Problem A: Roaming Romans ------------------------- The English word "mile" derives from the Latin "mille passus", meaning "thousand paces." A Roman mile was the distance a soldier would walk in 100 paces (a pace being two steps, one with each foot). Over time, the actual distance referred to as a "mile" has changed. The modern English mile is 5280 (modern) feet. The Roman mile is believed to have been about 4,854 (modern) feet. Write a program to convert distances in English miles into Roman miles and paces. Input ----- Input will consist of one or more lines, each containing a single positive floating point number denoting a distance in English miles. End of input is indicated by a value of 0.0. Output ------ For each input value, print a line of output of the form X English miles equals Y Roman miles or K paces. where X is the value from the input, Y is the equivalent distance in Roman miles. Each of these should be printed to 2 decimal digits precision. K is an integer denoting the number of paces, and should be rounded to the closest integer. Sample input ------------ 1.0 20.267 454 0.0 Sample output ------------- 1.00 English miles equals 1.09 Roman miles or 109 paces. 20.27 English miles equals 22.05 Roman miles or 2205 paces. 454.00 English miles equals 493.84 Roman miles or 49384 paces.