We present new preliminary DANSS results based on 3.5 million Inverse Beta Decay (IBD) events collected at 3 distances (10.9 m, 11.9 m, and 12.9 m) from the detector center to the reactor core center. The detector position is changed typically 3 times a week. Therefore many systematic uncertainties are canceled out. A new analysis that uses information about relative IBD counting rates in addition to changes in positron energy spectra shapes is employed. The excluded area covers a very interesting range of the sterile neutrino parameters up to $sin^2 2theta_{ee} < 0.008$ in the most sensitive region. No statistically significant evidence for sterile neutrinos is observed. The significance of the best-fit point in the 4$ u$ case is 1.5$sigma$
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