nim-game.js

// You are playing the following Nim Game with your friend: There is a heap of stones on the table, each time one of you take turns to remove 1 to 3 stones. The one who removes the last stone will be the winner. You will take the first turn to remove the stones.
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// Both of you are very clever and have optimal strategies for the game. Write a function to determine whether you can win the game given the number of stones in the heap.
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// For example, if there are 4 stones in the heap, then you will never win the game: no matter 1, 2, or 3 stones you remove, the last stone will always be removed by your friend.
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//   If there are 5 stones in the heap, could you figure out a way to remove the stones such that you will always be the winner? 
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// Credits:Special thanks to @jianchao.li.fighter for adding this problem and creating all test cases.


/**
 * @param {number} n
 * @return {boolean}
 */
var canWinNim = function(n) {
    return n % 4 !== 0;
};