The 97 rational numbers 49/1, 49/2, 49/3, ..., 49/97 are written on a blackboard.
Two of the above numbers X and Y are chosen and replaced by X*YXY+1.
The procedure is repeated until a single number Z(say) remains on the board.
Determine the possible values of Z.
(In reply to
solution for 4 elements only by Charlie)
To compare the results with a common denominator, each of the outputs from the 4element simplification was multiplied by 24. After sorting the results were
4638732
4641696
4642284
4645935
4648336
4651104
4651888
4655808
4656690
4660708
4660904
4663011
4663305
4665412
4665510
each to be understood as that numerator over a denominator of 24.
They are in the same neighborhood, but they are not evenly spaced.

Posted by Charlie
on 20160323 14:52:58 