This weeks puzzle

This weeks puzzle

Posers and Puzzles

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Joined
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15 Jun 20

@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

Dave

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15 Jun 20

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.

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15 Jun 20

@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

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@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

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16 Jun 20

@wolfgang59 said
Was a clue to my puzzle;
D=3
E=4
ED = 107
DE = 82

What equals 10923?


A further clue: Z=25
QED

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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?
PIZZA!!! [yum]

Dave

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20 Jun 20

This weeks "Times2 puzzle is a waste of time again.
Not even worth posting I'm afraid

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@bigdoggproblem said
Well done BigDog.

The answer is indeed
QED


The reason
conversion from base 10 to base 26

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22 Jun 20

Have you tried https://chesscup.org 🤔

Dave

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12 Jul 20

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

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@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

R
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1 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.

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12 Jul 20

Solution:

172 times


I'll explain my reasoning later, to give others a chance to solve it.

Dave

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13 Jul 20

@BigDoggProblem
You have the correct answer.
Well done!!

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1 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