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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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@@ -6,26 +6,26 @@
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#include "../utils/common.hpp"
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/* Backtracking algorithm: Subset sum I */
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/* Backtracking: subset sum I */
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void backtrack(vector<int> &state, int target, vector<int> &choices, int start, vector<vector<int>> &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 reaches 0
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if (target == 0) {
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res.push_back(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.size(); 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 this choice 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.push_back(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.pop_back();
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}
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}
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@@ -34,13 +34,13 @@ void backtrack(vector<int> &state, int target, vector<int> &choices, int start,
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vector<vector<int>> subsetSumI(vector<int> &nums, int target) {
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vector<int> state; // State (subset)
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sort(nums.begin(), nums.end()); // Sort nums
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int start = 0; // Start point for traversal
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vector<vector<int>> res; // Result list (subset list)
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int start = 0; // Starting index for iteration
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vector<vector<int>> res; // 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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/* Driver Code */
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/* Driver code */
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int main() {
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vector<int> nums = {3, 4, 5};
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int target = 9;
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@@ -50,7 +50,7 @@ int main() {
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cout << "Input array nums = ";
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printVector(nums);
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cout << "target = " << target << endl;
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cout << "All subsets with sum equal to " << target << " are res = " << endl;
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cout << "All subsets with sum " << target << " , res = " << endl;
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printVectorMatrix(res);
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return 0;
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