Hi, here's your problem today. This problem was recently asked by Google:

Given a binary tree, find and return the largest path from root to leaf.

Here's an example and some starter code:

```
class Node:
def __init__(self, value, left=None, right=None):
self.value = value
self.left = left
self.right = right
def largest_path_sum(tree):
# Fill this in.
tree = Node(1)
tree.left = Node(3)
tree.right = Node(2)
tree.right.left = Node(4)
tree.left.right = Node(5)
# 1
# / \
# 3 2
# \ /
# 5 4
print(largest_path_sum(tree))
# [1, 3, 5]
```