The respective number of 'e's and 'a's in any given word is denoted by ε and α.

o (1)(a) Determine the longest common English word/words having the maximum value of ε/α
o   (1)(b) Determine the longest common English word/words having the minimum value of ε/α
o   (1)(c) Determine the longest common English word/words where ε=α

o  (2) Extend (1) to cover the case of esoteric/archaic words.

Notes:

• The valid word/words must have at least one 'e' and at least one 'a'.
• No abbreviations/acronyms/slangs and no hyphenated words like A-Bomb, X-Ray etc.