〜っこない is a casual, emphatic way to say "no way" or "impossible" — stronger than できない.
Strong denial - Absolutely impossible
Emphatic impossibility - Can''t possibly happen
There''s no way I can do that!
Very casual/colloquial. Don''t use in formal situations.
Verb ます-stem + っこない
- できっこない (no way I can)
- 分かりっこない (no way I''d understand)
Very casual — spoken language only
Strong emphasis — stronger than just ない
There's no way I can solve such a difficult problem.
There's no way I can beat him.
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