LeetCode112. Path Sum

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112. Path Sum

[Easy] Given a binary tree and a sum, determine if the tree has a root-to-leaf path such that adding up all the values along the path equals the given sum.

Note: A leaf is a node with no children.

Example:

Given the below binary tree and sum = 22,

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

return true, as there exist a root-to-leaf path 5->4->11->2 which sum is 22.


求解是否有满足从根结点root到叶子结点上的元素和等于sum的情况。如果是,返回true。

注意必须是从根结点开始。

递归。直觉上就是如果需要求根结点root到叶子结点的和为某个sum,那就判断根结点的左孩子->叶子结点的和是否为sum-root.val,或者root的右孩子->叶子结点的和是否是否为root.val,依次递归下去。

递归开始的条件:当遇到了非叶子的结点,对左孩子和有孩子分别进行递归。进入递归时,需要比对的目标sum应该是在当前的目标值上减去该结点对应的值。

递归返回的条件:当遇到了空指针或者遇到了叶子结点。

struct TreeNode {
	int val;
	TreeNode *left;
	TreeNode *right;
	TreeNode(int x) : val(x), left(NULL), right(NULL) {}
};

class Solution {
public:
	bool hasPathSum(TreeNode* root, int sum) {
		return helper(root, sum);
	}
private:
	bool helper(TreeNode* root, int remain) {

		if (root == nullptr)
			return false;

		remain -= root->val;
		if (root->left == nullptr && root->right == nullptr)
		{
			if (remain == 0)
				return true;
			else
				return false;
		}

		bool left = helper(root->left, remain);
		bool right = helper(root->right, remain);

		return left || right;
	}
};

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