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You can’t just add the balances and expect it to amount to the same as the spend. Consider this: you spend 0, 0, 0, 50. Your balances are 50, 50, 50, 0. Adding up the balances you get 150. What does this mean? Absolutely nothing.
You can’t just add the balances and expect it to amount to the same as the spend. Consider this: you spend 0, 0, 0, 50. Your balances are 50, 50, 50, 0. Adding up the balances you get 150. What does this mean? Absolutely nothing.
Maybe 1, 1, 1 -> 49, 48, 47 is a better example though. But same thing.
I wanted to keep it simple and avoid a factorial sum. My example also shows that the remainder sum goes up even when nothing is spent.
“I am your father’s brother’s nephew’s cousin’s former roommate”
“What’s that make us?”