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DSA · Theory

Assign directions to edges so that the directed graph remains acyclic

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Theory

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Assign directions to edges so that the directed graph remains acyclic

Assign directions to edges so that the directed graph remains acyclic (alt) sits in a city map. Rohit’s job is bus routes. Write that first.

Keep Assign directions to edges so that the directed graph remains acyclic (alt) small. Rohit should finish bus routes in a few lines, not a 40-line dump.

Assign directions to edges so that the directed graph remains acyclic (alt) exists so Rohit can keep bus routes correct in a city map.

Use Assign directions to edges so that the directed graph remains acyclic (alt) when bus routes must stay clear. If a simpler DSA step works, use that instead.

If bus routes breaks under Assign directions to edges so that the directed graph remains acyclic (alt), check no visited set → infinite loop first.

After Assign directions to edges so that the directed graph remains acyclic (alt), Rohit should still remember no visited set → infinite loop.

One breath for Assign directions to edges so that the directed graph remains acyclic (alt), then bus routes, then no visited set → infinite loop. Sit down.

Exam tip

Board: bus routes. Dry-run Assign directions to edges so that the directed graph remains acyclic (alt). Name the trap: no visited set → infinite loop.

Example

# adjacency list
graph = {
    "A": [("B", 2), ("C", 5)],
    "B": [("A", 2), ("C", 1)],
    "C": [("A", 5), ("B", 1)],
}
for u, edges in graph.items():
    print(u, "->", edges)

Assign directions to edges so that the directed graph remains acyclic (alt) — graphs are often stored as adjacency lists: vertex → list of (neighbor, weight).

Short notes

  • DefAssign directions to edges so that the directed graph remains acyclic (alt) — Rohit uses it for bus routes in a city map.
  • RuleAssign directions to edges so that the directed graph remains acyclic (alt) → BFS queue / DFS stack.
  • RememberAssign directions to edges so that the directed graph remains acyclic (alt) + time vs memory (a city map).
  • UseAssign directions to edges so that the directed graph remains acyclic (alt) in a city map (bus routes).
  • TrapAssign directions to edges so that the directed graph remains acyclic (alt) — no visited set → infinite loop.
  • ExAssign directions to edges so that the directed graph remains acyclic (alt) → bus routes.

Questions

1

In one breath: what does Assign directions to edges so that the directed graph remains acyclic (alt) do for Rohit?

2

If you skip Assign directions to edges so that the directed graph remains acyclic (alt), what breaks in a city map?

3

Which mistake makes bus routes fail?

4

Write the smallest Assign directions to edges so that the directed graph remains acyclic (alt) step on bus routes. What happens?

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