DATA STRUCTURES/Student Engineering Notebook
Page 12·notes
GATE DA: PYTHON PROGRAMMING—~30 MIN READ

Python Collections: Lists, Tuples, Dictionaries & Sets

GATE 2027 DA core

“Choose a built-in collection by its operations, then trace aliasing and aggregation correctly.”

1.Prerequisites and collection choices

Prerequisites: the Python value and loop ideas from the previous lesson. If needed, revisit [Python Fundamentals](/notes/data-structures/da-python-language-fundamentals). A quick self-check: can you name the list values visited by a loop, and explain what append changes?

A list stores an ordered, mutable sequence; a tuple is an ordered, immutable sequence; a set stores unique hashable values; a dict maps unique hashable keys to values. These are built-in containers, not the same thing as the abstract data structures a course may implement manually.

For frequency counting, a dictionary is often the direct tool. For stack behavior, use append and pop at the end of a list. For FIFO queue behavior, collections.deque supports efficient appends and pops at both ends; repeatedly removing index zero from a list shifts the remaining elements.

WORKED NUMERICAL · STUDENT DERIVATION✎ Key Takeaway: State both the loop count and the expected hash-table cost assumption.

Worked example: count labels

Problem Statement:
For labels = ['a', 'b', 'a', 'c', 'b', 'a'], construct the frequency dictionary using one pass.
Step 1: Start empty

Set counts = {}.

Step 2: Update each key

For each label x, assign counts[x] = counts.get(x, 0) + 1. Missing keys start at zero.

Step 3: Read the result

After six visits, counts is {'a': 3, 'b': 2, 'c': 1}. Six expected-constant-time updates give O(n) expected work.

Final Answer:{'a': 3, 'b': 2, 'c': 1}
STUDENT PRACTICE · CONCEPT DRILL

Collection checks

Problem 1 · FOUNDATION

Which structure best represents unique course codes with fast membership checks?

Problem 2 · GATE-LEVEL

After `a=[1,2]; b=a; b.append(3)`, what is `a`?

RAPID REVIEW · NOTEBOOK SUMMARY

One-minute revision

core principle:

“Use the simplest container whose operations fit the task.”

must-remember principles:
  • •list append/pop at end: amortized O(1)
  • •list search: O(n)
  • •dict/set lookup: expected O(1), with collision assumptions
critical exam pitfalls:
  • •Aliasing mutable lists
  • •list front deletion shifts elements
  • •unhashable keys
  • •sort mutates; sorted returns a new list
SOURCE TRANSPARENCY & CITATIONS

Primary Academic References & Exam Sources

Every concept in Notes From a B.Tech Brain is synthesized from authoritative academic texts, seminal peer-reviewed research, verified exam archives, and renowned university lectures.

Primary Academic Texts
Python Tutorial (official documentation)↗by Python Software Foundation · The Python Tutorial: lists, tuples, dictionaries, sets, and looping techniques.
ACADEMIC STANDARD
RECOMMENDED YOUTUBE EDUCATORS & FULL-COURSE PLAYLISTS

Curated for clarity, rigorous numerical solving, and semester excellence:

Abdul Bari · Data Structures & Algorithms↗Instructor: Abdul Bari · Covers: Trees, graphs, hashing, sorting — with visual algorithm animations

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Gate Smashers · Data Structures Full Course↗Instructor: Varun Singla · Covers: Arrays, linked lists, trees, BST, AVL, heaps, hashing — GATE numericals

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