Let the line \( L_1 : x + 3 = 0 \) intersect the lines \( L_2 : x - y = 0 \) and \( L_3 : 3x + y = 0 \) at the points \( A \) and \( B \), respectively. Let the bisector of the obtuse angle between the lines \( L_2 \) and \( L_3 \) intersect the line \( L_1 \) at the point \( C \). Then \( BC^2 : AC^2 \) is equal to:
