Is it possible to implement a non-custodial, zero-house-edge, provably fair coin toss on BCH?

Could checkdatasig be used to construct a transaction where 2 people send coins, but one of them, selected using an instant coin toss, receives all input coins?

submitted by /u/insanityzwolf
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source https://www.reddit.com/r/btc/comments/izgg2m/is_it_possible_to_implement_a_noncustodial/