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53 lines
1.3 KiB
53 lines
1.3 KiB
8 months ago
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/**
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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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/* 移動一個圓盤 */
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function move(src, tar) {
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// 從 src 頂部拿出一個圓盤
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const pan = src.pop();
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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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function dfs(i, src, buf, tar) {
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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(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(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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function solveHanota(A, B, C) {
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const n = A.length;
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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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// 串列尾部是柱子頂部
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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('初始狀態下：');
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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('圓盤移動完成後：');
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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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