Greedy Algorithms

Advanced & DP

Making locally optimal choices that guarantee global optimal outcomes

410 problems·43 Easy·277 Medium·90 Hard
Pattern Study Guide & Cheat Sheet

Make the locally optimal choice at each decision step with the mathematical guarantee that it leads to the globally optimal solution without backtracking.

Core Invariant: Greedy Choice Property: Can you prove by exchange argument that swapping a greedy decision with any alternative never produces a superior outcome? If yes, greedy holds.

Recognize it (Keywords & Signals)
  • Maximize profit / minimize cost with independent sequential choices
  • Jump game (maximum reachable index)
  • Gas station circuit / circular route
  • Task scheduler / candy distribution
  • Minimum arrows to burst balloons
When NOT to use

Local decisions constrain future options in conflicting ways (e.g. 0/1 Knapsack, Coin Change with arbitrary denominations; must use DP!).

How to solve (Step-by-step)
  1. 1.Identify the greedy metric (e.g. earliest finish time, farthest reach, max profit step).
  2. 2.Sort inputs if necessary to enforce the greedy ordering.
  3. 3.Maintain a single state variable (e.g., `farthest_reach = 0`, `current_gas = 0`).
  4. 4.Iterate through elements and update state irreversibly.
  5. 5.Return final accumulated score or boolean feasibility.
Watch for (Interview Traps)
  • Assuming greedy works without proof (e.g. Coin Change fails for denominations [1, 3, 4] with target 6)
  • Premature optimization: always verify if dynamic programming is required before committing to greedy
  • Failing to check if starting point is unreachable in Jump Game
Farthest Reach Greedy (Jump Game)
def can_jump(nums: list[int]) -> bool:
    farthest = 0
    
    for i, jump in enumerate(nums):
        # If current index is beyond the farthest reach, we cannot proceed
        if i > farthest:
            return False
        # Update maximum index we can reach
        farthest = max(farthest, i + jump)
        if farthest >= len(nums) - 1:
            return True
            
    return True
Cost
O(n) single pass or O(n log n) with sorting · O(1) auxiliary space (Extremely memory efficient when greedy choice property holds.)
Canonical problems
#55 Jump Game: Greedily extend farthest reachable milestone
#45 Jump Game II: Count jumps whenever current step boundary is reached
#134 Gas Station: If total gas >= total cost, start right after the worst deficit point
#621 Task Scheduler: Most frequent task forms idle slot framework
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Medium·2 companies·Max freq 13%·Acc 29.4%
AmazonGoogle
Medium·2 companies·Max freq 13%·Acc 48.1%
AmazonGoogle
Hard·2 companies·Max freq 13%·Acc 17.2%
AmazonGoogle
Medium·1 companies·Max freq 100%·Acc 77.1%
Zluri
Medium·1 companies·Max freq 100%·Acc 59.8%
Zluri
Medium·1 companies·Max freq 100%·Acc 49.1%
Grab
Medium·1 companies·Max freq 100%·Acc 33.5%
Rubrik
Medium·1 companies·Max freq 100%·Acc 47.8%
Huawei
Medium·1 companies·Max freq 100%·Acc 46.1%
Paytm
Medium·1 companies·Max freq 100%·Acc 52.3%
DRW
Easy·1 companies·Max freq 100%·Acc 66.9%
fourkites
Medium·1 companies·Max freq 100%·Acc 24.1%
American Express
Medium·1 companies·Max freq 100%·Acc 54.7%
American Express
Medium·1 companies·Max freq 100%·Acc 36.3%
Fleetx
Medium·1 companies·Max freq 100%·Acc 69.4%
Akuna Capital
Medium·1 companies·Max freq 100%·Acc 43.6%
Alibaba
Medium·1 companies·Max freq 100%·Acc 65.6%
Airtel
Medium·1 companies·Max freq 100%·Acc 62.9%
ServiceNow
Hard·1 companies·Max freq 100%·Acc 40.0%
Deutsche Bank
Medium·1 companies·Max freq 100%·Acc 34.1%
Tencent
Hard·1 companies·Max freq 100%·Acc 70.7%
Qualcomm
Hard·1 companies·Max freq 90%·Acc 44.9%
Sprinklr
Hard·1 companies·Max freq 89%·Acc 30.8%
Aon
Medium·1 companies·Max freq 88%·Acc 30.5%
Samsung
Medium·1 companies·Max freq 88%·Acc 40.8%
Adobe
Medium·1 companies·Max freq 88%·Acc 33.3%
Walmart Labs
Medium·1 companies·Max freq 83%·Acc 32.1%
DE Shaw
Medium·1 companies·Max freq 75%·Acc 44.8%
DE Shaw
Medium·1 companies·Max freq 75%·Acc 49.5%
DE Shaw
Medium·1 companies·Max freq 75%·Acc 45.9%
Airbnb
Hard·1 companies·Max freq 75%·Acc 30.2%
Intuit
Hard·1 companies·Max freq 75%·Acc 46.4%
Intuit
Medium·1 companies·Max freq 75%·Acc 35.0%
PayPal
Medium·1 companies·Max freq 75%·Acc 48.1%
IBM
Medium·1 companies·Max freq 75%·Acc 53.8%
Salesforce
Medium·1 companies·Max freq 75%·Acc 33.6%
Infosys
Medium·1 companies·Max freq 75%·Acc 38.3%
Infosys
Medium·1 companies·Max freq 75%·Acc 61.0%
Infosys
Medium·1 companies·Max freq 75%·Acc 64.3%
Infosys
Medium·1 companies·Max freq 75%·Acc 34.9%
Infosys
Medium·1 companies·Max freq 75%·Acc 27.8%
Snowflake
Hard·1 companies·Max freq 75%·Acc 71.2%
Visa
Easy·1 companies·Max freq 70%·Acc 72.8%
IBM
Hard·1 companies·Max freq 65%·Acc 30.3%
Infosys
Hard·1 companies·Max freq 63%·Acc 62.4%
Morgan Stanley
Medium·1 companies·Max freq 63%·Acc 36.4%
UKG
Hard·1 companies·Max freq 63%·Acc 35.6%
Rubrik
Hard·1 companies·Max freq 63%·Acc 41.6%
HashedIn
Hard·1 companies·Max freq 63%·Acc 21.8%
TikTok
Medium·1 companies·Max freq 63%·Acc 70.0%
Salesforce
Medium·1 companies·Max freq 60%·Acc 54.5%
Nutanix
Medium·1 companies·Max freq 50%·Acc 19.8%
LinkedIn
Medium·1 companies·Max freq 50%·Acc 58.9%
Amazon
Medium·1 companies·Max freq 50%·Acc 43.7%
Uber
Medium·1 companies·Max freq 50%·Acc 50.9%
Uber
Medium·1 companies·Max freq 50%·Acc 65.3%
Uber
Medium·1 companies·Max freq 39%·Acc 58.8%
TikTok
Medium·1 companies·Max freq 39%·Acc 55.5%
Amazon
Hard·1 companies·Max freq 38%·Acc 19.0%
Microsoft
Medium·1 companies·Max freq 38%·Acc 31.4%
Amazon
Hard·1 companies·Max freq 38%·Acc 23.3%
Amazon
Hard·1 companies·Max freq 29%·Acc 30.9%
Amazon
Medium·1 companies·Max freq 27%·Acc 50.2%
Microsoft
Medium·1 companies·Max freq 27%·Acc 51.9%
Microsoft
Medium·1 companies·Max freq 27%·Acc 64.7%
Microsoft
Medium·1 companies·Max freq 27%·Acc 43.6%
Microsoft
Medium·1 companies·Max freq 27%·Acc 64.0%
Microsoft
Medium·1 companies·Max freq 25%·Acc 24.9%
Oracle
Medium·1 companies·Max freq 25%·Acc 63.5%
Amazon
Hard·1 companies·Max freq 25%·Acc 32.2%
Amazon
Medium·1 companies·Max freq 25%·Acc 36.2%
Amazon
Medium·1 companies·Max freq 25%·Acc 72.3%
Amazon
Hard·1 companies·Max freq 25%·Acc 20.8%
Amazon
Medium·1 companies·Max freq 25%·Acc 32.2%
Amazon
Hard·1 companies·Max freq 25%·Acc 43.2%
Amazon
Medium·1 companies·Max freq 25%·Acc 55.0%
Amazon
Medium·1 companies·Max freq 25%·Acc 71.5%
Amazon
Medium·1 companies·Max freq 25%·Acc 66.1%
Amazon
Medium·1 companies·Max freq 25%·Acc 29.4%
Amazon
Medium·1 companies·Max freq 25%·Acc 25.4%
Amazon
Hard·1 companies·Max freq 25%·Acc 33.4%
Amazon
Medium·1 companies·Max freq 25%·Acc 62.8%
Amazon
Hard·1 companies·Max freq 25%·Acc 65.0%
Amazon
Medium·1 companies·Max freq 25%·Acc 45.9%
Amazon
Hard·1 companies·Max freq 25%·Acc 42.2%
Amazon
Medium·1 companies·Max freq 25%·Acc 72.0%
Amazon
Medium·1 companies·Max freq 25%·Acc 60.3%
Amazon
Medium·1 companies·Max freq 25%·Acc 35.4%
Amazon
Medium·1 companies·Max freq 25%·Acc 28.2%
Amazon
Easy·1 companies·Max freq 25%·Acc 43.9%
Google
Medium·1 companies·Max freq 25%·Acc 44.6%
Google
Hard·1 companies·Max freq 25%·Acc 54.1%
Google
Medium·1 companies·Max freq 25%·Acc 59.8%
Google
Hard·1 companies·Max freq 25%·Acc 30.5%
Google
Hard·1 companies·Max freq 25%·Acc 59.0%
Google
Medium·1 companies·Max freq 25%·Acc 65.0%
Google
Medium·1 companies·Max freq 25%·Acc 66.8%
Google
Medium·1 companies·Max freq 25%·Acc 39.9%
Google
Hard·1 companies·Max freq 25%·Acc 46.6%
Google
Medium·1 companies·Max freq 25%·Acc 64.5%
Google
Medium·1 companies·Max freq 25%·Acc 49.3%
Google
Medium·1 companies·Max freq 25%·Acc 49.1%
Google
Hard·1 companies·Max freq 25%·Acc 51.7%
Google
Easy·1 companies·Max freq 25%·Acc 65.9%
Google
Medium·1 companies·Max freq 25%·Acc 68.7%
Google
Medium·1 companies·Max freq 25%·Acc 64.0%
Google
Medium·1 companies·Max freq 25%·Acc 89.9%
Google
Easy·1 companies·Max freq 25%·Acc 66.6%
Google
Medium·1 companies·Max freq 25%·Acc 23.6%
Google
Hard·1 companies·Max freq 18%·Acc 64.8%
Google
Medium·1 companies·Max freq 18%·Acc 27.4%
Google
Medium·1 companies·Max freq 16%·Acc 61.5%
Amazon
Medium·1 companies·Max freq 13%·Acc 19.4%
Amazon
Hard·1 companies·Max freq 13%·Acc 40.0%
Amazon
Hard·1 companies·Max freq 13%·Acc 19.9%
Amazon
Medium·1 companies·Max freq 13%·Acc 39.6%
Amazon
Medium·1 companies·Max freq 13%·Acc 47.6%
Amazon
Easy·1 companies·Max freq 13%·Acc 42.7%
Amazon
Medium·1 companies·Max freq 13%·Acc 49.6%
Amazon
Medium·1 companies·Max freq 13%·Acc 31.1%
Bloomberg
Hard·1 companies·Max freq 13%·Acc 37.0%
Bloomberg
Medium·1 companies·Max freq 13%·Acc 40.5%
Bloomberg
Medium·1 companies·Max freq 13%·Acc 37.3%
Microsoft
Hard·1 companies·Max freq 13%·Acc 63.1%
Google
Medium·1 companies·Max freq 13%·Acc 57.5%
Google
Hard·1 companies·Max freq 13%·Acc 17.9%
Google
Hard·1 companies·Max freq 13%·Acc 40.1%
Google
Easy·1 companies·Max freq 13%·Acc 60.5%
Google
Medium·1 companies·Max freq 13%·Acc 59.1%
Google
Hard·1 companies·Max freq 13%·Acc 55.4%
Google
Showing 410 of 410 problems in Greedy AlgorithmsFiltered: All Companies