code: def backward(self, inputs, grads):
      xp = backend.get_array_module(*inputs)
  
      c_prev, x, c, gc, gh = inputs
      ggc_prev, ggx = grads
      batch = len(x)
  
      gc_is_none = gc is None
      gh_is_none = gh is None
      ggc_prev_is_none = ggc_prev is None
      ggx_is_none = ggx is None
  
      if gc_is_none:
          gc = 0
      if gh_is_none:
          gh = 0
      if ggc_prev_is_none:
          ggc_prev = 0
      if ggx_is_none:
          ggx = 0
  
      gc_prev = xp.empty_like(c_prev)
      gx = xp.empty_like(x)
      gc_next = xp.empty_like(c)
      ggc = xp.empty_like(c_prev)
      ggh = xp.empty_like(c[:batch])
  
      gc_prev[batch:] = 0
      gc_next[batch:] = 0
      ggc[batch:] = 0 if ggc_prev_is_none else ggc_prev[batch:]
      ggh[batch:] = 0
  
      c_prev = c_prev[:batch]
      c = c[:batch]
      if not gc_is_none:
          gc = gc[:batch]
      if not ggc_prev_is_none:
          ggc_prev = ggc_prev[:batch]
      if not ggx_is_none:
          ggx = ggx[:batch]
  
      a, i, f, o = _extract_gates(x)
      if not ggx_is_none:
          gga, ggi, ggf, ggo = _extract_gates(ggx)
      else:
          gga = 0
          ggi = 0
          ggf = 0
          ggo = 0
      ga, gi, gf, go = _extract_gates(gx)
  
      lstm_grad_grad(
          c_prev,
          a,
          i,
          f,
          o,
          c,
          gc,
          gh,
          ggc_prev,
          gga,
          ggi,
          ggf,
          ggo,
          gc_prev[:batch],
          ga[:],
          gi[:],
          gf[:],
          go[:],
          gc_next[:batch],
          ggc[:batch],
          ggh[:batch],
      )
  
      if gc_is_none:
          ggc = None
      if gh_is_none:
          ggh = None
  
      return gc_prev, gx, gc_next, ggc, ggh
  
imports: import numpy
  import six
  import chainer
  from chainer import backend
  from chainer.backends import cuda
  from chainer.backends import intel64
  from chainer import function
  from chainer import function_node
  from chainer.utils import type_check
  import chainerx
label_desc: Use image node_id 2 for calling the LSTMGrad obj's underlying member method code with example usage: obj.backward(inputs, grads) and returns: gc_prev,  gx,  gc_next,  ggc,  ggh