標籤:
Given a set of candidate numbers (C) and a target number (T), find all unique combinations in C where the candidate numbers sums to T.
The same repeated number may be chosen from C unlimited number of times.
Note:
- All numbers (including target) will be positive integers.
- Elements in a combination (a1, a2, … , ak) must be in non-descending order. (ie, a1 ≤ a2 ≤ … ≤ ak).
- The solution set must not contain duplicate combinations.
For example, given candidate set 2,3,6,7 and target 7,
A solution set is:
[7]
[2, 2, 3]
解題思路:
首先說明下題目Bug,實際測試中C中元素是不會重複的,因此降低了不少難度,最簡單的實現方法,DFS演算法,JAVA實現如下:
static public List<List<Integer>> combinationSum(int[] candidates,int target) {List<List<Integer>> list = new ArrayList<List<Integer>>();Arrays.sort(candidates);dfs(list, candidates, 0, target, 0);return list;}static List<Integer> list2 = new ArrayList<Integer>();static void dfs(List<List<Integer>> list, int[] array, int result,int target, int depth) {if (result == target) {list.add(new ArrayList<Integer>(list2));return;}else if (depth >= array.length || result > target)return;for (int i = 0; i <= target / array[depth]; i++) {for (int j = 0; j < i; j++)list2.add(array[depth]);dfs(list, array, result + array[depth] * i, target, depth+1);for (int j = 0; j < i; j++)list2.remove(list2.size() - 1);}}
Java for LeetCode 039 Combination Sum