Code RoomPrime factorization with sieve
MediumPrep Room Coding #1196

Prime factorization with sieve

CodingAlgorithms & data structuresMid–Senior~25 min

Given an integer n (2 <= n <= 200000), factorize it into its prime factors using a precomputed smallest-prime-factor (SPF) sieve, and return the list of [prime, exponent] pairs sorted by ascending prime. For example 360 = 2^3 * 3^2 * 5 returns [[2,3],[3,2],[5,1]].

Implement
factorize_spf(n: int) → list[list[int]]
Examples
in[360]out[[2,3],[3,2],[5,1]]
What a strong answer looks like

State your approach and its time/space complexity out loud before you optimize. Handle the edge cases (empty input, duplicates, overflow), and say why you chose this over the brute force. Green tests are the floor, not the grade.

0:00 of about 25 min
InputExpectedGot
[360][[2,3],[3,2],[5,1]]not run yetsample