CS-Notes/docs/notes/剑指 Offer 题解 - 20~29.md
2019-04-25 18:43:33 +08:00

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<!-- GFM-TOC -->
* [20. 表示数值的字符串](#20-表示数值的字符串)
* [21. 调整数组顺序使奇数位于偶数前面](#21-调整数组顺序使奇数位于偶数前面)
* [22. 链表中倒数第 K 个结点](#22-链表中倒数第-k-个结点)
* [23. 链表中环的入口结点](#23-链表中环的入口结点)
* [24. 反转链表](#24-反转链表)
* [25. 合并两个排序的链表](#25-合并两个排序的链表)
* [26. 树的子结构](#26-树的子结构)
* [27. 二叉树的镜像](#27-二叉树的镜像)
* [28 对称的二叉树](#28-对称的二叉树)
* [29. 顺时针打印矩阵](#29-顺时针打印矩阵)
<!-- GFM-TOC -->
# 20. 表示数值的字符串
[NowCoder](https://www.nowcoder.com/practice/6f8c901d091949a5837e24bb82a731f2?tpId=13&tqId=11206&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking)
## 题目描述
```html
true
"+100"
"5e2"
"-123"
"3.1416"
"-1E-16"
false
"12e"
"1a3.14"
"1.2.3"
"+-5"
"12e+4.3"
```
## 解题思路
使用正则表达式进行匹配。
```html
[] 字符集合
() 分组
? 重复 0 ~ 1
+ 重复 1 ~ n
* 重复 0 ~ n
. 任意字符
\\. 转义后的 .
\\d 数字
```
```java
public boolean isNumeric(char[] str) {
if (str == null || str.length == 0)
return false;
return new String(str).matches("[+-]?\\d*(\\.\\d+)?([eE][+-]?\\d+)?");
}
```
# 21. 调整数组顺序使奇数位于偶数前面
[NowCoder](https://www.nowcoder.com/practice/beb5aa231adc45b2a5dcc5b62c93f593?tpId=13&tqId=11166&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking)
## 题目描述
需要保证奇数和奇数,偶数和偶数之间的相对位置不变,这和书本不太一样。
<div align="center"> <img src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/d03a2efa-ef19-4c96-97e8-ff61df8061d3.png" width="200px"> </div><br>
## 解题思路
```java
public void reOrderArray(int[] nums) {
// 奇数个数
int oddCnt = 0;
for (int val : nums)
if (val % 2 == 1)
oddCnt++;
int[] copy = nums.clone();
int i = 0, j = oddCnt;
for (int num : copy) {
if (num % 2 == 1)
nums[i++] = num;
else
nums[j++] = num;
}
}
```
# 22. 链表中倒数第 K 个结点
[NowCoder](https://www.nowcoder.com/practice/529d3ae5a407492994ad2a246518148a?tpId=13&tqId=11167&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking)
## 解题思路
设链表的长度为 N。设两个指针 P1 和 P2先让 P1 移动 K 个节点,则还有 N - K 个节点可以移动。此时让 P1 和 P2 同时移动,可以知道当 P1 移动到链表结尾时P2 移动到 N - K 个节点处,该位置就是倒数第 K 个节点。
<div align="center"> <img src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/6b504f1f-bf76-4aab-a146-a9c7a58c2029.png" width="500"/> </div><br>
```java
public ListNode FindKthToTail(ListNode head, int k) {
if (head == null)
return null;
ListNode P1 = head;
while (P1 != null && k-- > 0)
P1 = P1.next;
if (k > 0)
return null;
ListNode P2 = head;
while (P1 != null) {
P1 = P1.next;
P2 = P2.next;
}
return P2;
}
```
# 23. 链表中环的入口结点
[NowCoder](https://www.nowcoder.com/practice/253d2c59ec3e4bc68da16833f79a38e4?tpId=13&tqId=11208&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking)
## 题目描述
一个链表中包含环,请找出该链表的环的入口结点。要求不能使用额外的空间。
## 解题思路
使用双指针,一个指针 fast 每次移动两个节点,一个指针 slow 每次移动一个节点。因为存在环,所以两个指针必定相遇在环中的某个节点上。假设相遇点在下图的 z1 位置,此时 fast 移动的节点数为 x+2y+zslow 为 x+y由于 fast 速度比 slow 快一倍,因此 x+2y+z=2(x+y),得到 x=z。
在相遇点slow 要到环的入口点还需要移动 z 个节点,如果让 fast 重新从头开始移动,并且速度变为每次移动一个节点,那么它到环入口点还需要移动 x 个节点。在上面已经推导出 x=z因此 fast 和 slow 将在环入口点相遇。
<div align="center"> <img src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/bb7fc182-98c2-4860-8ea3-630e27a5f29f.png" width="500"/> </div><br>
```java
public ListNode EntryNodeOfLoop(ListNode pHead) {
if (pHead == null || pHead.next == null)
return null;
ListNode slow = pHead, fast = pHead;
do {
fast = fast.next.next;
slow = slow.next;
} while (slow != fast);
fast = pHead;
while (slow != fast) {
slow = slow.next;
fast = fast.next;
}
return slow;
}
```
# 24. 反转链表
[NowCoder](https://www.nowcoder.com/practice/75e878df47f24fdc9dc3e400ec6058ca?tpId=13&tqId=11168&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking)
## 解题思路
### 递归
```java
public ListNode ReverseList(ListNode head) {
if (head == null || head.next == null)
return head;
ListNode next = head.next;
head.next = null;
ListNode newHead = ReverseList(next);
next.next = head;
return newHead;
}
```
### 迭代
```java
public ListNode ReverseList(ListNode head) {
ListNode newList = new ListNode(-1);
while (head != null) {
ListNode next = head.next;
head.next = newList.next;
newList.next = head;
head = next;
}
return newList.next;
}
```
# 25. 合并两个排序的链表
[NowCoder](https://www.nowcoder.com/practice/d8b6b4358f774294a89de2a6ac4d9337?tpId=13&tqId=11169&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking)
## 题目描述
<div align="center"> <img src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/c094d2bc-ec75-444b-af77-d369dfb6b3b4.png" width="400"/> </div><br>
## 解题思路
### 递归
```java
public ListNode Merge(ListNode list1, ListNode list2) {
if (list1 == null)
return list2;
if (list2 == null)
return list1;
if (list1.val <= list2.val) {
list1.next = Merge(list1.next, list2);
return list1;
} else {
list2.next = Merge(list1, list2.next);
return list2;
}
}
```
### 迭代
```java
public ListNode Merge(ListNode list1, ListNode list2) {
ListNode head = new ListNode(-1);
ListNode cur = head;
while (list1 != null && list2 != null) {
if (list1.val <= list2.val) {
cur.next = list1;
list1 = list1.next;
} else {
cur.next = list2;
list2 = list2.next;
}
cur = cur.next;
}
if (list1 != null)
cur.next = list1;
if (list2 != null)
cur.next = list2;
return head.next;
}
```
# 26. 树的子结构
[NowCoder](https://www.nowcoder.com/practice/6e196c44c7004d15b1610b9afca8bd88?tpId=13&tqId=11170&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking)
## 题目描述
<div align="center"> <img src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/84a5b15a-86c5-4d8e-9439-d9fd5a4699a1.jpg" width="450"/> </div><br>
## 解题思路
```java
public boolean HasSubtree(TreeNode root1, TreeNode root2) {
if (root1 == null || root2 == null)
return false;
return isSubtreeWithRoot(root1, root2) || HasSubtree(root1.left, root2) || HasSubtree(root1.right, root2);
}
private boolean isSubtreeWithRoot(TreeNode root1, TreeNode root2) {
if (root2 == null)
return true;
if (root1 == null)
return false;
if (root1.val != root2.val)
return false;
return isSubtreeWithRoot(root1.left, root2.left) && isSubtreeWithRoot(root1.right, root2.right);
}
```
# 27. 二叉树的镜像
[NowCoder](https://www.nowcoder.com/practice/564f4c26aa584921bc75623e48ca3011?tpId=13&tqId=11171&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking)
## 题目描述
<div align="center"> <img src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/0c12221f-729e-4c22-b0ba-0dfc909f8adf.jpg" width="300"/> </div><br>
## 解题思路
```java
public void Mirror(TreeNode root) {
if (root == null)
return;
swap(root);
Mirror(root.left);
Mirror(root.right);
}
private void swap(TreeNode root) {
TreeNode t = root.left;
root.left = root.right;
root.right = t;
}
```
# 28 对称的二叉树
[NowCoder](https://www.nowcoder.com/practice/ff05d44dfdb04e1d83bdbdab320efbcb?tpId=13&tqId=11211&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking)
## 题目描述
<div align="center"> <img src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/0c12221f-729e-4c22-b0ba-0dfc909f8adf.jpg" width="300"/> </div><br>
## 解题思路
```java
boolean isSymmetrical(TreeNode pRoot) {
if (pRoot == null)
return true;
return isSymmetrical(pRoot.left, pRoot.right);
}
boolean isSymmetrical(TreeNode t1, TreeNode t2) {
if (t1 == null && t2 == null)
return true;
if (t1 == null || t2 == null)
return false;
if (t1.val != t2.val)
return false;
return isSymmetrical(t1.left, t2.right) && isSymmetrical(t1.right, t2.left);
}
```
# 29. 顺时针打印矩阵
[NowCoder](https://www.nowcoder.com/practice/9b4c81a02cd34f76be2659fa0d54342a?tpId=13&tqId=11172&tPage=1&rp=1&ru=/ta/coding-interviews&qru=/ta/coding-interviews/question-ranking)
## 题目描述
下图的矩阵顺时针打印结果为1, 2, 3, 4, 8, 12, 16, 15, 14, 13, 9, 5, 6, 7, 11, 10
<div align="center"> <img src="https://cs-notes-1256109796.cos.ap-guangzhou.myqcloud.com/48517227-324c-4664-bd26-a2d2cffe2bfe.png" width="200px"> </div><br>
## 解题思路
```java
public ArrayList<Integer> printMatrix(int[][] matrix) {
ArrayList<Integer> ret = new ArrayList<>();
int r1 = 0, r2 = matrix.length - 1, c1 = 0, c2 = matrix[0].length - 1;
while (r1 <= r2 && c1 <= c2) {
for (int i = c1; i <= c2; i++)
ret.add(matrix[r1][i]);
for (int i = r1 + 1; i <= r2; i++)
ret.add(matrix[i][c2]);
if (r1 != r2)
for (int i = c2 - 1; i >= c1; i--)
ret.add(matrix[r2][i]);
if (c1 != c2)
for (int i = r2 - 1; i > r1; i--)
ret.add(matrix[i][c1]);
r1++; r2--; c1++; c2--;
}
return ret;
}
```
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