayList<Integer>> res = new ArrayList<>();
7 Queue<TreeNode> queue = new LinkedList<>();
8 if (pRoot == null) return res;
9 queue.add(pRoot);
10 while (!queue.isEmpty())
11 {
12 int size = queue.size();
13 ArrayList<Integer> temp = new ArrayList<>();
14 while (size > 0)
15 {
16 TreeNode poll = queue.poll();
17 temp.add(poll.val);
18 if (poll.left != null)
19 queue.add(poll.left);
20 if (poll.right != null)
21 queue.add(poll.right);
22 size--;
23 }
24 res.add(new ArrayList<>(temp));
25 }
26 return res;
27 }
28 }
29
30 /* 递归层次遍历(与JZ32类似) */
31 public class JZ78_2
32 {
33 public static ArrayList<ArrayList<Integer>> Print(TreeNode pRoot)
34 {
35 ArrayList<ArrayList<Integer>> res = new ArrayList<>();
36 levelTravel(pRoot, res, 1);
37 return res;
38 }
39
40 public static void levelTravel(TreeNode root, ArrayList<ArrayList<Integer>> temp, int depth)
41 {
42 if (root == null) return;
43 if (temp.size() < depth)
44 {
45 ArrayList<Integer> addList = new ArrayList<>();
46 addList.add(root.val);
47 temp.add(addList);
48 }
49 else
50 {
51 temp.get(depth - 1).add(root.val);
52 }
53 levelTravel(root.left, temp, depth + 1);
54 levelTravel(root.right, temp, depth + 1);
55 }
56 }
JZ37 序列化二叉树⭐
1 /* 先序 */
2 public class JZ37_1
3 {
4 public static int idx;
5
6 public static String Serialize(TreeNode root)
7 {
8 if (root == null) return "#,";
9 String res = "";
10 res += root.val + ",";
11 return res + Serialize(root.left) + Serialize(root.right);
12 }
13
14 public static TreeNode Deserialize(String str)
15 {
16 idx = 0;
17 return Deserialize(str.split(","));
18 }
19
20 public static TreeNode Deserialize(String[] strArr)
21 {
22 if (idx >= strArr.length) return null;
23 if (strArr[idx].equals("#"))
24 {
25 idx++;
26 return null;
27 }
28
29 TreeNode root = new TreeNode(Integer.parseInt(strArr[idx++]));
30 root.left = Deserialize(strArr);
31 root.right = Deserialize(strArr);
32 return root;
33 }
34 }
JZ84 二叉树中和为某一值的路径(三)⭐
1 /* 递归版本1 */
2 public class JZ84_1
3 {
4 public static int res = 0;
5
6 public static int FindPath(TreeNode root, int sum)
7 {
8 dfs(root, sum, false);
9 return res;
10 }
11
12 public static void dfs(TreeNode root, int sum, boolean flag)
13 {
14 if (root == null) return ;
15 if (!flag)
16 {
17 dfs(root.left, sum, false);
18 dfs(root.right, sum, false);
19 }
20 if (sum - root.val == 0) res++;
21 dfs(root.left, sum - root.val, true);
22 dfs(root.right, sum - root.val, true);
23 }
24 }
25
26 /* 递归版本2 */
27 public class JZ84_2
28 {
29 public static int res = 0;
30
31 public static int FindPath(TreeNode root, int sum)
32 {
33 if (root == null) return 0;
34 dfs(root, sum);
35 FindPath(root.left, sum);
36 FindPath(root.right, sum);
37 return res;
38 }
39
40 public static void dfs(TreeNode root, int sum)
41 {
42 if (root == null) return;
43 sum -= root.val;
44 if (sum == 0) res++;
45 dfs(root.left, sum );
46 dfs(root.right, sum);
47 }
48 }
49
50 /* ⭐hash+dfs⭐ */
51 public class JZ84_3
52 {
53 public static int res = 0;
54 public static HashMap<Integer, Integer> map = new HashMap<>();
55
56 public static int FindPath(TreeNode root, int sum)
57 {
58 map.put(0, 1);
59 return dfs(root, sum, 0);
60 }
61
62 public static int dfs(TreeNode root, int sum, int val)
63 {
64 if (root == null) return 0;
65 val += root.val;
66 res += map.getOrDefault(val - sum, 0);
67 map.put(val, map.getOrDefault(val, 0) + 1);
68 dfs(root.left, sum, val);
69 dfs(root.right, sum, val);
70 map.put(val, map.get(val) - 1);
71 return res;
72 }
73 }
JZ86 在二叉树中找到两个节点的最近公共祖先⭐
1 /*⭐递归⭐*/
2 public class JZ86_1
3 {
4 public static int lowestCommonAncestor(TreeNode root, int o1, int o2)
5 {
6 return find(root, o1, o2).val;
7 }
8
9 private static TreeNode find(TreeNode root, int o1, int o2)
10 {
11 if (root == null || root.val == o1 || root.val == o2)
12 return root;
13 TreeNode left = find(root.left, o1, o2);
14 TreeNode right = find(root.right, o1, o2);
15 if (left != null && right != null) return root;
16 else return left == null ? right : left;
17 }
18 }
19
20 /* 层次 */
21 public class JZ86_2
22 {
23 public static int lowestCommonAncestor(TreeNode root, int o1, int o2)
24 {
25 Queue<TreeNode> queue = new LinkedList<>();
26 HashMap<Integer, Integer> map = new HashMap<>();
27 ArrayList<Integer> temp = new ArrayList<>();
28 map.put(root.val, Integer.MAX_VALUE);
29 queue.add(root);
30 while (!map.containsKey(o1) || !map.containsKey(o2))
31 {
32 TreeNode treeNode = queue.poll();
33 if (treeNode.left != null)
34 {
35 queue.add(treeNode.left);
36 map.put(treeNode.left.val, treeNode.val);
37 }
38 if (treeNode.right != null)
39 {
40 queue.add(treeNode.right);
41 map.put(treeNode.right.val, treeNode.val);
42 }
43 }
44 while (o1 != Integer.MAX_VALUE)
45 {
46 temp.add(o1);
47 o1 = map.get(o1);
48 }
49 while (!temp.contains(o2))
50 {
51 o2 = map.get(o2);
52 }
53 return o2;
54 }
55 }
56
57 /* tarjan并查集 */
58 public class JZ86_3
59 {
60 public static int[] parent;
61
62 public static int lowestCommonAncestor(TreeNode root, int o1, int o2)
63 {
64 parent = new int[100005];
65 Arrays.fill(parent, -1);
66 return dfs(root, o1, o2);
67 }
68
69 private static int dfs(TreeNode root, int o1, int o2)
70 {
71 if (root == null) return -1;
72 int left = -1, right = -1;
73 if (root.left != null)
74 {
75 left = dfs(root.left, o1, o2);
76 merge(root.val, root.left.val);
77 }
78 if (root.right != null)
79 {
80 right = dfs(root.right, o1, o2);
81 merge(root.val, root.right.val);
82 }
83 if (left == -1 && right == -1)
84 {
85 if (find(o1) == find(o2) && find(o1) != -1)
86 return find(o1);
87 return -1;
88 }
89 return left == -1 ? right : left;
90 }
91
92 public static void merge(int o1, int o2)
93 {
94 int p1 = find(o1);
95 int p2 = find(o2);
96 parent[p2] = p1;
97 }
98
99 public static int find(int o1)
100 {
101 if (parent[o1] != -1)
102 return parent[o1] = find(parent[o1]);
103 return o1;
104 }
105 }
JZ68 二叉搜索树的最近公共祖先
1 /* 非递归 */
2 public class JZ68_1
3 {
4 public int lowestCommonAncestor(TreeNode root, int p, int q)
5 {
6 while (true)
7 {
8 if (p < root.val && q < root.val) root = root.left;
9 else if (p > root.val && q > root.val) root = root.right;
10 else return root.val;
11 }
12 }
13 }
14
15 /* 递归 */
16 public class JZ68_2
17 {
18 public int lowestCommonAncestor(TreeNode root, int p, int q)
19 {
20 if (p < root.val && q < root.val) return lowestCommonAncestor(root.left, p, q);
21 else if (p > root.val && q > root.val) return lowestCommonAncestor(root.right, p, q);
22 else return root.val;
23 }
24 }
