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leetcode || 39、Combination Sum

时间:2015-03-26 17:52:21      阅读:236      评论:0      收藏:0      [点我收藏+]

problem:

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 (a1a2, … , 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] 

Hide Tags
 Array Backtracking
在一个数组中寻找若干个数使其和为target,每个数都可以重复出现


thinking:

(1)这道题的难点是怎么处理每个数可以重复出现

(2)采取DFS策略,遇到符合要求的解往下一层继续搜索,遇到不合适的则回溯搜索。

plz 理解回溯偶的思想,会构造和使用DFS!!!

code:

class Solution {
private:
    vector<vector<int> > ret;
    vector<int> a;//记录有效解
public:
    void solve(int dep, int maxDep, int target, vector<int> &cand)
    {
        if (target < 0)   //回溯条件
            return;
            
        if (dep == maxDep)  //DFS终止条件
        {
            if (target == 0)  //获取有效解
             {
                vector<int> res;
                for(int i = 0; i < maxDep; i++)
                    for(int j = 0; j < a[i]; j++)
                        res.push_back(cand[i]);
                ret.push_back(res);
            }
            return;
        }
        
        for(int i = 0; i <= target / cand[dep]; i++)
        {
            a[dep] = i;
            solve(dep + 1, maxDep, target - cand[dep] * i, cand);
        }
    }
    
    vector<vector<int> > combinationSum(vector<int> &candidates, int target) {
        // Start typing your C/C++ solution below
        // DO NOT write int main() function
        sort(candidates.begin(), candidates.end());
        
        a.resize(candidates.size());
        ret.clear();
        if (candidates.size() == 0)
            return ret;
            
        solve(0, candidates.size(), target, candidates);
        
        return ret;
    }
};

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leetcode || 39、Combination Sum

原文:http://blog.csdn.net/hustyangju/article/details/44649889

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