After a certain time, all the red dots were aligned, disc A being in the same position that it was 2 minutes after the discs started to spin, disc B being in the same position that it was 3 minutes after the discs started to spin, disc C being in the same position that it was 4 minutes after the discs started to spin, disc D being in the same position that it was 7 minutes after the discs started to spin, and disc E being the same position that it was 9 minutes after the discs started to spin
After a certain time, all the red dots were aligned.
Conclusion: There was an alignment.
Disc A being in the same position that it was 2 minutes after the discs started to spin.
Conclusion: So when the aligned position happened, Disk A was in the same position that it was 2 minutes after start. THAT'S THE ONLY POINT, WHERE DISK A CAN ALIGN, LIES!
Here's the most important conclusion:
NOW WE KNOW THE ALIGNMENT POINTS!
Disk A = 2 min after start
Disk B = 3 min after start
Disk C = 4 min after start
Disk D = 7 min after start
Disk E = 9 min after start
Another conclusion: These discs can only reach their alignment position after they completed a full 360° turn. There is no way in hell that Disk B can reach it's alignment position, which it reaches after 3 min of spinning, again in under 6 min, because the angular velocity of Disk B is 360/13 [°/min] ~27.7° per minute...
But the questions makes it clear that the dots were not aligned. Hence, your answer is incorrect. Do you really think it took over a year for the dots to be aligned for the first time
They were not in full alignment, meaning not all the dots were in line, nevertheless each disk reached, at their corresponding times, their individual alignment position, the only position, where alignment with the other disks is possible. And these times were measured AFTER the mechanism started to move.. these disks just surpassed their alignment points after 2,3,4,5,7,9 minutes, doesn't mean that every point was in line then.
This is not a problem that can be solved with computer algorithms if you don't start with the right axioms for the solution.
It can be solved by algorithms... so many mathematical theses have been proven by numerical methods... google calculates much harder linear algebraic problems with its page ranking system almost instantly...etc.
Why do you think that a computer cannot simulate 5 disks, with velocities and fixed alignment points?
You constantly emphasize the FIRST alignment that happened, and that cephissus and I did not calculate the FIRST alignment... so would you agree that I calculated the time, the second alignment happened, correctly? Because the third alignment, if we can trust my computer's and cephissus computer's calculations, happened 1'153'896 minutes after start... that just shows how small the probability is of this event happening frequently e.g. each day or even month.