题目:
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.
实现:
- 递归方式,DFS遍历所有路径找出符合条件的路径, sum值,每次调用时剪掉当前的值, 最后符合条件的路径中叶子节点的值与sum相同, 空间复杂度O(N) 时间复杂度 O(N)
class Solution {
public boolean hasPathSum(TreeNode root, int sum) {
if (root == null ){
return false;
}
if (root.left == null && root.right == null && root.val == sum){
return true;
}
return hasPathSum(root.left, sum - root.val) || hasPathSum(root.right, sum - root.val);
}
}
- 迭代方式,使用栈实现先序遍历, 对于sum计算与递归模式不同,入栈前加上父节点的val, 这样如果找到符合要求的节点, 则节点val与sum值一致。 空间复杂度O(N) 时间复杂度 O(N)
class Solution {
public boolean hasPathSum(TreeNode root, int sum) {
if (root == null){
return false;
}
Stack<TreeNode> st = new Stack<TreeNode>();
st.push(root);
while (!st.empty()){
TreeNode node = st.pop();
if (node.left == null && node.right == null && node.val == sum){
return true;
}
if (node.left != null){
node.left.val += node.val;
st.push(node.left);
}
if (node.right != null){
node.right.val += node.val;
st.push(node.right);
}
}
return false;
}
}
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