A runway longitudinal profile has three consecutive grades $g_1,g_2,$ and $g_3$ equal to $-0\mathrm{.}5\%,$

$-1\mathrm{.}2\%,$ and $+0\mathrm{.}3\%.$ Determine the vertical curve lengths and the minimum distance between

the points of intersection of the two vertical curves. Assume ICAO's airplane Code $3,$ for

which: $L=492({}_1+{}_2),$ where ${}_1$ and ${}_2$ are the absolute values of the algebraic difference

in grades of the two vertical curves.