Code RoomPrime count up to n
MediumPrep Room Coding #1401

Prime count up to n

CodingAlgorithms & data structuresMid–Senior~20 min

Return the number of prime numbers less than or equal to n (the prime-counting function pi(n)), for n up to 10^6. Per-number trial division is too slow; build a Sieve of Eratosthenes once and count the survivors. Return 0 for n < 2.

Implement
count_primes(n: int) → int
Examples
in[10]out4
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 20 min
InputExpectedGot
[10]4not run yetsample