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Iwasaki Pupil is in play and I bid 1 in the draw phase for cards, then play contingency plan to reduce my bid to 0 to draw 0 cards. Does Iwasaki Pupil increase my card draw to the minimum of 1?

No. Contingency Plan reduces your bid to 0, so you would draw 0 cards. As Iwasaki Pupil cannot reduce drawing 0 cards, its text does not apply.

[Tyler Parrott, Apr 24 2019]