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56 lines
1.5 KiB
56 lines
1.5 KiB
/*
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* File: hanota.rs
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* Created Time: 2023-07-15
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* Author: sjinzh (sjinzh@gmail.com)
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*/
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#![allow(non_snake_case)]
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/* 移动一个圆盘 */
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fn move_pan(src: &mut Vec<i32>, tar: &mut Vec<i32>) {
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// 从 src 顶部拿出一个圆盘
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let pan = src.remove(src.len() - 1);
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// 将圆盘放入 tar 顶部
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tar.push(pan);
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}
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/* 求解汉诺塔：问题 f(i) */
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fn dfs(i: i32, src: &mut Vec<i32>, buf: &mut Vec<i32>, tar: &mut Vec<i32>) {
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// 若 src 只剩下一个圆盘，则直接将其移到 tar
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if i == 1 {
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move_pan(src, tar);
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return;
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}
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// 子问题 f(i-1) ：将 src 顶部 i-1 个圆盘借助 tar 移到 buf
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dfs(i - 1, src, tar, buf);
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// 子问题 f(1) ：将 src 剩余一个圆盘移到 tar
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move_pan(src, tar);
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// 子问题 f(i-1) ：将 buf 顶部 i-1 个圆盘借助 src 移到 tar
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dfs(i - 1, buf, src, tar);
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}
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/* 求解汉诺塔 */
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fn solve_hanota(A: &mut Vec<i32>, B: &mut Vec<i32>, C: &mut Vec<i32>) {
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let n = A.len() as i32;
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// 将 A 顶部 n 个圆盘借助 B 移到 C
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dfs(n, A, B, C);
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}
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/* Driver Code */
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pub fn main() {
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let mut A = vec![5, 4, 3, 2, 1];
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let mut B = Vec::new();
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let mut C = Vec::new();
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println!("初始状态下：");
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println!("A = {:?}", A);
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println!("B = {:?}", B);
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println!("C = {:?}", C);
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solve_hanota(&mut A, &mut B, &mut C);
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println!("圆盘移动完成后：");
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println!("A = {:?}", A);
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println!("B = {:?}", B);
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println!("C = {:?}", C);
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}
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