Write a program to play the game of Nim with the computer. To play Nim, start with 15 tokens. Each player takes from one up to a maximum of three tokens at each turn, and the player taking the last token loses. Randomly choose whether the user or the computer moves first. At start up, display all the tokens. When it is users turn, display a prompt message to ask the user to select his/her tokens. Let the user select a token with a mouse click, which should cause the token to be erased. When finished selecting tokens, the user should press the D key. Make sure the user never selecting more than three tokens. The computer should print a message stating how many tokens it chooses, and these tokens should be erased. When the game is over, display a message announcing the winner. User may press the N key to start a new Game.

You may implement an easy version. Instead of playing against the computer, two players play each other.

Help:

Using an array of bool type called cleared to hold 15 bool value and all initialized to false. Using a bool variable called turn. If turn is true means, it is first players turn otherwise it is second players turn. Every time there is a mouse click, locate the index where he/she clicked. If it is a painted square and the user has not clicked more than 3 times, set the cleared array at the index to true, call invalidate to repaint then the square will be cleared. Every time, a D key is pressed, check for winner. If there is one token left, whoever has the turn loses. If there is no token left, whoever has the turn wins. When the user pressed N key, reset all variables.

Must be written in C#

Must be modified from the exsisting program

Keep is very simple and do the 2 player version

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