Tree Breadth-First Search (BFS)

Trees & Graphs

Level-order traversal and horizontal tier exploration using queues

382 problems·42 Easy·238 Medium·102 Hard
Pattern Study Guide & Cheat Sheet

Traverse tree level by level using a FIFO queue, processing all nodes at depth D before any node at depth D+1.

Core Invariant: Level Snapshot: At the start of each while loop iteration, `len(queue)` EXACTLY equals the number of nodes on the current level. Process that fixed count in a loop before touching the next level.

Recognize it (Keywords & Signals)
  • Level order traversal / zigzag level order
  • Binary tree right side view
  • Populate next right pointers in each node
  • Minimum depth of binary tree (earliest leaf found)
When NOT to use

Path sum from root to leaf or deep ancestor queries (Tree DFS is simpler and uses less auxiliary memory).

How to solve (Step-by-step)
  1. 1.If `not root: return []`.
  2. 2.Initialize `queue = collections.deque([root])`.
  3. 3.While `queue`: capture `level_size = len(queue)` and create `current_level = []`.
  4. 4.Loop `for _ in range(level_size)`: pop `node = queue.popleft()`, append `node.val` to `current_level`.
  5. 5.Enqueue children: `if node.left: queue.append(node.left)` and `if node.right: queue.append(node.right)`.
  6. 6.Append `current_level` to `result`.
Watch for (Interview Traps)
  • Using dynamic `len(queue)` directly in `while` loop condition without freezing `level_size`
  • Forgetting to check `if not root:` before creating queue (adds `None` to queue)
  • Using a Python list as queue with `pop(0)` (which is O(N) per pop!) instead of `deque.popleft()` (O(1))
Level-by-Level Tree BFS (Level Order Traversal)
from collections import deque

def level_order(root: TreeNode | None) -> list[list[int]]:
    if not root:
        return []
        
    levels = []
    queue = deque([root])
    
    while queue:
        level_size = len(queue)  # Snapshot number of nodes at this depth
        curr_level = []
        
        for _ in range(level_size):
            node = queue.popleft()
            curr_level.append(node.val)
            
            if node.left:
                queue.append(node.left)
            if node.right:
                queue.append(node.right)
                
        levels.append(curr_level)
        
    return levels
Cost
O(N) visits each node once · O(W) where W is maximum width of tree (up to N/2 at bottom level) (Optimal for level-oriented questions.)
Canonical problems
#102 Binary Tree Level Order Traversal: Standard level batching
#199 Binary Tree Right Side View: Last element in each level snapshot is visible from the right
#103 Binary Tree Zigzag Level Order Traversal: Reverse alternate level arrays or use deque
#111 Minimum Depth of Binary Tree: First leaf node encountered across levels guarantees minimum depth
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Easy·3 companies·Max freq 63%·Acc 46.2%
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MetaBloombergGoogle
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BloombergMetaAmazon
Hard·3 companies·Max freq 38%·Acc 54.9%
SnowflakeGoogleMeta
Easy·3 companies·Max freq 29%·Acc 59.5%
GoogleMetaAmazon
Medium·3 companies·Max freq 27%·Acc 69.4%
AmazonBloombergMicrosoft
Medium·3 companies·Max freq 25%·Acc 44.2%
MetaMicrosoftGoogle
Medium·3 companies·Max freq 25%·Acc 61.7%
MetaAmazonGoogle
Medium·3 companies·Max freq 25%·Acc 70.8%
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Medium·3 companies·Max freq 25%·Acc 78.6%
BloombergGoogleMeta
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UberGoogleMeta
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GoogleBloombergMeta
Easy·3 companies·Max freq 13%·Acc 81.1%
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Hard·3 companies·Max freq 13%·Acc 72.5%
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Medium·2 companies·Max freq 100%·Acc 75.5%
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Hard·2 companies·Max freq 100%·Acc 73.1%
JioGoogle
Medium·2 companies·Max freq 100%·Acc 60.6%
MakeMyTripGoogle
Medium·2 companies·Max freq 100%·Acc 82.2%
CoupangAmazon
Hard·2 companies·Max freq 100%·Acc 46.9%
WeRideDoorDash
Hard·2 companies·Max freq 100%·Acc 45.8%
DropboxUber
Medium·2 companies·Max freq 100%·Acc 68.4%
BCGAmazon
Hard·2 companies·Max freq 93%·Acc 32.1%
GameskraftGoogle
Medium·2 companies·Max freq 88%·Acc 0.5%
Booking.comBooking.com
Medium·2 companies·Max freq 88%·Acc 55.5%
SamsungUber
Easy·2 companies·Max freq 88%·Acc 73.7%
DatadogAmazon
Medium·2 companies·Max freq 88%·Acc 75.8%
spinnyBloomberg
Hard·2 companies·Max freq 88%·Acc 57.3%
AdobeMicrosoft
Medium·2 companies·Max freq 88%·Acc 67.4%
SnowflakeGoogle
Hard·2 companies·Max freq 83%·Acc 38.7%
InMobiGoogle
Medium·2 companies·Max freq 79%·Acc 56.2%
IntuitGoogle
Medium·2 companies·Max freq 75%·Acc 65.5%
LinkedInGoogle
Medium·2 companies·Max freq 75%·Acc 58.8%
BlackRockMicrosoft
Medium·2 companies·Max freq 70%·Acc 53.9%
VimeoBloomberg
Hard·2 companies·Max freq 63%·Acc 36.6%
FlipkartAmazon
Hard·2 companies·Max freq 38%·Acc 73.9%
OracleMicrosoft
Medium·2 companies·Max freq 38%·Acc 57.3%
DoorDashBloomberg
Medium·2 companies·Max freq 27%·Acc 45.9%
MicrosoftMeta
Medium·2 companies·Max freq 27%·Acc 59.0%
MetaGoogle
Medium·2 companies·Max freq 27%·Acc 81.3%
AmazonMeta
Medium·2 companies·Max freq 27%·Acc 75.9%
AmazonGoogle
Hard·2 companies·Max freq 25%·Acc 55.5%
AmazonGoogle
Medium·2 companies·Max freq 25%·Acc 74.4%
AppleAmazon
Medium·2 companies·Max freq 25%·Acc 80.3%
AmazonMeta
Hard·2 companies·Max freq 25%·Acc 70.9%
GoogleAmazon
Medium·2 companies·Max freq 25%·Acc 61.3%
GoogleAmazon
Medium·2 companies·Max freq 25%·Acc 53.0%
GoogleAmazon
Medium·2 companies·Max freq 25%·Acc 84.1%
GoogleAmazon
Hard·2 companies·Max freq 25%·Acc 41.1%
GoogleAmazon
Medium·2 companies·Max freq 25%·Acc 45.1%
UberGoogle
Medium·2 companies·Max freq 16%·Acc 41.4%
GoogleMicrosoft
Hard·2 companies·Max freq 13%·Acc 0.6%
GoogleAmazon
Medium·2 companies·Max freq 13%·Acc 64.0%
MetaAmazon
Hard·2 companies·Max freq 13%·Acc 56.5%
MetaGoogle
Easy·2 companies·Max freq 13%·Acc 79.0%
AmazonGoogle
Easy·2 companies·Max freq 13%·Acc 76.9%
AmazonGoogle
Medium·2 companies·Max freq 13%·Acc 67.3%
AmazonMicrosoft
Hard·2 companies·Max freq 13%·Acc 25.2%
AmazonGoogle
Hard·1 companies·Max freq 100%·Acc 52.4%
Kakao
Hard·1 companies·Max freq 100%·Acc 60.6%
Arcesium
Medium·1 companies·Max freq 100%·Acc 32.8%
IVP
Hard·1 companies·Max freq 100%·Acc 45.8%
IVP
Hard·1 companies·Max freq 100%·Acc 53.7%
Sprinklr
Medium·1 companies·Max freq 100%·Acc 62.9%
Alibaba
Hard·1 companies·Max freq 100%·Acc 57.8%
Sony
Hard·1 companies·Max freq 90%·Acc 47.0%
Sprinklr
Medium·1 companies·Max freq 90%·Acc 56.8%
Sprinklr
Medium·1 companies·Max freq 88%·Acc 48.6%
Epic Systems
Medium·1 companies·Max freq 88%·Acc 68.3%
Airbnb
Hard·1 companies·Max freq 88%·Acc 51.8%
Adobe
Medium·1 companies·Max freq 84%·Acc 66.9%
Agoda
Medium·1 companies·Max freq 78%·Acc 58.0%
PayPal
Hard·1 companies·Max freq 75%·Acc 36.9%
DE Shaw
Hard·1 companies·Max freq 75%·Acc 44.7%
DE Shaw
Hard·1 companies·Max freq 75%·Acc 72.9%
Airbnb
Hard·1 companies·Max freq 75%·Acc 45.7%
Infosys
Hard·1 companies·Max freq 75%·Acc 17.2%
Infosys
Medium·1 companies·Max freq 75%·Acc 66.3%
Infosys
Hard·1 companies·Max freq 64%·Acc 36.6%
Gameskraft
Medium·1 companies·Max freq 63%·Acc 58.1%
Oracle
Hard·1 companies·Max freq 63%·Acc 56.1%
Infosys
Hard·1 companies·Max freq 56%·Acc 42.6%
Juspay
Hard·1 companies·Max freq 55%·Acc 56.5%
Salesforce
Medium·1 companies·Max freq 52%·Acc 54.1%
Adobe
Hard·1 companies·Max freq 50%·Acc 46.2%
Uber
Medium·1 companies·Max freq 43%·Acc 77.9%
Google
Medium·1 companies·Max freq 39%·Acc 58.8%
TikTok
Medium·1 companies·Max freq 38%·Acc 50.4%
Microsoft
Hard·1 companies·Max freq 29%·Acc 71.0%
Microsoft
Medium·1 companies·Max freq 28%·Acc 82.5%
Amazon
Medium·1 companies·Max freq 27%·Acc 61.6%
Microsoft
Easy·1 companies·Max freq 27%·Acc 84.1%
Microsoft
Medium·1 companies·Max freq 27%·Acc 69.5%
Microsoft
Easy·1 companies·Max freq 27%·Acc 85.9%
Meta
Medium·1 companies·Max freq 25%·Acc 63.5%
Meta
Medium·1 companies·Max freq 25%·Acc 70.7%
Meta
Medium·1 companies·Max freq 25%·Acc 77.3%
Meta
Medium·1 companies·Max freq 25%·Acc 65.8%
TikTok
Medium·1 companies·Max freq 25%·Acc 68.2%
Amazon
Medium·1 companies·Max freq 25%·Acc 55.4%
Amazon
Hard·1 companies·Max freq 25%·Acc 37.7%
Amazon
Hard·1 companies·Max freq 25%·Acc 54.4%
Amazon
Medium·1 companies·Max freq 25%·Acc 42.3%
Amazon
Medium·1 companies·Max freq 25%·Acc 67.0%
Amazon
Medium·1 companies·Max freq 25%·Acc 83.2%
Amazon
Hard·1 companies·Max freq 25%·Acc 62.9%
Amazon
Hard·1 companies·Max freq 25%·Acc 20.8%
Google
Medium·1 companies·Max freq 25%·Acc 47.5%
Google
Medium·1 companies·Max freq 25%·Acc 44.7%
Google
Medium·1 companies·Max freq 25%·Acc 28.0%
Google
Hard·1 companies·Max freq 25%·Acc 61.0%
Google
Easy·1 companies·Max freq 25%·Acc 82.4%
Google
Hard·1 companies·Max freq 25%·Acc 36.4%
Google
Hard·1 companies·Max freq 25%·Acc 63.9%
Google
Medium·1 companies·Max freq 25%·Acc 52.0%
Google
Hard·1 companies·Max freq 25%·Acc 59.8%
Google
Medium·1 companies·Max freq 25%·Acc 75.1%
Google
Medium·1 companies·Max freq 25%·Acc 71.8%
Google
Medium·1 companies·Max freq 25%·Acc 74.3%
Google
Medium·1 companies·Max freq 25%·Acc 75.0%
Google
Hard·1 companies·Max freq 25%·Acc 44.4%
Google
Medium·1 companies·Max freq 25%·Acc 67.4%
Google
Hard·1 companies·Max freq 25%·Acc 57.0%
Google
Easy·1 companies·Max freq 25%·Acc 73.3%
Google
Medium·1 companies·Max freq 25%·Acc 47.5%
Google
Medium·1 companies·Max freq 13%·Acc 58.9%
Meta
Medium·1 companies·Max freq 13%·Acc 49.1%
Amazon
Medium·1 companies·Max freq 13%·Acc 26.9%
Bloomberg
Hard·1 companies·Max freq 13%·Acc 49.9%
Google
Hard·1 companies·Max freq 13%·Acc 26.2%
Google
Medium·1 companies·Max freq 13%·Acc 62.4%
Google
Hard·1 companies·Max freq 13%·Acc 19.8%
Google
Hard·1 companies·Max freq 13%·Acc 34.2%
Google
Hard·1 companies·Max freq 13%·Acc 62.5%
Google
Hard·1 companies·Max freq 13%·Acc 52.5%
Google
Showing 382 of 382 problems in Tree Breadth-First Search (BFS)Filtered: All Companies