Merge branch 'master' into feature/nextString

This commit is contained in:
程序员Carl
2024-10-21 09:28:42 +08:00
committed by GitHub
16 changed files with 586 additions and 32 deletions

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@@ -869,6 +869,65 @@ if __name__ == "__main__":
### Javascript
```js
function dijkstra(grid, start, end) {
const visited = Array.from({length: end + 1}, () => false)
const minDist = Array.from({length: end + 1}, () => Number.MAX_VALUE)
minDist[start] = 0
for (let i = 1 ; i < end + 1 ; i++) {
let cur = -1
let tempMinDist = Number.MAX_VALUE
// 1. 找尋與起始點距離最近且未被訪的節點
for (let j = 1 ; j < end + 1 ; j++) {
if (!visited[j] && minDist[j] < tempMinDist) {
cur = j
tempMinDist = minDist[j]
}
}
if (cur === -1) break;
// 2. 更新節點狀態為已拜訪
visited[cur] = true
// 3. 更新未拜訪節點與起始點的最短距離
for (let j = 1 ; j < end + 1 ; j++) {
if(!visited[j] && grid[cur][j] != Number.MAX_VALUE
&& grid[cur][j] + minDist[cur] < minDist[j]
) {
minDist[j] = grid[cur][j] + minDist[cur]
}
}
}
return minDist[end] === Number.MAX_VALUE ? -1 : minDist[end]
}
async function main() {
// 輸入
const rl = require('readline').createInterface({ input: process.stdin })
const iter = rl[Symbol.asyncIterator]()
const readline = async () => (await iter.next()).value
const [n, m] = (await readline()).split(" ").map(Number)
const grid = Array.from({length: n + 1},
() => Array.from({length:n + 1}, () => Number.MAX_VALUE))
for (let i = 0 ; i < m ; i++) {
const [s, e, w] = (await readline()).split(" ").map(Number)
grid[s][e] = w
}
// dijkstra
const result = dijkstra(grid, 1, n)
// 輸出
console.log(result)
}
main()
```
### TypeScript
### PhP

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@@ -549,6 +549,62 @@ if __name__ == "__main__":
### Javascript
```js
function kruskal(v, edges) {
const father = Array.from({ length: v + 1 }, (_, i) => i)
function find(u){
if (u === father[u]) {
return u
} else {
father[u] = find(father[u])
return father[u]
}
}
function isSame(u, v) {
let s = find(u)
let t = find(v)
return s === t
}
function join(u, v) {
let s = find(u)
let t = find(v)
if (s !== t) {
father[s] = t
}
}
edges.sort((a, b) => a[2] - b[2])
let result = 0
for (const [v1, v2, w] of edges) {
if (!isSame(v1, v2)) {
result += w
join(v1 ,v2)
}
}
console.log(result)
}
async function main() {
const rl = require('readline').createInterface({ input: process.stdin })
const iter = rl[Symbol.asyncIterator]()
const readline = async () => (await iter.next()).value
const [v, e] = (await readline()).split(" ").map(Number)
const edges = []
for (let i = 0 ; i < e ; i++) {
edges.push((await readline()).split(" ").map(Number))
}
kruskal(v, edges)
}
main()
```
### TypeScript
### PhP

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@@ -693,6 +693,55 @@ if __name__ == "__main__":
### Rust
### Javascript
```js
function prim(v, edges) {
const grid = Array.from({ length: v + 1 }, () => new Array(v + 1).fill(10001)); // Fixed grid initialization
const minDist = new Array(v + 1).fill(10001)
const isInTree = new Array(v + 1).fill(false)
// 建構鄰接矩陣
for(const [v1, v2, w] of edges) {
grid[v1][v2] = w
grid[v2][v1] = w
}
// prim 演算法
for (let i = 1 ; i < v ; i++) {
let cur = -1
let tempMinDist = Number.MAX_VALUE
// 1. 尋找距離生成樹最近的節點
for (let j = 1 ; j < v + 1 ; j++) {
if (!isInTree[j] && minDist[j] < tempMinDist) {
tempMinDist = minDist[j]
cur = j
}
}
// 2. 將節點放入生成樹
isInTree[cur] = true
// 3. 更新非生成樹節點與生成樹的最短距離
for (let j = 1 ; j < v + 1 ; j++) {
if (!isInTree[j] && grid[cur][j] < minDist[j]) {
minDist[j] = grid[cur][j]
}
}
}
console.log(minDist.slice(2).reduce((acc, cur) => acc + cur, 0))
}
async function main() {
const rl = require('readline').createInterface({ input: process.stdin })
const iter = rl[Symbol.asyncIterator]()
const readline = async () => (await iter.next()).value
const [v, e] = (await readline()).split(" ").map(Number)
const edges = []
for (let i = 0 ; i < e ; i++) {
edges.push((await readline()).split(" ").map(Number))
}
prim(v, edges)
}
main()
```
### TypeScript

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@@ -464,6 +464,60 @@ if __name__ == "__main__":
### Javascript
```js
async function main() {
// 輸入
const rl = require('readline').createInterface({ input: process.stdin })
const iter = rl[Symbol.asyncIterator]()
const readline = async () => (await iter.next()).value
const [n, m] = (await readline()).split(" ").map(Number)
const grid = {}
for (let i = 0 ; i < m ; i++) {
const [src, desc, w] = (await readline()).split(" ").map(Number)
if (grid.hasOwnProperty(src)) {
grid[src].push([desc, w])
} else {
grid[src] = [[desc, w]]
}
}
const minDist = Array.from({length: n + 1}, () => Number.MAX_VALUE)
// 起始點
minDist[1] = 0
const q = [1]
const visited = Array.from({length: n + 1}, () => false)
while (q.length) {
const src = q.shift()
const neighbors = grid[src]
visited[src] = false
if (neighbors) {
for (const [desc, w] of neighbors) {
if (minDist[src] !== Number.MAX_VALUE
&& minDist[src] + w < minDist[desc]) {
minDist[desc] = minDist[src] + w
if (!visited[desc]) {
q.push(desc)
visited[desc] = true
}
}
}
}
}
// 輸出
if (minDist[n] === Number.MAX_VALUE) {
console.log('unconnected')
} else {
console.log(minDist[n])
}
}
main()
```
### TypeScript
### PhP

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@@ -485,6 +485,45 @@ if __name__ == "__main__":
### Javascript
```js
async function main() {
// 輸入
const rl = require('readline').createInterface({ input: process.stdin })
const iter = rl[Symbol.asyncIterator]()
const readline = async () => (await iter.next()).value
const [n, m] = (await readline()).split(" ").map(Number)
const edges = []
for (let i = 0 ; i < m ; i++) {
edges.push((await readline()).split(" ").map(Number))
}
const minDist = Array.from({length: n + 1}, () => Number.MAX_VALUE)
// 起始點
minDist[1] = 0
for (let i = 1 ; i < n ; i++) {
let update = false
for (const [src, desc, w] of edges) {
if (minDist[src] !== Number.MAX_VALUE && minDist[src] + w < minDist[desc]) {
minDist[desc] = minDist[src] + w
update = true
}
}
if (!update) {
break;
}
}
// 輸出
if (minDist[n] === Number.MAX_VALUE) {
console.log('unconnected')
} else {
console.log(minDist[n])
}
}
main()
```
### TypeScript
### PhP

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@@ -703,6 +703,42 @@ public class Main {
```
### Python
```python
def main():
# 輸入
n, m = map(int, input().split())
edges = list()
for _ in range(m):
edges.append(list(map(int, input().split() )))
start, end, k = map(int, input().split())
min_dist = [float('inf') for _ in range(n + 1)]
min_dist[start] = 0
# 只能經過k個城市所以從起始點到中間有(k + 1)個邊連接
# 需要鬆弛(k + 1)次
for _ in range(k + 1):
update = False
min_dist_copy = min_dist.copy()
for src, desc, w in edges:
if (min_dist_copy[src] != float('inf') and
min_dist_copy[src] + w < min_dist[desc]):
min_dist[desc] = min_dist_copy[src] + w
update = True
if not update:
break
# 輸出
if min_dist[end] == float('inf'):
print('unreachable')
else:
print(min_dist[end])
if __name__ == "__main__":
main()
```
### Go

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@@ -499,6 +499,55 @@ main();
### Swift
### Scala
```scala
import scala.collection.mutable.Queue
import util.control.Breaks._
// Dev on LeetCode: https://leetcode.cn/problems/number-of-islands/description/
object Solution {
def numIslands(grid: Array[Array[Char]]): Int = {
val row = grid.length
val col = grid(0).length
val dir = List((-1,0), (0,-1), (1,0), (0,1)) // 四个方向
var visited = Array.fill(row)(Array.fill(col)(false))
var counter = 0
var que = Queue.empty[Tuple2[Int, Int]]
(0 until row).map{ r =>
(0 until col).map{ c =>
breakable {
if (!visited(r)(c) && grid(r)(c) == '1') {
que.enqueue((r, c))
visited(r)(c) // 只要加入队列,立刻标记
} else break // 不是岛屿不进入queue也不记录
while (!que.isEmpty) {
val cur = que.head
que.dequeue()
val x = cur(0)
val y = cur(1)
dir.map{ d =>
val nextX = x + d(0)
val nextY = y + d(1)
breakable {
// 越界就跳过
if (nextX < 0 || nextX >= row || nextY < 0 || nextY >= col) break
if (!visited(nextX)(nextY) && grid(nextX)(nextY) == '1') {
visited(nextX)(nextY) = true // 只要加入队列,立刻标记
que.enqueue((nextX, nextY))
}
}
}
}
counter = counter + 1 // 找完一个岛屿后记录一下
}
}
}
counter
}
}
```
### C#

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@@ -316,6 +316,7 @@ public class Main {
count = 0;
bfs(map, visited, i, j);
result = Math.max(count, result);
}
}
}
@@ -343,8 +344,6 @@ public class Main {
}
```
### Python
DFS
@@ -510,6 +509,144 @@ func main() {
### Rust
DFS
``` rust
use std::io;
use std::cmp;
// 定义四个方向
const DIRECTIONS: [(i32, i32); 4] = [(0, 1), (1, 0), (-1, 0), (0, -1)];
fn dfs(grid: &Vec<Vec<i32>>, visited: &mut Vec<Vec<bool>>, x: usize, y: usize, count: &mut i32) {
if visited[x][y] || grid[x][y] == 0 {
return; // 终止条件:已访问或者遇到海水
}
visited[x][y] = true; // 标记已访问
*count += 1;
for &(dx, dy) in DIRECTIONS.iter() {
let new_x = x as i32 + dx;
let new_y = y as i32 + dy;
// 检查边界条件
if new_x >= 0 && new_x < grid.len() as i32 && new_y >= 0 && new_y < grid[0].len() as i32 {
dfs(grid, visited, new_x as usize, new_y as usize, count);
}
}
}
fn main() {
let mut input = String::new();
// 读取 n 和 m
io::stdin().read_line(&mut input);
let dims: Vec<usize> = input.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
let (n, m) = (dims[0], dims[1]);
// 读取 grid
let mut grid = vec![];
for _ in 0..n {
input.clear();
io::stdin().read_line(&mut input);
let row: Vec<i32> = input.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
grid.push(row);
}
// 初始化访问记录
let mut visited = vec![vec![false; m]; n];
let mut result = 0;
// 遍历所有格子
for i in 0..n {
for j in 0..m {
if !visited[i][j] && grid[i][j] == 1 {
let mut count = 0;
dfs(&grid, &mut visited, i, j, &mut count);
result = cmp::max(result, count);
}
}
}
// 输出结果
println!("{}", result);
}
```
BFS
```rust
use std::io;
use std::collections::VecDeque;
// 定义四个方向
const DIRECTIONS: [(i32, i32); 4] = [(0, 1), (1, 0), (-1, 0), (0, -1)];
fn bfs(grid: &Vec<Vec<i32>>, visited: &mut Vec<Vec<bool>>, x: usize, y: usize) -> i32 {
let mut count = 0;
let mut queue = VecDeque::new();
queue.push_back((x, y));
visited[x][y] = true; // 标记已访问
while let Some((cur_x, cur_y)) = queue.pop_front() {
count += 1; // 增加计数
for &(dx, dy) in DIRECTIONS.iter() {
let new_x = cur_x as i32 + dx;
let new_y = cur_y as i32 + dy;
// 检查边界条件
if new_x >= 0 && new_x < grid.len() as i32 && new_y >= 0 && new_y < grid[0].len() as i32 {
let new_x_usize = new_x as usize;
let new_y_usize = new_y as usize;
// 如果未访问且是陆地,加入队列
if !visited[new_x_usize][new_y_usize] && grid[new_x_usize][new_y_usize] == 1 {
visited[new_x_usize][new_y_usize] = true; // 标记已访问
queue.push_back((new_x_usize, new_y_usize));
}
}
}
}
count
}
fn main() {
let mut input = String::new();
// 读取 n 和 m
io::stdin().read_line(&mut input).expect("Failed to read line");
let dims: Vec<usize> = input.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
let (n, m) = (dims[0], dims[1]);
// 读取 grid
let mut grid = vec![];
for _ in 0..n {
input.clear();
io::stdin().read_line(&mut input).expect("Failed to read line");
let row: Vec<i32> = input.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
grid.push(row);
}
// 初始化访问记录
let mut visited = vec![vec![false; m]; n];
let mut result = 0;
// 遍历所有格子
for i in 0..n {
for j in 0..m {
if !visited[i][j] && grid[i][j] == 1 {
let count = bfs(&grid, &mut visited, i, j);
result = result.max(count);
}
}
}
// 输出结果
println!("{}", result);
}
```
### Javascript