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Prime Number Check

Decide whether a number is prime.

Problem

A prime number is greater than 1 and divisible only by 1 and itself. Checking divisors up to the square root of n is enough.

Implement is_prime(n).

Input

n: The number to test.

Output

Return true if n is prime, otherwise false.

Constraints

-1,000 ≤ n ≤ 1,000,000,000,000

Examples

Example 1
Input:
n = 29

Expected output:
expected = True
Input:
long long n = 29;

Expected output:
bool expected = true;
Input:
long n = 29;

Expected output:
bool expected = true;

Explanation

29 has no divisors other than 1 and 29.

Example 2
Input:
n = 21

Expected output:
expected = False
Input:
long long n = 21;

Expected output:
bool expected = false;
Input:
long n = 21;

Expected output:
bool expected = false;

Explanation

21 = 3 × 7, so it is not prime.

References

This challenge is adapted for CodeUtility. Follow the statement and constraints above.

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