# Leetcode - Episode 16 - Pretty Efficient (3 x E)

More algorithms today. Pretty efficient ones at that. All above 90% ranked on the first submission. I’m beginning to find a lot of patterns that can be applied to the different problems. Most of the Easy binary tree questions are guilty of this.

I’m really happy that I finally solved *Flipping an Image* – I had been in the thicket of a messy solution for a couple days but I was able to Pythonize it (read: refactor it)! I got hung up on solving it optimally before peaking at any resources.

### 832. Flipping an Image

Problem: Flip a binary matrix and then invert it.

The trick is doing both steps at once. In other words, you don’t want two for loops.

```
class Solution(object):
def flipAndInvertImage(self, A):
"""
:type A: List[List[int]]
:rtype: List[List[int]]
"""
for x in range(len(A)):
A[x] = A[x][::-1]
for y in range(len(A[x])):
A[x][y] ^= 1
return A
```

Outrageously straightforwards when it’s reduced down to four lines.

Runtime complexity: `O(n)`

.

Spacetime complexity: `O(n)`

.

### 872. Leaf-Similar Trees

Problem: Do these two trees have similar leaves – read left-to-right.

We’re going to the edge of these trees and comparing the concatenated values found therein, or, there-out-there.

```
# Definition for a binary tree node.
# class TreeNode(object):
# def __init__(self, x):
# self.val = x
# self.left = None
# self.right = None
class Solution(object):
def leafSimilar(self, root1, root2):
"""
:type root1: TreeNode
:type root2: TreeNode
:rtype: bool
"""
self.root1_store = []
self.root2_store = []
def bfs_recurse(node, store):
if not node.left and not node.right:
store.append(node.val)
else:
if node.left:
bfs_recurse(node.left, store)
if node.right:
bfs_recurse(node.right, store)
if root1:
bfs_recurse(root1, self.root1_store)
if root2:
bfs_recurse(root2, self.root2_store)
return self.root1_store == self.root2_store
```

First try, pre-optimization: `Runtime: 32 ms, faster than 99.02% of Python online submissions.`

.

Runtime complexity: `O(n)`

.

Spacetime complexity: `O(n)`

.

### 559. Maximum Depth of N-ary Tree

Problem: What is the deepest level of this n-ary tree?

For this, we’ll need a full tree traversal and some way of keeping track of the maximum depth so far. Lately, I’ve been reaching for instance variables in situations like this.

```
"""
# Definition for a Node.
class Node(object):
def __init__(self, val, children):
self.val = val
self.children = children
"""
class Solution(object):
def maxDepth(self, root):
"""
:type root: Node
:rtype: int
"""
self.depth = 0
def dfs_recurse(node, depth):
depth += 1
for c in node.children:
dfs_recurse(c, depth)
self.depth = max(depth, self.depth)
if root:
dfs_recurse(root, 0)
return self.depth
```

I’m going to check out some other solutions that don’t use pseudo-globals.

Runtime complexity: `O(n)`

.

Space complexity: `O(n)`

.