3222. Find the Winning Player in Coin Game using JavaScript

Problem

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

Solution

First attempt : Time complexity O(n)

/**
 * @param {number} x
 * @param {number} y
 * @return {string}
 */
var losingPlayer = function(x, y) {
    let turn = "Bob"; 
    while(y > 3 && x > 0){
            x--;
            y = y-4;
           if(turn == "Alice"){
            turn = "Bob"
           }
           else{
            turn = "Alice"
           }
    }
    return turn;
};