DSA · Theory

Sparse Table

Theory

397/810

Sparse Table

Sparse Table is a DSA topic. In plain words you use it for a short Sparse Table example in a short dry-run on paper. Don’t start with a slogan — start with that picture.

Smallest example: the smallest Sparse Table example you can type. Type it, run it, and say what you see. If you can do that from memory, you know Sparse Table.

From the example next to this theory — Sparse Table — arrays give O(1) index access; matrices are arrays of arrays.

Trap — only saying “Sparse Table” with no example. Fix that before you talk about advanced DSA.

Viva — what is Sparse Table? Then show the smallest Sparse Table example you can type. Then name the trap.

Exam tip

What is Sparse Table? Show this: the smallest Sparse Table example you can type. Trap: only saying “Sparse Table” with no example.

Example

arr = [10, 20, 30, 40]
print(arr[2], arr[-1])
matrix = [[1, 2], [3, 4]]
print(matrix[1][0])  # 3

Sparse Table — arrays give O(1) index access; matrices are arrays of arrays.

Short notes

DefSparse Table — a short Sparse Table example in a short dry-run on paper.
Rulethe smallest Sparse Table example you can type
Traponly saying “Sparse Table” with no example
Usea short dry-run on paper

DSA · Theory

Sparse Table

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Theory

397/810

Sparse Table

Sparse Table is a DSA topic. In plain words you use it for a short Sparse Table example in a short dry-run on paper. Don’t start with a slogan — start with that picture.

Smallest example: the smallest Sparse Table example you can type. Type it, run it, and say what you see. If you can do that from memory, you know Sparse Table.

From the example next to this theory — Sparse Table — arrays give O(1) index access; matrices are arrays of arrays.

Trap — only saying “Sparse Table” with no example. Fix that before you talk about advanced DSA.

Viva — what is Sparse Table? Then show the smallest Sparse Table example you can type. Then name the trap.

Exam tip

What is Sparse Table? Show this: the smallest Sparse Table example you can type. Trap: only saying “Sparse Table” with no example.

Example

arr = [10, 20, 30, 40]
print(arr[2], arr[-1])
matrix = [[1, 2], [3, 4]]
print(matrix[1][0])  # 3

Sparse Table — arrays give O(1) index access; matrices are arrays of arrays.

Short notes

DefSparse Table — a short Sparse Table example in a short dry-run on paper.
Rulethe smallest Sparse Table example you can type
Traponly saying “Sparse Table” with no example
Usea short dry-run on paper

Sparse Table

Example

Short notes

Questions

Sparse Table

Example

Short notes

Questions