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Leetcode Path sum II

2014年04月05日 ⁄ 综合 ⁄ 共 1077字 ⁄ 字号 评论关闭

Path Sum II

 Total Accepted: 6531 Total
Submissions: 24225
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Given a binary tree and a sum, find all root-to-leaf paths where each path's sum equals the given sum.

For example:

Given the below binary tree and sum = 22,

              5
             / \
            4   8
           /   / \
          11  13  4
         /  \    / \
        7    2  5   1

return

[
   [5,4,11,2],
   [5,8,4,5]
]

就是递归回溯法的应用。2到3星难度。

如下程序:

vector<vector<int> > pathSum(TreeNode *root, int sum) 
	{
		vector<vector<int> > rs;
		vector<int> tmp;
		storeSums(rs, tmp, root, sum);
		return rs;
	}
	void storeSums(vector<vector<int> > &rs, vector<int> &tmp, TreeNode *r, int sum)
	{
		if (!r) return;
		tmp.push_back(r->val);
		storeSums(rs, tmp, r->left, sum - r->val);
		storeSums(rs, tmp, r->right, sum - r->val);
		if (!r->left && !r->right && r->val == sum) rs.push_back(tmp);
		tmp.pop_back();
	}

下面这样写法可以说是很多递归回溯程序的标准形式了:

//2014-2-17 update
	vector<vector<int> > pathSum(TreeNode *root, int sum) 
	{
		vector<vector<int> > rs;
		vector<int> tmp;
		path(rs, tmp, root, sum);
		return rs;
	}
	void path(vector<vector<int> > &rs, vector<int> &tmp, TreeNode *r, int sum)
	{
		if (!r) return;
		if (!r->left && !r->right)
		{
			if (r->val == sum)
			{
				rs.push_back(tmp);
				rs.back().push_back(sum);
			}
			return;
		}
		tmp.push_back(r->val);
		path(rs, tmp, r->left, sum - r->val);
		path(rs, tmp, r->right, sum - r->val);
		tmp.pop_back();
	}

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