A measurement of the $CP$ asymmetries $S_{f}$ and $S_{bar{f}}$ in $B^0to D^{mp}pi^{pm}$ decays is reported. The decays are reconstructed in a dataset collected with the LHCb experiment in proton-proton collisions at centre-of-mass energies of 7 and 8 TeV and corresponding to an integrated luminosity of $3.0 rm{ fb}^{-1}$. The $CP$ asymmetries are measured to be $S_{f} = 0.058 pm 0.020 (rm{stat}) pm 0.011(rm{syst})$ and $S_{bar{f}} = 0.038pm 0.020 (text{stat})pm 0.007 (text{syst})$. These results are in agreement with, and more precise than, previous determinations. They are used to constrain $|sinleft(2beta+gammaright)|$ and $gamma$ to intervals that are consistent with the current world-average values.
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