Re: VIER and NEUN are 4-digit squares ---- (JFK's "myth)

On Tue, 11 Jun 2024 14:34:14 -0700, HenHanna <HenHanna@devnull.tb>
wrote:

VIER and NEUN represent 4-digit squares, each letter denoting a
distinct digit. You are asked to find the value of each, given the
further requirement that each uniquely determines the other.
>
The "further requirement" means that of the numerous pairs of
answers, choose the one in which each number only appears once
in all of the pairs.
>
                      -------- Is this easy to understand?
                               (What the problem is asking?)
>
%   Problem: VIER and NEUN are 4-digit squares; determine distinct V, I,
%   E, R, N, and U, such that there is a unique solution (VIER,NEUN) for
%   some particular E.
>
                       --------  Ok.. that makes more sense.

While there are 15 solutions for the six variables, only when E=4 is
the solution unique: 6241 and 9409.

While E=6 and E=5 both have multiple solutions, N=1 produces the only
other unique pair: 7569 and 1681.

E=5 has two solutions.

E=6 and N=4 has five solutions.  E=6 and N=5 has six solutions.

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