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Contests/LeetCode/Weekly Contest 408/3233. Find the Count of Numbers Which Are Not Special
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Weekly Contest 408

3233. Find the Count of Numbers Which Are Not Special

MathNumber TheoryPrefix Sum
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Problem Statement

Official algorithmic problem description and constraints.

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You are given 2 positive integers l and r. For any number x, all positive divisors of x except x are called the proper divisors of x.

A number is called special if it has exactly 2 proper divisors. For example:

  • The number 4 is special because it has proper divisors 1 and 2.
  • The number 6 is not special because it has proper divisors 1, 2, and 3.

Return the count of numbers in the range [l, r] that are not special.

 

Example 1:

Input: l = 5, r = 7

Output: 3

Explanation:

There are no special numbers in the range [5, 7].

Example 2:

Input: l = 4, r = 16

Output: 11

Explanation:

The special numbers in the range [4, 16] are 4 and 9.

 

Constraints:

  • 1 <= l <= r <= 109


Solutions & Walkthrough

Detailed video explanations, mathematical intuition, and clean C++ implementation code.

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