![1994](/media/m/2/d/8/2d8f4515607b9a9a2c705a669f7318db.png)
girls are seated at a round table. Initially one girl holds
![n](/media/m/a/e/5/ae594d7d1e46f4b979494cf8a815232b.png)
tokens. Each turn a girl who is holding more than one token passes one token to each of her neighbours.
a.) Show that if
![n < 1994](/media/m/a/2/7/a27d481f83ef9d91324aea95897c3b0c.png)
, the game must terminate.
b.) Show that if
![n = 1994](/media/m/c/c/e/cce55d6ab56e20bde80a56e34ed26e35.png)
it cannot terminate.
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$1994$ girls are seated at a round table. Initially one girl holds $n$ tokens. Each turn a girl who is holding more than one token passes one token to each of her neighbours.
a.) Show that if $n < 1994$, the game must terminate.
b.) Show that if $n = 1994$ it cannot terminate.