40. Combination Sum II

QUESTION:

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.
  • The solution set must not contain duplicate combinations.

For example, given candidate set [10, 1, 2, 7, 6, 1, 5] and target 8, A solution set is:

[
  [1, 7],
  [1, 2, 5],
  [2, 6],
  [1, 1, 6]
]

EXPLANATION:

也是backtracking的问题,首先是两点:

1.每个数字只可以用一次,那么我们只能从当前位置往后找

2.结果中不能重复,那么我们可以先排序,如果那种和前一个一样的,我们就可以认为是重复的了。

SOLUTION:

class Solution {
    public List<List<Integer>> combinationSum2(int[] candidates, int target) {
        List<List<Integer>> result = new ArrayList<>();
        List<Integer> subset = new ArrayList<>();
        if(candidates ==null || candidates.length==0) return result;
        Arrays.sort(candidates);
        combinationSum2Helper(candidates,target,subset,result,0);
        return result;
    }
    
    public void combinationSum2Helper(int[] nums,int target,List<Integer> subset,List<List<Integer>> result,int start){
        if(target==0){
            result.add(new ArrayList<>(subset));
        }else if(target>0){
            for(int i = start;i<nums.length;i++){
                if(i>start && nums[i]==nums[i-1]) continue;
                subset.add(nums[i]);
                combinationSum2Helper(nums,target-nums[i],subset,result,i+1);
                subset.remove(subset.size()-1);
            }
        }
    }
}