40. Combination Sum II

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]
]

Solution:Backtracking

总结见:http://www.jianshu.com/p/883fdda93a66
思路:
和39题 Combination Sum http://www.jianshu.com/p/65dbdddcd398 思路相同,加上 if(i > start && nums[i] == nums[i - 1]) continue; to skip duplicates
Time Complexity: O(2^N) Space Complexity: O(N)

Solution Code:

class Solution {
    public List> combinationSum2(int[] nums, int target) {
        List> result = new ArrayList<>();
        List cur_res = new ArrayList<>();
        Arrays.sort(nums);
        backtrack(nums, 0, target, cur_res, result);
        return result;
    }

    private void backtrack(int[] nums, int start, int remain, List cur_res, List> result) {
        if(remain < 0) return; // early stop
        else if(remain == 0) {
            result.add(new ArrayList<>(cur_res));
        }
        else{
            for(int i = start; i < nums.length; i++){
                if(i > start && nums[i] == nums[i - 1]) continue; // skip duplicates
                cur_res.add(nums[i]);
                backtrack(nums, i + 1, remain - nums[i], cur_res, result);
                cur_res.remove(cur_res.size() - 1); 
            }
        }
    } 
}

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