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Algorithms & data structures

Classic patterns — search, sort, stacks, queues, and practical complexity-aware code.

3 matches
Algorithms & data structures easy

Find k Closest Points to Origin in Python

Sorts a list of (x, y) point tuples by their Euclidean distance from the origin and returns the k nearest points.

sorting euclidean-distance geometry
Python
import math

def k_closest(points, k):
    points.sort(key=lambda p: math.sqrt(p[0]**2 + p[1]**2))
    return points[:k]

if __name__ == "__main__":
    points = [(1, 2), (3, 4), (-1, 0), (5, 5), (0, 1)]
    k = 3
    result = k_closest(points, k)
    print(f"Original points: {points}")
    print(f"K closest points (k…
12 0 Open
Algorithms & data structures easy

How to Compute Cosine Similarity Between Two Vectors in Python

This code calculates the cosine similarity between two numeric vectors using the dot product and Euclidean norms, returning a value between -1 and 1.

cosine similarity vectors math
Python
import math

def cosine_similarity(vec_a, vec_b):
    if len(vec_a) != len(vec_b):
        raise ValueError("Vectors must have the same length")
    
    dot_product = sum(a * b for a, b in zip(vec_a, vec_b))
    norm_a = math.sqrt(sum(a * a for a in vec_a))
    norm_b = math.sqrt(sum(b * b for b in vec_b))
    
    i…
14 0 Open
Algorithms & data structures easy

Pair Elements with Next Cyclic Neighbor in Python

Create tuples pairing every element with its next element, wrapping around to the first element for the last one.

pairs cyclic list
Python
def cyclic_pairs(lst):
    if not lst:
        return []
    return [(lst[i], lst[(i + 1) % len(lst)]) for i in range(len(lst))]


if __name__ == "__main__":
    sample = [1, 2, 3, 4, 5]
    result = cyclic_pairs(sample)
    print(result)
14 0 Open

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