3222. Find the Winning Player in Coin Game
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You are given two positive integers x and y, denoting the number of coins with values 75 and 10 respectively.
Alice and Bob are playing a game. Each turn, starting with Alice, the player must pick up coins with a total value 115. If the player is unable to do so, they lose the game.
Return the name of the player who wins the game if both players play optimally.
Example 1:
Input: x = 2, y = 7
Output: "Alice"
Explanation:
The game ends in a single turn:
- Alice picks 1 coin with a value of 75 and 4 coins with a value of 10.
Example 2:
Input: x = 4, y = 11
Output: "Bob"
Explanation:
The game ends in 2 turns:
- Alice picks 1 coin with a value of 75 and 4 coins with a value of 10.
- Bob picks 1 coin with a value of 75 and 4 coins with a value of 10.
Constraints:
1 <= x, y <= 100
Hints
Hint 1
The only way to make 115 is to use one coin of value 75 and four coins of value 10. Each turn uses up these many coins.
Hint 2
Hence the number of turns is
min(x, y / 4).Hint 3
Determine the winner from its parity.