Question

ПОМОГИТЕ ПОЖАЛУЙСТА, ПИТОН!!! Циклы. Задача 1.6 Два простых числа, разнящихся на 2, называются "близнецами". Дано натуральное число N. Определить, являются ли числа, находящиеся по обе стороны от N, "близнецами". Формат входных данных Во входном файле записано N(3≤N≤100000). Формат выходных данных Вывести в выходной файл Yes или No в зависимости от ответа на задачу. ДАЮ 30 БАЛЛОВ!!!

Answer 1

def isPrime(x):

   i = 2

   while i * i <= x:

       if x % i == 0:

           return False

   return True

n = int(input())

if isPrime(n - 1) and isPrime(n + 1):

   print("YES")

else:

   print("NO")

Answer 2

To solve this problem, we need to determine if there are two prime numbers that differ by 2 on both sides of a given natural number N. Here's how we can approach this:

Step 1: Understanding the Problem

We are given a natural number N and we need to determine if there exist two prime numbers that differ by 2 on both sides of N.

Step 2: Approach

To solve this problem, we can follow these steps: 1. Check if N-2 and N+2 are prime numbers. 2. If both N-2 and N+2 are prime numbers, then the numbers on both sides of N are "twins" or "близнецами". 3. If either N-2 or N+2 is not a prime number, then the numbers on both sides of N are not "twins" or "близнецами".

Step 3: Implementation

Here's a Python code implementation that solves this problem:

def is_prime(n):
    if n <= 1:
        return False
    for i in range(2, int(n**0.5) + 1):
        if n % i == 0:
            return False
    return True

def are_twins(n):
    if is_prime(n-2) and is_prime(n+2):
        return "Yes"
    else:
        return "No"

# Read input from file
with open("input.txt", "r") as file:
    n = int(file.readline())

# Write output to file
with open("output.txt", "w") as file:
    file.write(are_twins(n))

Step 4: Testing

To test the code, you can create an input file named "input.txt" and write a single line containing the value of N. For example, if N is 5, the content of "input.txt" would be: ``` 5 ``` After running the code, the output will be written to the "output.txt" file. If the numbers on both sides of N are "twins" or "близнецами", the content of "output.txt" will be "Yes". Otherwise, it will be "No".

Step 5: Complexity Analysis

The time complexity of this solution is O(sqrt(N)) because we iterate up to the square root of N to check if a number is prime. The space complexity is O(1) as we only use a constant amount of additional space.

I hope this helps you solve the problem! Let me know if you have any further questions.