LeetCode39:Combination Sum

LeetCode39:Combination Sum

Given a set of candidate numbers (C) and a target number (T), find all unique combinations in C where the candidate numbers sums to T.

The same repeated number may be chosen from C unlimited number of times.

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 2,3,6,7 and target 7,
A solution set is:
[7]
[2, 2, 3]

這道題看過好幾次最開始都沒看出怎麼做就一直留著，結果今天在做Subsets 這道題時找到了靈感，使用深度優先的方法搜索，並且用一個vector記錄向量，找到合適的向量時即將它保存在結果中，並進行回溯操作。這道題相比於Subsets中使用回溯法而言更麻煩一些。以後需要注意這種解題方法，當要求解的結果是一系列向量的集合時使用dfs搜索記錄路徑這種方法。對於輸入candidates=[1,2] ，target=3，遍歷的方向如圖：

runtime:28ms<喎?http://www.Bkjia.com/kf/ware/vc/" target="_blank" class="keylink">vcD4NCjxwcmUgY2xhc3M9"brush:java;"> class Solution { public: vector> combinationSum(vector& candidates, int target) { vector> result; vector path; sort(candidates.begin(),candidates.end()); helper(candidates,0,0,target,path,result); return result; } void helper(vector &nums,int pos,int base,int target,vector& path,vector> & result) { if(base==target) { result.push_back(path); return ; } if(base>target) return ; for(int i=pos;i