I have five stacks of three blocks. I can join two stacks together, or split a stack.
How many splits and joins do I need to do to end up with three stacks of five blocks?

Follow

@christianp

4 joins 2 splits one way:
3 3 3 3 3
-> 6 3 3 3
-> 5 1 3 3 3
-> 5 4 3 3
-> 5 7 3
-> 5 5 2 3
-> 5 5 5

4 joins 2 splits another way:
3 3 3 3 3
-> 6 3 3 3
-> 9 3 3
-> 12 3
-> 15
-> 10 5
-> 5 5 5

4 joins 2 splits a third way:
3 3 3 3 3
-> 6 3 3 3
-> 5 1 3 3 3
-> 5 1 6 3
-> 5 1 5 1 3
-> 5 5 2 3
-> 5 5 5

don't have the time at the moment to generalize but i did not expect to get the same thing from three different approaches

Sign in to participate in the conversation
Plural Café

Plural Café is a community for plural systems and plural-friendly singlets alike, that hopes to foster a safe place for finding and interacting with other systems in the Mastodon fediverse.