You have to file two separate returns.
One of you (usually the person with the higher income and considered as paying more than half of the costs of keeping up a home) will file as Head of Household and claim at least one child.
The other person will file as Single and claim the other children.
You can simulate to see if the Head of Household claiming all children with the other person claiming no child will give a better result. But remember that the Head of Household must claim at least one child.
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