Great walkthrough! One assumption to check: you equate “total ways to form X” with the integer partition problem, which assumes unlimited coins and order-agnostic combinations. But vending machines usually solve the min-coin variant, and some tasks count sequences (order matters). Could you clarify which variant you target and how your loop order ensures combinations (not permutations) and unlimited supply?
Great walkthrough! One assumption to check: you equate “total ways to form X” with the integer partition problem, which assumes unlimited coins and order-agnostic combinations. But vending machines usually solve the min-coin variant, and some tasks count sequences (order matters). Could you clarify which variant you target and how your loop order ensures combinations (not permutations) and unlimited supply?
Thank you for pointing out mistakes in my assumption.
My original goal was to understand how Integral Partition implemented in Computer.
I didn't know much about it's variant (min-coin variant) which vending machine use.
I have assumed permutation not permutation and also with unlimited supply of coins as I have done "coin change 2" variant under coin change.
I have Also made seperate post on understanding difference.
Please check it out:
dev.to/ganesh-kumar/the-difference...