Solution of buckets and tank problem

I've seen this problem in 4th grade exersize book: fill the tank with 4 liters of water using 3-liter and 5-liter buckets.
We could employ computer and solve it using brute force approach - by checking all available variants. Here is the calculator.

Solution of buckets and tank problem

First bucket size

Second bucket size

Tank volume

Search depth (number of actions)

Calculate

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Search depth limits the outputted solutions to certain number of actions (otherwise you can get many repetitions)