game theory
game theory is one of the most repeated interview dimensions. Start with edge-safe fundamentals, then move into pattern-level trade-offs.
Interview Signal
Frequently tests problem modeling, edge handling, and verbal clarity.
Common Pitfall
Template-only answers break under follow-up questioning.
Practice Strategy
Practice in 3-5 problem rounds and always review complexity alternatives.
Recommended Progression
High-Pressure Round
Nim Game
In Nim Game, determine if you can win given a certain number of stones, assuming optimal play from both players.
Guess Number Higher or Lower II
Minimize the maximum cost of guessing a number in a dynamic guessing game using optimal strategies.
Can I Win
Determine if the first player can guarantee a win in a turn-based number selection game using state transition dynamic p…
Predict the Winner
Predict the Winner involves two players taking turns to maximize their score by picking from either end of an array, opt…
Chalkboard XOR Game
The Chalkboard XOR Game is a game theory problem involving array manipulation and bitwise XOR, where players alternate e…
Guess the Word
Master the Guess the Word problem by applying array manipulation, match-counting math, and strategic interactive guessin…
Stone Game
Stone Game is a dynamic programming problem where players alternate taking stones from piles to maximize their score.
Cat and Mouse
Determine the outcome of a two-player Cat and Mouse game on a graph using topological ordering and memoized dynamic prog…
Divisor Game
Divisor Game is a game theory problem where players take turns subtracting divisors of a number n until one player loses…
Stone Game II
Stone Game II is a dynamic programming problem where Alice and Bob alternate taking stones from piles to maximize their …
Stone Game III
Stone Game III is a challenging dynamic programming problem based on game theory and state transition logic.
Stone Game IV
Stone Game IV requires predicting the winner using state transition dynamic programming with careful consideration of pe…
Maximum Number of Coins You Can Get
Solve the Maximum Number of Coins You Can Get using greedy pile selection and invariant validation to maximize your coin…
Stone Game V
In Stone Game V, Alice divides stones into rows to maximize her score, using a dynamic programming approach to try all d…
Stone Game VI
Determine the winner in Stone Game VI using a greedy strategy that accounts for each stone's dual value impact on Alice …
Stone Game VII
Maximize score difference in a two-player turn-based stone removal game using state transition dynamic programming.
Cat and Mouse II
Cat and Mouse II requires determining if the mouse can reach food before being caught using graph and topological orderi…
Stone Game VIII
Stone Game VIII requires calculating maximum score difference using state transition dynamic programming on prefix sums …
Sum Game
Determine if Alice can force a win in the Sum Game by strategically replacing '?' using a greedy and invariant approach.
Stone Game IX
In the Stone Game IX problem, Alice and Bob take turns removing stones, and Alice wins if the sum of removed stones is d…
Remove Colored Pieces if Both Neighbors are the Same Color
Alice and Bob play a game removing colored pieces; Alice wins if she makes the last valid move.
Find the Winning Player in Coin Game
In this game between Alice and Bob, players must pick coins summing to 115. Alice starts, and the goal is to determine t…
Vowels Game in a String
Solve the Vowels Game in a String using optimal moves and string analysis to predict the winner efficiently and accurate…
Maximum Number of Moves to Kill All Pawns
Calculate the maximum number of moves to eliminate all pawns using BFS, bitmasking, and precise array position math effi…