hello-algo/zh-hant/codes/kotlin/chapter_backtracking/subset_sum_i.kt
Yudong Jin b2f0d4603d
Many bug fixes and improvements (#1270)
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* Update README

* Synchronize zh-hant and zh versions.

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* Fix en/mkdocs.yml

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2024-04-11 20:18:19 +08:00

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1.7 KiB
Kotlin

/**
* File: subset_sum_i.kt
* Created Time: 2024-01-25
* Author: curtishd (1023632660@qq.com)
*/
package chapter_backtracking.subset_sum_i
/* 回溯演算法:子集和 I */
fun backtrack(
state: MutableList<Int>,
target: Int,
choices: IntArray,
start: Int,
res: MutableList<MutableList<Int>?>
) {
// 子集和等於 target 時,記錄解
if (target == 0) {
res.add(state.toMutableList())
return
}
// 走訪所有選擇
// 剪枝二:從 start 開始走訪,避免生成重複子集
for (i in start..<choices.size) {
// 剪枝一:若子集和超過 target ,則直接結束迴圈
// 這是因為陣列已排序,後邊元素更大,子集和一定超過 target
if (target - choices[i] < 0) {
break
}
// 嘗試:做出選擇,更新 target, start
state.add(choices[i])
// 進行下一輪選擇
backtrack(state, target - choices[i], choices, i, res)
// 回退:撤銷選擇,恢復到之前的狀態
state.removeAt(state.size - 1)
}
}
/* 求解子集和 I */
fun subsetSumI(nums: IntArray, target: Int): MutableList<MutableList<Int>?> {
val state = mutableListOf<Int>() // 狀態(子集)
nums.sort() // 對 nums 進行排序
val start = 0 // 走訪起始點
val res = mutableListOf<MutableList<Int>?>() // 結果串列(子集串列)
backtrack(state, target, nums, start, res)
return res
}
/* Driver Code */
fun main() {
val nums = intArrayOf(3, 4, 5)
val target = 9
val res = subsetSumI(nums, target)
println("輸入陣列 nums = ${nums.contentToString()}, target = $target")
println("所有和等於 $target 的子集 res = $res")
}