code: def pairwise_linestring_intersection(
      linestrings1: "GeoSeries", linestrings2: "GeoSeries"
  ):
      """
      Compute the intersection of two GeoSeries of linestrings.
  
      Note
      ----
      The result contains an index list and a GeoSeries and is interpreted
      as `List<Union>`. This is a temporary workaround until cuDF supports union
      column.
  
      Parameters
      ----------
      linestrings1 : GeoSeries
          A GeoSeries of linestrings.
      linestrings2 : GeoSeries
          A GeoSeries of linestrings.
  
      Returns
      -------
      Tuple[cudf.Series, GeoSeries, DataFrame]
          A tuple of three elements:
          - An integral cuDF series of offsets to each intersection result in the
            GeoSeries.
          - A Geoseries of the results of the intersection.
          - A DataFrame of the ids of the linestrings and segments that
            the intersection results came from.
      """
  
      from cuspatial.core.geoseries import GeoSeries
  
      if len(linestrings1) == 0 and len(linestrings2) == 0:
          return (
              cudf.Series([0]),
              GeoSeries([]),
              cudf.DataFrame(
                  {
                      "lhs_linestring_id": [],
                      "lhs_segment_id": [],
                      "rhs_linestring_id": [],
                      "rhs_segment_id": [],
                  }
              ),
          )
  
      if any(
          not contains_only_linestrings(s)
          for s in [linestrings1, linestrings2]
      ):
          raise ValueError(
              "Input GeoSeries must contain only linestrings."
          )
  
      geoms, look_back_ids = c_pairwise_linestring_intersection(
          linestrings1.lines.column(), linestrings2.lines.column()
      )
  
      (
          geometry_collection_offset,
          types_buffer,
          offset_buffer,
          points,
          segments,
      ) = geoms
  
      # Organize the look back ids into list column
      (
          lhs_linestring_id,
          lhs_segment_id,
          rhs_linestring_id,
          rhs_segment_id,
      ) = [
          build_list_column(
              indices=geometry_collection_offset,
              elements=id_,
              size=len(geometry_collection_offset) - 1,
          )
          for id_ in look_back_ids
      ]
  
      linestring_column = build_list_column(
          indices=as_column(range(0, len(segments) + 1), dtype="int32"),
          elements=segments,
          size=len(segments),
      )
  
      coord_dtype = points.dtype.leaf_type
  
      meta = GeoMeta(
          {"input_types": types_buffer, "union_offsets": offset_buffer}
      )
      from cuspatial.core.geoseries import GeoSeries
  
      geometries = GeoSeries(
          GeoColumn(
              (
                  cudf.Series(points),
                  cudf.Series(
                      empty_geometry_column(
                          Feature_Enum.MULTIPOINT, coord_dtype
                      )
                  ),
                  cudf.Series(linestring_column),
                  cudf.Series(
                      empty_geometry_column(
                          Feature_Enum.POLYGON, coord_dtype
                      )
                  ),
              ),
              meta,
          )
      )
  
      ids = cudf.DataFrame(
          {
              "lhs_linestring_id": lhs_linestring_id,
              "lhs_segment_id": lhs_segment_id,
              "rhs_linestring_id": rhs_linestring_id,
              "rhs_segment_id": rhs_segment_id,
          }
      )
      return geometry_collection_offset, geometries, ids
  
imports: from typing import TYPE_CHECKING
  import cudf
  from cudf.core.column import as_column, build_list_column
  from cuspatial._lib.intersection import pairwise_linestring_intersection
  from cuspatial.core._column.geocolumn import GeoColumn
  from cuspatial.core._column.geometa import Feature_Enum, GeoMeta
  from cuspatial.utils.column_utils import contains_only_linestrings, empty_geometry_column
label_desc: Use image node_id 1 for calling a global function with example usage: pairwise_linestring_intersection(linestrings1, linestrings2) and returns: geometry_collection_offset,  geometries,  ids, cudf,  GeoSeries,  cudf