From dbeba4e7fdf71c190e690847efed72089746fd73 Mon Sep 17 00:00:00 2001 From: doomwatcher2004 <18613385607@163.com> Date: Sun, 4 Dec 2022 16:46:53 +0800 Subject: [PATCH] =?UTF-8?q?=E5=A4=84=E7=90=86=E7=BC=A9=E8=BF=9B=E4=B8=8E?= =?UTF-8?q?=E6=A0=BC=E5=BC=8F=E4=BB=A5=E5=8F=8A=E6=96=87=E7=8C=AE=E5=86=85?= =?UTF-8?q?=E5=AE=B9=E9=97=AE=E9=A2=98?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- .../20221204_doomwatcher2004.java | 44 ++++++ .../image-20221204164516333.png | Bin 0 -> 47952 bytes .../image-20221204164550069.png | Bin 0 -> 53728 bytes docs/chapter_doublePointer/Double_pointer.md | 141 ++++++++++++++++++ 4 files changed, 185 insertions(+) create mode 100644 codes/java/chapter_doublePointer/20221204_doomwatcher2004.java create mode 100644 docs/chapter_doublePointer/Double_pointer.assets/image-20221204164516333.png create mode 100644 docs/chapter_doublePointer/Double_pointer.assets/image-20221204164550069.png create mode 100644 docs/chapter_doublePointer/Double_pointer.md diff --git a/codes/java/chapter_doublePointer/20221204_doomwatcher2004.java b/codes/java/chapter_doublePointer/20221204_doomwatcher2004.java new file mode 100644 index 0000000..1021de6 --- /dev/null +++ b/codes/java/chapter_doublePointer/20221204_doomwatcher2004.java @@ -0,0 +1,44 @@ + +import java.util.Arrays; + +public class double_pointer { + public static void main(String[] args) { + int[] arr = {2,7,11,15}; + int[] result = twoSum(arr, 9); + System.out.println("结果集:"+ Arrays.toString(result)); + } + + /* 快慢指针案例 */ + static int removeElement(int[] nums, int val) { + int fast = 0, slow = 0; + while (fast < nums.length) { + /* + * 如果nums[fast] = target 那么fast++, + * 如果nums[fast] != target nums[slow]与nums[fast]交换 + */ + if (nums[fast] != val) { + nums[slow] = nums[fast]; + slow++; + } + fast++; + } + return slow; + } + /* 相向左右指针案例 */ + static int[] twoSum(int[] nums, int target) { + // 一左一右两个指针相向而行 + int left = 0, right = nums.length - 1; + while (left < right) { + int sum = nums[left] + nums[right]; + if (sum == target) { + // 题目要求下表从1开始 + return new int[]{left + 1, right + 1}; + } else if (sum < target) { + left++; // 让 sum 大一点 + } else if (sum > target) { + right--; // 让 sum 小一点 + } + } + return new int[]{-1, -1}; + } +} diff --git a/docs/chapter_doublePointer/Double_pointer.assets/image-20221204164516333.png b/docs/chapter_doublePointer/Double_pointer.assets/image-20221204164516333.png new file mode 100644 index 0000000000000000000000000000000000000000..f1a0c4dfd959fed0f6c06ad2a55c5be990d2b27e GIT binary patch literal 47952 zcmc$`by!tj+b)WMhzLj~yCmxOe8cc+TL0tBQRq@=qW3F+?cMR)fe@O$6y z+wVF1I{)l*_F31ZQ|DZB%rT$w*bN zwg(r@Ow|RB9ikIi?Rw1ZZn{|R)K~7Fy3cWibwIbXGBfv%kIfy+a7RW)FhVLSDmYol zmxHDgW;tzycX}utihBKqLb6^4!FPmKR-B)jf|Algbo;$8kFHqO!wo& zVuATc?GjYkj>P}uv~hIVC5+?@0wP5~K&h>(tD92q=<4c<9huzuD;f9BG2dmioZV(M z+tK2`{$rTqh@bv{X!`$80&-H6moKf6wYM+pA$S=m1UWb;E^=5XXD4=4C3aliap*y= 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指的是两个指针从同一侧开始遍历数组,将这两个指针分别定义为`快指针(fast)`和`慢指针(slow)`,两个指针以不同的策略移动,直到两个指针的值相等(或其他特殊条件)为止,如快指针(fast)每次增长两个,慢指针(slow)每次增长一个。 + +**PS**: + +慢指针(slow)一般指向数组的第一个元素 +快指针(fast)一般指向数组的第一个元素 + +用一个小案例理解快慢指针在数组中的作用 + +### [移除数组中的元素](https://leetcode.cn/problems/remove-element/) + +有一个数组nums 我们需要根据输入的 `target`来移除数组中的元素,不需要考虑数组中超出新长度后面的元素 + +例如数组内容是:[3, 2, 2, 3] target = 3 + +那么函数返回的长度应该是 2 (取出3之后只需要数组前两位是正确的也就是 [2,2] 就算成功 后续的不用考虑) + +### 示例思路图 + +![image-20221204164516333](Double_pointer.assets/image-20221204164516333.png) + + + +根据示例图思路我们此时再讲述快慢双指针的使用方法 : + +1. 一般来说 fast指针与slow指针的按照区间前后移动 在移动的过程中去处理数据 + +2. 其实快慢指针的移动区间不一定是非要 fast+2 slow+1 区间可以根据不同需要灵活变化 + +3. 一般来说使用快慢双指针的复杂度是 O(N) + +### 解题 Code + +=== "Java" + + ```java title="double_pointer.java" + public static void main(String[] args) { + int[] arr = {3,2,2,3}; + int res = removeElement(arr, 3); + System.out.println("有效长度"+res+" :"+" 数组内的数据"+ Arrays.toString(arr)); + } + + /* 快慢指针案例 */ + static int removeElement(int[] nums, int val) { + int fast = 0, slow = 0; + while (fast < nums.length) { + /* + * 如果nums[fast] = target 那么fast++, + * 如果nums[fast] != target nums[slow]与nums[fast]交换 + */ + if (nums[fast] != val) { + nums[slow] = nums[fast]; + slow++; + } + fast++; + } + return slow; + } + ``` + + + +## 左右指针 + +这里引用一道入门的数组题目的双指针解法来理解对撞双指针 + +### [两数之和 II 有序数组](https://leetcode.cn/problems/two-sum-ii-input-array-is-sorted/) + +给你一个下标从 **1** 开始的整数数组 `numbers` ,该数组已按 **非递减顺序排列**和一个整数目标值 target,请你在该数组中找出 和为目标值 target 的那 两个 整数,并返回它们的数组下标。 + +你可以假设每种输入只会对应一个答案。但是,数组中同一个元素在答案里不能重复出现。 + +**示例 :** + +输入:nums = [2,7,11,15], target = 9 +输出:[0,1] +解释:因为 nums[0] + nums[1] == 9 ,返回 [0, 1] + +### 示例思路图 + +![image-20221204164550069](Double_pointer.assets/image-20221204164550069.png) + +根据示例图思路我们此时再讲述相向左右双指针的使用方法 : + +1. 根据条件判断去调整left和right指针的位置 来达到想要的效果 + +2. 一般来说使用左右双指针的复杂度是 O(N) + +### 解题 Code + +=== "Java" + + ```java title="double_pointer.java" + public static void main(String[] args) { + int[] arr = {2,7,11,15}; + int[] result = twoSum(arr, 9); + System.out.println("结果集:"+ Arrays.toString(result)); + } + + /* 相向左右指针案例 */ + static int[] twoSum(int[] nums, int target) { + // 一左一右两个指针相向而行 + int left = 0, right = nums.length - 1; + while (left < right) { + int sum = nums[left] + nums[right]; + if (sum == target) { + // 题目要求下表从1开始 + return new int[]{left + 1, right + 1}; + } else if (sum < target) { + left++; // 让 sum 大一点 + } else if (sum > target) { + right--; // 让 sum 小一点 + } + } + return new int[]{-1, -1}; + } + ``` + +## 总结 + +快慢指针和左右指针都是使用双指针的技巧: + +1. 快慢指针一般应用于需要遍历比较或者是数组,链表的元素操作 + +2. 左右指针一般应用于数组内的元素操作上 + +双指针的技巧就是为了简化我们在遍历的时候函数的复杂度,很多需要嵌套循环才能解决的问题 用双指针往往可以获得优化。 \ No newline at end of file