14. (15 points) Color each simplest fraction $\frac{\mathrm{n}}{\mathrm{m}}$ (where $m, n$ are coprime non-zero natural numbers) red or blue, following these rules:
(1) Color 1 red;
(2) Two numbers that differ by 1 have different colors,
(3) A number not equal to 1 and its reciprocal have different colors. 
What colors are $\frac{2013}{2014}$ and $\frac{2}{7}$ respectively?
【Analysis】First, analyze that 1 is red, then 2 is blue, which means odd numbers are red, and even numbers are blue. Then, based on the rule that the color of a number not equal to 1 is different from its reciprocal.

【Solution】Solution: According to the problem:

Number 2 and 1 have different colors, so number 2 is blue. According to the coloring rule, odd numbers are red, and even numbers are blue.
7 is painted red, and it is known that $\frac{1}{7}$ has a different color from 7, so $\frac{2}{7}$ is blue. 2014 is an even number, so $\frac{1}{2014}$ is painted red. $\frac{2013}{2014}$ is red. In summary, $\frac{2013}{2014}$ is red, and $\frac{2}{7}$ is blue.