An imaginary gas company calculates the gas bills of their consumers by adding €0.2 per day to the real costs of the consumption, which consist of €0.03 per cubic metre. In addition, a tax of 8% is levied on the total amount.

Input

Three lines. The first line contains the number of consumption days ( a natural number). The second and the third line contain the meter reading in cubic metre (a decimal number), respectively measured at the beginning an the end of the billing period.

Output

The amount to be paid in euros.

Example

Input:

404
14.147
30.456

Output:

87.7924116