Logic Masters Deutschland e.V.

!

(Eingestellt am 20. März 2022, 14:40 Uhr von RockyRoer)

Teaser Question:

This puzzle is much easier if you try to do it without a calculator. This question will help you get going in the right direction.

How many zeroes are at the end of 400!

(recall 400! = 400*399*398*...*3*2*1)

The Rules:

  1. Normal sudoku rules apply.
  2. The numbers in each cage cannot repeat, and must multiply to some factorial number. The totals must be determined by the solver. Recall the factorial numbers are the following:
    • 1! = 1
    • 2! = 2
    • 3! = 6
    • 4! = 24
    • 5! = 120
    • 6! = 720
    • 7! = 5040
    • 8! = 40320
    • 9! = 362880
    Be careful, while 4! is defined as 4x3x2x1 -- it is also equivalent to 4x6 or 3x8, so a cage could be satisfied with either of those.

The Puzzle:

Link to f-puzzles Link to CTC-App

Lösungscode: The number of zeroes at the end of 400! followed by the digits in column 5 from top to bottom.


Gelöst von kolot, Arashdeep Singh, DVFrank, mathpesto, Playmaker6174, SudokuExplorer, bigger, Jesper, Christounet, twobear, SKORP17, Lara Croft, galgamer, universe42, Nylimb, Vebby, SXH, yangduoxing
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Kommentare

am 18. April 2022, 19:52 Uhr von Hausigel_mod
Added label for Online solving tool

am 22. März 2022, 05:43 Uhr von twobear
Very nice puzzle! I kind of underestimated the puzzle after seeing all the comments prior to my solve... closer to 3.5 stars for me :p

Zuletzt geändert am 22. März 2022, 01:16 Uhr

am 22. März 2022, 01:09 Uhr von Christounet
Nice puzzle ! Took me nearly as much time to do the puzzle as to figure out the number of zeros at the end of 400!

Reply: ha ha! Sorry? Not really… Hope you learned something. I am a math teacher after all. Posted a blog post on this question a few years ago, if anyone is interested: http://rockyroer.blogspot.com/2013/04/how-big-number-is-400.html I had forgotten it until I googled it myself and discovered my own article. Lol.

am 21. März 2022, 16:23 Uhr von SudokuExplorer
Fun and fairly easy puzzle, thanks! :-)

am 21. März 2022, 15:58 Uhr von Playmaker6174
A very fun and neat solve once I wrapped my mind in completely, quite funny how the solve turned out :}

am 21. März 2022, 14:40 Uhr von mathpesto
Very impressive setting and such an enjoyable solve! I loved the minimalism of the grid and the many deductions I was able to make throughout!

am 20. März 2022, 18:52 Uhr von DVFrank
What a great puzzle! Thanks for setting this! :^)

am 20. März 2022, 15:43 Uhr von kolot
Perfectly designed puzzle. Not too hard for me, 2.5~3 stars ;-)

Schwierigkeit:4
Bewertung:88 %
Gelöst:18 mal
Beobachtet:2 mal
ID:0009F2

Rätselvariante Online-Solving-Tool

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Lösungscode:

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