code: def test_many_branches_use_ndependencies(abcde):
      """From https://github.com/dask/dask/pull/5646#issuecomment-562700533
  
      Sometimes we need larger or wider DAGs to test behavior.  This test
      ensures we choose the branch with more work twice in successtion.
      This is important, because ``order`` may search along dependencies
      and then along dependents.
  
      """
      a, b, c, d, e = abcde
      dd = d + d
      ee = e + e
      dsk = {
          (a, 0): 0,
          (a, 1): (f, (a, 0)),
          (a, 2): (f, (a, 1)),
          (b, 1): (f, (a, 0)),
          (b, 2): (f, (b, 1)),
          (c, 1): (f, (a, 0)),  # most short and thin; should go last
          (d, 1): (f, (a, 0)),
          (d, 2): (f, (d, 1)),
          (dd, 1): (f, (a, 0)),
          (dd, 2): (f, (dd, 1)),
          (dd, 3): (f, (d, 2), (dd, 2)),
          (e, 1): (f, (a, 0)),
          (e, 2): (f, (e, 1)),
          (ee, 1): (f, (a, 0)),
          (ee, 2): (f, (ee, 1)),
          (ee, 3): (f, (e, 2), (ee, 2)),
          (a, 3): (f, (a, 2), (b, 2), (c, 1), (dd, 3), (ee, 3)),
      }
      o = order(dsk)
      assert_topological_sort(dsk, o)
      # run all d's and e's first
      expected = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
      actual = sorted(
          v for (letter, _), v in o.items() if letter in {d, dd, e, ee}
      )
      assert actual == expected
      assert o[(c, 1)] == o[(a, 3)] - 1
  
imports: from __future__ import annotations
  import inspect
  import pytest
  import dask
  from dask import delayed
  from dask.base import collections_to_dsk, key_split, visualize_dsk
  from dask.core import get_deps
  from dask.order import _connecting_to_roots, diagnostics, ndependencies, order
  from dask.utils_test import add, inc
label_desc: Use image node_id 27 for calling a global function with example usage: test_many_branches_use_ndependencies(abcde) without return types