.
/a\
..
/b\c/d\
...
/e\f/g\h/i\
....

 Can you place the numbers 19 in the locations ai on the triangle, such
that every row of 5 smaller triangles (there are 3: abcef, acdhi, efghi)
has the same sum? How many different sums are possible?
 Can you place the numbers 19 in the locations ai on the triangle,
such that the six rows (three of 5 triangles, three of 3 triangles)
have different sums? Consecutive sums?
