hello-algo/zh-hant/codes/kotlin/chapter_dynamic_programming/climbing_stairs_backtrack.kt
Yudong Jin b2f0d4603d
Many bug fixes and improvements (#1270)
* Add Ruby and Kotlin icons
Add the avatar of @curtishd

* Update README

* Synchronize zh-hant and zh versions.

* Translate the pythontutor blocks to traditional Chinese

* Fix en/mkdocs.yml

* Update the landing page of the en version.

* Fix the Dockerfile

* Refine the en landingpage

* Fix en landing page

* Reset the README.md
2024-04-11 20:18:19 +08:00

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1.1 KiB
Kotlin

/**
* File: climbing_stairs_backtrack.kt
* Created Time: 2024-01-25
* Author: curtishd (1023632660@qq.com)
*/
package chapter_dynamic_programming
/* 回溯 */
fun backtrack(
choices: MutableList<Int>,
state: Int,
n: Int,
res: MutableList<Int>
) {
// 當爬到第 n 階時,方案數量加 1
if (state == n)
res[0] = res[0] + 1
// 走訪所有選擇
for (choice in choices) {
// 剪枝:不允許越過第 n 階
if (state + choice > n) continue
// 嘗試:做出選擇,更新狀態
backtrack(choices, state + choice, n, res)
// 回退
}
}
/* 爬樓梯:回溯 */
fun climbingStairsBacktrack(n: Int): Int {
val choices = mutableListOf(1, 2) // 可選擇向上爬 1 階或 2 階
val state = 0 // 從第 0 階開始爬
val res = mutableListOf<Int>()
res.add(0) // 使用 res[0] 記錄方案數量
backtrack(choices, state, n, res)
return res[0]
}
/* Driver Code */
fun main() {
val n = 9
val res = climbingStairsBacktrack(n)
println("$n 階樓梯共有 $res 種方案")
}