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/**
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* File: hanota.swift
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* Created Time: 2023-09-02
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* Author: nuomi1 (nuomi1@qq.com)
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*/
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/* 移動一個圓盤 */
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func move(src: inout [Int], tar: inout [Int]) {
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// 從 src 頂部拿出一個圓盤
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let pan = src.popLast()!
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// 將圓盤放入 tar 頂部
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tar.append(pan)
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}
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/* 求解河內塔問題 f(i) */
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func dfs(i: Int, src: inout [Int], buf: inout [Int], tar: inout [Int]) {
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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: &src, tar: &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: i - 1, src: &src, buf: &tar, 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: &src, tar: &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: i - 1, src: &buf, buf: &src, tar: &tar)
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}
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/* 求解河內塔問題 */
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func solveHanota(A: inout [Int], B: inout [Int], C: inout [Int]) {
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let n = A.count
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// 串列尾部是柱子頂部
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// 將 src 頂部 n 個圓盤藉助 B 移到 C
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dfs(i: n, src: &A, buf: &B, tar: &C)
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}
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@main
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enum Hanota {
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/* Driver Code */
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static func main() {
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// 串列尾部是柱子頂部
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var A = [5, 4, 3, 2, 1]
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var B: [Int] = []
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var C: [Int] = []
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print("初始狀態下:")
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print("A = \(A)")
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print("B = \(B)")
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print("C = \(C)")
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solveHanota(A: &A, B: &B, C: &C)
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print("圓盤移動完成後:")
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print("A = \(A)")
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print("B = \(B)")
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print("C = \(C)")
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}
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}
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