cargo fmt rust code (#1131)

* cargo fmt code

* Add empty line to seperate unrelated comments

* Fix review

* Update bubble_sort.rs

* Update merge_sort.rs

---------

Co-authored-by: Yudong Jin <krahets@163.com>
This commit is contained in:
rongyi
2024-03-16 02:13:41 +08:00
committed by GitHub
parent 54ceef3443
commit 7b1094318b
70 changed files with 1021 additions and 836 deletions

View File

@@ -1,37 +1,41 @@
/*
* File: climbing_stairs_backtrack.rs
* Created Time: 2023-07-09
* Author: codingonion (coderonion@gmail.com)
*/
/* 回溯 */
fn backtrack(choices: &[i32], state: i32, n: i32, res: &mut [i32]) {
// 当爬到第 n 阶时,方案数量加 1
if state == n { res[0] = res[0] + 1; }
// 遍历所有选择
for &choice in choices {
// 剪枝:不允许越过第 n 阶
if state + choice > n { continue; }
// 尝试:做出选择,更新状态
backtrack(choices, state + choice, n, res);
// 回退
}
}
/* 爬楼梯:回溯 */
fn climbing_stairs_backtrack(n: usize) -> i32 {
let choices = vec![ 1, 2 ]; // 可选择向上爬 1 阶或 2 阶
let state = 0; // 从第 0 阶开始爬
let mut res = Vec::new();
res.push(0); // 使用 res[0] 记录方案数量
backtrack(&choices, state, n as i32, &mut res);
res[0]
}
/* Driver Code */
pub fn main() {
let n: usize = 9;
let res = climbing_stairs_backtrack(n);
println!("{n} 阶楼梯共有 {res} 种方案");
}
/*
* File: climbing_stairs_backtrack.rs
* Created Time: 2023-07-09
* Author: codingonion (coderonion@gmail.com)
*/
/* 回溯 */
fn backtrack(choices: &[i32], state: i32, n: i32, res: &mut [i32]) {
// 当爬到第 n 阶时,方案数量加 1
if state == n {
res[0] = res[0] + 1;
}
// 遍历所有选择
for &choice in choices {
// 剪枝:不允许越过第 n 阶
if state + choice > n {
continue;
}
// 尝试:做出选择,更新状态
backtrack(choices, state + choice, n, res);
// 回退
}
}
/* 爬楼梯:回溯 */
fn climbing_stairs_backtrack(n: usize) -> i32 {
let choices = vec![1, 2]; // 可选择向上爬 1 阶或 2 阶
let state = 0; // 从第 0 阶开始爬
let mut res = Vec::new();
res.push(0); // 使用 res[0] 记录方案数量
backtrack(&choices, state, n as i32, &mut res);
res[0]
}
/* Driver Code */
pub fn main() {
let n: usize = 9;
let res = climbing_stairs_backtrack(n);
println!("{n} 阶楼梯共有 {res} 种方案");
}

View File

@@ -1,31 +1,33 @@
/*
* File: climbing_stairs_constraint_dp.rs
* Created Time: 2023-07-09
* Author: codingonion (coderonion@gmail.com)
*/
/* 带约束爬楼梯:动态规划 */
fn climbing_stairs_constraint_dp(n: usize) -> i32 {
if n == 1 || n == 2 { return 1 };
// 初始化 dp 表,用于存储子问题的解
let mut dp = vec![vec![-1; 3]; n + 1];
// 初始状态:预设最小子问题的解
dp[1][1] = 1;
dp[1][2] = 0;
dp[2][1] = 0;
dp[2][2] = 1;
// 状态转移:从较小子问题逐步求解较大子问题
for i in 3..=n {
dp[i][1] = dp[i - 1][2];
dp[i][2] = dp[i - 2][1] + dp[i - 2][2];
}
dp[n][1] + dp[n][2]
}
/* Driver Code */
pub fn main() {
let n: usize = 9;
let res = climbing_stairs_constraint_dp(n);
println!("{n} 阶楼梯共有 {res} 种方案");
}
/*
* File: climbing_stairs_constraint_dp.rs
* Created Time: 2023-07-09
* Author: codingonion (coderonion@gmail.com)
*/
/* 带约束爬楼梯:动态规划 */
fn climbing_stairs_constraint_dp(n: usize) -> i32 {
if n == 1 || n == 2 {
return 1;
};
// 初始化 dp 表,用于存储子问题的解
let mut dp = vec![vec![-1; 3]; n + 1];
// 初始状态:预设最小子问题的解
dp[1][1] = 1;
dp[1][2] = 0;
dp[2][1] = 0;
dp[2][2] = 1;
// 状态转移:从较小子问题逐步求解较大子问题
for i in 3..=n {
dp[i][1] = dp[i - 1][2];
dp[i][2] = dp[i - 2][1] + dp[i - 2][2];
}
dp[n][1] + dp[n][2]
}
/* Driver Code */
pub fn main() {
let n: usize = 9;
let res = climbing_stairs_constraint_dp(n);
println!("{n} 阶楼梯共有 {res} 种方案");
}

View File

@@ -1,27 +1,29 @@
/*
* File: climbing_stairs_dfs.rs
* Created Time: 2023-07-09
* Author: codingonion (coderonion@gmail.com)
*/
/* 搜索 */
fn dfs(i: usize) -> i32 {
// 已知 dp[1] 和 dp[2] ,返回之
if i == 1 || i == 2 { return i as i32; }
// dp[i] = dp[i-1] + dp[i-2]
let count = dfs(i - 1) + dfs(i - 2);
count
}
/* 爬楼梯:搜索 */
fn climbing_stairs_dfs(n: usize) -> i32 {
dfs(n)
}
/* Driver Code */
pub fn main() {
let n: usize = 9;
let res = climbing_stairs_dfs(n);
println!("{n} 阶楼梯共有 {res} 种方案");
}
/*
* File: climbing_stairs_dfs.rs
* Created Time: 2023-07-09
* Author: codingonion (coderonion@gmail.com)
*/
/* 搜索 */
fn dfs(i: usize) -> i32 {
// 已知 dp[1] 和 dp[2] ,返回之
if i == 1 || i == 2 {
return i as i32;
}
// dp[i] = dp[i-1] + dp[i-2]
let count = dfs(i - 1) + dfs(i - 2);
count
}
/* 爬楼梯:搜索 */
fn climbing_stairs_dfs(n: usize) -> i32 {
dfs(n)
}
/* Driver Code */
pub fn main() {
let n: usize = 9;
let res = climbing_stairs_dfs(n);
println!("{n} 阶楼梯共有 {res} 种方案");
}

View File

@@ -1,33 +1,37 @@
/*
* File: climbing_stairs_dfs_mem.rs
* Created Time: 2023-07-09
* Author: codingonion (coderonion@gmail.com)
*/
/* 记忆化搜索 */
fn dfs(i: usize, mem: &mut [i32]) -> i32 {
// 已知 dp[1] 和 dp[2] ,返回之
if i == 1 || i == 2 { return i as i32; }
// 若存在记录 dp[i] ,则直接返回之
if mem[i] != -1 { return mem[i]; }
// dp[i] = dp[i-1] + dp[i-2]
let count = dfs(i - 1, mem) + dfs(i - 2, mem);
// 记录 dp[i]
mem[i] = count;
count
}
/* 爬楼梯:记忆化搜索 */
fn climbing_stairs_dfs_mem(n: usize) -> i32 {
// mem[i] 记录爬到第 i 阶的方案总数,-1 代表无记录
let mut mem = vec![-1; n + 1];
dfs(n, &mut mem)
}
/* Driver Code */
pub fn main() {
let n: usize = 9;
let res = climbing_stairs_dfs_mem(n);
println!("{n} 阶楼梯共有 {res} 种方案");
}
/*
* File: climbing_stairs_dfs_mem.rs
* Created Time: 2023-07-09
* Author: codingonion (coderonion@gmail.com)
*/
/* 记忆化搜索 */
fn dfs(i: usize, mem: &mut [i32]) -> i32 {
// 已知 dp[1] 和 dp[2] ,返回之
if i == 1 || i == 2 {
return i as i32;
}
// 若存在记录 dp[i] ,则直接返回之
if mem[i] != -1 {
return mem[i];
}
// dp[i] = dp[i-1] + dp[i-2]
let count = dfs(i - 1, mem) + dfs(i - 2, mem);
// 记录 dp[i]
mem[i] = count;
count
}
/* 爬楼梯:记忆化搜索 */
fn climbing_stairs_dfs_mem(n: usize) -> i32 {
// mem[i] 记录爬到第 i 阶的方案总数,-1 代表无记录
let mut mem = vec![-1; n + 1];
dfs(n, &mut mem)
}
/* Driver Code */
pub fn main() {
let n: usize = 9;
let res = climbing_stairs_dfs_mem(n);
println!("{n} 阶楼梯共有 {res} 种方案");
}

View File

@@ -1,44 +1,48 @@
/*
* File: climbing_stairs_dp.rs
* Created Time: 2023-07-09
* Author: codingonion (coderonion@gmail.com)
*/
/* 爬楼梯:动态规划 */
fn climbing_stairs_dp(n: usize) -> i32 {
// 已知 dp[1] 和 dp[2] ,返回之
if n == 1 || n == 2 { return n as i32; }
// 初始化 dp 表,用于存储子问题的解
let mut dp = vec![-1; n + 1];
// 初始状态:预设最小子问题的解
dp[1] = 1;
dp[2] = 2;
// 状态转移:从较小子问题逐步求解较大子问题
for i in 3..=n {
dp[i] = dp[i - 1] + dp[i - 2];
}
dp[n]
}
/* 爬楼梯:空间优化后的动态规划 */
fn climbing_stairs_dp_comp(n: usize) -> i32 {
if n == 1 || n == 2 { return n as i32; }
let (mut a, mut b) = (1, 2);
for _ in 3..=n {
let tmp = b;
b = a + b;
a = tmp;
}
b
}
/* Driver Code */
pub fn main() {
let n: usize = 9;
let res = climbing_stairs_dp(n);
println!("{n} 阶楼梯共有 {res} 种方案");
let res = climbing_stairs_dp_comp(n);
println!("{n} 阶楼梯共有 {res} 种方案");
}
/*
* File: climbing_stairs_dp.rs
* Created Time: 2023-07-09
* Author: codingonion (coderonion@gmail.com)
*/
/* 爬楼梯:动态规划 */
fn climbing_stairs_dp(n: usize) -> i32 {
// 已知 dp[1] 和 dp[2] ,返回之
if n == 1 || n == 2 {
return n as i32;
}
// 初始化 dp 表,用于存储子问题的解
let mut dp = vec![-1; n + 1];
// 初始状态:预设最小子问题的解
dp[1] = 1;
dp[2] = 2;
// 状态转移:从较小子问题逐步求解较大子问题
for i in 3..=n {
dp[i] = dp[i - 1] + dp[i - 2];
}
dp[n]
}
/* 爬楼梯:空间优化后的动态规划 */
fn climbing_stairs_dp_comp(n: usize) -> i32 {
if n == 1 || n == 2 {
return n as i32;
}
let (mut a, mut b) = (1, 2);
for _ in 3..=n {
let tmp = b;
b = a + b;
a = tmp;
}
b
}
/* Driver Code */
pub fn main() {
let n: usize = 9;
let res = climbing_stairs_dp(n);
println!("{n} 阶楼梯共有 {res} 种方案");
let res = climbing_stairs_dp_comp(n);
println!("{n} 阶楼梯共有 {res} 种方案");
}

View File

@@ -11,7 +11,7 @@ fn coin_change_dp(coins: &[i32], amt: usize) -> i32 {
// 初始化 dp 表
let mut dp = vec![vec![0; amt + 1]; n + 1];
// 状态转移:首行首列
for a in 1..= amt {
for a in 1..=amt {
dp[0][a] = max;
}
// 状态转移:其余行和列
@@ -26,7 +26,11 @@ fn coin_change_dp(coins: &[i32], amt: usize) -> i32 {
}
}
}
if dp[n][amt] != max { return dp[n][amt] as i32; } else { -1 }
if dp[n][amt] != max {
return dp[n][amt] as i32;
} else {
-1
}
}
/* 零钱兑换:空间优化后的动态规划 */
@@ -49,12 +53,16 @@ fn coin_change_dp_comp(coins: &[i32], amt: usize) -> i32 {
}
}
}
if dp[amt] != max { return dp[amt] as i32; } else { -1 }
if dp[amt] != max {
return dp[amt] as i32;
} else {
-1
}
}
/* Driver Code */
pub fn main() {
let coins = [ 1, 2, 5 ];
let coins = [1, 2, 5];
let amt: usize = 4;
// 动态规划

View File

@@ -10,7 +10,7 @@ fn coin_change_ii_dp(coins: &[i32], amt: usize) -> i32 {
// 初始化 dp 表
let mut dp = vec![vec![0; amt + 1]; n + 1];
// 初始化首列
for i in 0..= n {
for i in 0..=n {
dp[i][0] = 1;
}
// 状态转移
@@ -51,7 +51,7 @@ fn coin_change_ii_dp_comp(coins: &[i32], amt: usize) -> i32 {
/* Driver Code */
pub fn main() {
let coins = [ 1, 2, 5 ];
let coins = [1, 2, 5];
let amt: usize = 5;
// 动态规划

View File

@@ -7,11 +7,17 @@
/* 编辑距离:暴力搜索 */
fn edit_distance_dfs(s: &str, t: &str, i: usize, j: usize) -> i32 {
// 若 s 和 t 都为空,则返回 0
if i == 0 && j == 0 { return 0; }
if i == 0 && j == 0 {
return 0;
}
// 若 s 为空,则返回 t 长度
if i == 0 { return j as i32; }
if i == 0 {
return j as i32;
}
// 若 t 为空,则返回 s 长度
if j == 0 {return i as i32; }
if j == 0 {
return i as i32;
}
// 若两字符相等,则直接跳过此两字符
if s.chars().nth(i - 1) == t.chars().nth(j - 1) {
return edit_distance_dfs(s, t, i - 1, j - 1);
@@ -27,13 +33,21 @@ fn edit_distance_dfs(s: &str, t: &str, i: usize, j: usize) -> i32 {
/* 编辑距离:记忆化搜索 */
fn edit_distance_dfs_mem(s: &str, t: &str, mem: &mut Vec<Vec<i32>>, i: usize, j: usize) -> i32 {
// 若 s 和 t 都为空,则返回 0
if i == 0 && j == 0 { return 0; }
if i == 0 && j == 0 {
return 0;
}
// 若 s 为空,则返回 t 长度
if i == 0 { return j as i32; }
if i == 0 {
return j as i32;
}
// 若 t 为空,则返回 s 长度
if j == 0 {return i as i32; }
if j == 0 {
return i as i32;
}
// 若已有记录,则直接返回之
if mem[i][j] != -1 { return mem[i][j]; }
if mem[i][j] != -1 {
return mem[i][j];
}
// 若两字符相等,则直接跳过此两字符
if s.chars().nth(i - 1) == t.chars().nth(j - 1) {
return edit_distance_dfs_mem(s, t, mem, i - 1, j - 1);
@@ -52,7 +66,7 @@ fn edit_distance_dp(s: &str, t: &str) -> i32 {
let (n, m) = (s.len(), t.len());
let mut dp = vec![vec![0; m + 1]; n + 1];
// 状态转移:首行首列
for i in 1..= n {
for i in 1..=n {
dp[i][0] = i as i32;
}
for j in 1..m {
@@ -66,7 +80,8 @@ fn edit_distance_dp(s: &str, t: &str) -> i32 {
dp[i][j] = dp[i - 1][j - 1];
} else {
// 最少编辑步数 = 插入、删除、替换这三种操作的最少编辑步数 + 1
dp[i][j] = std::cmp::min(std::cmp::min(dp[i][j - 1], dp[i - 1][j]), dp[i - 1][j - 1]) + 1;
dp[i][j] =
std::cmp::min(std::cmp::min(dp[i][j - 1], dp[i - 1][j]), dp[i - 1][j - 1]) + 1;
}
}
}

View File

@@ -56,7 +56,10 @@ fn knapsack_dp(wgt: &[i32], val: &[i32], cap: usize) -> i32 {
dp[i][c] = dp[i - 1][c];
} else {
// 不选和选物品 i 这两种方案的较大值
dp[i][c] = std::cmp::max(dp[i - 1][c], dp[i - 1][c - wgt[i - 1] as usize] + val[i - 1]);
dp[i][c] = std::cmp::max(
dp[i - 1][c],
dp[i - 1][c - wgt[i - 1] as usize] + val[i - 1],
);
}
}
}
@@ -83,8 +86,8 @@ fn knapsack_dp_comp(wgt: &[i32], val: &[i32], cap: usize) -> i32 {
/* Driver Code */
pub fn main() {
let wgt = [ 10, 20, 30, 40, 50 ];
let val = [ 50, 120, 150, 210, 240 ];
let wgt = [10, 20, 30, 40, 50];
let val = [50, 120, 150, 210, 240];
let cap: usize = 50;
let n = wgt.len();

View File

@@ -1,48 +1,52 @@
/*
* File: min_cost_climbing_stairs_dp.rs
* Created Time: 2023-07-09
* Author: codingonion (coderonion@gmail.com)
*/
use std::cmp;
/* 爬楼梯最小代价:动态规划 */
fn min_cost_climbing_stairs_dp(cost: &[i32]) -> i32 {
let n = cost.len() - 1;
if n == 1 || n == 2 { return cost[n]; }
// 初始化 dp 表,用于存储子问题的解
let mut dp = vec![-1; n + 1];
// 初始状态:预设最小子问题的解
dp[1] = cost[1];
dp[2] = cost[2];
// 状态转移:从较小子问题逐步求解较大子问题
for i in 3..=n {
dp[i] = cmp::min(dp[i - 1], dp[i - 2]) + cost[i];
}
dp[n]
}
/* 爬楼梯最小代价:空间优化后的动态规划 */
fn min_cost_climbing_stairs_dp_comp(cost: &[i32]) -> i32 {
let n = cost.len() - 1;
if n == 1 || n == 2 { return cost[n] };
let (mut a, mut b) = (cost[1], cost[2]);
for i in 3..=n {
let tmp = b;
b = cmp::min(a, tmp) + cost[i];
a = tmp;
}
b
}
/* Driver Code */
pub fn main() {
let cost = [ 0, 1, 10, 1, 1, 1, 10, 1, 1, 10, 1 ];
println!("输入楼梯的代价列表为 {:?}", &cost);
let res = min_cost_climbing_stairs_dp(&cost);
println!("爬完楼梯的最低代价为 {res}");
let res = min_cost_climbing_stairs_dp_comp(&cost);
println!("爬完楼梯的最低代价为 {res}");
}
/*
* File: min_cost_climbing_stairs_dp.rs
* Created Time: 2023-07-09
* Author: codingonion (coderonion@gmail.com)
*/
use std::cmp;
/* 爬楼梯最小代价:动态规划 */
fn min_cost_climbing_stairs_dp(cost: &[i32]) -> i32 {
let n = cost.len() - 1;
if n == 1 || n == 2 {
return cost[n];
}
// 初始化 dp 表,用于存储子问题的解
let mut dp = vec![-1; n + 1];
// 初始状态:预设最小子问题的解
dp[1] = cost[1];
dp[2] = cost[2];
// 状态转移:从较小子问题逐步求解较大子问题
for i in 3..=n {
dp[i] = cmp::min(dp[i - 1], dp[i - 2]) + cost[i];
}
dp[n]
}
/* 爬楼梯最小代价:空间优化后的动态规划 */
fn min_cost_climbing_stairs_dp_comp(cost: &[i32]) -> i32 {
let n = cost.len() - 1;
if n == 1 || n == 2 {
return cost[n];
};
let (mut a, mut b) = (cost[1], cost[2]);
for i in 3..=n {
let tmp = b;
b = cmp::min(a, tmp) + cost[i];
a = tmp;
}
b
}
/* Driver Code */
pub fn main() {
let cost = [0, 1, 10, 1, 1, 1, 10, 1, 1, 10, 1];
println!("输入楼梯的代价列表为 {:?}", &cost);
let res = min_cost_climbing_stairs_dp(&cost);
println!("爬完楼梯的最低代价为 {res}");
let res = min_cost_climbing_stairs_dp_comp(&cost);
println!("爬完楼梯的最低代价为 {res}");
}

View File

@@ -91,10 +91,11 @@ fn min_path_sum_dp_comp(grid: &Vec<Vec<i32>>) -> i32 {
/* Driver Code */
pub fn main() {
let grid = vec![
vec![ 1, 3, 1, 5 ],
vec![ 2, 2, 4, 2 ],
vec![ 5, 3, 2, 1 ],
vec![ 4, 3, 5, 2 ]];
vec![1, 3, 1, 5],
vec![2, 2, 4, 2],
vec![5, 3, 2, 1],
vec![4, 3, 5, 2],
];
let (n, m) = (grid.len(), grid[0].len());
// 暴力搜索

View File

@@ -46,8 +46,8 @@ fn unbounded_knapsack_dp_comp(wgt: &[i32], val: &[i32], cap: usize) -> i32 {
/* Driver Code */
pub fn main() {
let wgt = [ 1, 2, 3 ];
let val = [ 5, 11, 15 ];
let wgt = [1, 2, 3];
let val = [5, 11, 15];
let cap: usize = 4;
// 动态规划