You have a block of platinum that can be exchanged in your bank either for cash
or for smaller blocks of platinum. If you exchange a block of m grams, you get
three blocks of weight m/2, m/3 and m/4 grams each. You don't get any fractional
part, as the division process rounds down the value. If you exchange the block of
platinum for cash, you get m units of currency. You can do any number of
exchanges for smaller blocks or currency.
Given the value of a block in grams as input, write a program that would print the
largest possible currency value that you can receive as the output. Assume that
the maximum value of a block that can be given as an input is 1,000,000,000
grams and the minimum value is 2 grams.
Sample input 1
12
Sample output 1
13
Explanation: You can change 12 into blocks of 12/2 = 6, 12/3 = 4 and 12/4 = 3,
and then exchange these for 6 + 4 + 3 = 13 units of currency
13
Sample input 2 2
Sample output 2 2
Explanation: If you exchange 2 grams into smaller blocks, it gives 2/2 =

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