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*Y-X-Y+1.
The procedure is repeated until a single number Z(say) remains on the board.
Determine the possible values of Z.
(In reply to
a sampling of 500 at random by Charlie)
If the process starts at the left and continues to the right at each step of the way, the results are
81286165137705819192432328 / 244977040951739008680100275 ~= 0.3318113600438147358
If the process starts at the right and continues to the left at each step of the way, the results are the integer
-281474976710655
with replacement of the random selection by
for r=97 to 1 step -1
if used(r) = 0 then cancel for: goto 90
next
and variation for the forward direction (1 to 97) and use of line number 130 for the second selected number.
Edited on March 20, 2016, 10:31 am
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Posted by Charlie
on 2016-03-20 10:26:59 |
Two special results
