要求
给定树,与路径和,判断是否存在从跟到叶子之和为给定值的路径。比如下图中,给定路径之和为22,存在路径<5,4,11,2>,因此返回true;否则返回false.
5
/ \
4 8
/ / \
11 13 4
/ \ \
7 2 5
思路
递归,从跟到叶子判断,如果在叶子处剩下的给定值恰好为给定值,那么返回ture.
参考代码
/**
* Definition for binary tree
* 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) {
if (root == NULL)
return false;
else if (root != NULL && root->left == NULL && root->right == NULL)
{
if (sum == root->val)
return true;
else
return false;
}
else
return hasPathSum(root->left, sum-root->val) || hasPathSum(root->right, sum-root->val);
}
};

扩展

求出所有符合条件的路径。例如,上题中返回<<5, 4, 11, 2>, <5, 8, 4, 5>>

参考代码

/**
* Definition for binary tree
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
void addPath(TreeNode *root, int sum, vector<int> tmp, vector<vector<int> > &rev)
{
if (root != NULL && root->left == NULL && root->right == NULL && root->val == sum)
{
tmp.push_back(root->val);
rev.push_back(tmp);
tmp.pop_back();
}
if (root->left != NULL)
{
tmp.push_back(root->val);
addPath(root->left, sum - root->val, tmp, rev);
tmp.pop_back();
}
if (root->right != NULL)
{
tmp.push_back(root->val);
addPath(root->right, sum - root->val, tmp, rev);
tmp.pop_back();
}
}
vector<vector<int> > pathSum(TreeNode *root, int sum) {
vector<vector<int> > rev;
if (root == NULL)
return rev; vector<int> tmp; addPath(root, sum, tmp, rev);
return rev;
}
};

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