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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 encoder(nef, z_dim, batch_size, no_bias=True, fix_gamma=True, eps=1e-5 + 1e-12):
    '''The encoder is a CNN which takes 32x32 image as input
    generates the 100 dimensional shape embedding as a sample from normal distribution
    using predicted meand and variance
    '''
    BatchNorm = mx.sym.BatchNorm

    data = mx.sym.Variable('data')

    e1 = mx.sym.Convolution(data, name='enc1', kernel=(5,5), stride=(2,2), pad=(2,2), num_filter=nef, no_bias=no_bias)
    ebn1 = BatchNorm(e1, name='encbn1', fix_gamma=fix_gamma, eps=eps)
    eact1 = mx.sym.LeakyReLU(ebn1, name='encact1', act_type='leaky', slope=0.2)

    e2 = mx.sym.Convolution(eact1, name='enc2', kernel=(5,5), stride=(2,2), pad=(2,2), num_filter=nef*2, no_bias=no_bias)
    ebn2 = BatchNorm(e2, name='encbn2', fix_gamma=fix_gamma, eps=eps)
    eact2 = mx.sym.LeakyReLU(ebn2, name='encact2', act_type='leaky', slope=0.2)

    e3 = mx.sym.Convolution(eact2, name='enc3', kernel=(5,5), stride=(2,2), pad=(2,2), num_filter=nef*4, no_bias=no_bias)
    ebn3 = BatchNorm(e3, name='encbn3', fix_gamma=fix_gamma, eps=eps)
    eact3 = mx.sym.LeakyReLU(ebn3, name='encact3', act_type='leaky', slope=0.2)

    e4 = mx.sym.Convolution(eact3, name='enc4', kernel=(5,5), stride=(2,2), pad=(2,2), num_filter=nef*8, no_bias=no_bias)
    ebn4 = BatchNorm(e4, name='encbn4', fix_gamma=fix_gamma, eps=eps)
    eact4 = mx.sym.LeakyReLU(ebn4, name='encact4', act_type='leaky', slope=0.2)

    eact4 = mx.sym.Flatten(eact4)

    z_mu = mx.sym.FullyConnected(eact4, num_hidden=z_dim, name="enc_mu")
    z_lv = mx.sym.FullyConnected(eact4, num_hidden=z_dim, name="enc_lv")

    z = z_mu + mx.symbol.broadcast_mul(mx.symbol.exp(0.5*z_lv),mx.symbol.random_normal(loc=0, scale=1,shape=(batch_size,z_dim)))

    return z_mu, z_lv, z