The respective number of "i"s and "o"s in any given word is denoted by I and O.

o (1)(a) Determine the longest common English word/words having the maximum value of Ι/Ο
o (1)(b) Determine the longest common English word/words having the minimum value of Ι/Ο
o (1)(c) Determine the longest common English word/words with Ι=Ο

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

Notes

• The valid word/words must have at least one "i" and at least one "o".
• No abbreviations/acronyms/slangs and no hyphenated words like A-Bomb, X-ray etc.