The application of "Noip Training" "Law + Number Theory" Euler function

Problem 1

"The main topic"

Give the

Multiple sets of data, given in order to find out.

Solving

Proof: In addition to think that all are even, so the number of coprime is paired.

It's up to you.

So for each pair and for, there is a common pair.

The

Problem 2

"The main topic"

Write on the first circle, write on the second circle, and then each time on the basis of the previous circle, write their and each of the two numbers, defined as the number I in the I circle.

Give, Beg.

Exercises

Proof: The number in the circle is adjacent to 22 coprime.

For a number it is possible to add only two numbers that are coprime to him and each of these constructs is unique.

So.

The application of "Noip Training" "Law + Number Theory" Euler function