<｜begin▁of▁sentence｜>### Instruction:
Given a directed acyclic graph (DAG) with nodes 0, 1, and 2, where the edges have weights (0 to 1 with weight 1, 1 to 2 with weight 1, and 0 to 2 with weight 42), how can the `dag_longest_path` function be used to find the longest path in the graph, taking into account both the case where weights are considered and where they are not? Additionally, how does specifying a topological order affect the result?
### Response:
import networkx as nx

# Create a Directed Acyclic Graph (DAG)
DG = nx.DiGraph()
# Add weighted edges
DG.add_weighted_edges_from([(0, 1, 1), (1, 2, 1), (0, 2, 42)])

# Find the longest path without specifying weight (uses default edge weight=1)
longest_path_default = nx.dag_longest_path(DG)
print('Longest path without specific weight:', longest_path_default)

# Find the longest path using the 'weight' attribute
longest_path_weighted = nx.dag_longest_path(DG, weight='weight')
print('Longest path using edge weights:', longest_path_weighted)

# Example where we specify a topological order
specified_topo_order = [0, 2, 1]
longest_path_topo_order = nx.dag_longest_path(DG, topo_order=specified_topo_order)
print('Longest path with specified topological order:', longest_path_topo_order)
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