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    15 Jun '20 13:12
    @venda

    I gave up, Venda, as I am not sure how you label a number that is beyond 675 (I think that is ZZ)

    Also not sure why 4 isn't AE, instead of just E
  2. Subscribervenda
    Dave
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    15 Jun '20 14:13
    Pondies solution makes more sense than mine.
    All I did was split the 10923 into 10,9 and 23 and applied the -1 which was consistent with D=3 and E=4
    Let's see what Wolfie says.
  3. Standard memberwolfgang59
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    15 Jun '20 23:03
    @ponderable said
    OBG?

    So we have the Problem that the row starts with A=0 going to z=25
    AA is 26 AAA is 726 (26 times AA)

    If we distrubute the 1093 in the 26 System we get 33*726+1*26+7 So we have the 33rd letter (O) one run of the Alphabet (B) and the 8th letter of the Alphabet since A=0
    You are correct; A=0

    AA = 00 not 26
  4. Standard memberwolfgang59
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    15 Jun '20 23:04
    @blood-on-the-tracks said
    @venda

    I gave up, Venda, as I am not sure how you label a number that is beyond 675 (I think that is ZZ)

    Also not sure why 4 isn't AE, instead of just E
    AE = 04 = 4 = E
  5. Standard memberBigDogg
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    @wolfgang59 said
    Was a clue to my puzzle;
    D=3
    E=4
    ED = 107
    DE = 82

    What equals 10923?


    A further clue: Z=25
    Reveal Hidden Content
    QED
  6. Standard memberBigDogg
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    @wolfgang59 said
    And finally;
    If I have a circular piece of dough of radius Z and depth A, what is its volume when it comes out the oven?
    Reveal Hidden Content
    PIZZA!!! [yum]
  7. Subscribervenda
    Dave
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    20 Jun '20 19:18
    This weeks "Times2 puzzle is a waste of time again.
    Not even worth posting I'm afraid
  8. Standard memberwolfgang59
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    @bigdoggproblem said
    Well done BigDog.

    The answer is indeed Reveal Hidden Content
    QED


    The reason Reveal Hidden Content
    conversion from base 10 to base 26
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    Have you tried https://chesscup.org 🤔
  10. Subscribervenda
    Dave
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    12 Jul '20 13:09
    A 24 hour digital clock shows each digit using a 7 segment display.The digits 0-9 use 6,2,5,5,4,5,6,3,7,6 segments respectively.Starting from 00:00, how many times a day does the display change but still have the same total number of segments in use?
    Good luck.
    I don't even understand the question!!
    There are no typo's -I've checked it 3 times
  11. Standard memberBigDogg
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    12 Jul '20 19:57
    @venda said
    A 24 hour digital clock shows each digit using a 7 segment display.The digits 0-9 use 6,2,5,5,4,5,6,3,7,6 segments respectively.Starting from 00:00, how many times a day does the display change but still have the same total number of segments in use?
    Good luck.
    I don't even understand the question!!
    There are no typo's -I've checked it 3 times
    This is a 7-segment display:

    http://www.mynewsdesk.com/cn/blog_posts/seven-segment-display-operation-by-using-atmega32-and-cd4511b-57730
  12. R
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    12 Jul '20 20:221 edit
    @venda said
    A 24 hour digital clock shows each digit using a 7 segment display.The digits 0-9 use 6,2,5,5,4,5,6,3,7,6 segments respectively.Starting from 00:00, how many times a day does the display change but still have the same total number of segments in use?
    Good luck.
    I don't even understand the question!!
    There are no typo's -I've checked it 3 times
    The segments are the "line segments" that light up to make the digit. You can make every digit from 0-9 from the line segments that are used to make the digit "8".

    What I think they mean is how many times there is a change that preserves the number of segments in use prior to it.

    00:00 - 24
    00:01 - 20
    00:02 - 23
    00:03 - 23
    .
    .
    .
    23:58 - 22
    23:59 - 21
    24:00 - 21

    So either find a pattern, or write a code to check all 24*60 = 1440 instances. That's my take on it.
  13. Standard memberBigDogg
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    12 Jul '20 20:45
    Solution:

    Reveal Hidden Content
    172 times


    I'll explain my reasoning later, to give others a chance to solve it.
  14. Subscribervenda
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    @BigDoggProblem
    You have the correct answer.
    Well done!!
  15. Standard memberBigDogg
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    14 Jul '20 08:231 edit
    @venda said
    @BigDoggProblem
    You have the correct answer.
    Well done!!

    A 24 hour digital clock shows each digit using a 7 segment display.The digits 0-9 use 6,2,5,5,4,5,6,3,7,6 segments respectively.Starting from 00:00, how many times a day does the display change but still have the same total number of segments in use?
    Good luck.
    I don't even understand the question!!
    There are no typo's -I've checked it 3 times


    My solution:

    Net change in segments for each possible digit change:
    0 to 1: -4
    1 to 2: +3
    2 to 3: 0
    3 to 4: -1
    4 to 5: +1
    5 to 6: +1
    6 to 7: -3
    7 to 8: +4
    8 to 9: -1
    9 to 0: 0
    5 to 0: +1 [thanks, Babylonians!]

    There are several different types of time change that do not change the total number of segments.

    I) the least significant digit changes from 2 to 3
    This happens six times every hour [..02 to ..03, ..13 to ..23, ..., ..52 to ..53].
    6 x 24 = 144

    II) changes involving ...9 to ...0
    This causes the tens digit to change also. The only change that works is ..29 to ..30. It happens once per hour.
    1 x 24 = 24

    III) changes involving ..59 to ..00
    There are exactly four that work.
    0359 to 0400; 0859 to 0900; 1359 to 1400; 1859 to 1900

    Answer: 144 + 24 + 4 = 172

    I verified my answer using Python. For those interested in coding: https://repl.it/repls/FloweryChiefResource
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