CS-Notes/docs/notes/Leetcode 题解 - 双指针.md
2019-06-08 11:54:07 +08:00

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* [1. 有序数组的 Two Sum](#1-有序数组的-two-sum)
* [2. 两数平方和](#2-两数平方和)
* [3. 反转字符串中的元音字符](#3-反转字符串中的元音字符)
* [4. 回文字符串](#4-回文字符串)
* [5. 归并两个有序数组](#5-归并两个有序数组)
* [6. 判断链表是否存在环](#6-判断链表是否存在环)
* [7. 最长子序列](#7-最长子序列)
<!-- GFM-TOC -->
双指针主要用于遍历数组两个指针指向不同的元素从而协同完成任务
# 1. 有序数组的 Two Sum
[Leetcode 167. Two Sum II - Input array is sorted (Easy)](https://leetcode.com/problems/two-sum-ii-input-array-is-sorted/description/)
```html
Input: numbers={2, 7, 11, 15}, target=9
Output: index1=1, index2=2
```
题目描述在有序数组中找出两个数使它们的和为 target
使用双指针一个指针指向值较小的元素一个指针指向值较大的元素指向较小元素的指针从头向尾遍历指向较大元素的指针从尾向头遍历
- 如果两个指针指向元素的和 sum == target那么得到要求的结果
- 如果 sum > target移动较大的元素使 sum 变小一些
- 如果 sum < target移动较小的元素使 sum 变大一些
```java
public int[] twoSum(int[] numbers, int target) {
int i = 0, j = numbers.length - 1;
while (i < j) {
int sum = numbers[i] + numbers[j];
if (sum == target) {
return new int[]{i + 1, j + 1};
} else if (sum < target) {
i++;
} else {
j--;
}
}
return null;
}
```
# 2. 两数平方和
[633. Sum of Square Numbers (Easy)](https://leetcode.com/problems/sum-of-square-numbers/description/)
```html
Input: 5
Output: True
Explanation: 1 * 1 + 2 * 2 = 5
```
题目描述判断一个数是否为两个数的平方和
```java
public boolean judgeSquareSum(int c) {
int i = 0, j = (int) Math.sqrt(c);
while (i <= j) {
int powSum = i * i + j * j;
if (powSum == c) {
return true;
} else if (powSum > c) {
j--;
} else {
i++;
}
}
return false;
}
```
# 3. 反转字符串中的元音字符
[345. Reverse Vowels of a String (Easy)](https://leetcode.com/problems/reverse-vowels-of-a-string/description/)
```html
Given s = "leetcode", return "leotcede".
```
使用双指针指向待反转的两个元音字符一个指针从头向尾遍历一个指针从尾到头遍历
```java
private final static HashSet<Character> vowels = new HashSet<>(
Arrays.asList('a', 'e', 'i', 'o', 'u', 'A', 'E', 'I', 'O', 'U'));
public String reverseVowels(String s) {
int i = 0, j = s.length() - 1;
char[] result = new char[s.length()];
while (i <= j) {
char ci = s.charAt(i);
char cj = s.charAt(j);
if (!vowels.contains(ci)) {
result[i++] = ci;
} else if (!vowels.contains(cj)) {
result[j--] = cj;
} else {
result[i++] = cj;
result[j--] = ci;
}
}
return new String(result);
}
```
# 4. 回文字符串
[680. Valid Palindrome II (Easy)](https://leetcode.com/problems/valid-palindrome-ii/description/)
```html
Input: "abca"
Output: True
Explanation: You could delete the character 'c'.
```
题目描述可以删除一个字符判断是否能构成回文字符串
```java
public boolean validPalindrome(String s) {
for (int i = 0, j = s.length() - 1; i < j; i++, j--) {
if (s.charAt(i) != s.charAt(j)) {
return isPalindrome(s, i, j - 1) || isPalindrome(s, i + 1, j);
}
}
return true;
}
private boolean isPalindrome(String s, int i, int j) {
while (i < j) {
if (s.charAt(i++) != s.charAt(j--)) {
return false;
}
}
return true;
}
```
# 5. 归并两个有序数组
[88. Merge Sorted Array (Easy)](https://leetcode.com/problems/merge-sorted-array/description/)
```html
Input:
nums1 = [1,2,3,0,0,0], m = 3
nums2 = [2,5,6], n = 3
Output: [1,2,2,3,5,6]
```
题目描述把归并结果存到第一个数组上
需要从尾开始遍历否则在 nums1 上归并得到的值会覆盖还未进行归并比较的值
```java
public void merge(int[] nums1, int m, int[] nums2, int n) {
int index1 = m - 1, index2 = n - 1;
int indexMerge = m + n - 1;
while (index1 >= 0 || index2 >= 0) {
if (index1 < 0) {
nums1[indexMerge--] = nums2[index2--];
} else if (index2 < 0) {
nums1[indexMerge--] = nums1[index1--];
} else if (nums1[index1] > nums2[index2]) {
nums1[indexMerge--] = nums1[index1--];
} else {
nums1[indexMerge--] = nums2[index2--];
}
}
}
```
# 6. 判断链表是否存在环
[141. Linked List Cycle (Easy)](https://leetcode.com/problems/linked-list-cycle/description/)
使用双指针一个指针每次移动一个节点一个指针每次移动两个节点如果存在环那么这两个指针一定会相遇
```java
public boolean hasCycle(ListNode head) {
if (head == null) {
return false;
}
ListNode l1 = head, l2 = head.next;
while (l1 != null && l2 != null && l2.next != null) {
if (l1 == l2) {
return true;
}
l1 = l1.next;
l2 = l2.next.next;
}
return false;
}
```
# 7. 最长子序列
[524. Longest Word in Dictionary through Deleting (Medium)](https://leetcode.com/problems/longest-word-in-dictionary-through-deleting/description/)
```
Input:
s = "abpcplea", d = ["ale","apple","monkey","plea"]
Output:
"apple"
```
题目描述删除 s 中的一些字符使得它构成字符串列表 d 中的一个字符串找出能构成的最长字符串如果有多个相同长度的结果返回字典序的最小字符串
通过删除字符串 s 中的一个字符能得到字符串 t可以认为 t s 的子序列我们可以使用双指针来判断一个字符串是否为另一个字符串的子序列
```java
public String findLongestWord(String s, List<String> d) {
String longestWord = "";
for (String target : d) {
int l1 = longestWord.length(), l2 = target.length();
if (l1 > l2 || (l1 == l2 && longestWord.compareTo(target) < 0)) {
continue;
}
if (isSubstr(s, target)) {
longestWord = target;
}
}
return longestWord;
}
private boolean isSubstr(String s, String target) {
int i = 0, j = 0;
while (i < s.length() && j < target.length()) {
if (s.charAt(i) == target.charAt(j)) {
j++;
}
i++;
}
return j == target.length();
}
```
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