code: def test_partitions():
      assert [npartitions(k) for k in range(13)] == [
          1,
          1,
          2,
          3,
          5,
          7,
          11,
          15,
          22,
          30,
          42,
          56,
          77,
      ]
      assert npartitions(100) == 190569292
      assert npartitions(200) == 3972999029388
      assert npartitions(1000) == 24061467864032622473692149727991
      assert npartitions(1001) == 25032297938763929621013218349796
      assert (
          npartitions(2000)
          == 4720819175619413888601432406799959512200344166
      )
      assert npartitions(10000) % 10**10 == 6916435144
      assert npartitions(100000) % 10**10 == 9421098519
  
label_desc: Use image node_id 1 for calling a global function with example usage: test_partitions() without return types