题目

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, a1a2 ≤ … ≤ ak).
  • 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]

题解

这道题跟combination sum本质的差别就是当前已经遍历过的元素只能出现一次。

所以需要给每个candidate一个visited域,来标识是否已经visited了。

当回退的时候,记得要把visited一起也回退了。

代码如下:

  1.  1     public static ArrayList<ArrayList<Integer>> combinationSum(int[] candidates, int target) {  
  2.  2         ArrayList<ArrayList<Integer>> res = new ArrayList<ArrayList<Integer>>();  
  3.  3         ArrayList<Integer> item = new ArrayList<Integer>();
  4.  4         if(candidates == null || candidates.length==0)  
  5.  5             return res; 
  6.  6             
  7.  7         Arrays.sort(candidates);  
  8.  8         boolean [] visited = new boolean[candidates.length];
  9.  9         helper(candidates,target, 0, item ,res, visited);  
  10.          return res;  
  11.      }  
  12.      
  13.      private static void helper(int[] candidates, int target, int start, ArrayList<Integer> item,   
  14.      ArrayList<ArrayList<Integer>> res, boolean[] visited){  
  15.          if(target<0)  
  16.              return;  
  17.          if(target==0){  
  18.              res.add(new ArrayList<Integer>(item));  
  19.              return;  
  20.          }
  21.          
  22.          for(int i=start;i<candidates.length;i++){
  23.              if(!visited[i]){
  24.                  if(i>0 && candidates[i] == candidates[i-1] && visited[i-1]==false)//deal with dupicate
  25.                      continue;  
  26.                  item.add(candidates[i]);
  27.                  visited[i]=true;
  28.                  int newtarget = target - candidates[i];
  29.                  helper(candidates,newtarget,i+1,item,res,visited);  
  30.                  visited[i]=false;
  31.                  item.remove(item.size()-1);  
  32.              }
  33.          }  
  34.      } 

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