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The country of Hyperia has its problems. In particular, inflation is out of control. You have been flown in to take up a contract at the central bank.

1. Print bank note denominations

To simplify administration internally the central bank has split each denomination into parts, a base that remains relatively unchanged, and a multiplier (the same for all denominations) which can be changed yearly or weekly or even daily.

When printed the denominations on bank notes are the product of base and multiplier.

By the time this system was introduced the minimum bank note already had a denomination of 10,000,000. The table below shows the position (for the first 3 denominations) when the system was first introduced. Things have got much worse since then and not only does the multiplier change so does the base.

Base Multiplier Denomination
10,000 1,000 10,000,000
50,000 1,000 50,000,000
100,000 1,000 100,000,000
... 1,000 ...

In summary, this means that denomination = base * multiplier.

Please implement the method CentralBank.DisplayDenomination() which takes the base and multiplier and returns a string of their product (base * multiplier). The numeric string returned should not be formatted.

If the multiplication operation causes an overflow then the string, "*** Too Big ***", should be returned.

CentralBank.DisplayDenomination(10000L, 1000L);
// => "10000000"
CentralBank.DisplayDenomination(long.MaxValue / 2, 10000L);
// => "*** Too Big ***"

2. Display GDP for Hyperia

The central bank uses the same multiplier approach to recording GDP internally. Statistics are recorded in a base denomination and then scaled up using the multiplier.

Please implement the method CentralBank.DisplayGDP() which takes the base GDP and the current multiplier and returns the GDP as a string.

If the GDP cannot be calculated then "*** Too Big ***" is returned.

CentralBank.DisplayGDP(555f, 10000f);
// => "555000000"
CentralBank.DisplayGDP(float.MaxValue / 2, 10000f);
// => "*** Too Big ***"

3. Display Chief Economist's salary

Your boss at the bank wants to make sure there will be no problems at payroll time.

Implement the CentralBank.DisplayChiefEconomistSalary() method that takes a salary expressed in base units (as above) and a multiplier and returns a string containing the product.

If the salary cannot be calculated then "*** Much Too Big ***" is returned.

CentralBank.DisplayChiefEconomistSalary(555000m, 10000m);
// => "5550000000"
CentralBank.DisplayChiefEconomistSalary(555000m, decimal.MaxValue / 2L);
// => "*** Much Too Big ***"