The lucky wheel of math below has twelve sections.
Each of these sections contains a different number from 1 to 10;
the remaining two sections contain stars.
From the clues below, determine the layout of the lucky wheel.
CLUES:
- The five even numbers appear in order counterclockwise, though not
necessarily in consecutive sections.
- The numbers 1 and 3 are adjacent to the section that is directly opposite from the number 2.
The number 7 is directly between two sections with numbers totaling seven.
- Two numbers are adjacent to, in a clockwise direction, their respective
square roots (if the number is in one section, you go clockwise to get to its
square root).
- No two adjacent sections have numbers totaling more than twelve.