c4countdown

The following picture below shows the time 07:19 as displayed on some 24-hour LCD clocks:



Now if you add the numbers together you get 17 (0+7+1+9) and if you add the segments together you get 17 again (6+3+2+6) (also 09:17, 17:09 and 19:07 total 17 as well).

There is a total of 50 times from 00:00 - 23:59 (including the 4 mentioned above) where the numbers on the display total the number of segments used. For the purpose of this puzzle, this is how the numbers would look:



How any of the remaining 46 times can you find? So this puzzle lasts a few days, please only post a maximum of 5 times that you have found

Found them all in under an hour using a systematic method which I can't be bothered to explain as I'm going to watch some live Countdown tomorrow so need to be up early. Will do the first 5 chronologically! That will save the others some time!

The following "sum of digits = number of segments" times take place between midnight and 11am. Events occur in real time

07:19 (0+7+1+9)=(6+3+2+6)=17
07:37 (0+7+3+7)=(6+3+5+3)=17
09:17 (0+9+1+7)=(6+6+2+3)=17
09:49 (0+9+4+9)=(6+6+4+6)=22
09:59 (0+9+5+9)=(6+6+5+6)=23

The first and 3rd happen to be in Josephs example but I thought I'd keep it chronological.

Starter's tip: Notice 4, 5 and 6 are made of 4, 5 and 6 segments respectively so are interchangeable (except you cant put a 6 in the 10s of minutes position)

They are the first 5 Dinos . It's now roughly been a week since I started this puzzle off and I don't think anyone else is going to find any other times, so you might as well post the answers Dinos and your method (if you want)

Meh cant be bothered typing out the other 45 times tbh but basically my method was first to write down each digit 1-9 and the number of segments that make it and the difference between the two eg

Digits Segments Difference
0 6 +6
1 2 +1
2 5 +3
3 5 +2
4 4 0
5 5 0
6 6 0
7 3 -4
8 7 -1
9 6 -3

For each valid time the total of the 4 digit-segment differences must equal zero, then I went through each hour to find possible minute digit combinations.

eg for 00:XX the segments - digits difference for the first 2 numbers = 6 + 6 - 0 - 0 = 12 so the remaining digits must have a total difference of -12 for which there are no possibilities. Also obviously each combination must be valid on the 24hr clock eg you can't have 01:79.

There are the 50 times that you should have Dinos

07:19, 07:37, 09:17, 09:49, 09:59, 11:19, 11:37, 12:47, 12:57, 13:17,
13:49, 13:59, 14:27, 14:39, 14:48, 14:58, 15:27, 15:39, 15:48, 15:58,
16:27, 16:39, 16:48, 16:58, 17:09, 17:13, 17:24, 17:25, 17:26, 17:31,
17:42, 17:52, 18:18, 18:29, 18:44, 18:45, 18:46, 18:54, 18:55, 18:56,
19:07, 19:11, 19:28, 19:34, 19:35, 19:36, 19:43, 19:53, 21:47, 21:57.