Across Tetrahedron A B C D has base \triangle B C D which is an equilateral triangle with side length 2. A B=A C=3 and A D=4. Let M be the centroid of tetrahedron A B C D and N be the centroid of \triangle B C D. Write \frac{A N}{A M}=\frac{p}{q}, where p and q are relatively prime integers. You are to submit the concatenation of p and q.