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Chef has allocated himself a budget of $P$ rupees to buy Diwali crackers. There are only $3$ types of crackers available in the market and each type of cracker can be bought any number of times. 1. Fuljhari, where each costs $a$ rupees 2. Anar, where each costs $b$ rupees 3. Chakri, where each costs $c$ rupees The crackers have the following interesting properties:- - A Fuljhari can be lit on it