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We search for CP violation in a sample of 20000 Cabibbo-suppressed decays,$D^+\rightarrow K^+K^0_S\pi^+\pi^-$, and 30000 Cabibbo-favored decays,$D_s^+\rightarrow K^+K^0_S\pi^+\pi^-$. We use 520 $fb^{-1}$ of data recorded bythe BaBar detector at the PEP-II asymmetric-energy $e^+e^-$ collider operatingat center of mass energies near 10.6 $GeV$. We search for CP violation in thedifference between the $T$-odd asymmetries obtained using triple productcorrelations of the $D^+$ ($D_s^+$) and $D^-$ ($D_s^-$) decays, respectively.The $T$ violation parameter values obtained are $\mathcal{A}_T(D^+) = (-12.0\pm 10.0_{stat} \pm 4.6_{syst})\times 10^{-3}$ and $\mathcal{A}_T(D_s^+) =(-13.6 \pm 7.7_{stat} \pm 3.4_{syst}) \times10^{-3}$, which are consistent withthe standard model expectations.

Search for CP violation using $T$-odd correlations in $D^+\rightarrow K^+K^0_S\pi^+\pi^-$ and $D_s^+\rightarrow K^+ K^0_S\pi^+\pi^-$ decays