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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:
@@ -1,37 +1,41 @@
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/*
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* File: climbing_stairs_backtrack.rs
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* Created Time: 2023-07-09
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* Author: codingonion (coderonion@gmail.com)
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*/
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/* 回溯 */
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fn backtrack(choices: &[i32], state: i32, n: i32, res: &mut [i32]) {
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// 当爬到第 n 阶时,方案数量加 1
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if state == n { res[0] = res[0] + 1; }
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// 遍历所有选择
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for &choice in choices {
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// 剪枝:不允许越过第 n 阶
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if state + choice > n { continue; }
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// 尝试:做出选择,更新状态
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backtrack(choices, state + choice, n, res);
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// 回退
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}
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}
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/* 爬楼梯:回溯 */
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fn climbing_stairs_backtrack(n: usize) -> i32 {
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let choices = vec![ 1, 2 ]; // 可选择向上爬 1 阶或 2 阶
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let state = 0; // 从第 0 阶开始爬
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let mut res = Vec::new();
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res.push(0); // 使用 res[0] 记录方案数量
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backtrack(&choices, state, n as i32, &mut res);
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res[0]
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}
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/* Driver Code */
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pub fn main() {
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let n: usize = 9;
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let res = climbing_stairs_backtrack(n);
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println!("爬 {n} 阶楼梯共有 {res} 种方案");
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}
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/*
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* File: climbing_stairs_backtrack.rs
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* Created Time: 2023-07-09
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* Author: codingonion (coderonion@gmail.com)
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*/
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/* 回溯 */
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fn backtrack(choices: &[i32], state: i32, n: i32, res: &mut [i32]) {
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// 当爬到第 n 阶时,方案数量加 1
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if state == n {
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res[0] = res[0] + 1;
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}
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// 遍历所有选择
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for &choice in choices {
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// 剪枝:不允许越过第 n 阶
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if state + choice > n {
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continue;
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}
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// 尝试:做出选择,更新状态
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backtrack(choices, state + choice, n, res);
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// 回退
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}
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}
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/* 爬楼梯:回溯 */
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fn climbing_stairs_backtrack(n: usize) -> i32 {
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let choices = vec![1, 2]; // 可选择向上爬 1 阶或 2 阶
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let state = 0; // 从第 0 阶开始爬
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let mut res = Vec::new();
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res.push(0); // 使用 res[0] 记录方案数量
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backtrack(&choices, state, n as i32, &mut res);
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res[0]
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}
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/* Driver Code */
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pub fn main() {
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let n: usize = 9;
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let res = climbing_stairs_backtrack(n);
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println!("爬 {n} 阶楼梯共有 {res} 种方案");
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}
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@@ -1,31 +1,33 @@
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/*
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* File: climbing_stairs_constraint_dp.rs
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* Created Time: 2023-07-09
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* Author: codingonion (coderonion@gmail.com)
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*/
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/* 带约束爬楼梯:动态规划 */
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fn climbing_stairs_constraint_dp(n: usize) -> i32 {
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if n == 1 || n == 2 { return 1 };
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// 初始化 dp 表,用于存储子问题的解
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let mut dp = vec![vec![-1; 3]; n + 1];
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// 初始状态:预设最小子问题的解
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dp[1][1] = 1;
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dp[1][2] = 0;
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dp[2][1] = 0;
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dp[2][2] = 1;
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// 状态转移:从较小子问题逐步求解较大子问题
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for i in 3..=n {
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dp[i][1] = dp[i - 1][2];
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dp[i][2] = dp[i - 2][1] + dp[i - 2][2];
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}
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dp[n][1] + dp[n][2]
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}
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/* Driver Code */
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pub fn main() {
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let n: usize = 9;
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let res = climbing_stairs_constraint_dp(n);
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println!("爬 {n} 阶楼梯共有 {res} 种方案");
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}
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/*
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* File: climbing_stairs_constraint_dp.rs
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* Created Time: 2023-07-09
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* Author: codingonion (coderonion@gmail.com)
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*/
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/* 带约束爬楼梯:动态规划 */
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fn climbing_stairs_constraint_dp(n: usize) -> i32 {
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if n == 1 || n == 2 {
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return 1;
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};
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// 初始化 dp 表,用于存储子问题的解
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let mut dp = vec![vec![-1; 3]; n + 1];
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// 初始状态:预设最小子问题的解
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dp[1][1] = 1;
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dp[1][2] = 0;
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dp[2][1] = 0;
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dp[2][2] = 1;
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// 状态转移:从较小子问题逐步求解较大子问题
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for i in 3..=n {
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dp[i][1] = dp[i - 1][2];
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dp[i][2] = dp[i - 2][1] + dp[i - 2][2];
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}
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dp[n][1] + dp[n][2]
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}
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/* Driver Code */
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pub fn main() {
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let n: usize = 9;
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let res = climbing_stairs_constraint_dp(n);
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println!("爬 {n} 阶楼梯共有 {res} 种方案");
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}
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@@ -1,27 +1,29 @@
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/*
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* File: climbing_stairs_dfs.rs
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* Created Time: 2023-07-09
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* Author: codingonion (coderonion@gmail.com)
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*/
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/* 搜索 */
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fn dfs(i: usize) -> i32 {
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// 已知 dp[1] 和 dp[2] ,返回之
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if i == 1 || i == 2 { return i as i32; }
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// dp[i] = dp[i-1] + dp[i-2]
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let count = dfs(i - 1) + dfs(i - 2);
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count
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}
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/* 爬楼梯:搜索 */
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fn climbing_stairs_dfs(n: usize) -> i32 {
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dfs(n)
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}
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/* Driver Code */
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pub fn main() {
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let n: usize = 9;
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let res = climbing_stairs_dfs(n);
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println!("爬 {n} 阶楼梯共有 {res} 种方案");
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}
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/*
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* File: climbing_stairs_dfs.rs
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* Created Time: 2023-07-09
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* Author: codingonion (coderonion@gmail.com)
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*/
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/* 搜索 */
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fn dfs(i: usize) -> i32 {
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// 已知 dp[1] 和 dp[2] ,返回之
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if i == 1 || i == 2 {
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return i as i32;
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}
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// dp[i] = dp[i-1] + dp[i-2]
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let count = dfs(i - 1) + dfs(i - 2);
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count
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}
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/* 爬楼梯:搜索 */
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fn climbing_stairs_dfs(n: usize) -> i32 {
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dfs(n)
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}
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/* Driver Code */
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pub fn main() {
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let n: usize = 9;
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let res = climbing_stairs_dfs(n);
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println!("爬 {n} 阶楼梯共有 {res} 种方案");
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}
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@@ -1,33 +1,37 @@
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/*
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* File: climbing_stairs_dfs_mem.rs
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* Created Time: 2023-07-09
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* Author: codingonion (coderonion@gmail.com)
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*/
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/* 记忆化搜索 */
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fn dfs(i: usize, mem: &mut [i32]) -> i32 {
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// 已知 dp[1] 和 dp[2] ,返回之
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if i == 1 || i == 2 { return i as i32; }
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// 若存在记录 dp[i] ,则直接返回之
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if mem[i] != -1 { return mem[i]; }
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// dp[i] = dp[i-1] + dp[i-2]
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let count = dfs(i - 1, mem) + dfs(i - 2, mem);
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// 记录 dp[i]
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mem[i] = count;
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count
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}
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/* 爬楼梯:记忆化搜索 */
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fn climbing_stairs_dfs_mem(n: usize) -> i32 {
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// mem[i] 记录爬到第 i 阶的方案总数,-1 代表无记录
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let mut mem = vec![-1; n + 1];
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dfs(n, &mut mem)
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}
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/* Driver Code */
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pub fn main() {
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let n: usize = 9;
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let res = climbing_stairs_dfs_mem(n);
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println!("爬 {n} 阶楼梯共有 {res} 种方案");
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}
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/*
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* File: climbing_stairs_dfs_mem.rs
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* Created Time: 2023-07-09
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* Author: codingonion (coderonion@gmail.com)
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*/
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/* 记忆化搜索 */
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fn dfs(i: usize, mem: &mut [i32]) -> i32 {
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// 已知 dp[1] 和 dp[2] ,返回之
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if i == 1 || i == 2 {
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return i as i32;
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}
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// 若存在记录 dp[i] ,则直接返回之
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if mem[i] != -1 {
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return mem[i];
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}
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// dp[i] = dp[i-1] + dp[i-2]
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let count = dfs(i - 1, mem) + dfs(i - 2, mem);
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// 记录 dp[i]
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mem[i] = count;
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count
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}
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/* 爬楼梯:记忆化搜索 */
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fn climbing_stairs_dfs_mem(n: usize) -> i32 {
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// mem[i] 记录爬到第 i 阶的方案总数,-1 代表无记录
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let mut mem = vec![-1; n + 1];
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dfs(n, &mut mem)
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}
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/* Driver Code */
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pub fn main() {
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let n: usize = 9;
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let res = climbing_stairs_dfs_mem(n);
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println!("爬 {n} 阶楼梯共有 {res} 种方案");
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}
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@@ -1,44 +1,48 @@
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/*
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* File: climbing_stairs_dp.rs
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* Created Time: 2023-07-09
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* Author: codingonion (coderonion@gmail.com)
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*/
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/* 爬楼梯:动态规划 */
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fn climbing_stairs_dp(n: usize) -> i32 {
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// 已知 dp[1] 和 dp[2] ,返回之
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if n == 1 || n == 2 { return n as i32; }
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// 初始化 dp 表,用于存储子问题的解
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let mut dp = vec![-1; n + 1];
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// 初始状态:预设最小子问题的解
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dp[1] = 1;
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dp[2] = 2;
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// 状态转移:从较小子问题逐步求解较大子问题
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for i in 3..=n {
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dp[i] = dp[i - 1] + dp[i - 2];
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}
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dp[n]
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}
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/* 爬楼梯:空间优化后的动态规划 */
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fn climbing_stairs_dp_comp(n: usize) -> i32 {
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if n == 1 || n == 2 { return n as i32; }
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let (mut a, mut b) = (1, 2);
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for _ in 3..=n {
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let tmp = b;
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b = a + b;
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a = tmp;
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}
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b
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}
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/* Driver Code */
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pub fn main() {
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let n: usize = 9;
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let res = climbing_stairs_dp(n);
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println!("爬 {n} 阶楼梯共有 {res} 种方案");
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let res = climbing_stairs_dp_comp(n);
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println!("爬 {n} 阶楼梯共有 {res} 种方案");
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}
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/*
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* File: climbing_stairs_dp.rs
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* Created Time: 2023-07-09
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* Author: codingonion (coderonion@gmail.com)
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*/
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/* 爬楼梯:动态规划 */
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fn climbing_stairs_dp(n: usize) -> i32 {
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// 已知 dp[1] 和 dp[2] ,返回之
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if n == 1 || n == 2 {
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return n as i32;
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}
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// 初始化 dp 表,用于存储子问题的解
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let mut dp = vec![-1; n + 1];
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// 初始状态:预设最小子问题的解
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dp[1] = 1;
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dp[2] = 2;
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// 状态转移:从较小子问题逐步求解较大子问题
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for i in 3..=n {
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dp[i] = dp[i - 1] + dp[i - 2];
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}
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dp[n]
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}
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/* 爬楼梯:空间优化后的动态规划 */
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fn climbing_stairs_dp_comp(n: usize) -> i32 {
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if n == 1 || n == 2 {
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return n as i32;
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}
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let (mut a, mut b) = (1, 2);
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for _ in 3..=n {
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let tmp = b;
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b = a + b;
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a = tmp;
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}
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b
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}
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/* Driver Code */
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pub fn main() {
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let n: usize = 9;
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let res = climbing_stairs_dp(n);
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println!("爬 {n} 阶楼梯共有 {res} 种方案");
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let res = climbing_stairs_dp_comp(n);
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println!("爬 {n} 阶楼梯共有 {res} 种方案");
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}
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@@ -11,7 +11,7 @@ fn coin_change_dp(coins: &[i32], amt: usize) -> i32 {
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// 初始化 dp 表
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let mut dp = vec![vec![0; amt + 1]; n + 1];
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// 状态转移:首行首列
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for a in 1..= amt {
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for a in 1..=amt {
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dp[0][a] = max;
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}
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// 状态转移:其余行和列
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@@ -26,7 +26,11 @@ fn coin_change_dp(coins: &[i32], amt: usize) -> i32 {
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}
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}
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}
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if dp[n][amt] != max { return dp[n][amt] as i32; } else { -1 }
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if dp[n][amt] != max {
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return dp[n][amt] as i32;
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} else {
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-1
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}
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}
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/* 零钱兑换:空间优化后的动态规划 */
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@@ -49,12 +53,16 @@ fn coin_change_dp_comp(coins: &[i32], amt: usize) -> i32 {
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}
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}
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}
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if dp[amt] != max { return dp[amt] as i32; } else { -1 }
|
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if dp[amt] != max {
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return dp[amt] as i32;
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} else {
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-1
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}
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}
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/* Driver Code */
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pub fn main() {
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let coins = [ 1, 2, 5 ];
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let coins = [1, 2, 5];
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let amt: usize = 4;
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|
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// 动态规划
|
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|
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@@ -10,7 +10,7 @@ fn coin_change_ii_dp(coins: &[i32], amt: usize) -> i32 {
|
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// 初始化 dp 表
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let mut dp = vec![vec![0; amt + 1]; n + 1];
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// 初始化首列
|
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for i in 0..= n {
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for i in 0..=n {
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dp[i][0] = 1;
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}
|
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// 状态转移
|
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@@ -51,7 +51,7 @@ fn coin_change_ii_dp_comp(coins: &[i32], amt: usize) -> i32 {
|
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|
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/* Driver Code */
|
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pub fn main() {
|
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let coins = [ 1, 2, 5 ];
|
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let coins = [1, 2, 5];
|
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let amt: usize = 5;
|
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|
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// 动态规划
|
||||
|
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@@ -7,11 +7,17 @@
|
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/* 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;
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
@@ -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();
|
||||
|
||||
|
||||
@@ -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}");
|
||||
}
|
||||
|
||||
@@ -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
|
||||
|
||||
@@ -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
|
||||
|
||||
Reference in New Issue
Block a user