Skip to content
Discussion options

You must be logged in to vote

We need to determine the number of valid pairs (x, y) where x represents the number of flowers in the first lane and y represents the number of flowers in the second lane. The conditions are that Alice wins the game, and x and y must be within the ranges [1, n] and [1, m] respectively.

Approach

  1. Problem Analysis: The game involves two players, Alice and Bob, taking turns to pick flowers from either lane. Alice wins if the total number of moves (i.e., the sum of flowers from both lanes) is odd. This is because Alice starts first, and if the total moves are odd, she will make the last move, winning the game.
  2. Key Insight: For Alice to win, the sum x + y must be odd. This means that if x is e…

Replies: 1 comment 2 replies

Comment options

You must be logged in to vote
2 replies
@topugit
Comment options

topugit Aug 29, 2025
Collaborator

@mah-shamim
Comment options

mah-shamim Aug 29, 2025
Maintainer Author

Answer selected by topugit
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment
Category
Q&A
Labels
question Further information is requested medium Difficulty
2 participants