레이팅 미적용You are writing a paper for the Beta Astronomy Physics Conference about your recent discovery on grey holes. One of your collaborators has performed a huge number of measurements, which you would like to analyse in order to draw some conclusions. The only problem is: the data is measured in a wide variety of units, and to your disgust, they appear to use a mix of the imperial and metric systems. To simplify your analysis, you need to convert all these measurements into a different unit.
The input consists of:
- One line with two integers \(n\) and \(q\) (\(1\leq n\leq 100\), \(1\leq q\leq 10\,000\)), the number of unit conversion equations and the number of queries to answer.
- \(n\) lines, each defining a unit conversion in the format "1
- \(q\) lines, each with a query in the format "
In these formats, "
For every query, output the value of the requested unit, or "impossible" if the query cannot be answered.
Your answers should have a relative error of at most \(10^{-6}\).
4 3
1 foot = 12 inch
1 yard = 3 foot
1 meter = 100 centimeter
1 centimeter = 10 millimeter
750 millimeter to meter
42 yard to inch
10 meter to foot
0.75
1512
impossible
4 3
1 fortnight = 14 day
1 microcentury = 0.036525 day
1 microcentury = 1000 nanocentury
1 week = 7 day
22.2 fortnight to nanocentury
2.5 nanocentury to week
3.14 day to fortnight
8509240.2464065708427
1.3044642857142857142e-05
0.22428571428571428572
10 2
1 micrometer = 1000 nanometer
1 millimeter = 1000 micrometer
1 meter = 1000 millimeter
1 kilometer = 1000 meter
1 megameter = 1000 kilometer
1 lightsecond = 299.792458 meter
1 lightminute = 60 lightsecond
1 lighthour = 60 lightminute
1 lightday = 24 lighthour
1 lightyear = 365.25 lightday
42 nanometer to lightyear
42 lightyear to nanometer
4.439403502903384947e-18
3.9735067984839359997e+20