mirror of
https://github.com/krahets/hello-algo.git
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e720aa2d24
* Sync recent changes to the revised Word. * Revised the preface chapter * Revised the introduction chapter * Revised the computation complexity chapter * Revised the chapter data structure * Revised the chapter array and linked list * Revised the chapter stack and queue * Revised the chapter hashing * Revised the chapter tree * Revised the chapter heap * Revised the chapter graph * Revised the chapter searching * Reivised the sorting chapter * Revised the divide and conquer chapter * Revised the chapter backtacking * Revised the DP chapter * Revised the greedy chapter * Revised the appendix chapter * Revised the preface chapter doubly * Revised the figures
59 lines
1.8 KiB
C#
59 lines
1.8 KiB
C#
/**
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* File: hanota.cs
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* Created Time: 2023-07-18
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* Author: hpstory (hpstory1024@163.com)
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*/
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namespace hello_algo.chapter_divide_and_conquer;
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public class hanota {
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/* 移动一个圆盘 */
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void Move(List<int> src, List<int> tar) {
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// 从 src 顶部拿出一个圆盘
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int pan = src[^1];
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src.RemoveAt(src.Count - 1);
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// 将圆盘放入 tar 顶部
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tar.Add(pan);
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}
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/* 求解汉诺塔问题 f(i) */
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void DFS(int i, List<int> src, List<int> buf, List<int> tar) {
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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(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(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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/* 求解汉诺塔问题 */
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void SolveHanota(List<int> A, List<int> B, List<int> C) {
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int n = A.Count;
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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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[Test]
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public void Test() {
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// 列表尾部是柱子顶部
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List<int> A = [5, 4, 3, 2, 1];
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List<int> B = [];
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List<int> C = [];
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Console.WriteLine("初始状态下：");
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Console.WriteLine("A = " + string.Join(", ", A));
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Console.WriteLine("B = " + string.Join(", ", B));
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Console.WriteLine("C = " + string.Join(", ", C));
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SolveHanota(A, B, C);
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Console.WriteLine("圆盘移动完成后：");
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Console.WriteLine("A = " + string.Join(", ", A));
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Console.WriteLine("B = " + string.Join(", ", B));
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Console.WriteLine("C = " + string.Join(", ", C));
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}
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}
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