Editorial for WC '18 Contest 3 J1 - An Honest Day's Work

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With $P$ ~P~ litres of paint and each badge requiring $B$ ~B~ litres of it, James will produce $\lfloor \frac P B \rfloor$ ~\lfloor \frac P B \rfloor~ badges. There will be $P - \lfloor \frac P B \rfloor \times B$ litres of paint left over, which is equivalent to $P \bmod B$ ~P \bmod B~ (the remainder when $P$ ~P~ is divided by $B$ ~B~, written as the % operator in most programming languages). Therefore, the number of Pokédollars made will be $\lfloor \frac P B \rfloor \times D + (P \bmod B)$ .

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