Skip to content

Instantly share code, notes, and snippets.

@paulgribble
Created November 21, 2012 22:52
Show Gist options
  • Select an option

  • Save paulgribble/4128370 to your computer and use it in GitHub Desktop.

Select an option

Save paulgribble/4128370 to your computer and use it in GitHub Desktop.
torque model
{
"metadata": {
"name": "torqueModel"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Torque Control of a Two-Joint Planar Arm**\n",
"\n",
"Paul Gribble, November 2012\n",
"\n",
"# Utility functions\n",
"\n",
"Here are some utility functions to make our life easier.\n",
"\n",
"* `T,H,Hd,Hdd = minjerk(H1,H2,t,n)`\n",
"Given hand initial and final positions H1 and H2 and movement duration t and total number of sample points in between, will return the hand path H, velocities Hd and accelerations Hdd that satisfy minimum jerk\n",
"\n",
"* `H,E = joints_to_hand(A,aparams)`, `A = hand_to_joints(H,aparams)`\n",
"Translates between hand and joint space\n",
"\n",
"* `J = jacobian(A,aparams)`, `Jd = jacobian_d(A,aparams)`\n",
"Computes jacobian (and its derivative) defined by $\\frac{\\partial H}{\\partial \\theta}$ where $H=(H_{x},H_{y})$ and $\\theta=(\\theta_{1},\\theta_{2})$\n",
"\n",
"* `T = getInterp(X, Xt, ti)`\n",
"Given a matrix [n x 2] of inputs and a matrix [n x 1] of time points, and a single time `ti`, this will interpolate (linearly) to get the inputs at time `ti`\n",
"\n",
"* `M,C = compute_dynamics_terms(A,Ad,aparams)`\n",
"A utility function to compute Coriolis-centrifugal and inertial terms for limb dynamics, given joint angles `A`, joint velocities `Ad` and our `aparams` dictionary (containing limb anthromoporphic parameters)\n",
"\n",
"* `T = inverse_dynamics(A,Ad,Add,aparams)`\n",
"Given [n x 2] matrices for joint angles `A`, velocities `Ad` and accelerations `Add`, and `aparams` dictionary, will compute inverse dynamics and return a [n x 2] matrix of driving joint torques `T`\n",
"\n",
"* `state_d = forward_dynamics(state, t, aparams)`\n",
"This is our ode function for running forward dynamics of the limb (e.g. using `odeint()` from `scipy.integrate`). We include position and velocity feedback around desired joint positions and joint velocities. Stiffness and damping matrices are taken (roughly) from Tamar Flash's paper, The Control of Hand Equilibrium Trajectories in Multi-Joint Arm Movements, Biol Cybern 57, 257-274 (1987)\n",
"\n",
"* `t,H,A,Ad,Add = get_min_jerk_movement(H1,H2,movtime,padtime=0.2)`\n",
"A wrapper function that will take hand starting and ending positions `H1` and `H1`, a movement time `movtime` and a pad time `padtime` (stationary limb before and after movement), this will compute a min jerk trajectory and return time vector `t`, hand position matrix `H`, joint positions, velocities and accelerations `A`, `Ad`, `Add`\n",
"\n",
"* `plot_trajectory(t,H,A)`\n",
"A wrapper function to make a nice plot of a hand movement\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def minjerk(H1,H2,t,n):\n",
"\t\"\"\"\n",
"\tGiven hand initial position H1=(x1,y1), final position H2=(x2,y2) and movement duration t,\n",
"\tand the total number of desired sampled points n,\n",
"\tCalculates the hand path H over time T that satisfies minimum-jerk.\n",
"\tAlso returns derivatives Hd and Hdd\n",
"\t\n",
"\tFlash, Tamar, and Neville Hogan. \"The coordination of arm\n",
" movements: an experimentally confirmed mathematical model.\" The\n",
" journal of Neuroscience 5, no. 7 (1985): 1688-1703.\n",
"\t\"\"\"\n",
"\tT = linspace(0,t,n)\n",
"\tH = zeros((n,2))\n",
"\tHd = zeros((n,2))\n",
"\tHdd = zeros((n,2))\n",
"\tfor i in range(n):\n",
"\t\ttau = T[i]/t\n",
"\t\tH[i,0] = H1[0] + ((H1[0]-H2[0])*(15*(tau**4) - (6*tau**5) - (10*tau**3)))\n",
"\t\tH[i,1] = H1[1] + ((H1[1]-H2[1])*(15*(tau**4) - (6*tau**5) - (10*tau**3)))\n",
"\t\tHd[i,0] = (H1[0] - H2[0])*(-30*T[i]**4/t**5 + 60*T[i]**3/t**4 - 30*T[i]**2/t**3)\n",
"\t\tHd[i,1] = (H1[1] - H2[1])*(-30*T[i]**4/t**5 + 60*T[i]**3/t**4 - 30*T[i]**2/t**3)\n",
"\t\tHdd[i,0] = (H1[0] - H2[0])*(-120*T[i]**3/t**5 + 180*T[i]**2/t**4 - 60*T[i]/t**3)\n",
"\t\tHdd[i,1] = (H1[1] - H2[1])*(-120*T[i]**3/t**5 + 180*T[i]**2/t**4 - 60*T[i]/t**3)\n",
"\treturn T,H,Hd,Hdd"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def joints_to_hand(A,aparams):\n",
"\t\"\"\"\n",
"\tGiven joint angles A=(a1,a2) and anthropometric params aparams,\n",
"\treturns hand position H=(hx,hy) and elbow position E=(ex,ey)\n",
"\tNote: A must be [n x 2] where n must be at least 1\n",
"\t\"\"\"\n",
"\tl1 = aparams['l1']\n",
"\tl2 = aparams['l2']\n",
"\tn = shape(A)[0]\n",
"\tE = zeros((n,2))\n",
"\tH = zeros((n,2))\n",
"\tfor i in range(n):\n",
"\t \tE[i,0] = l1 * cos(A[i,0])\n",
"\t \tE[i,1] = l1 * sin(A[i,0])\n",
"\t \tH[i,0] = E[i,0] + (l2 * cos(A[i,0]+A[i,1]))\n",
"\t \tH[i,1] = E[i,1] + (l2 * sin(A[i,0]+A[i,1]))\n",
"\treturn H,E\n",
"\n",
"def hand_to_joints(H,aparams):\n",
"\t\"\"\"\n",
"\tGiven hand position H=(hx,hy) and anthropometric params aparams,\n",
"\treturns joint angles A=(a1,a2)\n",
"\tNote: H must be [n x 2] where n must be at least 1\n",
"\t\"\"\"\n",
"\tl1 = aparams['l1']\n",
"\tl2 = aparams['l2']\n",
"\tn = shape(H)[0]\n",
"\tA = zeros((n,2))\n",
"\tfor i in range(n):\n",
"\t\tA[i,1] = arccos(((H[i,0]*H[i,0])+(H[i,1]*H[i,1])-(l1*l1)-(l2*l2))/(2.0*l1*l2))\n",
"\t\tA[i,0] = arctan(H[i,1]/H[i,0]) - arctan((l2*sin(A[i,1]))/(l1+(l2*cos(A[i,1]))))\n",
"\t\tif A[i,0] < 0:\n",
"\t\t\tA[i,0] = A[i,0] + pi\n",
"\t\telif A[i,0] > pi:\n",
"\t\t\tA[i,0] = A[i,0] - pi\n",
"\treturn A"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def jacobian(A,aparams):\n",
"\t\"\"\"\n",
"\tGiven joint angles A=(a1,a2)\n",
"\treturns the Jacobian matrix J(q) = dx/dA\n",
"\t\"\"\"\n",
"\tl1 = aparams['l1']\n",
"\tl2 = aparams['l2']\n",
"\tdx1dA1 = -l1*sin(A[0]) - l2*sin(A[0]+A[1])\n",
"\tdx1dA2 = -l2*sin(A[0]+A[1])\n",
"\tdx2dA1 = l1*cos(A[0]) + l2*cos(A[0]+A[1])\n",
"\tdx2dA2 = l2*cos(A[0]+A[1])\n",
"\tJ = array([[dx1dA1,dx1dA2],[dx2dA1,dx2dA2]])\n",
"\treturn J\n",
"\n",
"def jacobian_d(A,Ad,aparams):\n",
"\t\"\"\"\n",
"\tGiven joint angles A=(a1,a2) and velocities Ad=(a1d,a2d)\n",
"\treturns the time derivative of the Jacobian matrix d/dt (J)\n",
"\t\"\"\"\n",
"\tl1 = aparams['l1']\n",
"\tl2 = aparams['l2']\n",
"\tJd11 = -l1*cos(A[0])*Ad[0] - l2*(Ad[0] + Ad[1])*cos(A[0] + A[1])\n",
"\tJd12 = -l2*(Ad[0] + Ad[1])*cos(A[0] + A[1])\n",
"\tJd21 = -l1*sin(A[0])*Ad[0] - l2*(Ad[0] + Ad[1])*sin(A[0] + A[1])\n",
"\tJd22 = -l2*(Ad[0] + Ad[1])*sin(A[0] + A[1])\n",
"\tJd = array([[Jd11, Jd12],[Jd21, Jd22]])\n",
"\treturn Jd"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def getInterp(X, Xt, ti):\n",
"\t\"\"\"\n",
"\tGiven a signal X defined over a time vector Xt,\n",
"\treturns an interpolated signal at an intermediate time point ti\n",
"\tNote: X and Xt must be [n x 2] where n must be at least 1\n",
"\t\"\"\"\n",
"\tx1 = interp(ti, Xt, X[:,0])\n",
"\tx2 = interp(ti, Xt, X[:,1])\n",
"\treturn matrix([[x1],[x2]])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def compute_dynamics_terms(A,Ad,aparams):\n",
"\t\"\"\"\n",
"\tGiven a desired set of joint angles A=(a1,a2) and joint velocities Ad=(a1d,a2d),\n",
"\treturns M and C matrices associated with inertial and centrifugal/coriolis terms\n",
"\t\"\"\"\n",
"\ta1,a2,a1d,a2d = A[0],A[1],Ad[0],Ad[1]\n",
"\tl1,l2 = aparams['l1'], aparams['l2']\n",
"\tm1,m2 = aparams['m1'], aparams['m2']\n",
"\ti1,i2 = aparams['i1'], aparams['i2']\n",
"\tr1,r2 = aparams['r1'], aparams['r2']\n",
"\tM11 = i1 + i2 + (m1*r1*r1) + (m2*((l1*l1) + (r2*r2) + (2*l1*r2*cos(a2))))\n",
"\tM12 = i2 + (m2*((r2*r2) + (l1*r2*cos(a2))))\n",
"\tM21 = M12\n",
"\tM22 = i2 + (m2*r2*r2)\n",
"\tM = matrix([[M11,M12],[M21,M22]])\n",
"\tC1 = -(m2*l1*a2d*a2d*r2*sin(a2)) - (2*m2*l1*a1d*a2d*r2*sin(a2))\n",
"\tC2 = m2*l1*a1d*a1d*r2*sin(a2)\n",
"\tC = matrix([[C1],[C2]])\n",
"\treturn M,C\n",
"\n",
"def inverse_dynamics(A,Ad,Add,aparams):\n",
"\t\"\"\"\n",
"\tinverse dynamics of a two-link planar arm\n",
"\tGiven joint angles A=(a1,a2), velocities Ad=(a1d,a2d) and accelerations Add=(a1dd,a2dd),\n",
"\treturns joint torques Q required to generate that movement\n",
"\tNote: A, Ad and Add must be [n x 2] where n must be at least 1\n",
"\t\"\"\"\n",
"\tn = shape(A)[0]\n",
"\tT = zeros((n,2))\n",
"\tfor i in range(n):\n",
"\t\tM,C = compute_dynamics_terms(A[i,:],Ad[i,:],aparams)\n",
"\t\tACC = matrix([[Add[i,0]],[Add[i,1]]])\n",
"\t\tJ = jacobian(A[i,:],aparams)\n",
"\t\tHd = dot(J, Ad[i,:])\n",
"\t\trobotFF_H = dot(Hd, aparams['B']) # force at the hand due to robot\n",
"\t\trobotFF_Q = dot(J.T, robotFF_H) # torque at the joints due to robot\n",
"\t\tQi = dot(M,ACC) + C + robotFF_Q\n",
"\t\tT[i,0],T[i,1] = Qi[0,0],Qi[1,0]\n",
"\treturn T\n",
"\n",
"# forward dynamics\n",
"def forward_dynamics(state, t, aparams):\n",
" \"\"\"\n",
" forward dynamics of a two-link planar arm\n",
" note: TorquesIN and TorquesTIME must be [n x 2] where n must be at least 1\n",
" \"\"\"\n",
" a1, a2, a1d, a2d = state # unpack the four state variables\n",
" Q = getInterp(aparams['Qin'], aparams['QinT'], t)\n",
" M,C = compute_dynamics_terms(state[0:2],state[2:4],aparams)\n",
" # Q = M*ACC + C + robotFF_Q + FeedbackMuscleTorques\n",
" A,Ad = array([a1,a2]), array([a1d,a2d])\n",
" J = jacobian(A,aparams)\n",
" # compute robot FF torques\n",
" Hd = dot(J, Ad)\n",
" robotFF_H = dot(Hd, aparams['B']) # force at the hand due to robot\n",
" robotFF_Q = dot(J.T, robotFF_H) # torque at the joints due to robot\n",
" # compute feedback muscle torques\n",
" Ades = getInterp(aparams['Ades'],aparams['AdesT'],t).T\n",
" AdesD = getInterp(aparams['AdesD'],aparams['AdesT'],t).T\n",
" FeedbackMuscleTorques = dot((A-Ades),aparams['Kf']) + dot((Ad-AdesD),aparams['Bf'])\n",
" # compute joint accelerations\n",
" ACC = dot(inv(M), (Q - C - robotFF_Q - FeedbackMuscleTorques.T))\n",
" state_d = [a1d, a2d, ACC[0,0], ACC[1,0]]\n",
" return state_d"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def get_min_jerk_movement(H1,H2,movtime,padtime=0.5):\n",
"\t\"\"\"\n",
"\tUtility function to return hand+joint kinematics for\n",
"\ta min-jerk trajectory between H1 and H2 in movtime with\n",
" time padding padtime at beginning and end of movement\n",
"\t\"\"\"\n",
"\t# create a desired min-jerk hand trajectory\n",
"\tt,H,Hd,Hdd = minjerk(H1,H2,movtime,100)\n",
"\t# pad it with some hold time on each end\n",
"\tt = append(append(0.0, t+0.10), t[-1]+0.10+padtime)\n",
"\tH = vstack((H[0,:],H,H[-1,:]))\n",
"\tHd = vstack((Hd[0,:],Hd,Hd[-1,:]))\n",
"\tHdd = vstack((Hdd[0,:],Hdd,Hdd[-1,:]))\n",
"\t# interpolate to get equal spacing over time\n",
"\tti = linspace(t[0],t[-1],100)\n",
"\thxi = interp(ti, t, H[:,0])\n",
"\thyi = interp(ti, t, H[:,1])\n",
"\tH = zeros((len(ti),2))\n",
"\tH[:,0],H[:,1] = hxi,hyi\n",
"\thxdi = interp(ti, t, Hd[:,0])\n",
"\thydi = interp(ti, t, Hd[:,1])\n",
"\tHd = zeros((len(ti),2))\n",
"\tHd[:,0],Hd[:,1] = hxdi,hydi\n",
"\thxddi = interp(ti, t, Hdd[:,0])\n",
"\thyddi = interp(ti, t, Hdd[:,1])\n",
"\tHdd = zeros((len(ti),2))\n",
"\tHdd[:,0],Hdd[:,1] = hxddi,hyddi\n",
"\tt = ti\n",
"\tA = zeros((len(t),2))\n",
"\tAd = zeros((len(t),2))\n",
"\tAdd = zeros((len(t),2))\n",
"\t# use inverse kinematics to compute desired joint angles\n",
"\tA = hand_to_joints(H,aparams)\n",
"\t# use jacobian to transform hand vels & accels to joint vels & accels\n",
"\tfor i in range(len(t)):\n",
"\t\tJ = jacobian(A[i,:],aparams)\n",
"\t\tAd[i,:] = transpose(dot(inv(J), matrix([[Hd[i,0]],[Hd[i,1]]])))\n",
"\t\tJd = jacobian_d(A[i,:],Ad[i,:],aparams)\n",
"\t\tb = matrix([[Hdd[i,0]],[Hdd[i,1]]]) - dot(Jd,matrix([[Ad[i,0]],[Ad[i,1]]]))\n",
"\t\tAdd[i,:] = transpose(dot(inv(J), b))\n",
"\treturn t,H,A,Ad,Add"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# for plots for LaTeX output\n",
"rcParams['savefig.dpi'] = 120\n",
"\n",
"def plot_trajectory(t,H,A,tgtlist=[]):\n",
"\t\"\"\"\n",
"\tNote: H and A must be of type matrix\n",
"\t\"\"\"\n",
"\thx,hy = H[:,0],H[:,1]\n",
"\ta1,a2 = A[:,0],A[:,1]\n",
"\tfigure()\n",
"\tsubplot(2,2,1)\n",
"\tplot(t,hx,t,hy)\n",
"\tylim(min(min(hx),min(hy))-0.03, max(max(hx),max(hy))+0.03)\n",
"\txlabel('TIME (sec)')\n",
"\tylabel('HAND POS (m)')\n",
"\tlegend(('Hx','Hy'))\n",
"\tsubplot(2,2,2)\n",
"\tplot(hx,hy,'-')\n",
"\taxis('equal')\n",
"\tplot(hx[0],hy[0],'go',markersize=8)\n",
"\tplot(hx[-1],hy[-1],'ro',markersize=8)\n",
"\txlabel('HAND X POS (m)')\n",
"\tylabel('HAND Y POS (m)')\n",
"\tfor i in range(len(tgtlist)):\n",
"\t\tplot(tgtlist[i][0],tgtlist[i][1],'rs')\n",
"\tsubplot(2,2,3)\n",
"\tplot(t,a1*180/pi,t,a2*180/pi)\n",
"\tylim(min(min(a1),min(a1))*180/pi - 5, max(max(a2),max(a2))*180/pi + 5)\n",
"\txlabel('TIME (sec)')\n",
"\tylabel('JOINT ANGLE (deg)')\n",
"\tlegend(('a1','a2'))\n",
"\tsubplot(2,2,4)\n",
"\tplot(a1*180/pi,a2*180/pi,'-')\n",
"\tplot(a1[0]*180/pi,a2[0]*180/pi,'go',markersize=8)\n",
"\tplot(a1[-1]*180/pi,a2[-1]*180/pi,'ro',markersize=8)\n",
"\taxis('equal')\n",
"\txlabel('SHOULDER ANGLE (deg)')\n",
"\tylabel('ELBOW ANGLE (deg)')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Define some limb anthropomorphic parameters"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"aparams = {\n",
"\t'l1' : 0.3384, # metres\n",
"\t'l2' : 0.4554,\n",
"\t'r1' : 0.1692, # metres\n",
"\t'r2' : 0.2277,\n",
"\t'm1' : 2.10, # kg\n",
"\t'm2' : 1.65,\n",
"\t'i1' : 0.025, # kg*m*m\n",
"\t'i2' : 0.075,\n",
" 'B' : array([[0.0,0.0],[0.0,0.0]]), # FF at hand\n",
" 'Ades' : array([]), # desired joint positions over time [n x 2]\n",
" 'AdesD' : array([]), # desired joint velocities over time [n x 2]\n",
" 'AdesT' : array([]), # time vector for desired joint positions [n x 1]\n",
" 'Qin' : array([]), # driving torques [n x 2]\n",
" 'QinT' : array([]), # time vector for driving torques [n x 1]\n",
" 'Kf' : array([[30.0,10.0],[10.0,30.0]]), # feedback stiffness\n",
" 'Bf' : array([[1.0,0.4],[0.4,1.0]]) # feedback damping\n",
"}"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Get min-jerk trajectory for a 20 cm movement away from the body, movement time is 500 ms\n"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"H1 = [-0.2, 0.4] # hand initial position\n",
"H2 = [-0.2, 0.6] # hand final target\n",
"mt = 0.500 # 500 milliseconds movement time\n",
"\n",
"t,H,A,Ad,Add = get_min_jerk_movement(H1,H2,mt)\n",
"plot_trajectory(t,H,A,[H1,H2])\n",
"\n",
"BNF = zeros((2,2))\n",
"BFF = array([[0.0,5.0],[-5.0,0.0]])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAqEAAAHACAYAAACS4rE8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n+j7oTy/ET2wAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x1119c1610>"
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Get driving torques necessary for that movement"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"aparams['B'] = BNF\n",
"QNF = inverse_dynamics(A,Ad,Add,aparams)\n",
"figure(); plot(t,QNF)\n",
"legend(('torque1','torque2'))"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 10,
"text": [
"<matplotlib.legend.Legend at 0x111aa3f10>"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAn0AAAGmCAYAAAAJYjK8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nC0RiCWU4Z9wAAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x111a216d0>"
]
}
],
"prompt_number": 10
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Run forward simulation using those driving torques in a Null Field"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from scipy.integrate import odeint\n",
"state0 = [A[0,0], A[0,1], Ad[0,0], Ad[0,1]]\n",
"aparams['B'] = BNF # null field\n",
"aparams['Ades'], aparams['AdesD'], aparams['AdesT'] = A, Ad, t\n",
"aparams['Qin'], aparams['QinT'] = QNF, t\n",
"state = odeint(forward_dynamics, state0, t, args=(aparams,))\n",
"Hsim,Esim = joints_to_hand(state,aparams)\n",
"plot_trajectory(t,Hsim,state[:,[0,1]],[H1,H2])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAooAAAHACAYAAAAlX0kbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAASdAAAEnQB3mYfeAAAIABJREFUeJzs3XdcU9f7B/DPDWhRFDQIUhkyElQUQRRpVSiuUqi4J2od\n1SKi1dZWxUEZjrqwVXEglmpBRatYcdSFq9atHSKgARwoQwxDGaLh/P7wR76NCZBA2M/79crrVc49\n597nCkmf3HvuczjGGAMhhBBCCCHv4NV2AIQQQgghpG6iRJEQQgghhChEiSIhhBBCCFGIEkVCCCGE\nEKIQJYqEEEIIIUQhShQJIYQQQohClCgSQgghhBCFKFEkhBBCCCEKUaJICCGEEEIUokSREEIIIYQo\nRIkiIYQQQghRiBJFQgipJowxBAUFwdbWFnp6enB3d8e1a9eUHn/16lWMHDkSpqam0NHRQY8ePbBv\n3z6ZPi4uLuDxeHIvNzc3dZ8OIaQR0qztAAghpKHy9vZGWFgYvLy8IBQKERERgQEDBuDMmTNwcHAo\nd+z+/fvx2WefwdHREbNnz4auri4SEhKQmpoq19fExAQrV66UaWvXrp1az4UQ0jhxjDFW20EQQkhD\nIxKJ0KFDB/j7+2Pp0qUAgLy8PNjZ2aFLly44fPhwmWNzcnJgZmaG0aNHIzQ0tNzjuLi4QCwW459/\n/lFr/IQQAtCtZ0IIqRY7d+4EAMyYMUPapqOjA09PTxw/fhwZGRlljt24cSMKCwuxfPlyAMCrV6/K\nPRZjDBKJBEVFRWqInBBC/ocSRUIIqQZ37tyBlZUV9PX1ZdqdnJwgkUgQHx9f5tjY2Fi0b98e169f\nR9euXdG8eXOYmZlh3bp1Cvvfu3cP2traaNGiBYRCIYKDg0E3iwgh6tBg5igyxrBs2TL8+uuvSE1N\nhaOjI/z9/dGzZ0+lxl+9ehVr1qzBtWvXkJOTAysrK8yfPx+jR48uc4yOjg4YYzA1NVXXaVQLsVgM\nPp9f22Eopb7ESnGqV32J89GjR+A4Dnl5eRX2TUtLg56enlx7mzZtAADp6elljk1JScHLly8xevRo\nfPPNNwgICMCBAwfw7bff4tWrV1i0aJG0r0AgQP/+/WFjY4P8/Hzs378f33zzDRISEsq9ba2jo4OX\nL1+iSZMmctv4fL7afh915XdbF+KoCzFQHA0/DrFYDLFYrHAbx3Fo1apVuZ8/72owiWJNTRr/r/z8\nfIUfsnVNXXkTKKO+xEpxqld9ifP169d4/fq1Un3FYjEEAoFcu46ODgDg+fPnZY5NS0vD69ev8e23\n38Lf3x8AMGzYMNy7dw+rV6/G3Llz0bx5cwBAWFiYzNjx48fDy8sLYWFhmDlzJuzs7BQegzGGpk2b\nwtLSUqnzqay68rutC3HUhRgojoYfR3lf9JKSkpCfn6/aDlkDcP/+fcbj8VhgYKC0LTc3l5mbmzMP\nD49yx2ZnZzNdXV02ffp0lY/btGlTZm1trfK4mtapU6faDkFp9SVWilO96kuc1tbWrGnTpkr1dXR0\nZL1795Zrv3HjBuM4ju3Zs6fMsYaGhozjOBYbGyvTvmTJEsZxHPvrr7/KPXZiYiLjOI5t2rSpzD7W\n1tY18vlVV363dSGOuhADYxTHuxpTHJV53zeIOYo1OWmcEEKUYWhoiGfPnsm1Z2VlSbeXpV27duA4\nDvb29jLtpT+npaWVe2xjY2MAqPCuCCGEVKRBJIo1OWmcEEKUYWNjA5FIhMzMTJn2CxcuQENDA506\ndSpzbNeuXcEYw5UrV2TaS3+uaF50cnIyAMDMzKwSkRNCyP80iESxqpPGxWIxRo8ejeHDh+PXX39F\nnz598O2332LFihXVFjMhpGGbNGkSGGPYunWrtC03Nxe7d++Gm5sb2rZtC+Dt51NCQgLevHkj7Tdt\n2jQAQExMjLStpKQEx44dg5GREaysrAAAL168kLsLwv7/wT5NTU04OTlV2/kRQhqHBvEwS01NGn+X\nRCKBSCSCtbW13DYfHx/4+PhU4mxITWGMITUvFSKxCMnZyXic9xgZ+RnIzM9ETlEO8l7lIb84H4Vv\nCvHqzStImAQlrAQlrAQ5z3PAXyU7WZih5sqRcOAq7sNxyHmeA73V8l+iVN1XqaqeIyujZEvu81y5\nf091CXAJwGzH2SqNCQkJQUhIiFx7UlISJBKJUvsQCASYNm0aAgMDkZ6eDqFQiMjISIjFYixZskTa\nb+HChdi1axcePHggvVLYu3dvDB8+HFu2bMGbN2/QtWtXHDp0CPHx8YiIiICm5tuP7ps3b2LcuHHw\n9PSEpaUlCgsLER0djT///BPz589X+NlECCGqaBCJIp/PV1iuorRN0dXG/47NyMjAJ598ItPu6uqK\nGzdu4P79+7C1tVU4Vl9fH3w+H3FxcVWIvvrVp4S1OmN9lPsIFx9exLWn13D9yXXEPYtD3iv5vxse\nx4POezrQeU8HLZq2AL8ZH001mkKTpwkNTgM8jodU11SYvG8iN1ZR0sVxyidi7yorsQKUS9pSXVNh\n1Nao0sevKmXPPdU1FcbvGyu3TxUSWwBo26KtSv2Bsr/ode7cucyyE4qEhobC2NgYBw4cQFRUFBwd\nHbF582aZsl0cxyn8d9q3bx/8/PwQExODPXv2wMbGBkeOHJH5rDIzM4OzszOio6ORnp6Oli1bolOn\nTti3bx9Gjhyp4llXj7ry+VMX4qgLMQAUx7sojvI1iCX8hg4divj4eCQmJsq0nzhxAm5uboiNjYWL\ni4vCsd27d8dff/0FsVgMXV1daXt0dDRGjBiBY8eOySWRpTp37gwAdT5RbKxevXmFsw/O4nDiYZxK\nPgWRWCTdxm/GR9e2XdFZvzM66HWAeWtzmOqawrCFIfSa6UGDp1GLkZO6qiG95xvSuRBClFOZ932D\nuKJoY2ODmJgYZGZmwsDAQNqu7KTx27dv48qVK3B1dZW2KztpnNQtkhIJzqScQeS/kYiOj8aL4hcA\nALNWZvi82+dwMXPBB8YfwLK1ZZWu9BFCCCGNQYNIFCdNmoTly5dj69at8PPzA1D2pPGcnBwIBALp\nHJ9p06Zh586diImJkSaKiiaNk7rtSd4ThN0KQ9jtMKTmvS0J4tDOASM6jcCQjkPQsU3HWo6wfIGB\ngYiKiqrtMBq1MWPGSD8/CCGEvNUgEsWamDRO6qabT29i3eV12Be3DxImgbGOMfw+8sMEmwkQ6glr\nOzylRUVFQSQSKXwoi1Q/kUiEqKgoShQJIeQdDSYLqu5J46RuufjwIoIuBOFU8ikAwACLAZjdczbc\nhe7Q5NXPP2uBQEDzxWpJ6bwdQgghshrEwyy1hSaD17xrT67B94wvYlNiweN4GNtlLOb3mg9bQ8VP\nptcX9LdUu5T9929Iv6eGdC6EEOU02odZSMMnEouw8PRCHIg/AB7Hw2e2n2Gx02JY6dEcUkIIIaS6\nUKJI6rTcolwsu7gMP175Ea9LXmNIhyFY3m85OhvQrUJCCCGkulGiSOokxhgi/43ENye/QUZ+BroZ\ndsMPn/wA5/bOtR0aIYQQ0mhQokjqnISsBMw4MgPnH56HXjM9bPfYjqndpoLHNYilyQkhhJB6gxJF\nUmcUS4qx8uJKrPhjBYolxfDq7oUV/VeA36x61gAmpJREIkFxcTF27doFjuPQoUMHdOzYUbpePCGE\nNFaUKJI64fqT65h6eCruZN5BZ/3OCPUIRS+TXrUdFmnA7t+/j/Xr1+PgwYPIyMgAAEyePFmmT9u2\nbTFs2DB89dVXEArrT11OQghRlwZzL48xhqCgINja2kJPTw/u7u64du1aheN+/vln8Hg8ha/MzMwa\niLxxK3pThAWnF+CDHR8gMSsRAS4BuOV1i5LERqj0fVceMzMz8Hg8PHr0qNLHOXfuHAYPHoyOHTvi\nzJkzGDZsGAwMDGBsbIxbt27hxo0b2LdvH77//nsMHToUp0+fRseOHTFkyBDk5+dX+riEEFIfNZgr\nit7e3ggLC4OXlxeEQiEiIiIwYMAAnDlzBg4ODhWODwoKgrm5uUybrq5udYVL8PYq4qRDkxCfFQ+H\ndg74achP6GLQpbbDIrVImfW3q7pG98cff4zhw4fj9OnT6Nu3L4C368IDgJ2dHQDA3t5e2p8xhrNn\nz2Lbtm149OhRuWvHE0JIQ9MgEkWRSITt27fD398fS5cuBQBMnToVdnZ2CAoKwuHDhyvch5ubm8z/\nHEj1eS15jWUXl2H5heXgcTys6LcC3/b+tt6uqELql9TUVBgYGCjdn+M49OvXD/369cNff/1VjZER\nQkjd0yBuPe/cuRMAMGPGDGmbjo4OPD09cfz4cen8o/IwxvDy5ctqi5G8Ff8sHh/u+BCB5wPRxaAL\nbn5xE75OvpQkkkqbM2cOeDwe5s2bJ7dtx44d4PF4cHV1RekiVKokie+itd8JIY1Ng0gU79y5Aysr\nK+jr68u0Ozk5QSKRID4+vsJ99O3bFzo6OtDX18fYsWORnp5eXeE2SiWsBBuuboB9qD1up9+Gbx9f\nXJt+DTZtbWo7NFLPrV27Fvb29vjhhx9w7NgxaXtcXBy+/PJLvP/++4iIiKjyLWtCCGmM1Pb1WCKR\ngOO4CiejV4e0tDTo6enJtbdp0wYAyk36tLW1MWXKFGmieOPGDQQHB+P8+fO4e/cuWrduXW1xNxap\neamY8tsUnE4+DcvWltg1bBc9rEIUYowhICAAZS1Bn5OTI9fWpEkTREVFwd7eHpMnT8Zff/2FVq1a\nYcyYMSguLkZERITcl0hF+83JyUH79u2RnZ0tPT7HcWCMgeM45OXlVf0ECSGknql0onj9+nUcOHAA\niYmJSEhIQFJSEng8HiwsLNCxY0d06NABw4YNQ8+ePdUZr0JisRgCgUCuvbQG2vPnz8scO2rUKIwa\nNUr68+DBg+Hq6gpnZ2cEBgZi/fr15R5XLBbD2tpabpuPjw98fHxUOY0GKepOFGYcnYGcohxMt5+O\nYNdgtGjaorbDajAGDwaSkmr2mJaWgBLTfistICCg3O2KrgxaWloiNDQU48aNg6enJywsLHD37l0s\nWbJE+sBKWYKCgvD06VNoamrC3t4eurq6SEhIQEJCgkw/a2trJCUlgc+nup6EkMZDpUSRMYbo6GgE\nBwfjzz//RLNmzWBubg6BQABXV1eUlJQgOTkZCQkJ+P3337Fq1Sr06tUL8+bNw7Bhw6rrHMDn8xV+\n2y9tU3S1sTy9e/eGo6MjLl68WOFx+Xw+4uLiVNp/Y5BdmA2fYz7Yc2cPDLQNEDMuBoOsBtV2WKSO\n4zgOEomkzO1mZmZ4/Pixwm1jxozBmTNnEBYWhgsXLsDJyanCpBMAQkND0aJFC5iYmCA6Orrcvp07\n0xrjpH569uwZ1gUE4NihQ3hTXAzNpk3x6bBhmPfdd9K7b4QoolKiKBQK8fTpU4waNQqrV69Gr17l\n3z68dOkStm3bhvHjx6Ndu3YQiURVCrYshoaGCuchZmVlSberytjYuMJEkSh2KukUpvw2BU9ePMGQ\nDkMQ6hEKA+3KP0BAyladV/bqoxEjRiAsLAwAMHv2bKXmJWppaaFly5Zqn8PIGMOyZcvw66+/IjU1\nFY6OjvD391f6LsvVq1exZs0aXLt2DTk5ObCyssL8+fMxevRomX7//vsvFi1ahCtXrsDQ0BAeHh5Y\ntmxZrUwDInVPbm4uVvn54beICHyZl4drb95AC0ARgJ1bt+Kj3bsxZMIELAgMpJJwRCGVPklmzZqF\nJ0+eYOfOnRUmicDbK3O7du3CkydPMGvWrEoHWREbGxuIRCK5AtkXLlyAhoZGpeqeJScnw8zMTE0R\nNg4Frwsw+/hsfBzxMXJf5SLMIwzRY6IpSSQ1IisrC59//jmaN2+O5s2bY+7cudIvi+Vxd3dHQUGB\n2uPx9vZGQEAA+vTpg6VLlyIzMxMDBgzA9evXKxy7f/9+uLi4ICsrC7Nnz8batWvh7OyM1NRUmX5x\ncXFwcXHBw4cP4evriwEDBmDt2rXw9PRU+/mQ+ic3Nxft+Xzs2bABTCzGj2/ewB6ANQB7AD++eQMm\nFmPPhg1oz+cjNze3liMmdRJrAO7fv884jmMBAQHStpycHGZmZsY8PDykbWlpaSw+Pp69fv1a2paZ\nmSm3v6NHjzKO45ivr2+5x7W2tmbW1tZqOIP674+HfzDBBgGDP5hzuDNLFifXdkj1Cv0tMcZxHOPx\neOX2ad++PePxeOzhw4cy7SUlJczd3Z1xHMd27NjBwsLCGMdxzM3NrcLj5ufns5YtWzIdHR22e/du\n9vTpU/b8+XO5F2PK/57u37/PeDweCwwMlLbl5uYyc3Nzmc8kRbKzs5muri6bPn16hceZMGECe//9\n99mzZ8+kbT/++CPjOI7dvHmz3LH0N9fw+X75JTMDGFPiZQawRXPm1HbIpJpV5n3fIBJFxhibPn06\n09DQYN7e3iw4OJh1796d6ejosKtXr0r7TJo0iXEcJ/M/GYFAwEaPHs1WrVrFtm7dyr744gvWpEkT\nJhAIWH5+frnHpA9axvKL89nXJ75mnD/HtJZpsXV/rmOSEklth1Xv0N9S1RLFtWvXMo7j2Lhx46Rt\nY8eOZRzHsdWrV1d47LZt2zIAjOM4ha/SuJT9PS1ZsoTxeDy5L6KLFy9mmpqaLD09vcyxgYGBrGnT\nptKxRUVFCvu9ePGCNWvWjM2aNUum/eXLl0xLS4v5+PiUGyP9zTVsmZmZzJrPZ52UTBQ7Acyaz5f5\n0kEansq876tcHufly5c4cOAAUlJSZMpK/NeGDRuqepgKhYaGwtjYGAcOHEBUVBQcHR2xefNmmflA\nHMfJzUMaO3Ysjh49ipMnT6K4uBhCoRBz586Fn58fmjdvXu1x12fnH5zHtJhpEIlFcDRyxM9Df0bH\nNh1rOyzSwL37GXP9+nX4+vrCwsIC27Ztk7aHhobi+vXrWLx4MZydneHo6Khwf4sWLUJGRgaaNWsG\nLy8vhfO0VJ2/WF5t1xUrViA+Ph5t27ZVODY2Nhbt27fH9evXsXDhQsTFxcHExASzZ8+WKSqelJSE\noqIi9OnTR2a8trY2unXrhn///VelmEnDsi4gAF/m5eFHFcbMzsvDuoAArNy4sdriIvVQVTLTy5cv\ns1atWpX5Lbz01VA11m/k2YXZ7IuYLxj8wbSWabG1l9ayN5I3tR1WvdZY/5b+S5krimZmZjJXFHNy\ncpi5uTl777332PXr1+X637hxg7333nvMwsKC5ebmKtynubk509XVVerfX9nfk6OjI+vdu7fCeDiO\nY3v27ClzbPv27Zmenh7T1tZm3333HTt48CAbP3484ziOLV++XNrv+PHjjOM4durUKbl9DBo0iFlZ\nWanlXEj9ZGNkxAr//0qhslcUCwFmY2RU26GTalTjVxRnzZqFFi1aYN++fejZsyc9MdXAMcawL24f\n5p6Yi/SX6XAxc0HooFAI9YS1HRppAEpKSirsk5KSIvOzrq4ukpOTy+zfvXt3FBUVlbvPJk2aoFmz\nZsoFqaSq1HZNS0vD69ev8e2338Lf3x8AMGzYMNy7dw+rV6/GV199hWbNmkEsFsvs893jlG4vL0aq\nA9twvSkuhpaKY7T+fxyp30JCQhASEqJwW3Z2tsq1YKuUKKakpOC7777DwIEDq7IbUg/EP4vHrOOz\nEJsSC34zPsKHhGOS7SRaFo3Ue8OGDUNISIhaC2lXpbYrn89HRkYGPvnkE5l2V1dX3LhxA/fu3YOt\nra003rKOU1H9WKoD27BpNm2K8r8iySv6/3Gkfivvi15lasFWqdCWs7MzPU7fwD0veI4vj3+Jrlu7\n4mzKWUy3n47EWYmYbDeZkkTSIIwYMQIlJSVISUnBypUrcfnyZdy6dUvupQpDQ0M8e/ZMrl2Z2q7t\n2rUDx3Gwt7eXaS/9OS0tTWYfikoAZWVlVap+LGk43IcOxU5N1a4F/aypiU+rcXEMUj9V6Yqir68v\nJkyYgJ49e6J///7QVPGPktRdRW+KsOnaJqy4uALZRdlwNHLEj5/8CEdjxQ8EEFJfOTo6Sh+QWbx4\nscI+Fa0Y8y4bGxvExMQgMzMTBgb/qyOqTG3Xrl274vbt27hy5QpcXV2l7VeuXAEAmJqaAni7bKGW\nlhYuXryIsWPHSvu9fPkSt2/fxrRp05SOlzQ88777Di579gAVTEH4rw06Orjw3XfVGBWpj6qU2fXs\n2ROhoaHo378/tLW18eGHH+K9996T63eYlo+oN4olxdj5104EXghEal4qTHVNscl9E8Z1GUdXEEmD\n9NNPP0kTxOXLl6tln5MmTcLy5cuxdetW+Pn5AXhb/Hj37t1wc3OTPvGcnp6OnJwcCAQC6RftadOm\nYefOnYiJiZEmiiUlJTh27BiMjIxgZWUFAGjZsiVGjBiBgwcPwt/fX/qE9Y4dO1BcXIypU6eq5VxI\n/aSvr48hEyZgj5JVRwoBeE6cSMv5ETlVShSPHz8OT09PMMagoaGBxMREuT6UXNQPBa8LEH47HKsu\nrcLjvMdo07wN1ruux4weM6ClqeqUaELqj8mTJ2PNmjXS/1YHgUCAadOmITAwEOnp6RAKhYiMjIRY\nLMaSJUuk/RYuXIhdu3bhwYMH0iuFvXv3xvDhw7Flyxa8efMGXbt2xaFDhxAfH4+IiAiZOzcLFizA\nsWPH0K9fP0yePBmPHz/Gli1bMGrUKLlb16TxWRAYiM2bNsG8pATlPa5VCCCbx8N8JdZGJ41PleYo\nrlq1CkZGRkhISEB2djYePHgg93r3KcXqwhhDUFAQbG1toaenB3d3d1y7dk3l/UyfPh08Hg8eHh7V\nEGXd8yTvCZaeXQrT9aaYdXwWCt8UYtWAVUj+MhlzP5hLSSIhlRQaGgo/Pz9cunQJy5Ytg4GBAU6d\nOlVhbVcA2LdvH3x9fXH58mX4+vqioKAAR44ckbnFDABdunTBuXPnYGZmhu+//x6nT5/G119/jT17\n9lT7+ZG6T1dXFw/FYnjOmQOOz8ccTU3cAnAXwC0AszU1wfH58JwzBw/FYqpcQhTiGFNQIVtJBgYG\n+O677+pEGYUZM2YgLCwMXl5eEAqFiIiIwL1793DmzBk4ODgotY8bN26gV69e0NTUxIABAyq8ZV76\n9FB9e2rwteQ1TiSdQNitMBy5dwQSJoFFawt89cFXmGI3BdpNtWs7xEanvv4t1UcTJ06Et7e3zHr1\nyvz7//HHHxg0aBCMjIwaxO+J/uYal6ysLKwLCMDR6GjkZhfjZUFTjJ4wDEHrv6PbzY1IZd73Vbr1\n/OGHH+Lx48dV2YVaiEQibN++Hf7+/li6dCkAYOrUqbCzs0NQUJBScyQZY/jyyy8xadIknD59urpD\nrnHFkmKcf3Ae0QnR2H93P7IKssCBwyeCT+DV3QuDrAZBg6dR22ESUu3y8/Ph7OyMzp07w8vLCwMH\nDgRjTO7K3qtXr5CcnIxTp04hNDQUCQkJtFoTqbfatGmDlRs3YuXGjVi8GFixAvjaD6AckVSkSoni\n+vXr4eHhATMzMwwZMgTvv/++uuJSyc6dOwG8vapYSkdHB56enli1ahUyMjLKXC6r1C+//IK7d+8i\nOjoap06dqtZ4a4KkRIK7z+7iwsMLOJNyBrEpsch99baUUac2nfDVB19hvM14tG/VvpYjJaRmHTx4\nEElJSVi/fj3mz5+PgoICMMagqamJjz76CCUlJUhKSkJ6ejoAoHnz5pg8eTJ+++03DB48uJajJ4SQ\nmlWlRHHIkCHIy8vDzJkz4ePjA4FAIPPUc+m39H/++afKgZanKuuqAsCLFy+wYMECLFq0qMKEsq4p\nlhQjNS8VydnJEIlFiHsWh38z/sXNtJt4WfwSAMDjeHBo5wAPKw8M7TgU1vrW9JARadQsLS2xadMm\nBAYG4sSJE5gzZw5evXqFly/fvmdcXFxgZWWFDh06wNXVVa3FuAkhpD6pUqKop6eHNm3awNLSssw+\nNZGQpKWlKVyFoHTeRemVgbIEBgZCW1sbX331lUrHfZzxGPm5+Wht2lpuWyf3TrB2l18aSxkMb6eN\nMsYgYRJISiR4XfIaRW+KUPi6ELmvcpFTlIPM/EzkFOXIjW/ZtCW6v98djsaO6GXcCx+ZfYRWWq0q\nFQshDRmfz8e4ceOwbNkyAMDNmzcByC6BFRQUJO2flJRESSMhpFGpUqJ47tw5NYVRNVVZV/XevXvY\nsGED9u7diyZNmqh0XKbFUMIrQc7n8snaZVzG5duXVdpfRZrwmkBLUwu6WrrQfU8XdoZ2aKvdFkY6\nRrBoZQGL1hbobNAZJjomdMWQkCooawmsyix/RQgh9VmDWEqlKuuqzpkzB71798awSixbZKxjDAC4\nsuCKymMrUproaXAa0OBpoAmvCT1sQgghhJAapVKiGBsbi379+lXqQFUZWxFDQ0PEx8fLtVe0rmps\nbCxOnDiBgwcP4sGDB9L2N2/eoKCgAA8fPgSfz0fLli0Vjudxb8tQ6mpR7SlCCCH1S+WL45HGRKWC\n259++ik6duyI4OBgZGdnV9g/KysLa9asgVAoxKBBgyodZEVsbGwgEomQmZkp017RuqqPHj0CAAwf\nPhwWFhbS19OnTxEbGwtzc3OEh4dXW9yEkP/h8Xjg8cr/SDIzMwOPx5O+dwkhhFQvla4oPnz4ECEh\nIVi5ciUWL14Me3t7WFhYwNzcHObm5igpKUFycjKSk5ORlJSEf/75Bzo6OvD29sasWbOq6xwqva5q\n//79cejQIZl9McbwxRdfwMzMDIsXL0aXLl2qLW5CiCxl5tbS/FtCCKk5KiWKBgYGCAgIkK5PevDg\nQVy8eBG7d+9G6QIvPB4PJiYm6NChA3744QdMnjwZWlrVuwxcZddVNTExgYmJidz+5syZg7Zt21LN\nNEIIIYQ0apV6mKVZs2bw8vKCl5cXAKCoqAj3798HAAiFwmpPDBUJDQ2FsbExDhw4gKioKDg6OmLz\n5s1Krav6LrpiQUj9kJ2dDSMjI7Rr1w4ikUhhHw8PDxw9ehQ3btyAvb19hfuMj4/H/v37IRaLYWNj\ng/Hjx9fKZxohhNQFannqWUtLCzY2NurYVZX4+flJbz0rEh4ertScw5SUFHWGRQipJq1bt8a4ceMQ\nHh6O06eA7ArfAAAgAElEQVRPY8CAATLbHz9+jOPHj6NHjx4ySeKmTZvwww8/4I8//pB52C0mJgYj\nR47E69evpW0bNmzAuXPn0Lq1fL1UQghp6BpEeRxCSMPAGENAQIB0Ksu7cnLka5bOnDkT4eHh2LZt\nm1yiuGPHDpSUlEjvfpQ6fPgwTE1NZZJExhimTZsGDQ0NfPfdd3Bzc8OpU6ewePFiBAcHyxTeJoSQ\nxoISRULqscF7BiMpO6lGj2nZ2hKHxx2utv0HBASUu/3dqSHdu3eHg4MDfvvtN5l13SUSCXbs2AEd\nHR2MGzdOZszdu3cxbdo0mbb8/Hw8e/YMvr6+WLRoEQCgW7duOHLkCGJiYihRJIQ0SiqVxyGEkOrE\ncRxKSkrKfJmamiocN3PmTLx58wY//fSTtO3YsWN48uQJJkyYgObNm8v0f/78Od5//32Ztvz8fACQ\nK77fv39/mTqrhBDSmNAVRULqseq8slefjBkzBvPmzcP27dvh6+sL4O0DbgDkbjsDbys4XL9+XWZb\nQUEBmjdvDjs7O5m+fD4fJSUl1Rg9IYTUXXRFkRBS72lpaWHy5Ml48OABTpw4IX2I5YMPPlD4oJ2D\ngwNOnTolXeazqKgIhYWFcHV1haam7PfnxMREGBsb18h5EEJIXaP2RPHRo0f466+/8OrVK3XvulyM\nMQQFBcHW1hZ6enpwd3fHtWvXKhx34cIFDB48GKampmjWrBnatm2L/v374/fff6+BqAkh6uLt7Q2O\n47Bt27YyH2Ip9d133yEzMxNWVlbo1asXkpOTAUB6NbLU69ev8dtvv6FXr17VHj8hhNRFKieKV69e\nRWBgoNxyeU+fPoWzszPMzc1hb2+Pli1bYtmyZWoLtCLe3t4ICAhAnz59sHTpUmRmZmLAgAG4fv16\nuePu378PTU1NeHt7Y9OmTfD09MTTp0/x6aefyq3aQgipuywtLTFw4EAcOXIE27ZtQ+vWrTF27FiF\nfW1sbHD16lU4OzsjLy8P2traMDU1RY8ePWT6nTlzBrq6uhg1alRNnAIhhNQ9TEWfffYZMzU1ZSUl\nJTLt/fv3ZxzHMSsrK/bll18yOzs7xnEc279/v6qHUNn9+/cZj8djgYGB0rbc3Fxmbm7OPDw8VN5f\nQUEBMzQ0ZJ988km5/aytrZm1tbXK+yfkXfS3xBjHcYzH45Xbp3379ozjOPbw4UOF2w8dOsQ4jmMc\nx7E5c+YofWxl//0b0u+pIZ0LUc2iRYwBjCUm1nYkpKZV5n2v8hXFK1euYNiwYTIlKhITExEbGws3\nNzckJibixx9/xNWrV2FmZobNmzerNbFVZOfOnQCAGTNmSNt0dHTg6emJ48ePIyMjQ6X9aWhogMfj\nQU9PT61xEkKqpqLVlTw8PKCnpweO48q87VyerKysqoQnh1VySszPP/8MHo+n8PXu3RwXFxeF/dzc\n3NR6LoSQxknlp57T0tLQoUMHmbajR48CkE3UmjZtio8//hhHjhypYogVu3PnDqysrKCvry/T7uTk\nhBUrViA+Pl5aW60seXl5ePXqFeLi4rB79268fPmyUv+jIYRUjjJPFle0alJKSgqeP38OJycndOrU\nqcL95eTkYPny5UhKSkJxcTEMDAygpaUFCwsLuLu7Y/HixdDV1VX6HN7l7e2NsLAweHl5QSgUIiIi\nAgMGDMCZM2fg4OBQ4figoCCYm5vLtCmKx8TEBCtXrpRpa9euXaXjJoSQUionik2aNMHTp09l2v74\n4w8AQJ8+fWTa7ezspFf7qlNaWprCq39t2rQBAKSnp1e4j9GjR+PkyZMAgFatWuHmzZsQCATqDZQQ\nUq3Wrl0LAPj6668r7HvixAl4enoiOzsbGhoaaNasGTw8PJCeng6RSIS1a9fip59+QmRkJFxdXVWO\nRSQSYfv27fD398fSpUsBAFOnToWdnR2CgoJw+HDFpY3c3NyUWp9aV1cXnp6eKsdICCEVUfnWs0Ag\nwNmzZ6U/FxYW4vz587C3t5dbCzU1NVXuKl91EIvF0NHRkWsvbXv+/HmF+1i1ahVOnTqFHTt2QCgU\non///vjzzz8rPK5IJIK1tbXcKyQkpHInQwhRyePHj7Fy5UqMGDECoaGh6NGjB4YMGVLumNTUVIwf\nPx56enqIjo6GlZUVzMzMsHfvXpw7dw4LFy6EkZERXrx4gU8//RRCoRDW1tYQiUQQi8VKxaWOKTGM\nMbx8+VKpfhKJBEVFRUrFRgghylI5UfTx8cGff/6JGTNmIDQ0FAMHDkR2djamTp0q1/fixYvo3Lmz\nWgItD5/Pl9ZD+6/SNmXmGtra2qJ///6YMmUK/vjjD+jo6GD58uUVHlcgEODu3btyLx8fn8qdDCFE\nJUlJSVi8eDGuXr2KadOm4eDBgxWOCQwMhIaGBk6ePKkwqZw1axYeP36Me/fugc/no1+/frh79y4E\nAgH4fL5ScZU3JUYikSA+Pr7CffTt2xc6OjrQ19fH2LFjy7w7cu/ePWhra6NFixYQCoUIDg4uc71s\nQghRhcq3nidOnIiEhASsWrVK+kH02WefwdvbW6bf9evXcfHiRfz444/qibQchoaGCj90SyemGxoa\nqrS/Jk2awMPDA+vXr0dRURG0tLTUEichRP1cXFxUXjnlxo0bGDNmDMzMzMrt1759e4wbNw4XL15U\nOa6qTInR1tbGlClTpInijRs3EBwcjPPnz+Pu3bsyd28EAgH69+8PGxsb5OfnY//+/fjmm2+QkJAg\nXZ2GEEIqS+VEkeM4rFixAr6+vkhMTISRkZHcmqnA28nV165dQ8eOHdUSaHlsbGwQExODzMxMGBgY\nSNsvXLgADQ0NpSa1v6uwsBASiURulQZCSP0nEonwxRdfKNW3Y8eOMmtIK0ssFiuc56zMlJhRo0bJ\n1G4cPHgwXF1d4ezsjMDAQKxfv166LSwsTGbs+PHj4eXlhbCwMMycOVNuScL/xicWi2FtbS23zcfH\nh+6KEFJPhYSElDn9LTs7W+m7IqUqnQW1bNlSrjjtfxkaGqp8Ja+yJk2ahOXLl2Pr1q3w8/MDAOTm\n5mL37t1wc3OTPvGcnp6OnJwcCAQCaQL4bnIJvH0S8sCBA+jWrRslioQ0QKVTRpQRHx8PoVCo8jHU\nMSXmv3r37g1HR0elrm6Wrnt96dKlMhNFPp8PPp+PuLg4leIghNRt5X3Rq8x0wCplQf/88w9OnDiB\npKQkpKamwtjYGAKBAK6urgrXV60uAoEA06ZNQ2BgINLT0yEUChEZGQmxWIwlS5ZI+y1cuBC7du3C\ngwcPYGpqCuDtU4UmJibo2bMnDAwM8OjRI4SHh+PZs2eIjo6usXMghNScHj16ICoqCvPmzUP79u3L\n7Pfw4UPs3bsXQ4cOVfkY6p4SAwDGxsZKJYqla1OnpqaqfAxCCPmvSiWKWVlZ+Pbbb/HLL78onBvk\n6+uLiRMnYs2aNTVWtDo0NBTGxsY4cOAAoqKi4OjoiM2bN6Nnz57SPoqK9X7++efYu3cvfvjhB7x4\n8QKmpqZwcXGBn59fpa4iEELqvqVLl+LAgQP4+OOPpSV13nXkyBF88803kEgk0vI2qqiOKTHJyckV\nzqss7QdAqb6EEFIuVZd/kUgkzMXFhfF4PDZ06FB26tQplpKSwgoLC1lKSgo7efIkGzZsGOPxeMzF\nxUVuqb+GhJbAIupCf0s17/jx46x169aM4zimqanJmjdvzjw9PVm/fv2Yqakp4ziOtW7dmh09elQ6\nRpXf0/379xnHcSwgIEDalpOTw8zMzGSWFk1LS2Px8fHs9evX0rbMzEy5/R09epRxHMd8fX2lbXl5\neayoqEimX0lJCRszZgxr0qQJi4uLKzM++ptrvGgJv8arMu97la8orl+/HufPn8euXbswYcIEmW1m\nZmYwMzPDwIEDERkZiYkTJyI4OBjz5s1TW2JLCCHq8Mknn0AkEmH58uXYtGkTCgsLsWfPHjRp0gQW\nFhaYO3culixZovLE71JVmRLTq1cv2Nvbo3v37tDV1cWtW7cQHh4OS0tLmbE3b97EuHHj4OnpCUtL\nSxQWFiI6Ohp//vkn5s+fr/BBFUIIUYXKieLvv/+O4cOHyyWJ7xo/fjyio6Px+++/U6JIiBJEIlGN\n1B0linXs2BFnz56Fvr4+eDyVS8wqVNkpMWPHjsXRo0dx8uRJFBcXQygUYu7cufDz80Pz5s2l/czM\nzODs7Izo6Gikp6ejZcuW6NSpE/bt24eRI0eq5RwIIY2byoni7du3lZ6v06dPHyxbtkzloAhpbMaM\nGYOoqKjaDqPRKSoqQnFxMdq1a4eRI0dWuCZ8Zfj5+UmrMSgSHh6O8PBwmbagoCAEBQVVuG8zMzP6\nuyGEVCuVE8UWLVogNzdXqb4vXrxAixYtVA6KkMamomSCqNeLFy8wevRonDhxQtq2Z88ejB49Gl26\ndKnFyAghpG5R+f5Kt27dcPz48QqXhyopKcGxY8fKrOFFCCG1ZfXq1Thx4gTs7OywbNkyuLu748GD\nB/Dy8qrt0AghpE5ROVGcNGkSrl69ipkzZ6K4uFhhn+LiYsyePRtXr17F5MmTqxojIYSo1cGDB9Gj\nRw/cunULixYtwpEjR+Dr64vLly8jIyOjtsMjhJA6Q+VEcejQoZg5cya2bdsGCwsLLF26FL/88gtO\nnTqFX375BUuWLIGFhQW2bNmCGTNmVKpQbWUwxhAUFARbW1vo6enB3d0d165dq3DcmTNnMHXqVFhZ\nWUFbWxuWlpaYPn16ueuwEkLqtwcPHmDEiBEybaU/P3jwoBYiIoSQuqlSBbc3btyI7t27Y+nSpVi+\nfLnc9nbt2iEsLAxTpkypcoDK8vb2RlhYGLy8vCAUChEREYEBAwbgzJkzcHBwKHPcggUL8OzZMwwd\nOhQdOnTAuXPnEBERgZMnT+Kff/6Brq5ujZ0DIaRmFBYWwsTERKbNyMgIAJCfn18bIRFCSJ1UqUSR\n4zhMmTIF48aNw99//w2RSITU1FQYGRlBKBTC1tYWWlpa6o61TCKRCNu3b4e/v7/0ieypU6fCzs4O\nQUFBOHz4cJlj16xZA2dnZ2hoaAAAZs6ciYsXL+Kjjz7C5s2b4evrWyPnQAipWS9fvoRYLJb+nJ2d\nDeDtWsz/bS9V2XqKhBBSn1VprWctLS04OjrC0dFRXfFUys6dOwEAM2bMkLbp6OjA09MTq1atQkZG\nRpllL/r27SvX5uTkhNatWyMuLq56AiaE1LoZM2bIfGaUGj58uFwbx3GQSCQ1ERYhhNQplUoU9+7d\ni9WrV0MkEknrj/n7+0NTs0p5Z6XduXMHVlZW0NfXl2l3cnLCihUrEB8fr1J9NLFYjJycHLRr107d\noRJC6gBVSxG9WxCbEEIaC5Uzu0OHDsHT0xPA2yWqkpKSsGLFCuTm5mLjxo1qD1AZaWlp0NPTk2tv\n06YNAKj8YMqaNWvAGFN4ZYEQUv/5+/vXdgiEEFIvqPzUc3BwMAwMDPDXX3/h3r17ePz4MVxdXREW\nFoaCgoLqiLFCYrEYOjo6cu2lbc+fP1d6X2fPnsXq1avx2Wef4YMPPqjwuCKRCNbW1nKvkJAQ1U6C\nEFJnhISEKHxfi0QihfMXCSGkoVL5imJiYiJGjhyJrl27AgAMDQ0xc+ZMnDhxAsnJybWyqgGfz0de\nXp5ce2mboquNisTHx2PkyJGws7NTKtHj8/ng8/k0l5GQBsbHxwc+Pj5y7bQWNyGksVH5iuKzZ8/Q\nq1cvmbbSK2/Pnj1TT1QqMjQ0VHjsrKws6faKlF4Zbd26NY4dOwZtbW21x0kIIYQQUp+onCgC8hO7\neby3u6loWb/qYmNjA5FIhMzMTJn2CxcuQENDA506dSp3/PPnz/Hxxx/j9evXOHHihEoPvhBCCCGE\nNFSVekx53bp12Lt3r/Tn0qX8lixZIn2A5L/Kq2OoDpMmTcLy5cuxdetW6dOMubm52L17N9zc3KSJ\nX3p6OnJyciAQCKRPaOfn58Pd3R1paWk4e/YsLC0tqzVWQgghhJD6QuVE0dTUFGKxWO4BEVNTUzx9\n+hRPnz6Vaa+JshICgQDTpk1DYGAg0tPTIRQKERkZCbFYjCVLlkj7LVy4ELt27cKDBw9gamoKABg/\nfjyuX7+OqVOnIi4uTma+YcuWLTFkyJBqj58QUrOOHz8ONze32g6DEELqPJUTxbq6DmpoaCiMjY1x\n4MABREVFwdHREZs3b0bPnj2lfTiOk0tc//77b3Ach59++gk//fSTzDYzMzNKFAlpgD799FOMHj0a\nP/74I001IYSQclRqjmJd5efnh7///hvPnz/HsWPHZJJEAAgPD4dEIpFeTQSAlJQUSCQSlJSUyL2S\nk5Nr+hQIITVg5cqViImJQadOnRAaGlrb4RBCSJ3VoBJFQghRxoIFC3D37l306dMHM2bMgJOTE+7e\nvVvbYRFCSJ1TO2vuEUJILWvfvj0OHz6M6OhozJkzB/b29vj666/Ro0cPhf1ppSZCSGNEiSIhpFEb\nNmwYbG1t4eDggO+//15hH47jIJFIajgyQgipfXTrmRDSqIWFhcHBwQHFxcVYvXo1YmNj5V5nzpxR\neb+MMQQFBcHW1hZ6enpwd3fHtWvXKhz3888/g8fjKXy9WysWAP799194eHhAX18fNjY2WLRoEUpK\nSlSOlxBCFKErioSQRunu3bvw8vLCpUuX8OmnnyIkJETmQbeq8vb2RlhYGLy8vCAUChEREYEBAwbg\nzJkzcHBwqHB8UFAQzM3NZdp0dXVlfo6Li4OLiwuMjIzg6+uLx48fY+3atUhOTpapdUsIIZWllkQx\nLS0NT548gbGxsVLL5RFCSG1atGgR1q1bhzZt2mDfvn0YOXKkWvcvEomwfft2+Pv7Y+nSpQCAqVOn\nws7ODkFBQUotQuDm5gZ7e/ty+3z//fd47733EBsbK13swNzcHHPnzsX8+fMrHE8IIRWp9K3nO3fu\nYODAgWjRogWMjIzQs2dPtGvXDjo6Ovjkk08QHx+vzjgrVNnbPOnp6Vi4cCH69u2Lli1bgsfj4fz5\n8zUQMSGktnz//ff4/PPPER8fr/YkEQB27twJAJgxY4a0TUdHB56enjh+/DgyMjIq3AdjDC9fvixz\n+8uXL3HgwAGMGDFCZkWszz//HO+9955cXVhCCKmMSiWK27dvh729Pc6ePYtu3bph4sSJmD9/PiZO\nnIiuXbvi1KlT6NatW41+UHl7eyMgIAB9+vTB0qVLkZmZiQEDBuD69evljktISMDq1auRlpaGrl27\nAqiZ1WQIIbXn0qVL2Lx5M3R0dKpl/3fu3IGVlRX09fVl2p2cnCCRSJT6It23b1/o6OhAX18fY8eO\nRXp6usz2pKQkFBUVoU+fPjLt2tra6NatG/7999+qnwghpNFT+dZzVlYWvv32W9ja2iIsLAy2trZy\nfW7fvo3p06dj3rx5GDp0KPh8vlqCLUtVbvP06NEDYrEYrVq1wq+//orLly9Xa6yEkNr34YcfVuv+\n09LSoKenJ9deeuXv3aTvv7S1tTFlyhRponjjxg0EBwfj/PnzuHv3Llq3bi09BgCFx9HT08O9e/fK\njVEsFkMsFsPa2lpum4+PD3x8fModTwipm0JCQhASEqJwW3Z2tso5mcqJ4tq1a/H69Wvs27dPbqJ1\nqW7dumH//v3o3Lkz1qxZg5UrV6p6GJWUd5tn1apVyMjIKHOZrhYtWlRrbISQxkcsFkMgEMi1l17B\nfP78eZljR40ahVGjRkl/Hjx4MFxdXeHs7IzAwECsX79eeoz/7vPd45RuLwufzwefz5dZ354QUv+V\n90Wvc+fOKu9P5VvPt2/fxogRI8pMEkuZm5tj5MiRuH37tspBqUodt3kIIURd+Hw+8vLy5NpL2xRd\nBSxP79694ejoiIsXL8oc47/7fPc4qh6DEEIUUfmKYkpKCpydnZXqa2VlhatXr6oclKqqcpunKujW\nDSENU1m3bpKSkpS6bWNoaKjwC2pWVpZ0u6qMjY1lEsXSfZTu893jUAUKQog6qJwoPnr0SOlaY6am\npnj48KHKQamqKrd5qoJu3RDSMJX1RU/Z2zY2NjaIiYlBZmYmDAwMpO0XLlyAhoYGOnXqpHJMycnJ\nMDMzk/5saWkJLS0tXLx4EWPHjpW2v3z5Erdv38a0adNUPgYhhLxL5VvPxcXF0NDQUG7nPB6Ki4tV\nDkpV6r7NQwhpfNLS0nDjxg213IGYNGkSGGPYunWrtC03Nxe7d++Gm5ubdM50eno6EhIS8ObNG2m/\nZ8+eye3v2LFjuHXrFvr27Stta9myJUaMGIGDBw/KjNmxYweKi4sxderUKp8HIYRUquD2rl27cOXK\nlQr7JSYm1kipmeq4zUMIafju3LmDr776CpcvX0ZBQYG0vUWLFujVqxfWr19fqat/AoEA06ZNQ2Bg\nINLT0yEUChEZGQmxWIwlS5ZI+y1cuBC7du3CgwcPpHdqevXqBXt7e3Tv3h26urq4desWwsPDYWlp\nKTMWABYsWIBjx46hX79+mDx5Mh4/fowtW7Zg1KhRVGybEKIWlUoUT548iZMnT6o7lkqrjts8hJCG\nbfv27fDx8UFJSQk+/PBDWFhY4P3330daWhqSkpKk9WA3b95cqatzoaGhMDY2xoEDBxAVFQVHR0ds\n3rwZPXv2lPbhOE7uy/TYsWNx9OhRnDx5EsXFxRAKhZg7dy78/PzQvHlzmb5dunTBuXPnsGjRInz/\n/fdo27Ytvv76ayxfvrxy/yiEEPIOjjHGajuIqhKJRLCysoK/vz/8/PwAvL3NY2dnBxsbG2kdxfT0\ndOTk5EAgEEBTUz5H/vXXXzF69GicO3dOqQd2Sucr0RxFQuqXrKwsCAQCCIXCCuvBJiUlSR9iaUjv\n+YZ0LkQ1ixcDK1YAiYmAlVVtR0NqUmXe92pZ67m2VeU2DwAsW7YMwP/+4Xbt2oULFy4AgNytHkJI\n/VcX68ESQkhd1CASRaDyt3kAwM/PDxzHgTEGjuOkSw9yHEeJIiENUF2sB0sIIXWRyomih4eHyg+o\nlLeEnjr5+flJbz0rEh4ejvDwcLn2kpKS6gyLEFLH1MV6sIQQUhepnCj++++/0qtvZeE4DkVFRcjI\nyKiRp54JIUQVdbEeLCGE1EUqJ4oPHjwod3tRURG2bduGVatWAYDS39oJIaSm1MV6sIQQUhepbY7i\nq1evsGXLFqxevRrp6elwcXHBnj178NFHH6nrEIQQojZ1rR4sIYTURVVOFIuKirB161aZBHHv3r10\nJZEQUqfVtXqwhBBSF1U6USwqKpJeQczIyEDfvn0RFRUFJycndcZHCCFqRw+wEUKIclRe67mwsBDB\nwcEwNzfHvHnz0LlzZ5w/fx5nzpyp1SSRMYagoCDY2tpCT08P7u7uuHbtmlJji4uL8dVXX6Fjx44w\nNDTE8OHDIRKJqjliQgghhJC6TeUriubm5sjMzISdnR22bNkCJycncBwHsVhc5hg+n1+lIJXh7e2N\nsLAweHl5QSgUIiIiAgMGDMCZM2fg4OBQ5jjGGIYMGYLz589j1qxZaNOmDXbs2AFnZ2dcunSpwjpr\nhBBCCCENlcqJYmZmJgDgr7/+wvDhwyvsz3EcJBKJ6pGpQCQSYfv27fD398fSpUsBAFOnToWdnR2C\ngoLKreMYGxuLEydOYOfOnZg4cSIAYNy4cbCxscH69euxYcOGao2dEFLz6nI9WEIIqUtUThTLK2hd\nW3bu3AkAmDFjhrRNR0cHnp6eWLVqFTIyMtC2bVuFY3/++We0atUKnp6e0jYTExMMGjQIERERCA4O\nVrguNCGk/qJ6sIQQohyVMyB/f/9qCKNq7ty5AysrK+jr68u0Ozk5YcWKFYiPjy8zUbxz5w4cHR3l\naqo5OTlh9+7dSE1NhZmZWXWFTgipBVQPlhBClKPywyyquH37Nr755pvqPAQAIC0tDXp6enLtbdq0\nAQCkp6dXy1hCSMPy6tUr/PDDD7CwsJA+4Hb27FmcPXu2tkMjhJBaofZ7qikpKdi9ezciIyORkJAA\nAFi7dq26DyNDLBZDIBDItevo6AAAnj9/XubY7OxsaT9Vx4rFYojFYlhbW8tt8/HxgY+PT4WxE0Jq\n37v1YIVCIZo2bYr09HR4e3tL+yUlJdXIw3mEEFJXqCVRzMrKwr59+xAZGYnLly+jadOm+Oijj+Dj\n4wMPDw91HKJcfD4feXl5cu2lbYquGKprLJ/PR1xcnKohE0LqAFXrwXbu3LmGIySEkNpV6USxoKAA\nv/32GyIjI6WrG5SWofnll18watQo9USoBENDQ8THx8u1Z2VlSbeXN/bZs2eVGksIqZ8KCwuxZcsW\nrFmzBhkZGejXrx/27dtHCwYQQsg7VE4Uf//9d0RGRuLQoUPIz8+Hg4MD1q1bh7FjxyI3NxdWVlZy\nD4ZUNxsbG8TExCAzMxMGBgbS9gsXLkBDQwOdOnUqc2yXLl1w5MgRvHnzRubp5gsXLqBVq1YwNjau\n1tgJITWvrtaDJYSQukblh1nc3d1x6NAhzJ07F4mJibh69Spmz54t98RxTZo0aRIYY9i6dau0LTc3\nF7t374abm5v0ief09HQkJCTgzZs30n6TJ0+W9i316NEjHD16FBMmTKDSOIQ0QO/Wg9XX10ebNm3K\nfNXm5xshhNQmlbMgQ0NDpKenIzIyEgAwYcIEdOjQQe2BqUIgEGDatGkIDAyUTkSPjIyEWCzGkiVL\npP0WLlyIXbt24cGDBzA1NQUA9O/fHwMHDsSMGTNw584dtGnTBmFhYWjevDm++uqr2jolQkg1qov1\nYAkhpC5SOVF8/PgxYmNjERERgR9//BHLly9H9+7dMWHCBPTo0aM6YlRKaGgojI2NceDAAURFRcHR\n0RGbN29Gz549pX04jlNYODcmJgbz58/H4cOHkZ2djd69e2P16tW0fB8hDVRN1YNljGHZsmX49ddf\nkZqaCkdHR/j7+8t8Lilj+vTp2LFjBz799FPExMTIbHNxccGFCxfkxri6uuL48eNVip8QQlROFDU0\nNDlMuhkAACAASURBVDBw4EAMHDgQW7duxeHDhxEREYH58+fj9evXAIDz58/D0dERRkZGag+4PH5+\nfuVeKQgPD0d4eLhce9OmTfHDDz9UZ2iEkHrq9u3biIyMrFSZr8quQf9fN27cwM6dO6GlpVXmCjEm\nJiZYuXKlTFu7du1UjpcQQt7FsfLWsFLB8+fPERUVJS2RAwDdunWDh4dHnVzNRR1KS2VQeRxCGhZF\n9WBLSkpUes+LRCJ06NBBZg36vLw82NnZoUuXLkqtHc0YQ+/evdG5c2ecPn0aNjY2cuNcXFwgFovx\nzz//qHSO9PnVeC1eDKxYASQmAlZWtR0NqUmVed+rbWUWPT09zJw5E5cuXUJSUhICAwNRUFCAwMBA\ndR2CEEKqTVZWFjZv3ozevXvD0tISQUFBMDExwcaNGytc8k+R8tagP378ODIyMircxy+//IK7d+9i\n2bJl5a5LzRiDRCJBUVGRynESQkh5qmUJP3NzcyxZsgTx8fG4ceNGdRyCEEKqrKCgAHv27MGgQYPQ\nrl07zJ07V7rtl19+wYkTJ+Dj4yN9+E0V5a1BL5FIFNZ+/a8XL15gwYIFWLRoUZlr1Ze6d+8etLW1\n0aJFCwiFQgQHB5ebWBJCiLKqvfaLvb19dR+CEEJUUhP1YKu6jnxgYCC0tbUrrL4gEAjQv39/2NjY\nID8/H/v378c333yDhIQEhIaGljmOliAlpGEKCQlBSEiIwm3Z2dkq14RVOVG0sbEpc0L1uxhj4DhO\n5bkzhBBSndzd3aGtrY25c+fis88+g1AolG7Lzc1VyzGqsgb9vXv3sGHDBuzduxdNmjQp9zhhYWEy\nP48fPx5eXl4ICwvDzJkzYWdnp3AcLUFKSMNU3he9yixDqvKtZz09PekHDJ/PR8uWLXHnzh3weDyZ\ndj6fDz09vXLXSiaEkNpgaGiI/Px8REZGYteuXUhMTFT7MaqyjvycOXPQu3dvDBs2rFLHnjdvHhhj\nuHTpUqXGE0JIKZWvKJ47d07m56ysLBgYGGDdunXo37+/uuJSWXFxMRYsWIDjx48jJycHvXr1wurV\nqxV+o39XYmIitm7diqtXr+LWrVsoLi6WKcpNCGlYaqIebGXXoI+NjcWJEydw8OBBmYdo3rx5g4KC\nAjx8+FD6Jb0spUuPpqamVuEMCCFEjQ+zKHs7ujowxjBkyBBs27YNgwcPxtdff424uDg4OzsjJSWl\nwvGXL1/Gxo0bkZ+fD2tr61o9F0JI9SutB7tz505kZGRgz549MDQ0xPz58+Hk5ATgbT3YJ0+eVPoY\nNjY2EIlE0uUCS1W0Bv2jR48AAMOHD4eFhYX09fTpU8TGxsLc3FxhPdj/Sk5OBgCYmZlVOn5CCAGq\n6annmlb6DXzbtm1YvXo15s+fj9OnT6OgoADr16+vcPyQIUOQm5uLv//+G56envS0ICGNSLNmzTBm\nzBjExMTg6dOn2LRpEz788ENs3LgRJiYm6N69e6VqwVZ2Dfr+/fvj0KFDMq/o6Gjo6+vDwcEBhw4d\nwqBBgwC8fTL61atXMsctXQ1GU1NTmvQSQkhlVftTzzXh559/RqtWreDp6SltMzExwaBBgxAREYHg\n4GBoapZ9qq1bt66JMAkhdVxpPdiZM2ciJSUFkZGRiIyMRGBgoMrJYmXXoDcxMYGJiYnc/ubMmYO2\nbdti8ODB0rabN29i3Lhx8PT0hKWlJQoLCxEdHY0///wT8+fPV/hEMyGEqKJBJIp37tyBo6OjXDkL\nJycn7P4/9u47KorrcRv4M0tb6aw0EaQIioiKYg32ig27BguSxIrdaEyigoox32CwoFgSCyC2qNhN\nTAwoJhZsiUERaYLKorSlSRH2vn/w7v5YdoEFtgH3c86exJk7M8/Mzgx3p9x74gTevHlDb8FQFFUv\ngvZgN2zYgMePHzdoHo3pg746SWVsbGwwcOBAnD9/HhkZGdDT00OnTp3wyy+/YOrUqQ3KTFEUVVW9\nK4rVT5g8Hg9AZXMOhoaGEqeRd1uKXC5X4ivfVdsroxVFiqIaqjHnsIb2QV+dpOetbWxscPr06QZn\noyiKqku9K4o1vRHo4+MjcTjDMKioqJB6/oQQsWduasJmswFUNiApaJusKmnaK2sM2mAtRTVNdbUH\nm52dLXbesLOzQ1JSUr0bq6UoimrK6l1RPHLkiDxyCN26dQtDhw6VquyLFy/QoUOHRrVX1hi0wVqK\napqqnxM+fvyIu3fvomvXrjA0NASHwxFphJthGERFRTWosVqKoqimrN4VRW9vbznE+D+dOnVCSEiI\nVGUF7ZCZm5sjMzNTbHxd7ZVRFNUyqWp7sBRFUapG5V5mMTMzg5eXV72mcXZ2xpUrV1BeXi7ydnN0\ndDQMDQ2Fjc9SFEXVhrahSlEUJapZtKPo7e0tbJ9MIC0tDVevXsXs2bNFKo9paWl48eKFMmJSFEVR\nFEU1KSp3RbEhhg0bhhEjRmDRokWIjY2FsbExDh06BG1tbaxatUqkrJeXF6Kjo8Hn84XD8vPzERQU\nBADCvlH37NkDAwMDGBkZ0ZdSKIqiKIpqkZpFRREALl++jK+++gqXLl1Cbm4u3NzcEBAQAFtbW5Fy\nktosy8nJEWm+gmEYBAYGAqhsfoJWFCmKoiiKaomaTUVRU1MTu3btqrNcVFSU2DAbGxuRK4wURTVv\nqtgeLEVRlCpqNhVFiqIoacm7PViKoqjmglYUKYpqceTdHixFUVRzQSuKFEW1OPJuD5aiKKq5aBbN\n41AURVEURVGyRyuKFEVRFEVRlES0okhRFEVRFEVJ1GwqimVlZVi1ahUcHR1hbm6OyZMnIzExUapp\nIyIiMGPGDNjZ2UFHRweOjo5Ys2YN8vLy5JyaoiiKoihKdTWLl1kIIZgwYQJu3bqFpUuXwtjYGIcP\nH8bAgQPx999/izW6Xd2CBQtgamqKKVOmwMbGBlevXsXu3btx8+ZN3Lt3T6QLQIqiKIqiqJaiWdSA\nIiMjcf36dYSGhmLOnDkAAE9PT3Tp0gU7d+4Uds9Xk1OnTmH48OHCfy9ZsgTHjh3D3LlzcebMGXh6\neso1P0VRFEVRlCpqFreeQ0JCYGhoiJkzZwqHWVlZYdy4cQgPD0d5eXmt01etJApMmDABAPDs2TPZ\nhqUoiqIoimoimkVFMTY2Fn369IGamprI8AEDBoDH4+HNmzf1nmdSUhIAwMLCosYyOTk59Z6vMgQH\nBys7gtSaSlaaU7aaSk6g6Rz3qkJVvltVyKHMDJmZmVi6eiksHSyxfbce0MoS/j8sQ1ZWltIyqcJ3\nAtAcdWEIIUTZIRrL3Nwcw4cPR3h4uMjwc+fOYdq0abhz5w769u1br3l6enri4sWLiIuLg7W1tcQy\namrqANSgq9tebJyDwxJ06LCkXsuUl6tXnTB27HNlx5CKrLIyjAzC1OLKFSeMG6eYbdqYdbl82Qnj\nx8s+Z2PPGtWnl+c+OnMmMG5c/aYJDg6WeNJOSkpCRUVFnXcpmoLOnTsDkP9dEycnJzx/rvzzjyrk\nUEaGvLw8+Pr7IvxMOPJd8lHetRw4CGAhoP5UHfr/6GP2tNnYsnELDAwMFJpNFb6TlpajQcc9UTF8\nPp8UFxdL9RHQ1NQkixcvFpvX77//ThiGIVeuXKlXhtDQUMIwDPHz86u1HIulSQAnUvlnT5U/nVQg\nQ3PLSnM2lZwBAfU6/Gvl5ORENDU1pSrL5/PJli1bSNeuXQmHwyGjR48m9+/fr/cy582bRxiGIePG\njZM4/unTp2TcuHHE2NiYODs7k2+++YZUVFTUOV8nJyfi5ORU7zz11alTJ7kvQxqqkEPRGXg8HtFT\nYxETTRBj7f/7qDGi/zbRBNFTYxEej6fQfKrwnRDSsnI05LhXuZdZbt26haFDh0pV9sWLF+jQoQM4\nHA7y8/PFxguGtW7dWurlR0dHY8GCBXB3d4evr2+tZdXVgfbtgX//lXr2StGtm+pnFFD1rIRU/lfV\ncgpyVefiAvzzT/3mJa+rsbXNt6HbU5qsLCU9YLN48WIcOnQICxcuhIODA8LDwzF8+HD8+eef6NWr\nl1TzePjwIUJDQ8Fms8FIWNlnz55h8ODBaNu2Lb755hu8fv0aP/74I5KTk3Hq1ClZrxLVxPj6+4Kt\nxsf7MgBl/zfcCcDzD6JlTTX58Nvqh13bdykyItUEqFxFsVOnTggJCZGqrLm5ufC/mZmZYuMFz14I\nytXl33//hYeHB7p164azZ8+CJcVfGIYBNDSkmr1SNYWMAk0hK8MAmprKTlE3hgG0tJSdQjpN4XuX\nVmJiIn7++Wds2rQJGzduBAB8/vnncHFxgb+/Py5dulTnPAghWL58OebOnYsbN25ILPO///0PWlpa\niIyMhLGxMQDA1tYWK1euxFdffYUePXrIbqWoJiUzMxPhZ8LBUodIJbEmRB049ssxbFi3QbgvURSg\nghVFMzMzeHl51WsaZ2dnXLlyBeXl5SJtHkZHR8PQ0BCWlpZ1ziMpKQnu7u5o06YNrl27Bm1t7Xpn\npyiKAoDQ0FAAwKJFi4TD9PX1MXPmTPzwww949+4dzMzMap3HsWPH8Pz5c5w/fx5//PGH2PjCwkKc\nO3cOX3zxhcgf9i+++ALr1q3DkSNHaEWxBdv8/Wbku+TDUPJvDInyXfKx+fvN2BO4R37BqCanWbz1\n7O3tjby8PJw4cUI4LC0tDVevXsXs2bNFKo9paWl48eKFyPQZGRkYOXIk1NXVcf369XrdqqYoiqou\nNjYWHTp0gImJicjwAQMGoKKiAnFxcbVOX1BQgHXr1uHbb7+tsUKZlJSEkpIS9O/fX2S4jo4Ounfv\njv/++69xK0E1aRcuX6h8caUeyruW4/yl83JKRDVVKndFsSGGDRuGESNGYNGiRYiNjYWxsTEOHToE\nbW1trFq1SqSsl5cXoqOjwefzhcPc3d2RkpKCr776CtHR0SLlBW9US8IwDJKSkoRvEamq3Nxclc8o\n0FSy0pyy1VRyJiUlSXxWsDoulyvxB6fgyl9GRkat02/ZsgU6Ojpi56/qywAkP4PdunVrvHz5stZl\nJCUloaysDFoSnk3gcDjgcDi1Ti8tVfluVSGHIjNkpGYAB4HcYqD6EnMhYVgxgINABi9DYRlV4Ttp\njjlycnJqbMaLz+eDzWbXa37NoqIIAJcvX8ZXX32FS5cuITc3F25ubggICBDrvo9hGLET/dOnT8Ew\nDAICAsTmO3jw4BorioaGhigqKpLdSsiJrE74itBUstKcstVUcmpoaEBHR6fOcjk5ObC3txcbrq+v\nDwDIzs6ucdqXL18iKCgIp06dgkYtD24K/hAI5ll9OXW19yg4f7Vr167Wco2lKt+tKuRQZIaODh0r\n/8dEfJykFB0F/yOhvLyowncCNL8ctf3QS0tLk+ocVlWzqShqampi166639aKiooSG1b16mJ91HVV\ngKKolqkxLTGsWLECbm5umDRpUp3LqDrP6sup6xEaev6iKEoazaaiSFEUpSrMzc0lPodYV0sMgn7r\nIyIi8OrVK+Hw8vJyfPjwAampqeBwONDT0xPOQ1LPGllZWVK39kBRFFWbZvEyC0VRlCrp0qULEhMT\n8f79e5Hh0dHRUFNTQ6dOnSROl5aWBgCYPHky7OzshJ/09HRERkbC1tYWR48eBQC0b98ebDYbt2/f\nFplHYWEhnjx5AmdnZzmsGUVRLU2z6MKPoihKlSQmJqJDhw7YtGmTsOH+vLw8uLi4oEuXLsJ2FDMy\nMsDj8WBvbw91dXW8fv0aT548EZkXIQQLFiyAjY0N1q9fD2dnZ9jZ2QEA5syZgxs3buDp06fCN6x3\n796NVatW4eHDh7R5HIqiGo1WFCmKouRgwYIFOHLkCBYsWAAHBwccP34cCQkJ+OOPP9C7d28AlU17\nhYWF4dWrV7W+VGJjY4OuXbuKNdQdGxuLQYMGwcLCAt7e3nj9+jX279+PiRMn4vTp03JdP4qiWgZ6\n65miKEoOfvrpJ/j6+uLvv//G1q1bYWpqKlJJBCS3wiBJTWWcnZ1x8+ZN2NjY4H//+x9u3LiB1atX\n4+TJkzJbD4qiWjiZ9zjdDPD5fLJlyxbStWtXwuFwyOjRo8n9+/elmra0tJSsXLmSdOzYkZiZmZFJ\nkyaRhIQElcp548YN8tlnnxEHBweira1N7OzsyLx58wiXy1WpnNXNmzePMAxDxo0bJ4eUjc957949\nMmXKFGJlZUX09PSIq6srOX36tMplvXHjBhk6dCgxMTEhurq6pGvXriQoKIjw+XyZZiwsLCS+vr5k\n1KhRxMjIiDAMQ0JCQqSeXpHHUmOyKvp4UiWN+Y4iIiLIyJEjiYWFBdHS0iIWFhZk/Pjx5O7du2Jl\nra2tCcMwYp9FixYpLAMhhERFRZERI0YQIyMj4urqSn788UeZbItz586R6dOnE1tbW6KtrU06duxI\nvvzyS8Lj8eq1LRSZQ57b48WLF2TlypWkX79+REtLizAMQ1JTUyWWlde+UZ8M8twWhBDC4/HIZ599\nRqytrYmVlRWZNWsWef/+fb22RWPQiqIECxcuJGpqasTHx4fs3LmTuLq6Ej09PRITE1PrdHw+n7i7\nu5NWrVqRtWvXkh9++IF06NCBtGnThiQnJ6tMTldXV9KuXTuyfPlyEhwcTKZNm0bYbDZp165djScE\nZeSs6sGDB0RDQ4O0atWKjB8/XuYZG5vzl19+IWw2mwwaNIgEBASQgwcPklWrVpHAwECVynrz5k2i\nrq5OHBwcyLp160hAQAAZOHAgYRiGfPvttzLNmJKSQhiGITY2NmTIkCGEYRgSGhoq1bSKPpYak1XR\nx5OqaOx3tGXLFuLp6UkCAgLIzz//TBYtWkTatWtH2Gy22I8eGxsb0qNHD3L8+HGRT0xMjMIyREZG\nEjabTdzc3Mju3bvJ559/ThiGIevWrWv0tmjdujXp1KkTWbNmDdm7dy8ZPXo0UVdXJ66uruTjx49S\nbYsHDx4oNIc8t8fRo0eJmpoa6dq1K+nevTthsVg1VtLktW/UJ4M8t0VhYSHp0aMHMTExIb6+vmTL\nli3EwsKCdOrUieTm5kq1LR48eFDncmpDK4rVJCQkEBaLRbZs2SIclpeXR2xtbeusoNy4cYMwDEPC\nwsKEw9LS0oiBgQFZtmyZyuSMjIwk5eXlIsOio6MJwzBk27ZtKpNTgM/nk379+pF58+YRGxsbuVQU\nG5MzNzeXGBgYkPnz58s8lySNyTpv3jzCYrHI8+fPhcMqKipI+/btSZs2bWSas7S0lLx7944QQsjD\nhw/rVflS5LHU2KyKPJ5UiTy+o3fv3hENDQ2yePFikeHW1tYS921FZujfvz9xdnYmxcXFwmGrVq0i\nGhoa5MyZM43K8ccff4gNCwsLIwzDkBMnTogMr2lbENL47VGfHPLcHjk5OaSwsJAQQsj27dvrvKIo\nj32jPhnkuS0OHTpEGIYh0dHRwmFPnjwhampqYhciats3GoNWFKvZsGEDYbFYYpd1169fT9TV1UlG\nRkaN086ePZsYGRmJ/dGYNWsWMTIyEvtFpqycNeFwOGTWrFmyikgIkU3O0NBQYmBgQDIyMuR2IDQm\n55YtW4impqZw2pKSEpnnk1XWjRs3EjabTbKzs0WGDxw4kLi6usolLyGVV4TrU/lS5LFUXX2z1kQe\nx5Mqkcd3lJmZSVq1akXWr18vMtza2pqMGzeOlJWVkdLSUoVnSEhIIAzDiNxOrDq8R48eMs+Rl5dH\nGIaRelsQIp/tISmHIreHNBVFee8btWWQ97YQVEKrc3NzI507dxYZVtu+0Rj0ZZZqYmNj0aFDB2FT\nEwIDBgxARUWFxEZ0q07bp08fqKmpiU3L4/Hw5s0blcgpSU5ODng8HiwsLGSWEWh8zoKCAqxbtw7f\nfvstzMzMZJpNVjkjIyNhbW2NBw8eoGvXrtDW1oaNjQ0CAwNVLquXlxcMDAywcOFC3Lx5E0+fPoW/\nvz/u37+PFStWyCVvQyjyWJIHeR1PqkRW3xGPx8O7d+9w/fp1LFiwAPr6+pg7d65YucjISGhra0NX\nVxfOzs44duyYwjI8e/YMANC/f3+R6ezt7WFubo5Xr17JfH9NSkoCAIn7kKRtAcjnuJGUQxnbozby\n3DfqIu9tERsbKzZvwfQvXrwQ61mupn2jMWjPLNVwuVyJXV8ZGxsDqL3bKy6XK7FD76rT2tjYKD2n\nJNu3bwchBJMnT5ZJPoHG5tyyZQt0dHSwatUqmeaqrjE5U1JSUFhYiOnTp2PNmjXYvHkzzp07h7Vr\n16K0tBTffvutymS1t7dHXFwc+vTpg6FDhwKo7L84MjISbm5uMs3ZGIo8luRBXseTKpHVd9S3b1+8\nfPkSQGUzQLGxscJ5CHTr1g0DBgxAx44dkZWVhZCQEMydOxc6OjoKycDlcgFI7nrR2NgY8fHxdR6T\n9d1fAwICwGazMXbsWJHhNW2L169fy+W4kZRDGdujJvLeN+oiz21RUlKCvLy8Gqfn8/l4//69sBem\n2vaNxvwdohXFanJycmBvby82XF9fHwCQnZ1d47S5ubnCcvWdtr4ak7O6qKgoBAQEwMvLC3379pVZ\nRqBxOV++fImgoCCcOnUKGhoaMs1VXWNycrlcfPz4EWvXrsWmTZsAAJMmTcLLly8REBCAlStXQltb\nWyWyJicnY8aMGTA0NERYWBjYbDZOnDiBqVOn4sSJExgyZIjMcjaGIo8lWZPn8SQvhBCUlpZKVZbN\nZgOQ3XcUEhKCgoICJCYmYteuXRg0aBBOnjyJDh06CMtUbxPys88+w+jRo/Hbb79BXV38z1hDMyQl\nJUnM8O7dOxBCoKmpiZKSEuF0bDYbenp6+Pjxo0z317CwMJw6dQrr16+HmZmZyDKrbwtPT09MmjQJ\nW7duRUVFhUJyKHp7EEJQUlIisiwBee8bknJUJc9tkZOTI1K2pukFFcWLFy+KlBFsi61bt+Lzzz9v\ncLeetKJYDYfDQX5+vthwwTBJNXtZTFtfslpWXFwcpk6dChcXFwQHB8ssn0Bjcq5YsQJubm6YNGmS\nzHNV19jv/d27d3B3dxcZPmrUKDx8+BAJCQno1q2bSmTdtWsX0tPTkZCQIKy8Tp06FUOHDsX69etx\n584dmeVsDEUeS7Ik7+NJXm7duiW8wlyXFy9eoEOHDjL7jgSVaQ0NDSQkJIAQgm7dutXavuSLFy+w\natUq/Pbbb0hNTZVZhhEjRsDS0hLjx4+XmKH6lZ8XL14gPz8fGhoaMttfo6OjsWDBAvTu3Rvbtm3D\ntm3b6pzm0KFDuH79OgwNDRWaQxHbQ8DR0VGqcrLeN6q6d+8ePD09JY6Tx7bgcDgiZes7PQCsWrUK\n169fx6NHj8SuTkuLVhSrMTc3l/iMV1ZWlnB8bdNmZmY2aNr6akxOgdevX2PUqFEwMjLCtWvXoKOj\nI7N8jc0ZGRmJ69evIyIiAq9evRIOLy8vx4cPH5CamgoOhwM9PT2l5gQqn915//69WHdpgn9zuVyZ\nVhQbk/XKlSsYOnSo2BXO8ePHY+3atcjJyRGenJRJkceSrCjieJKXTp06ISQkRKqygm0v6+9IkGH/\n/v14+fIldu7cWWuG8vJyABDrT7sxGQCgV69ewlvRggyPHj1CUFAQNmzYIHI139zcHFlZWdDV1ZXJ\ntvj333/h4eGBbt264dSpU2L9eNdEUIlSVA5FbY+qAgMDparcyXPfsLe3FztO5Lkt2Gw2DAwMhGWr\nT89isWBqalprZktLSwBo1DOZtKJYTZcuXXD58mW8f/9e5AuIjo6GmpoaOnXqVOO0zs7OuHLlCsrL\ny0UueUdHR8PQ0FD4hSk7J1B5uXrkyJH4+PEjoqKi5PaiSENzpqWlAYDEZ7zS09Nha2uLXbt2Yfny\n5UrNCQBdu3bFkydPcO/ePYwaNUo4/N69ewBQa9dsis5aVFSEiooKseEfP34En89HcXGxTLM2lCKP\nJVlQ1PEkL2ZmZvDy8qrXNLL+jgQZzp8/Dy6XW2ee5ORkAJXnClnuJ2ZmZjA3NxfJ0K9fP+zZswd6\nenoiuRITE/Hu3Tt0794dMTExjcqRlJQEd3d3tGnTBteuXUPr1q1ha2srVeYrV64AABwcHBSSQxHb\noyqGYTBlyhSpz6Xy2jdMTEzE9kt5bwtnZ2eJPxiio6Ph6OgIFqv2d5IF26JRz2PK7P3pZkLwSvvm\nzZuFw3g8nlj7fVwul8TFxYm82i5ot6lqsxqpqalya0exoTkLCwtJ7969iYGBAXn8+LFMc8kqZ1pa\nGrl48aLI58KFC8TU1JT07t2bXLx4kSQlJSk9JyGE/PXXX4RhGLJkyRLhsIqKCuLs7EwsLS1l3pRL\nY7IOHz6ctG7dWqR5nPLycuLq6ko4HI5Mc1ZVW5Mzyj6WGptVkceTKqnPd5Samkri4uJEhgnarawq\nJSWF6OnpkenTpwuH5eTkiDUtUlZWRtzc3Ii2trZCMhBS2UxJ586dyYcPH4TDVq5cSTQ1NcnZs2cb\nlYPL5RI7OztiaWlZa+8ftW0LfX19EhERoZAc8t4eVdXWNI089w1pMxAi320haEfx1q1bwmGPHz8W\na0exrn0jKyurxvWrC60oSjB//nyipqZGFi9eTHbs2EFcXV2Jvr6+SEv9c+fOlbjjjBw5UqQFdgcH\nB7n1JtHQnBMmTCAMw5AvvviCHDt2TORz4cIFlckpibzaUWxszilTphAWi0UWLlxIgoODyYgRI4ia\nmho5efKkSmW9c+cOYbFYxN7engQEBJCgoCDSr18/wjAM2bdvn8xz7tmzh/j7+5PFixcThmHIlClT\niL+/P/H39yd5eXk15iREscdSY7Iq+nhSJdJ+R4MGDSIMw4gMMzU1JTNnziQ//PAD+emnn8jatWsJ\nh8MhHA6HpKWlCcsdPXqUtG/fnnz99dfkwIEDZNu2bcTZ2ZmwWCyyf/9+hWQghJA///yTsNls8skn\nn5Bdu3YJe9/46quvGr0tunXrJuzJo/o+VLUR7Lq2haJyyHt75OXlCY89d3d3wjAMWbNmDfH3yzcY\nwgAAIABJREFU9yd79+6VensoIoO8t0VhYSFxcXEhxsbGwp5Z2rRpQxwdHUV6ZpFm32goWlGswebN\nm2vtR9fb21tilz6lpaVkxYoVpGPHjsTU1FSu/dM2NKeNjQ1hsVgS+4S0tbVVmZySyKtnlsbmrKio\nIOvXryddu3Yl+vr6xM3Njfz6669yy9mYrHfu3CEjRowgZmZmxNDQkPTt21dufVLb2NgI9y0WiyXc\n76rmUpVjqaFZlXE8qQppv6PBgwcTFoslMmzTpk2kV69ehMPhEG1tbdK5c2eyePFikp6eLlLu0aNH\nxMPDg1haWhI2m03atm1LRo4cSSIjIxWWQaB6f77bt2+XybYQ7GeS9qEhQ4ZIvS0UlUPe20PQpWbV\n41HSMSXPfUPaDPLeFoSI9vVsaWkpsa9nafaNhmIIIaThN64piqIoiqKo5or2zEJRFEVRFEVJRCuK\nFEVRFEVRlES0okhRFEVRFEVJRCuKFEVRFEVRlES0okhRFEVRFEVJRCuKFEVRFEVRlES0okhRFKVA\nRUVF8PPzg7u7OzgcDlgsFkJDQ8XKxcTEwMfHB66urtDQ0Ki1qy4WiyXx88MPP8hzVSiKagFoRZGi\nZOjSpUvQ09NDQUGB0jK4uLhg06ZNSls+VbvMzEz4+/sjPj4eLi4uACr7sq3u2rVrOHz4MNTU1NC+\nfXuJZaoaOXIkwsPDRT4eHh5yWQeKUrSgoKDG9VcsAT1XSqnRTXZTlAxJ6hFA0ufWrVvClvN//PFH\n4fRRUVHCMuHh4RKX8cknnxCGYYizs7PIcGtr6xqX5+7uLlX+gQMHkvnz5zd8A8jA/v37iampKSkp\nKVFqDkqy0tJSYR/DDx8+rLFf6Xfv3gm/wyVLloh17VUVwzBy7wO7qTt69ChhGIY8evRI4vhBgwaJ\nnRMEysvLSZs2bQjDMDX2uOTn50cYhiFmZmYiff4KWFtbk3HjxokMq3qO0dLSIg4ODmTkyJFk3bp1\nJDMzU6r1evbsGdHQ0CCfffaZ2Ljc3Fxibm5O+vbtS/h8fo3zqHreZBiGaGhoEDs7O+Ll5SWxy8zi\n4mKyYcMGMnDgQGJoaEgcHBzI9OnTSXR0tMT5v3//nixfvpx07NiRtGrVipiampLevXuTdevWkcLC\nwjrXsby8nNja2pLvvvuuzrL1Qc+V0lFXdkWVoqoKDw8X+XdoaCj++OMPseGOjo748OEDAMlXY9hs\nNk6cOIFZs2aJDH/16hXu3r0LNpstNh3DMOjevTu+/PJLsflZWFjUmf3hw4e4ffs2du7cWWdZeZo1\naxbWrl2LY8eOYd68eUrNQonT1NSEqakpAIDU0jGWoIy0CCEoKSmBuro61NXpqb0harpqGxkZiYyM\nDOjo6OD48eNwd3evcR7v37/H/v37sXr1arF5S5r/yJEj4eXlhYqKCqSlpSE+Ph579uzBgQMHsH37\ndsyfP7/WzE5OTvjqq6+wbds2eHt7Y+DAgcJxX3/9NbKzs3H9+vU6r0gDwIoVK9CrVy8UFBTg0qVL\nOHXqFG7cuIHY2FgYGRkBAJKSkjBp0iTExcXB09MT06ZNQ0ZGBi5evIihQ4fC398fX3/9tXCehYWF\n6N+/PzIyMjBixAj4+PigpKQEjx49wp49e+Dj4wMdHZ1ac50/fx5v3rzBF198Uec61Ac9V0pJ2TVV\niqpNbVdSBFcUAwMDhcMEv4ynTJlCNDQ0SFZWlsg03333HTE3NycDBgyQeEWxMf1If/rpp6RXr14N\nnl6W5s+fTzp37qzsGFQdHjx4UOMVxaqkuaKoq6tLWCwWYbPZxNXVlfz222+yjtukSXNFsUuXLhLH\neXl5EVtbW7Jhwwaiq6tLioqKxMoIrih2796dmJubk+LiYpHxks4vNV0JTk5OJj179iQaGhrkv//+\nq3PdSkpKiL29PXF0dCRlZWWEkMo+3VksFlmzZk2d0wvOm+fOnRMZvmrVKsIwDNm9e7dw2KBBg4iO\njg75/fffRcoWFxcTDw8PwjAMuXnzpnB4cHAwYRiG3L17V2y5PB5Pqqt5ffv2JdOmTauzXEPQc2Xd\naF/PjWBubo6ioiK0a9dO2VGaLS6Xi9zcXDg5OYmN+/jxIxISEmBmZobWrVsDAD58+IBXr16hbdu2\n4HK5MDMzE/4SBip/Devo6KCkpAQVFRVo3769cFxCQgK0tLQa/H3GxcWhdevWYleCioqK8P79e5SW\nlgIA1NXVoa+vL1YuOzsbeXl5KCsrg4aGBgwMDGBsbCy2nMLCQmRlZaG0tBSEELDZbJiYmIj8Ks/P\nz8ebN29gb28PTU3NBq0PJS4tLQ06OjrIyMiQyfwePnyI3r17IyQkBF5eXjWWW7p0Kfbt2wc+ny9x\nfP/+/TFjxgzY2tri7du3CA4ORmxsLMLDwzFz5kyJ07S08xePx0N6ejrs7OzAZrPFxr969UrsnABU\nXqmNj48Hh8OBoaEhEhMT0bZtWxgYGIiUy8zMRGZmJqysrPD69WuR8xIg+fzy/PlzcDgcmJubi+Up\nKSlBcnIydHR0YG1tXef6FRUVITU1FSYmJjA2NkZycjL4fD7s7e3rvJooOG9aWVlBT09POLy4uBgp\nKSnCjAUFBXj9+jVat24NMzMzsfmUl5cL19POzg7A/53DO3XqJNVVTUnzfPnyJdq0aSNyLq96/ldX\nV0dOTg7Kysqgq6sLc3NzqKmpIScnBzweDx8/foSuri7atGkj9lJYSztXNuQcRiuKjSA42VQ/saia\nnJwccDgcZceQSlPJSnPKVlPJmZSUBKDyj7gsyKqiWN3Hjx/h6uqK9+/fIy0tTeIfQDabLfxRUh2H\nw2nw99FUvktF56yoqMD7zPcoKCwAIQQMw0BfTx8mxiZQU1NTmZwN1VRyAk0na0Nz5uTkICcnR+I4\nPp8PNptdrxcu6YMsjUAIgb29PZ49e6bsKLVycnJS+YwCTSUrzSlbqpKzuLgYt27dQnx8POLj4/Hi\nxQswDIOOHTvC0dERgYGB4HK5yo5ZJw0NDSxduhSLFi1CQkICOnfuLFZG8ANX1ttdVb7LuigqZ15e\nHnz9fRF+JhwF/QtQ3rW88i9vOZD/NB/4B5g9bTa2bNwidpVSkTkbq6nkBJpOVnnklHQuqAutKFIU\n1eJlZGRg7969OHjwILKzswEAenp6sLOzQ0VFBWJiYlBUVCR8+WTDhg1YtmyZxNtvqsLS0hIA8ObN\nmwb9caAaLy8vD526d0K2UzbKvMpE/+KqA+U9ypHTNQcH/jmAM93PIO5JnMTKIkUpE21HkaKoFs3b\n2xs2NjY4fvw4Vq1ahbt37+Ldu3fIy8vDkydP8PTpUxQUFCAjIwM2NjZQU1NDeHg4rK2t8dlnnyk7\nfo2Sk5MBQOZtz1HS8/X3RXbnbJT1Kqv5sow6UNazDNlO2fDb6qfQfBQlDVpRpCiqRePxeLhw4QKS\nk5Px7bffok+fPjAxMRErZ2pqCm1tbaipqSE5ORnnz58Hj8dTQmJRWVlZYsMKCgqwa9cuWFlZwd7e\nXgmpqMzMTISfCUeZS5lU5cu6l+HYL8ckfp8UpUz01jNFUS3ahQsX6j0Ni8XC6NGjMXr06AYtc+/e\nvcK3cIHKHn3S0tIAAMuXL4e+vj5SU1Nx7NgxAJUvvQDAd999B0IIbGxsMHv2bOG8Lly4AA8PD1hZ\nWYHL5eLIkSN4+/YtLly4UOuLEpT8bP5+M/Jd8qX/K6sO5LvkY/P3m7EncI9cs1FUfdCKIkVRlIIF\nBgYiNTUVQGVDzOfPn0dERAQYhoGXlxf09fWRkpICX19fYRmGYbBx40YAwODBg4UVxf79++Pu3bs4\ndOgQcnJyYG5uDhcXF1y4cEHYRSCleBcuX0D5p+X1mqa8aznOnzpPK4qUSqEVxUZoCq/XA8CSJUuU\nHUFqTSUrzSlbqpQzOjq6xnFFRUXQ1dXFs2fPYGVlBX19/QYtIyUlpc4ygwcPlqo5nOHDh2P48OEN\nyiEPqvRd1kbeOcs+1vJcYk3U//90VdDtKXtNJauq5JR7O4oVFRVgGEaskcvmQPAmYVN4zZ6iKOnU\ndq4SnC4FDQd3794dmzZtwvjx4xWSTZbo+Uu+LB0s8fbTt/WrLJYDbU+1xZuEN3LLRbVsDTnuZX5F\n8cGDBzh37pywDbKkpCSwWCzY2dnB0dERHTt2xKRJk9C7d29ZL5qimrwtW7bg9OnTyo7RIs2YMQO+\nvr6IjIyEn58fMjMzMX/+fGF7g4mJifjmm2+grq6O06dPIzExEQcPHsSkSZNw/fp1DBs2TMlrQKmS\nieMn4uDTgyjvIf3tZ/Wn6pjkMUmOqSiq/mRyRZEQgvPnz2PHjh24c+cOWrVqBVtbW9ja2qJ9+/bg\n8/lITk5GcnIyXr16hZKSEnzyySf48ssvMWlS0z0o6C9yStY6d+6MxMRE+qaqggm2+bNnz+Dn54fr\n16/j1q1b0NLSEinXqVMnpKamYu3atdi8eTNKSkrQs2dPmJiYICoqSknpG4aev+QrMzMTjj0dkeOV\nI90lmXKAE8ZB/KN4iV13UpQsKO2KooODA9LT0zFt2jQEBATgk08+qbX833//jYMHD2LWrFmwsLBA\nYmKiLGIoXEZhBj58/ADXn1zlMn8Ww4I6Sx2aaprQ1tCGvpY+jNhGaKvXFpb6lnBo7YDOJp1h1Mqo\n7plRTUZT6O2nuanaIPXZs2excOFCsUoiUHlbWl9fH2fPnsXmzZvBZrMxe/Zs/Pjjj4qMSzUBJiYm\nmD1tNg78cwBlPetuIkfziSbmTJ9DK4mUypFJRXHp0qWYO3euSIfdtXFzc4Obmxt2796N0NBQWURQ\nCj7ho4JUILc4V+bzJiDgEz7K+eUoqyjDh48f8OHjB4llrQ2s0b9dfwyyHoSxHcbCQs9C5nkoqqXI\nysrCu3fvahxfUVGBzMxM4b8NDAxQWlqqiGhUE7Nl4xac6X4G2SQbZd1reLmlvLKS2Pp5a2w+vlnh\nGSmqLjKpKK5cubJB0xkZGdV72qKiIgQEBOD+/fuIiYkBj8fD0aNHMXfuXJFyMTExCAkJwf379/H0\n6VNUVFTU+gbh2bNnERQUhP/++w+dO3fGggUL4OXlVWsWQYXs2QrFXP0p55cjpzgH6QXpSMtLQ3xW\nPJ5lPkPM2xgc/+84jv93HADQp20fzOoyC3O6zYEh21Ah2SiquRgyZAh2796Nvn37ir2kUlBQgOzs\nbEybNk047N9//6W9n1ASGRgYIO5JHPy2+uFY2DHku+SL9PWMR+rQuKePxV/Mwebjm2n3fZRKanKv\nImdmZsLf3x/x8fHCNsIEbyBWde3aNRw+fBhqampo3769xDICx48fx6effgo9PT34+/vDzMwM3t7e\nOHDggNzWoyHUWeow1TGFi7kLPDp6YK3bWoRMDMHzJc+RuTYTp6acwqfOn+J55nMs/205LAItMO/S\nPCTmNM1b+xSlDHv37oWlpSUmTJiAdu3aYciQIRgyZAisrKzw+vVraGhoIDg4GABQXFyM1NRUzJs3\nT8mpKVVlYGCAXdt3If5RPBbZL0LbU21hctQEbU+1hdXLReDnx+ObNbtoJZFSWXJpHmfz5s21VswY\nhgGHw4GVlRX69u0LU1NTqeddVlYGHo8HU1NTPHr0CL169UJISIjY1b/379/DwMAAWlpaWLp0Kfbt\n2yfxiiKfz4ednR06dOiA33//XTh8ypQpiI6Oxtu3b6GpqSkxi6o+DP7h4weceXYGBx4dwL0398Bi\nWPB09sTWoVthY2ij7HhULVR1n2ruqm/3srIyhISE4OrVq8KGsa2trfHgwQMYGhri+fPnSssqK3Rf\nU75ffgFmzAACAoC1a5WdhmoJGnTcEzlgGEbqj7a2NlmzZk2DlvPgwQPCMAwJDQ2ttdySJUsIwzAS\nx924cYMwDEPOnj0rMvyPP/4gDMOQM2fO1DhfJycn4uTkVP/gCnTr1S0yImwEwSYQLX8tsiFyAyks\nLVR2LKoGTWGfao6k3e6N/X4KCwuJr68vGTVqFDEyMiIMw5CQkBCxcvfv3yeLFy8mPXr0IOrq6jWe\nvwTOnDlDBgwYQAwNDYmbm1ud50RZrAvVeCUlhLRuTUjHjoTw+cpOQ7UEDTnu5XLrOTc3FwMGDIC3\ntzcePXoEHo8HHo+Hhw8fYu7cuRg4cCBev36Nx48fY9q0aQgMDMSePcrpsig2NhZAZTdYVQ0YMEBk\nfFM10Hogfp/zO27MuQGH1g7YGr0VXQ90RXRqzb1PUBRVeVUxNjYWV65cQVZWlkzm2ZIfnaHEaWkB\nXl5AfDzw99/KTkNRksmlorhs2TK0adMGR44cQffu3aGvrw99fX306NEDR48ehZmZGb755hu4uLgg\nJCQE7u7uCAsLk0eUOnG5XABA69atRYZraWlBV1cXGRkZNU6bk5ODxMREODk5iX0EzzCpimF2w/Bk\n4RPsHLUT3AIuBoUMwqrrq1BaTt/WpKjqZs+eDW1tbXTp0gXjx4+Hq6srnJyckJCQgLi4OBw+fLhB\n87WwsEBGRgZSUlKwffv2Gsv5+PggPz8fMTExGD58uLBHmOr4fD7Wr1+PoUOH4urVq1i6dCnOnTuH\nSZMmYePGjSgrq7tZFkq5vvii8r8//6zcHBRVE7lUFCMjIzF48OAaxw8aNAh//vmn8N+jR49GXFyc\nPKLUKScnB1paWlBXF38BXE9PD9nZ2TVOy+FwYG9vj+fPn4t9VKWPxqrUWepY2Xcl/l30L9ys3LDr\n3i4MDBmIVF6qsqNRlMqIiIjAiRMnMH36dBw9ehQMw+Do0aN4/vw5HBwcoKen1+DeczQ1NYXPZNdU\n+QMAU1NTie04VhcVFYW0tDQsXLhQZPjixYuRnZ2NS5cuNSgnpTidOwN9+wJnzgA8nrLTUJQ4uVQU\ntbS0cO/evRrH379/H2w2W/jv8vJyqU6K8sDhcFBaWorycvFulvLz88WuNDYHDq0dcNP7Jr7p/w1i\n3sag+8HuiEyJVHYsimqQuLg4+Pn5Cd9SZrFYYLFYtTaHVZvt27fDw8MDJ06cwLhx48TGs9lslXkk\npbk/OtNSzJ8PFBcDJ04oOwlFiZNLRXH69OkICwvDl19+iaSkJPD5fPD5fCQmJmL16tU4duyYSDtk\nUVFRcHJykkeUOpmbmwOA2DNIpaWlKCoqEo5vbtRZ6tg2bBsue15GBanAqPBROPLkiLJjUVS9Xb9+\nHf7+/vj111+hp6cHNptd6zN9dXn+/DnGjBlT43g1NTXk5eU1eP6y1FIenWnuZswA9PSAn34CZN8O\nCdXSBAcHSzyunZyckJOTU+/5yaTB7eq2bt2KjIwM7N69Gzt37gSLVVkf5fP5YBgGc+bMwXfffQcA\nKCkpgaurK9zc3OQRpU5dunQBANy+fVuk8hodXfmyh7Ozs1JyKcq4DuNw94u7GHtiLL649AWSc5Ph\nP8S/UX9oKUqRxowZAzc3N3Tt2hVaWlqwsbHB69evGzw/CwsLkZ5XqistLYWDg0OD5y9LjX10hsPh\n0OZxVICODjBrFnDgAPDwIdCrl7ITUU3ZkiVLanz8rWp3pdKSyxVFNTU1HD16FLGxsQgMDMTSpUux\ndOlSBAYG4tmzZwgNDYWamhqAyts4fn5+GD58uDyi1Gno0KGwsrLCTz/9JPLM0P79+2FsbIwJEyYo\nJZciOZk44f68++jdtje+u/0dlv+2HHzSsNt2FCULISEhmDJlCuzs7KCjowMrKyuMGDEC169fFyvb\noUMH9OrVS2aPrwwZMgQ///wz3rx5I/aDqaSkBLm5uRg5cqRMltVYLfHRmeZq/vzK/9KXWihVI5cr\nigKOjo5wdHSU+Xz37t0LHo+H9PR0AMClS5eQlpYGAFi+fDn09fWRmpqKY8eOAQAePnwIAPjuu+9A\nCIGNjQ1mz54NoLJpiq1bt8Lb2xtjx47F6NGjERUVhQsXLmDv3r3Q0NCQeX5VZKpjihtzbmDCqQnY\nG7MX+aX5OOJxBGosNWVHo1ogHx8fODs7Y/DgwcLG9f/++2/8+eef+PHHH7F69Wq5Lfv777/Hb7/9\nhvbt22Ps2LEAgNDQUBw+fBgpKSnQ0NDApk2b5Lb8+qj66EzVx2Sa+6MzzVGPHoCra+VzioGBlbei\nKUoVyLWi+PjxY9y5cwevXr3CwoUL4eDggA8fPuDFixfCtwcbIjAwUNhbAsMwOH/+PCIiIsAwDLy8\nvKCvr4+UlBT4+voKyzAMg40bNwIABg8eLKwoAsCcOXPQqlUrBAUFYePGjejcubPE/qObOz0tPVyb\ndQ3TzkxD2L9hYDEsHPY4DBbT5Hp6bHE8PICkJMUus317QF4v1T579gy2trYiw0pLSzF27Fj4+flh\n9uzZ9erRqT4MDAzw+PFj+Pv74+TJkwCAY8eOwczMDEZGRjAxMYG2trZcll1fLf3RmeZmwQJg4cLK\nymK1F9kpSmnkUgPg8/nw8vJCz549sXz5cuzcuVP4zBDDMBg5ciR2797d4PmnpKQIX5CpqKhARUWF\n8P/btWsHoLIyKKkMn89HZKT4G75Tp05FdHQ0eDwe/v777xZXSRRgq7NxdtpZjHEYg5B/QrD46uJa\nm/GgKHmoXkkEKl/Q8PHxQVFREWJiYuS6fENDQwQGBiI9PR35+fnIzc0Fl8uFubm58LEZVUAfnWle\nPD0BXV3g4EH6UgulOuRyRXHbtm04deoUDhw4gCFDhqBjx47Cca1atcK0adNw6dIlbNiwQR6LpxpJ\nS10L56afg8dJD/z06CcYaBkgYESAsmNRtWhuzeVxuVwEBQXh119/xZs3b8Te1EtMTFRYFl1dXZnO\njz46Q9VET6/ypZaDB4FHj4CePZWdiKLkVFE8ffo0Fi1ahAULFkjs+srR0RG//PKLPBZNyQhbnY0L\nn17A8LDh2H5nO9rotsGqfquUHYtqAbhcLnr16gUul4s+ffpgxowZMDQ0hJaWFlJSUhAaGor8/HyZ\nLW/z5s3Ct5y3bNlSa9mq5QSPttQXfXSGqs2CBZUVxQMHgEOHlJ2GouRUUUxNTUXXrl1rHK+mptbg\nxnApxdHW0MZlz8sYcHQAVv++Gua65vDs4qnsWFQzFxQUhPT0dISEhMDLy0tk3MmTJxEaGirT5W3e\nvFl427aul1SqlmtoRTElJaXOMoJHZ6Q1depUTJ06tUF5KNXSo0dl8zgnT1a+1GJgoOxEVEsnl2cU\nO3bsWGuXfHfu3FFaA9tU/bTWbo3rs6+jrV5beF/0xp3Xd5QdiWrmYmNjwTAMxo8fLzbu1q1bMl8e\nn88XNkbL5/ORk5MDNzc3zJw5EzExMeDxeODxeLh//z709fWhra2N3NxcmeegKIFFi4APH4DwcGUn\noSg5VRRnzJiBgwcP4vTp06ioqBAZ9/PPP+P06dP0tkgTYmVghcuel6HOUsfEUxPxivdK2ZGoZszS\n0hKEEOEbxwLXr1/H4cOHpZ5PQ1/CWr58OczMzBAeHo6ePXtCX18f+vr66NWrFywtLaGmpoZly5Y1\naN4UJY0ZMyqvJNKXWihVIJeK4urVqzFixAh4enqie/fuwmFWVlZYuHAhpk6digULFshj0ZScdG/T\nHScmn0DWhyyMOzEOBaUFyo5ENVM+Pj7Q1NTEihUrMGjQIKxevRpjxozBxIkTsVBCmyHZ2dnw9vYW\nfrKyskAIweeffy4cFh8fL/XyIyMjMWzYsBrH6+jo4M8//2zQulGUNHR0AC8v4L//gDv0Jg6lZHKp\nKLJYLJw/fx4XL17E4MGD4erqCoZh0L9/f0REROD06dPyWCwlZxMcJ+B/w/+HZ5nP4H3RmzabQ8lF\nly5dEBUVhYEDByI2NhYRERHQ0dHBtWvXRNoKFCgoKEBYWBiOHTuGsLAwFBcXg2EYhIeHC4e/e/dO\n6uWz2WzcqeWvc3FxMVq1atWgdaMoaQl+Ex04oNwcFCXXBrfHjx8v8Tkjqula+8laPOY+xulnp/H9\nX9/j2wHfKjsS1Qz169evxqt21V/ysLGxkenLcZ9++im2bdsGQ0NDLF++HO3btwdQ2SQPl8tFXl4e\nli5dKrPlUZQknTsDAwcCv/wC7NgBmJgoOxHVUjW5LjeKiorg5+cHd3d3cDgcsFisGt+CfPPmDWbM\nmIG2bdvCwcEBPj4++PDhg8SyZ8+excCBA2FkZIT+/fsjLCxMnqvRZDEMg8Meh9HFtAs2RG7Ab4m/\nKTsSRcnUli1bMH/+fOzfvx8dO3aEpqYmNDU14ejoiNzcXBgaGtbZjA5FycLixUBZGXD0qLKTUC2Z\nTK4oDhkyBAzDSF2eEAKGYST2kFKXzMxM+Pv7w9raGi4uLrh586bEZXO5XAwYMAAAsGzZMuTn52Pf\nvn2IjY1FZGQk1NX/b9WPHz+OuXPnYtSoUfD390dUVBS8vb3x4cMHLFq0qN4ZmzsdTR1c+PQCehzs\ngdkRs/Fk4RNYGVgpOxZFyQSLxcLBgwexZs0aXLt2Tdicja2tLfbs2QMtLS2wWE3uNzbVBE2eDJia\nVt5+XrMGoLsdpQwy2e0IISCECLvI4/P5ePv2LW7evIknT54gLy8PPB4PT548wc2bN5Gent7g59ss\nLCyQkZGBlJQUbN++vcZy+/btw7t37/D777/j66+/xrZt2xAWFoa//voLl6p0Y8Hn87F+/XoMHToU\nV69exdKlS3Hu3DlMmjQJGzduRFlZWYNyNnd2RnYInRiK7OJszDg7Ax8rPio7EkXJlIODA1asWIFd\nu3Zh165dWLFiBbS0tBo9X3ncFWGxWBI/P/zwQ6PzUsqjqQnMmwekpADXrys7DdVSyaSiePPmTURF\nReHmzZu4efMmdu3aheLiYvz000/IzMzEo0eP8PjxY7x//x4HDx5EcXFxg/t61tTUhKmpKYDam78I\nCQnBsGHD4ODgIBzm4eGBtm3b4siRI8JhUVFRSEtLE3ubcvHixcjOzhapVFKiJjhOwJpP1uDum7v4\n+s+vlR2HohqkoKDhb/A3ZFrBXZH4+Hi4uLgAQK13RWJiYrBs2TJMmzYNJ06cgLu7O8pMqQnqAAAg\nAElEQVTLy8XKjxw5EuHh4SIfDw+P+q8UpVIWLKi8krhvn7KTUC2VXF5mWb9+PaZOnYp58+aJDNfQ\n0MD8+fMRFxeHb775BlevXpXH4pGXl4e3b99KfOC8f//+Im80xsbGCodXJbhtHRsbS3s8qMW2odtw\n5/Ud7Li7A8Nsh2GMwxhlR6KoerGwsIC6ujqMjIyknubBgwfCtmLrW1kU3BUxNTXFo0eP0KtXL4nl\nBHdF/v33X+EP3r59+2LixIm4dOkSJk+eLFK+Q4cOmDlzZr2yUKrP2hoYNw64fBl49QqwsVF2Iqql\nkcsTD/fu3RO+KSiJra0t7t69K49FA6j8JQ4ArVu3FhtnbGws0lRGTWW1tLSgq6uLjIwMueVsDjTU\nNHBi8gkYsg0x98JccAu4yo5EUfVy/PhxlJWVISUlBb1798b69etx+PBhREZGIiUlBUlJSfjjjz9w\n8OBBvHv3DsnJyejTpw8SEhJw4sSJei9P1ndFBAghKCkpkXi1kWrafHwqG94+eFDZSaiWSC4VRRsb\nG5w6dUriCevjx4/45ZdfYCPHn0U5OTkAAH19fbFx+vr6KCsrQ1FRkbCslpaWyMstAnp6esjOzq51\nOYmJicLuv6p+goODZbQ2qs/a0BqHxh9C1ocszDk/B3xC+/Gmmg4PDw/Y2NjA1tYW7du3x86dOzF/\n/nwMGzYMdnZ2sLe3x8iRI7Fo0SLh+SAmJga3bt2SW/Nfgrsi1e90AJV3P/777z+x4SEhIdDR0YGe\nnh569uyJ6/ShtmZjxAjA3h44dAgoLVV2Gqqlkcut5zVr1mDWrFno06cPFi1aJPxF/PLlSxw4cAD/\n/PMPjh8/Lo9FAwA4HA4AID8/X2xcfn4+NDU1oaOjIyxbWlqK8vJyscpifn6+xKuSVZfD4XDw7Nkz\nGaZvmqY4TcFC14U4+OggAu8EYq3bWmVHoqh6adWqFU6ePAk+n4+0tDTEx8fj5cuXACr7r+/QoQPG\njBkDhmHQs2dPuWapz10RAPjkk08wY8YM2Nra4u3btwgODsbo0aMRHh5e4+3onJwc5OTkwMnJSWzc\nkiVLsGTJEhmsCSULLFZlUzlfflnZruKcOcpORKmy4ODgGi9W5ebmCutI0pJLRdHT0xOEEGzcuFHs\nJREbGxscO3YMnp6e8lg0AMDc3BwAkJWVJTYuKytLOL562arDS0tLUVRUJDKMqt2OUTtwK/UW1keu\nx3C74ejepruyI1FUvbFYLNjY2MDGxgajRo0SGVefZsAaQ9q7IoIfvH/99ZdImc8//xyurq5YvXo1\npk6dCk1NTbH50B+6TYu3N7BhAxAcTCuKVO1q+6HXuXPnes9Pbq0yzZw5E/Hx8Xjy5AkiIiIQERGB\nJ0+eICEhAbNmzZLXYgEAhoaGaNu2LW7fvi027vbt23B2dhb+u0uXLsLhVUVHRwOASFmqdtoa2jg+\nufJK8ayIWfjwUXLj5hRF1a6uuyJaWlrCSqIkGhoaWLp0Kd6/f4+EhAS55aQUh8MBZs4E7t8HHj5U\ndhqqJZFr853q6uro1q0bJk6ciIkTJ6Jbt25QU1OT5yKFvL29ERUVJbx1BAAXL15Eeno6Pv/8c+Gw\noUOHwsrKCj/99JPIg+X79++HsbExJkyYoJC8zUWPNj3gP8QfcVlxWHdjnbLjUFSTVNddETMzszrn\nYWlpCaCyLUaqeRBcJGpBj8BTKkAmFcWG9LDSmGn37t2LrVu3Ct/8u3TpErZu3YqtW7cKf4H7+PjA\n1NQUI0eOxPfff49vv/0Wc+fOhZubm0jlj2EYbN26FZGRkRg7diz27NmDyZMn48KFC9i0aRM0NDQa\nvG4t1ZpP1mBAuwHYG7MXfyT9oew4FNXk1OeuSE2Sk5MBQK4vDlKK1b078MknwMmTQC3vWVKUTMmk\nojh27Fg4Ojpix44dyM3NrbN8VlYWtm/fDgcHB4wbN67eywsMDISvry8OHDgAhmFw/vx5+Pr6ws/P\nDzweDwDQpk0b/PXXX+jduzf27NmDM2fOwNPTE7///rvYVc05c+bg9OnTKCwsxMaNG/Hu3TscPXoU\nPj4+9c5GAWosNYRODIWupi4+u/gZcovr3icoihIl7V0RSVcdCwoKsGvXLlhZWcHe3l4heSnFWLq0\n8s3nQ4eUnYRqKRjS0L70qnj//j2Cg4Oxb98+FBYWokePHrCzs4OtrS1sbW3B5/ORnJyM5ORkJCUl\n4enTp9DX18fixYuxdOlSmJiYyGJdFE7wUCh9GFyyw48PY97leZjZZabw2UWqdnSfUg5pt7usvp+9\ne/eCx+MhPT0dBw4cwOTJk4W9tCxfvhz6+vrgcrno168fAGDhwoUoKCjAvn370KVLF9y8eVP4g3fT\npk24cOECPDw8YGVlBS6XiyNHjuDt27e4cOECxo4dK9d1oRSrrAxo1w5gs4GkJEBBT3NRzURDjnuZ\nVBQFiouLERYWhoiICMTHx+P169fC5/5YLBasrKzQsWNHTJw4Ed7e3mCz2bJatFLQE23tCCHwOOWB\nKy+v4Oy0s5jiNEXZkVQe3afq77fffsPVq1dx+/ZtpKamAqhs1H/s2LFYs2YNDAwM6pyHoiuKtra2\nwqyCN6kJIWAYBikpKWjXrh2AyucLV69ejb/++gs6OjoYPnw4duzYgVatWgnndePGDWzfvh3//fcf\ncnJyYG5uDhcXF2zatElY+ZTnulCK5+cHbNkCnD8PTJyo7DRUU6L0imJ1JSUlwjfuHBwcmnzFsDp6\noq0bt4AL5/3OYDEsPPN5BlMdU2VHUml0n6qfkpISaGtrQ0NDA/369YOTkxPYbDYiIyPx9OlTtG3b\nFg8fPqzz5Q9dXV0YGxvj1atXwvkGBQXB09MTVlZWwnKdO3dGQUEB1NXVhc8ANlV0X2u60tMru/Yb\nOBD4809lp6GakoYc93J965nNZqNLly7o0qVLs6skUtJpo9cG+8bsQ9aHLCy6sqjWLssoqr7U1dXh\n6+uL1NRU3Lx5E/v27cOOHTvw5MkTLFy4EG/fvsXy5cvrnE9RUZFIT1KFhYX4+uuvJTYtU1FRIaxQ\nUpQyWFgAU6cCkZHA8+fKTkM1d3KtKFIUAMxwnoHpnafj/IvzOBl7UtlxqCYgJCQEU6ZMgZ2dHXR0\ndGBlZYURI0aIdUunrq6OTZs2iTWMzzAMfH19AYg3Rk1RzcGyZZX/3btXuTmo5o9WFCmFCB4TDFMd\nUyy9thTcAq6y41AqzsfHB69fv8bgwYOxbNkyODo64u+//8bo0aOxY8cOqebx4UNlg++SeiWhqKau\nXz+gRw8gLAz4/419UJRcyKULP4qqzljbGAfGHsDkXyZj4ZWFuPjpRYV1h9YSeJz0QFJukkKX2d6o\nPS55XpLLvJ89ewZbW1uRYaWlpRg7diz8/Pwwe/ZsmJrW/rxreHg4gMpG9SmquWEYYPnyyq79jh4F\nVq1SdiKquaJXFCmFmdRpEmZ2mYnLLy8j/Gm4suNQKqx6JREAtLS04OPjg6KiIsTExNQ6/e3bt7F1\n61YYGxvj+++/r/fy6Y8YqimYMQMwMam8/VxRoew0VHNFryhSCrVn9B5EpkRi+W/LMcxuGCz0LJQd\nqVmQ15U9ZeFyuQgKCsKvv/6KN2/eICcnR2R8YmJijdPGx8dj2rRpYLFYCAkJqfPKo0B2djY8PDwA\nAGVlZQCADRs2wNjYWFgmLS0N5eXltCJJqQQ2G1i4ENi6Fbh2DRg/XtmJqOZIKVcUP3z4gLS0NLkv\nJz4+HhMmTICFhQUsLS0xffr0Gt9WfPPmDWbMmIG2bdvCwcEBPj4+wmecKNnhtOLg4LiD4JXwsODy\nAvoWNCWGy+WiV69eCAgIgLa2NmbMmIFvvvkGmzZtwty5cwFA2FVndfHx8Rg6dCh4PB5Onz6NMWPG\nSLVMDQ0NVFRU4OnTp3j69ClevHiBdu3aIT09XTjs6dOnKC0tRUVFhbCdQ4pStkWLAHV1IChI2Umo\n5kpmFcVWrVrh9OnTwn8XFBRgzJgxePr0qVjZiIgIibeWZCkhIQE9evRAfHw81q5di5UrV+Lhw4dw\nc3NDUpLos1xcLhcDBgxATEwMli1bhmnTpuHEiRNwd3cXaTKDkg2Pjh6Y03UOriZcRei/ocqOQ6mY\noKAgpKen4+jRo7hz5w6Cg4Px3XffwdfXFyNHjqxxuri4OAwePBg5OTk4c+YMJtajJWIHBwc4ODjg\n1atXtX4E5VJSUhq0bkVFRfDz84O7uzs4HA5YLBZCQyUfA/X58Xr27FkMHDgQRkZG6N+/P8LCwhqU\nj2p62ratbCrnxv9j787jckr7B45/7korRZY2UoOQLYYhytgZ+75khhg72Q1j382PwYylmWcsMyKG\n4SGPfRCVHtuQYZAsg0i0KNrV9fvjnu5HKpJ7abner9f9onOuc863OFffc851vtdxWSpH0gy1JYqZ\nV9qvf33kyJEc5yEFNH4nafr06aSkpODv78+kSZOYOnUqx44dIyIiguXLl2dp6+3tTWRkJMeOHWPG\njBksXboUHx8fgoKC2L+/aD3SKyi+7/A9NiVtmHhkIuHx4boORypArl27hkKhoEsOz9FOnz6d4zZX\nr16lRYsWxMXF8e9//zvHbdUlOTmZ7du352vbZ8+esWjRIkJDQ1WzpuT0GPt9Ll59fX3p378/pUqV\nYtGiRVhZWeHp6cmPP/6YrxilwiezVOj33+s2DqloKrIvs5w7d47GjRtjY2OjWla1alXq1KnD9u3b\ns1yZ//LLL7Ru3Zpq1aqplnXt2hU7Ozs2b96s1biLizImZdjQZQNxKXEM2z9MPoKWVCpWrIgQgh07\nstbcPHr0KJs2bcrWPiQkhJYtW5KQkICfnx+fffaZRuN78eIFX3zxRb62tbW15cmTJ9y7d48VK1bk\n2i6vF68ZGRnMmjWLVq1acfDgQcaNG8eePXvo0aMHc+bMUY21lIq2Jk2gUSPYuhXeGM4rSR+syCaK\nCQkJOQ5ir1ChAgkJCaqxinFxcTx69Ag3N7dsbd3c3Lh69aqmQy22Ojl1YojLEI7eOcqmy9kTAKl4\nGjNmDIaGhkyYMIFPP/2UyZMn07FjR7p3787IkSOztI2NjaV169bExMTg6urKmTNnmD9/frZPXFyc\nWmPM74WNoaGhql962z7yevHq7+/PgwcPsv1cRo8eTXR0tHwiUkwoFDBxIiQlwYYNuo5GKmqK7FvP\nNWrU4NixYyQlJWFiYgIof6mcPn0ahULB48ePcXZ2JiJCWfy5bNmy2fZRrlw5IiMjtRp3cbO6/Wp+\nv/s7k45Oos1HbXAo7aDrkCQdq1OnDv7+/syePZuQkBDu379Po0aNOHToEHp6enh7e6vaxsXFERsb\ni0Kh4MSJE5zIYeJbhULB0KFDsbCw0Oa3kW+ZF6/jxo3Lts7NzY3g4GDV19euXVMtf527u7tqfe/e\nvTUYrVRQ9O4NU6cqS+VMngwlSug6Iqmo0Fii+LbyEdooLTFx4kQ8PDwYPXo006dPJz09nUWLFqGn\np8erV69U5TYy/zQ3N8+2D3Nzc1JTU0lISMDMzCzb+piYGGJiYnB2ds62buzYsYwdO1bN31XRY2Fs\nwaaum2i/rT1D/IZwYtAJ9BRF9ka3lEeurq45Jn2gfNyaycHBIcvX6rJ+/XrWr1+fbfmdO3c0PtPL\n+1y85tbWyMiIkiVL8uTJk1yPI/uvosXQEMaMgTlzYO9e6NtX1xFJupJb/wXKG2aWlpbvtT+1Jopf\nfvlltkcgnTt3Rl9fX/W1QqEgLS1NnYfNUf/+/Xn48CFz585VvQHYokULpk2bxpIlS7C1Vdbvy/yB\n5VRuIz4+HiMjoxyTxMxtLS0t+euvvzT0XRQP7aq0Y3TD0fxw8QfWnlvLhCYTdB2SVMzllijVqlWL\nZ8+ekZCQoLFjv8/Fa0xMDEZGRhgYZO/KS5UqRXR0dK7Hkf1X0ZNZU/H772WiWJy97UKvVq1a770/\ntSWKgwYNeq/22rirOG3aNLy8vLh58yYVKlTA1taWKVOmAP+b+cHa2hogx7ezo6KisLKy0nicEixv\nu5yjd44y48QM2ldtT41yNXQdklSMZCZU75pHOjo6mqSkJI32X++6eDU0NFRdvFpaWpKSksKrV6+y\nJYvx8fE53pWUiq7y5WHgQNi8Gc6fh08+0XVEUlGgtkTxl19+Udeu1MrY2FhVhkIIwaFDh6hevTp2\ndnYAlC5dGjs7OwIDA5kxY0aWbQMDA1XbSppV0rAkW7pvofnPzfli7xcEDw2mhL4cZCNpR+bj3KlT\np761XeYLKJpMFN918Zq5/s22ry9PSUkhISEhyzKpeJgwQZkofvcd5LOKkyRloZPBYIcOHWLEiBFa\nP+6mTZsIDQ1l9uzZWZZ7enri7+/PrVu3VMv8/Px4/PgxQ4cO1XaYxZabvRtfNfuKi48vsihgka7D\nkYqRqlWrUrVqVe7evfvWz+vtNOX1i9c3BQYGUrt2bdXXderUUS1/XUBAAECWtlLxULcutGoFv/0G\n4bJEraQGOkkUL126lGM9NHUKCAigTZs2rFixgvXr1zNw4EBGjBjBwIED8fDwyNJ2zJgxVKhQgXbt\n2rFs2TJmzpzJ4MGDadasGd26ddNonFJWC1suxMXahSWBSzgbflbX4UjFhKGhIYaGhjg4OLz183o7\nTcrrxWurVq2oVKkSP/30U5ZyOz/88APlypWT/VcxNWkSvHoFrxUIkKR801l5HE0XWK5YsSIGBgas\nWLGClJQUPv74Y9auXZvjAE8bGxuCgoKYPHkya9euxczMjAEDBrBq1aosL+JImmeob8i2Htv4+KeP\nGfjvgYSMDKGUUSldh6VVt2/fzteAYyn/bt++TdWqVbVyrHXr1vH8+XMeP34MwP79+3nw4AEA48eP\nx9zcnDFjxrB161batWvHyJEjefHiBd7e3tkuXhUKBYsXL8bT05NOnTrx2Wef4e/vz759+1i3bh0l\nZI2UYqljR6hWDf71L5g9G0xNdR2RVJgphA6mxFi8eDFz587VSFkLbcr8ZS7fGlS/tefWMv7IeAbV\nG8SW7sVnPuiFCxdmmTNd0h4bGxsGDx6smnUlLi4ONze3LOMRb926haGhYY4vmuSVo6Mj9+/fB/43\n1lEIgUKh4N69e9jb2wPKuZ4nT55MUFAQZmZmtGnThlWrVqnqwr5u9+7drFmzhj///JNatWoxYsQI\nBg8e/NY4ZP9VtK1fD+PGwY8/Kt+GliTI33kvE8UPIDtazRFC0GVHFw6GHcS3py8edTzevZEk5dOR\nI0fo2LEjhw8fpn379oDyBZEKFSpQt25dSpcuDcCFCxdITEzk6NGjtGvXTpchfzDZfxVtL19CpUpg\nbQ1//QV6sjytRP7Oe/lfRyqQFAoFP3f7GeuS1ow6MIo7MXd0HZJUhG3cuJFmzZqpksTXrVy5klOn\nTnHq1CkcHBwwNTVlg5wnTSrgSpaEESPg5k04ckTX0UiFmdrGKHbp0iXPJSPCwsK0UkdRKtzKm5XH\np7sP7be1p+/uvgQPDcbIwEjXYUlF0PXr1+nYsWOO697sq0qWLMnNmze1EZYkfZBx42DlSli9Wjlu\nUZLyQ22J4tWrV1EoFHl+SSVzHI4kvU3bKm2Z1XwWiwMWM/X3qaz9bK2uQ5KKoAcPHlC9evUsy0qV\nKsWqVatwcnLKslxfX5979+5pMzxJypdKlZQztOzYAX/+qSydI0nvS22J4t9//62uXUlSFvM+nUfg\n/UDWnV9Hc/vm9KnVR9chSUWMlZWV6s3jTEZGRkycODFb27S0NDljk1RoTJ6sTBRXr4aff9Z1NFJh\nJMcoSgWegZ4BO3rtoIJZBYb4DeGvp3LwvaRetWvX5syZM3lqm5iYKMsXSYVGw4bg7g6+vhARoeto\npMJI44liTExMtk9iYqKmDysVMTalbPitz2+kpKfQY2cPnic/13VIUhHSvXt3Tp06xebNm9/a7vnz\n5yQmJtK9e3ctRSZJH27SJEhLU5bMkaT3pbZEMTk5mbZt27Jo0f+mXouKiqJcuXKUL1+ecuXKqT7O\nzs68evVKXYeWionmlZuzst1KwmLC+GLvF6RnpOs6JKmIGDJkCO3atWP48OH069ePU6dO8fDhQ9LS\n0nj48CH+/v7069ePx48fY2ZmJqf2lAqVrl2hShVlTUV5n0Z6X2pLFLdt20ZAQAB9+/bNtu7zzz9n\n7ty5zJ07lzlz5vDkyRN+loMlpHzw+sSLL+p+wYFbB5hxYoauw5GKEF9fX4YMGcLu3btp1aoVlStX\nxtjYmMqVK9O6dWt2796tmodZW0JDQ+nWrRu2trZUrFiRvn375jge3NPTEz09vWyfmjVrai1WqeDS\n14eJEyE6Gnx8dB2NVNioreB227ZtMTMzY9++faplmQVrjx8/TqtWrVTLP//8c6Kjozl8+LA6Dp2r\nP/74g4ULF3L+/Hni4+Oxt7fHw8ODadOmYWxsrGoXHh7OlClTCAoKwtTUlLZt2/Ltt99i+o55j2TB\nWt1IfpVMa5/WBD8MZkOXDQxrMEzXIUlFSEhICL///ju3bt0iPDycihUrUq1aNdq1a8fAgQMB7Zzz\nYWFhuLi4UKlSJUaOHEl6ejre3t6kpKQQEBBAlSpVVG09PT3ZuXMnmzZtyrIPCwsLOnXqlOP+Zf9V\nvCQkKN+CLl8ebtyQBbiLq/yc92p76/nOnTvvnDIqU4MGDViv4cESoaGhtGjRAgsLC/r27YujoyPH\njx9n3rx53Lx5E19fXwAiIiJwd3cHwMvLi/j4eLy9vbl27RonT57EwEBn02FLuTA2MGZfv3003tiY\n0QdHY29hT7sqhXuWDKngcHFxwcXFRddhMH36dFJSUvD398fGxgZQjqV0cnJi+fLl/Otf/8rSvkSJ\nEnh4yBmMpJyZmSmn8vvmGzhwQPk4WpLyQm3XFE+fPlV1ZpksLS25dOkSjRs3zrLczMyMJ0+eqOvQ\nOdq9ezcJCQls3LiR77//nokTJ3LgwAE+/fRTdu3aRXJyMgDe3t5ERkZy7NgxZsyYwdKlS/Hx8SEo\nKIj9+/drNEYp/8qbleeAxwFKGZai586enAs/p+uQJEmtzp07R+PGjbP0q1WrVqVOnTps374920uB\nQggyMjLky4JSrry8oEQJZRFuScortd0u++ijjwgNDc2yTE9PL8cr89DQ0CyPTTQhs3N9s7C3vb09\nZcuWxdDQEIBffvmF1q1bU61aNVWbrl27Ymdnx+bNm+nZs6dG45Tyz7m8Mwc9DtLapzUdt3ckcEgg\nzuWddR2WVAjldWapzFqLXbt21fiFZEJCAhUqVMi2vEKFCly9epW///4bZ+f//X9PTEzE3NycxMRE\n1TCb+fPnq/o6SbK1hQEDlOMUL15Uls6RpHdR2xhFDw8PQkJCCAkJeWvHlJqaSr169XBxcWHHjh3q\nOHSO4uLiaNCgAQ4ODkydOhUHBweOHz/OV199xdy5c/n666+Ji4ujTJkyLFu2jOnTp2fZfsCAAQQH\nB3P//v1cjyHH+BQMh8MO0/XXrpQzLYf/YH9qlKuh65CkQsbBweGdM0spFArCw8N59eoVenp6pKdr\n9q37Jk2acPXqVaKiojAxMQEgNjYWKysr0tPTOXLkCG3btgVg5syZgHJYT0ZGBocPH2bLli20bduW\no0eP5rh/GxsbYmJicrxoHzt2LGPHjtXQdybp0pUr4OIC/fsrC3FLRc/69etzHd4XGxuLpaXl++Ut\nQk0CAwOFvr6+GDFihEhNTc2xTUpKihg1apTQ09MTAQEB6jp0rpKTk0XTpk2FQqFQfXbt2qVaf+PG\nDaFQKMSGDRuybTtu3DhhZGT01v1bW1sLQ0NDUbNmzWyfdevWqf37kXK3+6/dwmChgbBaYSVuPLuh\n63CkQm7dunVZzufq1asLKysrAQhAtGjRQuMx7NixQygUCjF48GBx/fp1cfXqVdG3b19hZGQkFAqF\n2Llz51u3X7p0qVAoFGLfvn05rnd2dhbOzs6aCF0q4Nq2FUJfX4i//9Z1JJK25ee8V1uiKIQQU6ZM\nEQqFQtjb24t58+YJHx8fcezYMeHj4yPmzp0r7O3thUKhEBMnTlTnYXP07Nkz0a5dO+Hk5CQ2btwo\n9u7dK7788kthYWEhfv31VyGEEGfOnMm1w505c6ZQKBTi5cuXuR5DdrQFy57re4TBQgNRfnl5ceHR\nBV2HIxUBycnJYvXq1cLGxkYoFAphamoqKleurLXjL1++XBgbG6sudFu2bClmz54tFAqFCAwMfOu2\nSUlJQl9fX0ydOjXH9bL/Kr6OHBEChJg0SdeRSNqm80RRCCG2bt0qbG1ts9zFy/zY2tqKLVu2qPuQ\nOVq5cqUwNTUVjx49yrJ8yJAhwtbWVgjx7juKxsbGbz2G7GgLHr+bfsJ4sbEwW2ImDt06pOtwpEIq\nKSkpS4LYsmVLcfr0aZ2c80lJSeLy5cuqvmzy5MlCoVCI8PDwd25bvnx50b9//xzXyf6r+MrIEKJ2\nbSFKlhQiNlbX0UjalJ/zXu2VlD7//HNu377NuXPn2Lp1K8uWLWPr1q2cPXuWO3fuMGjQIHUfMkcH\nDhygQYMG2NraZlnepUsXIiIiCAkJwdraGlDWe3xTVFQUVlZWWolVUp+u1btyYtAJjAyM6LKjC9+f\n/f6t484k6XXJycmsXr0aR0dHJk+eTM2aNTl9+jQnT56kefPmOonJ2NgYFxcXbG1tEUJw6NAhqlev\n/s7C3y9evCA6OhoHBwftBCoVGgoFTJ0KL1/CTz/pOhqpoNNIkUATExMaNWpEo0aNNLH7PHn58iX6\n+vrZlqelpQHKNwozZ1kIDAxkxoyss3wEBgYWiFpq0vtrWqkpwUOD6fprVyYencjZR2fZ0GUDJQ1L\n6jo0qYBKSkrihx9+YMWKFURGRtKqVSt27dqlqrFaUGzatInQ0FC2bt2qWpaSkkJqaiqlSpXK0nbR\nokUIIWjZsqW2w5QKgQEDYOZM+P575awt8uV4KTdFtpp0vXr12Lp1K2FhYVlK3wApqI4AACAASURB\nVOzYsYMSJUqoprby9PRk5cqV3Lp1CycnJwD8/Px4/Pgxa9as0Uns0oerXq46F4ZfwHOfJ79e+5UL\njy6wudtmmlfWzV0hqWBzdHTk6dOnuLi48MMPP+Du7o5CoSAmJiZLu8w3nWNiYrC0tNRoTAEBASxc\nuJD27dtjampKcHAwO3bsYODAgVkKa0dERFC/fn08PDyoXr06AEePHuXw4cP07duXdu1kMXopO0ND\nGD8eZsyAX38FLT3skwohtZXHKVWq1DvLSwCqNgqFgvj4eHUcOkf37t2jdu3alCpVinHjxmFpacmB\nAwc4cuQI06ZN4//+7/8AZSfr6uoKwMiRI3nx4gXe3t7UqVOHU6dO5XhXMpMsj1PwCSH4/tz3fH3i\na5JfJTO20VgWtFhAWdOyug5NKkD08jifWWb/po3yOHfv3mXMmDFcunSJlJQUPv74Y3r16pWtbE1c\nXBxeXl6cPXuWx48fY2hoSI0aNRg8eDAjR47Mdf+y/5KeP1dO6+fgAH/+qXwkLRVt+Tnv1ZYoenp6\nvvtgCgUhISFcuXIFgIyMDHUcOlc3btxg5syZXLhwgfj4eKpVq8awYcMYNWpUluK64eHhTJ48maCg\nIMzMzGjTpg2rVq1S1S7LjexoC4+w6DCG7h9K0IMgLIwsmOU+izGNxmBmaKbr0KQCYP78+Xlq5+3t\nDcCYMWPyvE1BJfsvCWDSJPjuOzh8GDp00HU0kqbpNFF8l5CQEBYsWICfnx8WFhZMnDiRefPmaePQ\nGiM72sIlQ2Sw89pOZp6cyd/P/6a0cWlGfDyCEQ1GUMVSszMFSUVDUTrni9L3IuXf/ftQpQp8+imc\nOKHraCRNy895r/a3nt8UEhJC9+7dadCgAadPn2b+/Pn8/fffhT5JlAofPYUeA+oM4ObYm3h39KaC\nWQWWn1lO1bVV+finj1kcsJjA+4Ekv0rWdahSAZaUlMTUqVN1HYYkqUXlytCvH5w8CZcu6ToaqSDS\n2B3Fy5cvs2DBAvbv30/p0qWZOHEiEydOxNzcXBOH0wl5RV64ZYgMjt05xo5rO/C76UdcShwAJfRK\nUK1sNZzKOmFvYU950/KUNSmLSQkTjA2M0Vfoo6fQUw1fUKDI8ncgy9CGnJa9uS6TIOvpmNPpmdnm\n9XXvs9272r2vvMyRDNm/1/zsIz9qla9FtbLV3t3wLe7du8f27dtZuHAhqampKBQKjQ+d0TTZf0mZ\nQkKgfn05rV9xkJ/zXu1vPV++fJn58+fzn//8hzJlyrBgwQImTJhQpBJEqWjQU+jRoWoHOlTtQMqr\nFM49OkfQgyD+G/5fbkbd5D+h/yFdaPaFBUnzlrdZzrRm0957u6ioKHbt2oWvry///e9/MTQ0pESJ\nElhaWnLu3DkNRCpJuuHiAm3awG+/wbJlypdbJCmT2hLFS5cuMX/+fA4cOECZMmVYuHAh48ePlwmi\nVCgYGRjRvHLzLOVzUtNTeZrwlGcJz4hNjiUpLYnkV8mki3TSM/6XQAoEQoi33un7kDt3Od2dfNu6\nvNy51MQdvLx8jznd1Xyf7fOjvk39PLdNTEzEz88PX19fjh07BqCqB7t161bVCyz29vZqj1OSdGna\nNDh+HFavVtZWlKRMaksUGzZsCICLiwteXl6Ym5tz/Pjxt27Ts2dPdR1ektTOUN+QiuYVqWheUdeh\nSBp25MgRfH192bdvHwkJCTRq1IiVK1fSv39/4uLicHJyemupLEkq7Nq2hXr1YONGmDsXysoKYtI/\n1P7oOSQkhC+//PKd7RQKhcbrkEmSJOVFx44dMTMzY+LEiQwaNChLkf64uDgdRiZJ2qFQwFdfwcCB\n8MMPMHu2riOSCgq1JYonT55U164kSZK0ytramidPnuDr6wso56zPnOVEV0JDQ/nqq6+4cOECenp6\nNG3alOXLl+c4d3N4eDhTpkwhKCgIU1NT2rZty7fffoupqan2A5cKrT59lNP6rVkDU6bAO0oJS8WE\n2hLFFi1aqGtXkiRJWvXw4UNOnjzJtm3b+P7771myZAkff/wxn3/+uWpYjTaFhYXRoEEDKlWqxLRp\n00hPT8fb25tmzZoREBBAlSr/q/sZERGhmpPay8uL+Ph4vL29uXbtGidPnsTAoMjO1CqpWYkSMHky\nTJgAv/wCo0frOiKpINB4HcU3RUREsHr1ao13vp6enujp6eX6iYiIULUNDw+nX79+2NnZUa1aNcaM\nGUNiYqJG45MkqeDQ19enbdu2bNmyhcjISHbs2IG1tTVfffWVKgk7ffo0aWlpWoln+vTppKSk4O/v\nz6RJk5g6dSrHjh0jIiKC5cuXZ2nr7e1NZGQkx44dY8aMGSxduhQfHx+CgoLYv3+/VuKVio4vvwRL\nS/j2W5CjwyTQ0swsL168YM+ePfj6+uLv709GRgaOjo7cuXNHY8c8e/Ysd+/ezbIsIyODUaNG4ejo\nyNWrVwFl4tq0aVNAOddz5tV43bp133k1LuuQSVLRFh0dzc6dO1UlcoQQGBsbM336dI1O4WdnZ4eD\ngwNnzpzJsrxevXrcvXuXyMhI1WPlSpUq4eLiwn/+858sbStVqkS9evU4cOBAjseQ/ZeUm3nzYOFC\n2LVL+ThaKjrydd4LDUlNTRX79u0Tffr0ESYmJkKhUIh69eqJpUuXimvXrmnqsG8VGBgoFAqFWLZs\nmWrZ7NmzhYmJibh165ZqmZ+fn1AoFGLPnj1v3Z+zs7NwdnbWWLySJBUcd+/eFeXLlxeGhoZCoVBo\n9FgWFhaie/fu2Za3adNGKBQK8ddffwkhhHj+/LlQKBTim2++yda2f//+wt7ePtdjyP5Lys3Tp0IY\nGwvx8cdCZGToOhpJnfJz3qv90XNAQAAjR47E2tqaHj16EBoayqhRowCYM2cOX3/9tSqj1bbt27ej\nUCjw8PBQLfvll19o3bp1lrccu3btip2dHZs3b9ZFmJIkFUCOjo6UL1+eqlWrcvHiRY0eq0aNGhw7\ndoykpCTVstjYWE6fPo1CoeDx48cAqiE0ZXOoZVKuXDkiIyM1GqdUNJUvD0OHwh9/gL+/rqORdE1t\nieKMGTOoXLkyLVq04NChQwwbNowrV65w5coVxowZA2h2mq53SUtLY9euXTRr1kxVLDcuLo5Hjx7h\n5uaWrb2bm5vq8bQkSdLrGjRooNH9T5w4kaSkJEaPHs2NGze4du0ao0aNQk9PDyEEMTExAKo/c5rY\nwNzcnNTUVBISEnI8RkxMDLdv38bZ2TnbZ/369Zr75qRCYcoU0NOD//s/XUciva/169fneF47Ozur\n+oz3obbX4ZYvX46pqSkbNmxg6NChOk0Kc3L06FFiYmIYOHCgatmHXo3HxMQQExODs7NztnVjx45l\n7NixHxi1JEm6sH79+hyTpTt37mBpaanx4/fv35+HDx8yd+5cfHx8AGVliWnTprFkyRJsbW0BVLHE\nx8dn20d8fDxGRkaYmZnleAxLS0ssLS3lGEUpRx99BH37wq+/wuXLyrmgpcLhbflHfp7oqu2OYu/e\nvUlPT2f48OE0b96cf/3rX8TGxqpr9x9s+/btGBoa0rdvX9WyD7kaB2VHW7VqVa5fv57tI5NESSq8\nxo4dm+N5XbVqVa0kigDTpk0jNjaWS5cuER4ezsmTJ1XVGBwdHQFl/UdQzkv9pqioKKysrLQSq1Q0\nffWV8s83XrSXihm1JYq7du0iMjKSTZs2YWRkxNixY1XjFN98G0/bXr58iZ+fH+3bt6dMmTKq5R9y\nNS5JkqRpxsbGuLi4YGtrixCCQ4cOUb16dezs7AAoXbo0dnZ2BAYGZts2MDCQ2rVraztkqQipX185\ntd+uXfBGERGpGFHryyzm5uYMGTKE48eP8+DBA5YuXcr9+/eZMmUKoKz35evry/Pnz9V52Hfat28f\nSUlJWR47g7walySp8Ni0aROhoaHMfmNuNU9PT/z9/bl165ZqmZ+fH48fP2bo0KHaDlMqYqZPh4wM\nWLlS15FIuqKVOoo3btxg27ZtbN++nfv376Ovr0+zZs04deqUpg8NwGeffUZwcDCRkZEYGxtnWVep\nUiXq1q3LwYMHsyyvWLEiLi4uudYgA1mHTJKKitmzZ+Pm5kbTpk1zHIqSSVvnfEBAAAsXLqR9+/aY\nmpoSHBzMjh07GDhwID4+PlnGgEdERODq6gooa8G+ePECb29v6tSpw6lTp9DX19fp9yIVbkLAJ5/A\ntWtw/z5UqKDriKQPkZ/zXiszs9SsWZMlS5Zw9+5dAgICGDZsmNY6p2fPnnH8+HF69OiRLUkEeTUu\nSRIsXbqUjh07YmlpiYuLC+PGjePXX38lPDxcJ/FUrFgRAwMDVqxYwcyZM4mIiGDt2rVs3bo124uC\nNjY2BAUF8cknn7B27Vp+++03BgwYwLFjx3JNEiUprxQK5V3F5GTlHNBS8aOVO4o5SUtLo0SJEho/\nzrp16xg/fjxHjx6lbdu22dbn92oc5BW5JBUVd+/e5cyZMwQFBXHmzBlu3LhBZtdob2+Pm5sbbm5u\nrFixAmNj4yJxzsv+S8qr9HSoWROePYMHD6BUKV1HJOVXfs57nSWK2tK0aVPu3bvH48ePcy3ZEx4e\nzuTJkwkKCsLMzIw2bdqwatUqTExM3rpv2dFKUtEUGxtLcHAwZ86c4cyZM1y4cIHk5GSEEOjr69Oh\nQ4e3DkspDGT/Jb2PjRth+HDlHND/vHYgFUIyUdQy2dFKUvGQlpbGoUOHGDBgAElJSejp6ZGenq7r\nsD6I7L+k95GSAo6OykfRd++CkZGuI5Lyo8COUZQkSSpsbt68yaZNmxgyZAjOzs706NGDpKQkjI2N\n8fLy0nV4kqRVRkYweTI8fgzbtuk6Gkmb5B3FDyCvyCWpaEhJSeHixYuqMYrBwcHExMRgaWmJq6sr\nTZs2xdXVldGjR6Onp1ckznnZf0nvKz4eKldWzgV94wbId6UKn/yc92qbwm/BggX06tVLFniVJKnQ\nsbCw4NWrVzg5OdG0aVOWL1+Oq6srNWrUyDK2WU9PPoSRii9zcxg7FpYsgb17oXdvXUckaYPaer0F\nCxbw559/qmt3kiRJWpOamopCocDExARTU1PMzMwoVapUgZuzXpJ0bcIEMDGBZcuUNRalok9tdxQl\nqTCLjYWwMHj4EMLDlWUgoqPhxQtITISkJHj1SvnJyMjaQWb+PadOU9MdaV7zmLy0Kwo5UU7fw6hR\nMGDA27eLiorK8pbzxo0bSU5OpmLFijRr1oymTZvSrFkzhBAyeZSKtfLl4csvYd06+P13aNdO1xFJ\nmiYTRanYiYuDwEA4exbOn4erV+HJk9zb6+kpr6BLlFCOydHTUyYkOeULmcvUlcC9b6L5tvbq3Fdh\nEhPz7jaWlpZ07tyZzp07A8o7jJcuXVIljosXL+bZs2coFAqMjY2ZM2cOixYt0nDk8Mcff7Bw4ULO\nnz9PfHw89vb2eHh4MG3aNNUEAp6envj4+GTbtnr16ty4cUPjMUrFz9Sp8MMP8M03MlEsDtSaKN64\ncYOAgIA8t2/evLk6Dy9JuQoNhT174OBBOHdOWUAWwNgYateG9u2henXlQO2KFZXTVFlagoUFGBoW\njbttUt4ZGhrSpEkTmjRpopqr3s/PjwEDBpCYmMjSpUs1niiGhobSokULLCws6Nu3L46Ojhw/fpx5\n8+Zx8+ZNfH19VW2NjIzYtGlTlu0tLCw0Gp9UfFWuDB4esHWrsj9t3FjXEUmapLa3nt93kLdCoZB1\nyCSNevpUWcZhyxbIHD5bqhS0bAlt2kCzZlCnjvJOoSS9LjU1lQsXLqjuKAYHBxMdHa169Ozq6sqZ\nM2c0GsOSJUuYM2cOhw4dokOHDqrlLVu2JCgoiBcvXmBsbIynpyf//ve/iY+Pf6/9y/5L+hB//aW8\nyO7WDfbt03U0Ul7p9K1ngPHjx+Pm5qbOXX6wsLAw5s+fz7lz53jy5AmOjo6MGDEiSx208PBwpkyZ\nQlBQEKamprRt25Zvv/0WU1NTHUYu5YcQykfKa9bA7t3KMYVlyihnFOjVS5kkGhrqOkqpoHn+/Lmq\nNE5QUBAXL14kJSUFgNKlS9OkSRPc3Nz46aefMDEx0XiSCMo5nEE5heDr7O3tKVu2LIav/UcWQpCR\nkUFycrLstyStqFVLmST6+SmTxn/yD6kIUmui+Mknn9C7AL0vHxAQQPfu3XFwcGDIkCFYWVlx584d\nHj16pGoTERGBu7s7AF5eXsTHx+Pt7c21a9c4efIkBgZyGGdhIAQcOqQs2/Df/yqXtWoFI0YoO7N/\nhnNJUo7Kli2rmtu5UqVK9OjRAzc3N9zd3alVq5bqicnrj3s1rVevXixZsgQvLy+mTp2Kg4MDx48f\nZ9euXcydOzfLU5zExETMzc1JTExUjWOcP39+lmRSktTt66+VieI33ygfQ0tFU5HNgl69esXQoUNx\ndXXFz88v14TP29ubyMhIrly5QrVq1QBo0qQJ3bt3Z//+/fTs2VObYUvvSQg4fBhmz4bLl5V3C4cN\ng4kT5RWulHcjR47E3d2dZs2aZbuDpysWFhZcv36dVq1a0alTJ9XynTt30qdPH9XXtra2TJ8+nQYN\nGpCRkcHhw4f55ptv+OOPPzh69KguQpeKicaNlU9pduyAhQuVU/xJRU+RTRR37NjB3bt32bNnDwYG\nBqSmpuZ4df3LL7/QunVrVZII0LVrV+zs7Ni8ebNMFAuw//4XvvoKgoKUdwwnTIBp08DOTteRSYWN\nt7e3rkPIJioqioEDBxIVFcWGDRsoW7YsBw4cYPjw4WRkZNCvXz8Ali5dmmW7vn374uTkxKxZs/Dz\n86Nbt2457j8mJoaYmBicnZ2zrRs7dixjx45V/zclFTkzZ4K/P3z7Laxfr+toJID169ezPpd/jNjY\nWCwtLd9rf2pLFJs3b06FChXUtbsPdvLkSUqUKEFqaiqNGzfm0qVLlC9fnkGDBrF48WIMDAyIi4vj\n0aNHjBs3Ltv2bm5uBAcH6yBy6V0ePIAZM5RXsfr6MHIkzJkjE0RJPQ4ePMjhw4e5ffs24eHhVKxY\nkapVq9KxY0etxuHj40NQUBBhYWHY2toC0L17dzIyMpg8ebIqUczJpEmTmDNnDkFBQbkmipaWllha\nWsqXWaQP0ro1NGwImzYp+2Fra11HJL3tQq9WPh61qW1mllOnTtGmTRt17e6D3bt3DwMDA9q1a4er\nqyu//fYbffr0Yfny5YwZMwZQjk8E5fikN5UrV47IyEitxiy9XUoKLF0KNWook8TOnZWDqH/8USaJ\n0oe7e/curVq1okuXLnh7e3PixAmioqI4fvw43t7edO7cmb///pvU1FStxHPgwAEaNGigShIzdenS\nhYiICEJCQnLd1tjYGEtLS8LDwzUdplTMKRTKsYopKbB6ta6jkTRBbXcUx48f/97brFmzRl2HzyYi\nIoKkpCQ6d+7Md999ByivxiMiIvj555+ZNWsWMf9U4jU3N8+2vbm5OampqSQkJGBmZpbjMeSjG+3x\n91fOsHHrFjg5wdq1stCrpD4pKSn06NGD27dvM2HCBCwsLNi5cycKhYIyZcqQlpZGbGwsMTEx/P33\n36SkpGBkZKTRmF6+fIm+vn625WlpaQAkJCTkuu2LFy+Ijo7GwcFBU+FJkkr37lCzprII94wZykoT\nUtGhtkRx3bp179VeoVBoNFHMfAb/ev0xgPbt27N7925CQkKoXr06QI71x+Lj4zEyMso1Scw8hnx0\no1kxMcpZAH7+WTk7ypIlMGUKaPh3tFTMLFmyhBs3bnDw4EHatm0LwPz587O1c3Bw4P79+yxZsoSF\nCxdqNKZ69eqxdetWwsLCsoyh3rFjByVKlKBmzZqkpKSQmppKqVKlsmy7aNEihBC0bNlSozFKEihn\nq/r6axg0SDlOcfZsXUckqZPaHj1nZGS887N3715cXFwA+Oijj9R16BxlPq5p0KBBluWZX0dERKjq\nlEVFRWXbPioqCisrK43GKL3dnj3g7KxMEtu1g2vXlAOnZZIoqdvp06fp37+/KknMjZmZGRYWFpw+\nfVrjMc2cORN9fX3c3d1ZvHgx3t7edOzYET8/PyZOnIilpSURERHY29szduxY1qxZw5o1a+jUqRPf\nfvstffv2pZ287S5pSf/+4OAA330Hb7nZLRVCaksU32bfvn00aNCAHj168PLlS37++Wdu3ryp0WPW\nrVsXgLNnz2ZZnvm1vb09FhYW2NnZERgYmG37wMBAateurdEYpZw9ewZ9+kDv3pCaCj4+cOQIaPja\nQirG/vzzTxrncR4yExMTrly5ouGIwNHRkYsXL+Lq6sqPP/7IjBkziIyMZP369XzzzTcAlClThi5d\nuvD7778zc+ZM5s+fT2xsLD/88AO//vqrxmOUpEwlSiirUERHw4YNuo5GUiuhQXv37hX169cXCoVC\nVKtWTWzZskWkp6dr8pAqDx48EPr6+qJTp05Zlnfs2FGULFlSPHv2TAghxOzZs4WJiYkIDQ1Vtdm3\nb59QKBRiz549bz2Gs7OzcHZ2Vn/wxdhvvwlRvrwQIETPnkJEROg6Iqk4qFatmpg1a9Y72zk7O4ty\n5cqJatWqaSEqzZL9l6RuSUlCWFsLYWcnRHKyrqORcpKf814jdxT37t1L/fr16dmzJwkJCWzZsoWb\nN28yaNCg954TOr8qVarEhAkTOHToEP3798fb25u+ffty+PBhZs+eTbly5QAYM2YMFSpUoF27dixb\ntoyZM2cyePBgmjVrlmtZCUn9YmKUk8z36QPp6cq3mnfvlqUWJO2oX78+fn5+JCcnv7VdRkYGL168\nUA2hkSTpf4yNlWPIHz2SM7UUKerMVPfs2SPq1asnFAqFcHJyEj4+Plq7g5ibVatWiU8++USYm5uL\nhg0bii1btmRr8/DhQ9GnTx9hY2MjqlatKkaNGiUSExPfuW95Ra4eBw8KYWOjvIvYtau8iyhpX0BA\ngNDX1xfdunUTT58+zbHN06dPRalSpQQgAgICtByh+sn+S9KE+HghypQRokoVIdLSdB2N9Kb8nPcK\nIf6Z4PQD1atXj6tXr+Lk5MTs2bPx8PDQ2t1DXcksXCnfes6fFy+UV58bNoC5ubLkzRdfKOtySZK2\nLVu2jFmzZmFiYkLPnj1xcnLC2tqaJ0+eEBoayt69e0lMTKR8+fI8ffpU1+F+MNl/SZqyYAHMnw++\nvsonRVLBkZ/zXm2JYmZSaGJigp6eHop/ftu/uXuFQoEQAoVCkWNZmsJEdrT5FxAAnp5w756ysv/P\nP0OlSrqOSiru/P39mTp1KpcvX862rn79+kRHR2NmZlYkznnZf0maEhMDlSsrP3/+qSyfIxUM+Tnv\n1VZHcdCgQe/VXiFvGxVLSUnKGlurVyvHs6xdC2PGyI5EKhhatmzJH3/8QWRkpGoKPzs7O6pVq4aV\nlVW+pr+SpOLG0hJGj4YVK+A//wE53L9wU1ui+Msvv6hrV1IRde4cDB4MoaHQpAls2aKcZUWSChor\nKytZR1WSPsDkybBmjXKShK5d5ZCiwkzex5E0LjlZOa1T06bKR83ffAOBgTJJlAqWlJQUgoODs9R4\njYqKYurUqTRu3JiGDRvy+PFjrc31LEmFmbU1DBsGFy7A8eO6jkb6EGpLFDPnPX6fj1T0nT0L9evD\n//2f8s9Ll2D6dDBQ271sSfpwjx49on79+ri5ueHs7EyjRo2IjY3F3d2dVatWERoaSmhoKM+fP+fu\n3buEhYVpPKY//viDbt26YWNjg5mZGTVr1mTRokXZSviEh4fTr18/1SPyMWPGkJiYqPH4JOldvvpK\n2dcvXqzrSKQPobZf15l1CfNKoVCQnp6ursNLBczLl8qxiGvWKCv2L1umnLNZJohSQbRw4ULu37/P\n1KlTsbe359tvv+Wzzz7jxYsXXLx4UTX1p4ODAw8fPmTOnDkanfkkNDSUFi1aYGFhQd++fXF0dOT4\n8ePMmzePmzdv4uvrCyinInV3dwfAy8uL+Ph4vL29uXbtGidPnsRAnnCSDtnbKytZ/Pyz8inSP/9V\npUJGbb3I3Llz36u9fJml6Dp0SPmCyv374OoKGzcq52yWpILq999/p2vXrixfvhyA0qVLM2jQIL77\n7rss88WbmZlRpkwZzp8/r9F4du/eTUJCAr/99hsdOnQAYOLEibRs2ZJdu3axadMmjI2N8fb2JjIy\nkitXrlCtWjUAmjRpQvfu3dm/fz89e/bUaJyS9C4zZijHoy9ZopyKVSp81JYozp8/X127kgqpR49g\n4kTljColS8o3mqXC49GjRzRv3lz1ddOmTQGoUaNGtrZGRkY8ePBAo/HY2NgAyjnpX2dvb0/ZsmUx\nNDQElC8Rtm7dWpUkAnTt2hU7Ozs2b94sE0VJ55ycoG9f+PVXuHgRGjbUdUTS+yqyv8JPnTqFnp5e\njp837wbIMT4fJjUVli+H6tWVSWLPnnDjBowbJ5NEqXBIS0vDwsJC9bW5uTlAro9uMzIyNBpPr169\ncHR0xMvLi8OHD3Pjxg3Wrl3Lrl27mDBhAnp6esTFxfHo0SPc3Nyybe/m5sbVq1c1GqMk5dXMmco/\nlyzRbRxS/qh9AMurV6/417/+xeHDh1V1yCpWrEjVqlXp2LEjI0eORF9fX92HzdWECRNo1KhRlmVV\nqlRR/V2O8ck/IeDgQeXYw9BQ+Ogj+P576NxZ15FJ0od529AYbQybsbCw4Pr167Rq1YpOnTqplu/c\nuZM+ffoAyr4LoGzZstm2L1euHJGRkRqPU5Lyok4dZS3Fffvg6lXl11LhodYs6I8//sDDw4OwsDAM\nDAywtbWldu3aPHnyhKNHj3Lo0CHWrFnD9u3bs4z70SR3d/e3Pn6RY3zy5/Jl5Rttx4+DqSksXAjT\npimLaEtSYfT111/zzTffAMoLXoDhw4djZmamanPnzh3S09M1nixGRUUxcOBAoqKi2LBhA2XLluXA\ngQMMHz6cjIwM+vXrp6ockXn383Xm5uakpqaSkJCQJf7XZVafcM5hAPHYmF3psgAAIABJREFUsWMZ\nO3aser8pqVibNQv8/JQvNm7frutoirb169ezfv36HNfFxsZiaWn5XvtTW6L4/PlzevXqRVJSEqtX\nr2bEiBGYmJio1iclJbFhwwaWLFlCr169CAkJyfKoR1OEELx8+ZKSJUvmuF6O8Xk/t27B3Lmwc6ey\ngKqnp/Jxgq2triOTpPx7fXxipgoVKmRbpq+vj76+Pp988olG4/Hx8SEoKIiwsDBs/zm5unfvTkZG\nBpMnT6Zfv36qzj6nqVDj4+MxMjLKNUkEsLS0xNLSUk7hJ2lFo0bQvr3yd8f8+bKOria97UIvP7NL\nqS1RXLBgAdHR0QQEBFC/fv1s601MTBg/fjzNmzfH3d2d+fPns3r1anUdPldDhgzh5cuXmJub07Rp\nU77//ntVUpg5xmfcuHHZtnNzcyM4OFjj8RUWt24pa2H5+kJGBnTqBEuXQt26uo5Mkj7cqVOn8tQu\ns5P19/fXYDRw4MABGjRooEoSM3Xp0oVffvmFkJAQHBwcAOXdxzdFRUXJmWWkAmf2bDh6VDnpwubN\nuo5Gyiu1vWpw9uxZPDw8ckwSX+fi4sLAgQM5e/asug6dIyMjI3r37s2aNWvYv38/X3/9NRcuXKB+\n/frcvn0bkGN88uLsWejVC2rUgK1boVUrZT2sAwdkkigVT4mJiSxdulSjx3j58qXq8ffr0tLSAEhI\nSKB06dLY2dkRGBiYrV1gYCC1a9fWaIyS9L7c3ODTT5W/S/7+W9fRSHmltkTx+vXr70wSM9WtW1fj\njztcXV3ZtWsXnp6edO7cmenTp3P27FmEEEybNg0gz2N8chMTE8Pt27dxdnbO9sltfEBhkJIC27Yp\n52N2dYV//1t5BzEoCH7/XXmyS1JRtn79+hzP69u3bxMVFcWcOXM0evx69epx+fLlbDPA7NixgxIl\nSlCzZk0APD098ff359atW6o2fn5+PH78mKFDh2o0RknKjzlz4NUr5WxdUuGgtkfPlSpV4s6dO3lq\ne+/evWz1wbShSpUqdOvWjd9//x1AjvF5jRBw5Yqygv62bRATAyYm8OWXMGkS5GNYgyQVWrmN8alV\nqxbPnj176wWkOsycOZPt27fj7u7OuHHjsLS05MCBAxw5coRp06ap+q4xY8awdetW2rVrx8iRI3nx\n4gXe3t40a9aMbt26aTRGScqPVq2UNyE2b1Y+iraz03VE0ruo7Y5i/fr12b179zvncI6JiWH37t15\nvvuobhUrViQ6OpqUlBSsra2B4jvGJzM5nD8fatZUzsW8Zg1YWcG330J4uHJWFZkkSpJ2OTo6cvHi\nRVxdXfnxxx+ZMWMGkZGRrF+/XvVmNigLcwcFBfHJJ5+wdu1afvvtNwYMGMCxY8e0WoZMkvJKoVAm\niKmpsGKFrqOR8kIhhBDq2NFff/1Fo0aNcHFx4ccff6RuDgPYrl69yqhRo7h8+TLnz5/XyRia3r17\nc+bMGdX4xEqVKlG3bl0OHjyYpV3FihVxcXHhwIEDue4rc2B7YbqjGB0N/v7KsjaHDsHDh8rlFSpA\nnz7w+efQuLHyZJYkKavMO4pRUVEaL7qtaYWx/5KKBiHg44+VEzP8/bfy5oSkHfk579X26LlWrVr8\n8MMPDB8+nPr169O0aVOcnJywtrbmyZMn3Lp1i+DgYPT19fnxxx81niQ+e/aM8uXLZ1l25coV9u/f\nT+/evVXLPD09WblyJbdu3cLpn/f1M8f4rFmzRqMxalp8PFy7BiEhyqmT/vtfuHnzf+s/+kg55V7X\nrsrJ2mVtcUmSJEnTMu8q9uoFK1cqZ/aSCi613VHMFBYWxowZMzhy5AhJSUmq5cbGxnTo0IFvvvlG\nlZBpUqtWrTA1NcXV1ZUKFSpw/fp1fvrpJ0xNTbly5Yqq7ERERASurq4AWcb41KlTh1OnTr318Y02\nr8iFgPR05e36xERISIC4OHj+HJ49g8hIiIiA+/eVn1u34MmTrPtwdFS+nNKiBbRurUwUJUlSzsqU\nlyLavr6+JCUlkZKSQnp6uhYi0xx5R1HSpYwMqFcP7t1T3lUsV07XERUP+Tnv1Z4oZhJC8PjxY8LD\nw7Gzs8POzk4rU19lWrt2Lb6+vty+fZuEhAQ++ugj3N3dWbRoUbY7jeHh4UyePJmgoCDMzMxo06YN\nq1atylIwPCfm5rV4+RJMTNTb0Wb+iwjxvwQxh0oZuSpTBqpVU8697OysHHvo4iJv70tSbvTyOCl5\nZnepUCjko2dJ+kC//goDBihnbVm8WNfRFA86TRQvXbr0Xu1LlCiBtbV1tqStMKlQoRZJSeDurv6O\nNjOn1tNTfgwMwNBQ+TE1VX4sLJRJYdmyyiTQygoqV4ZSpdQejiRJFK3kqih9L1LhlJ6uvJnx5Iny\nSVjp0rqOqOjT6RjFhg0b5ms7CwsLhg0bxtKlSylRooS6wtGKzBz30CHdxiFJkiRJhY2+vvJu4uDB\nyoobc+fqOiIpJ2pLFDe/53w8GRkZxMbGcv78eVatWoUQgm+//VZd4UiSJOXZ+fPnqVKlSo6zNL0p\nNTUVHx8fBg0apIXIJKlo8/CABQtg1apnPA9fwPFD+3iVmoqBoSGdevRgyrx5lJMDGHVLFADjxo0T\nH330ka7DeG/W1tbC2dlZ12G807p163QdQp4VllhlnOql6zgVCoXw9fVVfR0VFSVMTEzEqVOnsrRz\ndnYWFhYWQk9PT9shqp2zs7NG+i9d/1vmlYxTvfIb5/Pnz0XX1uOFNZZivZ6BSPpneH4SiB8NDISz\npaX4evx48fz5c53Hqm2aiDM/573aCm5/iBYtWug6hHx5V3HxgqIwTSdYWGKVcapXQYtTCEFycnKO\nbza/fPlS9VKLlF1B+7fMjYxTvfITZ1xcHK41a9Iq8Ef+JoYxGa8w/medMTDy1SsuxcRg/eOPuNas\nSVxcnM5i1YWCEmeBSBR79eqV5+n/JEmSigNPT0/09PRy/WROGpBbu8z5oCWpoPq/uXMZFR3NhNRU\njHJpYwSMT01lZHQ0y+fN02Z40j9kiWVJkqQCaNSoUbRr1y7LsoyMDEaNGoWjoyM2Njaq5UZGRmza\ntClLWwsLC63EKUn58ezZM/y2beNSamqe2o9KTaXB1q1Mmj1bjlnUMpkoSpIkFUBNmjShSZMmWZYF\nBQWRmJjIwIEDsywvUaIEHh4e2gxPkj7IygULGB8fn+udxDcZAV7x8axcsIBla9dqMjTpDTJRlCRJ\nAu7du6eqB/v8+XMAbt26RenXiru9PtuULmzfvh2FQpEtKRRCkJGRQXJyMqampjqKTpLy7tC+fZx/\nn5kkAM9Xr/hk716ZKGqZTBQlSZKAOXPmMGfOnCzLxowZk+Vr8drMLNqWlpbGrl27aNasGfb29lnW\nJSYmYm5uTmJiIvb29nh4eDB//nwMDQ21Hqck5cWr1FTViyt5ZfzPdpJ2aWwKv+LA2Fj537xKlSo6\njuTtYmJisLS01HUYeVJYYpVxqpeu48y8g/guT58+BWDjxo0MHjxYkyFlc+DAAbp27coPP/zAyJEj\nVctnzpwJQIMGDcjIyODw4cNs2bKFtm3bcvTo0Vz3Z2xsTGpqao4THVhaWub730PX/5Z5JeNUr/eN\n886tW3z06hXvc8klgLsGBlRxcnrv+F5XVH+mr2+XW1WWjIwMjI2NefHiRZ73JxPFD2BtbU1CQkK2\nq3tJkoqmBw8eYGZmxpMnT7R+bA8PD/79738TERFBmTJl3tp22bJlzJo1i71799KtW7cc28j+S5KK\nn/z0YTJRlCRJKuBevnyJlZUVbdq0wc/P753tk5OTKVmyJJMmTWLFihVaiFCSpKKqQNRRlCRJknK3\nb98+kpKSsr3tnBtjY2MsLS0JDw/XcGSSJBV1MlGUJEkq4Hx9fSlVqhRdu3bNU/sXL14QHR2Ng4OD\nZgOTJKnIk4miJElSAfbs2TOOHz9Ojx49VC/QZUpJSclxUPqiRYsQQtCyZUtthSlJUhEly+NIkiQV\nYDt37iQ9PT3Hx84RERHUr18fDw8PqlevDsDRo0c5fPgwffv2zTaziyRJ0vuSL7NIkiQVYE2bNuXe\nvXs8fvw4W/3GuLg4vLy8OHv2LI8fP8bQ0JAaNWowePDgLCV0JEmS8ks+es6BEIJFixZRr149ypYt\nS8eOHTl//nyetk1NTWXSpEnUqFEDa2trevbsye3btwtUnCdOnGDo0KE4OTlhZmZGlSpVGD58uMZK\nfnzIz/N1w4cPR09Pjy5dumggyg+P89y5c/Tu3Rt7e3vMzc1p2LAhu3btKnCxnjhxgtatW1OhQgVK\nlSpFvXr1WLt2Leq+ZkxISGDevHl06NABS0tL9PT02LJlS5631+a59CGxavp8Cg4OJiIiIsci3xYW\nFvj4+HDr1i1evnxJTEwMwcHBGksS//rrL/r06UOVKlUwMzOjbNmyNG3aFF9f32xtw8PD6devH3Z2\ndlSrVo0xY8aQmJiokbjyYsmSJejp6VGnTp1s63QV66lTp9DT08vx8+b5XBB+nmFhYQwcOJCqVatS\nsmRJ6tSpw9o3ZknRdZyenp65/kz19PSIiIgoMLH+8ccfdOvWDRsbG8zMzKhZsyaLFi0iOTk5Sztd\nxykfPedg9OjRbNy4kZEjR1KtWjW2bdtGmzZtOHHiBI0aNcp1OyEE3bp14/Tp04wbN45y5cqxadMm\nmjdvzpkzZ3B0dCwQcU6fPp1nz57RvXt3qlevzqlTp9i2bRvHjh3jzz//xMLCokDE+bqLFy+yZcsW\njI2NNTYrxofE+dtvvzFo0CAaN26Ml5cXFhYW3Lx5U2NvneY31tOnT9OhQwccHR0ZOnQoZcuW5cCB\nA0yYMIEnT56wZMkStcX47NkzFi1aROXKlXFxceHUqVN5/rfT9rn0IbFq+3zSpQcPHvDy5Us8PT2x\ntbXl9u3bHDt2jC+++IKoqCgmTJgAKB+Ju7u7A+Dl5UV8fDze3t5cu3aNkydPYmCg3V894eHhLF26\nFDMzs2z/rgUh1gkTJmQ7b1+fyKEgxBgQEED37t1xcHBgyJAhWFlZcefOHR49elSg4hw1alS2IRcZ\nGRmMGjUKR0dHbGxsCkSsoaGhtGjRAgsLC/r27YujoyPHjx9n3rx53Lx5U3Xxpes4ARBSFmFhYUJP\nT08sXLhQtSwuLk44OjqKLl26vHXb48ePC4VCIXx8fFTLHjx4ICwsLISXl1eBifPkyZPi1atXWZYF\nBAQIhUIhli5dWmDizJSRkSFcXV3FsGHDhIODQ56301acsbGxwsLCQgwfPlztceXkQ2IdNmyY0NPT\nE9evX1ctS09PF1WqVBE2NjZqjTMlJUVERkYKIYS4ePGiUCgUYsuWLXnaVpvn0ofGqs3zqSBKT08X\nLi4uokaNGqpls2fPFiYmJuLWrVuqZX5+fkKhUIg9e/ZoPcZ+/fqJNm3aiBYtWojatWtnWafLWP39\n/fN0HF3/PNPS0kSVKlVEx44dRVpaWoGNMzeBgYFCoVCIZcuWqZbpOtbFixcLhUIhDh8+nGV5ixYt\nhIGBgUhKSioQcQohhEwU3zB79myhp6cnnj59mmX5rFmzhIGBgXjy5Emu237++eeiTJky2X5pDBw4\nUJQpU+atJ5g248yNpaWlGDhwoLpCFEKoJ84tW7YICwsL8eTJE1G5cmWNJIofEufChQuFoaGhatvk\n5GS1x6euWOfMmSOMjY1FdHR0luXNmzcXH3/8sUbiFUKICxcuvFfypc1z6U3vG2tuNHE+FVQNGzYU\nzZo1U31dsWJF0blz52ztKlasKDp16qTN0MTp06eFgYGBuHbtmvj0009FnTp1ssWkq1gzE8Xdu3eL\nFy9e5NpO1z9PHx8foVAoREhIiBBCeWGVE13HmZvRo0cLPT09cf/+/Swx6TLWTZs2CYVCIf76668s\nywcNGiSsrKxEenp6gYhTCCHkGMU3XLt2DScnJ8qXL59lubu7O+np6dy4ceOt2zZu3Bh9ff1s2z5/\n/lytjyE/JM6cxMTE8Pz5c2xtbdUWI3x4nC9evGD69OnMnDkTKysrtcamrjhPnjxJ5cqVuXDhAnXr\n1sXU1BQHBwdWrlxZ4GIdNGgQFhYWjBw5klOnTvHnn3+yaNEizp07p3psWBBo81zSBE2dTwVFYmIi\nUVFRnD17llmzZnH16lXGjx8PKF+wefToEW5ubtm2c3Nz4+rVq1qLMz09HS8vL4YPH06tWrWyrS8o\nsQ4ZMgRzc3NKly5Nx44dCQsLK1Axnjx5khIlSpCamkrjxo0xMzPD1taWGTNm8Or/27vvsCiu/X/g\n71mqIG1FXQSvLGIhIgqKDVEBxRjpYLBGUrBcgiURE5VrRDRBDcQSUyRVXRAsAYNeRYNGc7Eml8Qo\nKgiCAhZAjCIg5fP7w2f3yzKzgLLA/nLP63n2jz1zZuY9C3P27JQzdXUak1NIbW0tkpOT4eLionhc\npSZkDQwMhFQqRXh4OP79738jOzsb27ZtQ3JyMhYvXgyRSKQROQF2jSJPSUkJunXrxis3NzcHgGYv\nUC8pKRFsjBrPq64BcNuSU8imTZtARAgICFBLPrm25ly7di0MDQ2xdOlSteZqqi058/Pz8fjxY7z6\n6qtYtmwZoqKisH//fkRERKCmpgYrV67UmKy2trbIzs7GyJEj4e7uDgDQ0dFBRkYGXFxc1JqzLTpy\nX2oP7bU/aYp33nkHO3bsAADo6uoiIyMDY8aMAQDFzQKq/kfv3r3bYTm/+OILFBYWIiMjQ3B6Z2fV\n09NDUFAQXnnlFZibm+Py5cv4+OOP4ejoiKysLNja2nZ6RuBZG6etrQ1PT0/MnTsXK1aswIkTJ7Bx\n40aUl5djx44dGpFTyNGjR1FeXq40vJQmZDUxMcGVK1fg7u6OqVOnKsqTkpIwbdo0jckJsLueecrL\ny2FsbMwrl5eVlZWpnPfBgwcvPO/zakvOpuQ7/GuvvYZRo0apLSPQtpzXr1/H1q1bsWnTJujo6Kg1\nV1NtyVlSUoLy8nKEhYVhzZo18Pf3x+7duzF8+HBs3LhR7XentSVrXl4ePD09YWpqip07dyI5ORlT\np05FUFAQTpw4odacbdGR+5K6tef+pCmWLl2K48eP4/vvv4ebmxt8fHwUz6AuLy8HAJV/v6dPn6Ky\nsrLdM5aVlWH16tVYvXq14Bct0PlZR48ejeTkZISEhMDLywvvvfcezp49CyJCRESERmQEnrVxVVVV\n8PT0xObNm+Hn54ctW7YgKCgI3377LQoKCjQip5CEhATo6uri1VdfVZRpQtbS0lL4+PigtLQU8fHx\nOHDgAN544w2EhoYiKSlJY3IC7Igij1gsxl9//cUrl5epanDaOu/zUte6srOzERQUhKFDh2L79u1q\nyyfXlpyLFy+Gi4sL/P391Z6rqbb+3e/evYuXX35ZqXzy5Mm4ePEicnJyMGTIEI3IunnzZhQXFyMn\nJwcGBgYAgKCgILi7u2PVqlXIzMxUW8626Mh9SZ3ae3/SFAMGDFAM8D1nzhxMnjwZK1euhK+vL8Ri\nMQCo/Pvp6enB0NCw3TNGRkbC3Nwc4eHhKutoStbG+vbtC19fXxw7dkxjMsozCLVx+/btQ1ZWluL/\nQZM+y8ePHyM1NRWTJ0+GmZmZolwTPtOdO3fil19+QU5OjuISFT8/PzQ0NOCdd95BcHCwRuQE2BFF\nHolEgvv37/PKS0tLFdPbY97npY513bp1S7EDHT58uF3+4V40Z0ZGBo4ePYpFixbh5s2bilddXR2e\nPHmCgoICwUeXdXROAOjVqxc4joOTk5NSufx943G71KEtWdPS0uDu7q7oJMp5e3vj/Pnzil+wna0j\n9yV16Yj9SVMFBgYiOzsbN2/eVPxt5H+rxkpLS9v1WmO5nJwcxMfHIzw8HLdv31a0H9XV1Xj69CkK\nCgrw4MEDjcgqxMrKCmVlZaipqdGIjPKOTHNtnHzYGU36LFNSUlBVVcV7qpEmfKZpaWlwcnLiXcfs\n7e2NkpISZGVlaUROgHUUeQYPHozc3Fzcu3dPqfzUqVPQ0tKCnZ2dynnt7e1x/vx5xcW9jec1NTWF\nlZWVRuQEnp2W8fT0RG1tLY4ePdpu/3AvmrOwsBAAEBAQABsbG8WruLgYGRkZkEql+Pbbbzs9JwA4\nODiAiHD27Fmlcvl7+QXUmpC1srIS9fX1vPLa2lo0NDSgqqpKrVlfVEfuS+rQUfuTpmr8f2NqagpL\nS0ucPn2aV+/06dOwt7dv9zxFRUVoaGjAokWLlNqP8+fP4/r165BKpYiOjtaIrELy8vLQs2dP6Onp\naURGBwcHAGi2jTMxMen0nE3JZDIYGRnBx8dHqVwTPtPHjx/z2jfgWVsMPGurNSEnADaOYlM5OTnE\ncRxFRUUpyioqKnjj95WUlFB2drbSMB3ysd8aD6tRUFDQbuMovmjOx48f04gRI8jExIR+++03teZS\nV87CwkJKTU1VeqWkpFCPHj1oxIgRlJqaSjdu3Oj0nEREv/zyC3EcR2FhYYqy+vp6sre3JysrK7UP\n5dKWrBMnTqRu3bopDY9TV1dHw4YNI7FYrNacjTU35Exn70ttzdqR+1NnazokExHR06dPycnJiSQS\niaJMPvbbtWvXFGUpKSkdNvZbaWkppaSk8NoPe3t7sra2ptTUVPrzzz87PavQ55mVlUU6Ojo0Y8YM\nRVlnf56FhYWkpaXFG47llVdeoa5du9L9+/c1Imdj9+7dI21tbZo7d67g9M7O+tZbb5Genp7S+IhE\nRH5+fqSrq6toozs7JxEbR1FQaGgoaWlp0cKFCykuLo6GDRtGxsbGdO7cOUWduXPnEsdxSuMyERF5\nenpSly5dKCIigjZs2ED9+vUjCwsLysvL05icvr6+xHEcvfnmm7Rr1y6lV0pKisbkFNJe4yi2NWdg\nYCCJRCKaP38+bd++nSZNmkRaWlqUmJioUVkzMzNJJBKRra0tbdy4kbZu3UqjR48mjuPos88+U3vO\nbdu2UXR0NC1cuJA4jqPAwECKjo6m6OhoevjwocqcRB27L7Ula0fvT53Jz8+PPDw8KCoqiuLj4yk6\nOpoGDhxIWlpalJqaqqhXXFxMffr0oT59+tCHH35IK1asIBMTExo7dixvbMyONH78eN6A252Z1c3N\njaZOnUrr1q2jHTt20JIlS8jAwIDMzc2pqKhIIzLKvfPOO8RxHAUHB9P27dtp2rRpxHEcxcTEaFRO\nuW3bthHHcZSeni44vbOz5uXlkYGBAfXs2ZOio6Np+/btNGXKFOI4jpYvX64xOYlYR1GlqKgocnBw\nILFYTFOmTFH6AiYiCgkJ4Q3gSfRsINLFixfTgAEDqEePHuTv7085OTkaldPa2ppEIhFxHMd7SaVS\njckppL2ezNLWnPX19bRq1SpycHAgY2NjcnFx4Y24rylZMzMzadKkSdSzZ08yNTWlUaNGUVJSUrtk\ntLa2VvxviUQixf9d41yasi+9aNbO2J86y549e2jSpEkkkUhIT0+PpFIp+fv708WLF3l1b926RdOm\nTSMLCwuytbWlBQsW0JMnTzoh9f+ZMGECb8Btos7LunXrVho5ciR169aN9PX16aWXXqL58+cLHmnU\nhM8zLi6ORowYQcbGxjR8+HDBo+6akJOIaPTo0SSRSKihoUFlnc7OeuXKFfLz8yNLS0syMjIiJycn\n+uyzz3iZOzsnR0TUMSe5GYZhGIZhmP+fsJtZGIZhGIZhGEGso8gwDMMwDMMIYh1FhmEYhmEYRhDr\nKDIMwzAMwzCCWEeRYRiGYRiGEcQ6igzDMAzDMIwg1lFkGIZhGIZhBLGOIsOo0cGDB2FkZIRHjx51\nWoahQ4dizZo1nbZ+hmEYTfTHH39AS0sLN27caLGutbU1Xn/99XbNs2TJEkyYMKFd16EOrKPIaBSR\nSNSq16lTp3Dz5k2IRCLExsYq5j958qSijkwmE1yHi4sLRCIRBg8erFRubW2tcn1TpkxpVf7Y2FjM\nmDEDRkZGL/4htNGCBQvw+eefo6amptMyMIyQS5cuISgoCH369EGXLl1gZWUFT09PfPrpp0r1rK2t\n4e3tLbgM+T5+4MAB3rRbt25h3rx5cHJygrGxMZycnDBv3jzcvn2bV3fNmjUQiUQoLy8XXI+9vT3c\n3NwU74XaGyGN2xEdHR3Y2NjAw8MD4eHhKCgoEJynubZu4cKFinohISFK04yNjeHg4IANGzagurq6\n2VxCRowYAZFIhC+++EJw+nfffQeRSIQuXbqguLiYN33ChAm8dlTu4MGDCAoKgp2dHQwNDdG/f394\neXkhOTkZ9fX1vO0PDw9vNuuECRNUfkZ2dnat2t7Y2Fh4eHigb9++LdblOA4cx7VquS9q/vz5OHXq\nFH777bd2XU9baXd2AIZpbPfu3Urvv//+exw7doxXPnDgQDx58gQABHdmfX19JCQkYNasWUrlN2/e\nxJkzZ6Cvr8+bj+M4ODo64t133+Utr1evXi1mv3jxIk6fPo1PPvmkxbrtadasWYiIiMCuXbvw1ltv\ndWoWhpH7448/MHLkSPTo0QOTJk2Cs7MzSkpKcOrUKWzevBlvv/22ou6LfEkfOXIEs2bNgra2NoKD\ngzFv3jxcuXIFSUlJOHDgAGQyGSZPntzq5anK0FKuxu0IEaGoqAg5OTmQyWT46quvsGLFCqxevZo3\nn6enJ1577TVeef/+/ZXe6+np4euvvwYA5OTk4MCBA1ixYgWuXbuGb775ptXbl5OTg4sXL8LQ0BAy\nmQwLFixQWbempgYxMTHYunWr4PY2Vl1djdDQUMhkMgwfPhy+vr7o27cv8vPz8euvv2LGjBl44403\nEB8f3+xyhPTu3RsfffQRr9zExKTFeYuLi7Fnzx4kJia2WLej2NnZwdXVFXFxcbzvOI3SYQ8LZJgX\nEBYWRhzHCU7Lz88njuMoNjZWUXbixAniOI4CAwNJR0eHSktLleZZv349SSQScnV1JXt7e6Vpffr0\nadNzpKdPn07Ozs4vPL86hYaG0qBBgzo7BsMoTJs2jXr27EkPHz6e4aXMAAARSUlEQVTkTSspKVF6\n39y+KN/H9+/frygrKysjMzMz6t+/P928eVOpfn5+PvXr14/EYjE9ePBAUf7BBx8Qx3FUVlYmuJ5B\ngwaRm5ub0nKatjdCVGW/d+8eTZkyhTiO4z0HnuM4Cg8Pb3a5RERz586lrl27KpXV19eTRCIhjuOo\noqKixWXIrV69mgwNDWnLli0kEol4nxsR0bfffkscx5GjoyPp6+tTcXGx0vTx48fznp0dHR1NHMdR\nVFSU4HrPnTtHmzdvViprzfYLret5vP/++9SrVy+qr69vVX1ra2t6/fXXX3h9rSWTyUhXV5eKiora\nfV0vip16Zv6WfH19oaenh7179yqVJyQkIDg4GFpaWmo9rdDQ0IDU1FRMmjSJN+3YsWMYO3YszMzM\nYGRkhIEDB2LVqlW8+T/++GM4OzvD2NgYgwcPxrp169DQ0MBb3uHDh+Hu7o4ePXpALBZj/PjxOHbs\nmFIdDw8PXLlyBdeuXVPbNjJMW1y5cgU2NjYwNjbmTZNIJG1a9vr161FRUYGPP/4Yffr0UZpmbW2N\nTZs24cGDB1i/fn2b1tMW3bt3xzfffANDQ8MWT7M+D5FIBB8fHwBAfn5+q+dLSEiAv78/QkJCoKen\nh4SEBJV1V65cifr6esTExDS7zJKSEsTExGDEiBGCR02BZ6e7Fy9e3Oqc6nLgwAHF6eumtmzZgkGD\nBqFHjx4IDAxEYWGh4DJqamqwcuVKDBkyBMbGxhg2bJjgafsnT55g/vz5sLKyQt++fREeHo7r169D\nJBLh+++/V6rr4eGB2tpaHDx4UD0b2g5YR5H5WzIwMICvr6/SaYbff/8dV65cwcyZM0FEgvM9ffoU\nZWVlKC0tVXq1dP1PYWEhqqurYWNjo1R++fJleHl54a+//sKiRYsQFxcHHx8fZGZmKtULDAzEmjVr\nMG7cOMTFxcHNzQ1r165FSEiIUr3Y2Fh4eXmhtrYW77//PtauXYvevXvjxIkTSvXkOa5evdpsbobp\nKFZWVjh//jyysrJaVV/Vvvjw4UNe3cOHD8PKykrldY2+vr7o1asXDh8+3KZtaCuJRAI/Pz/cuHED\npaWlStOqqqoEt7e2trbF5Z49exb6+voYOHBgq3KcO3cON27cwOzZs2FsbAxvb2+V13QDgFQqxWuv\nvYb4+HiUlJSorPfLL7/gyZMnzZ7Gbou6ujrBz0h+GZIqtbW1yM/P57XPAPDRRx9h6dKlsLGxQVRU\nFMzMzPDyyy+jsrKSt25XV1fEx8fDx8cHsbGxGDx4MMLCwnid4qlTp+Kbb75BYGAg3n33XVy/fh2h\noaEA+KfYe/bsCUNDQ43+Uc+uUWT+ljiOw8yZM+Ht7Y2ioiJYWlpCJpOhb9++GDFihMr50tPT0b17\nd155TEwMli9frnI++U4ulUqVyo8fP47a2lokJyerbMR//PFHpKamIjExEcHBwYpye3t7LFiwAEuW\nLIGTkxNu3bqFf/3rXwgICMC+ffsU9Rpf2yUnbxA1ufFh/rcsW7YMP/30E5ydneHs7AxXV1dMnDgR\nbm5u0NbmfxWp2hebamhoQH5+PlxcXJqtZ2tri3Pnzr1wfnWR75vXr1+Hubm5ovzrr79WXHvY2J49\ne/Dqq68qlZWVlYGIcOPGDSQlJeHSpUuYMWMG9PX1W5Vh9+7d6Nmzp+IMyOzZs+Hr64vff/8dQ4YM\n4dXnOA6rVq3Czp07sWHDBmzevFlwudevXwcA3s0itbW1Sh18juPQrVu3VmVt7OrVq4L/EwsWLMBn\nn32mcr68vDzU1dXx2ueKigrExMTAy8tL6YheZGQkPvzwQ6W6n3/+OS5evIgzZ85g5MiRAIDQ0FD0\n6tULmzZtwj//+U9IJBKkp6fj559/xpYtWxRHjhcuXCh4tklOKpVq9I961lFk/rY8PT0hFouRmJiI\nZcuWYc+ePbwjdE2NGjUK69at45X369ev2fnkDWTThmjo0KEAnn3p9e/fX/C0R2JiIiQSCSZMmKB0\nlEF+x2VmZiacnJxw6NAhVFdXqzyl01i3bt1gYmKi0Y0P879l4sSJOHPmDD766CMcPXoUZ8+exaZN\nm9C9e3d89dVXvKOBqvbFrKwsLFu2TPH+/v37ePr0aYunryUSCWpqalBaWqrUQetoFhYWAMC7i9jP\nz0/wR5+9vb3S+8rKSl5nKSIiAhs2bGjV+uvq6pCUlIRZs2Yp2qMpU6agW7dukMlkgh1F4FnbNmfO\nHOzYsQPvv/++4Octv7u86bRDhw4hICBA8d7Q0PCFhhCTSqW8m2CAZ0erm6Oqff7555/x6NEj3qUA\nS5Ys4XUUExMTMWzYMNja2iq10x4eHoiJicHFixfh5eWFQ4cOQVdXV3EEEXjWMQ4LC0NGRoZgPhsb\nG/z+++/NbkNnYh1F5m9LW1sb06ZNQ0JCApydnXH79m3MnDmz2XnMzc3h7u7+wutsek3huHHj4Orq\niiVLlmDdunXw8PBAQEAAgoKCFKcgcnJycOfOHcUXSGMcx+HmzZuKeiKRCC+99FKrs7T38A4M8zyG\nDx+O/fv3o66uDllZWfjhhx/wySefICgoCFlZWUrDnKjaF5v+2OrevTt0dHRw586dZtd9584d6Ovr\nKzqJrdk32mP/kZ+6bdq5sbKyalXbo6+vj7S0NBARLly4gO+++w4ymQyhoaGwtbVtcf709HSUlpZi\n9OjRyM3NVZS7ubkhMTERGzZsULndkZGR2LVrF2JiYgSPKsq36c6dO0o/rseOHYvjx48DADZu3Mi7\n9Ka1DA0N1do+y6/pbHogwNzcHGZmZkplOTk5KCsrEzyi2bidLigogIWFBe/obnND8jQ0NAgeRNAU\nrKPI/K3NnDkTX3zxBaKiojB06NBWX8PzvAYMGADg2SmOxg0Cx3E4efIkTpw4gUOHDuHIkSNISkqC\nu7s70tPTIRKJUFdXBwcHB8TFxQkuu3fv3s+dp7S0FI8ePVLkYhhNoq2tjeHDh2P48OEwNDREZGQk\n9u7d26qj5U2JRCLY2NgodXqaIiLk5uYqXaMm7wiUl5dDLBbz5ikrK2v1+HzPQz7Yc0tnKVTR0tJS\ndJY8PDwQEhKCgQMHYtGiRa26BlN+LeL06dMFp//8888qB4GWSqWYPXu24qhiU/Jtys3Nhaurq6K8\ncad/586dKq8Rby+N22cPD49WzdM0Y319PTw9PVVegtR4GKPn3b68vDyNbqs1twvLMGowduxY/OMf\n/8DJkydbPJrYFvJGIi8vjzeN4zi4u7sjNjYWly9fRkREBDIyMnDy5EkAz8aELCsrg7u7u+BL3vj2\n69cPDQ0NuHz5cot55Dnaq2PMMOoiH8xe1cDXrV3GrVu3kJaWJjj9xx9/RHFxMV555RVFmbzTKNTB\nfPToEe7fvy9480NbFBcXIyUlBf3793+ha/SESCQSLF26FEeOHOHd1NZUZWUlUlNTMX36dOzbt0/p\ntXfvXlhYWDR7Uwvw7KhiXV2d4JFHV1dXGBgY4Msvv2zzdqmTjY0NtLW1ee2z/FS0/NS03P3791FR\nUaFUNmDAADx69EhlOy0/mtqnTx+UlJSgqqpKaf7mfsjk5+drdFvNOorM397WrVuxZs0azJkzp93W\n8Y9//AP6+vq8hujBgwe8uvIGQf7klODgYBQVFQlee1NVVaW4o8/LywtdunTB2rVrW/zFKj+losm/\nUpn/LUeOHBG8g1c+tJOqJ3y0RmRkJExNTbFs2TLe008KCgoQEREBsVisNCyVi4sLTExMsG3bNt7+\n9Omnn6KhoaHVT2RqjXv37uHNN99EVVUVtm/f/sLLETotHB4eDgMDA2zcuLHZeX/44Qc8efIEYWFh\nCAgIUHoFBgbCy8sL+/fvb/ZOaxsbG8yePRtffvkl73S/hYUFli9fjvPnz2PdunWC7VRHH00Enh3B\ntrGx4T26b/z48TAyMsK2bduUyoVOqwcHB+PMmTNIT0/nTauoqFA8bWbq1Kmora1Vas8bGhpU/s3v\n3r2LqqoqjW6r2aln5m/Px8dHMc5YY0IN1u3btwVHyDcyMoKvr6/KdcjHMjt27JjSReVRUVE4ffo0\npk6dCktLS2RnZyMxMRG9e/fG2LFjATy7iH3atGlYsGABTpw4gTFjxqC+vh5Xr17F3r17kZ6eDicn\nJ1hZWWHNmjV477334OrqCn9/f+jp6eHChQuwtLRUuvj6+PHjsLOz0+jGh/nfsmzZMjx8+BC+vr4Y\nMGAAysvL8dNPP+HMmTMYPHgw7ylKz0MsFmP37t2YM2cOnJ2dMX36dNjZ2eHq1atITEwEEUEmkyk9\nwcPMzAzR0dFYtGgRxo0bB29vbxgYGCAzMxN79uxBUFCQ4CnY48ePCw7H4u/vj0GDBgH4v3aEiFBc\nXIzc3Fzs27cPNTU1WLt2reDpz2vXrgm2PRKJBBMnTlS8F2q3xGIxXn/9dWzfvh1//vkn7wYYOZlM\nBnNzc4wZM0Zwuo+PD+Lj45GWlgZ/f3/BOgCwatUq7Nq1C9euXVNss9zy5ctx9epVrF69GqmpqYpH\n5lVUVOA///kP0tLSBG+YuXDhguDNS25uboo72isqKiCTyQQ/g9mzZ6vMCzxrZ7/77jvU1dUp7rI3\nNTXFe++9h8jISHh5eWHKlCn473//i8zMTJibmyutJzw8HHv37oWXlxdCQkLg5OSEyspKXLp0Cfv3\n70dBQQHEYjE8PT0xbtw4vPvuu8jNzcWAAQNw8OBBRUeyaUf/+PHj0NbWhpeXV7P5O1WHD/HNMM/h\n7bffJpFIJDhN1ZNZRCKR0lMbhEyYMIE3yr+1tTWJRCLiOI73kkqlLWa9cOECcRxH58+fV5RlZGSQ\nn58fWVpakp6eHllZWdGsWbMoNzeXN/+XX35JY8aMIVNTUxKLxeTs7EzR0dH0119/KdVLTU2l8ePH\nk5mZGYnFYnJzc6OffvpJMf3hw4fUtWtXio+PbzEzw3SUI0eO0Jtvvkl2dnZkZGREJiYmNGTIEIqM\njKTy8nKlutbW1s0+mUXVPl5YWEihoaHk6OhIXbt2JUdHR5o3bx7dvn1bZa6jR4+Sh4cHWVhYkKmp\nKY0aNYq2bt3Kqydvb4TaCJFIRDKZTJFdXkdbW5ukUim5u7tTeHg4FRYWCmZQtVyO45SeDhMSEkJG\nRkaCy8jLyyNtbW0KCQkRnH737l3S0dGhuXPnqvwsqqqqyNDQkAIDA4no2ZNZRCIR/frrr7y6ISEh\nxHGcyqelpKSkUGBgIA0cOJAMDAyof//+5O3tTUlJSa3efpFIROvXryeiZ222qs9I1XdEY0VFRaSr\nq0vJycm8aZ988gm99NJL1L17dwoICKDCwkLBJ7PU1dXRhx9+SM7OzmRkZETdu3ensWPHUlxcHNXW\n1irqVVZWUmhoKFlaWpJUKqW3336bfvvtN+I4jtLS0pSW6erqSrNmzWoxf2fiiDrhODDD/E2NHz8e\n/fr1w1dffdVpGT7//HNERUWhsLAQurq6nZaDYRhGk8ydOxdFRUWKO7A7UkpKCgICApCVlQUHBwcA\nQHZ2NgYNGoRff/0Vjo6OHZ6ptVhHkWHU6Mcff8TMmTNRXFwMIyOjTsng6OgIPz8/fPDBB52yfoZh\nGE106dIlODo64tq1a80OV9NW1dXVSsPjyO+Yzs7ORkFBAXR0dAAAS5cuRVZWVos3IXU21lFkGIZh\nGIZRk7feegvV1dUYNWoUampqcODAAZw5cwbbtm1DWFhYZ8d7buxmFoZhGIZhGDXx8PBAbGysYmD0\nQYMGISEhQeXYlZqOHVFkGIZhGIZhBLFxFBmGYRiGYRhBrKPIMAzDMAzDCGIdRYZhGIZhGEYQ6ygy\nDMMwDMMwglhHkWEYhmEYhhHEOooMwzAMwzCMINZRZBiGYRiGYQSxjiLDMAzDMAwjiHUUGYZhGIZh\nGEGso8gwDMMwDMMIYh1FhmEYhmEYRtD/A7UFzXplR9akAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x111a6ba10>"
]
}
],
"prompt_number": 11
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# re-run in a curl field using NF torques"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"aparams['B'] = BFF # curl FF\n",
"aparams['Ades'], aparams['AdesD'], aparams['AdesT'] = A, Ad, t\n",
"aparams['Qin'], aparams['QinT'] = QNF, t\n",
"state = odeint(forward_dynamics, state0, t, args=(aparams,))\n",
"Hsim,Esim = joints_to_hand(state,aparams)\n",
"plot_trajectory(t,Hsim,state[:,[0,1]],[H1,H2])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAo4AAAHACAYAAAAstOlhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDMMwDMM0COs4MgzDMAzDMA3y/wDS5X1O5tSzQwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1119cbdd0>"
]
}
],
"prompt_number": 12
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# re-run in a curl field using curl field torques"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"aparams['B'] = BFF # curl FF\n",
"QFF = inverse_dynamics(A,Ad,Add,aparams)\n",
"plot(t,QNF)\n",
"plot(t,QFF,'--')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "pyout",
"prompt_number": 13,
"text": [
"[<matplotlib.lines.Line2D at 0x111a6e6d0>,\n",
" <matplotlib.lines.Line2D at 0x111afa250>]"
]
},
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAm0AAAGmCAYAAAAuzLNUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x111a6ee50>"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"aparams['B'] = BFF # curl FF\n",
"aparams['Ades'], aparams['AdesD'], aparams['AdesT'] = A, Ad, t\n",
"aparams['Qin'], aparams['QinT'] = QFF, t\n",
"state = odeint(forward_dynamics, state0, t, args=(aparams,))\n",
"Hsim,Esim = joints_to_hand(state,aparams)\n",
"plot_trajectory(t,Hsim,state[:,[0,1]],[H1,H2])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAooAAAHACAYAAAAlX0kbAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x111b2b5d0>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# re-run in a null field using curl field torques (catch-trial)"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"aparams['B'] = BNF # curl FF\n",
"aparams['Ades'], aparams['AdesD'], aparams['AdesT'] = A, Ad, t\n",
"aparams['Qin'], aparams['QinT'] = QFF, t\n",
"state = odeint(forward_dynamics, state0, t, args=(aparams,))\n",
"Hsim,Esim = joints_to_hand(state,aparams)\n",
"plot_trajectory(t,Hsim,state[:,[0,1]],[H1,H2])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAo4AAAHACAYAAAAstOlhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
"text": [
"<matplotlib.figure.Figure at 0x111afacd0>"
]
}
],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 15
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment