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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def phiME_dens(R,z,phi,dens,Sigma,dSigmadR,d2SigmadR2,hz,Hz,dHzdz,Sigma_amp):
 """The density corresponding to phi_ME"""

    r= numpy.sqrt(R**2.+z**2.)
    out= dens(R,z,phi)
    for a,s,ds,d2s,h,H,dH \
            in zip(Sigma_amp,Sigma,dSigmadR,d2SigmadR2,hz,Hz,dHzdz):
        out-= a*(s(r)*h(z)+d2s(r)*H(z)+2./r*ds(r)*(H(z)+z*dH(z)))
    return out