If the initial sizes of the groups are a, b, c, d and e, then, after the first four transfers, just before the final transfer, the numbers would be:
a-b, 2b-c, 2c-d, 2d-e, 2e
Then, after the final transfer:
2(a-b), 2b-c, 2c-d, 2d-e, 2e-a+b
However, I can't get from the set of equations where each of these values are equal, anything other than all the variables equal to zero.
Posted by Charlie
on 2012-02-26 13:19:46