Given a collection of candidate numbers (C) and a target number (T), find all unique combinations in C where the candidate numbers sums to T.
Each number in C may only be used once in the combination.
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
A solution set is:
10,1,2,7,6,1,5
and target 8
,A solution set is:
[1, 7]
[1, 2, 5]
[2, 6]
[1, 1, 6]
public class Solution { private void combinationSumAux(int[] candidates, int target, int i, int sum, Listpath, List > res){ // because of your recursive call structure, result judgement has to come before boarder i == candicates.length if(sum == target){ res.add(new ArrayList(path)); return; } if(i == candidates.length) return; if(sum > target) return; int n = candidates[i]; int k = i+1; // Error: Note here, [1, 1], we have to ignore the repeating numbers when we decide to not use any one of them. while(k < candidates.length && candidates[k] == candidates[k-1]){ ++k; } combinationSumAux(candidates, target, k, sum, path, res); sum += n; path.add(n); combinationSumAux(candidates, target, i+1, sum, path, res); sum -= n; path.remove(path.size()-1); return; } public List
> combinationSum2(int[] candidates, int target) { int len = candidates.length; List
> ret = new ArrayList
>(); if(0 == len) return ret; Arrays.sort(candidates); List
path = new ArrayList (); combinationSumAux(candidates, target, 0, 0, path, ret); return ret; } }
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