Question

Ваня выписал на заборе все числа от 1 до 100 , а даня вычел все их из числа 160 , и записал все результаты в новой строчки . сколько чисел на заборе оказалось записано дважды

Answer 1

100-1=99
160-99=61
99+61=160

Answer 2

Problem Analysis

Vanya wrote down all the numbers from 1 to 100 on a fence, and Danya subtracted all of them from the number 160 and wrote down the results on separate lines. We need to determine how many numbers on the fence were written down twice.

Solution

To solve this problem, we can simulate the process and keep track of the numbers that are written down. We will subtract each number from 160 and store the results in a set. If a number is already in the set, it means it has been written down twice.

Here's the step-by-step solution: 1. Initialize an empty set to store the results. 2. Iterate over the numbers from 1 to 100. - Subtract each number from 160. - If the result is already in the set, it means the number has been written down twice. Skip to the next iteration. - Otherwise, add the result to the set. 3. The size of the set at the end will give us the count of numbers that were written down twice.

Let's implement this solution in code:

def count_numbers_written_twice():
    results = set()
    for number in range(1, 101):
        result = 160 - number
        if result in results:
            continue
        results.add(result)
    return len(results)

twice_written_count = count_numbers_written_twice()
print(twice_written_count)

The output of this code will be the count of numbers that were written down twice on the fence.

Answer

The number of numbers on the fence that were written down twice is {{twice_written_count}}.