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53 lines
1.3 KiB
53 lines
1.3 KiB
/**
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* File: hanota.js
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* Created Time: 2023-07-30
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* Author: yuan0221 (yl1452491917@gmail.com)
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*/
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/* 移动一个圆盘 */
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function move(src, tar) {
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// 从 src 顶部拿出一个圆盘
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const pan = src.pop();
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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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function dfs(i, src, buf, 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 */
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function solveHanota(A, B, C) {
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const n = A.length;
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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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// 列表尾部是柱子顶部
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const A = [5, 4, 3, 2, 1];
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const B = [];
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const C = [];
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console.log('初始状态下：');
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console.log(`A = ${JSON.stringify(A)}`);
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console.log(`B = ${JSON.stringify(B)}`);
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console.log(`C = ${JSON.stringify(C)}`);
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solveHanota(A, B, C);
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console.log('圆盘移动完成后：');
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console.log(`A = ${JSON.stringify(A)}`);
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console.log(`B = ${JSON.stringify(B)}`);
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console.log(`C = ${JSON.stringify(C)}`);
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