Spoiler
More like 99.9995%
https://artofproblemsolving.com/community/c2532359h2760821_the_emoji_problem__part_i
solution:
🍎 = 36875131794129999827197811565225474825492979968971970996283137471637224634055579
🍌 = 154476802108746166441951315019919837485664325669565431700026634898253202035277999
🍍 = 4373612677928697257861252602371390152816537558161613618621437993378423467772036
The solution is easy. Blocks Community
Is this one of those problems that looks trivially easy to solve but has actually been an open problem in math for centuries and drives all who attempt it to inevitable madness?
Getting a real “Collatz” vibe from this
There is a solution. It’s just 80 digits long. I added it to the OP in the spoiler.
Rad! Are there solutions for all numbers, I wonder? Or just 4?
ETA: I found at least one solution that works for 2. (1, 1, 3)
The positive values are calories, fructose and citric acid
7, 14, 79 comes pretty close. 35, 132, 627 are even closer.
Have you tried 36875131794129999827197811565225474825492979968971970996283137471637224634055579, 154476802108746166441951315019919837485664325669565431700026634898253202035277999, 4373612677928697257861252602371390152816537558161613618621437993378423467772036?
Yes.