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We present a preliminary study of $B^- \to D^0_{CP} \pi^-$ and $B^- \toD^0_{CP} K^-$ decays, with the $D^0_{CP}$ reconstructed in the CP-oddeigenstates $K_s \pi^0$, $K_s \omega$, in the CP-even eigenstates $K^+ K^-$,$\pi^+ \pi^-$, and in the (non-CP) flavor eigenstate $K^\mp \pi^\pm$. Using asample of about 382 million Y(4S) decays into BBbar pairs, collected with theBABAR detector operating at the PEP-II asymmetric-energy B Factory at SLAC, wemeasure the ratios of the branching fractions R_CP+- and the direct CPasymmetries A_CP+-. The results are:  R_CP- = 0.81 \pm 0.10 (stat) \pm 0.05 (syst)  R_CP+ = 1.07 \pm 0.10 (stat) \pm 0.04 (syst)  A_CP- = -0.19 \pm 0.12 (stat) \pm 0.02 (syst)  A_CP+ = 0.35 \pm 0.09 (stat) \pm 0.05 (syst)

Measurement of branching fraction and CP asymmetries in B->D0(cp)K decays