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Merge branch 'master' of github.com:krahets/hello-algo
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krahets committed Jan 4, 2023
2 parents 4223cce + f06f80b commit 01e211c
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112 changes: 112 additions & 0 deletions codes/c/chapter_array_and_linkedlist/array.c
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/*
* File: array.c
* Created Time: 2022-12-20
* Author: MolDuM ([email protected])
*/

#include "../include/include.h"

/* 随机返回一个数组元素 */
int randomAccess(int* nums, int size) {
// 在区间 [0, size) 中随机抽取一个数字
int randomIndex = rand() % size;
// 获取并返回随机元素
int randomNum = nums[randomIndex];
return randomNum;
}

/* 扩展数组长度 */
int* extend(int* nums, int size, int enlarge) {
// 初始化一个扩展长度后的数组
int* res = (int *)malloc(sizeof(int) * (size + enlarge));
// 将原数组中的所有元素复制到新数组
for (int i = 0; i < size; i++) {
res[i] = nums[i];
}
// 初始化扩展后的空间
for (int i = size; i < size + enlarge; i++) {
res[i] = 0;
}
// 返回扩展后的新数组
return res;
}

/* 在数组的索引 index 处插入元素 num */
void insert(int* nums, int size, int num, int index) {
// 把索引 index 以及之后的所有元素向后移动一位
for (int i = size - 1; i > index; i--) {
nums[i] = nums[i - 1];
}
// 将 num 赋给 index 处元素
nums[index] = num;
}

/* 删除索引 index 处元素 */
void removeItem(int* nums, int size, int index) {
// 把索引 index 之后的所有元素向前移动一位
for (int i = index; i < size - 1; i++) {
nums[i] = nums[i + 1];
}
}

/* 遍历数组 */
void traverse(int* nums, int size) {
int count = 0;
// 通过索引遍历数组
for (int i = 0; i < size; i++) {
count++;
}
}

/* 在数组中查找指定元素 */
int find(int* nums, int size, int target) {
for (int i = 0; i < size; i++) {
if (nums[i] == target)
return i;
}
return -1;
}


/* Driver Code */
int main() {
/* 初始化数组 */
int size = 5;
int arr[5];
printf("数组 arr = ");
printArray(arr, size);

int nums[5] = { 1, 3, 2, 5, 4 };
printf("数组 nums = ");
printArray(nums, size);

/* 随机访问 */
int randomNum = randomAccess(nums, size);
printf("在 nums 中获取随机元素 %d", randomNum);

/* 长度扩展 */
int enlarge = 3;
int* res = extend(nums, size, enlarge);
size += enlarge;
printf("将数组长度扩展至 8 ,得到 nums = ");
printArray(res, size);

/* 插入元素 */
insert(res, size, 6, 3);
printf("在索引 3 处插入数字 6 ,得到 nums = ");
printArray(res, size);

/* 删除元素 */
removeItem(res, size, 2);
printf("删除索引 2 处的元素,得到 nums = ");
printArray(res, size);

/* 遍历数组 */
traverse(res, size);

/* 查找元素 */
int index = find(res, size, 3);
printf("在 res 中查找元素 3 ,得到索引 = %d\n", index);

return 0;
}
30 changes: 30 additions & 0 deletions codes/c/include/PrintUtil.h
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/*
* File: PrintUtil.h
* Created Time: 2022-12-21
* Author: MolDum ([email protected])
*/

#include <stdio.h>
#include <string.h>
#include <stdlib.h>

// #include "ListNode.h"
// #include "TreeNode.h"

/**
* @brief Print an Array
*
* @param arr
* @param n
*/

static void printArray(int* arr, int n)
{
printf("[");
for (int i = 0; i < n - 1; i++) {
printf("%d, ", arr[i]);
}
printf("%d]\n", arr[n-1]);
}


14 changes: 12 additions & 2 deletions codes/c/include/include.h
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@@ -1,2 +1,12 @@
#include <stdio.h>
#include <stdbool.h>
/*
* File: include.h
* Created Time: 2022-12-20
* Author: MolDuM ([email protected])
*/

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <stdbool.h>

#include "PrintUtil.h"
2 changes: 2 additions & 0 deletions codes/swift/Package.swift
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Expand Up @@ -8,11 +8,13 @@ let package = Package(
.executable(name: "time_complexity", targets: ["time_complexity"]),
.executable(name: "worst_best_time_complexity", targets: ["worst_best_time_complexity"]),
.executable(name: "space_complexity", targets: ["space_complexity"]),
.executable(name: "leetcode_two_sum", targets: ["leetcode_two_sum"]),
],
targets: [
.target(name: "utils", path: "utils"),
.executableTarget(name: "time_complexity", path: "chapter_computational_complexity", sources: ["time_complexity.swift"]),
.executableTarget(name: "worst_best_time_complexity", path: "chapter_computational_complexity", sources: ["worst_best_time_complexity.swift"]),
.executableTarget(name: "space_complexity", dependencies: ["utils"], path: "chapter_computational_complexity", sources: ["space_complexity.swift"]),
.executableTarget(name: "leetcode_two_sum", path: "chapter_computational_complexity", sources: ["leetcode_two_sum.swift"]),
]
)
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/*
* File: leetcode_two_sum.swift
* Created Time: 2023-01-03
* Author: nuomi1 ([email protected])
*/

func twoSumBruteForce(nums: [Int], target: Int) -> [Int] {
// 两层循环,时间复杂度 O(n^2)
for i in nums.indices.dropLast() {
for j in nums.indices.dropFirst(i + 1) {
if nums[i] + nums[j] == target {
return [i, j]
}
}
}
return [0]
}

func twoSumHashTable(nums: [Int], target: Int) -> [Int] {
// 辅助哈希表,空间复杂度 O(n)
var dic: [Int: Int] = [:]
// 单层循环,时间复杂度 O(n)
for i in nums.indices {
if let j = dic[target - nums[i]] {
return [j, i]
}
dic[nums[i]] = i
}
return [0]
}

@main
enum LeetcodeTwoSum {
static func main() {
// ======= Test Case =======
let nums = [2, 7, 11, 15]
let target = 9
// ====== Driver Code ======
// 方法一
var res = twoSumBruteForce(nums: nums, target: target)
print("方法一 res = \(res)")
// 方法二
res = twoSumHashTable(nums: nums, target: target)
print("方法二 res = \(res)")
}
}
33 changes: 33 additions & 0 deletions docs/chapter_computational_complexity/space_time_tradeoff.md
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Expand Up @@ -149,6 +149,22 @@ comments: true
}
```

=== "Swift"

```swift title="leetcode_two_sum.swift"
func twoSumBruteForce(nums: [Int], target: Int) -> [Int] {
// 两层循环,时间复杂度 O(n^2)
for i in nums.indices.dropLast() {
for j in nums.indices.dropFirst(i + 1) {
if nums[i] + nums[j] == target {
return [i, j]
}
}
}
return [0]
}
```

### 方法二:辅助哈希表

时间复杂度 $O(N)$ ,空间复杂度 $O(N)$ ,属于「空间换时间」。
Expand Down Expand Up @@ -294,3 +310,20 @@ comments: true
}
}
```

=== "Swift"

```swift title="leetcode_two_sum.swift"
func twoSumHashTable(nums: [Int], target: Int) -> [Int] {
// 辅助哈希表,空间复杂度 O(n)
var dic: [Int: Int] = [:]
// 单层循环,时间复杂度 O(n)
for i in nums.indices {
if let j = dic[target - nums[i]] {
return [j, i]
}
dic[nums[i]] = i
}
return [0]
}
```
2 changes: 1 addition & 1 deletion docs/chapter_tree/binary_tree.md
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Expand Up @@ -120,7 +120,7 @@ comments: true

- 「根结点 Root Node」:二叉树最顶层的结点,其没有父结点;
- 「叶结点 Leaf Node」:没有子结点的结点,其两个指针都指向 $\text{null}$ ;
- 结点所处「层 Level」:从顶置底依次增加,根结点所处层为 1 ;
- 结点所处「层 Level」:从顶至底依次增加,根结点所处层为 1 ;
- 结点「度 Degree」:结点的子结点数量。二叉树中,度的范围是 0, 1, 2 ;
- 「边 Edge」:连接两个结点的边,即结点指针;
- 二叉树「高度」:二叉树中根结点到最远叶结点走过边的数量;
Expand Down

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