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comp / comp.lang.python / Problem: VIER and NEUN are 4-digit squares

Subject: Problem: VIER and NEUN are 4-digit squares
From: HenHanna
Newsgroups: comp.lang.python
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Date: Tue, 11 Jun 2024 23:53 UTC

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From: HenHanna@devnull.tb (HenHanna)
Newsgroups: comp.lang.python
Subject: Problem: VIER and NEUN are 4-digit squares
Date: Tue, 11 Jun 2024 16:53:35 -0700
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> 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.

it's kinda cute that (for solving by a Human)
the names (VIER,NEUN) can act as Hints.

___________________________________________________________
i wrote Python code that gives me a partial solution.

a Dictionary's default printed output is Not too Great

{'1': 'n', '5': 'e', '2': 'u'} {'4': 'v', '3': 'i', '5': 'e', '6': 'r'}
{'1': 'n', '5': 'e', '2': 'u'} {'7': 'v', '0': 'i', '5': 'e', '6': 'r'}

I'd prefer:
(1=n, 5=e, 2=u) (4=v, 3=i, 5=e, 6=r)
(1=n, 5=e, 2=u) (7=v, 0=i, 5=e, 6=r)

Subject	Author
Problem: VIER and NEUN are 4-digit squares	HenHanna