Write five non-zero natural numbers at will, and you can find two numbers, so that the difference between the two numbers is a multiple of 4. Why It should be more detailed and easy to understand

Write five non-zero natural numbers at will, and you can find two numbers, so that the difference between the two numbers is a multiple of 4. Why It should be more detailed and easy to understand

That's right. This is the drawer principle. All numbers are divided into four categories according to 4. 1. It's a multiple of 4. 2. It's a multiple of 4 plus 1. 3. It's a multiple of 4 plus 2. 4. It's a multiple of 4 plus 3. So at least two of the five numbers are of the same category. Take these two numbers and subtract them to be a multiple of 4
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