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We obtain constraints on parameters of the Yukawa-type corrections toNewton's gravitational law from measurements of the gradient of the Casimirforce between surfaces coated with ferromagnetic metal Ni and from measurementsof the Casimir force between Au-coated sinusoidally corrugated surfaces atvarious angles between corrugations. It is shown that constraints followingfrom the experiment with magnetic surfaces are slightly weaker than currentlyavailable strongest constraints, but benefit from increased reliability andindependence of systematic effects.The constraints derived from the experimentwith corrugated surfaces within the interaction region from 11.6 to 29.2\,nmare stronger up to a factor of 4 than the strongest constraints derived fromother experiments. The possibility of further strengthening of constraints onnon-Newtonian gravity by using the configurations with corrugated boundaries isproposed.

Constraints on corrections to Newtonian gravity from two recent measurements of the Casimir interaction between metallic surfaces