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.
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.
On 6/12/2024 8:07 AM, Barry Schwarz wrote:
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?)
i've been wondering... This was a nice exercise in Python programming,
but can a (average) human solver comfortably enjoy solving it?
On 13/06/24 16:52, HenHanna wrote:
On 6/12/2024 8:07 AM, Barry Schwarz wrote:
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?)
The original problem statement is easy to understand. Your restatement
of the "further requirement" is hard to understand, and I suspect it's incorrect.
i've been wondering... This was a nice exercise in Python programming,
but can a (average) human solver comfortably enjoy solving it?
I would instinctively write a computer program to solve it. I suspect, though, that I could solve it manually if I had in front of me a table
of squares of numbers from 1 to 99.
-- Can a square (number) be palindromic?
Other than 121, 12321, 1234321 .....
On Thu, 13 Jun 2024 15:10:35 -0700, HenHanna <HenHanna@devnull.tb>
wrote:
-- Can a square (number) be palindromic?
Other than 121, 12321, 1234321 .....
Why are you posting this to sci.lang and alt.usage.english?
484, 676, 10201, 14641, 40804, 44944, 69696, 94249, 698896, 1002001,
637832238736 and a whole lot more.
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