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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
41 lines
1.2 KiB
C#
41 lines
1.2 KiB
C#
/**
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* File: climbing_stairs_backtrack.cs
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* Created Time: 2023-06-30
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* Author: hpstory (hpstory1024@163.com)
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*/
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namespace hello_algo.chapter_dynamic_programming;
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public class climbing_stairs_backtrack {
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/* 回溯 */
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void Backtrack(List<int> choices, int state, int n, List<int> res) {
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// 当爬到第 n 阶时，方案数量加 1
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if (state == n)
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res[0]++;
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// 遍历所有选择
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foreach (int choice in choices) {
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// 剪枝：不允许越过第 n 阶
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if (state + choice > n)
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continue;
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// 尝试：做出选择，更新状态
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Backtrack(choices, state + choice, n, res);
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// 回退
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}
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}
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/* 爬楼梯：回溯 */
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int ClimbingStairsBacktrack(int n) {
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List<int> choices = [1, 2]; // 可选择向上爬 1 阶或 2 阶
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int state = 0; // 从第 0 阶开始爬
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List<int> res = [0]; // 使用 res[0] 记录方案数量
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Backtrack(choices, state, n, res);
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return res[0];
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}
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[Test]
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public void Test() {
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int n = 9;
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int res = ClimbingStairsBacktrack(n);
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Console.WriteLine($"爬 {n} 阶楼梯共有 {res} 种方案");
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}
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}
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