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DSA · Theory

Eulerian and Hamiltonian path

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Theory

550/810

Eulerian and Hamiltonian path

Asha only reaches for Eulerian and Hamiltonian path when Eulerian and Hamiltonian path on Asha's board has to stay correct in a small live site.

Do Eulerian and Hamiltonian path once by hand. one Eulerian and Hamiltonian path step Asha can write from memory. Change one input. Say the new result out loud.

Eulerian and Hamiltonian path exists so Asha can keep Eulerian and Hamiltonian path on Asha's board correct in a small live site.

Eulerian and Hamiltonian path shows up in a small live site. Name Eulerian and Hamiltonian path on Asha's board, not “a real-world scenario”.

If Eulerian and Hamiltonian path on Asha's board breaks under Eulerian and Hamiltonian path, check skipping the failure case for Eulerian and Hamiltonian path first.

Place Eulerian and Hamiltonian path next to nearby DSA work — one Eulerian and Hamiltonian path step Asha can write from memory is the link.

Close Eulerian and Hamiltonian path with: “If I skip it, Eulerian and Hamiltonian path on Asha's board goes wrong like this: skipping the failure case for Eulerian and Hamiltonian path.”

Exam tip

Say Eulerian and Hamiltonian path in one breath, then one Eulerian and Hamiltonian path step Asha can write from memory, then skipping the failure case for Eulerian and Hamiltonian path.

Example

# Eulerian and Hamiltonian path
data = [4, 1, 3]
print("start", data)
if data[0] > data[1]:
    data[0], data[1] = data[1], data[0]
print("after one step", data)

Eulerian and Hamiltonian path: dry-run [4, 1, 3]. Say the list after one step.

Short notes

  • DefEulerian and Hamiltonian path — Asha uses it for Eulerian and Hamiltonian path on Asha's board in a small live site.
  • RuleEulerian and Hamiltonian path → one Eulerian and Hamiltonian path step Asha can write from memory.
  • RememberEulerian and Hamiltonian path + a dry-run table (a small live site).
  • UseEulerian and Hamiltonian path in a small live site (Eulerian and Hamiltonian path on Asha's board).
  • TrapEulerian and Hamiltonian path — skipping the failure case for Eulerian and Hamiltonian path.
  • ExEulerian and Hamiltonian path → Eulerian and Hamiltonian path on Asha's board.

Questions

1

What is Eulerian and Hamiltonian path? Teach it with Eulerian and Hamiltonian path on Asha's board.

2

Name one DSA screen/job that needs Eulerian and Hamiltonian path.

3

Which mistake makes Eulerian and Hamiltonian path on Asha's board fail?

4

Show Eulerian and Hamiltonian path in a dry-run table terms — three lines max.

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