Alice and Bob are playing a game called “Stone Game”. Stone game is a two-player game. Let N be the total number of stones. In each turn, a player can remove 1, 2 or 3 stones. The player who picks the last stone, loses. They follow the “Ladies First” norm. Hence Alice is always the one to make the first move. Your task is to find out whether Alice can win, if both play the game optimally.

Can any one give the idea to solve it.Thanks in advance.