optimalAmountIn for two xy=k AMMs/pools #3
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For a successful arbitrage between two pools following the equation xy = k, factors such as slippage, reserves, and amountIn must be take into account. Arbitrary inputs will not yield the expected results when the reserves and fee parameters differ between the two pools. Here is how you can derive an optimalAmountIn for that. Same approach can be extended to any AMMs, not only classical xy=k ones.