Computing Flux Integrals Worksheet by Mike May, S.J.- maymk@slu.edu Edited by Russell Blyth - blythrd@slu.edu restart:with(plots):with(LinearAlgebra): We use Maple to set up and evaluate flux integrals over a parameterized surfaces. We will walk through a step by step procedure, then produce new procedures that do everything in one command.

First we define a vector field that we want to integrate, the parameterized surface we integrate over, and the limits on the parameters. For the example we start with the vector field [0, 0, 1]. Then the flux integral will be the area of the shadow of the surface on the x-y plane. vfield := <0,0,1>; surface := <4*t*cos(s), 2*t*sin(s), t*sin(s)>; trange := t=0..2; srange := s=0..2*Pi;

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIodzEqRw==

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIoU1UxJA==

L0kidEc2IjsiIiEiIiM=

L0kic0c2IjsiIiEsJEkjUGlHJSpwcm90ZWN0ZWRHIiIj

Evaluating the flux integral can be broken into seven steps: 1) Graph the vector field and the parameterized surface to see what it looks like. (Not required, but useful.) 2) Set up the flux integral. 3) Replace x, y, and z in the vector field with the expressions in s and t on the surface. 4) Find the tangent vectors to the surface obtained by differentiating with respect to s and t. 5) Find a normal vector to the surface by taking the cross product of the tangent vectors. 6) Find the integrand of the flux integral by taking the dot product of the vector field and the normal vector. 7) Evaluate the integral. The first step is to look at a graph of the vector field and the parameterized surface. vfieldplot := fieldplot3d(vfield,x=-5..5,y=-5..5,z=-5..5, grid=[5, 5, 5]): paramsurf := plot3d(surface,trange, srange): display({vfieldplot, paramsurf}, axes=boxed);

6'-%*AXESSTYLEG6#%$BOXG-%+AXESLABELSG6%Q"x6"Q"y6"Q"z6"-%'CURVESG6ir7%7%$!"&""!$!"&""!$!3+++++++]i!#<7%$!"&""!$!"&""!$!3+++++++]P!#<7%$!"&""!$!3************\(o%!#<$!3'QFlt(eE"H%!#<7%7%$!"&""!$!"&""!$!3+++++++]P!#<7%$!"&""!$!"&""!$!3+++++++]7!#<7%$!"&""!$!3************\(o%!#<$!35u_OxeE"z"!#<7%7%$!"&""!$!"&""!$!3+++++++]7!#<7%$!"&""!$!"&""!$"3+++++++]7!#<7%$!"&""!$!3************\(o%!#<$"3/fsME7M(3(!#=7%7%$!"&""!$!"&""!$"3+++++++]7!#<7%$!"&""!$!"&""!$"3+++++++]P!#<7%$!"&""!$!3************\(o%!#<$"37EZjATt3K!#<7%7%$!"&""!$!"&""!$"3+++++++]P!#<7%$!"&""!$!"&""!$"3+++++++]i!#<7%$!"&""!$!3************\(o%!#<$"37EZjATt3d!#<7%7%$!"&""!$!3++++++++D!#<$!3+++++++]i!#<7%$!"&""!$!3++++++++D!#<$!3+++++++]P!#<7%$!"&""!$!3************\(=#!#<$!3'QFlt(eE"H%!#<7%7%$!"&""!$!3++++++++D!#<$!3+++++++]P!#<7%$!"&""!$!3++++++++D!#<$!3+++++++]7!#<7%$!"&""!$!3************\(=#!#<$!35u_OxeE"z"!#<7%7%$!"&""!$!3++++++++D!#<$!3+++++++]7!#<7%$!"&""!$!3++++++++D!#<$"3+++++++]7!#<7%$!"&""!$!3************\(=#!#<$"3/fsME7M(3(!#=7%7%$!"&""!$!3++++++++D!#<$"3+++++++]7!#<7%$!"&""!$!3++++++++D!#<$"3+++++++]P!#<7%$!"&""!$!3************\(=#!#<$"37EZjATt3K!#<7%7%$!"&""!$!3++++++++D!#<$"3+++++++]P!#<7%$!"&""!$!3++++++++D!#<$"3+++++++]i!#<7%$!"&""!$!3************\(=#!#<$"37EZjATt3d!#<7%7%$!"&""!$""!""!$!3+++++++]i!#<7%$!"&""!$""!""!$!3+++++++]P!#<7%$!"&""!$"3+++++++DJ!#=$!3'QFlt(eE"H%!#<7%7%$!"&""!$""!""!$!3+++++++]P!#<7%$!"&""!$""!""!$!3+++++++]7!#<7%$!"&""!$"3+++++++DJ!#=$!35u_OxeE"z"!#<7%7%$!"&""!$""!""!$!3+++++++]7!#<7%$!"&""!$""!""!$"3+++++++]7!#<7%$!"&""!$"3+++++++DJ!#=$"3/fsME7M(3(!#=7%7%$!"&""!$""!""!$"3+++++++]7!#<7%$!"&""!$""!""!$"3+++++++]P!#<7%$!"&""!$"3+++++++DJ!#=$"37EZjATt3K!#<7%7%$!"&""!$""!""!$"3+++++++]P!#<7%$!"&""!$""!""!$"3+++++++]i!#<7%$!"&""!$"3+++++++DJ!#=$"37EZjATt3d!#<7%7%$!"&""!$"3++++++++D!#<$!3+++++++]i!#<7%$!"&""!$"3++++++++D!#<$!3+++++++]P!#<7%$!"&""!$"3++++++]7G!#<$!3'QFlt(eE"H%!#<7%7%$!"&""!$"3++++++++D!#<$!3+++++++]P!#<7%$!"&""!$"3++++++++D!#<$!3+++++++]7!#<7%$!"&""!$"3++++++]7G!#<$!35u_OxeE"z"!#<7%7%$!"&""!$"3++++++++D!#<$!3+++++++]7!#<7%$!"&""!$"3++++++++D!#<$"3+++++++]7!#<7%$!"&""!$"3++++++]7G!#<$"3/fsME7M(3(!#=7%7%$!"&""!$"3++++++++D!#<$"3+++++++]7!#<7%$!"&""!$"3++++++++D!#<$"3+++++++]P!#<7%$!"&""!$"3++++++]7G!#<$"37EZjATt3K!#<7%7%$!"&""!$"3++++++++D!#<$"3+++++++]P!#<7%$!"&""!$"3++++++++D!#<$"3+++++++]i!#<7%$!"&""!$"3++++++]7G!#<$"37EZjATt3d!#<7%7%$!"&""!$""&""!$!3+++++++]i!#<7%$!"&""!$""&""!$!3+++++++]P!#<7%$!"&""!$"3++++++]7`!#<$!3'QFlt(eE"H%!#<7%7%$!"&""!$""&""!$!3+++++++]P!#<7%$!"&""!$""&""!$!3+++++++]7!#<7%$!"&""!$"3++++++]7`!#<$!35u_OxeE"z"!#<7%7%$!"&""!$""&""!$!3+++++++]7!#<7%$!"&""!$""&""!$"3+++++++]7!#<7%$!"&""!$"3++++++]7`!#<$"3/fsME7M(3(!#=7%7%$!"&""!$""&""!$"3+++++++]7!#<7%$!"&""!$""&""!$"3+++++++]P!#<7%$!"&""!$"3++++++]7`!#<$"37EZjATt3K!#<7%7%$!"&""!$""&""!$"3+++++++]P!#<7%$!"&""!$""&""!$"3+++++++]i!#<7%$!"&""!$"3++++++]7`!#<$"37EZjATt3d!#<7%7%$!3++++++++D!#<$!"&""!$!3+++++++]i!#<7%$!3++++++++D!#<$!"&""!$!3+++++++]P!#<7%$!3++++++++D!#<$!3************\(o%!#<$!3'QFlt(eE"H%!#<7%7%$!3++++++++D!#<$!"&""!$!3+++++++]P!#<7%$!3++++++++D!#<$!"&""!$!3+++++++]7!#<7%$!3++++++++D!#<$!3************\(o%!#<$!35u_OxeE"z"!#<7%7%$!3++++++++D!#<$!"&""!$!3+++++++]7!#<7%$!3++++++++D!#<$!"&""!$"3+++++++]7!#<7%$!3++++++++D!#<$!3************\(o%!#<$"3/fsME7M(3(!#=7%7%$!3++++++++D!#<$!"&""!$"3+++++++]7!#<7%$!3++++++++D!#<$!"&""!$"3+++++++]P!#<7%$!3++++++++D!#<$!3************\(o%!#<$"37EZjATt3K!#<7%7%$!3++++++++D!#<$!"&""!$"3+++++++]P!#<7%$!3++++++++D!#<$!"&""!$"3+++++++]i!#<7%$!3++++++++D!#<$!3************\(o%!#<$"37EZjATt3d!#<7%7%$!3++++++++D!#<$!3++++++++D!#<$!3+++++++]i!#<7%$!3++++++++D!#<$!3++++++++D!#<$!3+++++++]P!#<7%$!3++++++++D!#<$!3************\(=#!#<$!3'QFlt(eE"H%!#<7%7%$!3++++++++D!#<$!3++++++++D!#<$!3+++++++]P!#<7%$!3++++++++D!#<$!3++++++++D!#<$!3+++++++]7!#<7%$!3++++++++D!#<$!3************\(=#!#<$!35u_OxeE"z"!#<7%7%$!3++++++++D!#<$!3++++++++D!#<$!3+++++++]7!#<7%$!3++++++++D!#<$!3++++++++D!#<$"3+++++++]7!#<7%$!3++++++++D!#<$!3************\(=#!#<$"3/fsME7M(3(!#=7%7%$!3++++++++D!#<$!3++++++++D!#<$"3+++++++]7!#<7%$!3++++++++D!#<$!3++++++++D!#<$"3+++++++]P!#<7%$!3++++++++D!#<$!3************\(=#!#<$"37EZjATt3K!#<7%7%$!3++++++++D!#<$!3++++++++D!#<$"3+++++++]P!#<7%$!3++++++++D!#<$!3++++++++D!#<$"3+++++++]i!#<7%$!3++++++++D!#<$!3************\(=#!#<$"37EZjATt3d!#<7%7%$!3++++++++D!#<$""!""!$!3+++++++]i!#<7%$!3++++++++D!#<$""!""!$!3+++++++]P!#<7%$!3++++++++D!#<$"3+++++++DJ!#=$!3'QFlt(eE"H%!#<7%7%$!3++++++++D!#<$""!""!$!3+++++++]P!#<7%$!3++++++++D!#<$""!""!$!3+++++++]7!#<7%$!3++++++++D!#<$"3+++++++DJ!#=$!35u_OxeE"z"!#<7%7%$!3++++++++D!#<$""!""!$!3+++++++]7!#<7%$!3++++++++D!#<$""!""!$"3+++++++]7!#<7%$!3++++++++D!#<$"3+++++++DJ!#=$"3/fsME7M(3(!#=7%7%$!3++++++++D!#<$""!""!$"3+++++++]7!#<7%$!3++++++++D!#<$""!""!$"3+++++++]P!#<7%$!3++++++++D!#<$"3+++++++DJ!#=$"37EZjATt3K!#<7%7%$!3++++++++D!#<$""!""!$"3+++++++]P!#<7%$!3++++++++D!#<$""!""!$"3+++++++]i!#<7%$!3++++++++D!#<$"3+++++++DJ!#=$"37EZjATt3d!#<7%7%$!3++++++++D!#<$"3++++++++D!#<$!3+++++++]i!#<7%$!3++++++++D!#<$"3++++++++D!#<$!3+++++++]P!#<7%$!3++++++++D!#<$"3++++++]7G!#<$!3'QFlt(eE"H%!#<7%7%$!3++++++++D!#<$"3++++++++D!#<$!3+++++++]P!#<7%$!3++++++++D!#<$"3++++++++D!#<$!3+++++++]7!#<7%$!3++++++++D!#<$"3++++++]7G!#<$!35u_OxeE"z"!#<7%7%$!3++++++++D!#<$"3++++++++D!#<$!3+++++++]7!#<7%$!3++++++++D!#<$"3++++++++D!#<$"3+++++++]7!#<7%$!3++++++++D!#<$"3++++++]7G!#<$"3/fsME7M(3(!#=7%7%$!3++++++++D!#<$"3++++++++D!#<$"3+++++++]7!#<7%$!3++++++++D!#<$"3++++++++D!#<$"3+++++++]P!#<7%$!3++++++++D!#<$"3++++++]7G!#<$"37EZjATt3K!#<7%7%$!3++++++++D!#<$"3++++++++D!#<$"3+++++++]P!#<7%$!3++++++++D!#<$"3++++++++D!#<$"3+++++++]i!#<7%$!3++++++++D!#<$"3++++++]7G!#<$"37EZjATt3d!#<7%7%$!3++++++++D!#<$""&""!$!3+++++++]i!#<7%$!3++++++++D!#<$""&""!$!3+++++++]P!#<7%$!3++++++++D!#<$"3++++++]7`!#<$!3'QFlt(eE"H%!#<7%7%$!3++++++++D!#<$""&""!$!3+++++++]P!#<7%$!3++++++++D!#<$""&""!$!3+++++++]7!#<7%$!3++++++++D!#<$"3++++++]7`!#<$!35u_OxeE"z"!#<7%7%$!3++++++++D!#<$""&""!$!3+++++++]7!#<7%$!3++++++++D!#<$""&""!$"3+++++++]7!#<7%$!3++++++++D!#<$"3++++++]7`!#<$"3/fsME7M(3(!#=7%7%$!3++++++++D!#<$""&""!$"3+++++++]7!#<7%$!3++++++++D!#<$""&""!$"3+++++++]P!#<7%$!3++++++++D!#<$"3++++++]7`!#<$"37EZjATt3K!#<7%7%$!3++++++++D!#<$""&""!$"3+++++++]P!#<7%$!3++++++++D!#<$""&""!$"3+++++++]i!#<7%$!3++++++++D!#<$"3++++++]7`!#<$"37EZjATt3d!#<7%7%$""!""!$!"&""!$!3+++++++]i!#<7%$""!""!$!"&""!$!3+++++++]P!#<7%$""!""!$!3************\(o%!#<$!3'QFlt(eE"H%!#<7%7%$""!""!$!"&""!$!3+++++++]P!#<7%$""!""!$!"&""!$!3+++++++]7!#<7%$""!""!$!3************\(o%!#<$!35u_OxeE"z"!#<7%7%$""!""!$!"&""!$!3+++++++]7!#<7%$""!""!$!"&""!$"3+++++++]7!#<7%$""!""!$!3************\(o%!#<$"3/fsME7M(3(!#=7%7%$""!""!$!"&""!$"3+++++++]7!#<7%$""!""!$!"&""!$"3+++++++]P!#<7%$""!""!$!3************\(o%!#<$"37EZjATt3K!#<7%7%$""!""!$!"&""!$"3+++++++]P!#<7%$""!""!$!"&""!$"3+++++++]i!#<7%$""!""!$!3************\(o%!#<$"37EZjATt3d!#<7%7%$""!""!$!3++++++++D!#<$!3+++++++]i!#<7%$""!""!$!3++++++++D!#<$!3+++++++]P!#<7%$""!""!$!3************\(=#!#<$!3'QFlt(eE"H%!#<7%7%$""!""!$!3++++++++D!#<$!3+++++++]P!#<7%$""!""!$!3++++++++D!#<$!3+++++++]7!#<7%$""!""!$!3************\(=#!#<$!35u_OxeE"z"!#<7%7%$""!""!$!3++++++++D!#<$!3+++++++]7!#<7%$""!""!$!3++++++++D!#<$"3+++++++]7!#<7%$""!""!$!3************\(=#!#<$"3/fsME7M(3(!#=7%7%$""!""!$!3++++++++D!#<$"3+++++++]7!#<7%$""!""!$!3++++++++D!#<$"3+++++++]P!#<7%$""!""!$!3************\(=#!#<$"37EZjATt3K!#<7%7%$""!""!$!3++++++++D!#<$"3+++++++]P!#<7%$""!""!$!3++++++++D!#<$"3+++++++]i!#<7%$""!""!$!3************\(=#!#<$"37EZjATt3d!#<7%7%$""!""!$""!""!$!3+++++++]i!#<7%$""!""!$""!""!$!3+++++++]P!#<7%$""!""!$"3+++++++DJ!#=$!3'QFlt(eE"H%!#<7%7%$""!""!$""!""!$!3+++++++]P!#<7%$""!""!$""!""!$!3+++++++]7!#<7%$""!""!$"3+++++++DJ!#=$!35u_OxeE"z"!#<7%7%$""!""!$""!""!$!3+++++++]7!#<7%$""!""!$""!""!$"3+++++++]7!#<7%$""!""!$"3+++++++DJ!#=$"3/fsME7M(3(!#=7%7%$""!""!$""!""!$"3+++++++]7!#<7%$""!""!$""!""!$"3+++++++]P!#<7%$""!""!$"3+++++++DJ!#=$"37EZjATt3K!#<7%7%$""!""!$""!""!$"3+++++++]P!#<7%$""!""!$""!""!$"3+++++++]i!#<7%$""!""!$"3+++++++DJ!#=$"37EZjATt3d!#<7%7%$""!""!$"3++++++++D!#<$!3+++++++]i!#<7%$""!""!$"3++++++++D!#<$!3+++++++]P!#<7%$""!""!$"3++++++]7G!#<$!3'QFlt(eE"H%!#<7%7%$""!""!$"3++++++++D!#<$!3+++++++]P!#<7%$""!""!$"3++++++++D!#<$!3+++++++]7!#<7%$""!""!$"3++++++]7G!#<$!35u_OxeE"z"!#<7%7%$""!""!$"3++++++++D!#<$!3+++++++]7!#<7%$""!""!$"3++++++++D!#<$"3+++++++]7!#<7%$""!""!$"3++++++]7G!#<$"3/fsME7M(3(!#=7%7%$""!""!$"3++++++++D!#<$"3+++++++]7!#<7%$""!""!$"3++++++++D!#<$"3+++++++]P!#<7%$""!""!$"3++++++]7G!#<$"37EZjATt3K!#<7%7%$""!""!$"3++++++++D!#<$"3+++++++]P!#<7%$""!""!$"3++++++++D!#<$"3+++++++]i!#<7%$""!""!$"3++++++]7G!#<$"37EZjATt3d!#<7%7%$""!""!$""&""!$!3+++++++]i!#<7%$""!""!$""&""!$!3+++++++]P!#<7%$""!""!$"3++++++]7`!#<$!3'QFlt(eE"H%!#<7%7%$""!""!$""&""!$!3+++++++]P!#<7%$""!""!$""&""!$!3+++++++]7!#<7%$""!""!$"3++++++]7`!#<$!35u_OxeE"z"!#<7%7%$""!""!$""&""!$!3+++++++]7!#<7%$""!""!$""&""!$"3+++++++]7!#<7%$""!""!$"3++++++]7`!#<$"3/fsME7M(3(!#=7%7%$""!""!$""&""!$"3+++++++]7!#<7%$""!""!$""&""!$"3+++++++]P!#<7%$""!""!$"3++++++]7`!#<$"37EZjATt3K!#<7%7%$""!""!$""&""!$"3+++++++]P!#<7%$""!""!$""&""!$"3+++++++]i!#<7%$""!""!$"3++++++]7`!#<$"37EZjATt3d!#<7%7%$"3++++++++D!#<$!"&""!$!3+++++++]i!#<7%$"3++++++++D!#<$!"&""!$!3+++++++]P!#<7%$"3++++++++D!#<$!3************\(o%!#<$!3'QFlt(eE"H%!#<7%7%$"3++++++++D!#<$!"&""!$!3+++++++]P!#<7%$"3++++++++D!#<$!"&""!$!3+++++++]7!#<7%$"3++++++++D!#<$!3************\(o%!#<$!35u_OxeE"z"!#<7%7%$"3++++++++D!#<$!"&""!$!3+++++++]7!#<7%$"3++++++++D!#<$!"&""!$"3+++++++]7!#<7%$"3++++++++D!#<$!3************\(o%!#<$"3/fsME7M(3(!#=7%7%$"3++++++++D!#<$!"&""!$"3+++++++]7!#<7%$"3++++++++D!#<$!"&""!$"3+++++++]P!#<7%$"3++++++++D!#<$!3************\(o%!#<$"37EZjATt3K!#<7%7%$"3++++++++D!#<$!"&""!$"3+++++++]P!#<7%$"3++++++++D!#<$!"&""!$"3+++++++]i!#<7%$"3++++++++D!#<$!3************\(o%!#<$"37EZjATt3d!#<7%7%$"3++++++++D!#<$!3++++++++D!#<$!3+++++++]i!#<7%$"3++++++++D!#<$!3++++++++D!#<$!3+++++++]P!#<7%$"3++++++++D!#<$!3************\(=#!#<$!3'QFlt(eE"H%!#<7%7%$"3++++++++D!#<$!3++++++++D!#<$!3+++++++]P!#<7%$"3++++++++D!#<$!3++++++++D!#<$!3+++++++]7!#<7%$"3++++++++D!#<$!3************\(=#!#<$!35u_OxeE"z"!#<7%7%$"3++++++++D!#<$!3++++++++D!#<$!3+++++++]7!#<7%$"3++++++++D!#<$!3++++++++D!#<$"3+++++++]7!#<7%$"3++++++++D!#<$!3************\(=#!#<$"3/fsME7M(3(!#=7%7%$"3++++++++D!#<$!3++++++++D!#<$"3+++++++]7!#<7%$"3++++++++D!#<$!3++++++++D!#<$"3+++++++]P!#<7%$"3++++++++D!#<$!3************\(=#!#<$"37EZjATt3K!#<7%7%$"3++++++++D!#<$!3++++++++D!#<$"3+++++++]P!#<7%$"3++++++++D!#<$!3++++++++D!#<$"3+++++++]i!#<7%$"3++++++++D!#<$!3************\(=#!#<$"37EZjATt3d!#<7%7%$"3++++++++D!#<$""!""!$!3+++++++]i!#<7%$"3++++++++D!#<$""!""!$!3+++++++]P!#<7%$"3++++++++D!#<$"3+++++++DJ!#=$!3'QFlt(eE"H%!#<7%7%$"3++++++++D!#<$""!""!$!3+++++++]P!#<7%$"3++++++++D!#<$""!""!$!3+++++++]7!#<7%$"3++++++++D!#<$"3+++++++DJ!#=$!35u_OxeE"z"!#<7%7%$"3++++++++D!#<$""!""!$!3+++++++]7!#<7%$"3++++++++D!#<$""!""!$"3+++++++]7!#<7%$"3++++++++D!#<$"3+++++++DJ!#=$"3/fsME7M(3(!#=7%7%$"3++++++++D!#<$""!""!$"3+++++++]7!#<7%$"3++++++++D!#<$""!""!$"3+++++++]P!#<7%$"3++++++++D!#<$"3+++++++DJ!#=$"37EZjATt3K!#<7%7%$"3++++++++D!#<$""!""!$"3+++++++]P!#<7%$"3++++++++D!#<$""!""!$"3+++++++]i!#<7%$"3++++++++D!#<$"3+++++++DJ!#=$"37EZjATt3d!#<7%7%$"3++++++++D!#<$"3++++++++D!#<$!3+++++++]i!#<7%$"3++++++++D!#<$"3++++++++D!#<$!3+++++++]P!#<7%$"3++++++++D!#<$"3++++++]7G!#<$!3'QFlt(eE"H%!#<7%7%$"3++++++++D!#<$"3++++++++D!#<$!3+++++++]P!#<7%$"3++++++++D!#<$"3++++++++D!#<$!3+++++++]7!#<7%$"3++++++++D!#<$"3++++++]7G!#<$!35u_OxeE"z"!#<7%7%$"3++++++++D!#<$"3++++++++D!#<$!3+++++++]7!#<7%$"3++++++++D!#<$"3++++++++D!#<$"3+++++++]7!#<7%$"3++++++++D!#<$"3++++++]7G!#<$"3/fsME7M(3(!#=7%7%$"3++++++++D!#<$"3++++++++D!#<$"3+++++++]7!#<7%$"3++++++++D!#<$"3++++++++D!#<$"3+++++++]P!#<7%$"3++++++++D!#<$"3++++++]7G!#<$"37EZjATt3K!#<7%7%$"3++++++++D!#<$"3++++++++D!#<$"3+++++++]P!#<7%$"3++++++++D!#<$"3++++++++D!#<$"3+++++++]i!#<7%$"3++++++++D!#<$"3++++++]7G!#<$"37EZjATt3d!#<7%7%$"3++++++++D!#<$""&""!$!3+++++++]i!#<7%$"3++++++++D!#<$""&""!$!3+++++++]P!#<7%$"3++++++++D!#<$"3++++++]7`!#<$!3'QFlt(eE"H%!#<7%7%$"3++++++++D!#<$""&""!$!3+++++++]P!#<7%$"3++++++++D!#<$""&""!$!3+++++++]7!#<7%$"3++++++++D!#<$"3++++++]7`!#<$!35u_OxeE"z"!#<7%7%$"3++++++++D!#<$""&""!$!3+++++++]7!#<7%$"3++++++++D!#<$""&""!$"3+++++++]7!#<7%$"3++++++++D!#<$"3++++++]7`!#<$"3/fsME7M(3(!#=7%7%$"3++++++++D!#<$""&""!$"3+++++++]7!#<7%$"3++++++++D!#<$""&""!$"3+++++++]P!#<7%$"3++++++++D!#<$"3++++++]7`!#<$"37EZjATt3K!#<7%7%$"3++++++++D!#<$""&""!$"3+++++++]P!#<7%$"3++++++++D!#<$""&""!$"3+++++++]i!#<7%$"3++++++++D!#<$"3++++++]7`!#<$"37EZjATt3d!#<7%7%$""&""!$!"&""!$!3+++++++]i!#<7%$""&""!$!"&""!$!3+++++++]P!#<7%$""&""!$!3************\(o%!#<$!3'QFlt(eE"H%!#<7%7%$""&""!$!"&""!$!3+++++++]P!#<7%$""&""!$!"&""!$!3+++++++]7!#<7%$""&""!$!3************\(o%!#<$!35u_OxeE"z"!#<7%7%$""&""!$!"&""!$!3+++++++]7!#<7%$""&""!$!"&""!$"3+++++++]7!#<7%$""&""!$!3************\(o%!#<$"3/fsME7M(3(!#=7%7%$""&""!$!"&""!$"3+++++++]7!#<7%$""&""!$!"&""!$"3+++++++]P!#<7%$""&""!$!3************\(o%!#<$"37EZjATt3K!#<7%7%$""&""!$!"&""!$"3+++++++]P!#<7%$""&""!$!"&""!$"3+++++++]i!#<7%$""&""!$!3************\(o%!#<$"37EZjATt3d!#<7%7%$""&""!$!3++++++++D!#<$!3+++++++]i!#<7%$""&""!$!3++++++++D!#<$!3+++++++]P!#<7%$""&""!$!3************\(=#!#<$!3'QFlt(eE"H%!#<7%7%$""&""!$!3++++++++D!#<$!3+++++++]P!#<7%$""&""!$!3++++++++D!#<$!3+++++++]7!#<7%$""&""!$!3************\(=#!#<$!35u_OxeE"z"!#<7%7%$""&""!$!3++++++++D!#<$!3+++++++]7!#<7%$""&""!$!3++++++++D!#<$"3+++++++]7!#<7%$""&""!$!3************\(=#!#<$"3/fsME7M(3(!#=7%7%$""&""!$!3++++++++D!#<$"3+++++++]7!#<7%$""&""!$!3++++++++D!#<$"3+++++++]P!#<7%$""&""!$!3************\(=#!#<$"37EZjATt3K!#<7%7%$""&""!$!3++++++++D!#<$"3+++++++]P!#<7%$""&""!$!3++++++++D!#<$"3+++++++]i!#<7%$""&""!$!3************\(=#!#<$"37EZjATt3d!#<7%7%$""&""!$""!""!$!3+++++++]i!#<7%$""&""!$""!""!$!3+++++++]P!#<7%$""&""!$"3+++++++DJ!#=$!3'QFlt(eE"H%!#<7%7%$""&""!$""!""!$!3+++++++]P!#<7%$""&""!$""!""!$!3+++++++]7!#<7%$""&""!$"3+++++++DJ!#=$!35u_OxeE"z"!#<7%7%$""&""!$""!""!$!3+++++++]7!#<7%$""&""!$""!""!$"3+++++++]7!#<7%$""&""!$"3+++++++DJ!#=$"3/fsME7M(3(!#=7%7%$""&""!$""!""!$"3+++++++]7!#<7%$""&""!$""!""!$"3+++++++]P!#<7%$""&""!$"3+++++++DJ!#=$"37EZjATt3K!#<7%7%$""&""!$""!""!$"3+++++++]P!#<7%$""&""!$""!""!$"3+++++++]i!#<7%$""&""!$"3+++++++DJ!#=$"37EZjATt3d!#<7%7%$""&""!$"3++++++++D!#<$!3+++++++]i!#<7%$""&""!$"3++++++++D!#<$!3+++++++]P!#<7%$""&""!$"3++++++]7G!#<$!3'QFlt(eE"H%!#<7%7%$""&""!$"3++++++++D!#<$!3+++++++]P!#<7%$""&""!$"3++++++++D!#<$!3+++++++]7!#<7%$""&""!$"3++++++]7G!#<$!35u_OxeE"z"!#<7%7%$""&""!$"3++++++++D!#<$!3+++++++]7!#<7%$""&""!$"3++++++++D!#<$"3+++++++]7!#<7%$""&""!$"3++++++]7G!#<$"3/fsME7M(3(!#=7%7%$""&""!$"3++++++++D!#<$"3+++++++]7!#<7%$""&""!$"3++++++++D!#<$"3+++++++]P!#<7%$""&""!$"3++++++]7G!#<$"37EZjATt3K!#<7%7%$""&""!$"3++++++++D!#<$"3+++++++]P!#<7%$""&""!$"3++++++++D!#<$"3+++++++]i!#<7%$""&""!$"3++++++]7G!#<$"37EZjATt3d!#<7%7%$""&""!$""&""!$!3+++++++]i!#<7%$""&""!$""&""!$!3+++++++]P!#<7%$""&""!$"3++++++]7`!#<$!3'QFlt(eE"H%!#<7%7%$""&""!$""&""!$!3+++++++]P!#<7%$""&""!$""&""!$!3+++++++]7!#<7%$""&""!$"3++++++]7`!#<$!35u_OxeE"z"!#<7%7%$""&""!$""&""!$!3+++++++]7!#<7%$""&""!$""&""!$"3+++++++]7!#<7%$""&""!$"3++++++]7`!#<$"3/fsME7M(3(!#=7%7%$""&""!$""&""!$"3+++++++]7!#<7%$""&""!$""&""!$"3+++++++]P!#<7%$""&""!$"3++++++]7`!#<$"37EZjATt3K!#<7%7%$""&""!$""&""!$"3+++++++]P!#<7%$""&""!$""&""!$"3+++++++]i!#<7%$""&""!$"3++++++]7`!#<$"37EZjATt3d!#<-%%MESHG6#X.I)anythingG%*protectedG6"6"[gl'!%"!!$^`r":":"$0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000000000000000000000000000000008000000000000000000000000000000000000000000000008000000000000000000000000000000000000000000000008000000000000000000000000000000000000000000000008000000000000000000000000000000000000000000000008000000000000000000000000000000000000000000000008000000000000000800000000000000080000000000000008000000000000000800000000000000080000000000000008000000000000000800000000000000080000000000000008000000000000000800000000000000080000000000000008000000000000000800000000000000080000000000000008000000000000000800000000000000080000000000000000000000000000000800000000000000080000000000000000000000000000000800000000000000080000000000000000000000000000000800000000000000080000000000000000000000000000000800000000000000080000000000000000000000000000000800000000000000080000000000000000000000000000000800000000000000080000000000000003FD5555555555555000000000000000000000000000000003FD49B3E2F85D4B83FA615FD02195E103F9615FD02195E103FD279A74590331E3FB55555555555503FA55555555555503FCE2B7DDDFEFA6C3FBE2B7DDDFEFA603FAE2B7DDDFEFA603FC55555555555603FC279A7459033193FB279A7459033193FB615FD02195E343FC49B3E2F85D4B63FB49B3E2F85D4B63CC366EC4220D92A3FC55555555555553FB5555555555555BFB615FD02195DE93FC49B3E2F85D4BB3FB49B3E2F85D4BBBFC55555555555403FC279A7459033223FB279A745903322BFCE2B7DDDFEFA523FBE2B7DDDFEFA7A3FAE2B7DDDFEFA7ABFD279A7459033143FB55555555555703FA5555555555570BFD49B3E2F85D4B43FA615FD02195E593F9615FD02195E59BFD55555555555553CC366EC4220D92A3CB366EC4220D92ABFD49B3E2F85D4BEBFA615FD02195DC4BF9615FD02195DC4BFD279A745903328BFB555555555552DBFA555555555552DBFCE2B7DDDFEFA89BFBE2B7DDDFEFA42BFAE2B7DDDFEFA42BFC5555555555580BFC279A745903310BFB279A745903310BFB615FD02195E79BFC49B3E2F85D4B2BFB49B3E2F85D4B2BCDBC50D0DDBF06ABFC5555555555555BFB55555555555553FB615FD02195DA4BFC49B3E2F85D4C0BFB49B3E2F85D4C03FC555555555551EBFC279A74590332CBFB279A74590332C3FCE2B7DDDFEFA36BFBE2B7DDDFEFA95BFAE2B7DDDFEFA953FD279A74590330ABFB5555555555591BFA55555555555913FD49B3E2F85D4AEBFA615FD02195EA4BF9615FD02195EA43FD5555555555555BCD366EC4220D92ABCC366EC4220D92A3FE5555555555555000000000000000000000000000000003FE49B3E2F85D4B83FB615FD02195E103FA615FD02195E103FE279A74590331E3FC55555555555503FB55555555555503FDE2B7DDDFEFA6C3FCE2B7DDDFEFA603FBE2B7DDDFEFA603FD55555555555603FD279A7459033193FC279A7459033193FC615FD02195E343FD49B3E2F85D4B63FC49B3E2F85D4B63CD366EC4220D92A3FD55555555555553FC5555555555555BFC615FD02195DE93FD49B3E2F85D4BB3FC49B3E2F85D4BBBFD55555555555403FD279A7459033223FC279A745903322BFDE2B7DDDFEFA523FCE2B7DDDFEFA7A3FBE2B7DDDFEFA7ABFE279A7459033143FC55555555555703FB5555555555570BFE49B3E2F85D4B43FB615FD02195E593FA615FD02195E59BFE55555555555553CD366EC4220D92A3CC366EC4220D92ABFE49B3E2F85D4BEBFB615FD02195DC4BFA615FD02195DC4BFE279A745903328BFC555555555552DBFB555555555552DBFDE2B7DDDFEFA89BFCE2B7DDDFEFA42BFBE2B7DDDFEFA42BFD5555555555580BFD279A745903310BFC279A745903310BFC615FD02195E79BFD49B3E2F85D4B2BFC49B3E2F85D4B2BCEBC50D0DDBF06ABFD5555555555555BFC55555555555553FC615FD02195DA4BFD49B3E2F85D4C0BFC49B3E2F85D4C03FD555555555551EBFD279A74590332CBFC279A74590332C3FDE2B7DDDFEFA36BFCE2B7DDDFEFA95BFBE2B7DDDFEFA953FE279A74590330ABFC5555555555591BFB55555555555913FE49B3E2F85D4AEBFB615FD02195EA4BFA615FD02195EA43FE5555555555555BCE366EC4220D92ABCD366EC4220D92A3FF0000000000000000000000000000000000000000000003FEEE8DD4748BF153FC0907DC193068C3FB0907DC193068C3FEBB67AE8584CAD3FCFFFFFFFFFFFF83FBFFFFFFFFFFFF83FE6A09E667F3BD13FD6A09E667F3BC83FC6A09E667F3BC83FE00000000000083FDBB67AE8584CA63FCBB67AE8584CA63FD0907DC19306A73FDEE8DD4748BF123FCEE8DD4748BF123CDD1A62633145C03FE00000000000003FD0000000000000BFD0907DC193066F3FDEE8DD4748BF193FCEE8DD4748BF19BFDFFFFFFFFFFFE03FDBB67AE8584CB43FCBB67AE8584CB4BFE6A09E667F3BBE3FD6A09E667F3BDC3FC6A09E667F3BDCBFEBB67AE8584C9F3FD00000000000143FC0000000000014BFEEE8DD4748BF0E3FC0907DC19306C33FB0907DC19306C3BFF00000000000003CDD1A62633145C03CCD1A62633145C0BFEEE8DD4748BF1DBFC0907DC1930653BFB0907DC1930653BFEBB67AE8584CBCBFCFFFFFFFFFFFC4BFBFFFFFFFFFFFC4BFE6A09E667F3BE7BFD6A09E667F3BB2BFC6A09E667F3BB2BFE0000000000020BFDBB67AE8584C98BFCBB67AE8584C98BFD0907DC19306DBBFDEE8DD4748BF0BBFCEE8DD4748BF0BBCF4D3C9CA64F450BFE0000000000000BFD00000000000003FD0907DC193063BBFDEE8DD4748BF20BFCEE8DD4748BF203FDFFFFFFFFFFFAEBFDBB67AE8584CC2BFCBB67AE8584CC23FE6A09E667F3BA9BFD6A09E667F3BF0BFC6A09E667F3BF03FEBB67AE8584C90BFD000000000002DBFC000000000002D3FEEE8DD4748BF06BFC0907DC19306FBBFB0907DC19306FB3FF0000000000000BCED1A62633145C0BCDD1A62633145C03FF5555555555555000000000000000000000000000000003FF49B3E2F85D4B83FC615FD02195E103FB615FD02195E103FF279A74590331E3FD55555555555503FC55555555555503FEE2B7DDDFEFA6C3FDE2B7DDDFEFA603FCE2B7DDDFEFA603FE55555555555603FE279A7459033193FD279A7459033193FD615FD02195E343FE49B3E2F85D4B63FD49B3E2F85D4B63CE366EC4220D92A3FE55555555555553FD5555555555555BFD615FD02195DE93FE49B3E2F85D4BB3FD49B3E2F85D4BBBFE55555555555403FE279A7459033223FD279A745903322BFEE2B7DDDFEFA523FDE2B7DDDFEFA7A3FCE2B7DDDFEFA7ABFF279A7459033143FD55555555555703FC5555555555570BFF49B3E2F85D4B43FC615FD02195E593FB615FD02195E59BFF55555555555553CE366EC4220D92A3CD366EC4220D92ABFF49B3E2F85D4BEBFC615FD02195DC4BFB615FD02195DC4BFF279A745903328BFD555555555552DBFC555555555552DBFEE2B7DDDFEFA89BFDE2B7DDDFEFA42BFCE2B7DDDFEFA42BFE5555555555580BFE279A745903310BFD279A745903310BFD615FD02195E79BFE49B3E2F85D4B2BFD49B3E2F85D4B2BCFBC50D0DDBF06ABFE5555555555555BFD55555555555553FD615FD02195DA4BFE49B3E2F85D4C0BFD49B3E2F85D4C03FE555555555551EBFE279A74590332CBFD279A74590332C3FEE2B7DDDFEFA36BFDE2B7DDDFEFA95BFCE2B7DDDFEFA953FF279A74590330ABFD5555555555591BFC55555555555913FF49B3E2F85D4AEBFC615FD02195EA4BFB615FD02195EA43FF5555555555555BCF366EC4220D92ABCE366EC4220D92A3FFAAAAAAAAAAAAA000000000000000000000000000000003FF9C20DBB6749E63FCB9B7C429FB5933FBB9B7C429FB5933FF7181116F43FE53FDAAAAAAAAAAAA33FCAAAAAAAAAAAA33FF2DB2EAABF5C833FE2DB2EAABF5C7C3FD2DB2EAABF5C7C3FEAAAAAAAAAAAB73FE7181116F43FDF3FD7181116F43FDF3FDB9B7C429FB5C03FE9C20DBB6749E43FD9C20DBB6749E43CE840A752A90F753FEAAAAAAAAAAAAA3FDAAAAAAAAAAAAABFDB9B7C429FB5633FE9C20DBB6749EA3FD9C20DBB6749EABFEAAAAAAAAAAA8F3FE7181116F43FEB3FD7181116F43FEBBFF2DB2EAABF5C733FE2DB2EAABF5C8C3FD2DB2EAABF5C8CBFF7181116F43FD93FDAAAAAAAAAAACB3FCAAAAAAAAAAACBBFF9C20DBB6749E03FCB9B7C429FB5EF3FBB9B7C429FB5EFBFFAAAAAAAAAAAAA3CE840A752A90F753CD840A752A90F75BFF9C20DBB6749EDBFCB9B7C429FB534BFBB9B7C429FB534BFF7181116F43FF1BFDAAAAAAAAAAA78BFCAAAAAAAAAAA78BFF2DB2EAABF5C95BFE2DB2EAABF5C69BFD2DB2EAABF5C69BFEAAAAAAAAAAADFBFE7181116F43FD3BFD7181116F43FD3BFDB9B7C429FB617BFE9C20DBB6749DEBFD9C20DBB6749DEBD015B2828A97642BFEAAAAAAAAAAAAABFDAAAAAAAAAAAAA3FDB9B7C429FB50CBFE9C20DBB6749EFBFD9C20DBB6749EF3FEAAAAAAAAAAA66BFE7181116F43FF6BFD7181116F43FF63FF2DB2EAABF5C62BFE2DB2EAABF5C9DBFD2DB2EAABF5C9D3FF7181116F43FCDBFDAAAAAAAAAAAF5BFCAAAAAAAAAAAF53FF9C20DBB6749DABFCB9B7C429FB64CBFBB9B7C429FB64C3FFAAAAAAAAAAAAABCF840A752A90F75BCE840A752A90F753FFFFFFFFFFFFFFF000000000000000000000000000000003FFEE8DD4748BF143FD0907DC193068B3FC0907DC193068B3FFBB67AE8584CAC3FDFFFFFFFFFFFF73FCFFFFFFFFFFFF73FF6A09E667F3BD03FE6A09E667F3BC73FD6A09E667F3BC73FF00000000000073FEBB67AE8584CA53FDBB67AE8584CA53FE0907DC19306A63FEEE8DD4748BF113FDEE8DD4748BF113CED1A62633145BF3FEFFFFFFFFFFFFF3FDFFFFFFFFFFFFFBFE0907DC193066E3FEEE8DD4748BF183FDEE8DD4748BF18BFEFFFFFFFFFFFDF3FEBB67AE8584CB33FDBB67AE8584CB3BFF6A09E667F3BBD3FE6A09E667F3BDB3FD6A09E667F3BDBBFFBB67AE8584C9E3FE00000000000133FD0000000000013BFFEE8DD4748BF0D3FD0907DC19306C23FC0907DC19306C2BFFFFFFFFFFFFFFF3CED1A62633145BF3CDD1A62633145BFBFFEE8DD4748BF1CBFD0907DC1930652BFC0907DC1930652BFFBB67AE8584CBBBFDFFFFFFFFFFFC3BFCFFFFFFFFFFFC3BFF6A09E667F3BE6BFE6A09E667F3BB1BFD6A09E667F3BB1BFF000000000001FBFEBB67AE8584C97BFDBB67AE8584C97BFE0907DC19306DABFEEE8DD4748BF0ABFDEE8DD4748BF0ABD04D3C9CA64F44FBFEFFFFFFFFFFFFFBFDFFFFFFFFFFFFF3FE0907DC193063ABFEEE8DD4748BF1FBFDEE8DD4748BF1F3FEFFFFFFFFFFFADBFEBB67AE8584CC1BFDBB67AE8584CC13FF6A09E667F3BA8BFE6A09E667F3BEFBFD6A09E667F3BEF3FFBB67AE8584C8FBFE000000000002CBFD000000000002C3FFEE8DD4748BF05BFD0907DC19306FABFC0907DC19306FA3FFFFFFFFFFFFFFFBCFD1A62633145BFBCED1A62633145BF4002AAAAAAAAAAAA00000000000000000000000000000000400207D669951A213FD3533D61D6324D3FC3533D61D6324D40002A725CDE2CBA3FE2AAAAAAAAAAA53FD2AAAAAAAAAAA53FFA660E223F1B1E3FEA660E223F1B133FDA660E223F1B133FF2AAAAAAAAAAB33FF02A725CDE2CB63FE02A725CDE2CB63FE3533D61D6326D3FF207D669951A1F3FE207D669951A1F3CF0FA0EB9DCBE053FF2AAAAAAAAAAAA3FE2AAAAAAAAAAAABFE3533D61D6322B3FF207D669951A233FE207D669951A23BFF2AAAAAAAAAA973FF02A725CDE2CBE3FE02A725CDE2CBEBFFA660E223F1B073FEA660E223F1B2A3FDA660E223F1B2AC0002A725CDE2CB23FE2AAAAAAAAAAC13FD2AAAAAAAAAAC1C00207D669951A1D3FD3533D61D6328D3FC3533D61D6328DC002AAAAAAAAAAAA3CF0FA0EB9DCBE053CE0FA0EB9DCBE05C00207D669951A26BFD3533D61D6320BBFC3533D61D6320BC0002A725CDE2CC2BFE2AAAAAAAAAA87BFD2AAAAAAAAAA87BFFA660E223F1B37BFEA660E223F1AF9BFDA660E223F1AF9BFF2AAAAAAAAAACFBFF02A725CDE2CADBFE02A725CDE2CADBFE3533D61D632A9BFF207D669951A1BBFE207D669951A1BBD084C6B6C20725CBFF2AAAAAAAAAAAABFE2AAAAAAAAAAAA3FE3533D61D631EFBFF207D669951A27BFE207D669951A273FF2AAAAAAAAAA7ABFF02A725CDE2CC6BFE02A725CDE2CC63FFA660E223F1AEFBFEA660E223F1B42BFDA660E223F1B4240002A725CDE2CA9BFE2AAAAAAAAAADEBFD2AAAAAAAAAADE400207D669951A18BFD3533D61D632CFBFC3533D61D632CF4002AAAAAAAAAAAABD00FA0EB9DCBE05BCF0FA0EB9DCBE0540055555555555550000000000000000000000000000000040049B3E2F85D4B83FD615FD02195E103FC615FD02195E10400279A74590331E3FE55555555555503FD55555555555503FFE2B7DDDFEFA6C3FEE2B7DDDFEFA603FDE2B7DDDFEFA603FF55555555555603FF279A7459033193FE279A7459033193FE615FD02195E343FF49B3E2F85D4B63FE49B3E2F85D4B63CF366EC4220D92A3FF55555555555553FE5555555555555BFE615FD02195DE93FF49B3E2F85D4BB3FE49B3E2F85D4BBBFF55555555555403FF279A7459033223FE279A745903322BFFE2B7DDDFEFA523FEE2B7DDDFEFA7A3FDE2B7DDDFEFA7AC00279A7459033143FE55555555555703FD5555555555570C0049B3E2F85D4B43FD615FD02195E593FC615FD02195E59C0055555555555553CF366EC4220D92A3CE366EC4220D92AC0049B3E2F85D4BEBFD615FD02195DC4BFC615FD02195DC4C00279A745903328BFE555555555552DBFD555555555552DBFFE2B7DDDFEFA89BFEE2B7DDDFEFA42BFDE2B7DDDFEFA42BFF5555555555580BFF279A745903310BFE279A745903310BFE615FD02195E79BFF49B3E2F85D4B2BFE49B3E2F85D4B2BD0BC50D0DDBF06ABFF5555555555555BFE55555555555553FE615FD02195DA4BFF49B3E2F85D4C0BFE49B3E2F85D4C03FF555555555551EBFF279A74590332CBFE279A74590332C3FFE2B7DDDFEFA36BFEE2B7DDDFEFA95BFDE2B7DDDFEFA95400279A74590330ABFE5555555555591BFD555555555559140049B3E2F85D4AEBFD615FD02195EA4BFC615FD02195EA44005555555555555BD0366EC4220D92ABCF366EC4220D92A40080000000000000000000000000000000000000000000040072EA5F5768F503FD8D8BCA25C89D23FC8D8BCA25C89D24004C8DC2E4239823FE7FFFFFFFFFFFA3FD7FFFFFFFFFFFA4000F876CCDF6CDD3FF0F876CCDF6CD63FE0F876CCDF6CD63FF800000000000C3FF4C8DC2E42397C3FE4C8DC2E42397C3FE8D8BCA25C89FA3FF72EA5F5768F4E3FE72EA5F5768F4E3CF5D3C9CA64F4503FF80000000000003FE8000000000000BFE8D8BCA25C89A63FF72EA5F5768F533FE72EA5F5768F53BFF7FFFFFFFFFFE83FF4C8DC2E4239873FE4C8DC2E423987C000F876CCDF6CCE3FF0F876CCDF6CE53FE0F876CCDF6CE5C004C8DC2E4239773FE800000000001E3FD800000000001EC0072EA5F5768F4A3FD8D8BCA25C8A243FC8D8BCA25C8A24C0080000000000003CF5D3C9CA64F4503CE5D3C9CA64F450C0072EA5F5768F56BFD8D8BCA25C897CBFC8D8BCA25C897CC004C8DC2E42398DBFE7FFFFFFFFFFD3BFD7FFFFFFFFFFD3C000F876CCDF6CEDBFF0F876CCDF6CC6BFE0F876CCDF6CC6BFF8000000000030BFF4C8DC2E423972BFE4C8DC2E423972BFE8D8BCA25C8A48BFF72EA5F5768F48BFE72EA5F5768F48BD0F3DAEAF976E78BFF8000000000000BFE80000000000003FE8D8BCA25C8958BFF72EA5F5768F58BFE72EA5F5768F583FF7FFFFFFFFFFC2BFF4C8DC2E423992BFE4C8DC2E4239924000F876CCDF6CBFBFF0F876CCDF6CF4BFE0F876CCDF6CF44004C8DC2E42396CBFE8000000000044BFD800000000004440072EA5F5768F44BFD8D8BCA25C8A78BFC8D8BCA25C8A784008000000000000BD05D3C9CA64F450BCF5D3C9CA64F450400AAAAAAAAAAAAB000000000000000000000000000000004009C20DBB6749E73FDB9B7C429FB5943FCB9B7C429FB5944007181116F43FE63FEAAAAAAAAAAAA43FDAAAAAAAAAAAA44002DB2EAABF5C843FF2DB2EAABF5C7C3FE2DB2EAABF5C7C3FFAAAAAAAAAAAB83FF7181116F43FE03FE7181116F43FE03FEB9B7C429FB5C13FF9C20DBB6749E53FE9C20DBB6749E53CF840A752A90F763FFAAAAAAAAAAAAB3FEAAAAAAAAAAAABBFEB9B7C429FB5643FF9C20DBB6749EA3FE9C20DBB6749EABFFAAAAAAAAAAA903FF7181116F43FEC3FE7181116F43FECC002DB2EAABF5C743FF2DB2EAABF5C8D3FE2DB2EAABF5C8DC007181116F43FDA3FEAAAAAAAAAAACC3FDAAAAAAAAAAACCC009C20DBB6749E13FDB9B7C429FB5F03FCB9B7C429FB5F0C00AAAAAAAAAAAAB3CF840A752A90F763CE840A752A90F76C009C20DBB6749EEBFDB9B7C429FB535BFCB9B7C429FB535C007181116F43FF2BFEAAAAAAAAAAA79BFDAAAAAAAAAAA79C002DB2EAABF5C96BFF2DB2EAABF5C6ABFE2DB2EAABF5C6ABFFAAAAAAAAAAAE0BFF7181116F43FD4BFE7181116F43FD4BFEB9B7C429FB618BFF9C20DBB6749DFBFE9C20DBB6749DFBD115B2828A97643BFFAAAAAAAAAAAABBFEAAAAAAAAAAAAB3FEB9B7C429FB50DBFF9C20DBB6749F0BFE9C20DBB6749F03FFAAAAAAAAAAA67BFF7181116F43FF7BFE7181116F43FF74002DB2EAABF5C62BFF2DB2EAABF5C9EBFE2DB2EAABF5C9E4007181116F43FCEBFEAAAAAAAAAAAF6BFDAAAAAAAAAAAF64009C20DBB6749DBBFDB9B7C429FB64DBFCB9B7C429FB64D400AAAAAAAAAAAABBD0840A752A90F76BCF840A752A90F76400D55555555555600000000000000000000000000000000400C55758158047F3FDE5E3BE2E2E1573FCE5E3BE2E2E15740096745FFA6464A3FED55555555554F3FDD55555555554F4004BDE6889F4C2B3FF4BDE6889F4C223FE4BDE6889F4C223FFD5555555555653FF96745FFA646433FE96745FFA646433FEE5E3BE2E2E1883FFC55758158047C3FEC55758158047C3CFAAD84DAED2A9B3FFD5555555555563FED555555555556BFEE5E3BE2E2E1223FFC5575815804823FEC557581580482BFFD5555555555393FF96745FFA646503FE96745FFA64650C004BDE6889F4C193FF4BDE6889F4C353FE4BDE6889F4C35C0096745FFA6463D3FED55555555557B3FDD55555555557BC00C5575815804783FDE5E3BE2E2E1BC3FCE5E3BE2E2E1BCC00D5555555555563CFAAD84DAED2A9B3CEAAD84DAED2A9BC00C557581580486BFDE5E3BE2E2E0EEBFCE5E3BE2E2E0EEC0096745FFA64658BFED55555555551FBFDD55555555551FC004BDE6889F4C3FBFF4BDE6889F4C0EBFE4BDE6889F4C0EBFFD555555555591BFF96745FFA64637BFE96745FFA64637BFEE5E3BE2E2E1E8BFFC557581580475BFEC557581580475BD131778F987354ABFFD555555555556BFED5555555555563FEE5E3BE2E2E0C2BFFC557581580489BFEC5575815804893FFD55555555550BBFF96745FFA6465DBFE96745FFA6465D4004BDE6889F4C06BFF4BDE6889F4C47BFE4BDE6889F4C4740096745FFA6462FBFED5555555555A9BFDD5555555555A9400C557581580471BFDE5E3BE2E2E222BFCE5E3BE2E2E222400D555555555556BD0AAD84DAED2A9BBCFAAD84DAED2A9B401000000000000000000000000000000000000000000000400EE8DD4748BF153FE0907DC193068C3FD0907DC193068C400BB67AE8584CAD3FEFFFFFFFFFFFF83FDFFFFFFFFFFFF84006A09E667F3BD13FF6A09E667F3BC83FE6A09E667F3BC840000000000000083FFBB67AE8584CA63FEBB67AE8584CA63FF0907DC19306A73FFEE8DD4748BF123FEEE8DD4748BF123CFD1A62633145C040000000000000003FF0000000000000BFF0907DC193066F3FFEE8DD4748BF193FEEE8DD4748BF19BFFFFFFFFFFFFFE03FFBB67AE8584CB43FEBB67AE8584CB4C006A09E667F3BBE3FF6A09E667F3BDC3FE6A09E667F3BDCC00BB67AE8584C9F3FF00000000000143FE0000000000014C00EE8DD4748BF0E3FE0907DC19306C33FD0907DC19306C3C0100000000000003CFD1A62633145C03CED1A62633145C0C00EE8DD4748BF1DBFE0907DC1930653BFD0907DC1930653C00BB67AE8584CBCBFEFFFFFFFFFFFC4BFDFFFFFFFFFFFC4C006A09E667F3BE7BFF6A09E667F3BB2BFE6A09E667F3BB2C000000000000020BFFBB67AE8584C98BFEBB67AE8584C98BFF0907DC19306DBBFFEE8DD4748BF0BBFEEE8DD4748BF0BBD14D3C9CA64F450C000000000000000BFF00000000000003FF0907DC193063BBFFEE8DD4748BF20BFEEE8DD4748BF203FFFFFFFFFFFFFAEBFFBB67AE8584CC2BFEBB67AE8584CC24006A09E667F3BA9BFF6A09E667F3BF0BFE6A09E667F3BF0400BB67AE8584C90BFF000000000002DBFE000000000002D400EE8DD4748BF06BFE0907DC19306FBBFD0907DC19306FB4010000000000000BD0D1A62633145C0BCFD1A62633145C04011555555555555000000000000000000000000000000004010BE22869CBCD63FE1F1DD91B49C6D3FD1F1DD91B49C6D400E05AFD10A53103FF15555555555513FE155555555555140088356445F2B773FF88356445F2B6E3FE88356445F2B6E400155555555555E3FFE05AFD10A53093FEE05AFD10A53093FF1F1DD91B49C8A4000BE22869CBCD43FF0BE22869CBCD43CFF873FEB7560E540015555555555553FF1555555555555BFF1F1DD91B49C4D4000BE22869CBCD83FF0BE22869CBCD8C0015555555555443FFE05AFD10A53183FEE05AFD10A5318C0088356445F2B633FF88356445F2B833FE88356445F2B83C00E05AFD10A53013FF155555555556B3FE155555555556BC010BE22869CBCD23FE1F1DD91B49CA83FD1F1DD91B49CA8C0115555555555553CFF873FEB7560E53CEF873FEB7560E5C010BE22869CBCDABFE1F1DD91B49C2FBFD1F1DD91B49C2FC00E05AFD10A5320BFF1555555555535BFE1555555555535C0088356445F2B8FBFF88356445F2B56BFE88356445F2B56C001555555555578BFFE05AFD10A52F9BFEE05AFD10A52F9BFF1F1DD91B49CC2C000BE22869CBCD0BFF0BE22869CBCD0BD16901A9B42B356C001555555555555BFF15555555555553FF1F1DD91B49C15C000BE22869CBCDCBFF0BE22869CBCDC4001555555555529BFFE05AFD10A5327BFEE05AFD10A532740088356445F2B4CBFF88356445F2B99BFE88356445F2B99400E05AFD10A52F1BFF1555555555586BFE15555555555864010BE22869CBCCEBFE1F1DD91B49CE5BFD1F1DD91B49CE54011555555555555BD0F873FEB7560E5BCFF873FEB7560E54012AAAAAAAAAAAA00000000000000000000000000000000401207D669951A213FE3533D61D6324D3FD3533D61D6324D40102A725CDE2CBA3FF2AAAAAAAAAAA53FE2AAAAAAAAAAA5400A660E223F1B1E3FFA660E223F1B133FEA660E223F1B134002AAAAAAAAAAB340002A725CDE2CB63FF02A725CDE2CB63FF3533D61D6326D400207D669951A1F3FF207D669951A1F3D00FA0EB9DCBE054002AAAAAAAAAAAA3FF2AAAAAAAAAAAABFF3533D61D6322B400207D669951A233FF207D669951A23C002AAAAAAAAAA9740002A725CDE2CBE3FF02A725CDE2CBEC00A660E223F1B073FFA660E223F1B2A3FEA660E223F1B2AC0102A725CDE2CB23FF2AAAAAAAAAAC13FE2AAAAAAAAAAC1C01207D669951A1D3FE3533D61D6328D3FD3533D61D6328DC012AAAAAAAAAAAA3D00FA0EB9DCBE053CF0FA0EB9DCBE05C01207D669951A26BFE3533D61D6320BBFD3533D61D6320BC0102A725CDE2CC2BFF2AAAAAAAAAA87BFE2AAAAAAAAAA87C00A660E223F1B37BFFA660E223F1AF9BFEA660E223F1AF9C002AAAAAAAAAACFC0002A725CDE2CADBFF02A725CDE2CADBFF3533D61D632A9C00207D669951A1BBFF207D669951A1BBD184C6B6C20725CC002AAAAAAAAAAAABFF2AAAAAAAAAAAA3FF3533D61D631EFC00207D669951A27BFF207D669951A274002AAAAAAAAAA7AC0002A725CDE2CC6BFF02A725CDE2CC6400A660E223F1AEFBFFA660E223F1B42BFEA660E223F1B4240102A725CDE2CA9BFF2AAAAAAAAAADEBFE2AAAAAAAAAADE401207D669951A18BFE3533D61D632CFBFD3533D61D632CF4012AAAAAAAAAAAABD10FA0EB9DCBE05BD00FA0EB9DCBE054013FFFFFFFFFFFF000000000000000000000000000000004013518A4C8D776C3FE4B49D31F7C82E3FD4B49D31F7C82E4011520CD1372FEB3FF3FFFFFFFFFFFA3FE3FFFFFFFFFFFA400C48C6001F0AC43FFC48C6001F0AB93FEC48C6001F0AB940040000000000094001520CD1372FE73FF1520CD1372FE73FF4B49D31F7C8504003518A4C8D776A3FF3518A4C8D776A3D02307D7DFECB974003FFFFFFFFFFFF3FF3FFFFFFFFFFFFBFF4B49D31F7C80A4003518A4C8D776F3FF3518A4C8D776FC003FFFFFFFFFFEB4001520CD1372FF03FF1520CD1372FF0C00C48C6001F0AAC3FFC48C6001F0AD23FEC48C6001F0AD2C011520CD1372FE33FF40000000000183FE4000000000018C013518A4C8D77683FE4B49D31F7C8733FD4B49D31F7C873C013FFFFFFFFFFFF3D02307D7DFECB973CF2307D7DFECB97C013518A4C8D7771BFE4B49D31F7C7E7BFD4B49D31F7C7E7C011520CD1372FF5BFF3FFFFFFFFFFDABFE3FFFFFFFFFFDAC00C48C6001F0ADFBFFC48C6001F0A9DBFEC48C6001F0A9DC004000000000027C001520CD1372FDEBFF1520CD1372FDEBFF4B49D31F7C891C003518A4C8D7766BFF3518A4C8D7766BD1A08BC3CFE3163C003FFFFFFFFFFFFBFF3FFFFFFFFFFFF3FF4B49D31F7C7C9C003518A4C8D7773BFF3518A4C8D77734003FFFFFFFFFFCCC001520CD1372FF8BFF1520CD1372FF8400C48C6001F0A92BFFC48C6001F0AEBBFEC48C6001F0AEB4011520CD1372FD9BFF4000000000037BFE40000000000374013518A4C8D7763BFE4B49D31F7C8B9BFD4B49D31F7C8B94013FFFFFFFFFFFFBD12307D7DFECB97BD02307D7DFECB9740155555555555540000000000000000000000000000000040149B3E2F85D4B73FE615FD02195E0F3FD615FD02195E0F401279A74590331D3FF555555555554F3FE555555555554F400E2B7DDDFEFA6A3FFE2B7DDDFEFA5E3FEE2B7DDDFEFA5E400555555555555F400279A7459033183FF279A7459033183FF615FD02195E3340049B3E2F85D4B53FF49B3E2F85D4B53D0366EC4220D92940055555555555543FF5555555555554BFF615FD02195DE840049B3E2F85D4BA3FF49B3E2F85D4BAC00555555555553F400279A7459033223FF279A745903322C00E2B7DDDFEFA513FFE2B7DDDFEFA793FEE2B7DDDFEFA79C01279A7459033143FF555555555556F3FE555555555556FC0149B3E2F85D4B33FE615FD02195E583FD615FD02195E58C0155555555555543D0366EC4220D9293CF366EC4220D929C0149B3E2F85D4BDBFE615FD02195DC3BFD615FD02195DC3C01279A745903327BFF555555555552CBFE555555555552CC00E2B7DDDFEFA87BFFE2B7DDDFEFA41BFEE2B7DDDFEFA41C00555555555557FC00279A74590330FBFF279A74590330FBFF615FD02195E78C0049B3E2F85D4B1BFF49B3E2F85D4B1BD1BC50D0DDBF069C005555555555554BFF55555555555543FF615FD02195DA3C0049B3E2F85D4BFBFF49B3E2F85D4BF400555555555551DC00279A74590332BBFF279A74590332B400E2B7DDDFEFA35BFFE2B7DDDFEFA93BFEE2B7DDDFEFA93401279A74590330ABFF5555555555590BFE555555555559040149B3E2F85D4ADBFE615FD02195EA3BFD615FD02195EA34015555555555554BD1366EC4220D929BD0366EC4220D9294016AAAAAAAAAAA9000000000000000000000000000000004015E4F2127E32033FE7775CD23AF3EF3FD7775CD23AF3EF4013A141B9E9364E3FF6AAAAAAAAAAA33FE6AAAAAAAAAAA34010071ADDEF75084000071ADDEF75023FF0071ADDEF75024006AAAAAAAAAAB44003A141B9E936493FF3A141B9E936493FF7775CD23AF4164005E4F2127E32003FF5E4F2127E32003D049D5B0642E6BC4006AAAAAAAAAAA93FF6AAAAAAAAAAA9BFF7775CD23AF3C64005E4F2127E32053FF5E4F2127E3205C006AAAAAAAAAA924003A141B9E936533FF3A141B9E93653C010071ADDEF74FB4000071ADDEF75103FF0071ADDEF7510C013A141B9E936453FF6AAAAAAAAAAC53FE6AAAAAAAAAAC5C015E4F2127E31FE3FE7775CD23AF43D3FD7775CD23AF43DC016AAAAAAAAAAA93D049D5B0642E6BC3CF49D5B0642E6BCC015E4F2127E3208BFE7775CD23AF39FBFD7775CD23AF39FC013A141B9E93659BFF6AAAAAAAAAA7FBFE6AAAAAAAAAA7FC010071ADDEF7518C000071ADDEF74F2BFF0071ADDEF74F2C006AAAAAAAAAAD6C003A141B9E93640BFF3A141B9E93640BFF7775CD23AF45FC005E4F2127E31FCBFF5E4F2127E31FCBD1D815DDEB9AF6FC006AAAAAAAAAAA9BFF6AAAAAAAAAAA93FF7775CD23AF37DC005E4F2127E320ABFF5E4F2127E320A4006AAAAAAAAAA6FC003A141B9E9365DBFF3A141B9E9365D4010071ADDEF74ECC000071ADDEF751EBFF0071ADDEF751E4013A141B9E9363ABFF6AAAAAAAAAAE9BFE6AAAAAAAAAAE94015E4F2127E31F8BFE7775CD23AF48DBFD7775CD23AF48D4016AAAAAAAAAAA9BD149D5B0642E6BCBD049D5B0642E6BC4017FFFFFFFFFFFE0000000000000000000000000000000040172EA5F5768F4E3FE8D8BCA25C89D03FD8D8BCA25C89D04014C8DC2E4239803FF7FFFFFFFFFFF83FE7FFFFFFFFFFF84010F876CCDF6CDB4000F876CCDF6CD53FF0F876CCDF6CD5400800000000000A4004C8DC2E42397B3FF4C8DC2E42397B3FF8D8BCA25C89F840072EA5F5768F4C3FF72EA5F5768F4C3D05D3C9CA64F44E4007FFFFFFFFFFFE3FF7FFFFFFFFFFFEBFF8D8BCA25C89A440072EA5F5768F513FF72EA5F5768F51C007FFFFFFFFFFE64004C8DC2E4239853FF4C8DC2E423985C010F876CCDF6CCD4000F876CCDF6CE43FF0F876CCDF6CE4C014C8DC2E4239763FF800000000001C3FE800000000001CC0172EA5F5768F493FE8D8BCA25C8A223FD8D8BCA25C8A22C017FFFFFFFFFFFE3D05D3C9CA64F44E3CF5D3C9CA64F44EC0172EA5F5768F54BFE8D8BCA25C897ABFD8D8BCA25C897AC014C8DC2E42398BBFF7FFFFFFFFFFD1BFE7FFFFFFFFFFD1C010F876CCDF6CECC000F876CCDF6CC4BFF0F876CCDF6CC4C00800000000002EC004C8DC2E423970BFF4C8DC2E423970BFF8D8BCA25C8A46C0072EA5F5768F46BFF72EA5F5768F46BD1F3DAEAF976E75C007FFFFFFFFFFFEBFF7FFFFFFFFFFFE3FF8D8BCA25C8956C0072EA5F5768F56BFF72EA5F5768F564007FFFFFFFFFFC1C004C8DC2E423990BFF4C8DC2E4239904010F876CCDF6CBDC000F876CCDF6CF3BFF0F876CCDF6CF34014C8DC2E42396ABFF8000000000041BFE800000000004140172EA5F5768F43BFE8D8BCA25C8A76BFD8D8BCA25C8A764017FFFFFFFFFFFEBD15D3C9CA64F44EBD05D3C9CA64F44E40195555555555530000000000000000000000000000000040187859D86EEC993FEA3A1C727E1FB13FDA3A1C727E1FB14015F076A29B3CB23FF955555555554D3FE955555555554D4011E9D2BBCF64AE4001E9D2BBCF64A73FF1E9D2BBCF64A740095555555555604005F076A29B3CAC3FF5F076A29B3CAC3FFA3A1C727E1FDB40087859D86EEC973FF87859D86EEC973D070A388E8701E140095555555555533FF9555555555553BFFA3A1C727E1F8340087859D86EEC9C3FF87859D86EEC9CC00955555555553A4005F076A29B3CB73FF5F076A29B3CB7C011E9D2BBCF649F4001E9D2BBCF64B73FF1E9D2BBCF64B7C015F076A29B3CA73FF95555555555733FE9555555555573C0187859D86EEC933FEA3A1C727E20083FDA3A1C727E2008C0195555555555533D070A388E8701E13CF70A388E8701E1C0187859D86EEC9FBFEA3A1C727E1F56BFDA3A1C727E1F56C015F076A29B3CBDBFF9555555555524BFE9555555555524C011E9D2BBCF64C0C001E9D2BBCF6496BFF1E9D2BBCF6496C009555555555586C005F076A29B3CA1BFF5F076A29B3CA1BFFA3A1C727E202EC0087859D86EEC91BFF87859D86EEC91BD207CFFC03A96BEC009555555555553BFF95555555555533FFA3A1C727E1F30C0087859D86EECA2BFF87859D86EECA24009555555555512C005F076A29B3CC2BFF5F076A29B3CC24011E9D2BBCF648FC001E9D2BBCF64C7BFF1E9D2BBCF64C74015F076A29B3C9BBFF955555555559ABFE955555555559A40187859D86EEC8DBFEA3A1C727E2060BFDA3A1C727E20604019555555555553BD170A388E8701E1BD070A388E8701E1401AAAAAAAAAAAA8000000000000000000000000000000004019C20DBB6749E43FEB9B7C429FB5913FDB9B7C429FB5914017181116F43FE33FFAAAAAAAAAAAA13FEAAAAAAAAAAAA14012DB2EAABF5C824002DB2EAABF5C7A3FF2DB2EAABF5C7A400AAAAAAAAAAAB54007181116F43FDD3FF7181116F43FDD3FFB9B7C429FB5BE4009C20DBB6749E23FF9C20DBB6749E23D0840A752A90F73400AAAAAAAAAAAA83FFAAAAAAAAAAAA8BFFB9B7C429FB5614009C20DBB6749E83FF9C20DBB6749E8C00AAAAAAAAAAA8D4007181116F43FE93FF7181116F43FE9C012DB2EAABF5C724002DB2EAABF5C8B3FF2DB2EAABF5C8BC017181116F43FD83FFAAAAAAAAAAAC93FEAAAAAAAAAAAC9C019C20DBB6749DE3FEB9B7C429FB5ED3FDB9B7C429FB5EDC01AAAAAAAAAAAA83D0840A752A90F733CF840A752A90F73C019C20DBB6749EBBFEB9B7C429FB532BFDB9B7C429FB532C017181116F43FF0BFFAAAAAAAAAAA76BFEAAAAAAAAAAA76C012DB2EAABF5C94C002DB2EAABF5C68BFF2DB2EAABF5C68C00AAAAAAAAAAADDC007181116F43FD2BFF7181116F43FD2BFFB9B7C429FB615C009C20DBB6749DCBFF9C20DBB6749DCBD215B2828A97641C00AAAAAAAAAAAA8BFFAAAAAAAAAAAA83FFB9B7C429FB50AC009C20DBB6749EDBFF9C20DBB6749ED400AAAAAAAAAAA64C007181116F43FF5BFF7181116F43FF54012DB2EAABF5C60C002DB2EAABF5C9BBFF2DB2EAABF5C9B4017181116F43FCBBFFAAAAAAAAAAAF3BFEAAAAAAAAAAAF34019C20DBB6749D8BFEB9B7C429FB64ABFDB9B7C429FB64A401AAAAAAAAAAAA8BD1840A752A90F73BD0840A752A90F73401BFFFFFFFFFFFD00000000000000000000000000000000401B0BC19E5FA72F3FECFCDC12C14B723FDCFCDC12C14B7240183FAB8B4D43153FFBFFFFFFFFFFF63FEBFFFFFFFFFFF64013CC8A99AF54554003CC8A99AF544D3FF3CC8A99AF544D400C00000000000B40083FAB8B4D430F3FF83FAB8B4D430F3FFCFCDC12C14BA1400B0BC19E5FA72D3FFB0BC19E5FA72D3D09771616CB1D05400BFFFFFFFFFFFD3FFBFFFFFFFFFFFDBFFCFCDC12C14B3F400B0BC19E5FA7333FFB0BC19E5FA733C00BFFFFFFFFFFE140083FAB8B4D431B3FF83FAB8B4D431BC013CC8A99AF54444003CC8A99AF545E3FF3CC8A99AF545EC0183FAB8B4D43093FFC0000000000203FEC000000000020C01B0BC19E5FA7293FECFCDC12C14BD23FDCFCDC12C14BD2C01BFFFFFFFFFFFD3D09771616CB1D053CF9771616CB1D05C01B0BC19E5FA736BFECFCDC12C14B0EBFDCFCDC12C14B0EC0183FAB8B4D4322BFFBFFFFFFFFFFC9BFEBFFFFFFFFFFC9C013CC8A99AF5468C003CC8A99AF543ABFF3CC8A99AF543AC00C000000000035C0083FAB8B4D4302BFF83FAB8B4D4302BFFCFCDC12C14BFCC00B0BC19E5FA727BFFB0BC19E5FA727BD223950911855C4C00BFFFFFFFFFFFDBFFBFFFFFFFFFFFD3FFCFCDC12C14AE4C00B0BC19E5FA739BFFB0BC19E5FA739400BFFFFFFFFFFB5C0083FAB8B4D4327BFF83FAB8B4D43274013CC8A99AF5432C003CC8A99AF5470BFF3CC8A99AF547040183FAB8B4D42FBBFFC00000000004CBFEC00000000004C401B0BC19E5FA722BFECFCDC12C14C34BFDCFCDC12C14C34401BFFFFFFFFFFFDBD19771616CB1D05BD09771616CB1D05401D55555555555200000000000000000000000000000000401C55758158047B3FEE5E3BE2E2E1533FDE5E3BE2E2E15340196745FFA646463FFD55555555554B3FED55555555554B4014BDE6889F4C284004BDE6889F4C203FF4BDE6889F4C20400D55555555556140096745FFA646403FF96745FFA646403FFE5E3BE2E2E184400C5575815804783FFC5575815804783D0AAD84DAED2A98400D5555555555523FFD555555555552BFFE5E3BE2E2E11D400C55758158047E3FFC55758158047EC00D55555555553540096745FFA6464D3FF96745FFA6464DC014BDE6889F4C164004BDE6889F4C323FF4BDE6889F4C32C0196745FFA6463A3FFD5555555555773FED555555555577C01C5575815804743FEE5E3BE2E2E1B73FDE5E3BE2E2E1B7C01D5555555555523D0AAD84DAED2A983CFAAD84DAED2A98C01C557581580482BFEE5E3BE2E2E0EABFDE5E3BE2E2E0EAC0196745FFA64654BFFD55555555551BBFED55555555551BC014BDE6889F4C3CC004BDE6889F4C0BBFF4BDE6889F4C0BC00D55555555558DC0096745FFA64633BFF96745FFA64633BFFE5E3BE2E2E1E3C00C557581580472BFFC557581580472BD231778F9873547C00D555555555552BFFD5555555555523FFE5E3BE2E2E0BEC00C557581580485BFFC557581580485400D555555555507C0096745FFA6465ABFF96745FFA6465A4014BDE6889F4C03C004BDE6889F4C44BFF4BDE6889F4C4440196745FFA6462CBFFD5555555555A4BFED5555555555A4401C55758158046DBFEE5E3BE2E2E21EBFDE5E3BE2E2E21E401D555555555552BD1AAD84DAED2A98BD0AAD84DAED2A98401EAAAAAAAAAAA700000000000000000000000000000000401D9F29645061C63FEFBF9BB30477333FDFBF9BB3047733401A8EE073FF49783FFEAAAAAAAAAA9F3FEEAAAAAAAAAA9F4015AF42778F43FB4005AF42778F43F23FF5AF42778F43F2400EAAAAAAAAAAB6400A8EE073FF49713FFA8EE073FF49713FFFBF9BB3047767400D9F29645061C33FFD9F29645061C33D0BE3F39F0F382A400EAAAAAAAAAAA73FFEAAAAAAAAAAA7BFFFBF9BB30476FC400D9F29645061CA3FFD9F29645061CAC00EAAAAAAAAAA88400A8EE073FF497F3FFA8EE073FF497FC015AF42778F43E94005AF42778F44063FF5AF42778F4406C01A8EE073FF496B3FFEAAAAAAAAAACD3FEEAAAAAAAAAACDC01D9F29645061BF3FEFBF9BB304779D3FDFBF9BB304779DC01EAAAAAAAAAAA73D0BE3F39F0F382A3CFBE3F39F0F382AC01D9F29645061CEBFEFBF9BB30476C6BFDFBF9BB30476C6C01A8EE073FF4986BFFEAAAAAAAAAA6EBFEEAAAAAAAAAA6EC015AF42778F4410C005AF42778F43DDBFF5AF42778F43DDC00EAAAAAAAAAAE4C00A8EE073FF4964BFFA8EE073FF4964BFFFBF9BB30477CBC00D9F29645061BCBFFD9F29645061BCBD23F5A161F614CAC00EAAAAAAAAAAA7BFFEAAAAAAAAAAA73FFFBF9BB3047698C00D9F29645061D0BFFD9F29645061D0400EAAAAAAAAAA58C00A8EE073FF498CBFFA8EE073FF498C4015AF42778F43D5C005AF42778F4419BFF5AF42778F4419401A8EE073FF495CBFFEAAAAAAAAAAFDBFEEAAAAAAAAAAFD401D9F29645061B8BFEFBF9BB3047808BFDFBF9BB3047808401EAAAAAAAAAAA7BD1BE3F39F0F382ABD0BE3F39F0F382A401FFFFFFFFFFFFC00000000000000000000000000000000401EE8DD4748BF113FF0907DC193068A3FE0907DC193068A401BB67AE8584CAA3FFFFFFFFFFFFFF43FEFFFFFFFFFFFF44016A09E667F3BCE4006A09E667F3BC53FF6A09E667F3BC54010000000000006400BB67AE8584CA33FFBB67AE8584CA34000907DC19306A5400EE8DD4748BF0E3FFEE8DD4748BF0E3D0D1A62633145BC400FFFFFFFFFFFFC3FFFFFFFFFFFFFFCC000907DC193066D400EE8DD4748BF153FFEE8DD4748BF15C00FFFFFFFFFFFDC400BB67AE8584CB13FFBB67AE8584CB1C016A09E667F3BBB4006A09E667F3BD93FF6A09E667F3BD9C01BB67AE8584C9C40000000000000123FF0000000000012C01EE8DD4748BF0A3FF0907DC19306C13FE0907DC19306C1C01FFFFFFFFFFFFC3D0D1A62633145BC3CFD1A62633145BCC01EE8DD4748BF19BFF0907DC1930651BFE0907DC1930651C01BB67AE8584CB9BFFFFFFFFFFFFFC0BFEFFFFFFFFFFFC0C016A09E667F3BE4C006A09E667F3BAFBFF6A09E667F3BAFC01000000000001EC00BB67AE8584C95BFFBB67AE8584C95C000907DC19306D9C00EE8DD4748BF07BFFEE8DD4748BF07BD24D3C9CA64F44DC00FFFFFFFFFFFFCBFFFFFFFFFFFFFFC4000907DC1930639C00EE8DD4748BF1CBFFEE8DD4748BF1C400FFFFFFFFFFFAAC00BB67AE8584CBFBFFBB67AE8584CBF4016A09E667F3BA6C006A09E667F3BEDBFF6A09E667F3BED401BB67AE8584C8DC00000000000002BBFF000000000002B401EE8DD4748BF02BFF0907DC19306F9BFE0907DC19306F9401FFFFFFFFFFFFCBD1D1A62633145BCBD0D1A62633145BC-%,ORIENTATIONG6$$"#g!""$"#s""!

Our second step is to set up the flux integral. Int(Int((vfield.[Diff(surface,t)*X*Diff(surface,s)]), trange), srange);

LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtRiM2JC1JIi5HRiQ2JC0mSSdWZWN0b3JHRiQ2I0knY29sdW1uR0YnNiMvSSQlaWRHRiciKHcxKkc3IyooLUklRGlmZkdGJDYkLUYvNiMvRjUiKFNVMSRJInRHRiciIiJJIlhHRidGQS1GOjYkRjxJInNHRidGQS9GQDsiIiEiIiMvRkU7RkgsJEkjUGlHRiVGSQ==

The third step is to replace x, y, and z in the vector field with the parameterizations of x and y at the appropriate point on the surface. paramfield := <eval(vfield[1],{x=surface[1],y=surface[2],z=surface[3]}), eval(vfield[2],{x=surface[1],y=surface[2],z=surface[3]}), eval(vfield[3],{x=surface[1],y=surface[2],z=surface[3]})>: print(`the function on the surface is `, paramfield);

NiRJQHRoZX5mdW5jdGlvbn5vbn50aGV+c3VyZmFjZX5pc35HNiItJkknVmVjdG9yRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YkNiNJJ2NvbHVtbkdGJDYjL0kkJWlkR0YkIidjKycq

The fourth step is to take the derivative of the parameterized surface with respect to the parameters s and t. This gives us two tangent vectors to the surface. tanvect := map(diff,surface,t): tanvecs := map(diff,surface,s): print(`the t-tangent vector to the surface is `, tanvect); print(`the s-tangent vector to the surface is `, tanvecs);

NiRJSHRoZX50LXRhbmdlbnR+dmVjdG9yfnRvfnRoZX5zdXJmYWNlfmlzfkc2Ii0mSSdWZWN0b3JHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2I0knY29sdW1uR0YkNiMvSSQlaWRHRiQiKFttJW8=

NiRJSHRoZX5zLXRhbmdlbnR+dmVjdG9yfnRvfnRoZX5zdXJmYWNlfmlzfkc2Ii0mSSdWZWN0b3JHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiQ2I0knY29sdW1uR0YkNiMvSSQlaWRHRiQiKENwdyc=

The fifth step is to take the cross product of those tangent vectors to get a normal vector. normvector := CrossProduct(tanvect, tanvecs);

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIoV3N3Jw==

The sixth step is to evaluate the dot product in the integrand and simplify. At this point we have reduced the flux integral over a surface to an ordinary iterated integral over a section of a plane. paramfield; normvector; simplify(paramfield.normvector);

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCInYysnKg==

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIoV3N3Jw==

LCRJInRHNiIiIik=

integrand := simplify(paramfield. normvector): print("The integrand is ", integrand);

NiRRMlRoZX5pbnRlZ3JhbmR+aXN+NiIsJEkidEdGJCIiKQ==

Finally we can evaluate the integral. We have Maple evaluate the integral in steps. Int(Int(integrand, trange), srange); Int(int(integrand, trange), srange); int(int(integrand, trange), srange);

LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtRiM2JCwkSSJ0R0YnIiIpL0YsOyIiISIiIy9JInNHRic7RjAsJEkjUGlHRiVGMQ==

LUkkSW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQiIzsvSSJzR0YnOyIiISwkSSNQaUdGJSIiIw==

LCRJI1BpRyUqcHJvdGVjdGVkRyIjSw==

1. Let F be the field [x, y, z]. Let S be the surface z = x^2 + y^2 with z \342\211\244 4. (You probably want to parameterize the surface in terms of r and theta.) Compute the flux integral of F through S by hand. Then use Maple to check your calculations at each step.

For convenience we block the code for those seven steps into two procedures we can use, one for plotting, and one for setting up the integral and evaluating. We also set up a black box procedure that evaluates without showing all the steps. surfaceplot := proc(vecfield, path, trange, srange, xrange, yrange, zrange) local vfieldplot, paramsurf; vfieldplot := fieldplot3d(vfield,xrange, yrange, zrange, grid=[5, 5, 5]): paramsurf := plot3d(surface,trange, srange): display({vfieldplot, paramsurf}, axes=boxed); end: fluxintegral:= proc(vecfield, surface, trange, srange) local intval, paramfield, tanvect, tanvecs, normvector, integrand; print("the vector field ", vecfield); print("the surface ", surface, " with ", trange, " and ", srange); print(Int(Int((vfield.[Diff(surface,t)*X*Diff(surface,s)]), trange), srange)); paramfield := <eval(vfield[1],{x=surface[1],y=surface[2],z=surface[3]}), eval(vfield[2],{x=surface[1],y=surface[2],z=surface[3]}), eval(vfield[3],{x=surface[1],y=surface[2],z=surface[3]})>: print("the vector field on the surface is ", paramfield); tanvect := map(diff,surface,t): tanvecs := map(diff,surface,s): print("the t-tangent vector to the surface is ", tanvect); print("the s-tangent vector to the surface is ", tanvecs); normvector := CrossProduct(tanvect, tanvecs): integrand := simplify(DotProduct(paramfield, normvector, conjugate=false)): print("the normal vector to the surface is ", normvector); print("The integrand is ", integrand); print(Int(Int(integrand, trange), srange)); print(Int(int(integrand, trange), srange)); intval := int(int(integrand, trange), srange); print("the integral is ", intval); end: With these procedures defined we can define a vector field and a parameterized surface and find the flux integral. vfield := <x, y, z>; surface := <s*cos(t), s*sin(t), s^2>; trange := t=0..2*Pi; srange := s=0..2;

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCIoIyozXSg=

LSZJJ1ZlY3Rvckc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYjSSdjb2x1bW5HRig2Iy9JJCVpZEdGKCInV04iKQ==