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, List path, 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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