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43 lines
1.3 KiB
43 lines
1.3 KiB
// File: subset_sum_i.go
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// Created Time: 2023-06-24
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// Author: Reanon (793584285@qq.com)
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package chapter_backtracking
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import "sort"
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/* 回溯演算法：子集和 I */
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func backtrackSubsetSumI(start, target int, state, choices *[]int, res *[][]int) {
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// 子集和等於 target 時，記錄解
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if target == 0 {
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newState := append([]int{}, *state...)
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*res = append(*res, newState)
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return
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}
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// 走訪所有選擇
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// 剪枝二：從 start 開始走訪，避免生成重複子集
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for i := start; i < len(*choices); i++ {
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// 剪枝一：若子集和超過 target ，則直接結束迴圈
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// 這是因為陣列已排序，後邊元素更大，子集和一定超過 target
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if target-(*choices)[i] < 0 {
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break
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}
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// 嘗試：做出選擇，更新 target, start
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*state = append(*state, (*choices)[i])
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// 進行下一輪選擇
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backtrackSubsetSumI(i, target-(*choices)[i], state, choices, res)
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// 回退：撤銷選擇，恢復到之前的狀態
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*state = (*state)[:len(*state)-1]
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}
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}
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/* 求解子集和 I */
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func subsetSumI(nums []int, target int) [][]int {
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state := make([]int, 0) // 狀態（子集）
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sort.Ints(nums) // 對 nums 進行排序
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start := 0 // 走訪起始點
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res := make([][]int, 0) // 結果串列（子集串列）
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backtrackSubsetSumI(start, target, &state, &nums, &res)
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return res
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}
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