SudokuSolver Forum

Cngratulations Richard!, I knew it wouldn't take long to take the lead...
And as Glyn pointed out, you solved also some "ambiguity" in the sorting, it is NOT easy to imagine how those romans understood "order" but Matt seems to have some Roman blood ancesters
Your turn now to post next one

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Nothing can both be and not be

Just to make time, while Richard warms up and prepares his "challenge"
a couple of paragraphs from the entry in http://en.wikipedia.org/wiki/Roman_numerals

Although the Roman numerals are now written with letters of the Roman alphabet, they were originally independent symbols. The Etruscans, for example, used I Λ X ⋔ 8 ⊕ for I V X L C M, of which only I and X happened to be letters in their alphabet. One folk etymology has it that the V represented a hand, and that the X was made by placing two Vs on top of each other, one inverted. However, the Etrusco-Roman numerals actually appear to derive from notches on tally sticks, which continued to be used by Italian and Dalmatian shepherds into the 19th century.

Thus I descends not from the letter I but from a notch scored across the stick. Every fifth notch was double cut (i.e. ⋀, ⋁, ⋋, ⋌, etc.), and every tenth was cross cut (X), IIIIΛIIIIXIIIIΛIIIIXII…, much like European tally marks today. This produced a positional system: Eight on a counting stick was eight tallies, IIIIΛIII, or the eighth of a longer series of tallies; either way, it could be abbreviated ΛIII (or VIII), as the existence of a Λ implies four prior notches. By extension, eighteen was the eighth tally after the first ten, which could be abbreviated X, and so was XΛIII. Likewise, number four on the stick was the I-notch that could be felt just before the cut of the Λ (V), so it could be written as either IIII or IΛ (IV). Thus the system was neither additive nor subtractive in its conception, but ordinal. When the tallies were transferred to writing, the marks were easily identified with the existing Roman letters I, V, X.

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Nothing can both be and not be

I'm laughing so hard reading that line... You wouldn't make that comment if you knew my origin...

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ADYFNC HJPLI BVSM GgK Oa m

Is this going to be a future teaser?

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I have 81 brain cells left, I think.

OK ladies and gents

You've had it too easy up to now . . . is this senidenary check sum correct? If so, why? If not, why not?

314086807350

[BTW - I haven't seen any takers yet for my numerical crossword The Paddock]

I take it "senidenary" means "hexadecimal". Here is the number in other bases:

DEC: 54153204233040
OCT: 1424020640071520
BIN: 1100010100000010000110100000000111001101010000

Is it relevant that the decimal representation has only the digits 0..5?


I've saved it and had a few brief looks but it seems to be a major homework for a long holiday.

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ADYFNC HJPLI BVSM GgK Oa m

Correct
. . . assuming the original is in hexadecimal . . .
The puzzle is consistent with the others in this thread in the span of digits covered

I know nothing about any of this - but from reading Wiki, I think this is a virus/tamper check.
And the number given may have been effected by a virus.
As I said, I don't understand any of this. But, according to here
http://www.paulschou.com/tools/xlate/

Also tried

Hmmm. How important is virus?

Cheers
Ed

314086807350

Assuming this is in decimal base, converting it into hexadecimal base:

(HEX) 4921085736

The digits 0..9 each appear once.

No idea about the "check sum" technical bit though...

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ADYFNC HJPLI BVSM GgK Oa m

Now we're getting somewhere . . .

Not strictly a check sum - more a check sequence