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43 lines
1.1 KiB
43 lines
1.1 KiB
/**
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* File: permutations_i.js
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* Created Time: 2023-05-13
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* Author: Justin (xiefahit@gmail.com)
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*/
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/* 回溯演算法：全排列 I */
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function backtrack(state, choices, selected, res) {
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// 當狀態長度等於元素數量時，記錄解
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if (state.length === choices.length) {
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res.push([...state]);
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return;
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}
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// 走訪所有選擇
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choices.forEach((choice, i) => {
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// 剪枝：不允許重複選擇元素
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if (!selected[i]) {
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// 嘗試：做出選擇，更新狀態
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selected[i] = true;
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state.push(choice);
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// 進行下一輪選擇
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backtrack(state, choices, selected, res);
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// 回退：撤銷選擇，恢復到之前的狀態
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selected[i] = false;
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state.pop();
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}
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});
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}
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/* 全排列 I */
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function permutationsI(nums) {
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const res = [];
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backtrack([], nums, Array(nums.length).fill(false), res);
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return res;
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}
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// Driver Code
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const nums = [1, 2, 3];
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const res = permutationsI(nums);
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console.log(`輸入陣列 nums = ${JSON.stringify(nums)}`);
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console.log(`所有排列 res = ${JSON.stringify(res)}`);
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