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Retranslate the complete English edition from Simplified Chinese (#2010)
* Retranslate the complete English edition from Simplified Chinese * Polish three English explanations after reader-focused review
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@@ -9,26 +9,26 @@ package chapter_backtracking;
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import java.util.*;
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public class subset_sum_i {
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/* Backtracking algorithm: Subset sum I */
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/* Backtracking: subset sum I */
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static void backtrack(List<Integer> state, int target, int[] choices, int start, List<List<Integer>> res) {
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// When the subset sum equals target, record the solution
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// Record a solution when the remaining target is zero, so the subset sums to the original target
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if (target == 0) {
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res.add(new ArrayList<>(state));
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return;
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}
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// Traverse all choices
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// Pruning 2: start traversing from start to avoid generating duplicate subsets
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// Iterate over all choices
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// Pruning 2: iterate from start to avoid generating duplicate subsets
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for (int i = start; i < choices.length; i++) {
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// Pruning 1: if the subset sum exceeds target, end the loop directly
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// This is because the array is sorted, and later elements are larger, so the subset sum will definitely exceed target
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// Pruning 1: exit the loop if the next element exceeds the remaining target
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// The array is sorted, so later elements are at least as large and also exceed the remaining target
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if (target - choices[i] < 0) {
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break;
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}
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// Attempt: make choice, update target, start
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// Try: make a choice and update target and start
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state.add(choices[i]);
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// Proceed to the next round of selection
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// Proceed to the next choice
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backtrack(state, target - choices[i], choices, i, res);
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// Backtrack: undo choice, restore to previous state
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// Backtrack: undo the choice and restore the previous state
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state.remove(state.size() - 1);
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}
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}
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@@ -37,8 +37,8 @@ public class subset_sum_i {
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static List<List<Integer>> subsetSumI(int[] nums, int target) {
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List<Integer> state = new ArrayList<>(); // State (subset)
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Arrays.sort(nums); // Sort nums
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int start = 0; // Start point for traversal
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List<List<Integer>> res = new ArrayList<>(); // Result list (subset list)
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int start = 0; // Starting index for iteration
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List<List<Integer>> res = new ArrayList<>(); // Result list (list of subsets)
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backtrack(state, target, nums, start, res);
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return res;
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}
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@@ -50,6 +50,6 @@ public class subset_sum_i {
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List<List<Integer>> res = subsetSumI(nums, target);
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System.out.println("Input array nums = " + Arrays.toString(nums) + ", target = " + target);
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System.out.println("All subsets with sum equal to " + target + " are res = " + res);
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System.out.println("All subsets with sum " + target + " : res = " + res);
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}
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}
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