Rewrite the triple integral $\displaystyle \int_0^1 \int_0^x \int_0^y f(x,y,z) dz dy dx$ as $\displaystyle \int_a^b \int_{g_1(z)}^{g_2(z)} \int_{h_1(y,z)}^{h_2(y,z)}f(x,y,z) dx dy dz$
$a =$ $b =$
$g_1(z) =$ $g_2(z) =$
$h_1(y,z) =$ $h_2(y,z) =$