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DSA · Theory

Introduction to Monotonic Stacks

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Theory

600/810

Introduction to Monotonic Stacks

Monotonic Stacks (introduction) is simple if you keep it on paper. Amit uses it for marks stored somehow in a viva board.

Monotonic Stacks (introduction) on the board: array vs list vs hash — one line each. Then say what marks stored somehow looks like after.

Monotonic Stacks (introduction) exists so Amit can keep marks stored somehow correct in a viva board.

Use Monotonic Stacks (introduction) when marks stored somehow must stay clear. If a simpler DSA step works, use that instead.

If marks stored somehow breaks under Monotonic Stacks (introduction), check reciting names with no cost first.

Place Monotonic Stacks (introduction) next to nearby DSA work — array vs list vs hash — one line each is the link.

One breath for Monotonic Stacks (introduction), then marks stored somehow, then reciting names with no cost. Sit down.

Exam tip

For Monotonic Stacks (introduction): definition + a viva board + one failure.

Example

# Introduction to Monotonic Stacks
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)

Introduction to Monotonic Stacks: dry-run [4, 1, 3]. Say the list after one step.

Short notes

  • DefMonotonic Stacks (introduction) — Amit uses it for marks stored somehow in a viva board.
  • RuleMonotonic Stacks (introduction) → array vs list vs hash — one line each.
  • RememberMonotonic Stacks (introduction) + time vs memory (a viva board).
  • UseMonotonic Stacks (introduction) in a viva board (marks stored somehow).
  • TrapMonotonic Stacks (introduction) — reciting names with no cost.
  • ExMonotonic Stacks (introduction) → marks stored somehow.

Questions

1

Amit asks: why does Monotonic Stacks (introduction) exist? Use marks stored somehow.

2

When would Amit actually reach for Monotonic Stacks (introduction)?

3

How do you catch reciting names with no cost?

4

Write the smallest Monotonic Stacks (introduction) step on marks stored somehow. What happens?

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