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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: codingonion (coderonion@gmail.com)
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*/
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#![allow(non_snake_case)]
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/* 移動一個圓盤 */
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fn move_pan(src: &mut Vec<i32>, tar: &mut Vec<i32>) {
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// 從 src 頂部拿出一個圓盤
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let pan = src.pop().unwrap();
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// 將圓盤放入 tar 頂部
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tar.push(pan);
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}
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/* 求解河內塔問題 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 只剩下一個圓盤，則直接將其移到 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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// 子問題 f(i-1) ：將 src 頂部 i-1 個圓盤藉助 tar 移到 buf
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dfs(i - 1, src, tar, buf);
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// 子問題 f(1) ：將 src 剩餘一個圓盤移到 tar
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move_pan(src, tar);
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// 子問題 f(i-1) ：將 buf 頂部 i-1 個圓盤藉助 src 移到 tar
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dfs(i - 1, buf, src, tar);
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}
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/* 求解河內塔問題 */
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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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// 將 A 頂部 n 個圓盤藉助 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!("初始狀態下：");
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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!("圓盤移動完成後：");
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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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