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We show that cosmic acceleration can arise due to very tiny corrections to the usual gravitational action of General Relativity of the form , with . This eliminates the need for dark energy, though it does not address the cosmological constant problem. Since a modification to the Einstein-Hilbert action of the form , with , can lead to early-time inflation, our proposal provides a unified and purely gravitational origin for the early and late time accelerating phases of the Universe.

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