491. 递增子序列
package jjn.carl.backtrack; import java.util.*; /** * @author Jjn * @since 2023/7/29 13:26 */ public class LeetCode491 { public List<List<Integer>> findSubsequences(int[] nums) { List<List<Integer>> result = new ArrayList<>(); backtrack(nums, result, 0, new ArrayList<>()); return result; } private void backtrack(int[] nums, List<List<Integer>> result, int startIndex, List<Integer> path) { if (path.size() >= 2) { result.add(new ArrayList<>(path)); } Set<Integer> set = new HashSet<>(); for (int i = startIndex; i < nums.length; i++) { if (!path.isEmpty() && nums[i] < path.get(path.size() - 1) || set.contains(nums[i])) { continue; } path.add(nums[i]); set.add(nums[i]); backtrack(nums, result, i + 1, path); path.remove(path.size() - 1); } } public static void main(String[] args) { Scanner scanner = new Scanner(System.in); int totalNumber = scanner.nextInt(); int[] nums = new int[totalNumber]; for (int i = 0; i < totalNumber; i++) { nums[i] = scanner.nextInt(); } List<List<Integer>> subsequences = new LeetCode491().findSubsequences(nums); System.out.println(String.join(",", subsequences.toString())); } }
46. 全排列
与组合问题对比:
- 排列始终从 0 开始执行 for 循环,而不是从 startIndex 开始;
- 需要使用 used 数组,来标识某元素已经被使用。
package jjn.carl.backtrack; import ljl.alg.wangzheng_camp.round1.tree._offer34_path_sum; import java.util.ArrayList; import java.util.List; import java.util.Scanner; /** * @author Jjn * @since 2023/7/29 14:02 */ public class LeetCode46 { public List<List<Integer>> permute(int[] nums) { List<List<Integer>> result = new ArrayList<>(); boolean[] used = new boolean[nums.length]; backtrack(nums, 0, new ArrayList<>(), result, used); return result; } private void backtrack(int[] nums, int startIndex, List<Integer> path, List<List<Integer>> result, boolean[] used) { if (startIndex == nums.length) { result.add(new ArrayList<>(path)); return; } for (int i = 0; i < nums.length; i++) { if (used[i]) { continue; } path.add(nums[i]); used[i] = true; backtrack(nums, startIndex + 1, path, result, used); path.remove(path.size() - 1); used[i] = false; } } public static void main(String[] args) { Scanner scanner = new Scanner(System.in); int total = scanner.nextInt(); int[] nums = new int[total]; for (int i = 0; i < total; i++) { nums[i] = scanner.nextInt(); } List<List<Integer>> list = new LeetCode46().permute(nums); System.out.println(String.join(",", list.toString())); } }
47. 全排列 II
package jjn.carl.backtrack; import java.util.ArrayList; import java.util.Arrays; import java.util.List; import java.util.Scanner; /** * @author Jjn * @since 2023/7/29 14:11 */ public class LeetCode47 { public List<List<Integer>> permuteUnique(int[] nums) { List<List<Integer>> result = new ArrayList<>(); Arrays.sort(nums); boolean[] used = new boolean[nums.length]; backtrack(nums, new ArrayList<>(), result, used); return result; } private void backtrack(int[] nums, List<Integer> path, List<List<Integer>> result, boolean[] used) { if (path.size() == nums.length) { result.add(new ArrayList<>(path)); return; } for (int i = 0; i < nums.length; i++) { if (i > 0 && nums[i] == nums[i - 1] && !used[i - 1]) { continue; } if (!used[i]) { path.add(nums[i]); used[i] = true; backtrack(nums, path, result, used); used[i] = false; path.remove(path.size() - 1); } } } public static void main(String[] args) { Scanner scanner = new Scanner(System.in); int total = scanner.nextInt(); int[] nums = new int[total]; for (int i = 0; i < total; i++) { nums[i] = scanner.nextInt(); } List<List<Integer>> lists = new LeetCode47().permuteUnique(nums); System.out.println(String.join(",", lists.toString())); } }