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.
For 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.递归(分治)方法来做,递归条件是看左子树或者右子树有没有满足条件的路径,也就是子树路径和等于当前sum减去当前节点的值。结束条件是如果当前节点是空的,则返回false,如果是叶子,那么如果剩余的sum等于当前叶子的值,则找到满足条件的路径,返回true。算法的复杂度是输的遍历,时间复杂度是O(n),空间复杂度是O(logn)。
public 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); } }
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