A formula of dimonds price is C=am^2, m - is a dimond's mass, a - is a constant number independent of diamond's mass. So the dimond is cut into two pieces.
1. Find a ratio of the masses of those two pieces, when the sum of the prices of these two pieces equals 5/9 of a whole uncut dimond price.
2. What is a ratio of the masses of those two pieces, when the sum of the prices of these two pieces is lowest?