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
This commit is contained in:
Yudong Jin
2026-10-31 03:35:51 +08:00
committed by GitHub
parent ef46e2ed95
commit 14c314c08c
1502 changed files with 29459 additions and 23517 deletions

View File

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