yetao
/
hello-algo
mirror of https://github.com/krahets/hello-algo.git
1
0
Fork 0
Code Issues Packages Projects Releases Wiki Activity

code: added scripts to the doc

Browse Source
pull/196/head
RiverTwilight 2 years ago
parent 92c8d34f13
commit 23b4aa118b
1 changed files with 205 additions and 24 deletions
Show Stats Download Patch File Download Diff File

229
docs/chapter_computational_complexity/time_complexity.md
Unescape View File

@ -416,7 +416,6 @@ $$
}
}
```
=== "TypeScript"
@ -432,7 +431,6 @@ $$
}
}
```
=== "C"
@ -609,7 +607,6 @@ $$
}
}
}
```
=== "TypeScript"
@ -629,7 +626,6 @@ $$
}
}
}
```
=== "C"
@ -778,13 +774,24 @@ $$
=== "JavaScript"
```js title="time_complexity.js"
/* 常数阶 */
function constant(n) {
let count = 0;
const size = 100000;
for (let i = 0; i < size; i++) count++;
return count;
}
```
=== "TypeScript"
```typescript title="time_complexity.ts"
function constant(n: number): number {
let count = 0;
const size = 100000;
for (let i = 0; i < size; i++) count++;
return count;
}
```
=== "C"
@ -876,13 +883,23 @@ $$
=== "JavaScript"
```js title="time_complexity.js"
/* 线性阶 */
function linear(n) {
let count = 0;
for (let i = 0; i < n; i++) count++;
return count;
}
```
=== "TypeScript"
```typescript title="time_complexity.ts"
/* 线性阶 */
function linear(n: number): number {
let count = 0;
for (let i = 0; i < n; i++) count++;
return count;
}
```
=== "C"
@ -980,13 +997,29 @@ $$
=== "JavaScript"
```js title="time_complexity.js"
/* 线性阶（遍历数组） */
function arrayTraversal(nums) {
let count = 0;
// 循环次数与数组长度成正比
for (let i = 0; i < nums.length; i++) {
count++;
}
return count;
}
```
=== "TypeScript"
```typescript title="time_complexity.ts"
/* 线性阶（遍历数组） */
function arrayTraversal(nums: number[]) {
let count = 0;
// 循环次数与数组长度成正比
for (let i = 0; i < nums.length; i++) {
count++;
}
return count;
}
```
=== "C"
@ -1093,13 +1126,33 @@ $$
=== "JavaScript"
```js title="time_complexity.js"
/* 平方阶 */
function quadratic(n) {
let count = 0;
// 循环次数与数组长度成平方关系
for (let i = 0; i < n; i++) {
for (let j = 0; j < n; j++) {
count++;
}
}
return count;
}
```
=== "TypeScript"
```typescript title="time_complexity.ts"
/* 平方阶 */
function quadratic(n: number): number {
let count = 0;
// 循环次数与数组长度成平方关系
for (let i = 0; i < n; i++) {
for (let j = 0; j < n; j++) {
count++;
}
}
return count;
}
```
=== "C"
@ -1244,13 +1297,47 @@ $$
=== "JavaScript"
```js title="time_complexity.js"
/* 平方阶（冒泡排序） */
function bubbleSort(nums) {
let count = 0; // 计数器
// 外循环：待排序元素数量为 n-1, n-2, ..., 1
for (let i = nums.length - 1; i > 0; i--) {
// 内循环：冒泡操作
for (let j = 0; j < i; j++) {
if (nums[j] > nums[j + 1]) {
// 交换 nums[j] 与 nums[j + 1]
let tmp = nums[j];
nums[j] = nums[j + 1];
nums[j + 1] = tmp;
count += 3; // 元素交换包含 3 个单元操作
}
}
}
return count;
}
```
=== "TypeScript"
```typescript title="time_complexity.ts"
/* 平方阶（冒泡排序） */
function bubbleSort(nums: number[]): number {
let count = 0; // 计数器
// 外循环：待排序元素数量为 n-1, n-2, ..., 1
for (let i = nums.length - 1; i > 0; i--) {
// 内循环：冒泡操作
for (let j = 0; j < i; j++) {
if (nums[j] > nums[j + 1]) {
// 交换 nums[j] 与 nums[j + 1]
let tmp = nums[j];
nums[j] = nums[j + 1];
nums[j + 1] = tmp;
count += 3; // 元素交换包含 3 个单元操作
}
}
}
return count;
}
```
=== "C"
@ -1390,13 +1477,40 @@ $$
=== "JavaScript"
```js title="time_complexity.js"
/* 指数阶（循环实现） */
function exponential(n) {
let count = 0,
base = 1;
// cell 每轮一分为二，形成数列 1, 2, 4, 8, ..., 2^(n-1)
for (let i = 0; i < n; i++) {
for (let j = 0; j < base; j++) {
count++;
}
base *= 2;
}
// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1
return count;
}
```
=== "TypeScript"
```typescript title="time_complexity.ts"
/* 指数阶（循环实现） */
function exponential(n: number): number {
let count = 0,
base = 1;
// cell 每轮一分为二，形成数列 1, 2, 4, 8, ..., 2^(n-1)
for (let i = 0; i < n; i++) {
for (let j = 0; j < base; j++) {
count++;
}
base *= 2;
}
// count = 1 + 2 + 4 + 8 + .. + 2^(n-1) = 2^n - 1
return count;
}
```
=== "C"
@ -1495,12 +1609,21 @@ $$
=== "JavaScript"
```js title="time_complexity.js"
/* 指数阶（递归实现） */
function expRecur(n) {
if (n == 1) return 1;
return expRecur(n - 1) + expRecur(n - 1) + 1;
}
```
=== "TypeScript"
```typescript title="time_complexity.ts"
/* 指数阶（递归实现） */
function expRecur(n: number): number {
if (n == 1) return 1;
return expRecur(n - 1) + expRecur(n - 1) + 1;
}
```
@ -1598,13 +1721,29 @@ $$
=== "JavaScript"
```js title="time_complexity.js"
/* 对数阶（循环实现） */
function logarithmic(n) {
let count = 0;
while (n > 1) {
n = n / 2;
count++;
}
return count;
}
```
=== "TypeScript"
```typescript title="time_complexity.ts"
/* 对数阶（循环实现） */
function logarithmic(n: number): number {
let count = 0;
while (n > 1) {
n = n / 2;
count++;
}
return count;
}
```
=== "C"
@ -1694,13 +1833,21 @@ $$
=== "JavaScript"
```js title="time_complexity.js"
/* 对数阶（递归实现） */
function logRecur(n) {
if (n <= 1) return 0;
return logRecur(n / 2) + 1;
}
```
=== "TypeScript"
```typescript title="time_complexity.ts"
/* 对数阶（递归实现） */
function logRecur(n: number): number {
if (n <= 1) return 0;
return logRecur(n / 2) + 1;
}
```
=== "C"
@ -1801,13 +1948,29 @@ $$
=== "JavaScript"
```js title="time_complexity.js"
/* 线性对数阶 */
function linearLogRecur(n) {
if (n <= 1) return 1;
let count = linearLogRecur(n / 2) + linearLogRecur(n / 2);
for (let i = 0; i < n; i++) {
count++;
}
return count;
}
```
=== "TypeScript"
```typescript title="time_complexity.ts"
/* 线性对数阶 */
function linearLogRecur(n: number): number {
if (n <= 1) return 1;
let count = linearLogRecur(n / 2) + linearLogRecur(n / 2);
for (let i = 0; i < n; i++) {
count++;
}
return count;
}
```
=== "C"
@ -1926,13 +2089,31 @@ $$
=== "JavaScript"
```js title="time_complexity.js"
/* 阶乘阶（递归实现） */
function factorialRecur(n) {
if (n == 0) return 1;
let count = 0;
// 从 1 个分裂出 n 个
for (let i = 0; i < n; i++) {
count += factorialRecur(n - 1);
}
return count;
}
```
=== "TypeScript"
```typescript title="time_complexity.ts"
/* 阶乘阶（递归实现） */
function factorialRecur(n: number): number {
if (n == 0) return 1;
let count = 0;
// 从 1 个分裂出 n 个
for (let i = 0; i < n; i++) {
count += factorialRecur(n - 1);
}
return count;
}
```
=== "C"

Write Preview
Loading…
Cancel
Save