ProblemNest
Sign In
You are coding as a Guest. Sign in with Google in 1 tap to save your daily streak, lock in +50 XP & boost your college rank!
Save Streak (1-Tap Google)
9:00 AM Daily Incident ReleaseMaintaining a 7-day streak grants a 2.5× Recruiter Visibility Multiplier on the Recruiter Talent Radar.
Multiplier Ladder:1d: 1.0ו3d: 1.5ו7d: 2.5× MAX
🔥Largest Rectangle in Histogram: Monotonic Bar StackHard
SUPER HARD PROBLEM OF THE DAY+150 XP • FAANG OA TIER

High-difficulty challenge matching authentic Google, Amazon & Uber L5 online assessment conditions.

HardStack•Acceptance: 44.7%

Largest Rectangle in Histogram: Monotonic Bar Stack

Targeted in FAANG & Tech OA:GoogleAmazonMicrosoft
Real-World Engineering Context
Used in computer vision (optical character recognition, bounding box segmentation) and database query planning for maximal contiguous memory block allocators.
Given an array of integers `heights` representing the histogram's bar height where the width of each bar is `1`, return the area of the largest rectangle in the histogram.

Sample Test Cases

Input: [[2,1,5,6,2,3]]
Expected: 10
Input: [[2,4]]
Expected: 4
Input: [[3,3,3,3]]
Expected: 12

Constraints

  • 1 <= heights.length <= 10^5
  • 0 <= heights[i] <= 10^4
Verified Proof-of-Work ATS PortfolioCryptographic Verification
Export tamper-proof problem verifications to your direct ATS applications
DevScore: Unranked (0/1000)

Every verified problem solve writes authentic cryptographic proof-of-work to your profile. Attach your verified DevScore badge to ATS applications to stand out to engineering hiring teams across 4,000+ verified live tech openings (23,000+ cumulative audited) on RoleNest.

Explore 4,000+ Direct ATS Openings on RoleNest ↗Solve Challenge to Activate Ledger