### Problem Statement

You've deposited amount dollars into a bank account. The interest rate is annualInterest percent per year, and it is compounded monthly. This means that at the end of each month, the total balance increases by annualInterest/12 percent, and after that the balance is rounded down to the integer number of cents. Return the minimum number of months required to obtain at least profit dollars in profit.

### Definition

 Class: DepositProfit Method: depositTerm Parameters: int, int, int Returns: int Method signature: int depositTerm(int amount, int annualInterest, int profit) (be sure your method is public)

### Notes

-The monthly interest is calculated as (current deposit amount) * (annual interest rate in percent) / (100*12).

### Constraints

-amount will be between 10 and 10000, inclusive.
-annualInterest will be between 4 and 24, inclusive.
-profit will be between 1 and amount, inclusive.

### Examples

0)

 `1000` `12` `20`
`Returns: 2`
 The monthly interest rate is 1%. At the end of the first month, the interest added is 1000*0.01 = 10, for a new total balance of 1010. At the end of the second month, the interest added is 1010*0.01 = 10.10, for a total balance of 1020.10. At this point, the profit is 20.10, which is greater than 20.
1)

 `10` `4` `10`
`Returns: 236`
2)

 `5000` `24` `4000`
`Returns: 30`
3)

 `1000` `6` `5`
`Returns: 1`
 The monthly interest rate is 0.5%. At the end of the first month, the interest added is equal to the profit wanted.
4)

 `8238` `12` `5176`
`Returns: 49`
5)

 `10` `4` `1`
`Returns: 34`
 At the end of the first month, the interest added is approximately 3.33 cents. At the end of the 34-th month, the interest added is approximately 3.67 cents. Both these interests are rounded down to 3 cents.

#### Problem url:

http://www.topcoder.com/stat?c=problem_statement&pm=8313

#### Problem stats url:

http://www.topcoder.com/tc?module=ProblemDetail&rd=10809&pm=8313

Nickolas

#### Testers:

PabloGilberto , Olexiy , ivan_metelsky

Math