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We show a new diagrammatic representation of tree-level wavefunction coefficients for gluons in four-dimensional de Sitter space at any multiplicity. Its ``disc diagrams" make the cutting rule manifest, while the remaining contact term is fixed by the absence of folded singularities. We determine this term for configurations with zero, one and two negative-helicity gluons. It simplifies as more gluons share a helicity, and it vanishes for all-plus. We illustrate the expansion at four and five points, attach explicit results up to eight points all-plus, and relate it to Grassmannian residues.

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