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.
Approach1: DFS
This problem is quite similar to the LeetCode104, I use two stacks, one for node and one for node value. This is a pre-order idea to process nodes. Each time when I process the node, I process the value of it and update the sum of it. Cause the problem is asked about the root-leaf. I thought a valid path is right. that's the mistake I made at first. So I need to check if the node has child even if the value is equal to sum.
class Solution {
public boolean hasPathSum(TreeNode root, int sum) {
if(root == null) return false;
Stack<TreeNode> stack = new Stack<>();
Stack<Integer> value = new Stack<>();
stack.push(root);
value.push(root.val);
while(!stack.empty()){
TreeNode node = stack.pop();
int temp = value.pop();
if(temp == sum && node.left == null && node.right == null) {//follow up may exist here
return true;
}
if(node.left != null){
stack.push(node.left);
value.push(node.left.val + temp);
}
if(node.right != null){
stack.push(node.right);
value.push(node.right.val + temp);
}
}
return false;
}
}
Follow up question my be like: Find a valid path is fine, no need to root-leaf. Then just remove the condition "node.left == null && node.right == null".
Approach2 Recursion
The basic idea is to subtract the value of current node from sum until it reaches a leaf node and the subtraction equals 0, then we know that we got a hit. Otherwise the subtraction at the end could not be 0. Recursion pattern goes like update the parameter while call it self.
class Solution {
public boolean hasPathSum(TreeNode root, int sum) {
if(root == null) return false;
if(root.left == null && root.right == null && sum - root.val == 0) return true;
return hasPathSum(root.left, sum - root.val) || hasPathSum(root.right, sum - root.val);
}
}
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