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If Liberated Livestock's ability causes more than the expected number of tokens to be created (due to an effect such as that of Doubling Season), you may put an Aura card from your hand and/or graveyard onto the battlefield attached to each of the additional tokens as well

However, the true power of Inventive Iteration comes from the creature on the back: Living Breakthrough

Krark's Other Thumb provides a buff for dice-rolling cards, allowing you to roll two dice instead and choosing the result