Many websites offer currency conversion. So for this puzzle, the objective is to convert one currency into another.

Input Specifications

Your program must take one and only one command line argument: the input file.
The input file is formatted as follows:

1. the first line contains the number n of foreign currencies
2. the n following lines each contain a currency equivalence of the form
   rate1 currency1 = rate2 currency2
3. the next line contains the number p of conversions queries
4. the p following lines each contain a currency conversion query of the form
   amount source_currency => target_currency

Important: The Dollar is considered the default currency and is always present.

Example:

5
1 Euro = 1.4025 Dollar
2.5 Dollar = 70.5482 Ruble
0.1 Dollar = 4.448 Rupee
10 Pound = 15.909 Dollar
100 Dollar = 158.1 Real
4
10 Dollar => Euro
25 Euro => Real
100 Rupee => Ruble
5.50 Pound => Dollar

Output Specifications

You must print your output to the standard output (printf, etc...).
It should contain p lines, one for each currency conversion query giving the amount in the target currency.

Important: The output result must be printed with exactly 4 fractional digit accuracy.

For the previous example, the solution is:

7.1301
55.4338
63.4426
8.7500

Scoring

The number of points is determined by the tests that are passed. You can see in the Unit Tests section for how many percent each test success contributes to the final score.

Linked puzzles

This puzzle is part of a series, a more difficult version advancing the concepts required for this puzzle is: Money trail.