diff --git a/Index.ipynb b/Index.ipynb index 322904227bac5636cc318edbf94bbc33bb818380..71811ac69027637781fc85cc6077c09aae3af6f0 100644 --- a/Index.ipynb +++ b/Index.ipynb @@ -4,26 +4,46 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Introduction to JupyterHub\n", + "# Systemtheorie 2 und JupyterHub\n", "\n", - "## 1st Step\n", - "Login in the page jupyter.rwth-aachen.de/\n", - "Please use your RWTH account\n", + "## Wie greife ich auf JupyterHub zu?\n", + "Loggen Sie sich unter <a href=\"https://jupyter.rwth-aachen.de/hub/spawn?profile=sys2\"> https://jupyter.rwth-aachen.de/hub/spawn?profile=sys2 </a> mit Ihrem RWTH-Account ein.\n", "\n", - "## 2.step\n", - "Select the system theory 2 profile\n", - " \n", - "## 3. Step\n", - "Direct into the folder in which we provide you with existing notebooks for your lecture.\n", + "## Wie nutze ich JupyterHub?\n", + "Auf der Weboberfläche sollten auf der linken Seite verschiedene Ordner angezeigt werden. Unter dem Pfad \"lecture-tutorials/notebooks\" sind Dateien (Notebooks) zum Thema \"Systemtheorie 2\".\n", "\n", - "## 4. Step\n", - "The notebooks for each lecture are mainly based on the octave kernel. A switch to scilab or python kernels could be needed but is indicated within the respective noteooks. You can switch the kernel on the top right corner of your browser window." + "In diesen Notebooks können Beispiele in Form von Code-Blöcken ausgeführt werden. Meist geben diese einen statischen Graphen aus. Jedoch gibt es auch oft interaktive Elemente, bei denen Werte über einen Schieberegler oder Knopf verändert werden können.\n", + "\n", + "Die Code-Blöcke können im Notebook geändert werden und diese Änderung kann unter dem Unterpunkt \"Git\" auch wieder rückgängig gemacht werden.\n", + "\n", + "\"V01_zeitdiskrete_systeme.ipynb\" bis \"V10_kalmanfilter_demonstration.ipynb\" sind Notebooks zu den Themen der Vorlesung. In \"Sandkasten.ipynb\" kann man beliebige Funktionen untersuchen, eigene Simulationen erstellen und Verschiedenes ausprobieren.\n", + "\n", + "### Ausführen der Code-Blöcke in den Folien:\n", + "<img src=\"introduction_pictures/run.png\"/>\n", + "\n", + "### Beispiel eines interaktiven Elementes:\n", + "<img src=\"introduction_pictures/interact.png\"/>\n", + "\n", + "### Änderungen rückgängig machen:\n", + "<img src=\"introduction_pictures/git.png\"/>\n", + "<img src=\"introduction_pictures/discard_changes.png\"/>\n", + "\n", + "## Python und Matlab\n", + "Ältere Notebooks, welche Matlab-Code verwenden, können unter dem Pfad \"lecture-tutorials/notebooks/alt\" gefunden werden.Aber auch andere Notebooks können Matlab-Code beinhalten.Wenn man zwischen verschiedenen Notebooks mit Python-Code und Matlab-Code wechselt, muss man den Kernel womöglichmanuell ändern (Octave Kernel für Matlab):\n", + "### Ändern des Kernels:\n", + "<img src=\"introduction_pictures/switch_kernel.png\"/>\n", + "\n", + "## Fehlerbehebung\n", + "\n", + "Sollte es zu Fehlern kommen oder das System in eine Endlosschleife geraten, so kann man unter dem Menü-Punkt \"Kernel\" >> \"Restart Kernel\" die aktuellen Berechnungen und gespeicherten Variablen zurücksetzen.\n", + "\n", + "Sollten die Notebooks oder zugehöriger Python-Code fehlerhaft sein, können Sie dies gerne melden." ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -37,9 +57,9 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.6" + "version": "3.9.6" } }, "nbformat": 4, - "nbformat_minor": 2 + "nbformat_minor": 4 } diff --git a/notebooks/Octsim/@FIR/untitled.txt b/introduction_pictures/.gitkeep similarity index 100% rename from notebooks/Octsim/@FIR/untitled.txt rename to introduction_pictures/.gitkeep diff --git a/introduction_pictures/discard_changes.png 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diff --git a/introduction_pictures/switch_kernel.png b/introduction_pictures/switch_kernel.png new file mode 100644 index 0000000000000000000000000000000000000000..fedb546447fd24a61499b14e639f50754a48721a Binary files /dev/null and b/introduction_pictures/switch_kernel.png differ diff --git a/notebooks/Pysim/.gitkeep b/notebooks/Pysim/.gitkeep new file mode 100644 index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 diff --git a/notebooks/Pysim/Block.py b/notebooks/Pysim/Block.py new file mode 100644 index 0000000000000000000000000000000000000000..9c2777803e91ed72dd9419fcfe28d9352342dc6e --- /dev/null +++ b/notebooks/Pysim/Block.py @@ -0,0 +1,570 @@ +import numpy +sin = numpy.sin +from random import gauss + +######################################################################### +#### Abstract class for continuous time block in a block diagram ######## +######################################################################### + +class Block(object): + def __init__(self): + self.ninput = 0 + self.noutput = 0 + self.nstate = 0 + self.nparam = 0 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.x = numpy.zeros((self.nstate)) + self.xo = numpy.zeros((self.nstate)) + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + + def Init(self,initvalue): + self.x = initvalue + + def ChangeParameters(self,value): + value = 0 + + + def Reset(self): + self.x = zeros(self.nstate) + + def GetInput(self,sc): + for i in range(0,self.ninput): + self.u[i]=sc.flows[self.inpos[i]] + + def WriteOutput(self,sc): + for i in range(0,self.noutput): + sc.flows[self.outpos[i]]=self.y[i] + + def Step(self,t,dt): + for i in range(0,self.nstate): + self.x[i] = self.x[i] + + def cdxdt(self,x,t): + dxdt = numpy.zeros((self.nstate)) + return dxdt + + def updatestate(self,t,dt): + dx1 = self.cdxdt(self.x,t) + xp = numpy.zeros((self.nstate)) + for i in range(0,self.nstate): + xp[i] = self.x[i]+dx1[i]*dt + dx2 = self.cdxdt(xp,t+dt) + for i in range(0,self.nstate): + self.x[i] = self.x[i]+(dx1[i]+dx2[i])/2*dt + + + +######################################################################### +################### Step function as a signal source #################### +######################################################################### + +class StepSource(Block): + def __init__(self,out,startv,endv,ts): + super(StepSource, self).__init__() + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.startv = startv + self.endv = endv + self.ts = ts + self.y = numpy.zeros((self.noutput)) + self.y[0] = startv + + def Step(self,t,dt): + if t>=self.ts: + self.y[0] = self.endv + +######################################################################### +####################### Sinusoidal signal source ######################## +######################################################################### + +class SinusoidalSignalSource(Block): + def __init__(self,out,startv,Am,om,phi): + super(SinusoidalSignalSource, self).__init__() + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.Am = Am + self.om = om + self.phi = phi + self.y = numpy.zeros((self.noutput)) + self.y[0] = startv + + def Step(self,t,dt): + self.y[0] = self.Am*sin(self.om*t+self.phi) + + +######################################################################### +########################### Unknown wave source ######################### +######################################################################### + +class UnknownWaveSource(Block): + def __init__(self,out,startv,Am,om,phi): + super(UnknownWaveSource, self).__init__() + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.Am = Am + self.om = om + self.phi = phi + self.y = numpy.zeros((self.noutput)) + self.y[0] = startv + + def Step(self,t,dt): + #Alternativ: self.y[0] = self.Am*sin(otp)+0.1*self.Am*sin(otp*0.1) + opt = (self.om*t)+self.phi + self.y[0] = self.Am*(sin(opt)-0.3*(sin(opt))**2+0.2*(sin(opt-1))**2) + +######################################################################### +################################## Noise ################################ +######################################################################### + +class Noise(Block): + def __init__(self,inp,out,sigma): + super(Noise, self).__init__() + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.ninput = 1 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.inpos[0] = inp + self.sigma = sigma + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + + def Step(self,t,dt): + noise = numpy.array([gauss(0,self.sigma)]) + self.y = self.u + noise + +######################################################################### +######################### Square signal source ########################## +######################################################################### + +class SquareSignal(Block): + def __init__(self,out,hi,lo,f,duty): + super(SquareSignal, self).__init__() + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.hi = hi + self.lo = lo + self.f = f + self.Ts = 1/f + self.duty = duty + self.y = numpy.zeros((self.noutput)) + + + def Step(self,t,dt): + d = t/self.Ts-int(t/self.Ts); + if d > self.duty: + self.y[0] = self.lo; + else: + self.y[0] = self.hi; + + + +######################################################################### +##################### Constant as a signal source ####################### +######################################################################### + +class Constant(Block): + def __init__(self,out,value): + super(Constant, self).__init__() + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.y = numpy.zeros((self.noutput)) + self.y[0] = value + + +######################################################################### +########################## Division operation ########################## +######################################################################### + +class Division(Block): + def __init__(self,in1,in2,out): + super(Division, self).__init__() + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.ninput = 2 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.inpos[0] = in1 + self.inpos[1] = in2 + self.y[0] = 0 + + def Step(self,t,dt): + self.y[0] = self.u[0]/self.u[1] + + + +######################################################################### +########################## Product operation ########################### +######################################################################### + +class Product(Block): + def __init__(self,in1,in2,out): + super(Product, self).__init__() + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.ninput = 2 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.inpos[0] = in1 + self.inpos[1] = in2 + self.y = numpy.zeros((self.noutput)) + self.y[0] = 0 + + def Step(self,t,dt): + self.y[0] = self.u[0]*self.u[1] + + +######################################################################### +############################# Sum operation ############################ +######################################################################### + +class Sum(Block): + def __init__(self,in1,in2,out,sign1,sign2): + super(Sum, self).__init__() + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.ninput = 2 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.inpos[0] = in1 + self.inpos[1] = in2 + self.sign1 = sign1 + self.sign2 = sign2 + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + self.y[0] = 0 + + def Step(self,t,dt): + self.y[0] = self.u[0]*self.sign1+self.u[1]*self.sign2 + +######################################################################### +############################## Saturation ############################## +######################################################################### + +class Saturation(Block): + def __init__(self,inp,out,minout,maxout): + super(Saturation, self).__init__() + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.ninput = 1 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.inpos[0] = inp + self.minout = minout + self.maxout = maxout + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + + + def Step(self,t,dt): + self.y[0] = self.u[0] + if self.y[0] > self.maxout: + self.y[0] = self.maxout + if self.y[0] < self.minout: + self.y[0] = self.minout + + def ChangeParameters(self,value): + self.minout = value[0] + self.maxout = value[1] + + +######################################################################### +############################# Gain block ############################### +######################################################################### + +class Gain(Block): + def __init__(self,inp,out,k): + super(Gain, self).__init__() + self.ninput = len(inp) + self.noutput = len(out) + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + for i in range(0,self.ninput): + self.inpos[i] = inp[i] + for i in range(0,self.noutput): + self.outpos[i] = out[i] + self.k = numpy.zeros((self.noutput,self.ninput)) + self.k = k + + def Step(self,t,dt): + self.y = self.k.dot(self.u.transpose()) + + def ChangeParameters(self,value): + self.k = value + + +######################################################################### +########################## PI Controller ############################### +######################################################################### + +class PI(Block): + def __init__(self,inp,out,Kp,Ki,ini): + super(PI, self).__init__() + self.ninput = 1 + self.noutput = 1 + self.nstate = 1 + self.A = 0 + self.B = 1 + self.C = Ki + self.D = Kp + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.x = numpy.zeros((self.nstate)) + self.xo = numpy.zeros((self.nstate)) + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + self.inpos[0] = inp + self.outpos[0] = out + self.x[0] = ini + self.xo[0] = ini + + def Step(self,t,dt): + self.y[0] = self.C*self.x[0]+self.D*self.u[0] + self.updatestate(t,dt) + + def Reset(self): + self.x[0] = xo[0] + + def cdxdt(self,x,t): + dxdt = numpy.zeros((self.nstate)) + dxdt[0] = self.B*u[0] + return dxdt + + def ChangeParameters(self,value): + self.C = np.array([value[1]]) + self.D = np.array([value[0]]) + + +######################################################################### +########################## PID Controller ############################## +######################################################################### + +class PID(Block): + def __init__(self,inp,out,Kp,Ki,Kd,ini): + super(PID, self).__init__() + self.ninput = 1 + self.noutput = 1 + self.nstate = 1 + self.B = 1 + self.C = Ki + self.D = Kp + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.x = numpy.zeros((self.nstate)) + self.xo = numpy.zeros((self.nstate)) + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + self.inpos[0] = inp + self.outpos[0] = out + self.x[0] = ini + self.xo[0] = ini + self.olderr = 0 + self.Kd = Kd + + def Step(self,t,dt): + self.y[0] = self.C*self.x[0]+self.D*self.u[0] + self.y[0] = self.y[0]+self.Kd*(self.u[0]-self.olderr)/dt + self.olderr = self.u[0] + self.updatestate(t,dt) + + def Reset(self): + self.x[0] = xo[0] + self.olderr = 0; + + def cdxdt(self,x,t): + dxdt = numpy.zeros((self.nstate)) + dxdt[0] = self.B*self.u[0] + return dxdt + + def ChangeParameters(self,value): + self.C = value[1] + self.D = value[0] + self.Kd = value[2] + + + +######################################################################### +############################# Integrator ################################ +######################################################################### + +class Integrator(Block): + def __init__(self,inp,out,ini): + super(Integrator, self).__init__() + self.ninput = 1 + self.noutput = 1 + self.nstate = 1 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.x = numpy.zeros((self.nstate)) + self.xo = numpy.zeros((self.nstate)) + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + self.inpos[0] = inp + self.outpos[0] = out + self.x[0] = ini + self.xo[0] = ini + + def Step(self,t,dt): + self.y[0] = self.x[0] + self.updatestate(t,dt) + + def Reset(self): + self.x[0] = xo[0] + + def cdxdt(self,x,t): + dxdt = numpy.zeros((self.nstate)) + dxdt[0] = self.u[0] + return dxdt + + +######################################################################### +################################ Not #################################### +######################################################################### + +class Not(Block): + def __init__(self,inp,out): + super(Not, self).__init__() + self.ninput = 1 + self.noutput = 1 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + self.inpos[0] = inp + self.outpos[0] = out + + def Step(self,t,dt): + if self.u[0] == 0: + self.y[0] = 1 + else: + self.y[0] = 0 + + +######################################################################### +########################## State Space ################################# +######################################################################### + +class StateSpace(Block): + def __init__(self,inp,out,A,B,C,D,xo): + super(StateSpace, self).__init__() + self.ninput = len(inp) + self.noutput = len(out) + self.nstate = len(A) + self.A = A + self.B = B + self.C = C + self.D = D + self.inpos = inp + self.outpos = out + self.x = numpy.zeros((self.nstate)) + self.xo = numpy.zeros((self.nstate)) + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + for i in range(0,self.nstate): + self.x[i] = xo[i] + self.xo[i] = xo[i] + + + def Step(self,t,dt): + for i in range(0,self.noutput): + self.y[i] = 0 + for j in range(0,self.nstate): + if self.C.ndim == 1: + self.y[i] = self.y[i] + self.C[j]*self.x[j] + elif self.C.ndim == 2: + #prevent [ValueError: setting an array element with a sequence.] for 2 dimensional self.C: + self.y[i] = self.y[i] + self.C[i][j]*self.x[j] + else: + print("WARNING: Can not handle self.C with dimension "+str(self.C.ndim)) + for j in range(0,self.ninput): + if self.D.ndim == 1: + self.y[i] = self.y[i] + self.D[j]*self.u[j] + elif self.D.ndim == 2: + #prevent [ValueError: setting an array element with a sequence.] for 2 dimensional self.C: + self.y[i] = self.y[i] + self.D[i][j]*self.u[j] + else: + print("WARNING: Can not handle self.D with dimension "+str(self.C.ndim)) + self.updatestate(t,dt) + + def Reset(self): + for i in range(0,self.nstate): + self.x[i] = xo[i] + + def cdxdt(self,x,t): + dxdt = numpy.matmul(self.B,self.u.T) + numpy.matmul(self.A,self.x) + return dxdt + + +######################################################################### +####################### Transfer Function ############################## +######################################################################### + +class TransferFunction(Block): + def __init__(self,inp,out,num,den): + super(TransferFunction, self).__init__() + self.ninput = 1 + self.noutput = 1 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.inpos[0] = inp + self.outpos[0] = out + self.nstate = len(den)-1 + denord = len(den) + numord = len(num) + self.A = numpy.zeros((self.nstate,self.nstate)) + self.B = numpy.zeros((self.nstate)) + self.C = numpy.zeros((self.nstate)) + self.D = 0 + scale = den[0]; + for i in range(0,denord): + den[i]= den[i]/scale + for i in range(0,numord): + num[i]= num[i]/scale + if numord==denord: + self.D = num[0] + for i in range(0,numord-1): + self.C[i]=num[numord-i-1]-num[0]*den[numord-i-1] + else: + for i in range(0,numord): + self.C[i]=num[numord-i-1] + for i in range(0,self.nstate): + self.A[self.nstate-1,i] = -den[denord-i-1] + for i in range(0,self.nstate-1): + self.A[i,i+1]=1 + self.B[self.nstate-1] = 1 + self.x = numpy.zeros((self.nstate)) + self.xo = numpy.zeros((self.nstate)) + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + for i in range(0,self.nstate): + self.x[i] = 0 + self.xo[i] = 0 + + def Step(self,t,dt): + self.y[0] = self.D*self.u[0] + for i in range (0,self.nstate): + self.y[0] = self.y[0]+self.C[i]*self.x[i] + self.updatestate(t,dt) + + def Reset(self): + for i in range(0,self.nstate): + self.x[i] = xo[i] + + def cdxdt(self,x,t): + dxdt = numpy.zeros((self.nstate)) + for i in range (0,self.nstate): + dxdt[i] = self.B[i]*self.u[0] + for j in range (0,self.nstate): + dxdt[i] = dxdt[i] + self.A[i,j]*x[j] + return dxdt + + diff --git a/notebooks/Pysim/Circuit.py b/notebooks/Pysim/Circuit.py new file mode 100644 index 0000000000000000000000000000000000000000..6594a0e1b804c5e59a5d11ed4c7d3b1f34b3300c --- /dev/null +++ b/notebooks/Pysim/Circuit.py @@ -0,0 +1,79 @@ +# -*- coding: utf-8 -*- +import numpy + +class LinProb(object): + def __init__(self, nodeNum): + self.G = numpy.zeros((nodeNum,nodeNum), dtype=numpy.complex) + self.b = numpy.zeros((nodeNum,1), dtype=numpy.complex) + + def getSize(self): + return self.G.shape[0] + + def resetbVector(self): + self.b = numpy.zeros((self.b.shape[0],1), dtype=numpy.complex) + + def solve(self): + result = numpy.dot(numpy.linalg.inv(self.G), self.b) + return result + + def show(self): + print(self.G) + print(self.b) + +class Circuit(object): + def __init__(self, nnode): + self.n = nnode + self.NetList = list() + + def addComponent(self,h): + print("adding component" + str(h)) + self.nelements = len(self.NetList)+1 + self.NetList.append(h) + + def initialize(self,dt): + self.Pn = LinProb(self.n) + self.Pn.show() + self.nelements = len(self.NetList) + print("number of components " + str(self.nelements)) + for i in range(0,self.nelements): + print("initializing component " + str(i+1)) + self.NetList[i].initialize(self.Pn,dt) + + return self.Pn + + def initializeDp(self,dt,om): + self.Pn = LinProb(self.n) + self.nelements = len(self.NetList) + for i in range(0,self.nelements): + self.NetList[i].initialize(self.Pn,dt,om) + + def solveLinTrans(self,tini,tfin,dt): + print("show problem") + self.Pn.show() + t = tini + k = 0 + + while t < tfin: + #print("solving for t = " + str(t)) + self.Pn.resetbVector() + + for i in range(0,self.nelements): + self.Pn = self.NetList[i].step(self.Pn,dt,t) + + if t == 0: + self.vout = self.Pn.solve() + else: + self.vout = numpy.append(self.vout, self.Pn.solve(), 1) + + for i in range(0,self.nelements): + self.NetList[i].postStep(self.vout[:,k],dt) + + t = t+dt + k = k+1 + + return self.vout + + + + + \ No newline at end of file diff --git a/notebooks/Pysim/DTBlock.py b/notebooks/Pysim/DTBlock.py new file mode 100644 index 0000000000000000000000000000000000000000..70ef26502e9154e4dd82a33a0d469d13d981de29 --- /dev/null +++ b/notebooks/Pysim/DTBlock.py @@ -0,0 +1,395 @@ +import numpy +from Block import Block +inv = numpy.linalg.inv +dot = numpy.dot + +######################################################################### +#### Abstract class for discrete time block in a block diagram ######## +######################################################################### + +class DTBlock(Block): + def __init__(self): + self.ninput = 0 + self.noutput = 0 + self.nstate = 0 + self.nparam = 0 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.x = numpy.zeros((self.nstate)) + self.xo = numpy.zeros((self.nstate)) + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + self.Ts = 0.001 + self.lastt = -10 + + def Step(self,t,dt): + if t-self.lastt >= self.Ts: + self.updatediscrete() + self.lastt = t + + def updatediscrete(self): + self.y[0] = 0 + + def Reset(self): + self.lastt = -10; + +######################################################################### +################################ FIR #################################### +######################################################################### + +class FIR(DTBlock): + def __init__(self,inp,out,a,ts): + super(FIR, self).__init__() + self.ninput = 1 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.inpos[0] = inp + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.Ts = ts + self.pt = len(a) + self.a = numpy.zeros((self.pt)) + self.a = a + self.buf = numpy.zeros((self.pt)) + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + self.y[0] = 0 + + def updatediscrete(self): + for i in range (self.pt-1,0,-1): + self.buf[i] = self.buf[i-1] + self.buf[0] = self.u[0] + self.y[0] = 0 + for i in range (0,self.pt): + self.y[0] = self.y[0]+self.a[i]*self.buf[i] + + def Reset(self): + self.buf = zeros(self.pt,1) + self.lastt = -10 + + + +######################################################################### +#########################Discrete Integral############################### +######################################################################### + +class DTIntegral(DTBlock): + def __init__(self,inp,out,ts,xo): + super(DTIntegral, self).__init__() + self.ninput = 1 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.inpos[0] = inp + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.Ts = ts + self.xo = xo + self.x = xo + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + self.y[0] = xo + + def updatediscrete(self): + self.y[0] = self.x + self.x = self.x + self.u[0]*self.Ts + + def Reset(self): + self.x = self.xo + + + +######################################################################### +######################### ZOH ################################# +######################################################################### + +class ZOH(DTBlock): + def __init__(self,inp,out,ts): + super(ZOH, self).__init__() + self.ninput = 1 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.inpos[0] = inp + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.Ts = ts + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + self.y[0] = 0 + + def updatediscrete(self): + self.y[0] = self.u[0] + + + + +######################################################################### +####################### Delay ################################# +######################################################################### + +class DTDelay(DTBlock): + def __init__(self,inp,out,init,ts): + super(DTDelay, self).__init__() + self.ninput = 1 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.inpos[0] = inp + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.Ts = ts + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + self.y[0] = 0 + self.oldv = init + self.init = init + + def updatediscrete(self): + self.y[0] = self.oldv + self.oldv = self.u[0] + + def ChangeParameters(self,value): + self.Ts = value + + def Reset(self): + self.oldv = self.init + + + + + +######################################################################### +################################ IIR #################################### +######################################################################### + +class IIR(DTBlock): + def __init__(self,inp,out,a,b,ts): + super(IIR, self).__init__() + self.ninput = 1 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.inpos[0] = inp + self.noutput = 1 + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.outpos[0] = out + self.Ts = ts + self.pn = len(a) + self.a = numpy.zeros((self.pn)) + self.a = a + self.pd = len(b) + self.b = numpy.zeros((self.pd)) + self.b = b + self.bufn = numpy.zeros((self.pn)) + self.bufd = numpy.zeros((self.pd)) + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + self.y[0] = 0 + + def updatediscrete(self): + for i in range (self.pn-1,0,-1): + self.bufn[i] = self.bufn[i-1] + self.bufn[0] = self.u[0] + self.y[0] = 0 + for i in range (0,self.pn): + self.y[0] = self.y[0]+self.a[i]*self.bufn[i] + for i in range (self.pd-1,0,-1): + self.bufd[i] = self.bufd[i-1] + self.bufd[0] = self.y[0] + for i in range (0,self.pd): + self.y[0] = self.y[0]-self.b[i]*self.bufd[i] + + + def Reset(self): + self.bufn = zeros(self.pn,1) + self.bufd = zeros(self.pd,1) + self.lastt = -10 + + + + +######################################################################### +############### Discrete Time Transfer Function ######################## +######################################################################### + +class DTTransferFunction(DTBlock): + def __init__(self,inp,out,num,den,Ts): + super(DTTransferFunction, self).__init__() + self.Ts = Ts + self.ninput = 1 + self.noutput = 1 + self.inpos = numpy.zeros((self.ninput),dtype=numpy.int) + self.outpos = numpy.zeros((self.noutput),dtype=numpy.int) + self.inpos[0] = inp + self.outpos[0] = out + self.nstate = len(den)-1 + denord = len(den) + numord = len(num) + self.A = numpy.zeros((self.nstate,self.nstate)) + self.B = numpy.zeros((self.nstate)) + self.C = numpy.zeros((self.nstate)) + self.D = 0 + scale = den[0]; + for i in range(0,denord): + den[i]= den[i]/scale + for i in range(0,numord): + num[i]= num[i]/scale + if numord==denord: + self.D = num[0] + for i in range(0,numord-1): + self.C[i]=num[numord-i-1]-num[0]*den[numord-i-1] + else: + for i in range(0,numord): + self.C[i]=num[numord-i-1] + for i in range(0,self.nstate): + self.A[self.nstate-1,i] = -den[denord-i-1] + for i in range(0,self.nstate-1): + self.A[i,i+1]=1 + self.B[self.nstate-1] = 1 + self.x = numpy.zeros((self.nstate)) + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + for i in range(0,self.nstate): + self.x[i] = 0 + + def updatediscrete(self): + self.y[0] = self.D*self.u[0] + for i in range (0,self.nstate): + self.y[0] = self.y[0]+self.C[i]*self.x[i] + xn = numpy.zeros((self.nstate)) + for i in range (0,self.nstate): + xn[i] = self.B[i]*self.u[0] + for j in range (0,self.nstate): + xn[i] = xn[i] + self.A[i,j]*self.x[j] + for i in range (0,self.nstate): + self.x[i] = xn[i] + + + def Reset(self): + for i in range(0,self.nstate): + self.x[i] = 0 + + + +######################################################################### +########################### DT State Space ############################# +######################################################################### + +class DTStateSpace(DTBlock): + def __init__(self,inp,out,A,B,C,D,xo,Ts): + super(DTStateSpace, self).__init__() + self.Ts = Ts + self.ninput = len(inp) + self.noutput = len(out) + self.nstate = len(A) + self.A = A + self.B = B + self.C = C + self.D = D + self.inpos = inp + self.outpos = out + self.x = numpy.zeros((self.nstate)) + self.xo = numpy.zeros((self.nstate)) + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + for i in range(0,self.nstate): + self.x[i] = xo[i] + self.xo[i] = xo[i] + + def updatediscrete(self): + for i in range(0,self.noutput): + self.y[i] = 0 + for j in range(0,self.nstate): + if self.C.ndim == 1: + self.y[i] = self.y[i] + self.C[j]*self.x[j] + elif self.C.ndim == 2: + #prevent [ValueError: setting an array element with a sequence.] for 2 dimensional self.C: + self.y[i] = self.y[i] + self.C[i][j]*self.x[j] + else: + print("WARNING: Can not handle self.C with dimension "+str(self.C.ndim)) + for j in range(0,self.ninput): + if self.D.ndim == 1: + self.y[i] = self.y[i] + self.D[j]*self.u[j] + elif self.D.ndim == 2: + #prevent [ValueError: setting an array element with a sequence.] for 2 dimensional self.C: + self.y[i] = self.y[i] + self.D[i][j]*self.u[j] + else: + print("WARNING: Can not handle self.D with dimension "+str(self.C.ndim)) + self.x = numpy.matmul(self.B,self.u.T) + numpy.matmul(self.A,self.x) + + + + def Reset(self): + for i in range(0,self.nstate): + self.x[i] = 0 + + + + +######################################################################### +########################### Kalman-Filter ############################## +######################################################################### + +class KalmanFilter(DTBlock): + def __init__(self,inp,out,nin,nmeas,F,G,C,Q,R,xo,Pk,Ts): + self.F = F + self.G = G + self.C = C + self.Q = Q + self.R = R + self.x = xo + self.Pk = Pk + self.Ts = Ts + self.nin = nin + self.nmeas = nmeas + self.ninput = len(inp) + self.noutput = len(out) + self.inpos = inp; + self.outpos = out; + self.nstate = len(F); + self.u = numpy.zeros((self.ninput)) + self.y = numpy.zeros((self.noutput)) + self.lastt = -10 + + + def updatediscrete(self): + + uu = numpy.zeros((self.nstate)) + m = numpy.zeros((self.nstate)) + if (self.nin != 0): + for i in range(0,self.nin): + uu[i] = self.u[i]; + for i in range(0,self.nmeas): + m[i] = self.u[self.nin+i] + + # Zustandsvorhersage: + # x = F*x + G*u + self.x = dot(self.F,self.x)+dot(self.G,uu) + # Kovarianz der Zustandsvorhersage: + # Pk = F*P*F.T + Q + self.Pk = dot(self.F,dot(self.Pk,self.F.T)) + self.Q + + # Kovarianz der Innovation: + # S = C*Pk*C.T + R + S = dot(self.C, dot(self.Pk, self.C.T))+ self.R + + # Kalman Gain: + # Kk = Pk*self.C.T*inv(S) + Kk = dot(dot(self.Pk, self.C.T), inv(S)) + + # Messvorhersage: + # z = C*x + z = dot(self.C,self.x) + + # Innovation: + v = m - z + + # Kovarianzkorrektur: + # Pk = (I-(Kk*C))*Pk + self.Pk= dot((numpy.eye(self.nstate)-dot(Kk,self.C)),self.Pk) + + # Zustandskorrektur: + self.x = self.x+dot(Kk,v) + + # Widergabe des Zustandsvektors: + self.y = self.x + + def Reset(self): + self.x = xo + self.Pk = Pk diff --git a/notebooks/Pysim/RCComponents.py b/notebooks/Pysim/RCComponents.py new file mode 100644 index 0000000000000000000000000000000000000000..911251e31f797f45a82afb0e56d46cbd38eea6f0 --- /dev/null +++ b/notebooks/Pysim/RCComponents.py @@ -0,0 +1,171 @@ +# -*- coding: utf-8 -*- + +import numpy + +class RCComponent(object): + def __init__(self, p, n): + self.Pos = p + self.Neg = n + self.linear = 1 + self.hyin = 0 + self.hyout = 0 + + def applyMatrixStamp(self, P,dt): + return P + + def initialize(self, P,dt): + return P + + def step(self,P,dt,t): + return P + + def postStep(self,vsol,dt): + return vsol + +class Resistance(RCComponent): + def __init__(self,p,n,par): + super(Resistance, self).__init__(p,n) + self.r = par + if par > 0: + self.Gc = 1/par + else: + print("Error: Resistance value not correct") + + def initialize(self,P,dt): + print("initializing resistance") + return Resistance.applyMatrixStamp(self,P,dt) + + def applyMatrixStamp(self,P,dt): + if self.Pos > -1: + P.G[self.Pos,self.Pos] = P.G[self.Pos,self.Pos] + self.Gc + if self.Neg > -1: + P.G[self.Neg,self.Neg] = P.G[self.Neg,self.Neg] + self.Gc + if (self.Pos > -1) and (self.Neg > -1): + P.G[self.Pos,self.Neg] = P.G[self.Pos,self.Neg] - self.Gc + P.G[self.Neg,self.Pos] = P.G[self.Neg,self.Pos] - self.Gc + P.show() + return P + + +class Capacitor(RCComponent): + def __init__(self,p,n,par): + super(Capacitor, self).__init__(p,n) + self.C = par + self.Gl = 0 + + def initialize(self,P,dt): + print("initializing capacitor") + self.Bc = 0 + self.Vc = 0 + self.Ic = 0 + return Capacitor.applyMatrixStamp(self,P,dt) + + def applyMatrixStamp(self,P,dt): + self.Gc = 2*self.C/dt + if self.Pos > -1: + P.G[self.Pos,self.Pos] = P.G[self.Pos,self.Pos] + self.Gc + if self.Neg > -1: + P.G[self.Neg,self.Neg] = P.G[self.Neg,self.Neg] + self.Gc + if (self.Pos > -1) and (self.Neg > -1): + P.G[self.Pos,self.Neg] = P.G[self.Pos,self.Neg] - self.Gc + P.G[self.Neg,self.Pos] = P.G[self.Neg,self.Pos] - self.Gc + + P.show() + return P + + def step(self,P,dt,t): + self.Bc = self.Gc*self.Vc+self.Ic + if self.Pos > -1: + P.b[self.Pos] = P.b[self.Pos] + self.Bc + if self.Neg > -1: + P.b[self.Neg] = P.b[self.Neg] - self.Bc + return P + + def postStep(self,vsol,dt): + if self.Pos > -1: + if self.Neg > -1: + self.Vc = vsol[self.Pos] - vsol[self.Neg] + else: + self.Vc = vsol[self.Pos] + else: + self.Vc = -vsol[self.Neg]; + + self.Ic = self.Gc*self.Vc-self.Bc; + + +class Inductor(RCComponent): + def __init__(self,p,n,par): + super(Inductor, self).__init__(p,n) + self.L = par + + def initialize(self,P,dt): + print("initializing inductor") + self.Bl = 0 + self.Vl = 0 + self.Il = 0 + return Inductor.applyMatrixStamp(self,P,dt) + + def applyMatrixStamp(self,P,dt): + self.Gl = dt/(2*self.L) + if self.Pos > -1: + P.G[self.Pos,self.Pos] = P.G[self.Pos,self.Pos] + self.Gl + if self.Neg > -1: + P.G[self.Neg,self.Neg] = P.G[self.Neg,self.Neg] + self.Gl + if (self.Pos > -1) and (self.Neg > -1): + P.G[self.Pos,self.Neg] = P.G[self.Pos,self.Neg] - self.Gl + P.G[self.Neg,self.Pos] = P.G[self.Neg,self.Pos] - self.Gl + P.show() + return P + + def step(self,P,dt,t): + self.Bl = self.Gl*self.Vl+self.Il + if self.Pos > -1: + P.b[self.Pos] = P.b[self.Pos] - self.Bl + if self.Neg > -1: + P.b[self.Neg] = P.b[self.Neg] + self.Bl + return P + + def postStep(self,vsol,dt): + if self.Pos > -1: + if self.Neg > -1: + self.Vl = vsol[self.Pos] - vsol[self.Neg] + else: + self.Vl = vsol[self.Pos] + else: + self.Vl = -vsol[self.Neg]; + + self.Il = self.Gl*self.Vl+self.Bl; + +class IdealACVoltageSource(RCComponent): + def __init__(self,p,n,V,omega,phase): + super(IdealACVoltageSource, self).__init__(p,n) + self.Vs = V + self.om = omega + self.ph = phase + + def initialize(self,P,dt): + print("initializing ideal ac voltage source") + return IdealACVoltageSource.applyMatrixStamp(self,P,dt) + + def applyMatrixStamp(self,P,dt): + self.ntot = P.getSize() + self.possource = self.ntot + print("position source at " + str(self.possource)) + P.G = numpy.append(P.G, numpy.zeros((self.ntot,1), dtype=numpy.complex), 1) + P.G = numpy.append(P.G, numpy.zeros((1,self.ntot+1), dtype=numpy.complex), 0) + P.b = numpy.append(P.b, numpy.zeros((1,1), dtype=numpy.complex), 0) + + if self.Pos > -1: + P.G[self.possource,self.Pos] = 1 + P.G[self.Pos,self.possource] = 1 + if self.Neg > -1: + P.G[self.possource,self.Neg] = -1 + P.G[self.Neg,self.possource] = -1 + + P.show() + return P + + def step(self,P,dt,t): + P.b[self.possource,0] = self.Vs * numpy.sin(self.om*t+self.ph) + return P + \ No newline at end of file diff --git a/notebooks/Pysim/Schema.py b/notebooks/Pysim/Schema.py new file mode 100644 index 0000000000000000000000000000000000000000..11ea1c9f25b70f4bc5e559fb35fa1800da88eccf --- /dev/null +++ b/notebooks/Pysim/Schema.py @@ -0,0 +1,73 @@ +# -*- coding: utf-8 -*- +import numpy as np + + +class Schema(object): + def __init__(self, ti,tf,dt,numflows): + self.tini = ti + self.tfin = tf + self.nmodels = 0 + self.nflows = numflows + self.dt = dt + self.flows = np.zeros(numflows) + self.BlockList = list() + + def AddComponent(self,h): + self.nmodels = len(self.BlockList)+1 + self.BlockList.append(h) + + def AddListComponents(self,l): + p = len(l) + for i in range(0,p): + self.BlockList.append(l[i]) + self.nmodels = self.nmodels+1 + + def Init(self): + self.t = self.tini + for i in range(0,self.nflows): + self.flows[i] = 0 + + def Reset(self): + for i in range(0,self.nmodels): + self.BlockList[i].Reset() + + def Run(self,listout): + self.Init() + qmax = listout.size + npoints = (self.tfin-self.tini)/self.dt + npt = int(npoints) + out = np.zeros((qmax+1,npt-1)) + p=0 + while self.Step() and p<npt-1: + out[0,p] = self.GetTime() + for q in range(0,qmax): + out[q+1, p] = self.GetFlow(listout[q]) + p=p+1 + return out + + def ChangeTimeStep(self,dt): + self.dt = dt + + def ChangeParameters(self,pos,val): + self.ModelList[pos].ChangeParameters(val) + + def Step(self): + for i in range(0,self.nmodels): + self.BlockList[i].GetInput(self) + self.BlockList[i].Step(self.t,self.dt) + self.BlockList[i].WriteOutput(self) + self.t = self.t+self.dt + if self.t < self.tfin: + flag = 1 + else: + flag = 0 + return flag + + def GetFlow(self,n): + val = self.flows[n] + return val + + def GetTime(self): + val = self.t + return val + \ No newline at end of file diff --git a/notebooks/Sandkasten.ipynb b/notebooks/Sandkasten.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..bef6a117035a0d9d647900596550ea187f18d5a3 --- /dev/null +++ b/notebooks/Sandkasten.ipynb @@ -0,0 +1,198 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "sacred-child", + "metadata": {}, + "source": [ + "# <span style='color:OrangeRed'>Sandkasten</span>" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "adaptive-optimum", + "metadata": {}, + "outputs": [], + "source": [ + "from systheo2functions import *\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "outdoor-confidence", + "metadata": {}, + "outputs": [], + "source": [ + "# Untersuche Eigenschaften einer beliebigen Regelstrecke:\n", + "\n", + "Gs = 80/((1+2*s)**7) #Gebe hier eine beliebige Funktion ein; s**N steht für s^N \n", + "\n", + "print(\"Gs:\"+str(Gs))\n", + "\n", + "plt_bode(Gs)\n", + "\n", + "margin(Gs)\n", + "\n", + "#plt_nyquist(G,x-Skalierung,y-Skalierung,x-Anfang,x-Ende):\n", + "plt_nyquist(Gs,0.5,0.4,-20,0) #Benutze plt_nyquist(Gs,1,1,0,0) um das ganze Diagramm zu sehen\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "fresh-reviewer", + "metadata": {}, + "outputs": [], + "source": [ + "# Erstellen einer einfachen Simulation mit einem Eingangs- und einem Ausgangs-Signal:\n", + "\n", + "tini = 0 # Start time\n", + "tfinal = 1.5 # End time\n", + "dt = 0.001 # Time Step\n", + "nflows = 3 # Number of data flows in the schematic\n", + "Ts = 0.1 # Sampling time for discrete time\n", + "\n", + "sc = Schema(tini,tfinal,dt,nflows) # Instance of the simulation schematic\n", + "\n", + "c1 = SinusoidalSignalSource(1,0,1,2*pi,0)#SinusoidalSignalSource(out,startv,Am,om,phi)\n", + "c2 = TransferFunction(1,2,[1],[1,1]);#TransferFunction(inp,out,num,den)\n", + "\n", + "sc.AddListComponents(np.array([c1,c2]));\n", + "\n", + "#Run the schematic and plot:\n", + "out = sc.Run(np.array([1, 2]))\n", + "\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "fig.set_dpi(120)\n", + "ax.plot(out[0,:],out[1,:],out[0,:],out[2,:])\n", + "ax.grid()\n", + "ax.legend(['Eingangssignal (SinusoidalSignalSource)','Ausgangssignal durch TransferFunction'])\n", + "plt.show()\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "hungry-newton", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "elementary-lambda", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "moving-knock", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "sapphire-member", + "metadata": { + "tags": [] + }, + "source": [ + "# Liste nützlicher Funktionen für Matrizen und mathematische Funktionen:\n", + "print_det(M)\n", + "\n", + "print_rank(M)\n", + "\n", + "print_eig(M)\n", + "\n", + "matmul_loop(mats)\n", + "\n", + "plt_bode(G)\n", + "\n", + "plt_nyquist(G,scale_x,scale_y,x0,x1)\n", + "\n", + "margin(G)\n", + "\n", + "# Liste nützlicher Klassen für Simulationen:\n", + "### ⚠️ Achtung: Die zur Verfügung stehenden Klassen wurden nicht ausgiebig genug getestet um fehlerfreie Simulationen zu garantieren, außerdem müssen \"inp\" und \"out\" bei manchen Klassen als list-Objekt und bei anderen als integer übergeben werden.\n", + "StepSource(out,startv,endv,ts)\n", + "\n", + "SinusoidalSignalSource(out,startv,Am,om,phi)\n", + "\n", + "SquareSignal(out,hi,lo,f,duty)\n", + "\n", + "Constant(out,value)\n", + "\n", + "Division(in1,in2,out)\n", + "\n", + "Product(in1,in2,out)\n", + "\n", + "Sum(in1,in2,out,sign1,sign2)\n", + "\n", + "Saturation(inp,out,minout,maxout)\n", + "\n", + "Gain(inp,out,k)\n", + "\n", + "PI(inp,out,Kp,Ki,ini)\n", + "\n", + "PID(inp,out,Kp,Ki,Kd,ini)\n", + "\n", + "Integrator(inp,out,ini)\n", + "\n", + "Not(inp,out)\n", + "\n", + "Noise(inp,out,sigma)\n", + "\n", + "StateSpace(inp,out,A,B,C,D,xo)\n", + "\n", + "TransferFunction(inp,out,num,den)\n", + "### -------\n", + "FIR(inp,out,a,ts)\n", + "\n", + "DTIntegral(inp,out,ts,xo)\n", + "\n", + "ZOH(inp,out,ts)\n", + "\n", + "DTDelay(inp,out,init,ts)\n", + "\n", + "IIR(inp,out,a,b,ts)\n", + "\n", + "DTTransferFunction(inp,out,num,den,Ts)\n", + "\n", + "DTStateSpace(inp,out,A,B,C,D,xo,Ts)\n", + "\n", + "KalmanFilter(inp,out,N,M,F,G,C,Q,R,xo,Pk,Ts)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/notebooks/V01_zeitdiskrete_systeme.ipynb b/notebooks/V01_zeitdiskrete_systeme.ipynb index 9176c8f201d907a2c4ba645a2d13d0e11aab814d..aafe63c12e8517ff80b6e1ef52f2df8555545672 100644 --- a/notebooks/V01_zeitdiskrete_systeme.ipynb +++ b/notebooks/V01_zeitdiskrete_systeme.ipynb @@ -25,39 +25,59 @@ "- Wir nehmen folgende Abtastfrequenz: $f_{a}=10.000 Hz$\n", "- Hier gilt: $T=\\frac{1}{f_{a}}$ , $K_{max}=20.000$ , $k=[1...K_{max}]$ , $t=Tk$.\n", "- Wähle einen Ton mit 440 Hz. Es gilt:$\\omega=2\\pi440$\n", - "- Die Zahlenfolge wird definiert mit:$y=sin(\\omega.t)$\n", + "- Die Zahlenfolge wird definiert mit:$y=sin(\\omega*t)$\n", "\n", - "<b> Codes: </b>\n", - " <br><br>\n", - "Folgender Matlab Befehl erzeugt die Wiedergabe des Tons <code>y</code> mit der Frequenz <code>fa</code>:" + "<br>\n", + "Folgender Python Code erzeugt die Wiedergabe des Tons <code>y</code> mit der Frequenz <code>fa</code>:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/html": [ + "\n", + " <audio controls=\"controls\" >\n", + " <source 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\" type=\"audio/wav\" />\n", + " Your browser does not support the audio element.\n", + " </audio>\n", + " " + ], + "text/plain": [ + "<IPython.lib.display.Audio object>" + ] + }, + "execution_count": 1, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "% Abstast Frequenz\n", - "fa = 10000;\n", - "T = 1/fa;\n", + "from systheo2functions import *\n", + "from IPython.lib.display import Audio\n", + "%matplotlib widget\n", "\n", - "maxk = 20000;\n", - "k=1:maxk;\n", - "t=k.*T;\n", + "#Im Folgenden wird die Abspielrate eines Tones als Abtastfrequenz betrachtet\n", "\n", - "% A Tone 440 Hz\n", - "om = 2*pi*440;\n", - "y = sin(om*t);" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "soundsc(y,fa)" + "fa = 10000.0 #die später gewollte Abspielrate (gewünschte Abtastfrequenz)\n", + "T = 1.0/fa #Periodendauer der Abtastfrequenz\n", + "\n", + "mink = 1\n", + "maxk = 20000\n", + "k=np.array(range(mink, maxk+1))\n", + "\n", + "#Die Zeit in Sekunden t geht von mink*T bis maxk*T und hat mink bis maxk Einträge:\n", + "t = T*k\n", + "\n", + "#Zahlenfolge y ist der Ton mit einer Frequenz von 440Hz auf der Zeit t:\n", + "om = 2*pi*440\n", + "y = np.sin(om*t)\n", + "\n", + "#Abspielen des Tones mit der Abtastfrequenz fa:\n", + "Audio(y, rate=fa, autoplay=False)" ] }, { @@ -65,16 +85,38 @@ "metadata": {}, "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", - " Ändern Sie nun die Abtastfrequenz wie folgt:" + "Es wird nun die Abtastfrequenz fa2 zum Abspielen des Tons genutzt:" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 2, + "metadata": { + "scrolled": true + }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "59aa9b2f3d594509b328cfa010d6e70b", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(IntSlider(value=5000, description='fa2', max=10000, min=1000, step=100), Output()), _dom…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "soundsc(y,fa/2)" + "#Abspielen des Tones mit der einer anderen Abtastfrequenz fa2:\n", + "def f(fa2):\n", + " return Audio(y, rate=fa2, autoplay=False)\n", + "\n", + "\n", + "interact(f, fa2=widgets.IntSlider(min=1000, max=10000, step=100, value=5000));" ] }, { @@ -82,7 +124,7 @@ "metadata": {}, "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", - "Der Ton wurde <span style='color:red'> fehlerhaft </span> übersetzt und weicht von dem Originalton ab!" + "Der Ton wird <span style='color:red'> fehlerhaft </span> wiedergegeben (solange fa2 nicht gleich fa) und weicht von dem Originalton ab!" ] }, { @@ -103,32 +145,65 @@ "\n", " - Die Abtastkreisfrequenz und Abtastzeit entsprechen:$\\omega_{T}=2\\pi$, $T=\\frac{2\\pi}{\\omega_T}$\n", " \n", - " - Des Weiteren wird für die Folge bestimmt:$K_{max}=200$, $k=[1...K_{max}]$ , $t=Tk$.\n", + " - Des Weiteren wird für die Folge bestimmt:$K_{max}=7$, $k=[1...K_{max}]$ , $t=Tk$.\n", "\n", "Im Folgenden erzeugen wir zwei abgetastete Signale <code>y1</code> und <code>y2</code>:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "% Frequenz Signal 1\n", - "om1 = 1;\n", + "%matplotlib inline\n", + "\n", + "#Frequenz Signal 1\n", + "om1 = 1\n", + "\n", + "#Frequenz Signal 2\n", + "om2 = 1+2*pi\n", + "\n", + "#Abtast Frequenz\n", + "om_T = 2*pi\n", + "\n", + "#Abtast Zeit (Zeitabstand in dem Abgetastet wird)\n", + "T = 2*pi/om_T\n", "\n", - "% Frequenz Signal 2\n", - "om2 = 1+2*pi;\n", + "#k=(mink...maxk) (Folge mit Zahlen von mink bis maxk)\n", + "mink = 1\n", + "maxk = 7\n", + "k=np.array(range(mink, maxk+1))\n", "\n", - "% Abtast Frequenz\n", - "om_T = 2*pi;\n", + "#t=(mink*T...maxk*T) (Folge mit Zahlen von mink*T bis maxk*T)\n", + "t = T*k\n", "\n", - "% Abtast Zeit\n", - "T = 2*pi/om_T;\n", + "#Darstellung der originalen Signale 1 und 2\n", + "x = np.arange(1,7,0.01)\n", + "y1_o = np.sin(om1*x)\n", + "y2_o = np.sin(om2*x)\n", "\n", - "maxk = 200;\n", - "k=1:maxk;\n", - "t=k.*T;" + "fig = plt.figure()\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "ax.set_xticks(t)\n", + "ax.grid(axis='x',linestyle='dotted', color='b')\n", + "ax.plot(x,y1_o,'b',x,y2_o,'orange')\n", + "ax.legend(['sin(om1*x)','sin(om2*x)'])\n", + "ax.set_title('Der Zeitabstand in dem Abgetastet wird ist blau gestrichelt dargestellt.')\n", + "plt.show()" ] }, { @@ -136,23 +211,61 @@ "metadata": {}, "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", - "Das Ergebnis kann mit folgendem Matlab Befehl geplottet werden:" + "Die Signale dargestellt mit der gegebenen Abtastzeit:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "%Signal 1\n", - "y1 = sin(om1*k*T);\n", + "y1 = np.sin(om1*t)\n", "\n", - "%Signal 2\n", - "y2 = sin(om2*k*T);\n", + "plt.plot(t,y1,'b')\n", + "plt.grid()\n", + "plt.legend(['sin(om1*t)']);\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "y2 = np.sin(om2*t)\n", "\n", - "plot(t,y1,t,y2)\n", - "\n" + "plt.plot(t,y2,'orange')\n", + "plt.grid()\n", + "plt.legend(['sin(om2*t)']);\n", + "plt.show()" ] }, { @@ -187,7 +300,7 @@ "- $\\omega_1=\\omega_2+l\\frac{2\\pi}{kT}$ \n", "($l$ ganzzahlig)\n", "<br><br>\n", - "- $\\omega_1=\\omega_2+\\omega{T}$ \n", + "- $\\omega_1=\\omega_2+\\omega_T$ \n", "($ \\omega_T$ Abtastkreisfrequenz)\n" ] }, @@ -207,9 +320,9 @@ ], "metadata": { "kernelspec": { - "display_name": "Octave", - "language": "octave", - "name": "octave" + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" }, "language_info": { "codemirror_mode": { @@ -221,7 +334,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.9" + "version": "3.9.6" } }, "nbformat": 4, diff --git a/notebooks/V02_die_z-transformation.ipynb b/notebooks/V02_die_z-transformation.ipynb index 6476315785b86e7cb57c0bf972bcc0ef54c30ea1..cae36d4ea205565f5a76c4cf7ab8cecd5ebb7367 100644 --- a/notebooks/V02_die_z-transformation.ipynb +++ b/notebooks/V02_die_z-transformation.ipynb @@ -7,6 +7,18 @@ "# <span style='color:OrangeRed'>V2 - Die z-Transformation</span>" ] }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "from systheo2functions import *\n", + "%matplotlib inline" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -26,12 +38,12 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ - "N = [8 0]\n", - "D = [1 -3 2]" + "N = [8, 0]\n", + "D = [1, -3, 2]" ] }, { @@ -40,16 +52,26 @@ "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", "Da <code>N</code> und <code>D</code> Vektorpolynome sind , entspricht eine Entfaltung(.eng.: deconvolution) einer einfachen\n", - "Division. Die Matlab Funktion hierfür lautet:" + "Division. Wir nutzen dafür die Funktion <code>deconvolve</code> aus dem Python-Modul <code>signal</code>, in leicht abgeänderter Form:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "deconvolve (im ersten Schritt N/D sonst R/D):\n", + "f1:[]\n", + "R:[8 0]\n" + ] + } + ], "source": [ - "[fo R] = deconv(N,D)" + "f1,R = deconvolve(N,D,\"1\")" ] }, { @@ -64,22 +86,46 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "convolve with z^(-1): R=R*z^(-1):[8 0 0]\n", + "\n", + "deconvolve (im ersten Schritt N/D sonst R/D):\n", + "f2:[8.]\n", + "R:[ 0. 24. -16.]\n" + ] + } + ], "source": [ - "R = conv(R,[1 0])\n", - "[f2 R] = deconv(R,D)" + "R = convolve(R)\n", + "f2, R = deconvolve(R,D,\"2\")" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "convolve with z^(-1): R=R*z^(-1):[ 0. 24. -16. 0.]\n", + "\n", + "deconvolve (im ersten Schritt N/D sonst R/D):\n", + "f3:[ 0. 24.]\n", + "R:[ 0. 0. 56. -48.]\n" + ] + } + ], "source": [ - "R = conv(R,[1 0])\n", - "[f3 R] = deconv(R,D)" + "R = convolve(R)\n", + "f3, R = deconvolve(R,D,\"3\")" ] }, { @@ -105,9 +151,12 @@ "\n", "\n", "Durch Division erhält man:\n", - "\n", + " \n", "$F_z(z)=8z^{-1}+24z^{-2}+56z^{-3}+120z^{-4}+...$\n", "\n", + "Rechenweg (schriftliche Division):\n", + "\n", + " \n", "Aus dieser Beziehung können direkt die Werte der Zahlenfolge $f(k)$ abgelesen werden:\n", "\n", "$f(0)=0$, $f(1)=8$, $f(2)=24$, $f(3)=56$, $f(4)=120$,..." @@ -121,72 +170,103 @@ ] }, { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "N = [8 2 3 2 1];\n", - "D = [1 0 0 0 0];" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "[fo R] = deconv(N,D)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "R = conv(R,[1 0])\n", - "[f1 R] = deconv(R,D)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "R = conv(R,[1 0])\n", - "[f2 R] = deconv(R,D)" - ] - }, - { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "R = conv(R,[1 0])\n", - "[f3 R] = deconv(R,D)" + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "$F_z(z)= \\frac{8z^{-4}+2z^{-3}+3z^{-2}+2z^{-1}+1}{z^{-4}}$\n", + "</div>" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ - "R = conv(R,[1 0])\n", - "[f4 R] = deconv(R,D)" + "N = [8, 2, 3, 2, 1]\n", + "D = [1, 0, 0, 0, 0]" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Drücke den Knopf damit der nächste Rechenschritt angezeigt wird, das Ergebnis wird unter dem Knopf ausgegeben:\n" + ] + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "ca30547dbe06476b9f5d912fa8432e96", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Button(description='Hier drücken :-)', style=ButtonStyle())" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "12fee63fe9674b9f90d1d581d2aa5965", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Output()" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "R = conv(R,[1 0])\n", - "[f5 R] = deconv(R,D)" + "print(\"Drücke den Knopf damit der nächste Rechenschritt angezeigt wird, das Ergebnis wird unter dem Knopf ausgegeben:\")\n", + "button = widgets.Button(description=\"Hier drücken :-)\")\n", + "output = widgets.Output()\n", + "\n", + "display(button, output)\n", + "\n", + "i = 0\n", + "R = []\n", + "fk = []\n", + "fo = False\n", + "\n", + "def convolve_and_deconvolve(b):\n", + " with output:\n", + " global i\n", + " global R\n", + " global fk\n", + " global fo\n", + " i += 1\n", + " \n", + " #die gleichen Schritte wie in Beispiel 1 (schriftliche Division würde auch hier zum Ergebnis führen):\n", + " if i == 1:\n", + " f, R = deconvolve(N,D,str(i))\n", + " if len(f) == 0:\n", + " fo = True\n", + " else:\n", + " R = convolve(R)\n", + " f, R = deconvolve(R,D,str(i))\n", + " \n", + " #gebe das momentane Ergebnis für f(k) aus:\n", + " fk = list(map(sum, zip_longest(f, fk, fillvalue=0)))\n", + " fk_temp = fk.copy()\n", + " if fo == True:\n", + " fk_temp.insert(0,0)\n", + " print(\"f(k):\"+str(fk_temp))\n", + " print(\"\\n-----------------------\\n\")\n", + "\n", + "button.on_click(convolve_and_deconvolve)" ] }, { @@ -195,7 +275,7 @@ "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\"> \n", " \n", - "- Die Koeffizienten der Folge <code>f</code> entsprechen den Elementen des Zählervektors <code>N</code>.\n", + "- Die Koeffizienten der Folge <code>f(k)</code> entsprechen den Elementen des Zählervektors <code>N</code>.\n", " \n", "- <code>R</code> wird lediglich = $ 0$.\n", "\n", @@ -214,7 +294,7 @@ "metadata": {}, "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", - "Es gelten weiterhin die Werte aus dem <span style='color:Gray'>Beispiel #1 </span>:\n", + "Das Ergebnis (f(k)) aus <span style='color:Gray'>Beispiel #1 </span> wird nun als Funktion geplottet. Es gelten weiterhin die Werte:\n", "\n", "$num$=$8z^{-1}$\n", "\n", @@ -230,33 +310,61 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ - "function y = longdiv(num,den,npoint)\n", - "[y(1) R] = deconv(num,den);\n", - "\n", - "for i=2:npoint\n", - " num = conv(R,[1 0]);\n", - " [f R] = deconv(num,den);\n", - " y(i) = f(length(f));\n", - "end\n", - "end" + "def longdiv(N, D, k):\n", + " f,R = signal.deconvolve(N,D)\n", + " if len(f)==0:\n", + " fo = True\n", + " else:\n", + " fo = False\n", + " for i in range(k-1):\n", + " R = signal.convolve(R,[1, 0])\n", + " f_temp, R = signal.deconvolve(R,D)\n", + " f = list(map(sum, zip_longest(f, f_temp, fillvalue=0)))\n", + " if fo == True:\n", + " f.insert(0,0)\n", + " return(f)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Werte von f(k) von k=0 bis k=19:[0, 8.0, 24.0, 56.0, 120.0, 248.0, 504.0, 1016.0, 2040.0, 4088.0, 8184.0, 16376.0, 32760.0, 65528.0, 131064.0, 262136.0, 524280.0, 1048568.0, 2097144.0, 4194296.0]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "num = [8 0];\n", - "den = [1 -3 2];\n", - "npoint = 20;\n", + "num = [8, 0]\n", + "den = [1, -3, 2]\n", + "npoint = 20\n", "\n", - "y = longdiv(num, den, npoint);\n", - "plot(y)" + "fk = longdiv(num, den, npoint);\n", + "print(\"Werte von f(k) von k=0 bis k=19:\"+str(fk))\n", + "plt.plot(range(npoint),fk,'blue')\n", + "plt.grid()\n", + "plt.legend(['f(k)'])\n", + "plt.show()" ] }, { @@ -276,38 +384,79 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Werte von yc(k) von k=0 bis k=19:[1. 0.905 0.819 0.741 0.67 0.607 0.549 0.497 0.449 0.407 0.368 0.333\n", + " 0.301 0.273 0.247 0.223 0.202 0.183 0.165 0.15 ]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "pkg load control\n", + "Ts = 0.1\n", + "p = -1\n", + "npoint = 20\n", "\n", - "Ts = 0.1;\n", - "p = -1;\n", - "npoint = 20;\n", + "N=[1, 0]\n", + "D=[1, -exp(Ts*p)]\n", "\n", - "y1 = longdiv([1 0],[1 -exp(Ts*p)],npoint);\n", - "t =(1:npoint)*Ts-Ts;" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "yc = impulse(tf(1,[1 1]),t);\n", - "plot(t,yc,'r',t,y1,'*')" + "yc = longdiv(N, D, npoint);\n", + "print(\"Werte von yc(k) von k=0 bis k=\"+str(npoint-1)+\":\"+str(np.around(yc,3)))\n", + "plt.plot(np.arange(0.0, npoint*Ts, Ts),yc,'blue')\n", + "plt.grid()\n", + "plt.legend(['yc'])\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Werte von yh(k) von k=0 bis k=19:[0. 0.095 0.086 0.078 0.07 0.064 0.058 0.052 0.047 0.043 0.039 0.035\n", + " 0.032 0.029 0.026 0.023 0.021 0.019 0.017 0.016]\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "yh = longdiv(1-exp(Ts*p),[1 -exp(Ts*p)],npoint);\n", - "plot(t,yh,'+')" + "yh = longdiv(1-exp(Ts*p),[1, -exp(Ts*p)],npoint);\n", + "print(\"Werte von yh(k) von k=0 bis k=\"+str(npoint-1)+\":\"+str(np.around(yh,3)))\n", + "plt.scatter(np.arange(0.0, npoint*Ts, Ts),yh, marker = '+')\n", + "plt.grid()\n", + "plt.legend(['yh'])\n", + "plt.show()" ] }, { @@ -319,35 +468,68 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "function [G Ph] = BodeZOH(Ts,ommax,dom)\n", - "\n", - "k=0;\n", - "kmax = round(ommax/dom);\n", - "\n", - "for k=1:kmax\n", - " om(k) = k*dom;\n", - " Renum = 1 -cos(-om(k)*Ts);\n", - " Imnum = -sin(-om(k)*Ts);\n", - " Gnum = sqrt(Renum*Renum+Imnum*Imnum);\n", - " G(k) = Gnum/(om(k)*Ts);\n", - " Ph(k) = atan2(Imnum,Renum)-pi/2;\n", - "end\n", - "end\n", + "def BodeZOH(Ts,om,ommax,dom):\n", + " k=0;\n", + " kmax = round(ommax/dom);\n", + " for k in range(1, kmax):\n", + " om[k] = k*dom\n", + " Renum = 1 -cos(-om[k]*Ts)\n", + " Imnum = -sin(-om[k]*Ts)\n", + " Gnum = sqrt(Renum*Renum+Imnum*Imnum)\n", + " G[k] = Gnum/(om[k]*Ts)\n", + " Ph[k] = atan2(Imnum,Renum)-pi/2\n", + " \n", + " return [G, Ph]\n", "\n", "Ts = 0.1;\n", - "ommax = 100;\n", + "ommax = 200;\n", "dom = 0.1;\n", - "om=[0.1:0.1:100];\n", - "\n", - "[G Ph] = BodeZOH(Ts,ommax,dom);\n", + "om=np.arange(1.0, ommax+1, dom)\n", + "G=np.arange(1.0, ommax+1, dom)\n", + "Ph=np.arange(1.0, ommax+1, dom)\n", + "G, Ph = BodeZOH(Ts,om,ommax,dom)\n", + "Ph[0]=0.0\n", "\n", + "plt.plot(om,20*log10(G),'blue')\n", + "plt.xscale(\"log\")\n", + "plt.grid()\n", + "plt.legend(['20*log10(G) (Amplitude)'])\n", + "plt.show()\n", "\n", - "subplot(2,1,1), semilogx(om,20*log10(G));\n", - "subplot(2,1,2), semilogx(om,Ph*90/pi);" + "plt.plot(om,Ph*90/pi,'orange')\n", + "plt.xscale(\"log\")\n", + "plt.grid()\n", + "plt.legend(['Ph in Grad (Phase)'])\n", + "plt.show()" ] }, { @@ -371,8 +553,8 @@ "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", " \n", - "- Wir stellen drei Verfahren vor, wie in Matlab die Transformation von kontinuierlichen Systemen zu diskreten Systemen erfolgen kann.\n", - "- Dabei wird die Matlabfunktion<code>c2d</code> verwendet\n", + "- Wir stellen drei Verfahren vor, wie in Python die Transformation von kontinuierlichen Systemen zu diskreten Systemen erfolgen kann.\n", + "- Dabei wird die Python-Funktion <code>control.sample_system</code> verwendet, welche der Matlab-Funktion <code>c2d</code> ähnelt\n", "- Gegeben sei das System:\n", "\n", " $G(s)=\\frac{1}{s+1}$ und $T_s=0,1$" @@ -380,80 +562,230 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "pkg load control" - ] - }, - { - "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Abtastzeit: 0.1\n", + "\n", + "Kontinuierliches System:\n", + "\n", + "\n", + " 1\n", + "-----\n", + "s + 1\n", + "\n", + "-----------------------------\n", + "\n", + "Beispiel 1: ZOH\n", + "\n", + "\n", + " 0.09516\n", + "----------\n", + "z - 0.9048\n", + "\n", + "dt = 0.1\n", + "\n", + "-----------------------------\n", + "\n", + "Beispiel 2: Impulse\n", + "\n", + "\n", + " 0.1 z\n", + "----------\n", + "z - 0.9048\n", + "\n", + "dt = 0.1\n", + "\n", + "-----------------------------\n", + "\n", + "Bespiel 3: Verfahren G(s)/s\n", + "\n", + "Gi:\n", + "\n", + "1\n", + "-\n", + "s\n", + "\n", + "Gs = G*Gi:\n", + "\n", + " 1\n", + "-------\n", + "s^2 + s\n", + "\n", + "Gsz:\n", + "\n", + "0.009516 z + 2.22e-16\n", + "----------------------\n", + "z^2 - 1.905 z + 0.9048\n", + "\n", + "dt = 0.1\n", + "\n", + "Gh:\n", + "\n", + "z - 1\n", + "-----\n", + " z\n", + "\n", + "dt = 0.1\n", + "\n", + "Gf=Gh*(Gsz/Ts):\n", + "\n", + "\n", + "0.009516 z^2 - 0.009516 z - 2.22e-16\n", + "------------------------------------\n", + " 0.1 z^3 - 0.1905 z^2 + 0.09048 z\n", + "\n", + "dt = 0.1\n", + "\n" + ] + }, + { + "data": { + "text/latex": [ + "$$\\frac{0.09516}{z - 0.9048}\\quad dt = 0.1$$" + ], + "text/plain": [ + "TransferFunction(array([0.09516258]), array([ 1. , -0.90483742]), 0.1)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "disp('Abtastzeit')\n", "Ts = 0.1\n", + "s = control.TransferFunction.s\n", + "z = control.TransferFunction.z\n", + "print('Abtastzeit: '+str(Ts)+\"\\n\")\n", "\n", - "disp('Kontinuierliche Systeme')\n", - "G = tf(1,[1 1])\n", "\n", - "disp('Beispiel 1: ZOH')\n", - "Gh = c2d(G,Ts,'zoh')\n", + "G = (1)/(s + 1)\n", + "print('Kontinuierliches System:\\n')\n", + "print(G)\n", + "print(\"-----------------------------\\n\")\n", "\n", - "disp('Beispiel 2: Impulse') \n", - "Gz = c2d(G,Ts,'impulse')\n", + "print('Beispiel 1: ZOH\\n')\n", + "Gh = control.sample_system(G,Ts,method='zoh')\n", + "print(Gh)\n", + "print(\"-----------------------------\\n\")\n", + " \n", + "\n", + "print('Beispiel 2: Impulse\\n')\n", + "Gz = control.sample_system(G,Ts,method='impulse')\n", + "print(Gz)\n", + "print(\"-----------------------------\\n\")\n", + "\n", + "print('Bespiel 3: Verfahren G(s)/s')\n", "\n", - "disp('Bespiel 3: Verfahren G(s)/s')\n", - "Gi = tf([1],[1 0])\n", + "print(\"\\nGi:\")\n", + "Gi = (1)/(s)\n", + "print(Gi)\n", + "\n", + "print(\"Gs = G*Gi:\")\n", "Gs = G*Gi\n", - "Gsz = c2d(Gs,Ts,'impulse')\n", - "Gh = tf([1 -1], [1 0],Ts)\n", - "Gf = Gh*Gsz/Ts;\n", - "minreal(Gf)" + "print(Gs)\n", + "\n", + "print(\"Gsz:\")\n", + "Gsz = control.sample_system(Gs,Ts,method='impulse')\n", + "print(Gsz)\n", + "\n", + "print(\"Gh:\")\n", + "Gh = (z-1)/(z)\n", + "Gh.dt = Ts\n", + "print(Gh)\n", + "\n", + "print(\"Gf=Gh*(Gsz/Ts):\\n\")\n", + "Gf = Gh*(Gsz/Ts)\n", + "print(Gf)\n", + "\n", + "Gf.minreal()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Nun werden Transformationen eines Sinus-Signales simuliert:\n", + "</div>" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 720x480 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "<img src=\"bilder/v02_regelstrecke.png\"></img>" + ], + "text/plain": [ + "<IPython.core.display.HTML object>" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ - "% Set the Octave Engine to run the simulatio\n", - "% Simulation Parameters\n", - "pkg load control\n", - "addpath(\"./Octsim\");\n", - "% Start time\n", - "tini = 0;\n", - "% End time\n", - "tfinal = 5;\n", - "% Time Step\n", - "dt = 0.001;\n", - "% Number of data flows in the schematic\n", - "nflows = 5;\n", - "% Sampling time for discrete time\n", - "Ts = 0.1;\n", + "from IPython.display import HTML\n", + "\n", + "import sys\n", + "sys.path.append('Pysim')\n", + "\n", + "from Schema import Schema\n", + "from Block import TransferFunction, Sum, StepSource, SinusoidalSignalSource\n", + "from DTBlock import DTTransferFunction, ZOH\n", "\n", - "% Instance of the simulation schematic\n", - "sc = Schema(tini,tfinal,dt,nflows);\n", + "tini = 0 # Start time\n", + "tfinal = 1.5 # End time\n", + "dt = 0.001 # Time Step\n", + "nflows = 7 # Number of data flows in the schematic\n", + "Ts = 0.1 # Sampling time for discrete time\n", "\n", + "sc = Schema(tini,tfinal,dt,nflows) # Instance of the simulation schematic\n", "\n", - "% List of components\n", - "c{1} = SinusoidalSignalSource(1,1,2*pi,0);\n", - "c{2} = TransferFunction(1,2,1,[1,1]); %G(s)\n", - "c{3} = ZOH(1,3,Ts);\n", - "c{4} = TransferFunction(3,4,1,[1,1]); %Example 1 - ZOH at the input\n", - "c{5} = DTTransferFunction(1,5,[0.09516],[1 -exp(-0.1)],Ts); %Example 2\n", - "c{6} = DTTransferFunction(1,6,[0.1 0],[1 -exp(-0.1)],Ts) ;%Example 3\n", + "c1 = SinusoidalSignalSource(1,0,1,2*pi,0) # SinusoidalSignalSource(out,startv,Am,om,phi)\n", + "c2 = TransferFunction(1,2,[1],[1,1]) # TransferFunction(inp,out,num,den)\n", + "c3 = ZOH(1,3,Ts) # ZOH(inp,out,ts)\n", + "#Example 1 - ZOH at the input:\n", + "c4 = TransferFunction(3,4,[1],[1,1]) # TransferFunction(inp,out,num,den)\n", + "#Example 2:\n", + "c5 = DTTransferFunction(1,5,[0.09516],[1, -exp(-0.1)],Ts) # DTTransferFunction(inp,out,num,den,Ts)\n", + "#Example 3:\n", + "c6 = DTTransferFunction(1,6,[0.1, 0],[1, -exp(-0.1)],Ts) # DTTransferFunction(inp,out,num,den,Ts)\n", "\n", + "sc.AddListComponents(np.array([c1,c2,c3,c4,c5,c6]))\n", "\n", - "sc.AddListComponents(c);\n", + "#Run the schematic and plot:\n", + "out = sc.Run(np.array([1, 2, 3, 4, 5, 6]))\n", "\n", - "% Run the schematic and plot\n", - "out = sc.Run([ 2 3 4 5 6]);\n", - "%plot(out(1,:),out(2,:),out(1,:),out(3,:),out(1,:),out(4,:));\n", - "plot(out(1,:),out(2,:),out(1,:),out(4,:),out(1,:),out(5,:), out(1,:),out(6,:));" + "fig = plt.figure()\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "fig.set_dpi(120)\n", + "ax.plot(out[0,:],out[2,:],'blue',out[0,:],out[4,:],'orange',out[0,:],out[5,:],'red',out[0,:],out[6,:],'green')\n", + "ax.grid()\n", + "plt.show()\n", + "HTML('<img src=\"bilder/v02_regelstrecke.png\"></img>')" ] }, { @@ -475,36 +807,64 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": {}, - "outputs": [], - "source": [ - "pkg load control" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "Ts = 0.1;\n", - "Gz = tf([1 0],[1 -exp(-0.1)],Ts);\n", - "%Impuls: longdiv(num,den,100)\n", - "y1=longdiv(cell2mat(Gz.num),cell2mat(Gz.den),100);\n", - "plot(y1);" + "#G(z):\n", + "Gz=[[1, 0],[1, -exp(-Ts)]]\n", + "#%Impuls: longdiv(num,den,100)\n", + "y1=longdiv(Gz[0],Gz[1],100);\n", + "plt.plot(range(0,100),y1)\n", + "plt.grid()\n", + "plt.legend(['G(z) => y1(k)'])\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "Uz = tf([1 0],[1 -1],Ts);\n", - "Yz = Gz*Uz;\n", - "y2=longdiv(cell2mat(Yz.num),cell2mat(Yz.den),100);\n", - "plot(y2);\n" + "Uz = [[1, 0],[1, -1]]\n", + "Yz = [np.polymul(Uz[0],Gz[0]), np.polymul(Uz[1],Gz[1])]\n", + "#Y(z)=G(z)*U(z)\n", + "#print(Yz[0])\n", + "#print(Yz[1])\n", + "\n", + "y2=longdiv(Yz[0],Yz[1],100);\n", + "plt.plot(range(0,100),y2)\n", + "plt.grid()\n", + "plt.legend(['G(z)*U(z) => y2(k)'])\n", + "plt.show()" ] }, { @@ -519,48 +879,49 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "Gz2 = tf([1-exp(-0.1) 0],[1 -1-exp(-0.1) exp(-0.1)],Ts);\n", - "y3=longdiv(cell2mat(Gz2.num),cell2mat(Gz2.den),100);\n", - "plot(y3);" + "Gz2 = [[1-exp(-Ts),0],[1,-1-exp(-Ts),exp(-Ts)],Ts]\n", + "y3=longdiv(Gz2[0],Gz2[1],100);\n", + "plt.plot(range(0,100),y3)\n", + "plt.grid()\n", + "plt.legend(['y3(k)'])\n", + "plt.show()" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Octave", - "language": "octave", - "name": "octave" + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" }, "language_info": { - "file_extension": ".m", - "help_links": [ - { - "text": "GNU Octave", - "url": "https://www.gnu.org/software/octave/support.html" - }, - { - "text": "Octave Kernel", - "url": "https://github.com/Calysto/octave_kernel" - }, - { - "text": "MetaKernel Magics", - "url": "https://metakernel.readthedocs.io/en/latest/source/README.html" - } - ], - "mimetype": "text/x-octave", - "name": "octave", - "version": "4.2.2" + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" } }, "nbformat": 4, diff --git a/notebooks/V04_regelung_diskreter_systeme.ipynb b/notebooks/V04_regelung_diskreter_systeme.ipynb index 17251b6cd3c66cb720974ae2f606bc1a0de00ccf..3aa6aa421cc40a1af399f32bb0c56b91cc4dd145 100644 --- a/notebooks/V04_regelung_diskreter_systeme.ipynb +++ b/notebooks/V04_regelung_diskreter_systeme.ipynb @@ -7,6 +7,16 @@ "# <span style='color:OrangeRed'>V4 - Regelalgorithmen für die digitale Regelung</span>" ] }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "from systheo2functions import *\n", + "%matplotlib inline" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -27,32 +37,36 @@ "\n", "<b> Codes: </b>\n", "<br><br>\n", - "In Matlab definieren wir:" + "In Python definieren wir:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 31, "metadata": {}, - "outputs": [], - "source": [ - "pkg load control" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + " 40\n", + "---------------\n", + "s^2 + 13 s + 40\n", + "\n" + ] + } + ], "source": [ - "p1 = -5;\n", - "p2 = -8;\n", + "p1 = -5\n", + "p2 = -8\n", "\n", "Num = [p1*p2]\n", - "Den = [1 -(p1+p2) p1*p2]\n", + "Den = [1, -(p1+p2), p1*p2]\n", + "\n", + "Gs = control.TransferFunction(Num,Den)\n", "\n", - "Gs = tf(Num,Den)\n", - "\n" + "print(Gs)" ] }, { @@ -69,27 +83,73 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "0.5 s^2 + 6.5 s + 20\n", + "--------------------\n", + " s\n", + "\n" + ] + } + ], "source": [ - "% PID \n", + "#% PID \n", "omo = 20\n", "\n", "Kd = omo/(p1*p2)\n", "Kp = Kd*(-(p1+p2))\n", "Ki = Kd*p1*p2\n", "\n", - "Gr = tf([Kd Kp Ki],[1 0]);" + "Gr = control.TransferFunction([Kd, Kp, Ki],[1, 0])\n", + "\n", + "print(Gr)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 33, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Bode-Diagramm:\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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slPwlNqX3g4H/gdIS7wxgxzK/IxIJKyV/iV2NsmHgLLAEeC8Ptn7kd0QiYaPkL7Et9Wy4aLb3ZvD7A+CbuX5HJBIWSv4iKe28M4B6LWHmIO0AJCYo+YsAJGfAgHztACRmKPmLHJHc6tgdwNb5fkckEjJK/iJlJbeCATMhqbnXH9COj/2OSCQklPxFjpecAf3fg4QUeP8i2LXa74hEapySv0h5UrKg/wyve+j3B0JRgd8RidQoJX+RijQ8C/q9C4f2evcA9m/1OyKRGhOy5G9mj5rZJjNbGiiXlJn2gJmtM7M1ZjYoVDGIBK1RF+g7BfZ9AfmXaFhIqTVCfeT/B+dcdqC8BWBmHYDrgI7AYOBvZhYf4jhEqq95b+j1KuxYDLOvgtIDfkckEjQ/LvsMASY450qcc58B64BuPsQhUnWZl0O3sfDVO/DRSHDO74hEglInxOu/18y+AywEfuKc2wFkAPPKzFMYqDuBmY0ERgKkp6eTn59frSCKioqqvayERnS2STvaNhhOu8/G8dlW4/MGt/gdUI2Lznap3ULVJkElfzObAbQoZ9JDwDPArwEX+HwSuA2wcuYv9zDKOTcGGAOQm5vr8vLyqhVnfn4+1V1WQiNq28T1hfnQbsM42nXsC6cN9zuiGhW17VKLhapNgkr+zrmBVZnPzMYCbwb+LARal5mcCWwOJg6RsDGDbmO8sQDmj4DkNtCiv99RiZyyUD7t07LMn1cCKwLf3wCuM7NEM2sHnAmoL12JHnEJ0Ps171HQD67WYDASlUJ5w/cJM1tuZsuAfsCPAJxzK4FXgU+At4F7nHOlIYxDpObVTfUeAbV4+M/lcGCH3xGJnJKQ3fB1zt1cybTHgcdDtW2RsEhpB30mwfv9YfY10G+ad1YgEgX0hq9IMJr39u4BfP0eLP6J39GIVFmoH/UUqf1OGw47l8Pqp6BRVzj9Vr8jEjkpHfmL1ITs30KLgbDgTo0DIFFByV+kJsTVgV4ToF4GzL4Sir/0OyKRSin5i9SUxCZw4WQ4sAs+uAYOH/Q7IpEKKfmL1KRGXaD7c/DNHFjyM7+jEamQkr9ITcu6Htp/H9b8EQom+B2NSLmU/EVCoevvoFkvmH877FzpdzQiJ1DyFwmF+LreGAAJDbwuIDQIjEQYJX+RUEluBT1fhj1rvUdANQaARBAlf5FQatEfOj0KBeNh/XN+RyNylJK/SKh1fBBaXAQLvwc7PvY7GhFAyV8k9OLioedL3nsAHwzT9X+JCEr+IuGQ1Ny7/l+0Dhbe43c0Ikr+ImGT3hc6PgKfvQgbXvQ7GolxSv4i4dTpYWh+ISy8G3av8TsaiWFK/iLhFFcHeo6H+CSYcx2UlvgdkcQoJX+RcEvOhO5/hx1L4eMH/Y5GYpSSv4gfMq+AM+/2BoDZPN3vaCQGKfmL+KXr7yG1A8y7BfZv8TsaiTEhS/5m9i8zWxooBWa2NFCfZWbFZaaNDlUMIhGtTj3o+Qoc2AnzblX3DxJWIRvD1zl37ZHvZvYksKvM5PXOuexQbVskajTqAl2fgEU/gE+fgfZ3+x2RxIiQX/YxMwOGAa+EelsiUan996DlIFjyE9i1yu9oJEaYC/GpppldCDzlnMsN/J0FrATWAruBh51zsytYdiQwEiA9PT1nwoTqDYxRVFRESkpKtZaV0FCbHKtu6TbO/+Y29sens7jpX3GW4EscapfIE2yb9OvXb9GR/FtWUJd9zGwG0KKcSQ85514PfL+eY4/6vwTaOOe2mVkOMNnMOjrndh+/EufcGGAMQG5ursvLy6tWnPn5+VR3WQkNtUk5NsaTMPtK+jZ6D7J/40sIapfIE6o2CSr5O+cGVjbdzOoAQ4GcMsuUACWB74vMbD3QHlgYTCwiUa/1t+H078InT0CrS6F5H78jklos1Nf8BwKrnXOFRyrMrJmZxQe+nwacCWwIcRwi0eG8P0BKO/jwO3DwhJNhkRoT6uR/HSfe6L0QWGZmHwOvAXc657aHOA6R6JCQAj3+Cfu+gEU/9DsaqcVC9qgngHNueDl1E4GJodyuSFRr1hM6PAArH4eMK7zLQSI1TG/4ikSiTr+ARufBRyOg+Gu/o5FaSMlfJBLF1/VG/zq4x9sB6O1fqWFK/iKRKvUc75HPTVNgwwt+RyO1jJK/SCQ76/vQPM/r/qHoM7+jkVpEyV8kklkc9BgHGMwbDu6wzwFJbaHkLxLp6reFnD/Bllmw+o9+RyO1hJK/SDQ4bThkXO6N/LXrE7+jkVpAyV8kGphBt7GQ0MB7+/fwQb8jkiin5C8SLeqlw/mjYfsiWPk/fkcjUU7JXySatLkKsm6EFb/2dgIi1aTkLxJtcp+GpHTv8k/pfr+jkSil5C8Sbeo2gu7Pezd+lz3idzQSpZT8RaJRq8Fwxh2w6knYUu5AeCKVUvIXiVZdf+/1/T9vOBws8jsaiTJK/iLRKiEFLhjndfuw5Kd+RyNRRslfJJo17wPn/ATWPQub3/Y7GokiSv4i0a7LryG1I8y/HQ7s8DsaiRJK/iLRLj4JerwI+7fAgnv9jkaihJK/SG3Q+Dzo9Ah8/jJ8/qrf0UgUUPIXqS06PgCNz4cFd0Hxl35HIxEuqORvZteY2UozO2xmucdNe8DM1pnZGjMbVKY+x8yWB6b92cwsmBhEJCAuAXr+E0r3wfzvauhHqVSwR/4rgKHArLKVZtYBuA7oCAwG/mZm8YHJzwAjgTMDZXCQMYjIEQ3PguwnYPNbsP45v6ORCBZU8nfOrXLOrSln0hBggnOuxDn3GbAO6GZmLYGGzrkPnXMOeBH4djAxiMhx2t8DLQbC4h/BnvV+RyMRqk6I1psBzCvzd2Gg7mDg+/H15TKzkXhnCaSnp5Ofn1+tYIqKiqq9rISG2iS0Et0Ickvnse/tISxt+ifc0RPvyqldIk+o2uSkyd/MZgAtypn0kHPu9YoWK6fOVVJfLufcGGAMQG5ursvLy6s82Ark5+dT3WUlNNQmYVBQSurcG+jbbB50eqhKi6hdIk+o2uSkyd85N7Aa6y0EWpf5OxPYHKjPLKdeRGpa1vWw6Q1Y/qjXEVzjHL8jkggSqkc93wCuM7NEM2uHd2P3I+fcl8AeM7sg8JTPd4CKzh5EJFjn/83r+3/uTXBon9/RSAQJ9lHPK82sEOgBTDWz6QDOuZXAq8AnwNvAPc650sBidwHP4d0EXg9MCyYGEalE3UbQYxzsXg1LfuZ3NBJBgrrh65ybBEyqYNrjwOPl1C8EOgWzXRE5BS0Gwlk/gjV/gFaXQMYlfkckEUBv+IrEguz/gbTOMP9Wrw8giXlK/iKxID4Jeo6HA7tg3u16+1eU/EViRlpnyP4NbH4T1o32OxrxmZK/SCw56/vQchAs/jHsXOl3NOIjJX+RWGJx3tCPCQ1h7vVQut/viMQnSv4isaZeC28HsHM5LLnP72jEJ0r+IrGo1bfgrB/C2r9A4RS/oxEfKPmLxKrs30CjbJg3HPYVnmxuqWWU/EViVXwi9PoXHC6BOTfA4UN+RyRhpOQvEssatofzn4FvZsOKx/yORsJIyV8k1rW7GdrdAitGkVay2O9oJEyU/EUEcv8CDc+iw45RUPyV39FIGCj5iwgkpEDvfxPv9sGc6+Fw6cmXkaim5C8inrROrE39IWzJ9waAkVpNyV9Ejvo6eTCcfjusHAWb3/Y7HAkhJX8ROVbO05DWBebeCEUFfkcjIaLkLyLHqlMP+kwEVwqzr4JDxX5HJCGg5C8iJ2pwBvR8CXYshoX3qP//WkjJX0TKl3EZdHoENrwA68f6HY3UMCV/EalYp19Cy8Gw8F74Zq7f0UgNCir5m9k1ZrbSzA6bWW6Z+ovMbJGZLQ989i8zLd/M1pjZ0kBpHkwMIhJCcfHQ62VIbguzh6oDuFok2CP/FcBQYNZx9VuBy51znYFbgH8eN/1G51x2oGg0aZFIVrcR9H0dDu2FWVfqBnAtEVTyd86tcs6tKad+iXNuc+DPlUCSmSUGsy0R8VFqB+8G8PaF8NFI3QCuBeqEYRtXAUuccyVl6l4ws1JgIjDKufL/TzKzkcBIgPT0dPLz86sVQFFRUbWXldBQm0SmytsllbYNbqNdwd/ZsC2JLxrcGM7QYlbIfivOuUoLMAPv8s7xZUiZefKB3HKW7QisB04vU5cR+GwAvAN852QxOOfIyclx1TVz5sxqLyuhoTaJTCdtl8OHnfvgBufG49wXE8MSU6wL9rcCLHTl5NSTHvk75wZWZ6diZpnApEByX19mfZsCn3vM7GWgG/BidbYhImFmBhc8D0UbYO5NcNFsaJzjd1RSDSF51NPM0oCpwAPOuTll6uuYWdPA9wTgMryzCBGJFvFJcOFkSGwG/7kc9n7hd0RSDcE+6nmlmRUCPYCpZjY9MOle4AzgkeMe6UwEppvZMmApsAnQ2yMi0aZeOuRN9Z4Ayr8EDuz0OyI5RUHd8HXOTcK7tHN8/ShgVAWL6RxRpDZI6wR9JkH+YO8dgLy3Ib6u31FJFekNXxGpvhb9ofvz8PVMmH87uMN+RyRVFI5HPUWkNmt3s3fdf9nDkNQcuv7euzEsEU3JX0SC1/FB2P81rH7K2wF0+LnfEclJKPmLSPDMIOePULIVlt4PiU29EcEkYin5i0jNsDi4YBwc2O51AZHQENpc43dUUgHd8BWRmhNf1xsFrGlPmHMDFE7xOyKpgJK/iNSsOvW9dwAaZcMHV8NXM/yOSMqh5C8iNS+hIfSbDg3Phv9c4T0KKhFFyV9EQiOxMfR/F1JOg/xL4av3/Y5IylDyF5HQSWoOA96HlNPhP5fqElAEUfIXkdA6sgNocKbXEdzmaX5HJCj5i0g4JDWD/u9Dww4wawh88W+/I4p5Sv4iEh5JTb0zgCbdYM51sP7vfkcU05T8RSR86qZ6TwGlD/Q6glv1e40H7BMlfxEJrzr1oe8b0GYYLLkPFv9YvYH6QN07iEj4xSdCr1egXitY80co3gw9XvTqJSyU/EXEHxYH5z0FyRneGUDxJm9wmKRmfkcWE3TZR0T8Ywbn/BR6/Qu2L4J3LoBdq/yOKiYo+YuI/9oOgwH53pjA7/SAzW/7HVGtp+QvIpGhaXcY9BHUz/IGhV/5Gz0JFEJBJX8zu8bMVprZYTPLLVOfZWbFZrY0UEaXmZZjZsvNbJ2Z/dlM472JSED9NnDxHGh7LXz8AHwwDA4W+R1VrRTskf8KYCgwq5xp651z2YFyZ5n6Z4CRwJmBMjjIGESkNqlTH3q+DF1/B4X/B9PPh50r/I6q1gkq+TvnVjnn1lR1fjNrCTR0zn3onHPAi8C3g4lBRGqhIzeC+8+AAztgejdY/4LfUdUqoXzUs52ZLQF2Aw8752YDGUBhmXkKA3XlMrOReGcJpKenk5+fX61AioqKqr2shIbaJDJFXrsYdVP/xjk7RtFo/m18tewVPk39AaVx9f0OLGxC1SYnTf5mNgNoUc6kh5xzr1ew2JdAG+fcNjPLASabWUegvOv7Fd7Rcc6NAcYA5Obmury8vJOFW678/Hyqu6yEhtokMkVsuxweAitH0WLFY7SIWwc9X4JmPf2OKixC1SYnTf7OuYGnulLnXAlQEvi+yMzWA+3xjvQzy8yaCWw+1fWLSIyJi4fOv4QWF8Hcm2BGH+jwIHR6xBs3WE5ZSB71NLNmZhYf+H4a3o3dDc65L4E9ZnZB4Cmf7wAVnT2IiByrWU+4ZClk3QwrR8H0XNi+2O+oolKwj3peaWaFQA9gqplND0y6EFhmZh8DrwF3Oue2B6bdBTwHrAPWAxrZQUSqLqEh9BgHF74BJVthenf4+BEo3e93ZFElqBu+zrlJwKRy6icCEytYZiHQKZjtioiQeTk06wWLf+SdBXzxL+j2LKT38zuyqKA3fEUkeiU2hh7/gH7veN1Cv9cfPrwFir/yO7KIp+QvItGv5UVwyXLo+CB8/gpMaQ+rnoLDB/2OLGIp+YtI7VCnHpz7OFyyEpr3gSU/gbc6Q+Eb6iOoHEr+IlK7NDwT8qZC3yne37OGwHv9YNtCf+OKMEr+IlI7ZVzmXQo6/2+w6xOvj6DZV8HOlX5HFhGU/EWk9opLgDPvgivWQedH4ct3vUtBc2+CXav9js5XSv4iUvslNPTeEB7ymddh3MZJMLUDfHAt7Fjmd3S+UPIXkdiR2AS6PgFDCqDD/bB5Gkw7F2Z+C756P6ZuDCv5i0jsSWoG2f8D3/4cuoyCHYvh/QHwdg5sGBcTbwsr+YtI7KrbCDo9BEM+h25jvaQ/71aY3Bo+fgiKCvyOMGSU/EVE4pPgjO/CpSu9AWSa9YKV/wtvnOZdEto4qda9MBbKwVxERKKLGbQY4JW9X8D6570yeygkNoOsG+G0W6BRtt+RBk1H/iIi5anfBrr8yrs53HcKNO8Ln/4NpnWFqZ1gxeNQtMHvKKtNR/4iIpWJq+O9MJZxGZRs93oPLXgZlj3slcY50PoqrzRs73e0VaYjfxGRqkps7L00dtFs7yZx9hNg8fDxg/DmWTC1Iyx9ELbO83oZjWA68hcRqY76baDDfV7ZuxE2/h9segNWPQGf/C8kNoWWg6DlYGh5MSQ19zviYyj5i4gEq35rOPsHXjmwAza/DZvfgi+nQ8F4b560Lt4YxOn9oXlv761jHyn5i4jUpLqNIOt6r7jDsH0RfDXDK2ufhtVPgsVBo/Og+YXeY6VNe0G99LCGqeQvIhIqFgdNzvdKxwfg0D7vfsCWfNjyH1j7V1j9lDdvyunQpDs0vQCadING53rvH4SIkr+ISLjUSYYW/b0CUFoC2xfD1jmw9UNvp/D5y940qwNpnWhfkgEHukLd1JoNJZiFzewa4FHgHKBbYHB2zOxG4L4ys3YBznPOLTWzfKAlUByYdrFzbkswcYiIRKX4RGjWwytH7CuEbR95l4u2LaTx7gVQJ6XGNx3skf8KYCjwbNlK59x4YDyAmXUGXnfOLS0zy41HdhQiIlJGcqZXWg8FYF5+Pnlx8TW+maCSv3NuFYCZVTbb9cArwWxHRERqVjiu+V8LDDmu7gUzKwUmAqOcK78TbTMbCYwESE9PJz8/v1oBFBUVVXtZCQ21SWRSu0SeULXJSZO/mc0AWpQz6SHn3OsnWbY7sM85t6JM9Y3OuU1m1gAv+d8MvFje8s65McAYgNzcXJeXl3eycMuVn59PdZeV0FCbRCa1S+QJVZucNPk75wYGsf7rOO6Sj3NuU+Bzj5m9DHSjguQvIiKhEbK+fcwsDrgGmFCmro6ZNQ18TwAuw7tpLCIiYRRU8jezK82sEOgBTDWz6WUmXwgUOufK9nmaCEw3s2XAUmATMDaYGERE5NQF+7TPJGBSBdPygQuOq9sL5ASzTRERCZ66dBYRiUFWwVOWEcfMvgE+P646FdhVhbqmwNYQhVaZ8mIJ13qquszJ5qtsekXTqtIufrVJebGEaz2R3iag30ow851qu1S1rYJtk7bOuWYn1DrnorYAY6pYtzBS4gvXeqq6zMnmq2x6RdOq0i5+tYmf7RLpbeJnu8Tib6WqbRWqNon2yz5Tqljnl5qKpTrrqeoyJ5uvsukVTVO7BDe/2iS86/GrXU6lrWpc1Fz2CYaZLXTO5fodh/yX2iQyqV0iT6jaJNqP/KtqjN8ByAnUJpFJ7RJ5QtImMXHkLyIix4qVI38RESlDyV9EJAYp+YuIxKCYT/5mdpqZPW9mr/kdSywzs/pm9g8zGxsYBlQigH4fkcfMvh34nbxuZhdXdz1RnfzN7O9mtsXMVhxXP9jM1pjZOjO7v7J1OOc2OOduD22ksekU22co8JpzbgRwRdiDjSGn0i76fYTHKbbJ5MDvZDjeYFnVEtXJHxgHDC5bYWbxwF+BbwEdgOvNrIOZdTazN48rzcMfckwZRxXbB8gENgZmKw1jjLFoHFVvFwmPcZx6mzwcmF4t4RjGMWScc7PMLOu46m7AOhfoStrMJgBDnHP/izd+gITJqbQPUIi3A1hK9B+URLRTbJdPwhxeTDqVNjGzVcBvgGnOucXV3WZt/JFl8N8jSPCSSkZFM5tZEzMbDXQ1swdCHZxU2D7/B1xlZs8QWd0OxIpy20W/D19V9Fv5HjAQuNrM7qzuyqP6yL8CVk5dhW+yOee2AdX+B5RTVm77OG+sh1vDHYwcVVG76Pfhn4ra5M/An4NdeW088i8EWpf5OxPY7FMsciK1T2RSu0SekLZJbUz+C4AzzaydmdXFG0T+DZ9jkv9S+0QmtUvkCWmbRHXyN7NXgA+Bs8ys0Mxud84dAu4FpgOrgFedcyv9jDNWqX0ik9ol8vjRJurYTUQkBkX1kb+IiFSPkr+ISAxS8hcRiUFK/iIiMUjJX0QkBin5i4jEICV/EZEYpOQvIhKDlPxFRGLQ/wOBKBssafFwrgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "bode(Gs)\n" + "plt_bode(Gs)" ] }, { @@ -103,13 +163,45 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 34, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Bode-Diagramm:\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ + "#% PID\n", "Go = Gs*Gr\n", - "\n", - "bode(Go)" + "plt_bode(Go)" ] }, { @@ -196,22 +288,35 @@ "metadata": {}, "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", - "In Matlab definieren wir zunächst die Regelstrecke (Definition bleibt gleich)" + "In Python definieren wir zunächst die Regelstrecke (Definition bleibt gleich)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 35, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gs:\n", + " 40\n", + "---------------\n", + "s^2 + 13 s + 40\n", + "\n" + ] + } + ], "source": [ "p1 = -5\n", - "p2 = -8;\n", + "p2 = -8\n", "\n", "Num = [p1*p2]\n", - "Den = [1 -(p1+p2) p1*p2]\n", + "Den = [1, -(p1+p2), p1*p2]\n", "\n", - "Gs = tf(Num,Den)\n" + "Gs = control.TransferFunction(Num,Den)\n", + "print(\"Gs:\"+str(Gs))" ] }, { @@ -219,40 +324,87 @@ "metadata": {}, "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", - "Wir wählen für die Bandbreite $\\omega_0=20$ rad /s . Die Parameter des <span style='color:goldenrod'> PI Reglers </span> lassen sich\n", + "Wir wählen für die Bandbreite $\\omega_0=10$ rad/s.\n", + "Die Parameter des <span style='color:goldenrod'> PI Reglers </span> lassen sich\n", "wie folgt bestimmen:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 36, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0, array([3.2381264]), array([15.25463026])]\n", + "Go:\n", + " 129.5 s + 610.2\n", + "-------------------\n", + "s^3 + 13 s^2 + 40 s\n", + "\n" + ] + } + ], "source": [ - "% PID \n", + "#% PID \n", "omo = 10\n", "Fi = 40*pi/180\n", "\n", - "[Go Fo] = bode(Gs,omo)\n", - "Fo = Fo*pi/180;\n", + "Go,Fo,o = control.bode(Gs,omo,plot=False)\n", "\n", "Kd = 0;\n", "Kp = cos(-pi+Fi-Fo)/Go\n", "Ki = -sin(-pi+Fi-Fo)*omo/Go\n", "\n", + "print([Kd, Kp, Ki])\n", "\n", - "Gr = tf([Kd Kp Ki],[1 0]);\n", + "Gr = control.TransferFunction([Kd, Kp[0], Ki[0]],[1, 0]);\n", "\n", - "Go = Gs*Gr\n" + "Go = Gs*Gr\n", + "print(\"Go:\"+str(Go))" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 37, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Bode-Diagramm:\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "bode(Gs)" + "plt_bode(Gs)" ] }, { @@ -266,27 +418,81 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 38, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Bode-Diagramm:\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "bode(Go)" + "plt_bode(Go)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 39, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "nyquist(Go)" + "plt_nyquist(Go,0.01,0.1,-2,-1) #Benutze plt_nyquist(Go,1,1,0,0) um das ganze Diagramm zu sehen" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 40, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Phasenrand: 40.0° bei Frequenz: 10.0rad/s\n", + "keine Amplitudenreserve gefunden\n" + ] + } + ], "source": [ "margin(Go)" ] @@ -322,22 +528,35 @@ "<br><br>\n", "<b> Codes: </b>\n", "<br><br>\n", - "In Matlab definieren wir:" + "In Python definieren wir:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 41, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gs:\n", + " 40\n", + "---------------\n", + "s^2 + 13 s + 40\n", + "\n" + ] + } + ], "source": [ "p1 = -5;\n", "p2 = -8;\n", "\n", "Num = [p1*p2]\n", - "Den = [1 -(p1+p2) p1*p2]\n", + "Den = [1, -(p1+p2), p1*p2]\n", "\n", - "Gs = tf(Num,Den)" + "Gs = control.TransferFunction(Num,Den)\n", + "print(\"Gs:\"+str(Gs))" ] }, { @@ -345,18 +564,33 @@ "metadata": {}, "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", - "Die Regelstrecke muss zunächst diskretisiert werden. Dafür verwenden wir in Matlab\n", + "Die Regelstrecke muss zunächst diskretisiert werden. Dafür verwenden wir in Python\n", "folgende Befehle:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 42, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gsz:\n", + " 0.1315 z + 0.08521\n", + "----------------------\n", + "z^2 - 1.056 z + 0.2725\n", + "\n", + "dt = 0.1\n", + "\n" + ] + } + ], "source": [ "Ts = 0.1;\n", - "Gsz = c2d(Gs,Ts,'zoh');" + "Gsz = control.sample_system(Gs,Ts,method='zoh')\n", + "print(\"Gsz:\"+str(Gsz))" ] }, { @@ -372,50 +606,112 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 43, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[0, array([3.37984191]), array([11.78630003])]\n" + ] + } + ], "source": [ - "% PID \n", + "#% PID \n", "omo = 10\n", "Fi = 46*pi/180\n", "\n", - "[Go Fo] = bode(Gs,omo)\n", - "Fo = Fo*pi/180;\n", + "Go,Fo,o = control.bode(Gs,omo,plot=False)\n", "\n", "Kd = 0;\n", "Kp = cos(-pi+Fi-Fo)/Go\n", "Ki = -sin(-pi+Fi-Fo)*omo/Go\n", "\n", + "print([Kd, Kp, Ki])\n", "\n", - "Gr = tf([Kd Kp Ki],[1 0]);\n", + "Gr = control.TransferFunction([Kd, Kp[0], Ki[0]],[1, 0]);\n", "\n", "Go = Gs*Gr" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 44, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Bode-Diagramm:\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "bode(Go)" + "plt_bode(Go)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 45, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "nyquist(Go)" + "plt_nyquist(Go,0.01,0.2,-1,-1) #Benutze plt_nyquist(Go,1,1,0,0) um das ganze Diagramm zu sehen" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 46, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Phasenrand: 46.0° bei Frequenz: 10.0rad/s\n", + "keine Amplitudenreserve gefunden\n" + ] + } + ], "source": [ "margin(Go)" ] @@ -431,19 +727,34 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 47, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Grz:\n", + "4.558 z - 3.38\n", + "--------------\n", + " z - 1\n", + "\n", + "dt = 0.1\n", + "\n" + ] + } + ], "source": [ "Kr = Kp\n", "Ti = Kr/Ki\n", "\n", "Zn = 1/(1+Ts/Ti)\n", "\n", - "Numrz = [Kr/Zn -Kr]\n", - "Denrz = [1 -1]\n", + "Numrz = [float(Kr/Zn), float(-Kr)]\n", + "Denrz = [1, -1]\n", "\n", - "Grz= tf(Numrz,Denrz,Ts)\n" + "Grz = control.TransferFunction(Numrz,Denrz,Ts)\n", + "print(\"Grz:\"+str(Grz))" ] }, { @@ -456,14 +767,56 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 48, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Goz:\n", + " 0.5993 z^2 - 0.05593 z - 0.288\n", + "----------------------------------\n", + "z^3 - 2.056 z^2 + 1.328 z - 0.2725\n", + "\n", + "dt = 0.1\n", + "\n", + "Phasenrand: 18.056° bei Frequenz: 10.623rad/s\n", + "Amplitudenreserve: 1.655 bei Frequenz: 14.128rad/s\n", + "Bode-Diagramm:\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "Goz = Gsz*Grz\n", + "print(\"Goz:\"+str(Goz))\n", "margin(Goz)\n", "\n", - "[Gzo Fzo] = bode(Goz,omo)" + "plt_bode(Goz)" ] }, { @@ -531,7 +884,7 @@ "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", "\n", - "In Matlab wählen wir zunächst anstatt der Abtastzeit 0.1s die Abtastzeit 0.02s aus. Damit\n", + "In Python wählen wir zunächst anstatt der Abtastzeit 0.1s die Abtastzeit 0.02s aus. Damit\n", "wird sichergestellt, dass der Phasenverlust zwischen dem zeitkontinuierlichen und dem\n", "zeitdiskreten Fall nicht zu groß wird (der Phasenverlust wird dadurch von 28°für 0.1s auf\n", "6° für 0.02s reduziert).\n", @@ -557,24 +910,62 @@ "<br><br>\n", "$G_S(s)= \\frac{p_1p_2}{s^{2}-(p_1+p_2)s+p_1p_2}$\n", "<br><br>\n", - "Dieses System 2. Ordnung wird in Matlab wie folgt definiert:" + "Dieses System 2. Ordnung wird in Python wie folgt definiert:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 49, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + " 40\n", + "---------------\n", + "s^2 + 13 s + 40\n", + "\n", + "Bode-Diagramm:\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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slPwlNqX3g4H/gdIS7wxgxzK/IxIJKyV/iV2NsmHgLLAEeC8Ptn7kd0QiYaPkL7Et9Wy4aLb3ZvD7A+CbuX5HJBIWSv4iKe28M4B6LWHmIO0AJCYo+YsAJGfAgHztACRmKPmLHJHc6tgdwNb5fkckEjJK/iJlJbeCATMhqbnXH9COj/2OSCQklPxFjpecAf3fg4QUeP8i2LXa74hEapySv0h5UrKg/wyve+j3B0JRgd8RidQoJX+RijQ8C/q9C4f2evcA9m/1OyKRGhOy5G9mj5rZJjNbGiiXlJn2gJmtM7M1ZjYoVDGIBK1RF+g7BfZ9AfmXaFhIqTVCfeT/B+dcdqC8BWBmHYDrgI7AYOBvZhYf4jhEqq95b+j1KuxYDLOvgtIDfkckEjQ/LvsMASY450qcc58B64BuPsQhUnWZl0O3sfDVO/DRSHDO74hEglInxOu/18y+AywEfuKc2wFkAPPKzFMYqDuBmY0ERgKkp6eTn59frSCKioqqvayERnS2STvaNhhOu8/G8dlW4/MGt/gdUI2Lznap3ULVJkElfzObAbQoZ9JDwDPArwEX+HwSuA2wcuYv9zDKOTcGGAOQm5vr8vLyqhVnfn4+1V1WQiNq28T1hfnQbsM42nXsC6cN9zuiGhW17VKLhapNgkr+zrmBVZnPzMYCbwb+LARal5mcCWwOJg6RsDGDbmO8sQDmj4DkNtCiv99RiZyyUD7t07LMn1cCKwLf3wCuM7NEM2sHnAmoL12JHnEJ0Ps171HQD67WYDASlUJ5w/cJM1tuZsuAfsCPAJxzK4FXgU+At4F7nHOlIYxDpObVTfUeAbV4+M/lcGCH3xGJnJKQ3fB1zt1cybTHgcdDtW2RsEhpB30mwfv9YfY10G+ad1YgEgX0hq9IMJr39u4BfP0eLP6J39GIVFmoH/UUqf1OGw47l8Pqp6BRVzj9Vr8jEjkpHfmL1ITs30KLgbDgTo0DIFFByV+kJsTVgV4ToF4GzL4Sir/0OyKRSin5i9SUxCZw4WQ4sAs+uAYOH/Q7IpEKKfmL1KRGXaD7c/DNHFjyM7+jEamQkr9ITcu6Htp/H9b8EQom+B2NSLmU/EVCoevvoFkvmH877FzpdzQiJ1DyFwmF+LreGAAJDbwuIDQIjEQYJX+RUEluBT1fhj1rvUdANQaARBAlf5FQatEfOj0KBeNh/XN+RyNylJK/SKh1fBBaXAQLvwc7PvY7GhFAyV8k9OLioedL3nsAHwzT9X+JCEr+IuGQ1Ny7/l+0Dhbe43c0Ikr+ImGT3hc6PgKfvQgbXvQ7GolxSv4i4dTpYWh+ISy8G3av8TsaiWFK/iLhFFcHeo6H+CSYcx2UlvgdkcQoJX+RcEvOhO5/hx1L4eMH/Y5GYpSSv4gfMq+AM+/2BoDZPN3vaCQGKfmL+KXr7yG1A8y7BfZv8TsaiTEhS/5m9i8zWxooBWa2NFCfZWbFZaaNDlUMIhGtTj3o+Qoc2AnzblX3DxJWIRvD1zl37ZHvZvYksKvM5PXOuexQbVskajTqAl2fgEU/gE+fgfZ3+x2RxIiQX/YxMwOGAa+EelsiUan996DlIFjyE9i1yu9oJEaYC/GpppldCDzlnMsN/J0FrATWAruBh51zsytYdiQwEiA9PT1nwoTqDYxRVFRESkpKtZaV0FCbHKtu6TbO/+Y29sens7jpX3GW4EscapfIE2yb9OvXb9GR/FtWUJd9zGwG0KKcSQ85514PfL+eY4/6vwTaOOe2mVkOMNnMOjrndh+/EufcGGAMQG5ursvLy6tWnPn5+VR3WQkNtUk5NsaTMPtK+jZ6D7J/40sIapfIE6o2CSr5O+cGVjbdzOoAQ4GcMsuUACWB74vMbD3QHlgYTCwiUa/1t+H078InT0CrS6F5H78jklos1Nf8BwKrnXOFRyrMrJmZxQe+nwacCWwIcRwi0eG8P0BKO/jwO3DwhJNhkRoT6uR/HSfe6L0QWGZmHwOvAXc657aHOA6R6JCQAj3+Cfu+gEU/9DsaqcVC9qgngHNueDl1E4GJodyuSFRr1hM6PAArH4eMK7zLQSI1TG/4ikSiTr+ARufBRyOg+Gu/o5FaSMlfJBLF1/VG/zq4x9sB6O1fqWFK/iKRKvUc75HPTVNgwwt+RyO1jJK/SCQ76/vQPM/r/qHoM7+jkVpEyV8kklkc9BgHGMwbDu6wzwFJbaHkLxLp6reFnD/Bllmw+o9+RyO1hJK/SDQ4bThkXO6N/LXrE7+jkVpAyV8kGphBt7GQ0MB7+/fwQb8jkiin5C8SLeqlw/mjYfsiWPk/fkcjUU7JXySatLkKsm6EFb/2dgIi1aTkLxJtcp+GpHTv8k/pfr+jkSil5C8Sbeo2gu7Pezd+lz3idzQSpZT8RaJRq8Fwxh2w6knYUu5AeCKVUvIXiVZdf+/1/T9vOBws8jsaiTJK/iLRKiEFLhjndfuw5Kd+RyNRRslfJJo17wPn/ATWPQub3/Y7GokiSv4i0a7LryG1I8y/HQ7s8DsaiRJK/iLRLj4JerwI+7fAgnv9jkaihJK/SG3Q+Dzo9Ah8/jJ8/qrf0UgUUPIXqS06PgCNz4cFd0Hxl35HIxEuqORvZteY2UozO2xmucdNe8DM1pnZGjMbVKY+x8yWB6b92cwsmBhEJCAuAXr+E0r3wfzvauhHqVSwR/4rgKHArLKVZtYBuA7oCAwG/mZm8YHJzwAjgTMDZXCQMYjIEQ3PguwnYPNbsP45v6ORCBZU8nfOrXLOrSln0hBggnOuxDn3GbAO6GZmLYGGzrkPnXMOeBH4djAxiMhx2t8DLQbC4h/BnvV+RyMRqk6I1psBzCvzd2Gg7mDg+/H15TKzkXhnCaSnp5Ofn1+tYIqKiqq9rISG2iS0Et0Ickvnse/tISxt+ifc0RPvyqldIk+o2uSkyd/MZgAtypn0kHPu9YoWK6fOVVJfLufcGGAMQG5ursvLy6s82Ark5+dT3WUlNNQmYVBQSurcG+jbbB50eqhKi6hdIk+o2uSkyd85N7Aa6y0EWpf5OxPYHKjPLKdeRGpa1vWw6Q1Y/qjXEVzjHL8jkggSqkc93wCuM7NEM2uHd2P3I+fcl8AeM7sg8JTPd4CKzh5EJFjn/83r+3/uTXBon9/RSAQJ9lHPK82sEOgBTDWz6QDOuZXAq8AnwNvAPc650sBidwHP4d0EXg9MCyYGEalE3UbQYxzsXg1LfuZ3NBJBgrrh65ybBEyqYNrjwOPl1C8EOgWzXRE5BS0Gwlk/gjV/gFaXQMYlfkckEUBv+IrEguz/gbTOMP9Wrw8giXlK/iKxID4Jeo6HA7tg3u16+1eU/EViRlpnyP4NbH4T1o32OxrxmZK/SCw56/vQchAs/jHsXOl3NOIjJX+RWGJx3tCPCQ1h7vVQut/viMQnSv4isaZeC28HsHM5LLnP72jEJ0r+IrGo1bfgrB/C2r9A4RS/oxEfKPmLxKrs30CjbJg3HPYVnmxuqWWU/EViVXwi9PoXHC6BOTfA4UN+RyRhpOQvEssatofzn4FvZsOKx/yORsJIyV8k1rW7GdrdAitGkVay2O9oJEyU/EUEcv8CDc+iw45RUPyV39FIGCj5iwgkpEDvfxPv9sGc6+Fw6cmXkaim5C8inrROrE39IWzJ9waAkVpNyV9Ejvo6eTCcfjusHAWb3/Y7HAkhJX8ROVbO05DWBebeCEUFfkcjIaLkLyLHqlMP+kwEVwqzr4JDxX5HJCGg5C8iJ2pwBvR8CXYshoX3qP//WkjJX0TKl3EZdHoENrwA68f6HY3UMCV/EalYp19Cy8Gw8F74Zq7f0UgNCir5m9k1ZrbSzA6bWW6Z+ovMbJGZLQ989i8zLd/M1pjZ0kBpHkwMIhJCcfHQ62VIbguzh6oDuFok2CP/FcBQYNZx9VuBy51znYFbgH8eN/1G51x2oGg0aZFIVrcR9H0dDu2FWVfqBnAtEVTyd86tcs6tKad+iXNuc+DPlUCSmSUGsy0R8VFqB+8G8PaF8NFI3QCuBeqEYRtXAUuccyVl6l4ws1JgIjDKufL/TzKzkcBIgPT0dPLz86sVQFFRUbWXldBQm0SmytsllbYNbqNdwd/ZsC2JLxrcGM7QYlbIfivOuUoLMAPv8s7xZUiZefKB3HKW7QisB04vU5cR+GwAvAN852QxOOfIyclx1TVz5sxqLyuhoTaJTCdtl8OHnfvgBufG49wXE8MSU6wL9rcCLHTl5NSTHvk75wZWZ6diZpnApEByX19mfZsCn3vM7GWgG/BidbYhImFmBhc8D0UbYO5NcNFsaJzjd1RSDSF51NPM0oCpwAPOuTll6uuYWdPA9wTgMryzCBGJFvFJcOFkSGwG/7kc9n7hd0RSDcE+6nmlmRUCPYCpZjY9MOle4AzgkeMe6UwEppvZMmApsAnQ2yMi0aZeOuRN9Z4Ayr8EDuz0OyI5RUHd8HXOTcK7tHN8/ShgVAWL6RxRpDZI6wR9JkH+YO8dgLy3Ib6u31FJFekNXxGpvhb9ofvz8PVMmH87uMN+RyRVFI5HPUWkNmt3s3fdf9nDkNQcuv7euzEsEU3JX0SC1/FB2P81rH7K2wF0+LnfEclJKPmLSPDMIOePULIVlt4PiU29EcEkYin5i0jNsDi4YBwc2O51AZHQENpc43dUUgHd8BWRmhNf1xsFrGlPmHMDFE7xOyKpgJK/iNSsOvW9dwAaZcMHV8NXM/yOSMqh5C8iNS+hIfSbDg3Phv9c4T0KKhFFyV9EQiOxMfR/F1JOg/xL4av3/Y5IylDyF5HQSWoOA96HlNPhP5fqElAEUfIXkdA6sgNocKbXEdzmaX5HJCj5i0g4JDWD/u9Dww4wawh88W+/I4p5Sv4iEh5JTb0zgCbdYM51sP7vfkcU05T8RSR86qZ6TwGlD/Q6glv1e40H7BMlfxEJrzr1oe8b0GYYLLkPFv9YvYH6QN07iEj4xSdCr1egXitY80co3gw9XvTqJSyU/EXEHxYH5z0FyRneGUDxJm9wmKRmfkcWE3TZR0T8Ywbn/BR6/Qu2L4J3LoBdq/yOKiYo+YuI/9oOgwH53pjA7/SAzW/7HVGtp+QvIpGhaXcY9BHUz/IGhV/5Gz0JFEJBJX8zu8bMVprZYTPLLVOfZWbFZrY0UEaXmZZjZsvNbJ2Z/dlM472JSED9NnDxHGh7LXz8AHwwDA4W+R1VrRTskf8KYCgwq5xp651z2YFyZ5n6Z4CRwJmBMjjIGESkNqlTH3q+DF1/B4X/B9PPh50r/I6q1gkq+TvnVjnn1lR1fjNrCTR0zn3onHPAi8C3g4lBRGqhIzeC+8+AAztgejdY/4LfUdUqoXzUs52ZLQF2Aw8752YDGUBhmXkKA3XlMrOReGcJpKenk5+fX61AioqKqr2shIbaJDJFXrsYdVP/xjk7RtFo/m18tewVPk39AaVx9f0OLGxC1SYnTf5mNgNoUc6kh5xzr1ew2JdAG+fcNjPLASabWUegvOv7Fd7Rcc6NAcYA5Obmury8vJOFW678/Hyqu6yEhtokMkVsuxweAitH0WLFY7SIWwc9X4JmPf2OKixC1SYnTf7OuYGnulLnXAlQEvi+yMzWA+3xjvQzy8yaCWw+1fWLSIyJi4fOv4QWF8Hcm2BGH+jwIHR6xBs3WE5ZSB71NLNmZhYf+H4a3o3dDc65L4E9ZnZB4Cmf7wAVnT2IiByrWU+4ZClk3QwrR8H0XNi+2O+oolKwj3peaWaFQA9gqplND0y6EFhmZh8DrwF3Oue2B6bdBTwHrAPWAxrZQUSqLqEh9BgHF74BJVthenf4+BEo3e93ZFElqBu+zrlJwKRy6icCEytYZiHQKZjtioiQeTk06wWLf+SdBXzxL+j2LKT38zuyqKA3fEUkeiU2hh7/gH7veN1Cv9cfPrwFir/yO7KIp+QvItGv5UVwyXLo+CB8/gpMaQ+rnoLDB/2OLGIp+YtI7VCnHpz7OFyyEpr3gSU/gbc6Q+Eb6iOoHEr+IlK7NDwT8qZC3yne37OGwHv9YNtCf+OKMEr+IlI7ZVzmXQo6/2+w6xOvj6DZV8HOlX5HFhGU/EWk9opLgDPvgivWQedH4ct3vUtBc2+CXav9js5XSv4iUvslNPTeEB7ymddh3MZJMLUDfHAt7Fjmd3S+UPIXkdiR2AS6PgFDCqDD/bB5Gkw7F2Z+C756P6ZuDCv5i0jsSWoG2f8D3/4cuoyCHYvh/QHwdg5sGBcTbwsr+YtI7KrbCDo9BEM+h25jvaQ/71aY3Bo+fgiKCvyOMGSU/EVE4pPgjO/CpSu9AWSa9YKV/wtvnOZdEto4qda9MBbKwVxERKKLGbQY4JW9X8D6570yeygkNoOsG+G0W6BRtt+RBk1H/iIi5anfBrr8yrs53HcKNO8Ln/4NpnWFqZ1gxeNQtMHvKKtNR/4iIpWJq+O9MJZxGZRs93oPLXgZlj3slcY50PoqrzRs73e0VaYjfxGRqkps7L00dtFs7yZx9hNg8fDxg/DmWTC1Iyx9ELbO83oZjWA68hcRqY76baDDfV7ZuxE2/h9segNWPQGf/C8kNoWWg6DlYGh5MSQ19zviYyj5i4gEq35rOPsHXjmwAza/DZvfgi+nQ8F4b560Lt4YxOn9oXlv761jHyn5i4jUpLqNIOt6r7jDsH0RfDXDK2ufhtVPgsVBo/Og+YXeY6VNe0G99LCGqeQvIhIqFgdNzvdKxwfg0D7vfsCWfNjyH1j7V1j9lDdvyunQpDs0vQCadING53rvH4SIkr+ISLjUSYYW/b0CUFoC2xfD1jmw9UNvp/D5y940qwNpnWhfkgEHukLd1JoNJZiFzewa4FHgHKBbYHB2zOxG4L4ys3YBznPOLTWzfKAlUByYdrFzbkswcYiIRKX4RGjWwytH7CuEbR95l4u2LaTx7gVQJ6XGNx3skf8KYCjwbNlK59x4YDyAmXUGXnfOLS0zy41HdhQiIlJGcqZXWg8FYF5+Pnlx8TW+maCSv3NuFYCZVTbb9cArwWxHRERqVjiu+V8LDDmu7gUzKwUmAqOcK78TbTMbCYwESE9PJz8/v1oBFBUVVXtZCQ21SWRSu0SeULXJSZO/mc0AWpQz6SHn3OsnWbY7sM85t6JM9Y3OuU1m1gAv+d8MvFje8s65McAYgNzcXJeXl3eycMuVn59PdZeV0FCbRCa1S+QJVZucNPk75wYGsf7rOO6Sj3NuU+Bzj5m9DHSjguQvIiKhEbK+fcwsDrgGmFCmro6ZNQ18TwAuw7tpLCIiYRRU8jezK82sEOgBTDWz6WUmXwgUOufK9nmaCEw3s2XAUmATMDaYGERE5NQF+7TPJGBSBdPygQuOq9sL5ASzTRERCZ66dBYRiUFWwVOWEcfMvgE+P646FdhVhbqmwNYQhVaZ8mIJ13qquszJ5qtsekXTqtIufrVJebGEaz2R3iag30ow851qu1S1rYJtk7bOuWYn1DrnorYAY6pYtzBS4gvXeqq6zMnmq2x6RdOq0i5+tYmf7RLpbeJnu8Tib6WqbRWqNon2yz5Tqljnl5qKpTrrqeoyJ5uvsukVTVO7BDe/2iS86/GrXU6lrWpc1Fz2CYaZLXTO5fodh/yX2iQyqV0iT6jaJNqP/KtqjN8ByAnUJpFJ7RJ5QtImMXHkLyIix4qVI38RESlDyV9EJAYp+YuIxKCYT/5mdpqZPW9mr/kdSywzs/pm9g8zGxsYBlQigH4fkcfMvh34nbxuZhdXdz1RnfzN7O9mtsXMVhxXP9jM1pjZOjO7v7J1OOc2OOduD22ksekU22co8JpzbgRwRdiDjSGn0i76fYTHKbbJ5MDvZDjeYFnVEtXJHxgHDC5bYWbxwF+BbwEdgOvNrIOZdTazN48rzcMfckwZRxXbB8gENgZmKw1jjLFoHFVvFwmPcZx6mzwcmF4t4RjGMWScc7PMLOu46m7AOhfoStrMJgBDnHP/izd+gITJqbQPUIi3A1hK9B+URLRTbJdPwhxeTDqVNjGzVcBvgGnOucXV3WZt/JFl8N8jSPCSSkZFM5tZEzMbDXQ1swdCHZxU2D7/B1xlZs8QWd0OxIpy20W/D19V9Fv5HjAQuNrM7qzuyqP6yL8CVk5dhW+yOee2AdX+B5RTVm77OG+sh1vDHYwcVVG76Pfhn4ra5M/An4NdeW088i8EWpf5OxPY7FMsciK1T2RSu0SekLZJbUz+C4AzzaydmdXFG0T+DZ9jkv9S+0QmtUvkCWmbRHXyN7NXgA+Bs8ys0Mxud84dAu4FpgOrgFedcyv9jDNWqX0ik9ol8vjRJurYTUQkBkX1kb+IiFSPkr+ISAxS8hcRiUFK/iIiMUjJX0QkBin5i4jEICV/EZEYpOQvIhKDlPxFRGLQ/wOBKBssafFwrgAAAABJRU5ErkJggg==\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ "p1 = -5\n", - "p2 = -8;\n", + "p2 = -8\n", "\n", "Num = [p1*p2]\n", - "Den = [1 -(p1+p2) p1*p2]\n", + "Den = [1, -(p1+p2), p1*p2]\n", "\n", - "Gs = tf(Num,Den)\n", + "Gs = control.TransferFunction(Num,Den)\n", + "print(Gs)\n", "\n", - "bode(Gs)\n" + "plt_bode(Gs)\n" ] }, { @@ -588,12 +979,29 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 50, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gsz:\n", + "\n", + " 0.00734 z + 0.006731\n", + "----------------------\n", + "z^2 - 1.757 z + 0.7711\n", + "\n", + "dt = 0.02\n", + "\n" + ] + } + ], "source": [ "Ts = 0.02\n", - "Gsz = c2d(Gs,Ts,'zoh')\n" + "Gsz = control.sample_system(Gs,Ts,'zoh')\n", + "print(\"Gsz:\")\n", + "print(Gsz)" ] }, { @@ -607,88 +1015,169 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 51, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Grz:\n", + "\n", + " z^4 - 1.757 z^3 + 0.7711 z^2\n", + "-------------------------------------------------------\n", + "0.00734 z^5 + 0.006731 z^4 - 0.00734 z^3 - 0.006731 z^2\n", + "\n", + "dt = 0.02\n", + "\n", + "\n", + "Gl=Gsz*Grz:\n", + "\n", + " 0.00734 z^5 - 0.006165 z^4 - 0.006166 z^3 + 0.00519 z^2\n", + "-----------------------------------------------------------------------------------\n", + "0.00734 z^7 - 0.006165 z^6 - 0.01351 z^5 + 0.01136 z^4 + 0.006166 z^3 - 0.00519 z^2\n", + "\n", + "dt = 0.02\n", + "\n" + ] + } + ], "source": [ - "Kw = tf(1,[1 0 0],Ts);\n", + "Kw = control.TransferFunction(1,[1, 0, 0],Ts);\n", "\n", "Grz = Kw/(Gsz*(1-Kw))\n", + "print(\"Grz:\")\n", + "print(Grz)\n", "\n", - "Gl = Gsz*Grz;h\n", + "Gl = Gsz*Grz\n", + "print(\"\\nGl=Gsz*Grz:\")\n", + "print(Gl)\n", "\n", - "Numz = cell2mat(Grz.num)\n", - "Denz = cell2mat(Grz.den)" + "Numz = Grz.num[0][0]\n", + "Denz = Grz.den[0][0]" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 52, "metadata": {}, "outputs": [], "source": [ - "p1 = -5;\n", - "p2 = -8;\n", + "p1 = -5\n", + "p2 = -8\n", "\n", "Num = [p1*p2];\n", - "Den = [1 -(p1+p2) p1*p2];" + "Den = [1, -(p1+p2), p1*p2]" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 53, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Grz:\n", + "\n", + " z^4 - 1.757 z^3 + 0.7711 z^2\n", + "-------------------------------------------------------\n", + "0.00734 z^5 + 0.006731 z^4 - 0.00734 z^3 + 0.006731 z^2\n", + "\n", + "dt = 0.02\n", + "\n" + ] + } + ], + "source": [ + "Grz = control.TransferFunction([1, -1.757, 0.7711, 0, 0], [0.00734, 0.006731, -0.00734, 0.006731, 0, 0], 0.02)\n", + "print(\"Grz:\")\n", + "print(Grz)\n", + "\n", + "Numrz = Grz.num[0][0]\n", + "Denrz = Grz.den[0][0]" + ] + }, + { + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "Grz = tf([1 -1.757 0.7711 0 0], [0.00734 0.006731 -0.00734 0.006731 0 0], 0.02)\n", + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Folgende Regelstrecke wird simuliert:\n", "\n", - "Numrz = cell2mat(Grz.num)\n", - "Denrz = cell2mat(Grz.den)" + "\n", + "</div>\n" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 54, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "% Set the Octave Engine to run the simulatio\n", - "% Simulation Parameters\n", - "pkg load control\n", - "addpath(\"./Octsim\");\n", - "% Start time\n", - "tini = 0;\n", - "% End time\n", - "tfinal = 3;\n", - "% Time Step\n", - "dt = 0.001;\n", - "% Number of data flows in the schematic\n", - "nflows = 4;\n", - "% Sampling time for discrete time\n", - "Ts = 0.02;\n", - "\n", - "% Instance of the simulation schematic\n", - "sc = Schema(tini,tfinal,dt,nflows);\n", - "\n", - "% List of components\n", - "c{1} = StepSource(1,0,1,0.1);\n", - "c{2} = Sum(1,4,2,1,-1);\n", - "c{3} = DTTransferFunction(2,3,Numrz,Denrz,Ts);\n", - "c{4} = TransferFunction(3,4,Num,Den);\n", - "sc.AddListComponents(c);\n", - "\n", - "% Run the schematic and plot\n", - "out = sc.Run([2 3 4]);\n", - "plot(out(1,:),out(3,:));" + "import sys\n", + "sys.path.append('Pysim')\n", + "\n", + "from Schema import Schema\n", + "from Block import TransferFunction, Sum, StepSource\n", + "from DTBlock import DTTransferFunction\n", + "\n", + "tini = 0 # Start time\n", + "tfinal = 3 # End time\n", + "dt = 0.001 # Time Step\n", + "nflows = 5 #Number of data flows in the schematic, Zahlenwert entspricht nicht dem in Matlab (hier um 1 größer)\n", + "Ts = 0.02 # Sampling time for discrete time\n", + "\n", + "sc = Schema(tini,tfinal,dt,nflows) # Instance of the simulation schematic\n", + "#print(\"Number of data flows: \" + str(sc.nflows))\n", + "\n", + "c1 = StepSource(1,0,1,0.1) #StepSource(self,out,startv,endv,ts)\n", + "c2 = Sum(1,4,2,1,-1) #Sum(self,in1,in2,out,sign1,sign2)\n", + "c3 = DTTransferFunction(2,3,Numrz,Denrz,Ts); #DTTransferFunction(self,inp,out,num,den,Ts)\n", + "c4 = TransferFunction(3,4,Num,Den); #TransferFunction(self,inp,out,num,den)\n", + "sc.AddListComponents(np.array([c1,c2,c3,c4]));\n", + "\n", + "#Run the schematic and plot:\n", + "out = sc.Run(np.array([1, 2, 3, 4]));\n", + "plt.plot(out[0,:],out[3,:],\"blue\");\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 55, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "plot(out(1,:),out(4,:));" + "plt.plot(out[0,:],out[4,:],'orange')\n", + "plt.show()" ] }, { @@ -715,11 +1204,26 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 27, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Kw:\n", + "0.2 z^4 + 0.4 z^3 + 0.6 z^2 + 0.8 z + 1\n", + "---------------------------------------\n", + " 3 z^5\n", + "\n", + "dt = 0.02\n", + "\n" + ] + } + ], "source": [ - "Kw = tf([0.2 0.4 0.6 0.8 1],[3 0 0 0 0 0],Ts)" + "Kw = control.TransferFunction([0.2, 0.4, 0.6, 0.8, 1],[3, 0, 0, 0, 0, 0],Ts)\n", + "print(\"Kw:\"+str(Kw))" ] }, { @@ -732,38 +1236,119 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Grz:\n", + " 0.6 z^11 + 0.1458 z^10 + 0.1543 z^9 + 0.1627 z^8 + 0.1711 z^7 - 3.42 z^6 + 2.313 z^5\n", + "-------------------------------------------------------------------------------------------------\n", + "0.06606 z^11 + 0.05617 z^10 - 0.01285 z^9 - 0.02129 z^8 - 0.02973 z^7 - 0.03817 z^6 - 0.02019 z^5\n", + "\n", + "dt = 0.02\n", + "\n", + "Gl:\n", + " 0.004404 z^12 + 0.005109 z^11 + 0.002114 z^10 + 0.002232 z^9 + 0.002351 z^8 - 0.02395 z^7 - 0.006043 z^6 + 0.01557 z^5\n", + "---------------------------------------------------------------------------------------------------------------------------------\n", + "0.06606 z^13 - 0.05989 z^12 - 0.0606 z^11 + 0.04459 z^10 - 0.002232 z^9 - 0.002351 z^8 + 0.02395 z^7 + 0.006043 z^6 - 0.01557 z^5\n", + "\n", + "dt = 0.02\n", + "\n" + ] + } + ], "source": [ "Grz = Kw/(Gsz*(1-Kw))\n", + "print(\"Grz:\"+str(Grz))\n", "\n", "Gl = Gsz*Grz;\n", + "print(\"Gl:\"+str(Gl))\n", "\n", - "Numz = cell2mat(Grz.num);\n", - "Denz = cell2mat(Grz.den);" + "Numz = Grz.num[0][0];\n", + "Denz = Grz.den[0][0];" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "Gs:\n", + "\n", + " 40\n", + "---------------\n", + "s^2 + 13 s + 40\n", + "\n", + "Bode-Diagramm:\n" + ] + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "\n", + "Gsz:\n", + "\n", + " 0.00734 z + 0.006731\n", + "----------------------\n", + "z^2 - 1.757 z + 0.7711\n", + "\n", + "dt = 0.02\n", + "\n" + ] + } + ], "source": [ - "p1 = -5;\n", - "p2 = -8;\n", + "p1 = -5\n", + "p2 = -8\n", "\n", "Num = [p1*p2]\n", - "Den = [1 -(p1+p2) p1*p2]\n", - "\n", - "Gs = tf(Num,Den)\n", - "\n", - "bode(Gs)\n", + "Den = [1, -(p1+p2), p1*p2]\n", "\n", + "Gs = control.TransferFunction(Num,Den)\n", + "print(\"\\nGs:\")\n", + "print(Gs)\n", + "plt_bode(Gs)\n", + "print(\"\")\n", "\n", "\n", "Ts = 0.02\n", - "Gsz = c2d(Gs,Ts,'zoh')\n" + "Gsz = control.sample_system(Gs,Ts,'zoh')\n", + "print(\"\\nGsz:\")\n", + "print(Gsz)" ] }, { @@ -785,29 +1370,21 @@ ], "metadata": { "kernelspec": { - "display_name": "Octave", - "language": "octave", - "name": "octave" + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" }, "language_info": { - "file_extension": ".m", - "help_links": [ - { - "text": "GNU Octave", - "url": "https://www.gnu.org/software/octave/support.html" - }, - { - "text": "Octave Kernel", - "url": "https://github.com/Calysto/octave_kernel" - }, - { - "text": "MetaKernel Magics", - "url": "https://metakernel.readthedocs.io/en/latest/source/README.html" - } - ], - "mimetype": "text/x-octave", - "name": "octave", - "version": "4.2.2" + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" } }, "nbformat": 4, diff --git a/notebooks/V06_normalformen_in_zustandsraumdarstellung.ipynb b/notebooks/V06_normalformen_in_zustandsraumdarstellung.ipynb index d7344ebb683b2306c33305d05aad1387ed237c2a..c5501d5d5c07d812063510bb9c871f0ebaa259d7 100644 --- a/notebooks/V06_normalformen_in_zustandsraumdarstellung.ipynb +++ b/notebooks/V06_normalformen_in_zustandsraumdarstellung.ipynb @@ -7,6 +7,16 @@ "# <span style='color:OrangeRed'>V6 - Normalformen in Zustandsraumdarstellung</span>" ] }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from systheo2functions import *\n", + "%matplotlib inline" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -20,7 +30,7 @@ "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", "Wir arbeiten zunächst mit der folgenden Zustandsraumdarstellung:\n", - "<br> $A$ = $\\left[ \\begin{array}{rrrr}\n", + "<br><br> $A$ = $\\left[ \\begin{array}{rrrr}\n", " -1 & 0 \\\\\n", " 1 & -2 \\\\\n", " \\end{array}\\right] $\n", @@ -36,40 +46,18 @@ }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "A =\n", - "\n", - " -1 0\n", - " 1 -2\n", - "\n", - "B =\n", - "\n", - " 1\n", - " 0\n", - "\n", - "C =\n", - "\n", - " 0 1\n", - "\n", - "D = 0\n" - ] - } - ], + "outputs": [], "source": [ - "A = [-1 0;\n", - " 1 -2]\n", + "A = np.array([[-1, 0],\n", + " [1, -2]])\n", " \n", - "B = [1; 0]\n", + "B = np.array([[1],[0]])\n", "\n", - "C = [0 1]\n", + "C = np.array([0,1])\n", "\n", - "D = 0" + "D = np.array([0])" ] }, { @@ -82,24 +70,12 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "V =\n", - "\n", - " 1 0\n", - " 1 1\n", - "\n" - ] - } - ], + "outputs": [], "source": [ - "V = [1 0;\n", - " 1 1]" + "V = np.array([[1,0],\n", + " [1,1]])" ] }, { @@ -112,24 +88,12 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "V1 =\n", - "\n", - " 1 0\n", - " -1 1\n", - "\n" - ] - } - ], + "outputs": [], "source": [ - "V1= [1 0;\n", - " -1 1]" + "V1= np.array([[1,0],\n", + " [-1,1]])" ] }, { @@ -138,125 +102,71 @@ "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", "Jetzt transfomieren wir die Matrizen auf Diagonalform:\n", - " <br> $A_{neu}$=$V^{-1}AV$ = $\\left[ \\begin{array}{rrrr}\n", + " <br><br>$A_{neu}$=$V^{-1}AV$ = $\\left[ \\begin{array}{rrrr}\n", " -1 & 0 \\\\\n", " 0 & -2 \\\\\n", - " \\end{array}\\right] $\n" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "A_neu =\n", - "\n", - " -1 0\n", - " 0 -2\n", - "\n" - ] - } - ], - "source": [ - "A_neu = [-1 0;\n", - " 0 -2]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "<br><br> $B_{neu}$=$V^{-1}B$ = $\\left[ \\begin{array}{rrrr}\n", + " \\end{array}\\right] $\n", + " <br><br>$B_{neu}$=$V^{-1}B$ = $\\left[ \\begin{array}{rrrr}\n", " 1 \\\\\n", " -1 \\\\\n", - " \\end{array}\\right] $\n" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "B_neu =\n", - "\n", - " 1\n", - " -1\n", - "\n" - ] - } - ], - "source": [ - "B_neu =[1;\n", - " -1]" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "<br><br> $C_{neu}$=$CV$ = $\\left[ \\begin{array}{rrrr}\n", + " \\end{array}\\right] $\n", + " <br><br>$C_{neu}$=$CV$ = $\\left[ \\begin{array}{rrrr}\n", " 1 & 1 \\\\\n", - " \\end{array}\\right] $" + " \\end{array}\\right] $\n", + " <br>" ] }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 5, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "C_neu =\n", - "\n", - " 1 1\n", - "\n" - ] - } - ], + "outputs": [], "source": [ - "C_neu=[1 1]" + "#Gewünschte Matrizen:\n", + "\n", + "A_neu = np.array([[-1,0],\n", + " [0,-2]])\n", + "\n", + "B_neu = np.array([[1],\n", + " [-1]])\n", + "\n", + "C_neu = np.array([1,1])" ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Adc =\n", - "\n", - " -1 0\n", - " 0 -2\n", - "\n", - "Bd =\n", - "\n", - " 1\n", - " -1\n", + "Adc=V1*A*V:\n", + "[[-1 0]\n", + " [ 0 -2]]\n", "\n", - "Cd =\n", + "Bd=V1*B:\n", + "[[ 1]\n", + " [-1]]\n", "\n", - " 1 1\n", + "Cd=C*V:\n", + "[1 1]\n", "\n" ] } ], "source": [ - "Adc = V1*A*V\n", - "Bd = V1*B\n", - "Cd = C*V" + "#Berechnung mit matmul aus dem Python-Modul numpy:\n", + "\n", + "Adc = np.matmul(np.matmul(V1,A),V)\n", + "print(\"Adc=V1*A*V:\\n\"+str(Adc)+\"\\n\")\n", + "\n", + "Bd = np.matmul(V1,B)\n", + "print(\"Bd=V1*B:\\n\"+str(Bd)+\"\\n\")\n", + "\n", + "Cd = np.matmul(C,V)\n", + "print(\"Cd=C*V:\\n\"+str(Cd)+\"\\n\")" ] }, { @@ -269,7 +179,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -281,9 +191,8 @@ } ], "source": [ - "if Adc == A_neu\n", - " display(\"Transformationsmatrix erfolgreich verifiziert.\")\n", - "end" + "if np.array_equal(Adc,A_neu):\n", + " print(\"Transformationsmatrix erfolgreich verifiziert.\")" ] }, { @@ -318,40 +227,35 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ - "% Set the Octave Engine to run the simulation\n", - "% Simulation Parameters\n", - "pkg load control\n", - "addpath(\"./Octsim\");\n", - "% Start time\n", - "tini = 0;\n", - "% End time\n", - "tfinal = 7;\n", - "% Time Step\n", - "dt =0.01;\n", - "% Number of data flows in the schematic\n", - "nflows = 4;\n", + "import sys\n", + "sys.path.append('Pysim')\n", + "\n", + "from Schema import Schema\n", + "from Block import StepSource, StateSpace\n", "\n", - "xo = 0;\n", + "tini = 0 # Start time\n", + "tfinal = 7 # End time\n", + "dt = 0.01 # Time Step\n", + "nflows = 6 #Number of data flows in the schematic, Zahlenwert entspricht nicht dem in Matlab (hier um 2 größer)\n", "\n", - "% Instance of the simulation schematic\n", - "sc = Schema(tini,tfinal,dt,nflows);\n", + "xo = np.array([[0],[0]])\n", "\n", - "% List of components\n", - "c{1} = StepSource(1,0,1,1);\n", - "c{2} = StateSpace(1,2,A,B,C,D,xo);\n", - "c{3} = StateSpace(1,3,Adc,Bd,[0 1],0,xo);\n", - "c{4} = StateSpace(1,4,Adc,Bd,[1 0],0,xo);\n", - "c{5} = StateSpace(1,5,Adc,Bd,Cd,0,xo);\n", + "sc = Schema(tini,tfinal,dt,nflows) # Instance of the simulation schematic\n", "\n", + "c1 = StepSource(1,0,1,1) #StepSource(out,startv,endv,ts)\n", + "c2 = StateSpace([1],[2],A,B,C,D,xo) #StateSpace(inp,out,A,B,C,D,xo)\n", + "c3 = StateSpace([1],[3],Adc,Bd,np.array([0, 1]),np.array([0]),xo)\n", + "c4 = StateSpace([1],[4],Adc,Bd,np.array([1, 0]),np.array([0]),xo)\n", + "c5 = StateSpace([1],[5],Adc,Bd,Cd,np.array([0]),xo)\n", "\n", - "sc.AddListComponents(c);\n", + "sc.AddListComponents(np.array([c1,c2,c3,c4,c5]));\n", "\n", - "% Run the schematic and plot\n", - "out = sc.Run([2 3 4 5]);" + "#Run the schematic and plot:\n", + "out = sc.Run(np.array([1, 2, 3, 4, 5])); #Nummern der zurückgegebene Listen um eins kleiner als in Matlab" ] }, { @@ -365,23 +269,26 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 9, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "%Ausgang 1\n", - "plot(out(1,:),out(2,:)); " + "#Ausgang 1\n", + "plt.plot(out[0,:],out[2,:]);\n", + "plt.show()" ] }, { @@ -395,23 +302,26 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "% Ausgang 2\n", - "plot(out(1,:),out(5,:));" + "#Ausgang 2\n", + "plt.plot(out[0,:],out[5,:]);\n", + "plt.show()" ] }, { @@ -424,58 +334,46 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { - "image/png": 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Hj+5yP+uhRkDj+OggAEIQpAQZj4AmEqTUqBHQUIIEQAiClBTjEdBcgpQONQIaTZAACEGQEmE8AppOkFKgRkACBAmAEASp8YxHQBoEqdnUCEiGIAEQgiA1mPEISIkgNZUaAYkRJABCEKRGMh4B6REkAEIQpOYxHgFJEqSGUSMgVYIEQAiC1CTGIyBhggRACILUGMYjIG2CBEAIgtQMxiMgeYIEQAiC1ADGI6ANBCk6NQJaQpAACEGQQjMeAe0hSACEIEhxGY+AVhEkAEIQpKCMR0DbCBIAIQhSRMYjoIUECYAQBCkc4xHQToIEQAiCFIvxCGgtQQIgBEEKxHgEtJkgARCCIEVhPAJaTpAACEGQQjAeAQgSACEIUv2MRwCZIAEQhCDVzHgEMCdIAIQgSHUyHgEsCBIAIQhSbYxHAJ8SJABCECQAQhCketivA/iMIAEQgiDVwHgE8CVBAiAEQVo34xHAlQQJgBAEaa2MRwDXESQAQhAkAEIQpPWxXwdwA0ECIARBWhPjEcDNBAmAEARpHYxHALcSJABCECQAQhCkytmvA7gLQQIgBEGqlvEI4I4ECYAQBAmAEASpQvbrAO5OkAAIQZCqYjwCuBdBAiAEQQIgBEGqhP06gPsSJABCECQAQhCk8tmvA1hCVUEaj8fT6bSigwOQnkqCdHBwcH5+fnh4OBqNqjh+ZMYjgOV8XfoRLy4u8jx/+fJlURT9fr/b7Zb+FACkp/wJaTwe7+zsZFmW5/nl5WXpxwcgSZVs2eV5Pr+xu7tbxfHDsl8HsLTyt+yyLCuKYn7jhgnpX9/+qYqnBmD9NjY2FrcfPXq03EHKD9LOzs54PM6yrCiKTqdz3ZelOklsnP5jdva07lUArNVsNlvc3t7eXu4g5Qep1+sNh8PBYHB5eXl0dFT68QFIUiVbdm/fvh2NRt99993iYhIA3KyqH4ztdrvtrNHs7OnG6T/qXgVA8/joIABCEKTyGZIAliBIAIQgSACEIEiVsGsHcF+CBEAIglQVQxLAvQgSACEIEgAhCFKF7NoB3J0gARCCIFXLkARwR4IEQAiCVDlDEsBdCBIAIQjSOhiSAG4lSACEIEgAhCBIa2LXDuBmggRACIK0PoYkgBsIEgAhCNJaGZIAriNI66ZJAFcSJABCEKQaGJIAviRIAIQgSPUwJAF8RpAACEGQamNIAviUIAEQgiDVyZAEsCBIAIQgSDUzJAHMCVL9NAkgEyQAghCkEAxJAIIUhSYBLSdIAIQgSIEYkoA2E6RYNAloLUECIARBCseQBLSTIEWkSUALCVJQmgS0jSABEIIgxWVIAlpFkELTJKA9BCk6TQJaQpAaQJOANhAkAEIQpGYwJAHJE6TG0CQgbYLUJJoEJEyQGkaTgFQJUvNoEpAkQWokTQLSI0hNpUlAYgSpwTQJSIkgNZsmAckQpMbTJCANgpQCTQISIEiJmDdJloDmEqR0zM6eGpWA5hKk1GgS0FCClCBNAppIkNLkkhLQOIKULJeUgGYRpMQZlYCmEKT0GZWARhCktjAqAcF9XfcCWJ/Z2dMsy+ZNmt8GiMOE1Dp28ICYBKml7OAB0diyay87eEAogtR2sgQEIUhk2R+zlCkTUAdB4r8WHTIwAesnSFzBwASsnyBxLQMTsE6CxO0MTMAaCBJ39dnA9NmdACsSJO7t0wgZm4CyCBIrMTYBZREkynHl2PTlfwK4jiBRvs8KpE/AXQgSlbu5T19+AdBOgsS6fZmfKz90XKWgbVYN0ng8zvN8a2urlNXQTle254ZfjaFVkKSVgnRwcJDn+WQyOT097Xa7i/sfP37c6XSyLOt0Oi9evFh1jbTSDdW5y69xEi1onOWDdHFxkef5y5cvi6Lo9/uLIBVF0el03rx5U84C4Qt3ic1yv3tQxqBGywdpPB7v7OxkWZbn+eXl5eL+oii2trb6/f7m5ubx8bHdPGqxXFrW/yt0JRAWVtqyy/N8fmN3d3dx53Q6ffDgwZMnTyaTycnJyXWj0sbGxuL2bDZbZRlQlvXnwW+RJz2Pln3gvYM0Go3evXv38OHDLMuKopjf+emE1Ov1er1elmXdbvfi4uK644gQZCYkUrT9v0s+8N5B6na788tFFxcX4/E4+89Fo8UXDIfDTqfz6XscAOBWy2/Z9Xq94XA4GAwuLy+Pjo6yLBuNRoeHh7/++uvJycne3t5kMtnf3y9vqQCkbGPFrbPRaJTn+eJi0q33z21vb79//36V5wUgpqVf4Vf9wdjrtuZs2QFwL1/VvQAAyDJBAiAIQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIgBEECIARBAiAEQQIghKqCNJ1Oi6Ko6OAxbWxs1L2ESjivZnFezZLqeS2nqiD98ssvP//8c0UHByA9lQTp+fPnZ2dnVRwZgFRVEqS3b9/+8MMPVRwZgFR5UwMAIWzMZrNSDjQajd69e/fw4cP9/f0sywaDQZZlL168uPKLt7e3S3lSAAJ6//79Eo/6uqyn73a73W73jl+83FoBSJgtOwBCKG3LDgBWYUICIIQagjQej6fT6fqft2qpfjjFeDxO8rxGo1GS34dZlhVFkeqpJaYoiiT/ci1t3Vt2BwcHeZ5PJpPT09O7vwmiEYbD4cePH697Y2ETTafTw8PDTqdTFEWn00nm1Obntbu7+/e///309LTX69W9ojJNp9Nnz5799ttvdS+kNI8fP+50OlmWpfRNmGVZv9/Psqwoil6vN39zcgLOz88vLi7mtyeTyU8//bSzs3OPx8/W6G9/+9uPP/44m80+fPjw/fffr/Opq/bnP//50aNHf/3rX+teSJlev369OKOnT5/Wu5gSvX79+vXr17MUvw9ns9mPP/749OnTjx8/1r2QciT5ZzSbzd69ezd/Mfz48eNf/vKXupdTvn/+859LvB6W9rbvuxiPx/Na5nl+eXm5zqeu2tu3b+c/epWSvb29+Y3E9n+Ojo7mN8bjcZ7n9S6mXMPh8OHDh0VRbG1t1b2WcszPpd/vb25uHh8fJ3Ne85/aPD8/z7Ls1atXdS+nfGdnZ0uc17qvIS3+/u/u7q75qbmvPM/zPB+NRoeHh8fHx3Uvp2SDweDs7Ox++wmxjcfj8Xi8yG0aptPpgwcPer3eN998c3JyUvdyyjT/+OkPHz4cHBzUvZaSnZ+fP3nyZIl/Pax1QsqybHEFL7EJKVWDweD3339/9epVYpNElmUvXrw4Pj5+9uxZMtv3w+HwwYMHg8GgKIp+v398fJzAn1qv15tf5Ot2u4uLE2nY29ubf+89f/687rWU7Pz8/KefflrigWudkHZ2dj58+JBl2fwi+TqfmiWcn58nWaN+vz9/aUtm/2fu6OjoyZMn83+Z9nq9zc3NuldUguFwOBqN6l5F+R4+fLi4ndiW+Hg87nQ6y/3lWuuE1Ov1hsPhYDC4vLxMbGMhSfM3fC/2E968eVPnasqzv79/cnIyHo8nk0lKW5GL7cfNzc1k3sK6u7t7cnKyt7c3mUySmWWzLNvf33/+/PlgMEjsmzDLsouLi6V3wmv4pIbRaDS/OLHm54WF6XQ6mUx8HzZFqi8aqZ7X0nx0EAAh+OggAEIQJABCECQAQhAkAEIQJABC+D/SANzBqN6AGQAAAABJRU5ErkJggg==\n", 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\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "%Scope 2:\n", - "plot(out(1,:),out(3,:),out(1,:),out(4,:)); " + "#Scope 2:\n", + "plt.plot(out[0,:],out[3,:],out[0,:],out[4,:]);\n", + "plt.show()" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Octave", - "language": "octave", - "name": "octave" + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" }, "language_info": { - "file_extension": ".m", - "help_links": [ - { - "text": "GNU Octave", - "url": "https://www.gnu.org/software/octave/support.html" - }, - { - "text": "Octave Kernel", - "url": "https://github.com/Calysto/octave_kernel" - }, - { - "text": "MetaKernel Magics", - "url": "https://metakernel.readthedocs.io/en/latest/source/README.html" - } - ], - "mimetype": "text/x-octave", - "name": "octave", - "version": "4.2.2" + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" } }, "nbformat": 4, diff --git a/notebooks/V07_steuerbarkeit_und_beobachtbarkeit.ipynb b/notebooks/V07_steuerbarkeit_und_beobachtbarkeit.ipynb index 8f7454479a437755973a9475f6f83dd2322117f3..8f9a3248590a2a6e7f830d3675b0e845a506290b 100644 --- a/notebooks/V07_steuerbarkeit_und_beobachtbarkeit.ipynb +++ b/notebooks/V07_steuerbarkeit_und_beobachtbarkeit.ipynb @@ -7,6 +7,18 @@ "# <span style='color:OrangeRed'>V7 - Steuerbarkeit und Beobachtbarkeit</span>" ] }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "from systheo2functions import *\n", + "%matplotlib inline" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -37,11 +49,11 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ - "A = [-1 -1 -2; 0 -1 1; 1 0 -1];" + "A = np.array([[-1,-1,-2],[0,-1,1],[1,0,-1]]);" ] }, { @@ -58,11 +70,11 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ - "b = [2; 0; 1];" + "b = np.array([[2],[0],[1]]);" ] }, { @@ -77,11 +89,11 @@ }, { "cell_type": "code", - "execution_count": 32, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ - "c = [1 1 0];" + "c = np.array([1,1,0]);" ] }, { @@ -125,58 +137,60 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "S_C =\n", - "\n", - " 2 -4 1\n", - " 0 1 0\n", - " 1 1 -5\n", - "\n" + "S_C:\n", + "[[ 2 -4 1]\n", + " [ 0 1 0]\n", + " [ 1 1 -5]]\n" ] } ], "source": [ - "S_C = [b A*b A*A*b]" + "column1 = b\n", + "column2 = np.matmul(A,b)\n", + "column3 = np.matmul(np.matmul(A,A),b)\n", + "S_C = np.c_[column1,column2,column3]\n", + "print(\"S_C:\\n\"+str(S_C))" ] }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "ans = -11\n" + "Determinante: -11.0\n" ] } ], "source": [ - "det(S_C)" + "print_det(S_C)" ] }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "ans = 3\n" + "Rang: 3\n" ] } ], "source": [ - "rank(S_C)" + "print_rank(S_C)" ] }, { @@ -212,58 +226,57 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "S_O =\n", - "\n", - " 1 1 0\n", - " -1 -2 -1\n", - " 0 3 1\n", - "\n" + "S_C:\n", + "[[ 1 -1 0]\n", + " [ 1 -2 3]\n", + " [ 0 -1 1]]\n" ] } ], "source": [ - "S_O = [c; c*A; c*A*A]" + "S_O = np.c_[c, np.matmul(c,A), np.matmul(np.matmul(c,A),A)]\n", + "print(\"S_C:\\n\"+str(S_O))" ] }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "ans = 2\n" + "Determinante: 2.0\n" ] } ], "source": [ - "det(S_O)" + "print_det(S_O)" ] }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "ans = 3\n" + "Rang: 3\n" ] } ], "source": [ - "rank(S_O)" + "print_rank(S_O)" ] }, { @@ -278,29 +291,21 @@ ], "metadata": { "kernelspec": { - "display_name": "Octave", - "language": "octave", - "name": "octave" + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" }, "language_info": { - "file_extension": ".m", - "help_links": [ - { - "text": "GNU Octave", - "url": "https://www.gnu.org/software/octave/support.html" - }, - { - "text": "Octave Kernel", - "url": "https://github.com/Calysto/octave_kernel" - }, - { - "text": "MetaKernel Magics", - "url": "https://metakernel.readthedocs.io/en/latest/source/README.html" - } - ], - "mimetype": "text/x-octave", - "name": "octave", - "version": "4.2.2" + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" } }, "nbformat": 4, diff --git a/notebooks/V08_regelung_im_zustandsraum.ipynb b/notebooks/V08_regelung_im_zustandsraum.ipynb index 25de1270c7728170e107577cda5963f5b9fbb7a8..c6e9939a1f466ca5ded467cb7f06aef5667a822b 100644 --- a/notebooks/V08_regelung_im_zustandsraum.ipynb +++ b/notebooks/V08_regelung_im_zustandsraum.ipynb @@ -7,6 +7,16 @@ "# <span style='color:OrangeRed'>V8 - Regelung im Zustandsraum</span>" ] }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "from systheo2functions import *\n", + "%matplotlib inline" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -43,29 +53,21 @@ " \\end{array}\\right] {\\Rightarrow} Rang~S_c = 2$ " ] }, - { - "cell_type": "code", - "execution_count": 1, - "metadata": {}, - "outputs": [], - "source": [ - "pkg load control" - ] - }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ - "A = [1 1;\n", - " -2 -1];\n", + "A = np.array([[1,1],\n", + " [-2,-1]])\n", "\n", - "B = [0; 1];\n", + "B = np.array([[0],\n", + " [1]])\n", "\n", - "C = [1 0];\n", + "C = np.array([1,0])\n", "\n", - "D = 0;" + "D = np.array([0])" ] }, { @@ -85,20 +87,22 @@ "name": "stdout", "output_type": "stream", "text": [ - "Steuerbarkeit des System\n", - "S_c =\n", - "\n", - " 0 1\n", - " 1 -1\n", + "Steuerbarkeit des Systems:\n", + "S_c:\n", + "[[ 0 1]\n", + " [ 1 -1]]\n", "\n", - "ans = 2\n" + "Rang: 2\n" ] } ], "source": [ - "disp('Steuerbarkeit des System');\n", - "S_c = [B A*B]\n", - "rank(S_c)" + "print('Steuerbarkeit des Systems:');\n", + "column1 = B\n", + "column2 = np.matmul(A,B)\n", + "S_c = np.c_[column1,column2]\n", + "print(\"S_c:\\n\"+str(S_c)+\"\\n\")\n", + "print_rank(S_c)" ] }, { @@ -126,18 +130,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "Eigenwerte\n", - "ans =\n", - "\n", - " -0.00000 + 1.00000i\n", - " -0.00000 - 1.00000i\n", - "\n" + "Eigenwerte:\n", + "(-0+1j)\n", + "(-0-1j)\n" ] } ], "source": [ - "disp('Eigenwerte');\n", - "eigs(A)" + "print_eig(A)" ] }, { @@ -159,21 +159,17 @@ "output_type": "stream", "text": [ "Regler\n", - "pd =\n", - "\n", - " -3 + 3i -3 - 3i\n", - "\n", - "F =\n", - "\n", - " 23.0000 6.0000\n", - "\n" + "pd:[(-3+3j), (-3-3j)]\n", + "F:[[23. 6.]]\n" ] } ], "source": [ - "disp('Regler');\n", - "pd = [-3+1j*3 -3-1j*3]\n", - "F = place(A,B,pd)" + "print('Regler');\n", + "pd = [-3+1j*3,-3-1j*3]\n", + "print(\"pd:\"+str(pd))\n", + "F = signal.place_poles(A, B, pd).gain_matrix\n", + "print(\"F:\"+str(F))" ] }, { @@ -193,15 +189,10 @@ ] }, { - "attachments": { - "Slide1.PNG": { - "image/png": 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" - } - }, "cell_type": "markdown", "metadata": {}, "source": [ - "<img src=\"attachment:Slide1.PNG\" width=\"700\"/>" + "<img src=\"bilder/v08_A.png\" width=\"700\"/>" ] }, { @@ -214,29 +205,23 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ - "% Simulink model A\n", - "% Set the Octave Engine to run the simulation\n", - "% Simulation Parameters\n", - "addpath(\"./Octsim\");\n", - "% Start time\n", - "tini = 0;\n", - "% End time\n", - "tfinal = 10;\n", - "% Time Step\n", - "dt = 0.01;\n", - "% Number of data flows in the schematic\n", - "nflows = 4;\n", - "% Initial conditions\n", - "xo = [2; 2];\n", + "#Regelkreis A\n", "\n", - "C2 = eye(2);\n", + "tini = 0 # Start time\n", + "tfinal = 10 # End time\n", + "dt = 0.01 # Time Step\n", + "nflows = 6 # Number of data flows in the schematic\n", "\n", - "% Instance of the simulation schematic\n", - "sc1 = Schema(tini,tfinal,dt,nflows);" + "xo = np.array([[2],\n", + " [2]])\n", + "C2 = np.array([[1, 0],\n", + " [0, 1]])\n", + "\n", + "sc = Schema(tini,tfinal,dt,nflows) # Instance of the simulation schematic" ] }, { @@ -251,11 +236,11 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [], "source": [ - "c1{1} = Constant(1,0);" + "c1_1 = Constant(1,0);" ] }, { @@ -269,11 +254,11 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [], "source": [ - "c1{2} = StateSpace(1,[2 3],A,B,C2,D,xo);" + "c1_2 = StateSpace([1],[2,3],A,B,C2,D,xo);" ] }, { @@ -287,36 +272,40 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ - "c1{3} = Gain([2 3],4,-F); " + "c1_3 = Gain([2,3],[4],-F); " ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, "outputs": [ { "data": { - "image/png": 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+ "image/png": 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\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "sc1.AddListComponents(c1);\n", + "sc.AddListComponents(np.array([c1_1,c1_2,c1_3]));\n", "\n", - "% Run the schematic and plot\n", - "out1 = sc1.Run([2 3 4]);\n", - "plot(out1(1,:),out1(2,:),'r','LineWidth',4 ,out1(1,:),out1(3,:), 'b','LineWidth',4); %Output Signal 1 & 2\n", - "legend('State-Space 1, x_{dot}','State-Space 1, y')" + "# Run the schematic and plot\n", + "out1 = sc.Run(np.array([2, 3, 4]));\n", + "plt.plot(out1[0,:],out1[1,:],'r',out1[0,:],out1[2,:], 'b'); #Output Signal 1 & 2\n", + "plt.grid()\n", + "plt.legend(['State-Space 1, x_{dot}','State-Space 1, y'])\n", + "plt.show()" ] }, { @@ -337,23 +326,27 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 11, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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NRxEOqrC4kGmbpnFH+B2EBYWZjlMu1jyS7621jtRadyq5PwlYqrVuASwtuS9cwJbDW/h97++M7zTeIS7tZy1hQWFER0QzddNU8ovyTccRDmhh+kKOnDnC/ZHOcRQPth2uGQxML/l6OhBtw7aEHX269lP8vPwYEznGdBSrm9BpAsfyjhGbHGs6inBA0zdPJ6RKCP2a9zMdpdyUNVbgU0rtBE4AGvhca/2FUuqk1jq41GtOaK0vGbJRSo0DxgGEhoZGzZo1q0IZcnJyCAwMrNC2zspEn/OL8xn6x1C61erG8xHP27VtsH2fLdrCPWvuoa5fXd6+7m2btXMt5HfbMZwuPM3QP4YyOGwwjzZ/1Or7r0yfe/fuvb7UKMpfaa0rfQPCSv6tDWwGegInL3rNibL2ExUVpSsqMTGxwts6KxN9nrF5huZldOJO+7ettX36/K/l/9LqZaV3nthp87bKQ363HcPHaz7WvIzeeHCjTfZfmT4D6/QV6qpVhmu01gdK/s0C5gGdgcNKqboAJf9mWaMtYdbUTVNpWr0pPRv1NB3FZu677j4Apm+aXsYrhTv5evPXtA9tT2SdSNNRrkmli7xSKkApFXT+a6AvsA1YANxX8rL7gPjKtiXM2nliJ8t2LmNs5FiX+sD1Yo2CG9GnaR+mbZ4mlwcUAKQdTWP1/tXc2/5e01GumTX+p4YCK5VSm4E1wI9a64XA68CtSqkdwK0l94UTm755Ogp14UjXlY2NHMuuk7tYvmu56SjCAUzfPB1P5cmo9s63RpNXZXegtc4ELrlShNb6GOA6k6jdnEVbmLZpGrc2u5UG1RqYjmNzMRExVPOtxtRNU7m5yc2m4wiDii3FzNgyg9ua30adwDqm41wz133PLawqcWciu0/tZmzkWNNR7MLf258RbUcQmxzLqfxTpuMIg37d/Sv7Tu9z2newUuRFuXy16SuC/YKJjog2HcVuxnYYS15RHt8nf286ijDou63fEegTyB0t7zAdpUKkyIsynco/RVxKHCPbjsTPy890HLu5Pux6WtZsycytM01HEYYUFBcQmxJLdEQ0/t7+puNUiBR5Uaa4lDjyi/K59zrnm1lQGUopRrUbxa+7fmXvqb2m4wgDFmUs4kT+CUa0HWE6SoVJkRdlmrl1Js2qN6Nzvc6mo9jdyHYj0Wi+2/ad6SjCgFnbZlHDvwa3NL3FdJQKkyIvrupg9kGW7VzGqHajnPIarpXVvEZzutTrIkM2buhM4Rnmp85naKuhDn2h7rJIkRdXNWvbLDSake1Gmo5izD3t72HL4S1sy9pmOoqwox+3/0huYS7D2w43HaVSpMiLq5q5dSZRdaMIrxVuOooxw9oMw1N5MnOLHM27k++2fUfdwLpOv4SHFHlxRWlH01h/cD2j2jnfWX7WVDugNn2b9eXbbd/KMgdu4lT+KX7a8dO5P/BOcIm/q5EiL67o263folDc3fZu01GMG9VuFHtO7eH3Pb+bjiLsYH7qfM4Wn3X6oRqQIi+uQGvNzK0zubnJzU5zmTNbGhwxmCreVeQDWDcxK2kWjYMb06VeF9NRKk2KvLisNfvXkHEiw+2Has4L9AlkcPhg5ibPpchSZDqOsKHjecdZkrmEu9vc7RIzyqTIi8uauXUmvp6+DGk1xHQUhzGszTCO5R0jcWei6SjChhakLaDIUsTQ1kNNR7EKKfLiEkWWImYnzWZgy4FU86tmOo7D6Ne8H4E+gcxJmmM6irChuclzaVStEVF1o0xHsQop8uISK/esJCs3yyU+dLImPy8/BocPJi41jsLiQtNxhA2cPnuaxZmLGdJqiEsM1YAUeXEZscmx+Hn50b95f9NRHM6wNsM4nnecZTuXmY4ibCBhewIFxQUuM1QDUuTFRSzawrzUefRr3o8AnwDTcRxO32Z9CfIJkiEbFxWbEktYUBhd63c1HcVqpMiLv1i7fy37s/czJEI+cL0cPy8/BkcMZl7qPAqKC0zHEVaUW5DLzzt+JiYixqWuYew6PRFWEZcSh5eHF3eEO+cFEuxhWOthnMg/wdLMpaajCCv6Of1n8oryXGqoBqTIi1K01sSmxNKnSR+C/YJNx3FYfZv1papvVeYky5CNK4lNiSWkSgg9GvYwHcWqpMiLC7ZmbSXjRIbMjS+Dr5cv0RHRzEuRIRtXkV+UT8L2BKIjop1+rZqLVbrIK6UaKKUSlVIpSqkkpdQTJY+/rJTar5TaVHK7vfJxhS3FpcShUAwOH2w6isMb1noYp86eYnHGYtNRhBUsylhETkEOd7a603QUq7PGkXwRMFFr3QroCjyqlGpd8ty7WuvIkttPVmhL2FBcShw9GvUgNDDUdBSHd2uzWwn2C5YhGxcRmxJLdb/q3NzkZtNRrK7SRV5rfVBrvaHk62wgBahX2f0K+9pxbAdbs7bKrJpy8vH0YVD4IH5I+0FOjHJyBcUFLEhbwKDwQXh7epuOY3Ve1tyZUqox0AFYDXQHHlNK3Qus49zR/onLbDMOGAcQGhrK8uXLK9R2Tk5Ohbd1Vtbs83d7zl3DtM7JOg79fXSkn3OLohacyD/BBws+IKq67U6Bd6Q+24s9+7zm+BpO5p+kZVFLo99nm/VZa22VGxAIrAeGlNwPBTw5927hVeCrsvYRFRWlKyoxMbHC2zora/a58387605fdLLa/mzFkX7OZwrO6CqvVtETEibYtB1H6rO92LPP4xaM04GvBeq8wjy7tXk5lekzsE5foa5aZXaNUsobiAVmaq3jSv54HNZaF2utLcB/gc7WaEtY395Te1mzf41LfuhkS/7e/vRv3p95qfPkilFOyqItLNi+gH7N++Hn5Wc6jk1YY3aNAqYAKVrrd0o9XrfUy2IAuQqyg5qXOg9Apk5WwJBWQziUc4g/9/1pOoqogLX713Io55BLzyizxpF8d2A0cPNF0yXfUEptVUptAXoDT1mhLWEDcSlxtAlpQ8uaLU1HcToDWgzA28ObuJQ401FEBcSnxeOpPLm9hevO8K70B69a65XA5dbklCmTTiArN4sVe1bwQo8XTEdxStX8qnFL01uYlzqPN29902WWp3UX8Wnx9GzUkxr+NUxHsRk549XNxafGY9EWGaqphCGthpB5IpMth7eYjiKuQfrxdJKPJLv0UA1IkXd7calxNK3elPah7U1HcVqDwgfhoTxkyMbJxKfGA+cu0u7KpMi7sZP5J1mauZQhEa5zFRwTagfUpkfDHsSlSpF3JvFp8bQPbU/j4Mamo9iUFHk3lrA9gUJLIXe2lqmTlRUTEcO2rG1sP7bddBRRDkfPHOX3vb+7/FANSJF3a3EpcYQFhdG5npzCUFkxrWIAmJcyz3ASUR4J2xOwaIsUeeG6cgtyWZi+0OWugmNKw2oN6RTW6cI5B8KxxafFU79qfTrW7Wg6is3J/2439UvGL+QV5cmsGisaEjGE1ftXs+/0PtNRxFXkFeaxKGMRg1oOcovPoqTIu6nYlFhq+tekZ6OepqO4jPN/MOenzjcbRFzVkswlnCk84/Kzas6TIu+GzhadJWF7AoPDB+PlYdWFSN1aeK1wWoe0JjYl1nQUcRXxafFU9a3KTY1vMh3FLqTIu6FlO5dx+uxpGaqxgZiIGFbsXsGxM8dMRxGXUWwp5oftP9C/eX98PH1Mx7ELKfJuKDYlliCfIG5peovpKC4nJiKGYn2ukAjHs3r/arJys9xiVs15UuTdTJGliPi0eAa2HIivl6/pOC6nY92ONKjaQGbZOKj41Hi8PLzo36K/6Sh2I0Xezazcs5KjZ47KUI2NKKWIjohmUcYicgtyTccRF4lPi+emxjcR7BdsOordSJF3M3Epcfh5+dGveT/TUVxWTEQM+UX5/JLxi+koopS0o2mkHUtzq6EakCLvVizaQlxKHP2a9yPQJ9B0HJfVo1EPavjXkCEbBxOfdm5BskHhgwwnsS8p8m5k7f617M/ez5AIGaqxJS8PL+5oece5tYGKC03HESXi0+LpUKcDDas1NB3FrqTIu5G4lDi8PLwY2HKg6SguLyYihpP5J/l196+mowjgcM5h/tj7h9sN1YAUebehtSYuNY6bm9xMdf/qpuO4vL7N+lLFu4osWOYgErYnoNFuc5ZraVLk3cTWrK2kH0/nzlayrLA9+Hv70695P+anzceiLabjuL34tHgaVWvEdaHXmY5id1Lk3URcShwK5ZZvV02JDo/mQPYB1u5fazqKW8styGVx5mIGhbvHgmQXkyLvJuJS4rix4Y2EBoaajuI2BrYciJeHlyxYZtjizMXkF+W77QGOzYu8UqqfUipNKZWulJpk6/bEpXYc28HWrK0yVGNn1f2rc1Pjm2QqpWHxafEE+wW77YqrNi3ySilP4GOgP9AaGKGUam3LNsWlzl9g+vzVi4T9xETEkHYsjZQjKaajuKViSzEJ2xO4vcXteHt6m45jhK2P5DsD6VrrTK11ATALcM/3TAbFpcbRKayT280PdgTnhwjkaN6MVXtXcfTMUbcdqgGw9WLi9YC9pe7vA7qUfoFSahwwDiA0NJTly5dXqKGcnJwKb+usytPnrPws1uxfw4NNHnSJ748z/pwjgiKYsXYG3Yq7VWh7Z+xzZVmrz59mfIqX8iLgYADLj1R+f7Zks5+z1tpmN+Au4MtS90cDH17p9VFRUbqiEhMTK7ytsypPn9//833Ny+i0o2m2D2QHzvhznrxisuZl9N5Teyu0vTP2ubKs0WeLxaKbf9Bc3zbjtsoHsoPK9BlYp69QV209XLMPaFDqfn3ggI3bFKXEpcTRJqQNLWu2NB3FbcVEnPssRGbZ2Ffq0VTSj6e73Vo1F7N1kV8LtFBKNVFK+QDDgQU2blOUyMrNYsWeFbKssGHhtcKJqBUh4/J25q4Lkl3MpkVea10EPAb8AqQAc7TWSbZsU/xPfGo8Fm2RIu8AYiJi+HXXrxzPO246ituIT4snqm4U9avWNx3FKJvPk9da/6S1bqm1bqa1ftXW7Yn/iUuNo2n1pm55KrejOX9ZwITtCaajuIVDOYdYvW+1W8+qOU/OeHVRJ/NPsjRzKUMihrjlqdyOplNYJ+pXrS9DNnbyQ9oPbrsg2cWkyLuoH7f/SKGlUIZqHIRSiujwaH5J/4UzhWdMx3F58WnxNA5uTLva7UxHMU6KvIuKTYklLCiMLvW7lP1iYRfREdHkFeWxKGOR6SguLbcglyWZSxjU0j0XJLuYFHkXlFuQy8L0hcRExOCh5EfsKHo26kl1v+oyZGNjizIWcbb4rAzVlJAK4IJ+yfiFvKI8GapxMN6e3twRfgc/pP0glwW0ofMLkvVo2MN0FIcgRd4FxaXEUdO/ptuuuufIYiJiOJF/gt92/2Y6iksqshSRsD2BAS0GuO2CZBeTIu9izhad5YftPzA4fDBeHrZemkhcq77N+uLv5S9nv9rIqr2rOJZ3TKZOliJF3sUs27mM02dPy1CNg6riXYXbmt/G/LT559dzEla0IG0B3h7e3Nb8NtNRHIYUeRcTlxJHkE8QfZr2MR1FXEFMRAz7Tu9j3YF1pqO4FK018Wnx3NzkZqr6VjUdx2FIkXchRZYi5qfNZ0DLAfh5+ZmOI65gYMuBeCpPGbKxspSjKaQfT5ehmotIkXchK3av4OiZo3KZPwdXw78GvRr3kqmUVhafKguSXY4UeRcSmxKLv5c//Zv3Nx1FlCEmIoaUoymkHU0zHcVlxKfF0ymsE/Wq1jMdxaFIkXcRFm0hLiWO/i36E+ATYDqOKEN0RDQglwW0loPZB1m9fzWDWspR/MWkyLuIP/b+wcGcgzJU4yTqV63P9WHXy7i8lZxf3VPOcr2UFHkXEZsSi4+nDwNbDjQdRZRTdEQ0q/evZv/p/aajOD1ZkOzKpMi7AK01sSmx9G3WV6aOOZHzlwU8fwUjUTE5BTksyVzC4PDBsiDZZUiRdwHrDqxjz6k9MlTjZFqFtCK8ZriMy1fSzzt+5mzx2Qt/NMVfSZF3AXOT5+Ll4SVTx5xQTEQMy3ct50TeCdNRnFZcahwhVUK4seGNpqM4JCnyTu78UM3NTW6mhn8N03HENYqOiKbIUsSPO340HcUp5Rflk7A9gcHhg/H08DQdxyFJkXdyWw5vIeNEBkNbDTUdRVTA9fWuJywoTIZsKmhp5lJyCnJkraarqFSRV0q9qZRKVUptUUrNU0oFlzzeWCmVp5TaVHL7zCppxSXmJs/FQ3lcmHctnIuH8iA6PJqF6QvJK8wzHcfpzEudR1Xfqtzc5GbTURxWZY/kFwNttdbtge3Ac6Wey9BaR5bcxleyHXEFsSmx9GrUi5CAENNRRAXFtIrhTOEZFmcuNh3FqRRZiohPi2dgy4H4evmajuOwKlXktdaLtNZFJXf/BOpXPpIor125u0g5miKzapxcr0a9CPYLliGba7Ryz0qOnjnKkAgZqrkaa15V4n5gdqn7TZRSG4HTwAta6xWX20gpNQ4YBxAaGsry5csr1HhOTk6Ft3VWSw4sASD0RMW/b87GVX/O11e9nrhtcdxT9R481V8/QHTVPl9Nefr8QfoH+Hj4UOVgFZZnXf21zsBmP2et9VVvwBJg22Vug0u95h/APECV3PcFapZ8HQXsBaqW1VZUVJSuqMTExApv66yavdlMd5/S3XQMu3LVn3NscqzmZfSyzGWXPOeqfb6asvpcbCnW9d6up6NnRdsnkB1U5ucMrNNXqKtlDtdorW/RWre9zC0eQCl1HzAQGFXSGFrrs1rrYyVfrwcygJbW+bMkAFKPppKRm8HQ1jKrxhXc1uw2/Lz8ZC2bclp3YB37s/fLUE05VHZ2TT/gWWCQ1vpMqcdDlDr3nlMp1RRoAWRWpi3xV7O3zUahGNZmmOkowgoCfALo26yvXBawnOJS4vDy8JK1msqhsrNrPgKCgMUXTZXsCWxRSm0G5gLjtdbHK9mWKKG1ZlbSLNpXa09YUJjpOMJKYiJi2HNqDxsObjAdxaHpUicAVvevbjqOw6vUB69a6+ZXeDwWiK3MvsWVbc3aSurRVJ5q8ZTpKMKK7mh5B57Kk3mp84gKizIdx2ElHUki/Xg6f7vhb6ajOAU549UJzd42G0/lSc9aPU1HEVZUs0pNejbqKePyZYhLiUOhZO34cpIi72TOD9X0adqHYJ9g03GElUVHRJN0JIntx7abjuKw5iTNoXvD7tQJrGM6ilOQIu9k1h1YR+aJTIa3GW46irCB88vlzk2eaziJY0rKSiLpSBJ3t7nbdBSnIUXeycxOmo23h7esVeOiGlRrQPcG3Zm1bZbpKA7p++TvUSg5y/saSJF3IhZtYXbSbPo17yezClzY8LbD2Zq1laSsJNNRHIrWmtlJs+nVuBd1g+qajuM0pMg7kVV7V7Hv9D55q+rihrYeiofyYHbS7LJf7Ea2ZW0j9Wgqw1rLuSHXQoq8E5m9bTZ+Xn5yBSgXVyewDr0b92Z20mw5MaqU2Umz8VAe3NlahmquhRR5J1FkKWJO8hwGtBhAkG+Q6TjCxoa3Hc72Y9vZdGiT6SgOQWvNnKQ59G7cm9oBtU3HcSpS5J3EooxFZOVmcU/7e0xHEXYwpNUQvDy85APYEpsPb2bH8R2yjEcFSJF3EjO2zKCGfw1ub3G76SjCDmr416Bvs77MSpolQzb87wRAuczftZMi7wROnz3N/NT53N3mbnw8fUzHEXYyvM1w9pzaQ/LpZNNRjNJaMyd5Dn2a9qFWlVqm4zgdKfJOIDY5lvyifEa3H206irCjwRGD8fX0ZdmRZaajGLX+4HoyT2TKrJoKkiLvBGZsmUHzGs3pWr+r6SjCjqr6VmVAywEsP7KcYkux6TjGzNwyEx9PHxmqqSAp8g5u76m9LN+1nHva3YNSynQcYWfD2wzneMFxlu9abjqKEUWWIr7b9h0DWgyQEwArSIq8g5u5dSYaLbNq3NTAlgMJ8Azgm63fmI5ixNLMpRzOPSy//5UgRd6Baa2ZsWUG3Rp0o1mNZqbjCAP8vf3pFdKLuclzyS3INR3H7r7Z+g3BfsEyq6wSpMg7sA0HN5B8JFk+cHVzfUP7klOQ43brzOcU5BCXEsddre/Cz8vPdBynJUXegU3ZOAU/Lz9Zq8bNtavWjsbBjfl6y9emo9hVfGo8ZwrPyFBNJUmRd1BnCs/w7dZvGdp6qHzg5OY8lAej249mSeYS9p/ebzqO3czcOpOG1RpyY8MbTUdxalLkHVRsciynzp7igQ4PmI4iHMDo9qOxaAvfbv3WdBS7OF5wnEUZixjVbhQeSspUZch3z0F9ufFLmtdoTq9GvUxHEQ6gRc0WdK3flembp7vFMgeJWYkU62IZqrGCShV5pdTLSqn9SqlNJbfbSz33nFIqXSmVppS6rfJR3cf2Y9v5bfdvPNDhAZkbLy64t/29JB1JcouVKRceXkiHOh1oHdLadBSnZ40j+Xe11pElt58AlFKtgeFAG6Af8IlSytMKbbmFrzZ+hafy5L7r7jMdRTiQu9vejbeHN9M3TzcdxaY2HNxAek66DFVaia2GawYDs7TWZ7XWO4F0oLON2nIphcWFTN88nQEtB8glzsRf1PCvQXRENDO2zCC/KN90HJuZsmEK3sqbke1Gmo7iEryssI/HlFL3AuuAiVrrE0A94M9Sr9lX8tgllFLjgHEAoaGhLF++vEIhcnJyKrytI1lxdAWHcg7R2atzmf1xlT5fC3fvc2fPznyf9z2vxr1Kn9p9zAazgbPFZ5m+cTrdqndj8+rNpuPYlc1+t7XWV70BS4Btl7kNBkIBT869I3gV+Kpkm4+Be0rtYwpwZ1ltRUVF6YpKTEys8LaOpM/0PrrBOw10YXFhma91lT5fC3fvc7GlWDd5r4nuPa23uUA29M3mbzQvo9+Oe9t0FLurzO82sE5foa6WeSSvtb6lPH8slFL/BRJK7u4DGpR6uj5woDz7cWcpR1JYunMpr938Gl4e1niTJVyNh/LgwY4P8o9l/2DHsR20qNnCdCSrmrJxCk2CmxAZHGk6isuo7Oya0oPGMZw7wgdYAAxXSvkqpZoALYA1lWnLHXyy9hN8PH14sOODpqMIBzY2ciyeypMvN3xpOopVZRzPIHFXIvd3uF/mxltRZb+TbyiltiqltgC9gacAtNZJwBwgGVgIPKq1dt8Fscsh+2w20zdP5+42dxMSEGI6jnBgdYPqMrDlQKZtnkZBcYHpOFYzddNUPJQHYyLHmI7iUipV5LXWo7XW7bTW7bXWg7TWB0s996rWupnWOlxr/XPlo7q2b7Z8Q3ZBNo9e/6jpKMIJPNTxIbJys/gh7QfTUayioLiALzd8Sf/m/alftb7pOC5F3hM5AK01H6/9mKi6UXSuJzNNRdn6Ne9H/ar1+Wz9Z6ajWEVcShyHcw/LQY4NSJF3AIsyFpF0JIn/6/x/coarKBdPD08mdJrAkswlJB9x/gt9f7z2Y5pVb8ZtzeXkeGtzmSKfejrVaa+D+eaqN6kXVI8R7UaYjiKcyEMdH8LX05eP1nxkOkqlbD60mZV7VvLI9Y/IB6424BLf0aWZS5mwcQLzUueZjnLNNhzcwNKdS3miyxP4ePqYjiOcSEhACCPbjWT65umczD9pOk6Ffbz2Y/y9/BkbOdZ0FJfkEkX+psY30cC/Aa+teM3pVuh7c9WbBPkEMS5qnOkowgn9X+f/40zhGb7a+JXpKBVyMv8kM7fOZFS7UXLdBBtxiSLv6eHJiIYj2HhoIwvTF5qOU267Tu7i+6TveTjqYar5VTMdRzihDnU70KNhDz5a85FTDld+tfErzhSe4dHO8oGrrbhEkQe4pfYtNKjagNdWvmY6Srm9+8e7KKV4ousTpqMIJ/Z4l8fZeXInCdsTyn6xAyksLuTdP9/lpsY3EVkn0nQcl+UyRd7bw5tnuj/Dyj0r+W33b6bjlOlg9kG+2PAF97S/R+YFi0qJjoimcXBj/vP7f5xquHLWtlnsO72Pv3f7u+koLs1lijzAAx0eoHZAbV5d8arpKGX6z+//obC4kBd6vGA6inByXh5e/L3b3/lj3x9OcYAD584NeXPVm7QJaUP/5v1Nx3FpLlXk/b39mXjDRBZlLOL3Pb+bjnNFB7IP8Nm6z7j3untpVqOZ6TjCBYyNHEvtgNpMXjnZdJRyWZSxiK1ZW/lbt7/JuSE25lJFHuDR6x+lTmAdJi2d5LBvXV9f+TrFupgXespRvLAOf29/nur6FL9k/MKGgxtMxynTG6veICwoTC4MYgcuV+QDfAJ4seeLrNyzkp/THW/JnH2n9/HF+i8Yc90YmlZvajqOcCETOk2gqm9VXl/5uukoV7Vyz0qW7VzG012flnND7MDlijzAgx0fpGn1pjy39Dks2mI6zl/8Y9k/AOQoXlhdNb9qPHr9o8xNnkvKkRTTca7on8v/SWhAKBOun2A6iltwySLv4+nDK71fYcvhLXy79VvTcS5Yf2A9X2/+mie7Pkmj4Eam4wgX9FTXpwjwCeCl5S+ZjnJZv+3+jWU7l/Fs92ep4l3FdBy34JJFHmB42+FE1Y3i2SXPkn0223QctNZMXDSRWlVq8dyNz5mOI1xUSEAIT3d9mrnJc1l/YL3pOJf45/J/UiewDuM7jTcdxW24bJH3UB58dPtHHMg+wCu/vWI6DvNS5/Hr7l/5103/krNbhU1N7DaRmv41LwwNOoplO5exfNdyJnWfhL+3v+k4bsNlizxA1/pduT/yft79811Sj6Yay5F9NpvHf36c9qHteajjQ8ZyCPdQ1bcqz934HL9k/MKvu341HQeAYksxExdNpGG1hjzc6WHTcdyKSxd5gMm3TCbQJ5DHfnrM2JTKFxNf5ED2AT4f+Dnent5GMgj38sj1j1AvqB4TF010iDVtZmyZwaZDm3i9z+v4efmZjuNWXL7I1w6ozeQ+k1m6cyn/3fBfu7e//sB6PlzzIeM7jadr/a52b1+4J39vf9649Q3WH1zP1E1TjWbJLcjlH8v+Qed6nRnedrjRLO7I5Ys8wLiocfRp0oenf3manSd22q3dM4VnGD1vNKEBobzWx3kWThOuYUTbEdzY8EaeW/ocJ/JOGMsxeeVkDmQf4J2+78jZrQa4RZH3UB58NfgrPJQHY+PH2u3t6zOLnyHlaArTo6cT7BdslzaFOE8pxYf9P+R43nFeTHzRSIakrCT+8/t/GN1+NN0bdjeSwd1VqsgrpWYrpTaV3HYppTaVPN5YKZVX6jnjVxtuWK0hH/T/gF93/8o/l//T5u0lbE/g47Uf81TXp7i12a02b0+Iy4msE8kjnR7hk7WfsGL3Cru2bdEWxiWMo5pvNd7u+7Zd2xb/U6kir7W+W2sdqbWOBGKBuFJPZ5x/TmvtEJNix0SO4YEOD/DqildZkLbAZu1sP7ad0fNGc13odTJMI4ybfMtkGgc35v4F93Om8Izd2v183ees2ruKt/u+TUhAiN3aFX9lleEadW6gbRjwnTX2Z0sf3f4RUXWjGD1vNElZSVbf/6n8Uwz6bhBeHl7MHz5fZhII4wJ9ApkyaArpx9N5funzdmkz9WgqExdN5Namt3LvdffapU1xecoa0wqVUj2Bd7TWnUruNwaSgO3AaeAFrfVl3ysqpcYB4wBCQ0OjZs2aVaEMOTk5BAYGluu1h/IP8djGx1AoPuzwIXX86lSozYvlFecxaeskkk4n8Vb7t4gMjrTKfq/kWvrsKqTPFffBjg+Yd2Ae/27zb7rXst34eIGlgMc2Psbh/MNM6TSFWr61rnkf8nO+Nr17915/vv5eQmt91RuwBNh2mdvgUq/5FJhY6r4vULPk6yhgL1C1rLaioqJ0RSUmJl7T67cc2qKDXw/WzT9orned2FXhds/LK8zTt359q/b4l4eetXVWpfdXHtfaZ1cgfa64vMI83fHzjrra5Go6/Vi6VfZ5ORMSJmheRsenxld4H/JzvjbAOn2FulrmcI3W+hatddvL3OIBlFJewBBgdqltzmqtj5V8vR7IAFpe618nW2oX2o6fRv7EkdwjdP+qO9uytlV4X0dyj3Dz9JtZkrmEL+/4krvb3m3FpEJYh5+XH3PvmouH8uDOOXfaZE2nT9d+yqfrPuWZbs8wKHyQ1fcvrp01xuRvAVK11vvOP6CUClFKeZZ83RRoAWRaoS2ruqHBDawYuwKLtnDDlBuYsXnGNe9jzf41dJ3SlY2HNvL9Xd8ztsNYGyQVwjqaVG/Ct3d+y7asbdw5504Kigustu+fd/zM4wsf5/YWt8uEAwdijSI/nEs/cO0JbFFKbQbmAuO11set0JbVtQttx5qH1tChTgfunX8vd865k4zjGWVudyLvBM8sfoZuU7pRWFxI4n2J3Nn6TjskFqJy+jXvx5eDvmRx5mLuibuHwuLCSu9zaeZSYmbH0D60Pd8O+RZPD08rJBXW4FXZHWitx1zmsVjOTal0CvWr1mfZfct44/c3LkyvjImIYVS7UfRo1IMa/jWAc2ewrtm/htjkWGZsmcHps6cZEzmGd257R052Ek5lTOQYjucdZ+KiieQU5DB32NwKr+8enxrPiNgRtKjZgkX3LJJVVh1MpYu8q/Dy8OL5Hs8zJnIMb616i+mbp/N98vcABHgH4OnhyemzpwHw9fQlplUMk7pP4ro615mMLUSFPX3D0wT5BDH+x/Hc+NWNzLlrDs1rNC/39sWWYt5c9SbPL32eTmGdSBiZQM0qNW2YWFSEFPmLhAWF8c5t7zC5z2TW7F/Dn/v+5GDOQYotxdSqUouOdTvSvWF3OXIXLuGhqIcICwpj9LzRdPy8I/+66V881vmxMldL3XxoM48vfJzfdv/GsDbDmDp4qlzpyUFJkb8CXy9fejTqQY9GPUxHEcKmBrQcwKbxm3g44WGeXvQ0769+nwmdJjA4YjDhNcMvLCp2+uxpft31K9M2T2NeyjyC/YKZOngq9113nyw85sCkyAshaFitIT+N/Imf03/mzVVvMmnpJCYtnUSgTyChAaHkFeVxMPsgGk1IlRCe7f4sz3R/hur+1U1HF2WQIi+EAM6tWnl7i9u5vcXt7DyxkyWZS0g6ksSRM0eo4lWF+lXr061BN3o17oWPp4/puKKcpMgLIS7RpHoTHoqSS1W6ArdYT14IIdyVFHkhhHBhUuSFEMKFSZEXQggXJkVeCCFcmBR5IYRwYVLkhRDChUmRF0IIF2aVa7xai1LqCLC7gpvXAo5aMY4zkD67B+mze6hMnxtprUMu94RDFfnKUEqt01e6kK2Lkj67B+mze7BVn2W4RgghXJgUeSGEcGGuVOS/MB3AAOmze5A+uweb9NllxuSFEEJcypWO5IUQQlxEirwQQrgwlyjySql+Sqk0pVS6UmqS6Ty2ppRqoJRKVEqlKKWSlFJPmM5kD0opT6XURqVUguks9qKUClZKzVVKpZb8vG8wncnWlFJPlfxeb1NKfaeU8jOdydqUUl8ppbKUUttKPVZDKbVYKbWj5F+rXFvR6Yu8UsoT+BjoD7QGRiilWptNZXNFwEStdSugK/CoG/QZ4AkgxXQIO3sfWKi1jgCuw8X7r5SqBzwOdNJatwU8geFmU9nENKDfRY9NApZqrVsAS0vuV5rTF3mgM5Cutc7UWhcAs4DBhjPZlNb6oNZ6Q8nX2Zz7j1/PbCrbUkrVBwYAX5rOYi9KqapAT2AKgNa6QGt90mgo+/AC/JVSXkAV4IDhPFantf4NOH7Rw4OB6SVfTweirdGWKxT5esDeUvf34eIFrzSlVGOgA7DacBRbew94BrAYzmFPTYEjwNSSYaovlVIBpkPZktZ6P/AWsAc4CJzSWi8ym8puQrXWB+HcgRxQ2xo7dYUiry7zmFvMC1VKBQKxwJNa69Om89iKUmogkKW1Xm86i515AR2BT7XWHYBcrPQW3lGVjEMPBpoAYUCAUuoes6mcmysU+X1Ag1L36+OCb+8uppTy5lyBn6m1jjOdx8a6A4OUUrs4Nxx3s1LqG7OR7GIfsE9rff5d2lzOFX1XdguwU2t9RGtdCMQB3QxnspfDSqm6ACX/Zlljp65Q5NcCLZRSTZRSPpz7kGaB4Uw2pZRSnBunTdFav2M6j61prZ/TWtfXWjfm3M93mdba5Y/utNaHgL1KqfCSh/oAyQYj2cMeoKtSqkrJ73kfXPzD5lIWAPeVfH0fEG+NnXpZYycmaa2LlFKPAb9w7pP4r7TWSYZj2Vp3YDSwVSm1qeSx57XWP5mLJGzk/4CZJQcwmcBYw3lsSmu9Wik1F9jAuVlkG3HBJQ6UUt8BNwG1lFL7gH8CrwNzlFIPcO6P3V1WaUuWNRBCCNflCsM1QgghrkCKvBBCuDAp8kII4cKkyAshhAuTIi+EEC5MirwQQrgwKfJCCOHC/j8OHkUcEBPl6gAAAABJRU5ErkJggg==\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "plot(out1(1,:),out1(4,:),'g','LineWidth',4); % Output_4\n", - "legend('out gain F')" + "plt.plot(out1[0,:],out1[3,:],'g'); # Output_4\n", + "plt.grid()\n", + "plt.legend(['out gain F'])\n", + "plt.show()" ] }, { @@ -365,52 +358,49 @@ ] }, { - "attachments": { - "Slide2.PNG": { - "image/png": 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" - } - }, "cell_type": "markdown", "metadata": {}, "source": [ - "<img src=\"attachment:Slide2.PNG\" width=\"700\"/>" + "<img src=\"bilder/v08_B.png\" width=\"700\"/>" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "% Matrices\n", - "C2 = eye(2);\n", + "#Regelkreis B\n", "\n", - "% Instance of the simulation schematic\n", - "sc2 = Schema(tini,tfinal,dt,nflows);\n", + "# Instance of the simulation schematic\n", + "sc2 = Schema(tini,tfinal,dt,nflows)\n", "\n", - "% List of components\n", - "c2{1} = Constant(1,0); %Just for reference for plotting graph, not being used here.\n", - "c2{2} = StateSpace(4,[2 3],A,B,C2,D,xo);\n", - "c2{3} = Gain([2 3],4,-F); \n", + "# List of components\n", + "c2_1 = Constant(1,0); #Just for reference for plotting graph, not being used here.\n", + "c2_2 = StateSpace([4],[2,3],A,B,C2,D,xo);\n", + "c2_3 = Gain([2,3],[4],-F); \n", "\n", - "sc2.AddListComponents(c2);\n", + "sc2.AddListComponents(np.array([c2_1,c2_2,c2_3]));\n", "\n", - "% Run the schematic and plot\n", - "out2 = sc2.Run([2 3 4]);\n", - "plot(out2(1,:),out2(2,:),'r','LineWidth',4 ,out2(1,:),out2(3,:), 'b','LineWidth',4); %Output Signal 1 & 2\n", - "legend('State-Space 1, x_{dot}','State-Space 1, y')\n", - "grid on" + "# Run the schematic and plot\n", + "out2 = sc2.Run(np.array([1,2,3,4]));\n", + "plt.plot(out2[0,:],out2[2,:],'r',out2[0,:],out2[3,:], 'b'); #Output Signal 1 & 2\n", + "plt.grid()\n", + "plt.legend(['State-Space 1, x_{dot}','State-Space 1, y'])\n", + "plt.show()" ] }, { @@ -431,24 +421,27 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 13, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "plot(out2(1,:),out2(4,:),'g','LineWidth',4); % Output_4\n", - "legend('out gain F')\n", - "grid on" + "plt.plot(out2[0,:],out2[4,:],'g'); # Output_4\n", + "plt.grid()\n", + "plt.legend(['out gain F'])\n", + "plt.show()" ] }, { @@ -469,18 +462,22 @@ }, { "cell_type": "code", - "execution_count": 15, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ - "A = [1 1;\n", - " -2 -1];\n", + "A = np.array([[1,1],\n", + " [-2,-1]])\n", + "\n", + "B = np.array([[0],\n", + " [1]])\n", "\n", - "B = [0; 1];\n", + "C = np.array([1,0])\n", "\n", - "C = [1 0];\n", + "D = np.array([0])\n", "\n", - "D = 0;" + "xo = np.array([[2],\n", + " [2]])" ] }, { @@ -493,55 +490,56 @@ }, { "cell_type": "code", - "execution_count": 16, + "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Steuerbarkeit des System\n", - "W =\n", - "\n", - " 0 1\n", - " 1 -1\n", + "Steuerbarkeit des Systems:\n", + "W:\n", + "[[ 0 1]\n", + " [ 1 -1]]\n", "\n", - "ans = 2\n" + "Rang: 2\n" ] } ], "source": [ - "disp('Steuerbarkeit des System');\n", - "W = [B A*B]\n", - "rank(W)" + "print('Steuerbarkeit des Systems:');\n", + "\n", + "column1 = B\n", + "column2 = np.matmul(A,B)\n", + "W = np.c_[column1,column2]\n", + "\n", + "print(\"W:\\n\"+str(W)+\"\\n\")\n", + "\n", + "print_rank(W)" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Eigenwerte\n", - "ans =\n", - "\n", - " -0.00000 + 1.00000i\n", - " -0.00000 - 1.00000i\n", - "\n" + "Eigenwerte:\n", + "(-0+1j)\n", + "(-0-1j)\n" ] } ], "source": [ - "disp('Eigenwerte');\n", - "eigs(A)" + "print_eig(A)" ] }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 17, "metadata": {}, "outputs": [ { @@ -549,21 +547,17 @@ "output_type": "stream", "text": [ "Regler\n", - "pd =\n", - "\n", - " -3 + 3i -3 - 3i\n", - "\n", - "F =\n", - "\n", - " 23.0000 6.0000\n", - "\n" + "pd:[(-3+3j), (-3-3j)]\n", + "F:[[23. 6.]]\n" ] } ], "source": [ - "disp('Regler');\n", - "pd = [-3+1j*3 -3-1j*3]\n", - "F = place(A,B,pd)" + "print('Regler')\n", + "pd = [-3+1j*3,-3-1j*3]\n", + "print(\"pd:\"+str(pd))\n", + "F = control.place(A, B, pd)\n", + "print(\"F:\"+str(F))" ] }, { @@ -575,47 +569,44 @@ ] }, { - "attachments": { - "Slide3.PNG": { - "image/png": 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" - } - }, "cell_type": "markdown", "metadata": {}, "source": [ - "<img src=\"attachment:Slide3.PNG\" width=\"700\"/>" + "<img src=\"bilder/v08_beispiel2.png\" width=\"700\"/>" ] }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "V = 18.000\n" + "V = inv(C*inv(B*F-A)*B)\n", + "V: [[18.]]\n" ] } ], "source": [ - "V = inv(C*inv(B*F-A)*B)" + "V = np.array([1/(np.matmul(C,np.matmul(inv(np.matmul(B,F)-A),B)))])\n", + "print(\"V = inv(C*inv(B*F-A)*B)\")\n", + "print(\"V: \"+str(V))" ] }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ - "% Number of data flows in the schematic\n", - "nflows2 = 6;\n", + "nflows2 = 8 # Number of data flows in the schematic\n", "\n", - "C2 = eye(2);\n", + "C2 = np.array([[1, 0],\n", + " [0, 1]])\n", "\n", - "% Instance of the simulation schematic\n", - "sc3 = Schema(tini,tfinal,dt,nflows2);" + "sc3 = Schema(tini,tfinal,dt,nflows2) # Instance of the simulation schematic" ] }, { @@ -628,12 +619,12 @@ }, { "cell_type": "code", - "execution_count": 21, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ - "c3{1} = StepSource(1,0,1,1);\n", - "c3{2} = Gain(1,2,V);" + "c3_1 = StepSource(1,0,1,1)\n", + "c3_2 = Gain([1],[2],V)" ] }, { @@ -647,48 +638,51 @@ }, { "cell_type": "code", - "execution_count": 22, + "execution_count": 21, "metadata": {}, "outputs": [], "source": [ - "c3{3} = Sum(2,3,4,1,1); " + "c3_3 = Sum(2,3,4,1,1) " ] }, { "cell_type": "code", - "execution_count": 23, + "execution_count": 22, "metadata": {}, "outputs": [], "source": [ - "c3{4} = StateSpace(4,[5 6],A,B,C2,D,xo);\n", - "c3{5} = Gain([5 6],3,-F);\n", - "c3{6} = Gain([5 6],7,[0 1]);" + "c3_4 = StateSpace([4],[5,6],A,B,C2,D,xo)\n", + "c3_5 = Gain([5,6],[3],-F)\n", + "c3_6 = Gain([5,6],[7],np.array([[0,1]]))" ] }, { "cell_type": "code", - "execution_count": 24, + "execution_count": 23, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "sc3.AddListComponents(c3);\n", + "sc3.AddListComponents(np.array([c3_1,c3_2,c3_3,c3_4,c3_5,c3_6]));\n", "\n", - "% Run the schematic and plot\n", - "out3 = sc3.Run([3 5 6]);\n", - "plot(out3(1,:),out3(3,:),'b','LineWidth',4);\n", - "legend('Control Signal')\n", - "grid on" + "#Run the schematic and plot\n", + "out3 = sc3.Run(np.array([1,2,3,4,5,6]));\n", + "plt.plot(out3[0,:],out3[5,:],'b');\n", + "plt.grid()\n", + "plt.legend(['Control Signal'])\n", + "plt.show()" ] }, { @@ -701,24 +695,27 @@ }, { "cell_type": "code", - "execution_count": 25, + "execution_count": 24, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "plot(out3(1,:),out3(2,:),'g','LineWidth',4); % Output_3\n", - "legend('out gain F')\n", - "grid on" + "plt.plot(out3[0,:],out3[3,:],'g'); # Output_3\n", + "plt.legend(['out gain F'])\n", + "plt.grid()\n", + "plt.show()" ] }, { @@ -748,15 +745,17 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 25, "metadata": {}, "outputs": [], "source": [ - "A = [-1 0 0;\n", - " 1 -2 0;\n", - " 0 5 0];\n", + "A = np.array([[-1,0,0],\n", + " [1,-2,0],\n", + " [0, 5,0]])\n", "\n", - "B = [1; 0; 0];" + "B = np.array([[1],\n", + " [0],\n", + " [0]])" ] }, { @@ -769,26 +768,31 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Steuerbarkeit Matrix\n", - "S_c =\n", - "\n", - " 1 -1 1\n", - " 0 1 -3\n", - " 0 0 5\n", + "Steuerbarkeitsmatrix:\n", + "S_c:\n", + "[[ 1 -1 1]\n", + " [ 0 1 -3]\n", + " [ 0 0 5]]\n", "\n" ] } ], "source": [ - "disp('Steuerbarkeit Matrix')\n", - "S_c = [B A*B A*A*B]" + "print('Steuerbarkeitsmatrix:');\n", + "\n", + "column1 = B\n", + "column2 = np.matmul(A,B)\n", + "column3 = matmul_loop([A,A,B])\n", + "S_c = np.c_[column1,column2,column3]\n", + "\n", + "print(\"S_c:\\n\"+str(S_c)+\"\\n\")" ] }, { @@ -801,29 +805,28 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "S_c_inv =\n", - "\n", - " 1.00000 1.00000 0.40000\n", - " 0.00000 1.00000 0.60000\n", - " 0.00000 0.00000 0.20000\n", + "S_c_inv:\n", + "[[ 1.00000000e+00 1.00000000e+00 4.00000000e-01]\n", + " [-5.88324776e-18 1.00000000e+00 6.00000000e-01]\n", + " [-4.57033997e-17 -1.17458319e-16 2.00000000e-01]]\n", "\n", - "s_c_n =\n", - "\n", - " 0.00000 0.00000 0.20000\n", - "\n" + "s_c_n:\n", + "[-4.57033997e-17 -1.17458319e-16 2.00000000e-01]\n" ] } ], "source": [ - "S_c_inv = inv(S_c)\n", - "s_c_n = S_c_inv(3,:)" + "S_c_inv = np.linalg.pinv(S_c)\n", + "print(\"S_c_inv:\\n\"+str(S_c_inv))\n", + "s_c_n = S_c_inv[2,:]\n", + "print(\"\\ns_c_n:\\n\"+str(s_c_n))" ] }, { @@ -844,53 +847,46 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 28, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Pole Vorgabe\n", + "Polvorgabe\n", "p1 = -2, p2,3= -1+/-J\n", - "P =\n", - "\n", - " 4 6 4 1\n", - "\n", - "p1 = -2\n", - "p2 = -1 + 1i\n", - "p3 = -1 - 1i\n", - "v1 =\n", - "\n", - " 0.00000 0.00000 0.20000\n", "\n", - "v2 =\n", + "v1:\n", + "[-4.57033997e-17 -1.17458319e-16 2.00000000e-01]\n", "\n", - " 0 1 0\n", + "v2:\n", + "[-7.17549193e-17 1.00000000e+00 0.00000000e+00]\n", "\n", - "v3 =\n", + "v3:\n", + "[ 1. -2. 0.]\n", "\n", - " 1 -2 0\n", - "\n", - "v4 =\n", - "\n", - " -3 4 0\n", - "\n" + "v4:\n", + "[-3. 4. 0.]\n" ] } ], "source": [ - "disp('Pole Vorgabe')\n", - "disp('p1 = -2, p2,3= -1+/-J')\n", - "P = [4 6 4 1]\n", + "print('Polvorgabe')\n", + "print('p1 = -2, p2,3= -1+/-J')\n", + "P = np.array([4,6,4,1])\n", "p1 = -2\n", "p2 = -1+1j\n", "p3 = -1-1j\n", "\n", "v1 = s_c_n\n", - "v2 = s_c_n*A\n", - "v3 = s_c_n*A*A\n", - "v4 = s_c_n*A*A*A" + "v2 = np.matmul(s_c_n,A)\n", + "v3 = matmul_loop([s_c_n,A,A])\n", + "v4 = matmul_loop([s_c_n,A,A,A])\n", + "print(\"\\nv1:\\n\"+str(v1))\n", + "print(\"\\nv2:\\n\"+str(v2))\n", + "print(\"\\nv3:\\n\"+str(v3))\n", + "print(\"\\nv4:\\n\"+str(v4))" ] }, { @@ -903,22 +899,20 @@ }, { "cell_type": "code", - "execution_count": 30, + "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "F2 =\n", - "\n", - " 1.00000 2.00000 0.80000\n", - "\n" + "F2: [[1. 2. 0.8]]\n" ] } ], "source": [ - "F2 = place(A,B,[p1 p2 p3]) % Nach Polvergabe ist F2 = F" + "F2 = signal.place_poles(A, B, np.array([p1, p2, p3])).gain_matrix \n", + "print(\"F2: \"+str(F2))#Nach Polvergabe ist F2 = F" ] }, { @@ -932,22 +926,20 @@ }, { "cell_type": "code", - "execution_count": 31, + "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "F =\n", - "\n", - " 1.00000 2.00000 0.80000\n", - "\n" + "F: [array([1. , 2. , 0.8])]\n" ] } ], "source": [ - "F = (P(1)*v1+P(2)*v2+P(3)*v3+P(4)*v4) % Rückführfaktor" + "F = [P[0]*v1+P[1]*v2+P[2]*v3+P[3]*v4] #Rückführfaktor\n", + "print(\"F: \"+str(F))" ] }, { @@ -992,43 +984,23 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": 31, "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "A1 =\n", - "\n", - " 1 0\n", - " 0 -1\n", - "\n", - "B1 =\n", - "\n", - " 1\n", - " 0\n", - "\n", - "C1 =\n", - "\n", - "Diagonal Matrix\n", - "\n", - " 1 0\n", - " 0 1\n", - "\n", - "D1 =\n", - "\n", - " 0\n", - " 0\n", - "\n" - ] - } - ], + "outputs": [], "source": [ - "A1 = [1 0; 0 -1]\n", - "B1 = [1; 0]\n", - "C1 = eye(2)\n", - "D1 = [0; 0]" + "A1 = np.array([[1,0],\n", + " [0,-1]])\n", + "\n", + "B1 = np.array([[1],\n", + " [0]])\n", + "\n", + "C2 = np.array([[1,0],\n", + " [0,1]])\n", + "\n", + "D1 = np.array([[0],\n", + " [0]])\n", + "\n", + "F = np.array([[4,0]])" ] }, { @@ -1040,88 +1012,78 @@ ] }, { - "attachments": { - "Slide4.PNG": { - "image/png": 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" - } - }, "cell_type": "markdown", "metadata": {}, "source": [ - "<img src=\"attachment:Slide4.PNG\" width=\"700\"/>" + "<img src=\"bilder/v08_A.png\" width=\"700\"/>" ] }, { "cell_type": "code", - "execution_count": 34, + "execution_count": 32, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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HiImJITU1lcWLFwPe8NVX+DezXH311UU3dX3xxRcMHTqUnj17MmfOHDIzMwH4+OOPmTJlCuANKNeyZUsWL17MmjVr6N+/P3369GHx4sV8++23J/zzGjZsGJs2bWLXrl288cYbjB8/nkaNdGuMSAnr13vznj3DvquG+9/3zDMVLjocxuGvY2NjSUlJISUlhZ49ezJ79myuu+66EnU2b97Mk08+WWL46yNHjpTZlnOOkSNHVmv466ZNmzJmzBjGjBlDQkIC77zzDqmpZUcWKXzu0HXXXVdm+OuKOOeYNGlStYe/Ph7XXHMNc+bMYe7cubz00ku1vn2Rei8jAxISoNSTAsNBRwi1SMNfl6+i4a/BS0zP+Mm7R48e1d6mSNRYv75Ojg5ACaFWafjr4xv+Grwn33Xr1o3rr7++Zj90kYYsP9+7wqiOEkLgJ4drOmn46+qJ9OGvDx486Lp06eL2799f6/vVSeXo0KDb/OWX3gnll18uUayTylJvTZ8+nV7lXDK3aNEizj77bH73u9/RsmXLACITiXB1eEIZGvJJZQEie/jrESNGsHXr1qDDEIlcGRkQE1MnN6VBAzyH4B0RidQu/V1JINavh65doYJzcLWtQSWEuLg49u7dq39eqVXOOfbu3UtcXFzQoUi0qcMrjKCBdRkVXuFSODxDRY4cORJ1/9xq84mJi4sjMTGxVrYlUi05OfDNNzBpUp3tskElhMaNG9O5c+cq64VCIZKSkuogosihNovUM/7oAXV5hNCguoxERBqMOr7CCJQQREQiU0YGNG8O1ej1qC1KCCIikWjtWujd27vstI4oIYiIRJqCAli3Dvr2rdPdKiGIiESaTZu8q4yUEEREolx6ujev46vklBBERCJNejo0aVJnQ1YUUkIQEYk0a9d6l5s2aVKnu1VCEBGJJM55RwgB3FSphCAiEkm2boV9++r8hDIoIYiIRJa1a725EoKISJRLT/duRqvDISsKKSGIiESS9HTo1g1OOqnOd62EICISSdauDaS7CJQQREQix/ffw/btSggiIlGv8IRyQM/xUEIQEYkUn30GZkoIIiJRLy3NG67i5JMD2b0SgohIJHAOVq2CAQMCC6HKhGBmcWaWZmafm1mmmU3zy08xs4/M7Gt/3rrYOveb2SYz+8rMRhUr72dm6/1lz5qZ+eVNzWyeX77KzDqFoa0iIpHru+9gz57ITgjAUeB851xvoA8w2swGAfcBi51zXYHF/nvMrDswEegBjAb+ZGax/rZeACYDXf1ptF9+I/CDc+5M4GngiRNvmohIPZKW5s0jOSE4T47/trE/OWAsMNsvnw2M81+PBeY654465zYDm4ABZtYeONk5t9I554BXSq1TuK35QGrh0YOISFRYtQri4gK5Q7lQtc4hmFmsma0DdgEfOedWAQnOuR0A/vw0v/rpwLZiq2f5Zaf7r0uXl1jHOZcH/Ai0qUF7RETqp7Q07/6Dxo0DC6FRdSo55/KBPmbWCnjbzM6ppHp53+xdJeWVrVNyw2aT8bqcSEhIIBQKVRJGxXJycmq8bn2lNkcHtbl+srw8zl29mu0XX8w31WhLuNpcrYRQyDm338xCeH3/O82svXNuh98dtMuvlgV0LLZaIrDdL08sp7z4Ollm1ghoCewrZ/8zgZkAycnJLiUl5XjCLxIKhajpuvWV2hwd1OZ6at06OHqUjpdeSsdqtCVcba7OVUan+kcGmFkzYATwJbAAmORXmwS8679eAEz0rxzqjHfyOM3vVso2s0H++YFrS61TuK3LgI/98wwiIg3fqlXefODAQMOozhFCe2C2f6VQDPCmc+49M1sJvGlmNwJbgcsBnHOZZvYmsAHIA271u5wApgCzgGbAB/4E8CLwqpltwjsymFgbjRMRqRfS0qBNG+jcOdAwqkwIzrkMoMx91M65vUBqBes8AjxSTvlqoMz5B+fcEfyEIiISddLSvMtNA764Uncqi4gEKTsbMjMDvf+gkBKCiEiQPv3UG7bil78MOhIlBBGRQC1f7j0yc9CgoCNRQhARCdTy5d7dyQGNcFqcEoKISFDy8mDlSjj33KAjAZQQRESCk5EBBw/CkCFBRwIoIYiIBOeTT7y5jhBERKLc8uXQsaM3RQAlBBGRIDjnHSFEyNEBKCGIiARjyxbYvj1izh+AEoKISDCWL/fmSggiIlHuk08gPj7QJ6SVpoQgIhKETz6BwYMhNrbqunVECUFEpK7t3g1ffAHDhgUdSQlKCCIidW3pUm8+fHiwcZSihCAiUteWLIHmzSE5OehISlBCEBGpa0uWwNCh0Lhx0JGUoIQgIlKXvv8eNm6MuO4iUEIQEalboZA3V0IQEYlyoZD37IOkMo+qD5wSgohIXVqyBM47Dxo1CjqSMpQQRETqyvbt8M9/QkpK0JGUSwlBRKSuLFnizSPw/AEoIYiI1J3Fi6F1a+jdO+hIyqWEICJSF5yDhQthxIiIGr+oOCUEEZG6kJnpnUMYNSroSCqkhCAiUhcWLvTmSggiIlFu4ULo3h0SE4OOpEJKCCIi4XboECxbFtFHB6CEICISfsuWwdGjSggiIlFv4UKIi/PuUI5gSggiIuG2cKGXDJo1CzqSSikhiIiE09at3nDXEd5dBEoIIiLh9cEH3lwJQUQkyi1YAF26eJecRjglBBGRcDl40Bu/6OKLwSzoaKqkhCAiEi4ffeRdbnrJJUFHUi1KCCIi4fK3v0HLljB0aNCRVIsSgohIOOTnewlhzBho3DjoaKpFCUFEJBzS0mD37nrTXQTVSAhm1tHMlpjZRjPLNLOpfvkpZvaRmX3tz1sXW+d+M9tkZl+Z2ahi5f3MbL2/7Fkz7yyLmTU1s3l++Soz6xSGtoqI1J2//c17bvLo0UFHUm3VOULIA+5yznUDBgG3mll34D5gsXOuK7DYf4+/bCLQAxgN/MnMCp8G8QIwGejqT4U/qRuBH5xzZwJPA0/UQttERIKzYIF37qB166rrRogqE4JzbodzLt1/nQ1sBE4HxgKz/WqzgXH+67HAXOfcUefcZmATMMDM2gMnO+dWOucc8EqpdQq3NR9ILTx6EBGpd77+2nsgTj3qLgJodDyV/a6cJGAVkOCc2wFe0jCz0/xqpwOfFlstyy/L9V+XLi9cZ5u/rTwz+xFoA+wptf/JeEcYJCQkEAqFjif8Ijk5OTVet75Sm6OD2hwZfjZnDl2AlR06cDQMsYWrzdVOCGbWAvgf4A7n3IFKvsCXt8BVUl7ZOiULnJsJzARITk52KSkpVURdvlAoRE3Xra/U5uigNkeIO++EQYMYPGFCWDYfrjZX6yojM2uMlwzmOOf+1y/e6XcD4c93+eVZQMdiqycC2/3yxHLKS6xjZo2AlsC+422MiEjgvvkG1q6Fyy8POpLjVp2rjAx4EdjonHuq2KIFwCT/9STg3WLlE/0rhzrjnTxO87uXss1skL/Na0utU7ity4CP/fMMIiL1y1tvefPLLgs2jhqoTpfREOAaYL2ZrfPL/hV4HHjTzG4EtgKXAzjnMs3sTWAD3hVKtzrn8v31pgCzgGbAB/4EXsJ51cw24R0ZTDyxZomIBOStt2DgQPjZz4KO5LhVmRCcc59Qfh8/QGoF6zwCPFJO+WrgnHLKj+AnFBGReuvbbyE9HZ58MuhIakR3KouI1JZ63F0ESggiIrXnzTehf38444ygI6kRJQQRkdqwYYPXXfQv/xJ0JDWmhCAiUhtefRViY+HKK4OOpMaUEERETlRBAcyZAxdcAAkJQUdTY0oIIiInaulS2LYNrrkm6EhOiBKCiMiJevVViI+HsWODjuSEKCGIiJyIQ4dg/nwYPx5OOinoaE6IEoKIyIlYsACys+t9dxEoIYiInJiXX4aOHSHSRlytASUEEZGa2rwZPvwQfvMbiKn/H6f1vwUiIkF58UUvEdxwQ9CR1AolBBGRmsjNhZdeggsvhMTEquvXA0oIIiI18f77sGMHTJ4cdCS1RglBRKQm/vIX6NABxowJOpJao4QgInK8tm6FDz6AG2+ERtV+NH3EU0IQETleL7wAZl5CaECUEEREjsehQzBzJowbV2+fe1ARJQQRkeMxZw7s2wdTpwYdSa1TQhARqS7nYMYM6NMHhg4NOppa13DOhoiIhNvixZCZ6Q1XYRZ0NLVORwgiItU1YwacdhpMnBh0JGGhhCAiUh0bN3o3o/32txAXF3Q0YaGEICJSHU884SWC224LOpKwUUIQEanK1q3e1UU33QSnnhp0NGGjhCAiUpUnn/Tmd98dbBxhpoQgIlKZXbu8cYuuucZ7EE4DpoQgIlKZGTPg6FG4996gIwk7JQQRkYrs2QPPPguXXQa/+EXQ0YSdEoKISEWeeAIOHoQHHww6kjqhhCAiUp7t2+G55+Dqq6F796CjqRNKCCIi5XnkEcjLi5qjA1BCEBEp67vvvCuLbrwRunQJOpo6o4QgIlLav/0bxMR48yiihCAiUlxamndX8l13QWJi0NHUKSUEEZFCzsEdd0C7dnDffUFHU+f0PAQRkULz5sHKlfDiixAfH3Q0dU5HCCIiAIcPe3cj9+kDkyYFHU0gdIQgIgLw2GPeqKazZ0NsbNDRBKLKIwQze8nMdpnZF8XKTjGzj8zsa3/eutiy+81sk5l9ZWajipX3M7P1/rJnzbznz5lZUzOb55evMrNOtdxGEZHKffklPP44XHUVpKQEHU1gqtNlNAsYXarsPmCxc64rsNh/j5l1ByYCPfx1/mRmhan2BWAy0NWfCrd5I/CDc+5M4GngiZo2RkTkuDnnPQWteXP4r/8KOppAVZkQnHPLgH2liscCs/3Xs4FxxcrnOueOOuc2A5uAAWbWHjjZObfSOeeAV0qtU7it+UBq4dGDiEjYvfIKLF3qjVuUkBB0NIGq6TmEBOfcDgDn3A4zO80vPx34tFi9LL8s139durxwnW3+tvLM7EegDbCn9E7NbDLeUQYJCQmEQqEaBZ+Tk1PjdesrtTk6qM3Hp/EPP9B/6lQO9+jB2jPPhHryswvX77m2TyqX983eVVJe2TplC52bCcwESE5Odik17OsLhULUdN36Sm2ODmrzcXAOLr0UDh+mybx5pPToUeuxhUu4fs81vex0p98NhD/f5ZdnAcUfKZQIbPfLE8spL7GOmTUCWlK2i0pEpHbNmQPvvAMPPwz1KBmEU00TwgKg8ELdScC7xcon+lcOdcY7eZzmdy9lm9kg//zAtaXWKdzWZcDH/nkGEZHw+L//g9tugyFD4M47g44mYlTZZWRmbwApQFszywIeAB4H3jSzG4GtwOUAzrlMM3sT2ADkAbc65/L9TU3Bu2KpGfCBPwG8CLxqZpvwjgwm1krLRETKU1AAN9wAubkwa1bU3nNQnioTgnPuygoWpVZQ/xHgkXLKVwPnlFN+BD+hiIiE3RNPwIcfwp//DGeeGXQ0EUVDV4hI9PjHP7whrSdOhJtuCjqaiKOEICLRYc8euPJK74E3f/4z6HanMjSWkYg0fPn53rORd++GTz+Fk08OOqKIpIQgIg3fvffCwoUwcyYkJQUdTcRSl5GINGyzZnljFN12m84bVEEJQUQarhUr4Oab4fzz4amngo4m4ikhiEjD9PXXMG4cdOwIb70FjRsHHVHEU0IQkYZn+3a44AJvvKL334dTTgk6onpBJ5VFpGHZvx9Gj/YuM12yBH7xi6AjqjeUEESk4cjJgYsv9p6A9ve/Q3Jy0BHVK0oIItIwZGfDhRfCypXwxhswYkTQEdU7SggiUv9lZ8OYMd5NZ6+/DpdreLSaUEIQkXqt0YEDMGoUpKXB3Llw2WVBh1RvKSGISP21bRtJt98OO3bAm296T0CTGlNCEJH6KTMTRo+m6Q8/eMNSRNmjQ8NB9yGISP2zcCGcey7k57P2mWeUDGqJEoKI1B/OwfTp3tVEP/sZrFjBQT3kptYoIYhI/XDokDeE9R/+AOPHe+MUdeoUdFQNihKCiES+jAzo39+7v+DRR2HePGjePOioGhwlBBGJXM7B88/DgAGwb5/3LOT779fTzsJECUFEIlNWljcMxW23QWqqd5Sgu4/DSglBRCJLQQH8939D9+7e4HQzZsB778GppwYdWYOn+xBEJHJs3AhTpsDSpd5RwcyZ0KVL0FFFDR0hiEjw9u2D22+Hnj3h88/hxRfho4+UDOqYEoKIBOfYMXjuOeja1Tt5fNNN8M9/wg036MRxAJQQRKTu5ebCX/7iJYLf/Q769IG1a+GFF3SuIEBKCCJSd44e9bqDfvELmDwZ2rf3hqFYtAh69Qo6uqink8oiEn67d3tXDj3/POzcCf36eV1FY8aoayiCKCGISPikp3uJ4NVX4cgR71nHd97p3U+gRBBxlBBEpHbt2wdz5sBLL8G6dRAXB9dcA3fc4d1bIBFLCUFETlxODrz/Prz1lncT2dGj0Lev10V05ZXQunXQEUo1KCGISM3s3++dEJ4/30sGhw9Du3beyeIbbvCuHJJ6RQlBRKrHOa8L6IMPvGnlSsjPh4QELwFMmABDhkBsbNCRSg0pIYhI+QoKvMdULlsG//iHN5zE9997y5KS4N57vauEBg9WEmgglBBExLN3L6xZ400rVsDy5fDDD96y00+H4cPhggu8K4XatQs2VgkLJQSRaFNQAFu3egPJrV37UxLYsuWnOl27wqWXwtChcN553pPJdJlog6eEINJQ5eTA5s2waRNs2OAlgI0b4csvvcdRFvr5z2HgQLjlFu+GsaQkOOWU4OKWwCghiNRHBQWwZw/s2AHbt8N338HmzXRPS4ODB71EsHdvyXU6dvTuAzjvPOjWzZt69oRWrYJogUQgJQSRSOCc90G+d693Y1fx+a5dP33w79jhTTt3Ql5eyW00aUKL007zPvT79fO6eTp39o4Azj4bWrQIpGlSf0RMQjCz0cAMIBb4q3Pu8YBDEqmcc97wzUeOeNPBg5CdDQcOePOqpv37f/rg37fP21ZF2rb1BoLr0AHOOcd7XXzq1Anatydt2TJSUlLq6AcgDU1EJAQziwWeB0YCWcBnZrbAObch2MjkuDjndWUUFHjXpxe+Lm860eWFdfLyvCk3t+SUl0e79evhq6/KlJepW7z82DHvBqvCD/nC1+WVHTnitbm64uIgPv6nqVUrb9TPNm286ZRTyp+3aQNNmoTt1yZSKCISAjAA2OSc+xbAzOYCY4FaTwhvjHiRwZ88zraYn66YMLx/aivxz+1KLuOnZT/VK1ZWjXpWXv1a3Gdl20p2cMhK1zu++CvepyOWAiLN2ZUsyyeGfGtMXkxj8qwx+daIPGtMXkwTjsY041hMXNH8WEyrku+bxXG0uV8ntrBOM47EnMShRvEcjo3ncGwLDsXGF02HG8WTb+X8u+3zp69rp8379/eJulMC0djmtm3PJBwHgpGSEE4HthV7nwUMLF3JzCYDkwESEhIIhULHvaPvDsXQMq4nZgb8lBSc/9oVL7PSZVXULyyzsmWUW5/jrF9xjFXVd64As5hy2kS59StrU+l9FRCDsxgKiKHAYnCY/zq2WFnhcit67SyGfGJ/Whcr9rr0ciuxncJ6+daIPGK9D3NrTF7hB7s15liB4Ro1LXqfS6OiD35nYX4USIE/5RYW5IR3f778/Hz2799fJ/uKFNHY5pYtj9Xo868qkZIQyrvAucyxuHNuJjATIDk52dWkrzRlRQqhUOeo62cNhUJqcxRQm6NDKLQuLG2OlCemZQEdi71PBLYHFIuISFSKlITwGdDVzDqbWRNgIrAg4JhERKJKRHQZOefyzOw2YCHeZacvOecyAw5LRCSqRERCAHDO/R34e9BxiIhEq0jpMhIRkYApIYiICKCEICIiPiUEEREBwNzxjMUSQcxsN7ClyorlawvsqcVw6gO1OTqozdHhRNp8hnPu1PIW1NuEcCLMbLVzLjnoOOqS2hwd1OboEK42q8tIREQAJQQREfFFa0KYGXQAAVCbo4PaHB3C0uaoPIcgIiJlResRgoiIlKKEICIiQJQlBDMbbWZfmdkmM7sv6Hjqgpl1NLMlZrbRzDLNbGrQMdUFM4s1s7Vm9l7QsdQVM2tlZvPN7Ev/9z046JjCycx+7/9Nf2Fmb5hZXNAxhYOZvWRmu8zsi2Jlp5jZR2b2tT9vXRv7ipqEYGaxwPPAGKA7cKWZdQ82qjqRB9zlnOsGDAJujZJ2TwU2Bh1EHZsB/D/n3NlAbxpw+83sdOB2INk5dw7esPkTg40qbGYBo0uV3Qcsds51BRb7709Y1CQEYACwyTn3rXPuGDAXGBtwTGHnnNvhnEv3X2fjfUicHmxU4WVmicCvgL8GHUtdMbOTgfOAFwGcc8ecc/sDDSr8GgHNzKwRcBIN9CmLzrllwL5SxWOB2f7r2cC42thXNCWE04Ftxd5n0cA/GEszs05AErAq4FDC7RngD3iPuY8WXYDdwMt+V9lfzax50EGFi3Pu/4Anga3ADuBH59yHwUZVpxKcczvA+9IHnFYbG42mhGDllEXNNbdm1gL4H+AO59yBoOMJFzO7CNjlnFsTdCx1rBHQF3jBOZcEHKSWuhEikd9nPhboDHQAmpvZ1cFGVf9FU0LIAjoWe59IAz3ELM3MGuMlgznOuf8NOp4wGwJcYmbf4XULnm9mrwUbUp3IArKcc4VHf/PxEkRDNQLY7Jzb7ZzLBf4X+GXAMdWlnWbWHsCf76qNjUZTQvgM6Gpmnc2sCd4JqAUBxxR2ZmZ4/cobnXNPBR1PuDnn7nfOJTrnOuH9jj92zjX4b47Oue+BbWb2C78oFdgQYEjhthUYZGYn+X/jqTTgk+jlWABM8l9PAt6tjY1GzDOVw805l2dmtwEL8a5IeMk5lxlwWHVhCHANsN7M1vll/+o/w1oalt8Bc/wvPN8C1wccT9g451aZ2XwgHe9KurU00CEszOwNIAVoa2ZZwAPA48CbZnYjXnK8vFb2paErREQEoqvLSEREKqGEICIigBKCiIj4lBBERARQQhAREZ8SgoiIAEoIIiLi+/8WpUT/cajzogAAAABJRU5ErkJggg==\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "% Simulink model A\n", - "% Set the Octave Engine to run the simulation\n", - "% Simulation Parameters\n", - "% Start time\n", - "tini = 0;\n", - "% End time\n", - "tfinal = 10;\n", - "% Time Step\n", - "dt = 0.01;\n", - "% Number of data flows in the schematic\n", - "nflows = 4;\n", - "\n", - "% Initial conditions\n", - "xo = [2; 2];\n", + "tini = 0 # Start time\n", + "tfinal = 10 # End time\n", + "dt = 0.01 # Time Step\n", + "nflows = 5\n", "\n", + "xo = np.array([[2],[2]])\n", "\n", + "sc4 = Schema(tini,tfinal,dt,nflows) # Instance of the simulation schematic\n", "\n", - "% Instance of the simulation schematic\n", - "sc4 = Schema(tini,tfinal,dt,nflows);\n", + "c4_1 = Constant(1,0);\n", + "c4_2 = StateSpace([1],[2,3],A1,B1,C2,D1,xo);\n", + "c4_3 = Gain([2,3],[4],-1*F);\n", "\n", - "% List of components\n", - "c4{1} = Constant(1,0);\n", - "c4{2} = StateSpace(1,[2 3],A1,B1,C1,D1,xo);\n", - "c4{3} = Gain([2 3],4,-[4 0]); \n", + "sc4.AddListComponents(np.array([c4_1,c4_2,c4_3]));\n", "\n", - "sc4.AddListComponents(c4);\n", + "#Run the schematic and plot:\n", + "out4 = sc4.Run(np.array([1, 2, 4]));\n", "\n", - "% Run the schematic and plot\n", - "out4 = sc4.Run([2 3 4]);\n", - "plot(out4(1,:),out4(2,:),'b','LineWidth',4, out4(1,:),out2(3,:),'r','LineWidth',4);\n", - "legend('State-Space 1, x_{dot}','State-Space 1, y')\n", - "grid on" + "plt.plot(out4[0,:],out4[1,:],'blue',out4[0,:],out4[2,:],'red')\n", + "plt.grid()\n", + "plt.legend(['State-Space 1, x_{dot}','State-Space 1, y'])\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 35, + "execution_count": 33, "metadata": {}, "outputs": [ { "data": { - "image/png": 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JErD4MmTpssc0RP4wi0KzZAcsi+EbSzleDMMECVguNjtES5CApWOqFCdBApaUqVJsBAlYXqZKUREkYNlpUiQECeB3UyXLd3kRJIBfmCrlS5AAfqNJORIkgN8ZWL7L92KWiiABXMAtpfkTJICLWb6bM0ECuJQmzZMgAYyiSXMjSABj9Dfp5PgkxytZbIIEMJ6td3MgSACT0qSZEiSAK9gobaQfaNLUCRLA1ZgnzYggAVyZJs2CIAFkoUlTJ0gAGWnSdAkSQHaaNEWCBHAtmjQtggQwNZp0HYIEcF2edzcVggQwBf1NIhtBApgON5OuSZAApkaTrkOQAKZJkzITJIAp06RsBAmAKAgSwPSZJGUgSAAzoUlXJUgAs6JJVyJIADOkSZMTJACiIEgAs2WSNCFBApg5TZqEIAEQBUECmAeTpLEECWBONGk0QQKYH39t0giCBJADk6RhggQwVxbuLiNIAPNm4e5CggSQG5OkfoIEkAMLd8MECYAoCBJAPkySBggSQG7sbugnSAD5M0kKggSQLwt3PYIEQBQECSBnJkkpQQLIn90NQZAAorLMkyRBAoiCSZIgAcRlaSdJggQQiyXf3SBIAERBkAAissyTJEECIAqzDVKr1ep2u5e9nOQEgGWztJOkz6b1C33++eflcjmEUC6Xnzx5EkLY2dlJkqTdbj9+/LharQ68nOQEgOV0Hs6XrUZhWkHqdDrlcvn169e9I0dHR0mS7O/vdzqdvb29brfb/7JarY49YSoXBlBoK2FleX4+aWpBunnz5t7e3o0bNx4+fHjz5s1Wq1WpVEIISZI0Go1yudz/MoQw9gSAZbaEk6TpBKnb7d66devOnTvtdvvRo0fpVClJkvSzm5ubwy8nOWHYyspv/3o2NjamcvELplQq5X0JsTNEoxmfseY3RMchhLASVjZKsb/dnZyc9D7O/OZ8rSDV6/WPHz+ura1tb2/XarUQQroWl3620+mkH6QToP6XE54w7Px8Waau2ZRKpePj47yvImqGaDTjM9achyidJBXrX0rmYF8rSNVqNb3Zc3h4WC6X+2/8VCqVVqsVfr29NPBykhMASC3JnaTpLNltbm4+evTo3r177XZ7e3s7hFCr1Q4PDw8ODhqNxu7u7sDLSU4AYKnuJK1McRGsXq8nSdK7FTR8JMMJ/SwmjGWIxjJEoxmfseY/RL0gFWWSlHmIpvZzSCGE4b3aA0cynADAkvDoIICoLc+DGwQJgCgIEkDsinL36JoECaAwFnvVTpAACmAZJkmCBFAkCzxJEiSAYlj4SZIgARTMok6SBAmgMBZ7kiRIAMWzkJMkQQIgCoIEUCQLvGonSACFtHirdoIEUDCLOkkSJICiWrBJkiABFM9CTpIECYAoCBJAgS3Sqp0gARTS4q3aCRJAsS3MJEmQAIpqwSZJggRAFAQJoPAWY9VOkAAKbJFW7QQJYBEswCRJkACIgiABFNvCrNoJEsCCKPqqnSABFN5iTJIECYAoCBLA4ij0qp0gASyCBVi1EySAhVLcSZIgARAFQQJYEEVftRMkgEVT0FU7QQJYHIWeJAkSAFEQJIAFVMRVO0ECWCjFXbUTJACiIEgAi6lwq3aCBLBoCrpqJ0gAREGQABZWsVbtBAlgARVx1U6QAIiCIAEssgKt2gkSwGIq3KqdIAEQBUECWHBFWbUTJACiIEgAC6tYt5EECYAoCBLA4ivEbSRBAlhkBVq1EyQAoiBIAEsh/lU7QQJYcEVZtRMkAKIgSADLIvJVO0ECWHyFWLUTJACiIEgAREGQAJZIzLeRBAlgKcR/G0mQAIiCIAEsl2hX7QQJYFlEvmonSABEQZAAiIIgASydOG8jCRLAEon5NpIgARAFQQJYRhGu2gkSwHKJdtVOkACIgiABEAVBAlhSsd1GEiSApRPnbSRBAiAKggRAFAQJYHlFdRtJkACWUYS3kQQJgCgIEgBRECSApRbPbaRrBanb7XY6nd7LVqvV7Xb7Txg4kuEEAGYktttI1wrS27dvv/vuu/TjnZ2dN2/ePHjwoF6vX3gkwwkALI/PMn/l1tZWu93++uuvQwhHR0dJkuzv73c6nb29vWq1OnCk2+1e9YTpfY8AFED2GdK7d+/SGoUQWq1WpVIJISRJ0mg0ho9kOAGA+YjkNtLUNjUkSZJ+sLm5eeGRDCcAMFNR3Ua6wpJdvV7/+PHj2tra9vb28Gd7uxt685v+I+VyOcMJw1ZWfsv4xsbG5Be/PEqlUt6XEDtDNJrxGWvRhug4hGt/UycnJ72PM785XyFI1Wr1sls7lUql1WqFEDqdTrlcHj6S4YQLnZ9HFPMIlUql4+PjvK8iaoZoNOMz1uINUbpeN8VvKnPbsm9q6Fer1Q4PDw8ODhqNxu7u7vCRDCcAMDcrYSX35buVKc456vV6kiS9W0HDRzKc0G/x/sNk6gzRWIZoNOMz1kIOUTpJmlaQMg/RdGZIqeEFvYEjGU4AYEl4dBAAURAkAEKI4KeRBAlg2eW+nSElSABEQZAAiIIgAfCLfG8jCRIAUdxGEiQAoiBIAERBkAD4TY63kQQJgBAiuI0kSABEQZAAiIIgARAFQQLgd/La1yBIAPwi330NggRAFAQJgCgIEgCDcrmNJEgA/CbH20iCBEAUBAmAKAgSAFEQJAAuMP99DYIEwO/kta9BkACIgiABEAVBAuBic76NJEgADMrlNpIgARAFQQIgCoIEQBQECYBLzXNfgyABcIH572sQJACiIEgAREGQAIiCIAEwytz2NQgSABeb874GQQIgCoIEQBQECYAoCBIAY8xnX4MgAXCpee5rECQAoiBIAERBkACIgiABMN4c9jUIEgCjzG1fgyABEAVBAiAKggRAFAQJgInMel+DIAEwxnz2NQgSAFEQJACiIEgAREGQAJjUTPc1CBIA481hX4MgARAFQQIgCoIEQBQECYAoCBIAVzC7jXaCBMBEZr3RTpAAiIIgARAFQQIgCoIEwNXMaF+DIAEwqZnuaxAkAKIgSABEQZAAiIIgARAFQQLgymax0U6QALiC2W20EyQAoiBIAERBkACIgiABkMXU9zUIEgBXM6N9DYIEQBQECYAoCBIAURAkAKIgSABkNN2NdoIEwJXNYqOdIAEQhWsFqdvtdjqdESe0Wq1ut3vZy0lOAGBJfHadL3779u1//vOfJ0+ehBA+//zzcrkcQiiXy+mRnZ2dJEna7fbjx4+r1erAy0lOAGB5ZA/S1tZWu93++uuvQwidTqdcLr9+/br32aOjoyRJ9vf3O53O3t5et9vtf1mtVseecP3vDYACyb5k9+7du7RGIYROp3Pz5s29vb2Dg4N0za3ValUqlRBCkiSNRmPg5SQnABC/KW60u9aSXU+3271169adO3fa7fajR4/SqVKSJOlnNzc3h19OcsKwlZXfvvONjY2pXPyCKZVKeV9C7AzRaMZnLEOU2ggbJ8cnIYRSqXRycvLb8axvzlcIUr1e//jx49ra2vb29sCnarVarVYLIaRrcenB3n6HRqNRLpf7X054wrDz81n9TYWLoVQqHR8f530VUTNEoxmfsQxRv3R6NDAgmYN9hSBVq9XLbu0cHh6Wy+X+z1YqlVarFX69vTTwcpITAFgq01my29zcfPTo0b1799rtdjp/qtVqh4eHBwcHjUZjd3d34OUkJwCwVFamuAhWr9eTJOndCho+kuGEfmbKYxmisQzRaMZnLEPUL12yG3hqQ+Yhms4MKTW8oDdwJMMJAERuJaxM5UlCHh0EQEbTfaKdIAEQBUECIAqCBEAUBAmAKAgSAFEQJACuayqPWBUkALKb4s5vQQIgCoIEQBQECYAoCBIAURAkAKbg+hvtBAmAa5nWRjtBAiAKggRAFAQJgCgIEgBRECQApuOaG+0ECYDrmspGO0ECIAqCBEAUBAmAKAgSAFEQJACiIEgATM11dn4LEgBTcP2d34IEQBQECYAoCBIAURAkAKIgSABEQZAAiIIgATAd19z5LUgAREGQAIiCIAEQBUECIAqCBEAUBAmAKcv2zG9BAmBqrrPzW5AAiIIgARAFQQJgyrIt3AkSAFEQJACiIEgAREGQAIiCIAEQBUECIAqCBEAUBAmAKAgSAFEQJACiIEgAREGQAIiCIAEQBUECIAqCBEAUBAmAKAgSAFEQJACiIEgAREGQAIiCIAEQBUECIAqCBEAUBAmAKAgSAFEQJACiIEgAREGQAIiCIAEQBUECIAqCBEAUBAmAKAgSAFEQJACiIEgAREGQAIiCIAEQBUECIAqCBEAUBAmAKAgSAFEQJACiIEgAROFaQWq1Wp1Op/9lt9sdOKH/SIYTuJKTk5O8LyF2hmg04zOWIZqdz7J9WbfbffDgQblc7nQ65XL5yZMnOzs7SZK02+3Hjx9Xq9UQwsCRDCcAsDwyBunt27ebm5tPnjwJIXzxxReVSiVJkv39/U6ns7e3V61Wj46O+o90u92rnjDVbxOA2GUM0r1799IP0hW2VqtVqVRCCEmSNBqN4SPlcvmqJwCwVDLeQ0qSJEmSer3+4MGDhw8fpkfST21ubvbO6T+S4QQAlscVZkj1ev3jx49ra2vb29shhIODg3/961/ffvttkiQHBwe93Q29+U3/kfRu01VPGFYqlSa/4CW0sbFhiEYzRKMZn7EM0excIUjVarV3a+fNmzdpjdKXlUql1WqFENI9DsNHMpww7Pj4OOu3CUDsVs7PzzN82d7eXrvdvnHjRvry9evXW1tbm5ubjUZjd3e3VquFEAaOZDgBgOWRMUgXqtfr6b2ly45kOAGAJTHNIAFAZoV5dJCHOIw18OAMLtTpdPxGGqHT6fhdNJr3ost0u92B3zxXHav/+/vf/z7li5qBnZ2dTqdzeHhoQe9C3W73L3/5y7///e8ffvjhn//85507d/K+okh1u90//elPf/vb3/K+kEjt7e01m80ffvjhf//7X/pzgfTr/UF78eLFH/7wB0M04B//+MdPP/3Ue//J8L5dgBlS75kO33777atXr/K+nBilD87Y399//fr1jz/+mPflxOvFixc3btzwn7cXqtfrIYT0D1r6MQN+/PHH9A/au3fvjo6O8r6cuGxtbb148aL3Mtv7dsYnNczT8GMgGDDw4AwudHh4uLa21ul0bt68mfe1xCj9KcM3b96EEHo/0UG/crn85s2ber3ebrcv++mUpfXu3buDg4Pey2zv2wWYIQUPcRhn+MEZDGi1Wq1Wa3d3N+8Lidp3330XQvj06dPOzk7e1xKjJElu3LhxdHR0dHS0traW9+XELsP7dgFmSOH3z3TI90qi1f/gjLyvJUaHh4e3bt1KHymyt7f38OFDAzXs3r176XNYtra28r6WGL169apWq6VD9MUXX6QfcJkM79sFCNIkD3FYcgMPzmDY7u7uf//73xBCo9Go1Wq9n+mmZ21t7dOnT+nH1n65pmzv2wUIUq1WOzw8PDg4SB/ikPflxCjd8N1bZnn9+nWeVxOl3oaoGzdu+MtNLrS9vb21tXVwcNButy38Xuirr77a2dn59OlTu93u3bjlQtnetwvzg7Ee4gBz4A/aWIZoclcdq8IECYDFVoxddgAsPEECIAqCBEAUBAmAKAgSAFH4/5gOcOiMKTmwAAAAAElFTkSuQmCC\n", + "image/png": 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q3s3M0oPnvYksqn/g7hXADjM7OVj/uBp4Pmg2A9h3R9bFwJygML0EnGlm2cEi+5lBTETksJQUlDD9m9N5Z8M7XPjEheyu3h12SkkjkXdt3QNkAbMPus13FLDEzN4hsnB+rbtvCfZdB9wPrCIyU5kVxB8AcsxsFXATcDNA0O6XwJvB9ouovkREDsvZfc/mwfMfZM6Hc7jq2auoqa0JO6WkkLDF9uBW3Vjxp4Gn69i3EBgYI14FXFJHm6nA1MZnKiLyhXEnjmPjzo38ePaP+emRP+U/x/xn2Cm1eM1115aISNL40YgfsWbbGia9Pomi3CImDJoQdkotmj4iRUQkhsljJ3N64el874Xv8c91/ww7nRZNhUREJIaMtAyevORJju50NBc+cSFrt68NO6UWS4VERKQOXdp34a+X/5Wq6iounX4pe2v0IY+xqJCIiBxCv679uP/c+3m9/HVuffnWsNNpkVRIRETqccnxl3Bd8XXcPf9uXnz/xbDTaXFUSEREGmDSmEkMOmoQVz93Neu2r6u/QSuiQiIi0gCZGZk8efGT7KnZw4TnJ+gbFqOokIiINFDfnL5MHjOZOR/O4b437ws7nRZDhURE5DBcM/gazupzFj+d/VNWbl4ZdjotggqJiMhhMDPuP+9+MjMyGf/ceH0eFyokIiKHrWdWT/7rrP9ifvl87nnjnrDTCZ0KiYhII1xRdAVj+4zl9rm3U/5Zef0NUpgKiYhII5gZ9559L9W11dzwtxvCTidUKiQiIo3UO7s3/z7q33mm7BleeP+FsNMJjQqJiEgcfjzixwzoNoDrZ17Prr27wk4nFCokIiJxaJvelnvPvpePtn/EpPmTwk4nFCokIiJxKiko4cJ+F/LbV39LxY6KsNNpdiokIiJN4K5/uYs9NXu4bc5tYafS7FRIRESaQJ8ufbhh2A08tPgh3q54O+x0mpUKiYhIE7l91O3kdMjhx3//cdipNKuEFRIz+z9m9rGZLQ62s6P23WJmq8xshZmNiYqfZGZLg31/NDML4u3M7IkgvsDMCqLajDezlcE2PlHjERGpT6fMTtw+8nbmrpnLyx+8HHY6zSbRM5LJ7j4o2GYCmNkA4DLgeGAscJ+ZpQfH/wmYCPQNtrFB/Bpgq7v3ASYDdwZ9dQHuAIYBQ4E7zCw7wWMSEanT94q/R96Redw25zbcPex0mkUYl7bOBx53993u/iGwChhqZj2AI919vkd++o8AF0S1eTh4Ph04PZitjAFmu/sWd98KzOaL4iMi0uwyMzL5+aifs+DjBa3mTYoZCe7/ejO7GlgI/Cj4Zd8LeD3qmPIgtjd4fnCc4HEdgLtXm9l2ICc6HqPNAcxsIpHZDrm5uZSWljZqQJWVlY1um6w05tZBY246hbWF9MzsyQ//+kM6ru9ImrWc5ehEjDmuQmJm/wCOirHrNiKXqX4JePD4n8C3AYtxvB8iTiPbHBh0nwJMASguLvaSkpJYh9WrtLSUxrZNVhpz66AxN627ut7FVc9exafdP+Wbx38zIedojESMOa4y6e5nuPvAGNvz7v6Ju9e4ey3wP0TWMCAya8iP6iYPWB/E82LED2hjZhlAJ2DLIfoSEQnVZQMvo3/X/vx63q9Tfq0kkXdt9Yh6eSGwLHg+A7gsuBOrkMii+hvuXgHsMLOTg/WPq4Hno9rsuyPrYmBOsI7yEnCmmWUHi+xnBjERkVClp6Xzs1N+xpJPljBz5cyw00moRF64uyu4lXcJMBq4EcDdlwNPAu8CfwP+zd33fcXYdcD9RBbgVwOzgvgDQI6ZrQJuAm4O+tpC5LLZm8H2iyAmIhK6K4qu4OhOR/ObV3+T0rOShC22u/u4Q+z7NfDrGPGFwMAY8Srgkjr6mgpMbXymIiKJ0Sa9DT8Z8RO+P+v7zFs7j1HHjAo7pYRoObcSiIikoG8P/jbdOnTjt6/+NuxUEkaFREQkgTq06cCNJ9/I31b9jcUbFoedTkKokIiIJNh1X72ODm068IcFfwg7lYRQIRERSbDOmZ2ZcOIE/rL0L2zcuTHsdJqcComISDP4wbAfsKdmD/9v4f8LO5Ump0IiItIMjut6HGP7jOW+hfexp2ZP2Ok0KRUSEZFmcsOwG9hQuYEnlz8ZdipNSoVERKSZnPmVM+nXtV/KLbqrkIiINJM0S+P6r17PwvULeWv9W2Gn02RUSEREmtFVJ1xF+4z2/M/b/xN2Kk1GhUREpBl1yuzEpQMvZdrSaVTuqQw7nSahQiIi0sy+O+S7VO6p5PFlj4edSpNQIRERaWbD84ZzfLfjU+bylgqJiEgzMzMmnjSRNz5+g3c2vBN2OnFTIRERCcFVJ1xFu/R2KTErUSEREQlBl/ZduKj/RTy27LGkf6e7ComISEjGnTCOLbu2JP1X8aqQiIiE5F++8i/kdszl0SWPhp1KXFRIRERCkpGWweUDL+eF919g666tYafTaCokIiIhGnfiOPbU7EnqD3JUIRERCdHgowYzoNuApL68lbBCYmZPmNniYFtjZouDeIGZ7Yra999RbU4ys6VmtsrM/mhmFsTbBf2tMrMFZlYQ1Wa8ma0MtvGJGo+ISCKYGeNOGMdr617jg60fhJ1OoySskLj7pe4+yN0HAU8Dz0TtXr1vn7tfGxX/EzAR6BtsY4P4NcBWd+8DTAbuBDCzLsAdwDBgKHCHmWUnakwiIolwZdGVAExbMi3kTBon4Ze2glnFN4HH6jmuB3Cku893dwceAS4Idp8PPBw8nw6cHvQ7Bpjt7lvcfSswmy+Kj4hIUsjvlM8p+acwvWx62Kk0SkYznGMk8Im7r4yKFZrZIuAz4HZ3nwf0AsqjjikPYgSP6wDcvdrMtgM50fEYbQ5gZhOJzHbIzc2ltLS0UYOprKxsdNtkpTG3DhpzuAa1HcS96+7l0ZmPkt8hP2HnScSY4yokZvYP4KgYu25z9+eD55dz4GykAjja3Teb2UnAc2Z2PGAx+vF9p6pj36HaHBh0nwJMASguLvaSkpJYh9WrtLSUxrZNVhpz66Axh6vPZ324d/K9rD1iLeNGjUvYeRIx5rgubbn7Ge4+MMb2PICZZQAXAU9Etdnt7puD528Bq4Fjicwm8qK6zwPWB8/LgfyoPjsBW6LjMdqIiCSNvCPzGJE/gqfefSrsVA5botdIzgDec/f9l6zMrJuZpQfPexNZVP/A3SuAHWZ2crD+cTWwb1YzA9h3R9bFwJxgHeUl4Ewzyw4W2c8MYiIiSefi/hfzzifvsHLzyvoPbkESXUgu48uL7KOAJWb2DpGF82vdfUuw7zrgfmAVkZnKrCD+AJBjZquAm4CbAYJ2vwTeDLZfRPUlIpJULh5wMUDSzUoSutju7hNixJ4mcjtwrOMXAgNjxKuAS+poMxWYGleiIiItQH6nfE7OO5mn3n2KW0feGnY6DaZ3touItCCXDLiExRsWs2rLqrBTaTAVEhGRFuSi/hcBMGPFjJAzaTgVEhGRFqSgcwFF3Yv46/t/DTuVBlMhERFpYc499lzmfTSPLbuS494hFRIRkRbmvOPOo8ZrmLVyVv0HtwAqJCIiLcxXe32V3I65SXN5S4VERKSFSbM0zjn2HGatmsWemj1hp1MvFRIRkRbovOPO47PdnzHvo3lhp1IvFRIRkRbojN5nkJmRmRS3AauQiIi0QB3adOCM3mcw4/0ZRD5asOVSIRERaaHO7nM2a7at4f3N74edyiGpkIiItFBj+owB4KXVLftDzVVIRERaqN7Zvenbpa8KiYiINN6Yr4yhdE0pu6t3h51KnVRIRERasDF9xvD53s95de2rYadSJxUSEZEWrKSghDZpbVr05S0VEhGRFuyItkdw6tGnqpCIiEjjjfnKGJZ8soSKHRVhpxKTComISAu37zbgv6/+e8iZxKZCIiLSwp2YeyK5HXNb7OUtFRIRkRbOzDi99+nM+XBOi/y4lLgKiZldYmbLzazWzIoP2neLma0ysxVmNiYqfpKZLQ32/dHMLIi3M7MngvgCMyuIajPezFYG2/ioeGFw7Mqgbdt4xiMi0lKNLhjNJzs/YcXmFWGn8iXxzkiWARcBr0QHzWwAcBlwPDAWuM/M0oPdfwImAn2DbWwQvwbY6u59gMnAnUFfXYA7gGHAUOAOM8sO2twJTHb3vsDWoA8RkZQzumA0AHM/nBtyJl8WVyFx9zJ3j1Uezwced/fd7v4hsAoYamY9gCPdfb5H5mePABdEtXk4eD4dOD2YrYwBZrv7FnffCswGxgb7TguOJWi7ry8RkZTSO7s3eUfmMXdNihWSQ+gFrIt6XR7EegXPD44f0Mbdq4HtQM4h+soBtgXHHtyXiEhKMTNGF4ymdE1pi1snyajvADP7B3BUjF23ufvzdTWLEfNDxBvT5lB9fTkhs4lELqmRm5tLaWlpXYceUmVlZaPbJiuNuXXQmFu+Hrt7sOnzTTw08yEKOxY2qo9EjLneQuLuZzSi33IgP+p1HrA+iOfFiEe3KTezDKATsCWIlxzUphT4FOhsZhnBrCS6r1jjmAJMASguLvaSkpK6Dj2k0tJSGts2WWnMrYPG3PIVbCvgrhV3Udm1kpJhJY3qIxFjTtSlrRnAZcGdWIVEFtXfcPcKYIeZnRyscVwNPB/VZt8dWRcDc4J1lJeAM80sO1hkPxN4Kdg3NziWoG1dMyQRkaRX0LmAgs4FLW6dJN7bfy80s3JgOPCimb0E4O7LgSeBd4G/Af/m7jVBs+uA+4kswK8GZgXxB4AcM1sF3ATcHPS1Bfgl8Gaw/SKIAfwMuClokxP0ISKSskYXjOZ/P/pfar027FT2q/fS1qG4+7PAs3Xs+zXw6xjxhcDAGPEq4JI6+poKTI0R/4DILcEiIq3C6ILRPLj4QZZ+spQTjzox7HQAvbNdRCSplBSUALSoy1sqJCIiSSS/Uz7HdDqG19a9FnYq+6mQiIgkmVOPPpXX1r7WYt5PokIiIpJkTsk/hYrKCj7c9mHYqQAqJCIiSeeUo08B4LW1LePylgqJiEiSOb7b8XRq14lX174adiqAComISNJJT0tneP7wFrPgrkIiIpKETs0/leWblrN119awU1EhERFJRvvWSf657p8hZ6JCIiKSlIb2GkpGWkaLuLylQiIikoQ6tOnAkB5DWsSCuwqJiEiSOiX/FN5c/yZ7avaEmocKiYhIkjol/xSqqqtYVLEo1DxUSEREktSwvGEAvPHxG6HmoUIiIpKk8o7Mo2dWT95Yr0IiIiKNNLTXUBaULwg1BxUSEZEkNrTnUFZuWcmWXVvqPzhBVEhERJLY0F6RL4lduH5haDmokIiIJLHinsUYFuqCuwqJiEgS65TZiX5d+7Hg4/DWSVRIRESS3NBeQ3nj4zdC+8bEuAqJmV1iZsvNrNbMiqPi/2Jmb5nZ0uDxtKh9pWa2wswWB1v3IN7OzJ4ws1VmtsDMCqLajDezlcE2PipeGBy7MmjbNp7xiIgko2G9hrFx50bWbl8byvnjnZEsAy4CXjko/ilwrrsXAeOBRw/af6W7Dwq2jUHsGmCru/cBJgN3AphZF+AOYBgwFLjDzLKDNncCk929L7A16ENEpFXZt+Ae1jpJXIXE3cvcfUWM+CJ3Xx+8XA5kmlm7ero7H3g4eD4dON3MDBgDzHb3Le6+FZgNjA32nRYcS9D2gnjGIyKSjIpyi2iX3i60dZLmWCP5BrDI3XdHxR4MLmv9e1AQAHoB6wDcvRrYDuRExwPlQSwH2BYcGx0XEWlV2qa3ZXCPwaHNSDLqO8DM/gEcFWPXbe7+fD1tjydy+enMqPCV7v6xmWUBTwPjgEcAi9GFNyJeVy4TgYkAubm5lJaWHir1OlVWVja6bbLSmFsHjTm59fSezCyfyctzXybd0us8LhFjrreQuPsZjenYzPKAZ4Gr3X11VH8fB487zOwvRNY9HiEyo8gHys0sA+gEbAniJVFd5wGlRNZhOptZRjAryQPWUwd3nwJMASguLvaSkpK6Dj2k0tJSGts2WWnMrYPGnNw+6vwRzzz/DL2KetGva786j0vEmBNyacvMOgMvAre4+2tR8Qwz6xo8bwOcQ2TBHmAGkYV5gIuBOR65l+0l4Ewzyw4W2c8EXgr2zQ2OJWh7yBmSiEiqGtJjCABvV7zd7OeO9/bfC82sHBgOvGhmLwW7rgf6AP9+0G2+7YCXzGwJsBj4GPifoM0DQI6ZrQJuAm4GcPctwC+BN4PtF0EM4GfATUGbnKAPEZFWp3+3/mRmZIZSSOq9tHUo7v4skctXB8d/BfyqjmYn1dFXFXBJHfumAlNjxD8gcmlMRKRVy0jLoKh7UfLNSEREpOUY0mMIizYsavZ3uKuQiIikiMFHDWZb1TbWbFvTrOdVIRERSRFhLbirkIiIpIii3CLSLZ1FGxY163lVSEREUkRmRiYDug3QjERERBpvSI8hKiQiItJ4Q3oM4ZOdn1Cxo6LZzqlCIiKSQgYfNRho3gV3FRIRkRQy6KhBgAqJiIg0Ula7LPp26dusd26pkIiIpJgTck9g6calzXY+FRIRkRRzQu4JrN6ymp17djbL+VRIRERSTFH3Ihxn+ablzXI+FRIRkRRTlFsEwJJPljTL+VRIRERSTO/s3nRo04GlnzTPOokKiYhIikmzNAZ2H9hsC+4qJCIiKeiE7iew5JMlzfLdJCokIiIpqCi3iM27NrOhckPCz6VCIiKSgoq6Rxbcm+PylgqJiEgKas47t1RIRERSUNcOXelxRI+WPyMxs0vMbLmZ1ZpZcVS8wMx2mdniYPvvqH0nmdlSM1tlZn80Mwvi7czsiSC+wMwKotqMN7OVwTY+Kl4YHLsyaNs2nvGIiKSSotyipJiRLAMuAl6JsW+1uw8Ktmuj4n8CJgJ9g21sEL8G2OrufYDJwJ0AZtYFuAMYBgwF7jCz7KDNncBkd+8LbA36EBERIndulW0qo7q2OqHniauQuHuZu69o6PFm1gM40t3ne+SetEeAC4Ld5wMPB8+nA6cHs5UxwGx33+LuW4HZwNhg32nBsQRt9/UlItLqFeUWsbtmNys3r0zoeRK5RlJoZovM7H/NbGQQ6wWURx1THsT27VsH4O7VwHYgJzp+UJscYFtw7MF9iYi0eifkngAkfsE9o74DzOwfwFExdt3m7s/X0awCONrdN5vZScBzZnY8YDGO3fdumbr2HW48JjObSOSSGrm5uZSWltZ16CFVVlY2um2y0phbB4059eyp3UMaacxcOJPcT3OBxIy53kLi7mccbqfuvhvYHTx/y8xWA8cSmTXkRR2aB6wPnpcD+UC5mWUAnYAtQbzkoDalwKdAZzPLCGYl0X3FymkKMAWguLjYS0pK6jr0kEpLS2ls22SlMbcOGnNq6r28N593/Hz/OBMx5oRc2jKzbmaWHjzvTWRR/QN3rwB2mNnJwRrH1cC+Wc0MYN8dWRcDc4J1lJeAM80sO1hkPxN4Kdg3NziWoG1dMyQRkVapf9f+lG0qS+g54r3990IzKweGAy+a2UvBrlHAEjN7h8hi+LXuviXYdx1wP7AKWA3MCuIPADlmtgq4CbgZIGj3S+DNYPtFVF8/A24K2uQEfYiISGBAtwG8v/n9hN65Ve+lrUNx92eBZ2PEnwaerqPNQmBgjHgVcEkdbaYCU2PEPyByS7CIiMTQv2t/9tbuZfWW1RzX9biEnEPvbBcRSWEDug0A4N1N7ybsHCokIiIprF/XfgCUfZq4dRIVEhGRFJbVLov8I/M1IxERkcbr362/ZiQiItJ4A7oOoGxTGbVem5D+VUhERFJc/2792VW9i7Xb1yakfxUSEZEUl+g7t1RIRERSXP+u/QES9g53FRIRkRSX0yGH7h27J2zBXYVERKQV6N+1vy5tiYhI4w3oNoCyT8uIfN5t01IhERFpBfp37c+2qm1s2bOl/oMPkwqJiEgrMLTXUL55/DfZ63ubvG8VEhGRVmBY3jCeuPgJjsqM9YW38VEhERGRuKiQiIhIXFRIREQkLiokIiISFxUSERGJiwqJiIjERYVERETiokIiIiJxsUR87kpLZ2abgI8a2bwr8GkTppMMNObWQWNuHeIZ8zHu3u3gYKssJPEws4XuXhx2Hs1JY24dNObWIRFj1qUtERGJiwqJiIjERYXk8E0JO4EQaMytg8bcOjT5mLVGIiIicdGMRERE4qJCIiIicVEhaSAzG2tmK8xslZndHHY+iWZm+WY218zKzGy5md0Qdk7NxczSzWyRmb0Qdi7Nwcw6m9l0M3sv+PceHnZOiWZmNwb/XS8zs8fMLDPsnJqamU01s41mtiwq1sXMZpvZyuAxuynOpULSAGaWDtwLnAUMAC43swHhZpVw1cCP3L0/cDLwb61gzPvcAJSFnUQz+gPwN3fvB5xIio/dzHoBPwCK3X0gkA5cFm5WCfEQMPag2M3Ay+7eF3g5eB03FZKGGQqscvcP3H0P8Dhwfsg5JZS7V7j728HzHUR+ufQKN6vEM7M84OvA/WHn0hzM7EhgFPAAgLvvcfdtoSbVPDKA9maWAXQA1oecT5Nz91eALQeFzwceDp4/DFzQFOdSIWmYXsC6qNfltIJfqvuYWQEwGFgQcirN4ffAT4HakPNoLr2BTcCDweW8+82sY9hJJZK7fwzcDawFKoDt7v73cLNqNrnuXgGRPxaB7k3RqQpJw1iMWKu4b9rMjgCeBn7o7p+FnU8imdk5wEZ3fyvsXJpRBjAE+JO7DwZ20kSXO1qqYF3gfKAQ6Al0NLOrws0quamQNEw5kB/1Oo8UnAofzMzaECki09z9mbDzaQanAOeZ2Roily9PM7M/h5tSwpUD5e6+b7Y5nUhhSWVnAB+6+yZ33ws8A4wIOafm8omZ9QAIHjc2RacqJA3zJtDXzArNrC2RhbkZIeeUUGZmRK6bl7n7pLDzaQ7ufou757l7AZF/4znuntJ/qbr7BmCdmR0XhE4H3g0xpeawFjjZzDoE/52fTorfYBBlBjA+eD4eeL4pOs1oik5SnbtXm9n1wEtE7vCY6u7LQ04r0U4BxgFLzWxxELvV3WeGl5IkyPeBacEfSR8A3wo5n4Ry9wVmNh14m8jdiYtIwY9KMbPHgBKgq5mVA3cAvwOeNLNriBTUS5rkXPqIFBERiYcubYmISFxUSEREJC4qJCIiEhcVEhERiYsKiYiIxEWFRERE4qJCIiIicfn/3o1hg5KIyKUAAAAASUVORK5CYII=\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "plot(out4(1,:),out4(4,:),'g','LineWidth',4); % Output_4\n", - "legend('out gain F')\n", - "grid on" + "plt.plot(out4[0,:],out4[3,:],'g')# Output_4\n", + "plt.legend(['out gain F'])\n", + "plt.grid()\n", + "plt.show()" ] }, { @@ -1133,71 +1095,70 @@ ] }, { - "attachments": { - "Slide5.PNG": { - "image/png": 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" - } - }, "cell_type": "markdown", "metadata": {}, "source": [ - "<img src=\"attachment:Slide5.PNG\" width=\"700\"/>" + "<img src=\"bilder/v08_B.png\" width=\"700\"/>" ] }, { "cell_type": "code", - "execution_count": 36, + "execution_count": 34, "metadata": {}, "outputs": [ { "data": { - "image/png": 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p6CmNRqNYLD4+PjpbKpVKo9FoNBqVSkV+Ke+V2+VjisWic3vIgHLKp1KpyKGcB/SM3LMDQwbvls1mh9wrZ7zkje+++657o1yY/uz4z+r/4JhDAoDx9f8Ea896a+fL7u3OGu4xBnTudbb3jDZkcIdsAD77MCGEnK8aOB+mDgIJAKarfwrKK89eCWJ3d1c2IZvNppzlikajToYVCoVRYm9mCCQAmC4ffzpVzmYJIeSkkVw9IbcoFUUSgQQAQdYdhz2XflAtk1j2DQBQAoEEAFACgQQAUAKBBABQAoEEAFACgQQAUAKBBABQAoEEAFACgQQAUAKBBABQAoEEAFACgQQAUAKBBABQAlf7BgBRKpXECL9eyMcBu7VarVar5eNvtZgSKiQApksmk/L3eVuWlc/nhRDVavXg4KD/kU9tf3ZAb+Xz+Vwu5/mwvqNCAmC0UqkUDofl76+TZYdlWdVqtVQqNZtNIYT8W/7qIGd7NBpttVrVarXnNwwNHHB1dTUcDlerVdH1K4iazWb3yPJLZ7SnBhdCJJPJ3377LZPJDHw71WrVGWH0X3CuCCokAEaLRqPVajWfz8s8aLVaQohGo9FqtT59+mRZVrFYzOVysjCS25vNZqvVkmVQNpvtqZn6B8zlcul0Wo5jWZYQotlsdo/cbDblAyzLurq6GjK4EKJarT6VRkKIQqFwdXUlhLi6uioUCp4frunqTF8sFpvBqwQGh8stjphbah6xAacjIbz/M0ixWMxkMouLi4uLi4VCQW5ZWVl5fHxsNBqdTqdQKKysrDjbO51ONpvN5XLy6d98883wATOZTCaTkXctLi4+Pj72jJzJZOTrNhqNQqEwfPBOp9M9YI9KpbKzs9PpdFZWVuRLTFv/Bzf2NxgtOwBGk30tp2+WTCadNler1To4OGi1WuFwuOdZj4+PhUJBliDRaLRUKhWLxW+//dayrP4BNzY2FhYW5BNl7y4ajXaPXK1W3759K74sgjg4OOge3NXbSSaT1WpVNgO1W/VAyw6Aqjod7//0ubq6ymaz8nY0Gu3Onlwut7GxUSqVdnd3e5719ddf7+7ulkqlUqn09u3b1dXV4+Nj2Y4bMqD4ElE9IyeTSRkhctFEz+BuD9vq6qplWRsbG26f6DsqJABGsywrnU7LmqZUKqXTablgodlsLi0tZbPZSqUiv5RzQs1ms1QqyWc1Go1qtdpz6u8fUAiRz+flIOl0OhwOv379unvkn3766ccff2w0GqVS6fj4OJlMPjV4D5lYnT8G7cbGxt///nc5k6SZSduHI1CzYa0sDpdbHDG31DxiszkdPaXRaBSLxcfHR2dLpVJpNBqNRqNSqcgv5b1yu3xMsVh8ap6me0A55VOpVORQzgN6Ru7ZgSGDd8tmsz1bnGmk2ej/4JhDAoDx9f8Ea8+CaefL7u3OGu4xBnTudbb3jDZkcEf/wu58Pp/NZqfxw08zQCABwHT1T0F5pT/20un06uqqdssZJAIJAKZrlvEQDof71wTqglV2AAAlEEgAACUQSAAAJRBIAAAlEEgAACWwyg6AKkKhkN+7AD8RSACU0Bl0oTlFxOPxer3u914EHy07AIASCCQAgBIIJACAEggkAIASCCQAgBIIJACAEggkAIASCCQAgBIIJACAEggkAIASCCQAgBIIJACAEggkAIASCCQAgBIIJACAEggkAIASCCQAgBIIJACAErwJpFqtZtu2J0MBAMz01YTPb7fb29vbiUTCtu1EIrG/vz/wYaGQ6HQmfCkAQJBNWiEVCoWlpaWjo6OLi4uPHz96sk8AAANNWiGtra3JG+12e+KdAQCYa9JAikQiQohyuXx6empZlhe7BAAwUagz8dzOycnJw8PD+/fvZTj1i8fj9fv70JcvY7HYhK8IAFDK/f29czsWi9Xr9TEGmbRCury8fHh4ODs7e/aRkyefIeLx+HifpbE4Ym5xxNziiLkSj8fHe+KkgSQXfG9tbckvLy4uJhwQAGCmSQPp6OjIk/0AABiOKzUAAJQww0AKhZ5/DADAVFRIAAAlEEgAACUQSAAAJRBIAAAlEEgAACXMNpBYaAcAeMKMAikkuG4QAGAYWnYAACUQSAAAJRBIAAAlEEgAACXMPJBYaAcAGGR2gcRCOwDAELTsAABKIJAAAEogkAAASiCQAABK8COQWGgHAOgz00BioR0A4CkzCqQOSQQAGIo5JACAEggkAIASCCQAgBJ8CiQW2gEA/mjmgcTyBgDAILTsAABKIJAAAEogkAAASvAvkFjXAADo4kcgsa4BANCHlh0AQAkEEgBACQQSAEAJvgYS6xoAAF/4FEisawAA/BEtOwCAEmYXSLIooksHABiICgkAoAQCCQCgBL8DiRYeAEAI4WcgsdAOANDF7woJAAAhBIEEAFAEgQQAUIICgcS6BgCAz4HEugYAwBcKVEgAABBIAABFEEgAACWoEUisawAA4/kdSKxrAAAIIfwPJAAAhBC+BBL9OQBAv5kGEv05AMBTlGnZUTcBgNkUCCTqJgCAEoEEAACBBABQBIEEAFCCSoHEugYAMJgagcS6BgAwnhqBBAAwHoEEAFACgQQAUIJigcS6BgAwlTKBxLoGADCbMoEEADCbu0Bqt9u2bU/+qnTmAAA9vnL16EKh8K9//Wt/f79745s3bxKJhBAikUj03NWv03kujUIh2ncAYCAXgbS+vn53d/fDDz90b7RtO5FIXFxceLxfAADDuGjZXV9f96SREMK27fn5+cPDw5OTk3a7PdG+UBgBgMEmXdTQbrdfvHiRSqUWFhb29vY82ScAgIHczSH1S6VSqVRKCLG8vHxzc/PUw0J/mDjqCCHi8Xj/w+pCPHWXUTgCbnHE3OKIucURG+7+/t65HYvFxhtk0kA6Pz9PJBLLy8vDH9bpasfJbKrX6wMeFwoJIer39ya37+Lx+OCDgydwxNziiLnFEXNl7PAeP5DK5fL29vaHDx/29vbW1tbu7u42NzfHHu2/nl+EBwAIJneB1L2qe3l5Wf6X4ddffy2Xy+/evYtEIh7vHQDAGJO27KRnW3YAAAzHpYMAAEpQNZCYSQIAw6gXSAavrwMAk6kXSAAAIxFIAAAl+BZIz08SMY0EACbxIZCenyRiGgkAzEPLDgCgBAIJAKAEtQOJaSQAMIaqgcQ0EgAYRtVAAgAYhkACACiBQAIAKEH5QGJdAwCYQeFAYl0DAJhE4UACAJiEQAIAKMHPQBp1eohpJAAwgD+BNOr0ENNIAGAMWnYAACUQSAAAJWgSSEwjAUDQKR9ITCMBgBmUDyQAgBkIJACAEvQJJKaRACDQdAgkppEAwAA6BBIAwAAEEgBACVoFEtNIABBcPgfSqBHDNBIABJ1vgUTEAAC6adWyAwAEl26BxDQSAASUPoFEjw8AAk2fQAIABBqBBABQgoaBxDQSAASRVoHENBIABJdWgQQACC49A4muHQAEjm6BRNcOAALK/0Ci2gEACH8DiWoHAODwv0IaE4UVAASLhoFEYQUAQaRhIAEAgkjnQKJrBwABonMgAQACRM9AYhoJAAJHz0ACAASO5oHENBIABIW2gUTXDgCCRYlAos4BAPgcSB7UOaQZAASCEhXSmOjaAUCA6BxIAIAAIZAAAEoIRCAxjQQA+tM8kJhGAoCg0DyQAABBEZRAomsHAJrTP5Do2gFAIOgfSACAQFAlkDxoudG1AwCd+R9IHrTc6NoBgP78DyQAAIRXgdRut23b9mSoidC1AwBteRNIhULh559/9mQoAICZPAik9fX109PTyceZCNNIAKA5DwLp+vr6hx9+mHwcAIDJAreogWkkANDTV7N5mVBXTsRisb7760KIeDw+0WvEYvX7ew/GUUAA3sKMccTc4oi5xREb7v7+3rk96CQ/khkFUmfoHI9Mq3q9PunLhELejOOreDyu+1uYMY6YWxwxtzhirowd3gq17DxrttG1AwANeVMh7e/vT/L0TsejEPFsIADArClUIQEATBbQQKJOAgDdBC6Q+AlZANBT4AIJAKCn4AYSXTsA0EoQA4muHQBoKIiB5KBIAgB9qBVIJAgAGEuVQPK4zUbXDgB0o0ogTQs1FwBoIriBRJEEAFoJbiABALRiQCDRtQMAHQQ6kOjaAYA+Ah1IAAB9mBFIdO0AQHnKBZLH2UHXDgA0oVAgTTc7KJIAQG0KBRIAwGQGBBJdOwDQgQGB5KBrBwAKMyOQKJIAQHlmBBIAQHmGBRJdOwBQlYqBNJXUoGsHAGpTK5BmkRoUSQCgJLUCabookgBAYSYFkoMiCQDUY2QgAQDUY1gg0bUDAFUZFkgOunYAoBjzAokiCQCUpGggzaKAoUgCAJUoF0izKGAokgBAPcoFEgDATGYHEl07AFCGqYFE1w4AFGNqIDkokgBADQYHEkUSAKhE3UCaXelCkQQAClAxkGZXulAkAYAyVAwkH1AkAYDfjA8kiiQAUIPxgeSgSAIAXxFIAAAlEEhdXTuKJADwj9KBREAAgDkUDaRZLzVgaQMA+E3RQPINRRkA+IRA+oIiCQB8RSD1oUgCAD8QSF0okgDAPwTSIBRJADBzqgfSrKOBn0kCAJ+oG0j0zwDAKOoGkm8okgDADwQSAEAJBNIgFEkAMHMEEgBACRoEkj9VCkUSAMyW0oHk80I71vkBwAwpHUiqoEgCgOkjkIaiSAKAWSGQRkORBABTpkcg+RkHrG4AgJlQPZDomQGAIVQPJCVQJAHA9BFIo6FSA4ApI5BcokgCgOlwF0i1Wq3dbk9pV1RH4w4Apumr0R+6tbUViUTu7u7ev3+/vLzsbH/z5k0ikRBCJBKJ/f197/dRCCFEKETbDACCbNRAurm5iUQiR0dHtm0fHh46gWTbdiKRuLi4mNYOCtHpKFOTOLtCPAKA10Zt2dVqtVevXgkhIpHI7e2ts9227fn5+cPDw5OTEyO6eTTuAGA6XMwhRSIReWNpacnZ2G63X7x4kUqlFhYW9vb2PN47AIAxXMwh2bYtb3RXSKlUKpVKCSGWl5dvbm6eem6oq56IxWKud1PUhRDxeNz9E6cgFqvf3wshRCgUH+e9PE+Vd6oPjphbHDG3OGLD3cuzohBizJO8EKMH0qtXr2q1mvgyaeRsPz8/TyQS3WscBupMNuMi4+z+vq7QxE0oJISo1+ueDxyPx6cxbIBxxNziiLnFEXNl7PAeNZBSqdT5+fnJycnt7e3Ozo4Qolwub29vf/jwYW9vb21t7e7ubnNzc7ydeJZC6xp6sLoBADziomV3fX1dLpffvXsnJ5OWl5flfxl+/fXX7u2mYMUdAHjKRSAJIZ5qzT3bsgsmMgkAvKPZpYMUbdwBACamTSApWoHwY0kA4BFtAkldZBIAeIFAAgAogUDyAkUSAExMv0BS9JxPJgHAZHQKJEXXNTjIJACYgE6BBAAIMALJUxRJADAuLQNJ6bM9mQQAY9EskFSfRpLIJABwT7NA0gaZBAAuEUjTRyYBwAh0DSQNTvJ6tBcBQBX6BZJO53kadwAwMv0CSTNkEgCMRuNA0uYMTyYBwAi0DCSdunYSmQQAz9EykLREJgHAUATSDJFJAPA0vQNJvxM7mQQAT9A1kPSbRnKQSQAwiK6BFBBkEgB8oX0gaXlK767vtHwDAOA9jQNJ466dIJMAoJfGgaS9Tof5JABwBCGQ9D6Zk0kAIITQPZD07to5yCQA0D2QgoNMAmC8gARSEE7jXzKpfn8fiPcDAO5oH0gB6dpJLL0DYDDtA8kRkBM4mQTAVMEJpMCIx2JMKQEwUBACKVBdO0d3JhFLAAwQhEByBO28TfsOgEkCEkjBLJIEmQTAIAEJJEcAT9o9VxgK4DsEACGCFEiBLZIkSiUAQRecQHIE9nTdk0mBfZ8ADBXAQAqy7vadCHD2AjBRoALJlJ/eoVQCEESBCiSDUCoBCJygBZIpRZLEAjwAARK0QDIRHTwAgRDAQDKrSJL6O3gGvXkAARHAQBKB/5mkpxBLAHQWzEBymHhC7kljYgmAJgIbSIYWSVJPqSSIJQAaCGwgOcw9DxNLALQS5EAycXVDP2IJgCaCHEiCTHLIWGLJAwCFfeX3DmC2ZCY5UeTcMHrODYASAl4hCYqkgejjAVBP8ANJkElPeSqWOEwA/GBEIAkyaYj+6SVBMgHwgYlzSKEQMyaDDAxtJpkAzIopFZLgl4CPjpoJgB8MCiRBJrlFMgGYIeNadp3OH9Y804gayfBunqChB8ADxgWSIJMm8dTiEMIJwMRMDCTxxx8PJZPGMaT7STgBGIuhgSQ5pZL8m5PnmEYMJ8EhBjCM0YEkaN95bvi6EfIJwNNMDyTR174TnCe90r88rwf5BKALgfRfPaWS4PToObf5NPBZAIKLQPp/Ay+EzflwWp7NpyHb+VSAICKQevH7Gfwx8PiOllJ1wecEBAGBNFhPLAnOeL5wlVKj3MuHByjMm0sH1Wq1drvtyVBKGX7pnCldPef+/n4q4waG86l8+RNyNj6r+8Mb8ifo+B5ziyM2Gx5USFtbW5FI5O7u7v3798vLy5MPqKBRLlDQ80j4YPjRHz1p3GYSnzrghUkD6ebmJhKJHB0d2bZ9eHgY1EByPHt51qdOZZyy/DfiZzBGheRtUcX3Ckw1aSDVarVXr14JISKRyO3trRe7pI3+88aQ85KbU1aHBX5+cnvcPW/xTb9n2JnwVfjWxHR40LKLRCLyxtLS0uSjaW2MOfghDJjL8ErH12Pl5dm5I3T41M371pw0wk0Ti433PA8CybZteWNIhRSPxyd/IU2N+9HARHHBtwvMNWkgvXr1qlarCSFs204kEgMfU6/XJ3wVAEDghToTt4PX19eXlpZub293dnZSqZQnuwUAMI0HgSSEKJfLkUjEmUwCAMAtbwIJAIAJeXOlhiGCehGH6anVas46EYzItm2+zUZn2zbfY6PjJDaidrvd833l9tD979/+9jePd6rL1taWbdvn5+c09EbRbre///77f/7zn7/88svvv//+5z//2e890kO73f7LX/7y17/+1e8d0cPh4WG1Wv3ll1/+85//yB8ixFOcf5Knp6d/+tOfOFzD/eMf/6hUKs6Ja4zz/xQrJOciDmdnZ/l8fnovFBiFQmFpaeno6Oji4uLjx49+7442Tk9P5+bm+D/sKMrlshBC/quUtzHEx48f5T/J6+vrm5sbv3dHaevr66enp86X453/p3i1b5Mv4jCetbU1eYNz6+jOz89fvnxp2/b8/Lzf+6KBT58+vXz58vLyUghxdnbm9+6oLpFIXF5elsvlu7u7p36sBdL19fXJyYnz5Xjn/+nOIXERB1dkYVsul7e3ty3L8nt3NFCr1Wq12s7Ojt87opOff/5ZCPH58+etrS2/90V1kUhkbm7u5ubm5ubm5cuXfu+OZsY4/0/39yGNchEHdDs5OXl4eDg7O2PKbRTn5+cvXrw4OTmR1/a1LIvj9qy1tbXNzU0hxPr6ut/7orp8Pp9KpeThWllZkTcwojHO/1MMpFEu4oBul5eXMo383hFt7Ozs/Pvf/xZC3N7eplKpubk5v/dIdS9fvvz8+bO8TWcY0zPe+X+KgZRKpc7Pz09OTuRFHKb3QoEhF3w7jZSLiws/90YHzqqnubm5wP/qE09sbm6ur6+fnJzc3d3RFn7Wu3fvtra2Pn/+fHd350zxYhTjnf+n/oOxXMQBUA3/Kl3hcI3N7aHjSg0AACVM/UoNAACMgkACACiBQAIAKIFAAgAogUACACjh/wCQ6357rVPrxgAAAABJRU5ErkJggg==\n", + "image/png": 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\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "% Instance of the simulation schematic\n", - "sc5 = Schema(tini,tfinal,dt,nflows);\n", + "sc5 = Schema(tini,tfinal,dt,nflows) # Instance of the simulation schematic\n", "\n", - "% List of components\n", - "c5{1} = Constant(1,0); %Just for reference for plotting graph, not being used here.\n", - "c5{2} = StateSpace(4,[2 3],A1,B1,C2,0,xo);\n", - "c5{3} = Gain([2 3],4,-[4 0]); \n", + "c5_1 = Constant(1,0);\n", + "c5_2 = StateSpace([4],[2,3],A1,B1,C2,np.array([0]),xo);\n", + "c5_3 = Gain([2,3],[4],-1*F);\n", "\n", - "sc5.AddListComponents(c5);\n", + "sc5.AddListComponents(np.array([c5_1,c5_2,c5_3]));\n", "\n", - "% Run the schematic and plot\n", - "out5 = sc5.Run([2 3 4]);\n", - "plot(out5(1,:),out5(2,:),'b','LineWidth',4, out5(1,:),out5(3,:),'r','LineWidth',4); %Output Signal 1 & 2\n", - "legend('State-Space 1, x_{dot}','State-Space 1, y')\n", - "grid on" + "# Run the schematic and plot\n", + "out5 = sc5.Run(np.array([1,2,3,4]))\n", + "plt.plot(out5[0,:],out5[2,:],'b', out5[0,:],out5[3,:],'r'); #Output Signal 2 & 3\n", + "plt.legend(['State-Space 1, x_{dot}','State-Space 1, y'])\n", + "plt.grid()\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": 37, + "execution_count": 35, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "plot(out5(1,:),out5(4,:),'g','LineWidth',4); % Output_4\n", - "legend('out gain F')\n", - "grid on" + "plt.plot(out5[0,:],out5[4,:],'g') # Output_4\n", + "plt.legend(['out gain F'])\n", + "plt.grid()\n", + "plt.show()" ] }, { @@ -1227,17 +1188,19 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": 36, "metadata": {}, "outputs": [], "source": [ - "A = [1 1;-2 -1];\n", + "A = np.array([[1,1],\n", + " [-2,-1]])\n", "\n", - "B = [0; 1];\n", + "B = np.array([[0],\n", + " [1]])\n", "\n", - "C = [1 0];\n", + "C = np.array([1,0])\n", "\n", - "D = 0;" + "D = np.array([0])" ] }, { @@ -1253,104 +1216,110 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Steuerbarkeit des System\n", - "S_c =\n", - "\n", - " 0 1\n", - " 1 -1\n", + "Steuerbarkeit des Systems:\n", + "S_c:\n", + "[[ 0 1]\n", + " [ 1 -1]]\n", + "Rang: 2\n", "\n", - "ans = 2\n", - "Eigenwerte\n", - "ans =\n", + "Eigenwerte A:\n", + "Eigenwerte:\n", + "(-0+1j)\n", + "(-0-1j)\n", "\n", - " -0.00000 + 1.00000i\n", - " -0.00000 - 1.00000i\n", + "Regler:\n", "\n", - "Regler\n", - "warning: place: 0+1: 1 violations of the numerical stability condition NORM(F) <= 100*NORM(A)/NORM(B) occurred during the assignment of eigenvalues.\n", - "warning: called from\n", - " place at line 139 column 20\n", - "warning: place: 0+1: 1 violations of the numerical stability condition NORM(F) <= 100*NORM(A)/NORM(B) occurred during the assignment of eigenvalues.\n", - "warning: called from\n", - " place at line 139 column 20\n" + "input signal u\n" ] }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "output signal y\n" + ] + }, { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "disp('Steuerbarkeit des System');\n", - "S_c = [B A*B]\n", - "rank(S_c)\n", + "print('Steuerbarkeit des Systems:')\n", + "\n", + "column1 = B\n", + "column2 = np.matmul(A,B)\n", + "S_c = np.c_[column1,column2]\n", + "print(\"S_c:\\n\"+str(S_c))\n", + "\n", + "print_rank(S_c)\n", "\n", - "disp('Eigenwerte');\n", - "eigs(A)\n", + "print('\\nEigenwerte A:');\n", + "print_eig(A)\n", "\n", - "disp('Regler');\n", + "print('\\nRegler:');\n", "\n", "csi = 0.7;\n", "omr = 2;\n", + "u = np.zeros((10,100))\n", + "y = np.zeros((10,100))\n", + "\n", + "\n", + "for i in range(1,10):\n", + " omo = i*omr\n", + " pd = np.array([-csi*omo+1j*omo*sqrt(1-csi*csi),-csi*omo-1j*omo*sqrt(1-csi*csi)])\n", + " F = signal.place_poles(A,B,pd).gain_matrix\n", + " xini = [[2],\n", + " [2]]\n", + " Acl = A-np.matmul(B,F)\n", + " deltat=0.01\n", + " for q in range(1,100):\n", + " y[i][q] = matmul_loop([C,linalg.expm(Acl*deltat*q),xini])\n", + " u[i][q] = matmul_loop([-1*F,linalg.expm(Acl*deltat*q),xini])\n", + "\n", + "%matplotlib inline\n", "\n", - "for i=1:10\n", - " omo = i*omr;\n", - " pd = [-csi*omo+1j*omo*sqrt(1-csi*csi) -csi*omo-1j*omo*sqrt(1-csi*csi)];\n", - " F = place(A,B,pd);\n", - " xini = [2; 2];\n", - " Acl = A-B*F;\n", - " \n", - " deltat=0.01;\n", - " for q=1:100\n", - " y(i,q) = C*expm(Acl*deltat*q)*xini;\n", - " u(i,q) = -F*expm(Acl*deltat*q)*xini;\n", - " end\n", - "end\n", - "\n", - "figure\n", - "hold on\n", - "for i=1:10\n", - " plot((1:100)*deltat,u(i,:));\n", - " \n", - "end\n", - "title('input signal u')\n", - "legStr = {'pd-1','pd-2','pd-3','pd-4','pd-5','pd-6','pd-7','pd-8','pd-9','pd-10'};\n", - "legend( legStr );\n", - "\n", - "hold off\n", - "figure\n", - "hold on\n", - "for i=1:10\n", - " plot((1:100)*deltat,y(i,:));\n", - " \n", - "end\n", - "title('output signal y')\n", - "legStr = {'pd-1','pd-2','pd-3','pd-4','pd-5','pd-6','pd-7','pd-8','pd-9','pd-10'};\n", - "legend( legStr );\n", - "hold off" + "print(\"\\ninput signal u\")\n", + "\n", + "for i in range(1,10):\n", + " plt.plot(np.array(range(1, 101))*deltat,u[i,:]);\n", + "plt.grid()\n", + "plt.show()\n", + "\n", + "print(\"\\noutput signal y\")\n", + "\n", + "for i in range(1,10):\n", + " plt.plot(np.array(range(1, 101))*deltat,y[i,:]);\n", + "plt.grid()\n", + "plt.show()" ] }, { @@ -1370,17 +1339,19 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": 38, "metadata": {}, "outputs": [], "source": [ - "A = [1 1; -2 -1];\n", + "A = np.array([[1,1],\n", + " [-2,-1]])\n", "\n", - "B = [0; 1];\n", + "B = np.array([[0],\n", + " [1]])\n", "\n", - "C = [1 0];\n", + "C = np.array([1,0])\n", "\n", - "D = 0;" + "D = np.array([0])" ] }, { @@ -1393,27 +1364,29 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": 39, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Steuerbarkeit des System\n", - "S_c =\n", - "\n", - " 0 1\n", - " 1 -1\n", - "\n", - "ans = 2\n" + "Steuerbarkeit des Systems:\n", + "S_c:\n", + "[[ 0 1]\n", + " [ 1 -1]]\n", + "Rang: 2\n" ] } ], "source": [ - "disp('Steuerbarkeit des System');\n", - "S_c = [B A*B]\n", - "rank(S_c)" + "print('Steuerbarkeit des Systems:')\n", + "column1 = B\n", + "column2 = np.matmul(A,B)\n", + "S_c = np.c_[column1,column2]\n", + "print(\"S_c:\\n\"+str(S_c))\n", + "\n", + "print_rank(S_c)" ] }, { @@ -1426,25 +1399,24 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": 40, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Eigenwerte\n", - "ans =\n", "\n", - " -0.00000 + 1.00000i\n", - " -0.00000 - 1.00000i\n", - "\n" + "Eigenwerte A:\n", + "Eigenwerte:\n", + "(-0+1j)\n", + "(-0-1j)\n" ] } ], "source": [ - "disp('Eigenwerte');\n", - "eigs(A)" + "print('\\nEigenwerte A:');\n", + "print_eig(A)" ] }, { @@ -1457,29 +1429,26 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": 41, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Regler\n", - "pd =\n", - "\n", - " -3 + 3i -3 - 3i\n", - "\n", - "F =\n", - "\n", - " 23.0000 6.0000\n", - "\n" + "Regler:\n", + "Polstellen: [-3.+3.j -3.-3.j]\n", + "F: [[23. 6.]]\n" ] } ], "source": [ - "disp('Regler');\n", - "pd = [-3+1j*3 -3-1j*3]\n", - "F = place(A,B,pd)" + "print('Regler:');\n", + "pd = np.array([-3+3j,-3-3j])\n", + "print(\"Polstellen: \"+str(pd))\n", + "\n", + "F = signal.place_poles(A,B,pd).gain_matrix\n", + "print(\"F: \"+str(F))" ] }, { @@ -1492,11 +1461,11 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": 42, "metadata": {}, "outputs": [], "source": [ - "Ts = 0.1;" + "Ts = 0.1" ] }, { @@ -1509,29 +1478,31 @@ }, { "cell_type": "code", - "execution_count": 45, + "execution_count": 43, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Ad =\n", - "\n", - " 1.094838 0.099833\n", - " -0.199667 0.895171\n", + "Ad:\n", + "[[ 1.09483758 0.09983342]\n", + " [-0.19966683 0.89517075]]\n", "\n", - "Bd =\n", - "\n", - " 0.0049958\n", - " 0.0948376\n", - "\n" + "Bd:\n", + "[[0.00499583]\n", + " [0.09483758]]\n" ] } ], "source": [ - "Ad = expm(A*Ts)\n", - "Bd = (Ad-eye(2))*inv(A)*B" + "Ad = linalg.expm(A*Ts)\n", + "print(\"Ad:\\n\"+str(Ad))\n", + "\n", + "einh = np.array([[1,0],\n", + " [0,1]])\n", + "Bd = matmul_loop([(Ad-einh),inv(A),B])\n", + "print(\"\\nBd:\\n\"+str(Bd))" ] }, { @@ -1544,22 +1515,21 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "pdd =\n", "\n", - " 0.70773 + 0.21893i 0.70773 - 0.21893i\n", - "\n" + "pdd: [0.70773068+0.21892675j 0.70773068-0.21892675j]\n" ] } ], "source": [ - "pdd = exp(pd.*Ts)" + "pdd = np.array(exp(pd*Ts))\n", + "print(\"\\npdd: \"+str(pdd))" ] }, { @@ -1572,22 +1542,20 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": 45, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Fd =\n", - "\n", - " 17.4834 5.1372\n", - "\n" + "Fd: [[17.48338056 5.13723447]]\n" ] } ], "source": [ - "Fd = place(Ad,Bd,pdd)" + "Fd = signal.place_poles(Ad,Bd,pdd).gain_matrix\n", + "print(\"Fd: \"+str(Fd))" ] }, { @@ -1601,29 +1569,25 @@ ] }, { - "attachments": { - "Slide6.PNG": { - "image/png": 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" - } - }, "cell_type": "markdown", "metadata": {}, "source": [ - "<img src=\"attachment:Slide6.PNG\" width=\"700\"/>" + "<img src=\"bilder/v08_beispiel6.png\" width=\"700\"/>" ] }, { "cell_type": "code", - "execution_count": 50, + "execution_count": 46, "metadata": {}, "outputs": [], "source": [ - "% Instance of the simulation schematic\n", - "nflowsd = 11;\n", - "tfinal = 4;\n", - "dt = 0.01;\n", + "# Instance of the simulation schematic\n", + "nflowsd = 12\n", + "tfinal = 4\n", + "dt = 0.01\n", "\n", - "C2 = eye(2);\n", + "C2 = np.array([[1,0],\n", + " [0,1]])\n", "sc6 = Schema(tini,tfinal,dt,nflowsd);" ] }, @@ -1637,12 +1601,12 @@ }, { "cell_type": "code", - "execution_count": 51, + "execution_count": 47, "metadata": {}, "outputs": [], "source": [ - "c6{1} = StateSpace(1,[2 3],A,B,C2,D,xo);\n", - "c6{2} = Gain([2 3],4,-Fd);" + "c6_1 = StateSpace([1],[2,3],A,B,C2,D,xo);\n", + "c6_2 = Gain([2,3],[4],-1*Fd);" ] }, { @@ -1656,52 +1620,54 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": 48, "metadata": {}, "outputs": [], "source": [ - "c6{3} = ZOH(4,1,Ts);" + "c6_3 = ZOH(4,1,Ts);" ] }, { "cell_type": "code", - "execution_count": 53, + "execution_count": 49, "metadata": {}, "outputs": [], "source": [ - "c6{4} = StateSpace(5,[6 7],A,B,C2,D,xo);\n", - "c6{5} = Gain([6 7],8,-F);\n", - "c6{6} = ZOH(8,5,Ts);\n", - "c6{7} = StateSpace(9,[10 11],A,B,C2,D,xo);\n", - "c6{8} = Gain([10 11],9,-F);\n", + "c6_4 = StateSpace([5],[6,7],A,B,C2,D,xo);\n", + "c6_5 = Gain([6,7],[8],-1*F);\n", + "c6_6 = ZOH(8,5,Ts);\n", + "c6_7 = StateSpace([9],[10,11],A,B,C2,D,xo);\n", + "c6_8 = Gain([10,11],[9],-F);\n", "#c6{9} = Gain([2 3],12,[0 1]);\n", "#c6{10} = Gain([6 7],13,[0 1]);" ] }, { "cell_type": "code", - "execution_count": 54, + "execution_count": 50, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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rElqXSLxYTUqXUiL592ozgd6xIwwdCkuXehdMmOCeNewibUB2dja7d+9WqKcIay27d+8mOzu7Re9r0YVFqW7UKDcvl7Vg+vSBPn1coKf45D4iofTu3ZuKigp27twZk+0fPny4xeETD8laF4SuLTs7m969e7dom20u0J98ErZsgX79cL30xYu9CR96XhiRVJWZmUm/fv1itv3y8vIWXQATL8laF8SmtjYz5AIBDox+/bX3lkYiIqmtTQV6fr67C90nn3gXaBxdRFqRNhXo7dq5A6MNJ7aMGAGdOinQRaRVaFOBDu56ooapQzMy3BVHCnQRaQXaXKAXFsI//gE7dngXTJgAn34KUZocR0QkUdpcoBcUuOeGYZexY6Guzs2+KCKSwhTo9ae+NFxxJCKSmtpcoHfrBr16+Yyjd+sGJ52kQBeRlNfmAh3cOHqjKVxGj3YTdYmIpLA2GegFBbBuHVRVeReMHg0VFbAtJjdZEhGJizYZ6MOGQW0tfP65d8Ho0e654RJSEZHU02YDHWDNGu+CkSPdOekaRxeRFNYmA33QIEhP9wn09u3dvAAKdBFJYW0y0LOzYcAAn0AHN+yydKk7J11EJAW1yUAHN+zSLND37/cZWBcRSS1tOtA3bYLDh70L6g+MathFRFJUmw70ujrYsMG7YPBgyMlRoItIymrTgQ4+wy7p6VBSokAXkZTVZgP9e99zZyo2G0dfudJnHEZEJHW02UBv1w4GDmwS6KNGQXU1fPZZwuoSEYlUmw108HOmS3Gxe264R52ISOpo84G+eTMcPOhdcOKJ0LWr5kYXkZTU5gPdWli/3rvAGNdLVw9dRFJQmw90aDLsUlTkxtCPHElITSIikWrTgT5wIGRm+hlHP3IEVq9OWF0iIpFo04Gemekm6mrWQwcNu4hIymnTgQ5+znQ56STIzdWBURFJOQr0YfDll3DggHeBMa6Xrh66iKQYBbr3wOi6dT4Li4rcTUerqxNSk4hIJEIGujFmrjFmhzHG71FCY0yZMWafMWal93F79MuMHb9nuhQXuxuONkp5EZHkFk4P/Sng9BBtFltrC72Pnx19WfFz0kluGgC/B0Y1ji4iKSRkoFtrFwHfxqGWhMjIcDPnNgr0gQOhUyeNo4tISjHW2tCNjOkLvGqtHe5nXRnwIlABbANustauadrO23YWMAsgLy+veN68eREVXVlZSadOnSJ6rz8///kQ1qzJZd68jxqWFV5/Paa2lhWPPJKwuqJFdbVcstamulomWeuCyGubNGnScmttid+V1tqQD6AvsDrAus5AJ+/XZwIbw9lmcXGxjdTChQsjfq8/d99tLVi7f7/PwhtusLZ9e2urqxNWV7SorpZL1tpUV8ska13WRl4bsMwGyNWjPsvFWrvfWlvp/fp1INMY0/1otxtP9QdG1671WVhcDIcO+dzSSEQkuR11oBtjjjPGGO/Xo73b3H20242ngHO6gA6MikjKCOe0xeeBvwGDjDEVxpgfGWNmG2Nme5vMAFYbY1YBDwMXef8sSBn9+0N2dpNAHzQIOnTQgVERSRkZoRpYay8Osf4RIPwjh0koPd3PmS7p6VBYqB66iKSMNn+laL1mc7qAG0dfsQLq6hJSk4hISyjQvYYPh4oK2LfPZ2FRkZvk5fPPE1aXiEi4FOheAc90AY2ji0hKUKB7+T3TZcgQd7RU4+gikgIU6F59+7qTWhoFekYGFBQo0EUkJSjQvdLSXIe82Z3nSkrckIsOjIpIklOg+wh4povHAxs3JqQmEZFwKdB9DBsG27fDnj0+C0u8c+AsW5aQmkREwqVA9xHwwGj79hpHF5Gkp0D34TfQMzLcFaPqoYtIklOg+zjhBHdfi2bj6CUl7orR2tqE1CUiEg4Fuo+0NBg6NMCB0cpKXTEqIklNgd7EsGEBTl0EDbuISFJToDcxbBjs2AG7dvksHDzYXXWkA6MiksQU6E0M9941tdlUuiNHqocuIklNgd6E3zNdQAdGRSTpKdCb6NULOnf2M45eXAwHD8L69QmpS0QkFAV6E8YEmAJAB0ZFJMkp0P0YPtwFeqM7o37ve9Cxow6MikjSUqD7MWwY7N7tznZpkJ7u7mCkHrqIJCkFuh8BD4wWF8PKlVBTE++SRERCUqD7UR/ofi8wOnQI1q2Le00iIqEo0P047jjo2jXIgVGNo4tIElKg+2HMdwdGGxk4EHJyNI4uIklJgR5A/amLjc50SUvTgVERSVoK9ACGDYO9e90djBopLoZVq6C6OhFliYgEpEAPIOiB0cOHYe3auNckIhKMAj0Av5N0geuhgw6MikjSUaAH0KOHezQL9AED3GQvGkcXkSSjQA/C75wuaWmul65AF5Eko0APwu+ZLvDdgdEjRxJSl4iIPwr0IIYPB48Htm5tsmLUKBfmn36akLpERPxRoAcRcE6XMWPc89Klca1HRCSYkIFujJlrjNlhjGl6Al/9emOMedgYs8kY86kxpij6ZSZGwEA/4QTIy4MlS+Jek4hIIOH00J8CTg+y/gxgoPcxC3j06MtKDscc4+Z1aRboxsDo0Qp0EUkqIQPdWrsI+DZIk7OAZ6zzEdDFGNMzWgUm2rBhfi4uAjfssmED7NkT95pERPzJiMI2egG+hw0rvMuaXjSPMWYWrhdPXl4e5eXlEX1gZWVlxO9tqS5dBvDBBz15993FpPn8+uuanU0BsOqJJ9gzalTc62oJ1dVyyVqb6mqZZK0LYlSbtTbkA+gLrA6w7jXgZJ/X7wDFobZZXFxsI7Vw4cKI39tSjz9uLVj7xRdNVuzda60x1v785wmpqyVUV8sla22qq2WStS5rI68NWGYD5Go0znKpAPr4vO4NbIvCdpNCwAOjubkweLDG0UUkaUQj0BcAM71nu4wF9llrmw23pKqAk3SBG0dfssTPlUciIvEXzmmLzwN/AwYZYyqMMT8yxsw2xsz2Nnkd+ALYBPwO+EnMqk2A3Fw48UR3YWgzo0fDzp2wZUu8yxIRaSbkQVFr7cUh1lvgmqhVlIQKC929oZupv8BoyRLo1y+OFYmINKcrRcNQWAiffw4HDzZZMWIEZGdrHF1EkoICPQyFhVBX52ccPTPTTdSlKQBEJAko0MNQUOCeAw67fPKJbkknIgmnQA9D377unhZ+A33sWHdLOr8rRUTiR4EeBmOCHBgdP949f/BBHCsSEWlOgR6mggI3/XldXZMVvXq58xoV6CKSYAr0MBUWwoEDsHmzn5Unn+wCXRcYiUgCKdDDVFjonv0Ou0yYANu3k7291VwgKyIpSIEepqFDISMjwBWjEyYAkOt3fgARkfhQoIcpO9vNxeW3hz5sGHTurEAXkYRSoLdAwDNd0tNh3Dg6K9BFJIEU6C1QWAhffw27dvlZOWECHbdsgb1741uUiIiXAr0F6q8YDTSObqyFv/0trjWJiNRToLdAfaCvWOFn5Zgx2LQ0nY8uIgmjQG+BHj2gd+8Agd6xI5UDBijQRSRhFOgtVFICy5b5X7dv+HA3la4m6hKRBFCgt1BJiZsbfd++5uv2jRgBhw652RdFROJMgd5CJSXu2V9m760fZC8vj1s9IiL1FOgtVFzsnv0Nu1R37eouKVWgi0gCKNBbqHt3N7ni8uUBGkyaBIsXaxxdROJOgR6BYAdGKStz0zIGTHwRkdhQoEegpMRNo7tnj5+VpaXueeHCuNYkIqJAj0D9gVG/nfAePWD4cI2ji0jcKdAjUFTkngOOqpSVwfvvw5Ej8SpJRESBHoljjoH+/YOMo0+aBAcPBmkgIhJ9CvQIjRoFS5cGWDlxonvWsIuIxJECPUJjx8Lf/w7btvlZ2b075OfrwKiIxJUCPULjxrnngLPllpW5ibo0ji4icaJAj1BhIbRrFyTQJ01y87p89FE8yxKRNkyBHqGsLDcNQNAeeno6vPlmPMsSkTZMgX4Uxo1zpy76HVXp0gXGjIE33oh3WSLSRinQj8K4cVBVFeCGFwBTprjE93sTUhGR6FKgH4X6A6MBh8mnTAFr4e2341aTiLRdYQW6MeZ0Y8wGY8wmY8wtftaXGWP2GWNWeh+3R7/U5NOrF/TpE2QcvaTEXYWkYRcRiYOMUA2MMenA/wA/ACqAj40xC6y1a5s0XWytnRqDGpPauHFBAj09HU491R0YtRaMiWttItK2hNNDHw1sstZ+Ya09AswDzoptWalj3Dh3gVFFRYAGU6a4q49Wr45rXSLS9hhrbfAGxswATrfW/tj7+jJgjLX2Wp82ZcCLuB78NuAma+0aP9uaBcwCyMvLK543b15ERVdWVtKpU6eI3httGzZ0YvbsEm67bS1jx37RrK6snTsZd8EFbL7qKrZedFFCakym/eUrWeuC5K1NdbVMstYFkdc2adKk5dbaEr8rrbVBH8D5wBM+ry8Dft2kTWegk/frM4GNobZbXFxsI7Vw4cKI3xttNTXWdu5s7axZQerKz7e2tDSeZTWSTPvLV7LWZW3y1qa6WiZZ67I28tqAZTZAroYz5FIB9PF53RvXC/f9pbDfWlvp/fp1INMY0z3sXzkpLD0dvv/9EPNwTZvmptPdvTteZYlIGxROoH8MDDTG9DPGtAMuAhb4NjDGHGeMO+JnjBnt3W6bSa+yMvj8c9i9u53/BtOnQ20t/PWvca1LRNqWkIFura0BrgXeANYBf7LWrjHGzDbGzPY2mwGsNsasAh4GLvL+adAm1N91btWqLv4blJTAccfBK6/ErSYRaXtCnrYIDcMorzdZ9pjP148Aj0S3tNQxciTk5MCqVbn+G6SluWGXefPcPAHtAvTkRUSOgq4UjYKMDDeOHrCHDi7QPR5477241SUibYsCPUpKS+GrrzryzTcBGkyeDO3bw4IFARqIiBwdBXqUlJW554Ad8A4d4Ac/gJdfhrq6OFUlIm2JAj1KioqgY8ea4NOfn3++u6R0yZK41SUibYcCPUoyMqCk5FveeMNN2+LX9Onuzhh/+lNcaxORtkGBHkWjRn1LRQWsbTptWb3Ond3cLi+8oGEXEYk6BXoUjR69B4D/+78gjS64wA276F6jIhJlCvQo6tGjimHDQgT6tGkadhGRmFCgR9npp8OiRXDgQIAGnTvDGWfAn/+sYRcRiSoFepSdfrq7GDToZF0XXujmSNdFRiISRQr0KDv5ZHfKedB5uM46y/XUn3oqXmWJSBugQI+y7Gx3UeiCBUFOX2zf3vXSX3jBTQcgIhIFCvQYOPdc2LoVli8P0uiKK+DgQXjxxXiVJSKtnAI9BqZNcze+eOmlII3GjYOBAzXsIiJRo0CPgW7d3NwuQQPdGLj8cndg9Msv41WaiLRiCvQYOfdc2LAB1q0L0mjmTBfsTzwRt7pEpPVSoMfI2We756C99D593PjM734HVVXxKEtEWjEFeowcf7wbJg95zPPaa2HnTnehkYjIUVCgx9CMGbBihRt6CWjyZBg0CB5ps3fwE5EoUaDH0MUXu9uJPv10kEZpafCTn7g50pcti1ttItL6KNBjqGdPN1vus89CbW2QhpdfDh07wq9/HbfaRKT1UaDH2OWXu9lyFy4M0ig3F378Y3juOdiyJV6liUgro0CPsbPOcnkddNgF4Kab3CmMv/pVXOoSkdZHgR5j2dlu2paXXgoxbUvv3nDllTB3rpuJUUSkhRTocVA/bctzz4VoePPNUFMD//Vf8ShLRFoZBXocjB0LI0e6Y54BZ2AE6N8fLrkEHntMvXQRaTEFehwYA//yL7BmTYgbXwDccQdUV7tnEZEWUKDHycUXQ/fu8NBDIRqedBJcc40bS1+9Oi61iUjroECPk+xsd/3QX/4SRk7/+7+7Oxr967/GpTYRaR0U6HF0/fXQqRPcc0+Iht26uVD/61/h9dfjUpuIpD4Fehwdc4wbTfnjH2H9+hCNr70WhgyBq6+Gysq41CciqU2BHmc33uhuIn3bbSEaZmW5edK3bnW9dRGREBTocXbsse5085degg8+CNF4/Hg38P7ww/DRR3GpT0RSV1iBbow53RizwRizyRhzi5/1xhjzsHf9p8aYouiX2nrceKObuOvGG6GuLkTjX/zCXUV62WWwf39c6hOR1BQy0I0x6cD/AGcAQ4GLjTFDmzQ7AxjofcwCHo1yna1Kx47wn/8JS5e6mxUF1bmzu8T0yy/hqqtCXJkkIm1ZRhhtRgObrLVfABhj5gFnAWt92pwFPGOttcBHxpguxpie1trtUa+4lfjhD+Gpp9zwy/Tprsce0Mknw89+5gbeCwrglmZ/JCW9ykrYvt09du2Cfftg+fJeLFrkvvZ43F34jhxxj/qvq6rcbAjgLtCqf65/NLymDlNTTVptNel1NaTVVZNe531dW7+8mjRbS5qtId3WkFZXS7qtds911W65qSONOo5UHeKV7D+ThiWdWtJM/XMd6dS512mWtDRIS4f0NDe1fXq6z3O6afa60bqM+jbG+9pg0ox7g/F5rn+kpfH1tm1U/Xm/97UB49PG97X3vdakueX4btf7un4HhuLTLlB/4ssvv+HQoo8j+tmwhFlHWBuzjWr8cstODpRHVleTzbZwRXAnje4GnSKvJ5BwAr0XsNXndQUwJow2vYBGgW6MmYXrwZOXl0d5yMsm/ausrIz4vbHU0rquuKI9ixeP4pxz9vCLX3xGWrC/l8aOZcgpp5B3662sraxkx6mnxqyuSFRVpbF1a3u+/ro927a1p6KiA9u2ZbNzZxa7d2dx+HC6n3cNBCA7u5YOHWpo166OzExLRoZ7zsysIyPDkkE1aUeOkFZ1BFN1hLQj1VBdTVp1DdTUYmpqMLW1uCh2j1oXu02eM6kzWdSaDGpJo5YM6kzztnWkUWvTsN7nOp/nOvx9H+L6fcloVKIL8OvqIQs481dpUf9/GU6g+/v12fTXUjhtsNY+DjwOUFJSYsvKysL4+ObKy8uJ9L2xFEldHg9cc003Vq0q46c/DdF4wgSYMoWh993H0NJS+MEPYlZXMB6PGy5asQJWrnSP9esb38QjL89d9Hryye6vD99H9+5uSuHPPnufM888mYyMdKgzbi74NWtg7drvnr/4AvbsaVxAx47Qq5f7kGOPbfx8zDFumKrpo1MnyAjnx90JtM+sdY/aWnf8o67uu69DPYdsU2upq651HeK6OvdB9W/ELVu1ciUFI0Y0Xu/77GeZsY23ga2DujB7ln56oP469uvXrWPw4MERba/ZNq0N/6+HABurf/u6desYMmRI2O8Lurp5pIX1Pn+OGzKKTQc2RD3HwvkJrwD6+LzuDTSdOSqcNuLH1VfDm2+6i0ILCuCUU4I0zsqC+fOhtBSmTYMXXoCpU2Ne465d8P77sGgRLF7sgrw+vHv3hsJCOOccGDECBg50Qd65c5AN1tTA2rVULf4LGa//3t16b+1aOHTouza9esHQoTBmDPTtC/36uee+fd2FV0fzH/4o+Ix+xGLrhPovWdWulnFlXWLx4UflUPkOxpQNS3QZzRwo38moJKwLYFN5sJsNRyacQP8YGGiM6Qd8DVwEXNKkzQLgWu/4+hhgn8bPw2OMu/nFhAlw7rkuOIcPD/KGrl3d7Y9OP92l6NNPuxkao6iuDj75BF55xT1WrHDLs7LczJG33up63sXFrrcd0o4d7jfB++9/17U/dIjB4LrqJSUwezYMG+ZCfOhQt1xEWiRkoFtra4wx1wJvAOnAXGvtGmPMbO/6x4DXgTOBTcBB4MrYldz65ObCa6/BuHEwaRK88QYUBTvxs1s3ePtt10u/9FL4+GN3p6PMzIhrOHjQbfKVV1wt27e7Xui4cW6qgtJSl7tZWWFsbOtW152vf9RfFtu+vfvGrroKRo1iSV0dYy65JFbdXZE2J6xBRWvt67jQ9l32mM/XFrgmuqW1LSee6LJv8mQoK4NnnoGzzw7yhtxcl8A33QQPPuguPHriCdfLDdPXX8Orr7oQf+cdOHwYcnJc53/aNDjjjDB64NbCpk3w3nvfjcnU3xc1N9d15a+8EiZOdGHerl3DWw+VlyvMRaIo/KNEEnMDBrirR889142m3HAD3H23OwboV7t27irSCRPcFaWFha73e/PN0KdPs+aBhlL69YNZs1yIT5zYKHObq6tz492+PfDt3tG1Y4+F738ffvpTt6ERI9w5eiISFwr0JNO7t8vIOXNcx3v+fLjrLjeyEvAkjQsvdEdTb7sNfvtbePxxuOgiuPxy/jG4jLfeOpannnIHX32HUu6914X4kCFBjjHu3+9OY1m2zPW+Fy+G3bvdul693BhRaakL8EGDEnawUkQU6EkpO9vdru78810v/Yor3IHISy5xuV1Q4E7/azRa0aMH++9/nM+m/IxPHlrMJ/Oq+PjZPNaQDgylW8dDTB61n3+6Ec48tz3de2e7Mfe6OtizD/budbe927jRDaFs3AirVsHnn3/3Gf37u6ugJk50j379FOAiSUSBnsQmToTly93wyBNPuLsd1d8/ul07N8KRmemGsXfuhAMHAI4DzufYYy3Fx/+DmfY5Jn71v4zeu5C0cgvlwBzvBxjj/7zg9HQX1sOGuUtai4vdIy8vHt+2iERIgZ7kjHGd4unTXWAvXQobNripXXbudKd019VBjx6u1z5kiDv2ePzxBmN6ApdQvrAnaSc9CZs3uwOWe/a4I6CHDrnw7tLFPfLy3InkJ554VGfMiEhiKNBTSMeObsh60qQWvtEYOOEE9xCRVkvnjImItBIKdBGRVkKBLiLSSijQRURaCQW6iEgroUAXEWklFOgiIq2EAl1EpJUwNkF3kTfG7AS+ivDt3YFdUSwnWlRXyyRrXZC8tamulknWuiDy2k601vbwtyJhgX40jDHLrLUlia6jKdXVMslaFyRvbaqrZZK1LohNbRpyERFpJRToIiKtRKoG+uOJLiAA1dUyyVoXJG9tqqtlkrUuiEFtKTmGLiIizaVqD11ERJpQoIuItBJJG+jGmNONMRuMMZuMMbf4WW+MMQ97139qjClKotrKjDH7jDErvY/b41DTXGPMDmPM6gDrE7K/wqgr7vvK+7l9jDELjTHrjDFrjDHX+2mTqH0WTm2J+BnLNsYsNcas8tZ1l582cd9nYdaVkJ8z72enG2NWGGNe9bMuuvvLWpt0DyAd2Az0B9oBq4ChTdqcCfwVMMBYYEkS1VYGvBrnfTYRKAJWB1ifqP0Vqq647yvv5/YEirxf5wCfJ9HPWDi1JeJnzACdvF9nAkuAsYneZ2HWlZCfM+9n3wg85+/zo72/krWHPhrYZK39wlp7BJgHnNWkzVnAM9b5COhi3E00k6G2uLPWLgK+DdIkIfsrjLoSwlq73Vr7ifdrD7AO6NWkWaL2WTi1xZ13P1R6X2Z6H03Pqoj7PguzroQwxvQG/gl4IkCTqO6vZA30XsBWn9cVNP+BDqdNLIT7ueO8fwL+1RgzLA51hZKo/RWOhO4rY0xfYCSuZ+cr4fssSG2QgP3mHT5YCewA3rLWJsU+C6MuSMzP2YPAvwJ1AdZHdX8la6AbP8ua/sYNp00shPO5n+DmWygAfg28HOuiwpCo/RVKQveVMaYT8CJwg7V2f9PVft4St30WoraE7Ddrba21thDoDYw2xgxv0iQh+yyMuuK+v4wxU4Ed1trlwZr5WRbx/krWQK8A+vi87g1si6BNLIT8XGvt/vo/Aa21rwOZxpjucagtmETtr6ASua+MMZm4wPyDtfYlP00Sts9C1ZbonzFr7V6gHDi9yaqE/pwFqitB+2sCMN0YswU3NHuKMeb3TdpEdX8la6B/DAw0xvQzxrQDLgIWNGmzAJjpPUo8Fthnrd2eDLUZY44zxhjv16Nx+3l3HGoLJlH7K6hE7SvvZ/4vsM5a+98BmiVkn4VTWyL2mzGmhzGmi/fr9sCpwPomzeK+z8KpKxH7y1p7q7W2t7W2Ly4n3rXW/rBJs6jur4zIy40da22NMeZa4A3cWSVzrbVrjDGzvesfA17HHSHeBBwErkyi2mYAVxtjaoBDwEXWe0g7Vowxz+OO5Hc3xlQAd+AODiV0f4VRV9z3ldcE4DLgM+/YK8C/ASf41JaQfRZmbYnYbz2Bp40x6bhA/JO19tUk+H8ZTl2J+jlrJpb7S5f+i4i0Esk65CIiIi2kQBcRaSUU6CIirYQCXUSklVCgi4i0Egp0EZFWQoEuItJK/H/ISmpXG7ntPwAAAABJRU5ErkJggg==\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ - "sc6.AddListComponents(c6);\n", + "sc6.AddListComponents(np.array([c6_1,c6_2,c6_3,c6_4,c6_5,c6_6,c6_7,c6_8]))\n", "\n", - "% Run the schematic and plot\n", - "out6 = sc6.Run([2 6 10]);\n", - "plot(out6(1,:),out6(2,:),'.-r','LineWidth',3, out6(1,:),out6(3,:),'b','LineWidth',4);\n", - "legend('discrete out','continuous out')\n", - "grid on" + "out6 = sc6.Run(np.array([1,2,3,4,5,6,7,8,9,10]))\n", + "plt.plot(out6[0,:],out6[2,:],'r', out6[0,:],out6[6,:],'b');\n", + "plt.legend(['discrete out','continuous out'])\n", + "plt.grid()\n", + "plt.show()" ] }, { @@ -1715,30 +1681,44 @@ }, { "cell_type": "code", - "execution_count": 55, + "execution_count": 51, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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\n", "text/plain": [ - "<IPython.core.display.Image object>" + "<Figure size 432x288 with 1 Axes>" ] }, - "metadata": {}, + "metadata": { + "needs_background": "light" + }, "output_type": "display_data" } ], "source": [ "Ts2 = 0.01;\n", "\n", - "sc6.ChangeParameters(6,Ts2);\n", + "sc7 = Schema(tini,tfinal,dt,nflowsd);\n", + "\n", + "c7_1 = StateSpace([1],[2,3],A,B,C2,D,xo) #wie bei c6_1\n", + "c7_2 = Gain([2,3],[4],-1*Fd) #wie bei c6_2\n", + "c7_4 = StateSpace([5],[6,7],A,B,C2,D,xo) #wie bei c6_4\n", + "c7_5 = Gain([6,7],[8],-1*F) #wie bei c6_5\n", + "c7_7 = StateSpace([9],[10,11],A,B,C2,D,xo) #wie bei c6_7\n", + "c7_8 = Gain([10,11],[9],-F) #wie bei c6_8\n", "\n", - "sc6.Reset();\n", - "out7 = sc6.Run([2 6]);\n", - "plot(out7(1,:),out7(2,:),'.-r','LineWidth',3,out7(1,:),out7(3,:),'b','LineWidth',4);\n", - "legend('discrete out','continuous out')\n", - "grid on" + "c7_3 = ZOH(4,1,Ts2); #wie bei c6_3 nur Ts wird hier zu Ts2 geändert\n", + "c7_6 = ZOH(8,5,Ts2); #wie bei c6_6 nur Ts wird hier zu Ts2 geändert\n", + "\n", + "sc7.AddListComponents(np.array([c7_1,c7_2,c7_3,c7_4,c7_5,c7_6,c7_7,c7_8])) #Alles ohne Ts bleibt gleich\n", + "\n", + "out7 = sc7.Run(np.array([1,2,3,4,5,6]))\n", + "plt.plot(out7[0,:],out7[2,:],'r', out7[0,:],out7[6,:],'b');\n", + "plt.legend(['discrete out','continuous out'])\n", + "plt.grid()\n", + "plt.show()" ] }, { @@ -1752,29 +1732,21 @@ ], "metadata": { "kernelspec": { - "display_name": "Octave", - "language": "octave", - "name": "octave" + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" }, "language_info": { - "file_extension": ".m", - "help_links": [ - { - "text": "GNU Octave", - "url": "https://www.gnu.org/software/octave/support.html" - }, - { - "text": "Octave Kernel", - "url": "https://github.com/Calysto/octave_kernel" - }, - { - "text": "MetaKernel Magics", - "url": "https://metakernel.readthedocs.io/en/latest/source/README.html" - } - ], - "mimetype": "text/x-octave", - "name": "octave", - "version": "4.2.2" + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" } }, "nbformat": 4, diff --git a/notebooks/V09_zustandsrekonstruktion_mittels_beobachter.ipynb b/notebooks/V09_zustandsrekonstruktion_mittels_beobachter.ipynb index 6c85ec6df0129affe22945ee920a122647f4cad9..a8181731661ae76b200dec0b7c78d17207d0a6fd 100644 --- a/notebooks/V09_zustandsrekonstruktion_mittels_beobachter.ipynb +++ b/notebooks/V09_zustandsrekonstruktion_mittels_beobachter.ipynb @@ -8,43 +8,45 @@ ] }, { - "cell_type": "markdown", + "cell_type": "code", + "execution_count": 2, "metadata": {}, + "outputs": [], "source": [ - "## <span style='color:Gray'>Beispiel #1 </span>" + "from systheo2functions import *\n", + "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", - "Für das System:" + "## <span style='color:Gray'>Beispiel #1 </span>" ] }, { - "cell_type": "code", - "execution_count": null, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "pkg load control" + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Für das System:" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, "outputs": [], "source": [ - "A = [-2 1;\n", - " 0 -1];\n", + "A = np.array([[-2,1],\n", + " [0,-1]])\n", " \n", - "B = [1; 1];\n", + "B = np.array([[1],\n", + " [1]])\n", "\n", - "C = [1 0];\n", + "C = np.array([[1,0]])\n", "\n", - "D = 0;" + "D = np.array([0])" ] }, { @@ -57,22 +59,39 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ - "poles = [-10+1j*5 -10-1j*5]\n", - "% po = [-5+1j*5 -5-1j*5] % Beobachterpole" + "poles = [-10+1j*5,-10-1j*5]\n", + "# po = [-5+1j*5 -5-1j*5] % Beobachterpole" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "So:\n", + "[[ 1 0]\n", + " [-2 1]]\n", + "Rang: 2\n" + ] + } + ], "source": [ - "So = [C; C*A]\n", - "rank(So)" + "row1 = C\n", + "row2 = np.matmul(C,A)\n", + "So = np.r_[row1,row2]\n", + "#So = (C )\n", + "# (C*A)\n", + "print(\"So:\\n\"+str(So))\n", + "\n", + "print_rank(So)" ] }, { @@ -85,11 +104,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "G:[[ 17. 106.]]\n" + ] + } + ], "source": [ - "G = place(A',C',poles)" + "G = signal.place_poles(A.T, C.T, poles).gain_matrix\n", + "print(\"G:\"+str(G))" ] }, { @@ -104,21 +132,48 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Ao:\n", + "[[ -19. 1.]\n", + " [-106. -1.]]\n", + "Eigenwerte:\n", + "(-10+5j)\n", + "(-10-5j)\n" + ] + } + ], "source": [ - "Ao = A-G'*C\n", - "eigs(Ao)" + "Ao = A-np.matmul(G.T,C)\n", + "print(\"Ao:\\n\"+str(Ao))\n", + "print_eig(Ao)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 8, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Bo:\n", + "[[ 1. 17.]\n", + " [ 1. 106.]]\n" + ] + } + ], "source": [ - "Bo = [B G']" + "column1 = B\n", + "column2 = G.T\n", + "Bo = np.c_[column1,column2]\n", + "print(\"Bo:\\n\"+str(Bo))" ] }, { @@ -126,50 +181,41 @@ "metadata": {}, "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", - " Veranschaulichung durch Simulink:" + " Veranschaulichung:" ] }, { - "attachments": { - "V9_Update-1.png": { - "image/png": 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" - } - }, "cell_type": "markdown", "metadata": {}, "source": [ - "" + "<img src=\"bilder/v09_beispiel1.png\"/>" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 9, "metadata": {}, "outputs": [], "source": [ - "% Simulink model A\n", - "% Set the Octave Engine to run the simulation\n", - "% Simulation Parameters\n", - "addpath(\"./Octsim\");\n", - "% Start time\n", - "tini = 0;\n", - "% End time\n", - "tfinal = 10;\n", - "% Time Step\n", - "dt = 0.001;\n", - "% Number of data flows in the schematic\n", - "nflows_1 = 12;\n", - "% Initial conditions\n", - "xo_1 = [2; 1];\n", - "xo_2 = [0; 0];\n", + "tini = 0 # Start time\n", + "tfinal = 10 # End time\n", + "dt = 0.001 # Time Step\n", + "nflows_1 = 13 # Number of data flows in the schematic\n", + "\n", + "xo_1 = np.array([[2],\n", + " [1]])\n", + "xo_2 = np.array([[0],\n", + " [0]])\n", "\n", - "% Matrices\n", - "C2 = eye(2);\n", - "D2 = [0;0];\n", - "Do = zeros(2,2);\n", + "#Matrices:\n", + "C2 = np.array([[1,0],\n", + " [0,1]]);\n", + "D2 = np.array([[0],\n", + " [0]]);\n", + "Do = np.array([[0,0],\n", + " [0,0]]);\n", "\n", - "% Instance of the simulation schematic\n", - "sc1 = Schema(tini,tfinal,dt,nflows_1);" + "sc1 = Schema(tini,tfinal,dt,nflows_1) # Instance of the simulation schematic" ] }, { @@ -184,67 +230,110 @@ }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "c1{1} = SquareSignal(1,10,0,1,0.5); %input" - ] - }, - { - "cell_type": "code", - "execution_count": null, + "execution_count": 11, "metadata": {}, "outputs": [], "source": [ - "c1{2} = StateSpace(1,[2 3],A,B,C2,D2,xo_1); % original system\n", + "c1 = SquareSignal(1,10,0,1,0.5) #input\n", "\n", - "c1{3} = StateSpace(1,[4 5],A,B,C2,D2,xo_2); % erroneous system\n", - "c1{4} = StateSpace([1 8],[6 7],Ao,Bo,C2,Do,xo_2); % observer system\n", + "c2 = StateSpace([1],[2,3],A,B,C2,D2,xo_1) #original system\n", + "c3 = StateSpace([1],[4,5],A,B,C2,D2,xo_2) #erroneous system\n", + "c4 = StateSpace([1,8],[6,7],Ao,Bo,C2,Do,xo_2) #observer system\n", + "c5 = Gain([2,3],[8],C)\n", + "c6 = Sum(2,4,9,1,-1)\n", + "c7 = Sum(3,5,10,1,-1)\n", + "c8 = Sum(2,6,11,1,-1)\n", + "c9 = Sum(3,7,12,1,-1)\n", "\n", - "c1{5} = Gain([2 3],8,C);\n", + "sc1.AddListComponents(np.array([c1,c2,c3,c4,c5,c6,c7,c8,c9]))\n", "\n", - "c1{6} = Sum(2,4,9,1,-1);\n", - "c1{7} = Sum(3,5,10,1,-1);\n", - "c1{8} = Sum(2,6,11,1,-1);\n", - "c1{9} = Sum(3,7,12,1,-1);\n", - "sc1.AddListComponents(c1);\n", + "#Run the schematic and plot:\n", + "out1 = sc1.Run(np.array([1,2,3,4,5,6,7,8,9,10,11,12]))\n", "\n", - "% Run the schematic and plot\n", - "out1 = sc1.Run([1:12]);\n", - "time1 = out1(1,:);" + "time1 = out1[0,:]" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 12, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "plot(time1,out1(3,:), time1,out1(4,:));\n", - "legend('State-Space 1, x_{dot}','State-Space 1, y')" + "%matplotlib inline\n", + "plt.plot(time1,out1[2,:], time1,out1[3,:])\n", + "plt.legend(['Signal 2: State-Space x_{dot}','Signal 3: State-Space y'])\n", + "plt.grid()\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 13, + "metadata": { + "scrolled": true, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "plot(time1,out1(10,:),'r',time1,out1(11,:),'b');\n", - "legend('Reale System','System mit falsche Bedingungen vor t0')\n", - "grid on" + "%matplotlib inline\n", + "plt.plot(time1,out1[9,:],'r', time1,out1[10,:],'b')\n", + "plt.legend(['Reales System','System mit falscher Bedingungen vor t0'])\n", + "plt.grid()\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 14, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "plot(time1,out1(12,:),'r',time1,out1(13,:),'b');\n", - "legend('Offene Kreis','System mit Beobachter')\n", - "grid on" + "%matplotlib inline\n", + "plt.plot(time1,out1[11,:],'r', time1,out1[12,:],'b')\n", + "plt.legend(['Offener Kreis','System mit Beobachter'])\n", + "plt.grid()\n", + "plt.show()" ] }, { @@ -282,18 +371,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 15, "metadata": {}, "outputs": [], "source": [ - "A = [-2 1;\n", - " 0 -1];\n", + "A = np.array([[-2,1],\n", + " [0,-1]])\n", " \n", - "B = [0; 1];\n", + "B = np.array([[0],\n", + " [1]])\n", "\n", - "C = [1 0];\n", + "C = np.array([[1,0]])\n", "\n", - "D = 0;" + "D = np.array([0])" ] }, { @@ -306,12 +396,27 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sc:\n", + "[[ 0 1]\n", + " [ 1 -1]]\n", + "Rang: 2\n" + ] + } + ], "source": [ - "Sc = [B A*B]\n", - "rank(Sc)" + "column1 = B\n", + "column2 = np.matmul(A,B)\n", + "Sc = np.c_[column1,column2] #Sc = (B A*B)\n", + "print(\"Sc:\\n\"+str(Sc))\n", + "\n", + "print_rank(Sc)" ] }, { @@ -324,12 +429,27 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "So:\n", + "[[ 1 0]\n", + " [-2 1]]\n", + "Rang: 2\n" + ] + } + ], "source": [ - "So = [C; C*A]\n", - "rank(So)" + "row1 = C\n", + "row2 = np.matmul(C,A)\n", + "So = np.r_[row1,row2]\n", + "print(\"So:\\n\"+str(So))\n", + "\n", + "print_rank(So)" ] }, { @@ -342,12 +462,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 18, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "K:[[34. 7.]]\n" + ] + } + ], "source": [ - "pc = [-5+1j*5 -5-1j*5]\n", - "K = place(A,B,pc)" + "pc = [-5+1j*5,-5-1j*5]\n", + "K = signal.place_poles(A, B, pc).gain_matrix\n", + "print(\"K:\"+str(K))" ] }, { @@ -360,11 +489,11 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": {}, "outputs": [], "source": [ - "csi = 0.8;" + "csi = 0.8" ] }, { @@ -377,11 +506,11 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 20, "metadata": {}, "outputs": [], "source": [ - "omega0 =10;" + "omega0 =10" ] }, { @@ -395,12 +524,21 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 21, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "G:[[13. 85.]]\n" + ] + } + ], "source": [ - "poles = [-csi*omega0+1j*omega0*sqrt(1-csi*csi) -csi*omega0-1j*omega0*sqrt(1-csi*csi)]\n", - "G = place(A',C',poles)" + "poles = [-csi*omega0+1j*omega0*sqrt(1-csi*csi),-csi*omega0-1j*omega0*sqrt(1-csi*csi)]\n", + "G = signal.place_poles(A.T, C.T, poles).gain_matrix\n", + "print(\"G:\"+str(G))" ] }, { @@ -413,21 +551,56 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[-2 1]\n", + " [ 0 -1]]\n", + "[[13.]\n", + " [85.]]\n", + "[[1 0]]\n", + "Ao:\n", + "[[-15. 1.]\n", + " [-85. -1.]]\n", + "Eigenwerte:\n", + "(-8+6j)\n", + "(-8-6j)\n" + ] + } + ], "source": [ - "Ao = A-G'*C\n", - "eigs(Ao)" + "print(A)\n", + "print(G.T)\n", + "print(C)\n", + "Ao = A-np.matmul(G.T,C)\n", + "print(\"Ao:\\n\"+str(Ao))\n", + "print_eig(Ao)" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Bo:\n", + "[[ 0. 13.]\n", + " [ 1. 85.]]\n" + ] + } + ], "source": [ - "Bo = [B G']" + "column1 = B\n", + "column2 = G.T\n", + "Bo = np.c_[column1,column2]\n", + "print(\"Bo:\\n\"+str(Bo))" ] }, { @@ -439,86 +612,121 @@ ] }, { - "attachments": { - "V9_Update-2.png": { - "image/png": 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" - } - }, "cell_type": "markdown", "metadata": {}, "source": [ - "" + "<img src=\"bilder/v09_beispiel2.png\"/>" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 24, + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [] + }, "outputs": [], "source": [ - "% Simulink model A\n", - "% Set the Octave Engine to run the simulation\n", - "% Simulation Parameters\n", - "addpath(\"./Octsim\");\n", - "% Start time\n", - "tini = 0;\n", - "% End time\n", - "tfinal = 5;\n", - "% Time Step\n", - "dt = 0.01;\n", - "% Number of data flows in the schematic\n", - "nflows_2 = 11;\n", - "% Initial conditions\n", - "xo_1 = [2; 1];\n", - "xo_2 = [0; 0];\n", + "tini = 0 # Start time\n", + "tfinal = 5 # End time\n", + "dt = 0.01 # Time Step\n", + "nflows_2 = 12 # Number of data flows in the schematic\n", + "\n", + "xo_1 = np.array([[2],\n", + " [1]])\n", + "xo_2 = np.array([[0],\n", + " [0]])\n", + "\n", + "#Matrices:\n", + "C2 = np.array([[1,0],\n", + " [0,1]]);\n", + "D2 = np.array([[0],\n", + " [0]]);\n", + "Do = np.array([[0,0],\n", + " [0,0]]);\n", + "\n", + "sc2 = Schema(tini,tfinal,dt,nflows_2) # Instance of the simulation schematic\n", "\n", - "% Matrices\n", - "C2 = eye(2);\n", - "D2 = [0;0];\n", - "Do = zeros(2,2);\n", + "c2_1 = StateSpace([3],[1,2],A,B,C2,D2,xo_1)\n", + "c2_2 = Gain([1,2],[3],-1*K)\n", "\n", - "% Instance of the simulation schematic\n", - "sc2 = Schema(tini,tfinal,dt,nflows_2);\n", + "c2_3 = StateSpace([6],[4,5],A,B,C2,D2,xo_1)\n", + "c2_4 = Gain([7,8],[6],-1*K)\n", "\n", - "c2{1} = StateSpace(3,[1 2],A,B,C2,D2,xo_1);\n", - "c2{2} = Gain([1 2],3,-K);\n", + "c2_5 = StateSpace([6,9],[7,8],Ao,Bo,C2,Do,xo_2)\n", + "c2_6 = Gain([4,5],[9],C)\n", "\n", - "c2{3} = StateSpace(6,[4 5],A,B,C2,D2,xo_1);\n", - "c2{4} = Gain([7 8],6,-K);\n", + "#print(Ao)\n", + "#print(Bo)\n", + "#print(C2)\n", + "#print(Do)\n", + "#print(\"xo_2:\")\n", + "#print(xo_2)\n", "\n", - "c2{5} = StateSpace([6 9],[7 8],Ao,Bo,C2,Do,xo_2);\n", - "c2{6} = Gain([4 5],9,C);\n", + "c2_7 = Sum(1,4,10,1,-1)\n", + "c2_8 = Sum(2,5,11,1,-1)\n", "\n", - "c2{7} = Sum(1,4,10,1,-1);\n", - "c2{8} = Sum(2,5,11,1,-1);\n", + "sc2.AddListComponents(np.array([c2_1,c2_2,c2_3,c2_4,c2_5,c2_6,c2_7,c2_8]))\n", "\n", - "sc2.AddListComponents(c2);\n", + "#Run the schematic and plot:\n", + "out2 = sc2.Run(np.array([1,2,3,4,5,6,7,8,9,10,11]))\n", "\n", - "% Run the schematic and plot\n", - "out2 = sc2.Run([1:11]);\n", - "time2 = out2(1,:);" + "time2 = out2[0,:]\n", + "#print(out2[7,:])" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 25, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "plot(time2,out2(2,:),'r',time2,out2(3,:),'b');\n", - "legend('State-Space:1','State-Space:2')\n", - "grid on" + "%matplotlib inline\n", + "plt.plot(time2,out2[1,:],'r', time2,out2[2,:],'b')\n", + "plt.legend(['1','2'])\n", + "plt.grid()\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 26, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "plot(time2,out2(8,:),'r',time2,out2(9,:),'b');\n", - "legend('State-Space 2:1','State-Space 2:2')\n", - "grid on" + "%matplotlib inline\n", + "plt.plot(time2,out2[7,:],time2,out2[8,:])\n", + "plt.legend(['7','8'])\n", + "plt.grid()\n", + "plt.show()" ] }, { @@ -526,80 +734,117 @@ "metadata": {}, "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", - "<b> Aufgabe </b>: Wiederholen Sie nun die Simulation mit $\\omega_0$ = 1, d.h. langsamer!" + " Im Folgenden lässt sich $\\omega_0$ mittels Schieberegler einstellen.<br>\n", + "<b> Aufgabe:</b> Wiederholen Sie nun die Simulation mit $\\omega_0$ = 1, d.h. langsamer!<br>\n", + " Probieren Sie auch gerne andere Werte für $\\omega_0$ aus." ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], + "execution_count": 27, + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "d57c32334f654ebc984b35712dd8db07", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "10d655520a7c45d59592870fbdbefbaf", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(IntSlider(value=1, description='omega', max=20, min=1), Dropdown(description='scope', in…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ - "% Update values with new omega\n", - "omega1 =1;\n", - "poles = [-csi*omega1+1j*omega1*sqrt(1-csi*csi) -csi*omega1-1j*omega1*sqrt(1-csi*csi)];\n", - "G = place(A',C',poles);\n", - "Ao = A-G'*C;\n", - "eigs(Ao);\n", - "Bo = [B G'];\n", + "#Gleiche Simulation mit anderem omega:\n", + "%matplotlib widget\n", + "fig, ax = plt.subplots(figsize=(9, 5))\n", + "ax.set_ylim([-10, 15])\n", + "ax.grid(True)\n", "\n", - "% Start time\n", - "tini = 0;\n", - "% End time\n", - "tfinal = 5;\n", - "% Time Step\n", - "dt = 0.001;\n", - "% Number of data flows in the schematic\n", - "nflows_2 = 11;\n", - "% Initial conditions\n", - "xo_1 = [2; 1];\n", - "xo_2 = [0; 0];\n", + "dic = {\"Regler ohne Beobachter 1&2\":[1,2],\"Abweichung 10&11\":[10,11],\"Beobachter 4&5\":[4,5],\n", + " \"Regler mit Beobachter 7&8\":[7,8]}\n", + "@widgets.interact(omega=(1, 20, 1), scope = [\"Regler ohne Beobachter 1&2\",\"Abweichung 10&11\",\n", + " \"Beobachter 4&5\",\"Regler mit Beobachter 7&8\"])\n", "\n", - "% Matrices\n", - "C2 = eye(2);\n", - "D2 = [0;0];\n", - "Do = zeros(2,2);\n", + "def update(omega = 1, scope=\"Regler mit Beobachter 7&8\"):\n", + " \"\"\"Remove old lines from plot and plot new one\"\"\"\n", + " [l.remove() for l in ax.lines]\n", + " [l.remove() for l in ax.lines]\n", + " omega0 =omega\n", + " poles = [-csi*omega0+1j*omega0*sqrt(1-csi*csi),-csi*omega0-1j*omega0*sqrt(1-csi*csi)]\n", + " G = signal.place_poles(A.T, C.T, poles).gain_matrix\n", + " #print(\"G:\"+str(G))\n", + " Ao = A-np.matmul(G.T,C)\n", + " #print(\"Ao:\\n\"+str(Ao))\n", + " #print_eig(Ao)\n", + " column1 = B\n", + " column2 = G.T\n", + " Bo = np.c_[column1,column2]\n", + " #print(\"Bo:\\n\"+str(Bo))\n", "\n", - "% Instance of the simulation schematic\n", - "sc2 = Schema(tini,tfinal,dt,nflows_2);\n", + " tini = 0 # Start time\n", + " tfinal = 5 # End time\n", + " dt = 0.001 # Time Step\n", + " nflows_2 = 12 # Number of data flows in the schematic\n", "\n", - "c2{1} = StateSpace(3,[1 2],A,B,C2,D2,xo_1);\n", - "c2{2} = Gain([1 2],3,-K);\n", + " xo_1 = np.array([[2],[1]])\n", + " xo_2 = np.array([[0],[0]])\n", "\n", - "c2{3} = StateSpace(6,[4 5],A,B,C2,D2,xo_1);\n", - "c2{4} = Gain([7 8],6,-K);\n", + " #Matrices:\n", + " C2 = np.array([[1,0],\n", + " [0,1]]);\n", + " D2 = np.array([[0],[0]]);\n", + " Do = np.array([[0,0],\n", + " [0,0]]);\n", "\n", - "c2{5} = StateSpace([6 9],[7 8],Ao,Bo,C2,Do,xo_2);\n", - "c2{6} = Gain([4 5],9,C);\n", + " sc2 = Schema(tini,tfinal,dt,nflows_2) # Instance of the simulation schematic\n", "\n", - "c2{7} = Sum(1,4,10,1,-1);\n", - "c2{8} = Sum(2,5,11,1,-1);\n", + " c2_1 = StateSpace([3],[1,2],A,B,C2,D2,xo_1);\n", + " c2_2 = Gain([1,2],[3],-K);\n", "\n", - "sc2.AddListComponents(c2);\n", + " c2_3 = StateSpace([6],[4,5],A,B,C2,D2,xo_1);\n", + " c2_4 = Gain([7,8],[6],-K);\n", "\n", - "% Run the schematic and plot, now having omega:=1\n", - "out2 = sc2.Run([1:11]);\n", - "time2 = out2(1,:);\n", - "plot(time2,out2(8,:),'r',time2,out2(9,:),'b');\n", - "legend('State-Space 2:1','State-Space 2:2')\n", - "grid on" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", - "Differenz der Systeme:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [ - "plot(time2,out2(11,:),'r',time2,out2(12,:),'b');" + " c2_5 = StateSpace([6,9],[7,8],Ao,Bo,C2,Do,xo_2);\n", + " c2_6 = Gain([4,5],[9],C);\n", + "\n", + " c2_7 = Sum(1,4,10,1,-1);\n", + " c2_8 = Sum(2,5,11,1,-1);\n", + "\n", + " sc2.AddListComponents(np.array([c2_1,c2_2,c2_3,c2_4,c2_5,c2_6,c2_7,c2_8]))\n", + "\n", + " #Run the schematic and plot:\n", + " out2 = sc2.Run(np.array([1,2,3,4,5,6,7,8,9,10,11]))\n", + "\n", + " time2 = out2[0,:]\n", + " \n", + " ax.plot(time2,out2[dic[scope][0],:],'r', time2,out2[dic[scope][1],:],'b')\n", + " plt.show()\n", + " \n" ] }, { @@ -619,18 +864,19 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 28, "metadata": {}, "outputs": [], "source": [ - "A = [-2 1;\n", - " 0 -1];\n", + "A = np.array([[-2,1],\n", + " [0,-1]])\n", " \n", - "B = [0; 1];\n", + "B = np.array([[0],\n", + " [1]])\n", "\n", - "C = [1 0];\n", + "C = np.array([[1,0]])\n", "\n", - "D = 0;" + "D = np.array([0])" ] }, { @@ -651,12 +897,27 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 29, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Sc:\n", + "[[ 0 1]\n", + " [ 1 -1]]\n", + "Rang: 2\n" + ] + } + ], "source": [ - "Sc = [B A*B]\n", - "rank(Sc)" + "column1 = B\n", + "column2 = np.matmul(A,B)\n", + "Sc = np.c_[column1,column2] #Sc = (B A*B)\n", + "print(\"Sc:\\n\"+str(Sc))\n", + "\n", + "print_rank(Sc)" ] }, { @@ -669,16 +930,31 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 30, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Ad:\n", + "[[0.98019867 0.00985116]\n", + " [0. 0.99004983]]\n", + "Bd:\n", + "[[4.95029042e-05]\n", + " [9.95016625e-03]]\n" + ] + } + ], "source": [ - "Ts = 0.01;\n", + "Ts = 0.01\n", "\n", - "pc = [-5+1j*5 -5-1j*5];\n", - "pcd = exp(pc.*Ts);\n", - "Ad = expm(A*Ts)\n", - "Bd = (Ad-eye(2))*inv(A)*B" + "pc = np.array([-5+1j*5,-5-1j*5])\n", + "pcd = exp(Ts*pc)\n", + "Ad = linalg.expm(Ts*A)\n", + "print(\"Ad:\\n\"+str(Ad))\n", + "Bd = matmul_loop([Ad-[[1,0],[0,1]],inv(A),B]) #(Ad-Einheitsmatrix)*inv(A)*B\n", + "print(\"Bd:\\n\"+str(Bd))" ] }, { @@ -691,11 +967,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 31, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "K:[[32.4989039 6.89018096]]\n" + ] + } + ], "source": [ - "K = place(Ad,Bd,pcd) " + "K = signal.place_poles(Ad, Bd, pcd).gain_matrix\n", + "print(\"K:\"+str(K))" ] }, { @@ -708,12 +993,27 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 32, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "So:\n", + "[[1. 0. ]\n", + " [0.98019867 0.00985116]]\n", + "Rang: 2\n" + ] + } + ], "source": [ - "So = [C; C*Ad]\n", - "rank(So)" + "row1 = C\n", + "row2 = np.matmul(C,Ad)\n", + "So = np.r_[row1,row2]\n", + "print(\"So:\\n\"+str(So))\n", + "\n", + "print_rank(So)" ] }, { @@ -726,11 +1026,11 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 33, "metadata": {}, "outputs": [], "source": [ - "poles = [0 0];" + "poles = [0,0]" ] }, { @@ -747,84 +1047,105 @@ "source": [ "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", "Beobachterpole:\n", - "<br><span style='color:Gray'>Hinweis</span>: Verwende Funktion <code>acker</code> anstelle von <code>place</code>!" + "<br><span style='color:Gray'>Hinweis</span>: Verwende Funktion <code>control.acker</code> anstelle von <code>signal.place_poles</code>!" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 34, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Gd:[[ 1.97024851 99.50083333]]\n", + "Aod:\n", + "[[-9.90049834e-01 9.85116044e-03]\n", + " [-9.95008333e+01 9.90049834e-01]]\n", + "Eigenwerte:\n", + "0j\n", + "-0j\n", + "Bod:\n", + "[[4.95029042e-05 1.97024851e+00]\n", + " [9.95016625e-03 9.95008333e+01]]\n" + ] + } + ], "source": [ - "Gd = acker(Ad',C',poles) \n", - "\n", - "Aod = Ad-Gd'*C\n", - "eigs(Aod)\n", - "Bod = [Bd Gd'];" + "#Gd = acker(Ad',C',poles)\n", + "Gd = control.acker(Ad.T, C.T, poles)\n", + "print(\"Gd:\"+str(Gd))\n", + " \n", + "Aod = Ad-np.matmul(Gd.T,C)\n", + "print(\"Aod:\\n\"+str(Aod))\n", + "print_eig(Aod)\n", + " \n", + "column1 = Bd\n", + "column2 = Gd.T\n", + "Bod = np.c_[column1,column2]\n", + "print(\"Bod:\\n\"+str(Bod))" ] }, { - "attachments": { - "V9_Update-3.png": { - "image/png": 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" - } - }, "cell_type": "markdown", "metadata": {}, "source": [ - "" + "<img src=\"bilder/v09_beispiel3.png\"/>" ] }, { "cell_type": "code", - "execution_count": null, - "metadata": {}, + "execution_count": 48, + "metadata": { + "jupyter": { + "source_hidden": true + }, + "tags": [] + }, "outputs": [], "source": [ - "% Simulink model A\n", - "% Number of data flows in the schematic\n", - "% Start time\n", - "tini = 0;\n", - "% End time\n", - "tfinal = 3;\n", - "% Time Step\n", - "dt = 0.001;\n", - "% Number of data flows in the schematic\n", - "nflows_3 = 13;\n", - "% Initial conditions\n", - "xo_1 = [2; 1];\n", - "xo_2 = [0; 0];\n", + "tini = 0 # Start time\n", + "tfinal = 3 # End time\n", + "dt = 0.001 # Time Step\n", + "nflows_3 = 14 # Number of data flows in the schematic\n", + "\n", + "xo_1 = np.array([[2],[1]])\n", + "xo_2 = np.array([[0],[0]])\n", + "\n", + "#Matrices:\n", + "C2 = np.array([[1,0],\n", + " [0,1]]);\n", + "D2 = np.array([[0],\n", + " [0]]);\n", + "Do = np.array([[0,0],\n", + " [0,0]]);\n", "\n", - "% Matrices\n", - "C2 = eye(2);\n", - "D2 = [0;0];\n", - "Do = zeros(2,2);\n", + "sc3 = Schema(tini,tfinal,dt,nflows_3) # Instance of the simulation schematic\n", "\n", - "% Instance of the simulation schematic\n", - "sc3 = Schema(tini,tfinal,dt,nflows_3);\n", + "c3_1 = ZOH(4,1,Ts); #ZOH arguments: in_ID,out_ID,T\n", + "c3_2 = StateSpace([1],[2,3],A,B,C2,D2,xo_1); \n", + "c3_3 = Gain([2,3],[4],-K);\n", "\n", - "c3{1} = ZOH(4,1,Ts); %ZOH arguments: in_ID,out_ID,T\n", - "c3{2} = StateSpace(1,[2 3],A,B,C2,D2,xo_1); \n", - "c3{3} = Gain([2 3],4,-K);\n", + "c3_4 = ZOH(11,5,Ts);\n", + "c3_5 = StateSpace([5],[6,7],A,B,C2,D2,xo_1);\n", "\n", - "c3{4} = ZOH(11,5,Ts);\n", - "c3{5} = StateSpace(5,[6 7],A,B,C2,D2,xo_1);\n", + "c3_6 = Sum(2,6,12,1,-1);\n", + "c3_7 = Sum(3,7,13,1,-1);\n", "\n", - "c3{6} = Sum(2,6,12,1,-1);\n", - "c3{7} = Sum(3,7,13,1,-1);\n", + "c3_8 = Gain([6,7],[8],C);\n", "\n", - "c3{8} = Gain([6 7],8,C);\n", + "# Notice, that we introduce the discrete StateSpace Object here: DTStateSpace(in,out,A,B,C,D,xo,Ty)\n", + "c3_9 = DTStateSpace([11,8],[9,10],Aod,Bod,C2,Do,xo_2,Ts);\n", "\n", - "% Notice, that we introduce the discrete StateSpace Object here: DTStateSpace(in,out,A,B,C,D,T,xo)\n", - "c3{9} = DTStateSpace([11 8],[9 10],Aod,Bod,C2,Do,Ts,xo_2);\n", + "c3_10 = Gain([9,10],[11],-K);\n", "\n", - "c3{10} = Gain([9 10],11,-K);\n", + "sc3.AddListComponents(np.array([c3_1,c3_2,c3_3,c3_4,c3_5,c3_6,c3_7,c3_8,c3_9,c3_10]))\n", "\n", - "sc3.AddListComponents(c3);\n", + "#Run the schematic and plot:\n", + "out3 = sc3.Run(np.array([1,2,3,4,5,6,7,8,9,10,11,12,13]))\n", "\n", - "% Run the schematic and plot\n", - "out3 = sc3.Run([1:13]);\n", - "time3 = out3(1,:);" + "time3 = out3[0,:]" ] }, { @@ -836,13 +1157,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 49, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "plot(time3,out3(3,:),'r',time3,out3(4,:),'b');\n", - "legend('State-Space:1','State-Space:2')\n", - "grid on" + "%matplotlib inline\n", + "plt.plot(time3,out3[2,:],'r', time3,out3[3,:],'b')\n", + "plt.legend(['State-Space:1','State-Space:2'])\n", + "plt.grid()\n", + "plt.show()" ] }, { @@ -854,13 +1190,28 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 50, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "plot(time3,out3(7,:),'r',time3,out3(8,:),'b');\n", - "legend('State-Space 1:1','State-Space 1:2')\n", - "grid on" + "%matplotlib inline\n", + "plt.plot(time3,out3[6,:],'r', time3,out3[7,:],'b')\n", + "plt.legend(['State-Space 1:1','State-Space 1:2'])\n", + "plt.grid()\n", + "plt.show()" ] }, { @@ -872,52 +1223,74 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 51, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "plot(time3,out3(13,:),'r',time3,out3(14,:),'b');\n", - "legend('Discrete State-Space:1','Discrete State-Space:2')\n", - "grid on" + "%matplotlib inline\n", + "plt.plot(time3,out3[12,:],'r', time3,out3[13,:],'b')\n", + "plt.legend(['Discrete State-Space:1','Discrete State-Space:2'])\n", + "plt.grid()\n", + "plt.show()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 52, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 432x288 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], "source": [ - "plot(time3,out3(10,:),'r',time3,out3(11,:),'b');\n", - "legend('Discrete State-Space:1','Discrete State-Space:2')\n", - "grid on" + "%matplotlib inline\n", + "plt.plot(time3,out3[9,:],'r', time3,out3[10,:],'b')\n", + "plt.legend(['Discrete State-Space:1','Discrete State-Space:2'])\n", + "plt.grid()\n", + "plt.show()" ] } ], "metadata": { "kernelspec": { - "display_name": "Octave", - "language": "octave", - "name": "octave" + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" }, "language_info": { - "file_extension": ".m", - "help_links": [ - { - "text": "GNU Octave", - "url": "https://www.gnu.org/software/octave/support.html" - }, - { - "text": "Octave Kernel", - "url": "https://github.com/Calysto/octave_kernel" - }, - { - "text": "MetaKernel Magics", - "url": "https://metakernel.readthedocs.io/en/latest/source/README.html" - } - ], - "mimetype": "text/x-octave", - "name": "octave", - "version": "4.2.2" + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" } }, "nbformat": 4, diff --git a/notebooks/V10_kalmanfilter_demonstration.ipynb b/notebooks/V10_kalmanfilter_demonstration.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..5641ad181bbe8cd5d1b9e4e5bff182f34b5927d8 --- /dev/null +++ b/notebooks/V10_kalmanfilter_demonstration.ipynb @@ -0,0 +1,448 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "fifteen-reward", + "metadata": {}, + "source": [ + "# <span style='color:OrangeRed'>V10 - Kalman-Filter Demonstration</span>" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "tough-category", + "metadata": {}, + "outputs": [], + "source": [ + "from systheo2functions import *\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "id": "anonymous-franklin", + "metadata": {}, + "source": [ + "## Das verwendete Kalman-Filter:" + ] + }, + { + "cell_type": "markdown", + "id": "posted-visitor", + "metadata": {}, + "source": [ + "<img src=\"bilder/v10_kalmanfilter.png\"/>" + ] + }, + { + "cell_type": "markdown", + "id": "colored-desert", + "metadata": {}, + "source": [ + "### Ablauf in KalmanFilter([...],[...],N,M,F,G,C,Q,R,xo,Pk,Ts):" + ] + }, + { + "cell_type": "markdown", + "id": "blocked-spanish", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Zustandsvorhersage:<br>\n", + "x = F × x + G × u\n", + "<br><br>\n", + "Messvorhersage:<br>\n", + "z = C × x\n", + "<br><br>\n", + "Innovation:<br>\n", + "v = m - z\n", + "<br><br>\n", + "Kovarianz der Zustandsvorhersage:<br>\n", + "Pk = F × P × F.T + Q\n", + "<br><br>\n", + "Kovarianz der Innovation:<br>\n", + "S = C × Pk × C.T + R\n", + "<br><br>\n", + "Kalman Gain:<br>\n", + "Kk = Pk × C.T × inv(S)\n", + "<br><br>\n", + "Kovarianzkorrektur:<br>\n", + "Pk = (I - (Kk × C)) × Pk\n", + "<br><br>\n", + "Zustandskorrektur:<br>\n", + "x = x + (Kk × v)\n", + "<br><br>\n", + "Ausgabe des Zustandsvektors:<br>\n", + "Ausgabe = x" + ] + }, + { + "cell_type": "markdown", + "id": "following-paragraph", + "metadata": {}, + "source": [ + "### Im Folgenden sind zwei Beispiele gegeben:" + ] + }, + { + "cell_type": "markdown", + "id": "empty-kingston", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Beispiel 1 versucht das Kalman-Filter durch ein möglichst einfaches System zu erklären.<br>\n", + "Beispiel 2 versucht das Kalman-Filter an einem konkreten Problem zu erklären." + ] + }, + { + "cell_type": "markdown", + "id": "earlier-warehouse", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #1 </span>" + ] + }, + { + "cell_type": "markdown", + "id": "ordered-stone", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<img src=\"bilder/v10_regelstrecke.png\"/><br>\n", + "Es ist zu sehen, dass ein Kalman-Filter verwendet wird, um das Messrauschen (w(k)) auszugleichen. Das Ziel ist es, dass die Ausgabe des Kalman-Filters, der Ausgabe des Systems ohne Messrauschen, möglichst nahe kommt.<br>\n", + "Das Messrauschen (w(k)) ist gaußverteilt (mit der Standartabweichung <code>sigma</code>) und wird auf die Ausgabe des Systems (y(k)) addiert.<br><br>\n", + "Das System erhält folgende Eigenschaften:\n", + "<p>A<small>d</small>=1, B<small>d</small>=1, C<small>d</small>=1, \n", + "D<small>d</small>=0, x<small>0</small>=5\n", + "</p><br>\n", + "Daraus folgen einige Parameter für das Kalman-Filter:\n", + "<p><code>F</code>=A<small>d</small>=1<br> <code>G</code>=B<small>d</small>=1<br>\n", + "<code>xo</code>=x<small>0</small>=5 wäre optimal, aber wir gehen hier davon aus, dass uns der Anfangs-Zustand x<small>0</small>=5 nicht bekannt ist und können daher <code>xo</code> frei einstellen.\n", + "</p><br>\n", + "<code>Q</code>,<code>R</code>und<code>Pk</code> können ebenfalls frei eingestellt werden und wirken sich auf das Verhalten des Filters aus.<br><br>\n", + "Während der Simulation wird die Ausgabe des Systems durch u(k) beeinflusst. u(k) ist auch unserem Kalman-Filter bekannt." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "starting-grove", + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "a7bc4b8ace3c4712a622c3241166b2cb", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "application/vnd.jupyter.widget-view+json": { + "model_id": "4a2f1b640ed3495c9099380d69514b75", + "version_major": 2, + "version_minor": 0 + }, + "text/plain": [ + "interactive(children=(FloatSlider(value=0.2, description='sigma', max=2.0, min=0.1), Dropdown(description='u',…" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tini = 0 # Start time\n", + "tfinal = 6 # End time\n", + "dt = 0.01 # Time Step\n", + "nflows = 7 # Number of data flows in the schematic\n", + "Ts = 0.1 # Sampling time for discrete time\n", + "\n", + "\n", + "%matplotlib widget\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "fig.set_dpi(120)\n", + "ax.grid(True)\n", + "\n", + "@widgets.interact(sigma=(0.1, 2, 0.1), u = [\"on\",\"off\"], xo=(-10, 10, 1),\n", + " Q=[1, 0.1, 0.01, 0.001, 1e-4, 1e-5, 1e-6, 1e-7, 1e-8, 1e-9, 1e-10],\n", + " R=(0.01, 1, 0.01), Pk=(0.01, 10, 0.01))\n", + "\n", + "def update(sigma = 0.2, u=\"off\", xo=3, Q=1e-9, R=0.2, Pk=1):\n", + " \"\"\"Remove old lines from plot and plot new one\"\"\"\n", + " [l.remove() for l in ax.lines]\n", + " [l.remove() for l in ax.lines]\n", + " \n", + " sc = Schema(tini,tfinal,dt,nflows) # Instance of the simulation schematic\n", + "\n", + " om = Ts\n", + " F = np.array([[1]])\n", + " G = np.array([[1]])\n", + " C = np.array([[1]])\n", + " Q = np.array([[Q]]) # höhere Werte => stärkere Reaktion auf einzelne Messergebnisse\n", + " R = np.array([[R]]) # höhere Werte => geringere Berücksichtigung der Messung\n", + " xo = np.array([xo])\n", + " Pk = np.array([[Pk]]) # höhere Werte => geringere Berücksichtigung des Ausgangszustandes xo\n", + " \n", + " if u==\"on\":\n", + " c1 = SquareSignal(1,0.0,0.1,0.3,0.8) #input\n", + " else:\n", + " c1 = Constant(1,0)\n", + " c2 = DTStateSpace([1],[2],np.array([[1]]),np.array([[1]]),np.array([[1]]),np.array([[0]]),np.array([5]),0.1)\n", + " #DTStateSpace(inp,out,Ad,Bd,Cd,Dd,xo)\n", + " c3 = Noise(2,3,sigma) # Addierte Gauss-Verteilung mit Standartabweichung sigma, Noise(inp,out,sigma)\n", + " c4 = KalmanFilter([1,3],[4],1,1,F,G,C,Q,R,xo,Pk,Ts) # Kalman-Filter\n", + " \n", + " sc.AddListComponents(np.array([c1,c2,c3,c4]));\n", + " \n", + " #Run the schematic and plot:\n", + " out = sc.Run(np.array([1, 2, 3,4]))\n", + "\n", + "\n", + " ax.plot(out[0,:],out[3,:],'lightblue',out[0,:],out[2,:],'blue',out[0,:],out[4,:],'green')\n", + " ax.legend(['Sensor','System','Ausgabe Kalman-Filter'])\n", + " plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "blind-demographic", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #2 </span>" + ] + }, + { + "cell_type": "markdown", + "id": "alpha-kitchen", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Ein Roboter balanciert auf einem Surfbrett und die Wellen unter dem Brett bewegen sich mit einer uns unbekannten Funktion:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "respective-writer", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 720x480 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "scw = Schema(0,12,0.1,2) # Instance of the simulation schematic\n", + "w1 = UnknownWaveSource(1,0,0.5,1,0) # Wellen-Funktion\n", + "scw.AddListComponents(np.array([w1]));\n", + "outw = scw.Run(np.array([1]))\n", + "\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot(2, 1, 1)\n", + "fig.set_dpi(120)\n", + "ax.plot(outw[0,:],outw[1,:],'blue')\n", + "plt.title('unbekannte Wellen-Funktion')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "trained-bumper", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<img src=\"bilder/v10_roboter.png\"/><br>\n", + "Die Sensoren des Roboters erfassen den Verlauf der Wellen (b.z.w. die Höhe der Wellen), aber leider ist deren Ausgabe ungenau. <br><br>\n", + "Zusätzlich lässt sich der Verlauf der Wellen mathematisch nähern. So könnte man z.B. sagen, dass der Verlauf der Wellen sinus-ähnlich ist. Eine <b> mathematische Näherung entspricht nicht immer ganz der Wirklichkeit </b> und so ist die uns unbekannte Wellenfunktion keine Sinus-Funktion, aber wir hoffen, dass unsere Näherung später gut genug ist, damit sie (zusammen mit der Ausgabe der Sensoren und dem Kalman-Filter) zufriedenstellende Ergebnisse liefert." + ] + }, + { + "cell_type": "markdown", + "id": "numerical-europe", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Die Vorhersage/Näherung wird durch Matrizen und Vektoren ausgedrückt (in diesem Fall mit einer Drehmatrix und einem Vektor).<br><br>\n", + "Zustandsvorhersage: <code>x = F × x + G × u</code> mit <code>F</code> als Zustandsmatrix und <code>x</code> als Zustandsvektor. In diesem Beispiel ist <code>u</code> = 0 und somit ist <code>G × u</code> = 0.\n", + "<br><br>Durch <code>C × x</code> erhalten wir die Messvorhersage (hier <code>x[0]</code>). Die Messvorhersage ist das was wir von den Sensoren als Messung erwarten, also hier die momentane Höhe der Wellen." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "radio-swing", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 720x480 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "om = 0.1\n", + "\n", + "F = np.array([[cos(om),sin(om)],\n", + " [-sin(om),cos(om)]])\n", + "x = np.array([0,0.5])\n", + "\n", + "C=np.array([1,0])\n", + "\n", + "y = [dot(C,x)]\n", + "\n", + "# Zustandsvorhersage:\n", + "# x^ = F*x + G*u\n", + "# Hier mit G*u=0\n", + "\n", + "# Messvorhersage:\n", + "# z = C*x^\n", + "\n", + "for i in range(0,119):\n", + " x = (dot(F,x)) # Zustandsvorhersage\n", + " z = dot(C,x) # Messvorhersage (hier z = dot(C,x) = x[0])\n", + " y.append(z)\n", + "\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "fig.set_dpi(120)\n", + "ax.plot(np.arange(0.0, 120*0.1, 0.1),y,'darkblue',outw[0,:],outw[1,:],'blue')\n", + "ax.grid()\n", + "ax.legend(['Sinus-Funktion (Vorhersage)','Wellen-Funktion'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "administrative-communist", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Das Kalman-Filter hilft uns nun unsere Vorhersage und die Ausgabe der Sensoren so zu kombinieren, dass der Verlauf der Wellen möglichst gut beschrieben werden kann, obwohl unser mathematisches Modell und die Sensoren des Roboters die Wirklichkeit nicht perfekt beschreiben. Wir übergeben unsere Vorhersage (<code>F</code>, <code>C</code> und <code>xo</code> als Anfangs-Zustand) an das Kalman-Filter, welches zusätzlich mit den Daten der Sensoren gefüttert wird.<br><br>\n", + "Andere Matrizen, die an das Kalman-Filter übergeben werden (<code>Q</code>,<code>R</code>und<code>Pk</code>), beeinflussen wie stark sich die mathematische Vorhersage und die Messung auf die Ausgabe des Filters auswirken." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "chief-cemetery", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<Figure size 720x480 with 1 Axes>" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "tini = 0 # Start time\n", + "tfinal = 25 # End time\n", + "dt = 0.01 # Time Step\n", + "nflows = 7 # Number of data flows in the schematic\n", + "Ts = 0.1 # Sampling time for discrete time\n", + "\n", + "sc = Schema(tini,tfinal,dt,nflows) # Instance of the simulation schematic\n", + "\n", + "om = Ts\n", + "F = np.array([[cos(om),sin(om)],\n", + " [-sin(om),cos(om)]])\n", + "G = np.array([[0,0],\n", + " [0,0]])\n", + "C = np.array([[1,0],\n", + " [0,0]]) # hier 2x2, aber erfüllt die gleiche Aufgabe wie C im oberen Code-Block\n", + "Q = np.array([[3.25e-06, 6.50e-05],\n", + " [6.50e-05, 1.30e-03]]) # höhere Werte => stärkere Reaktion auf einzelne Messergebnisse\n", + "R = np.array([[0.01,0],\n", + " [0,0.01]]) # höhere Werte => geringere Berücksichtigung der Messung\n", + "xo = np.array([0,0.5])\n", + "Pk = np.array([[100,0],\n", + " [0,100]]) # höhere Werte => geringere Berücksichtigung des Ausgangszustandes xo\n", + "\n", + "c1 = UnknownWaveSource(1,0,0.5,1,0) # Wellen-Funktion\n", + "c2 = Noise(1,2,0.08) # Ausgabe Sensor\n", + "c3 = KalmanFilter([2],[3],0,1,F,G,C,Q,R,xo,Pk,Ts) # Kalman-Filter\n", + "\n", + "\n", + "\n", + "sc.AddListComponents(np.array([c1,c2,c3]));\n", + "\n", + "#Run the schematic and plot:\n", + "out = sc.Run(np.array([1, 2, 3]))\n", + "\n", + "fig = plt.figure()\n", + "ax = fig.add_subplot(1, 1, 1)\n", + "fig.set_dpi(120)\n", + "ax.plot(out[0,:],out[2,:],'lightblue',out[0,:],out[1,:],'blue',out[0,:],out[3,:],'green')\n", + "ax.grid()\n", + "ax.legend(['Sensor','Original','Ausgabe Kalman-Filter'])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "brief-egypt", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Es ist zu sehen, dass das Kalman-Filter es schafft, aus unserer mathematischen Vorhersage und den Daten der Sensoren, eine Ausgabe zu erzeugen, welche den Verlauf der Wellen nahekommt. Dies kann nun genutzt werden, um den Roboter möglichst gut zu balancieren." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.6" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/notebooks/Octsim/@ACCurrentSource/ACCurrentSource.m b/notebooks/alt/Octsim/@ACCurrentSource/ACCurrentSource.m similarity index 100% rename from notebooks/Octsim/@ACCurrentSource/ACCurrentSource.m rename to notebooks/alt/Octsim/@ACCurrentSource/ACCurrentSource.m diff --git a/notebooks/Octsim/@Block/Block.m b/notebooks/alt/Octsim/@Block/Block.m similarity index 100% rename from notebooks/Octsim/@Block/Block.m rename to notebooks/alt/Octsim/@Block/Block.m diff --git 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{}, + "source": [ + "## <span style='color:Gray'>Beispiel #1 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "\n", + "<b>Wie kann sich die Abtastfrequenz auf eine Zahlenfolge auswirken?</b>\n", + "\n", + "- Wir nehmen folgende Abtastfrequenz: $f_{a}=10.000 Hz$\n", + "- Hier gilt: $T=\\frac{1}{f_{a}}$ , $K_{max}=20.000$ , $k=[1...K_{max}]$ , $t=Tk$.\n", + "- Wähle einen Ton mit 440 Hz. Es gilt:$\\omega=2\\pi440$\n", + "- Die Zahlenfolge wird definiert mit:$y=sin(\\omega.t)$\n", + "\n", + "<b> Codes: </b>\n", + " <br><br>\n", + "Folgender Matlab Befehl erzeugt die Wiedergabe des Tons <code>y</code> mit der Frequenz <code>fa</code>:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "% Abstast Frequenz\n", + "fa = 10000;\n", + "T = 1/fa;\n", + "\n", + "maxk = 20000;\n", + "k=1:maxk;\n", + "t=k.*T;\n", + "\n", + "% A Tone 440 Hz\n", + "om = 2*pi*440;\n", + "y = sin(om*t);" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "soundsc(y,fa)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + " Ändern Sie nun die Abtastfrequenz wie folgt:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "soundsc(y,fa/2)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Der Ton wurde <span style='color:red'> fehlerhaft </span> übersetzt und weicht von dem Originalton ab!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #2 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<b> Abtastung und Quantisierung</b>\n", + "\n", + " - Die Frequenzen für das Signal 1 und 2 werden gewählt: $\\omega_{1}=1$, $\\omega_{2}=1+2\\pi$\n", + "\n", + " - Die Abtastkreisfrequenz und Abtastzeit entsprechen:$\\omega_{T}=2\\pi$, $T=\\frac{2\\pi}{\\omega_T}$\n", + " \n", + " - Des Weiteren wird für die Folge bestimmt:$K_{max}=200$, $k=[1...K_{max}]$ , $t=Tk$.\n", + "\n", + "Im Folgenden erzeugen wir zwei abgetastete Signale <code>y1</code> und <code>y2</code>:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "% Frequenz Signal 1\n", + "om1 = 1;\n", + "\n", + "% Frequenz Signal 2\n", + "om2 = 1+2*pi;\n", + "\n", + "% Abtast Frequenz\n", + "om_T = 2*pi;\n", + "\n", + "% Abtast Zeit\n", + "T = 2*pi/om_T;\n", + "\n", + "maxk = 200;\n", + "k=1:maxk;\n", + "t=k.*T;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Das Ergebnis kann mit folgendem Matlab Befehl geplottet werden:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "%Signal 1\n", + "y1 = sin(om1*k*T);\n", + "\n", + "%Signal 2\n", + "y2 = sin(om2*k*T);\n", + "\n", + "plot(t,y1,t,y2)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Durch Abtastung erhält man nur eine unvollständige Information über das betrachtete\n", + "Signal. Es gibt sehr viele Funktionen die durch die Abtastwerte verlaufen können.\n", + " <br>\n", + "\n", + "<span style='color:Gray'>Beispiel </span> : Es werden zwei sinusförmige Signale betrachtet:\n", + "<br>\n", + " $y_1(t)=sin(\\omega_1t)$ , $y_2(t)=sin(\\omega_2t)$\n", + "\n", + "die auf die Abtastfolgen führen:\n", + "<br> $y_1(k)=sin(k\\omega_1t)$ , $y_2(k)=sin(k\\omega_2t)$\n", + "\n", + "Die Abtastwerte für beide Funktionen sind an allen Abtastpunkten gleich wenn\n", + "$sin(k\\omega_1T)=sin(k\\omega_2T)$ \n", + "$(k=0, 1,...)$ gilt, was in\n", + "$\\omega_1=\\omega_2+l\\frac{2\\pi}{kT}$\n", + "umgeformt werden kann." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + " \n", + "- $\\omega_1=\\omega_2+l\\frac{2\\pi}{kT}$ \n", + "($l$ ganzzahlig)\n", + "<br><br>\n", + "- $\\omega_1=\\omega_2+\\omega{T}$ \n", + "($ \\omega_T$ Abtastkreisfrequenz)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Erfüllen zwei Frequenzen die obere Beziehung, so können die von der Sinusschwingung\n", + "mit der Kreisfrequenz $\\omega_1$ erzeugten Abtastwerte auch durch eine Sinusschwingung mit der\n", + "Kreisfrequenz $\\omega_2$ erzeugt werden.\n", + "\n", + "<span style='color:OrangeRed'>Das heißt Signale mit diesen beiden Frequenzen können hinter dem Abtaster nicht mehr\n", + "unterschieden werden! </span>\n" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Octave", + "language": "octave", + "name": "octave" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.9" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/notebooks/alt/V02_die_z-transformation.ipynb b/notebooks/alt/V02_die_z-transformation.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..6476315785b86e7cb57c0bf972bcc0ef54c30ea1 --- /dev/null +++ b/notebooks/alt/V02_die_z-transformation.ipynb @@ -0,0 +1,568 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# <span style='color:OrangeRed'>V2 - Die z-Transformation</span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #1 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Gegeben ist die Funktion im Zähler mit: $8z^{-1}$\n", + "\n", + "Des Weiteren ist die Nennerfunktion gegeben mit:$1-3z^{-1}+2z^{-2}$\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "N = [8 0]\n", + "D = [1 -3 2]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Da <code>N</code> und <code>D</code> Vektorpolynome sind , entspricht eine Entfaltung(.eng.: deconvolution) einer einfachen\n", + "Division. Die Matlab Funktion hierfür lautet:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "[fo R] = deconv(N,D)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Bei erstmaliger Anwendung der Funktion erhalten wir den ersten Koeffizienten der Folge <code>fo</code> und den\n", + "Rest ( eng.: remainder) <code>R</code>.\n", + "Der Rest <code>R</code> wird mit $z^{-1}$ multipliziert und weiter dividiert" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "R = conv(R,[1 0])\n", + "[f2 R] = deconv(R,D)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "R = conv(R,[1 0])\n", + "[f3 R] = deconv(R,D)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Die Potenzreihenentwicklung\n", + "\n", + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + " <br><br> \n", + "<b> Mathematische Berechnungen: </b>\n", + " <br><br>\n", + "Es ist $f(k)$ für $k=0, 1, 2,...$ zu bestimmen, wenn\n", + "\n", + "$F_z(z)= \\frac{8z^{-1}}{(z-1)(z-2)}$\n", + "egeben ist.\n", + "\n", + " <span style='color:OrangeRed'> Lösung:</span>\n", + "\n", + "Durch Umschreiben folgt:\n", + "\n", + "$F_z(z)= \\frac{8z^{-1}}{1-3z^{-1}+2z^{-2}}$\n", + "\n", + "\n", + "Durch Division erhält man:\n", + "\n", + "$F_z(z)=8z^{-1}+24z^{-2}+56z^{-3}+120z^{-4}+...$\n", + "\n", + "Aus dieser Beziehung können direkt die Werte der Zahlenfolge $f(k)$ abgelesen werden:\n", + "\n", + "$f(0)=0$, $f(1)=8$, $f(2)=24$, $f(3)=56$, $f(4)=120$,..." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #2 </span>" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "N = [8 2 3 2 1];\n", + "D = [1 0 0 0 0];" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "[fo R] = deconv(N,D)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "R = conv(R,[1 0])\n", + "[f1 R] = deconv(R,D)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "R = conv(R,[1 0])\n", + "[f2 R] = deconv(R,D)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "R = conv(R,[1 0])\n", + "[f3 R] = deconv(R,D)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "R = conv(R,[1 0])\n", + "[f4 R] = deconv(R,D)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "R = conv(R,[1 0])\n", + "[f5 R] = deconv(R,D)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\"> \n", + " \n", + "- Die Koeffizienten der Folge <code>f</code> entsprechen den Elementen des Zählervektors <code>N</code>.\n", + " \n", + "- <code>R</code> wird lediglich = $ 0$.\n", + "\n", + "- Gezeigt wurde ein <span style='color:OrangeRed'>„Finite Impulse Response“ </span>(kurz: <span style='color:OrangeRed'>FIR </span>) Filter." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #3 </span>\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Es gelten weiterhin die Werte aus dem <span style='color:Gray'>Beispiel #1 </span>:\n", + "\n", + "$num$=$8z^{-1}$\n", + "\n", + "$den$=$1-3z^{-1}+2z^{-2}$\n", + "\n", + "Wir bestimmen außerdem die Anzahl der Abtastpunkte:\n", + "\n", + "$npoint$ = $20$\n", + "\n", + "Wie zuvor, wird wiederholt die Entfaltung, also Division durchgeführt. Der Code wird in\n", + "einer Funktion „ longdiv “ zusammengefasst." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "function y = longdiv(num,den,npoint)\n", + "[y(1) R] = deconv(num,den);\n", + "\n", + "for i=2:npoint\n", + " num = conv(R,[1 0]);\n", + " [f R] = deconv(num,den);\n", + " y(i) = f(length(f));\n", + "end\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "num = [8 0];\n", + "den = [1 -3 2];\n", + "npoint = 20;\n", + "\n", + "y = longdiv(num, den, npoint);\n", + "plot(y)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Das System ist instabil." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #4 </span>" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "pkg load control\n", + "\n", + "Ts = 0.1;\n", + "p = -1;\n", + "npoint = 20;\n", + "\n", + "y1 = longdiv([1 0],[1 -exp(Ts*p)],npoint);\n", + "t =(1:npoint)*Ts-Ts;" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "yc = impulse(tf(1,[1 1]),t);\n", + "plot(t,yc,'r',t,y1,'*')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "yh = longdiv(1-exp(Ts*p),[1 -exp(Ts*p)],npoint);\n", + "plot(t,yh,'+')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #5 </span>" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "function [G Ph] = BodeZOH(Ts,ommax,dom)\n", + "\n", + "k=0;\n", + "kmax = round(ommax/dom);\n", + "\n", + "for k=1:kmax\n", + " om(k) = k*dom;\n", + " Renum = 1 -cos(-om(k)*Ts);\n", + " Imnum = -sin(-om(k)*Ts);\n", + " Gnum = sqrt(Renum*Renum+Imnum*Imnum);\n", + " G(k) = Gnum/(om(k)*Ts);\n", + " Ph(k) = atan2(Imnum,Renum)-pi/2;\n", + "end\n", + "end\n", + "\n", + "Ts = 0.1;\n", + "ommax = 100;\n", + "dom = 0.1;\n", + "om=[0.1:0.1:100];\n", + "\n", + "[G Ph] = BodeZOH(Ts,ommax,dom);\n", + "\n", + "\n", + "subplot(2,1,1), semilogx(om,20*log10(G));\n", + "subplot(2,1,2), semilogx(om,Ph*90/pi);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Die Amplitude ist im z Bereich kleiner als 20dB." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #6 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + " \n", + "- Wir stellen drei Verfahren vor, wie in Matlab die Transformation von kontinuierlichen Systemen zu diskreten Systemen erfolgen kann.\n", + "- Dabei wird die Matlabfunktion<code>c2d</code> verwendet\n", + "- Gegeben sei das System:\n", + "\n", + " $G(s)=\\frac{1}{s+1}$ und $T_s=0,1$" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "pkg load control" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "disp('Abtastzeit')\n", + "Ts = 0.1\n", + "\n", + "disp('Kontinuierliche Systeme')\n", + "G = tf(1,[1 1])\n", + "\n", + "disp('Beispiel 1: ZOH')\n", + "Gh = c2d(G,Ts,'zoh')\n", + "\n", + "disp('Beispiel 2: Impulse') \n", + "Gz = c2d(G,Ts,'impulse')\n", + "\n", + "disp('Bespiel 3: Verfahren G(s)/s')\n", + "Gi = tf([1],[1 0])\n", + "Gs = G*Gi\n", + "Gsz = c2d(Gs,Ts,'impulse')\n", + "Gh = tf([1 -1], [1 0],Ts)\n", + "Gf = Gh*Gsz/Ts;\n", + "minreal(Gf)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "% Set the Octave Engine to run the simulatio\n", + "% Simulation Parameters\n", + "pkg load control\n", + "addpath(\"./Octsim\");\n", + "% Start time\n", + "tini = 0;\n", + "% End time\n", + "tfinal = 5;\n", + "% Time Step\n", + "dt = 0.001;\n", + "% Number of data flows in the schematic\n", + "nflows = 5;\n", + "% Sampling time for discrete time\n", + "Ts = 0.1;\n", + "\n", + "% Instance of the simulation schematic\n", + "sc = Schema(tini,tfinal,dt,nflows);\n", + "\n", + "\n", + "% List of components\n", + "c{1} = SinusoidalSignalSource(1,1,2*pi,0);\n", + "c{2} = TransferFunction(1,2,1,[1,1]); %G(s)\n", + "c{3} = ZOH(1,3,Ts);\n", + "c{4} = TransferFunction(3,4,1,[1,1]); %Example 1 - ZOH at the input\n", + "c{5} = DTTransferFunction(1,5,[0.09516],[1 -exp(-0.1)],Ts); %Example 2\n", + "c{6} = DTTransferFunction(1,6,[0.1 0],[1 -exp(-0.1)],Ts) ;%Example 3\n", + "\n", + "\n", + "sc.AddListComponents(c);\n", + "\n", + "% Run the schematic and plot\n", + "out = sc.Run([ 2 3 4 5 6]);\n", + "%plot(out(1,:),out(2,:),out(1,:),out(3,:),out(1,:),out(4,:));\n", + "plot(out(1,:),out(2,:),out(1,:),out(4,:),out(1,:),out(5,:), out(1,:),out(6,:));" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #7 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Gegeben ist : $G(z)=\\frac{z}{z-e^{-\\tau}}$, und $U(z)=\\frac{z}{z-1}$ mit $\\tau=0,1$\n", + "\n", + "Und nehmen wir an: $Y(z)=G(z)U(z)$\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "pkg load control" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Ts = 0.1;\n", + "Gz = tf([1 0],[1 -exp(-0.1)],Ts);\n", + "%Impuls: longdiv(num,den,100)\n", + "y1=longdiv(cell2mat(Gz.num),cell2mat(Gz.den),100);\n", + "plot(y1);" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Uz = tf([1 0],[1 -1],Ts);\n", + "Yz = Gz*Uz;\n", + "y2=longdiv(cell2mat(Yz.num),cell2mat(Yz.den),100);\n", + "plot(y2);\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Die Übertragungsfunktion lautet stattdessen:\n", + "<br><br>\n", + "$G(z)$=$\\frac{z(z-e^{-\\tau})-(z-1)}{(z-1)(z-e^{-\\tau})}$" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Gz2 = tf([1-exp(-0.1) 0],[1 -1-exp(-0.1) exp(-0.1)],Ts);\n", + "y3=longdiv(cell2mat(Gz2.num),cell2mat(Gz2.den),100);\n", + "plot(y3);" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Octave", + "language": "octave", + "name": "octave" + }, + "language_info": { + "file_extension": ".m", + "help_links": [ + { + "text": "GNU Octave", + "url": "https://www.gnu.org/software/octave/support.html" + }, + { + "text": "Octave Kernel", + "url": "https://github.com/Calysto/octave_kernel" + }, + { + "text": "MetaKernel Magics", + "url": "https://metakernel.readthedocs.io/en/latest/source/README.html" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "4.2.2" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/notebooks/alt/V04_regelung_diskreter_systeme.ipynb b/notebooks/alt/V04_regelung_diskreter_systeme.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..17251b6cd3c66cb720974ae2f606bc1a0de00ccf --- /dev/null +++ b/notebooks/alt/V04_regelung_diskreter_systeme.ipynb @@ -0,0 +1,815 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# <span style='color:OrangeRed'>V4 - Regelalgorithmen für die digitale Regelung</span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #1 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<b> Reglerauslegung im Frequenzbereich - Zeitkontinuierlicher PID </b>\n", + "\n", + "Gegeben ist die Regelstrecke:\n", + " <br><br>\n", + " $G_S(s)= \\frac{p_1p_2}{s^{2}-(p_1+p_2)s+p_1p_2}$\n", + "\n", + "<b> Codes: </b>\n", + "<br><br>\n", + "In Matlab definieren wir:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "pkg load control" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "p1 = -5;\n", + "p2 = -8;\n", + "\n", + "Num = [p1*p2]\n", + "Den = [1 -(p1+p2) p1*p2]\n", + "\n", + "Gs = tf(Num,Den)\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Wir wählen für die Bandbreite $\\omega_0=20$ rad /s. \n", + "\n", + "Die Parameter des <span style='color:goldenrod'> PID Reglers </span> lassen sich\n", + "wie folgt berechnen:\n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "% PID \n", + "omo = 20\n", + "\n", + "Kd = omo/(p1*p2)\n", + "Kp = Kd*(-(p1+p2))\n", + "Ki = Kd*p1*p2\n", + "\n", + "Gr = tf([Kd Kp Ki],[1 0]);" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "bode(Gs)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Das Bodediagramm beschreibt ein Verzögerungselement zweiter Ordnung (PT2). Der Phasenwinkel\n", + "verläuft von 0 bis -180 Grad. Die Regelstrecke ist stabil." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Go = Gs*Gr\n", + "\n", + "bode(Go)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Der Phasenwinkel bleibt konstant und beträgt -90° (der offene Regelkreis weist integrierendes Verhalten auf).\n", + "Die Phasenreserve ist 90°. Der geschlossene Regekreis hat somit ein stabiles und sehr robustes Verhalten." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #2 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + " <b>Reglerauslegung im Frequenzbereich Zeitkontinuierlicher PI</b>\n", + " <br><br>\n", + "In diesem Beispiel wird anstelle eines PID Reglers, ein PI Regler verwendet. Es wird\n", + "weiterhin eine Regelstrecke mit zwei Polstellen betrachtet. Wir stellen ein mögliches\n", + "Verfahren vor, einen PI Regler auszulegen.\n", + "<br><br>\n", + "Ausgangspunkt: Wir geben die Bandbreite $\\omega_0$ und die gewünschte Phasenreserve $\\varphi_m$\n", + "vor.\n", + "<br><br>\n", + "Gesucht wird der Regler in der Form:\n", + "<br>\n", + "$R(s) = K_P + \\frac{K_I}{s}$\n", + " <br><br>\n", + "Verfahren: Bei der Bandbreite $\\omega_0$ soll die Phasenreserve $\\varphi_m$ sein. Die Bandbreite ist als\n", + "Durchtrittsfrequenz zu verstehen. Die Durchtrittsfrequenz ist als die Frequenz definiert,\n", + "bei der für den Betrag des offenen Regelkreises gilt (mehr dazu in Systemtheorie I):\n", + "$|G_o(j\\omega_0)|$ = 1" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Für den offenen Regelkreis gilt:\n", + "<br><br>\n", + "$|R(j\\omega_0)(G(j\\omega_0)| = 1e^{j(-\\pi +\\varphi_m)}$\n", + "<br><br> \n", + "Einsetzen des Frequenzgangs für den PI Regler:\n", + "<br><br>\n", + "$(K_P + \\frac{K_I}{j\\omega_0})|G(j\\omega_0)|e^{j\\varphi_G} = e^{j(-\\pi +\\varphi_m)}$\n", + "<br><br>\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Für den PI Regler gilt dann:\n", + "<br><br>\n", + "\n", + "$(K_P + \\frac{K_I}{j\\omega_0})$ = $\\frac{e^{j(-\\pi +\\varphi_m - \\varphi_G)}}{|G(j\\omega_0)|}$\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Aus dem Koeffizientenvergleich folgen die Parameter und :\n", + "<br><br>\n", + "\n", + "$K_P$=$\\frac{cos(-\\phi + \\varphi_m -\\varphi_G)}{|G(j\\omega_0)|}$\n", + "<br><br>\n", + "$K_I$=$\\frac{-\\omega_0sin(-\\phi + \\varphi_m -\\varphi_G)\\omega_0}{|G(j\\omega_0)|}$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "In Matlab definieren wir zunächst die Regelstrecke (Definition bleibt gleich)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "p1 = -5\n", + "p2 = -8;\n", + "\n", + "Num = [p1*p2]\n", + "Den = [1 -(p1+p2) p1*p2]\n", + "\n", + "Gs = tf(Num,Den)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Wir wählen für die Bandbreite $\\omega_0=20$ rad /s . Die Parameter des <span style='color:goldenrod'> PI Reglers </span> lassen sich\n", + "wie folgt bestimmen:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "% PID \n", + "omo = 10\n", + "Fi = 40*pi/180\n", + "\n", + "[Go Fo] = bode(Gs,omo)\n", + "Fo = Fo*pi/180;\n", + "\n", + "Kd = 0;\n", + "Kp = cos(-pi+Fi-Fo)/Go\n", + "Ki = -sin(-pi+Fi-Fo)*omo/Go\n", + "\n", + "\n", + "Gr = tf([Kd Kp Ki],[1 0]);\n", + "\n", + "Go = Gs*Gr\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "bode(Gs)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Das Bodediagramm beschreibt ein Verzögerungselement zweiter Ordnung. Der Phasenwinkel verläuft\n", + "von 0 bis -180 Grad. Die Regelstrecke ist stabil." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "bode(Go)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "nyquist(Go)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "margin(Go)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Es liegt eine Phasenreserve von 40 Grad bei der Frequenz $\\omega_0=20$ rad/s vor." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #3 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + " <b>Reglerauslegung im Frequenzbereich - Zeitdiskreter PI</b>\n", + "<br><br>\n", + "Es stellt sich nun die Frage, ob wir das Verfahren aus dem zeitkontinuierlichen Fall auch\n", + "im zeitdiskreten Bereich nutzen können?\n", + "<br><br>\n", + "Betrachtet wird wiederum die Regelstrecke:\n", + "<br><br>\n", + "$G_S(s)= \\frac{p_1p_2}{s^{2}-(p_1+p_2)s+p_1p_2}$\n", + "<br><br>\n", + "<b> Codes: </b>\n", + "<br><br>\n", + "In Matlab definieren wir:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "p1 = -5;\n", + "p2 = -8;\n", + "\n", + "Num = [p1*p2]\n", + "Den = [1 -(p1+p2) p1*p2]\n", + "\n", + "Gs = tf(Num,Den)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Die Regelstrecke muss zunächst diskretisiert werden. Dafür verwenden wir in Matlab\n", + "folgende Befehle:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Ts = 0.1;\n", + "Gsz = c2d(Gs,Ts,'zoh');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Für den zeitdiskreten Regler verwenden wir zunächst die gleichen Parameter, die wir für\n", + "den zeitkontinuierlichen PI Regler bestimmen haben.\n", + "<br><br>\n", + "Für den zeitkontinuierlichen Fall wurden folgende Parameter bestimmt:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "% PID \n", + "omo = 10\n", + "Fi = 46*pi/180\n", + "\n", + "[Go Fo] = bode(Gs,omo)\n", + "Fo = Fo*pi/180;\n", + "\n", + "Kd = 0;\n", + "Kp = cos(-pi+Fi-Fo)/Go\n", + "Ki = -sin(-pi+Fi-Fo)*omo/Go\n", + "\n", + "\n", + "Gr = tf([Kd Kp Ki],[1 0]);\n", + "\n", + "Go = Gs*Gr" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "bode(Go)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "nyquist(Go)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "margin(Go)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Für den<span style='color:goldenrod'> zeitdiskreten Regler </span> verwenden wir zunächst die gleichen Parameter, die wir für\n", + "den <span style='color:goldenrod'> zeitkontinuierlichen PI Regler </span> bestimmen haben." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Kr = Kp\n", + "Ti = Kr/Ki\n", + "\n", + "Zn = 1/(1+Ts/Ti)\n", + "\n", + "Numrz = [Kr/Zn -Kr]\n", + "Denrz = [1 -1]\n", + "\n", + "Grz= tf(Numrz,Denrz,Ts)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Nun wird der zeitdiskrete offene Regelkreis im Frequenzbereich analysiert." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Goz = Gsz*Grz\n", + "margin(Goz)\n", + "\n", + "[Gzo Fzo] = bode(Goz,omo)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Wenn wir die Parameter des zeitkontinuierlichen Reglers übernehmen, beträgt die\n", + "Phasenreserve des zeitdiskreten Regelkreises 18 Grad (180°-162°=18°) anstatt der\n", + "gewünschten 40 Grad.\n", + "<br><br>\n", + "Durch die Diskretisierung wird die Phasenreserve kleiner als im zeitkontinuierlichen\n", + "Bereich\n", + "<br><br>\n", + "Unter bestimmten Bedingungen kann der Phasenverlust näherungsweise ausgerechnet\n", + "werden." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Der Phasenverlust beträgt im zeitdiskreten Fall:\n", + "<br><br>\n", + "$\\Delta\\varphi = \\frac{\\omega_0T_s}{2}$\n", + " <br><br>\n", + "\n", + "In unserem Beispiel wäre der Phasenverlust:\n", + "<br><br>\n", + "$\\Delta\\varphi =\\frac{10rad/s 0.1s}{2} \\frac{180}{\\pi}= 28,6479$\n", + "<br><br>\n", + "Damit der Phasenverlust bei derselben Bandbreite nicht zu groß wird , müssen wir die\n", + "Abtastzeit verkleinern . Wenn wir als Abtastzeit$T_2 = 0.02s$ wählen:\n", + " <br><br>\n", + "$\\Delta\\varphi =\\frac{10rad/s 0.1s}{2} \\frac{180}{\\pi} = 5,7296$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "\n", + "<span style='color:orange'> Vorgehen </span>: Wir möchten, dass der zeitdiskrete Regelkreis ebenfalls eine Phasenreserve\n", + "von 40 Grad aufweist.\n", + "<br><br>\n", + "Wir berechnen $K_P$ und $K_I$ für den zeitkontinuierlichen Fall. Anstatt$K_P$ und $K_I$ für eine\n", + "Phasenreserve von 40 Grad zu bestimmen, berechnen wir diese Parameter nun für eine\n", + "Phasenreserve von $40 + \\Delta\\phi$ .\n", + "<br><br>\n", + "Durch die Diskretisierung entsteht ein Phasenverlust von genau $\\Delta\\phi$ .\n", + "<br><br>\n", + "Schlussendlich erhält man einen zeitdiskreten Regler, der sicherstellt, dass der zeitdiskrete\n", + "Regelkreis eine Phasenreserve von 40 Grad aufweist (wie gewünscht)!\n", + "<br><br>\n", + "<span style='color:cyan'> Vorteil </span> dieses Verfahren: Bei ausreichend kleiner Abtastzeit kann der Reglerentwurf wie\n", + "im zeitkontinuierlichen Fall durchgeführt werden und der resultierende Regler als\n", + "zeitdiskreter Regler verwendet werden." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "\n", + "In Matlab wählen wir zunächst anstatt der Abtastzeit 0.1s die Abtastzeit 0.02s aus. Damit\n", + "wird sichergestellt, dass der Phasenverlust zwischen dem zeitkontinuierlichen und dem\n", + "zeitdiskreten Fall nicht zu groß wird (der Phasenverlust wird dadurch von 28°für 0.1s auf\n", + "6° für 0.02s reduziert).\n", + "\n", + "<b> Ihre Aufgabe: </b>\n", + "<br><br>\n", + "Wählen Sie die Phasenreserve größer !" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #4 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Gegeben ist die Regelstrecke\n", + "<br><br>\n", + "$G_S(s)= \\frac{p_1p_2}{s^{2}-(p_1+p_2)s+p_1p_2}$\n", + "<br><br>\n", + "Dieses System 2. Ordnung wird in Matlab wie folgt definiert:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "p1 = -5\n", + "p2 = -8;\n", + "\n", + "Num = [p1*p2]\n", + "Den = [1 -(p1+p2) p1*p2]\n", + "\n", + "Gs = tf(Num,Den)\n", + "\n", + "bode(Gs)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Die Regelstrecke wird diskretisiert weil nur für zeitdiskrete Systeme ein Deadbeat Regler\n", + "ausgelegt werden kann:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Ts = 0.02\n", + "Gsz = c2d(Gs,Ts,'zoh')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Wir definieren das gewünschte Verhalten des geschlossenen Regelkreises durch die\n", + "Eingabe des gewünschten Übertragungsverhaltens <code>Kw</code>" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Kw = tf(1,[1 0 0],Ts);\n", + "\n", + "Grz = Kw/(Gsz*(1-Kw))\n", + "\n", + "Gl = Gsz*Grz;h\n", + "\n", + "Numz = cell2mat(Grz.num)\n", + "Denz = cell2mat(Grz.den)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "p1 = -5;\n", + "p2 = -8;\n", + "\n", + "Num = [p1*p2];\n", + "Den = [1 -(p1+p2) p1*p2];" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Grz = tf([1 -1.757 0.7711 0 0], [0.00734 0.006731 -0.00734 0.006731 0 0], 0.02)\n", + "\n", + "Numrz = cell2mat(Grz.num)\n", + "Denrz = cell2mat(Grz.den)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "% Set the Octave Engine to run the simulatio\n", + "% Simulation Parameters\n", + "pkg load control\n", + "addpath(\"./Octsim\");\n", + "% Start time\n", + "tini = 0;\n", + "% End time\n", + "tfinal = 3;\n", + "% Time Step\n", + "dt = 0.001;\n", + "% Number of data flows in the schematic\n", + "nflows = 4;\n", + "% Sampling time for discrete time\n", + "Ts = 0.02;\n", + "\n", + "% Instance of the simulation schematic\n", + "sc = Schema(tini,tfinal,dt,nflows);\n", + "\n", + "% List of components\n", + "c{1} = StepSource(1,0,1,0.1);\n", + "c{2} = Sum(1,4,2,1,-1);\n", + "c{3} = DTTransferFunction(2,3,Numrz,Denrz,Ts);\n", + "c{4} = TransferFunction(3,4,Num,Den);\n", + "sc.AddListComponents(c);\n", + "\n", + "% Run the schematic and plot\n", + "out = sc.Run([2 3 4]);\n", + "plot(out(1,:),out(3,:));" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plot(out(1,:),out(4,:));" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #5 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Für die gleiche Regelstrecke werden wir nun einen Regler mit\n", + "endlicher, aber nicht minimaler, Einstellzeit ( Deadbeat ) einsetzen.\n", + "<br><br>\n", + "Die Übertragungsfunktion dieses Reglers ergibt sich aus der Anforderung an das\n", + "Wunschübertragungsverhalten.\n", + "<br><br>\n", + "Das Sollübertragunsverhalten wird durch die Übertragungsfunktion <code>Kw</code> für den\n", + "geschlossenen Regelkreis definiert, die nun eine höhere Ordnung aufweist ." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Kw = tf([0.2 0.4 0.6 0.8 1],[3 0 0 0 0 0],Ts)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Der Regler wird wie im Fall vom Deadbeat Regler wie folgt definiert:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Grz = Kw/(Gsz*(1-Kw))\n", + "\n", + "Gl = Gsz*Grz;\n", + "\n", + "Numz = cell2mat(Grz.num);\n", + "Denz = cell2mat(Grz.den);" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "p1 = -5;\n", + "p2 = -8;\n", + "\n", + "Num = [p1*p2]\n", + "Den = [1 -(p1+p2) p1*p2]\n", + "\n", + "Gs = tf(Num,Den)\n", + "\n", + "bode(Gs)\n", + "\n", + "\n", + "\n", + "Ts = 0.02\n", + "Gsz = c2d(Gs,Ts,'zoh')\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Die Regelgröße erreicht die Führungsgröße\n", + "nicht in zwei Abtastschritten (minimaler\n", + "Anzahl an Abtastschritten), sondern es\n", + "werden mehr Schritte benötigt.\n", + "<br><br>\n", + "<span style='color:cyan'> Vorteil </span> der sich aus so einer Reglerauslegung\n", + "ergibt\n", + "≡ der Stellgrößenverlauf hat nicht so höhe Sprünge\n", + "wie in Fall einer Deadbeat Reglers" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Octave", + "language": "octave", + "name": "octave" + }, + "language_info": { + "file_extension": ".m", + "help_links": [ + { + "text": "GNU Octave", + "url": "https://www.gnu.org/software/octave/support.html" + }, + { + "text": "Octave Kernel", + "url": "https://github.com/Calysto/octave_kernel" + }, + { + "text": "MetaKernel Magics", + "url": "https://metakernel.readthedocs.io/en/latest/source/README.html" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "4.2.2" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/notebooks/alt/V06_normalformen_in_zustandsraumdarstellung.ipynb b/notebooks/alt/V06_normalformen_in_zustandsraumdarstellung.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..d7344ebb683b2306c33305d05aad1387ed237c2a --- /dev/null +++ b/notebooks/alt/V06_normalformen_in_zustandsraumdarstellung.ipynb @@ -0,0 +1,483 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# <span style='color:OrangeRed'>V6 - Normalformen in Zustandsraumdarstellung</span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #1 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Wir arbeiten zunächst mit der folgenden Zustandsraumdarstellung:\n", + "<br> $A$ = $\\left[ \\begin{array}{rrrr}\n", + " -1 & 0 \\\\\n", + " 1 & -2 \\\\\n", + " \\end{array}\\right] $\n", + "<br><br> $B$ = $\\left[ \\begin{array}{rrrr}\n", + " 1 \\\\\n", + " 0 \\\\\n", + " \\end{array}\\right] $\n", + "<br><br> $C$ = $\\left[ \\begin{array}{rrrr}\n", + " 0 & 1 \\\\\n", + " \\end{array}\\right] $\n", + "<br><br> $D$ = $0$ ." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A =\n", + "\n", + " -1 0\n", + " 1 -2\n", + "\n", + "B =\n", + "\n", + " 1\n", + " 0\n", + "\n", + "C =\n", + "\n", + " 0 1\n", + "\n", + "D = 0\n" + ] + } + ], + "source": [ + "A = [-1 0;\n", + " 1 -2]\n", + " \n", + "B = [1; 0]\n", + "\n", + "C = [0 1]\n", + "\n", + "D = 0" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Tranformationsmatrix <code>V</code> ist gegeben:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "V =\n", + "\n", + " 1 0\n", + " 1 1\n", + "\n" + ] + } + ], + "source": [ + "V = [1 0;\n", + " 1 1]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Damit sieht die inverse Transformationsmatrix <code>V1</code> wie folgt aus:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "V1 =\n", + "\n", + " 1 0\n", + " -1 1\n", + "\n" + ] + } + ], + "source": [ + "V1= [1 0;\n", + " -1 1]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Jetzt transfomieren wir die Matrizen auf Diagonalform:\n", + " <br> $A_{neu}$=$V^{-1}AV$ = $\\left[ \\begin{array}{rrrr}\n", + " -1 & 0 \\\\\n", + " 0 & -2 \\\\\n", + " \\end{array}\\right] $\n" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A_neu =\n", + "\n", + " -1 0\n", + " 0 -2\n", + "\n" + ] + } + ], + "source": [ + "A_neu = [-1 0;\n", + " 0 -2]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<br><br> $B_{neu}$=$V^{-1}B$ = $\\left[ \\begin{array}{rrrr}\n", + " 1 \\\\\n", + " -1 \\\\\n", + " \\end{array}\\right] $\n" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "B_neu =\n", + "\n", + " 1\n", + " -1\n", + "\n" + ] + } + ], + "source": [ + "B_neu =[1;\n", + " -1]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<br><br> $C_{neu}$=$CV$ = $\\left[ \\begin{array}{rrrr}\n", + " 1 & 1 \\\\\n", + " \\end{array}\\right] $" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "C_neu =\n", + "\n", + " 1 1\n", + "\n" + ] + } + ], + "source": [ + "C_neu=[1 1]" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Adc =\n", + "\n", + " -1 0\n", + " 0 -2\n", + "\n", + "Bd =\n", + "\n", + " 1\n", + " -1\n", + "\n", + "Cd =\n", + "\n", + " 1 1\n", + "\n" + ] + } + ], + "source": [ + "Adc = V1*A*V\n", + "Bd = V1*B\n", + "Cd = C*V" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<b>Frage</b>: Überprüfen Sie, ob das transformierte System eine diagonale Normalform hat?" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Transformationsmatrix erfolgreich verifiziert.\n" + ] + } + ], + "source": [ + "if Adc == A_neu\n", + " display(\"Transformationsmatrix erfolgreich verifiziert.\")\n", + "end" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "In den folgenden Codeabschnitten bilden wir das nachfolgende Simulinkmodell nach.\n", + "Gegeben sind zwei Zustandsraumdarstellungen samt Ausganggrößen:" + ] + }, + { + "attachments": { + "rsz_1v6_normalformen_in_zustandsraumdarstellung-42.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Zunächst untersuchen wir das Ausgangsignal von der „originalen“\n", + "Zustandsraumdarstellung :" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "% Set the Octave Engine to run the simulation\n", + "% Simulation Parameters\n", + "pkg load control\n", + "addpath(\"./Octsim\");\n", + "% Start time\n", + "tini = 0;\n", + "% End time\n", + "tfinal = 7;\n", + "% Time Step\n", + "dt =0.01;\n", + "% Number of data flows in the schematic\n", + "nflows = 4;\n", + "\n", + "xo = 0;\n", + "\n", + "% Instance of the simulation schematic\n", + "sc = Schema(tini,tfinal,dt,nflows);\n", + "\n", + "% List of components\n", + "c{1} = StepSource(1,0,1,1);\n", + "c{2} = StateSpace(1,2,A,B,C,D,xo);\n", + "c{3} = StateSpace(1,3,Adc,Bd,[0 1],0,xo);\n", + "c{4} = StateSpace(1,4,Adc,Bd,[1 0],0,xo);\n", + "c{5} = StateSpace(1,5,Adc,Bd,Cd,0,xo);\n", + "\n", + "\n", + "sc.AddListComponents(c);\n", + "\n", + "% Run the schematic and plot\n", + "out = sc.Run([2 3 4 5]);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Unter „Ausgang 1“ stellen wir das Ausgangsignal von der „originalen“\n", + "Zustandsraumdarstellung dar:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%Ausgang 1\n", + "plot(out(1,:),out(2,:)); " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Unter „Ausgang 2“ können wir das Ausgangsignal von der „modifizierten“\n", + "Zustandsraumdarstellung in Normalform untersuchen:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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REC01go3ZWWh2SdM0SZLZxaQ5NRqNWbegRNQIlrD0a/5in/ZtBqI+1Ag2zEcHwTPUCDZPkOBTagRbIUjwP9QItkWQ4L/UCLZIkACIgiDBvxmPYLsECUJQI4iAIIEaQRQEibpTI4iEIFFragTxECTqS40gKoIEQBQEiZoyHkFsBIk6UiOIkCBRO2oEcRIk6kWNIFqCRI2oEcRMkACIgiBRF8YjiJwgUQtqBPETJKpPjaAUBAmAKAgSFWc8grIQJKpMjaBEBInKUiMoF0ECIAqCRDUZj6B0BIkKUiMoI0ECIAqCRNUYj6CkBIlKUSMoL0GiOtQISk2QAIiCIFERxiMoO0GiCtQIKkCQAIiCIFF6xiOoBkGi3NQIKkOQAIiCIFFixiOoEkGirNQIKkaQAIiCIFFKxiOoHkGifNQIKkmQAIiCIFEyxiOoKkECIAqCRJkYj6DCBInSUCOoNkECIAqCRDkYj6DyBIkSUCOoA0ECIAqCROyMR1ATggRAFASJqBmPoD4EiXipEdSKIAEQBUEiUsYjqBtBAiAKgkSMjEdQQ4IEQBQEiegYj6CeBIm4qBHUliABEAVBIiLGI6gzQQIgCoJELIxHUHOLBSnLsslk8vnxNE2fPQ4Ac1ogSMfHx4PBoNvtpmk6OziZTI6Ojj58+HB0dDQcDtewQmrBeATMG6ThcJgkydXV1c3Nze3t7ez4u3fvOp3OxcXF3d3dYDBYzyIBqL5v5nxclmWtViuEkCTJaDSaHT85OZk9IEmSwtdHHRiPgLDQlt2sN+12+5O7er3e9fX1tFgAsIQFgpTn+fTG0wlp6uLi4v3799fX11967s4TS6ySCjMeQQUU8iI/b5BardbDw0MIIc/zZrM5O355eTl9L8Pe3t4LT398Yum1Uj1qBNVQyIv8vNeQOp1Ov9/v9Xqj0Wh63ShN0263+8svv5ydnWVZNh6PT09Pl14HADW3s1DN0jRNkuSTNy9MJpPxePz58ZlGo3F/f7/SMqki4xFU0tKv+fNOSFMHBwefH9zb23v2OADMz0cHsR3GI+ATggRAFASJLTAeAZ8TJACiIEhsmvEIeJYgARAFQWKjjEfAlwgSAFEQJDbHeAS8QJAAiIIgsSHGI+BlggRAFASJTTAeAV8lSABEQZBYO+MRMA9BAiAKgsR6GY+AOQkSAFEQJNbIeATMT5AAiIIgsS7GI2AhggRAFAQJgCgIEmthvw5YlCABEAVBonjGI2AJggRAFASJghmPgOUIEgBRECSKZDwCliZIAERBkCiM8QhYhSABEAVBohjGI2BFggRAFAQJgCgIEgWwXwesTpAAiIIgsSrjEVAIQQIgCoLESoxHQFEECYAoCBLLMx4BBRIkAKIgSABEQZBYkv06oFiCBEAUBIllGI+AwgkSAFEQJBZmPALWQZAAiIIgARAFQWIx9uuANREkAKIgSCzAeASsjyABEAVBYl7GI2CtBAmAKAgSAFEQJOZivw5YN0ECIAqCxNcZj4ANECQAoiBIAERBkPgK+3XAZggSAFEQJF5iPAI2RpAAiMJiQcqybDKZPHs8z/OClgRAHX0z/0OPj4+TJBmPx+fn5wcHB9ODk8mk2+02m808z5vN5sXFxXrWyRbYrwM2ad4JaTgcJklydXV1c3Nze3s7O/7u3bt2u311dXV3d/frr7+uZ5EAVN+8E1KWZa1WK4SQJMloNJodPzw8nN54diuP8jIeARu2wJZdkiTTG+12+5ODaZpeX1+fnp4WuzgA6mOBIM3etvB0Qgoh9Hq933777ebmZlasz+3s7MxuPz4+LrhIAKL29EX+9evXy32Rea8htVqth4eHEML0zQuz44PB4Ks1CiE8PrHcQtkk+3XAQgp5kZ93Qup0Ov1+v9frjUajk5OTEEKapt1u9w9/+EOe58fHx9OH3d3dLb0UAOpsZ6GapWmaJMnLw9DnGo3G/f39ggtja4xHwCqWfs1f4BpSCGH260cAUCwfHQRAFASJ/2G/DtgWQQIgCoLEfxmPgC0SJACiIEgAREGQ+Df7dcB2CRIAURAkQjAeAREQJACiIEgAREGQsF8HREGQAIiCINWd8QiIhCABEAVBAiAKglRr9uuAeAgSAFEQJACiIEj1Zb8OiIogARAFQaop4xEQG0ECIAqCBEAUBKmO7NcBERIkAKIgSLVjPALiJEgAREGQAIiCINWL/TogWoIEQBQECYAoCFKN2K8DYiZIAERBkOrCeARETpAAiIIgARAFQaoF+3VA/AQJgCgIEgBREKTqs18HlIIgARAFQao44xFQFoIEQBQECYAoCFKV2a8DSkSQAIiCIAEQBUGqLPt1QLkIEgBREKRqMh4BpSNIAERBkACIgiBVkP06oIwECYAoCBIAURCkqrFfB5SUIAEQBUGqFOMRUF6CBEAUBAmAKAhSddivA0pNkACIgiABEAVBqgj7dUDZCRIAURCkKjAeARUgSABEYbEgZVk2mUw+Pz6ZTPI8L2hJANTRAkE6Pj4eDAbdbjdN00/uevfu3c8//1zowpiX/TqgGuYN0nA4TJLk6urq5ubm9vb26V1HR0fX19drWBsANTJvkLIsa7VaIYQkSUaj0dO73r9//6c//an4pQFQJwts2SVJMr3RbrfXsxgWZr8OqIwFgjR728InE9I8dp5Y9LkARK6QF/l5g9RqtR4eHkIIeZ43m81Fv83jE4s+ly8xHgGRKORFft4gdTqd0WjU6/XOzs5OTk5CCGmaNhqNpb8xADy1s1DN0jRNkmR2MWlOjUbj/v5+wYXxdSYkIEJLv+Z/s9CjDw4OlvgerIMaARXjo4MAiIIgARAFQSol+3VA9QgSAFEQpPIxHgGVJEgAREGQAIiCIJWM/TqgqgQJgCgIEgBREKQysV8HVJggARAFQSoN4xFQbYIEQBQECYAoCFI52K8DKk+QAIiCIJWA8QioA0ECIAqCBEAUBCl29uuAmhAkAKIgSFEzHgH1IUgAREGQAIiCIMXLfh1QK4IEQBQEKVLGI6BuBAmAKAhSjIxHQA0JEgBRECQAoiBI0bFfB9STIAEQBUGKi/EIqC1BAiAKghQR4xFQZ4IEQBQECYAoCFIs7NcBNSdIAERBkKJgPAIQJACiIEjbZzwCCIIEQCQEacuMRwBTggRAFARpm4xHADOCBEAUBGlrjEcATwkSAFEQpO0wHgF8QpAAiIIgbYHxCOBzggRAFARp04xHAM8SJACiIEgbZTwC+BJBAiAKgrQ5xiOAFwjShqgRwMsECYAoCNImGI8AvkqQ1k6NAOYhSABEQZDWy3gEMCdBWiM1ApifIK2LGgEspJggZVk2mUwK+VIlsrOz88W7Sl6jF06t7Kp6alU9r+DU6qSAIB0fHw8Gg263m6bp6l+tAspeI4Ct+GbF5w+HwyRJrq6u8jy/vLw8ODgoZFnlpUYAy1k1SFmWtVqtEEKSJKPRqIglldXO+d9DCGoEsJxVgxRCSJJkeqPdbq/+1Upn2qEgRQCr2Xl8fFzl+b1eb39//+3btyGERqNxf3//+WMajcYq3wKAcnm2BV+16oTUarWyLAsh5HnebDaffcxyKwOgVladkEIIR0dH7XZ7NBqdnJx0Op1ClgVA3RQQpBBCmqZJkswuJgHAoooJEgCsaO0fHVThD3GYTCZ5nm97FWuRZVklTy1N06r+NIYQ8jyv8NlVT57nlfxbtor1TkjHx8dJkozH4/Pz8+r9zmy/3//48ePFxcW2F1KkyWTS7Xabzeb0XSqVObvpebXb7V9//fX8/Lx6Fzsnk8kPP/zwj3/8Y9sLKdh33303fbdUlX4aQwiXl5chhDzPO53O9F3K1TAYDIbD4fT2eDz+6aefpr+oOq/Htfnb3/72448/Pj4+Pjw8/PGPf1zfN9qK3//+969fv/7rX/+67YUU7Pb2dnZSb9682e5iCnR7e3t7e/tY0Z/Gx8fHH3/88c2bNx8/ftz2QopU1T+sDx8+TF8bP378+Oc//3nby1mLf/7zn0u8PBbwi7FfUu0PcXj//n2v19v2Kop3eHg4vVGxzZ+Tk5PpjSzLqvfum36/v7+/n+f53t7ettdSpOkZXV5e7u7unp6eVubsPnz4sL+/PxgMQgg3NzfbXs5aXF9fL3Fq672GVPMPcSij6bsl0zTtdrunp6fbXk7Ber3e9fX1YnsI0cuyLMuyWXGrZDKZvHr1qtPpfPvtt2dnZ9teTpF+/vnnEMLDw8Px8fG211K8wWDw/fffL/EPiDVOSCGE2SW76k1IFdbr9X777bebm5vqTRIXFxenp6c//PBDlXbt+/3+q1ever3e9AOOT09PK/MH1+l0plf7Dg4OZlcmquHw8HD6Q3h0dLTttRRvMBj89NNPSzxxjRNSq9V6eHgIL36IA7EZDAaVrNHl5eX0Fa0y2z4zJycn33///fQfpJ1OZ3d3d9srKky/36/kf2qzv78/u12xvfEQQpZlzWZzub9oa5yQOp1Ov9/v9XrTD3FY3zeiQNM3fM+2Ee7u7ra5muK8ffv27Owsy7LxeFyxrcjZDuTu7m7F3svabrfPzs4ODw/H43GVhtq3b98eHR31er3q/TSGEIbD4dK74mv/xVgf4kAkJpPJeDz201g6VX0Nqep5rcInNQAQhbV/UgMAzEOQAIiCIAEQBUECIAqCBEAU/h/3KSKypLr9xAAAAABJRU5ErkJggg==\n", 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\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%Scope 2:\n", + "plot(out(1,:),out(3,:),out(1,:),out(4,:)); " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Octave", + "language": "octave", + "name": "octave" + }, + "language_info": { + "file_extension": ".m", + "help_links": [ + { + "text": "GNU Octave", + "url": "https://www.gnu.org/software/octave/support.html" + }, + { + "text": "Octave Kernel", + "url": "https://github.com/Calysto/octave_kernel" + }, + { + "text": "MetaKernel Magics", + "url": "https://metakernel.readthedocs.io/en/latest/source/README.html" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "4.2.2" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/notebooks/alt/V07_steuerbarkeit_und_beobachtbarkeit.ipynb b/notebooks/alt/V07_steuerbarkeit_und_beobachtbarkeit.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..8f7454479a437755973a9475f6f83dd2322117f3 --- /dev/null +++ b/notebooks/alt/V07_steuerbarkeit_und_beobachtbarkeit.ipynb @@ -0,0 +1,308 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# <span style='color:OrangeRed'>V7 - Steuerbarkeit und Beobachtbarkeit</span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #1 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Es wird das folgende Eingrößensystem betrachtet:\n", + "<br>$\\dot{x}(t)$= $Ax(t)$ + $bu(t)$\n", + "<br>$y(t)$=$c^Tx(t)$\n", + "<br><br> $x$ = $\\left[ \\begin{array}{rrrr}\n", + " x_1 \\\\\n", + " x_2 \\\\\n", + " x_3 \\\\\n", + " \\end{array}\\right] $\n", + "<br><br> $A$ = $\\left[ \\begin{array}{rrrr}\n", + " -1 & -2 & -2 \\\\\n", + " 0 & -1 & 1 \\\\\n", + " 1 & 0 & -1 \\\\\n", + " \\end{array}\\right] $\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [], + "source": [ + "A = [-1 -1 -2; 0 -1 1; 1 0 -1];" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "$b$ = $\\left[ \\begin{array}{rrrr}\n", + " 2 \\\\\n", + " 0 \\\\\n", + " 1 \\\\\n", + " \\end{array}\\right] $" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "b = [2; 0; 1];" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "$c^T$ = $\\left[ \\begin{array}{rrrr}\n", + " 1 & 1 & 0 \\\\\n", + " \\end{array}\\right] $" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [], + "source": [ + "c = [1 1 0];" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + " <b>Zielsetzung</b>: Überprüfung der Steuerbarkeit und Beobachtbarkeit.\n", + "<br>Zuerst betrachten wir die <span style='color:red'>Steuerbarkeit</span>:\n", + "<br>Ein System 3. Ordnung ist vollständig zustandssteuerbar, wenn gilt:\n", + " $Rang$[$B\\,|\\,AB\\,|\\,A^2B$]=$Rang$($S_C$) = $n$ = $3$\n", + " <br><b>Mit</b>:\n", + " <br><br> $A$ = $\\left[ \\begin{array}{rrrr}\n", + " -1 & -2 & -2 \\\\\n", + " 0 & -1 & 1 \\\\\n", + " 1 & 0 & -1 \\\\\n", + " \\end{array}\\right] $\n", + "<br><br> $B$ = $b$ = $\\left[ \\begin{array}{rrrr}\n", + " 2 \\\\\n", + " 0 \\\\\n", + " 1 \\\\\n", + " \\end{array}\\right] $ \n", + " <br><b>Wird</b>:\n", + " <br><br> $Ab$ = $\\left[ \\begin{array}{rrrr}\n", + " -4 \\\\\n", + " 1 \\\\\n", + " 1 \\\\\n", + " \\end{array}\\right] $ \n", + " <br><br> $A^2b$ = $\\left[ \\begin{array}{rrrr}\n", + " 0 \\\\\n", + " 0 \\\\\n", + " -5 \\\\\n", + " \\end{array}\\right] $ \n", + "<br>Damit erhalten wir die Steuerbarkeitsmatrix:\n", + " <br>$Rang$[$b\\,|\\,Ab\\,|\\,A^2b$] = $\\left[ \\begin{array}{rrrr}\n", + " 2 & -4 & 0 \\\\\n", + " 0 & 1 & 0 \\\\\n", + " 1 & 1 & -5 \\\\\n", + " \\end{array}\\right] $" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "S_C =\n", + "\n", + " 2 -4 1\n", + " 0 1 0\n", + " 1 1 -5\n", + "\n" + ] + } + ], + "source": [ + "S_C = [b A*b A*A*b]" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans = -11\n" + ] + } + ], + "source": [ + "det(S_C)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans = 3\n" + ] + } + ], + "source": [ + "rank(S_C)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + " <code>det(S_C)</code> $\\ne$ 0 und <code>rank(S_C)</code> = $n$ = $3$\n", + "<br>Damit ist das gegebene System <span style='color:red'>vollständig steuerbar</span>!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<br>Jetzt betrachten wir die <span style='color:red'>Beobachtbarkeit</span>:\n", + " <br>Ein Eingrößensystem 3. Ordnung ist genau dann beobachtbar, wenn: $Rang$$\\left[ \\begin{array}{rrrr}\n", + " c^T \\\\\n", + " c^TA\\\\\n", + " c^TA^2\\\\\n", + " \\end{array}\\right] $ =$Rang$($S_O$) = $n$ = $3$\n", + "<br>Im vorliegenden Fall erhält man mit:\n", + " $c^T$ = [$1$ $1$ $0$], $c^TA$ = [$-1$ $-3$ $-1$], $c^TA^2$ = [$0$ $5$ $0$]\n", + "<br> Damit erhalten wir die Beobachtbarkeitsmatrix:\n", + "<br><br> $S_O$ = $\\left[ \\begin{array}{rrrr}\n", + " 1 & 1 & 0 \\\\\n", + " -1 & -3 & -1 \\\\\n", + " 0 & 5 & 0 \\\\\n", + " \\end{array}\\right] $ \n", + " " + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "S_O =\n", + "\n", + " 1 1 0\n", + " -1 -2 -1\n", + " 0 3 1\n", + "\n" + ] + } + ], + "source": [ + "S_O = [c; c*A; c*A*A]" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans = 2\n" + ] + } + ], + "source": [ + "det(S_O)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "ans = 3\n" + ] + } + ], + "source": [ + "rank(S_O)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + " <code>det(S_O)</code> $\\ne$ 0 und <code>rank(S_O)</code> = $n$ = $3$\n", + "<br>Damit ist das gegebene System <span style='color:red'>vollständig beobachtbar</span>! " + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Octave", + "language": "octave", + "name": "octave" + }, + "language_info": { + "file_extension": ".m", + "help_links": [ + { + "text": "GNU Octave", + "url": "https://www.gnu.org/software/octave/support.html" + }, + { + "text": "Octave Kernel", + "url": "https://github.com/Calysto/octave_kernel" + }, + { + "text": "MetaKernel Magics", + "url": "https://metakernel.readthedocs.io/en/latest/source/README.html" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "4.2.2" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/notebooks/alt/V08_regelung_im_zustandsraum.ipynb b/notebooks/alt/V08_regelung_im_zustandsraum.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..25de1270c7728170e107577cda5963f5b9fbb7a8 --- /dev/null +++ b/notebooks/alt/V08_regelung_im_zustandsraum.ipynb @@ -0,0 +1,1782 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# <span style='color:OrangeRed'>V8 - Regelung im Zustandsraum</span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #1 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Gegeben sei das System:\n", + "<br> $A$ = $\\left[ \\begin{array}{rrrr}\n", + " 1 & 1 \\\\\n", + " -2 & -1 \\\\\n", + " \\end{array}\\right] $\n", + "<br><br> $B$ = $\\left[ \\begin{array}{rrrr}\n", + " 0 \\\\\n", + " 1 \\\\\n", + " \\end{array}\\right] $\n", + "<br><br> $C$ = $\\left[ \\begin{array}{rrrr}\n", + " 1 & 0 \\\\\n", + " \\end{array}\\right] $\n", + "<br><br> $D$ = $0$ .\n", + "\n", + "\n", + "Zunächst prüfen wir die Steuerbarkeit des Systems über den Rang der Steuerbarkeitsmatrix:\n", + "<br><br> $S_c$ = $\\left[ \\begin{array}{rrrr}\n", + " B & AB \\\\\n", + " \\end{array}\\right] $ = $\\left[ \\begin{array}{rrrr}\n", + " 0 & 1 \\\\\n", + " 1 & -1 \\\\\n", + " \\end{array}\\right] {\\Rightarrow} Rang~S_c = 2$ " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "pkg load control" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "A = [1 1;\n", + " -2 -1];\n", + "\n", + "B = [0; 1];\n", + "\n", + "C = [1 0];\n", + "\n", + "D = 0;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Prüfe die Steuerbarkeit mittels Rang-Funktion:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Steuerbarkeit des System\n", + "S_c =\n", + "\n", + " 0 1\n", + " 1 -1\n", + "\n", + "ans = 2\n" + ] + } + ], + "source": [ + "disp('Steuerbarkeit des System');\n", + "S_c = [B A*B]\n", + "rank(S_c)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Wir sehen, wie erwartet, dass der Rang der Matrix 2 ergibt." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Im nächsten Schritt ermitteln wir die Eigenwerte des offenen Regelkreises:\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Eigenwerte\n", + "ans =\n", + "\n", + " -0.00000 + 1.00000i\n", + " -0.00000 - 1.00000i\n", + "\n" + ] + } + ], + "source": [ + "disp('Eigenwerte');\n", + "eigs(A)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Das offene System ist grenzstabil mit den Eigenwerten: $p_{1} = 0+j$ , $p_{2} = 0-j$ \n", + "<br><br>Gebe nun für den geschlossenen Regelkreis diese zwei Pole vor, sodass eine Verschiebung in die linke Halbebene erfolgt:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Regler\n", + "pd =\n", + "\n", + " -3 + 3i -3 - 3i\n", + "\n", + "F =\n", + "\n", + " 23.0000 6.0000\n", + "\n" + ] + } + ], + "source": [ + "disp('Regler');\n", + "pd = [-3+1j*3 -3-1j*3]\n", + "F = place(A,B,pd)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "So erhalten wir ein stabiles System." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Zur Veranschaulichung bilden wir zunächst dem folgenden Simulinkmodell nach. Wir fangen mit dem offenen Regelkreis <span style='color:Red'>A</span> an:" + ] + }, + { + "attachments": { + "Slide1.PNG": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<img src=\"attachment:Slide1.PNG\" width=\"700\"/>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Das System hat den Eingang Null, so erwarten wir an dieser Stelle im nächsten Schritt die homogene Lösung." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "% Simulink model A\n", + "% Set the Octave Engine to run the simulation\n", + "% Simulation Parameters\n", + "addpath(\"./Octsim\");\n", + "% Start time\n", + "tini = 0;\n", + "% End time\n", + "tfinal = 10;\n", + "% Time Step\n", + "dt = 0.01;\n", + "% Number of data flows in the schematic\n", + "nflows = 4;\n", + "% Initial conditions\n", + "xo = [2; 2];\n", + "\n", + "C2 = eye(2);\n", + "\n", + "% Instance of the simulation schematic\n", + "sc1 = Schema(tini,tfinal,dt,nflows);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<br> List of components:\n", + "<br><br><span style='color:Orange'>Constant Function Definition:</span>\n", + " <br><code>Constant(1.argument = Output_1, 2.argument = constant value)</code>" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "c1{1} = Constant(1,0);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<br><span style='color:Orange'>StateSpace Function Definition:</span>\n", + "<br><code>StateSpace(1.argument = input_1, 2.argument= output_2 & output_3, 3.argument= A, 4.argument= B, 5.argument= initial conditions x0)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "c1{2} = StateSpace(1,[2 3],A,B,C2,D,xo);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<br><span style='color:Orange'>Gain Function Definition:</span>\n", + "<br><code>Gain(1.argument = input_2 & input_3, 2.argument = output_4, 3.argument= gain value)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "c1{3} = Gain([2 3],4,-F); " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sc1.AddListComponents(c1);\n", + "\n", + "% Run the schematic and plot\n", + "out1 = sc1.Run([2 3 4]);\n", + "plot(out1(1,:),out1(2,:),'r','LineWidth',4 ,out1(1,:),out1(3,:), 'b','LineWidth',4); %Output Signal 1 & 2\n", + "legend('State-Space 1, x_{dot}','State-Space 1, y')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Wie beim grenzstabilen System zu erwarten, erkennen wir eine perfekte Oszillation." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Hier betrachten wir den Verlauf unseres des Verstärkerelements F:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(out1(1,:),out1(4,:),'g','LineWidth',4); % Output_4\n", + "legend('out gain F')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Im nächsten Schritt schließen wir den Regelkreis:" + ] + }, + { + "attachments": { + "Slide2.PNG": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<img src=\"attachment:Slide2.PNG\" width=\"700\"/>" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "% Matrices\n", + "C2 = eye(2);\n", + "\n", + "% Instance of the simulation schematic\n", + "sc2 = Schema(tini,tfinal,dt,nflows);\n", + "\n", + "% List of components\n", + "c2{1} = Constant(1,0); %Just for reference for plotting graph, not being used here.\n", + "c2{2} = StateSpace(4,[2 3],A,B,C2,D,xo);\n", + "c2{3} = Gain([2 3],4,-F); \n", + "\n", + "sc2.AddListComponents(c2);\n", + "\n", + "% Run the schematic and plot\n", + "out2 = sc2.Run([2 3 4]);\n", + "plot(out2(1,:),out2(2,:),'r','LineWidth',4 ,out2(1,:),out2(3,:), 'b','LineWidth',4); %Output Signal 1 & 2\n", + "legend('State-Space 1, x_{dot}','State-Space 1, y')\n", + "grid on" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Nun sehen wir, dass innerhalb von 2 Sekunden das System in den stabilen Zustand übergeht." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Wieder betrachten wir den Verlauf am Verstärkerelement F:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(out2(1,:),out2(4,:),'g','LineWidth',4); % Output_4\n", + "legend('out gain F')\n", + "grid on" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "## <span style='color:Gray'>Beispiel #2 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Gegeben sei das System aus <span style='color:Gray'>Beispiel #1</span>." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "A = [1 1;\n", + " -2 -1];\n", + "\n", + "B = [0; 1];\n", + "\n", + "C = [1 0];\n", + "\n", + "D = 0;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Nun möchten wir die Regelgröße fixieren. Im stationären Zustand soll nun die Regelgröße der Führungsgröße entsprechen. Hierfür ermitteln wir den Vorfilter $V$ mit: <br> $V$ = $[C(BF-A)^{-1}B]^{-1}$ " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Steuerbarkeit des System\n", + "W =\n", + "\n", + " 0 1\n", + " 1 -1\n", + "\n", + "ans = 2\n" + ] + } + ], + "source": [ + "disp('Steuerbarkeit des System');\n", + "W = [B A*B]\n", + "rank(W)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Eigenwerte\n", + "ans =\n", + "\n", + " -0.00000 + 1.00000i\n", + " -0.00000 - 1.00000i\n", + "\n" + ] + } + ], + "source": [ + "disp('Eigenwerte');\n", + "eigs(A)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Regler\n", + "pd =\n", + "\n", + " -3 + 3i -3 - 3i\n", + "\n", + "F =\n", + "\n", + " 23.0000 6.0000\n", + "\n" + ] + } + ], + "source": [ + "disp('Regler');\n", + "pd = [-3+1j*3 -3-1j*3]\n", + "F = place(A,B,pd)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Als Eingang wird in Simulink der Einheitssprung gewählt. Wir fügen nun den Vorfilter V als Gain Komponente ein:" + ] + }, + { + "attachments": { + "Slide3.PNG": { + "image/png": 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jx6JFi/bt23fq1CltIW3vLaKEYQUxAvj5Cm83bWTFM4NGt2Hzlry5c5frMbXF2tst1kQM+zOSADYQwElGAFuZIwNYQkNDNVx+/fXXs2TJoidx9OjR3t7eug8hISHKYOc4R/SFadOsefJnGwIYdvHbb78pgHkF2C60Vr788stvvfXWihUr/vzzz/PnzxPAiJMqt3///ilSpMiTJ49WQNH2vEOHDjNmzDhw4EBAQMCVK1eMdxixCCF5RQ/gtn9c8ahQ94PGDhptPrLN27bny5undLeJH6wM/XBl6NB9dwhgAwGcZASw4925c+fatWvmhQQ5OIBFT1ZgYOC4ceMKFSqUNWtWDfgWLlzo7++vvDHOEf1UZ/CNbduS662/GvHcuHHDvJAgAhh2QQDbkS2Aly9fTgAjAQrgvn37FitWTOOf1atX9+zZs3z58u7u7loZNTRq06bNxIkTDx48qEXIOJ24cYCVE/xxGU+df74HOChH+TpPwSvAm7bkze1V8uPxjZYFN1l+c/DeCALYQAAnGQHseHpMunXrNnLkyH8ton8NYO07jxw5osf55s2b5qR/CggI2LNnz+XLl83LiaNa27t3r+5klixZvLy8tIRs27ZNN2KcH8s4juup22GHnTlzqGbN5Drx1fHjx/UwTpo0KSIiwpwUDwIYdkEA25EtgPV4EsBIgPaPvXr1KlWqlPHuX20YNShasWLFl19+WbVqVZVwtmzZSpQo0axZs3Hjxu3evTsoKCg4OFg71qf978t46jyNAbx+42YFcPEu4xr8eq3R7zcG7Q4jgA0EcJIRwI6nKK1cubKHh4fKVoNUc2pcEhPAo0eP1q2pRsxJ0eiRV8S+/vrrp06dMiclhYp34cKFderUSZs2rXbnWlR8fHzUwIrtp+6IaNXvrjx5bifxDwF2dPjw4eLFi+fOnbtly5YbNmwwp8aFAIZdEMB2RAAjkbRT7tmz5wsvvBDjOC9VrvYCv/76a79+/bRT9vT0zJQpU8mSJZs2bTpy5MjNmzdfuXJFO1bRLaiiWcDwpMUI4Ozlan9g+QBet3FTntxehTuMfmfhpfd/vfbtrlAC2EAAJxkB7HgaPFWvXv3/TuX+zDPaTfbq1UsjKvO6f/rXANY+ctasWbqdTz75xJwUjb49Z86chQsXfpyPqFH0Dhs2rESJEunTp1cM68fp/mtpDAkJ0aL4VBy7lez1K0ePHlXWGk96+fLl+/fvrwfWvO6fCGDYBQFsRwQwEkn5+tlnn8UOYBslrre394IFC7788suaNWvmypUrc+bMGjU1adJk+PDhq1ev1qhJN3I3CiWMJ+fpDeBC7Ue9veDie0uvEsA2BHCSEcCOp8HTG2+8YbSQQXvBCRMmBAYGmnM8lJj3AJ88edLT07Nq1aqxC0SJkjFjxt69e5uXH8OmTZvat2+fLVs27a27du26Zs0a7d1DQ0NtR0Sb81lPAvXr27Onw06IpQAuU6aM+Xw/80zKlCnr168/c+bMK1eumHM8RADDLghgOyKAkUhq108//TSBAI7Ox8dn7ty5ffr00aKVJ08ed3d3feMHH3wwbNgwLWm+vr7GX5lFMaz/n6KjrmB9jxbAxnL4hOjGzR8TDwI4PgRwkrlaACuHtru7K4CT8YNwYgewPPfccypM7fP0RJvzJS6ANX+bNm2yZ8+uKDUnPdSxY0cF8LZt28zLjyciIkLBVqNGjfTp02ssOGLECOO9x2pgXaXds6WeaIPt6Y7z31Y3N4e9LBwjgA1Zs2ZV6G7cuDH6Sk0Awy4IYDsigJFISQpgG39//0WLFvXs2bNmzZoqYe3QixUrphLWflZb2iNHjoSEhGi2qEYwGd8IPLIkBfCOHTvGjh3bu3fvHj16aEF9QnTjffv2/fHHHw8ePGj+4H8igONDACeZ6wTwjW3bYvSP/iXLOYHjDGBD7ty5Bw4ceOjQIWN0deXKlX8NYJk9e7a+99tvvzUvR9ECoyeiRIkS8Z0f69Hozg8YMEB79wwZMjRs2HDu3LmnTp3Svjk8PFxLpqUyOM5nPPo/R34eUpwBbChevPjo0aO14hhz+vn5JRDAepx9fHy0WpmXkw8BbHEEsB0RwEikRwtgG21Ily1b1qdPn9dff71AgQLu7u4q4SZNmowcOVLL3uHDh3Wzxktwmvn/OpgSxqNKfABrPK+xaMmSJTU4Kf0kGbevH1S/fv2dO3eaPz4aAjg+BHCSudorwFaQQAAbKleuPGfOnAsXLiiAa9eu/a8BrJ2idpPaXkREO8PwunXrsmfP3qtXL0WpOcl+9u3b17x5c09Pz5w5c2pXvXnzZt3bsLAw5ZnFj4hOLgkEsKFWrVq//vprUFCQv79/uXLl4gvgwMBAja7mz59vXk4+BLDFEcB2RAAjkR4zgG1CQkK0af3yyy+rVauWP39+7eKLFi3asGHDMWPGrF27Vpvcixcvao8flcAm8zuBxElkAB8/flxjktatW+/evVvjkycqICBA/2/YsKFevXo1atSI/QkmBHB8COAke0IB3KhRI227jxw58jinX3JWSoU333zT7J54pE2btmXLlosXL9bOT/s88zvjoQf5gw8+yJs37969e81JDx6oS93c3DZu3Ghetje1ru7e66+/ni1btooVK06ePPnEiROaaF6Nf/L19dUuxHx245EhQwZ1rx5VrUHdunUzv/Of/v777x49eixatMi8nHwIYIsjgO3ICgF8PzLyr3r1HvMwlujHxdjrAKjot5mMJ9ewCHsFsOHu3bsq4Z07dw4aNOiNN97IlStX1qxZCxQo0KBBg+HDh6sTNOK6cOGC5jEOvzKY3wwkKDEBrMXp888/r1OnTlBQkDnJIU6ePFm1atUxY8aYlx8igONDACfZkwjgUqVKvfPOOxqjb968+fjx49oNqNBg4+PjoxXbjJ74pUiRIl++fNrbKW7NBzce2kKpPzX/pEmTjCmRkZFaVIoVK5bUTwBOqnPnzrVu3Vr3NnPmzPpCIaSnm2c8tt27d2u9MJ7ZBKRKlapw4cJubm69evUyH+KHNK4SPz+/zz777JdfftHX2hQk48tQBLDFJTWAIyIiNM7WFtu8/AREDc6f+GjlSfwIKwRw7Pd0bEmTJnjPHvPqRPDt2VPfZZz/wsjpx2zgC9OmGffEkW8nsThtme0YwDZhYWEqkH379o0YMaJu3bqenp7ZsmXTCEFjLbWxSvjMmTOXLl3SQFF3wJqn5IDVJCaAQ0NDNZj88ccfzcuOogW4X79+7777rnn5IQI4PgRwkj2JANZAIWPGjHny5ClQoECRIkVK4J/0mKRPn94snvhpnsaNG5crV07/mw9u/NRX2h126NDBOOBZA1kvL69u3bppX2jM8CQos3/++Wf9Orq35cuXz5s3b6FChcxfEv9UsGDBdOnSGc9sAtzd3Vu2bFm0aFENocxHOYrW+mnTpv3vf/8bPHhwjRo12rdvP3HixJEjR8Z3oggHcOUAVkgktT0cL6kBfOrUKa2/jRo1Mi8/AbozT3qJ1XBtz549u3bt0iZRm0HFql3eMJ/sAaxePdK48eMsckY/Ry9eY8qjvWZrezk6Wc6jYWVPKIBttIQHBgZq8f7hhx/ee++93LlzZ86cWTvf2rVr9+/ff9WqVQEBAdoaa8QYERHBpyg9aba/AcX5z+J/GEpMAGtx0oBk06ZN5mUHmjNnTpkyZYzTv9kQwPEhgJPsSQTwSy+9VKlSpX79+o0aNWr69OlLlixZimh++umnF1980SyeeNSpU2f58uXe3t61atX61/cAS3BwcP369bXTPXHihC4OGjQobdq0sc8LbUe6cf1EjbDz5MnTo0cPjQsXL16sHl64cCHPeGzjxo0rUKCA+ezGo0mTJtrN7Nu3L/Z7gMPDwzW40ePcuXPn8uXLv/POO3379tXXmzdvNudwOJcNYCMbnC+AL1269O6773711VfmZXvz8fGpWLHi//73P/Pyk3H9+vXhw4dXr15d29g333yzTZs2r7322kcffaRkNed4JMkewFrqHnMwbbz8G/1GjJPkP0IA2+qXF35je9IBbKO+9fPz27Zt248//ti0adNChQq5ubnlz5//jTfe0GZZO52zZ89q3Gh8TINRwrwsbF+2FSG+fxZ/R0BiAvjo0aNatOI8H9WTpsGk1iPtmMzLUQjg+BDASfYkArhkyZLaHG/fvt3X11dbXvMKPKQdkgZSZvTEokfvu+++U/pqTj3piTkLtGHMmDEpU6ZUfOrrunXrFixYMPYHC9uFBrI9e/YsVqyYfpwGl99+++3GjRv1XN+4ccOcA7FoxKwBtPkcx1KpUiUNYow/Xly4cCH2WaDv3r2r/dDhw4fXrVvXunXrkSNHqjkPHDjg4LflROeaAWz7IHHnC2CNj7UEavEzL9vb2LFjtahrgTGOUkmqmzdvaueivjUvx0P7x7Vr1xYvXlw/S/W7atWqdu3aZcyYUZus4OBgc6akS94A1jj7MV/+ldgBrKh+tMU49k3BxmEBHJ1aV7uGH374oXnz5kWLFs2UKVPevHlr1KjRu3fvefPmGafn0B0zUML2EnbmzA5PzzjXoAvTpjnycxYfTWICWGPRwoUL79ixw7zsQAsWLNB4OMYuiQCODwGcZE/oJFicBToBGjzFeRZojVa7dOmyZs0a2yOWmM8Bttm6dWuWLFkGDBigvV2BAgW6du1q978+KHLGjx9v3HltEzt06DB16tQNGzbs3r1beabe1vBUyyfPeGzxnQU6X758GprruTPnixpqJ/AxSHoKlBCKT/Ny8nHNANbQ/+ygQdvd3Z0vgJ8of3//KlWqaIHv2LHjo30w2759+7QlTMxZ/fz8/IwGWLZsmS7u2rUrZ86cmTNn9vX1NWZ4BMkbwMZBB8a/R35NyahW26Dc+FPOI3wevnFnrD+4Ty4qTMcHsI1qYe3ataNGjWrVqpXug4YEuXLl0iiiV69ec+bMOXToUGho6N1o2Fk/Dr8BA+JcC4xXhq3/F6LEBLB27skbwDHew0IAx4cATjIC2PFiB3Dq1Knr1q07efLkGK9vJCmAVSAan7399tvffPNN9uzZNfw1r7AH7Sk18mvXrl26dOnc3d3feeed7777TuNL7Wu3b9/u7e2tQefly5e1lGr3zzMeW+wAzpAhg57Zn3/+OcapsxMO4ICAgC5dumgoY15OPi4YwMZhqMaBo04WwFpnbRufyMjIx3mxNE4TJ05UgqZPn7527drnzp0zp0ZRD9u2GAn8XP0iKVOmnDVrlnk5fps3b06VKpVWN+2MdHHLli1eXl7acJ06dUoXtQO9ePGiNmj6WhF748aNxPyhMBkD2BhM2wLY+PfI4ap/SuhHrl/bnXmE73URyRvANlqVNmzYMGzYsKZNm2pIpiGB1oKaNWv27t1bK9GePXu0xdZ6J1qSxbYO4vE98psLHIwAdiYEcJIRwI4XI4A1UPv888+NwVkMSQpgUfoWLFhQu96yZctqxGZOfWwHDx4cPHiwdp8K9QoVKujeLlq0aNWqVRpoaix4/PjxwMBA7U1DQ0M5vCo+0QM4RYoUlSpV0kMa5+Gm//oKsIYvyfKGnBhcLYDVDHtfeOH25cvOF8Aa3Hz//fdfffWVNk2XL1/WCj5o0KDor9Nqvda2SOGqGWLTYhwWFmbOGhd/f/9mzZq9++67GkgVLVrU6FI5efLk3Llz+/Tps27dOm00pkyZ8tFHH8V3lqzVq1dnyZLll19+MS/HQ7czdepUrWWtW7fWxZCQkL59++pi48aNAwIC1qxZo19N20njLZHaiA0YMMB2fxKQvK8A2xiv4hr/knr2KdvR+/oX/fXb6C8vx7gqNmNmY+GPfmesvzo4jEUC2Eb3R/uLkSNHNmrUqHTp0lmzZs2dO7dGIFrv5syZo3VfC7NWB2Nmdt92oVXjqThEggB2JgRwkhHAjqf9jXE0oPZDTZs23bJli3lFLEkNYI0jc+XKpVv+7LPPlKPm1Megsp03b17FihXVbAUKFOjQocPMmTOXLVum5tm9e/eRI0c0tNWIWWNlLZbGiyqIkx6rYsWK6anRw9i+ffsDBw6YV8SScABbh6sFsMY0xl/0nSyAtX0ePXq0tjPp0qX79ttvx40bp0bVNkebKXOOqILVE92yZcs2sbRq1UrLcwLDI93+hAkT1J9aTipVquTm5qZNhzFd+wjtfVKlSlW7dm1d++qrr5YqVSq+w/s3btzo7u6+ePFi83I8tKP85JNPtKLVqVNnxYoVAwcOLFGihPab+qFBQUG6w7pKGzTNeeXKFf3WHh4e27dvN743ARYJYIOtPJN0jGX0AI7x2lT0F4fNSfGIHr22mW0nwrX+S14OYLUAju7QoUM//PCDVkZ1Rfbs2XPmzFmtWjWVsPbyWkH8/PzCw8ONBjaY34akMFa0p+Id8gSwMyGAk4wAdjwNnt5+++2yZcvOmjUrxuGvMSQ1gDXCa9u2rcavq1evNic9KjXtnj17mjdv/txzz2XJkkV3WCNjjT51yxovaj+qEaGe3Bs3buhX4K1E/0rrhcb3VapU+fXXX21/bo8TAWxBKgTbgMb5XgHWkFfb6mzZsuXJk0cbEG9vby2E0dfoo0ePvv7667njUaBAgaVLl5qzxhIQEKABt4bdWuwVperPtWvXGlfpR6hCq1evbnzk2y+//HLu3Dnt6YxrRV9rBi1aaolFixZlzpx5ypQp+lpTtK0LCQmJvdkJDAxUZqdOnVp3zDgvroZQtiMmVq1apSldunTR1/qVM2bM+MYbb8QYYMXJUgEsSW1OI1z/nj7daOAYL08l8ojN+/Gf/Nm4P7wOLFYOYIMW3ZMnT06ePLlJkybFihXz8PBQCVetWrVnz57axe/bt08lHBwcbBwlwZ49qYw/Jz0VfwwigJ0JAZxkBLDjaUinCtKI6l9fMk1qAEtoaKh2XY/zYqx2expEDhgwQDtFDRbLly/fv3//n3/+ecWKFfEd82x+J+KnR0xBovH9v64OBLDV2A5+Ni46XwCL1mXV73PPPadNkzkpGl17+PDh3bt374mLRszappmzxjJ79uyiRYtqKKNNR82aNRXA2piY10VtbT777DNN1Fg89lZLY/R27dp16NBByap4TpMmjWpZX2tKy5YtdTva/pizPnTw4MGUKVNqWL969WofHx/1vL6rffv2xruLx40b5+7uPm3aNK2GEyZM0M/t3LlzYvZQVgtgW4v+63txjdejbMVrK+foEauJiXnBKoEfant5mfcGWz+ADVrdQkJCzpw5M2fOnDZt2hQpUiR7lCpVqnTr1m3evHne3t7+/v76LTTmNEo4MWsKnpbjn4UAdiYEcJIRwI6nfUkin8RHCODHFB4ermGlojdjxowaEGusOWnSJI2kN27caBzzfPbsWeNkV8ZO0fw2/BuNNmIP1uNEAFuN7eBng1MGsJZPDXw1/D158qQ56Z+0GbcNgqMzJpozxaItmMo2a9aslSpV0u17eHioOUeMGBF90zF27NjUqVNrT2Rejkbj8gxRtDlSnKdIkSJdunT6WlPc3Nx69OgR+73HCxcu1I9QaRvbWP36OXPmTJs2rXZGutiqVats2bJpO+bn51eqVCnNOXr06Kjv+xdWC2AxXmhKOFyNLo2+rNpK1TZRt5PItxMnEMC2qxIT0s7taQlgm8jISG29fX191RsaDWq9yJQpk1ZVDQM++ugj5bEGdVqRr1+/ruGB8bKw+Z2IxVi/npY/AxHAzoQATjIC2MocHMDaxjVs2NDT01NDzAYNGnz33XcaTSpvjGOetYPUs8kxz08aAWwp0Q9+NjhlAF+4cKFgwYJa8Tds2GBOiiYgIKB///7KUe0sYujQoYNGycbbemNbsmRJhQoVtITs2rVr586dxrtzP/7445CQEGMG7c66dOmisv3ss8+MKdEdP35cGx+DSlXd+8033xgXtbHSmhJjLB4REfH555/rR+heGVN0x4oWLaopxieNad+UL1++0NDQuXPnaqIW4BUrVhhzJsyCAZyYobZx5HOMvjXKWf+2urkF7969K0+exL9aZdxgnD/UuIoAfuoC2Eb7dA05tDFfvHhxt27dypYtmzlzZq0j+qJjx45Tp041tvMai2oMoDU39iEb0Mpl/V2DDQHsTAjgJCOArcxhAXz27Nk+ffpon50yZcqKFSv27dt31qxZa9as2bJli+2YZ+3OOebZAQhg61BjRD/42eCUAayw1Or/3HPPff/992FhYTFOSn/kyJHXXntNo+GcsXh4eOTNm1eha84ajbYYTZs27d69u3k56nDo1KlTv/POO9qyGVNUxaVLl06TJs27776rfdy5c+fi+1AiRa+7u7uWOvNyXIx3FOtHjBw50pii+fVdWbJk8fb21rWenp76Qf7+/k2aNPHy8qpSpcqqVatOnDhhzJwACwbwv75x1/Zib+wotR0IndRjNY1vjLNyE2hjl/L0BnB0QUFBWs5VIL169apcubJWouzZs5cpU6Z169Y//vjjnj17rl+/rg2F1lb9vvxB3EZrQVJPz56MCGBnQgAnGQFsZQ4IYDXtpEmTatasqfTNly9f27Ztx48fv2LFio0bN+7atct2zLNxnmeN+Xg2nzQC2DpsnZDAPwcPdxLfXYkJ4ODgYG2lf/nllwYNGvzwww8ZMmSoW7fujBkzYpxFT4NdheK8efMWxqIxyuLFi5WU5qzRqIpLlCixb98+83LUOaiyZs2q4ZQCUtm5ZcuWli1b9u/fv2zZsuXKlVN7a1sUGc8p4hLzMUh+fn6ZMmXSSN14HVs/pVGjRsZrztqCaUHVEtuuXbthw4b16NEjV65cGl0NHz587969xrcnwIIB/K+HLhuFrEU0dq/ajliOcwH2GzAgvio2ojp2Nhs3+BS99vXkOEcA22gToVV49uzZWmWMdzEohrW2qoS1wmoV1pZf66xBJezKfx+34PHPCT8dBLAzIYCTjAC2sicdwBqPdujQQUNGY+CrhUFVs27dum3bttmOedb+j2OeHYkAtrjkfQVYA5GpU6eeOXPGvBy/xATwmjVrXn311dKlS//88883btzQF8rF7t27x/mx5ImnUdeyZcsKFSqkW5syZUpoVF8dPHiwcePGmiIfffSRtmz6cUrTK1eu9OvXTxNr1KihvYZxC7EZJ3COfgKtGLy9vTUoN27/3Xff7dmzZ5MmTTR+atu2rfHrKNd1VZ48eb755pvNm5V+z6RNm1bZHxQUZNxCAqwWwBpq7ylSJOEl0PYKcOxl1dbGxr/oM8Q+5j+GOF8ENm4w4W98qmkPaPytR3tDc1I8HieAIyIijhw5onX8wIEDxloTw4ULF5Sj0T+j22H0CGgVnj59erdu3apVq+bp6Zk1a9ayZctqpRs7dqyGDVopjAC2Mb/TZVjw+GdtXbW/0D7avPxPBLAzIYCTjAC2sicXwBosDhs2TCPUFClSaB+mweL8+fM1xNy0aZPtmGcljfbBkZz0wrEIYItL3gCePHmyl5eX9gXLly/XTsGcGpfEBPD27ds/+OADPYnGgcczZ85s1apVfKOlxNMW45dffmnWrJnic9KkScb93Llzp7q3XRQt3h9++KF+C+OcWxpYa2bNGfXdcVu7dm3OnDk1JDIvx7J3796uXbt26NBBt69fSrevH6fx+vXr140ZtFnT/WnTpo2+UPRqHC++vr7GtQlLxgA2Di3WP9srS1oCE/nGXdvbfaMvripY41Xf+9FeB7b9S8xB0TGOdjbWiKfoyM9HoKxt2bJlwYIFv/rqq4QPGXi0ANbipPWuV69e1atX1wiqSpUqPXr00O7YvPqh1atXa8AW5wEXjuTj4zNjxgytbirhXLlyaTtTunTp9u3bf//997qHp06dMrYnGvvp93KdEaAFj38+e/aslqXy5cuPGzdO2z1z6kMEsDMhgJOMALayJxHAFy5cWLhw4RtvvGG8GKLx7k8//aTB9Lp16+I85tn8NjgKAWxxyRvAs2fPzpgxo1be3Llzf/PNN0rH+FbSRL4HWON186solt1cK5UHDRp0+PBh8/Ijufuop+1JxgCOnalJGmTbXge2/YtxiKaxPBtXJf6WbWlt/HsqPvX0cWjJ6dixo9Y7ee2115R/fn5+5nX/9AgBrFycM2eO8Tlk2vhrmGcci1G8ePHNmzcb82i/vHXrVmXM22+/rcGVceyxcVUyCggImD9/vkpYleXl5ZUtW7ZSpUq1adPmf//735o1azQa1EDC2KQ4fQxb8PhnOXfu3Ouvv24st40bN162bJlGd+Z1BLBzIYCTjAC2MvsGcEhIyJ49e/R0p0uXzt3dXYO50aNHL1myZNWqVdGPeTbO8xwZGckTlywIYItL9gDOkiWLMaCRihUrzpo1KzAw0Lw6miSdBAsJS8YAfkza7BufgYzHoQDWrtNc6555JlWqVM2bN9+0aVPsyk1qAGs/q1bMnj27p6fn8OHDT5w4oefr6NGjupE0adJoyGcEgFb8SpUqNWzYUEOCDz/8UCt+fKdeTxba/muDo/usO6aSz5o1q8aBGrKOHz9+48aNGhZeuXIl+tFkzje6sODxz6IArl69urnUPvOM9h29e/c+cOCA8QFykQ8IYOdBACcZAWxl9gpg7bw1RP7uu+9y586dIUOG0qVLf/HFF3PnztVgTrvwffv2Gcc8axfFeZ6THQFscZYKYEmXLl2TJk22bt0a452BBLAdPY0BrDHD9u3bx4wZM3jw4FWrVkV/5QdJFSOADdoA9u/f/9SpU9FHZUkN4KCgIGWtWnfGjBnRFyrtixs1aqTSnjp1qi5qNKV0MT7Tq0KFCvq5cR4I/X+novrnH691z3WXHDMM04/Wb7127dq+ffsq13PmzOnu7l6iRIlmzZqphLU0Ku+1HIaHh+s3dbKRoTXP/xwjgOXZZ58tXrz4hAkTLl/8O+Le/b5/Pmi/lQB2BgRwkhHAVmaXAA4LC1u6dKn2RpkyZVIAt2/ffvLkyZqyYcOGXbt2aevm5+enfZIWMOOYZ56v5EUAIwGxA1hSpkypsaYGnWfOnNF415iTALajpy6AQ0JCBg4cmD17djc3t+eee07LTJs2bZL9vaNPrzgDWNKlS1emTJnp06ffuHHDNmeSAlhZqMpt0KBB7NNrrVu3TsU7bNgwfa223LRpk2Imffr0TZo0OXv2bOwlMCIiQltjLaLRT6CldJkzZ44jz5ulIYTugAYVmzdv/vrrr6tVq6blMFu2bIUKFWrcuPHo0aP1KxujDi2l+r2MUQcDjychdgAbMmTI8Hadt379Y+WnW8I7bnvwyd4Hbf64QgA/1QjgJCOArezxA9g4u4ynp6e2d3Xq1Bk+fPi8efPWrl27bds2XeXr63vhwoXr169zzLN1EMBIQJwBbNA6rkibNGmShpWac9myZQSwvTxdAaz7Nnny5MyZM5tLRpS0adN+9tlntk5DksQXwAYPDw+NeTZu3Kg5tRvV45z4AP7f//6nW7B9cnV0d+7cOXHihIYB+lpxq5utX7/+lClTSpcuPWvWLGOe6LQR1ihRO3rt1s1JDx706NEjb968Ck7zsmMpvI13Lw8ePLhmzZp6oLJmzaoSVvBrNLJlyxbdVT1Q2mRpZKsH2eJ/V3rqxBfAkiLFM7m8vF5876Mms48qgNuuvJa9fB0C+OlFACfZ0KFDCWDLepwAvnjxYr9+/bQbTp06ddmyZXv37j1t2rRVq1Zt3rx53759Pj4+AQEB2l9qx8Mxz5bydAXw559/vmHDhiNHjiRytIfHNGfOnPgC2JAzZ86GDRtqLP7bb7/pawLYLmwBvGLFCu3XNGq38n4tMDCwRIkS5gIRTaZMmdasWWPOhKTQLjKBADYUK1asT58+2hj26tVLA/fEbBKVtZ9++mnGjBmXLl1qToqH4lDrsra6+pbp06fv3LnTvCKay5cvKzLLlCkT/aQAxmeDPeYHmz0+jWBPnjypnYVS/5133vHy8tLSWKRIEZWwRqHaXt24cUMPMkMR+zp//nx8AWx4NnW6HMXKv/LpmA9+9vGoVI8AfnoRwEk2evTodu3amRfsgQC2o0cLYO0p1braEaZNm1YjYO3/xo0bt3z5cu17tNfU5sw4+ujmzZvalbK/sZqnK4C//vrrPXv2+Pv7syA5xpIlS9zd3c3BS/w0btAWQEPM1atXm9+Jx6C1snz58hq4b968WeP46IeYWpDuZIoUKcxF4Z9GjRplzoQk0jbZfBDj99xzz1WpUkUb8FKlStk+fysBmqdZs2a5cuWyne05AdrG3ok6Z3tkZKT28sbE6IKCgrSIVqpU6dy5c+akBw86duyoe5XIj/tyAN153RkV78SJEz/88MM0adJoP1K2bFndc7WxVjRzPthDSEiIdgTm0hm/dFlyeJV/M022PM0+aGp+50Pe3t7JG8DRD2cQAjg+LhfA2oIobx6HNtP9+/c3b84eCGA7eoQAVuV27tw5W7Zs6dKlq1Wr1sCBA5cuXbpu3bpt27YdOHDg1KlTtmOetQflqbGgpyWAly1b5uHhoZVdi1m9evU++OADc5uCJ+nVV1/VkNEctsQvZcqUVatWVSqvWrXKfMLwGLRW6pFXqNSoUUMj9caNG7dq1cp8SqxHDRZfAJcoUUIDCXM+JJqe7iJFipgPYoJy5sypnEtkAF+7dk1bzty5c2/ZssWc9BieigA2BAYGzpo16+233zYftWeeyZo1qxZarWXmIw570JbK09PTfIgTlLVgybTPF272QRPzGXro+PHjCuA4jzh40hYuXKgAvnLlink5CgEcHwI4ybp163bw4EHz5uyBALajJAWwj4/P8OHD9eBrW1a6dOnu3bvPnTt39erVtvM8G8c8G+d55kmxLAIYCUhMANesWXPSpElTpkzhEGh7IYBdXGICOFu2bJpz0aJFH3/8sTaMiTkEOiQkRIGqb7TLH6osHsDh4eG7d++eOnVq7969X3/9de0+9ItrTNu8efM+ffpMmzatS5cubdu2tfKa9dRJTABn8ipc+sPedYYvy/5y3Q8axRxtahSqjUay/CH1p59+qlChQoyDXgng+HAIdPIjgO0okQGs3Z52uu+++662Zblz5/7www8nT56sge+6detsxzzrpoKDg41jnnlGHE+P//Lly0+cOGFejt/TEsAcAp0sEj4EumTJkt27dz98+LDm1BaYk2DZi9ZKDoF2cQkcAp06deqqVauOGTPGOMdYjx49EnkSrLt37w4ePFjfPnPmTHNSNNqoaie+b9++OA94js2aAXzlypVdu3bNmzfv888/r1ixYrp06dKkSVOgQIFatWqpexcuXKgVyjgdifkNsJ+ED4HOnMU9/yvvvjFgbpcdDzqsC4vzJFh37typU6dOv379zMuOooW/U6dOrVq1Mi8/RADHhwBOfgSwHf1rAIeHhys/Pv30Uzc3tyxZstSoUWP48OFLly5dvXr11q1bDx48aDvmOSwsjPM8JyM9FxpAN2rUaM2aNTEO6Ynh6QpgToLlYHPiOQmWp6dnvXr1VqxYYc7HxyDZldZKToLlyozhuPk4/lPRokW1ufbx8THm1H42SR+DpA2pbqRnz57m5Wj0PHp5eWk0Zbz191/FGcBKCAWn4wNYYz+tKRqN9OjRo2TJkmnTps2QIUP+/Pk1Svnkk08mTZqkVWnz5s27d+/W7uPs2bPGpyJxeJp9xXcSrNSpU5cv+1L/bwd3WXm5y+4HH++J93OAZfLkyWXLltWTFRERYU56wrQkLF68uEyZMtqLmZMeIoDjQwAnPwLYjhIOYH9////973/58uVLnz69HvPevXv/8ssvy5cv37hxo3GeZ+0+1Vq2nQpPRDI6evRo6dKltePJli3bF198oYvx7UuergDmY5AcLPbHILm5uWmg8OOPP8b4qE8C2I5sAazHk49BckF34/oYJK1fCs5169aZM0XR3jZJAXz8+PGCBQtqm6+xkznpIeMTkpo3b25e/jfa3devX183Ff1Dj2rXrq0bOXPmjHn5SdKjdPHiRf1G6t6OHTsWKVJES522Vxql1KxZUw+LFsslS5ZolKIHbevWrarfQ4cOnTx5UsVujFU0vrXymvXU0QMbO4C9vLzat29/7Ij3nQcP+u570H7Lg667Egrg69evN2rU6LXXXvvhhx8WPmGLFi3S/8OHD9f2tkuXLrGPfSCA40MAJz8C2I7iC2CNdFetWlWtWrUMGTJ4enq2bNly0qRJ2q8oRXbt2hXjmGdtQXgKkp2KV5Vi7H5Sp05dqlSpn376Sbv82E8NAYwERA/gZ5991sPDo0ePHqdOnYqMjDTneIgAtqOnK4BFLfHtt99q8VCBpEqVyt3dvU2bNgEBAebVSKIYAZwuXbqSJUtOnTo19pmukhrAWpCGDBmi50i3r/GSdtm6hdDQ0B07duTJk0cre+JP5K5RosIme/bsGh7oDmubsHPnzgIFCmhDET2J7U53+MaNG/7+/gsWLFCu6ydmjqKwV3736dNH3Ttv3jztMmzde+DAAY0VfX19VWiXL1/Wt+tX1uA2dvDgccQIYDc3N13URiwsLEzXap/Re/eDdpv/JYAlMDCwa9euRYsWzZ07t/r5idKP0Mr1+eefx7kGEcDxIYCTHwFsR7EDWDtLpZSGMhraqn5r1qw5bNiwX375Zc2aNTHO88wxz5YSPYANGtkYrx7E2OUTwEjArFmzMmbMqOUnderU2sxu2rQpODjYvO6fLBjA2hw96W58Qlu8py6ARWMG7YKbNWtWrly5zZs3KzPMK5B02kp37NjR2HSrMDU6P378eJyDsaQGsKhOFYrPPfdctWrVFMNTpkzp1atXvnz5UqRIoS90g+Z8/0YL/6RJk5S7GjYsXLhwxowZr732mnY02mJoATZnsh+tArpvZ8+e1R3WtqhQoULa4GTKlEndq13bF198MWHChLlz5y5btmzjxo3bt2/fs2fPwYMHtSvUKCUgIMDoXg1UjO7VrTFcsTsFsBYqLbRaKgoXLjx+/Pjo267wuw967UpUAIuWZz13a9eu1dh+1ROjG9eI4sSJE/Ht1wjg+BDAyY8AtqMYAays1d5Re9Y0adLo/549e/7000/GG2n27t3r4+OjnYrtmGfrj89cSuwANhQoUKBbt24aS5nzEcBI0MyZMzVQLlmy5PTp0/39/c2pcbFUAGsvoA3U/Pnzf/nll3379gUGBmpMrC2VebWdaKOnAZ/G2dr1iL7w9vbWrtO8+jE8jQFsGDt2bOPGjc0LeFQqtLZt26pI9WBqi5fA5u4RAlgOHTrUsmXLtGnTKlazZctmfKGG1BjAnCNxtPw3bdpUexZPT0+F+gcffGD8ufzkyZPmHHai1XnMmDH169fXb6oflCFDBvWVLmqPMG7cuDlz5hgjkx07dhjda7zeqxU/KCjIeL3XGKUwPnyitDxUrlxZi1OPHj204Ypx9r4kBbBFEMDxcYkATvyfA5OFNosK4AYNGmjzp/WNAH4c2vnVqFGjWbNm+nrx4sW1a9d2c3PTzqx58+ba96hANmzYsHPnTg3yzpw5o5lv3rxpnOfZ+HZYR3wBLOnSpatSpYqeUONoOj8/vwQC+MqVK1OnTt22bZt5OfkQwMli9erVI0aM0Fr/r8cKWieANfxt165d6dKl33nnnfbt27/22mvakbVu3TpJhZAY2vRpp/Pxxx+XK1eufPnyGo4rKqpXr96lSxftmMyZHsnTG8ATJkww9iB4HJGRkXokp0yZ8q9nk3q0AJaAgACNmv73v/99/fXXakjt3B9to6pldebMmbqRiRMnnjp1SjsU3ZS9/tikmh0yZMj777+v3VmWLFnUvUWLFtXFvn37ahc2d+7cNWvWbN26NXr36v4ow9S9wcHBdK+DaQQ+fPjwBQsWxPmXFALYmThzAGv7pQDW0MG8bFXa2CmAGzdurG3u4cOHtdaxpXtkevTq1atXokQJDely586dPn36WrVqDRgwYNGiRcZ7aYxjnjUa45hni0sggA0eHh5NmzbV8PrkyZMVKlT45JNPzO/8Jw2SNJqfM2eOeTn5EMDJ4sqVKzH+ih8fiwSwBsSVK1fWotKnT59ly5Zt3rz5iy++0ALfoEGDxL82q83a5cuX1R7/ehpSzTZ48GDdvn6iKmLJkiX9+vXLmTOnMtj4dKhH8/QGsILqgw8+MC/gUenpVkuYFxL0yAFs868LeWLY8VDB8PBwbeQHDhyoBUl7MUWvhiIalqh7e/bs+f3332tAovHeli1bYnSvVhN1782bNzU40cNy1xqnI9E9ifPsGwnTsz9ixIgknURdj8PXX39t99feDSqCqVOnxvnpWdHpuYszfQ0EsDNx8gBu06aNu7u7RsY9evTQFvazzz7TF/rfOvr27atKd3Nz013VdvDEiRPa/JFkj0yPXuPGjTWYS5EiRbVq1fr37z937tzVq1dv2rRp79692sdwzPPTQrtPDaD/r3QTVKpUKa07Gq9r1Ta/85/UmWpOxad5OfkQwBZnhQA+cuRI+fLl06VLpwyz7QgU8C+99JJ2FrFP3BUfbdx++eWXzp07J3zUt2HGjBlald577z3bJlHDdE3RtjS+95X9KwIYifT4AWwRly9fXrFihaqvbdu2+nXSpk2r7i1ZsmT9+vW1Qmm5Mo5B27x5s/H+3kOHDvn4+Jw5c8boXq1rRvdqTbHOIFA1+M0332gQldS7dPjw4dy5c3/++efm5UQwNkSrVq0yL9uVnp2qVavWqVPHvPxICGBn4swBrE3JkCFDChQooAbOlClThgwZnnvuOW2SLCVNmjS6Yxq+K9W0vfDz87t+/ToB/MguXrzYoUOHihUr9urVS5lx4MABpe+OHTvUG9GPebbIH1Zd07lz53744YfB/6Z79+5aL/6vcf9N4cKFs2bNqhGG+QOi6CnW8GLfvn0rV65s0aLFsGHD9u/fv2vXLi0h5hwORwBbXJIC+MaNG8Yx1dqS2Gt7EhIS0rJlSy3SsQ9nUCEsXrxYX6iBbZ/epE1ZfC9u6y599dVXuXLl0pJmToqHbq1Lly76odpmmpMePNDKkjdv3hQpUmiYbky5deuWbYnVGF131fj140MAI5Ge9gA+e/asulc7tTZt2mjAmSpVKg04jfe1Gedz1rXa5msosm3bthjde+XKFXVveHi41mtLda+NVt7s2bNPnz7dvJxo+jWTGsAasGkk/IReAQ4KCiKACeDonDmAtUHZu3fvtGnTfvzxx1GjRmlI/cUXX/Tu3VubJOvQ/dG9+uabbzT2On78uDaIGo7QZo9Me9AFCxasXbtWrXvq1KkjR44cPnxY21PO82wdS5cuTZcunXZFCStfvrybm1tU4cZL+1eNOaZOnVq2bNlu3bqZPyCKhhQKAI2rOnbsWK5cubp162p836FDB41CzDkcjgC2uEQGsK+v76xZs7Td3rJliy5qw/L9998vWbIkRuBpXHsxirZFMWhzpGtjB+HmzZtTpkypMbT605z0kIahAQEBGkCPGzdu5MiR6k9/f/8vv/xy0qRJcR7/qTodOHBgkSJFjh49ak6Kh272pZdeSps2rfaV5qSovNdErWI//fSTRurz58/XTmrRokW6SuNI7VJnz55t6/A4EcBIpKcxgLV+aYCxYcMGrYDNmjXz8vJ69tlns2bNWrJkyffee0/Vp02EunfNmjWaJ87u1erzRLv377//VplrzGNefkgPstbNy9HOcK6fru2JcQS47pjuoe2tFnpqVq5c6enpqZVCE4059btrurYb+tqYTfTj9I3RDxjR0Ctv3rzaTpqXY9FmUPdEmxrzcpQYD4V+hJ+fn7Fg6Hcxfh3dVeMeatOn3zHOP2prM2t8ZJTtBrXhev31199++23j4qMhgJ2JMwewlnutLRplah04ceLEgQMHtBnauHGjRsDWYZzsXltG1a8GNNoqhYaGxtgEIPH00Gmnok2qHkltXrWnMU4moc2oNtnW/Aurq5k7d+67775rXoif1lllrRG6sWXMmLFy5cpTpkzRcxoYGBj7JFjaR2qMPnny5BEjRtSsWbNTp04ayiseHudtjY+JALa4RAbwsmXL2rZtmy5duoYNG2osqJFf8eLFX331VW1hzDmiaPHTUiedY2nfvr2Wxhgv3mow16tXLy3bdevWNSf9k3ZnKt6KFStmy5ZNS/7w4cMLFy7coUMH41RwsQ0ZMqRo0aL/egoi7RlTp06tOffu3WtOivr7Ubly5XRnVNHLly/XsF5f6yfqqrVr17q5uX344YcEMOziKQpgrbNasHfv3j1x4kTtxbS5SJMmTfbs2V988cVGjRp9/fXX2rtpO79q1Sqje7VOaY+j0Z3RvRqKGN1rjEbMG7U342WArl27ajujdVYBaUzXPlEDzt69e7do0aJbt26rV6/WPdF0bXl+/fXX+fPn79q1q0ePHlr4v/32W+W9rtL/H330kdb32rVra5Ol7NQtL126VBs3zaZfVvNouLVw4ULN1rJlS22gtD35vx+WYADrYdTtfPzxx23atNEM+rnGxlO7xe+++06PlTHbsWPHBg0aZNysNjva6GnXqem65QkTJmir8sMPP7Rq1UpbVD3gtr8D6v4sXrxYS5Suateu3fTp041dLQFMAMfg5AGsFV6bmytXrqiCtNk6evSot7e31jHr0P3RSq4VXvdQzaZ7a/wdDo9GT7q2pBopaktto628xqmkr0X88ssv9erVMy/ET4OGOAM4VapUxm41ICDAmFM7+DjPAq0Rhmg27dS1uzUuJuNiQABbXCIDWBsTDbZq1qyZJUsW7VY0ZdiwYTVq1DCutdFAM2fOnLniouka/EV/tUS0nzLO+qaRqzkpFm3clKNp06ZVr2qp1u5DC79tkdYX2typhzUE1NKldaRQoUIarOuiaFgce+eib9GqoR/65ptvah5zalS+FitWTNNHjx6tvZKGmBrlG+/NGzlypKarro0540MAI5GsH8AhISFagJV2Wh20pmfNmtX47CXtdz788EOtC3PmzFEWrly50nhJY9++fVo3tQvT6qlv1KqtFVPDEqN7n+g+SD9C+ar7po1JrVq1PDw8tLfV1kA/VDug/Pnz58uXT9P1aOuqWbNm6Vt039q2batNirZp+q5KlSplypSpadOm2pJo6/HKK69on5s7d25tly5cuNCwYUPNqdm0EdOzpkdGyaofV6pUKX27Nm6lS5c23jehRyDOANYjMHPmTO0Kdcvvvvuublk3uCnqyCyNDTJnzmxUbmBgoDZKupPVq1fXSODFF1/Ut/Tr109X/fzzz4ULF9YTobuhG/H09NQPUiHrKm2ZtTV2d3evUKFCgwYN9F3p06fXFP36ehAIYAI4OmcOYDFGKlpFtWvXNujSpUvGMWmWonulNVODId1P3VvdZ/Pe45Fo86rHMLonur9BUmknl5hXgOM8C7R2Ztox79y50zgUyqChdpwBbPj7778/++yzhQsXmpeTDwFscUl6D7BGvRoEG6+BTJkyRWNBY7rNyZMnt2zZsjUuGu35+PhE/vOMVufOndO489lnnx08eLA5KS4aUms8qoHm5s2bzUkPaeyroV6nTp20LiiwNQTUaLJZs2bdunX75JNP2rVrZxyzHV14eLgWSK1ZHTt2NCdF0TjeeAe+FlrtmDQGVQ8bu6r69eunSJHiX1coAhiJZNkA1njs5s2bWnoHDhz46quvauudJUsWoy1btmw5fPjwGTNmLFq0SN1rfH6v5jRe7z179qz2O1pZ9O1G9zpsELJt27YCBQpoL6n7EBQUNH78+OzZs2szpftTrVo1BaG2PxoMq04rV66sjNRmRxsBZbxW6p49e2pEevny5c6dO6dOnVqbqdu3by9fvlybgrFjx+rZ0bXKzpQpU3755Zf6lU+dOqV5VNTvv/++vtaP08xKVuN0etrHxRnA6uoqVarUrVtXj49G5suWLdNW95tvvtFVKtvnnnvOCGBtYDVdm1bd7IkTJ4yTm/bv319XzZkzJ0OGDOXKldu1a5furbbbGhjoPusqDRtU4Pr19Xvpxs+cOaPNoH5r/Y4aYxPABHB0Th7Aou2OaG20MavIGsz7FMW4q+b9BpzUIwdwpUqV5s2bp32wOcdDCQewdoTarxPA+FdJCmAloru7u5Y6jSw///xzDePMKx6Vylb1q5HcTz/9ZE6Ki4aDGlaqFjSKNSc9pEGeBrUaQbq5uel2NITVoNZ2MV26dJMnTzZnfUi39sYbb6RNm3bcuHHmpCga7yqz9Who9dE8CmmNnjV98eLFusHixYtHP146TgQwEsmCAaxqVeD17t37lVde0eqWKVMmda+Kq127dsOGDZs6dap2KGvXrt2yZYsabN++fepeHx8frcIXLlzQht047sx4f695i44yYMAAbZdU48ZF7S579eq1Zs2aVatWKVxHjhxpTBdlZNasWfW/7m2TJk0KFiyovZJx1dKlS7X6K0f19Z49e/LkyWN8fenSpddee02FaTtKWZs+bVuM129FY1o9lblz5z5y5IgekDgDWBsuJbpC1BjuqrHXrVtn/GiFuh5q40972t0rtiMeHtj866+/6v5/9dVX+lr3OWPGjLbfRYuNNjXGMTi6Y99+++327duNq6Rbt27Zs2e/efMmAUwAx+D8AQzAUh4hgL28vIYMGaJ9qvav5tXRJBzA2oNqhsvRzvmRXAhgi0tSAGsYp8WyQoUKGly2bNlSg0jzioe0nH/88ceffPKJRmAxdOzYccaMGTHeA6xE1E9XXsbO1Oi0XmTIkEGjVW9vb3PSQxpt7969W6NJ0b1q06aN7qFy2piipS4wMNCc9SGtGspjzRb99WTdsbp162q969OnjwapGuJrNKy7remtWrXS9AYNGqiKzbnjQQAjkawTwCEhIcuXL9edqVq1aqFChbRqqJ20jqt7lVWTJk1avHix1qNt27bt3LnT6N4TJ06oe22v9xrdm4yvZChlixYtGv3PxNr3aev0/fff215cNehu58uXT5F//fr1Ro0aVaxY0baGbty4MXPmzMZZ8bZu3aqgNc4CrQCuXLly9JMUNGzYsHjx4lq7zctR8azvXbJkycmTJ+MMYD1E7du3151Rsn7zzTeKVdvDZQtgxWrOf360oXI6f/78ffv21dcKYM2mbZpxlWbWXTL+QqdlSc+CFiR1+4IFC/Ss6e5lyZJF8wgBTABHRwADcKhEBrByV0OQZ599tlOnThrNxw4Mm4QD2DoIYItLUgDfvXv3jTfe0DCuRYsWU6ZMMadGo9FbtmzZNIDWkx6Dvuujjz6K/p5b0UWNCFOkSGG8ymGjJV9TjPNCa6TYs2dPDSvd3d0XLVqk8XoCH/P73XffafB37tw583JcNIhU0JYrVy7668kaK6dOnVr5apwIZ8KECfpxCukdO3ZolKz5u3fvfvbsWY2GjfnjRAAjkZI9gLUkz5s3T3uQWrVqqbK0emrNrVKlirr366+/Vvdq070p6kOMjO719vZW9xrHOes+G91rHNBn3mLy0RpXqVKl2H/wVWoqKY135xq0YSlcuHDnzp31KyiA9fuaVzx4sGHDhqxZsxqHosQIYN14gwYNoub6v81RnTp1qlevHr23FbRubm4zZ87U1iPOABbVbJcuXbSx1XamWLFirVq1MrZvP//8s8pWD3VgYKC2k8pXY37Ro63NlHJdXxsBbHtDhwJeWau4NS7qzute6VfT/ApjbQO1ESaACeDYCGAADpXIANYI47PPPvvhhx9iv2wVAwEMu0hSAGuw261bN9VgiRIlYh+NLLt27Zo9e7bGahrVxaDRpIaJMU5JFRkZOWPGDN1g+fLlbUcYasT5ySefNGzYcPfu3Roj6hv19dChQ9XJbdq00e1HP9gvOg3HE/MxSLop/cT69esbFzVm1XdlzJixZMmSximvdK86duyoEfCYMWP69eunrzW/BpFz585NeAEmgJFIyRXAJ0+eVKf16tXrnXfe8fLySpUqlUrp1Vdf1ZqlXJw2bZpWAVv3ahk2utff39/oXuOkLcbrvWLeaHJT8lWoUMH2xymtdPpa7ac1XVVvOzRatNUqVKiQHnnjFeDoAaw9lPE3L32dcADrodOUCxcuGFNE/ak6nT9/fnyvABtu3ry5bNky3auaNWtqk9KpUydNWbBggfEKcFBQkPaV0T9DWJsmbWn79Omjr40Ath20ovuv39oI4MOHD5cuXVr1++WXXxpnjVbh66Y0DwFMAMdAAANwqEQG8I0bN86ePWteSBABDLtIUgDL+PHj06VLF/1lisekZb5du3bqTw0KdbMahXfo0EFjU1Xur7/+WrlyZQ1SdfeUxxqp60d//fXX8b0CrAAeMGBAgQIFjhw5Yk76J80wa9asPHnyaPSZK1cuxa2Gm/pxZcuW1QB35cqVxmwa4hunn6lTp456e9y4cfpaq9vq1auNGeJDACORHBnAarZDhw6poLTAq5rUhClTpvT09NSa1bp164EDB/78889r167duHHjli1bjPNaaVutljO6VxvtW7duaaXQ6mOd6I1Oq7B61fZXY91VpaDydd68eVpz1aXGdFFAanP3ww8/qDwbNmyYcAAbZ/uLEcDSvn17PYZ6fMzLDx6MGjVKN7tnz57jx4/HGcBqUd0fHx8f46Kfn5+eiIIFC2qLoa2cUbaRkZHFixdXXRvziCbqKv0u+jqBAB47dqx+TSPXDdqiZsmSRZtWApgAjoEABuBQiQzgxCOAYRdJDWAN9TTwsu+o/fLly8ra6tWrlytX7rXXXtNw1ngJd/ny5RoOGieI1qB2xIgRzZs3T+BMVBqgDxky5MUXX7QNNGPQEPO7775r0qRJixYtPvzww/fff79Vq1YarSoAoh8/qdvRlHr16qnGFSoadOpblIj/+nF9BDASyQEBrGrVQrho0SItxqqgzJkzP/vss15eXqq+Nm3aDB06dMGCBepebZm1hEfv3oCAgIsXLxqv92qZN17vNW/UkrR7dXNz06qtO6yLK1eu1C87YMAAX1/fXLlyaXtl/FlZKasNiNr14MGD4eHh7733XnwBvHv3bg8PDz1uCkhtGWIEsDYOqVOn7tevnypUFw8fPqx9seZRVGvDFWcAnzt3Lk+ePEpuYw+o+6mNj7ZUepyXLFmist24caOm9+nTR/dcz4vuqp6L1q1bq2x1N3RVAgE8fPhwzaaQNq7avn279rnp06c3AljbVQKYALYhgAE4FAFMAFtTkgJYRde2bVs9p+Zlu9KA+9ChQ7ZPujbEOGmW0tT8Ki4apmtAP2zYsOhvz3tkxmA6SQhgJNKTC2BtY7UerVix4uuvvzZOkJ4uXTp17yuvvNK+fftRo0apuHSt1pRNmzbFeL3X1r2245zNG7W2K1euqCeVrF9++eX333+v37RChQrqUl01ePBgpWDjxo0nTZrUqVMnzdO1a1f9amFhYTVr1ixVqpRxC7J69epnn312woQJ+lrBXLBgQaXskCFDAgMDjc/7NWaToKCgpk2bZsmS5bPPPhs/frzyMmfOnBMnTtRVeuQ1PfqJrAx6PLt166b21i57+vTpn3zyiXaLRtnOnj1b+Wq8+ULPQsWKFfPly9exY0f9RoULF9adV8nrqmnTpmk27Ub/7+aitpbVqlUrX768vl63bp224W+88cbcuXN1/+vXr1+gQIFUqVLpEdBseiiMTn5kBLAzIYABOBQBTABbU2IC+Pbt297e3hpOafQ8cODA8PBw8wr8EwGMRLJ7AKvKlE/K2t69e5cuXVrhlClTJnVv1apVu3Tpok5buHDhsmXL1qxZs3nz5l27du3fv//IkSOnTp2K3r2213uflvS10c5FlavwE5WhCt+Yrj3OF198oZJUVRYpUkRpapzLXb+sirRFixbGbKLHROW8ZMkSfa1fXy1dtGhR49Xjli1bamZjNoOPj0/z5s0VybrZMmXK6OE11nQ9BUplRbgxW3TaGnTo0MG4J/pf98T4O522FZUqVdJPN2bT86JfpGTJkvp/zJgxmrNfv36arudOs+3bt8+Y7ebNmx999FHbtm31tZal0aNH694av6MWAO12a9WqpaQ33mCi5je+69EQwM6EAAbgUAQwAWxNiQngwMBAjSmLFy+ukXT0U78gBgIYiWSXAL57964KR4vZ8uXLO3fuXKJECUVv5syZc+fO/cYbb6jZfvzxx3nz5mkdVxhv2bJl9+7dBw4ciN69169fDw0Nfbpe742PfpHDhw/rF9QvFf130UN95syZnTt36n/buxg0g37r6H/L04OpW9DjYFzUnNruXbp0SauwZtPMxnQbTdQjuWfPnr///tt2ZIpmDgsLs/2UGPQt2kTonujxt82jn6ifq1sQ7SKNW9ONaLrm9PDw+O6776LPZnyX7r9uTYyLmq5QN35H3VVdq1vQLx5jtkdDADsTAhiAQxHABLA1JSaANfDSM9i9e3dfX19zEuJCACORHieAVTXKJ+XrwoULW7VqVbx4cWVSxowZ8+TJU6NGjR49eujZnD17tlZtbXW3bdumSFMWHj16VN1lRJ2yWSu1SskWVEh2ejq0DjZo0MDWxmPHjtXTarwonYwIYGdCAANwqCcUwDGOy7Kg5cuXE8BWlpgAlitRzAuIBwGMRHrkAFbBTp06tWnTpi+++KKnp2eGDBny5s1bu3btXr16jRkzZtasWcuWLdu0adP27duN7jVe7w0ICFD3Xr9+3TjOWd2rijZvEdagbcWwYcPSpEmjJ3fUqFGffPJJ9uzZmzRpYpxqKxkRwM6EAAbgUK78CrCHh8fXX3+9bdu248ePJ/u+HDEkMoCRGAQwEimpAXz06NFx48Z9+OGHFSpU0AqbPn36fPny1a1b97PPPhs5cqS6d9WqVZs3b1b3Gsc5a35fX1/V8uXLl43jnOle6wsKClIDV6tWrUqUrl27xndCe0cigJ0JAQzAoewewBrcVKxYMU+ePE2bNm3SpEnjxo31v9VouFapUqVnn31WQ7T9+/crD4KDg81fANZAANsRAYxESmQAq2a18WzdurU2pFmyZEmXLl2BAgXefvvt7t27f/fdd9qtGG/ujdG9586dU/caxznrB9G9T5GwsLCdO3cuW7Zsw4YN0T+bLRkRwM6EAAbgUHYPYI2tu3XrVrx4cS8vL09PTzWMhkdWkzlzZt23kiVLzpkzRyOzwMDAR/hoGTxRBLAdEcBIpAQCWBvJjRs3jh49ulOnTlqc3Nzc0qRJU6RIkbp16/7nP//R9CVLlqiONm/evG3bthjdGxQUZOteLXt0Lx4fAexMCGAADmX3ANYQZ+fOnQsWLJg9e/akSZPGjh07ePDgb61nxIgRP/74owZqGp9dvHgxLCzM/AVgDQSwHRHASCQFavfu3UuWLGk7Q682j+vXr584ceLHH3/84osvpk2bNl26dEWLFq1Tp063bt1++OGHZcuWrVu3Tm28detWde/BgwePHTumRc72eq9x4l9e74V9EcDOhAAG4FB2D2ANrDVyMj4D4+TJk4cOHVIPqzO3W4nujzJAozTj1Ylr167F/jAJJC8C2I4IYCSSSrVHjx7FihU7fPiwtpMzZ840PiQ2ZcqUmTJlMj6BVjNMnjx5+fLla9as2bBhQ/TuPXPmjNG9wcHB2hEY7+81bxqwKwLYmRDAABzqSQSwYlKjH42BAgMDNfLWqOio9SjOz549+/fff1+9ejUkJMT2KYuwCALYjghgJJICuG/fvmrd9957T92bLl26bNmyqXu1m9D0GTNmaMVcuXLlunXrYr/eGxQUpC1/WNTnzT4tCxieXk9jAK/ftJkAjhMBDMCh7B7A9+/fv3v3rho4NDRUg6Hr169rVGRB6t4bN24ofY3D8xiuWQ0BbEcEMBIpMjJy4MCBCmBPT08tM23atBk8eLC6d8mSJVp4NmzYsG3btr179x46dMjHx8foXuP1XtuGlOOc4RgxAjhb2beaN2loXmdVm7dtz5snNwEcGwEMwKHsHsA2GgY9Fcy7C4shgO2IAEYiKWIXL1787bff/vrrr2rdTZs2rVu3Tt27Y8cOW/caxzlfuXLl5s2b/AERySVGAOcoX/vd2jXPnws8HxgYGOBvwX9Bly7+PHeuZ47shTuMJoBjIIABONSTC2DgcRgBvHLlSvMyHsPZs2crVKhAAONf3b9//+rVqwEBAVpI/P39jx8/fjCK0b2aSPfCIv4RwH8EFX7zA7f06Qv9n4KFClrxX+HChXPmzJky5bOlu0+qt+RKo9+vD9odRgAbCGAADkUAw5p+//13BfCyZcuMi8bL9XgEevROnjxZpkwZrekbN2709vb++++/CWDE5+7du+pbZfDFixeNDLa93hseHh4ZGamFx1iugGRkC+CPdj5ou/rma70meVVr4v7yu5nKve32Uu10L9ZM++Kb1vpX8s2MZes8/2rD14atfv/Xq02WBw/eG04AGwhgAA5FAMOalL7u7u4vvfTS22+/XSdKXTySevXqVa1aNV26dB9++OGePXtOnDgRFBREACM+SlyFrho4NIrtRAlELyzFFsBdtj3ouOnuB4vP15v+V53JB2uM31t17I5KwzdWHLbBav9eGbnl9e93vD3nTOPfrn6w4taQfbcJYAMBDMChCGBY065du957770SJUrkz58/T548OXPmzIFHkj179ly5chUrVmzAgAHe3t5+fn7Xrl17WmKGAHY8LRv3ougLG/M6wDJsAdx564NOWx603/Kg9cZ7zVZHNF5+q/7Sq3XnX6wz72+r/Xtn4eX3f7vR6LdrHywPbr46bNi+SALYQAADcCgCGNZ0+fLlzZs3L126VIvotGnTfvjhhxF4JMOHDx89evT48eNXr1594sSJ8+fP37x582lJGgIYQJwUwD12Pmiz6UHHLfp3v+2GyJZrwputvNVk2fX3l16pv+hivYV/W+1f/cWXGv12tcnyG81WhrZYGzH0TwLYRAADcCgCGNZkeyNiYGCgsu3gwYM78UiM8/cePXr01KlTAQEBQUFBoaGhBDCAp5oCuOfOB203/d/Lv//3CvCmu23W32m1Nrz5ypAP/7ipDG78u+X+NV1+48MVt1qsCm25NqLV+sgRB+4SwAYCGIBDEcCwJgWwOu369esXL15Utvn6+vrgkRw7duzEiRN+fn62U/jevn2bAAbwVLtz78EC3wfTjz+YdeL//s08fn+6z93px+7+dPTO1L9uT/EOt+K/vyJ036YdjZx27O40n3ur/Xl7gYkABuBQBDCs6d69e5GRkREREcrg4ODga9euXcVj0GN469atsLAw1a8eW/NRtjwCGACcHgEMwKEIYACWRQADgNMjgAE4FAEMwLIIYABwegQwAIcigAFYFgEMAE6PAAbgUAQwAMsigAEk0tmzZ5csWTJjxoylS5cGBASYU61E9+rEiRN37twxL+MhAhiAQxHAACyLAAbwr0JDQ8eOHVutWrVcuXJlyZLFy8urevXqmhIREWHOYQHq3m7duvXt2zc4ONichIcIYAAORQADsCwCGEDCbt++PWPGjAwZMnh4eLRo0eLjjz9u1qyZMlhTJk6cGBkZac6X3H766aeMGTPWr1//6tWr5iQ8RAADcCgCGIBlEcAAEubv7//CCy/kzp178eLFxour169fnzdvnnrYy8vr9OnTxmzJKDw8fObMmZ6ens8880zbtm2vXbtmXoGHCGAADkUAA7AsAhhAwvbs2aOw7NKli3n5oY8//jhlypQrVqwwL0dRfJ44ccLX1/fu3bvmpIdCQkJOnjzp4+OjfjYnRbl58+aNGzf0hb732LFj586dM6bHcOXKFV175syZGK85X758efDgwVmzZs2fP7/+b9GiBQEcGwEMwKEIYACWRQADSNjOnTsVwO3atbt//745KcrGjRs//fTTbdu2GRdVvDt27OjVq1fdunXfe++98ePHX7x40bhKjh49OnDgQF1Vu3btPn367N6929axCxYsGDdunG7nv//9r8ZLKtglS5aoio1r5fbt21u2bOnevftbb73VoEGDH374ITAw0LzuwYO1a9d6enq++eabc+bMqVSpUsOGDQng2AhgAA5FAAOwLAIYQMJOnTqVK1cuLy+vRYsWnT9//tatW+YVUYwq1v8bNmwoWrRo9uzZy5YtW7p06fTp03ft2tU4ZPrkyZOvvvpqxowZS5QooWuzZs1avHjxTZs2Rd3Ag9atWxcoUKBMmTIvvPDCG2+8kSdPHnd394kTJ967d0/X6v9ly5ZpBg8Pj5dffrlYsWK6ZdW48aKx7N27d8iQIbpjFy5cKFeu3Pvvv08Ax0YAA3AoAhiAZRHAABJ2586dYcOGKTvd3NzUsV9//bVaNygoKPqhyJcuXapZs6bKdurUqVevXlWOasOSKlWqFStWqGDbt2+fJk2aL774QrPp2gkTJqROnfrtt982XiJWAD/zzDMvvvjijh07rl+/vmvXrsKFC5csWfL48eO61tfXt2rVqurqhQsX6lpVbqdOnTJnzjx+/Pion/xAd+P27dv6IjAwUHVNAMeJAAbgUAQwAMsigAH8qxs3bowePdrLy+vZZ5/NmDHj888/X6ZMGVWx7d2827dvT5kyZYcOHYwWlXXr1pUvX37KlCnq2Pz581erVu3KlSvGVREREZ07d1YeL1myRBfbtm2rANa2yLhWVMj6QePGjdPXM2fO1NfffPONcZWcO3dON6gqjnFI9tmzZwng+BDAAByKAAZgWQQwgMQICQk5ePDgjBkzWrdunTdvXiVr5syZ1a5GA//4449ubm4///yzMbOocpW+Fy5cWLBggbu7+5AhQ8wroixcuFC3MGjQIH2tG0yXLt3hw4eNq8Tb21t53L59e33du3dvzTlr1qyrV6/6+fkFBAQodI0jpaO/E1gI4AQQwAAcigAGYFkEMIAkUXbu2rVrypQpRYoUefbZZ2fPnn379u0vv/wyV65cGzZsMGeKZuzYsUrl+fPnm5ejbNq0KXXq1J999pm+btOmjYr6zJkzxlWirz08PN577z193bFjRwVw0aJFK1SooL4tV65cmTJlMmTIkCVLlr179xrzGwjgBBDAAByKAAZgWQQwgATcuXNny5Ytv/32W4xzX8nChQszZcrUuHHj4ODgvn37enl5aU7zumhGjRqlAF68eLF5OcrWrVvTpk3bo0cPfd26deuSJUv6+fkZV4kCOHfu3EpZfd2qVSvNWadOHXVysyjNmzfv0qVL//79ozezEMAJIIABOBQBDMCyCGAACQgLC+vZs2f58uX3799vTnro/v37xYsXr1y58o0bN4YOHZo9e/bly5eb10WV8+bNm/fs2TNhwoRs2bJNnjzZvCLKunXrUqRIMWDAAH2txM2ZM2f0mvX19c2QIYOm6+tOnTopgFeuXBkaGqqylevXr587d+78+fMRERHG/AYCOAEEMACHIoABWBYBDCABkZGRI0aMeOaZZ7788ktz0kN//fWXp6dno0aNbt++vXTpUs0zbNgw87qoiH311Ve/+uorZbCHh0eLFi3MK6KMGTNG80+ZMkVft2nTJmXKlNu3bzeukhUrVjz77LPffvutvh48eLDmnD59unGV4bvvvtO9IoATjwAG4FAEMADLIoABJMzb21uhmyNHjqlTpx45cuTcuXMBAQH79u1r0qRJunTpZsyYoXnOnDmTM2fO8uXLawZ1qRJ00KBBitiJEyeGhIRUrVo1U6ZMytrg4ODQ0NAdO3aUK1euYMGChw4d0ve2a9dOidu2bVs/P7/w8PDjx49r1JQrV66dO3fq2k2bNmXJkkW3sH//fl1769at3377TfNXq1bNdsZpAwGcAAIYgEMRwAAsiwAGkLA7d+6MGzfOw8MjRYoUStyWLVs2bdo0f/78adKkadiwofHhRmrRkSNHZsyYsUKFCqNGjerdu7fmf/XVV0+fPq1r582b5+XlpUL+8ssvhwwZovpV02r+qJv/vwBOlSpV1qxZW7RooYlvv/22urpnz57Gtfrpffv2TZ8+feXKlYcPHz5gwIC8efPmyZNHGWzMYKMIL1asWJ06da5evWpOwkMEMACHIoABWBYBDOBfhYeHT58+XeH6/PPP58iRQ3GrCu3atau/v785R9RnBffr1y937tyenp5q3ddee23btm3GVffu3ZsyZUqJEiWMqwoWLDhixIiwsDDj2tatW6t+//vf/6qudW2uXLk+/fTT6BF7+fLlXr162W65dOnSM2fOjPEhwBIYGFi7du2OHTvqnpiT8BABDMChCGAAlkUAA0iMO3fuXLx48c8//1y2bNnq1atPnjx58+ZN87qHQkNDjx49+ttvv23YsOHChQvRG/X27duqZX3jqlWr9L0qavOKqJNgZcmS5dChQ35+fn/88cf+/ftjn3E6JCTkyJEjy5cv37hxY0BAgO6MeUU0d+/eDQoKunbtmnrbnISHCGAADkUAA7AsAhiAfcV+bTZhCuDMmTOfOnXKvIwngAAG4FAEMADLIoABJK+WLVtmypTp2LFj5mU8AQQwAIcigAFYFgEMIHk1bdo0ZcqUR44cMS/jCSCAATgUAQzAsghgAMlr1apV48ePN84mjSeEAAbgUAQwAMsigAHA6RHAAByKAAZgWQQwADg9AhiAQxHAACyLAAYAp0cAA3AoAhiAZRHAAOD0CGAADkUAA7AsAhgAnB4BDMChCGAAlkUAA4DTI4ABOBQBDMCyCGAAcHoEMACHIoABWBYBDABOjwAG4FAEMADLIoABwOkRwAAcigAGYFkEMAA4PQIYgEMRwAAsiwAGAKdHAANwKAIYgGURwADg9AhgAA5FAAOwLAIYAJweAQzAoQhgAJZFAAOA0yOAATgUAQzAsghgAHB6BDAAhyKAAVgWAQwATo8ABuBQBDAAyyKAAcDpEcAAHIoABmBZBDAAOD0CGIBDEcAALIsABgCnRwADcCgCGIBlEcAA4PQIYAAORQADsCwCGACcHgEMwKEIYACWRQADgNMjgAE4FAEMwLIIYABwegQwAIcigAFYFgEMAE6PAAbgUAQwAMsigAHA6RHAAByKAAZgWQQwADg9AhiAQxHAACyLAAYAp0cAA3AoAhiAZRHAAOD0CGAADkUAA7AsAhgAnB4BDMChCGAAlkUAA4DTI4ABOBQBDMCyCGAAcHoEMACHIoABWBYBDABOjwAG4FAEMADLIoABwOkRwAAcigAGYFkEMAA4PQIYgEMRwAAsiwAGAKdHAANwKAIYgGURwADg9AhgAA5FAAOwLAIYAJweAQzAoQhgAJZFAAOA0yOAATgUAQzAsghgAHB6BDAAhyKAAVgWAQwATo8ABuBQBDAAyyKAAcDpEcAAHIoABmBZBDAAOD0CGIBDEcAALIsABgCnRwADcCgCGIBlEcAA4PQIYAAORQADsCwCGACcHgEMwKEIYACWRQADgNMjgAE4FAEMwLIIYABwegQwAIcigAFYFgEMAE6PAAbgUAQwAMsigAHA6RHAAByKAAZgWQQwADg9AhiAQxHAACyLAAYAp0cAA3AoAhiAZRHAAOD0CGAADkUAA7AsAhgAnB4BDMChCGAAlkUAA4DTI4ABOBQBDMCyCGAAcHoEMACHIoABWBYBDABOjwAG4FAEMADLIoABwOkRwAAcigAGYFkEMAA4PQIYgEMRwAAsiwAGAKdHAANwKAIYgGURwADg9AhgAA5FAAOwLAIYAJweAQzAoQhgAJZFAAOA0yOAATgUAQzAsghgAHB6BDAAhyKAAVgWAQwATo8ABuBQBDAAyyKAAcDpEcAAHIoABmBZBDAAOD0CGIBDEcAALIsABgCnRwADcCgCGIBlEcAA4PQIYAAORQADsCwCGACcHgEMwKEIYACWRQADgNMjgAE4FAEMwLIIYABwegQwAIcigAFYFgEMAE6PAAbgUAQwAMsigAHA6RHAAByKAAZgWQQwADg9AhiAQxHAACyLAAYAp0cAA3AoAhiAZRHAAOD0CGAADkUAA7AsAhgAnB4BDMChCGAAlkUAA4DTI4ABOBQBDMCyCGAAcHoEMACHIoABWBYBDABOjwAG4FAEMADLIoABwOkRwAAcigAGYFkEMAA4PQIYgEMRwAAsiwAGAKdHAANwKAIYgGURwADg9AhgAA5FAAOwLAIYAJweAQzAoQhgAJZFAAOA0yOAATgUAQzAsghgAHB6BDAAhyKAAVgWAQwATo8ABuBQBDAAyyKAAcDpEcAAHIoABmBZBDAAOD0CGIBDEcAALIsABgCnRwADcCgCGIBlEcAA4PQIYAAORQADsCwCGACcHgEMwKEIYACWRQADgNMjgAE4FAEMwLIIYABwegQwAIcigAFYFgEMAE6PAAbgUAQwAMsigAHA6RHAAByKAAbwyO7fv3/v3j39L+YkuyKAAcDpEcAAHIoABpAkt2/fvnDhwqFDh1atWuXr66uLEhkZaV5tVwQwADg9AhiAQxHAABLj1q1bf//99+HDh6dPn96pU6dcuXKlTp169uzZoaGhISEhamBzPrsigAHA6RHAAByKAAYQn8jISMXtpUuXtm7dOnTo0AYNGhQsWDBHjhyq3/Tp0z/zzDMTJkwICgq6du1aeHi4+T12RQADgNMjgAE4FAEMIIZ79+7dvn377NmzCxYs+Oyzz1577bU8efJkzpxZ/9erV2/EiBF79uzRpsPT03PYsGH+/v4XL15UJ5vfbFcEMAA4PQIYgEMRwABsIiIi9u7dO378+FatWpUpU0aJq+596aWX2rVrN3Xq1O3bt58+fTo0NFRzHj58OF++fP379/fx8VEDBwcHG7dgXwQwADg9AhiAQxHAAM6fP798+fJvvvmmQYMGL7zwgqI3V65cr7/+eu/evX/++eddu3b9/fff5qwP7dixI2/evH369Nm/f/+pU6euX79uXmFXBDAAOD0CGIBDEcCAa7p9+/bBgwdnz57dq1ev2rVrq2azZMlSqFAhNXD//v3nz5/v7e2dwDt7jQD+z3/+s23btqNHj165csW8wq4IYABwegQwAIcigAGXcu7cuY0bN06YMKFLly6VK1f28PDIkSNHmTJlmjVrNmTIkFWrVl24cMGcNUFGAHfu3HndunWHDx++fPmyeYVdEcAA4PQIYAAORQAjed2PjPyrXr3Nzzxj/PvrvffMK2A/ISEhx44dW7ly5ahRoxS6JUqUyJ49e65cuV555ZX27dtPmjRp//799+7dM+dOHCOAO3TosGbNmkOHDhHAAIBHQwADcCgCGMko7MyZ7e7utvo1/m11c7v9ZGrKpdy/f//ixYuHDx9etmzZwIEDa9eunT9/fnd390KFCr3++uu9evVaunTp+fPnzbmTjgAGANgFAQzAoQhgJJd74eG78ub1+/pr8/KDBxemTTMaOPpEJElISMi5c+dUpFq1P/7440qVKnlEKVKkSIMGDUaNGrV79267fGYvAQwAsAsCGIBDEcBILsrdS/PmmRceMhqYA6GT5O7duzdv3rx48eKePXvGjRunYixevHi2bNly5MhRunTpzp07//zzz6dPn75169adO3fM73lsBDAAwC4IYAAORQDDUm5s28YrwIkUGRkZHh5+/vz5P/7444svvnjzzTfz5Mmj7vX09KxVq9aAAQPWrVsXEBBw/fp1zWl+j/0QwAAAuyCAATgUAQxLuTBtGu8B/le3b98+cuTITz/91LFjx/Lly3t5eWXKlKl48eLNmzefMGHCrl27zpw5c/PmTXPuJ4MABgDYBQEMwKEIYFhH2JkzOzw9g/fsMS/jn65du7Z+/frhw4c3atSoVKlS7u7u2bNnr1y5cvfu3efMmaMiDQgIuHv3rjn3E0YAAwDsggAG4FAEMKzA9mFIsd8VDB8fn3nz5vXp06d27dqFChXKlClT/vz569at269fP03fv3//9evXzVkdiAAGANgFAQzAoQhgJK8YnwOsfxwCLVevXlVhTpky5ZNPPqlWrZqnp2e2bNleeOEF1eCgQYN+++03X19fc9ZkQgADAOyCAAbgUAQwLCL6ZwL/Wa7c3dBQ8wqXcffu3VOnTq1evfr7779v27btSy+9lCNHjueff75y5cpt2rQZO3bstm3bbt26Zc6d3AhgAIBdEMAAHIoAhqX49uxpNLDrHAsdFBR0+PDhZcuWDRkypH79+oUKFcqaNWuBAgWqVav2ySefzJ07V1VszmolBDAAwC4IYAAORQDDUu6Fh+/Km1cB7NyfhBQREXHu3LmDBw8uWrSod+/eat1cuXKpe4sUKfLWW28NHDhw/fr1wcHB5tyWRAADAOyCAAbgUAQwrMZ4EdgpA1hNe/78+T///HPKlCmtW7cuVaqUotfT0/OFF17QRU08duzY7du37927Z36DhRHAAAC7IIABOBQBDKu5MG2aMx0CHRkZGRIScvHixU2bNn377bda3fLnz58jRw4PD49XX321T58+y5YtCwwMVBvfuXPH/J6nAQEMALALAhiAQxHAsBrfnj2d4ETQd+/ejYiIOH369Ny5c7t161alSpXcuXNnzpxZ9fv++++PHj1aAXn27NkbN27cv3/f/J6nCgEMALALAhiAQxHAsBTjXNBP9cu/oaGhO3fuHDt27IcffliqVCkPD48sWbKUL1++c+fOM2fO3L17t7o3LCzMnPupRQADAOyCAAbgUAQwkoXt43+jv9j7VNdvQEDAr7/+2q9fv3feead48eKZMmXy8vKqUaPG559/Pm/evD179ly8eNGc1SkQwAAAuyCAATgUAYzkYrzXN/q/p+7jf8PCwvbt2zdt2rTu3burdXPlyuXu7l60aNHGjRsPGjRoyZIlR48efbre2Zt4SQ3g+/fvP8LJvQhgAHB6BDAAhyKAgaQKCAhYv379Dz/80LFjxwoVKhhntCpfvnzLli1HjBixbt26J/Rib0REhDrzUix///33rVu3jPcSKzKPHDni7+9vfMuTk/gAvnHjxvz587du3RoZGWlOSjQCGACcHgEMwKEIYCAxbt68qbBctmzZ8OHDmzZtWqxYsWzZsnl5eVWtWrVTp05Tp05VBJqzPjEHDx7s0aOHflzbf2rduvWcOXNu375tzNarV6+ZM2caXz85iQlg1bhm69Onj4eHx9ChQ+/evWtekWgEMAA4PQIYgEMRwEB81G/nz58/cODAkiVLvvzyyzfffFPJZxzkXLNmzc8//1w9fOnSJXPuJ2/evHnPPvvsc889p/CWXA/lzJnzq6++UqL/+eefatEGDRp8++23+kLFbn7nE/CvAXzq1KnJkye/9NJLz0QZM2YMh0ADAGIjgAE4FAEMK7t79+6tW7cc/DZa/cSAgID9+/fPnj27c+fOL7/8cvbs2Z9//vlixYo1atTo+++/37dvn+3lVkdSALu5uSkIf/3116XRLFiwwNvb+8qVK++9916TJk1ef/315s2b16pV6+OPPza/8wlIIICvXr26fv36evXqKdeN+hUCGAAQJwIYgEMRwLCm+/fvnz17dtGiRUOHDp07d66vr+8j5FPiRUZG3rhx49y5c9u3bx85cmTDhg0LFy6cLVs2dW+5cuX+85//KDL9/f3DwsIe4Y2s9qK1NXPmzAMHDtSDE4Ou1f2fNGmSVufUqVNnyZJF3ajHzfjG6DTz3bt3YzyYmiLmhcSJEcCKXk2MiIg4fvx4t27d9NClSJHCbN8oBDAAIE4EMACHIoBhTVu3bn3ttdfUURkyZMiaNevLL7+8evVq8zr7Uc2qaQMDA3///fe+fftWr17dy8tLPzRXrlx16tT59ttvN23apGvVlkntwyfBCODBgwebl/9JeXnz5s3//ve/6lIPDw/NHBrXKbVv3bq1bNmy3bt3234jzbZ27dqNGzcmqe1tAazv/euvv65du6ZHady4cS+++GK6dOnM6o2GAAYAxIkABuBQBDAs6OjRozVq1DDL6aFKlSrt37/fnOOx3b59+/Dhw5MmTWrbtm3ZsmVVvJkyZSpZsmTr1q0nT568d+/es2fPqhXNua3BCOBBgwaZl2M5cOBA+fLlR40a1aJFC63X6mHzimj0e73yyiuffvppRESEMeX8+fPvvPPOhx9+GBISYkxJDCOAO3XqtGHDBm9v79mzZ9etWzd79uzmsxULAQwAiBMBDMChCGBY0JdffhnjAFrD47+pVU27cePGYcOGNWrUSLnr7u7u4eFRtWrV3r17z58/f8+eParBR+g0x5g3b54CuG/fvpcuXbr4kO6wLXQvXLgwevTov//++9ChQ99//70tcaM7deqUal9VGR4ebkzx9/cvXbq0HoQ4gzk+RgDrGZk4cWLTpk0LFChgPknxUAAbh2onCQEMAE6PAAbgUHPnzm3YsKF5AbAAZVKtWrXMbPqnl19+2ZZtSbV69ep+/fqpe8uXL28cWd2iRYuxY8cuW7bM29s7ODjYnM/CFixY4ObmVrBgwZo1a775UI0aNfRb2E7KZTvsOSwszPgiBl9f30KFCrVu3dr2SAYEBFSsWFGPeZJe8VYA654ULVr0xRdfjPOvFTHoTprfmRTTp09XXZsXAADOiAAG4FAaUmfJkqULYBnNmjXz8PAws+mftKw2btzYnC8pmjdvnjt3bvNWojz77LP6QYsXLz5//ry5Mlie1tb06dO7u7sXKVJE5an/pUCBAv3794/zxd442TGAdTt58uRRk5uPafz0aA8fPrx3797m85Fo5cuX1zNu/kgAgDMigAE41LFjx9q1a9cIsIzatWur8cxy+qeMGTO++eab5nxJ0aRJk1atWnXo0KFz585du3ZVD1eqVEmZrSp+4403/vvf/86cOXPr1q0XL140V4zktnPnzmHR7NmzRxMVwHoE1K4boqyPsmrVquPHjyf+sG07BnD+/PmbNWvWs2fPV155JW3atOaTFJeUKVPqt2jfvr35fCRaixYt5s2bZ/5IAIAzIoABAC5NYRb7DFiGcuXK3bhxw5zvMaj0FJBDhw5t0KBB8eLFM2XK5ObmVrJkyY4dO/7000+66uTJk4l/TfVJGDRokPk7Rxk+fLgmLly4MHPmzLrbxjyPxo4BnDdv3s6dO2/dunX58uXdu3cvVaqUeXfj8miHQAMAnB4BDABwdT179jSz6Z/at29vzvGo7t+/f/v2bZVeUFBQYGDgsWPHVqxYMXDgwIYNG77wwgs5cuRIkyaNp6dnnTp1Ro0atWnTJs1w5coV85sdSBH+n//8p2/fvn369NGjsWXLFk2cP3++Avjbb7815nk0sQPY39+/TJkyb7311iMEsPExSEePHr127drmzZs/+OCDXLlymc/WP40ZM8b8TgAAoiGAAQCu7sCBA5UqVTLL6aFSpUpt377dnOORqH7v3r0bERFx8+ZNI4BPnjx5+PDhXbt2qXWXL1+uSGvTpk3FihWff/55paaUK1fus88+++OPP06fPq1vcdjLwrqr96Ixzp9sfAzSYwbw2bNnFcAKftun/h4/ftzLy0vN/2gBvGbNGj2GV69e1cTQ0NCZM2fqAcyQIYP5tD30aB+DBABwegQwAMDVqfdWr15dpkyZ5557LkWKFOnSpStevPiSJUsev6BsDRwSEnL9+vWLFy8GBAScOXNGEejt7b179+6NGzcuW7Zs+vTpPXr0qFmzZr58+dSc2bJlK1iwYKNGjSZMmODj4xMcHJwsB0jbJYCvXbtWrFixkiVLXrp0SY/GnTt35s6dq0B99913HzmADx06dPnyZWO6utrf3//rr7/OkydPypQpjfoVAhgAECcCGACAB8rUY8eOTZw4MWfOnCNHjlSdKtXM6x6bws8o4du3b4eGht64cUP9du7cOT8/v1OnTunnHjx4cMuWLb///vusWbMGDRqk9H3hhReyZMmiEi5QoED16tW/+OKLDRs2JOmDcx+fSjVDhgzffPONefmRqELr16+vNO3Wrdvq1atHjx5dpkwZBWrdunXtEsCG4ODgnTt3tmzZMl26dEYA6wcRwACA2AhgAABM165dK1Wq1JkzZ8zLT4BKWGEWGRkZFhamoL1y5cqFCxfOnj3r6+t7/PjxI0eO7NmzZ8WKFbNnz/7uu+86depUsWJFDw8PhahKuFKlSu3atZs+ffrp06fNm3uSdB/SpEnTv39/8/KjUtu/+OKLqVKlyp07d548edq2bVujRo2qVasmqecTDmBDYGDgvHnzdMsK4BEjRhDAAIDYCGAAAEwRERFly5a9dOmSefkJUwyrhPVDb926pfa+ePGiv7+/SvjkyZM+Pj7e3t6bN29W0Y0ZM+bTTz+tXbu2ClAlnD17dlVx06ZNhwwZsmnTJtvJpewuICDgt99+O3bsmHn5MezatUs9/8UXX8yYMcPPz+/w4cOqYtu7ghMjMQFsOHjw4KBBgxYvXpyk2wcAuAgCGAAAk0K0TJky586dMy87SpwHSJ8+ffrEiRMq4SNHjuzfv3/ZsmXjx4/v06fP+++//8ILL6iE3dzc9EWTJk2++uqr+fPnO+Zl4cehX9D8KukSH8ASHh5+6dIlXgEGAMRGAAMAYEquALYxDpC+c+eOEi44OPjq1avGAdInT548duyYSvjw4cPbtm2bNWvWgAEDmjVrVqlSpezZs6dJkyZnzpx16tTp27fvTz/9tHPnTge/W9gBkhTAAADEhwAGAMCU7AEcnfFWYZWw7pVK2DiDtHHSrL/++ksRuG/fvj/++GPUqFEdO3asVq1a/vz5VcIZM2YsV65c9+7dVcLr16/38/Mzb+4pRwADAOyCAAYAwGSpALaJcYD0pUuXdA/PnDljvE/4wIEDe/fu3bJly4wZM3r37v32228XLVo0a9asqVOnzpcvX5MmTcaPH79hwwZls77XvMWnEAEMALALAhgAAJM1Azg64wDpsLCw4ODgK1eunD9/3jhA+q+//tq/f//u3bu3bt36+++/Dx06tHnz5vpdnn/+eTc3tyxZsrz66qv9+vVTPR4/flwJ/dSdIIoABgDYBQEMAIDJ+gFsE/0A6WvXrv39998BAQGnT5/28fE5fPjwrl27Nm3atGLFismTJ3ft2rVatWpeXl7u7u6ZM2cuVqxY69atf/75Z2WzEvrJnUTavghgAIBdEMAAAJieogC2iX0G6cDAQD8/P/Xt0aNH//zzT5Xw8uXLZ8+e3b9//3r16hUtWlQZnD17dvXkW2+9NXjw4D179ugXv3Pnjm7KvFHrIYABAHZBAAMAYHoaA9jGdgZp4wDpoKCg8+fPq4R9fX2PHz/u7e2thjRKeMSIEa1bty5btqwyOFOmTAUKFKhSpUrXrl0XLVrksM9ATioCGABgFwQwAACmpzqAo4txBum///7b399fJXzixIljx44dOHBg3bp1c+fOHT16dLdu3apXr54rVy43NzcvL6+KFSs2a9Zs7Nixf/75p3lb1kAAAwDsggAGAMDkNAFsYztAOiQk5Pr168YZpE+fPn3y5Mnjx48fOXJk9+7dS5YsGTduXJ8+fRo0aFCkSJEMGTJkypRJj0PDhg2/+uqr33777eLFi+bNJR8CGABgFwQwAAAm5wtgG6OEo59B+sKFC35+fidOnPDx8Tl69Ojhw4fXr18/derUL7/8smnTpuXKlcucOfNzzz2XL18+hXHfvn1nzJhx4MCBe/fumbfoWAQwAMAuCGAAAExOHMDRGQdIR0RERD9A+uTJk8eOHTty5IhKeM+ePYsWLRo6dGi7du1effXV3Llzp06d2t3dXV/37NlzypQpGzZsUD+bN+cQBDAAwC4IYAAATC4SwDbGy8IqYdsB0oGBgadPn1YJe3t7Hzx48M8//1TrTpgwoXv37rVq1TIOkE6bNm2xYsXatm07adKkdevW+fj4hIWFmbf4xBDAAAC7IIABADC5WgDbxDiDtPLSdoC0SvjAgQN79uzZtm3bwoUL+/fv36hRoxdffNHDwyNNmjT6X2E8bNgwlfCRI0eeXJcSwAAAuyCAAQAwuWwAR2c7g/TNmzeNA6QDAgJOnTplnD56165dmzdvXrFixQ8//KAcrVKlSs6cOTNnzpwxY8ZSpUp17dr1119/VTZfvHhRt2Deoj0QwAAAuyCAAQAwEcDRxT6DdGBg4JkzZ44fP/7XX3/t3bt306ZNf/zxx6xZs3r37l27du0CBQqohLNmzWqcN0uFrNlu3LihEtZNmTf6qAhgAIBdEMAAAJgI4DgZB0irhENDQ4ODg4OCgvQQ+fn5nTp1ysfH5+DBg1u3blUJ//zzz8OGDfvggw9KlSrl7u6uElayvvbaa7169Vq9erUS+nHOIE0AAwDsggAGAMBEACdMJSyRkZFhYWHGAdIXLlw4e/bs6dOnT5w4cfTo0b17965atWrOnDmjR4/+6KOPqlSp4unp6ebmpnatUKFCq1atJk+efPLkSfPmkoIABgDYBQEMAICJAE48o4SNz1K6fv36xYsXAwICVMLqWx8fn7/++mvLli0LFiz4/vvve/bs+fbbb+fPnz9DhgxZs2Z9+eWXGzZsOHDgwPXr14eEhJg3928IYACAXRDAAACYCOBHoBI2DpA2ziAdFBR0/vz5M2fOnDhx4vjx40eOHDlw4MCKFSsmTpz4xRdfNG3atHTp0pkyZXJzcytatOj777/ft2/fOXPmaE7z5uJBAAMA7IIABgDARAA/JuOzlKKfQfrs2bPGa8IqYW9vb3WscnfgwIGtWrWqUqWK8VlKzz//fK1atXr37j158uRt27Zdv37dvLlojABu3749AQwAeBwEMAAAJgLYXu5HnUE6IiIiJCTk2rVrxgHSvr6+x44d++uvvw4fPrx///6VK1eOHTv2o48+euONNwoVKpQ2bVo3N7fSpUtrysSJE1evXq35dTvGDWr+fPnydezYce3atQQwAOCREcAAAJgIYLszStg4g/SNGzcUrsYB0sePH/f29j5w4MC+ffu2bt06a9asvn371qtXr0SJEtmyZUudOnXu3Lnff//977//ft26dcrm3377zcvL6z//+c+WLVuOHDkSFBRk/gAAAJKCAAYAwEQAP1HRD5C+cuXKhQsX/P39T548abxPeM+ePSrh5cuXjxgxolWrVuXLl/f09MyQIUOmTJmqVav21ltvpUmT5vPPP//zzz/1LdeuXTNvFACApCCAAQAwEcCOEf0M0rYDpE+fPu3j43P48GGV8ObNm1etWjVt2rTu3bvXqFEjb968WbJkSZs27bBhw1TLfn5+N27cMG8LAICkIIABADARwA4W+wDpwMBA9e3JkyePHj36559/qoT/+OOPOXPmDB8+vHXr1r/88ouvr++FCxf0TJk3AQBAUhDAAACYCODkohI2DpAOCwuzHSB99uxZ5a7xbmHF8M6dO48cORIQEKBrNZv5nQAAJAUBDACAiQC2AuMA6fDwcNsB0iphf3//S1GCgoKCg4Nv375tzg0AQFIQwAAAmAhgS7EdIB0SEqKnRvRFaGhoRESECtmcCQCApCCAAQAwEcDWpBI23HtIX5vXAQCQFAQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgAAOdGAAMAYCKAAQBwbgQwAAAmAhgu5e7du/fu3bt//755GQBcAAEMAICJAMbjUEmeOXNm9erVv/322+LFixcsWPDLL7/MtZ758+frHh44cEALfHh4+J07d8xfAABcAAEMAICJAMbjuHv37rBhw1KlSpUxY8YsVuXu7p4+ffpnnnnmk08+uXbtWnBwsBqYF4EBuA4CGAAAEwGMx6EA7tevX4YMGdSWAwcO/NqShg4d2rJlSwVwq1atAgMDL1++rMWeAAbgOghgAABMBDAehwL4iy++KFq06JkzZ7QsWVNoaOhff/1Vrly5hg0bHj9+XA18/fr1e/fumb8DADg7AhgAAJPygADGI1MA9+3bt0SJEjdv3jQnWdKlS5eqVav2zjvvHDhwwNfXNygoiAAG4DoIYAAATAQwHocCuE+fPsWKFVNSmpMsKSAg4LXXXnvrrbe2bdt29OjRixcv6p6b1wGAsyOAAQAwEcB4HJGRkb17934qArhq1aqvv/76qlWr9u/frwWeAAbgOghgAABMBDAehwK4V69eT0sAv/baa7///vuePXsCAwMJYACugwAGAMBEAONxPF0BLMuWLdu7dy8BDMClEMAAAJgIYDwOAhgArI8ABgDARADjcfxrAF+7dm3//v1Lly6dO3fuL0+Mbnz+/PmbN28+e/as+YP/iQAG4MoIYAAATAQwHkfCAaz67dev3wsvvJDbIfLnz9+wYcN9+/aZPz4aAhiAKyOAAQAwEcB4HAkE8L1797p37162bNkxY8asW7duw4YN658k3f7ChQsbNGhQpUqVkydPmnfiIQIYgCsjgAEAMBHAeBwJBPDq1atVv3Pnzg0JCTEnPWFKbl9f3+rVq/fr1y88PNycGoUABuDKCGAAAEwEMB5HAgH8ySeffPDBB1rAzMuOMnny5FdeeeXSpUvm5SgEMABXRgADAGAigPE4EgjgmjVrDho0yLzgQIcOHdL98fb2Ni9HIYABuDICGAAAEwGMxxFfAN++fbty5cpjx441LzuQr69v0aJFN2/ebF6OQgADcGUEMAAAJgIYjyO+AA4JCVEAjxkzxrzsQKdOnVIAr1+/3rwchQAG4MoIYAAATAQwHkd8ARwaGpq8AbxhwwbzchQCGIArI4ABADARwHgcBDAAWB8BDACAiQDG4yCAAcD6CGAAAEwEMB4HAQwA1kcAAwBgIoDxOAhgALA+AhgAABMBjMdBAAOA9RHAAACYCGA8DgIYAKyPAAYAwEQA43EQwABgfQQwAAAmAhiPgwAGAOsjgAEAMBHAeBwEMABYHwEMAICJAEZs9+7d27179+HDh/WFOSkeBDAAWB8BDACAiQBGbIrDLl26vPLKK3PmzDl//rw5NS4EMABYHwEMAICJAEZs9+/fVwA/88wzadOmbd68+c6dO0NCQszr/okABgDrI4ABADARwIhNAdy1a1cFsKRKlSpPnjxfffWVGjL2EdEEMABYHwEMAICJAEZs0QPYkDFjxooVK/70009hYWHmTFEIYACwPgIYAAATAYzYYgewIXfu3E2bNo3elgQwAFgfAQwAgIkARmzxBbBBC8znn3/u4+NjzEwAA4DFEcAAAJgIYMSWcABLqlSp3n777enTp1++fPmrr74qXrw4AQwAlkUAAwBgunnzZtmyZcPDw83LQJSePXuasRu/7Nmzt2nTplatWiVKlLhy5Yr5nVFCQkKSN4DXr19vXo5CAANwZQQwAACm0NDQXLlyDRkyZCIQTbVq1czMTdBzzz1XpEiRF1544erVq+YiFSUiIkIBPHbsWPOyA/n6+iqAN23aZF6OQgADcGUEMAAApsjIyEaNGpUvX74cEE2OHDnMxo1HmjRpNNugQYM6deoU+xVgeeONN4YOHWpecKAjR44UK1bs4MGD5uUoBDAAV0YAAwDw/92/f18xoBIGDHfu3OnSpYtZunHJlStXx44dfXx8tPD06dMn9kmwpEOHDu3atQsNDTUvO8rcuXMrVKhw/vx583IUAhiAKyOAAQAAEvKf//zHjN1/Sp8+fY0aNVauXGn7QODevXvHGcALFiwoX778+vXrHZma169ff++993TnY4Q3AQzAlRHAAAAA8YrzLNApUqQoUqTIhAkTzp8/rxmMOSPj+RxgUSG3bNmycuXKv/zyy9GjR48dO6b/nxwfH5/t27e3b9/+xRdf3L9/v+0eGghgAK6MAAYAAIhX7ADOlClTnz59FJa2F34NCQSwnDlzpnPnzsWLFy9cuLDiWf8/Obr9QoUK1ahRY8WKFffu3TPvwUMEMABXRgADAADEK0YAN2rUaOnSpZcvXzavjibhABZ/f/8lS5aMHDly0KBBg58Y3fiQIUOmT5+uuDV/8D8RwABcGQEMAAAQLwVwu3btlL4vv/zymDFjfHx8zCti+dcAtggCGIArI4ABAADide/evSFDhnz88cfr1683J8WDAAYA6yOAAQAA4qUAPnbsWIy3+8aJAAYA6yOAAQAA7IAABgDrI4ABAADsgAAGAOsjgAEAAOyAAAYA6yOAAQAA7IAABgDrI4ABAADsgAAGAOsjgAEAAOyAAAYA6yOAAQAA7IAABgDrI4ABAADsgAAGAOsjgAEAAOyAAAYA6yOAAQAA7IAABgDrI4ABAADsgAAGAOsjgAEAAOyAAAYA6yOAAQAA7IAABgDrI4ABAADsgAAGAOsjgAEAAOyAAAYA6yOAAQAA7IAABgDrI4ABAADsgAAGAOsjgAEAAOyAAAYA6yOAAQAA7IAABgDrI4ABAADsgAAGAOsjgAEAAOyAAAYA6yOAAQAA7IAABgDrI4ABAADsgAAGAOsjgAEAAOzAFsDXrl0zJ1nS+fPnq1WrRgADcE0EMAAAgB0oI3v37l20aFGLvwLs7+9fpUqVGjVqrFu37tChQxcuXCCAAbgOAhgAAMAOlJFffPFFqlSp1JbvvPPO21H0haXUr1+/evXqbm5u9erV27Vr1/Hjxy9dunTv3j3zdwAAZ0cAAwAA2IECeMaMGZUqVSpUqFCePHly5crl4eGRLVu27FaSNWtWT0/PwoUL9+7d+9ChQ2fOnLl69SoBDMB1EMAAAAB2cP/+/VOnTq1YsWLhwoWzZs2aNGnSqFGjhg4dOsxKdH9Gjhz5ww8//PHHH8ePHz937lxwcDABDMB1EMAAAAD2cefOnZCQkMuXL589e/bo0aN79+7dsWPHTivR/dmzZ4/um1rd398/KCgoNDRU6W7+AgDg7AhgAAAA+1AA37p16+rVqxcuXFADnzhx4pj1HD9+3M/P7/z586rfmzdv3r59mwAG4DoIYAAAAPu4d++eejIsLCwkJOTGjRsq4SvWo3ul+6ZQ1/3UveUU0ABcCgEMAADwRNy3MPMuAoCLIYABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgEghgAAAAAIBLIIABAAAAAC6BAAYAAAAAuAQCGAAAAADgAh48+H+HXxPqwCKGlgAAAABJRU5ErkJggg==" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<img src=\"attachment:Slide3.PNG\" width=\"700\"/>" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "V = 18.000\n" + ] + } + ], + "source": [ + "V = inv(C*inv(B*F-A)*B)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "% Number of data flows in the schematic\n", + "nflows2 = 6;\n", + "\n", + "C2 = eye(2);\n", + "\n", + "% Instance of the simulation schematic\n", + "sc3 = Schema(tini,tfinal,dt,nflows2);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<br> List of components:\n" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "c3{1} = StepSource(1,0,1,1);\n", + "c3{2} = Gain(1,2,V);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<br><span style='color:Orange'>Sum Function Definition:</span>\n", + "<br><code>Sum(1.argument = input_2, 2.argument = input_3, 3.argument = output_4, 4.argument = first sign , 5.argument = second sign )</code>" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "c3{3} = Sum(2,3,4,1,1); " + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "c3{4} = StateSpace(4,[5 6],A,B,C2,D,xo);\n", + "c3{5} = Gain([5 6],3,-F);\n", + "c3{6} = Gain([5 6],7,[0 1]);" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sc3.AddListComponents(c3);\n", + "\n", + "% Run the schematic and plot\n", + "out3 = sc3.Run([3 5 6]);\n", + "plot(out3(1,:),out3(3,:),'b','LineWidth',4);\n", + "legend('Control Signal')\n", + "grid on" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Das Ergebnis zeigt, dass im stationären Zustand die Regelgröße der Führungsgröße entspricht" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(out3(1,:),out3(2,:),'g','LineWidth',4); % Output_3\n", + "legend('out gain F')\n", + "grid on" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #3 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Gegeben sei das bekannte System aus der Vorlesung:\n", + "<br> $A$ = $\\left[ \\begin{array}{rrrr}\n", + " -1 & 0 & 0 \\\\\n", + " 1 & -2 & 0 \\\\\n", + " 0 & 5 & 0 \\\\\n", + " \\end{array}\\right] $ \n", + "<br><br> $B$ = $\\left[ \\begin{array}{rrrr}\n", + " 1 \\\\\n", + " 0 \\\\\n", + " 0 \\\\\n", + " \\end{array}\\right] $" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "A = [-1 0 0;\n", + " 1 -2 0;\n", + " 0 5 0];\n", + "\n", + "B = [1; 0; 0];" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Zunächst ermitteln wir die Steuerbarkeitsmatrix:" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Steuerbarkeit Matrix\n", + "S_c =\n", + "\n", + " 1 -1 1\n", + " 0 1 -3\n", + " 0 0 5\n", + "\n" + ] + } + ], + "source": [ + "disp('Steuerbarkeit Matrix')\n", + "S_c = [B A*B A*A*B]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Es wird lediglich die letzte Reihe (n=3) der inversen Steuerbarkeitsmatrix betrachtet ($s_{c_{n}}^T$):" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "S_c_inv =\n", + "\n", + " 1.00000 1.00000 0.40000\n", + " 0.00000 1.00000 0.60000\n", + " 0.00000 0.00000 0.20000\n", + "\n", + "s_c_n =\n", + "\n", + " 0.00000 0.00000 0.20000\n", + "\n" + ] + } + ], + "source": [ + "S_c_inv = inv(S_c)\n", + "s_c_n = S_c_inv(3,:)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Da die Inverse ausgegeben werden kann, ist dies ein Beweis dass das System steuerbar ist, denn die Determinante ist ungleich Null." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Nun wird die Polvorgabe durchgeführt:" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Pole Vorgabe\n", + "p1 = -2, p2,3= -1+/-J\n", + "P =\n", + "\n", + " 4 6 4 1\n", + "\n", + "p1 = -2\n", + "p2 = -1 + 1i\n", + "p3 = -1 - 1i\n", + "v1 =\n", + "\n", + " 0.00000 0.00000 0.20000\n", + "\n", + "v2 =\n", + "\n", + " 0 1 0\n", + "\n", + "v3 =\n", + "\n", + " 1 -2 0\n", + "\n", + "v4 =\n", + "\n", + " -3 4 0\n", + "\n" + ] + } + ], + "source": [ + "disp('Pole Vorgabe')\n", + "disp('p1 = -2, p2,3= -1+/-J')\n", + "P = [4 6 4 1]\n", + "p1 = -2\n", + "p2 = -1+1j\n", + "p3 = -1-1j\n", + "\n", + "v1 = s_c_n\n", + "v2 = s_c_n*A\n", + "v3 = s_c_n*A*A\n", + "v4 = s_c_n*A*A*A" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Nun wird die Polvorgabe durchgeführt:" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "F2 =\n", + "\n", + " 1.00000 2.00000 0.80000\n", + "\n" + ] + } + ], + "source": [ + "F2 = place(A,B,[p1 p2 p3]) % Nach Polvergabe ist F2 = F" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "\n", + "$f^T = p_{0}s_{c_{n}}^{T} + p_{1}s_{c_{n}}^{T}A + p_{1}s_{c_{n}}^{T}A^2 + p_{1}s_{c_{n}}^{T}A^3$" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "F =\n", + "\n", + " 1.00000 2.00000 0.80000\n", + "\n" + ] + } + ], + "source": [ + "F = (P(1)*v1+P(2)*v2+P(3)*v3+P(4)*v4) % Rückführfaktor" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Die Polvorgabe erfolgte durch die Wahl der charakteristischen Gleichung:\n", + "<br> $P(s) = 4 + 6s + 4s^2 + s^3 $\n", + "<br> Damit erhält man schließlich den Rückführvektor:\n", + "<br> $f^T$ = $4 \\left[ \\begin{array}{rrrr}\n", + " 0 & 0 & \\frac{1}{5} \\\\\n", + " \\end{array}\\right]\n", + " + 6 \\left[ \\begin{array}{rrrr}\n", + " 0 & 1 & 0 \\\\\n", + " \\end{array}\\right]\n", + " + 4 \\left[ \\begin{array}{rrrr}\n", + " 1 & -2 & 0 \\\\\n", + " \\end{array}\\right]\n", + " + 6 \\left[ \\begin{array}{rrrr}\n", + " -3 & 4 & 0 \\\\\n", + " \\end{array}\\right]$\n", + "<br><br> $f^T$ = $6 \\left[ \\begin{array}{rrrr}\n", + " 1 & 2 & \\frac{4}{5} \\\\\n", + " \\end{array}\\right]$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #4 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Gegeben sei das System:" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "A1 =\n", + "\n", + " 1 0\n", + " 0 -1\n", + "\n", + "B1 =\n", + "\n", + " 1\n", + " 0\n", + "\n", + "C1 =\n", + "\n", + "Diagonal Matrix\n", + "\n", + " 1 0\n", + " 0 1\n", + "\n", + "D1 =\n", + "\n", + " 0\n", + " 0\n", + "\n" + ] + } + ], + "source": [ + "A1 = [1 0; 0 -1]\n", + "B1 = [1; 0]\n", + "C1 = eye(2)\n", + "D1 = [0; 0]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Das offene System ist instabil und nicht steuerbar!" + ] + }, + { + "attachments": { + "Slide4.PNG": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<img src=\"attachment:Slide4.PNG\" width=\"700\"/>" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "% Simulink model A\n", + "% Set the Octave Engine to run the simulation\n", + "% Simulation Parameters\n", + "% Start time\n", + "tini = 0;\n", + "% End time\n", + "tfinal = 10;\n", + "% Time Step\n", + "dt = 0.01;\n", + "% Number of data flows in the schematic\n", + "nflows = 4;\n", + "\n", + "% Initial conditions\n", + "xo = [2; 2];\n", + "\n", + "\n", + "\n", + "% Instance of the simulation schematic\n", + "sc4 = Schema(tini,tfinal,dt,nflows);\n", + "\n", + "% List of components\n", + "c4{1} = Constant(1,0);\n", + "c4{2} = StateSpace(1,[2 3],A1,B1,C1,D1,xo);\n", + "c4{3} = Gain([2 3],4,-[4 0]); \n", + "\n", + "sc4.AddListComponents(c4);\n", + "\n", + "% Run the schematic and plot\n", + "out4 = sc4.Run([2 3 4]);\n", + "plot(out4(1,:),out4(2,:),'b','LineWidth',4, out4(1,:),out2(3,:),'r','LineWidth',4);\n", + "legend('State-Space 1, x_{dot}','State-Space 1, y')\n", + "grid on" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(out4(1,:),out4(4,:),'g','LineWidth',4); % Output_4\n", + "legend('out gain F')\n", + "grid on" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Der erste Pol kann also mittels $F_1$ verschoben werden, sodass das System stabil wird!" + ] + }, + { + "attachments": { + "Slide5.PNG": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<img src=\"attachment:Slide5.PNG\" width=\"700\"/>" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "% Instance of the simulation schematic\n", + "sc5 = Schema(tini,tfinal,dt,nflows);\n", + "\n", + "% List of components\n", + "c5{1} = Constant(1,0); %Just for reference for plotting graph, not being used here.\n", + "c5{2} = StateSpace(4,[2 3],A1,B1,C2,0,xo);\n", + "c5{3} = Gain([2 3],4,-[4 0]); \n", + "\n", + "sc5.AddListComponents(c5);\n", + "\n", + "% Run the schematic and plot\n", + "out5 = sc5.Run([2 3 4]);\n", + "plot(out5(1,:),out5(2,:),'b','LineWidth',4, out5(1,:),out5(3,:),'r','LineWidth',4); %Output Signal 1 & 2\n", + "legend('State-Space 1, x_{dot}','State-Space 1, y')\n", + "grid on" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(out5(1,:),out5(4,:),'g','LineWidth',4); % Output_4\n", + "legend('out gain F')\n", + "grid on" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Das System wurde durch Polplatzierung stabilisiert." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #5 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Gegeben sei das System aus <span style='color:Gray'>Beispiel #1</span>.\n", + "\n", + "\n" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [], + "source": [ + "A = [1 1;-2 -1];\n", + "\n", + "B = [0; 1];\n", + "\n", + "C = [1 0];\n", + "\n", + "D = 0;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Das charakteristische Polynom ist gegeben:\n", + "<br><br> $P(s)$ = $s^2$ + 2$\\xi$$\\omega_0$ + $\\omega_r$ $mit$ $\\xi = 0,7$ $und$ $\\omega_r=2$ \n", + "\n", + "Da $\\xi = 0.7$ erhalten wir komplexe Pole. Mit $\\omega_r$ wir die Geschwindigkeit des Systems einstellen. Die natürliche Frequenz $\\omega_0$ wird mit jeder Iteration um $2$ erhöht." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Steuerbarkeit des System\n", + "S_c =\n", + "\n", + " 0 1\n", + " 1 -1\n", + "\n", + "ans = 2\n", + "Eigenwerte\n", + "ans =\n", + "\n", + " -0.00000 + 1.00000i\n", + " -0.00000 - 1.00000i\n", + "\n", + "Regler\n", + "warning: place: 0+1: 1 violations of the numerical stability condition NORM(F) <= 100*NORM(A)/NORM(B) occurred during the assignment of eigenvalues.\n", + "warning: called from\n", + " place at line 139 column 20\n", + "warning: place: 0+1: 1 violations of the numerical stability condition NORM(F) <= 100*NORM(A)/NORM(B) occurred during the assignment of eigenvalues.\n", + "warning: called from\n", + " place at line 139 column 20\n" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "disp('Steuerbarkeit des System');\n", + "S_c = [B A*B]\n", + "rank(S_c)\n", + "\n", + "disp('Eigenwerte');\n", + "eigs(A)\n", + "\n", + "disp('Regler');\n", + "\n", + "csi = 0.7;\n", + "omr = 2;\n", + "\n", + "for i=1:10\n", + " omo = i*omr;\n", + " pd = [-csi*omo+1j*omo*sqrt(1-csi*csi) -csi*omo-1j*omo*sqrt(1-csi*csi)];\n", + " F = place(A,B,pd);\n", + " xini = [2; 2];\n", + " Acl = A-B*F;\n", + " \n", + " deltat=0.01;\n", + " for q=1:100\n", + " y(i,q) = C*expm(Acl*deltat*q)*xini;\n", + " u(i,q) = -F*expm(Acl*deltat*q)*xini;\n", + " end\n", + "end\n", + "\n", + "figure\n", + "hold on\n", + "for i=1:10\n", + " plot((1:100)*deltat,u(i,:));\n", + " \n", + "end\n", + "title('input signal u')\n", + "legStr = {'pd-1','pd-2','pd-3','pd-4','pd-5','pd-6','pd-7','pd-8','pd-9','pd-10'};\n", + "legend( legStr );\n", + "\n", + "hold off\n", + "figure\n", + "hold on\n", + "for i=1:10\n", + " plot((1:100)*deltat,y(i,:));\n", + " \n", + "end\n", + "title('output signal y')\n", + "legStr = {'pd-1','pd-2','pd-3','pd-4','pd-5','pd-6','pd-7','pd-8','pd-9','pd-10'};\n", + "legend( legStr );\n", + "hold off" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #6 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Gegeben sei das System aus <span style='color:Gray'>Beispiel #1</span>. Es gilt $T_s=0.1$.\n" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [], + "source": [ + "A = [1 1; -2 -1];\n", + "\n", + "B = [0; 1];\n", + "\n", + "C = [1 0];\n", + "\n", + "D = 0;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Prüfe die Steuerbarkeit mittels Rang-Funktion:" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Steuerbarkeit des System\n", + "S_c =\n", + "\n", + " 0 1\n", + " 1 -1\n", + "\n", + "ans = 2\n" + ] + } + ], + "source": [ + "disp('Steuerbarkeit des System');\n", + "S_c = [B A*B]\n", + "rank(S_c)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Ermittle Eigenwerte für den offenen Regelkreis:" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Eigenwerte\n", + "ans =\n", + "\n", + " -0.00000 + 1.00000i\n", + " -0.00000 - 1.00000i\n", + "\n" + ] + } + ], + "source": [ + "disp('Eigenwerte');\n", + "eigs(A)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Gebe nun für den geschlossenen Regelkreis diese zwei Pole vor:" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Regler\n", + "pd =\n", + "\n", + " -3 + 3i -3 - 3i\n", + "\n", + "F =\n", + "\n", + " 23.0000 6.0000\n", + "\n" + ] + } + ], + "source": [ + "disp('Regler');\n", + "pd = [-3+1j*3 -3-1j*3]\n", + "F = place(A,B,pd)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Abtast:" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "Ts = 0.1;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + " Die Regelstrecke soll diskretisiert werden. So erhalten wir <code>A_d</code> und <code>B_d</code>:" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Ad =\n", + "\n", + " 1.094838 0.099833\n", + " -0.199667 0.895171\n", + "\n", + "Bd =\n", + "\n", + " 0.0049958\n", + " 0.0948376\n", + "\n" + ] + } + ], + "source": [ + "Ad = expm(A*Ts)\n", + "Bd = (Ad-eye(2))*inv(A)*B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Die korrespondierenden (beliebigen) Pole im zeitdiskreten System lauten:" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "pdd =\n", + "\n", + " 0.70773 + 0.21893i 0.70773 - 0.21893i\n", + "\n" + ] + } + ], + "source": [ + "pdd = exp(pd.*Ts)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "In diesem Fall wird dem Regler das diskrete Signal zugeführt:" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Fd =\n", + "\n", + " 17.4834 5.1372\n", + "\n" + ] + } + ], + "source": [ + "Fd = place(Ad,Bd,pdd)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Vergleicht man die Werte aus <span style='color:Gray'>Beispiel #1</span>, mit den Werten des diskretisierten Systems, ist\n", + "eine Abweichung zu erkennen, da $f^T$=[23 6] zuvor galt!\n", + "<br><br>Veranschaulichung durch Simulink:" + ] + }, + { + "attachments": { + "Slide6.PNG": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<img src=\"attachment:Slide6.PNG\" width=\"700\"/>" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "metadata": {}, + "outputs": [], + "source": [ + "% Instance of the simulation schematic\n", + "nflowsd = 11;\n", + "tfinal = 4;\n", + "dt = 0.01;\n", + "\n", + "C2 = eye(2);\n", + "sc6 = Schema(tini,tfinal,dt,nflowsd);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<br> List of components:" + ] + }, + { + "cell_type": "code", + "execution_count": 51, + "metadata": {}, + "outputs": [], + "source": [ + "c6{1} = StateSpace(1,[2 3],A,B,C2,D,xo);\n", + "c6{2} = Gain([2 3],4,-Fd);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<br><span style='color:Orange'>Zero order hold (ZOH) Function Definition:</span>\n", + "<br><code>ZOH(1.argument = input_4, 2.argument = output_1, 3.argument = sample time )</code>" + ] + }, + { + "cell_type": "code", + "execution_count": 52, + "metadata": {}, + "outputs": [], + "source": [ + "c6{3} = ZOH(4,1,Ts);" + ] + }, + { + "cell_type": "code", + "execution_count": 53, + "metadata": {}, + "outputs": [], + "source": [ + "c6{4} = StateSpace(5,[6 7],A,B,C2,D,xo);\n", + "c6{5} = Gain([6 7],8,-F);\n", + "c6{6} = ZOH(8,5,Ts);\n", + "c6{7} = StateSpace(9,[10 11],A,B,C2,D,xo);\n", + "c6{8} = Gain([10 11],9,-F);\n", + "#c6{9} = Gain([2 3],12,[0 1]);\n", + "#c6{10} = Gain([6 7],13,[0 1]);" + ] + }, + { + "cell_type": "code", + "execution_count": 54, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "sc6.AddListComponents(c6);\n", + "\n", + "% Run the schematic and plot\n", + "out6 = sc6.Run([2 6 10]);\n", + "plot(out6(1,:),out6(2,:),'.-r','LineWidth',3, out6(1,:),out6(3,:),'b','LineWidth',4);\n", + "legend('discrete out','continuous out')\n", + "grid on" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Je kleiner die Abtastzeit gewählt wird, desto kleiner wäre auch die Abweichung.\n", + "Höhere Abtastzeiten bedeuten jedoch einen höheren Rechenaufwand!" + ] + }, + { + "cell_type": "code", + "execution_count": 55, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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NZnN/f18IIa8yrkIlkfsi6gIGDI0fwxBcAhKA2rrdbrfbXVhYyOVyQoi7u7tms+m+68jlcs1ms16vd7vddDq9sLDQ96izJZ1OCyGazWYulxt6QPcOzWZTbpEbHeOf6K5k5ufsESVbSEPRTgKgsG63WyqVLi4utre3379/3+12c7ncxcXFd999J9sfzWazVCqdnp7KfW5ubmRnXbPZPDo66ntU7n90dCQPvr+/P/SA7h3ev3+/v79/cXFRKpXcfYBPPtGpZIZnazjFWkju1HGaREQRAB/C+AgZ7LI5OjqqVCoyDOQnfqVSkdGSTqcPDw+FELlcTt4oFAovX75sNpuFQsHpr3M/OviKQw/odnV1JY8gW2mTP9GpxPPZCIpKLSTDEEIYwr7/GRw8IpkAqEr2iQkh0um0jCWnB8y54c6JQeMfHXpAt0qlIoTI5XKyOTX5E9WhUiAJYYj+vzoMY9ifIgAwMdsO/mdQLpeTMSDnCKTTaXnXf2+YfPqYA8q79Xp9Z2en2Wx+/fXXp6enzqNPPlEdynTZGYY7jeR/b9kiMgxh27b7TiQFAsAYOzs7pVLp5uamXq8fHh7mcrlCoSDvyrZLn4WFhfHz69Lp9Pv374UQd3d3QohKpdJ3wL4dhBCFQqFUKskCnOM8+USnkuh77ewoZDKZ/k1CCGHLn8ebP28c+vDMDalcHxQfFYqfpag+1qSLi4tPnz65797c3Iza+erqasyjtm3f3NxcXFz0Hd/9lL4d5F13ARM+8clKxhg84Z7fM4YdRYPDNM12u+3e4gwPDZbz8JAYvdOsDFauEYqPCsXPkmFE87GWWIMn3PN7Ro0xpM+ZM/Rd9LCReXcAEF9KBNLgXIbhuzkxxJ8/ABA7SgSSNCZl+htJrCcEALETfSBNlSzEEADEVfSBJD1MWBi1A710ABBrqgTS5B4GnGguAUCMRBxIU81ToJEEADGmxEoN0yaNIewnu/gAJJZB94meIg0kwxCTTfgeQi4mxEpCAB5zf0lTu2/1umldvDdRdtlN+PUjt4d3Gn8BAUC86DepQfIQZgAAlUUfSNN2uQ1ZSQgAoL/oAimoPjf67gAgFiILJP99bg9JRCYBgP7CCqRWq2VZ1pO7eZu9TV8dAMRP8NO+e73e5uZmNpu1LCubze7t7Y3b22e2yMnfBBQA6C/4FtLp6enKysrr169PTk6+//77wI/vdt9Xx+LfAKC/4FtIq6ur8kav1wv84A7ZNAIAxEbwgZRKpYQQjUbjzZs329vbgR8fABBLoVx8vlqt3t7e7u7uynAaZJpmp9N2GjmZTMbDq3Q694tq2MIwPR0BABCITqfj3M5kMt4WPQq+hfTu3bvb29u3b9+O380WhvAdhveBZtvtWU1t0Hp1KYqPCsVHheIjYZqmtycGH0hywvfGxoa8e3JyMny/APND5hLT7QBAZ8EH0uvXrwM/5nhcjQIAYiD6tewAABC6BxILrQJAbOgdSP34ahIAaCsmgUQSAYDutA8k+uoAIB60D6QHRBMA6CxGgQQA0Fl8Aulh5W8AgIbiEEj9fXVkEgBoKA6BBACIgVgFkiFsIZjdAABailUgAQD0FZNAetQo4ormAKChmAQSAEB3cQuk+2EkAIBu4hNIj3rtmNcAALqJTyA9sG3GkABAO3EMJIlMAgCtxDCQSCIA0FGsAomRIwDQV6wC6QHRBAC6iWkgAQB0E89AYhgJALQTt0DqX0MIAKCJuAUSAEBTBBIAQAmxDSQWtQMAvcQ2kAAAeolhIHFtJADQUQwDCQCgIwIJAKCEOAfS/bwGlhECAB3EM5DIIADQTjwD6QEX6wMATcQ9kGQakUkAoLyYBxJfjwUAXcQ2kB4NIzGmBADKi20gAQD0koBAYl4DAOgg/oF0H0ZkEgCoLf6BBADQQpwDiakMAKCROAfSA6IJAJSXjEACACgvEYHEhAYAUF/MA6n/Yn0AAFXFPJD6kUkAoKqEBRKzGwBAVUkJJFZZBQDFxT+QaBQBgBbiH0gAAC0kLJAMg3kNAKCmhAUSAEBVCQqk+3kNjCkBgJISEUhkEACoLxGBBABQn99A6vV6lmUFUsoscPVYAFDVFz6ff3p6+uOPP+7t7bk3Li8vZ7NZIUQ2m+17KFqGHEcyDHrxAEA1vgJpbW3t+vr6m2++cW+0LCubzZ6cnPiqK2g0jQBAcb667M7OzvrSSAhhWdb8/PzBwUG1Wu31en6OHxaaRwCgnuAnNfR6vcXFxWKx+OzZs3K5HPjx/aKtBABK8juGNKhYLBaLRSFEPp8/Pz8ftZvhSoVMJhN4GcO0hRCmabaFME3T81H8PDdyFB8Vio8Kxc9Gp9Nxbnv+SA8+kGq1Wjabzefz43ezZ95vJhOw02kLYbQ7HW8dd6ZpttvtgCubFYqPCsVHheIj4TlHgwykRqOxubn54cOHcrm8urp6fX29vr4e4PF9oq8OAFTmN5Dcs7rz+bzM8x9++KHRaLx69SqVSvk8PgAgIYLvspOe7LIDAMAtiUsHcfVYAFBQEgMJAKCgZAXSo4l1zHAAAJUkK5D6kUkAoIxkBxIAQBkJDSSuHgsAqklcIJFBAKCmxAUSAEBNyQ4kJjUAgDKSHUiCTAIAVSQ3kFivAQCUksRAejSvgUkOAKCGJAYSAEBByQ4kLpEEAMpIdCDdhxGZBAAKSGggMXIEAKpJaCABAFRDINFcAgAlJD6QmNcAAGpIeiARRgCgiOQGElePBQClJDeQAABKIZAAAEogkFhlFQCUQCABAJSQ6EDiC0gAoI5EB9IjhsFcOwCIEIEEAFACgSSEM6+BLjwAiE7SA4kMAgBFJD2QAACKIJBcmNQAANEhkO7dDyORSQAQEQKJYSQAUAKB9BjpBAARIZAAAEogkFy4eiwARIdAenAfRmQSAESBQBKCkSMAUACBBABQAoE0gOYSAESBQHrEEMxrAIBoEEj3aBcBQLQIpGFoJAHAzBFIAAAlEEgAACUQSP3ul/0GAMwWgfSAeQ0AECECCQCgBAJpBMNgrh0AzBKBNATDSAAwewTSI4+GkRhTAoAZIpAAAEogkAAASiCQhrtfZZV5DQAwK2EFUq/XsywrpIOHipEjAIhEWIF0enr697//PaSDAwDiJ5RAWltbe/PmTRhHnjWaSwAwK6EE0tnZ2TfffBPGkQEAccWkhpG4eiwAzNIXUb2w4fqsz2QyUZUxVCYjOp32/R3DMB+XZ5pmBDUFhOKjQvFRofjZ6HQ6zm3PH+mRBZKt9vCMu2nUbred26Zpuu/qheKjQvFRofhIeM5RuuwAAEoIq4W0t7cX0pFnyRC2LRhGAoBZoIU0nNodigAQQwTSBJhrBwDhI5AAAEogkJ7AxfoAYDYIpJEYRgKAWSKQAABKIJAmw7wGAAgZgfS0+2EkMgkAwkQgjcMwEgDMDIE0MdIJAMJEIAEAlEAgTYRrIwFA2AikJzzqqCOTACA0BBIAQAkE0jSY1wAAoSGQJsWidgAQKgLpaQ/tIsaQACA0BNJ02p1O1CUAQDwRSAAAJRBIUzCEbWYyUVcBAPFEIE3EGUaiyw4AQkIgAQCUQCBNj7l2ABACAmk6fBsJAEJCIE2KVRoAIFQEEgBACQSSJwwjAUDQCKSp3Q8jkUkAECgCaQoMIwFAeAgkr0gnAAgUgQQAUAKB5IUhbGEYDCMBQIAIpOlkMmbUJQBAPBFIAAAlEEgeGcJmXgMABIhAmhpXNAeAMBBI/pBJABAQAgkAoAQCyTsuRQEAASKQvGA2AwAEjkDyjWEkAAgCgeQLvXYAEBQCCQCgBALJI4aRACBYBBIAQAkEkl+s/A0AgSCQvKPXDgACRCAFhHQCAH8IpAAw+RsA/COQfHm08jfDSADgA4EEAFACgQQAUAKBFAwuIAsAPhFIfjGMBACBIJAAAEogkALD5G8A8MNvILVarV6vF0gp+mLwCAD8+8LPkzc2NlKp1PX19e7ubj6fd7YvLy9ns1khRDab3dvb81sjACABvAfS+fl5KpV6/fq1ZVkHBwdOIFmWlc1mT05OgilQK4awbcOgxQQAHngPpFartbS0JIRIpVKXl5fOdsuy5ufnDw4O5ubmtre35+fnAyhTebbNDDsA8MXXGFIqlZI3VlZWnI29Xm9xcbFYLD579qxcLvuqDgCQGIbttX+pWq0+f/58fX1dCGGaZrvdHtxnbW3t7OxscLtpmp1Ox7mbyWS81aCUTuf+DNjCMGPxGwHAhPo+0ocmwpO8d9ktLS21Wi3xedDI2V6r1bLZrHuOw1CegzBao6JXcnrt2p2OgiNJ44tXHMVHheKjom/xpml6e6L3QCoWi7VarVqtXl5ebm1tCSEajcbm5uaHDx/K5fLq6ur19bVsPwEA8CRf077Pzs4ajcarV6/kYFI+n5d5/sMPP7i3J42ha/MPAKLkK5CEEKO65p7ssoulh7l2TP4GgCmxdFBomAYOANMgkELBunYAMC0CKWB01AGANwRSmOi1A4CJEUhhodcOAKZCIAWPXjsA8IBAAgAogUAKkSFYAxwAJkUghYJeOwCYFoEEAFACgRQueu0AYEIEUlge9dqRSQDwFAIpdHwhCQAmQSCF6KGRxCQHAHgKgTQThkGvHQCMRyDNAr12APAkAilc9NUBwIQIpBlh/jcAjEcgAQCUQCCFjl47AJgEgTQ79NoBwBgE0iywagMAPIlAmilD2HThAcBQBNKMPMQQX5IFgGEIJACAEgikWWPVBgAYikCaHaY2AMAYBFIEaCQBwCACaaaYYQcAoxBI0eBLsgDQh0CaNRpJADAUgRQZGkkA4EYgRYDpdgAwiECKEtPtAMBBIEWDRhIA9CGQIkYjCQAkAikyNJIAwI1Aih6NJAAQBFK0+E4SADgIJCXwnSQAIJAi5jSS6LgDkHAEkkpoJAFIMAIpeo8aSWQSgKQikJTAFHAAIJDUwkgSgMQikFRBxx2AhCOQAABKIJAUQiMJQJIRSGrha0kAEotAUphh0E4CkBwEknJoJAFIJgJJRQwmAUggAklRZBKApCGQAABKIJDURSMJQKKEFUitVqvX64V08OQgkwAkRyiBtLGx8e7du83NzUajEcbxE4VMApAQwQfS+fl5KpV6/fr127dvj4+PAz9+ApFJAJLgi8CP2Gq1lpaWhBCpVOry8jLw4yeT/TmJDGHbhvH4ehUIme8/AtpBHCQqKhavzvs/zDOj4pmfUCYjPH1MBR9IQohUKiVvrKyshHH8ZLKFIb8qSyYFYNj/56O/icypVswUn9LtkD/SeW8MkRGmtyeGEkiWZckbY1pIhuttkslkwigjJKbp8Vz7lcnYnUeZZE5/3iIrPghTFd/udNx3B8KGzxFAOcEH0tLSUqvVEkJYlpXNZkftZuv5B75pmu12O8ICbMOVSZ3p2kmRF+/HyOJdf9m4U8fbn8X2mOf5eMfG88x7oGkHFKZkCo9tjOADqVgs1mq1arV6eXm5tbUV+PGTzrZt8TCe9PkfLdN9ap8/zh43dyb93fvDZvhJS8aZjMrM36j8KRAN0/T23zqULruzs7NGo/Hq1StnMAnBsl2z7eI8pGQY4iF+2pP8df0odfrPSRxPERAjoQSSECKfz4d0ZEjxzKTPHZKfjfyNRgeP/icBSKqwAgkzIDvvnCEl/brvHjWApOHFD4sffX5NAJNhLTvN2Y9mhxjCNgylh47lRQfvf4Q9dKa1LYyHH1vYthC2bWYy4v4OgHiihRQH7qaSUKy1NEk4PjSAaP0ACUYgxYVt2497wIzPn/MzTiUSCIA3dNnFiG0L25Y9Xe7NThdZGB51wY14laFdcPS/AehDCyl2bFsIYQ+ZLyA6nYdlVDxkweSRNjAHgeAB8DQCKaZkLIlRXyYNuMFEAgHwj0CKu89NIXvEEjvTHWzoyjokEIAgMIaUGK6Z07b9eFxn4p+HsR/3DwAEgRZSUhEkABRDCwkAoAQCCQCgBAIJAKAEAgkAoAQCCQCgBAIJAKAEAgkAoAQCCQCgBAIJAKAEAgkAoAQCCQCgBAIJAKAEAgkAoAQCCQCgBAIJAKAEAgkAoAQCCQCgBAIJAKAEAgkAoAQCCQCgBAIJAKAEAgkAoAQCCQCgBAIJAKAEAgkAoAQCCQCgBAIJAKAEAgkAoAQCCQCgBAIJAKAEAgkAoAQCCQCgBAIJAKAEAgkAoAQCCQCgBAIJAKAEAgkAoAQCCQCgBAIJAKAEAgkAoAQCCQCgBAIJAKAEAgkAoAQCCQCgBAIJAKAEw7ZtP89vtVqpVGp+fn6qZ5mm2W63/bxuVAzD7xmLEMVHheKjQvGR8PwJ/4WfV93Y2EilUtfX17u7u/l83tm+vLyczWaFENlsdm9vz89LAAASwnsgnZ+fp1Kp169fW5Z1cHDgBJJlWdls9uTkJJgCAQDJ4D2QWq3W0tKSECKVSl1eXjrbLcuan58/ODiYm5vb3t6etjcPAJBMviY1pFIpeWNlZcXZ2Ov1FhcXi8Xis2fPyuWyr+oAAIkx9aBZo9H417/+9fz5848fPz5//nx9fV2MHsJaW1s7Ozsb3G6aprdyAQDqm9Gkhnw+L4eLzs/PW62W+Dxo5OxQq9Wy2ax7jsMgTafYAQDC42ta4dra2srKyuXl5dbWVrFYbDQam5ubHz58KJfLq6ur19fXxWJRNqEAABjP7zz3RqORSqWcwaQntwMAMJSuX7wCAMRMBEsHtVqtXq83+9f1TLuCR+n1epZlRV3FFLQreJRWq6XRL6JXtWM0Gg29/s/VruAxLMvy8Lv85E9/+lMIxYy0sbFhWVatVtOlQ29UwcvLy41G4x//+Md///vfFy9eRFjh5P72t79dXV3pUq0YUbBeZ77X6/32t7/93//+p0XB46vV6MzLX8S27T//+c8//elPf/7zn0dd0RPGFKzRaXf0er1f/epXf/jDH6Z+pj1D//znP7/99lvbtj9+/Pi73/1uli/tzaiCdanf7de//nUmk/nLX/4SdSGTGlqwdmf++PjY+RW++uqraIt50phq9Trzx8fHx8fHtj5ljypYl/r7fPvtt1999dWPP/447RN9rWU3rVGLOygrTqtRnJ2dVavVqKuYwtCCtTvzq6ur8oYWXTFjqtXrzG9tbckbcvXnaIuZxKiC9TrtUq1We/78uax82ufOegxp6OIOKmM1CqVod+ZlT6/8RsT29nbU5TxhTLXanXkhRLVaffPmjfybUguDBWt32lutVqvVcvJ1WjOdZVetVp9c3EEpkxQ8ajUKBckGh0brr48vWJczX61Wb29vd3d3tfhTfZJqdTnzQoher1coFP79739HXcikxhSsxWkvl8uLi4tCiO+//z6fz29vb0/1tp9pC2lpaenjx49iYHEHZY0quFarNRqN6OpKLu3O/Lt3725vb9++fatFGo2pVq8zf3BwcH5+LoTQoo9LjC5Yr9MuhNja2nrx4sWLFy/m5+eLxeLc3NxUT5/pGFKxWKzVatVqVS7uMMuX9qavYNmV0W63V1ZWnNUoWIpiBvQ983IK9cbGhryr+GVZBqvV9Myvr6+Xy+VWq3V9fa1+T6kYVvDgwjfqn3YhhNPfODc3N34BuaEi+GKsdos4sBqFajjzUdHozPd6vevra12qFWML1ui0+8RKDQAAJUSwUgMAAIMIJACAEggkAIASCCQAgBIIJACAEv4f92I/OEUGVfgAAAAASUVORK5CYII=\n", + "text/plain": [ + "<IPython.core.display.Image object>" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "Ts2 = 0.01;\n", + "\n", + "sc6.ChangeParameters(6,Ts2);\n", + "\n", + "sc6.Reset();\n", + "out7 = sc6.Run([2 6]);\n", + "plot(out7(1,:),out7(2,:),'.-r','LineWidth',3,out7(1,:),out7(3,:),'b','LineWidth',4);\n", + "legend('discrete out','continuous out')\n", + "grid on" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Das kontinuerliche System wird bei einer kleineren Abtastzeit $T_s=0.01$ hinreichend genau abgebildet." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Octave", + "language": "octave", + "name": "octave" + }, + "language_info": { + "file_extension": ".m", + "help_links": [ + { + "text": "GNU Octave", + "url": "https://www.gnu.org/software/octave/support.html" + }, + { + "text": "Octave Kernel", + "url": "https://github.com/Calysto/octave_kernel" + }, + { + "text": "MetaKernel Magics", + "url": "https://metakernel.readthedocs.io/en/latest/source/README.html" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "4.2.2" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/notebooks/alt/V09_zustandsrekonstruktion_mittels_beobachter.ipynb b/notebooks/alt/V09_zustandsrekonstruktion_mittels_beobachter.ipynb new file mode 100644 index 0000000000000000000000000000000000000000..6c85ec6df0129affe22945ee920a122647f4cad9 --- /dev/null +++ b/notebooks/alt/V09_zustandsrekonstruktion_mittels_beobachter.ipynb @@ -0,0 +1,925 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# <span style='color:OrangeRed'>V9 - Zustandsrekonstruktion mittels Beobachter</span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #1 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Für das System:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "pkg load control" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "A = [-2 1;\n", + " 0 -1];\n", + " \n", + "B = [1; 1];\n", + "\n", + "C = [1 0];\n", + "\n", + "D = 0;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "soll ein Beobachter entworfen werden mit den Polen: $s_{1,2}$ = [-10+1j*5 -10-1j*5]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "poles = [-10+1j*5 -10-1j*5]\n", + "% po = [-5+1j*5 -5-1j*5] % Beobachterpole" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "So = [C; C*A]\n", + "rank(So)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Zunächst prüfen wir die Beobachtbarkeit und die Beobachterverstärkung wird berechnet zu:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "G = place(A',C',poles)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + " Durch die Matrix <code>G</code> ändert sich das dynamische Verhalten des geschlossenen Systems\n", + "mit Beobachter.\n", + "<br> bestimmen wir die Eigenwerte für das System mit Beobachter:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Ao = A-G'*C\n", + "eigs(Ao)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Bo = [B G']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + " Veranschaulichung durch Simulink:" + ] + }, + { + "attachments": { + "V9_Update-1.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "% Simulink model A\n", + "% Set the Octave Engine to run the simulation\n", + "% Simulation Parameters\n", + "addpath(\"./Octsim\");\n", + "% Start time\n", + "tini = 0;\n", + "% End time\n", + "tfinal = 10;\n", + "% Time Step\n", + "dt = 0.001;\n", + "% Number of data flows in the schematic\n", + "nflows_1 = 12;\n", + "% Initial conditions\n", + "xo_1 = [2; 1];\n", + "xo_2 = [0; 0];\n", + "\n", + "% Matrices\n", + "C2 = eye(2);\n", + "D2 = [0;0];\n", + "Do = zeros(2,2);\n", + "\n", + "% Instance of the simulation schematic\n", + "sc1 = Schema(tini,tfinal,dt,nflows_1);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<br><span style='color:Orange'>SquareSignal Function Definition:</span>\n", + "<br><code>SquareSignal(1.argument = output, 2.argument = high, 3.argument = low, 4.argument = frequency , 5.argument = duty cycle )</code>\n", + "<br>Der Tastgrad (eng. Duty Cycle) wird als Verhältniszahl mit einem Wertebereich von 0 bis 1 oder 0 bis 100 % angegeben. Hier 50 (default)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "c1{1} = SquareSignal(1,10,0,1,0.5); %input" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "c1{2} = StateSpace(1,[2 3],A,B,C2,D2,xo_1); % original system\n", + "\n", + "c1{3} = StateSpace(1,[4 5],A,B,C2,D2,xo_2); % erroneous system\n", + "c1{4} = StateSpace([1 8],[6 7],Ao,Bo,C2,Do,xo_2); % observer system\n", + "\n", + "c1{5} = Gain([2 3],8,C);\n", + "\n", + "c1{6} = Sum(2,4,9,1,-1);\n", + "c1{7} = Sum(3,5,10,1,-1);\n", + "c1{8} = Sum(2,6,11,1,-1);\n", + "c1{9} = Sum(3,7,12,1,-1);\n", + "sc1.AddListComponents(c1);\n", + "\n", + "% Run the schematic and plot\n", + "out1 = sc1.Run([1:12]);\n", + "time1 = out1(1,:);" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plot(time1,out1(3,:), time1,out1(4,:));\n", + "legend('State-Space 1, x_{dot}','State-Space 1, y')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plot(time1,out1(10,:),'r',time1,out1(11,:),'b');\n", + "legend('Reale System','System mit falsche Bedingungen vor t0')\n", + "grid on" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plot(time1,out1(12,:),'r',time1,out1(13,:),'b');\n", + "legend('Offene Kreis','System mit Beobachter')\n", + "grid on" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #2 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Für das System der Zustandsraumdarstellung:\n", + "<br>$\\dot{x}(t)$= $Ax(t)$ + $bu(t)$\n", + "<br>$y(t)$=$c^Tx(t)$\n", + "<br>Mit Matrizen:\n", + " <br> $A$ = $\\left[ \\begin{array}{rrrr}\n", + " 1 & 1 \\\\\n", + " -2 & -1 \\\\\n", + " \\end{array}\\right] $\n", + "<br><br> $B$ = $\\left[ \\begin{array}{rrrr}\n", + " 0 \\\\\n", + " 1 \\\\\n", + " \\end{array}\\right] $\n", + "<br><br> $C$ = $\\left[ \\begin{array}{rrrr}\n", + " 1 & 0 \\\\\n", + " \\end{array}\\right] $\n", + "<br><br> $D$ = $0$ \n", + "<br>vergleichen wir das dynamische Verhalten\n", + "vom geschlossenen Regelkreis ohne und mit\n", + "Beobachter." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "A = [-2 1;\n", + " 0 -1];\n", + " \n", + "B = [0; 1];\n", + "\n", + "C = [1 0];\n", + "\n", + "D = 0;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Zunächst prüfen wir die Steuerbarkeit:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Sc = [B A*B]\n", + "rank(Sc)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Dann wird die Beobachtbarkeit geprüft:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "So = [C; C*A]\n", + "rank(So)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Gebe nun für den geschlossenen Regelkreis diese zwei Pole vor:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "pc = [-5+1j*5 -5-1j*5]\n", + "K = place(A,B,pc)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Der Beobachterpol beträgt:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "csi = 0.8;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Wähle die Grundfrequenz zu $\\omega_0$ = 10:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "omega0 =10;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Definition von Beobachterpolen in Bezug auf die Grundfrequenz $\\omega_0$ um das dynamische\n", + "Verhalten zu ändern:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "poles = [-csi*omega0+1j*omega0*sqrt(1-csi*csi) -csi*omega0-1j*omega0*sqrt(1-csi*csi)]\n", + "G = place(A',C',poles)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Berechne die Beobachter Eigenwerte:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Ao = A-G'*C\n", + "eigs(Ao)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Bo = [B G']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Wir arbeiten nun mit folgendem Simulink Modell:" + ] + }, + { + "attachments": { + "V9_Update-2.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "% Simulink model A\n", + "% Set the Octave Engine to run the simulation\n", + "% Simulation Parameters\n", + "addpath(\"./Octsim\");\n", + "% Start time\n", + "tini = 0;\n", + "% End time\n", + "tfinal = 5;\n", + "% Time Step\n", + "dt = 0.01;\n", + "% Number of data flows in the schematic\n", + "nflows_2 = 11;\n", + "% Initial conditions\n", + "xo_1 = [2; 1];\n", + "xo_2 = [0; 0];\n", + "\n", + "% Matrices\n", + "C2 = eye(2);\n", + "D2 = [0;0];\n", + "Do = zeros(2,2);\n", + "\n", + "% Instance of the simulation schematic\n", + "sc2 = Schema(tini,tfinal,dt,nflows_2);\n", + "\n", + "c2{1} = StateSpace(3,[1 2],A,B,C2,D2,xo_1);\n", + "c2{2} = Gain([1 2],3,-K);\n", + "\n", + "c2{3} = StateSpace(6,[4 5],A,B,C2,D2,xo_1);\n", + "c2{4} = Gain([7 8],6,-K);\n", + "\n", + "c2{5} = StateSpace([6 9],[7 8],Ao,Bo,C2,Do,xo_2);\n", + "c2{6} = Gain([4 5],9,C);\n", + "\n", + "c2{7} = Sum(1,4,10,1,-1);\n", + "c2{8} = Sum(2,5,11,1,-1);\n", + "\n", + "sc2.AddListComponents(c2);\n", + "\n", + "% Run the schematic and plot\n", + "out2 = sc2.Run([1:11]);\n", + "time2 = out2(1,:);" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plot(time2,out2(2,:),'r',time2,out2(3,:),'b');\n", + "legend('State-Space:1','State-Space:2')\n", + "grid on" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plot(time2,out2(8,:),'r',time2,out2(9,:),'b');\n", + "legend('State-Space 2:1','State-Space 2:2')\n", + "grid on" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "<b> Aufgabe </b>: Wiederholen Sie nun die Simulation mit $\\omega_0$ = 1, d.h. langsamer!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "% Update values with new omega\n", + "omega1 =1;\n", + "poles = [-csi*omega1+1j*omega1*sqrt(1-csi*csi) -csi*omega1-1j*omega1*sqrt(1-csi*csi)];\n", + "G = place(A',C',poles);\n", + "Ao = A-G'*C;\n", + "eigs(Ao);\n", + "Bo = [B G'];\n", + "\n", + "% Start time\n", + "tini = 0;\n", + "% End time\n", + "tfinal = 5;\n", + "% Time Step\n", + "dt = 0.001;\n", + "% Number of data flows in the schematic\n", + "nflows_2 = 11;\n", + "% Initial conditions\n", + "xo_1 = [2; 1];\n", + "xo_2 = [0; 0];\n", + "\n", + "% Matrices\n", + "C2 = eye(2);\n", + "D2 = [0;0];\n", + "Do = zeros(2,2);\n", + "\n", + "% Instance of the simulation schematic\n", + "sc2 = Schema(tini,tfinal,dt,nflows_2);\n", + "\n", + "c2{1} = StateSpace(3,[1 2],A,B,C2,D2,xo_1);\n", + "c2{2} = Gain([1 2],3,-K);\n", + "\n", + "c2{3} = StateSpace(6,[4 5],A,B,C2,D2,xo_1);\n", + "c2{4} = Gain([7 8],6,-K);\n", + "\n", + "c2{5} = StateSpace([6 9],[7 8],Ao,Bo,C2,Do,xo_2);\n", + "c2{6} = Gain([4 5],9,C);\n", + "\n", + "c2{7} = Sum(1,4,10,1,-1);\n", + "c2{8} = Sum(2,5,11,1,-1);\n", + "\n", + "sc2.AddListComponents(c2);\n", + "\n", + "% Run the schematic and plot, now having omega:=1\n", + "out2 = sc2.Run([1:11]);\n", + "time2 = out2(1,:);\n", + "plot(time2,out2(8,:),'r',time2,out2(9,:),'b');\n", + "legend('State-Space 2:1','State-Space 2:2')\n", + "grid on" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Differenz der Systeme:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plot(time2,out2(11,:),'r',time2,out2(12,:),'b');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## <span style='color:Gray'>Beispiel #3 </span>" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Nun arbeiten wir mit einem diskreten System. Für das System mit der Zustandsraumdarstellung:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "A = [-2 1;\n", + " 0 -1];\n", + " \n", + "B = [0; 1];\n", + "\n", + "C = [1 0];\n", + "\n", + "D = 0;" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "und der Abtastzeit $T_s=0.1$ wollen wir das dynamische Verhalten vom geschlossenen Regelkreis ohne und mit Beobachter vergleichen." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Zunächst prüfen wir die Steuerbarkeit:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Sc = [B A*B]\n", + "rank(Sc)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Das System ist zeitdiskret. Infolgedessen führe folgenden Berechnungen durch:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Ts = 0.01;\n", + "\n", + "pc = [-5+1j*5 -5-1j*5];\n", + "pcd = exp(pc.*Ts);\n", + "Ad = expm(A*Ts)\n", + "Bd = (Ad-eye(2))*inv(A)*B" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Reglerentwurf:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "K = place(Ad,Bd,pcd) " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Die Beobachtbarkeit wird geprüft:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "So = [C; C*Ad]\n", + "rank(So)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Beobachter Eigenwerte:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "poles = [0 0];" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Es handelt sich um einen <span style='color:OrangeRed'>Deadbeat Beobachter</span>!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "<div style=\"font-family: 'times'; font-size: 13pt; text-align: justify\">\n", + "Beobachterpole:\n", + "<br><span style='color:Gray'>Hinweis</span>: Verwende Funktion <code>acker</code> anstelle von <code>place</code>!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "Gd = acker(Ad',C',poles) \n", + "\n", + "Aod = Ad-Gd'*C\n", + "eigs(Aod)\n", + "Bod = [Bd Gd'];" + ] + }, + { + "attachments": { + "V9_Update-3.png": { + "image/png": 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KDo3+D29+SP/pH25jc1uTpIJRiJb90Bd893mTEWAEHhACzDUfEPB82QeFQCHXfMT9/G/ffedvL7zwtzd/8zbeuDACFYjA8b+98MJx0e6fmH7zk/BPRqFp6of1D+o7xtdlBBgBRqAAAeaaBXDwxsOPwIaNO0WmFcygbz5w+MiHrzz2zjtPvXD8nQ9+evz4T5/6KZWnlHexwZuMhnIjlOe98dTxD56iIobpnXfe+clPfuLrksA1x8Z4Dv3hf55xDxmBikCAuWZFDBM3sngIbNj4zDNENgXXVL/1/E//9tM3vvjii5fPfvryyy8/gZdYiDd5Y+E2HZP3MW8yGlkEHtDN8AQK2vDFy1/89v/97Lc3HhuMGzT64TmOeVS8xwbXxAgwAveDAHPN+0GPz61ABKBr5rjmgSPPv/DC65/2v/dpf/+1s/1cGIFKRuBm/833nn9+5JXBgeelsWEN65oV+HziJjMCDyUCzDUfymHlTi2NQM5e89FHESTm+Rd++srNS739/fX9/XVb5VJLbzXZhdhcuL3gY95UEFsMOwanROCI27Wubiu96uvrL83jPoaX0G9/95hRUulV7Ie+9GOAP2EEGIG1RIC55lqizdcqAwRyeYOIax4x/vSxV/b01lc3NzRvra2u4cIIVBYCW+vqm2trG2q31m6tq62dr63tPfjF27+6qTvC8TXL4GnDTWAEGAGBAHNNvhHWLQKPgmweef6nj53e01u9Db/Xm0AyqvjFCFQUAjW1zTt27Hh22zaFIm+rP/gycc3Dh9WP7l63323uOCPACJQVAsw1y2o4uDFriYDMNU8+dvqjo9Xbm5vBNasqS9Li1jICVTWb8rlmVc22o71fvP3u82+Ba+5mrrmWzxO+FiPACCyJAHPNJaHhDx52BBSu+c7pm0eha+5lXbOi9DxWoGUEFtE1fybrmo8y13zYH2HcP0agUhBgrlkpI8XtLDoC4JqHjzwPXXMP65osEFYoAnfrmvWw13z3JuuaRX9ecIWMACOwagSYa64aOj6x0hHI6pof9W5nXZN1wspEYHFd83mkRWdds9KfUNx+RuChQYC55kMzlNyRlSIArvlomnRNzKGzvWaF6nrrvdlL6ppH2F5zpQ8EPp4RYARKhQBzzVIhy/WWPQKKrnkSvkGsa7KtZoUiwLpm2T9ouIGMACPAXJPvgXWLALimbK/JuuZ6Vwcrt/+sa67b5xd3nBGoIASYa1bQYHFTi4uAomu+A9+g/WyvWZnWitxq1jWL+1Tg2hgBRqAECDDXLAGoXGVlIJDVNTm+ZuXqeuu95axrVsbDhlvJCKxvBJhrru/xX9e9z+qaN9lek/XBSkWAdc11/RDjzjMClYEAc83KGCduZQkQANeU/dBZ11zv6mDl9p91zRI8GbhKRoARKDICzDWLDChXVzkIKLrmScQ8Yj/0CvXCrlQ1snjtZl2zcp443FJGYN0iwFxz3Q49dxxck/MGVa6ixy0nBFjX5AcZI8AIlD8CzDXLf4y4hSVCQNE13+H4msVT2bimtUaAdc0SPR64WkaAESgeAsw1i4cl11RhCGR1TY6vyRphpSLAumaFPXW4uYzAukSAuea6HHbuNCGQtdfk+JpsrVmxCLCuyU8zRoARKHsEmGuW/RBxA0uFQFbXZD/0SlX1uN2sa5bq8cD1MgKMQPEQYK5ZPCy5pgpDIGuvyX7oFavqrbV1ZPldj3XNCnvscHMZgfWIAHPN9Tjq3GeBALgmx9dkZbCyEWBdk59mjAAjUP4IMNcs/zHiFpYIAdY1y0+l4xatFAHWNUv0eOBqGQFGoHgIMNcsHpZcU4UhAK7J8TUrW9Xj1rOuWWFPHW4uI7AuEWCuuS6HnTtNCCi6JvIG7eO8QWyxWaEIsK7JTzNGgBEoewSYa5b9EHEDS4VAVtdkP3TWBysVAdY1S/V44HoZAUageAgw1ywellxThSHA9portQ3k48sPAdY1K+yxw81lBNYjAsw11+Ooc58FAuCash/6nqPV25ubazdhFpULI1BRCLCuyU8zRoARKH8EmGuW/xhxC0uEgKJrnuR86OWn1nGLlosA65olejxwtYwAI1A8BJhrFg9LrqnCEADXlP3QOR96RUl53Ng8BFjXrLCnDjeXEViXCDDXXJfDzp0mBBRd8x3WNZerofFx5YcA65r8NGMEGIGyR4C5ZtkPETewVAiwrpmnj/FqZSLAumapHg9cLyPACBQPAeaaxcOSa6owBFjXLD+Vjlu0UgRY16ywxw43lxFYjwgw11yPo859FgiwrlmZUh63Og8B1jX5acYIMALljwBzzfIfI25hiRBQdM2Tp/cc5bxBFZo1Z6Uq4MN3POuaJXo8cLWMACNQPASYaxYPS66pwhDI6pqcNyhPKOPVikKAdc0Ke+pwcxmBdYkAc811OezcaUIga695k3XNh0/vWy89Yl2Tn2aMACNQ9ggw1yz7IeIGlgoBcE05bxDrmhUl5XFj8xBgXbNUjweulxFgBIqHAHPN4mHJNVUYAqxrrhft72HuJ+uaFfbY4eYyAusRAeaa63HUuc8CAXBNOW8Q50PPE8p4taIQYF2Tn2aMACNQ/ggw1yz/MeIWlggBRdc8efrmPvZDZz/0CkWAdc0SPR64WkaAESgeAsw1i4cl11RhCGR1TbbXrCgpjxubhwDrmhX21OHmMgLrEgHmmuty2LnThADbaz7MdozrpW+sa/LTjBFgBMoeAeaaZT9E3MBSIQCuKfuhs71mnlDGqxWFAOuapXo8cL2MACNQPASYaxYPS66pwhBQdM2Tpz/i+JrrRQV8+PrJumaFPXa4uYzAekSAueZ6HHXus0AAXFP2Q795tHp7c3PtJniHcGEEKgoB1jX5acYIMALljwBzzfIfI25hiRBQdM13WNd8+NS+9dMj1jVL9HjgahkBRqB4CDDXLB6WXFOFIcC6ZkUpeNzYxRBgXbPCnjrcXEZgXSLAXHNdDjt3mhBgXXP9qH8Pb09Z1+SnGSPACJQ9Asw1y36IuIGlQoB1zcWEMt5XUQiwrlmqxwPXywgwAsVDgLlm8bDkmioMAUXXPHl6D/uhP7y638PeM9Y1K+yxw81lBNYjAsw11+Ooc58FAlldk/MGVZSUx43NQ4B1TX6aMQKMQPkjwFyz/MeIW1giBLL2mjdZ13zY1b+Ht3+sa5bo8cDVMgKMQPEQYK5ZPCy5pgpDAFxTzhvEumaeUMarFYUA65oV9tTh5jIC6xIB5prrcti504QA65oPr9q3fnrGuiY/zRgBRqDsEWCuWfZDxA0sFQLgmnLeIM6HXlFSHjc2DwHWNUv1eOB6GQFGoHgIMNcsHpZcU4UhoOiaJ0/f3Ld9W/Ne5KisQZZKfjEClYQA65oV9tjh5jIC6xEB5prrcdS5zwKBrK7J9pp5QhmvVhQCrGvy04wRYATKHwHmmuU/RtzCEiHA9pqVpN9xWxdHgHXNEj0euFpGgBEoHgLMNYuHJddUYQiAa8p+6GyvWVFSHjc2DwHWNSvsqcPNZQTWJQLMNdflsHOnCQFF1zx5+iOOr7m4ZsZ7yx8B1jX5acYIMAJljwBzzbIfIm5gqRAA15T90G8erd7e3AzfoKo8wYhXGYEKQIB1zVI9HrheRoARKB4CzDWLhyXXVGEIKLrmO6xrlr96xy1cCgHWNSvsscPNZQTWIwLMNdfjqHOfBQKsa1aAbsdNvDcCrGvy04wRYATKHwHmmuU/RtzCEiHAuuZSWhnvrxwEWNcs0eOBq2UEGIHiIcBcs3hYck0VhgDrmveWzPjTCkCAdc0Ke+pwcxmBdYkAc811OezcaUJA0TVPnt7DfuiVo+NxSwsRYF2Tn2aMACNQ9ggw1yz7IeIGlgqBrK7JeYMqQMDjJi6KAOuapXo8cL2MACNQPASYaxYPS66pwhDI2mveZF2zUCvjrcpBgHXNCnvscHMZgfWIAHPN9Tjq3GeBALimnDeIdc1FJTPeWQEIsK7JTzNGgBEofwSYa5b/GHELS4QA65qVo95xS5dCgHXNEj0euFpGgBEoHgLMNYuHJddUYQiAa8p5gzgfegUIeNzERRFgXbPCnjrcXEZgXSLAXHNdDjt3mhBQdM2Tp2/u276teS9yVNYgSyW/GIFKQoB1TX6aMQKMQNkjwFyz7IeIG1gqBLK6JttrLiqZ8c4KQIB1zVI9HrheRoARKB4CzDWLhyXXVGEIsL1mJel33NbFEWBds8IeO9xcRmA9IsBccz2OOvdZIACuKfuhs71mBQh43MRFEWBdk59mjAAjUP4IMNcs/zHiFpYIAUXXPHn6I46vubhmxnvLHwHWNUv0eOBqGQFGoHgIMNcsHpZcU4UhAK4p+6HfPFq9vbkZvkFVi0pHZbCzNldqaFU0KbdvDdbqiolCdW1tQ20tllRqRI/k9TJeLux/pqnVCz9Y223WNSvsqfOQNleNQl2j9+KWzWq9Xqkxhx3tyG3xWgUgwFyzAgaJm1gaBBRd850K0DXre3t76+vrt9RW4VXbUFN16NChqurq+qP71qg01NXV7cWrDpwzo/VlSFVme9nvu45tOXHiRP2xLfXV81upVMtlS/222k1l+qoSDc0u6rbOV9diAE70HjuWBWTZABTxDDD15h07djy7bZsyHNvqD/7s7V89/9aRw4/u3l2aLw7XyggsRCCt0ctcU6VNF5lrqtw6dVqjVqXz2CVzzYUDUPbbzDXLfoi4gaVCoIJ0zaNHe3uPHt2yhWRAWVCrr6+tr9+37+i+o2tR9u0FzaR/e/c2NDTIsmqGaq78HcS5t/dgb31v/fx8PdG3+eqt9NqypXpbuZbqLM0UK1BlGzrrt8yf6L0zv3IAingG65qlejxwvStBQJXWq1QqvVqvSquKyjVVar1Oq9dq1SpNWp9tkVotU9vsDl4pdwSYa5b7CHH7SoZABemaoJoy14SuWVOFyefOzobOBtI0m9eEnDVX74J9ARHOhs7Gxjqhy2UJ00rlvJozH/XOH5uv7z8IabMTfBNll3hVb99+qExf1btEO+XF1urO+rr+xoPzx3r7T0BlfoAv1jVL9nzgipeNAFE/dVqnBeHUFJVpqvVaoq5pcE19vmJKc/XLbh0fWA4IMNcsh1HgNjwQBCpI17yU4Zpk3lhVu7ehE2QTc7hbttWuDddsEFfcW1Nbg5n0+9Q1t166Mw+ueekMGGcvCCcVUjpR1sgiYDWXEc3MLjrrQZYvHUP7P+rMku4HscK65gN5dvBFCxAQJpX6dFqllwy6tL6IJS0R2dRDMVWrNenNauUl3gqawBtljgBzzTIfIG5e6RBQdM2Tp/eUvR86uNglMYcu7DVraCJ7bz1UwO2Kf03GUaVk77hgZ11DXRU01b3gmqTkZctKZb2aXfOglfMnfnj2o/fO/vDqp5/iX6ZcxUZ5vpRWnv306lm8rp7t7+3tvzTfe+JEw0r7X9zj2V6zdE8IrnmZCKj1Gsx1azDLLRlI3CzeC2KpKkNdMTtPHFOUZTaMDysbBJhrls1QcEPWGoGsrln+eYOOYgY9a68Jo8maGnjTbN++ZUv9GrnSHNoFZ6RD1VU10FTv016zqmb+xNVP3+t/74MPXv/gMfn11GP0wj9svlSWL2oeGif+PfX6U8c/ePnTa2ev9dfv0u3Kku4HscK65lo/Nvh6dyOgVmOSO63TaWUiWMwluKUqrdFoUTLu6FT93W3gPeWNAHPN8h4fbl0JEcjaa94sf13z6CV4BsEfSOiatbVVEBirj+47ePDgFqyWvlRj8riaIhVh7r6zQXZFzzKrlep0NfOX+s/0//CFr//78/OfV2g5//XHr1/rP4HgAPNbV9r/4h7PumYJHxFc9XIR0On0eg245ma1MLAsGtuEQqrXavTkeARVk0qm6uW2jI8rDwSYa5bHOHArHgAC4Jpy3qDy1zX3ixn0epoxFxQPqmYtMc2DvVuqD63Bq7qxsbOhmfyCGhuLoGveAdt88elb43jdunzrVnv2daucSzu1lNqLfz23vn7100vz9TL1ztLutV9hXfMBPDn4knchoJV0OslgcOsks1kqYnEb3KiWKiQeK/RMLCni5l1N4B1ljQBzzbIeHm5cKRGoKF2TZtDrIWjCDx2ldhviHe07uv3YHVlqJLmxpKXxROe+fWS02bC3qkq218xabK5Up6vpPDF/7NIXv7x8/sqTb77wwtsvXPjNby5cuPCfF/7zP//zN78R//4Tb+XzojZRQTtR3vzbm7++fj7w+a+feO/atf7O+QwaK4WhOMezH3opHxFc93IRUEupUduN+FSoa2LqRhFLfMo2eiN+AzWn0oq0Cc6ph7/QclvGx5UHAsw1y2McuBUPAAFwTTlvUPnnQ68nqonQ57KqSTaTCOxevf3O9jv18BJagxesRaGjNtTW11RXZUnmKlW8qs6Dx+b7X79+60d/e/nmhzebbj7f9HxTSpSmpufbnm/CrvJ5taFFaNPzTSgp/L+Zupn69KmvA59//PrLZ8/218/fLxyrRFE5jXXNB/Dk4EvehYA+5UsODQ1ZhoZmZhLFLDNDkQSqHLL6Rs0S/I5AMlnXvAv+CtjBXLMCBombWBoEFF3z5Omb+7Zva96LHJW5nDjFEZ2KVks9MU2Ya1J0TShZ0Bfrq3ft2n70BFzo16Qcu7Tl4IkTB7fR5D3m8e+vY9WQNT86/qPxK6/ceevA4QP6A5gV271790W8MCaPPnqxrF6iSY8+ult9WP3IYfXhA488cuCtTz8JBK4f/+Lls51b5w/dJxr3hyXrmqV5OHCtK0EAvkFxe99ka2tPD/7R/2L9Q02tPZNYnPKbbGY3wqlTaZ0AACAASURBVLqLKXTWNVcyPGVxLHPNshgGbsSDQAAkQtY1y99ek7jmtnpkECc1q6q6Brrm9mO9H336xbtrVF55F+7hb3xx9kyDiHmkiGqrfOtsnJ/vf+X6ra9e+fCtIxAphncPD1/850WUIxmaqRC8MnhDi6hVuy9e1F9EO8lS7LD20x8FA9efevHls/119fcZbXSVGGZOY13zQTw6+JqFCOg16ZA9Gh1ydHQ4OhxFLaLGZIe1x28KpWAPSsom/IV4Dr1wBMp/i7lm+Y8Rt7BECIDIPHLk+ZPvnK4AP3ThhK7ImsIhfN+W7b2fnnz/y99/9eXvv/zq9yUuX/3+q6+uXPny16+fPXGmk0IuKQqwsB9dsTDXeKa++tIXxDUNbx05chE8M1MuPnpk95FHjxC9K5MXGrObGnURzaQyfHFYr35rVOiab7x89UxnZx3rmiX6gnK1lYIAsvt0WQN2p2wJk7+E3cmKXzhftqmhpTGVakulWrpb/b74SJNBokCeRDU5R2Wl3BxKO5lrVtiAcXOLhwCJZunnTz6GWO7V25ubMYf+YE3vMlLVIu/QNYVjEH2EGXQEHzpx4tL2X1wPjLf2jI+PY8aqFWW8B2uYcirBshUX6ek5/+tfXLt6DYnRM02k2PGZ9eW/19VunW+ArnnlV3eOQNUcvjj2zD9fw+uZf17EVDoV8LvyeNFs/hFqkV7mmaRugmuOgGv+/m0Im/11dVkwlg9AEY9kXbN4DwSuabUIqNVjXVa/NaTRnRujotFqNGPya1g1vLJ/YxpJNzym0UmSZhg1zVF9c+YL44GO6RZjm1tDgeIxj56XHH21rebz1hIB5ppriTZfq6wQUHTNk6c/Kvv4msTpqmRZs4q4ZvW2gwe33/nhl4Hx85989dXPP/nkylefXPk5tEfxjxZYK+byyldffn1+PPjjN85ePYM0lSBLIqhnbXX9ilXNmqq6rVXzB8E1E68Yjuy8uPOZXCGTzfJ6oTlyi3bmlbdGZwKXr/z6+Gcvn6mr28q6Zll9rbkxDwIBVcjqt3RtFDPciLCpVyFhJRihoIV4X0nRoxLlfH1ak8ap+jG3qTXgdYZaUgZKI0T+QSr9g+gmX3PVCDDXXDV0fGKlIwCuKdtr3ix7XVOEcFdU19o6JELffvTosWM/vH7+8n+OwjnaiIkmKk1tKE14ye/FW6LGD3/248vnf/nBVZhsyromyGb1NhiRrlykq9u6db7+lS+haxr0O0E1X0OR+WYenyu71X/u/Kegxf/cufMc5tAvf/L+315/or8BodwfZGFds9IfQw9H+zGHDq5JaqNao1Nt3iyzRFmCXAnRJGYJLonM6liqVBptmvzOh92mcVfENNVlBNfEISKi+8MB3LrpBXPNdTPU3NGFCCi65juVoWtC1pQFtNq9tbXbqhEE6ehvr38eOGmYm5uTJCzwJpYlWUhvvfXhyVuXr7z92RNXzzRmdE3imqvQNWtr56sPvvLcrcQEdM1CrrmxXItMfZ/5JzgxuObIjAtc89UPXrxWN8+65sIvFm+vPwSyXFO9GSyRuGBaCwlyhTRTHK7XajWIpalFykvMl0PXRGXQNaNDPk98xCynJcIuDrBZWXcZc83KGi9ubRERqDBdM2NNiul0xLncd/DoidPXz5/3GMZeO/fa7D+fGXttWBEHc1PSxVr758W33nrrvx67dfmTX3/w4tVrDcQ14Q5fXU1mpCtX9bbWzs/3yrqmSqGaoungcxvKtezEZL+saz6z85lzo+CaX3/zN+KarGsW8SvJVVUqAmSvKXTNjJe4mpRNop0rfhHXhKypQgZ0/Kc5dPUGCVzT4ghP2dqUFJiVitP6bTdzzfU79uu+5xWmaxK9U5TNhoZ9+w723nz39+eDTvPc7Ozc3GvP/HP23DlS3YbxKnq5ePGt/3rr3VuXv3zz9Tega96mtoBrUtTPleuaNbW11Yh59Fzf0K8Mw/8UM+hENUk53F22NyVm9oS0KRo6B12z/ZNv3nzqZdY1y3bEuGFriYAqZFG45maZIJLyqFYJo01aW0HR505Sud3gmmCsMtc0Tdva5mDMSfPrrGuu5fAW4VrMNYsAIldRmQhUkK4JxyBimnI5tB1c8+ilo3ve+FJwzddemz33zM7h12ZfGxN0qPiL4YuPnpPuvARd8/3jx188K+bQSdckrrliXbOqBlTzEumaP58wjMnWmgrX3F3GXBPh5nfKyubOZ+ZawDVnoGt+ca2Tdc3K/PZzq4uKAObQg4quqVdBlUR+9PRmdVqnWQHJLDwU1aj0Gg1opV4/LLhmh2mgqw3B3IUVKPRSLpWEAHPNShotbmtREVB0zZOIeVTueYNIRxT/SUXctasWXHP7naOnwTVPGl57bfjcaxs3DlPZKf8rOtscPndOkk7Gbn3+8auvfgaueTujax6tF6mMViJuImoTyGavrGuOkRRLhZqM35oD5VoeQeP0wzKw/5wbtcBe85sXoGvWb2V7zaJ+K7myikRA9kOHbxBZV2ICXCfptBqthODr2hW/dDhZl06nNYilSQWkk+w1LcQ1m2Rdk4TNisRp/Taaueb6Hft13/Osrln+eYMUpqnomtUNB/cdvXPszm+vQ9d0j6nAMOFSg0neMUE4S7A4J/3Xxf966db4+efefPXFa4ofOumaR7esTtecP5HVNbNcc7f60XLmmo/iN5RsNv+587XXYK8ZnXn/hdefeEC65tbOfvlewI2xqXnHjh3PbtsmdlTVbKs/+MXb795868hh5P1c999xBmCNEMj5BoEFwnscbkE6s4jFblxxSY2MGtsQtF2j1cKtHeGNBNdstzhMA7Ym0jVl9/Y16hlfpjgIMNcsDo5cSwUikLXXLP+8QeAROV2zqrbz4MHe/Xd2/PY56JruMb1+TP77H4/gEhWVNHfxv34V6zt//c3jOV0TVHNVumZ9fVbXzJM1IVUg1Xi5lkeoqBXBeK4FuubP33/hsSeKrmv213+fTlr/7f/84Qco3/3PP0hOrqnN55o1xDV/9vavngfXfFTmmrOzFfjd5CZXGAI5rgldE15BOkOLp7vDm1xN8UYiXofpBtyA0iL/eUbXBNfsSs3hWcf2mhV2d1BzmWtW4KBxk4uDALimnDeownTNGnDN3oNHjyLmEXRNQ/qwWpMGDzoCJUswouIvHr04J10896tbtz5/7m3BNUlDqyJZE1xT6Glicfvvf/7jd3/O25H7KG+tqqa+fn7Lh/m6JigcTYqh4eVKNQ8IUPErR8LmP18bTUDXFPaaRYyvWfeXf30HDvmH7/711zy4FqzW/kMQTSKboJv/e09dc8PGP/35O3Hcv/5SnK8M18IILI5Anh86/uRVacxx35DfFY1GXSsu0Wh7uytodQyYNXr4BtGTYdh9oVXoml0pCWagIgwSz6EvPhLlupe5ZrmODLer5AhUqq5J9o7be3t7P/zZc58HHnMfUavfSh8uKdd8RH3u3DnDyb5b/3397eMvXs34oS/QNWu/JV7zg37wn3u9asA1tyBvkPBDl3VNEDj8fjxaEVwTvPif5BsU/eSb33xQRHvN+m/zSOQf+5dC8N8C48ziD3+vXVrXnJXHQz72z/9X8u8TX2AdI5Dnh641aLRmj9fq91tmhoaGEit8DSUSQ16L3eWfMdmQ6lJwTYqvGcMc+jRxTQqiJCIprWO4K7DrzDUrcNC4ycVBAFxTzhtULvnQKRPlEqUa+ymau1wgKULW3PGLLz8PvmM4rD6cBt9UHy7UM9XyvHo6TXIhPi4sKuxVH1HR23LKoxfBNcMxcM03hR96HbWjtnb/0aP7Mm2q+esfZVaTsSRcoifUjfotlw6Srvkrw9hOxTFIqJqwzFIfUJOQgaLSqA4coD1yWVTxhNCYPYBWceoBOlXZqdJTDTACxT6cLyrSi4vkaqPL4XAYh6nUGg0dQuGj5avmLq86QjCRrknC5msjmEOf+eYF+KE3zCtjcl9vVZv+/l2GP4r37/6+aH1V/xCf/s+f/vGPfwlq+seapew1Ve4FNTLZLM5jg2tZDIE8P3SdQePuStrtQw5f2OlxUlnZMuyZDjsSdvuMyaCRs1zqwTWzuqb4GkPcXKwZvK9sEWCuWbZDww0rNQKKrnny9M195eGHDhq2xKueipIPnUTD2obtR/cc/ZnwQ5fpFUyYCkmjGtzpgPqATtITScJa9kXPaq0KO9M63YKTCqvIbakvXrxocLZjDh1c82rj3r23a2pu721+tnlHs5LNqCEruPUjCpB4LdGZ2trm5v374RsUA9e8eFExgcRPB1qk024+AIsAKBdpldagO3BAjxQiRCjh3pqjh7k1ooiIiiJUDuTGo4PBKNNIOUI79ToN1QDKqsd+cE0E7ktr1BoJFDRb1HB21Wg3aw0GndpgENhIaT1CSNM19RJcEfCzptZqCAzBNdFg0jURy/3Vp544W6f0/55S7lIiZd5+mTp+98c/Kgzxj4vXS59+9/e9iKZf1S+4/d83FfgG5dlr/guHwqjz22///R2t/eCPpf4+cf3rGIE8P3StO91kskcdIbiTKxbkeBMePctaavCl07iNPosrktLRFxIFMY/ayQ89RLomCuuaFXevMdesuCHjBhcLgayuWS72mksQTXC2+m2UeZyCbIoiuObBHb+4/jnsNYkKQYgDJyoopNfhCQ+XUA0lFc4vej1oGWl/+FdwzpIbcDPZLZ0UXPOpz66eqduLZtx+tvnZHc8+S23adPsvgs+IRZ6uuUSHmpu37z8KXROx3JGjEgVe9Bs2bAbNVFGYEzScmq5Cq5HnTkiN2MwraLpcRBdVkG7TIJz6dBrMU4+wKxSZT/QXoMjRpNFjSnwH+g3REsQzr6NqgGGQ1EiJR1lKJByCz9NurGjxsybCSqMOUoc3b0ZSo41o7sV/tvxcxDx6HT75mTGRR2bVy/+Boea/QRw3bfq7rA//Y5Gqqv6XSONfxCdb6/9KG/+oKuCaOT/0zX8GvfzLhs2U9PNPdOQP2GYzb9h5tbgI5ObQ8SWWpiJ2u7NNr9Ut9wGT3xj6A1KSdHFHwBpOyV9kfTa+ZkpSyQ881jXzMauAdeaaFTBI3MTSIFB29ppLzTrXVtVv2wKumQ1leQi65paDR3/x5XnkQ5f/xgetLESJyJY8N6xDsDr5IGWph/CnSSvB6wrPWmILVPOiRLrm9Tefgq5ZJ+uaz2Z0zRrZMvBbwX7657Oy5hId2gauuQf2mj9/13BxNwmbeVxTm9aD7UlQGUEkBQGk3Mpge3kFofdUYJgoOAYSKKRKrV6f1mtwlgo6puCZyKSMFRBQwoE4N8gmEUkAVfAzBc0SUQDBxwGTRuPGr6Me0VbcWNEatDhfQ83QQhwGNArX3C1yVH7yzauYQwcSeerkqtdr/vWDf/UT00SpEWRzUWGTSOMfGuSgBDU1NIv+p71L+KEf/vcf/rJxoxjPDRvE+PxricHl3YzAfSOQp2uq9eaw3z5k06q19OBZccHEBP7622B2Bv1JG75+xC0zXDOUwheUCtlscqkkBJhrVtJocVuLigC4puyHXi72mkvIgEvpmkdJ1zwJXZNed+uaIGfgW+BQyC4sP5zFgfTkVkH7A9fEWVrNsiAF19wtebK65l4K5n4bVBPCJnS9qtvEjv6n/7aQ3TK6Juwyl+gQptD373hX6JoqJOPJ45qSDgqkpNWMTnmMWprj1xIvVGvdEjHEwkJsUwm/Rx2CeadhwmbA9DdJo+COWrdBQ4QTc+mKOCpUSj3wyP+dwvS4Xq8zmM0Gc5sBv41qtY5i+9H1oIpKBjOaoBWGCHlcU9E1kQ+9SLpmVf//bkKozE1VeG36O9D8wQ8W0TXriDP+gT4gfltLXPMfS9lrHtj4jEI10e6NdChPoi/rXueDVoNALuYRHi9tvnarr00PrlnwZ90y66WnGax75uJW/8yUDlv4Jupk3yDEPJIE1+Q59GWCWT6HMdcsn7HglqwxAoquefL0R2WSN0j4/9zNz8DZFtM1T+z/BWIe/VSYGApiVAgf7BDBlXRQ80A5CwJvEteEYEeGjsvnmhd3G062t3/+yzef+uzsmbrbIJu39z777I7mZ7cR7/kjpmv31tXJXDNP17y7M2CgsNfcvv/gu7KueZHIZlbX1ILYQcw0d89YwgZkqIM0qdKgrSLMHjqZLSR2yt0i3oxVHCrdGBrswmw4+k1n4vcKPSfOCF2S/iGZCZi1HgRWnweVOp3WtsV9yUiyw+EY9JkGjGY32R3AAxacVSu505s3k9Hr5twc+u5zLT+/jLxBr37wRNF0za1VOXl0kxA2++8OtFkjXIOEjzr45l/AH3/w9yX90A+QWYJSNlCN32W2+J0RKDYCuTn0zSpdk6/dYjKPke3OKq5DX/I0ZtG7kGF9WjHYzOqaTTLXpGNWUTWf8uAQYK754LDnKz9gBMA1ZT/0m0ertzc3124Ca3qghZjZ3YX2LmKvSXPoir0m/ZEPwlUIJ/kGqdOSSEisRR6PXIFJowZ0EzsxtawqPGuJrTxdE75BZxRdE75Bz+6Arrlp0z/+0XAb0Mlz6AqGgjkv2h3omjuOvnud/NCPFOqa1A0Iizb7+HiHWRiZgu2RzVehwSb6KuQOmiLH/DYESEiX+iZfzGoy08HgnvRbpLxD8dTqYIAJKzAdDlzINdUad2jQHuvp6aNIgIi0MgqRVCfBYowQJFVFrUMbcvaaF4lrCnvNoumadOPluGYDTC3BIu++G2sFwN/KBwvfoD9uWkrXPKzesDlLNjdSjaxrLnF38+77RwBz6Jl86Fp3yteecLbhbz36Fq64kOmPWms22Ibs1mmt+Abq5zI5KlnXXDGeZXICc80yGQhuxtojoOia71Sorinbaz4l22suwjVJ4MNMORibyuDOn4ImPxkyi9RA2FzmbwFxTTfZa5KuCXvN27fJD13oms+CJG3aVFdHZGkFuqaw15yCH3qBrgneJ2nVulSHxTIwh9ajC+TQQ/Qxr4BhZmw1ZatMdCWtcYctPa7kKGRISJVwL8AvnUZywyEIbFQm1qRymo1NACPvZlO5dWlDS9jeeipmTXYMBfv8DvyekS4q81hygqfT8+w1d54bgR86dM2XMId+O48k5ujiStdQSV49S+qaNd+BM35Hl6zpFAf9tW5JXfOw+tEs19xM5/1Ztt7M6zuvMgJFQiBf19SCa1pMbbM0v5A/hbDMS5HNigoTESNDdvuERv5zL6trsr3mMlEsu8OYa5bdkHCD1gqBMtU1C+edZaPHRXVNzKGTHzqRsMV0TcxDQR8wj4yOjt4IteTKqM022tLVpFOpVsQ1Lyp+6IW6pmyvSdyHxLYCXVPYay602RTbzUe374C9ZuzKQl0T8Y7IAXzOPBB2jmiJDWOyH6RPNDRHNoUZKoI8EwOFEArLU/gGuVuGYpOxmS78OGEGHXwadpmYAQfXlCSRQJnc07UGp88zUmCvqXJL6Vlzl6XnVNThCTn9k62WeBtMOKnQxDuq1yBXHmIeZew1dwtds/2T918tpq6ZRzaF+esPtgpM8xc4REyi/7umZqscj/NPpCrn56jM+aEjR2WWam6cBdX8wbfZ7bX6hvF11g0COd8gzKakumPgmvgrF456q0EAETrxF/IocU0xuYGZhVx8TRJLRVlNzXzOA0OAueYDg54v/KARKFddM3/eWZ5WX9Rek+bQzweW1jU3i9nn+KDD4eh2dBSUQV+HB3xqRVxzt5t8g6BrCj/0Bfaasii3uK55d3fIDx32mjSHvkDXpNkzKBrac1qdwQBbTeHUAwcd8M68QnIsBFuyxSS6CS4J2pwyuU6d6rOExiB5CmcotQ52lzhE5UZNKBo4mpttM4GhsCHfIQofSIaRAXvPZNDTNutOTE4GnKM60n7pZw7XoNhHsPTM0zUvZuw1X3riGhTelWqYix1PbD27v0548twdYBO8s5bUzD/8b/2/iTz+4B+NdYi1ms818+JrHt6dJZsbxKT8LOuaD/qR8/BeP8c1Ma0w0k32mhsRn3Z1XFMyazerNbaE3UpcU3zHlTn0UMZeE0Y0XCoKAeaaFTVc3NhiIlDxuuYT97TXBF3Spw3dVqtlKBJBrrhsQQ64GX8y5MYUNSwdl4Xo7t07d4uYR8+9+QHiay6w1ySaRKVQ11TsNReRaWGveVTxQxdT6AW+QWmduy1l0Axr3G0GsipFG3VuTYG9ZhocUhSZbbrdoJ7uCW+051Srfwq6KHyJ3OY2uPio3E1mCQGUdEQ+oYamDTZ7zOIp9A2CF5BuxBeAnmkzSCnr5KmAaVSndreZDQYtoihJaa0bQCL2faGuefnn8A0qlh+6YJoy29xUUyecfiBeLiwgow1COv7uO2Ka32ECHWVRXfP5tw4feXS3MrYbBDP9diPrmsu62fmgVSCQ54eunzNC1wybyZp6NfE1N29GNHi91n0DXHNKsdcUuiZiubMf+irGpjxOYa5ZHuPArXgACCi65snTe8rLDz037yyvYbmYH3pW1yTRbhF7TfLHllIRl9/i9SaTHbmXdyhi6ZsZMIB7kTK4nCLsNeVY7pQ3CPaaWT/0Z4UeJy8Wtde8uzvkh77n9JeLxNfUSdq20ZDngs2sawuF4244l2tgvmVwS+68YjAjjib1GT9lUD0kCXNsRp89EDvV4/KAGKqkVMiDWXjJ0BX22HRIX4L5dPInUrtHg60zngKCjeRC6rStI9oTi4yYjR7/ZI/fGTK2TDlDI22SeWL6hhn6KGbq83TN3edGZD902GsWVdcEcyRxU3YNEqtZrVMGGAfIiiao5r/7a4T0ebeu+fLbv7qpOwxdU5DN2T+RFvqDP+c8hZYz4nwMI7ASBGCvqfgGwQ+9zRebcRqGxbTESiqRj6WpDXjnGW4krJYJBKagcpe9JvatvGY+4wEiwFzzAYLPl36wCGR1zXLKG5ShlzTzrEygr9IPHVRzs2T0Wh0e4+joyIhxxCgXvHcNuiJTBiE7LO+JjVDu8hy6rGvW7YWiRnmDZD90YkhUCnXNPHtNeRo92x3ZXvM5yht0EYppXswjkEFnx0ww6phqcdhdQ1MGClOkdhttoRsFpaVJSsNGVeaalDfI4Im4IonJUzGTWaPXjZgi9kDA1zLtDdg7jG5EO9JC/MTknnsk2JrwIPVIrlA6SmnaMj4ZTdpGPIn2nqi3y+OwBgLeaY15wOq3eOAQD0Ka1TU3ZPzQS2KvWVMjR476s0C0cEHEs+bvNMEOp/L/VRIWbfrfb//9p33PbtsmjhX2mr99+92bbx1Wq2b/+J2sgGLa/U+5HvMaI1B0BHJz6Gr9mPtCn8VpxvwC/YW34gKqScbk2gV+6Jl86MIghuNrrhjWB30Cc80HPQJ8/QeGQNZe82Z56pq1DUQ3a6uxrK/ftn2b2K6qaqityeUNOn98ST90aJZqqclrvTCCOD9jVDRjs+J9GCk5vHG3iES5PPQL/NApvuYydM0Gan71oWPb8S6Icy06UF1d29DZQLqmEl+zIG/QgQO6tunuIVerPelI+P3eGwa4+ajVbQMdCctM3ivhGKA47Sika2o0at1o0mo3dfdMtnaP6CFyDnTYY62WwY6E3+owQvbUQNsEHCqDLThuccLznEROVIB9COCpM4RdPZPt1mRyJhoLRpzmuMPV2hqZUhsHY31+pxmHFthrZmIevVpse03i6zVy2qC/7xVK5l26ppyhCfmCbmfCb5Jq+dcTiHMql231B6FrPv/WkcNqMRcvmOmf/8K2msu70/mopRGA9TJ9mKZ0WgtnRHJcE5HYzT6aQx9bwQMm/6KwnNHAkU8zijl0xDyir2pO12R7zXyoKmmduWYljRa3tagIgGvKeYPKUtesru7srEbic9AzLPdt2b4dJK32EGgmZk6VHJXXPw8s6YcOqECRDF6ryUiMKh85vcHpT07ByrFgb/4RC9dhrpnJG1Tohy7iay6uazY0gmRW73rrDr0TTyaWWV9d1XmmE37o+05/uVh8TfXG1ITJ3hpzBS1JhzMFgohY7SM+V09hCTrMMEclK050AjlGDAN2vzfkaT3V6g2R8WZTPBI91W63DDkGPSLxj1ukqNQ2Tfj77CaDwUCh2oX7D2rQGtp845On+qLRWOukKxk3jJlNuGCyRR/y9ozbB9xgpZqcvaasa14ugb0mEctNmwSbXMRak1DuF9Prgj7KWdEhLwuuuSNP1+z9gnTNI+pn/k8cKC/+8Ce21lx4V/P2yhAgcxP6vrkpLsMCxTLPXlM9TH7oYTN9N5f9hMlriTgLwSRaZHtNqoXyBkUtefaatDPvFF4tfwSYa5b/GHELS4RAmeua1cQtwTSrGxoaOk8c3Hdo+y6IgrWHjlVndU3kDZJzVOJpvODZT5hluObCCSe1wWlfIdfEJLqb7DVFfM06zKF/r71mTe2WamiwDVs6zzY2VNfLXJN6VNvQgByV0DXv9kNH/CG1rik0NN4Ts1ywjTTpxoTDeVs8aYWLE/6LhcVqSYbNwtlcK1FsI736RkfA4px29E22em9oJEkrpZyWUz3RpGfUZkRiddDS0Ylw2DNg6oi2urwDHs+0ZwoKCVJgUgolXZd3crLVPpTwI2pSIm6QDKa+nj5Tk3nQPxmLdEEThW/RAntN1+Wv36f4msW216z5q3BCFznPC0VNKJ5yTM1/icBHP/grkU+8vgOZ/P8yc+j5fujqjX/69ttv//1nYa6JWfdZZpslepKsk2qR3pWeM4hvoSdnu4Je58XXVKtS8EMPtw2vkhBCyKRnV5ZrFuiaHF+zAPYK2mCuWUGDxU0tLgLgmnLeoHLKh56x0sT0M+mANOnc2dl5cB/I5qXt2LW3+k51TtckrklzTHg034NriiPysNObnXaaQ1/wc5F3xMJVMYcu50MnXbMREcy/x16zqmbXsXq0HDz5o8aG+npwTGKZNLFeXSvH17w19C7sNfPzoSM8kXZszpgE5Ut2DauG4WyOKKEad2rAFA7jn1jg3ekJYnKqWQAAIABJREFUuWGlSUGftYhIlDb4/FG7r8My3tMz40SKoLTOYIucmoyZUnpyHIKPgs6ZBEW1WPytk+NBywxKcspMiigc3fWzIKaTUUc47EV0TX/Y6Db7WlsDAynbUOyUq9uocZOKk7XX3LmbYh65SqBrgjlu7Sfq+Ie/KxPihW+3har5j023hfT5h/+lTzfdJm5aaK8pdM3DavXGjc8gJ/rGjbPyxPsfeR594X3N2ytBAMm5EJCMvjL4tyDoUG4OHd+3+9M16XlGXJPm0DN+6MgbxPaaKxmr8juWuWb5jQm3aI0QUHTNk6dv7tu+rXkvclQqSpGsF639Emws6z8juGZjZ+2h6trGxs4t24+eOHOisaa6em/jtYZ8XZPyodMf/vfgmik6Ih9T0jVXwTUz+dCv1uXnQ39W4CQv8v3Qaw4dO3HmTGf1rmPHjtU3Nuw6hAKuDP6MiJBKPnTyDbpY4BukM+u0bY72yWh4ZE6HtORw+6GM7pIb895U8O42uOcMFAWJuCY8xNN6Q5eltTUWjPa1Tk66uqUxhGxPjSRP9QQHDGSTiQlwjSHpau05NTnZc+rxSbydmmx1ddvUkFE1yEQpdbtOtdonzFJXsqcn1jFlCHW0xixxW9jf2uMPp2CbRjGPgOCGDRs2ormZfOgvIB/6bbn/CyXIlW4DP/pX0yBEyH/cpnypC19yIPdv99Ztuv1v8EtipDiFMP9ux6K6Jpq7AYGONmzc+H/f0Qnf5t8EvM4IrBABPGXSBjxv9DB/xmx6wdk5rgl7TaFrwl4TpeCg5W2Ip5Wsa7If+vIgq4SjmGtWwihxG0uCQFbXLEt7TVI0wTV3YSq9s+HQru31+xoa9tbW1kAazOmaIm/QqnTN5Ap1zZ2KH/qry7TXBFE6dLDz0pbaE73HdlVv2VKN/uyCEQA6UyvH17ze99VdfugwMEV4Iwd0TV8LKCZsMtNwFDCPhn0+3wX8zxRnCLmAyJZTi0jr2tFuuyuBmE6JYGtPtAOT4lrJMJWYRACkJjfUT8z5qSQP3IvgXWRv7ekLYiWR6Iib1XAYwiy8xuCNnopGbHPPjDpiPfBTn3NaYLcZ8iARUeuMDZHgyTY0q2uW0g9dzoT+7SainXcX4qF/vE376/5F3FHIn6RZ/ivLNfPzBqmzUY42bBSmm9+V5GvEla4XBDCHjq8WTJ3xvUP0hoJu59trjqUGi2GvSbomYh6Jv6Sz8TUV36CFZkEFbeGNckSAuWY5jgq3aU0QKG97zYaGXVuIa27BNHTtrl3bt5BDekNnbdWuqqqMb9CXIm/Q9+maxoUPZuiaK/UNyuRDvy7nQ9/7/X7oyHFTWw1J89oZOAgdO0bT59XwbKLeIL7mDpEP/VeGRy8W6JrI7eM2pMQcetxNCc2RJVKtMobhlG7321FogdWIyUzxjiiJJRIMDVitkXhqxDgwhCiZyTGEcteZL9h7eqImW0pKw5cBKSsNxlCXbSTuc40HHbbREWPLiFtD9pr47ZSMiHgU7B6Rhke7oz2TFudsd3Ay4JvoDvRM9nlTBpo1BNfEPZmna5K95m9eh71mUXVNQSH/fXsTyObdr78Tv/yH+Kim9n9o4w//WyUypP9jR8Y3KN9eMxvLHQ3fKPTS/1uT7xVf5CFFIG2Q6M8uHQW3xVx6QS/z4msW1V6T9FPIo7n4mpIIHiG0z4IG8EaZI8Bcs8wHiJtXOgTANWU/9LK012w4uGs72WvWdm6prt+168S1awerd+0F2dwFFpL1Q6d86N+vay6Yy1LDXnOluubuxfOhL+mHTo2s3XLsEObMD1U3nOhsaOxsJM+gfHvNn99tr+lWaUcc1iiS+IRHRhBsCPPfak2Lz9oe68uVWLvF10TJ3il5kAqyZjThNM9J0qgDc+EJKKMaQyjhivWM++IhVEJphtRjSCVkkMw2f6vfNOem2PCScPlRg4VO+3se95uMuo22jtbJnsiU1OHqsZt8iWhPj8s7ZaOYRyp9VtfcufPixRbEcv95seNrbqr6FxHIf20iqnlXqdokXIL+TpYeNVV1DTLZ/Cvt/G7H9+ia4JrCZPMvpfsycc0PPwIqNwUOw0S6TqeBBXNBh3Nz6MW017TAXlNccqG9Ju0suD5vlDsCzDXLfYS4fSVDQNE1T57+qBzjazZ07po/CNtGvEMb3HPizB7oguQv1FifZ69J+dDvpWuaEfMotVAEWKW95uL50GVdT8hwBfnQa8gTCPP+W+rBMRvxBlNNchWqPSTsNXsVP/QCe00V1MdQGE48cM3xmjw2EjVVKm1qGhPg9BILCrXpmDaQJyzRTZ3ZZGlPjkrDY7NGU/BUq2VkZNQ2MGjx21tbh7pNE0aNCgmS0kiarpmTDEZ/q9X5zDBCjVLadfxqarRS1yCyW1oGjCnbBWtPq2vQ1hSJ9vgdXosLIZASvqkmOLovyBtEvkGKH3oRdU1hhQmqebekiT2bqgTXbJDDatZslZXNH3wHrvktuGZ+fM2fyfE183TNzRtkrsme6CV7mqyDitVaDb5JOuSPhGnLAq6X45rFtNekOXTxeMvpmiJjGO1cB4A/VF1krvlQDSd3ZiUIgGvKfug3j1Zvb26Gb9AictJd+lIJd+Qcg8hnm3TNelhr7jt24oknfth459ghCle5qfFq4/J1Ta0SX7PwybwqXTM/HzpiuX+/HzqoZeOZMwfv9F691lkLB6Fju2qFtFldDXvNHUo+9CPCER2+0htAgw6oDNPejog/Eg629vmHHAMUGhNhMHXuVArZybMlNYqE6aB/FHlFZb5hcUW7EdpdYx6Ztve0Wqemw91D1hmvI9rjsnpNNgRuT2ulpja9ftacGvW3Wjw4i1RRFK3ZrRubioxP9gzZRicG7bHJqHdqZBQO7S44rVtbJ2P+yEATZtER8wiT6GIOPWOvWeR86DVyYM3/qZOZ5t23WZ3gmsL5XNyom/4Fmknluz07mjNz6AX2mrtz1HKj4LE8h76S5wMfuwAByomgc7cZ8LcXlYJPF7HXvPuggjOW3BBV48ud74e+ML7mQrOgJSvjD8oFAeaa5TIS3I41R0DRNd8pU12zAVxzGwK6N+x67/iTH3/w3rFjtWfIfvNgLm/Q9eXaaxb+MKzSXpP80K//RuRDX058zYbGLbuONl5776kvn3z9TOOeLSCbmEinaXTkDTqKfOgxMYeeb6+pm/LGXNbu6ZAl1uOKeIw6aI9pfXpsTJLmZmfxD//xoglwjQYu6FqdZPZE2lujQx6zPm3zWWOTk+0Jq9/lT4QnnAgJb3fEzdBgMNOO8EZQMg0p0jVnsUmx3cmLKG0e8AZ6Hp+MInyn3e+3OOIps3morydm7R70gnpafCM0+V4QX3MnYh5dvvzJN8XNG/Qn4o1/7qzJ5ANaqG7W/JUO+BYT6EQ1SekUWiVMOJ/dsaP5e3TNzcJeE07pXBiB1SKggtWJZsTnCyMVFxIpFFRTwviaxFmzuqbiG0T7Cq7PG+WOAHPNch8hbl/JEChvXbO29tCWzi1bGhtrq19+8uvzV359+uq1M40N23etxl6zGLqmW55D/+Czq2eIan5vfM0GSLHbG65dffry59ePv/7iWfijw7Ee0d07D4r4mnIs94L4mtJ0JBoc6jK0dVtcFkeLDr5BUCURtki/gRJSZop+wxg+QERpLNqcQ8GA3Yvsy2PgmoFo1G+xB8FXjQZbhz045ElpMe0n6zAqzbCUssNDFrtANXUUBB66aNhrd0WjQavdahnqCNvc7rlZ+LX7I/GQye6yOkJmCXGW0jldEymURHzNT4pqr1krVMs/dkLPFFzyLl2zqqaBImn+oZ8+IQF+U42IxQnX9L8vYq+pc/9Jvzvz1dmwUaSr/DNTzQwi/L4KBGCvqUrHZ+zW7oHRJrfIV5mtJTeHnrXXJD64KkJIZy3QNRfaa7KumUW+UlaYa1bKSHE7i45AeeuatdWHahu3bDnTWFv74vXLk+OXv37yDeFbA655SPEN+vI88qFvuJe9Js2hpxYaN63SXtOJvEHPwQ99efnQ4Ya+69jBhoaz1yd7xgM/evWzq7vghd4J64DGzqXyoavMNud0i3t2biQ+HR81z5Efehour8qMN/12HVBvPoA3WFpSOCMIlE02W9dEKKWD80+bLRQP4d+Uc6LFMDtrnDJNSQjSCf0T3qzkZaR2j84EIxNjtE2JJ2F1pjWYW8RJXSOjIdtoSto5PKwZmfBMjbgl85QnlJKazGN61YL4miPkGwRds3h5gwQZ/GMniZoymbxL1qypEfPg3/29ig7B/38Q96Tyh3/sg3OQOC/rh6799gff/SkbvF3OjP5/2e2if5e4wnWAAL5E6fS0f7ynz58cMKsKepzjmsW01xTxNfP80D1dnDeoAPYK2mCuWUGDxU0tLgIl1TXBqfILJQcnTQ9O2bXVCFq0aKmuQkZKpD8XC8qw00DBz/fWfXb91n+cmhwPfPL+U794b0/vwd4tly71ntjT+zPMoYfhGwQd4F6x3BfmQ1ePtYX9SPsNO0bMIoOxIYQl3Eo1smc3SJgGkoVYZPFG9bvdj7XfOn/9TTGHXleHkEbPNsNOcP826kr/t0iH+KdvBRmSV/urDu2a39LZe+bqlVOnJntunf/km8d+8dGJg1uqq7fsv7TrzsGXfn/rq7jhyO5HER1d2GvCGFKtcTdRmPZhyWA2uNEeCsVO7kF3sWXsla3GxubcsxImuRHTfWx2VoKDOVTIJrN7VrV71mA0iwrUKhI2yXH2nNljmkjRNv2AUYhOvXYWweFpVn6W3NNnh7F/p2Q2m+fGhmcNTW7NRmQeArz5uuZFqcUC36BvXkUs94baTYuO5Qp3dgre+D//yi9/b2jY1tx5sBkJPg821G+rutQvDvrDv/7SX/X3v/77O8Ez5eUf/9qfuauq6w9+8btfPS9yBX3357/83+zG//uTnEX9z8Oz0Ic1FEqKxpuKXpitZoeZVxiBeyKAYLYT1tbHJ1vbrR3hLrMGjw76buJbpg1Zg5YufE/wrVKlBtstpiZy7FuNron7cvNmGLyMDvmtExr5Ps3G10wpMY/EQfdsK39YXggw1yyv8eDWrCECiq558vSeEvihiwxA5OwjHH6qO880kLVlY+cuhVAKVrlwkU9Qahtrqw5RQseGxs+evvUfKMh188nb7/7s+Zu9l+7cuXnzww9/+9z5wCryoavTKZM/GYLjjRY5GnVk9qjDVLVOAnuDDePmNGJSYn++boEfkEekd4hrvv3Ui8gbhNw1tQiT2bxj3w7RB0EyBffJLP516ND8lvpLJ26evjKJtp+a7At+9fa7n350sH7+2PydY3f2ENeckh599BFwzEzB4JOPkHDCkVeWdztkjs3Ug3e5lrtPp0Q6C0vuNOUTSreDw8R+ZRe5BmXja/6XjfzQv3nh9SeuNd7etnAUV7MtbDEz2Cnv/z56cMvBj8DP93x05sT+2tqt83cd9Yd/HMpAf+gQ3T3z89X1J754+1c3Z4X5Z36Nf35mGCaqOgPcoWi8QQkg12LIFwSvWQgObzMCCgLwpTNo49a+x1Fg0OyYThkwb0A+eph6CFn9lhARQ9xVTb6YxdR2TjxNVo6e+BsQFtXwDbIT18zTNQdY11w5nmVyBnPNMhkIbsbaI5DVNUuRNyhDMwXVhAP2mYZqBMtsbKzGTPKSRZkGFW+gmVU1dVA1G4WuSXwN2qZr5puXPv1wz80PT3zYe/O3X56n+Jr0Jz49n+9CEKIdxTwy0tM670M1+QZ5b5iha2pI14QqQQqfTocFzS4jqgnqS+fbY+ESj0hkr3n9zVc/ewL50Ov27m1oONh48OC+ZjS0UwR7zCc2P/if2s7+zvr5S3u+uDJ5SjBlJOz56nev//Cjzt7+3vljl16BveZLH6YfWcA189pZXqtZP3TKh278eUDOh372zF4kc7rfUt15F4sEmP86uqX3xEc/fOKNN55478RBZCptqP3fPxaA/K/+27dv/+U7sU/E3azburW+t590Te0z/yo49Af/Hp7VqmBnYGyxjejSKp0EugmrVxi9pssLaG5NuSIAOxSddiDY+vipx0+d6ukhbXPUoNVKkhYPEJvFb71B0xB6/diII2oJmzFdsiC50PI6pobojmeSxkZ5g3SCaurZXnN52JXxUcw1y3hwuGmlRSBrr3mzFLpmjn8gqHn9vkaEL6redQKO5Ltynyxcy+eaNYdgmAmqWVOX0TWJbWIy+srvHjv96Z4Pez+8Gf89zaGTmTw94fPppAwcgk/K9po4Ig9Klc4cDnrjBnqi0ww1TZ7DeBEJG6FQ4NdBRbHPicDmCj7XG6Brfv7Lt4/DN6iOlE1Ez0TZIfqgeETnsZs/dXae6aw/Nr/nZ+Cagmz+x6nxW59f+d1TT1zr770z/yG4JnJUvpVW51TFuxXHXAse9FqBrnmuZShAc+gvvXi28XYRuGZtreLmkwcg/Mu33znxww/e/uVXX11/+6VPrzXiZtjb8A95PhwH/vHff79dVwOyee1f2PpDM908dVvr6jt7v3j73Zu6A8P/p0yz06f//r+Ns7M6yRYe7PB6u+NtgmtSPiS9ilJbc2EEloEAItVqPMEeME3QzccRi9ba4WyBAYsGCbyga1pvjNEDRZ8edbRbwoZhigCR/xRZ5ndYjccPrHu0XTN2C7imKFk/9Iy9JvYuszo+rDwQYK5ZHuPArXgACIBrynmDSq1rVm9HvB84xlw6Vt+JgOwLGWZuO59rIqFjNRjdsV2b6sQc+uOgmrI+GPjkd7+9c2fPzedfEVxTqJb34poLdU2dORUORuJCEKX5LwkB8+DRjQR0KplkpiF0Fj7J1Zq33jKEb936HDaKLwquCXtNmkPfj7nd2tpNYDwoNZhYR9lbc/v23oaa6q3zmC7f89srMtOktpPR6ZUXXt5zbP7SR4/9vv33N+68Jakqg2tuztc1lTl02GueeRYGuEUoyBUkg7dl+xZRLl3acWf7dgSMCt4ah2/VVy+drcINUbu19nbjX/7x7bff/uXvtTWbEBEWcub+bc//49u/1tLNs3Xr1vn6/v/v7Vduao8cgB3Aa38hO9q//B8MYmfNOm0KEUR7QBG8E1rKak3Wdeo0c02ZzvByOQgMT/hJ10ShxeS4xWcza/UayR23B603cEPhz1XSNWegayIqWcHsyDKf8XRbIgWmdGPGPjOl6JocX3OZ4JXvYcw1y3dsuGUlRqDUuqZiqwkmUt/bixzmjfXI2EiO2EuWfK5J2RyhaiLEkcw1FaoJs82evsDX37zz/y7d+S245k/cNIN+T11zYT50lc7gQSBJkyfsdHo8HmfYFPaERbmRwjz6ZrWG5tQLwIfOcMTw0xjsNf8G3yCSNQXX3Hf0qOCatXA6v6tUz9c3XLp04refCK4JqiyTzcvnf/S713/W/+Hrv+/7ZMJwpCJ1TakL9prwQ3/9F2SveVfP72cHXKe2o8B/6tL+PZ/+5pNb45MoPZevHD9bX0W0FtYLdbsEuVfulr3NR5v3NT+LESFdc+uWg/2w13xee+AArE43bnyGykaszerME5FAaw9U5p4+i8lIf1/AdSMNG05K9cmFEfheBCBaaqbtrcQ0UaBuTk62RpEvAbbfmi4L7DXx2IChZXqkO2oxpebIkjPf6rvgkbL0BlFeCO7uGwm7yFGZb6+JgBPCna1wpmbpuviTskGAuWbZDAU3ZK0RANeU8waVIh+6bKcJbkArDdfOVFVVH6TYkhTMfFmF/NBxNqhmI/mhY/48pw+SPPj26ZZXZHtNssa8t66Jh3ceuOph3ZTVOhPxeiPeZEfSG8GbFyUy0z0F11IKcF54AqLdwRf8DnTN89d/Da6JOXTwmtrm+n07FK65WI8OzR9s7L904mX4oYNlZmRZeDj1nb/y9iufvvP78ZmXYDNaIXPoBbom/NAxh/7+q68/cbahKFPoOfy2Udmy5eilo0d733vsR5cx7IAPthNffnYNYQlq9zZ07j10bBMFOKUxoLLv6L59SHtF23Vb57deInvNm7ojiA+lHz4Aurlx4wGwCPVYFzIpySzh8XGrx6DWuaFsIsa98BIiTyF+MQL3RICcySZkrkmq5qlJWvRErR2elHnK4p/pwnNDJWnHUoPgmkZhk7MKrolHFbimRgoNwV4TzyOUnL0mx3LPe5JX1CpzzYoaLm5sMRFQdM2Tp2/u276teS9yVMpxtBdGNlzVNjiAomvirfPstV2YRkdKcPgH3cNeU1CH7IJm0auqGs6coTl0ohyPE2GTS0/P5c+/efurz4Pv3Dsf+mLxNfVaKZREVvEEJRhPDCVmZmbEf6vL4jNKyNNDfuj55FRwzQO6AeGHDnvNfgibm2gOPatrZtucv7IVpoO9e372VY/gmnLjSdvETHrwyt/ehB/6wIc67ZHKmENfYK8p+wZB19xbHHvNLG7bttBry1GQzd7T37RPIl6UPOLnn3yxEfGyqmv2IgZSQ4Zn4rzmffv37c9yzUP19b0/wxy67kj6EfUBpejxrnGbrKhqkkgCCH/HKBw99CotWelyYQSWgwDlhNV6MIcuT6DjTZRJsM3usM8ftNgwZ4459DTFPAobdRsW/Qt4OY9w/L0rSS0Ru38AXDNP10R8TSXmUYEF+nKq5GMeMALMNR/wAPDlHxwCWV2zVPaaRDfpX23DiTPXrr78ixdffALlxeUW+eA3Pnvx1Su38FAH1ySmhv+CcMKt+/NAgPzQ76FrKn7ohTNOyNfYNuU0mcLOCxfCYROKWJg6MLGOqVVY8MFBCL89eSODiIwHdC+13wpeefrJ4x9QB+TGPfHFvTrzxMtPfPH6C1+THzqaTq2nQtRp/PL5/w6OJ16pHN+gAl3z4vM/d936/Pff/BpYrGBA74VV5jMB6BdUTp9+++vxU/+BSW8x6rd+9OobvxAX+8WLb2SOlt+/eJHOekJ+PfHFF+/88m+//X+jLaOjI3lltCsSnSQPYrqVTk1aLthGccD/a8FhxpER/scIfC8CI7hhWnyBzBy6zDRxP53qGXdZLO0uS0glXMg1xm5k52rT4KlR8BTJe6Dca1WYEWsk7QhxTa14FOkXxtckh8h71cGflR0CzDXLbki4QWuFwBrZa5K8eWzPG8fffPPNXx8//uqbv37z1WW+3nzzbZzz6zc//npcea6DpmX5Gp7wrePnf/r9uibsNQse+SJ0ptY9N6aXpHM6SdLNaed0czr3VCTRYUSkIxWCbZKLet44kK0+uOZ44L+vfPn0k+jJq69iQWXpvuCz48ff/vE355VGP66wzVOTYE/QNsd7PrnhxkxvJeqayBs0HvhaYAEglsZg5Z/IqGL59pu/+X2gB0DJIaP+oyfwNC5E++kWyrumcoa4FC3e/NvHn3T85qc/+YlJNsJVliZT1tAON9Oka+hC2ImPnPRHBxdGYJkImJKuAq4Jo00q/xFztcasIZFgQa8VXNO8EX/U5j9E8p4n91xVIz68Gg+hkSG/fVorC64ZP/RsfM3CR9o96+MPywIB5pplMQzciAeBALim7IdeYntNCJu7nnjyyytPP/30j5/8+OnrH39v+UYc8cuPn376lx9//PSPr2SkBEUWhLgJ/tZzOXD58vl765oi5hHyBhWIACJ6N8IvI1IJprzSadUYWeqNnbsxlOhowo+DHjGQsDf/ZwKP/wPud/pab53/7x/96PrTTys9+KXc0MX78/TTT37846evfxlAY6Fqil8kQZSxPTl+6/zl8Z+/gjl0fWVwzUJds+Xn7eOXP//6R1dyWCwOwmr3fvPLj7/55Y8CCIOPkcbE93/8B9yDAOcvn/4lbgkUIJ/59w2t5ZcvP7/SMdiN4qBFpjgCrWRfpzgRRy0d3TjG5xt0ODJH8Dsj8D0IOBxDrlYhjdOdJPNMrE22Bu0xl6ULc+iImDbW5ItafWZQTaiSKy8wDteT1bjN6k/EFV2T42uuHMcyO4O5ZpkNCDdn7RBQdM2Tpz8qTXzNnL1mbfUbH1+5TmoUdE0slyj44Df0D+LUC0K4okNx/Mefj8tcjWweiXxA7eq5FfjRla8Dy9E1U4VUk/yIECiP4moijjse6vAbEYtQZMjRhtyUFPmIkhjmjQRJDe6f9iEp+4+Erik6QOIaNXOJInf0zfc/FwSTWI5oPrbAND9H48evTHyoe6tCYh4V2Gv+Vwt0zfNfX7n+8ZNLj+YSsCxnN6H6mzd/c/08DCxpxCnz0vj5j+lmeBW65gtYueuVrZd0zecu/BSKJQq0y8zLZI0JkiAYwmTQi+gDIg4BaZv8jxFYBgKwuAknEctdLhmqeaqnNWpJJl0BzKHj0aLV6A1hlz2ZQkJL1WqCuSuPJGnC7++wYYolz15zgP3Q857KlbXKXLOyxotbW0QEwDVlP/SbR6u3w7kC0QrJl7c4hYhm1l6zquqzH3/86gm4oTc2NNR1wht90XLw4Anl3wms9R48uOfg0UsHPzr7+tNkr0lF0DaSNeGI/uoXr38p8qHfw14zo2sWzKFTuhgKqqgxaChssobUTSzUXZGEow1Z6NJiZ8EpyDZ32P0O4muKfOj9FMy9rqGx8cS+PQeX7E1dXX9/f31/zg8djRc9IC/6N1/+4MtbMy8ZjhyokDn0nK654eJuqUXkqESsUcRyb1hqOBcd4+/Z2YgQ+Z0N+w6iHN3zwfVbk7KBLqC7/PSLZz860Xvn4In9+4/SbZK5V2jlYGNDI40JCkD/4sIrN90IPaNXDWcL8sZ3+4WuKZTNnqGpubG5sVnt2PAYRG0ujMD3IzCm04y5B+xC15SfR2I5iXSVttSENWiNU8JK/AU7PG33J0a0bg1mwlfxwAbZxN+2hnDUfyElT6GTvSaUeBNyVHI+9FUgWg6nMNcsh1HgNjwQBBRd85010DWrXnzyyeONW5H4pQ4MFNEp8VqwRIzK+qNHj8K1WykHL13at+XYsaMfnUDMI/FQlw0eRfKgHz35wcs3vwDXXJ695oI5dJJb1ZNSAAAgAElEQVQuaa4cgqYQEUSWSlWXd8jRNIZ8c5jCorSVYioLKiglnlOpHnFT3qCnlfiaIDV79zbv27FjHxz4a9Ct3P8arNfg887+/rr6+f6XZT90ue3gmpT56M0PXu5//ctbiVfcRw7cd45KZNoEOaZpN0puB85MOm0BU8bdJXbiFwxrOLhAshVHEw4a+qXER5B26dcO6TrzbssCXXOuxYJ86O+/+sEvziCEfUHv85FYzTr+0sEdsmU/Qh4d/eEL58eFXxBJm18fv9pIew+eQLj3zD1C7zswCDv27SWeSWVrZ//LyIeuO3Lk8IH8Dowh+EAfOQfRv56gLzWMccWEZ4GtRF6HeZURWICAOj2mdjvzzX5p9txlcXhsiOWOvEEh+jOVvomj3fbAoE2r08EpfcVFpdZIGl1bOBJMTJvxXaVvc8Zek3XNBWNSOZvMNStnrLilRUZgDXRNWdoEu3zxx08eP4OtzA55dcGyXk4ZIy8PHryz/+BR4prNpxWuKc+n9mAm++PXr1368NLPvvx8eX7opHzeqxDFUqdD3ogjRZGShbmU+Img/cg/R3QM9prgmkLXFLJm3V7EPNq3b/9Socy3IgX8VnDNL6700BQwaZpkZNoamBl8pb9/vh85Kq9MuR+573zoiPsMCQ+NTKcp2SaCQFN4cnSDaGO2gCyjX5jeQ5Y9dC+7n8I5gWFSSWslDVmvUj548G3MAOYfVqBrniNdE7HcoWvuvb1YHPsFA7uCTVLVq2rrtyC+5p09X1wPUMQjMM3Wyx8/ce3gse1HT5zYh4hIeXcK+OfRHUchyoP0gmkibxBiHiFHJVHN/A7oZ81Oex8iuSMCd4/LG5LA0YEIVKg8MHiVEVgaATWkcskpYh7R376wI57sidkRXFMa3jgG60pLl/hDDt9Ic1ciahkMhWzGUcRDWOGrZcTWZbsRTvgtgyNueh7hu5y111Tia+KPZ75vlx6pcvyEuWY5jgq3aU0QWENdsxa65quNYlo9E3dTtuYsWOYxiC1b9u3bsv/MwaP7T5w5+qLgmmRsBxeRW5evvPn6y/2XLu35ELrm8uw1v+/BnMc1tTDlhDixGVb+4ikvdE2xKmV1TYqvebumDlxTxHIv6AP6KL9qkaJy/kTnR1/8SKaaxJkm+/xe05Txvf7+Sx++8mVs6BX34fvWNQVRRAocjdsgfphAn3QGt5ZyL+bdRegLCLdeo3NL1JnCT2jKDlwVFqwavQ4Tf6CdlCK+4LACXRNc8/LlT5AP/YkzCK+Z6XFR3mHHAeOLeiiXiE36/OmPz49PIlPUrfO/e/e9ffvBNQ/u27atfl/+nbKfCtgsDECqkKNyK8wWoGtqDx84nN9N9N7cZbJEWxGxs9WfnDCPgaODYBcS7zxceJURWICAyoCv1UAuvuYpzGt3T6TMBrNbrUI+dOEbRH+dtjVJJkvA5bdEkpFVlKFIZMjqcvkd8Tn6uuLWzeiaufiahV/iBQ3lzTJEgLlmGQ4KN2ltEFgDXRO0gcw2a2toDj1P11ycltSKpDHKon5Ldf2JffXNJ07sP329XZg6kkfQ+R99/MHVa3t6L334Ebjm9+mair0mntb3hDTLNbtTImEhHuRqkK005czOlANuT76uKecNohyVi/eFtDlkQ++/9vIVOWgPNM1YMDI40HXT/WH/JeiaX94a+lURdE3QJUiRkOh0Okpfp9e6tRodedIvMBUjfRY7DW70qxANKJt6JGwEuU6n1RqdoJognAucaIlswmV+407Yawpd8xPMoUPXFJrlUhisfD/pmrXV9fUI5d67Y8977/4aQQhunf/54G/fa9yyfRf9BbK9up4IZ7YoXJNIKuVD33oJuuavbr515DBGLm/U1WOS2ehMWlx9CNkfN8+BdyMhKewNClTevBN4lREoREAPFXyOYrmTIQb+ZIli9nzUPHtuFgkBhrtyuuZwW9vwSHjI7rfTv5UXP53ln3HEzTRNQQ8gjq9ZOBKVuMVcsxJHjdtcFAQUXfPk6T0l90OvxRz6q42kWKEQAVmsgJ7llWrkMtpXX71v38HtX3x5S54+R0zHJ1/p7QfR3HNiz81+mkNfhb3m3eBluKZ3sA12nMRR6AGfBnvTkoWjXMQc+i8z9pq3q2oob1AzKWqLlqqGzvn5jz7q//S6SHyD6bZbM79pudn2fNMdTP+Trtn3yVQRdE3omBqlhXqyDpPMciYcWF0WdJQykcAHSpJAJws/UYGZQuSDpQA4J6oC79RiYXDnn1+oayK+pqxrXrt9e8nxXBSW79kpclTRMWSxeWfHzfd2/PDtwH//+PTzz+/YfmxX9b6DDdW7DtHfIHklq2vKXFPWNXVQjPOp5maVdmzjsNvo6fAn47MbN0L31cm4scFm/jjz+tIIkBWKQZlDF7PnU+ZnNg6LCZDNqhDyoYs5dMyEmA1jw+4pn3fG7gqunGoKgppwTJnPQXRHoQdQxl4zG1+Tp9CXHqfy/IS5ZnmOC7dqDRDI6pqlyxsE0rASXTOfiFRXI6HldsprWf/iFXBNxKQUecRvnvhwT2//nt7eD+/8bHV+6HdDK3PNG15vd5PCLeEZBNJF3CvDNQ9gDr398+uvyvnQ66pEPvR76ZoNJ+bv9J/pP3sFs+fI5/35ly+89Nvnb3744Yc3P+yfn7/0yu9vJd51H7hve03hxKPWSxA1026dRkUM2e2G6eUCvU7omvi1xGHahVxTtvUUJpuQc0W3tW5EtM9HKqtr7tx9MWevea0Uuib9MbJl/6X9l3a89/yePR/893PvPr9jz9GqKsQx6GxA5tLahub8O0Xmmhldc36+X+iahw/Tz3SuIOrAmNkwlzL5TeY5GAlAyMUB+DFnrpkDidfuhQCmDzQakQ+dPIK6nV1tbnj/4E80xGyX59AVe02NG/PqbUZbfHpgNQVneSZsZp3kNmjIMBO3adZek/3Q7zVC5fwZc81yHh1uW0kRyNpr3lwTXfP4GUXQlN9omf+S9c7cHmRR76w9tAv8ogF+6CKe5jevf9p76VJn74nePXsuXbp059Pnzgd+YlCexguoFSGHH4HF8qHfDWpG14x0pzTELckHnTzR8ZTPlZyuSfaaNZtEPnRZ18y1OrMGLtTQeQlz6CeuXpmkyO0/+vUrez488eGHd8A191wCC33l932fTBRB11TD2ycNvx5J5za0mc2SRmUwG4hr5hMtoc1S6D8waArvlAcBbeM3NI0pZQksVUv14TBMxRfUUKhriphH77/60os5XTPT8/t5xz0gKCPQq6/fsn/7pY/e27Pj3U9+/MObH97ZAX6Je6Ghljhn/s1SW6hrIh+68ENfqGtq3BqtWRqGH7EHWhS4JhASHvwF3cwDhlcZgUIEiGvqp6zjmD33J51G89zsGKYAtBqtpIOumZlD34w/U7X0FZzdrdEhvNqKi0Qk0yCNwXYaUdnkktE12Q+9cEgqaIu5ZgUNFje1uAiAa8p5g0qna0LUXFLXzJemZO6QvwenNcKZqBphLOtefBoZEa+88PKeg/3X9kATPDZ/qffOpTvQNT8POME1aZoJxPAudDARbPZaTQvzBt11HM5GDcIP3ShzTWKa5N6dRzdJ17z1+S/fhK6JUI6YQq9trkeAJtleM7/ltE6Eq3b+WG//wfqr1ycR5ejVq+/d3NN759idO729d+5cmp+nOfSi6JroPbkFpbWGEdtoV1fKrW4yyjH48vtJ+KhVZoOkShswx573UdoggVxr0lpzU8pAJp8g6AaJ2Os9/dAvy37oebrmQgxWvk2oyX7oVTDZ3HJp+7EdJz5976n//uZnP9xzZ19jQ23D3oaGKnBNWUzNXEBwzW2CpsJcE7omcc277TURvGpMP2ZwWqfp5xt46NNuSZjD5aHBq4zAkgiI+2baHuuzJweaZp8ZG8YOFb4t5JOnytlraujrp9eQWw9FflhxgfUKzSkod6msay6Mr0l/YC/ZTv6gHBFgrlmOo8JtWhME1ljXXGCvuVD/EgRNqFqytlVV3dlAQSz3du69+ubTV5586uqJ+fneg53185fmL2EO/cM9l/6fbK8phM3FuabsGyTY6L0gzXHNESJimGiGpRRSC2WFTWJqwjdI2GsKXbPqe3TNqvre+S0nThy89ubnV5787CqMTKHEwlRzz4d3eqFrzpOuSfaa5HCTKfdq41KfpRHDTwui6emOzAwl8PJCndUhOH0B+aZESHqNwYCgR+CQ+T9TsOM0T/kiQzOJRCTZ4XWYbGaKC6jCz2T+YYW65ghiHgk/9JLpmkQkd905uGfH0Zc+//iHeNvXsLeuurqGyChU5bwb5W5dk+bQdQcKw2tiUOELlEbYQsvAsPJDDj2KWEF+N5dCmfczApsxV67TtDiSHeGuFP5qG0N8MJBMSOSwScmz18Q3UoOwYXAYgs139hFC1HF5BX/lInUtbF6wpPPp8XWXrol9PCIVhQBzzYoaLm5sMREA15TzBpU+H/pifuiy+idTTkUJJFErU6qq9jaAaRKxOPPZZy9ePbNl/tiu+fmt81t7Ozv39MNk88Pf/l74odNjdwldM5M36HtEAJlr3vBGOkaIfchcE++QwkTloJ1KfM2MrgmuU6hr5lNnuTew15w/iCw2L776Yv98bz80zUt79pz48ARosqxrCntN4dx9P1wThpVardnmGwoGXEF/MNrXGrO0IBY0OpJ3s6gRe1NFh+JnDL9f+Z+k3SlTArGAWmMBvz/otzoG2uDKnqY+5x2Wi6+ZsdcUfugFumY+Bitfl1Gj4c+cu33/RwffuvPG5z8+c+fOica62qpDh6qqcEMgRnxekbnmNqGICj90Rdd8hIYuV+AM5NaPSU3gmvgjAoV8oDQYaw1MdLkwAt+PgAp20FpzaLQJvmVu+o6IG4meE+CaXdag7BtEYiZZoOBvNXp8CAVyRUvhnJdWk1kMfQmp5Ow1Ob7m949TeR7BXLM8x4VbtQYIKLrmydM398Hney/CYefLRYq6mCcgrWgPZCmZMsjzySK+ZoEfOn2aKfI6lnlXgwsI0u80HNpWd6j27Jn+zvqt9fUNiNWNAIr18zQRjfiaX1HeICFr3otrpuhJf8+S1TW7jRQuCAWS5mY4bEv4ccGWVoIfiTyHnvFDp5hHWT/0/L4otBkWhyfmj1068V7/tWudl/pP3Dl27FL/R72X7lzq3YOQR+QbRLrmgfvWNeHq4045vYF2xPpzDoS9wZ5xa4ooZSHToh8saJpto0bqUB4aGrNBZx6YiU22Brw+U7c1GvM7unTgpZSJOVcKdc1MfM0F9pqZ8VzNu3IPiDtAOb/hYGfz9sYPPn+ycUdz814E8pS5JmWcyrtRFuia1Vl7zcP57Yc4ROL0mNtjHRjDqIJmEt/EGOuYa+aGmdfugQC4IxJzmaU53DwiCwBCVbgROIseL3n2miotLKPxFNGrJTe+aysuiJBAkdcyUchQfVbXzMXX/L5H2j26wR89EASYaz4Q2Pmi5YBAVtdcC3vNwrxBWXKZIaQyI81Tq5CNBmkH9+49VtVYK/LBbK3rrOvceujQVkoOU9977FLvh6d/fx72mvQs/j5ds4A23Y19hmvOJJzxqfiNUFfoBpV4fOpGC4QEhGJM5+uayBuElt5L10R3th7s7e291HsCOYIw50+z5kQyL4EmY7ew17yFWO4H7lvXxO/QaDjhirkSpq6UOTURaY3OtKkwjVcQ84j8z1VptTHs8KXuttdMh4Zik32JAdtoyGFvHQ/6mjQSuSXkI5X1Q8/E1xR5g0qiaxKRpBuiAZ5Am8588PWvG890HkKodlGgat5T10Sqpv9P2Gsi5FF+B0AUUMbMTusAXPUzgaL0Eryo8rvJ64zAUgjQY2LzsHZsGNPjSMCFooFRtzC4ybfXBCPFP2KIOphCr7yQkSdqR+ZZFaYXBNW8K74m1bpUM3l/WSLAXLMsh4UbtRYIrKm9JsVylxmmTCsXX+bJVZQwHa9j9Wca6ij7YF0dzCQpF09dfV19b//8pQ97f/v788F3DBvE05w0qruKXve9vkE4BxnAScvUhLz+QCTpTSY7OjqSKFh0dIfjbQg2Sfabcix30jXRkNuL6JqCH0GSU7pZf2nPR73zdy6dgD/6/Jb6+XqYmmJW/QRocv8d6JrP9SFH5YHdu3dvpCKm0Q8cuKsLyo4F90P+YSrzQCLWEx2Km8cw6zYXDvq9ZsyYa90gi3Ih13qEZUlr1RMzAfuUmfzQ8Qn9R8FksjRtGZ90dc8Nj7lD3e09k0NxnWQm/TOvIJS7HMt95045ljvyob/0RKG9ZkbLlpFYyTKDmqxsK7QSO6urGz/40a/PnD2zazsmz1FgrbmX0M9J4ELXhJM6yfII5o5I70+8/W5Kd5iCHuXBBisCqL2YQ7fCXhOGdDTk4ARud/5BecfzKiOwAAE1mVuoQQTd+DJR2gMdeRKqRGjanG8QvlaUEJa+Y+I97zu03FVchMIkIE8sVUQlY6/J8TUXjEnlbDLXrJyx4pYWGQFwTdkPfS3sNZfSNbMkAxRNmNwpPKOmlmZKa2uraxroHZlkGuowhX6oqrp2a+3W+n27Lp3ofVnOG4RHsdA18Q7GSY960Ap4wsCaSmqCH/oIaQxLYSeS6EDxw+O8JRyxw70mMSQK3hKJhHdwwAgRg9yECvKhg+3s3du8dwci8cjUUiGYeVtV9Q3ELutr69ELavPW+tpqClcPafMS+aHfSvzKoN+9e+fOnQrXPHDgQFqn1UjmNp16s44y32kRgggOAu70guZrhAsTzfSntbqujmhr65DHMDcmabVzE4mID7PiZjPZcUpmCT9a9AMJPwOAM22N+qdBnrGHQMNuDX7N9Iawq6fHaoIB2pgZeVFOBRwGJBhCCCUDnNJRD/njZ3XNnTsvXqQ59MV1zdVMn+ffA2L4FSIp6rr92ddPnm1s2J69OW4XWGsS58cMO7imcuPU1vd+gXzo5If+aP6o082BuU0DuKbourIAZ1iALW8yAosjQN8Z+uLIf6gISknb+HKo8/MGyd8tiOp0PB2+4kKV0kn4G1iuJmevqcTXpN2LN5L3likCzDXLdGC4WaVHQNE1T57+aA3ia1I+dNlekzQpKostc2qVwhyUt9ptyFgJkqmchQiL27cc7P3F9fPIGyQ/zsUDnx7OeAgL11DK8K2WUl5reATP7SXR1GvwmUqDQ6Qmm8mRV7q7HR2kazbNqfVjw7t3u50i5tFTn12FvLb3ds3tvXufbX52h+A4mb5k3uVmb91K7d2Kl1Lkj5FwaPv+gzLXPHIRVFPmmps3g2tKKduUyWQyatOpKdNAihIwQ6I0oJjz/hmamrT0e4Q+Ivm5z9rT6jI1jcEfHWEyR0zhaVs8PIgZ9aYpp+lGk6TBr6JWpNvUD1jbA54UZufoZKi1lM0Sy1R332RrZGoYM3faFkvr47GZFtt0+MKFkEHbFg97bGaccJeuSX7oZK8pJEZ0MNP33Bguf43wyT9fxktwze3ENZu3VcOYN7/k6t7UvGPHjme3bVM+3VZ/UI6veVi9e/fCYVer3JhDp6lQLoxAMRHI80Mv6t2lkM2MrpmNrwkmWszmc10lR4C5Zskh5guUKwLgmrIf+s2j1duhDG1Sfu7zf9JXvZ5R+0iuRMnPh446iSkstsxeLkclxBplSoc8KPgGdshc8+gvrhf4oS+UD0A8ddA1wynioUsNgqxrEtdU5ygdsn6Il8GMiJRjVC9xTcqH/hzF1zzTCKpZc5uYZvOzwqEp05fMu9x82hIl0xvR76qabQrXHPqVQUVUM49rmqcc1vaY32lwD3hd1gspXFoPu7CR+ERemYoPxGEJhhk6nVulSyXGH2+PjMxR8HX0dEwy2HyJwLgrOT1lCWBpppiZ4p9aM2CJBp0pxPpBtWRqRpQT6mfI29rTN4g4pGn3XCrR9/i43eSwR2MukyTFHYFAxw1UndU1M/aaGT906iF1MLMUPV7hYsH5Cl7izjn02dc/PruvmnTNDIzy0ZlLbMvnmgCXdE3E1zysXpJrLn03LHWX8H5G4N4I5PmhL/msuXcNi39KDx98Szm+5uLwVNBe5poVNFjc1OIioOia76yJrpnLh55hYDIPK1zm2ESGScjv0DW31QtpSxyf4Zpfng8+ladrCu8PMDMKaaPC5LJOpTNH7GFwqKUf/+IzYYOP8MsazRjZ5GMqOT0Ga6yxsTEEz9PCA0A7Bq4px3J/So7lDq6591lwzXvpmhn+JfcRPVFWhK757nN9P3/XcDE3hw5dU60xGOFSHutzjErxjqjf0UKTaPBNupAoTKts9UJyxAw6uGbbQHDyVNCX0ho0COynQsYgXWraF4n1BSMdFrvVF5KEZz3sCtJ6yWONBk3GYcochPlzSi4EYzOVFLZO9kQ9SN0ICzEbdM1xq8dn6Rt3hd0Gk7012m3TAEEImzAq3UjcGDkqc/nQFaKpdC43gitZo1GWwZHPUkadyOb2NwTXXFrXxBz6Al3zZ2+/+zzsNR9dStdc+m4o7heMa1s/COT5oRf19lpK1+Qp9Eq7t5hrVtqIcXuLhsAa6JokRRJhKIivKXhFhofJalVmKXMM5YA8srKkrkl+6EQXhdEUkUXwQrBD5FnU6txSeg5ck/IG3YNsEpx6SssIaRMcNVtUOjn9BygrCnFNoWu+evyzq/BDv026JgmbK9M1BS+rat6/fwfNoZOuSeaaWV0THjyalGco2pMYkFoGA34HkTxVWq9NwiIzr/T02T0pyJVoo97miJ06ZfeYkV5SC/5pNuvmYA3g8fe1BixDycEJqLqYLdca2lJmc8pkbXcNdtGUPFKTIDMQlFFkN3F3ux7v8YcQMhDrcXvr432WkNMb67M6zakOuB15UjSHnuWau2XfoIy9Jo0ZDVVmSdsrLQvOV0ae7pxazKHfW9csmEMnXfOgrGsuPYf+PXdD0b5gXNH6QSA3h17kuwvPNjyYsvnQlfia3/tIWz/IV0pPmWtWykhxO4uOwBrrmhk/dOIkVBZb5uhlIVtZQte8fv78TwXXJJooqCIthPcnoiCTq6iBuKaw4rwXfCB04KiajNMnPchFjeIxT+xTlWevSbrmbZBN0jWb8crvS36f5B7KPVJ6I38s22tmdE0y2NxIfuika8KnSWs0+XsCDrMxbE/AtFKtM0gazYWhmRlL9jWT8PpaDPALckPbjA+NnzqVsEnDiCCNDqAG1dhs24R9fDKa8Iym2ijEn8qdGjD5TGFTJNAXi3Q7w6YLnhZJRZGiQUTT5qHY47GhkTGyJDBM2FtPxRKjnkhrrCPeFkq0ttqNBmiiBfaaI4quuRb2mivXNRV7TdY173XP82dFRaBkuqZ4FmX80Dm+ZlEHbU0rY665pnDzxcoJgTXQNSFq5umasukmEa58HSt/XeFk8gE54lm1tK55Ml/XBLukQrQThBPe4zpwzbARqWGWnNcSR4NTkisRObHnXqImeM5QhYJryvaa8A3K6Joka+5Ykb2m6HhV89HtO/ZB1/z5rzCHXqBr0mS+YcrSE0s0jYbtSaMhjWlyXXrYNuD0OD3Zf9MTITP8yqFjqlUeS+upU5E2CeonORKBYoNuYiY8dsrVYXNv0JLzj8pg67D4/Xa7q6+nNYh3uz9igjs6nInQbXeLtfVUsLsJpgcayegMwA+9wxi2tEZ9tpHB4OR4wozY0vm65kXMoSNH5fuvfvAi4mvKXDs3qtkxXMHKgntAGflV6ppZP/Sl5tB5/rGcHkMPR1tyMY9KomvCXrPd0mEa6GI/9Eq9X5hrVurIcbvvGwFF1zx5es8a+KELe01BPBdXNDOMJUMwC4nKErrml4W6JtxcQAxpPh3mmipiUu6miNWZWpDauwA4YqREJ8VOopf5BaHzoHbC3VvYa56Eb9D1N5/67OyZuttwvxa65o7m23LLM+3Pbd1T1zx69N3nbv18ynBEkM2srolEJFr3qLev1ZoK+azdyGJOU+jojmYO4YxgHSDeZtNuMzzONZgEV6uc0CEnk0hwBNNLFSKwpyWzOT1s8EYft5tS8CACBdWqzVOWvslT/zE5Ofn4qdbJxx8/dcrltbl3a3SUda9tKtAzaZk2n9Nr3KkbvujkKfhT+VytrvBIHCw05nUjICVNoWfsNZX4mt+88AHiaz6r/OGQ1akzI7iS9xxq8lm0TRGvaA595bom8qE/j5hHS+uaS/7lUXBr8AYjsGwEcnPoxf1LRvzxu0h8TTymlt02PrAcEGCuWQ6jwG14IAhkdc3S5Q0CV8jTNQV3yPiSg0sQryhcEsMQZQFRWVrXLLDXJLcg4ooi3zVMNlVuI/zQjaBrSz6YcTB9rHBNmi/PFJwOkkdz8wW6Jvmhi8w15IfevEp7zR1Hd7wLXZN8gwp0TR3CYc4Zul2tAVNHpGNaj21ItVrDgK/b4cA/ZeHoDiMMkV6PFN9a0jV7khKCceq1bkknUU4c/XAqEYNUmdKQYgsq7TYORoYiyYg11jpuxUrSOzht0OgRMRqIGU3RydahLgT1xJWcM609MYfNmIS5Zle8OzY56b+gRYDSXD502Q8d8TXLVdeEvSbiayKUO+uaD+S5si4vijn0TD70JZ81qwGGHmd4AGXtNVnXXA2K5XAOc81yGAVuwwNBIGuveXMNdM37jq+5mB864ms+lWevCS9q8npBoQUCUkptXRHEcr9nFkKQsQxFJVvP3IvMHzEuysO+ML7mXkXX3LE6e8392/fvQd4gMYeeb6+pkiRMjcMtvLVvyGLxGLVIBAQjSl2q2+oPUhFLLOzeUYl4tWTQxb3jpyYjCN1OEYsMhtHRJkmvh445/ng0aYTcSfPf4JBdU6GRlK072Bftnh5JpUZThjGKpkQ97upAdM2OlHlOrTKMJl09fVZPky3RGku0mBLQTC0eA1J0FuqaIzSHLsfXrERd84F83fiiDzMCa6RrZuNrFlc9fZhHplz6xlyzXEaC27HmCIBrynmDSqdr5uw18/IGQbi8W6ypeUcAACAASURBVNGU9yiqpnxAnra5PF1TazZ23bjRZbPZurAIddlGQuGE9UILdLl7FKgGmI8m1kWsrLDgNDL9hLqZ80On+JqyH/qqdU3Ya5Ku+dWvDEcKdU3SIFVzA5HWVlcwMeqGPSYFJdI1dfj7+sbppSyiVsR5dyOmkzQGVfLU49YQLDtRzF2+QcTP1E4l/X2P91ltqZAtJaXVkHjndJpzs+6wPRYIp+aEGzodr09DCIUy2hMddM+p1JLN4Zps9ZtS5gFrTzQx4A229vQkTKGUW5XTNXfuJnvNXN4gGrP88cyO4QpWFpyvjLzQwVflhy7nDVpK1+Tpx3t8HfijVSGQ8w0q8t2FSXR8TxfG16Qv76raySc9KASYaz4o5Pm6DxyBh0HXLPBDNzi7k5gq9ia9kYiXStJr8dvDI2NQAJdCW08EE3SSlliFXJD3gtWnoJ+YrgbXJHvN52CvibxBGT90xHJ/liiV7GAuM6bMlvwu0yaFdsmH5fzQ4RtUaK+JGXtwS4Qx6mm1dqe0OkRnT2sQsMjT7Y2Il7zwJuGHDsd5ivxpDsGm0pUMmd0G84izI+KYvtF1w2EdsiOZ0KDJZDPoNFrkbxZ2m+cGEF/TkxrTzWnGIGiipypkxPQFenpcPgNsNZ3JIKbOu0cRHMnfE7UkE/7W1j57MtxCwiYQVOJrZvKhV6y95lI3A+9nBFaJQI5rFldxJFKJclfeoOJeZZWd5tNWgABzzRWAxYc+XAiAa8p5g0qfD13kDWoshb1mvh96k8NiDwbgb+33B2mJRTBo8bSRyeJSQ4cUkFAI8DSHgknEMkc1sQ9UTkUnYnJd0TV/KfIGUYpKkTcInuir9EPfc3pRP3QKzz6WCkd7WofiZi2uTFQYqYDazGb8UxZIatSmQ8PwoX7O3ebwt44HHQOhGwMmrzUy2GVyIIi7z+FqHbckB0fIudwgbd6MCXZpbCIRDXiaqMtgmVhCyzWEIrHJ1kC3LeTsSPjHo/ZwanZu1BecjNotCWusNRaY8Y3CgSobXzOTN6ic42veW9fk3+mlvg28f7UIlNgPne01VzswZXMec82yGQpuyFojoOiaJ0/f3Ld9W/Ne5KiUJ0OVGUwxMbrqdeEVJBJVisWL8EM/I+etzOh+GS2QNL/Meu5ytDdXlvRDD8pcE6wJnEzqmhjw5BVECfIMxJukDfeYb0KAJIVeCstMxTyTuCcxUCKfKFhR7DWFrtkI3yDZD32VuibsNYUfOvkG5dtr4rJkPdo2EB23mszniP+KlujHZufm8A//xXJsDlHX5Q/1mjmbzx5tjfotVqs90TEQ91jao1afzTMU6/EjQyXMOHXaNA5WuQ266UTU70xtpN6JQFBIrHQjGeg5NRnzWyyg6PaEYyAlzc2mLgQnW4Pe7g7XeKvdZ3MDhwW6ppw3CPE1n1Um0BcZw9xoft8ajXT+PSCPvDyHzn7oa/1g4OutHAHYayq+QcX9S0Z+DuV0TY7lvvKxKY8zmGuWxzhwKx4AAlldcy3sNZ988ngpdM2gU+SoJOVx82awqcIC9yC3NCcSmt8fvrtRMnmDhB/67fvSNZv3C3tN5A1akKNSjwCZ+mFj2O8fRMqgBW3esBnx3u8q6dm5kQsJBM20WixDgxNtTfGI3e6wIdnljN8bTukoKxKoIkKPaqXZqaGg3dlEBJa4JlDTmrscCZBMayIyNDTk7XbaDGNj0jnztNdv9Zri01673xGXNFB8s7rmzp0XL5Z1fE3ZD/0I+6Hfda/wjpIhkJtDl/88LdaFxHdV2GtyfM1iYfpg6mGu+WBw56uWAQJraq9Zkvia188H4IcuK5CUOXyzesMGPVRMpaiQ0Bypzclr5j7hFlyT7DV/SfaaubxBq9c1hR/6XbpmGo7lKnXIMYQw7BuX12gEdB9zj0w7TYMXPKOGMcTINNpGzWPDY9Jo3GigSgQabje9hZJ2izOFGXEotSJNkl4yp1IjIyNGo3EkZZZmoWmCf0qSwRZPGcyzbtvEQGp2mFzyF+iarstfv/+b1ytU17zPu4FPZwQWIpDjmqXVNSk1LZXiXmVhb3i7+Agw1yw+plxjhSAArin7oZfeXrNk+dCha8pPXjHbLZ7C4jksE1Bl+/6fzDldU9hr0hT6/dhrKrrm3XmD1HDjkZp8lmTYIOmWxzVV2vSsZDCnjC22EbcWETdF1CedJM0ZzEh4jkTvRDcRjl6jk4bbJsIeROjDnDopncJsE07pkoQIUWYDZbxE9Hr8Tw/PGlLS7NzYa7AQnUPQeAReyuqaFRJf8x665n3/6VEhX3Bu5tohsMb2muKht3a94yvdPwLMNe8fQ66hQhFQdM2Tpz+q1PiaX+bpmmR3WVDAPuVShOERXNMp65oiH3omvubq/NBhr3lQzhu0wF5TZY5PeMJJi8m2UyfdM1JTrlNqhBWdHR4em9XNIbc5Qotq4A6kQz6gsY0bMCePSXmImPAi0roNGq3BbBhGCPc0wIJhKBl96nV08ticTrY10CG8EcF2ToImrFePDW+EbxE5E+XpmjvPUXzNr99/9aUKzRuUA4/XGIGiIFCy+JryM4z90IsySg+yEuaaDxJ9vvYDRQBcU/ZDv3m0entzM3yDlJg8smfG/S1lP6CSx9cU9po0eQ7foEKuiYSVSA5Oe4sAcp6u+QHlQ99bd3+65vYdwg/93QU5KlVup9UVtSZNI7MghMvnmkilSZ2lyE0ioyb6rVeNyTRT/FbB214PeVKvHx7Ww1cIMiUQI65JoBFSlB+Jwoxq3AbyI4ILvggrT1UioDxyquuzuubO3XLMI/ZDL8KNxVU8JAjk5tCLrJqLx1ouvqbiG0SPvIcEufXSDeaa62WkuZ93IaDomu+ska55vPh+6LK9pmBTd3FNUCk5waTgoff5YM6z10SOSthr3reuCT/0xfIGDVj8wYhpxP1fOmiJd43YYjtgdwmFEmwT2qOQKikPPEgkksAL3VL8Vqlgs0rEGwwWwdvJUpM4JnYQR6es73RCGgkrsY7KcGkNMsEjBCeCIoGjpkFL83RNOZa7kjfoNvuhLzYsvG99IZDjmsUlgcQp8YDL6ZoSWb6Isr4ArvjeMtes+CHkDqwWgTXQNUXkIyxqEPPo+BkRw6a4+dALdE16KOcXAQxNIMMycbUgyect0DWLZK+JvEEL8qFrbL6ODqdxGMk2EX59WW1OI846+qhD3HdSKEEPwQ5JpBT76SPQSVQlfIGQJghWnPkYwXMKtpxUBdRNHEghkujnLI2ZeNI9VRrahYn4u3XN8s6Hfg97zeKygWWNEh/0kCNQKntN+kbiO8zxNSv+/mGuWfFDyB1YLQJrrGu+2liDKXXwzmwkRZqlz0RVlNdzcRgLZ/CXiK+Z74cu5tDBq7JFoWqQBUSKnNWiJM7L2msWLb6mkg/90cK8QTpzymZrMyDIUNpgEGHkv7fZ8hS4iEOvQiBNiJVgiEiEBC0SU+JwDSICiVrS0DNJuNSAg9LUuCKPCC99iiMqptTl8Ejk6gqyKxTQNLimnthnnq6p5A36hvMGfe/o8AHrBIG1ia/p6WI/9Eq9oZhrVurIcbvvG4E10DUz9poib1CJdE36u38Re02aAJY/ouXyNMIlIc3qmnLeoCLpmsIPvSCWu1azAY4+EtlMSsvkmnDygZoJdkkZK+EChGlv8Q9z46CbsrM5PlWn3eCaGmKgKvEJ+CQZZlJKJcFNCS0onNitIn1TZ9CRFajMWd1uyJogm0qOSoqviXzoFatr3u/dsORtwh+sWwRyc+hFvrvEFDrZaxbE17z/R9q6HakH1XHmmg8Keb7uA0dA0TVPnt6zBn7oIr5msXXNL8+fP27YID+NF/oG6SlfOIl6Ymb9PsHO2msq+dD33re9pvBDp/iau3fu3Llx48YNiNN+gH5BtBJ43pjwz1leo+kkmvkGl1RW4RQkr8lLYqOIZCRpELrdLelI15Q5KOqXfapECHkgpdVB0lSlZetNnEziJ87VEdfcnOOamXzoHF9zeSPERz38COS4ZnEtNJQvcsZek3XNir2VmGtW7NBxw+8XgayuWbq8QZgyl/nli8gbVApdM4D4miCTCmciO/rMi+JHKtImPa/vD6ysrvncq/ANOgPnoPvzQ99/dMe7X95C3qAjJGtmueYBNB5EEfqkVtIss8Vq8EF48GByHMIm1rGFIrosOk2fYkodPBMfUrpKUjaFy7o4lJRNeZPkUFJG6TNCDjwdcZfUmHunBi2SD71idU2gzIURKCoCpbLXpMcZvsJsr1nU0XoQlTHXXBR1+qVCwWeZd3lFbOUt7j4582HeJ5ld4j1v//JX82tY3ln5ZyjreX0prCNzLO0V64Ufy1v0gbI/c/ySx9Jx8kGZNXFm5jyxscgi8/k96xU1Z6rHkYvUs+xdWXvNm2uia96XH3o9SjXxVkFdaxsatm/pPPoL6Jo/pVjujxLBUu8m5DJUc+ENi87eR1FfvHhRcsZunc/LG7R3b/OOHc079sqWphl709yWbIsqW6DSXhQlplRz/fb9vRRfE75BsnPQzp0IYPnII/S7MqbRjKnHdAYt8dtlFJUGs+XwBtqt1o/BdVyPzO27sS7TTVpF9iRgsxu+Qbt3IzHl7t1j5EBEbJRoJc7CBVUAbwxLFVbBMVVjYK04TXIjVJJOq8bJaTTvEZxC1Hjnf7XMyPE1Xzy7F/1fyuY2Z337fWs5cPLxEr5k2zkf+rK/0XzgA0NA6JohFRmx3NdDeWEHyJQattRuU2vU2mEaCKWk7JzFwkN5u6wRYK656PAoP1X4jH6+xXeHfpgyv+Til0r8qN99Nh2nLxQOlF0QmtLLDBm4oFr6VYTOAm/Y5foTC8pB/ENuMq2hL4v7I6NytEzp5RK9knUzuVnUHaXewn7mtxqeFkpjIRzJvRZ/oCpo5h+aXSeJCdB9D07UNSUQ970qy9a69Apxr/TzJx9DzKPSx9ckXVPmicRMiFEstiTOIZdCdlItaIesklZVV58503hnV+feF6+fP/+OgZ69wqflUXDOhRQTn8nlPogmTr342txr5wZax88/9xvkqDwj7DVrt23bsW/fUfjV5/qS3yd5r+hNpjOi31U1W7fOH7v0xpeXf/4r87lzzwj2tnOD4JpYH0bB4tywvP97l/LhOEecSVtUMu/yKu0TezIL+WMs6VLiTT5A2RB7sBgbGx5+ZkyumrjmBjXVvfOfc7aZwGXE13yK4j9RDwsxkEdwJcsF5yt4yVzzs69/fHZf9XbhU5YBkrDNlE2g/Due3bZNbFfVbKvnfOhLf+f5kxIhoLZZg9a4FlHFNMvz6VtmOzAdsVmtcZt9fcQ1p21ZrrnK39JlXpYPKzoCzDUXhVT5fRY/3GI6jn7D85gbJtnA/RQOpdSQ+VGn/TJxy30g/tgjK7HCTxa99t076dKokyYKl3u+TDGpKXJz6HxB4ogv5xXRaLQuU7F8XsEh8tG4eqaDChJiM6+qwlUxM4mKqW6RC5Bq/p5TiNCS1eG9cRJ/6BLfpbg29/VYA4d65MjzJ985vTa6JvzQhSpJzITKYsvFuAQdS3pm5lVbXd/Z2XDs0pmGJ65/fv4DQ1r/qPrIOfWjWGLx6GbldX/kcsHZ6jkUT1+f/bm3jyMf+m2aQ6/esmXL0aNHwYFyfcnvk7xX7hEdg6JQpLqGht4T715vvwJdU6VwTfVm0g0FlSvLBTkHQdeU2zZns7guz3zz6mMvXuvcWkddzHYuN4IrWVt4Pm3TqKOUQtcs/K7yFiNwnwjgeRyyBi1TMInWCCUi92Nxn2sqcM3NKp3ZJLjmQJfgmqSIMNe8zzFb69OZay6OuMyKFFZFNE1hSsSX6D9JgfBZzT+ZdgqaSUcvZGtinzhi4Sf5VSyxnqlXJmtLHFS4W2kuziRbM+oHdSInNmaOpk/k1uIM7FTOK+yA0nhcnpir3LdMlZmKFr6Lc+h6FHlGoalUOypZeGj+tnIpukz+7vx1PGQyrUS47vxPVroOPiXnDaqAfOiyJCrIBybQa6sPHWu+1vDE05+fP4kIQcjnjfThCB2JRSmKNIeolIaUMxb7/Lnfvfo66ZpgQtVbtu+/dPTSKnTNuv4z/ddev37rqynDoxAOn3kGEiKN/CNqWVcsyyUxTTXyDqG5rxHXjH3d8ebrL/dvrSMsZLqpkE6iiSssC85XaKrMNYuva977O7jSrxEfzwggR8INe9BygzzrxE8DiQxFKTJz3QjfoFj+HDoUidXNEfJYPSgEmGsuijzlGEEBTSJNTnA9sU2p7sDNZNIHgS3/ZPolWpprKjwL38T8c5a3TtenmnFZ2Jst6xxBIbPNpN9xuSwkcdRmhTyK3lDf5NPyLoNTM80XDaGP6ERCYqki1yO3G+eLaXpACOp7z0dE9kKaJasWHVHao0FsnNUXcE3SNU+evrlv+7bmvchRKZMG5ZdeEIhVr4MnyEKkeKOYR/cVXzOraoJ0NhAHqe8kXTNw60eO97sH8e93vsESlu5uh8Nh6Yn993P/efyzXzTuvQ2koGtuh665QNMjkiV2Ke8ygLQXRflgfr6uv/+V62SvqTk3JheV6giKslGGb6J5MP0U5ZyR7DW/Ia5Z118novNnOre6GyYHTj5eMtcsgb3m6r8zfCYjsAgCeMKH7H6LDd51GhIvilo24zcX9poxqyPfXlN/zx+SRdrIux4sAsw1F8UfXJOmyUmVwzeHaCa2aFurIYa1OA/CfkFEiYjlH0HfO7ELO1fHNeny8t93YkZh0SYX7hQtybRCvItG5Jtd0gnYibqpgTmrSrm/+R1Q+kPHoCgz4oQJMcMlCs10izlxorBUJUEJDO/BNakRWZyW5prigjLSWC5x+WXtzuqaa2GveZ95g0jXVLgrkc2Gzs7OMzVPPH1+PHDefv68Hy/75+dppTT//CiuaE/s629eRT502UZxNbqm4O9bd81v3dr/xXO3PnnXoJkdew2vsWHimoePwD6yTIvq8OEjR1Qq2HCivedGLK72mW9+8xRxzQZBoolGE09cXZHPzJ4vE05Zy95efF1z6a/tsr43fBAjsAABPLpDVn/ChqkzyDOyElCcJf3mpFUbDBRfU+aaYpZM+U1a0AzeLGMEmGsuOjhEe5YogpotfhLd/yh3cU0NeW9QWSXXFOcqmilRt2UUsDv5gnSsuLK8mdspKqFNUmNJvFXsX4ghghPmX0Y5iQ5FreCMotBe6tLiBWY78gEKHpmNe5yCtIDKUd+PE6grNXHp6y/eqsK9iq65NvaaxdA1SecSumZDQ2NjZ+eus09+fevWrfHx8VYUWvTQSklKD+ru6bn81fsnX3/iLOw1QayEvealo9XErmSOleFKGcZF7zJtUhiY8sHWrXX1/V9c7/tkyn1ENUx30wa1+gDNocu3VlkuxRw6blBqnK7L2n7r62/efurF/rq6uq1y93MYKFRR6ftytgoxzOBXMl1zya9t4ReEtxiB5SGAqfOQ1T5kw/cDybuK+f3VwCgI0crcpvGoRfZDl39Y7vPZv7xu8VFFRIC55hJgyqwHbAaTAvL0Nf7AEuxGZlwyQcs/Wch8RNzEqXmfqIlrEuGTS94ny1ylaW5wQdJUC0ngPc6nM9AiaqZe5n2ixeJvzdxpFJuQ/hTVgENmyCmdKLqad1h++6lW+uNVBiN3UOGayBlIZJCeO4oBANaBQ+FxeVuCa34/TsJ0AfZBeADlnbyaVXBN2Q+99PaaIm9Qo+AOq8uHnq9rwl4TNpsNnbvOfPDk019eufLJ159//vl5kjXlJVaKXvx2lM+v/O7Vpz574mxDHXEj6JrbL8E3SGaY8jKj7cn8KsNBs6RL/nhrQ93W+fpXvhz/5CUDYl3SHSIiHmXYnPw9Kbcl+QYJk000VzNqudw+8/HfnnrxbP3WrcCiEANCZ2VlwfkyfKxrruZbzec8AAQQvfaG3eVKXvCZTBcuXMD/or35LlzwXfD5Ej0x6JrTtiZkW6DnxQPoJF/yvhBgrrkofDJTIw0R4fV0JNFhBWlYiHORVTKmhJGVpVBjhCpHkqCGZt0LvgqYkKdvhvzbuejlvmenCgGmiWtSHphlEyyaFMdLS2n20AFqGmmBBS3brCfzUWKx1JVMA8EP775M5kNqqsx76cylW0PHU43CUBMXxgXIvxzQERaLFiim9Fn+lRY7TgiwYLsESmFvFjv6XvsUXfMkYh6V3l4TeYMQ84joQ4aBZXQwYiWZdYVkKNs5viJPoBNXJV0TvkHV1bWdW7Zcu/riZ6+/88Lb73/z8ccf/xIFbx/TehEXqO6bj7/p6Hj/m/fBNJ/CFDpcgyioJHTN/UdXpWt21s3Pz78OrvnYHY0sk6uPHKaCafRyLZkGyn88GX8euPwJxXLv759XZM1FxjA3mt+3tvAekEde/G3Cfuj3+g7zZ2WBANJ93bBGx1128Tcp/V1a1OL3212TsUR3eKqlbY7y0YofibLoOTdiuQgw11wUKTVkMyKNxKtIlEPRI1UdUpoIqRA75N35JytcUzCgAg5EZ+NAkD+ZdOaftKx1uFuLL5dox5JUbUFVkGHpeKX1gsGJieeCpuk1qA68jcg0ukqEkBq6GNfEh5lTcQD5lt+TawpOjovLbSYI1AQqUd8FDc1u0iHY+D6cKOCa6A4dTyesuoBryn7oN9cmvmaxdE0QTiFt1tY1Np754elXnnrhzbd/97vf/Vr8K/oC1f7udyCa77//n2+e/OyDF58A1czTNVfmhy4EwK2N/eCabzx9+cq7hgMKvcxQuXKlmocLGqj7f5+4Ln/yu+Ovv4yYR5Wna97f12bV3zc+8eFFQK03dvjbo9FYe3t7rKiF6utrjfX1uLym6dCIWUdSj9AxHl40H8qeMddcdFgpnDioGm7qHFnCTLOYToc6R4SMSFzBuTR5TuIn2JV+gbM1ZodpN85clS8LTXILCguhsvCaBQ3I30AbcDF8I2XaCHURV76b7Mq6pugK0mdTl6lrOHnBdbBHXBp9QFNkiZL6ubSuSdWQgxUqU7yJkI0FqAKI/HYWri8LJ4p5JA8LyO4y4Si8TGZL0TXfWStd877jayq6ZnU1XIMaausbOs+cuXb15S9e/+Cp43J54bj8Em/FWVCFx4+/+sKrv3n11ZMfvPjiE2eRoZLIpmyveXQ19pp1nVvn77xy/fLnHX97x+nxvONBeQevx+RV2iy/Qg1UWur5yeD59stf//hvb7zc3w+umVGlZXXy+zTMxT5nXTPzpeT3SkRApUsbJgYjQzMWq91OjoTFK0E/XkHUl+j2hGwpw5xwLyBlpBKBWsdtZq656OCTYoYi7JLT8J0mGU8UkDDYKmKV+F+hPCB2Cjtmlc6gKag2LbndOJroX8H+ZW5ggkLnxlR4Wot0ectkVyCFuBgRPUoDrdFJOJO2QP7yriqMNCkiGmRbg6RIubJomHcUeKPMXCGB6hDJkWoS1d6DaxIRFVP2uLZbh1YIbVYQ2YKaCzYIJ7Tz+3AiSq+jRt9njLU10DXlSW/Mm99vPvR8e83qLQ2NZzprDzU0nr36xA9ffuKJN9747JXPPnvjizc+k8vrn30m/1PesLHqNaoR558+/dnrr3/24tWrZ88gaVEuvmbvllXYa26d34o59Cu3LgdgV2r/3A5zU6XkrWZ2lcv7f2caQm083zd++euPEdb+Wt08MU3ij5kl8caVlgXnK3RUnkNnP/SChwRvlCECOrM0NuxOjdriHtNgNyKkFe+V7HCgwu7BbpMzbhtpc2uEKRjHci/Du+DeTWKuuSg+JOyldQZ8d2y2kZGWltHRlJnYDSwnSZ0Dy9EazGazNv9kmHRqJYPBrdO6zUYp/5PNWnMbviPEvlbFNVW6ptGQrWVktGV0JFVYc8Fl8jbQGNI11WkE4Ta7VW5zk5mUVcEQ8w8D88SBWGoNRrMwEcCnd09QZLkmug0kwF7Twoq1gLjm1Ut1CCsDyvhgtLUYR0dHjYAA++8VgneZOKkIfINErVhyQr6gMUtsrKmuWUQ/dFAQEc69tlMom9fOXr169RcvX30Zb/hPb1R+mF29n7WXUQ/Ox79fUKVgmnX4V4e8QUiVKQw2V5E3CBGP6ue/+Dh4OXAZpf1ye3u0nday62JHeS3QSrl5or23xm99fv3ND168erYidc38vzeX+HLwbkZg+QiQhVnaYBy1jU55nKYiF184HDaZMNMRakmZJeaayx+WsjqSueaiw4F52mFd0w2TI9nR4XB0oFyItyGOOywnwRjB2vRu44Czyww+ajSQ5EkzzOCfIwMDRoPhhsdppOOwX14YQk6nUYIiKnYRByRnaizpc8VOUjKn3Eh4DjaGz2VCJjyucZhkDDs6kh0Ip93h8A0YJViG5ooyuU2zyXotGiZUSnys0aGetNQWN00ZtSOe8A1MkcvhQul0agLOwDsEWnBNvXvUNJ0yULQKsZ8+VqE6It1UiCZjTWNomfDEwbFRPemloga8iWNoIU+aE6MWp6DtTZ5uwtDRMWiKN6EBspsQKiPaSQ0R/afK9WmDzRM26rIXFZ9m6xZ10hXVKsk4Yeoyiw7RLH7a3dSmxTUFXhTBlFpCW5myxFT/GuiakCNJkYSuWcT4miCaqBTeQfhfsxfhjyA1nrl27ey1a7RSqnL2zF6qGjyTCoQ7xJNHksr6FemasmC3tb5//s7V41/+6Gs4zwdcAXDOwGUXMU+8Yd1VlgvRSrTNRS0NfH7l1z/97OWrZzrJXJN1zUUfo7xz/SCAiSt304jRaItPTQygTNM/ZbHaN/n8gYGJ6QHPdDwetxnNBp3sIItfi1XpNutnQMqup8w1Fx0S0CC94Ua3HzELRezC1p5Ah00LPY/sLhFPXa03x2fsplF3aro7JIGrSTr1ZpW7JWy1TDcZvZYZjwEiJ8iYTsKEr6ql226fNqh1JAiqdQatenMa/8n2USch8K0WGxrjwKDNbXZv3qwB45OEYqrRCdKmavL4+9CMPphI98XsDrBZDa5GZY9G3gAAIABJREFUvA2z1FqJaJZwmNGZddh0p4llQcrEbLTUZOuIJm9owzN2B+ihmHjebDCrNNQS9BxdSeug1eo1Bk8wYWoxQPkkg0pUr1JLqA6z92CDMhNEN3VG09CMY9QN1ikR+QTPozoFuSObAg1wwAKtB08knNLmGxYCsa+1NRb0etxuHRz7MbevBV4EmoZwQLt0OsRlc7dcsPinUTmK8KNS6TSoSfB4uhZOIy6+We2e8roGjUjNqEpL2GOwXQi36ag3aLpkAKKCwtLfBTgNYNNBixRF1zx5es8a+KE/+eTxYvmhE3kll3aQTXDOOgS7rIO7DhX5TdmQdxVhiezne/c+e/v27b1YU+qDrom87IJrylwrx7iIecklM6+c2c58gPiaW+f7r7382QfH33z7x7/85XNffvnl9evXsfzyOl7Zf2K1bBZK0+jt+vVf/vjt46+/CHPN/kx4TaVzyvS3YJ/LXy/EMIMXDTTnQ1/km8u7yg4B/IbMuc1tqRGaC+yyddG/3ELZWNmbXIktJIoNM2NQNXVzQrChnxc87LlUEALMNRcdLBAmnWR0eq0WS8JitbrANbtHxtIGs1YFZ2piWYbR5JDHaHZ6/WE3ppPhXg2lz+YL+AdSKZ93KK6DSSFomzBW1HR1BIJTbrVbgoyIyQaQIQ0+d0NFhB2jFnvUm6VwxO4EbyRGqIG+CUaLgr/e8K0yO6PjAWsiMTSUsAajQccN1AyNFZPkWkkSc9ki0pJKK4E3anQwqESqdq1bg7aaQ5E+74TZZA0kNfiIPsdR4LsghkQjkQkJdaFLurjV60zhgsiOpNGnJS0+IRKNOtLkdY796LnOcMHqT5Jlp1a4K6nQScxowyATvdcT78UnOppPAV3EKSqdccA+HvVbZhIWv8uVmDZKKrQMh8HgUu8GwdQCPeBCFaU1o4NB17REBB2T/WKfSuV2o0FEG8Fj0Sj8EaDSG5yWvo4WHditXgsLT2PYPgQw0Vhh0kp1Y4qfqDUQJISX8EfK6pqlyxskWCEWRdQ1hU5KC7FCIZRu14ADyqUGb9jeq2wW5w2VytcQPBNsk0K5k65Jwmb1KnRNnLsV2ua1q1+88tJPX/jN2797/31ydseb8i62sC12lsMCLZH/yW363e/efvWnH0DWPAudV+aJxA+JW66uyGdmz1dIKhAG1yy+vab4O3PRBx/vZARWiQB+q+YkN5mWpYpcjMaUEVWiZvec8CmA7iBkhFW2lE97IAgw11wCdqiS7pEJz1SoC9bOlvZWu7NpWG0eMcD+0YBYznClCfu62toc/tZugwRuA1NNs2TzuYLTKfMNp28Es+0at8EgQarUa0PJQPAGKiT6JxEfgxklvpUwPQF7M7jpfHOHf9xHs8I6Cf430Cq1OgniI2mDarOnPRZxdsVDNpvTG221m/SSRDW58dU2QEgkAgvvIVA3iJp6jdmcpitjl6Rxh4bGI9MpnzUQkdBoOPbAU0cD0RNmpQZDGjzRABmVPJpGOi6E3OiZFuambrcBPE3WEPX4DA5BBkzwS27dsMnu8qJjZon4MEwI3Nq0G39vovskoxp0hA8OpNl8/Eu7R5z2mKV7IB6KO+ytro4utAINRO/b3HqQXr0WhpdmMzChjow6AtEBSdPWhFwRxEndGpiRprABjyE9kELN4LnaNLjzeLLLDU6L9TYp1NHnR68gYeJzAsWNTkiAB6cIZrv0HDrlQ6+svEGypCl0TdI2NwlzySzB2VRDr1IVkEzBNEGvwIZw9er6+vpV2Gvu3VsHk9MT186+/MUbrz/10+MvvPmbV194Ab7u4t+b8pryJu8VHz24hWiR3Dr449PW8ade/+zll4VPfkbHlXmmQhNZ11ziwcq7H0YEaCoKv0Ppc3NzmG7Co5f+ySvZLTyZ5V3LfBOV4CQUA/5Lc3OaOSgcNM1FXHOJh/rDiO7D0SfmmkuMY1qrJ0oFWmQIOQKt9m4jpECYK96Id6UgnIEv2kIG94g3GO1OkZZnMIbio3FTIOg0ulMjsHzErjbbwI0REMqx0JArMNDmBosDETOkUk3mlhBcccxNTSNdN0YNoH1NXQ77eBLmKG4dPItsdBrsQiE+Yi5ZZfbEYh0hOtmdmrC0B7ulpjaNzjx6Y7oJNBWSoE4rpbqmQilwTHw3dZLZGPLcaANl1BniQ+ND05LP7oqYMX0N61KdCt495pQN0SO08NuZGAiZYa3Z5DbYjNTotpHRrhs3RrRQFYlr4osNrdBtnJ6+AU0Xk9Zhq2uobcRGcc7SajfQcRuabF0txANVkhZOTF220ZSB/JKgLkJ6bRrw9w05zWhMyhlwWeKkvWoMqRsT8SbyskLT3U22GzdG0To1OLmr3dlk7gql3KCaRECNoak4LDPRDMBhSI3YbrQ0AcKwJRbx2FpsXaPEPePJmP8GTtmsNqcIUDMFeje0oXGjo+DCYNgFTlzZEYeuKecNKp2uCe1Rlh+L54cu6pMrFbpXhliCZJaOZdJFhGEi3sE0hX4nro6JfFmNk5cZbU9mXBkWliVeygoSuqMQ2bz68i/eePf1lz7A6/XXX//gsQ9eekze+uAlsbMMFqIJ1EBqEf6hfY+hrW+8SKpmYyeFtc/vNW2tvBRimMFLIFwCXRN2JVwYgWIiAKYpLKkgMejHEJUIZQwv8UZLeX1lb1QBXmPnxjTnNOfGyI9BidjMumYxx26N6mKuuSjQmFvGbQ0HIWlOmzJZo67kFP2RZgt3eCNJR9gGumM0mUZtYWv7uNU36pa6TB1J+BFFosFwyjAQDo+43Td8gx1DkY5wyCyBQwWmze5RT7ezRRpFzi1f0uu7obXB5ceb7PBNpcw2k7W9x3oh1OYe8WCn13EhngLJI+NQLXHNaIdtbE47p5FSQ1FXh9nclBoYRFs6TDcg+2l1LWiYN9kd9l2wtbmlkXB3csjbbZow6wwTidbIhPsC1EizZL5hwrWkAZ/pQre3I2w0TF3oiEQ6Bj0joLGjJo8NEqPTkUx6I93wQCJTATE3j9MckYjXEe4y67QX/FG7r7sjkvRNtanNXSZT+EI3OuGLgzHrDDZfkmBwEjHHFDykzTaPP+aNz87pxnQhv8s+pXJL5imTwxvx+gbaiJC3OKm/Sfg8abRdSVcsMjgIPyhPCsQVqHR3JCNDjjBF8JWMQAbV+0JtbSZLzIpV4ORJuUe7MU3vdY7ozF0+hyOJno0YNKouk29w0NvhHAUZJQf4RYpir7k2uibyBjVCC0TJMLCMDkbMJLMuc7QMb8txFkXNFMRVZB+iBb0W6Jq5M0qwtlXQTVDOrZtkNiS3ga6Ua39uS96bYZ2iPfJhNZRhE1zzYONHYJs//MUTX6A88cQXv6A3vH4h/6fVMn09Abf/q2evnenvbKhrqM32Xu57bgyXv5ZDLR8vmWu+8fWPz+6DJ5gCngCSsM28apt37Njx7LZtygfb6g/+7O1fPf/WkcOP7t698K6HHbfTOsBz6Atx4e37Q4BmsYhtggTSexGLQmGpWginYkm1s65ZRIzXpirmmoviDIlOjzlidRoyoyfR4xqaNm8EvewItsf6+tqDg23aVNjqNw0mYj2P9wRNRgPoTiyKrAmtAWcqNeQPhs3mjmh7rH28D/PGqS5fMBDXuU2WaMJpxolBV1+rfdAcnunr64vFopEBKR7pO3UqZg0bJefMODyAotEhpw4ePAhoqRtuC8fak3HdGGwn3U2JvmiySWobsKD26DjORWQzzaC9tS/a7grEXKYRqc1pdcVQRdCb0hkGLK2ReMpkCXq17rjXHuwYSHn9/kCs1eWdsEWCfagk6veNDptNLusgOG8iig72uaymJjLjpOl+dSgZpEQQ44GkbczdHYi6gq728fF278RwU9gewAYcf1wOzG6PtQy6xvsAkfXCqITZeDwZNqQ89qgjhBn/uTZP0GWdSoOxz+CoWLvLOg0GmfLZ+9rb+/qiVpN7bKQ70Bp1RZEnYsbZpNF3dQdd0WhfT2vAFzKD81uiQKsvOHhjxGdtdeG64+OuoQmjyd5zajIGq9S4w9VHPbdeMKq0PnuUfKmspjaow4s//bL2mqXPh17E+JpZXVNwztrabWtRiCFnyQ2RnLwib2Z25rboIOVA2ik+kN+ga8rKZsOJE40fnX3v6tmzZ98TBSuivEfL9/B6gAv56ko73jv7qWiM0qRrHyHKKALqg2lmoZEBygNmBasCHBkiOkuGSRavWddc9BHNO8sJARFThNw2s2SwWK2jChXFFKKmUiv2gdwW6xJcz5ogwFxzUZgpgQ1NA0taQygBrW2iTRqTurrtLmvSlLRELaYUOFRg0BO2xlqtvq4bF4Iui9fh9be2+j1NKa89EB4NW6MzHaaktd3iSYUc0WgcIqjfakoZTP5YLGj1+pxOS9AecTiGgv6hri6TNdZjNY22eKwuq9fRnQj6vSnMdwvnnFQ4FkuYQvDEm77QEQCTMxPT9Q85uoesruQNA7YCuHzSEmuNmlKSZyhqj/gcM0F/R9wcH2qNTLX5rNEI/JgC9uRUkyHSPh61zzgGnI5g0JLsdthd9kGDwRTzD6ZCXn8w0j0YscN5HQ475BOkG3W4glZHd4c9EBgcNVwAq7VHOiL+mL3b0OQMRqPWiGPI3meHnjvSEcSRvg5r0B5ugiiK1qeNYX/M2mEKO8NeK3AzptOeIVdwqNuXxLS+R2eYtgb8Q8kkOpIYaLN5oz2umQ5HxB+0DJj1PmDR0d0xFMSRbrMT8AEZSzA4OBK2TsbskWTE74p222yOYGss6aT3oLWjI2nx+01tYz5/X7vdGjGN6oY199Y1T56+uW8t8qEXxw89z16TVjetEdckJTNDgRa8y+QoQ5FyWzLTlGkT7UVRqCeFB6UCebNhX2dn44k9Z0A6T4iCt8YTjfiHBb09sIVoRK4d1Lg9chPPUKOIaSrdULold06hiQsw+r69OXDy8RIgcT70RR/RvLOcEBAUU2aFRSaBmZoFvcxyTdY1y2n0l9cW5ppL4CSCaOoMuq5uV9Qadg+P6QyQC4PdITfMN4MzU6MT/mh33OYNjjuMZs8QBMW4bToSHfd7UkavP+DsSgbbkxOp+KA/4mkLJaOxsM8SsA/a4Mnt74sN+eLGgYjL1eEZsZkSriCIpNc/nhx1x5PtUceEscU047JPpyhqEqJJgmu2+hMUpHLI6ncFHGhDsi8YcdqMA94+u884FXEFfHFbHHalMZOxyRtsH/I0YVY+EPQZ4xH4Bpkh8lniEX90aMI8p4vEeoIOZ1dq0NpuNYVGupKBWMJoNo37u1NOf9TvHE15ksGOG24yj4FjUtg6bu0eNdog3c6E4ZXTGvM6uya8LtdQyhh2xVxJjzHuwJsNKmfM6mtJdTmCseQNiJpQhsfANVuj/hk4orv6okNdZsntcEUtHmMqHnEFkwZbd3swEg51DXREg8mukLcd1D1kGyAz2BZNh93usI2Mxi0uv09qcfT5k1NGo88SdYw6rZPRoYFQvCMI1dbgmekLxkdGPJY+a3fIFvdZxyMTc4OBcVeHCSYDFHd/SXtNOR966e01ZV1TFqqIkxCjWGxJnEOUBeQErFImmYqYmdnE3rWQNbeJmX9hmSkaVuCQlN+X/D7JPSzojcLABIfKLjZt2//sth37d2zfv21/7aZt9Nq2DXPCVMTbg1rQ1Z8Vrdm2qbZ5/360D/+asac5w5ZFJ9DFQgzkIVzJcsH5AmTZ4oL90Jd4QvPuckJATKALAVL23Sla24hrypXl1jCFnr9RtGtxRaVEgLnmEujirzN4d7ubHIG+oMnmHkP0nm6QnbhxFCwp6Boc8Nhd3SFjhz3mm3Wb7P5ICoaIzkTUb2rpSgSDYVCpPq8zZDbDZUcKgVZGoP0NwtASbC0KQjqnMwXbwesMbSG4dmMmvNsa7TabwxaX3TMCVyFTNOYIkRM6HJKMzljPOE1jt/b0BSwdLe45T6LVMm00m9tMYMIDF/wBS9zsNk91RPsGQ3FXzBJOGZvgfN7nDeHIhGcO9pr2joAr4UFiI0PSFU0a3OaWoajfMWIwpDzeqBXT7DF/d4spgLaNNhm7PC3wYqLvc3o0Emh3jMwh/1hHzJ8cuQCCajPPzaGhllGbD7LmhHvOPBEMWEIt3qDLFx9NGW1DMYsJPvRwjN/c5AlO9sQwnR3ta40mBoxtXUNRa/cIQliYEjGrbdASg+4rzbnjdpffGeoAx7RJs+aQpS8yITm7TV1zWjdMVGMd0sRQq8XTpJs1eiBhwg/dEjbPwRq1x+JxT0Va/QZp1GEHZOhYyjse7GjDfLoVPkZzZAlx7/iaa2ivKSgjMRMqiy0VkqF8lmMri9pr0s5tzc+uRWmGUaLgVTLXvauZmb5k3uWW05Z8qNIT+eMa8GNUtpdKbZVMKrft346Xsl6Ob9X5jRJN34s+kKxcgfaaSzz0eDcjsDoEBPUD1QQJLIWuKTcKF1FaJ8+qr66pfNYDQoC55qLA6ymXDmIPGeGE4ncY4c8taUaTrVELxMXBpL895hiYANfsanL4Yz63odtldxg0Y1LIFwiGjTaLK2Cymex9QevQoHPa1maIe12tsDtMDIzNud2YXLeOYEreF425Ig742XijMavTAKY0aHYPuqDvIftrh3d83BunuD/wnzGa2lsDdsuMP9ra53fE4cFjsk/6kUjI1z0UiwWc3VF/0oiQEKNhaK3TA9Fxmprv7ra4ehJxD8U8MvuCIHvj0UEbom+mSAXVzxqMib52zI13O7yW8WC460Kff9A4MQTuOuQYDE+lRPhPaIIhTHI7DcMIqeSDlDnqgzgK3+/hqUjUOjpqcgWGbIiP2WUN2CdCluh4AuKro8PfGuzG/D8id441Oe3jsC+Ab1ECFSXibdNWbHfjoCH7uH8qaY9GbAi1NDaK+XATdEpX2Kyak8xD4xaTNDrhDIcvDCKkfqzDfAFhjjAQOikVwnUtMe+UNOu2ecGkpbi3z4+AUxFXq7XDN4jZ/lZX0tztao+Y5yhaKaKIZp5RhYOd9UOvZHtNcgwpfWkmclhdTzGOsEAQ+Txlk9hkRtnLvGcYpkIuM9xUYZ6bNm3atleOAbppm+Cctc3NzftQmmUWV37LTWigKDJFVgKXgn9uEs7/hRgozHoFbwvOV/ACzCWJr8l+6IUPAt66XwQwBSZSzoEOYoWYZ7EKSZjEYZV3NFTULDbvt9V8/loiwFxzUbRVEhxKNLq26RlXe0fXM3pNk0FjS/a0uoJ2uz0Y7Yt2T0CI67aZwTUHDeZkzO5D7Eyd0RkMeJpGrNGAyZjqgI9LLJhweEaappLRycnJ1qGpuTH9ThDCGcOYztxNXkZ+u90PzxtwzQ5/X7d7rgM+PriE34+J9khcr5IQCFNvhHw45PNM+xLw4zGl5tzGQf9kzA8zSjj5gGt2jNu73WNabdOUlWxIo2gm2glmiitOD/V5p1LdwZ7Jnh44Ds3q3SOJqN00LBnaEsjlgwvBUwjON3HfuN/XlnJayavIPuSzIQ4oHPHVujhE06k5dXpuOAxhdLTbH40Ma6WxuDdqH0V//d7RWYNuFNPcYN99PS4/2h6EixS4N5IPaTXkGzQEf6mUMXTBHu0zYZq+Z9yFTiPZX8w+4PW7kqk5YD0Cs1HTBLjmtHtYJw2TbYC7rcsXsaK+WGt7Rwpc3IcA+27t8PAc3IRiydCc1tCVjA053TcQ8yhl6LK097QDkqALFgcON/yKOp5RgwdjJn/RMd68WfFDP3n6ozXJG1QMP3QiH0JaVPRF6JqlJ5q4ArhmdW19vaztIaYmLl+gvcqcMrNPYZhZDprZzpyyaROpmeBrIJ2KvNkMy02UhvJjmUqLZCoMuim2QSOJbqL9VYeEKatg20QuFZq4wnf5zNz5tCai5Zcmb9BS34glvii8mxG4NwIUjQiT51SIc8rksHhLUXHhApVzqSgEmGsuOlwqBI9EKhxwRNfMlEGrGdNqZke9kzFrIhKJDCUSSU88Dg3RJhiQuQ1cEzqeanjE5Ap6mowWV9Dpdod8HQl/NEaORKFkrMcObuhFdsdzpmAwYk7PtnXH+lyJCBQ/iyUyKFirz+DuaI0FEglcZSjh9XXJAc2HzU7EPJpImVNxGHViflwyd/t7AkNDOGooGUlOOaCFmtXqjW0TfteFAV+0NWiJeNHKociFOOaXIxMGn7+13QI7SacGaYMSMEBVj7WFrH3tfnQHtcx0TNtMfbDXnGsa6I7Y4fyNIE+w10zD4NKG6fcJqLyqOVMwkLAhUqcXPkOaKUy8h1rCLn/HaHpO1wV3II8TTk9WNAoS5kzSQ7amCDaE/JqQILWI8OsehQ9PR9zpb3WheXDsGUp0j3bACwkBinSaVIc/6htI+v1xymokeWMWX5sPArHfMgTtM4Y5cfizpxCsFJHdpZTT0uqNazdItiT0T7cNsdzNErhmq50uj553OA3gmkmKjY+IR0hfuWjJ+qHfPFq9vbm5NkMa5B/6+1xmyKCYNi9R3iBMa68V15QFzS3b6AVl8z51zSoyycxxTaKwUDZJ1yQyXZ6FGikXTP/j5hBcc3vV9ioSNmWWneHaK791FpyvEFYBBPuhL/rl5Z3lhEAhD8wokcUgm3LNILBUFH0T+1jXLKfhX1ZbmGsuChOSPCIaeAv4D5jiTg3SAmkwhz7pSvrgUG3y+cgRCNzI1tThb79gSDlAuWbTGnUXXLYHzCOWYMBpGA3F405Hwh8LRGzwDepzOBIuu2lECzvNYMSo0xgGo+12X9jkDPsc3ch2Kc/Gd8QgkZpMHkStRMRJHXJWImO6HF9zduOYYWCoLzA0ZXb77PChCTudJhMaYxvETHbqnF6dMgWjpukwDBUdnnCYPpq2TSVahyYkzKHbPZilTqYw/52IWsJzGthEYg7f4/FQA0w2Ya85YrbZQhO+SCI4DttSqJLgi5Asg04JwZfcCFRPXBMZiLT69MCQywrXeuKaYzqdzRq0ejzIQulFqyDAJk2hWcylaHXENfuSoY3YGDZfsPd4pz3WVnsSc+PT4UGHKdVtjXnNSD2ko6j4vgmHH7rmHNIUReB4P5qIuiwdPpMn4Yp2gHjGki0Qjw0jEzduhGfGk3FJpbMl4ZXvtjnG/W4phHBNEcT7dDp9HaYQdM2oF9mV0mmRo33RUVZ0zXcqSNfM+gRlqOy25gwDKum7mEPP44D3p2vWVMkzzxlOBnlwEyqHaJgJEpn5pHzehQ8WNTTTdHBNRM/fdKgqwzBz2q5CFVegbVI/88+X+y1zzRLE11z068A7GYGiICCI4EL2ucptki/z68tu0AdcKgkB5pqLjhalWxwb8SG+kMmM2XT450hjIx09dpPNPGtIhZym0VGn3wU1EqEnTe7UoN8VQSxK/TR8g6bNxhmwsxGTz2medTfhML9zyuFyeWzgYkMDbrfJHxyyGTQ7TVHXkNlshNeNqXs6JRRSCJbBaMIwO4edvkFEjE+ZEdxhjPIGOWx61ZzbgAhCoLhu50wrzBxnd7pHw6aw0RRwzaDGDTZHtN0Xmgi0D03Nko7o6Z4wUiz3OLimyzvnGWq1hkfN5iEXtECt1ATfIN+wZm62Le7wGc1hzFrbQoNO26xkHumOuYaaRNL0DSOJQNSH1EiSGQk4hxAOkz5R6z0W+CPZwgF/clRjmLNZA9aBiUTAbxoxzA5v9CRNXQiFj0mVsRTyBnWE9EhoPpzq9rcm46C4mMI3m4dTE44LNBmeaJHSYIqWQCAc6nbFwmYkujQnxodME8G+oQlYuJqTLpBkZ2I80oXMRqlwosN3wYJESmbdXFeyz3LB3UVc0xzyBmI+Mw53T8G9X6LJfilNxhBIoL74c2kNdE2wBdmnhvIGNcpkjThFvo6Vvy5zDOWAPMoiaiF+KXPM7KZc41osMxfPNCHb0oK+5PdM7qc4LtMT+WOZVCkfZOpBHzZRZPrMoWX3TiDLjc1rf6b11NpM3zP7VvK+4Hyl82JcS6BrZn0sFn348U5G4L4QELIjkcIivWQLzbvI6n21kU9ecwSYay4BeVpqMtljsUh4tAV5EUco8+IFyGxhm9noGbLOTIyEaA4damRfssXgtEThPd42OugfRyx3YyLoctqSCQv811PhoMvunEY+9JDZNhSIJkMGxD9PpOaGD0xAMPRNGA3xpNXqNJoRjj054nZaYkFnS1vbdIdlJmxE3nOV5IauiUBItg2Y1acMRH32C3A2gklii7kN0c4tPnKMD3bHU1PIOB7zheCiE3XADd3WYfH7UjbMoYNr2l3JZ4wXggFrOOWGIhnWjI3Ngdci+JA5ZYrYvTZzGPaaNmfC4sVkfQie3EnzGBJVSmnES4JNpNlM/jgwC6U5dKQwV3kSAYutywR7Tdsskqkj9uWAzeePDSGI/UjYEuwe1esxfZ3WtE3ZIVF2tYwiH5I/2tc9mnLA7HOgJWXzWazd5nhHXzAZbzNPd7iCiYlQd7QHLvlNUx0BeF+BpVrCBvOIByE9k9RluyOUavNEYP8ZTrQmQ26VDg2lOXRHLIAAAfAespjakAtzCGGhJPQuOUuZ66FRL2Gxuaa6JvIGnZGJInESKostcwzrLqaSYziCmOSffdexJd8htzN3mUxrMu/yJ7RVcKT88V2kTHQoV1mZrsk9KWhrwa5M33M7l79GXc4/X4ZA5pqsay7xjObdjAAjUDEIMNdcdKiQDEsLW8DWGMU6R9bFbsegyTg1E4hGBp0XEFrSOmHsonw4TSZLq3UQ8SUDrogvPJhwtbrCqRTFPLLB18XSPeVMuoKR+IQ34G+ZpdiUVh/S3AQSBkwpj8Cl29oR9sAfxu5pMuBDu2807gi6hrpN4aQ/aDWN6DEFbDAMtzmj4LVplXrDWGrCCgI8MgqfcPtg2ORAjWGzkWK5d1xIWqOtse4uIyinBZPzoHZBn3nUSxEoEWszqZW6vK6+jriBuOYYREfEfA8kfE7E9wx4R5vCcHG3eRLBgNc04LBALjTDPAaSpRtBL/1Z3UEKAAAgAElEQVTesBPhQaPeCYR3CnoROCkNj3XEPDL5/ZEulfqczYLg66lQIuaPOJ1wgI/6jIh5hKxDY+a4fTyA8OzdjiFIsvawWfIkkNHoQhgxnqzdCEMfdPkdJifabr1ggw1Cjz85EE5ip9M2ZY1itt1jSrpaWyNuo88VsDpMYUSR98YRyckb0urRI9ivSrbuaDTpQXhTV8AC84MEWGZoDkB2YA5dhcTuCB216Civga4JUVPomiK+5n3omoKIZKiLwktoM8PlMh+t1bvMhXJXy9HH/FZl+JNCOHPNXdBuqi1XV7muyX0uaGrBrhwG2d3LXsmhJk5RICiVrsnzj4s+D3gnI8AIlAwB5pqLQosEldoub+vkZE8rCnIwItxR3N0SiVJKxxjktrYUZsR9oRRcb1rpPemPRuFZjYhBnlQq4veH4Q8UaI8GA9G+mWnohEH/lBlKKcQ7Z7c1ONSmw6Q0ubsgI2O03dptdJsHEnBzd8RT8JaJxbDXMpjCRLdOrdGoR33RAEIduTEdrJUQWtJuMiJLI+XE7IN1Z8pgRphKOCG5gggO5DPOjgwGqDHRGHJPGqaRo3IKLDcYSUmGrkTM7kB0oZmwAdKkETEy+1wBhGP3DsxS3iCHMeWxRKkX0SCUQS1ck3RareQBdxT7hiYQ+AhcE77d6mkwVpvR4/cnWzaqzR570BKfMyACfTSALgciA026MTHpAXvNnh6BYF97ANGX5nQQSHEJXCPg6JqTRhxUezAQtKIjJAzHXP6Aqx0eUAZjEuzU5Ydnu6t1qAmMEnnpXWhxMm72wIYgLumQqagv4XQbL7haQY7jSIyEjJ9A3eIxj3Vjet+IJO1gmvCPXHSUFV3z5Ok9a+CHLvKhC+KZYWAZHYvYRWY9x7PuoinyIfLBWM+ccddxa7JDbmfuUpnWZN7lT2ir4Ej5Y3ln7mRxTN5mma4uMjYFuzJ9z+1c/hp1Of98GYKS6ZqLfx8W/ZLwTkaAEWAE7h8B5pqLYqhOI4R4OGGxWqxWC4rVEukenZUGOoYsFviOh43mphYf8vuYEb7dmvA0zU10w/15KOLwdtsMZpOj2+Zu8nQkLPAF9zqb5lJOh2PELc3aHA5faAquOAYNJL+x0OBQwmKZiWCuXULA9iFLJDwyG/d5ccEERR3SIjgkxZAwT3mT8RSCEKm1s8M205AD09wjJvivw4PdF0K4TduEzzs05PUORaNho9tg80VmUO/Q4EhT22jY6xxxx30Op4GCzScdzjaTw9Ql6bTD7pFwcgYtSHgHUrOGULJ7wCCl4BhkmYFjfNwAFx0N0rFLwylnRyIxkxjqHjDPmeMmhxP8TT1iSvqQPr27O9ym1rtt3Y4LI5pZoxOWA2i8YzoFYqxGSvRhabSb2mm1WoeSDo/ZPTdrsJk6EjPoISwuEUmzy+RFE4a8ptDcrDnuSya9wDhiMgKSKR9hmkTMzKTJbGhDt+CiP5OcapsbNUWcKR1sMwe8JptksDkSVoAyMuFAd6wJR9io3TnlcHgMOjgHadNwp190lLO6ZunyBoEt5HTNM4I7IFpQhmwRFylclzmGsrOQqsgHyqcsOK/wwLXYktuZu1KmF5l3+RPaEiVzYKYPCzpIx2QOKd930ZPCphbsyvQ9u3MFK9TrvPMVEFjXXPR7yzsZAUag4hBgrrnEkCE9pRtRIUeMqbbUyOjISApGimOz7pG4x9Y2OzzbZt4IpiPtHDbYuuCkMyyZU7ZQF7Q4o2Fuzmg0z81KhpRtyjk1Ir02NjyGqubmdMPnDKnULM4zjA0jHNnwnNkWnxgAixzeOAeHIPPIqHlueA7nxaficfPYsEYLRY6C487ZjBvVCAwEp/S0oS2VajMbngFni0+ERgxm82xqID7aljLCYNPlmk61uec2puKegVDb3E64Hg1v1Eo73U3uuWE3ruFOmTeajWYJFSOAuts8YpvyxI1zYzrJQDxQM5fqmpqaio/MjW2k1I56+EilNwy32SbiIaPhGf2c2T1mcI9pwHoNTead/z973+PQZLX/zw8H29AB2uZam0SEoDBBBIq4H2HiTURAEUsUtCyNAPPWLZRCvGpAXAPxxg2QpfkjzVKpda1Y9/atqP6v7+t9zvNr/HJjP9jgnMHznOc85zk/3s+257XXef/w2p1barxDRo8bw3C5bYlTNaVVVTeHXYkbaOBGh8sTn2iHs6bR0tI8p2vcvs7l0ru99ry27qrbbcOOKVicD9mHb3ffHNiGqduasDo/tWWgo2qbfcrlGkp0lSKN5rlOuVz2Gvs6Z2lbW+mw0+3GjXB6dYTXvXbHFI5defdG7afcXuf4+O3u0i1TQ/Hwt+S0k/hscPNk0c15lxV9zYkI8JrPPhuMf00GRGTswoAJR3ESlpPPRGzPwZDanTwaec/P0JFPTXm4bAbaq+UTaln05fhMfIbuUyTPXS30P0ez1V7PZx82XnPOj4MoFBLwVwJTU/7WFPWEBLgEBNac551gsZtgDW53eR0uux1QxwUXkU5oL9rHcWTxOrw2t9FrsbgcLhe5C8eK+Pj4FpcbJ4ywAfcO6YYIVG4ZH7fAx6Pb7YR1NSyzccpicgOHWgiJGafQ9pYtTriidAN1ARw5wGTSZU67HcEZESSS/A4heJDdroO7T6Mett1eFyIEeb1Y2wbkRN9eb9PtngdjpU4EuCypqN/m9bqH4h04AnQEmLTobA6XDdAXtCjAWZPLEY8xmhxYHrdYmlwIcznutMBeHPbeJrfFpAcQHAeupmVy0JJGELwOUzym7QQWheMnk9sGh+pkcGPxYn3aM+Wd0umobQzDaDGhYg1GBeLTaIP1IJzBoxGIkEkJfthRgtIpB/q1O8edLogmHoAV0wWHChdJbofdAYoX8T4dXjiS945vQUxN+Dd1ONzeqUS6ChM2uuwWdOaAl3vU9+ps7ibC7/AHCnm6nDUYO7o1oluX3WGDFTr5ZZsrAWs+6Tm48yn4PIp2/5oK7SVBHcIlPOs/ngllTY6F1Bbl0ch7fkbGTxLglAfNQJV6rRZjaUujLc/nLAlenqBUSIfy3JV6AWRmXC9NPVy85jw6JXN9RkTZSpJAzpT7cdPN2fHDj4+eQHr0409zf60+rgX5vMCrsiRWxl5gzTnvMzCeBdbLJscQEKUJxCQMwm0mp8M4NNTkbrJYTACAJg/4PYc3Ph5wykR40AWYB7IQvo9sblikYJF8aMjhgJ9Jj8eGEI8oxnquDfgt2WiHe3EPsBrqAJICVtkApyzAbW7AViPaAcwzAu4xXKezAOVhJZi5u7QZp2zxQGV0firR5p7y6EwDY2X15bUdMFpCWPYpBIcEdwjASf15MQtgQzQHeEkr4vABZLRA7RMTwCyMXvTvpjHp3SY3gkomJ7uBDIfgMhMXAmhioi4HEOEQwCj6tCE+BGJ3Ym/D0NGTDccYnws5D5b8TaapxMQhdAchEHOKahY0P9U0ZENpE+AjWFq9B1JsclugM0qVjEa0PhSfjKqmeIhhKn6qCXkWCt7pGJoyeY1uixHnTQ5XE+aus7kQk0hvgvNRGOmTWij6IEljwMYmDBQ3CDfLg2LCmhjgfF+JEeY1XxB26BxWzgJlHGkFAM2WpKoEABmqlAbgUxQMZqb2tNfz9gWvOee3sygMVgK//OfR9z8m5vg0Y/vpj+8Zhvzjl3ifE74HP3xHlXj6fsGa/Lq5ukqekvHqH78M5fi2L46WqwQE1pzzzupIN5KwJhANIIzNRFwZ8XS0NMyS0W4HHUgpmUhJmDrHA/+AofQ4HMB0OtiPU+QcFNJl5BTdA+1H0mJEspmwqAs1RzB2rEUdwBshM0oeo0enm7I7QWra0Am6J2ToQSAjAokE1dCj3UVVcYUOGNRoL+3pO7mXrIN6q5xOeL9MBv7D9agMzJWMIYEb1OWgwA57I73dCZKUd4Yioh+ddmRYnqLNemiq5LAIPeI6lwPsLaFEGyzhMUUASMogqBC2AMM6wsnYEHa1Ubc2ELBArzaaNc6bCItiFh7QsvgDKQrAC+jtjkcZDZAqeQh7e/Q58cStsgTbcT18vOtgHgUJ4LwJ1DBGAVspjJGNW48iyoIB1ulBdtKoUAO4H+CeBEtA04bMnPeYxajcXEC8ZiTiob/07AtCX5OjTAaqVJimxVja0mjLS/hSngMNT0n8wKdIOedPZsb1dIhXuHhNYYc+zzfCCin+luHFKe1sE3kZx5A/+pzyrSbjTLb/7hftybnyc3SVPKXt63vXXJeJsuUnAYE157ynemArgB4doicCHtoAmEyAUgRjSGcSyAb4DSDJQ8gKkAqUI3F5OsKaAF2EduB1HFFzgINouRyaj/AO7zSBw8OlWNalBgDEUAfcJpkAASIRjgMSBCTVrwZHSHQoKgB5EsZkXKIRkM9mIcAFtUcMhchDMIAWO6x3YLuDqJa3x2lpmdAbmExUploYIMAclqgtDmBmGoidEBiGScmC6jYs7NOqN+hSGNPgGoKZHgfa8QAkYl4gRV3wH4SB00R14BSB9yAP+GRiU4bxDfAnVusBnik5EHYScqC2aDroS2ekYQH3kcNLjBtjx/BsJC4aDCFmSNWI4RlRgYTIJELN4JiqYxJGYGTaA3jaMGCAYPwCwDyNaEsHvIpuCV6S8NAxgU0kYpXnvMeaeOgTWempRZmIUanFEdLznj/1A98CJ0huz5lXTfhyF/qakCJPJFtNmnGoORNNWfUNoYzKpygYzEwtaq/nPYSN15zv19c8HxRRvJwk8AujL594YipHnZXrkX8Y8idW7T8//PTDnwyv/hivtjFHbq6ukn/xs6852hNFMSwBgTXnvHkEUhjBBk4RCAc2LgRmgMYAbrAwC8hEcBGQzgP0Q5gKWwKkjE0jqEQKlkBr0Ip0ugAinRZwkeNQHgTw0QE+4mIAJGBXdh14PqIrAdWcDgAzAkjQdATkI8AFXAeiEQvutPgNr5g0FgYbodvJMCHWxV1bSqu2b68acFqG0DysxME2YkWaQUojYT6Cbh6XC+gOyUIEIOAnQr7bMBuAQKAzLOEjyA7oW0wXnaEClDAJW9I8AQLBsGKQHgKDwJq0+M2wJuApcB2OiFAEYwpfURi1y2kC4gMCpCV3SsCXkBpGT1WhdEozNzJiFDVIpRIwHX0SMKcjWo+n9lgCimWnCaoStKUxYB0f1kxgPWk2ALekFmoyumoAylnCxR4T5z+JVJ7zHmt4zfDraxoobpDgNWUsz5CVD1ALHMxH/AqO/3yG7lPEJ6cUBZThaJtv1R4ErznPJ1cUL1YC8Yl/yqhSS17+wQqxsC7hwO/nbj+eTj/6JTkxMXHHFIOsC7CS83SVzAbw6Mdvv/2TdzZPX3OPQJTGrAQE1pzz1jGQA0wE1AVQBGAE2GSDaTohKsJLQDhYmQVuA/gB9wlQBtRD5xibBkAJro0gHsAmMGIy1oppURrWOIQvCYECOIHn5AgN6ArKkzAvAruHNXhwcwTNjIQHcZkd1tTUONCXDRiNQC7Qlwd0JtoArCRw5m6CYfY4rGhgC06FALMAaJgE1sqxnk+an3RAJCGjLglAeuh6gmg6sJHogNAtlv9RzvlK0J10EdMhAEMLshJY20MsrT4Zo0U/NBiQoACgbPUaUBGcJ0qJWQSSpiyWy2nEhJ8BGDEMhphJ2RUiA5tJPZgAc3GaxkgAFJdB4kjEgGKL+fBpM5t41itjkjFcgsIkeYgZq+yIIwqhoDKEyCSFixlbqnsMr3lmTyTs0Jl/Te7/SGGwCI7IbBbP++IvKlOSygQySKK9TqkTsQwfp9qdPBp5z8/QkU9NfnoWKGMTUhuL0hyfic9YfYrkuauF/udoytrruQjCxmvO+aUnCleABH5i+I6voefkKBP+8YknvvuWLYj/gizSD8opbeYXOvUTK4lPZAdz12M15ukqGR18/1N8cnxiYvIP1J7UoLYfkV+GEhBYc86bCpBDCpXAYkBTBHVsOPY4YDrDE7OiYYCIlBuJp+NKgawibQhxAfIALtGVdBoYCnATsIcWkhlhifVpfhWpTJK1EWuGYBIhQZBxOkKSQGssMb6TZwlwAf6SQqPsOTI+3u0dcnvRBHQ1CSVSt+iLgCmhNT4GYDAaA8aCY4YlCTgTG8vPk20Qg3YMNLOpAktiNFQXqBQYG+vXvAc6S8OBgEgFgI5Yi9jT8HgeF5HwMAw6D2wJodCsGKVJfaMYwNOIUXPgyRA7KlF1Jgj0QGvgbOKgU1FOs5JbpHtDwoNswXCSAgJkiu7ZP+2kcbDLZm0UO/RI6GsKXpOBKQ6/GLJSkRhHWupxdOY4/vMZuk/RLAitnH18hmasuV4SQLh4TelrZ9YHQhQscwkkMsseoEqCeFPq+nfin9/9sUM6TGR85Y9zSSKesOF30pnEREKs82LN+bpKjv/zu5/ieV+Jid/SQP6Yqy9RttwkILDmcrujYj5+S0CyQ98Jn0fh19ck2yARD11CXRxaKRBsxqFSHl0ZCQBK/CMbm0+RlpdUT/iXo9a01/OZC17T78+yqOiPBOIJR/44xSnJKQ2vOfVLooI8GRB9QjnUtkvQUMaayTmEE39Sr9NWTE6etytagE+U6yZSG9/P2ZdcReyXiQQE1lwmN1JMI3AJAGtyO/SJCPjXJF6TGxarDBbhEJnN4nmOMaRCX5jCK0rVfK/zrRiJIz5OtSd5FvKen6EjluSK8hxmTJDqyFWid89m4jtUnyJ57kphABmateZ6SQjh4jWFHXrgXxbL4gpwlqRtGc95zRxlTvFaxMhQ4hNTykk1w3jNJ3awghwOWOf1ejRfV7hYhZbxibRi/0jtQeSWrwQE1ly+91bM7DESUPxrRobXhB26iIfO8ReHVgoWm3GolEdXRgKAMn6mwfkUcVytFgWS442pTVIuKSlsvCbpqIi0AiXw0w/xtH49E2v6SoJpbM7pzYhd9wNnJRMfESXpe6X2yK+u4qmv7xWaU3u9yC8zCQisucxuqJiO/xKIAK8JtCDioauYTM4BR2mRGOEq7XF05mmULKnDk0vY6PkclKKAMtSk5nqpB8Fr+v9hFjX9kQCnFGfxmj6XMvw3J6+ZnEz48hGDhlPzI1Lemj9d8QYf4zjJZ3DiIGYlILBmzN46MfBgJRBRXlP412RgiiMwDq0UNDbjUCmProwEABkqlEbmUxRDvGawnxxxfWxLQOI11cVsn+kw4yCfEuWA+df8lphRQp1P/KBde1cq+WQW7mqKWvlW8Jo+IlumBwJrLtMbK6b1eAlEgNcEqSnxmiJukELdMVCmwrRgMJq2lXDnFeSrduRTpOEllXJ/M9Sk5nqph3DxmsIO/fFfDsu5xmN4TcJ/cy+OJ+5gOPSXHTzyzw/zgFWN7B7TFSNH51IN1TQhsstDAgJrLo/7KGaxCAlIvOZOxKgMvx264DUZmOLgi0MrBYjNOFTKoysjAUDBay7ioyYuiSoJSGRjzpyD4tzl3Fwjh46PHhEcffSL5LpozlbkwgW7+pPa+VY1S5cvEvtlKAGBNZfhTRVT8k8CCq8ZvrhBsr4mixuUzXgqg8pgcYyl3SroSgU2co7TXryyhgWTT0d2z8ep9qlycnyA/AyVsiRXlOeAQrmI1/c91p6Lnjyfis/QfYr4HJSigDJcCrIsZOGEi9cUduj+fUEs11o5HADOMz2uiDk3ZSl5xCSI+Ofj18/RwfxdJU79wEjSH/1qZ56xiuLYkYDAmrFzr8RIQywBRV8zQnGDhH9NCXoyLKXBYgrG0pRFX1ZFvcrYfIr45NSiQHLUovZ63gPHmu98/dK+rIQE9htF6VmGo9gbitauXftiaqp0LtWc+9bpjw52Fmx+csOGmZ8Yvc61vaRbrKHPlMsKO16IbGTnfpxPIJzYhJNOxSHnL99+K1mmz3nNXF1Nff/do0csdtET383rDH7O1kRh7EpAYM3YvXdi5EFKAFjzSc/BnU/Bl3tCelGRYZX0uFcf6EHkuN92VV8T/jUFrynTl5CrFomRmLXH0ZlX3gzq8HyK+ByUooAy1KTmeqkHwWsG+QkXl88pgQWVKIls/G5Oj0fUFlfUhFWQzHsyq/V5qyfP1VUiW6UnbvSJHxGsUqSVIQGBNVfGfRaznEMCkeY1hX9NwWvOg6kJmEaQ15zjwyCKVpAEJLJxLpzHQpTPZxm+g62vM5SogETCpr/syJlPenN1xcpYK4C1ftiyz9e2KI8lCQisGUt3S4w1pBIA1uRxg0Q8dJWq8y/HSTu1rsrJURk/4ntWU66onvDBXFRHrhK9ezYT36H6FKkyUIr9zqhSY5dIQggXrynW0EP6PRJzjUlKlDmzB85pyHmcq+dwK/Q/OC0pc5mPCGvO0RRvfK6u4nf88Oe33/75I1PXhMm7sEOffSOWYYnAmsvwpoop+ScBidfcuWciS9ih+w2LNGBIvUbl5KiMH/E9h01STfWEnGMnONKS6kTtTgKAyuwwUJ8iVQZqsb85mrT2ei6EsOlr+vf5ELWWqwTmUqJkc50i5PjdfIEnGav5Q2Ii4z7ldXbSu1xATnN1FU8h0ZGmKL46xQ3KWaABcWqZSEBgzWVyI8U0ApeAwmtGQl9T+NdkYIqDLx+YpsVY/mKzpajH8Z/P0H2KOPRUigLK0Hw010vTCxevKezQA/+yWE5XzKVESfOLRxBzpJ/mnms84zOhqJm440+qxsEmYckFAprP0xUiZcaju8RfmIXQt3N3KEqXlQQE1lxWt1NMJhAJRFRfE7ZBwg6dw0oNqOKAjCOtgMDZElRW8a3SuU9RMJiZWtRez3sIG68p4qEH8j2x/OpKZONMfc0cibicZ8IERL8nZ5jxiaziI1pGJ2ryz7mdcbJm5ulK7oKdfjRzIPJZsV9GEhBYcxndTDGVwCQArMnt0COhryl4TYW6Y6BKhWlajKUtjbb83AiTl9JYZ0Fo5YLHZ2ZcL01d8JqBfaBFbf8kMJcSJa6M/wO4cb6IkTmJLJ6kbBIkg03GhM5DhNJg5ulKHqfEpMq6n3Kx2C9DCQisuQxvqpiSfxKQeM2d8Hkk9DUfj4e0NTgYUktUvEhl/IjvfWqqJ+Qca4IjLbW16MxJAFCZHZuoXMgOaNxyQWB7fqV6PeWSksLGa/r3+RC1lqsEJLIxx3d+bGX8j/lcq+ewJXQFFTKw+d0vVPhovkuo+bm7UjqOZyqbMoJVikVm+UlAYM3ld0/FjPyUALAmt0OfCLt/TRY3qI5hBxE3iOFMLRYjXKU9js48jZIldXhyCRs9n4NSFFCGmtRcL/UQLl5T2KH7+Q2xTKvNqUSZyFDfH/NNOZ5bBKmr5YwEfYL0Lb9dYAl8zq40ffBeFyBGNXVFNqYlILBmTN8+MfhgJCDxmmciwmu+9Oyb2Ulw7W4wEKagNNd2DhjD6irV+YW4VHu1XCVyez5OtT95NPKen6Ejn5r8NC9UL2Z1NIdRmp3j3vgUyXNXC/3P0ZS113MRcKwZhrhBwXxqxLWxL4G5lCgZ1PxxAdjIrM8VXjM5mdGgjNZUAehs0czVlbYWa+WXhVrQ1hb52JWAwJqxe+/EyIOUQAR4TaAFji9fIdsghh0Er8lAlRaHcaSlLYnGPMd/DBTKw/MpmgWhlbOPz1CDmuul9jnW/IzFqExnv1Hkjjku5e2u0saojEtCjMrrp89NIEalfr4YlcIOPchvjhi/fA4lyniGJBeCmpyhVE3G4zklCbP1BfCpn/qaAmrG+DvKn+ELrOmPlESdZSmBCPOawg5dou40oIqjJY60Ho/IlrbGHDjPp0jLS6on/MvRzLTX85mGjdcUdujL8gvN70nNVqJkypg/7lgINibSevl3U2qVHY9QANN0Ddc5ewSzuvrlJ616J+9XbXN2A6JkmUhAYM1lciPFNAKXQAR4TZ946PB5REllsAiHyMCL5znGkAp9YQqvKFXzvc63YiSO+DjVnuRZyHt+ho5YkivKc5gxQaojV4nePZuJ71B9iuS5K4UBZGjWmuslIXCsKXjNwD/a4oqFJDCL1+SuM7/X4MjZl8cnsuVuFVn+wHxjAmx+t4C65ayu4CTp0Q8yj8n7fWJBsDp7JKIkJiUgsGZM3jYx6FBIQOI1d+7JiIAdOtPXZAvqhCkozbVVkRarot1IsI1diLz2am21yOT5ONW+5NHIe36Gjnxq8tO8UL2Y1dEcRml2jnvjUyTPXS30P0dT1l7PRcCxptDXDMWHXbRBEpj6gSWGGr9l2SkK2sMoyyd+/EOT/pwFAOOnGLj87s+fdiRO/fLnI3b0iJjNJ378hTXjI+N5umIOOb/746df0MZPzJj9iR/h112kZS8BgTWX/S0WE5xPAgqvGb64QURjEmJIEvqaBLw00FOLwzjS0pZEY57jP2UOfD5SIT/wKVKq+5OZcT0d4sWxZuh5TWGHPt9XwnIv/4NBQ+3mjxxATbbQrS1FXtXMlIQSL0X50dT77idZafMJNOOb/tDU49k/CFJyc3btuYWURH2bFEexLAGBNWP57omxByUBRV9zIgK85rPCDl2m7gSvyaGkZkt4VPCaQX2axcV+SIATiT5ID1fxhW5tKfIMGfo0CbD5vU+lP04hqPlPfCndpyYdzN0VwOYfPm088ecOeUV9VhOiYDlJQGDN5XQ3xVwCkgCwJo8bFD5eU9XXFHGDGJjijB1DVhJ554Ox1LLoyyn8pDo0n6JZEFo5+/gMNam5XuohXLymsEMP6HsiwpV1HphuYYPEt5RLpk2wSfKR6YP1fkiOR0igRz5l7GC2EmYOApj/oEDI7/+ciicrHx4d/buZQuKG7T7N/sDqxCf/8q3S3Xd//qK1FJrZiDheRhIQWHMZ3UwxlcAkIHjNx4OgeWpwMKSeVDk5KuNHfO9TUz0h51gTHGmprUVnTgKAyuzYROVCdkDjlgsC2/Mr1espF8a4QcIOPbBviojW9phsyckeI/ClTWe06W02G4eawcPNeIDFxMQdtKG0Y2oH5Ydsupz4ZI3OJB2g6lxKlDiV+MsP3067H+oAACAASURBVH77w09TuJLXSEyEauZsD5m8M1RijVFtpcHE5B0/USM//DJ3LxEVt+gsQhIQWDNCghbdRJ8EgDV53KDwx0NncYOyGU8l7NAZztRiMcJV2uPozNMoWVKHJ5ew0fM5KEUBZahJzfVSD4LXjL4vjfCPiGFNUJgMW9p0HglqBktqsuvjE3PoNZRjy9Hp3NjGJ+uMRrcKAx8/PaBGnhToyBCscvT4FlCDXSLWzv2S1XKpJLDmcrmTYh4BS0DiNXfumcgKfzx02KHD5xGZexCmoDTXdg4Yw+oq1fmFuFR7tVwlcns+TrU/eTTynp+hI5+a/DQvVC9mdTSHUZqd4974FMlzVwv9z9GUtddzEXCsKezQA/5kx/QFNkKXLHmMRqNHR0fJMrkpnVnkLicH8NKWkxOPvdtooxywpsmYE4jACFXOAKcoCqgJ6g50J+1EWikSEFhzpdxpMc9ZElB4zUjoayJukOA1NdBTi8M40tKWRGOe4z8GCuXh+RTNgtDK2cdnqEHN9VL74eI1gV1Eil4JsGXzZL3NaHE4LFhFB8HJ8Sf0bIN86eOBM+NtOdiDPqVdjk1nMQrUF73vhmUzMoE1l82tFBMJVAIR1dcU/jUZmOKwi0MrBYLNOFTKoysjAUCJf2Rj8ynS8pLqCf9y1Jr2ej5zwWsG+pFeFvX1Op0OdkFGk8nj8SCnx0I6sZuM4AwWbCqMKOyObCYTiFM9/paF3MQkoloCAmtG9e0RgwunBIA1uR16+PU1hX9NQCmZumOgSovBONLSlkRjnuM/Bgrl4fkUaXhJpdzfDDWouV5qP1y8prBDD+fXSrBtA1oCWdpMFhPhTCRCncjaGO7kRSHYAs+C0TRZjIC2MEYSSUggvBIQWDO88hWtR7EEJF5z554R4V/TX1Ak1eNgSL1I5eSojB/xvU9N9YScY01wpKW2Fp05CQAqs2MTlQvZAY1bLghsz69Ur6ecsEOP4u+OMA6N05o2h8XEls+TbQCEhDV1Jg9s0kOWCGuadB6HKZlo1DDORzQtJEASEFhTvA9WrASANbkd+kRhQnpRkWGVFkbwp/3it9wOSPjXZBKUgZcMxVAoF9GekvY4OvNsmL5D9Snic1CKAspwKciykIUheM2V+N3ECMxkvcdjdJZu79je0dGRn5/fsX17Rz6yIU1VV+w6h5GW6AXWXInvtMjOWWDNyMpb9BZFEpB4zTMR4jVfEHboMpupgCoOyGYcBoTSIleZRslfSp9yAZtXMJiZWtRez3sQ+ppR9G0RuaEAZtIaebKxtLa4uPgBUvGDwcHBB8XYhC49eFDSU15qsVsE1ozcrV3JPQmsuZLv/gqfewR4TaAFFtU66RURN4iBKQWsqTBNi7G0pdGWnxth8lIaa+zwmsIOPaq/+YA1CWwmW7p7bpzsqziApG7oKDSp4kZ/ff54jZ25WIpqgYjBLQcJCKy5HO6imMOiJBBhXvPN7CSOOxUGi3CKjLR4XsVXdOyTeEUqYsBGe51PvYgc8HGqXcmjkff8DB351OSnZ4EyNiG1sSjN8Zn4jNWnSJ67Wuh/jqasvZ6LQPCai/pcx/hFZKtjg2tNnaV7sPpAcc+usbGxXXjRXyhTT19/RW3euJMpg8a4zMTwo18CAmtG/z0SIwyTBCLAa8r6mixuUB3DDiJuEANVWhzGkZa2ZMnyoKHnfiVw+Oc7VKWMxjsLQitnH5+Zcb00fY41P/v6pX1ZCeksBoAqF7XNVUVr1659MTWVlcQlpZpzr58+N9FZsFm/YcPMT45e59pe0i3s0GfKJfLHzJJcCTtJ/bN1c2x1JuRMDofJcrv3ZO/AaI3L7pSS3e60I4Vk4ywdPACsmVdjd1mCtg2Kp7cUm5K6ocCX2v9kHM/zUi/yJxf5myV6DIEEBNYMgRBFE7EpAYnX3LknIwJ26My/puA1OUTi0EqBSzMOlfLIZ/ivgbm2Ksrj/CMbm1qIQy0vqZ7wL0etaa9nrSdxrBmGuEHCFGTJv7EkP5nkpF2C/jaPB76H9MyVZrIHRueWez39Y6VO75TX63Xgf0p+NYUi5xrdVV/RMLBt3Ol0YAzBJZsRQ9eZYCRvsYCUXSi5db4vj3uh2vDzZIQo9HojvNpjR4A2uKGKq5dIAgJrLpHgRbdLLwGF1wxf3CCgBUlfE3GDBK/JqT8GqrQYjAEtbcGS5echNYnq5PCPturolDIq4ieUooAyM66XeuBYU/CaS/9VEYYREGxK1rNw5yxQEMzPCWYyL5oIGgQnRwxrjnrjcRBPx6EdRFPeWH3fWFXb6LjTFXTbNpPHsqX09pXDhwcGSg9faVvwNePklQVT2+ErA1faSg+3DQzbjQCahDdFikUJCKwZi3dNjDkkElD0NSciwmsKO3SJupsFyjjSCgichaky/TSY64Xy+SAmP4HxaHlJbW1/8jQd7fV8emHjNUPy8RGNBCMB4ucYS0d7owUu1ZHIhSY7QVgTtkG9/Q2jU8BXKAw5xjLlNdTv7e24WZpXEzzWxKJ/Xv6u4sEepN7ewZ5AXqi80F9Pz4PBQTTaUzvq4KA8GLGLa5dMAgJrLpnoRcdLLQFgTR43KHy8pqyvyeMGMYpT6GtGN6/JAN6MzTLjNQU1tNRfPax/hiqxam5jkYGMFBZI50EgH8KgNl2yHnbo/WOj0N6UAlSGdtBu8Jr9g8eqBka32ENAFZoO76rvqy8rKSkLdaqvLysrKavfO7h93GJCPE0MFpIj4YkUSxIQWDOW7pYYa0glEGFeE3bo4MwMzMZDy2Np8yoHxpktzZbTXrwy8jILpqkRwaxC5kl9yqOR97yYjnxq8tO8UDNaqhMdSfCaIf2EicbmlQCxmkwBMZmWx8FoAkexPRxeIrE1dGDNhlFvmHhNz/hYy8ni2o57peP2+HmH6ecJLPgPlPSdrC9+UFxcEvIEL6MlB0601JbaHdDahHQ42PRzbKJadEhAYM3ouA9iFEsgAWBNHjdIxENXMa5/OY4M1boqfOS4kZ+REbEEOH2gp3otw5nawyXMsx8DMxfROQBVwbA6PqWMilQZKMV+Z2ZcL/XA19CFvuYSfDeEv0sClmxhnJbLCV0Sv+nRkYGQwmv29o8Nh5HXbLlRXJ5f1ZYXPK8JH02Hi1vqa29Ds/L2QFvb4ZC92kpLR0tL26p6q+tr28btLorWycQVtD1T+G+x6EErAYE1tdIQ+RUlAYnX3LlnIis9tSgTMSo5XFCxRBA54ASOWdiOfB4J/5oKfcmhlYLEZhwq5ZHP8Jvmu4JOtxHlCmDWcLBqIXvr0HjVokBy/Er1esqJeOjL+dsI6FJSwgS7CRshIw95TmvEhKVUXhNYMyz6msa8sZbqkvLaqgFgzWDXowGbD5fUF9+0W0wmu8Nk8i7wMk2ZTPQv7Ras6jVZwPcaLY685uqW5oG8LXYHCQiJELpIsSQBgTVj6W6JsYZUAgqvGQl9TRE3SKH+ZhGZgFWBALMw1hW8Zkg/YaKxeSUAdMZXgjl0srjsJmhpAoUR1JT1NcFrhk1f04g19BvAmtvbhu1B4zZMoq2s5UEpuXCCNX0Ik9HucjgsXmdt9YHye2THhEV0wt5ggeeVrTgRjRIQWDMa74oYU0QkEFF9TcFrMkRJdN2sxWYCj9GRZF5TXUZXSjRwWBmrinrZpKhcLQokx69Ur6dcGHnNiHy8RCcLSYAvoCNGENQ2HQCa8CKJeEGwDXIBbWp5TS+AJ7AVW25fqMFAzxGvGTqs6TEN1B94UKoDEsScQpg8Ro/HZNQ5jp2oaOiAN1C7CViTNFwF1gz0ji9xfYE1l/gGiO6XTgLAmtwOPfz6mixuUDZfm1U1+zjG0m45xsB2NlBRy9hpGbDNrhiJEj5OtSd5NPKen6EjluSK/HQs8JryMrq0gA6+k8+EtvJsNACZiuS5qxX9z824XuqBDSI99PqaQS+ZLt1ndtn0TIgM/KUJbKaxpnQgzwUX6CY4Qze6LD68Ztj0NYnXPElr6NDXDJrXtBlNt+vBa8Jpkw5KpyFMcDpKnqC8HdUVu451t+U5TUDkxGuKN3GMfRYE1oyxGyaGGzoJSLzmzj0jEfGv+WYdBy4yAuNQxXc7B4yRAYuKbBgw0V4nV4ncno9T7U8ejbznZ+jIpyY/PQuUsQmpjS1hTmExmZatCjSXmb5m6D5DoqVFSkAPeAas6XDo9Y7S2p78bR69x+UCaUeEnZbXDJu+5vhYfXVxA9bQ8+zuYNejgfwOl9UPlrotFgsnZhkaDMHG43JYXBaPKb+6r6e56vY2GWtCRouUvLhsaSQgsObSyF30GgUSANbkdugThQnpRUWwDZKxUAjQjoxTmAaggfnXFLymBnpyDKogUe3hEuYVfU0t6OR59T2hjk8po6JZEFo5+/jMjOulHsLFa4I4E2mJJQDv5xZobLrgn9x+s3dv/WDtzXGXCSwe4bNI6Gu6Q8lr6m1DsA0abIMdD5QBQgAxlSZ0ZBpkMrqANQeb4Xl+i8VDvCbpui7xHRTdByYBgTUDk5eovYwkIPGaZyLFawr/mjKW59BKgWAzDpXy8GUYiuPxxvlqeQLtuIYkszqfDTolhtZnrBIm5L9R+OTUokByNFPt9XzmbGjpIYqHzp/eHtf2sm7lQS4ySyYBLJ9boHkIXtPmrCrbfau6oqdj1I74QXx9GCqJNofkX5NW20lfkyUOsygb5DexZ7yhvrqE85pB6z5CI6ANdugDmBL0T8lxk422WO5elKGQBwvlcKOEDU2dPNy7jp3YCwdN90q3OBjWBNgMcv7i8ghLQGDNCAtcdBc9EogArwm0wIIF8bhBDDuIuEEMVGmRGANa2oKw5+lOxMUZrFarIaERKWVrirXRmrSJQU5DXAKSTEzL0JPDP9qqo1PKqCjKeU09nto6k8lYVV9FD2rxWmIJMPgI3Ua93l5V8vTu3bduVDyo3WY3msAL0iK60WJHjEr41/RYoATJcCb4PItLh7A5Ogs8JAX5RQpeE1iT9DWHQ+DzSM+wZhsL727zWOCPHlvYjC+O5HQ4oTngsoMghV0+2Ua5HfnVe4sb8rsPj8PpEbNDDxpsByk/cXmAEhBYM0CBierLRwIR5TWFHToDYxydcWg2A6kphxHIAGUaEoAsaQfAaTWvb6/LtsbFEdaMkxN+JshAE6XzQUx+AmPW8pLa2v7kacra67kI2G+TkPGaoJwQAdGyvb5KZySzFPFaSgkwYpLwfzLDmk8//fTuEyfre2tvD9thDQN202PC2jp8Hll0Jh0oPhCEeo9HbwEA88CKCBWC/CIGrwn/mg3HgDWdwbaFoTCseRhjI14TbzOwjw6nw+JEqJ+AX3ZnDRhel8ui0xuNDGXrgTX7CGu2jVvcrAT3TqSYkoDAmjF1u8RgQymBCPCawCoSryn8ayrU31y8pgbJ+YPNgq3DQOb69YzHTNi0HqCz7mK2lWE7AExKLE93T4abHP5xUCh3r5RRQbTzmnhE20wuZ0dZleRXhz/FxXZJJMD89rCek8Fr7iasufvp/7vVN9iRpzc5mJGQZWBX/642ClkJPhpx0rGWjFMej7TOHuRXoQ+vGWRbuFxHvtwZ1qRJWZwOHTZ25+jweMApbzSvZnwci+UuB2kOkGqmzUu8ZjnjNRnHy34mBD9q0ULkJCCwZuRkLXqKMglIvObOPRkRsEN/9tkXhB06p+5mgTKO1BTgFoGMijWJ3yTIaTanpFApkgZrykBzOfCapPZnMwHY3MOqLAECkZZQAmz1nPdvh74msObTu/E60V/fU3t73GjTgdi73Xtj16jFBnMbhwnUJlaU7TXjJnjmtBkddqylB5UkXhNr6KN2W1AtsYt1bcUS1gQ2hOW40XGltre358Hgg8DT4OBgz67yezUWh90FDVACmwqvucWho2NKwQ9atBBBCQisGUFhi66iSwIKrxm+uEGEXAi+JL0ieE2F+lt6XtPAsCZhTGhpJiSYU+M2bUpPT7Vas3yQJrt7MtxUEbDMasrIWWE0F4+ZZ/CiUg/0zjGEyr+mHl6x9ck6e9WDm3oWCZE/sMV2aSSgYE2Pzb69jKAmkCZtTpxs6c3fVuNyObCGfmMsz8RJTQrFo3cMtx2GkyS4S3LZjUF+mbrZGno51tBHg4+HztbQWyReE9b1LptzoKH4QEtLy4FFJLqovmxXR54TS/BEbeptFlVfU/CaQd75JbpcYM0lErzodukloOhrTkSE1xTx0BnaJMw2A5TNOFRRXZhyDMMZUlPNWbmVubmpWdmp67em5OZWVqZvTZBYTfYLgf9QkJbR2aA5CFSGJWFCPi8OPdWiQHLUovZ63gPHmiGzQ8eybbLO2VHSzWLWLA3EEr36SiAZGo7gNbGAzpfRsYNN+oHB/FKXyXWv9yRiVEJfk64BwDQ6722vsut1Dgdpbwb5BarymsPO+CDbwuU+vCa0LDuKKyrKHvT07tqFv8D+QYf2DJZU9LWc3eYmMyAfXnMcSpyUhL5m8Pcssi0IrBlZeYveokgCwJo8blD4eE1AFo5aXqE1dI5xCFMQDplryzGGdMoXrPDq/MIZV/tWjMQRH6fakzwXec/P0BFLckV5DjMmOONQrh22vQE4EwlQE1gzK70wF1gzq3KyNau9nd0iRVuT7t5y4TXxxMZzW2eHvqbiQIc9tcVmSSRA/nyQjBYPYU1OapLOJuM2+1t6znaXbmdY04YFdYSwRHJv6TjW4QTJ56C46UF+k5J/Tdihk21QiHhNWV8TKhrObWMtZbvyt1fdu3fz5k36p+Tn/l5V972q/PLiluJ8eHGfW1+TblmQAhCXR1YCAmtGVt6ityiSQER5zZeeFbymDD2xl0CoCkV5LjJbQ5Y5AUvmWZWVjVnmlK3pKSnprSP7Ji1xlXVcY1P6gbDMeE0Cm8CaLR0wExZpqSXgcLgo2e0u53aur0kwkxJjOOFvs/bs4MmxbSa4+DHZXQ4HAliO5zfXbtHBM6cF1GaQ36Syf82Q6WvKtkHJFrtrtLbsQPnhIYfD7XYP/T7k3uHG35Bf+yF3k3fK7TVZOgYreobJ+RElrb4mKxC8ZpD3P+KXC6wZcZGLDqNFAsCaPG5Q+OOhC/+aEr7kXOUMIpMQZthIzDlaNlizEjYBaxZlmVMT0isLzamVz7955+/Zm1KyyOOmzEUTx7l8eE0duQ7X21wdLWfbBq6UirS0EjiM1NaG/yulA80tKsjkOSyknzhZcaCietc2Exwg2SjEuE1vGu6ozR+3kKd0jzFYWo/pa5aFTl9TtUPXmezd5NjdDpMm3RDTt2TwUKHT5aKZe6pFaqk2BxQ13eP5FWX549w0iPQ1mc8j+NcU+prR8gANbBwCawYmL1F7GUlA4jV37pnISk8tykSMyhBCHgmnsEV0bJhtEAcu8soyp/Z8tyriIvzlk1QmkLGC2ut86kXkQIGMUm/yaOQ9L6Yjn5r8NC/UjJNNSHMc7iywJi2hm82pKalQ2Rx5/p2P33z/r2+PFFVmNzYytMkVHzi9uUz0NT3MCbbOtb2kPL/2WL5IUSIB3IqePglh0o6topP+5omTfX3VTF8TdLTFOXz49s2Ohl1j22/fhkdMeEIK8ps49Pqakm1QssfizD9QNpY3haV+yQs9x5p+bm0ewpoO++2WlrFSIMs59TXRVpACEJdHVgICa0ZW3qK3KJKAwmuGX1+T85ocwcgITIZcHGnNwFscomm3MmxjeM23DW21yOQ5GlT7kuci7/kZOmJJrijPAYVyEe0paY/DnTdkZZnN+E9NT8mqGzE8/+a/3//r0aPP7avcd56BTcKYhDClHT9go5wxVKWMz0Kei1Lsd2bG9ZIAiFgNmR26B6pv4MPs93aNNYzBXEOkpZfAGNKusd76G8CWt7iqJu25nVD1gZL6kw2wQwevadkyUNtbXFxcX18/OPhg19kBZ9BQS/KvGQZ9TUfNlvyK4totFocHNvSegJPJ4bDoHOM1A/CidJuvoQv/mlH03FzkUATWXKTgxGWxL4HI62sSekHUbRldERTxzUsgQyr1gSoSbGOXIK+9zqdeRA74ONWu5NHIe36Gjnxq8tO8UL2Y1dEchj3LTdBzsxLSs0bOv/PCv/797Hsfv3/thWfO7xvJJrAJcMndubMfB8uE10SMGpsRjsBr2gYG2trarojXEkuA7gH+b165V94ikZkyvbl7d3Vf2a7a5uKTY8NemxEmXY6atqr8/Npdgz1n8zu6B8ZdQWNNldcctYfEDl3R10TAgPy+kmM1bhg0UUzzQBNFUnXA5VPbYFnJPWDNOXlNoa8Zaw9ggTVj7Y6J8YZMAsCa3A5d6GuqGNe/HIeDal0VPlKZijAlcClXVE9IGJSfUC6Q6wW8l2hIgoUJyouQ4ioElyR2MI4AJGXYMVxq5jbmtpsrz+956r0PP7x05u8bn/3re59dP3/xYjZbREczCXB/RNfQVbRVEbA6OqWMilQZKMV+Z2ZcL/XAxhsq/5r42CA6tU4fbzMFbVcSso/gSm6IVpST9UaH19VdItmfS1gTupr1vR2lznvky90EO3TU1LnsNVvaasvLB8adTpcD+DNI2YXav6ZGX9PrrO0vyXciejt5Yg84kbN6l0s/VdpbVtJt4Xboin9N+HInwVEKuGFxwVJKQGDNpZS+6HtJJSDxmjv3jAj/mn6jIl6RgyH1Io4pOWIizCXX0oBLKlJPyDlWUb6OX7WYLUNlUMBkqV1K0MmEd6NVq4qsjS+mZmenr09vzLamblplzQbWNOdOt2Z8caThm2+OfXTV6Zi89PWdp47vub6vzpBgZrhUsRFaJrwmPmr8EU3m6Ev6uROdMwlAowE3xAg/mjxGpQQ0dz9962RZ+fZR55TrXg/8a3qZuQziUxrdRrJDH/ciiJAJroCCTCqvGXL/mp7xs/3F+U63HpGqFjFOepvaPDbTNvCaN2faoUu2QUCgQc5fXB5hCQisGWGBi+6iRwLAmtwOfaIwIb2oCLZBPghoMZhHvUYmxBgvJuIGyeBU3kPU6oukph4tIseIR4T/SU1NSUkplFNqalFRUeqmuNQiaxGcaOZmVWZl1+VmoXR6utHcdeH6kTvlD2s7ruQhxrTj7P2HR86du36+zrApgWCmgROh8m1cFrxm9Hz0xEiA/GFZrtd7HEaXFKOSwCbsz/vKemoPb/G61zkY1gTYoopUdygPduhOD7yZG4P1eJScHOp46G3yGrpe7x5v3lvcAV4TaTF3mq6CwscosCb0NeknktDXXIwco+sagTWj636I0URQAhKveUbwmipE9jPH8aBamYN0KqUkQ3ba+9RUT8g5qb7PISvze8MoTQY2idRkaFMCnKkIOlkEN+3pq140pG6dHKkbKcqqq6ssSk+fbu26ePXcnW969m8/aHRZNq8usFy6v//0mbexio4leKsVC+fLkNeM4GdLdPVYCXC+Um9kcYMYzgTUPNFfMXavdMuOoUSjx8HiBnmBtDjWTDblbc/vqDECa3qCj2Au85rdoYqHLmNNgOjx5n5gTfcisSbjLIE1idck26A59TUXCWMfe1dEhXBJQGDNcElWtBv1EogArwkgxLUEKW5QtgSLJATGcZjvVkFYs8k9GbYxWEYbjuxmV4xECR+n2pM8GnnPz9ARS3JFflqagVzI66hHAeYYzORCNqSaU4jZlFJqaqb1xVXp6zelG4qyRkYKN25cu3ZybVbuxq2tF6///OE3+09/9I/Lrs5OT0FBwWTz/W8u/fwU4zUZzBS8ZtR/fmN8gHobIzZtMtaEKfqJG/VjVaUUBFxnNBqBNfvHhhVeE7qdzrZ7t+2ENU2h4DUbKG5Qbajioav6msHymgxGcl5TsUMX/jVj/N0Opjou5qcgJiAksDgJRJTXRNygOr4gKyMwGWMRGpPzKs7iIE2z5VV4ZeTlKzQ1Ipjl41Q7lEcj7/kZOvKpyU/zQvViVkdzGFiWo3kSLV5cYVPaGgyZmVhDT09/0ZqVfQFKuVuxup5emDFy9fpzRx5+2PDzF86CHKOpoMDo6bRcuvbVw9PPvfM69DUFr7m4z5O4KiAJAFLpPET92beXwA5994nqvvrB2rapU1NTQ/Fw1u623IS+5rDKa8IafcvoqMONAELQ11zU6rRmgDKviRiVIYqHLvvXDCWvedM4g9eUbYOEvqbmXsZEVmDNmLhNYpDhkEAEeE3wbYxyY/41Ba+pgZ4qqpbxqbYkgLyW1+TE8YztKkNjZWXuxo2Vha0bMy5kFGbsOfLhN1+dPj5pAaGZY7IYOxGucLL52lcf3jn0GelrAmuiCaGvGY7PnGhTkQBQpsdiS9a7EaPyFtbQq+sbup2OKYRINzJT63joa5Ivd0VfE2vJNofdA7OZUGDN8MVDJ6wZKn1N2AbNqa9JGF2RpMjEggQE1oyFuyTGGBYJSLzmzj0ZEbBDZ/HQGfD05SRlpEVknhZhzSL3ZE5QYgW1182qG/YCPlK1G3k08p6foSOfmvy0NAPt1fIJtczvnKSYIEFOid9kR9Q7PB5ZGxthF1TYmluZAQP1g8ePXPrw4Z1X/9+EE1gTK3VTNk+np3MSvOaHd37++PWL1gRDI9fXpLaQ+G7Oe6MWUl9syGpRIDm6VHs9a4o5azKkv/P1S/uyyAMTL5S2auuGorVr176YmiqdSDXnvnX6o4OdBZuf3LAhLJ8b0WhIJAC0ZIQDn2Sds7sEnGZZb37b+FST2wgoSThKrzdJduiyviaZdZssbpChNqDRYMcAXrO+uqSBraEHr/2ZrFNsg0Kpr1lMvCYlKR561eFxaBBQErxmsG+ASF8vsGakJS76ixoJKLxm+OIGMaiCjYiHzkAnR5kMNKlYSYuxtKV+5iWQyTGhDxxLS4uLSzAYGhsrswphnd6aMTJx8OCrr324v+HnK5OdRrvLpNMNDQ0l2nJyClzl197/8M57Hz9z0QpwynhNLdBEJ2rT6sCUMirik1OKAsrMuF7qgZBuyOIGRc3HTgyEJMAsfoA1YRBuYLdWYQAAIABJREFUH+jtr9+1vdQ+tW7IY6TlcSQ4QLcw2yANr2kywhcQEpjOoKEm7NChrxmWeOjB8pqEJGU7dJnXVPxrinjosfr5EVgzVu+cGHfQElD0NSciwGs+++yb2Ul8PV1hsAiOyEiL5+eAMTJm4RXlaj7XyVUit+fjVPuTZyHv+Rk68qkpz4EKNWnGoeaMH1lVXxM5qTveOmHNTVgMt5pT0lNa2zMuH9zzyZdf7X/t+MHLzssWemhPeX/3eoeG9Dmdkw+PDn54GrxmnTUJvCYwnlUiNAWvGfQHTTQwWwLgM+G6yAKsqXeMdjR0tDmn3G4ATFLitJgAORE7B7ZBDfCvqfCaRuBOvYeHGJ/dYoAlodfXrC8+DAN5MI6htEOfoa+p8JoMkAY4ZVF9KSUgsOZSSl/0vaQSANbkcYPCx2sCXHJ8+cpLz75QRzQVASKZAeMYS7tVsJWKmuScDNsYjvJtQ64SuT0fp9qfPCN5z8/QEUtyRXkOKJSLaE9JexxQnmFBzkGyhtRNWloSlqGLisyphe2VGRNvvbPztYcNZ19+q8bS2WnBo9zh8JIhxo6hoRzT5Yaj73/4rxc+e+Zio8Rr8hsnLaDjQG1XHZ5SxmfBt0phAJkZ10s9sLdLCOMGLemnTXTuKwG9x0j6msBMbudw27jLbXQDqAFq6hCjUafDLyFH9ww7dB0hU+YBHvWCZTa5f82GfNgG2YNtCzNT19AxhdDpa4p46L7vmhg+Elgzhm+eGHpwEogwr/mCsEOXoCcDlhoktniMhkYYICPAiTzHaErLBkOa1WpNTU/JHbl69YtXL33zzcOPJj54o9PyQadeZ0Gov6lTp3acciOZJhuOfvrh6Rfefv1iYxJfQ6dfCRzCsp0E/3yHrhayzqljtSiQHL9SvZ5y0tSEvmZwn/IovRrKmia9zkTo0mZqSkwcMlksRhzZTPCeyZfRHd1khw4uk+Al/mjhnfQUaWMLehVd5TVH7WHR16wZWiQipjnSGjr8axZT3CCatqSv2d0m9DWj9A392GEJrPlYEYkKy1UCwJo8blAk4qGvXF5z1arffvz+++///NUHDWqRGOEq7XFAeQYJCRSiCd+0Zs0asgtKSTdPXN1z5OHD5td2Hq75oLOgoNPtbpo65ZrynvJ6p6YANnM8lofXPv3nsz9reU0GYgWvuVw//Us9Lwlr2oweLKaT+iYFdASsxCF4TVqKthCvqbVDT0ZlOkG1g44zKsUNOhYG/5oSr0lQczGMKbuK+9ekGJUENW0z/WsusumlvukruX+BNVfy3V/hc5d4zZ17JrLSU4syEaMyCMgzEywBqRBOAQhiG/hyX7H6mv99gqVvVxGGZEnJzHnIC/3dGuAQk4TME7Qs4R8zDSxnWtqa6QRrY7u5NePq8UOfAGq+PLDFUfDkk28UvPGGe8q949SpU1OnvNgOuW0FnZeuffrhsy989vo+q8RrCn3NFf71EO7pYw0d7ot0HD5yVEaI02bTmYzY6vWwDfLR10yWsSaDX4tBcdopqbxmAP41CeKhd+aEnuX5iJHVwZd7iaqvST6PQhI3yMi7Ebym9t7FZF5gzZi8bWLQoZCAwmuGX1/TQHGDVqq+5vcy1gR85JSlklEOZ0J1/48Z1MQmsxEmPdl15vVx1uxGw6a4tMa0aTh1b52ufOuFh9/87c6r2y5/UNDpeaPgyTeahtat27GDwCZLO4Y4r7n/2RfeJjt02TZI+aHAfi6o2JcP2gcv8wOfIrW+H7kZ19MhXgw+C33NUHzWo7ANCavRDkvGtG7MFsl5sU1HvGaPNm4Q1WKVqS67KKhJMTt0FjcoAH1NFpY92eawQK2UjRlqAA4L4x4PF7cUt3FtUsk2iI92EYNkApknHrrky10W2CJaF5csjQQE1lwauYteo0ACEdXXZP41GXogwEVprq0EMqRzPiBFXSGmSj5X+9SLyAEfp9qVPBd5z8/QUVzSbxxqPvHtXTZwOqVk5Hr8On4U6Jbi/CRsijNkWg0JKa25jY2N2dnZyKfFTedWVl64fuTSw4efPPXFQXvn5oI3Ot8A1GwaSkxMBNqUoeYOGGk8PPr+P+/8/NnrF9PQniEujny5c7aU8dIaE3fNWLkYpNnIc1cL/c/RnLXXcxlwrCn8a0bBd0UEh8AgGvQx+Rq6j75mKEch85qIh+5v3CCQmB6PxWm32y3JJgv8gGLdH67nPR4jFExLwWu2gd8EIyutoYeA15yprwn/mnBJKqVQSkO0FXYJCKwZdhGLDqJVAsCa3A49EvqaK5bX7PruiSe+I2rzWw6oFGSmIjEGtNTDAHMszM+m9ZuwlJ6wfrKxri47jcBmwvr1WD1//dzpf365/9BogcNRAEbT0/TGug2/e4E1dyTKzGbiDndOAelr0ho6eE0Va8oKEILXjNaP8HIcF6MtZV6zwUdfM5TTlfQ14cvdb14TK/weY83t2wOjdo/FYTLSIbOdN8GCh7DmYWZGb3OPn+3HGjrUAEKhr0mtkL7m3uKG/G4ZawpeM5TvhYi0JbBmRMQsOolGCUi85s49CJUddn1Nsg3iDJnKYHHwpd2qMItKfZJKp1ElhQXzqROxAz5OtTuVk6Myeai0j/uTYCbDmnfZwHkFuQodob7PISvzf8PYP4Y1rdaL+3LTcS/TE8y5hVtbJ64f2f/Vlwiic9nViTg6GzydTZ43NqxzYw0dYFNJiUM2xmvu/9fPb79eJ3jNaPysrqAxkUIk2Zmra+iKHXoopSDzmmQbFO9fwzaLyWYZ6CkpKb9pt5gcUKXEB8dhgd6pTW9j+prx5LLJxnnNUNihl9xGJ6QwIOtrKv41ATZFiikJCKwZU7dLDDaUEgDW5HboE4UJ6UVFsA0KBvLMAEfSyqu0DsvjBnEFPIbAWFccY2m3SiNU6PvikIxXnnG1b8VIHPFxqj2peJEPkJ+hGZBh0Pd3/0OAU7W9wuXqtUzo2sMA84bMzExDAoI4Wq25dSPtremFubntGytHYBF0DMvnP39xuWBzgaWgQOf5wNg0NLRuyH0KUBNJApuJ8K/J7NAFrxnKT5doa5ESUHnNez2wDQJlSKY4+Ftke/NcxvU1yb/mqL/+NWE6b3JUle29cWCw9l6eywQfoDoTHM8z5pGwZhv5KrLpPePNwfCawJbUjnEUPo/gX5Ogps1LvGa5ymtSl/NMTBRHpwQE1ozO+yJGFQEJSLzmmQjxmrBDZwqAhLMozbVVYRarot3w6vxC5LVXa6tFJs/HqfYlj0be8zM0TGI0/9fIeU1p0DR4XlFqYMah2qz/OcT5QdTz3JTJ3NzW9soLI7kTfz/y8KuvLnVf1hcUFCAukKeTHBgO2QhqNg3Fx/NFdIKbiTtsOZ6tD+Ffk3we1aWRqqbQ14zA5090MacECEZFlNf02w4dPkFd9qqy6qefPtE3mO902V0WbpFOROzhkpaSw3xCodPXJJ9HLMm8pvCvOed7JhYKBdaMhbskxhgWCUSA15TtS1ZoPPS4ODIM+k/aXYY1CWAqIJVn5jzUnnp8PimN6mRagTWzEPQcEYIy2icPwp/m/oY7r/6/y1g+L9iMgOcF5LhwyGYbOtXkBtQE2CRmEy/8DeUUTME2aP+/3hT6mmH5pIlGA5BAxHjNsfrqknL41/RfXxOBM403CWvuPnHjQHH5vS0WD6lq6i0Wva0UWBO8JqUQ6mvKvOZM/5pCX5OLOoa2AmvG0M0SQw2tBCLKa65M/5rWRzAM6jKv+pHW0O8qbCahQ02acag540cWC+gMazZai1JSUgpbMyYuXD386icPGx6+PHDZUuCa7PSA2WTGq/HxtiG3e+r3IVtOTjJHmwQ1gTWlNXRhhx7aT5hobRESYAqKkdXX9DNuEPQ1jSbCmruffvrpW9UHBo8N5NkdHpvRYUlOlmyDgDyTQ6mvCSir1ddUeE3qR6RYkoDAmrF0t8RYQyqBCPCazJIZ5GbSyoyHzg2D0pLCyWumWTM5r5makJ4+WdiekfHFkS//9tVr52rsLqeLLaCbdEYT3AHq4+OHEHV6aMimz0nOiU/mzGZiog28Jtmhw7+m4DVD+gkTjS1CAhHjNRtawGvCDt1/fU29ye7cXlZNUHP37lu7T/SX1JbaLRYHNDaTS4vJ5xFMgxjWDJG+ZsmseOjCv+Yi3lJRcYnAmlFxG8QglkICEq+5c09GBOzQVySv+SvozEd3ES8onLxmmjUtDSqWCHteWFk58fy5nXfKH76280qNo7PT0ulxuGC8oLMZ3VhBB9I0ut1Dtvj4HBCbOfI6emKOvgD6mu9/eEfYoS/F51D06SMBpp8YOV4T/jX9jYeu95gsrqp6rKHztPsWrISau7fZYSWkI6x52GY0cqxJcYPYWoLP1Pw7ILA9Tzx01b+msEP3T5jRU0tgzei5F2IkEZaAwmuGL26QrK/J4gZlM+888AouG8fwtWPtVlkzpkLfl6zryFaffdvwrRiJIz5OtSd5RvKen8kkiPm/uKS7Eq8JQ3R+QpKAfD21JucD3SMWJZLVati0vrDywvN7nnpt1/6HT21DiKDOD0ywPbc7XSYy4gWhCaQ5BVoTOpt6gprJ8jJ6jk3wmhH+6Inu5pdAxHjNsYB5TZic6xjW3M2oTUKc1RU9x9rG7Q4T7NCLJawZQn1NTTx0H/+aBMjnF6E4E4USEFgzCm+KGFJkJKDoa05EgNdE3KAV51/zJ0DN/1gBI8Opr5mWlkmu25M2barcB9vzDx/e2Xm45oPOJzvfKNAxfOkGwgSfiaXzIZZsbi/0NYE2ATZpGT0xHnboctwg2KGrvtxF3KDIfBBFL1oJMAXFiPCasA1qIF/ufscNQoggF+zQCWjKafet6ori8u4a+xVgzTbEFVJ4zZD51yRcKduhC/+a2rdKTOUF1oyp2yUGG0oJAGvyuEHh4zVVfU3EDZJ5TUZ2kq9N2QenmufMp3SKTqsvXp1fwkAQz6oVIpnj41R7lOci7fkJZhj0K5RVZX1NRPjmrxkTpNbkU/PtE9aY0+CKKI31zJwSGdLSEpLSsE1Ly0Zgyrqr7xz65NLDszuvIBpl5xuIRbkBK+c2aGOCzzTC25HebdIN6YxGm8mhW716NbjNxBxCmonkFYnra76JeOgIrY7wlCBKEzaRz06DwWxGzoyMnNQhyiVs9KoMlGK/M9Sk5nq5B7o+4bOvX9qXi6H4cr+cWabtqqK1a9e+mJrKSuKSUs2510+fm4D1vX7DhlB+XERboZUAMXMEowhWMpKOgu6AgWelRpONx6gMn3/NLbBDLxur3T4w6mSxJine5MIJ7jVNduhrAmdq4eatk7ASqjpW1lJ8GDPABIzjtaSvCSVpNq9AxUbLEB6jzVI6WFZy28PEMcu/prBDD1SqS15fYM0lvwViAEslgUjzmpJ/TR9gogUZMsLgZTNwilrIcvxQLZxRO8yH1K+2b56Xywg2UfoWtOafq1ahmK+h303i5T6Xoki+Tjo7926NwWxIW7PG0JjdmGbNXjO9Na0xDcfYTpsbu7IbM14/9PCbTx9W/cP+RsEbHzS9gbRhAwu44nHj2UXPcIsdAZwp9Indszp5NQpQbMMCOkyFuH9N6Gs+c3HNmgRDmrXOii62Tqc1NqaYU9Zvnc7NXSONU56dMnA+eWlSfC6Bb2WgOVsWCe98/e+LjcCaPqb7Gp0DgxZrJhHWfAuhkoA1nxRYc6m+WvzpFxiT/FLqyGsQ0z7Uk2N0KkSxxeLRW+71nBwLXzz0LeXAmrua8wdGa4zwPetPcjgs9u2kr6mFmoQ8qyse9FQceHDYBrCcbDM5gTXznV4nHLEvIumh8+ly6B1XHtSXDOBDSohc5jWFHfoiBBodlwisGR33QYxiCSQArMnjBkU4HrqEUrTwQptn2GU2WpExGcM6Kgs2u2IkSmgw6oDkPKFEpfdVzDAoCVDTkGTlcYOUk9p6rCXNdUolpSVWMg0TIMOm6TVgMddMT7dndzWmNWLpfM0ac2VXl7Xr9RfufHjpk1e/uGDvLPjgg6YNbzQ1veEx4lEOggR8kcdDz3QE08NDFY90PfGaLOXE5+jhfLPAUn7t/f3MNmh6UxwgLJo3I1lbp7e2No5kVOYSr8lHpBmgTxE/kIt8R7/wkfZKyis9kEDBaz67zxona+jK+qyC11yCb4yQdsmxJsAm2D+8LxHrUafz6OA/CLZsetDvwJq9J8MXN8ibN1Zxq6++rHiwd6zcv9RQ3tDQ3NN3gq2fM41NGXPuPlFRf6OvuE0Hfw/JHsdwObBmjQU0KGBj4AmYG0IwlfaUld1kQYlYPPQ+EQ89pO+/SDcmsGakJS76ixoJSLzmzj0TWeGPh67aoTMkMRNeaOGaD9yQ8I1ykXQhFWvbWBjMhPYs73fmCORSwkcsT/jyJ3CZqJgkxQ1SZuGDp/jo5OvnHqthDcjGtOnpaeDANdOT7V11jeA0u9LWbG3t2vf6628fufTvhz+/NWnpLCjodDj0G4a8jt9NJttqG7FGsI6FI3eLEcDTBOrIaNSD1+RvQ/Yg3Ey8JnweEdbsmk4xm6fN1jRzV2OjFdnJ6fYLF7taW5nA2czYLFTx08D5jJUtHfufZkrSRzgG8JovMawpeM2o+eYIwUCI0WSMHd6BoNtNDpcLb1CKzOMwwQSHGHlLd28YeU1T3q6KW/319WUlQJv+pp7esQd7GdYk66DdzESIkCewZsuNvpI2N+hYvc4x2ry3OH/c6wFkXAzW1EPLxeiy5PWWlRDWnJPXFHboIXgTRrQJgTUjKm7RWTRJQOE1I6Gv+dKzL9Rx+KGilJkgQ4VbMrCRAItakefYabXQf1gTiprSENCUdgRKKWXiDKvukmHQj3dXUY+rZP+adCBVZPhMPZSLqcYcKc5AvGba9Pr102YsmT/flTANdnPrmsbWrZPgNL98/9NLr04wpLm5Ew/rocQdLpfX4cIDGxyRzWgxEqb0WOwuPbkIdBrBa7J3IoOaqwtgh15OWPPIudfrcuu66swAtVvXrEFfXbld7TiY3LpVQYAYKiU+Dz5bzYF6D/kpf7baxqS22Y7nBa8ZTV8aIRsLx5o2ApWM/IMasYOQmY3pe9BatKO7N7zx0Our63vhYPN26fiWLfh7/H/N+HBeflm1AjEZzNyNFXU01FsBfU2Pw2RL1rvt+RUPwGvaobDCPmGL2DiG7RQP/QqHmqq+puRfk1oM2a0QDUVCAgJrRkLKoo+olEBE9TVhGyTZoc8CJr5Qg0NRVknFKXIVQh9UOqsNtWr4c7x3Now5xsGKMMJHwJq/clrTINuha6vL45Rbk/dyue/eANMgcxoA5hpzY2PXSFd7yrS5vX26vevq8UOf3Hl45+cvYA0DP0dYDjch8rnJ6J06BV4zWW/EiqQOfgHBGXksLpfL43E4HB5aQ2d6cewpiIuI12T+NbsQ5RKNp0y3oh9zbtfz16+OtLe2trablcHLM5QKaODybVHq+I5+oSM+b+1Wur10ERLW0P99kdbQBa8Zld8iixwUsZkAYmSMY3LmjW5x6RFwQF1xpnOuqp69DaNeqkkQNMTYyjjeUH+jZKy2A7ZBbjc+B+hh4X/Qr8YmU3fZDb5yzrbEblb31/fW3ssvq39w2M1+1RkdVS1lDeNeB3m2ZZ+wADew4HM4nTfL6ntLpSslfU3hX3ORb7couExgzSi4CWIISyMBYE1uhx4Jfc1F8JoyQvHFIRKw0RbyvFw9vHu1XzVHQ+LIiMEkQkhWCoT+J7MGIpKTraGvYuCJV5Sy8nXyfu6x01nYAVEyW3O7clu3tnfltrd3TWRceP3QpW++vPT2BMWhzNERs7l6s86RN273roPlOR50JpfT7rK4EEpP73I6nTUWenhtVvQ16SinIMcz9fDaIHjNt6+PbIVJ0HRrV3tl18hI14Xrh/713FuVlRkXMtTBszuAQ3nabNLygTwTEoI/SW1GvpI1Rwc8bRK85tJ8PYS7V2gR60iT2OgarWquKnXg1xASFoy5VbjeBqzZPxY2O3RTHsVDb6jd3jbqxEK1X8nosQ3dY3boTGWTFtF33zpR0Vs17piCL/fiNqYd7bGY7sEB0hWHDroB+KUXeGIU73BtX33zsMRrIh66j39N+qEY7hsk2g+pBATWDKk4RWOxJAGJ19y5ZyQC/jUXo6/JwYYvGpEQiW+hjEv8ATfB1VH7VXMqSGJltIkzELr8Xknf4egRjr4lUyF2nm3UNpTiOYbHajGsabY2Nrabza3TrZUZGa2TE9ePPNz/4dmPrjqdkyZgTeDNzQU5evvh5rNVznXrbDqHSe8qzT9b2z1MemRXas/egwEGDA+YzyPGK7FH7OaCgknOa75KWHOyHa0Tl1l5/NLXB959/6nJycmRLnWW0tDlAtrLk+JTU+bGRbHwVm7GRxbyJWgX+prcNkjwmrH05fL4scJGDa7REdLKOdDbXzZWNeoy0rsxGVqOeJcCeDqqyA49XLymKa+h5Qb51zycZyda05+EBQJHN8eaErcJjc+xjlKnw93UVoIYleTyAS42TcO1JS1jA1hHWKy+ptFkz39Q0TNsh1aBVl9T8a+J4T5exKJGFElAYM0ouhliKJGVALAmt0OfKExILyoyrJqxTKma+i4iJ0MHDkRY3KBA9TVVwCE3xksYsJkLosgXhHMv9zsXvKIyNl9QmY+ALmenR8RtStCM1ZYPpf3cI6eaaWYoaK4xM6Q5Pdl6eeLg1Stnjj1suPPy8QlXQacL4SgJbG7Wedx5+fUlDcPkS9PhcB2uLSkrqYUimcuSP1hc67bbHRaLLVnyecQeZJtxXaekr3n9wmRre/vl9oyJibfOnf7m6OcnTnx9aNoyfTmXDZsNno3fZ8CaA1k+c89kZqm2tpyXZMjFg0LBa0b2ayEyvQErwVqNlsc9zu4Scoje0HG4BtymzQPzbXKJDtsgYM2w8ZpGzmvmky93xqj6BTaN5MtdIjWfvnWiv6W3tq1mCmFf3Qxrog0byE+vfXisHvB5e9XAwJVFpIGBge78wfqSY0Z8Vmlcqr7muINZGwleMzJv0xD2IrBmCIUpmootCUi85pmI8JqIG5QNX+aUGGBZYEs1lNNqjl8sHc/dxkwoE+pj7WDmGwEbedwq4jVnJ2BNWQDy2HibNDm1RfmcWmJohPn5GnJDxAx12i9nvLX9ywfFDz+6bHG7XJ2AmSaLpwAr6UaL48pY9cniNnhwh+fp0eb6E9UVDYd1edvymssqxozD21wwWJCxJi3E6fVYQ5ft0L+4cHlion3S0nr1+Ceffn7jxK1bJ95/DtqaW6fV8fEZKgOmE8qBZsRU+Jikra3mpbvPC4S+Zmx9qfg7WrB1hDUJR9mrSnb/3//tvlHf0G036onRTIYvc2DNe5JtUFj0NbGGzmJUki93f3lNjNZCMSoZqYmPRkXvvfEpl90OiKzjMSqxWIDACQ7LEHRN4VCpZBDpQWD/D1C/d7Ckr6+luXTIbseHFd3O8q8pltD9fadFSz2BNaPlTohxRFwCEeA1gTUYEEl6hWyDOPLwhVUqhJHLGcbwOZiBwqRGVXAit/EYZBP0ad8e5V5nlLL5GjK/VdbPKaOsocsXMbHIk6SBaVvRDpSXIzqQmbQ1CWm2tmdc/se5l88+bH5te9s4dDGhpNkJJgh2CKQZ5jG1jZ04WdIGyshjKT1b1l9dX35lfLx5cLCsYm9L74OxbXYLLcyxRI96fQ7W0C3lR+Ff88hH1w+2Xq68PHH11YefHvj81i3oo1V/da41Y6J1WhoxxsxnqA6YFalz0Z6g/EIv33nLV0pdcTEIfc2IfzFEokO872zk8BXI0llVRpbdt6r7ynbltznJlDsZv5N0lnu7+hvIlzvBT0KgIU2c14QZOsUNInj7+JcNK+LGbubLfffuE/1lvfkDTleTd4q8YRoJa7bpiJglV7bu8e7e4pJ6pLJFvVrqy3pqDzthmo+PKGYPfU0f/5pUGFJxiMbCLQGBNcMtYdF+1Eogwrymn3boHHgxhMLBhoxAOJqR0IlvoQx0FoI1oTinhUbzjUDCVnehWqkmZhuUbbVyH0jsUnk8vE15BvKRfFYpB9g0W61wP9SacfCtPWeO7W8o3/4Ph9HzgctuysmZsnhyPAXAmnh6A2tW3yg5jOenY7i27OSNluZtLte2XS19e0/e6O+rKMbTHHGd6VGFxyt5eWe8ZjP3r7kHWPPCW0/d+ar+5K3/Q8Iz9f3jrRMXWlsRuEfGgHxwsjBojySfVUbMStR5zM7Nf41yKdoV+ppR+wUSzMD0eN9BX5N8tru2l/0fW5befeJkWUNV6RaXR4+FdA/nNcOlr6lgTdgGxfsBNMEuIuiWzkRYEwZBJyt68ksdO9Z5schtgx96E1tDp08TQUOPyWi/XbtrsLikeFGppKS4oWrc4qU1CIxN8JrBvNWi5FqBNaPkRohhRF4CEeA1ATwYEOG8JsuygrmBCQcf7JyMWGZW5McLtEEVwvPyhUZzwyuGuegUMBLcFK1BFHP88xX1b9n6ORscTnNZyG3Kez49dfxyuQEu3OHsqDFlemv71bcO7d/fcHZ7qdPb9Lv7d7dxamrKPUQbm81tshldA2PV/cUDRo9puLweT+/8UYfLYWmrfdAH/bKyXR3jFh0RMeT0CM9EKITBDh3x0Bmv+dTxg5MHP7pUfKD6BJY1CWruPvHpmcnKy5Nb2aTY+OTbqN4jaVLq6JVxs6vm3syuzUs0wqELhb5m5L8ZItAjYU24OLLAp6a9qow5qiTn6NV99WPd2+wE2OJZjMrw6WuOkx16+THiNam7xydgPricJ33NWzfqx7aPjruG4uEGCYESoF1K+prFh6kRxEFivuntzuErV4ZLF5Xa2ka32MkTPEIxENRU9TUl/5qMhI3AbRJdhEwCAmuGTJSioViTgMRr7tyTEXY79IRX/v3vN7MRU9GQQJGtGYZgu7kABwEVBb2oOQ5xpOO5rpMrUOuhTzN7nHnMByaNnJ9PwWAMAAAgAElEQVRUBiH515QmxXdURW2Dxq4eyReqJQlgNBvhVj336vEjp8+W3+n4YtjuaHrj99+bTiW63e6hoSFsE21DRq/FMkBr6AMmU2lzS//JkrPjrimXZch5r7eiunpv2bFtWHZvq9p+sBPUps3ivNlx2Fng6Zy8xHjNV8+dO3Onp+VzjjQZ2Lz11zNdl81bty4Fr5lgNadTjMrz1rhNMwzX5FiVcUlLEw8dDDIlUMmMyWIHONQeSGViN6cEgDXh7whL5Tb7doY1mRbkblgJlYzll9bABMZys/fGGPxrMocJkmDxHQspo8Ggv2w946SvCTt0YM14f1vTWexVxRX99T21bU7vVCJNTHoH6DjWxNDYewAgcchmcrncsO4xWbyBvaBzbWmKtw0BwtICBKVZ/jVR5u+gRb2okIDAmlFxG8QglkICCq8ZvrhBDEFhk/DKs/9+s7JuXyOgZoKEx3zBlQqrWE7GXmqxjOXoDGDZQlfTRaF/zexx5jEfkzQ0flIahOJfk05SmTID5VAq5ifVsSvn16yfnM6Fb/WrT1365quGnf+wd7qbHA73qVNTTYk78JKSbcjuGGrbdeJGyYDLeRZmQWUdNW7dBy6LzdvWW98He4Ptzjy78+zfiqtc5AbJVbqrpLkNhkWTZ1ncoEOHmt9vucFWz4nWRAKveehg+/Tkeho0HyUbv2bAyqTU0cvjVmcyM6etMTPPJIRWN6Vkm7du+uyvz55v3LQ+IQloU32prhFWFa1du/bF1FRWEpeUas69fvocPNtv1m/YEL6PlckF9VhQc1jrBRaSkBDsQijwong9XgIEGMGqI9qAXsaa3Lwbipv9JeVVeS6j4zaPUckMrxVQB3BHRupB31k3fLmD16yFHbrdz9aA79z2e72DvVXDrqlEX4DKbYOIrQ3B2DSTQ2tokfQ1hX9NjVhiMCuwZgzeNDHk0EhA0decCDuvyXweTbbWNWZfrAO5udIS9+Wembn4ecOF+8WRfa8fevafD0+/+taWy5bON4aaprwO76lTBDTXrVtHaDM+0T1lcQzsOtFffPgf5fX9/SXHhr1unc2j84znlxWPNRT3lZfaXdsGD1Sc3QLv7qa8qrK9vfdyCjrJv+ZXH375fsmBkyduseVzDjWBNd9/rpKcbS5+7Iu+Mruu0rze/NnXL52/2Gg1+BKbKupcGl7T6EDAG5iKMHChQ4x50oAl9EngQLweLwGSlM2D1Wadc3s9M+yWsCbco1f3lzRUbYN5zcldpWQcAwwPZQ9QoDoPBE3IPvhvQM94A/Gax6raRu0wRvIn0YBNW2533xx3ed0zLtC1wZf7YcKamHoIE3svKbxmt+JfM7S9hHDAoql5JCCw5jyCEcXLXwLAmjxuUPh4TUZ5AWtYX/nXsy9cTrGaK/ddrGv0MZtRDWiWby77P3B/9G1w89v3+mcvnH7pYfOhLy5bCjo/MLrX7Tjl8HqxkgecyZAmwOaQe8jkut2LNfSOsy3VJ1rK8xxDQESwGRrv3lV7sy2/mLQ3S0v2nsQZnd40ml9R/aCqIMfkKj96//79o+/ekFbPn35axZpvX25vr6wMbvSLurruYqPZXPcxeM2L+IESXbymx2TTWTwASxRxnvzjG2EjIq94Ah6JtLAEPOCDmcm2wwQ7dJnSZPvdT//fbvjbHMtvLj45ts0CM3RE4qG1aFh4E9ZEwyTpIL+g3WwNnXjNUb95TZvRopuyO+1ut0U3o3usoSMeeuh5TWI1MV8v8Zrl+cCa3L8mFc4YgTiMbgkIrBnd90eMLowSiCCv2fjOs3/51/lsw9Z0AM26lZcIa/62L4h5Z09ffOcvn1778O3LnbrNqzcXdHreWLfu1KlTDrv3FC2hS6vobqPNQ7xm9YEH9bv/70RZhzte5/DY8Jw2WVyOKa89z+V1uvJK+m+UHzTicTWeX3GiuMpU0Dn9sOXAu5+fUFfPZaz5f+A1uzJG8BMh8inbut5cd/7Nvz67r67REGW8JlFywJcATC6E8ja5YOOiszhAdsJWRKTHSwBvRwuMaowWl8l+r4RjTTCa5PyIhX58end1S0lZ/9iwxY04QuSJE6Zs0mo6DMJdrplgL9AvSonXrO0OhNc02U1Gk9dtcztmdq+uoYeWcZzBa7bBso9wZojZ00CFJ+oHLgGBNQOXmbhimUgAWJPHDQp7PPSErX9/9v2//vMvf3n477/8eyWmv+z/8sPgZv6XL/967f77p9+a7IQ3zc7ODTqj1+FyYQn9FC2d8xQfrwPp44a+JlYhT1ZXV/f3tNlNLqONLDDcRjjgnHK4dQ7XtuK9N8Brglka76g4MQis6XE9bHn3cx9Fzf/7P8BNPPxvtbz/7w+X5p6RxP7yly9hG1RnXo8Qleq6uTZe5VLoawL2wH03xVj0mPK6y5vPNuP/bHNzOW1E8kcC5RAZ5EbbB3uBL7XUJg7IgWVF341doxYjIlYiNuR46ZXDZNN9+HDbtnE44QyW1gOvKelr+s1rJifjwwR9CZjsOAj8apOb+XIPPa/JgOVs/5pMR0Hbv8hHuwQE1oz2OyTGFzYJSLzmzj0TWempRZmIUen7ONc+2gPOY+Gcm4PQLmHr1Re+/PqvX7P0V5ECl8DXX187evSvf/n5nQuXt3ZaJj2bn2xy2J2uU6e8p9bFq4mZ6B7edYIcALYc2HuiorzUgTDTcPtHzllAvQFv2hylD/qANV2Ii75le0X1YBXQ63T5gXexgA5VTVLWxCLmbnJ5iGZ233r3Gu7c+4EPOfgrvv6atfH+e+cb42AbpAWYGty5FPqa5NgGWoTAm3AxVV5SjMgwgz09FPFFJH8l8AAJdYt7BlsoEo8P2GQeLPsO9FXvKvUaKaSqyTnQcTY/vyM/v/bYse0D446gvxVVfc1hf+3QKVY7dCZIbwL41xdrRkhfU+E1idoUKZYkILBmLN0tMdaQSkDhNcOur2nOrTv/yivP0N9nn70iUuASeOb1V95+89I///nhJ8fJxNrj6TT+DlIT3KZXRZrx8RRjJb50DAixv2R7bfGt6paOGqJgaI1Xj/DoJgr+Zxsv7q9uOAisacwDr1m8vSCn0/mXo9euXUOoIG4XRCQT4CbS7hNfv4cbtyR37Rl0TG+YiykJuZVW3x9CS2uHrmBNvdFeVXu2anR0eHQ4Lw9/IvkrAS6y0dLR0vx6+HGVeU2egcLmYDPpaw5bdBRHyDF+7xgYUKTy8vJj3aP2oL8JVV4zEDt0TjOSsdIsrMn8awKHhhgEYrV8Dn1NwWsG/QaIdAMCa0Za4qK/qJFA5PQ1rVZzKhTuDNY0K3OyuWjL5Ni80Iz4kuY15mAGb25vbb/69s8PP9z/8JNzRElaPmhyNwFsek/lSIneV6vJIwyw5q3q4vwtpbUHqqt7quywqbDY4eHICAsLcg5tGgXWLN9iwfMyD7ZBJdtzciyXHx79+st/vv/XA+/e4BhTxZrvv91l7uqCwmTEU0ICvNdbG9dvWr/JnG2NKl6TMAcFJNTrXFW1x0qNCINNRSL5LwGb223bQEHRnd1lCtJkiHP3iRsVxeXb27YjHvqwF/QxrNXtowPd3d338N99Ex4xLUF/i8r6moHYoZPKKIWBhYESdCh8hiD51wTWDLG+JheoEg9d8uUe4l58piIOwiIBgTXDIlbRaCxIAFiT26GHXV/TkL5169b1huy6bLJBJ3/uKyptikuYXjOdsGnxk57OvdA13T7y/PFP3r9/bdeRbROXHQ7HB8ahN3acGpKxJu03b9brvKUNJ6or8rfscJQ2V+zu7x13eOCCGq5jPCYymDbF26+UAGs6yZ53PP9AdfH2Tk+nCz6PPjz983vvvX/0Bi2kc56JAgdVwzYoDbHYgxj9oudtaIR/TbxzrGhhhoLH0vKa+HgDaiKAYLLeVNXc3OYB0wXjaBY0hlFOhAXEawEJMNQGwtJm8tZ0lHFSU3rXIXjQYH6pa8p+b1dfw6jFRuqaCMxDZuskcOLxCYAF+RUL/5rweYS4Qf7bobN7boKZnQMeCGYMQLUNmnEiyGHSuwi85kz/miEQQLADE9cHJgGBNQOTl6i9jCQg8Zo794yE379me25ursFgTlm/HlG9ExDAcSW9FEJw8ZM2V17OmBi5uufM6YYvv/rbV2dvw8MmGBZjk9eoxZqwDdKZShuqq+tvu+z28bbB6hMHjpWSK0goZ+JJ7cFjUm/aVvx5dcO4C756tjWTviYim0yfvfb1l3d+fu7cmff+ef9dOD7S8pqN0wiRSVE3I/xCiCkz/torKd6UL625xPqa+BYA1gSviaDe3bW1pQQHEImevEsBaoiXHxIgh+zAi5CYc7uG19x962TLYPNNOEtvctzsgb6mBcAS71wejoeETpQiHQX5Tazymv7ra5KTAag+U7D2mf1DX1PyeYTbH8LEJKn611T0NUPbSwgHLJqaRwICa84jGFG8/CUArMnt0CcKE9KLimAb5GN9oTJHi8mRYRCZB7GdwQwf7hQzKL11a4J15flyV8DmojMAXBNdE1e/OP7qkTtfPbj2VfnOL/LsljeMTaaZWFNvhB36yZI2r93lcmIV/UbJsXHEVSZ3PLCfJY/YxjzS18yzm1ZPHW7oI6xp6bQ8vPb1N3eOnHvr6j+Of/JNfX81vM9I+prvvw0VgDRgzYinhE3rU8jDZiU8uUeXf02ilcjOCnbHpu5jtdsY+IG/TajLAhyI5IcECDECMiLGJ0KMy2vou0+crChu7h52uIdsOu/tnureUgtQvIQuYfzPlq+BUknOwSXJvyZ4Tf/1NXUehD6HsytsZw5AXUMPLa/JJTnLvyb7PROcAMTVkZWAwJqRlbfoLYokIPGaZyLAa67PumjFYqi1MjvigGV5dGiubJ3MuPrW1bf2nDl25+GuT6+V/a38do1nAx5FWl5Tv1m/ueBeD+KuDEy5h6acbbUV1ScG79mxhg7P7Q74M4Tqm2UYWHMMWFNvGdh1ErZBHoobVPb1/js/v3r1wsGJg9u27y/rv4XnPxkHnfjrx12NaUuENbem1KWk17Vv3RqF+ppEtulNHvCax0bjAUL0OpheURK8pj8SIEHRTx+Tzl5VImHNWycODOazSONDAHP07hzL81JQJrx7IW4LW7oGQuViDu6rFLwmfB4hHnog/jUBchGVFB7EKFC5T/8q1gwt4zgfr0niEymWJCCwZizdLTHWkEogArwmgB7Rm1h8zbbGbWVbHGkWQAP2pbRCr4Vt0HR714V9V18/99yhT+40fPPpg093vfbRQQSaBF9JvA8ltnfDl/vJkis6fY7OsmWgp+9Wxa7DZBqkdxt1Q0Prhtzu8d6+W8UdeY6pbc0HTsCXuyfHc7n86IMvTx95+60LiBE0cfX4J7uu7a0Gswk3h++/jaA/CXFLcqc2mRsT0q3mrXFRxmsq3KVRZwSvOYqbwNfQcRP8AVqiDnMYhd8+RuOQnccNQmjKlp7am6XOqSHASWh8WG72nmwYNiFGEHnqwlucvA3hG5De6cF/ES4mbhD1TNZBtJtBrIZfX7OvuAFxgyTbIPYGCl4IooXISUBgzcjJWvQUZRIIK69J6+4cnrCdZhmeSkUKUAIGmPKbs3Iz9l195p3jH+888snDr+5f+3r/y1/U2Cn8CiJF0/MPj27oax4eO3GjpG1In1PgsTjzyxBEqHbUyEwqJKfvzuYDuyt6OgbaaourCWsaC0x22AaB1zx3fWRra+XIxvSsZ1748uiNE3C4eeuvn01XjqSvD3DAoauuvFuUDLWtQt8l8a9JaIchD9LXPDaaKFNtoUBBUfY1EZ7hkMIBfOEDuent28vgYOvWib7i5lLXKe/Uk4Dr9H62dPf0j42CKyacib/QDkTW1wwgbtBCAwibf016l2n1NaUYlaFlTxeamTgXGgkIrBkaOYpWYlAC4eU1ZUTJEIKKDGYdak+J/HwSMDRCzdWc1Vh5Yd/zb+05t/PIe6/d2f+3o/e/uvPRFkcBHsWdRnokuZxGj/dww43+4iuIn9hp6TSNNvedqC475vIwN5w8vpDjds+JE9V9fX0VB8qqoa/pMpmI19x/+tCrz4xsTcmtLFyf3j7yygt/+eu7J26B10yvzNi6XoPu5htkeMqVjpUM9aOmJYkbxLEmMJG+ifGaDGsy+BmDXwRLMWTiNRnW9AzZu0vAaVb01A6M211YLQfUJKwZT1gTvCan60OONVX/mgHEDZpfUuoaeohBMUlDxEOfX/Axc0ZgzZi5VWKgoZaAxGvu3JMRBjt0lXtiEEGFBjMPNWdEdl4JMKxpMBtAbY5cuPr346+++urO1/b/7evi9xteuzlsN3k6Oz2AnBa7x+PaVttSNjY6RVjTYnTd3tXSV1JrNzGsyYnNqZr8kor+vr5+2GGUtDTcdnhM0Nf89MvTP7/9OrBmSlZWe2Xh5MaLn733z6/f/fyfHycU5qanzzu0cJ9QcKWSoR5VXBtNvCZgQag/pcu0PT0wJcOaRptroLe/pbj53rhjyj0FZUgCm5zX7AWv6QXSAtAMOdaUeU3YBvkbN2ihW6FizdAyjpAFgU3Jv2bVYREPfaG7EM3nBNaM5rsjxhZWCSi8ZljiBsnc0ywi0wcoqJBB5BaSQCbxmswxaWphVsaFq89ffwdo8+WHX5UcPdr7yT/gAcmCKOnkR8boGr/Z0LzdiWV18nDkcYzmN5RXOSWsKbGb9sPNPYgPOLbdVdVclWfLKTCVH/167PSRp/6ekb4+PT135PyFyo2Zdfue+fgvf/3320Ca7eRKfWleSrdKhsahpujhNRkqCOtHdvk0DvBoMxnJ1sbmLc3vzS/1uqe8dEyRzonXTOZr6GHmNRvyA7BDX0j64dLXBM5EmuVfU+hrLnQzovKcwJpReVvEoCIhAUVfc0Lwmip0ic6cwZpJXofiEhJSCwtzMzJgk37unXPndt7Z/1XPp3/7qvnM8KSnoKCg0+IxwtVRW9uwa8jmNhrdbpPFlXe4Lc/l5rwm2+ocdnvp7arugdLxU3ml467EnALLw3riNZ965kJWIRzvt18YqavMzc6uq3vlhVf2gU2tzF0yuSi4UsnQUFTcK3jNSHxZhLoPkJUIKg4U5bEZtxy+N2yf0nnIRbrOBJQp85pYQw+7vmYAdugLySBC/jUVXhMAdKHhiHNRJwGBNaPulogBRUoCwJo8bpDgNTXQRQUx0ZRLy0xLSsoE2jQbzIWFhWuzRp5/6+9fkOLmnYfwt/np/iMDB+2WAguWw+1G95TD4XXbvN6hxHVe71QTHQ5psKbb5Zo65XK6Tp06Rf9DNluB6WE98ZrPXd9XieXzrZMAlxm56VlZm6z7rOnQ4MwVvKb2Y8me9GytV6uvKXhNrYwWzoO5NFqM5MtdP4SwA44po86GoFbMwzsReYzXpDX08OlrBh43aIEpqWvoIQaB7E0l/GsuIPoYOSWwZozcKDHM0EtA8JpLxtUF3DF5ikrKzMyEPbrVWphSWJmRm3Hh+T3nzr3z6pFP7ux//34xrIQmOgsKNpso/rltyIu1SceOxHVDXpfLcWpoyKbBmrYhk8O749SOHadOTeHUkNEIX+4tn+4//fOrz+yrzKjMBbM5uTU9fTJ3JLcwKz09pTAlJTXgIYfqAoXOVDLUsvpDQPCaof9qCH+LGqyp17ndgJsEKk20rA50lSzboTeMekFy2gA+QwzhkmNFXxPyQFLioQt9zfC/N8PTg8Ca4ZGraDUGJACsyeMGhSUeuqxTxxCCigxmHWpPifx8EmDALTMNYJNSalYuqEbobT4Po/TjL/x85+H+9z/9+ptjx4ftRqxMwobXNmWa8k45vF73KS82Q24trxkf73FZTEPuKfepU17LlAmqnpbyo/B5dOTV1zNacyvrKtsL0ycL2xFYdDIFXeWmpKdTjMileSndKhkah5qWWF/Te4/8awIKIZEVRwx88KNhiJAUAp3TlpCkHjFU4dbdxELyMMPrCOlrlsOXu99xgxaSW7j0NblpEOlrcv+a45LPI/FOW+huROM5gTWj8a6IMUVEAhKvuXPPRFZ6alEmYlRq6aJggYXSGIMIKjSYeag5I7ILSQCxe9hpYE142qyszF07Obl25PmrV99+4cihny+9f/Ra8cOfv7js6kRIE73Oa/FOTbnsLrCXO3asm/JK+prsjQUDIofLkeh1NQ0NOVxei8NU0Hnp2uD+O588dz536/rckZG6jNyiOsSGTNk6WVg5Ulm4NQW06hIlBVcqGRqI+vYUvGZEvi1C3wnjK6GwSREIAKlMLhf50oRxOuc1ky3dvRHQ14R/zdDYoRfXFx9GzFIafQgTNQdcKXjNEMp0aZoSWHNp5C56jQIJKLym0NfUQBcVxERTLglIU8aacXEJRVnZhRvXVo5cuDCy7/z51595m7jNf34FK6GzH22xd+o8WCR3rzvlPTUFNzJDQ6ccdi9fQ2dvOz0cy0x5bV6Xd2iH2z2kMxZ4Oh+Wvb//IWyDMrZuTSev8SnphYWTlSMZrVstk1mVlZVCX1P7iWWsEiEkH/+aDBVoq4n8QhIAsAQ0w8I5i3LOQqOD5OQMsbyGHnZ9zZDxmm0lEtYMLbWNdxqSqq8p4gYt9JaK5nMCa0bz3RFjC6sEhL7mEjF1i+mWYU2GNsFrQmezaGNKUeXISGVW5YWurn3X3/n4uTOnP/zq0wc9+z+Bv03LBx802YZOQSHT6z3l3uH2uqYY1uTvJ70RIaaNQ0bHVJPXnRhvy8nxTJbDvujhEfhyT0dan25OSYdBenvGSOHkZDpY1OysxQw6JNcodKaSoWbVHwKC1wzrt0SYGgeASk6G0TnDmjqPkYWfhBIn5ziR0YPXJDv08Otrjtrjg5+kahsUTl4T/jXFGnrwN2tJWhBYc0nELjqNBgkAa3I7dKGvqYEuKoiJphznNQlrQmezMdscl2AG4IQNz/qENV0X9xG5+c5zP9+59OH9o2VfffIPO5Ehv7uHTp1ywDBo3Sn3ukQt1rSZHG6bbcpyasoJDJpoQzz0hqOD+y8dOf76iDk3KwFYMxU6oYgftLGy7uIIzIMEr+nziWVISfCaPjIJ7ACMcHKyB4EqideEr038U9glRmvSXrZDD6d/zZbqkvJj5PMoBKve4dfX3MvioUtYk1bWAxO4qL3EEhBYc4lvgOh+6SQg8Zo794wI/5ohYeDC2YiW18y0ZibFgdyEb/f1CQlrrNYuUJvPXz/+3KEjpx/u+tuDv+167aNxx+oh9yn4x57asW7I7TUODbk5d8QCKdo8sBWCwZDbeyo+Xq/PMboekm3Qz+dev1iEFfTU9FRzFlIKYgjBCMmcklJkDefkFmxboTOVDFVXfwgIXnPpvkIW3zNH6zxGEP0wQkJjbKcnx0dYV7d395wcI6xpNHmwws4X11nNUGxsNWOENfO7D4863cHjNo+yhs4mEYoRsjZIqwBTd3HbIBE3aPHvuKW+UmDNpb4Dov8lkwCwJrdDnyhMSC8qgm2Qz9N8QQDw2JOEBVhiOxUZzDrUnhL5+SQwU96oZ6CXwQAQumaNubFr3/nXrx9/9dCh0w977l97sP/lK1vsjqYm9+9gNwEzvVg0h5Ym14YrwKOVaM7ExHWJ4Dv1iBvE7NAvHXn77xetCeZccwJoU7MmJZiFHbr2cwoYQMBI6GtqhRKqvN5kBNFpNDGsWeoywZANNuoWE97AIUzevF0HiNcE1qyBOVKwyXOY9DWZAmrIcCY1hPBfOp0t3nWM7NAxWLGGHuydWqrrBdZcKsmLfpdcAhKveUbwmjORXBQfy2A0KQk4k+BmppUoT0Nj10Wso18/d+jIJ0fu7Lpff+2r2pvjWCmHx2zyLKNz2WlnhLdseoLJWDORYU099DURD33/WcRDJ6xJhKkBITF90pLJRPkBpGRoKLIc4pIEr7nk3yShHQBM14xEbVoGem/03hyusdfUOO12Z4jTloHBihslY83bYYc+FDzW5PqaOlKEpg9aCBPAJuc1HxAJK/xrhvbNFrnWBNaMnKxFT1EmgaXjNTVIQcUMIreQBGZCPV4XpWlp1jQCnkWNMBW6+vd33n71qZ2v7f9b8d/+tr/23qi902jqpOiVFgsef55Ocr7JVOM4ryljTYXXJKwJmBmHJXqGZBl5SgSq4DW1n17IUvCaWoGEMI9fREadB7ZCjnuD1S09Y+U8NTRImRDtGnor+k+WMP+aThgiBZu4viYcOCGFEGhSUwQ27bW+/jWFvmawNyzi1wusGXGRiw6jRQKC15wJ4KL4eCYO5UMF1ZeWnZZ2NykO6BDRK+suUDChV5/beeTSV/evlYzlf3HZboGrdsBNPLQKOk2deBB6TDN5TT3iocM26A7xmpkq1tTymj6kYkTlpPSsZKh7VR6C14yWL5TQjENPPB7Aps5R9aC6em9fRUVfRV8YUn/1iZPFzfk3R8edTbagh268UtJS3MZQJq16hyxBS9UGWQBr9heP1aq8JnoKesyigUhKQGDNSEpb9BVVEhC8pgaxqNglOnMz4R0fJUqxgJ7JwBeBTQT5Gbm65513zp3beWf/N199+ulXD5+amASt2Ym4LJ0FNkKcpLM5aw0dWPNT2KEzfU2Z1+QaofJ2yWSldKxkaO5qEnGDoupbJejBIEw6ASyb3lTaXFZfVl/fcgBwE4mBTgKeoXn19fe17MrvuD26xWUMAdYcANY8TNbhDG+GdAPzIJfgNYN+Yy1xAwJrLvENEN0vnQQkXnPnngxhh65Cl+jMKWvZMvTjnCMwV9pdvNIkCnJjemHuyPPP//36nrd3vvnaw68+vf+3D3++ffByJ4FNsJvy8t4MrEm8JvQ17/z86usX07S8ptqbFt1FVkRKz0qG+ld/EQhec+m+QsLRM8OayWQU4xw4W94w1jtYXFIGyFkW4lRSVtzT3LF9IM/pMAbPEZrAa5Ychk8H8t4U0sT0NVncIBgytQl9zXC85yLRpsCakZCy6CMqJaDwmiJukAa6qCAmqnLa9V2vPUcAACAASURBVGzKcxRIBN/dNADOTERKh8PN1PQsxK5EnPR3Pttz/bn3fr7z4af373915/rlzTmbNxO3SQEAmWvDOfQ1x8BravU1qQueKLdkIlI6VjJRxWs2dYt46CH9emPYKpliVdq89vHhtu6OY4CcXF0TOpuh+oPaZ3Pt9nsIh+50hMAO3c15TehrKj/oQoI4dWR6r5N9Hgk79JC+1SLamMCaERW36CyaJKDoa04IXjOyVF3gvRngdUh9EQjkYBNYMGnVXYY1M5FPTbXmZufm5mZAb/Pv199+4fS/Hn74/qeffnPsOLjNzk5Lp6kgORmW6TN5TQ9bQyd9zTpZX5OhTN4JQU4fUjHw8QdxhdKzkqHG1B8CgteMpi+V4MfCqUEPfBx5TC57zWjb7e7t+fm1x44dk/6xC8FfbW1+ftXttoFt4y6HCR+IIBPzr9lGS/8hpjVJ8xN26Mdm6GsKV+5B3rCIXy6wZsRFLjqMFgkAa/K4QRHnNTVIQcUMIreABAzwp85Tamqq2WxIYFCQAc67dwG97lJatSr1xczsrOyitelrc/ed3/f628+98NzPD9+/dv/9hz9ztNmJJ6HX4Z6BNeFfk2yDwGs+o6yhZxKTKSfKLTC6sJ5TGlcyNBI1LbG+puA1Q/x9BqwJP7CMzzM5XM680dLDA91VVd1V27ezvyrsQvHq2N49UFoKyyCHiX58BZX0ejfz5c5jbAbV1OyLwY/G2/OrETdI9a8p7NBnyynKSwTWjPIbJIYXPgkIXlMFLNGe02DNlFQQnEjyErcP1ky1FmW+mFpUd2Hfxbp9+7rOv/7ZC+/966V/fnr/6547ty9bNheQ2QW5E/RZQ9drec04Qyb5PALWVPEl5ZYqKT0rGRqJinwFrxm+r4ilaJmtofP1Z4/J7szLGx4tHRgYaBu4fRs7/IfiD20cBtAczcursXthixTkROF6vq24vrgNuqYh8J80YzBkcMTiBpXnq3GDIKAZ1cRhdEtAYM3ovj9idGGUALAmjxsU8XjoGqSgYgaRW0ACKtYEuwlqE+QmMZuENxmliQ1UNjOLiooyM1NfLMrOrsvNzKbQlc+88/bHh05/CJP0wf21N4ddJo97iB6tPlgzB1gTtkESrxnH/GsKXnOBjx570uNpjwVTwWsuIKfFnGLGNeTnR68fMjqYD/fx0eG88bzS0eEQJjQ4voWcxLtM+P21mIFqroFP0DbYBt22U4OhTU6nHW2Onz2xt5j5cncw+z7Ba2qkHxtZgTVj4z6JUYZBAhKvuXPPRFZ6alEmYlRq6aIFgI9fUFFpjNUmKkpK1LBIAUrAoAkYKWeBMylpsWZ2duaqdENm5tr1W9enp6V1gdvc9+szx5/7+fSlL+8fPfpN/qjTxVzKkLmsbR0lyug9k+Xk84jpayZxn0esbaGvOffnTsKaZGZl6q49NprIlfTI383cF4hSvyXAZOixOAgC2obcDm+T11XjdHldTrvLEboXITiXwzHlpYiYwd81+HJvqe8oHbhypa2t7UoI0+3bN28PXLk9dqK/uEGKG0RvNoqQKlIsSUBgzVi6W2KsIZWAwmtGXF8zWBy78q6X9DMZAGRsJl9Bp62MWulcptWQlAqsuSodr7S0xrSurov7Xn/l+MeHjhx7+OWnxZ9+9drNgw54y9a53e6hHTt2nDp1ase6IY/HRf41Xzry2TOauEG8C2qWdbNUQld+2SgZ318rQl8zpN8KS94YLRmDMIZBDEtkbeP2Nhmxcbub8LYNVZryTrmH3PRLi6BbsMlWWtJf3QLnTPgLcYK3p5L6vlv9Jc3bb5bWWCTro6DX/YOdsbg+MAkIrBmYvETtZSQBoa8pw7RY2GuhnjTeBfjhuFVxSRQo3WptrNt3/vU9QJuHTj/86uv7f9v/8u2DTovH6D7lBtA8NXUKT1xP5+TDo3/9579e+Ez41/TrA87QCWEUwWv6Ja/lXknv0Y/2tvTD3XxFRX//3r19e0Pzj2b2or2+vv4bNyqKa7tvjzqb8KYjIlZgzRh7UwmsGWM3TAw3dBIA1uR26BHX19TiJpH3TwIaPCxf4EP0yYV8T7WtjY1Ws9ma23Xx6vNvXT/38pEjL9/55lrL0fdfu+KE88IdXscUeM0pb9NQjhFY8/1/n35hDl6TOTwi+tS3g8gdKR0rGepbTUvMa3rvCf+aoftOitGWjC6jc3t5767e4uKS+paWAwda8OJ/Qe3RDOIm4R9psKHj9sCw08SwJmkKx6isVuqwBdZcqXdezDtZ4jV37hkR/jVV6BKtOS24k8aoRVwzhk21rY1WawK8I2Xl1mWMXP074qS/isiVX3364G/7z340bG/yer1Tp5rAa+o3d9o/PPrpX/7189vP1Im4QX58NQhe0w8hraAqHofHmwev87XN5eU9gyFNPay9nt5d5fnbb5fm2d3Amjz81wqS73KYqsCay+EuijksSgLAmtwOfaIwIb2oCLZBC4CXGVjmsYcK98TanAGUtIci758ENBKXL/Ah+uRCvqfamY1W6FomJCSkpiByJby7M7T5ScP796892J+P2HwuB9Bm05RbV9BJ+pofPvsm/GsCnjI7dGzw4knoa874gElYU9ihz5DLSj3UmTw6o9dZerOqCngzpOks4CtSbX5H1b2B4S0u4Ey2hr5SRR2z8xZYM2ZvnRh4sBKQeM0zgtfU4LiozWqxpDTIBX4aUG1rZhrFEoojrFnY3p6RcXXP8XN7zu28tP/Lnvv3//awe9y7Y+h3L8x7PQWeS9f++uWz0NcUvKY/HyvBa/ojpZVTR683WTwW+/BheAGt6gh5ys/vANK8PVA67vRi7Zx4zZUj2+UyU4E1l8udFPMIWAKC19Tit2jPa0CwPNTH8ZppmUkIk07JvLF1I8KkQ29zzzuv7jxy59/fwN9mw7Gbo06L2+WydMK/5rVPP4Rt0GxeU+hrzvHBErzmHEJZ0UUmy5TFviUvb7Rt4Oa97lCmezdv3rt37+ZAG8U4cpnIqSvZBokUYxIQWDPGbpgYbugkIHhNDX6L+qwMMGkvJSUjF6h7uRaozUwrUlZKSm5WFuDm38+d27PnzKEjd/Z/ev9ab+1ATadOv9kzeRm2QX85/bPgNf37eAle0z85rZRa8OVusTjsLrsdHudL4WEzlOkwIhwhDY+TQ1Aj3nqUVopkl888BdZcPvdSzCRACQheU4vfoj2v4kiFzlQys8eO2gxuZvJ1dIM5tbAwtzK3sBBWQs9ff+btn9+7c+nDnvtff3Xs9kF7Z8HU9IfMDl3oa/r3GWIPezzwRdwg/+S13Gvp9TqPzuQwTXmd407neCiTcwtaQ6uISGTxWkwe8uIusGYMvqEE1ozBmyaGHBoJSLzmzj0Zwg5dg+SiNKvFk9IQH89rwsMmq4tVdDg/ys0tTJ/MGtn3/PnX3/74Ofjb/PR+8VcNn3x0ddIyjbhBH56muEHCDt2PT5eENWGmIeIG+SGuZV8F7wO93mOy2XQOl9dhcXhD9/JawJay5mDEZzRKLu5F2KCYe08JrBlzt0wMOFQSUHhNETdoAYZQi/GWMq+BwPIwFhg11QbQVLBmXIK5MTdrMmXthQvnL8C7e9d5cJtvnsZK+rVrPXe+mDReuvbpP//18StCX9OvT5eENQWv6Ze0ln8lvB/0Ng+AIOhNqFMOIYMX3wezRRtoxT3Edh6E+9IR1mTB0MUqeoy9rQTWjLEbJoYbOgko+poTgtfUILkozcoAk/ZSUjJygbqnWhxrgtlMSzMYoLNpTkk3WysrM3Kz6rqyL55/5Z3P3v759IewEvp0/52nvjn6/oenD0Ff0xon+zwiG3bphZzadoRzSs9KhgagisNQtHbt2hdTU6VhpZpz3zr90cHOgs1PbtgQug+Lb0sS1hS8pq9YVuwR3ghwe0SIUK+zwNt66JLNSM40SbDogkFPfkCAU6RYkoDAmrF0t8RYQyoBYE0eN0jwmhroooKY6MppEJ48sAVGTbUVrAmdTWt2dlzcJkDOhPXr169JozjpF8+ff+XtQ0dO3/nm/tFr31w7+s0lHjcIlch0XfjXXODDxh7/XF9TxA1aQE4r5RT0NY1QpaTksVtCOWudxSijSj2xmuA1qXnS2gxlN6KtsEtAYM2wi1h0EK0SELymBr9FfVYGmLSXkpKRC9Q91VKwZlKSwQDfR9giwbW7gc50dXXte/2Ztz8+9N7pl77867UDR/95+ufnPjtf14hIQ0oSvObcH14Jawpec27xrLhSApmkskk/P3S2UE6fNcsbZO1TF0jUUSi7EW2FXQICa4ZdxKKDaJUAsCaPGyTioS/AEGox3lLmVRypDFbJzB6XpraSRS0CkXEMagJtZnftO//69Xeeeu650x/+9eu//uuFj99+hbAmq5UQF8fjBgn/mnN8ftkTn573Nn1Tt4iHPoeERJGQgJCAVgICa2qlIfIrSgISr7lzz0RWempRJmJUatXgZuOXwEqUxhgiUgCP5ItHcyyyfklAK33pgsfwmnKz8pV0THmsrjcyztNad3HfeYKbbx9681+n3z7+9utX9wle05/vAAlrCl7TH2GJOkICQgLJAmuKN8GKlYDCawp9zQUYQhmpLfVeRo4SYGSgcf4xUW35rHwlu4QOGNBMWoN9Y3bXyMXzAJtvP/fc8c+Ov75PxZp8+ZyvplNeaU5uNlJ7pWMlo0yEzWyV1jYoLgm2QddPn5uAbZA+7LZBgtdcsV+eYuJCAoFJQGDNwOQlai8jCQh9TRmFxcJeC+2k8S6e18wG3FxFq+QGQ1HuyPnnn7l+/Z3r1/c8f+EieE0pyYvn0lL6kslImaWSoaGo4hB26MvoO0lMRUhgmUpAYM1lemPFtB4vAWBNbocu9DU10EUFMdGV02A9eWALjFoLx+Qr6TKWMoE07yLHwWaCufIirISuP3/1/IWLF7OtkmmQzGvKkHOBzuTxhGevdKxklImw2Qhe8/EfdVFDSEBIYGklILDm0spf9L6EEpB4zZ17RoR/TYZaonqjBXLSQH2IPt/BU22VoJRxI3OYiYp306TQlVb43cwqTG/P2Hdh30hd5chIXSP5OkJiG2zlSxfoy7fnkB8pPSsZ6kIVh+A1l/A7RHQtJCAk4JcEBNb0S0yi0nKUALAmt0OfKExILyqCbZDP0zw40KBwT6xNFRnMOtSeEvn5JaC5HXIlDeCSi+Q91U6A9yJ6SUnGjVC9TMrMzIRzd54qs9avT6mszE1JSc8YyZbM0A1xcVbmZpNdTJcu0JncaXj2SsdKhvpRk+A1l+OXk5iTkMDykoDAmsvrforZBCABidc8I3hNFbhEb04L5KRRahHXjIFTbcRAV5NEVMrA01DEkqEo1Zqdm5WVlbsxpbIwPbcStCZP4DWRlfEpcjM6iNyh0rOSob5VcQheM4DPvKgqJCAksCQSEFhzScQuOo0GCQheUwUs0Z/TgDt5sBrAJRfJe6ptTpFSampqgplRnNKKuHnjRuDLLIKbqUCdgJpZ6ekZuVs3ZoHMRIxKqyGBbaXqDHIu0JncaXj2SsdKhvpR0xLzmiJuUDR8l4kxCAlEuQQE1ozyGySGFz4JCF5TBSzRn9MCOWm0WsQ1YwJUW8WaKamc4JSJyqzCwqyNWRuLUosAQ7duTc/Kzk2fHKlELpVYTRCaHGsyipMAp+A1fT+Gwr+mrzzEkZCAkMDCEhBYc2H5iLPLWAKC19Tit2jPa8CkPFQfok8u5HuqrWBN0JvAlERuSsqbwJqUJG5zY3pRbl3W2pHKycLcIihqCl7zsR96ETfosSISFYQEhAQ0EhBYUyMMkV0JEsiRUnIy5zVffgr6mhs3FlmLGIslNstGAlgpn5nMhlS8irIAM9cWrgW3mVVkbSxK38ixZnpG3VpA0iKrFXwnEKf0jmBcZ/RKpYjh5o1sgEDYBnPu66c/Oghf7k+G3Ze7iBu0Er4xxRyFBEIgAYE1QyBE0UQsScAHaz5ZcHDnzuMjl8Fx5WYVrRWvZSUBbv+j3a6lA9zmLLyKCtlrLbvrOFxLic5TDfqXX9q8XBZF+8LCy+1IKSkJayglmNtF3KBY+kISYxUSWAkSEFhzJdxlMUeNBHyw5mpgzaf2HKQ11UqYijC4ITZCArEkgcL2y62XW1tbFaxJvOaEZbPgNTWfepEVEhASWFIJCKy5pOIXnUdeAsoSOq2hP1mQt3PnnoPt4DWzc8FVibQCJYDbjj/GbGIfc4l4zdb21lYzozXXrGmtfIvioW8W8dAj/+UiehQSEBKYWwICa84tF1G6bCXggzUZr3l8pBC6e+QBJ+ZwhhhwqCTA7j02bB+qRiPSTlZ76ySgZusaDjaxhv76Hc5rPrkhXJ9iYYceLsmKdoUElqcEBNZcnvdVzGpeCTCsyc4yXhP6mnsmcmEblA2s+aJIK1ICRS9COZP+sY2xBGzc3g5iU6E1ZV6zYIM+7LZByXqbvqn7WO0o9pSSGQad96MnTggJCAmsVAkIrLlS7/yKnbcP1uT6miNZG1OLihC3kHnGEZsVKIEXU4ExU1+MxZlvJFITtKaUiNdkdugFG8KONYUd+or9GhUTFxIITAICawYmL1F7GUkAvCaPhz5SmJqK+NgCa8Yi1FrxYzakqAvowJvT5twvTp+Dz6MI8ZoibtAy+koUUxESCJcEBNYMl2RFu1EvAWBN8JqHntszUpSUBFYzTeMuXGSFBGJEAoYUSVOTE5uc15ywgNYU+ppR/x0kBigksEIkILDmCrnRYpqzJSDxmh/vqTMn3U3LzrwbI+BCDFNIQCMBQ4IZZKa8hL5mjbn9C/g86iwoEPqasz/zokRIQEhgSSQgsOaSiF10Gg0SYLzmhZ3P7akDr3k3LTPtruYJLrJCArEhAYMKMynHfbnTGrrgNaPhW0aMQUhASAASEFhTvA1WrASANSlu0Me0hn43M03wmrGBrcQoZ0jAF2tOmy+/xWNUbg67bZCwQ1+xX55i4kICgUlAYM3A5CVqLyMJMF7z4KGnGK8Jdc3MzBkPcXEoJBADEvDBminm9i6+hr5Z8JrL6MtKTEVIILYlILBmbN8/MfogJEBYs5N4zTqrgZCmgJoxAKzEEGdJQIs1U6Zb25m+pkXoawbx1SAuFRIQEgitBATWDK08RWsxJAFgTX3nhTOvXq+0WrMz4zLT0pLixEtIIMYkkKTBmmZgzYzLiBsEfc3OAmGHHkPfRmKoQgLLWgICay7r2ysmN48E4uPjkxEPPXkzeM3n9lSmpFpfXH83E5GDRBISiC0JGKwGs5La29srJ4jXPEi8Jt7gYUosPhDFCRJxg8IkYdGskMDykoDAmsvrforZ+CcBYM34eBjqwjbo5Z3HMybXtxempxZlZZnFS0ggxiRgVZFmLpBmxsTlt2qJ19y8GWAwTEnCmiJuUJjkK5oVElhuEhBYc7ndUTEffyTAsGb8hif1sEPf+dFE+8bK3MKsrNYUkYQEYk4CrRQ4SE6Tk+0ZX5x+lXhNMJv+fBYWU0fDa4q4QYsRoLhGSGCFSUBgzRV2w8V0mQQkXnODXj++/eWdbz1/9erzF85fFUlIILYl8I+rB6++9cWr4DUZ1gz3GrrgNcX3qZCAkIBfEhBY0y8xiUrLTALAmomUNrwxvvPl/Kc++ujVc+f2nHv1uaeeEn9CAjEngY/xtsWgKX105sjLx+6cu9z55OaCzavD9bHV8JpN3cdqR6G3SSmZlYerU9GukICQQMxKQGDNmL11YuBBSIBhzXXr1g1tcJbe21n1cv4nR15+7b2XXz5y5GXxEhKIMQloh3vo5WMvn6kathQ8uTr8WFPwmkF8B4lLhQRWkgQE1lxJd1vMVZaAjDXfeMNbs+3wwEevVu18aufOVz8SSUgg9iRwTjvk7qduHx6e3OyBuqbgNeXPu9gLCQgJLK0EBNZcWvmL3pdGAjLWHPq9yet12O12xwcfOByWDywmS6dF/AkJxIoE6P1qMuFtKyfHpHOys1Nf0Lm1s2B1uNfQBa+5NF9folchgZiTgMCaMXfLxIBDIAEZa/5+6vfff29q8n7Q1NT0wQfEBYkkJBCTEtDr9DoaeCd5O/JYJi2gNcONNYV/zRB8F4kmhARWggQE1lwJd1nMcaYEmGkQ9DV3AGoS2HQAaTommwoKdHiJJCQQaxLQUfLoCjwF+tWrVz/ZOTnZiTX0cPs8ErzmzC8WcSwkICQwpwQE1pxTLKJwmUtAwpo7GK8JtPlGE702PEkvZlErNkICMSYBvHWf3FDQ6QHW3IwdMZzhxpqC11zm35NiekICoZKAwJqhkqRoJ5YkIK+hg9g81UTE5u9vAGy+gYf1CkjEfIUsLQDIIiNK29AG/rIh6dEnwtzzpB+KvWQjoTF3XNjQjJgzoSf1T67WJ/sjT1unm92RAlCOwJp4n4cl6XUYl86os+lspu7a2m2JdKjTx6M8LP2JRiEB3NjN+pwcnUWn17uNQ7JMYul7V4x15UpAYM2Ve+9X+Mzpqzpx3bpTTaeQvPTv3bBB/v5eBnsZsMze2zaHMBXoGCKaaxMZIa6j+3fq1A6koaF16FN6X+fkDLljLw3R7aK5IK3DP6FlgpurV8+LG2ffYLUkXLfA5tbZhtwWIwY3VVVbW4p+Et1uW7xtSIFA4ep65bar10OzY/VqS43JNuR1udldhjRW+Pe4mH6MSEBgzRi5UWKYoZYAPbMS17mbvBxoMsCynJ5jKuCYmbOFjNREQwvwmpGRJiEyYLIdQ1C/XUesmvRGAdbEqSH2F0M7ulk0EyUxYnMhrMmjEsy8yew4bHfAZgS3pjMRh9oEXpOwpt7tFrxm2ARODYPWLNics9rkNOncTVM75Dsc6i9G0Z6QQDgkILBmOKQq2oxiCbDHAcbH9uvcoDMZzDzlOnUKISuXUVLQyswMRy/LZaaENeUZSkvOEpa2JdqwDk1/2IAwjIUjeSbKXp+8WnrNe8Pm4pR52byXBHvCZvQkr9Z7bBgbraGPYoi0hk76myKFTQJYQdcV6I0uo9vIWc3ERHyLRfF3rRiakIAiAYE1FVGIzMqQgA/WtNnW7Tj1O8AmQ5zuEK4tL3lTePbPk2yhHBtWTedJutWh7GfetnTEaUqJsOZm2F/zpNMN0R9/2WLiCKOkJE2H1BNo+ZyleQWgXwBrzntRkCc8ZIKkZzbvDGvG0xFhTXBvIoVJAjD22txpKVits3m8AmuujKfVMpqlwJrL6GaKqfgjAYY1GR2ADRb+oNU3RVjT5d2hC9NDYkmanZ9dsYVyPLohSHDOV4SkqYBdBswKNFizAGAIf/IrFo6kmwaTG3rJy+cLg3Z5fnPtQ3mntW0VeHTgNTfrMbLOKsRDxx7KhPocATW1UgpxvgBurDpdnZthGeRtcq8Ta+j+fN2LOtEiAYE1o+VOiHFESAIy1mSLT3qTyeYxmdxDUw7HKTcU71dCmh+FLubMvKyaTMiFWaTMZiZHSmHuK9LNy9OifaT7Xri/zXAUzwGm6aNjx0ZBJhMgXvgacTY4CZDPV/jo9+TAA4DXK/Q1I/TAEN2ERgICa4ZGjqKVmJGAL9Yk6giLf0NDv0+ZKKjfSkhY6ozEK3JYU4VkBHg0SfZ+FDP7GW8/dWKLwpoaSYQ6C0UF5u6+s8D00SefENbkuguKAkOoOxTtQcCdOQWmSYsNLgDcQ8xjgdDXjJnnzoofqMCaK/4tsNIE4Is1N3e6nJe3HBzfcvnywYMTW/AaZ9vY3x/cMkET4v/jE5iX8rclMiki4txy0GcyOFK6hQQw/Vj6w4C1CVPRJMxrzvfmQYgA057zj8mCSySk24MT+LQcvHDw4IWJgz8/fPjRZRo2FUofopB2Fq5JxFq7BycuT5oKLBaPR+eG1wWxhr7SHl2xPV+BNWP7/onRBywBX6xZcHn0i+4zh46ceercU2cOrZD0cihTx8vzvSImzZcP8dch7OlPTjtjL8lDn73XzGvGSXaGz3z2dkbdUB3+fOjIoSNHDh36+cyZLz/99M5Thw7Rp4eXhaoP0c4MCZw5N+wqsHR2CqwZ8Le+uGDJJSCw5pLfAjGAyEqAuSNkgBP96ldf/uLMy3hqHnnu7aeeo692GXDG+P7MoTPPPYc/9o+dNh06E5HERBluMaKTM9ul6VBeuoHU7ZlD2knHah5zY/NS5+bzHuUn+fuWTz4i2+f4e+i5M2eee2o/sObbZ5569Sm6DWxwYhseCfyc/9TBHKgu6HWWJsFrRvaxIXoLVgICawYrQXF9jElAcn0NtJmcnLM6ZwtITTwmPz5+/Z23j/P0znLZf/bOO+/Q/3H8faZs5OlJswxyd+74R8c/OncOf7P+IyNGdKxJx4+fo2755jNK52Lsn98yfus+w2377NxxPj8mTvnm8b18JEk6cjvIl95Ve2gA//7mm5+vv4PPz3W8zUQKnwTePnIs/x+Amjl6t8srsGaMPXdW/HAF1lzxb4GVJgBfrLl5+Mih410sXTzfNdI1kjH7b2ZRbBzzSc21HcmYyAjlXwZLaNNnj4OIiHNiBC+WsNP8oRgjyKjDa6QOuej/x2Dx9vNJF+ktiUldwNTwxhzpmtC+PXkRiie6MNk5XuwSuizk/yMjXRn0unDhwpv/fvhZxgXpmA8vDB2GYxIx0yaX6oU9Z/L/kWMyFeg9doE1V9pzK+bnK7BmzN9CMYHAJKBizfj4nJyCgy+fOX556/T0mmk85FvbW9vn+JtZFAvH7e25ZjlZKdOIrRUvc6NcHPp9q9Qk31e2tk63t7dXtrciaeQacvFhrrntje2tXegNqQsdUI+5RS+u1SY6ivZ/83S7ubUxu8tqXmNOs+Ju8fm0tlZCgCRFjfBwSH+s3EwynpXYKZSGfE/joNTeVdl15NKz7+DDw45pgHQq5B1SXyv2n9/01vYvnjr2j5xOD6KDer1DUWUbBG8eUEiSHMIiG7rE3LDZPNQmolMo7VKxciAysSABgTVj4S6JMYZQAqptEFbRVxccPPTU9a7W6TVrfbhkwAAAIABJREFU0tasmTabU8zY4C+BbVlmDZViI5+IgWMaq3kNmxOmxTJWK3LWNJQ2IkOlofhnjasbapIS2zd2TW+anm7syoXomMwwKC5GNrzQiDMFEwWyZX8c7XRlVLZPEzCpzM0tSs0q2pienpq1dlP6ixuLUlOL1kbp/8YXU2l8qelbW81b2y92WekdSWLET4Pc1unW1ssE49fgfbkG70YSIM0cie40iTWiaZp+sLCe21tzX3j2petAyClm3Gj6LcPKIzqc5d0Zlydt36oC1ty8GR7z9euiDGsSzNQZPbQlN3KhTPDP5rEAYOvhDFl5DugR6kA5EJlYkIDAmrFwl8QYQygBH6wJXvPQU3u61nCsucawJsFACU90NWNOSFiTYI6h4xQa/BrzmjQD/RmSktIMaVZDGs0R5Oaa6elQoEwGJ9OAKvmL4KVUxPaUT9m0fv2mhBQAeYImGFQCFyPLKXIORry4X74wq9XcntveOjldOTJSmZGblZ6eRZu1uWvXbyyMiQSKtnV62rx1/ZrsrmmgTUOaubGRQHR7O6YKEeLF3pu4v3hbUpbKzZTH7wigTs2GVeDVQrs14IYaDACWa6zmxhdeevadBGBMOkygcror4hUyCdAdxs01TDe+deZYac7m1Xp9PBwCRxWvqTO5XEajB1hTZ5TirPJoq8FvCWTqTCaTxeQxeZTnAJUqByITCxIQWDMW7pIYYwglIGFNeKdDbvVmzmtyLi6NAGUcXiwpGX6onojyYzZ82iTJKS7JsGY6bhNmZ00zJGyKW5MmnwlyvyZJgpoy5NTsCbGbgTwSkAxWqyQ0ki9PoRAvtQUAm0JgC68UcH25lZUpW7e2Qz+zsrKyMKsyoxIlGZVZOIqFlJFRWQmNgNbWhLqL63Gf1kB0WSnpwJqFigSRkYXom5XK2UlNDe2FocqzG4qbak0hXvOVaRzzIqt2bKHqbWW3I99K81tYQydaE2Hnowxr2kx2l8mjA6cJrBlasEmhZ20eI9AmaNMQPgdEUxGWgMCaERa46G6pJeCDNRmveZzzmqDiZDxJOIi+4fle3sbKsTzspDjplZS0aevWrXEGK4AZNmmRSdbG7Lq6uuxGYJCETQmyENV98OJkd0jBIVhWTklJz6qsy21N37p1fXvWyIWMkQtX912g/xEYscRGmpi4evX8hey0i3Vb49LSkgDnrCnp6YXAmqro8N5UDzRZqZyV+BSrtUOTw6DQF2FN4jVfeiWBfksQzGTloelDtOIrgTW5jNdcHY28pj7Z4sDaOWChjq12E+0YmqQzWSx8Vd6mE1TmUj88g+lfYM1gpCeujUEJqFgzMTFeX5Cn0ddMWyPhSzw0+dNcfabHyjGNU0oKaQleMz192pqdnRlHgDMpMljTwDUKATkbraBU+YOTDy1U4kU76vM4wWA2p6anp4DHrKy88PFL73/66ft4ffrpX/GPPe2i/f/TT7/+Gw35/WdfeabOmmYF1syEhVB6Sms7KGJ5ruwey/IkGSh3Gj8ukOSNcoF8Yej2+AFBbyVgTfCaz76zCRiT4CawJsrD2G/oZhArLamfGCvpayLofBTymskMa9pMJqyZh3ZtW0+NArbCNEhAzRh83KpDFlhTlYXIrRgJAG/yCG85wJpVx7tgvMK0DNlDEl/u/DnE9/J3vYqPqIRqyNvoOp7jUY8Bglu0NjZC2Q9gIFJYc/2mTdDYTADGbSRRyWKSH/KhEB81y4AW6yDBnNW+nsBmRsbVl67d+Pzzd5FowzJ0EPUJY67AeD+//94r+7Kzs6GwSfcuJbWw0CyJUBKbVp4KgQ2QSVy2smEyD8tG4TUTFF6Tw0/iO/nYwtLvimtU+bTEGczEa65evTo5+vQ19ToHeE2Pw4GlbpMxeCVNtQWPx2QxGtGkCcqgwJt4RkmE6Yp5Wi2TiQqsuUxupJhGIBKQsWYi5zUnADWZ1S89yTiKVDLKd710ItqP2ZOeD1J+LrMZrccq+voEQyM4xrjIJMBaqzUBYNMAlEt0FxsHtjzJR2o5neFHcu5xx6iHCwha8cbNlRdzC7GQvnXy8un7Nw58/T6lr/CiDe2j/vVVzzfffPX1gRtHn32lbl8dsCYtohtSCWvKouHCkSRFsmQ0pkRtypQmIzcVaaqXhioHYEkDk3nNOLPgNcMkbXqL838r19fEGnrU6WsaXbAU91gcDod9S94WeyiT02l3OfAat1s8WKPH1zxBTsFxBvK8i4q6AmtGxW0Qg4isBBSsmViQ18F4zek1XYCbBsMqenivYi+eoy0ldkLaRvMxxsmHajCkSi8Mt8gKH32TKWZrrrUoi/QaQ5fgqGe+VGTF8jmWtVOLgDV5orGFTrxsqhLKYu3nwtFRbuHGycncf137/P0j21/t7u7+6KPuV7H56FX8R31iI33t/c8P/OXjfef3YRk9KSnTCmdIhYWSAGmnucckS9UITBKFtJPfB5orQ5a1WtE6YU2DxGsy26BVBmum+v4LWWcruiG6i/jHjWb6mtHJa+osJue92oaGhnL88x1yIfmTWivflZ/n0BmZziZBTQE2I/vIDL43gTWDl6FoIfYkIK2hJ67T0Rr6BPnXJGozYT7UFIvlGzUpK/fihbq63LrKrI0boc2YmxGyF7DdPAmOLa11F+tyU7euT7VawyZBhrRWrVrFOkjfujF3JLdypPLCS1+/+6yzs0C/GU+lzfoCvX51jn41cpulbbTtaWxgrN54o6npjYNH3j3w/gvPAGum3U1alVlUVIRbOa8ADat8IaZ6ZOBCmffKxZ8wEP41FBlSranMDj21qAh/4F+pXKTwSKAoevU14fvy8GDfieob1Sf7kU6ePIn/0PxRa2j25IniKqfRQrqb0ip67D11VvaIBdZc2fd/pc5exppD7ryOMwNdcGVIa+h4Vi6jpIGaG9Mns+py167d9/z5kZF9zz+/jV5XQ/FHbcz3ev5i9kbgpBfT417MjgzWhBPNXExzMnftyEvX3r1z2aKDXWzB5s06XcFmEELRnza/4fV+8GTNTmDN9z4D1sy+u+rxWHM+XhPL7+F6O7+oYM2N2eTzKF1gzXCJWm03660zr5G+ZjT617RY2oor+suKHwwO9gyGMj14wJusP1F2rNRpt5hoGV3wmjH44BZYMwZvmhhyMBLIQUqWseY69/B2xmvCb/Zy5jXTJ9dmrK08/8Kz//7Xe3cuSan50qXg/x7Krc3aP/z3C6+MrE0ntssAxKk+M0Ob8+E1swqzstbSXDNeuv/uHaelIMfj0W3Wewp0dNujPW3OWd3U5PU21ew8cOCvz378zPm6zLS7WJcGrwlFhPnSEvOaWfDl/pnAmvPdnRCWF5G+JmFNYK0o86/pcZjaSioOlG/fvr0K/0rqYLmgth0d26u6uzt6q1tqb+cBbJKdu1hCD+YJuETXCqy5RIIX3S6VBAhwcKy5bt06xmt+wdbQgTWTQvhgWPqmtLxm4dqMurXPv/D1u9WfI9EyF5amPg/y7+TnaKIfzVGbs9ONz6/9+5WR9FRi114MG8OW6oM1Aco2rs3KuFp4GWvod+xGBLz36ApycvR4bY76V87q1b///nuTfVv+u+9++u83P3umri5z1SpwiFhDXwBrLimvuTaLeM1NgtcM/wcevGa02qHrTLq2sgMlA17LlMPimDJNWejlNSFnWtTWgutYM94pF2yDvM7a6vqzN0dr7A4KjQ60jZdIMSUBgTVj6naJwQYvAQlrcqdHNqav2dVO4QDT0sxYdVw+qWjt2rWkVcdSUW7l2uffbPn83aP3v75/v/h+SQj+i1kjxWhpzteBz999/7N9lfDqmZkUxxAnHsdhFi898FMQLGjtxJ37715yuik8c45Ol6PXRzunKY3vDWDNprzXDrz79Ydvfgy3R3eTQGsaSB1yXsmtmh9rhs86SLFDN2QTr7mqSI0bNO9AxYngJMD8a7I19KjjNRGevK2kpbhtyI0gP2AdEewnOXkIvoqQj2cr3oFu9XqPEWGIYHnuNrrdbvux6gMNVYeHa1xG5tmdqM3gnwWihQhKQGDNCApbdBVdEnjyySdXs3joE+1wO45ozmtUs4rYz6US1sTKNZuJIRPm2VffPPD5px++lt/RkR+a/3xqSHnJR3z/cv5Xn797/9W39l2sA4qH2xZu/T4vLlq0wBljCr8wrIE4ig++EfHPR569/+5ZJwwJbDk5CDgCsBld7735RrPhjQ1vvLHlSMW79/e/99wr5+vgERUOb8juJvSSC0jkvs6S4M8Kt5Ts0FM5r0l+BiT37tqaAXUhKpMEtOLzzcv6mlHoXzM5GVizvviwHk4wgTt1OrgnshktFhPzT8S9FPm/Jd/tNvjVRCMAnHTgtudXV/R2DJSO20065vlIEJvzfYVEa7nAmtF6Z8S4wi4BjjV3ntkz0o6g2lbSe5OjOi6DvUGLNRG8J7fw+ZePHjh7pcYOj3Wh+bdTQ9QU/bEsHcrZ2op3v37q+t9hTA03kZm+WDOE8jWkpqSmkJNJ9oIzT3h0zyocufT155dqwGvSk4p4zRjBmvohvCsPYg392j8/ee6z89lmTCguLjWTsGYIhbaItnw5OYXXRNygl559BY4GKEoA8CZtlLS0I47N3udfW2H+NaNTXxNY8zBhTRs5XDe5gAeNFgewIn3uAn5B+TNZ7yHf7bA7NyHmZbJN5wLW7Km915bnRKtkix4rH+iwP8VipgOBNWPmVomBhloCEtZ8as9EYQIxR6u0TrFjnmTx4TUR6LCw8K33Wo6+fPDJAqLO8Bf0P5pgjUjNsUNewrIvt1TcP/LZK+f3gdfMtPpizRBKdyavmcmxJvQ1Ga+JpxI9m2Ll0aQf0m94cpx4zQ9PP/fO+UoWwD6qec1G0tdU46GT23H1FcL7vFKaUoU3MyfHDYpCO/TkZDfDmozXNBIhaUS4H/axo01gyWYy2jwgNHUmh8vkYYB1CFizb7C5amC0xmEEr8nxa6gfCKK9cEpAYM1wSle0HdUSUNbQR4A1U4E1ly+vaUBA9MLrdw60vJy3oclTUGAr2FCwQRfcP5qA30odtVTwBmVZwQa0TfmCgo6jFddee+7tZy6mgdi0JvmsoYeQcprJaxokXhP6mjXgRJCANWOGBgHWfHLDlk8q3r22n2HNaOI1tdgH/KUSDx36mps08dAVqKmQzYtgUUP4Bomx3sFragWt5g2KvibezVFmhy6voTNek33mCBDSx46jwoC2+MQaQWfaTAg/ZLRBPxNNOYA1i8vzb5eOu0wSrxkjKxVR/QiM5OAE1oyktEVfUSUBYM0nCw5iDX0l8JoJ6znWPFjwwQcb9BuYBj89FBadNuBKasinKVZow3bDhg0dR989eokMXO4SsRkpXhOB39ka+ktff37WSViTeE32zIuq9958gwHW1IPXfPfd+1hDl3nNTVGir6msjdNauaSvaVZ4TRl+4gRLhJJWChkZwnmS2OZKUR0PHYZAKq9JgBMfOpPFBX3NwMEmPrEIfu5BxEusoDvtcKhp08db8qv7ixvy7x0ed5g4r8nCVc73MRLl0ScBgTWj756IEUVIAsoa+kghPMosa17Tml2UUnj9NNbQt7zxwQdPbli94UnwZ9I/O0Te3z1d9+RjMeqTHfXvHn343guvnE9LuzsTa4aQtprBa2bKvObX4DVlfU0abITeVEF2Q1hTvyUfvCbW0K+fr4xiXpOMgXg8dFpDV+OhK7Sc4DUX8zZfiNeU/GviLRKFvGaxZBuUrDN6dDDqsSCKuQm25AEnOI8w2nRGhwO6L3ankXxJgNe80VfScKz78LgLBZR0sHQXKYYkILBmDN0sMdTQSkDCmiuB10Rg8qyUt948enTnOAI2Bvztv4gLCt54ueXzAx/+683PgDXT0iJphy7bBsUqrxmPGJUyr0lY0xA9vCZf0QXtpuU1X+L6mlpek6g5wWsuiu3kvCYXtLoleUaxf01mG9Qi2aEDa0JbE3ykXm90WcBQBph0IEXBXTITdKZrrdPZHB3Ve4vH8oE14WCTuFKBNUP7MAx/awJrhl/GoocolcAK4jUNjdas3Lc+aTmav62ziZnKEDUQ3vTygb0HPjwNrJmdnZaZ5ruGvhjCZ55rZvCaMNvmWJP0NRVeE8+mKH0TzhiWymvuf+8M1tDNm6LHDp2jIA4iZWBphR06sw0SvGaI9EIlXtN3GZ2JPgb0Nck2iJRWdB6jw1l6u2o7DxmkxBHyKwM3aturbpfaPTAOYsBS59Exfc0GYM0tFBGdwKbgNWd8dUT7ocCa0X6HxPjCJgFgTdLX3LkC9DWTkgxZ7dffaznw2j8cnRyBhRdoYoWeeM39xGvWEdj0xZqLYnzmvmimHbqirwk7dFlfkz2dwvY+CmXDhDXBa/I1dMKa4eQ11zR2zS3TOUo50ORE2wxeU7JDl+GnrG5IdedoSBQtLAGtoLm45RLYoX8SpfHQZZ9Hkn9NUJqmmpu1vRTLHAHNA0uDxSUlDwZ3Nd9zOlxOC4OVEtYsz+8uHbcQX4oksGYov3ci0JbAmhEQsugiOiWwgnhNwpqV1z850PLJtoIC/l0d7i3DmozXZA42fbHmPBzlYqiheXnNz+/ELK9JdujM51FX6qL9a5oXFmbjt//57gmkR//5zb+bwflMotsI+wBYKvqaLz37TpxZ8JoLy9vvswqv6Qs0geCjm9dUbIPgXxMqlXnbe+v791bU1x8IOLW04Kq+/rKGNrvJQdASKjySHXrV4XGvhDUpMpFIMSQBgTVj6GaJoYZWAsCam8FrrgT/msCahbl/P93Skn8wYlizQ+Y10xA5KDPVx+fRgtRO5k//+c+Pmtd/fl2ouj+8ZkzZoSfrt/wcjL5m3Kpfv/3+EeHI7//z0zySM//GgCZVAtz87zy1UPzrf2anH+biNZkvd+YGietqckg6f8PizDwSkFlMmR6WMX6U26H7+NfUWcY7dpWVlRX37OpdRBrb1dtTXN9S0nzFAaxJH17Z5xGwpgXqnMyhUoxoxYT2mRXDrQmsGcM3Tww9OAlwXvPQzj0Zy94O3ZCZmt76FtmhH9zg0c0rNnyps292ZZ8sH9L3PRI7nvdynxNPdrS8e+Cfkm1QZlqmD9ZciEpLSnrEIJC6+XbVqvlpofl4TcQNIhtWJO7LnWX5CFkWG3U2/KRcrpyRC2QpyHt+pSosud58+5liRD21yEdqXF9T8q95/XzXIvQ1u/6jSu6JP+aW3J+aKk888d2vctilWWL2rShddZdsg4jcxF7W1+Q0J+M7ZUIOKGlWe6LkcRJYiNeMDTt0vLtrtg8eqB8rdTlGx+EkM9DkGh+11wz0HChrrnEAVtKnDrzmXvg8qmobh3U6TIfok+bzwREH0S4BgTWj/Q6J8YVNAgqvSb7cl3fcIMKaha+D14Qv9wW+pOkLnL7FkWhPLuz0Jg/MQPk3vhEoVW+aH6r63KkNOxmv+cJnz9RlA2r6rqHPw+mw4jirhnNj6OZPeNmfN83Da1I8dObLXfavCbtWj/R4kqZHR5Iw+EnmXYWdZEgQSmhkh4DnGjuky/VGI4pILjajw4Jjeuixf3r8wSICh0hGPBCZAHEMk1ys9klnYNLgMCH0ngVC1MFSFz5hpDFJsqPG4g/+fAAxKhVf7oHYocet0jKWoDbnklvcb0ys//nht9/+YLKesxZdafhDgpc+uxm8JrND9+U1UYMttc/VuyhbUAJaXlObjx07dLz1S3vL6puv2I1Gu2PKG/DL7bV7Hc7usQODN50cVs7Amlg/Ryc+XzfiINolILBmtN8hMb6wSUDS1ySfR8vdvyZhzRTiNT85iFnPK1EGm/DtTkwg8CXhIB3gEJLRiFIToJPH4pn3ct8TtIb+z3+9ANsgChzkizUXIneSkmZizf+lLcCPJcyMhy7ZoX/9+R2V1wTwQywSCQnqjCYTrFlZ8DuYzBKQRhGdhLcW5PnjjXAmIUSdhzAmkoUiMVtMuJg8sugsLgdE4kEtugCmsjabB6cQxxmGEaSxptfBJ7XOZrI4jB6cgTipIp6+eniphjg9Fh015ws246kn5l8TduivBM5rJv3EUOGjP7797Yc/v//uiUcIvDr79QiVHv2aaYVcu76nC36dsxpitv5AZ2ek7xjWpI3Ea1LcIH4oeM05pD1b/guV+PCa6gJ61OtrtlE8dMkO3dhd1lLc5hjSud2L0KrEJyBeb3PXbK8oq83D54s+fYodOvGaPPl+24ijaJeAwJrRfofE+MImAaAuskN/as8K4TURDx285oJYE9/iAJfYwhczghoDa/LvdZuDwnUAWNn8xprgNffCDp14TfjX9J/XjEu6C2zzfZecGrsaFzRnnofXvIR46AqvySfBJufReRzOGqfTZENQE8A/Cm5iInxIyWikCVroEGFPWIASG50kMaCm3YJCnd2pM2JHuFwHcEmnkCWRQT4mlx1+WgilA7iSLAmWOuyIfmJEQls23hdl2WUA8No3OGHN1eNHwGuqMSoD4TV/JVz43W9JqzLTrHfvZv72vzkoYQOrxFU515j/R1f8Bqw5V0pr7PqVJWn3KyHTHxnWJPBDWFOKG+TLa3KdTWGHPpdMH1Om5TK1eUNc7ltPvRa9duhtsi93/KpzdmAFPc+Gz460bqB9iz8+zz5NbtfNsrKxNlo8wGcLcYP2IkYl+ddkWFPwmo8XY5TVEFgzym6IGE7kJADUtVryebRieM38BXlNACMt1iQsRiQnVtEBwHTkYRnLxMQ0+JOC4jW/b1zDNQ3XrIlbs2Cc+vn0NeFfU8NrMhUvFvzOZrOX1tZ2jNssRj3YRhCagNWgIBGCGRMlkA0aEnMFlUtPNRtRnZRMNYc7Si0Wo85uB3nJ5OHBtXQSl+GBSOgc0mOcJV0AwKlHDVyZN7B9exVSd/ftUTvC71FrVA3CTdZbTFphEtbkvCbW0Behr0lYEIwlwzNxSdBznYNnY2Tld1Y6RYlY5B/S5qoI+m2NIW7Vqk2rVq3hO45SM5N89DVfehZxgwSvOYekF+Iv5zs3P68Jn0fH/rF69Wp6s0Vh3CCF17SZxmv7Ss46wUY6/Puq0H4CJPUVrAeUAr3epiiXSDKv2Ua2QVLyvUocRbkEBNaM8hskhhc+CRCv6SFeM2Nl6GsSr5m/IK/J1owZfoI3ZgJgJhBzAFYUnhiJtPJp/divB8iTL8M2iPGa+zID4zVXAfx8Lz+5iZebm3NjQAkqhalIUA5kh3EJBsm/5rOIh15DjyWurwlakWChjp5UNd0l9b1tNlCTeBbSdJBoqdtCIJCpaHpwDiqZHiwAMrUClHtcbbXF+XZwoERO2hwulwlql+xJCDhKTRgpUgoW5EndgIAm8TFYeNfbXAO1PcXFxYO9vbvGjg04HTQGrMAbiUadC2vmHASvef/LnykeemD+NVcxRUwyKyckwzeSmDQ767cQ8HdUQLUMhDV/05yekQXIXLUqDi9KZHb0CFATWHNBXhPIU+hrzhCkn4daLlObN6wBr3mMeM1kLDFHH9ZUfB7hs5TX3F/cAazpsvv1VTHzK54+OB6HabinvqzbxD5HNi+3DRK85kxZxc6xwJqxc6/ESEMsAYnXhL5m1orhNY/kJS+gr0nLvhYkUG4KewD4xPMEwNhTQDaxeczt0PKaVmuS/3bocUA/j3xMzxkomocIWojXVOIG0STAznoQiMRmGc4va+kZoBVskJl2p4OvajPmE5ATiDHZyLAmgCnXISCG0+Q8W1a9K89lIYxJK+IAnGwVnBbLCcYS4jQ67C4QweiMwUiQmiY4ozYN5z+oqK6uGOwpbmkpOVYKvI6hQJiskq+fQInXfJfZBgXMayYRrQlLKg04ny21pCSGSLsYHE3iCp6/zm2uzi4moEk3APsuNP/ED1aGNTmRSXboUoxKWlIX+poLvVX9Ojc/r6n418SnMPqwprKGnqz3jJ/dW9wB77Z49z/mS2Ku04QuaX1gGAZG9/DJoh9tCq+5RdLXFKZBc4kumssE1ozmuyPGFlYJAGty/5orSF9zYV4TFtL2GrvdaXfh3wlXJfRvt7ughGjCGjEhKopT7NcDRGOHnpZm9V9fMymO6WvK4IfYIA10mk0OzcNrvqTV16SnFbAgFACgCWAZv7mrt3kbgCdgJdAhWFtmtYNnGpa8mbYqpmqDwiaITopO4iEFTntb8cndJVfsZOmD1XcQlwQ3acevhramTe8avnfbSVwnAU/AdhPxmnqds7unf/etA+W1DWX9N4rzHUYbREmWREyz00eahDXjJ8gOff97AfOacf8lLEixgBg4ZNvZAouzMhXNb3k1Zhv0/RxanfKF1BS1BCCZ8Cea/64LaOhxvKbQ15TFF/Bey2Vq84YEK9bQo5fXbCuR46Hrh7ac7SvO34KvDHwKFvMVDv1MqEZv6ykru43PA9IsfU0qXEzL4polk4DAmksmetHxUktA5TVXjh36wrym3ugcPTy+ZTgv73DbldsDpW0DV9pKD5eOlpbm2WFqje93PD1Afvp157h/TW6HnhYor/l9mg9eUrHTrJxfvCbAJoxyJK7WaM8brrG4YbEDzEjPLJiEY0UbHKYDrCQdA1HrLHa7xaOzwHLHaAfNOXq2b/fT9R1b3NztETsPrIpqzLk0NQ9Fy6pdY1ecDNkSmATgJF5zg35bef+tG7vyHKPlfbdO9iLMHhoEysX1JuBZrTQJa0r6mseegx16YHGDaHH8P+Y1hA7lNEtedOIR6j26S9UaiQl9YkFDf7TAGjHENdJy+5/kWdNHX1OKUSl4Tc1bdrbY/S1ZiNeEf83Nm6NVX1O2DcLHZ0stsCaL8INFgkUkPWwR9ZbDg2UlA/g00udJ4TVlfU3Bay5Crkt6icCaSyp+0flSSkDwmrOkb68qf9Db+6CnpweBjAd7ewaR6+nZNVhcewVoDN/6xNP59/xQec198HkUAK+5ahUQjY/HRw10kiGUup+H12T6moSOSV8TYwaNiR0mAIt6tx0L4cRbErIvnfMiAAAgAElEQVRkNQgW4qQHLCdAIpbMaRUPepnwhgleE1Smq6Psxq3/q2jegiVxQESm3mnyYDWdaqF5mK9Dm3W0tr6sY5xaQkKHzBIX+q63e07e6hsbd4zXVtyqHsyzY6UeDKrDQ2MgzVA1EdbkduiL8a9JwPEHEo0KbFRByTlIky2i/5mUtObXR7jiiR8WMvSnpqg94EvmAOlXsJq+vKbwrymLNhR7LZfpm2+XeE1yCRSFa+iybRA+OuPNe4vznfRBwWdhEQlY06K3tA3CNgi/AdEI6Wv2wZe70NdchDSj5BKBNaPkRohhRF4CEq+5cyX513wMr7mluaSivqylrASvspJi7OivpKWvpwNrw/jWd8CppJ93qgM+j2T/mgHxmqtAn33fqMIljnU0+El7Ks4/XpP5cCL8t2Xb4W3jDpNjS964HSqXtHpO9vWkZImtyenyAHECVnNETZ7XCXs6to3195/Y3bcrj0ylLM680m3jFpM9D3wv6X1iTZywpqetYe/eY8NkvI/kMZHVPiyAXPbtZdW36s86XaPNhDVBG49uG7ZbjA5nKQhWrNKrSeU14fMoYH1N4h3/m0bgUEk+smIyxCkDgdLv/mumNXEYBmXTJfO96AQ7ZzA8QuX/cKMfbTx0wWvOJ7vFlC/Ea1ZFM68pY038ZGO2QXaKaODvl4X6CeAq0vCWZGkrLiu+id+2lBReU9bXRJn2GpGPegkIrBn1t0gMMFwSUHjNlWGH3v54O3TjcENxydnuqptXbt/rhoeee1X3uuGqp6q8eLDWbmJrWXh++Hc/VF6zLg3OHn19uStQaHYmLimNbIP+99NPv/3vv6R7SKzaAmkeXnOGvibseEhD0l5zr3ZsV3ke3B41lHdjkRyIEBboDFGaHA6jkXImOzZGhgFpsRuo0zOeX7y3pe/pk4N5OOkYryrvLa8ar6lq3lU7AHeaWIOHeqdO725rONmXn4cmyZwdCp1gL3G9CUuKJ6oHq7yO7uJq4jfv1TaMlV+pcY1u34VmLFp5Mqy5SH1NMzPdIY7y159++/a3/5kJ6sxOKOUam48IO0LSabPrqCVogTdiyGRu4v/HaE2hr6lKKMQ5Xy5TVnwlhE8+j6JXX1Nrhz7O7NA9Djif1b65/czjA0d60qbSB2Ul9+A1CbBylr4mraz72ZyoFh0SEFgzOu6DGMUSSEDR1xwR+ppc/Lq8hsHBe85xWAM5kezOLU7neI1zS35PzzEHQuDAHBv0nZ+MglZfszGguEEEgaT06M//glUjbm2+l1+8JjPWwYq13Vk1VtZSn19V+6DsQb7LZcFSuSWv+1hz89mzzeXYlGPfXDtA7tp1ZMGDKQM2uq70lBQPtjx9o+QwAKn9Sv6uAy2D+d0NxfVj3eQpyQThgM0Er9m/tyPPDZsgXES+3cl1p82Y11B9q7q4uftYT9/Jvp7tzo6eAwdKqmoc93ZVlNTmzeVf8134PAqc1ySbn++S/vfHI0l43/9vLskxbMQZTdT7E6Y+84mWlWPDzzMy9PuuBObMSBsP/SURN2hBCc771p3zqoV4zeiOhy7ZBsGWbkttf0m+073INXQW0QthELZBX/MeeE32G5evoVcdFvqaS/CkDEmXAmuGRIyikViUALAm9685EQb/mpz+mXsbYiaEmlM74gcoWVtESTqRaUhof53519ywYcO8Nyt+vKGnt9TtBXwicoGWgW34M27v6c0H6ALppyPtRL8YBfjX/PzAlxQ3aJ81DdDEzBIfzkICgAdyWgpW03/gnWeOhJZYKXhNs9kAwMRSamZmqjkrN2vk0tefN9fQPEhfE/+wLzeCwLR3j1XcqC7pHaxvKc6HeT1AKCBfy97+vXv7+/v7+rA/2X+gvNQEbUsjDMYxXaNJP55fX5zfXLa7uuym3Qiz8vyx/hP9D8aKWw6M3SMf93CEBEhpNB4u7+/ryIMOJ9mh26h3cJxGU2nvrVvVZcXFLf0nKnru1Thqy06cqNjuNNbW7+5ryJu1hp7D4gb9M2D/mlYiHr+j5XElQSdzViLok/Qrl/H3/5XkFvffb/+cU22TIU1qgxu5/yC9n+b2r7kKfOcqqYbBkCrdoVkjEAULSGA+XpPiBs3Da+bk5Mz7kQ7tCbyjkfgyt/o1QGU6JUYlrN6ctf3F+TX0q1St5P9A9Eb4GoN/zVHYod80skZm+ddcXMv+j0HUDLkEBNYMuUhFg7EiAYnX3Alf7hvTizINcwZZCYyU0NRm9A89OOZ4zUloaK4N/DzrxWBtrEvZuinJ0GiNW09ezVPMubnmlPWbEgxpa9YkvI546Efy1r2xbt4bpBsv791V6gafxxAlLWVBiVFvqurtzQdJISki+rl6xfxr3nmTYlSmNmZigDwBcj6GSGNm0gpcwirvr1xhUJEKIZ8ka3Zm0npkEtJTs6zwqQRQlJaWJGHNyxcu3d97yenjX5PCQppczpu7+m711w/W3hyAyiSIWofj5q76vr19FX197J+yZ/NgvANVTrLcAVy0bO9pGcurGtx9oqXb6TI68vJu11efqHgwVttd6kQkIShrOmtcNePj96DVWXulhhHCIDbxQAQPbKmpKnn6VvWB+vobJ6pL8senvN2DJ26UDdjzevfeKuvY4hNfPp4eoiweeuBxg7jJj0ZwyP4xQ3QMaCYlkcE6pR/uktE6vQii/s86+z1IomYVDOTH/bvsJOmdBmeaCD1qsCYhRuW/X0nP2piKm5CZiRthWIUXflps3Lhx4Rs9uzNRAmH7xEDn0uZbM3y5z4gbFI+UnBw5rElUP8FH+g2mwkg9fsipWDPZBqURYE3p0zfvl828J/DBQQ9GE/GaN6HOouE1YRvEFlaocN7rxYmolIDAmlF5W8SgIiEBYM3w+dcEsJoDZPKHxgKsxmJPUV94wDdWtq63Wq3Z1oSEFOuahITW9vbW1ukUM2HNNa+/d/Toy3nrfp8fa3ryCGuSH3fJAojtGdY85gD/Jhf7c3c27Dz6+YH9d4589veL1nT4cmeIxZBgMCPKz0KzBK/53x+gqvnrr//77c9HwDcAmzMuyMxEASYZtwl+dhLSi4A171I4xsw0xAG/m1q4NmPtweb7e7W8JmaEgJIUjWS8o/7WiZbmUqPX4cL6N3xGl9buGhxkFvcwvocF/oPBKiBIQEhCirDvsTgbWsBH1pbcOtHXMQ5i02LJ6+nbvXewYxhuAAFKYVJUVXsMa/C7yqqri8eaz9aere22ky4oghHZvHnNLU+fqIBVf0X1ibL8cZPlXs+J/sHRLffKqk88KLXPwpqc1ww4HvoaKzMvh13Vt/+1rur63x9MdlhGn5Hikrp+ZKdow6OiJyWtYlhzRk06lHnNNUwZVOZJIXfo1QLbw3XqC8++tCe9cGNqkTXzblImC4+JSE5Amhs3ps7RoChaUAIEtynN2uLXFeKhE9ZE5KDVtiEb4UwATaTIYk36xQn1Z/oRSs7BCPYR1lT1NfVurq9J5xaDCNlVWHAYBdZEjEqhr+nP12301xFYM/rvkRhhmCQg8ZqIGxQOfU0G/iQuz2cHWMiIopBuGbQ1bF1vMBRdrMsGArNmN6ZNr5+eBtpszzVbOdZkvObjsObhObFmfqBYk62h//POkXN/v5gLrMmeoczCITVlQQHQgzbNmpZ0Nwn4cdVvbK33Wx65RhZbZhohmjTYR1uz0zKzsrKKDKjKeE3CmhsLLxcefFgCrKnwmnheMSrGY3HVbCuG8uS4E8qaOruL8CB0U8fz8vK2OGuGR/PGx515h+1u0tOksEAUJt0+Wnyj/0BZWcWJE/21pWSkbsmrrX+6b6xmyuG0UzR0+8CDvpPV1Teqb+3eXX2CMhW9pQ6bw1mDZXjT+GD/0xW9A84t5RW7T5bcdjq3F5+o2FVaerbvxI0x+5TP41jLa34coB06Zyv/8yvkBmmnGRj0/NEqS03Zc5+af3BkKql0Mi55zuhBuIxdyTQ8u6RGDID1HGtKvCZwJceaKE9KUrFmSN/kygyWc6sQH01vji2wJuM1ATWXCmsSeoRaCHPbwEIjkPEbs9PRaeIGMZ9HHZzXXMR3N+MsgTWJ1xTx0BchwOi8RGDN6LwvYlQRkMBy4zXjDOtTGpGgHJmwKd3cVdkIUjP3ckaleXoatCZ4zZbH8ZpsDX1OrHmM7LID4zURD/3LO0fe/vvFLM5rwkcjyNfH8Jr8OcsftRSEm8W4eeQb14awJlkMgcjEmm16+vr16ZnW7GygqjjCmmuz1mYcxBp6s5PZMTH/mvSQBN4EdHSWFt86UVLjMiESp8sBNQGdfbh0AKmtre327bY27G+PU8ggFqrT4bCY2naVVZQVI8DkiVvV5aVGOMf0boGqZX/POJwhmYjbcW3rra+oOFDRd+PWrb3IwPSnPM+Bh7LDqPO4DpdVP11fOw4ttjIwqrBfb66/BX6zqqT61slyPKy1b3WGNZkd+j8/CTBuUNxdWhl/ZE1iUBNYZdUfxFzO4ISTku4yVvO3Vaw6PB9BjqhLmH5WVXYbGPBZw/y4/4fqsmRFXc5rpoHXfCV9Y+oMXpMxm4LXlOXl915+/9Pbm/CmsgWPDH3NJeU18QnCB4iFV2VRxMD5I5GHr+RkdQ0dlYLjNfHDkL5qfHhN4V9T+y0Rk3mBNWPytolBh0ICEeA1Zy+js6V1xlyElpzh1kHWxuzsTaSqaV4/XZnd1ZjbXll5ObdVxppHW6CvGSFeM5lsgxiveYGwJnuG+slrqs9bgE0GmP6rFRZRmngMxxHUTEvaWDi5dXJTZnZ2dmbm+k1JabANysUa+qWSz8/WNNH6G2HNZLaeR2EljTX3ynbfKstzwHzHA8/08AY4vP1seUN5Oftvxr68eaAGnowsDpPNY3dZnPkVZYPltbUNwIYndrXZsC7uGC8/sPtk8bCXXBoBbJqctb29u3YRHK0u6RlDqu0mRU6Gbmu6K27tLr7nmnLml9y61d+RN97bd6J4oBSxhE5UnPWaZq2hQ1+T7NDfO4O4QWaoCcTFpWbCxuuxb5pVxFR+RwCFv3io8//KGplyMeMzv81MW3WXUZXf/YrqSRTdEjHo5TrqnuEdVGAanv+V2zZYgfbpNqRJvGaRgfQ1mRoD7g3j8YW+piytgPb01sZrji14zU8Y1lwqXhMfIyMLgEDqJVCkZJ8toE36cKlYM5n7cu+oGaIKi/ii1vCaxTP1NduEvuYiJBoVlwisGRW3QQxiKSQArMnt0MPhX5Mtasv2MOoaOqP28CAJdcLjyRBnzbWmNFrXrzc01tVV5k5Op7ROT07SInqrOfK85pMvc31NrKEvhteU0c5d5tXxN3r4SglZ4Mw0PI/TrKvWb23PyCgsTE9IRQB1JMKaTF/Th9cES4IEO3SLxdW2q+LErZbbTjg7YqGQ3M4OLIDDCL3/JNv2Mzt0uHTX6bBWaPSYBnbd6B3I2zI+WotF9OIqmAy57QMlJ4E1x+1OeuICtXqHS7H6XprfW32yeWB8eHjcCbVOxFHXoY/S8pPAqHneIXtHya3d1fnDw9Dq7Oluhn/36sGOPDgQ1CTiNSU79GMB8ppSOCAJ2EBIdxsBIJ/4TZabvCfNzO/v0lHaH1QBYJNDyT8ANWclknYSCOZHqKkJ5kS8JsOaacRr7lmvYE2mr0nGQQaGNWe1JwoWlgDHmSR0SpptXJL5dWkNfcn0NfHmpBDn+AVGv7F4gmsvAptafU3P+Nn+4g4n+32neW/7m0W7Cq9JWBNJ9a8pfLn7K8ZoqyewZrTdETGeiElA4jURNygrHUuAobdDn8s8KJy8prUud2u6tdVclJ1dmd043dra3grOb7K1MrdRtg2KPK/52d8XzWsy2MRsUr6lx678SorbFEdGQQZrdtxWc+5Ee0Z7bmFK+npmKZSWmWAuLCxkdug1b/AHFfGL8D0EQ3Roa+YXH+i/1Vdb1YZQkfQ09NjvYY38QEv9gZaKlpYDLdiW1eZZ8ExlRreO4fKSilq7d2rKUQXj8/pat8lhv11eBu/sZd03u2uMeMyajDaLxe12ewca+vvzR095pza4WZ9Q1rTobg4CVDbb3ZbxhgqyZM9ra6nu783vbUFxb3OVc/YaOrND3/9eoHGDOI+p1c+khfHfZhCiv6Lsid8Yg5nEbMuxjB7H1DV/uquVsiptwjwy4pdKGa9pgM15Zhq3QzebcTuAM2EuRAlQ05yakmJW7pncmtg/TgIkbbzm2EaBviZ+tOG3lsdhwXseCs1QVSbqnlbRoa8p+9eUeE2mweLzQ8rPb3YNr1mCGJU4VOIGwb8mBSNCEnbofkozaqoJrBk1t0IMJNISANYMux26L9zkR3OpxdEDOqiE55MBWLNzvbWysrKuMqXQbG7sysggsDndXtlFxCbs0FseY4ceQn3NJ3dCX5PbBi2C1+RPZDxzuf0zsKaa4qCOCqy5PiktOyVlZGTyciF0UnNTNiVkwv4enp7gXxNr6PffbXaCg8FDifnXdDEXmFsG8hsQfvPEjcHe8u5x/pxM3HIzv7YZHtxrsWWbs212AFOGNW15HWUHBm+7bSbv1G0soveVu2qGSxvKBsv6qveOjTW0wUOnDvwlC58+1Da2t692lIyKEJuSJY/JnV9/4lZ/rctVM1BSvbtiDOGG+mA61NzT0g8bpV3No/PFDTodKK+5Zh/BSKZuwIVFAZhm8JpxbKH9CVgBIcWlWcmR0RPf/Y/W1R9xmKjKmeWAevB3l8jQRxrek3hNQ2aSwWoG1gSvudGcAH9HEtak92ICx5ozWhOHj5MAx5lM6KgK0cvbuCTDW2f4GvpS8Zr0jtbBcQPZBjkcOvIdy4Eflav+NcOkr7lXxEOP9BMypP0JrBlScYrGYkkCEq8ZTjt0tmSurKDzI2zxDAn1C48k8HyN683WrLrnX3jhnZF0mKBXXs643Apik9bQp5ltUKR5zUuwQ188r0kPWg0PJ8sMfJrBmrIVtvbWuleee/nctoy1k4W5uVkGcwLYtThgTeI1372k2qHDCt2os2871ltWPNhcW95f3VcydrsGmmUWj81iH88bHh4dHcamdJTSsBOKmHie6mBw3tGzt6+4yuUwmUZrD1Tvri451osQ8cX5tYNwzP4ASJF4HVhTGaHZaRvoPdmfPzwE50qw1vUQ92Lacq+n/9atk8XNzWODfScrxga8w7V9t27U95QXQ1+zZdf2LW7tZ4bW0Lm+ZuD+NdesIeD42xqGTkhWbA0dbKUsN+xXxTF1TStX4kxaw5nNJx7hwm8BFTU1pTzHO6TO+cS3d5UKCq9pNee+8NL/Z+9b/Jo60v4BCZKgAewmpNmkFBGNQgARqMhWyIstFwFFsO0Cam1LLaDv2lK7+CqtWnBRQW1pAUUrYr3UC2263X1lt/19Wt/u//X7Ps+cc5KgUXIPMhM4Z85tzswz52S++c5zgX9N5jUBVlVeExEVJa/5BHE+LuD5e5TeE6L2Wcac14TLBas9/9ixYaiOkL6mlYyD4B2NPh6sGXZ9TXol1Hjomn9N7PN+b2Q+7iUgsWbcd5GsYKQkoPGaEdXXJICpfiLLawJsIuWmnzx89O7tPe+OVfcc6AHY7Jnd+OiR4DWjaYceJn1Nyz8J5vzqRanBtSYcibfCaf2t1rydW86Uff/O9jezzzuqizGNnmSxgNfsWTW2hnhNYl0UXhPW4rbulrKhitob5ccqhnaUNo7bOBQSvGXOTY2+MMULzJS7Hr6wbIrcupBmmm24o3SoqnSrE/ZAN1qagVErJpqxo7G8vbHz4NDgsUKY5XKIIIPNbhztruV46HZQlToog+Ke5guNpUN1p6vKRu6XljaXVd6wPRwvaD6IYrZWNp8+XdY47npsDl3oa94OOG5QCjtkh624YMNShKqrCCkPBCNSBmNNNj7n84TtFUT807wTlfNRFv7Yj3s/uRFQdqMHOFnSW7fs3v1NFrCmL6+pN6XRHLpMAUqAoCelJyw126CY8ZpGt9U23ILADhcLXTBIp3kBTKOzAV7k9DWpeI++pjKHzvg2UgODLDcSEpBYMxJSlWUuCglo+poRiYdOAzODTHUa3WsLI0m4PzQ+6bMO5FmK0zZ/ca3u2tXPD1+6PDv7iJnNR1mC19xLcYOibIceir4mNYpnb2/5yMuC6DV5JjgTteSd+GLvzMG9LW8cOpk9u3Hjxqw06HGacnN7KEblWedbGKZoQMQ/uEZj4f7a0spjLlt542DF/sk5g9EKn0UGRd9sagpaZ6mJBjOcckKz05pqB2XpvNMxWFo6shXaloW9lYMjpQMTHSP3J+7YbPnDlSO1NXNwa2QGqKQ/3KW9ZaiqZtLeYBNYE27ejRc6BkrZT/wgbNPHXS67y1k+MVJbMOwsbxwYPDb58Ak+j4KMG5SQQoblPxLAE0/X7wQhk2Ew5f1hJ1I/iFPoQDJbmLMKp/dpap5RD3PLv4vnmQsDr4lnG4FHHcRr7v5wPebQ9XAK4M1rMtZUi5HrhUpA6T2lg1jaSh5z6LH1r5kKrGk/VnG6rnMQNm1OhCoHf09YE7z+E/xr0i+9YMhHoknxC1H41/TV1zwm7dAXxdD6pEpKrPkkqch9S0ICGq8ZoXjoxGaqAFNd8z6CUGFOYiSDGmNaZvWJj6/NzEz3Xb395TeXz18+33P+ACbRk9i/ZlT1NWGHHqK+JszKmdb8D/CSV8oAoGxyIEBlRt6JNW2vztT1VXz3yd9OVs8eSEvLNSEyZ27x2Jq7fccbvPQ1Efd8zj5+Y2v3pA1g807vJhcbCwFV0ohIc+yAmuQv0IAA5gYd/AhiEtxgy2+/fqym5oIL0S0vDF8/duzGjeGamuHJhy5bQ/edY/m4jnTW3Gb2Mjg6eaylcthpgJd4cq+E0gwG2/Cxmjt3th67fv3G8KQdBkRv2bHrxrhzzll+/cakDRd6v2w8h87+NQOOG4TfGgqOZGEliADmP5CTe6+00kJKnD8yiUnnJaf0/4QdMDL/1UfG6iXYmZBMGPYPv9I8eYJCbDKvaTEVOw5Ub/kK+pqmtCQEDKBEHg9WJgFopqUdkLymKsYFr+lFpvT4cmXseU0yCzpWMT1Tt6NzsHE436ZjmAm3YYQ1y5pL21OF/6Ow+dcsVXy5Uzz0IW99TXpnvd8bmY97CUisGfddJCsYKQlo+ppR4DWTaHAWLpDUCfUwrpWRCUNU1sa07I8+uDbz6qv1XX33Hvz520uXCWr2mJJIX5NiVL6/YF6TMRjhMIqHvn8OAb7Jy/tjyV/3vNEG26An62sSZvH30f/20w+QlZKYdPuxHz50vM+HTmZeK85IziCsSW29dnXXtm9PnnSgpQjJaTIR1vSOhw6u0mZMTHzL9dDodC2bejj3EIjSCkoSNkCUgA1BpwBgcoR0uLw0kO96midMNEyB7HTrpqZGE0enlk3ZDVNgM41Ty5Y9hIamkIZB+NI02J0XNk3aE8HJoDgrW7Lj/MTEhw1zyxLtzrkpw+jy5YnLpubmHo5OPbRPjc4RUvUWIGPNyS+r+q6e+eTch/CvCaUAfTp8V8LBprcEnpzXEwn847/Fqb/+RBt57EHfc7pez8CRYsxDgNgvIjPRqb896Ra0j/24/yMdcqVLiGqDtgYszYsd1dXFjj1nd39oOmBKw66VK4E19fqVmD83mXocPSZcnKJPSUqBydYCqu+p5dLNQVAsqScsTe8Sr7lhw4oVeF5HR6Mfo5K+CuzHyupefrkeGsctvd0N5Ngd3sSANd2MNZndTzWwzyNoS0OJxOfp9n7S/ecRMQJ30j0xHrrkNf3LLc6PSKwZ5x0kqxc5CUSP10zKSsszrUcwn+q8JAE4aUgJWxI8CIGArI0bM3M/+oKw5qv1M10H935fUH75/Hn42Hy0MUvEDZp6Gtb0sUPXmQEvaUJZVzMwsB+Enx3RdFIxtgBxspsTcHf+B5OXtsGX+66b27ZvHsvNTGI6jBAExw16mgwSfgfs+fs/f+439f/8A2EnTO8qo68qMEurRW9pBdhMySGs+fLL1NZre7/fc2gMAIe0U3tOAWve9OI1MXq5KfARWmRgH9MMEmlQI41O1jhTlhjmKBg8h0jiw7QQJ9KpKEHbAUpSuYjEQKdNzZkfzsPjhCWtD6GUaeVJejzOKmZX6+H9hBPWXDG5pw9Yk+IGjTngnb/VAidWBDafmYSR+R/+86te/+t/iL8kSyFfYa809fOBH3//V3/yrz+rEefp3D/84+f++begLhOz7P9am2ZKArNJDxvZoTWlZW0cO5nd0/PnszffG0O4gOp+y6ONAJsIIWBCDzj6sx2ETQFB10ONdn7BcvuJEhAg+wlAk16db8kOHVBzBf00igXWBKw0H0MULAKbXQc7Bwra7W4YptvdoPcF1sQse6rObtsP/5qFBg4u5P10LyxvxYwCftYaywcryuBf01dfU/GvKfU1FybLODpLYs046gxZlehKIGq8pl6fZWoqwfx2Vl4rLKXDTtoQ08QAoNVyIK24R8GahDbr+u7t+vJvh+CA8tGjR+9+sHdvwfhb//2CXzG78ysHa9tFjEqgKpi3AFPC9gVYs2AK08qwzgYQg+6jFQQg6AyaJvZLXLzRRnPoWz7cPOZISmKlQbhdZPtkMZT6EwPzbox9lMVvyeQa3Pt0IBdgMOxMEVgTaPPVmS7SGnjv3csbNx6o7jl11ofXxHjlt9FhPZAYYmkAutbUN/cLXpPioYPXRFTPkpLXfQTgLQzvvGbpo4juh1vzGGFyRsQz7d4C/vE3MUuOfWA7fT8k+J9w4KdbOWnp6QCPgtdEKFSHA270L29++/bdr3cfPll9oLW69cCB6lZT/4kPt3zw8Z8PHxo7D78AqD+iC5B7AN9y5daTJUAIlI48YWn5Brxm0ZGiDRvwowYsOyV+3NatWxfiY7ewy4EAgTWJ13y5Hn9dO5oHG29MusxmIxDnxbLm++3iK8HsbDwIrDmFn6n0sy3QlGpAHATcqXwAWBO/bikpdug1mn9N7Au0XHl+THvaYVwAACAASURBVCUgsWZMxS9vHksJAGuKuEGR19dMsjTl5TX1ZKXp12MUwQgc7kQxcxJyTp1CwKDiQ19cqwev+Wp9PVYz053f7TmU3e840PruJ3s7C8Zhb+1X6G5vXpMcAiFuDn3TE9Y0ELfHao3wJ2kgd5V0BOqOfkp7UWDNPR9u3lltCqDJpp+Zd9Ow0E8/08UJ3gKDCAlrWpISkoE1MfK9KtrbVbf38z3vIlJSdj/m0K91aLwm1dRPNeNsN8wsdKlv/kJY85c/fnPSlLVxfWbWRgR8z/IWgL98QsL63zXB0ax4yuNnrkxK+regi9Uzf+9PTr71r59487HzUaQIaplMGpjicEICPLnONp08OTs79sZ3VQenrz749BI8bFVX9+88ZTl1+Ku7bW1Xz/z1UvWB9evTQEIrbvYfK1vueFwCCcqjLh5472XSym//3HjoiPlIUVER/SSJAdYE2DTfYayJlw6pvmtooNdpRIAsxA0qJX1N/AA1u0fzKw+W9cJAjkzsAn/ByGEYVEvs3SMVFTdQAF5e0teU/jUDF2U8XSGxZjz1hqxLVCWg8JrbtmcXRzJuEDEUIHdMliZLFnAmrHfDmViHTq9nswzcxlScNrv5E8aa9UBg9fUzM1079u7as/2k6dGhTzr3FuTPzc35Jd98eM3lVsyHmY00W1UzMFK5Kb+woTB/fDw/f7KwoWEyv7BwstC23GXzMW3x7j8RD33blY92Vud6tRjKlF5bT8ha+pWpcwI///jt1uuPnQNp6hH43QK5qnPoAmzCImrvd3veG+s5cHn3vWs3z8OknAYqdsviXbX4zaeOEtb8EnPot8mXe5PD1JrnKClx5OYuZA5dn34r+V8qkPzpd0xmPyY73tH62z9UQP+P//yabNIn5+T0/w5x/0iuS+cl5jz/0f96D8IxFRfTQXidghsAOJl689PbndNdXRD73bPvnp9t7e+Zvfzu7rt901110/CE8N5JzLlDBwDwyULqtTKFJAHLobd/Aa95xH3ECD9dseA1ASWN18umGWcS1MRM+unmgcYbTqMOWLOz7CLURKCyqbtQSTEqE4OcQ8cvWDt+4prbByoq5sdD1/xr4mtJpkUlAYk1F1V3ycqGUwLAmlGKG6RvBUEFlU3oLUJhMaQBZ97FQG5cHmPNjISktNy1s/B5xNBL5TYxk3738y3vXv7mi7bO3vz/ts/5FaI3r8kwDViTsNqxwbL7jY0FvQUIq7N/fwEylPYXXDTY/GLNF/fs7WvbdfaDT4E1veClybTWa2tea2jTZAIT1v/zbz/854ff/tX6+uNIkzhNRV/TYlm9po9HPsFsgsat23Hv81++vXTpq6s+cYMWC68JRTxdaiHxmrc/2fLhu2OtljyA6tw8KG0+QVZP2JVz61Y/y+7ndIjyCSeIXbfy/vXbDz/88K9fHZidF2nlyd9++PkJF5he//Xfv7aWmHp6eopNxVQkHABYkjZCW+PwrrYuIs/rZw7e++Sz2Z4DB2b/38dXp5lQr6/rfPBeq74EPwroB9ZC6/+ECshdQgLAmnsIaxYdMRrN9ilQm6xGTPqb0UlQnkk1XGfbIMyh00R6/cvQ22yu7W0vtA2XNZcN4+EFM2/I7xgqLXCiftj0+2Xj9wBoTdIUN0Nfs+IYO1Z63L8mNdhvAfJAPEpAYs147BVZp6hIQOE1oxE3qNUE5495xMfpN258fOIs9D08hw4IkHfqZPb2s7ANYggAtIkhAXnYaX917pWbbXvfmPy///5vv9L15TXxbQ6sCXfNxuGJtqHOzs7m5mYskGlDwrK50gZLbH+lbQXWvP3gy8OIGwTHl4E1MXNt+uvJay2vJz/xspLWkqTMpKSspNzWzWvaeNijZgLz4J+shG7/cvjze9d2e8UNWiwjEzwzuVMb3mirukdYc2d/OvHgSemvv/56+hNF8fjO9MzM5OTkzNczIaGnpPQcS8nrt269vt5zzqP019OfeFHmehSWdgAepcQsOpmwJyWlVV96gJjueNDwmbl295dLcHhwcs9rgJr0KwfOAe59cioXOp65SUnpubkLrb+nPjLnKwET6WuuKCpat8FqHR0dtS6zLsMbuhye3VPXUSbiH7fLnGok2yAQmi+/PCNevPqXu+qqBnovboXPo24YpIPMNBc2Dt0vmERMrqAQodUO/RyEWNhUW1ZWY6dvIU1fU/rX9PdtG//7JdaM/z6SNYyQBKLDa5KmP8gpRw8UDDGhCIVKTIiGNTmAYZEyLBmtFkv1WPa3N/vIDp0UNhlqUm7mWt+9r1/r6yy4MPffC9PXBJ+JoYIGD6suf2vlRAuif1OqbMEaf5WDZc0TkzaDP6z54ra2vr7vzkJfc6y6eoxwNieEkgw5Id57bjFKcTQ1nVjTSW2kxE1GS2e6pq/tPXqv89pxr7hBiwVr6qZADU3uYV7zz+8pduglZIceiNRWlQRy9jPPFaVVO6odSEo/Ih599revTc/MEK0J0ddVPfj2wPn+b//UB6aT9gGP7Li9+VR1bm51LnwjYS1TaBKoFvqa5iNwzWWcM8BX69QUxUfVFfEy8guKu+qqaVZsg8RbR0uaSR8cbGsr7eavDKPduX8ItkEcfMuvio3/L3W4jMc0us0+7mWHPt+/JgNr/0XII/EnAYk1469PZI2iJIHo8ZqgG0+sXr1684mPVn/44b7VH4U/nVhNn9UnTpz46NDbD3b4YE2BBuqnr8EwfM+mubkF8prwbM5zdGAVbJOTiBk+fiEfq8n8cSwanM5jlRW1+Qge4q+3YBvUd/Tzm9uu7Fu978o+rclhaP3qb1Z/tBkFrv7moytfkc8jAE36J1ANiEPIZ8e1vr6bTgPqvsj0NcmZVP7+vmudRx98vOUwnhU8N2gpLWKcDh36VqkBPWofvXvpo217gTSZ1yQbtKN//n+Hvv3lLphOwp+vgvDsurrlyurN76L6+yLy0MdYING+/eq/ftLyx8tvXpq8cCH/AtSmlVSIpOYjvIbG9oXGTg1rqjMKePfqhxCytQy2Qfh5anY5C6Cv2TBnhHqnTwRWf18Vvvv5nTU77Rdgh34Dv3UpqfHQNf+a2Od7ldyKcwlIrBnnHSSrFzkJAGsKO/SIxkNnDyaPNm/509Gjr712NOLpta+/vrsX1NKMAjd53Bcj/7W26TbYoc/9n1+R+upr6oT/SLi6Q3zwOTvS3JzLhcyc3WW3u7qPV0w02P3OoSMe+vQ0ptqv3otcq1+7/VobjXyvvkzoRk3Am3XXrl1ra9R4TRqt/DY6rg4Y7AbrhsJfruGHQedeIbrIiS+kh/G1u3fvkl4wSx4i72q7d+/e3Xt9TGqKrqi/dvXu0aO3cZs4bUNIAoj+xXevtn3dUvt97XeDSAO0UBLvUDcitx64f39gYqSqTmBM/JjAq8cJuaG2uqGybnZE656Dz6OyAies3ILCmjRnTlEVNpV2lg5j3gSbnnjo0r9mXH1fBVAZiTUDEJY89fmSgMJrbtt+OTeyduhQ0vzoi9uvnTnzpz999SclfU7rkBdqadr6qzO3b393rw5jv4ABWIPvA/TEvPLdq9cQo/K/5/57YXboPIcOngJ+NTFouI2jiVPwmGdG3PBRhN156+GmgooJp9037I33A/JGJ+65F0iT2j0/hdByvvSrP52h9KczV6dViKmtobHZeXdvW9/Nwql1hDJhoYDxyrtq8Zs3kK5aYUEfRHf1LkQHuXlLLwSxhfKw4bafnzmza9eZz7kC1Jlnznx/9OgO0tZUcGVX59fff//90TbBc9Lu+vprrx2lJ150FT8CMWpAKI2Pk2s//9OZ7+/v/e5mx4PKWCVSo+mobVOwJiNNMg+C66ODVaUjQ1Wl3RzpwGqwFQxVVE6O6vCtERSvaWUXvhcrmgeGYZtIYPMx/5qYRJdpUUlAYs1F1V2ysuGUALBmFOzQmddMWr1mzccn8lKyEjKgsdnUNBamxVjTGBfVlNFEluhNTbfy8lhfE3QDBnvBOhDU7Oo7s2XLms69sEP/7//yK0RfXhM4E0alsAp1GVPhZQXRG91Yw2UeSAe3dTS/t6y20Obfv+aezmt9t7/Ysnpnk6O1Ce5FKVGz0fgQms+XVlc3wZNoU9OpvBMf7yVYozQULcWkblff3f3vPbh3rdJJzkEpTA+NVn4bHVcHrFMGt5t9Hp35+Ny+E02tGfAZlJOTk5cD2YUgtlCu5ds2ZY9dHhMPWx6etp3FG4s3b7s6DdqcH7VX6+u+vzhrPv/e0S5hLURQs+vuvp1NrXxreH7NjlkDQml8nFxLfTAG26BDZtes2Ww2TI2O/vfUf0Nf01pUtKGoyA0v65H/WBOtD201pac1PpMMhIA2u6CdOby1rOJ+ucCaOtfW5orBCwY3QrUGo69pMLrdVqutprOishu2QUiP+deknXH14srKPEsCEms+S0Ly+HMrAYXXjLgdOgUB2ffVVx80paQkmXLgL5FMBBz40F9ouVy21hAOjxhv3kovdnx78zTMRAlskgs8oh2u7X1tzZUTV75o27sHWPOh3x71sUOnkEAI4UEKWLQwWHV2I4AnKWGBbNCZL/RW1DqBQP2V9gbs0M98QjEqq0ssoooZGRZLK7U5iObzZeJSuh7WQZkH8po+4njo3FrS2QTQPLj367N//X+XKu/tOO7xr7loRib417QWvVkgfB69d6Ifzp0sgJolOa9z+8Pz1Cy0FI/I6VmtPk8PW6voSUvJAcfJS99dU1Q0Xn61q6/xknP2/KWb5AWJWc1XZ/p2nWhau9aBB74YV8agAQttaLyfJzqi+ps/728/Ap9HRW6Kh06Jfg6uWLFhXRFhr4gnndFgtXOMSvpaIUaT7IIOdo4gepDzBtmhw78m/a6bujjQXHbMaaYYtv6+Hvzvpx+4+NLprqwqq5n05TWPSf+a/uUW50ck1ozzDpLVi5wENF4z0vqa8Eh45avdWxzrKTo03B6lhzel3FKRXEZGVmbxqvabzDww2Udm2QfbXluz70RGxrvwr1mQ/38L1dcUWNON+N0GTIRBE4uwJpQ3gTURu9I4Nw6saTP6dI862sEc9UXEQ4d/zZt7PvzoZHV6Tk4GfW5lIExl6I03pZtKLGsR+t2RB/+awq8T87j1XdNVpTf/duF8z5tn7/Ud9+E11brx2qfW/jZwJh8SV9Kw7jdhcCSjHjXReEuJ1lB6JeGBm1FMrfigv3sm4sR1hWyH/sUvH56ohg8DgM3XKUZl6HILqYQ08uTek6bPuYVuvJVlqq6enf1k7zTUggWXfP+98+fPXz5/+HafwJ/wufmXN5pM69ebck1J65PgBzak28uL003fvLH/0LoiRKRclwqc+QKSwJq0IxqJvgCMNRwPHT9mST2nHv6OSjtuOEeXvdBNvtzZkkenS8w/XtZZeWxTodMWVHI6XQ3lx0urBsdtRiu9Lx59zUlo7SBJO3R/3yBxu19izbjtGlmxSEtA09cci2zcIOY116z5oIkCCEXCMTV8ayspJyGt581D7xwUtANxmjMHO49+sP3kqX5Tz7uIG7Qn/8WX/KtQ+fCa/I1OcIsyDJAEeKKv+lS7yz2JOXSn2aeTEDOEzjEYiQnt7aR46Hs+hX/NNOAlATZTSBghp3T2Db7W0ZS7E7wm0SsgccFpTrcd/fjD8/2O/p5TNxEP3eNfk9sgBqiFD1NWZQIwdbnOYEVoZ2BsTMo/7saQ4pzo3Hby1EIxPXVkzgAbfrAzuC0UEJYv19Exsw0ksBs6BxRh3kdsXhuENVVf7ogb1L8W8cSBMkFshiy0UAtISoNPdqSUlJRbKUl5p1o3Fh1asxfeNJFmrn39SqG5Z+zk+UuHYTHELjenr+7ZbMHZ4r5h6fdQm7C4rzcd+uv+/4do6OvwiBDWtL6AQJXwr0m+3B9/KiOxx+DW2cnnEdOaRGrCs2ZjeaH9v+APs514Tf49hbfBNlzb3FnaUnDn2J3rgacbx3pvbG1pPl1WYHTB+JCStEP3+pJYnFmJNRdnv8lah0ECGq8Z0XjorK+p37dmzZY8Md6mJITzQ8UngNlkbjMvJ2utI/vbdxSNKqhpHuz8y9m3D53MRkiXnm8/7ux8480XN6zwKztvfU2/JzHsxFQ662uKsB48HGBhdSNh3HFD6fB/oK/ZdpuxpiMT3j8JbAKmBNt2FiPayh8lDo0lr2TnF4rPI/Lh3vna7lfezd6YVl3d2r/mLnhNokBIX5Pq5z32+oV6Po1m5TMdxlcqQWcgSwcoq8JkStjnewpkrOmiY+SPlMdbYE0R1oWCyoMFRhUAwK3Amoji9wysuYL9a+76GFizGkEeLfr16SWIUBnWxybwblAho3iIs4rhJ7b41JU1r7VduzaN6O17LmWfH7uc/ah688dH916b7rrWdvSLb8a4v/leQXd84DVd7Ff4POrqI5+gT3Ic+us7n60jrJkIrPnCMkoIiu7zzEZ0A++BW2BN4Eyo4x7sLK2suWAfxQ+k5VOENdtTibs3ugxzDTUTZRUVZaUjwaT7pUhQ/9y/KRVvHH3fkL7mELAr5tAlrxnRPo5c4RJrRk62suQ4l4CmrxlhXpNG6X27wWumYBQhzBDGxAiASgSOA9y8lbWx+PKhd6CvCU5TIM1PTxb3nDyJAIM9FA/9jfwXi1580V/HePOa/s4BxYl5dHz/5xfANsjMRBy2lAQ4BkSFwcFofwdYc9dZ5jWBNZnXDL7h3E51gXAqFPMwCTQb8Zo0iwtOs++1Nd+cHDNlZlU3ZeeOAWuu8eU11Soy7PTfOs8RvsBoJ44WDaKFEWGSrG6yy/dO4C3NVredTuOzSNEAEiL+UplYJ9iJP/yT0QMf9NzGJyd4zYI2oLdPXvnmBMcNSkhgrBm88MJypYKA8Pzik4RAUE07dzblNV35GM6PzmzZXA31zZPZB2YPjI29+/FrfW2vfbFvbKya8DH9KYuwVOR5L0R9yh9bmw7V7P9sw7oNeLJihDUR7Fzoa9KXCyyCOoYnXQ9Hl9HLoOsmrEm/s5YDa6Zand0dpVU7dgwFk3bsOH3wdNvEsAvKyyiawOZjvCZ+6cm0qCQgseai6i5Z2XBKIIq8Zgrzmgw19eGlXUymNCpxJUZgQM2MzMzZVWIOvX7m9N7ad/526NLlntnZWUfPbLHgNZ8CNZcvlNfUIXKlubwRtkFQ3fdNVtieGgCoUt9/g7AmeM1DJ4nXBNZkXjNIdk5BOgrLA5QJNUYEqdSfWNMGm6BXZw7u/f7jtw+N9cxmpiFITXFm027iNUEpYqRS7NCRUz8LHKdAZhJPC2TptpsJIbqBJzGbDqyplsTr5Rhi3ZggB8TEqYCVjEaXg5SBKa7LqIMtlZsguMFMgJRpVn/PMWHNdW+SvuauT+bxmuF9bgIvjZ9e6gBKDlNmWkmT5datvNVXtmzZd6n4gCM7u0cs8979+MyZNavHerIdAmQqiDPIrg+8pov7Ct9H3WvLgjn08nWYlogZr4kfWsCa04iCjtnzkY5jF2xzc3Yi7gF+Pbwm8f9mu+3C9YLjlR1B+Wfq6KjsKCi3jbLaCZXu0ddU/GvSTn/vkNwflxKQWDMuu0VWKhoSiBavSaMz8Zp5QnWNaZ5wkTN609o0k14PqIm/DARET8ucbb95EBZBpzv/Uvn2pdlVsOhYC6wJu45vv2R9zfc3hMprgrR0u83kX5PioXslglGYZwN5l7riRcKaYg49l7CmOoceXMsFnaZOKK6HSC2tsDixbN7dhtnzg213z759MttRPDtbTBbqWVlju6/2rfHEDeKhyRsgLuT5AjkL305oEahIYE1gaCMQJ1Cj28eRC52Af+BrwpM0Z05uBemOboNORw4z7WZgTUBVo92Og8j4v7sXr/nLK/s0XjMHc+jBCS5sV+EhFkCTlw6LKS0tPSk98xYcbVHIUHrMMg8UV1f3ZB4A2fnFOUwW9JRIXjNw+fs+6uojj7WFec0N0M6MHa8Jfc2KOrxwVaWVQJoP/8tgJ4ewwH267lJlDh00JM1uTL1ld+aPl28qL6f/hf+J88fzG1wPDWYbFe7Fa9aoc+j0Lsu0qCQgseai6i5Z2XBKAFhTxA2KvL4m85pkG4QUXtYFQz50+ghp4g+B13PXrjp081rddOdfesEoNqwCp1mcO9ZU3FNc/NHHnXsL3nyx6CW/Qlwgr2mwYwxYVri1DFgTaoyeZBAcBw2G1pcUXvPtj5jXBK0ZIq9JslNSUgJm0fP0SSmt4DXrp/d+98mnl7IdPcWZuXCH6DBlbcza+RV4zQZvXpMqpSW/EvA+QEMmQWlYBtF4ZzC7bDYzQlEbfCkV0JiMLEG+gOV1wxkp40m6UiSdzYU9hDXNQJwESL3v4psnrJl4+RfwmphD99XXDO9zE3hp/PQKuKnXZ5ny8kxZWWnw+pmctTEX0+WZG2cRMH1tJjwhjB3+4uNzYz2ZWUlAWjyJriwks7kACYhvCfVR91rDNgj6mitiymtaXVvb6mZgtZP/8L9eWDZqcNlZhRkvSXtZZ6nQ1yRsmDrlntIlLpuip93z/bCAHC61Wu22h9YX7E6bmYqi/8f8a4r5BN93R27FtQQk1ozr7pGVi6QEFF5z2/bsyNqh03CBOfQP8sS4EWZeE4QSiE0Gm8kbk/Jai+Fj++7VgeNvbwLSXDW7Cr4Dybnh2gPF374Dfc0333//pZB5TTdQU+pkb8Wg0wyPep6E2WLMngF/Ypfujc4dCq9ZHG5eE4Jcb8mDTb/lxJYze187+8dvThYXz+Y6MLGea2LnPCe/utr3hYfXFGOW18T3Qp4rERDeiol0o9lW3ru/Y6KlsrGg9w64Fe/LYflDjqF45nz5ctijs0TAcxLwhLKn23a9gNL+xoKt3fnOBhvYUr9o08NrYg7do68Zb7xmQhZpzJqSkkwWC7xn4hHLTT+wNrfYlJmZmZVWfXjNmldOFWdlphPS5H+xCJzkW4JXPIXX/OP+dmBNQl+xsQ3S4UW4PliK2fN820PokhihLkP6JHjUhb4maZAsN5jpJyc0TjAD4PP14PmieEYObxS0oul7hLRSKKn6mpp/TezzfgllPu4lILFm3HeRrGCkJACsGa24QSmYQ9+Sp/CaGHfD9tHD5qcYxGZCMjGbQACO3OyT22++8/YmW/aqzNnMVdXZTXmWJEy1HyBesxO85vsh85r03W9PnSzoHID2lHfCCGG2u1w01GyYp68ZDl5TnU8EpCRiDVjzVtOVD77440eXi1fNZmYC8ZgS1mdl5VY7HCdJX1PjNWm08gKaCxym2A4dgNNobii/03G/tKy5ogxpomCTjQrUEns0giWQEfb3GCEpLB+4UHKYZLSB5TRPFgzCJrei9P7IYGVj7418hH0h7Ksl7+ebsOaKwj190Necb4cevocmuJK8eM0EfRqpzAr7LAQ2yk1PN+ViVh3YU1+cXpx3GE97dTGUOySvGbisNTmrj7tY6/U90Nf8jD0cxcoOXWe028a31nTbHo4+RCQxPOp4XMkvA/OaHjt06HBil4HN6rzfu4Xl6V3Fr1b+wQofYvSuePQ1pR2699fFYspLrLmYekvWNawSUHjN6MQNIv+aYgIyvLxmGlmYm0xk3Q60maNPgpPt7I82r0Iqzl3lcFjIMSMMttPXMq9ZAF4zZDt08A1mYM3e5oELLjewpZbsGGKEnbVV9z8F4dfXVIhhS2urRWDNJNPOE5uzZ2dXZVdXOyzpWVmYPs/CVG5a9u5718768poatiPYuZBEWBPKp1azEw5cqobKBmsnBjoPdlU0Okd9kKuVtTrJPYu9wWnDbDmOGjHaEuSkIde5dWBHXdfB5tqBsqEdbbV3qCI+o65XZTy8po8derzxmpY8R1JWph4wU5+UtXF2fXprHn7RwDidI5HmXcEcOvbkWYC0JK8ZIDer6sWKh11d4ruD9DXLY8prQhVkyj7ptD+cMmByHAnPMTQ2obS9nP1r8hz6civRn3A3C+LTwC+dz8Pu++g/cYveGkr4lYdfrTjFw2t2T8IGj9IC32GvV0tmYysBiTVjK3959xhKIPq8Jg8cgTMdT7kiiaBmcXEaq4EiAmRKQnr1qlWXV802XM5GZDuy/87AaA+sOQtes430Nd9/36/MF6avCZVDAlYX9ndWdDQW7Pf+7K/pBtWJocJahDl0YYcePn1NlehBoMvWTBP0NS1Jma3VucRoNjlKoEmA8DTwh9RaXbwxe83Vaw9CtENPxUAHOydz/tbBzh2dI8e33rnTO1A1U7HfJoY7HvNoocNEIjClMTV/67FyOHHHBsLHY8iF7xcQnPbyidMzM1WDNVs7RjqHqu73FuIEz/jrA3wZawp9zS/jV18zwZLraHXg6SJqM239elCcrQ69BToMuYgPlGa6smbNOawkr/mUN9fv1IZfXpN8uROvGTM7dApKYDC65kZpLsONn2H0pANYktaIl39NOPbCNDqmwXGWeNBxWiBJh4Do+ApxQ1+a7oD0mH9N2un3a0weiEcJSKwZj70i6xQVCUSL1ySESfqaEeE1GWvCPgj3SM5otWQkZVpgpbFq46XNJenJxClRRCGYqKenFR+CvmZBfuj6mmwDY00db2weam5uxuywlpo7RzqGC4XCopcdetj0NYny4f+8POgLJplaEQIxc+3aXFhCl6zP0mcg2Dx4XEtu5sbss+A1Pf41eWjywncLer4Ya1p1zpqRqumD94dtU1ad7c7I9Eivkzkd4nU40bCI0Rbu2+8MtvQKy3yjGYOwDeGEjHaDztl4eqbufs1DnWu8snmmq7kGBhNa8iVoGGsWkn9Noa9pAo6Df8144zX1WZamU00W8nMKtAnICUJdn3eqqRW88saNGw9/9dUWWmfi+ZO8ZpC8pvrLSpkNiQs7dDzSsAvkZxcYU8yh4/HHr0svXtNNr4CYWQ8KEML/A/Sc4TiMZ0kIrUpec0FfWPF9ksSa8d0/snYRlACwprBDj3Q8dAAk4V+TUGd47dAzi8/DqyFU46CymZKccXAhNQAAIABJREFUgEl0vSUzs3jtxlWOdD2hzAREFSK4mbC2+KNPKG7Q+yHzmgiOA4z1krO7sra2xTdN7L9RyFHldLq3VDt04V8znPqaSVmteeTzyESqqEn6zMw0U9r6hAxLRkqOJUOflJvb03MSPo86fHhNDdxRZkFPFXtmt9rvDB6sG6qtcVK7zPktOyaGydem54MoQMCaMJBwmxurKlrExD2wJqJTGsj/k9s8PtHVdbDlohU+XO4MYja9Y5K00NSPT2UIa0Jfk/xrxrO+pqXHYjGBQ8bThjCUCArFvwCQh4cA6G0Qr2lx9JAZOqFNovB44ZfLk0c9EtB4Tf624IWAm2SHXh5LXhOg0gya3s0alKRdwv7NsIVAWj68pvIjDIeVMK8Let/UkzBvAtKUXIsRZGWo6dHXVPxr8sujXiDXi0ECEmsuhl6SdYyIBBRec9v2y7mZ6ekleqYBwzYceoYMGikU/5pMywXIczz1dH1P8SzNoROvqU+BbRCPTY61G2cz16cgKmRGwnqgMGR8eE36Cuc0T64UN2iwHWYtgFnzDnlt4kpiMozO7hvHrt+4c/0O/niB2MflhXNcNOaOI+BfkxsH9dMsR6te36qH3x2sUxKystZTK0UczJwkU64j+9KDe303PbwmjY5IOrtzvL17U4PRaiwcvwAoCpVKRRJYWzFxh2k/nr8TjcAl9vzKtvq6ijvOuSk02+jaWlpQXrhpuHvc6bJdKG+3GTBJToMtTjXYWg5WDTZgkzxzUuBKK42XsEO/P9NV1ZifaDBO5TdOz3QNXHcWlneXw8wBLgjL8zF4K/XDlZQKC4TPI9ihxymvibnzJLg3VfoDihqMJel3TYoeeppXvvjiHFYwDcIO/heLpz7K8qCQgKqv+QRe84/CNghPS2zs0AEu8WiTd1l8g9BXBOa56WcT8t7+NYnTpMnvYLGmAdZ1rASNkpVJdMUO3eNfE8V7fSXJbPxLQGLN+O8jWcMISQBYMzp26BiSiddsEkOzh8EIQy5t1XnW14RxEJkH6cldPABtUlJ6up75TOI0KcE2SNPXhKtIzIOBmJj/dU36moPtpJH/NKypAqOXpqYMU/PTKA0C+H9R9a/5qa++phhPA0b0jNypjfxRMA6t4FuU8AwSgDXADVlHORzFY7vvecUNQn0ID+qM+ccqR0ZatjqNtt7Kyjs2gDxWDQNchGtQo8sNt+t2eMOEFSwhRoxzuoZjFXUvd3ZMzgkHmVPO4fLumpbSgcrh/PLjtYPddvL6QnqdwJqFLdMK1nRDwBgmORj6w8KCipfrmu84Kbans/fgDKyL2gsm7g8WTJonr++vPX7BRVZEDFfdJD7EDWrru3f7lzjW1yTJU1fwCg+d6APuCHrsiNdEb7D7eeyUvGYgbzqLVQhXfdrFFulrsm1Q7OIG4elEwvexshYrWnr51+Sd2iLwL29cqt6ASqF7Sf+agYsx3q6QWDPeekTWJ2oSUHjNKNihM6+5JSL6mgfgX7MHvCYMMVTURQiAkgdrguEUvGbnG9DXfF/RuQf7QPykVzJeaBkYbIfaP5N1oXXEi72aHTrpawo8GPRSgTbqECwayEsCOAraRAaeeMBrYg4d+przeE001jh5p/J+W/NAt8veUdE2ccFOgFtnG2+coNTSUjvRMlELc/PGOy5ElyQHgtZNHTtm6ktvuEYBJ62IG2R3NpTvH6wYKmvcX1lWUba1gSMJgQ41WN3gNYcGYaSOMxFkiJAq1M6shoaOtpcPlo7PLYfNg6vm9MsznS3XW5pPd7Zscl2orGiDMT+NpkQUpRpAnhKvCZ9Hwg49TnlNFWgq/UDdqgBK7mHGmrfEXqV3tC7iE+TCvwRUFC+eda8tLW4Q0FdMeM2nfSF4+dec/wv2aZc98xheBwKbj/nX9FVzfmYx8oSYS0BizZh3gaxArCSg8ZqR1tfEiOzNawZCcjzrXD2gJuBmmimdmE1Cm8oH9/RgTYXX/ETYBr3FOIimuKBPBT7Ok4zjE/cH2oGRQHw+ldlcQJe9tE2xQxf6mr5jq1ZNtbrPWmscmkA5gvARS1yqJWBN8Jq5juLLZ33joXPcHqvB2V0wePpgVa/TWtnWVdbt0pGha8OxsqHTO4Z2DFXtOD00tAOpotIJR5lmIyJT3hioq6+baICnFUgNjO+U3Z5fMFFWd3BgpLS54v7WSciQjG4Rf3LOCaw54DTSZaTZRlgTimdzk7VDLw+1TGKe0Wh3HTtdX9/ZcmNwaOZ0S7mtfGS6rizfzj1AuJ+xJuIGCdug+I0bpDCaWjeIPlA6IoF5TbVPsFOBoQF3+rMeiufzOD/qAmgK+apwk3nNWOprPu2t99gGMe/5tFMDOyZ4TXNB3Y7SyoJjWoxKvDKBlSPPjrEEJNaMcQfI28dOApq+JkI3R0dfUwzR6igcjrWeo+QQrwlwiaFJLZMGLF+smUb+NQWvWURkJshNREyknFeaxNRuuw7YyQDgE2LPeHhNioeuVizItTLeqkMwI05lAyVqzSZeM4Gw5jxekxQoaarbaMsv6Dx4sLI8cXhiaHDSzoHLncMjVcCYp6vagDeBOOFKE2ZF5MoFPGZvc9fMjkZ7gw1MJcCj0eWcm3MOt9TNHGyeqOnOt9nhuZ6MfpyFk/ntg9NDI+2Tzgany6AD/hSCdV1s7nq5uXGc2Es35tBfnmlunOzo7GrrzS88VtE1VOuEzToqR6EuRZgURV/zXPzqa7L8tU5g8SuAkvo3mXlN7mk6pBzmbbl4pgRUaCkeb68tyyFFXxMPUvzxmu1lWjz0EL84fC4X75DGa0r/mj7SWUwbEmsupt6SdQ2rBDReM9Lx0AH7IsZrUjx0SsrAr1E9pLgJV0daykxbpcRDf/8tJSQHNA19p9BTU/NbRmrLyb0d4BMU9ENJ7PNo1809Sjx03yE2YIoLzWMwrWFO2vTaUIpXeM2e4rGz0NfU4gbBxoCtWgEW7cOlO+oGjpmHOyo6bEYrELcZ+LNFzJ1PDA4O1tZOTBw/5qIYQDho6DgNu57ehzYbFDPhOhPMpNkwml+AvWWNhdDxNNsN1tTJmuM0CV/b3FVXNUC5ymP5FCmeB8rJ3qGZmdI7k+ZUt2G0vLKuvqt0a0PlUFdz92T7xNBMVSXUY8lVIRklMfZfNwl9zatn4ti/pqc3lG7wwZOS1wz48dZeW1zJwvUs6cEXWw7S14xXXtPLDj3UH6m+3zqavuZQaYuH15R26L5SWgRbEmsugk6SVYyMBDR9zWjwmhQPnXyqY+DwhV2hbWHGGIymSoEIDIB7gEyiWyEJsAlf7h5e839cBv4C51l0aBp6knuyZWBiEwMes9MYotQFr/kGbIMioK9JLRatJmNoOHyiNqPVSRbS13T0vHn2rre+JoM+smldnpjfUUWhf3pbBnrtgNNgJG1ml2vO5nROjhc2XJh05k/abOyt3W02uM0TXfXAmqOJRlicg6oEfjTbjc6azrqZge45g93G8993EBgI6XTXyy/Xd9XVddVNj9SYAWxZB7O8cnqmrnLyLasVgT1rSrtm6mqH8wfq6krzJ3vbumaa9y+DniagMBsSJVJNide8d/vjv+6LWzt0IXu1E8RjTX0gcimC10THMAaVvGZA77j6OovH22srzvU1SyPDaxKq9Ohrarwm9oX4/SQvj64EJNaMrrzl3eJIAlHlNTkeOoE/L51KbzYj2Lw6FvHoz6M9IwCYpPO0uoY1M8kOHfqa5F/zCLxBQlORYtr4EpuG/ImB2m5yb6e4NgmhtxR9zQ8+jYy+popr0Exidan5JEKyDUpzgNdcQ3boNG1OflMwWuHPbYCC6hQMy7uqJgonyjrgJxN26Haj3Vk+PHz92I07NdeHu9uHa44Nkx8ihJk0Gx7aarvq69p6ycQn1e3CrLob8YGM9u6qrpnacnLVDj1Os7W9sqyzubmzE2znwarmCji4r7xoNiNiJ8qYOlZa1zXU6ARwNRjMHVWgSQsudFfMnK51XR+sm6kbHIZfJHIm6MGai0Zf0+fhw6PNUBO/bwhrErFO+B9Ik3qGF9xFMvd0CbAUBdDkV5nlSpJV9TVTY2WH/rRvA2879KedF+gxvMFIHv+aMh56oBKMl/Ml1oyXnpD1iLoEos1rRsIOncdyLBhq8mCvZBNgNSTQJg34Przm+9DX5KgccO3D3pjJ4Tgn44WJgYl2GLpgWjfk7vDwmpHU10wwwTKKXNlzQiCbkqQ08JrQ1+zzihu0HAwjmZwDHLryR+qmy44NlNZMwv6Jwku6xveLyXNMn7dMTAwMTByHOySKvWcw2qCZ2dVWMEfx8kBomgudiPNsn9yKoJOD5XYzdDWBJ62TNR0tHZUttc11BzsHKzs6KiuPTRrNLtJEsJv3d87UVfTa5hC0z9k9cnDm9Mjw5NbOmc4OZ0fnTNfpjgsuI0L/oUugucCUsmKH/ssri0Ffk545IfwkWguWmbAm/LpLXjMgQlM5WQXwAm56bWn6mvjdFH/6mt0R0tecx2sqvtzx2zHkLyhZQFQlILFmVMUtbxZPEgDWFHGDoqGvGSleUxBGDLR4cFKoJax6gDUZbTLWzDyg8Jovvv/W/xCRBnRDUc2NLu90obK2chwzVtBODLWnVDv0iOprAugAaxKqNpmo+Yw11xKviTl0T9wgMryBuRMxJEbjf7Uc7BoaHGTW02CHwU9hTcVBmgI/eBqrLsyBTze3OIH9YBZunGusAiu5H0qdDQ02nbnw2LDTOOXsLa2rf7n0us05abaS8ism4p02lzN/Yqhq5Hr+ZP6FfBtZVxFpPOVqOT0zPXDDCCRp7K4d6qor21p4oWWobqRguAy6m0MF45MuKMiyQoOV7dAVfc1P4te/JiSNRAt+5kj63kl/ePeaV2iH5DWDYHI9cmXpalLWx7W+pseXe5gnt3kK/TH/mvQqh/oNJa+PqgQk1oyquOXN4kkCCq+5bXt2FOzQIxQPXSVOMKbR8A/tTYpWScOViSKlE96k/XoTfLmrduhFRxDMBkSds7238bhP6pioKKu9SOEVzXBzHmLy2KFHVF8zjZspSNwEjdcE1vTlNYWfp+WYGXdDYbNuaOK6E+QtzVtbbe21FNG9uaIU4d0pwHvzQKOLYp7ANGjq2Mh0Vx08cRpddlvDjcbKgkmbs7yyGdPl8JJ547qToCYmx98yzk09bGiZHhqYtM/ZXQiCDsrTCMBuH0dUytOV3VM61+SdlqqDpys6Jp3DA6e7BjpaSoE8q2q3XrDB6ojm+oGIFf+apK/5CfGa6WRYH4fx0JXfNQIImdI9yUQb4DVfyUmHGy6aPOd/sVCfVrl+igS8mEx+dVnU9E6zviZsgwhnLR1ek1r7BH1NyWuG+PUc9csl1oy6yOUN40UCwJpRjRuUx0NHePU1PWOWQJgY6BlcYgrdIUCYgjUzD6w6RP4133zx/fcBjzChbB7vrS2tKCstK9P+KzqrKiaGbZj6JdYztH5S7dAjqK8JpIN2UjM5TCdN4fIcenGusEP3iocO3AfmEIOW0T5XADdGByvzG1yI7QOy02221TQWFDQ2NhYc72jcX9Bb0FgAVU64coeJ+eh4I1QzK3rHnTbneE3LyGBj9/CdgoGK2rIueOHcvxXW5VB9RdnQf51z1tYNDbrILTvwJ+zQzWbEEqopq5sZqhx2NrT3Yo79dEVj+X+5sK+udLB0pAKgt/T4BZuYO8dVAmsKfc04jodOv2W8ec30NO2z1oT8FeI10whrMtKU+ppP19D0PcrC1QCm15bj0B9jGw/9aV8IUfavSTPrT6uOPBZ3EpBYM+66RFYoWhJQeM1oxQ2CHboYODz4MIw5ZfRPZw9IuE8CeE2gzdxildf02KG/+OJLiMXo1jnbCyqhWsiJ1vTfsn+4gXz9WK1uCnscSvLwmhHS12S0g3aeB9wkd/agcBVek7Dm3WtnnW8RJcIxleFfc7kbxj4Iem4AVXm6tMY1B4eZNAPunjI4J+Eec3IyH/8N9N/gtEODEpDRarCNT1TNnG4erDzeMlh2v7a3t6OsrWLw+LFamJ2XNebbzNABJWiJOXO3rXJHFbxlwtDHDTsk+Mk3GAuP1VbV19eVtnRMjFS0VXUO9F6wj04d6zxYN1QxUFs2M3OwtGAStuwUWJrm0VGUGjdo/6LR13yM1zwMXpN/9TCdKe3QA3rPn8Jr/jW28dCf9m3gmUMPLwgkTIlXQo0bJO3Qn9YJcX1MYs247h5ZuUhKINq8ZiTioXuNYoIKEdwplsz3YWpZ7LCkZWr+NV96cTm7Njc7yy9e7B7m/+GL4tN9wUn2QsR8hsgbqPqaSjx0r4oiG7AaG6N0D8cj5m4Fr8mRkwhoIgmsCZDN/jWdBoxS61KLdPg3HDlCc+IwsZ+6XjvUvP8CjNJB7oK/RVtHrYmjCOz+lnXZ1Oio8a1lU6zdSdOVhinXsYnmzrbmstLS+6UtvRfgl7Ot9Hj7ZEFzVdtADXCl1XAkNbUIwYPcU66Ooc7aSXLEqTvC8dANtvLegU4EKiodGBy5X3p/sONY/kOrdbS7tLOqebCgoHbodHNHt824bh28uAs/7lRj9q+5axHxmpC+T2JeE3skrxnwg85mft5wU3vUV4LXZP+a8WmH3l3WWdqeSr+7Qvzi8P3KR3FIpK8p/GsqtkGS1/QV0yLYklhzEXSSrGJkJBBlXjMi8dBVCMfTlD4YjqJXFrPXGZyTkZGSmbkZPo/2vPk+mq3JMzExcbnvv3Yo5IyH14S+JqGOEJMyE0ulsAsdJZOUlJmuMGc4Q9ih98C/JuKhn3cDLq5YUVSUumLDhiMu44rUI3bzkaJjg2UIOrnhiHvdEcBEYDs/acUGXLlu1H6hprK0s62zdKKg3FWU/0bLxP5No4bPEEO9ZpIuRyHuI0VHXEd05uOnO2svmOkyo3kDDpnPXyxoGRwZgIP42l0dBcOT5iJ2oDm5f6K24wYsjWprOyY3JHrfn0pU4gbFF6+piJulz/L3dALR6NqHcBLZoedgLfU1SWoBJm+gSb+fxG9ICFPT14xPO/Qo+de047chUnjZ05C/7GQBz5SAxJrPFJE84XmVAECXsEOPcjz0ILiOZxKBGM8UuKmObHoTBa5kFEZYMyEp86OP20hf0wtqRrJnPbzmKcyhz8OawYiAm6g0k5ol2ku0j5rHmrDm2tzzFKMS/jW9sWaR2Ww+AlDo+uz4SMtWs3uD273CXQTFVf9Yk8HmBrerof3YGwUF1z9704bLxy8OX4BZkevCxe5Cc+oRA5VzxKwrMh854r5RW7nVdsRdVLSCUGxRapHR9uZnYIwvtiONv4kJd9xQl7rCnt9+8bPzReaG9m/HXSu8oSZDUdbXjLu4QYTw1YeMHyt1mwCRbyKsyXtEn3FPBdPlS/IawugawFSBJq1V/5rL49K/pubzKLy8pphCf8y/JsPNSH59ybLDLQGJNcMtUVneopEAUNeKoje3bdt+OXfRxkPHYM5JAC+GAsoATVgTg5Y4LHjNL/d2fsC8pofYjGBneXjNx7GmUuuAVtxEBjmEerQMDcuaCBRe01HMvGaDwJoAfSs2YA7d7LKfHx+/uL+ldmv+OjcQIRagJJ8y5Ye58aKiDetWwHzIaTuC9ZEi9xGXCyW51204YtwACyAj9qQaXEVYmYsaLn6bj8wRKIEe2VCE0tdB49Pt3rBuA0rBRPmG1A2ApsSkgg2FZXzRulTcwLsPGGsyr7mL7dBN6+PFDp1k7BE0P2nqNiMjQkP0UXjNVzIoz2fwVeLSgDp8iZ7sDTQJsAuhIgNe88vPSLEDaYnaode0T5olr+n9hbF48hJrLp6+kjUNswSANaNlh+4TDz0SbA0DAZ/xnLAm3B+JAZuxpuA1febQwyxR7+I0O/SPTj6ONYMRATdRYdaoWQr2JEQj8rSPeM3iVd685vIVqUXLVxTZbEUbjtgwaV07MvHGpDvVbC6CRU/RM7BmKiFGwM3UIrPNsGKF2YUp+CMuG65dgUMr4K/dvA6qmeA1U9cdAbMJjdB15DAKqDS16IjZuAE3J7wKayvgXZj/oCgkwgtFgL7G1HVFZp9YoIQ1171J8dDjTl9TwY38RGkL6gQFD6mYCB0iec1gHnDlGgWvC9Suondaxzev2a76co8Irwl9zR0yHrr39+uiy0usuei6TFY4XBJQeM3o2KFHKB66gJIa2PIa4nx5zRz9+rRD73TufQcxKl98CSqakU8eXrPksTl0tdqBrKltjHd4yWiHNon34WK47UJfU+M1CdixHTqimIOc/Kyys6K0tmDcXKRDbPIVcOxONq7+nic4RCJLB0BSONCEX06sMGW+zn3E6C6CnRH4SR3mzRFfiOKZ67BhprifVjM0NxGRCZcZcApWR7BCHoUgs2IF4oPCeAguTo1HEJky1YBAmZ6USFcsQn1NIuA8FBxhTQthJu4v7h7RR4H091I9VxWjB7sL2Ale849xbYeu2AaFV5Nynh26xmviNfG8NTK3CCQgseYi6CRZxchIQOM1I6+vmbIvYnGDBLzEwMxYzDNAU6BwjdfU6zMz1yIeeucb+fCvGXmciTuo+ppvf3SqOCli+ppotF9e0xM3CPCO3BdNDk8MNQ/s30QuhuD7ElGWsfA/ZumAHekoUCF5SxLwEuevA1w0u+Cdk7yxIIy5GYiUsKUOhCbs3M12HRyUmoWbTZzhJlQKJ/LgPKk4FADgStkiKw7By5H3001Yc/mbv7TBl/svcRY3SMGNHuRIOXroFJCpYiNAf/g8Osf0HJ8hnkzxnMrlMyXAghPCpKXKb+oTOG7QOuLEE+N5Dh0PcBgT3gekx/Q1pR16GGUcnaIk1oyOnOVd4lACmr7m2HMRN4hgptdApkSppr0g/yzpmbPgNTsL8t8HsRkVsNnb2dd2++a2w4dO5s7HmkGRXNQ2+kPyztBwrOzEGV68pm/cIAoDZLa1F2y9OGmj8JHknAVY86m8JoXzIawpYCMApxveORl/MpFJh5aTPiZOQ9xzMJsUNZ18FyFGupEQKp3LF1MhIpHXTh37yocLeDfq8fgcuhIPfVHpaxIZpxJy+gTwmtDXROL+4u4RfcQdJRdPlYAqRgEzPVuYQ6/Z/9kGqGXgYVo6+prCOOgx/5rhZU/jcHR67qokseZz16WyQQuVgMZrLup46AJeYvRiLOYZxTD2EwoTYzyw5mzxRyrWXBaN9NIbndfadt384NMY8ZoUDx3O2q2JqToEfpyyuzCHbXAVOl06HZxq0uS4dQoBf4AM/SFvQonk9lKnQ8aKaXFMkQNrTk3RhDkhRjjXxBIT5gb4OLIbUeYUh5lPnQKHmQpuE1gzMRHF0M3c7imURA4+wYBSfCCcC1SKOvjcH6euK2R9zXiLh67gRg9ypBw9YPN4zQR9ButrEvjkM/gkXohnVS6fKgEv1E5wU8XwCZhD/+uSjRuk+decVHwe4T1Z6Pe8PC8uJCCxZlx0g6xELCSg6Ws+n7ymMtYLOGBJWztL8dCZ10yMBtZcRvqaZ86+cfijkyXEa6rElhhnPZh4wTm6UCnFO8OImgrhgr15zY6Gt5aNjsJ1+pQ1caqhYWrOZZ97aLdjD2FN67JRw6g1lQ76SQCJo4Y5QMw5A/AlFlQWksFltI5aR+dcNvvDUd2UbtQ1hxl6u3GKSsNiGQAkSjXMTeFGiYl8zajBbjfPUTKMKjwpSkItkHxujzFU1dc8h3joi8UOnUhMlYITtkEW2sH9xT2vdv+Cu3vJnqiK0ZfXxF7NvyYekTjkNSPkX5NeiCfEDZK8ZiyGzFDuKbFmKNKT1y5qCUSR19TvW7NmSx6Nvjz+PpXXEKApwKWCtbwGaNxJhXXI5hbPFmMOvZmx5gtRSC+9/8ZeYM2be2LFa967drxhCjgPWG/K+sKUyzUKnDlnnXoIhEmIEbSiYTQxEYDPB+t5bbwAiMlJnI4zSdESV76FMrCaAm4E5JybM4OaHJ2aMxqmcIVSsnX0oXH0BbqJASCVzuNjVBSFKJoDgEXFCHp63RFZjKusr3l1UfnXFAQc/bpBkvqaIb3fGpMpQKeH1yQ79M+gr7mk/WvKuEGLdcyVWHOx9pysd8gSiCqvuXtNROOh0+im4E3PQCeQZwI0N02O4gPgNdvAa/7f+++/FAWs+QLPoZ+5ueXTj8ZYX5PqN79qooILXHITBT2GpZbxz2uedT5UeU1AvYcGw0MAvBdGjVMAe2An5x6CqAQK9Is1RwklgncEOqQFcm8BrdIWMCWtUDrgotmOgrAFHlMBp0SB8sW4CRLdjZJaEgFQo33OAGIVROs8sEkkDtmh37v98V/3LSZeU8VEBDaFvib2cDdxV4n+WmBXL+nTBMRUl54126G3k3/NpauvCf+acg495IEvNgVIrBkbucu7xoEEgDVF3KDI62syrxmJeOgqesPozFjMZ5QWB6FPZ8rtKZ5dhTl08JrAmtGYQn/p/W2wDQKvefijU4ptkBfcUKsdyJqbqDSTiuL2YkFagZynfV7+NXd0aLzmMkDFhzb76Oicc250bgocI1AmT4nPTSX6x5oEDxMBLIE5BSgFYJwCiKT92AE8Cb3MqTk7aEr7HO4hdhKABQR1zWHTClxLuxFgnVaC46QrkVAGzpyyG32ITeY1nwt9TaI4RZ+pPcXdRBvy8xQJPIHXpN9T+oRc4jXZl3s82qFHyL8m/faC0on0rxkHA2ZoVZBYMzT5yasXsQQUXnPb9uwo2KHD51GT0MDyglwYisOUaOxC8h3CRNngNU25Dsf5YqGv+X9vvf/SS6kvWfGPxAvKhD9t23utj3jNzWO5hDoUeCiGzWBazU0UwsNSy1CBXBy3HZqhmbnV2Rw3qKOQ9DUJVQLlAdQ9tEKrksDfKLAj4TxCfwz5CPY9IeHYMpxDLCZWlEciUlTsx4GHb00tewiq0/DQQMdYN5MypOgJlU3ag4SJelEEJs8ZZoqbLqOjwL0v0DlqopG18Evwmmc++fOH4DWTLBZ9enrzH08vAAAgAElEQVROCeO2YMQWzms8guYnTe0EdIFI4gFX9DVpp9LrqIO4NJyVeV7LUplMVZi8JmGSvmZ5vPKaxotlzSPtbljLGX0cxoY6PpAVHwztbAV1Q4ovdwO9IsTthlq0vD6qEpBYM6riljeLJwkAa0YrblCsec0eR3ZxNvs82mSDkYrZTov/+Z//QYxwLCORzHN7BNbcfqIpz5KkMFxks4zESMUXFz97SwEsGuRUMj68pj7Jkp7lyL7syD579VrlpIHAH/2RsQ5DQYEXkacMA0Hk/H3oBDrH6yItK67FQTVRISJ557hsdbd6KtbKOcolngoAhaaum/wS/jU//+SD9040leiBNRPSATeTgxLas8UayBnix4yKHAk+0tXoUMJDKjZS9TW5oxlkqj0VBy0IpLUxOpeRuxCmJlQ85Bw36B3iNeNSX9M8XFEx2G40Wq2IhhXGZHVbrS5zom3/9I7SyoJj7ZPk15agpq9f2ngaV2RdnigBiTWfKBa5cylIQOE1oxM3iPU1iZ1QWLgwszI8nIuh3zNEinsQr5kG06DZQ192Vu1659jw8N9u/I3Sdf4gcycC/3/720TftbbdH7yyb/POJofGcInRMyiSi5uoMmuALZSwJIyj5AF7LHkW4jWz3zx7t+9mwxSH4cHQZIV5OLm4JDbE68NZr23vY5RXLvC9SJz0+L7H94ginli+stN3hfPhLUmXev6Xvr57u345vO9EtomwZjphTdFIbmnMFh5BM2xUO0FBRyohJ/U1Q+ogVYwCbipbKq8Zt/HQrRcrOktvmBG2QLgI8/pdFWIWvKY71bW/bqissuCOgjXhr1ZizUU2Rkusucg6TFY3fBKIIq8Zg3joGO8E6iR9zbTi4lWzm9/pvLa37C8D3333l2iktulre8/uObf9oxNN8H/D1SGoTUmpmQcVLyTHJYhGMchRsKcvr2lpyjOZih3ZJx/c7Tve4EaMFSTyb4ngkCuW8x8ySsL2vD3qEc8JdA6f9/ihZ+7hS590sVqicszrFNi2u60Nb/Rdu3rmE/g8auI5dPCa+nS1Oxciqkido0ifVl69gQ5VfkJw56r+Nbmj+VS1p4Lq9ki1JW7LVZA7oUshVs4gH8fx0K1GXXlFW9mwEQ5o4bE2jAm+bQFeR2kOHVgTvKZdzKHjFuEbCWRJUZCAxJpRELK8RXxKIKq8ZtTjoQs8QJCAeM207LHs7Z+01XWpaUbNdCEXiT+UP71398fbPvzoRF4SBcsEPqGxM81kCo7aVRCLgnJUim0er6lvaqo2ZR4o3vTg6rWzDVMrUouKitwgW1I3zEOGcboJh5s6dyGw5t7vdv9y+EQ/wnsyr/l6utafJIAYJVXo1JXcn1wPlYBTCTmprxlS96hiVMXKa8Frxm08dKPTXF7WXNaNAFo2DxgMB+REHFfMy+ucjcCaLQXHuift9DbTHILEmvE5rPqrlcSa/iQj9z/3EgDWFHboz2U8dIx3TN0QvWRKW5udPZu9/cHR1+5d3bu3ra2tr60Pf/zBgraVRfgyfW1Xb3+85dzqEzsdWQxSWLPPZMKMsKhZgEtukBfIUdCON6+ZkJDUmpdXfKC4ePODe9c6GgzMaxLWLFosWFOncx8pfKOq7+6ZT7Z8qPCakNgi4jXxS4LjodODJ/pM7akAO5wf36V3zTN5zTiMh25wGcrL2jqPXx++Ax2dG+FMKA1/W2vrTpNtUHkDYsFiUp71W577Eeq5aqDEms9Vd8rGBCIBhdfctv1ybmZ6eok+WUFn4RnePEMGERPw5f5BbOzQcXPiNaurZ1et+ujtbR+f3f357aOcXhOriC1v/+mLba8c3rxz59qsBIYbVJX09LS0yPGaIFBzHbnFPecvnb3Xd9bpZvayyL0BKU6JzHnVQvRKN/GaVV9//ssr35yohrET8Zol8W+Hrs75AmFK/5qhEJtP4TURDx3PC3F6cRY3CGFay0urTpfW1tYOTtQO1g6G74+KrB0caO4aKq3svV7unEOwLUSIhW6zTItKAhJrLqrukpUNpwSANaNlh56yDz6Pohs3SAPOxC+t3Zg7lpt98sTm1Z+e++DjNbt3f/XV559/9dVXD/AfqbQbpOa5wx/ubGoyrSdeE3ATNUkjrBkUml8Ar5lisSQlleQ6srMvffJ1383zRzYUrVixrqgodbFAzRVGmyG16M39fTvu7foCPo98sGbseT6FVaaVV28QulQ+9KxJfc2gHm+tdyFAb7hJW7QrrvU1Yb/TPVJVd/r06YMHpw9iEb6/6enpOhQ53VU10FgzPO40cmBXnkYP52Agy4q0BCTWjLSEZflxKwGF14yOHXrMeE0AA31C0sbi3NzsEyd3bl595dy2Dz74+ONP8HnnY6R3OEub4f18/PGebefevrL6ZFOTIymJ0QkCGCWlIUWO17S0JmU6HMCaJ2/eu/b93y62f/tt+2fffvtZOyVaxvv/xRvt5e293x+8du825tB3+mBNwnexTQwxGUmpC6oPKxQSIgIeYmSkR9ygcxbKcrdrwDS2lV8sd1fFqAqT1yRMyyFFXxNAK854TWDN/MbBsrKK5s62qrCmoaGqKvqvqiqr7L3Rne+EaZDgNSWxGbcj6xMrJrHmE8Uidy4FCWi8ZuT1NWMQD11wUMSWEApISkrOyjvVdOrEic1Xrpw7d+6VV7ad24IlLbDy+ffdoqNB7dn2wStvX/lmc1NeUx5AJoETKI6C1Ywor5mX1NNUnTu76tLuvV17v3/QsmtXS8sD/H2O5WL4tLRUVlYOXp3ecXfXJzSHnp5ETo/wXxIcGayxZQwOQ90SzxTBSwJutFCeL8JDKjaS+pqhyZrxuhCmJlTOUNwg8uUeh/41oUJpzu++s7WgsaOydiC8CRPoA/ir7YBlUPmkC8rX8CshfR4tuhFaYs1F12WywuGSgKavORaVuEGxiodOvJMFboey1ublNO1s2nli9b59+65c2XcFS7Ggba9/3y06Etye7R99dOJkU3UekoWsRFKgOCqwpuDHaFcAiWAN4xteiiKwJIzDpdBxzKHnnqpeNVv85s1709fIAEpJQ2omztc7dgwNDe04WNf39YNfzn2zszqNsGa6vgQKmwGIKlKnegTNcErtDQUdqYSc1NcMSf6qGAlfUlLXHDfoM2iDxKG+JphWt8t5oXz4WE1v4/GOcKbKyo7KjsbG4/u3HhsGrekiXlNizXCNgVEsR2LNKApb3iq+JKDxms9pPHSVxcJ4BbeTlvUJt3JymppuNe3ceUKknScoR/9ahjd8toLes/PkybFqJEeJpRVYE7Uhg/gI85qWzOKm4rWzxSe3ndnb2dZWde3gtR3XkA7SYhEkUnhDlfuu7vpiy3vvqrzm6yWLiNeU+poMxNW3L+C1gtwJaBLM9KzhX/MdjlGZGnfx0FN1Vt2cyzYJtHm9ZitSb5g+W3t7Cwp6e7durTl2o7t706TNDoebEmvG10C6sNpIrLkwOcmznkMJaPqa0eE1YxUPXejTYSY9JSUP89m3fFPerYh9VmVnr6oe21m9MTOBY1QSrymwpuDHAmR/aNBWmTSvDA3HXBIdb83L2pi18UB29uVDn2755MHZXUf/8vXX9/G5S4tF8LlfWlpWWvr1yK79vxx+912F19TrgTXhJSHmySNohlNqbzAe8qbgpL5mCF2lMpkqn6nCTcFrxqsdutFodNmcDfnl3cM37ty5cz1Mnzs3um8cu3Ps2J3rN8rHL0w22MxAtRJrLsbRWGLNxdhrss5hkcBS4TW1ce9WRkZexq0MgM2cnByCnLzwxZ5h3Hq9pOT1kty83PUEUZjeITxCSWwFuORCREEMchTsyUOxOi5bLJlJazMzc3OrT27efvjPf/7k5oMHn39+5vNd+Hgl2ozPz+e7dqFiX539eMvhD989cQrKB0jp+pycIIXGYg9Q0P6vUaSvIH21W1FDkr/aB1JfMzR5M3IXwlSFKtZxHDcIgSndBrMdaHMy/8L4ePmmsH3GL4yXI40DaE42OO1Gg8prSl/uYRkEo1eIxJrRk7W8U5xJIMq8JvQ1WQFLkEMaAAxPhoGXgui0oU4pWsUOKSmEM8UyjJDSb1F8+2Tm49Q2e6oSeLO5iaIgLLUMIx0V7sC/JqXM9BKYQX2078PDr5DJ/ReffPzFx198gnX8/lHNKH2Mqn78wZZzh/fBCX5THrQPEigBzgUusbBfoQqd5c8LuoWKi1RCTuprhiR4VYxCrOoWnuo4tkNHfPJURPiZswNu2pyUGsK0VApy2mw2l8s+NUUT6BJmxtlIuqDqSKy5IDHJk55HCQBrirhBkdfXjEk89PnATkUKGAlvZaRkqAMiMZ1h/3DhjA6RoxuLyqj3VKsWyNqrIK1EKpZ4IBXuJDGah9V9Sd6pnSc+Wv3hlXOvbKHES68s7fszLeJoydXhxblzVwA1QWvmwQhdYM2E4MjgQAT87HNFNyodoXUCYBDJX/QB5TNoDp0wv4wb9GyZPnYGBOh5oNUHm9ZxzGtieAACpNDlU1OGh3Nm+5z5oT0sSzvgq90+N2eem3v41pQOsdEJa0p/R4tvQJZYc/H1maxxmCSg8JrbtmdHwQ49dvHQFZhHNFQy4QOxpCxhwJQI6AGiSK14cRe+E2MUMbTSjQNNXJIoiFrBl2PJA7M6OkMxlFJCUkpe06mdO0+8u3rfh1f48+GHH1658uE+bFxB9sP3aDu+llQl1E54CHj3xM6dp0BrCl6TGxWovCJwvip0lj8v6CYqyFQRkoyHHpLoVTGqYlXhZjzraxL6I/N4kXSjo7pRnXXUGobllJIYY8IsiHnNMA0AsphoSkBizWhKW94rriQArLkU4gapA59AeRwtEll1izIJCclh/ROlEx5UwYnIiy2GJ3xMqcMC84Rq+F8BOVw6FsQDqeOxwmti2wIzqKYxwpuUxJKzymIzPI0iuzmOlqJGXL+dOxFuiZAm9DVpAp2cbC5QTIEJNbCztS7lnlR7g8C98mFQLOOhBybVeWdDlJ4HWn2w6RlX/WvGYTx0ApqAmh68uU7FnaGuNQDrKQh3kWnxSUBizcXXZ7LGYZKAwms+/3GDFJTiA1bUfbzGIiJ/KjSkwjmpw6qyGdCKrlUK8s7wwKzCHUVfk4ZrS14eHC6NjY2dOjV2qqlpzPuDvU38x3sph82YL7kGTU1NqC2AJiNNhpqEPfTCQ2lAAgv/yaIblY7wdIKCjlSEJPU1Q5K8KkYBMz1bHn1N4K+4ixsEKPgEWOgBiCHkHis3TN//spioSkBizaiKW94sniSwxHhN4DSvj5L12uN9NNQ8FauRYFpeQBUaiIO5LV+mFKqVjoII6ajjMqMegmbEBDpyc1sdrQhZ6XDk4s+THA4L742/BTyR4pMBPjPDgkQNW3S8ptTXDOrx1l4JfoY9fCb90hDPuMprxmHcIMFrKqCQZ7rDtngcwsbTGCLrsmAJSKy5YFHJE583CSw5XjO0MTCgqxVgqOJNFWWqAyrhzUATXUt/SN4ZHoqV8ZgZQOQZo+ktjC5NJpO6RlYkPiVOFxkpK2G4BaiZYRG6qGIOne1sAhVZuM9Xpc/y93SChvBVyC/9a4YgeQVaCoDJj7KAmx59TXCE8cZritnzxxjIENhMz6W+pcoZ9EU6DkusuUg7TlY7dAkAawo79Oc8Hro67ikIQcV7kVwLUMjoEHcniCLu5qlK4Hf3KkgrkYolpKPSQBrqoYxgBtPTMV4zRxin4HJ+tdjuXLFxorx6XBFh4IIL3xWiG5WO0DoBFST5iz6gjZTD0g49+N6iR1cRpipUsYYd+pdxGg899C/jBZTA6HMB58lT4lICEmvGZbfISkVDAgqvuW375dzM9PQSPcynwzcsi5GXl7TYt3tN7OKhK80Ka/OeKiocpJtRIomqeU8F+FCACy5JLVQr3ccOXcNljM+UWWjaacHHOwV46+idDpThk1Bp8STFPa/pQUhSXzOk50XtcbXf1bWH1wTRF2+8psZC4otby4crE43BQN4j0hKQWDPSEpblx60EgDWjZYeu37dmzZYmgXYYfoUR1CpwTl15xjn1HuoedZtB25N2ep8QeF4tUSBLgTA1aKg0Wj0n8NK5JK1QrwwPxep4TPylmmdeExuMNUn30Sup9Yi7NdUeab0GOLFDgI9gRBbua9SfDuhNJLUT1ApyVamy0r+m8rgHJX+tx5V+18Sr+teMQzt0xA1ib0Q8wY2N8CWORxm3Q4is2MIlILHmwmUlz3zOJKDwmtGxQ98NrClQEI/T4QY5NKrx8O89vCk3UXfxptjQxkLllHCs1NsICCKgiApO1Dar5wRzP7pWtNInw0OxOh6zOQ2JmTjNVvJOqR6mjCcFc/+oXCOqmJSUxGCTtwT6VCUYlVr4u4mohNIRnt5QQKZKyEn/mv7kt6D9qhjFt4VnK67t0EU4H+FjHT7dw5iIHH3OBp6l2RyJNZdmv8tWQwIarxklfc0Y85oC5/kOdyr2C8faUzJBEvGvghOBOcUWnRfM/bwL1UpHQYR0xLiMjMpfMtaETTfQGp0yP1Ed4jJxS7T6UrPEBtBnUEILRtD+rxEdB8FxT6qdQDL2rrfU1/QvwQUc4R5XH2jP2uNfMx7t0OWAIiXwDAlIrPkMAcnDz68ENH3NsSjEDWJ9TcYNHsQVRrRDYxhjAO/BTClf3cWb6oZYK2eEZeUpWWAR0U7aq2ATXgd/Xy5JLVQ0l5aMdBS4Q4qZAviQgqY6bU6nzEthaXAkChH19IVujOOkvmYkxB2PZXp+OYmfGSrc9OhrgumLM33N53eQkC0LlwQk1gyXJGU5i04CGq+5NOKhPwnliX3hWXrGbRVdMjrEbrGtbtF5wdzRqyCtRCqIeCAxHnvlGLPRnZRbcXYRLLglhDG0ZmmAIyihBSNo/9cIabJQlQWdq9RW6QPUXOprhtJX9BSL7ueltpXgOPTHd5ayHfqiG2Bkhb0lILGmtzRkfklJQNPXjAavGQ/x0Alr+QIJ2hOu5CmZ7iL+VXBC25TUc8RWYEu6lgvmpSgRSx6Y1dGZgRmBHv7w7cRN1BuLdWA3jubZaIjaFrSB/pTGxD2v6am31NcM6YnxBpoeoeJJINugz1asWEHezSWvuaSGquehsRJrPg+9KNsQlASiymvCNiiPRg5gBl/cE54tjG5UkE9SS1Z2ik2fM8JaFU/JVA/xL2qk5sUWnadWLZC1d6FqiVSQwGQKymRkpuIzupNyK84ugoWGLLVmccNod1BCC+9V2kPGPal2Ap5phvZYcpL6miFJncXI3a+IVQGfK8Fr7ideMw7t0IP6/pUXLSkJSKy5pLpbNtZbAtHmNePIDl0dDMOJvtQyBQQRaFMFJ4xNNOCnbgV2dyqf/rgYT4aRjgJ3BNoR4zRGaEZn4iaeynExYmccLglXKNhCNEZs0M44qK0qfe4IT28odVbrLf1rhtRVqhi1x1gVr+VQjeQ1vb/AZX4xSUBizcXUW7KuYZUAsKaIGxQNfU3Ja3qDPF/ot7AtDOCEdbgYrwwPycq4DEgmcrRMEOhMFO4z+i/sfjE5i+utwU3RDOBM2s0tj+1S/enAHaH1hgKOqbKiqlJfM5S+YjEKYar9z1tJFsyhS33NsA4BsrDoSUBizejJWt4pziSg8JrbtmdHwQ4d+pqS19SGYB/ot8ANglmMb3hJaJMzjHQUuCPQjgZ6+HaidF+MJvbF45LRGiFL0SwVddI6DqqrCp07wtMbQuxqH2At46GH0Fnev5cgS8/DYMEc+mcbNmAOXeprxtlQIqvzbAlIrPlsGckznlMJAGtGNW6Q1NfURmBf6LewLVxMWEeDnEqGcZkCLwHJVJhGa76dKFy7M2UWdr+YnMX1VxGmtrGoeE0wsDIeeggPD3rd9zEWWwn6HslrPqcj0ZJolsSaS6KbZSOfJAGF14xW3KA4iIf+GM7ygWAhbniGVxUUUoG0V2yrW2IPbQWW+DoqjIvTMjwwq6MzDdOM0Hit3Fxc4ameuJQLirsF1V5tATdGBRpxz2t66i31NUN6rDzdLx4A5XcUfMeSvibxmtIO/Ulf53JffEtAYs347h9ZuwhKINq8powbpI3B3sBvoXlcLGArll4ZHoqV8RiDs8jR8im8Jh8V58TnUmmHqJyCnxk5L1RYkTmPBM9IXVvQtgKOqbKiqlJfM5S+YjEKYar9L9ZxHA89gt/SsujnRAISaz4nHSmbEbgEosxrxlM8dBWKaOAvDBm1TIEDBR5UwQljEwaL4qxgbkdXCqTjk2Gko8AdgXY00MMjvriVp3LIMSSK54WKNDTYQVUORmZhvkZ0o9IRnt5QQKYK9KW+ZkhiV8WoPcbKUxDP8dAD//KVVyw1CUisudR6XLZXkwCwprBDl/HQfaAYQ7TA93gGWIIk4l8FJwJzii06L/DS+VqtUK8MD8nKuCx5zWAEu/BrRMcpvat1sQL0VWwk9TWDery1XtB+YAjQST8zxDOeK/U1te9umVl0EpBYc9F1maxwuCSg8Jrbtl/OzUxPL9EnB4eBtEHCd4jxDBk0UuyT8dC9MSblA00kZ8Y3vGTsSZs8FGvjMTJiZKY1d4i4jU8nKedQv8TjR22Bwr+KKsY9r6lhIlQfduivZEC2FLdA6TPRX4H2+VI839P94gGg/qd9Mh56uL74ZTmxkIDEmrGQurxnXEgAWDNadugp+9as2SL1NTXo4AP9GBI+e4+CWuhEBcJwhodiMR7TgKyOzLTm24mCtTtTRjkbI3g8Jk8LuDEa4FigmJ4tyODPIMEzaNQWtA0hUp1Vqcp46KH1FATp+xgrWzIeelyMGrISQUpAYs0gBScvW/wSUHjN6Nihy3jojPKUYdgH+i1wg2EOgxzCO1pGFIul57g4JvYoeTro+Shne3bEU05rkNJG0TDaG/OkCh1rkphSQRVkqghJ6muG1FGqGFWxijUAqIyHvvjHnCXcAok1l3DnL/Wma7xm5PU1UzCHLuOhK7gPI3Ew2I4v8wI5CtrRVuI4byrl85AvbsVZdSHOUbfibe1pgVczRCtivVSkr4BM6k6q0TxeU+prKv0WZG/54zVlPPSlPmAt7vZLrLm4+0/WPgQJaPqaYzJuUBgAl2doFVhEIEvaq2ATBZqIPYHfkK9TC+VStXJ5r+e4OEkAISVPBz0fr5p4dsZLjiSjNVNsqA2irVgmtVpYk7TUairoSCXkpL5mSH2kivExXlPGQw/hy15eGmsJSKwZ6x6Q94+ZBDReU8ZDDwfO8gywBEnEPy09ebEl9gR+R6+CPKWLYrDNZWMhcspuz60opyXlbG07vjKeFnBjVBGKJsV2qYpXkzbXcB6vKfU1lX4Lsq/88ZoyHnrMRgp54zBIQGLNMAhRFrE4JaDpa0peMxxoyzO0quiSSqW9YlvdEntoK7DE16nIi0vVyuW9nuPiJHFvJU8HPR/c2LMRbzmSitZMsaE2iLZimdRqYU1SU6vJ6AiIE2thySTjoYfQS6oYVWFq+prgNb+U8dAX51gja71cYk35ECxZCUSR19STHbqMh66NwMHgO1xMWEcDOUpGW4njvMknCWDknVVvL85Rt+Jt7WmBV91pZ+w/ivQVkKn2xjxeU+prhtZTfnjNBLYNKl+xYsXy1MTU0dEXllFKTExcst/fsuGLSgISay6q7pKVDacEosprsn9NMYxEAtwIgDJvkFNupGIU3lQ3xDqcVfGUrIJCKp32KthE2RJ76Fhgia8TABJLLUOF8IbnuDgm7q3k6aDnw5d4NuMrpzVIaSPXm3bGPqlCx5pkplRQI95UXlP61wylq57MawLQWw79cf9nwJoyHno4RwFZVpQkILFmlAQtbxN/EgDWFHGDIq+vybym9K+pDcHBoDtcTFhHAzlKRluJ47zJJwlg5J1Vby/OUbfibe1pgVfdaWfsP4r0FZCp9sY8XlPqa4bWU0/gNRnEw7/mX/eXrwPWlLxm/A0mskbPkoDEms+SkDz+3EpA4TW3bc+Ogh06fB41KQRQJMCNACjzBjnlRipG4U11Q6zDWRVPySoopNJpr4JNlC2xh44Flvg6ASCx1DJUCG94jotj4t5Kng56PnyJZzO+clqDlDZyvWln7JMqdKxJZkoFVcVClZCT/jVD6ilVjKpYeU0L06Ga/ayvuTxVzqE/t6PSc9swiTWf266VDXuWBIA1oxU3SPKaAs+pg3Aw6A7XEtbRQI6S0VbiOG/ySQIYeWe9767m42/taYFX3Wln7D+K9BWQqfbGPF5T6muG1lNP5jV5Dv2v70h9zWd9q8vjcSoBiTXjtGNktSIvAYXXjE7cIBkPnVCdCpeCQXh0Lf1xMZ6Msq3AID4uTlLvplyh3pqLUY9574yXvNYgpY1YqQ3ipsRwoUofa66Usq2gI5WQk/41Q+oiVYxP4DUVfc1UyWtGfnSQdwizBCTWDLNAZXGLRwJR5DVlPHSB5NRBOBhch2sJ22ggR8loK3GcN/kkAYS8s953V/Pxt/a0wKvutDP2H0X6oiNQH7E9j9eU+pqh9ZRfXlPV15R26ItnjJE11SQgsaYmCplZahKIKq8p46ETqlPhUjAIj65lfMNLgSQ1PKmULY4re5W78b3UG4u1V018D8TDFtV3XuvUBnFTYrhQq4U1SUqtJqMjIE6spX/NkLtHFaMqTF7TQuprLrUR6rlqr8Saz1V3ysYEIgFgTWGHLuOhhwNjeQZZgiTin5aevNgSewK/o1dBntJFMdjmsrEQOWW351aU05JytrYdXxlPC7gxqghFk2K7VMWrSZtrOI/XlPqaSr8F2VeM1wXQpCWjd15YyA6dfB5JO/RAvublufEhAYk146MfZC1iIAGF19y2/XJuZnp6iT5ZDKVBDhHzBxjPkEHjBXy5fyDt0DUZBYPuqF/oD8k7o2wrMIiPi5PU3lSu8O5WLsJ7RzzltQYpjcVKbRA3JYYLUQ+uj7LgyiqPukrISX3NkLpIFaMCMyFcIE1asH/NDRukf80YjBXylri7NgMAACAASURBVCFLQGLNkEUoC1isEgDWjJYdeso++DyScYO0MTgYbIeLCetoIEeDPNjLeT4ucrRUAJpXVr29dkzdEVdrUTteeuoucrFeeguapc1insdrSn1NlkrQfUXQkrGlWHp4zR6F15T6mot1xFnS9ZZYc0l3/9JuvMJrRscOXfKaBOjUATgYcEfX0h8X48ko2woM4uMKylTuplyh3pqL8dTEe3d85LUGKW3kZnAjYr5QpY81i1HZZnQEgKQgJOlfM6SOUsX4BF4T/jV5Dl3aoS/tkWtRtl5izUXZbbLS4ZCAxmtGXl9TxkMXOE4dhINBdbiWsI0GcpSMthLHeZNPEkDIO+t9dzUff2tPC7zqTjtj/1GkLzoC9RHb83hNqa8ZWk/55TVNktcMx9e+LCM2EpBYMzZyl3eNAwlo+ppjUYkb9EFeihhGIgFvBECZN8gpN1IxCm+qG2Idzqp4ShZYRCG9FEgi7qSeE8x96VoujJdq6UqjsPIcF8fEHiWv3lislbN9d8bLFrVoXuvUBtGhWCa1WliTtNRqKuhIJeSkvmZIfaSK8Qm8poyHHgfDhqxCcBKQWDM4ucmrngMJaLymjIceDpzlGWAJkoh/WnryYkvsCfyOXgV5ShfFYJvLxkLklN2eW1FOS8rZ2nZ8ZTwt4MaoIhRNiu1SFa8mba7hPF5T6msq/RZkX/njNRNypR36czDqLNkmSKy5ZLteNlzT14wOrynjoQuoIrBU4PiOr1ORl0A7ylKsPMfFSerd+E6+4z52+e6Ipy2qr9ZMsaE2iLZimdRqYe2RdopKwKmEnNTXDKmPVDGqYuU1LSwyHroctBavBCTWXLx9J2seogQkrxlWxOUZYAmSiH8VnKjYTj0nGGznXahWuihIIB++KWMgpV18N+UM9c60Fud474mnvKcFXs0QrYj1UhMd96vaCfN4TamvqfRbkL3lj9eEL3cZDz3Er3x5eewkILFm7GQv7xxjCUSZ14S+pvBfEglgIwDKvEFOuZE65vGmuiHW4ayKp2QGfagLJdorttUtsYe2Akt8nVqoVjqXwXs9x8VJ4t5Kng56PrjIsxFvOWqR1kyxoTaItmKZ1GphTVJTqyn1NcPZKU/nNaUdeoxHDXn7ICUgsWaQgpOXLX4JAGuKuEGR19eU8dAFolPH5GDwHa4lrKOBHCWjrcRx3uSTBDDyznrfXc3H39rTAq+6087YfxTpKyBT7Y15vKbU1wytp57Ga3LcIOlfc/GPPUuwBRJrLsFOl00WElB4zW3bs6Nghy7joROqU+FSMAiPrqU/LsaTUbYVGMTHxUnq3ZQr1FtzMeox753xktcapLQRK7VB3JQYLlTpY82VUrYZHQFxYs3Mvf7KmjXnLJTlmvNZ4tQY1n3R3FoVoypML31NaYcux65FKwGJNRdt18mKhyoBYE0ZNyh8CMszmBOuEP8CYah5sUXnBXNX70LVEpWCeCWOC2Amyqc7qWdwXlmIc7z3xFPe0wKvuosGxXqpQEzRu6id2J7Ha0p9TaXfguytZ/KaMh56qN/88voYSEBizRgIXd4yPiSg8JoyblB4kJZnaBVYRCBL2qtgEwWaiD2B35OvUwvlUrVyea/nuDhJACElTwc9H6+aeHbGS44kozVTbKgNoq1YJrVaWJO01Goq6Egl5KR/zZD6SBXjE3hNJW7Qchk3KD5GEFmLACQgsWYAwpKnPl8SkLwmI4ZwYSzPAEuQRPzT0pMXW2JP4Hf1KshTuiiG2yGOMwZS2kV38s7ytrJLzcff2tMCr7oHLq5IXCGkyRJUFnSXebym1NdU+i3IHvDHa2r+NaW+5vM1Di2R1kisuUQ6WjbzcQlIXjOsQMsztKrokoqnvWJb3RJ7aCuwxNdp4FXLUCG84Tkujol7K3k66PnwJZ7N+MppDRLNUkVIu2OdVKFjTTJTKqgScCohJ/1rhtRPqhhVsT6ur5kqec3Hv83lnjiXgMSacd5BsnqRkwCwprBDl/HQw4G2PAMsQRLxT0tPXmyJPYHf0asgT+miGGxz2ViInLLbcyvKaUk5W9uOr4ynBdwYVYSiSbFdquLVpM01nMdrSn1Npd+C7CvJa0buK1+WHDsJSKwZO9nLO8dYAgqvuW375dzM9PQSfbIYSoMcIuYPMJ4hg4iJfbvXyHjoHvkGg+6oX+gPyTujbIuyxXFxkno35QrvbuUivHfEU15rkNJYrNQGcVNiuFClz/LnBVdWedRVQk7qa4bURaoYn8BrSn3NGA8Z8vbBS0BizeBlJ69c5BIA1oyWHbp+35o1W5pAACExdgg3uMHo9hgkUe+hjHxi03cYVE8Jx9pTMkES8U9LT15siT2B39GrIE/pSqNoJY6LnLLbcyvKaUk5W9uOr4ynBdylqghFk2K71B4yVdpcQzzThIs82CiDfB6JZ507n1sU25ovorsryJ1cRmlCZVdSiBv0ZTn7ck9MHR19YRmlxMTERf4tLKu/RCQgseYS6WjZzMcloPCa0bFD3w2sKUZjD+IKI8bh4VxAAc+wqpSv7uBNdUOsw1gDBRhRuSq6pNI92+qW2ENbgSW+TkVefBdxH5SiQB+slJwoma4QF3BGbCq7PBvxlqO6i1p71V00KNZLtVpYsxiVbUZHhC1VuCn9a4bQU6oYVWHymhYcD52wprRDf/zLXO6JdwlIrBnvPSTrFzEJaLxmlPQ1Ja+pjcDB4DtcTNhGAzlKRluJ47zJJwkg5J1Vby/OUbfibe1pgVfdaWfsP4r0RUegPmJbI+CEI3eprxlaTzFyF0CTlixUldeUcYMiNhrIgiMsAYk1IyxgWXz8SkDT1xyLQtwg1tcU40YkwI0AKPMGOeVGKkbhTXVDrMNZFU/JAosopJcCScSd1HOCuS9dy4XxUi1daRRWnuPimNij5NUbi7Vytu/OeNmiFs1rndogOhTLpFYLa5KWWk0FHamEnNTXDKmPVDEqMFPATdqwHFLiBkk79PgdVGTN/ElAYk1/kpH7n3sJaLymjIceDpzlGWAJkoh/WnryYkvsCfyOXgV5ShfFYJvLxkLklN2eW1FOS8rZ2nZ8ZTwt4MaoIhRNiu1SFa8mba7hPF5T+tdU+i3IvlKQO/0u9eE1pX/N535Eeq4bKLHmc929snFPk4CmrxkNXlPGQydEpw6/waA7upb+uBhPRtlWYBAfFyepd1OuUG/NxajHvHfGS15rkNJGrNQGcVNiuFCljzVXStlmdARoxNiI1lJfM4ROUsX4BF5T2qE/7ftcHotrCUisGdfdIysXSQlEldeEbVAeDcPSDl1gqcCRHa4jbKOBHCWjrcRx3uSTBBDyztKdKYlzRD7+lp4WeNWddsb+o4mOZav2Bp5pQcCxigg2Ug5LO/Tge4uRuwCavrym49Af35F26JEcEWTZEZSAxJoRFK4sOr4lEG1eU9qhawNwMAiPMZgAkFhqGSqKNzzHxTEBjJS8L07jS3x3xc+W1iCljSw02hn7pAoda4+0U1RcpBJyUl8zpJ5SxSjEqmzRBnwe7f9M2qHH96Aia+dPAhJr+pOM3P/cSwBYU8QNioa+puQ1GZ0oo3AwyA6XEtbRQI6S0VbiOG/yST4oU7mvWIlzfHbF0YanBV7NoJ2x/yjSFx2B+ojtebym1NcMraf88ZorwWtKO/TnflR6bhsoseZz27WyYc+SgMJrbtueHQU7dOhrSl5TG4SDgXaMwQSAxFLLUFG84TkujgkgpOR9cZoCknx3xsuW1iCljSw02hn7pAoda4+0FV6T1ENUKk7qa4bQV6oYVWHymhaaf01ph/6sr3Z5PP4kILFm/PWJrFGUJACsGdW4QVJfUxuBg8F1uJiwjgZylIy2Esd5k0/yQZnanSkjzvHZFUcbnhZ4NYN2xv6jiY5lq/bGPF5T6muG1lP+eM0kC+bQSV9zeaqMGxSlIULeJnwSkFgzfLKUJS0yCSi8ZrTiBsl46AKqCCwVOLjj6wSAxFLLUEG84Tkujql34zv54jS+xHdX/GxpDVLayMiFGxHzhSp0rD3Slvqa4e2Xp/Ca8K+5YYOMG7TIxhlZXZaAxJryQViyEog2rynjBmmDcjDIDhcT1tFAjpLRVuI4b/JJCuKkHUpWvf1jO9QDcbH2tMCrGaIVsV4q0hcdwVKlGs3jNaW+ptJvQfaWP15T36PwmqmS11yyY9YibrjEmou482TVQ5NAlHlNGQ9dQBUagoNJfJ24FEstQ0Xxhue4OKbeje/lO+7zJb674mdLa5AqJ24YtyLWC1XoWHOllG1GR1JfM0y98xReE/41Ja8Z2pe+vDpWEpBYM1aSl/eNuQSANYUduoyHHg6k5RlqCYKIfwWM8LY3ZArmft6FaqWLggTy4ZuKuyi7qUpeWdqkJM4R+fhbelrgVXfRilgvNdFxv6qdMI/XlPqaSr8F2Vt+eU3yeST1NWM+bMgKBCcBiTWDk5u86jmQgMJrbtt+OTczPb1En6wCkyAHCd8hxjNkkA3pPhkPXUV5JN1gEl8nLsVSy4hisfQcV8sX/cj3Ell1qZytbsbXWmuQKieqXnwkVehYc6WUbeVRVwk56V8zpN5SxfgEO3QZD/05GHaWahMk1lyqPS/bvRxYM1p26Cn71qzZIvU1tTE4GHSHiwnbaCBHyWgrcZw3+SQBhLyz6u3FOepWvK09LfCqO+2M/UeRvugI1Edsz+M1pb5maD3l+ZGKnAI4OTh6ruQ15ai1eCUgsebi7TtZ8xAloPCa0bFDl/HQCdOpcCkYfEfXMr7hpUCSGp5UyhbHlb3K3fhe6o3F2qsmvgfiYYvqO691aoO4KTFcqNXCmiSlVpPRkdTXDFPHPIXXlPHQQ/zKl5fHTgISa8ZO9vLOMZaAxmtGXl8zBXPoMh66BzIFg+kUCKaBHCWjrcRx3mQkpNyNdnhuzHjgsR1hQgnhKcbTAq9miFbEeqlATAVkklSpRvN4TamvqfRbkL3ll9eU8dBjPGDI24ciAYk1Q5GevHZRS0DT1xyTcYPCAJM8Q6vAIgLg0V4FmyjQJCElXW+x5OTQLROgI5ucnILtZMRF0ScROeYn8QDOhXFxaukpehMlXJQEkJOSpM9JSUhYr7e0WvT6nJycDCQslBxtyRScBFLWm5rS0ltbWy1JEC/IN61b9YQ2vRCS1NekRzvo5JfXlPHQF/Vws9QrL7HmUn8ClnD7NV5TxkP34MTgc57BVYUhAmeqyFPdSknR5+TlAWzm5OizkvTpCQnJt/Ja16+/1WTJAugUUNOCxMpqQmUNSypeFIylVyatuKenpzgtzZSgx/4koNj1G7OKm5qqcy05hDEp5WWI+4ktuQxKAhsdJxxpY6eaHGkbc/Oom0Q/AMinaD0lQGcGxajkfhR9xj0f/IO1xK70Qu0++poyHvoSHqueg6ZLrPkcdKJsQnAS0PQ1Ja/pwYnB5zyQQMWCVBbjDIWOFFvgNdNLkjOBd1rzcnIsObcIfOYkpFiaLMRtqkmgThVq6vWiJAKZXLyWMRHUPACsCeyTkJCkt2Tok5L0a3Nz08Bqomwwp7eQsJafUCSgL64eO7Cx+MBsWmZWT6tKTFNvqD2mEnJ6vYyHTnIJMqlipEefEq9pIeOhB/c9L6+KCwlIrBkX3SArEQsJRJHX1JMduoyHroy+JSUl6VkWy628prw8cI40nZ6cnJPTlJOp8ZrKGCtGWx5v6VovOlNDsURrenjNhJQMMKLpSVlZmWnpen06peQEUKcJnJWLoCWw1uFwzG5cu3FjsSMXvwPwowC/FrhDGQ2JHwUCHKUclrwm/zTy/PwKIMcQUwBNTaj0Hsh46LEYJOQ9wyUBiTXDJUlZzqKTQFR5TfavKYYRBXGFdSXow3kDnHIHdZzjTXVDrMNZB0/JKiik0mmv2Fa3ElLyTjWVpDc1Jec03cq4BaiZkZOwPsmSd+sWsCajFUIvICeRxGhLQ60oSaMztUwakGbPWpXXTAD905qXmwasWWzJEwkknMUCRUOZQpJAdc9sVnF18ezYzrE8/Caw6NFvGdzBSj+phJzU16RHPeikilHATWWLNsBrfinjBi26YUZWWEhAYk35JCxZCQBrirhBkdfXZF5T+tdUxl9Lbm5mVnXuxpw81qhMyWnVp+e05iR7mQZhbBUwk8ZaHm/pWgFbsfTKHCjGFLqqrwkzlZQUSysm0NPSikssJSUEM0tySvQ5r8sUmgRKqos3HqjOzs2sru5J454CrwmsiTl0gYrEkvpK6mvyDyPPj6+AcuoDr/3S4gwWatwgGQ99yQ5Zi7nhEmsu5t6TdQ9JAgqvuW17dhTs0OHzqEkZk2l8DncS9OG8IU65iTrS8aa6IdbhrIanZBULUum0V2yrWwkpWRuzNs46HEcyCQnCBMiSR9RjTpaptQQI0ycJwPk0XtMEpFmcRqbouBXMjWCKDizLaDMzfW3JWpqwT0/KlClECaRXO2aLs6sdmcUHNmYeILCJHwrcp9RhvnBT6muSYIJM84XJoqWF5ZASN2h5auro6AvLKCUmJob0HSgvlhKIkgQk1oySoOVt4k8CwJrRihskeU1vbFvsqK7OHavOSnPk5uU5TFjnOQgPOpp8saYAMAqUoZHbi85UUGxCSlox0ZoENUFpku5nUlJSbq4jN21jJrjNnh6HA3+OHlNxmvyEIIEDjuzsHkc1ydJRPXbStJ66BRJHmgc0gfmlvqbnh1fAOYjTG27yjy/e5aC4QetWrFiemiixZvwNJ7JGT5eAxJpPl488+hxLQOE1oxM3SMZDJ1giBl6ToxqApRp/1dXZY9XFPQ4siosxOVtMoywlJjyVMVdATsGQEtpkzKllFF6TziVeMwMGQUnpuVR2tgOfanw4IcO75AJCIdkEusi+nJ19HogT150cM7E3U+4MxbsmwyHRewngNV/JoLyH1Bb9JS6Qy6dJwBto0qvAjz8tTIcQN2jDhhWpSJLXfI4HpuezaRJrPp/9Klu1AAlEkdeU8dAFyhRjbHpa8dqNWY6TJ09mZ4/RIvvkSSCYnec3ZrKBM42wPLnO0EUBMXTpk3hNE2bQhWUQTuArS0yZmblNlzZfevPyyctjly+PvYk7nXxTfkKTwNjlk29SfwFqHtgIF1OMgkAlC/+aKkKitdTXVH5UBcxp0nXKQ69id1rzLsyh//Wd8hWS11zAV7s8Jf4kILFm/PWJrFGUJBBVXlPGQxdgkYZfUzFozZOfPvj89pldu27vuv35g9tnPv9815k/n8zOa22lsTUgXlNgTTZUh75mgqUElkeOb7Y8OIOyZQqfBG6jq3bt+vzB52feHgMrTS4D0KcwRkfGGyFJ/5r0qAed5gvTi9eU+ppRGhrkbcIvAYk1wy9TWeIikQCwprBDl/HQgyJg5pE3nsFV0I+KRiV2q3SkOo8K9+vVY4e+uNrWJ1IVMvS365udTU15rQqLI+IGEfDk0ZeKVwvyZEADgdVkdU06wWJJSrK0OjZmZr9yZm9nZ+deSld5KRchSoCF2Qlpdvbt/uhUUzXsuaC2kAILIcG7CbhJnSX1Nee9GgG9Xn55TVVfU9qhL5IBRlbTWwISa3pLQ+aXlAQUXnPb9su5mQhlo0eEmYAGhaef7RkyaBCGL/cPpB26IjHTgQM9J7d/fq1rBqlrpp7/kXtt+4lTp4A14VyTmE0FZEJ6NI/I12JBCUstI7AmLqATWvMQrDuvOmv25BdXu661tQm02by3mYFSBdCW/A9cBiw0gVTbgDSvzRz95sRJBKu0UCeA12Swqc75EtiU+pr8mAa3IOTuJUyxRbs0fU1ph76kxqnnpLESaz4nHSmbEbgEgDWjZYeesg8+j2TcIGXwJayZ/d7t6ZlXlVRP6/que2+v3rmzqdWCIJPswFEdc3n0pWsJ29DPAU+GeU0YoeMUOsFigdGKw5FWfHL31emrD2423mxsfEdJ+7GW/4HLgIXGMvzgy3dufrHmaFvX0Vc+OrFzDB0FoT/Ga0p9TX5Gg/7Z6gU06QUg2CkW0NfcH7f6mmSwZHXrUq1WyoUv6czu5cutRq1U/ppH8YF/3csrYisBiTVjK3959xhKQOE1o2OHLnlNwoJiAE468OgAYU2GmCrefLV+5uqeK6t3nsoDo5mk+tkUo+1TeU241oRRNFQHUXhCEmbRTbmOnrGz966dbfifI0VI7iNFbrf7pZc2vJSKf/FJVTNy/TQJpL5UxEJLTd1Q9FLREbwxR1Z9+lrXax+/99GlpmqinoE2BRjypuKkf0162INM/MuK8SXDTAE36T1g/5rxaocOjKkzmo2pboMGC8MCOI028/LlBrs71a2z6nATHi9Sl0usGcOBM7hbS6wZnNzkVc+BBDReM/L6mjIeukCZYvg1HXg0W+3NazLerJ/Z+/HhfSeANRH7OWE9j7FitOXRly4l7pIK8s4wA0pDM5+QZCKs2VN88uzdvo6G/3nR/X7Ri+63gJN0RUXvF2GN5UsiJzKpyg659pKHrugl/JGYSGLAmyS2F7GF/9lPj3bd/eQwZtHhgR/RnYA1ycOmipC4J6R/TfG4B7X0EqYvr9kTz7ym2+g2GIy6sOBL70Ksbit4TbdVZ7ebqXQx7qjr52AUWjJNkFhzyXS1bOh8CSi85rbtY1GJG/RBnjImEygKd2IEJoCYZ4BTbqLu4E11Q6zDWQ1PySoWpNJpr9hWt2CHbnqURliTec2XX31ZoTZn9n7yyr7VNImeEAivKUCpuBV4zZKkNPCal5nXfOvFopdeeqkInKYOa8q+/yKQE7jNl97HPx3kJWewkGshD1UuvBayg9yKjgBrHpn9G7DmzVc+/OgkFDYJ4pO6JveBupT6mvSoB51UMSrT50K0gteEf034PAKrF2/+NVNTDUaDG9Sj1arThZXYtLqNRjdKVLGmCjfV9fwvdbkdrxKQWDNee0bWK+IS0HhNGQ/dgxODz3kGVxVdCpypIk91K4Ww5qN+BWu+DKyJf0oznTe3XNl3ognGQcRresZczlHxomAstYzijpBn0OkExpo9jmLMofcdd7714ksvpr6oc79ECJPmg1/Ckv5eSn1RrGgfbav75Rqy8Mgq9aVUFhiUD94HzgTWfJGw5tUHWz795gQpbDLW9OU1pb4m/8AK+kXyy2vGcTz0VKvBQIjQajCazUYgzrAlg93pdBmWp1p1BoMVU+fq9Lm6jvgoIW8QJglIrBkmQcpiFp8EFF7zr1HiNWU8dMKI9AHUfKTymgCaKtasb/vqg3NXeBI9IQB9TSJ+UCgXLrCmw3H+JHjNmw1vIVx0YuLoqDWRp+UAnB5L6j4GmQBW/BErOiS2CXER5lK3n3U80PPjrDwBv7W2i02oapK+ZpF9+1+69n6+55Xtm8eI10zRw6ep52eBUHqQ+pr0yyjINF+YzG8KXjNu/Wu67QaDy0bJbgTaDGcy2G1ms93mMnspgmKskbPoi23AlVhzsfWYrG/YJCB5TQX7BU3B+FzvGVoF8BPIkvaqLCStkVbqV4LXvMJ26IQzPVhz18dbrqw+hTl0gTV5lAWQeRavyaVy4Yw1EfNyFebQ+zqcU6BXgDWxWoa1TCFI4KWXCGwWvfji/9w4OrP3zCfbrnx0qpoM0fXz4wZhn9TXDOGV8sdrJuTGr76m2+62jw/fuX79zsXy9u7hi+H7dJd3X+y+eOPOje5JF6mD4o1mwyDJa4ZtHIxSQRJrRknQ8jbxJ4Eo85rQ12TWR0FcDJDCthDMng/20+6jjnsKJFM3lUvCWgVRtoouqWhxF7Uu4vhKYE2HNodOvCZPote3nfliy+HVp/JyFKyp8GUCcoqSREFYahmaxlVvQnboJUnFPedhG3Tv2vGGt5ZZlzHWTCTMKVMoEnhJ8Jovzg7/Zabz9s0thz86mVcC8/8n8JrSv2YoL9VTeM24jYeeak1taBwsKyurUP6xCleqaK4oq6govX+83WmGSijUQWkowRxD/I0oskZPkYDEmk8Rjjz0fEsAWFPEDYq8vqaMh64CQhqFCWv2f8i2QQw0FX3N+r4za7ace4zXVGyc6UICmIwrvTICdCrgk7BmZnGuo/hN4jUbpqyYP7cSr/mCxJqhAM3ERPCa779/BPqa9u1HZzq/v7kHWBNz6E/gNaW+Jj+j4oEPYumP14Qv97iNhw7boPLBzqHOCmDN5uaKCuBD/scqxD8UwGW1DY1snbSbjQbV9Ei6PVpko7PEmousw2R1wycBhdfctj07CnboMh66AIs0+HphTZpAp0S2QYQ1Pzi8emcr/GQuXF9ToE8FfBLWTCsuziasuQNY8wUFayYCcsoUkgReev/99zGNLnjN784S1mwt4YjoipKDwkLTltTXpIc9yPR0XjNe7dDNNyqGTpcN1E7UjowMDgwODtB/6H8DgxODA7W1tSOdXZ3HL7hc5PiISU1Ja4ZvIIxOSRJrRkfO8i5xKAFgTRk3KAjixQ9t4xlaBfBTKEjsVllIlYJkrKnpa3qwZtVtwpqnyGsjsKb4EHR5ir4mVV8kXjOv2bOK59AVXjORec3RRKhsyk/wEoB1+otHwGy+T7ZBbbdv7nn7o1OOdPCa0r9m+F4hLulpvCbHDYrDeOjgNbvLOiv2d5dvKu/uLm/Hp5z+Q/8r39TejXJqaus6O9qdTpudsSacukuwGYdD6tOqJLHm06Qjjz3XElB4TRk3SEFrIa48Q66KLqlAAQY9gJC2CWtmiDn0+bwm9DWbLBmENYWWpgdyipJEQVhqGXEL2kTRgtfscZwHryn0NYVtEPQ1ZQpNAkxrvn/kyOyNv3R13j675fDmk7n0M4DiBqk/C0SfSf+aIb1JT+E149YOHTY77WXNpcNz8E3kdvMkgm7UGvqf1eqeMhh0OmNDY11n5Y0LDU5gTdxM1dp8rsen56xxEms+Zx0qm7NwCUhek/GbByOGlvMMsAL4qThT4EJRtjjHH6/Zdhv6micUXhNqmircDJDXxBz6KtbXhB16osCaktIMWQIvvQ+FTfzZYYcOrLnnENey1wAAIABJREFU081judRDqodTpbeorzJoDp1wKIAo/Sigvg/roxbagxrnV0OAnkdfRe8kTNW/5vLUxLjz5W61dpc13y/XGeBdE2AwfElnIOPzKVdBXWfL1u5Jpwu8JgVeV6JVLvzbXp4ZYwlIrBnjDpC3j50EIstrJpU0OfRZSYiqkmTKa/rwi90f7KzO3XigybLeA8rCl+PhfP6ArhSvjq28qW6Idfgq4H1vyqekWJrSNm7saUprPdVqakXQchPCZ69cuTIjIyGjdeWjlftE3CCeQRcKm/V9t9kOHedhFp2HXAYwIqsiFqoyQxclA8fv/OEKgNe0JPUU9/TADn3HWfjXpMk23VRqYngHwFCHUiuslYxGLAxTVBQqOWWYoiry3KCf0q1TiAFo1dF1vmeIi4i1xFSmy0yFWDHm+54U8pYVCptFxGuyHfrZbec2n3RAX1N/KwX+Nb16i1CR1NekhzPIpEpTkamQLW1YDilxg9CXo6MvLKMEg6/YfYF67oyXDFiztH0ULt3Fk0bxfoiCDCYBSPLLYKSymMd02wrqqmoLhssnbQYc5NhEnrvL3GKQgMSai6GXZB0jIgFgTWGHHpF46GmOseqkrAQAp/U92WOffnJzz6XsnlnTCUuWL9wLzxbGNSrIJ6klKzvFps8ZfI16WqhrT8lUj4SUvFOPNpqrd/ZvPocQM9UOBptJhDUfZfSTHfqZ6RmyCNLUNV+d6YO+JvxrWiwYWT3kDoEX7KDiRcFYahmwaulI2gmIjk4xKldR3CD418RYRSFHaMCLyCMUZKFWo05nNht0bjONpojrl4pw0mBqMMT6LTFVh5gsulSd2Y4zvQGG0j4Fazrt2AYitZvDbKibKIyDSF8Tduhnoa8JrJmQnkxYk2ERL7izpH/NUF4sSNMbbtKW2BXH/jWXL9fRHHp7KgcPYqBosAvv634faL8HrKAyESbIbTQb6MVFYl6zaqDx2MV8JxCsnEH3K7s4PiCxZhx3jqxaZCWg8Jrbtl/OzUxPL9EnC7wWKuYS1+tzHY60zNa8vIwEfdbs7PabDwqyZ9My83bmZWR4UFnYcnRTBmPetVdKV3fxproh1soZYVl5ShZYMOlAa39r/8nVX9w7+snqnf2PNj56ZMmwZLRmZGQAcfYfhi/3ekREF1iTDNHBa5LPo6a8DDIO4vGVUYzI8vAtWklLbi4t9elp6WkYjrnzEpL0liRTbnHP2Nm7iBvErCFhsTgLMwJSk2YBMZhaKZC0EWMquJqnQ2KcTAM5sZY6o9XrzQBONVPMaJ0bpJLb4AbziS232+0ft3pdveBs4rL3p4jatN8grEk+j8bAawqsqaAh7i3Kg9d8BZ2ITqFu4q4S/RWWB+05L8QbaEKYQqj0DlgOxa2+JrAm85qENZcb7PgFhR9QeFDdBt2CHzDtRKsZz68RdkDitaBnnnjNoZHGrcObGGviPdDOlplFIgGJNRdJR8lqhl8CwJoRtEPPLU7LTGpqsmSmNfXMFn9788GXs7OO6lYLQU0PLAtXjof0eeO5WrYyNotN34FaPSUca0/JqAcKXPmout/R07/v9rW+vbc/OXwo+9EjU0ZrK8Am9DX7d145CqypQE3h84h4TYobJObQgVQEyFRoHiqeGkhV9WQe5zVzgDVzEQ/9LuKhE3ojXjPePD8DLSJoNM0yGggYGgxcy6dDYpztBjoFJIX1hfdQi5HYgGKAM3HE4DYYCXu6cQsa98OXEpeNQl/TrfCawr/mE3nNaOtrrmztD8fjGzdlEEbXHn3xCohdKq8Zh3boPrwmnlSj3YDfU/Rs8w8ovIYBJIqtrjO6YHJupV9QiBOUOgp9zaHSjt4b5YWYCpBQM3yvdfRKklgzerKWd4ozCSi8ZmTs0PWZmRtNeafysjb2nBjr6XnvbMs751ddbjpwZON6spgId2IEJoCYZ9BUbqLu4E11Q6zDWQ1PyQoWXJlX/Wij692j9fUz1/ae2fNNdo+pFVgTRugIiN7vEzfo1ZB5TYFvwWtCPZax5r2+sx5eEyNdfD18AI0GjMepZhv0KnmS/1m85nIrWFCbjcJNgzbyag2P4jrgSwzBgJnwQKiz242pbgKcXqeFmgXWHB19SUe8JnweYQ59M/nXfCKvGTZ9zf6Vz3hAW3/4+49/QPrp778948xnHe4HYI2P5A005/Gair4mga/40tckXrNUmUNH7Yw2p1mH2Oh4DINxfoAXgjl8K94SK14SJHtB3enSloI77ZN2A7/MvAj1mZbXR1ECEmtGUdjyVvElAY3XjIC+JibOs7IsTU05BDirV53f3vHgy8vns8ccG5MsNLMY7g+GSSrSJ6n3UHaKTZ8zwloNT8lUj4QUApYbH/W8exRT5TNd1/Z+98nb717uNx3oP9D/GNZkX+6+vKZG7ijjLRUvCsZSyzzGa1oUrLmG9DVJGzIeec3ly0Fq2mmO0O6koVPHSmjIuJ8y5Qg6x+qyg/QhkwnvN0kQmxidySbI7qLx2UhYE6O092kh5hOX/R8c42MO/T11Dj0wfc3AnjVT/w//IBT54z9+6Pd7pek3BpoENgE3/60+7/7Xyb/+7z9++t/579+tf/39Jy7h7//yeyv/ZYb9iD9ek+zQvyyHL/c4tENnXrNT0dc0mA30O8puJr4duiIBf3RWq51+MpnN+GFloPjnqeA1CWsea590GWibPyE+0fLyqEpAYs2oilveLJ4koOlrjkUgbpA+KXOjoykjJS2vyVHcc3Lbrl3HN2Wfd5zPpRni8Cdtro0y6ke5jc+muiHW4ayIp2RiZpBgff7oQP+7R7vqKXX1Xf3uJmbS+3uQDhw4/97305hC1/xrAm2GRV+TzP7FHPq1s863AN+YNgTXEk9PHs0CGu0Yj3V2m9lsN+jsxuWYbVye+hT1NmoJRl+YCGGm3Ls1BDUxgw4CCX4IzRikSVuTZtXnQdIQBcC8pnXUaic7dNgGIW5Qrh9eM3R9zdb/EPgT6cff6JfFk5LXSTj1x1+fNWGg/4FLnMeW/voP5UZY/W//s8p4Uj3Cu+/ZvCaehDjkNVXbINLXhPEb9D3szgZnEKmhkC6it8KMB1rjNXeUtRTUdANr0puAF9r7HQjx2ZaXR0ECEmtGQcjyFvEpAY3XjEg89NwDG0vy0mCNXX1k9vKnN0vvT7y9adY8Wz27UcOCHnQWeg7YjgrxSWqpyk6x6X2GekJ41mrJVBr+TI9MprQD2YLXZLg53bnrjUMnzx840H/+8qW3oa+pQc0n8JpcBjVI/DPe0OhMLfMYr6nOoe+GvmaDymvy6BRHD6GOpsFJYdNuttsmN9ncNOf9DKypwyWw7YW9BRwbedOfqZpzGTKogIabyw6C1EXm6uEcjgWvOarxmn7t0EPW10xe7w3/gAB/eDLd+BtjxL//87fffmd+8x9PPk3b+7MCKvvFHIAgJPU/e3GjBFjDzlNq919gyeoDz48+v0viHYhn/5o++ppQsaQH3Gobv3Nn08U7AadjvTUXNxW6jNA4JrMgsPVW4jV3EK9JWFOwmjpv+7g4erdlVfxIQGJNP4KRu59/CWj6mhHhNfN6NhbnJSVZ8hwH3jv7l87T16rKdm1704HY62nkbDLcKcmUREXSyvNRbqLu4E11g9bhTWrJVCqVnYap8kc9h47C2pyh5qszdX17v+7445uXzx84f/m9wbonYc1g7dCBPjGWkx16gqavyT6P4pHXhN0E0TVmu9Ft23r8eDmpVmLam0x3/b527PMI54HUtPrymobC640tExMTLZUdjQXDkyA2iTU1wuG1/9L83sbvgcd4TfavGRl9TQaFP/3+z99+EPDw5yeyjT8Ba/70a44lQ5/Sz+f9msy/SJ5MM1r+w9AUi/6VXqf9ylDzp99/+OHvfPynjCdfHr296o9GBWYCeio/u+LbDl3zeQSlFTzeZuf14wOlpffvlwaTyu4PTBQMu/CKwM0X+TiCvuZQaSXNocPIncBmqsSafl/V+DwgsWZ89ousVRQkEFles9qx0ZKnT1i/Pm/zV3vJ5Hqmq+ov2zb19KSlkUfI5z+ZADU3zoLXJM9GmCHn1Uxd5/d/fe9S//nzw7V19aojd+HLPSz6miqvCZ9HHl4z3mbcoKBph3G8y5VqyB+sKKtxYUCFbY+vffm8NyAVFj9QxYRt7zxAmqorbywbqqs7WNVZUXZ/YuukGQQoGRABvc4rI5RNhde0zg5/rfg8Ckxfc4GsHn4xmBgV/m65lWHJucXk5U/zVSxRmP5Xwob/Ygy40vQzbdBku5/b3PrXT3QGL8BraqclM0j9LTk5w6IA1v9ox/wUFenj/njNhLi2Q5/SsCYmEaAeUnhsomKoqmpoCItAU9vQaVxXVrnJjFdEw5qnGWsWcpBK3ENizVDe5hhcK7FmDIQubxkfEogsr1mSa2rNs6zfuHH17s4u8iT5cn3XjttvF88WryWPkM//x+QwHeg5eenbozPk20hN9V0HqwY+qTl0+dtddTPAmArepMP1HKMyZP+aCq95t++sh9eMM+0u5h11IG1SJwuqpnc0knMmsJHup4HDVIPNbk2159ugC+fz/sDq90Jl50zXwZHKjoqhofs1ztTlZhemH+328GJN2KELfc1n2aGHqK/ZT6jw7ya2QU9OZrD5JCvzf+KsHy0EGykRPfnPDGWD9/gshKbmDwxJ+x95TvsX3eu35JTk5JSE5BQCnj8SFI1legqvuVjs0HX2hv2lnRUjHfsrKzs6Av4DP99RW9HZXHkRGiMa1hyiOfTySWBN5jWtcg7d52sg7jck1oz7LpIVjJQEgDVF3KCI6GtmpuW15liyNjZtuXuN/UiC2OvqfPBm9oHitCWRTD2PDvScv4Q5dA1rslomeUD6rmPrLwPMawqsyT6PPHGDMNxS4CAxixicvibs0OOY14SluBtuCM2umoG6mbpKGzwJPhNrwoDIsGlry0VMuPu8EVDfbOgA1qxqHB4erOqqmmi3wy4D8S9jxGuGqq+ZzLjwV4KaxCxaCAD+w8NEqmyjhU77kUAh7dET1mREqh73Wd+iQv7ef+vfWP2BwaQ4nEP7/xdQkzZTLAxFf/C5kkuP6h6/vKbj0B/fWQx26HDh5bwz0FnWsrU8v728vHxTgH/l3Zsmu2saByrKjjvN5A9MmUMvmyi4U15odwt9zbAqI/u8UHIjIhKQWDMiYpWFLgYJKLzmtu3QoQx73KAEhD43ZbZaMj/66loXSLuX4fin/uW6e2+f7HEsjQRj8wOPDpy/NECcJYNJdtlO8+b1080DtWVdlFUSnVLfd2bNlsOrT7VmBBE3SEyfhlVfkyyKHkt4sHkfL7UNetyxWzkkVrTtndSicJSpSbfdYM5vqeqqn2lxThmgu0mqmP4Sle/W2Y5XnK50iqhBXme6xieqZg6WDs8ZCypmpst6C2GRDjsiUJteiavC21xT75otKK/pa3LcoKfaoYfmXzPhfwkXEtEo2EXGlK2Pe9pkwpPduOM85id/1a4RV3qWCf/4wz/+lZORIbCmh9dkCvXnHAEoE1IyGJJmeK6LRc7zG4t+ZSlb9LMLPo/2fwafR9SJ8WyHjrBW45XNVQX5y4xzVu9oqgt6zpYvTzRMTRUWjl6vHSq94aT46lBjhr4m7ND3C31NEgAe4gUWJ0+LDwlIrBkf/SBrEQMJAGtGMG6QKbfVlJRnSVj9J1LWrMdkMT4zfbt2PTj7xZovlkA6+9XNTz755OaDTsKR8G2kujdCbgYzvlWn65+krwmsKeIGqaOsOt7SsE/ogxkoLePXDn2Nt74mD04BP2Gw1cEUHiLtmc1mmxnmNi4EaEYpqQYDWd3QgAf7WzJe4KJ1dBB2O5jhxhw5LH3mzYgb4E+TTIJwFHHQ4WLTYGy4M3Iav0AmnGA4oYZpdLlg0oNrEXaFqmzAhpvscNnIx2owN1Q2101MinIJmKJ2qKPVdWFwx8zp2nHdFLBmXWevDTew2cwIfklekFAIlmLGEeM2DdPB6LoJfc2pIvONo6yv6dcOHaHrD69Zc477TfSZ0mULYwdTbv0ErPmD6G66hPEg9DLnXa6QkOKJYNugfyDI7PyzxDZm4n+z3MJRMYeOjNjfSvPwXtZAbD8ErnTeraK77Y/XXAlec3/88pqaL3c8bcY7Fc33h+384yng1w7vl5scyRYWVFV0jNMcOuzQzWQbxP411Z9QYDdlWkwSkFhzMfWWrGtYJaDwmhGKG+RwwJFmq0W/70wXqSsSrgLYPPiXo9+doXT7uf+//R1aefv20SoFa6oUJuRAzt0PTntjTTpnhnhN2KG35gTBa8JSGQghvLwmxXw0GJ0Xhmu2Xs835t/oHc5HuB8r7HPYEQuFREkFOwksSP6FDDD/hosWgpGkK6mzO1127+ScNFvJDybwHrtjRxi+8hYY9cy8PFhuA461bbq+tabd5hyvud7egDlwipdOE+06DN50P4PRXFjZ2VWbD9sf3Mhsd+NeuLVb5+wuna5va5zE8bauuopjzsn2OwXXbS67rfz68LgLbjzBmuK+dBmN3U9z4+n3DVN4TZ39vRHhX9O/HXqI+po8He6hKPWMPW8RkPRNtP+nW+j2lFbiI//wcwbln5hg+5NBD8h8XpNsz/+u0Jr0/Ah69IlFRG2nX17Tciiu9TU1/5p4sHuHKlomRzH5HQwgTCVvC9BmHu7sHGzHLypKbIfOPo8U2yAJNf2+qXF6QGLNOO0YWa3ISyCyvGaJxaRPycnIu3JmmsAmQ82X6/s+33NuyxJJr7zy5z1f7n+wV2m94DXrSWezvutaWwVZTGn4U2DNcMRDV3y5+/jXVDjIAB8pHuR0rhuV96uGBmqcBSNVIwUNLidDSvjGNABXmhnBcbAecnyJf8BIgTUNhe3lmz7TPqS35kKJBPYQ/xyspNnprGkuG6mqmynrzbfrnMcGm4eqWiavtww1125iF9ZW8JHs8wXkJBwk6ZbZoJdZO2mnYOpmoFPATRRotcLAqGum7IYtv6CiDvqa5ZuOD3ROl47bbBdq28oabeTr0OAyg8+EHDD8YxGEXYXmX5N9uQceD52g3II+esKNXqqXbLHz++NkYwpPov8nJWXlrz/RJf8kx0j+b0FYMWEer5lMFzKFykhyZcYpKijG0YP88ZpJFsyhE68Z7/HQrQbn/qGKjgb8puF5gABfOyiLIBiBbvnccEXzwEWQ+PTWgNdk/5rtih16cG90oDWR54dRAhJrhlGYsqjFJYHI8pr6klaLJSUjZ99XfYQ1weWB0Kvbu2f7pc0fLYW0+d0Tl9795t3tf77LpkGeKfRX6+Fm82jlg1K2Q1fQJmFN0tf84HCQduhgtIAz/PGaGK4CfzY5cqTRdbG3o3O6bWB/bVnzYG8hnK8Tr0hT10Q1YjYdrCMAJkAnOWenKOfIUVzymokRdi2oeBgsG5m4XgiSElgTlCXmso22Oy1Vg41lB+s7OybN5sLh42VD02WNlSOdZRMX4AAJABOT6uAjEdAStwFtarXB3rx20kbhVOBFE0sCjqmpmzqGZmaqBlsGYYZeMXHDOV5ZcbqutNw52ds83dyIAEUgUjH9j4QhGk48cfvApeHhNUXcoMjFQye89xt5OVISk4/qhtdaT2zmj/8WLpL+8FtehucSr7M4K56OlPm8ZrJiUaQi1JUr6d4/3Hqan875RYd9+ym85h/3f7ZhwwrqxTjU1/TEQ3cXNp4ua3SOgpQP/DmjX2qIjWVNNZSXNY8Mw/cC4UrJawYjybi6RmLNuOoOWZloSgBYU9ihRyAeeopeb2lttaTcymj6+C6CMbJl0Mszfd8fGsvNLSlZW5L+nH/0FhNiUWb3nP/2O9YhEJjyVUhipq7t+/3vjf9tYpp8HilJ4zUjoq9Jo1XgTxai+QDOuSbHL4wcrBsqKx2Y2H/dadDZnECZhNeA2wwgHKELSVmgTFtDg5Hn1N3gPF3HOw/WeaWug53H211gNPlKMKBGW0dZZ0f7wOmXd9Q6DfbJC+WVnTCAKB0ZbCmATibipduNNheQId3LbXfZUZWJtq7a8Umny+Z0mgnqUk1SE9snTs90na4aOt11sLmy2z6af7y5bnqk3NldexqcaSoCr4s6YtSGQikm3YMQxvIF85oh6msmMNkIHlPjKH8H/nuCIXqC0Nj86Scc/sNPmED3ukQFj+paQaHzeM2VwjTICy3yvf/DUFO9NOprf7ymvkfhNeMzHnp3mRoPPXXqQsfp0gIbns95KssLfQfdeKWW68pLK+7fAdakt2uOeE3hy138vsLOhZYmz4sLCUisGRfdICsRCwkovOa27Zdzw2+Hrnc4ci05mNYDsdmmoK2Zg3/ZtmosuySd7Sae90WPgwKfn//ma+I1hT93rGcOdn73xWE4c3/vey+fR8IZkqKvmReMHXpE9DWBNMEh2l2VVV11nS13xgttdliMG8n6wQjmBcANdCEsd+CwyGwvvLi/43g+Gc0aDQQOC+6XVaiJcqW1QKo0blppRtxmc14Yaa6t2TR4+uWDI4WjZBdUM1LXNVR6fNP4OE3UE7lDE+5moiQnt9YcG77RW3a6/n7N9Zqa6xeHGww2GylhAuQeK6ubGWouLauqq2vraJ+yOo9VTFdNjDfUNNfVDdwYxUy/l4U7zf4HM0x78ZrsXzNi8dDZDv2n5ASN1/wPYc3H1TUBEekIp//0pwh371640Tvrh9f8lS7+90oN1Sawa/f/ZHiURb0LiVL+Kbwm9DWJ10SKa15TN155unSrDQoliPETTCKsmaobH6kou+7La9a0TypcvtTXDEawsbxGYs1YSl/eO6YSANaMoB16qwP6mhmIoLfzyp/arnWB2Kzru/fx5llH3vMOMpX2mXrgXvNA9ntHgbSJ2KV/6Gl+ffbTQycPPDr/3mCXR12TsaZv3KAQ/Wv66GvS6BzMo8aY0mCe2988U1fR65ybArADzHTDZAjT50j2ScxoYw9muxvuVJaVDXSDdSEsiRnw7gKvtB/5rfl2A1TRKPYPmZxvKmg7XdpSWTH98nRpuR08p729pW7mYO3wwzkX2ZDjNsSB0g2Nzq0I91d6H5ZEL1ch7B841spuzI3TKW63q3Goq6ussqBxZKju4EiNYWoSILOto2G843RXXeUm3A74khzAkxgIwwbFNs3nNf3aofvxr+kBdM/I3WL/mpqXy5X+HGwCP4oAk3/4x79JVRMp4d8//Adqm49TkdjFxzV9TXEKb/7Kh3gh7kWcqodVfbywCO/xy2uSz6M4tkNXbYMAhC9Unr6/1anDox7cewesuXz51CZgzTtsCMf6mqodOvOaxNAH80bLa2ImAYk1YyZ6eeNYS0DhNSNmh56emZWSdyon49aVNa/1dXUd3Pvdl5tXbcx8PWdpgE3TgQM92dkn3/saOFsorNZ39R3d8+7l2UePDvSffPs77xiVQl8TtkFxFQ8dyIy8BzkLKrpO15bPkSqmAablMLbBfrMdk+Y1NZsaXNDgXO7aVFlRd7r0hhEehWCHY3cZEWTHk14Ytboa7EZMhBvggghKnu7UO1BYrTt4Glqr02U1DYmp5sLxxrqu0wVOmvE2uuC0CKH+MF5Ds9PZPdjVNQOXWbx4GU4NujoLpgAbwbka3YUTXS8frCxftuw68ZuVNvuFgqqZqo6HdwaouEn4UMJcv80OrEmFsT+mIF49L17zWXboofnXTO4nLco//ICQQEj9P/AWeE7e9FkwKMWp/7ylUpOkwfmz5fFTsYcQ4nx9TQE91YvpMirg7+Jcn1tFceMpvCb0Nck2CD8a4pDXVLEmXoALHTuANfG2pIL8DyLBQ+fy5YZyeHO/DoLfW19T4zVRdhAFy0tiJwGJNWMne3nnGEtA4zUjoq+ZVlxtMSVk5OXlbGza98GZzr13b769eaw6z/T4SBjFgSyKt0pC2KDs/svfMK8JuNk13Xn0k7e/uZT96NGjnp7+92572QZpcYO2XImEf83g9DVhG7R8udFmNoDX7KorOwbnQaAsQRG6XVClhEMkt3O4ZaLgAhAk0JztzgRiON8wAEyC84QtznhNwX7vVFADXhOxgmgITnXD31FV2cBEy8RI1cvkpkiXOjVXXjnddRABK4EICeKyxiZ4TQBF8Jr3YWlUAQ9JpyvI4migoxzAEVVwG1zDIzNdQwX5U1OENetqna7uidN1IzWFcPBe13zHZrfZUF22aGcNz6eHwvT7Ts7nNTGH7ihJSE++lQIXVcTF8YJ+Rj3ZvyYDuIVQgimC2PzDj//7++9//wnYj9I/Hr+yn3y+iySioqek8BT4z3jG559NOJN2a7wmn5HBLo76k/gYHRYF/J235xcRtW1/vGZ8x0PXecVD1+V37CjtnYRhUJBYky8zlI9UVNzALDxB1vn6mpLX9PuixusBiTXjtWdkvSIuAU1fcywCcYNSstKa8iz6hPWW1sxMx9i2298fP5S9alVT0xNYF3Wse77WCVkHevoPnH/3u64ZqGlOT7fd++rD6kc9Y/2IJtTf3//N59MzYDOFbRBjzfq+EHjNp+trBsWC6MgNuhmGNQ1wa1lX1WuDS/fx7ovl45uGr4/biLEprCktm2ifgq93TI1PFnRWVQwbyEwdgNNtrBnw6GuS3mbpxA0b7HnsNASnGicbS4cq28fHu7eWIrzkHSem5801Awe76lrG54x254Xu4e7x7uH2QppDt7t0hVvv3Bg+VlA61FXWeGP4znB3uY2m80H/6MC61tc1Hyt8aLxTdnCmbqDQdqx0uq7jGLQ4XwbReqH7xp0bF8u7y512tiZavvypYdf9vnXzec2n2KGH6F8z5dbvKojU1n9XZsk9r4jwqfk7Oz76A/AlYcGUn3DBk6IH4RAfn+dfU8yhe1Ck4DV/F+d6bhXdnIraVeyuAfk4969ZqtgGAWBOHt9xH1gTMDEYXhMvK65LNRKveUOxBFLs0KW+pt/3M+4PSKwZ910kKxgpCWi8ZgTioSekbDwwlpdnWX8k2dLVdOTBAAAgAElEQVRUnZ396c2ze96cXZUHrBndkSt2d1sPXhMqm++9xlCz7fYHJ06OjfVg/ry1v/8UsOZtNs9XdDZVO/QPNF5TY8ooUh/GW2oILRgzaBm/cYN89DWD4zVT4dMS5uBT+QWlsPOe7rXlT5Z3lHbeHxwoHSkoN1iXJzbUVDTXDsOREZncwltmVfMNY4MdWNNl0Jk7qk5P101PK/91dacrCiZhN24mPzCp9m6QNjX2hy7n8CC4yt5JA6L/1FbVdYGQdDaMF0yUlo20DJQO1lDVjXYdLNLn7PZJxA2qheN3OwUYAndqMwBrTraAGS0td1lHoaZZf7B20tnbVnewcT9io788NNDYOAFFz5H7zYPl4E5huR481vy/UagFFNkj7V8zIQFhfgg0ivTTD2QBBK7RAwkpd4tZzd+SBQn647/58WAfRoRKfc9lpMkn+PKaOQJr0hGRElg3FC47keYXEbVtv7xmfMdD71bn0DHB33CceU125hr4tze5aoBnTsOmgeay6wqvqfnXnFR8ueO1CLxkeUUMJSCxZgyFL28dWwlo+pqR4DVhh+5IS2uybFxvyXPkZm9/58Gek6uKHXl5GRk5YmB73peYQ3dkz/bANqjr2t7X1py79Kinv6f10QFTayvQJrBmHdkMKbwmEZvMa8ZRPPTly812q3M8v2agtOx0Xd3E1oIbF6GUWVVR1llVedEAv0PjW5s74eXdiTlqg9u5tXOo4rrRRYZBSORfcwQT38oC094twzZ4VSdkqnOXH+9s7hifmjPYxyfquqYrr0/mXywYaW7e0VVRWXDn4taRg6fb7jdXVTQSxQPLcfeU1WqYcnY0z0w4XQ8xiJORr9GFACv28pGDL+8YaHc2lFcOIWpQo8vZeLpuqGWitO1g/Y7S2omBqtNVFRWny+DdEyWFgDWhfWod9cQN+uhkbolezKHzrwHxkwBLfWj6mkB5ySkZ//rPP5D+9z8/37pFWPM/83lN5jN/yMlI5sN/+PFXXMbqmKTZST9FfBKjTeWEP/Rr8dDZDv1nL1jJxOh/8MPmsRJ8iovohl9ec7HEQ0+1wr/m/a0Nb1Gk1iC+4hHWKtVshh06eM07/vQ1pWlQEJKN6SUSa8ZU/PLmsZRAJHnNFH1TdebG2VNNG5NSWldlZm+/ufudN4vTczIy4HJ6aSS9yYE59APf3L7W9trH34z191T3Vx8wWVr7MzJWrnz0aN8Z5jW9HGzOVH3/hYfX9IIuj/OaOMgIQQ8/piYkcEFCqOk5OemmXEfu2Nm71zoaYMND83jCcjXgR40IRUP5/oKWiomOsqGu5oHBrd0I3HOw7f5Q3cSwufz6sZrjbUOY0z52Md9uTUT85iG2ZSA7dNiZOycvjI+P0z8vkHHBATzZ5rrtzoKygxXD8Ko5Z7/QAjKztLK3oGNwZBBYsqr0fuPF4ZH6rh2lbac7O+AOk+YTyQeS3e7saHu51kaT4fAbD5xp1unsZHRePzRwbPhYR1ldXVVl+9xkC6LNg8qsGJo52DxSOzANHc+y6c6afPg+CgVr/tfUqFVX5Br+WouHnqtPh8AVcKTO+frR1wyMF7yVc+tWhsVy69YtoUP5mxcgZCRIRjz/uEWdnvE7sgQ2U1LIWOh3siKafzMFO87T1xT+NVVlT1yfwMToP5F7rIT5JS5sW3mI4ZBJfFLUXJL/G/jlNVv9xUNft25dwA93MBfgbVISse1a4g1vfc3RwuPweQQa3QijucATxai04xlXsSZuJPU1AxdjvF0hsWa89YisT9QkEFle02JJz0pqtSRhuNFnrtq+ZvcHp1al6wE2b4VrIFvYcBezs/QWB1Bg/7uvfPXxuROnHAd6sLXStDIjQ29auTKtGrZBsE5XeE1EFdJ4zaaMZ8ZDX2+xALEnJCQA6JQ4qvPyQLClEIzPSBZY8/zJs/d2HG+AqTYNVPBdHsyMm9VgcGGCeqh5YGs7AvYMlR1vvzAxVN88iLnuyovlExVVVUPgJKs620qP51tTnb07dpTegJk5u9i0m82Y9NbSHFAlWEglTe4vm+6q6ui2GZztjRVd9TOnq9p2VJVV1gwPwEXmQE3+cOnL0xUdFdOlBWTzDqwJgyI4WkKMyvoJOESCYRKZGBnsbvNkwf3TMy/XDZWWlrVVVd3vwAx7fktX1+nm2saRKmDNyo6Bg3VlI/dPA9oivhFhTbh/D+IdI31NqAAUmZV46J/CNijXlK76iiVNB1J14NWVNWvOZVCeMR6wHz3yC0/0yMLQhy5ISBa+3eEE0ycxI/mboDD1FFgIAYQSmJX8160n3AzlcaHz9DVXko07hwkSb0lKK5X0c2tAtfWp17wNvRCPBQmQ3IIZDT3lLUlJT/QXylerYlSxO69pofGaeJoVO/REpOXLo4Y18bMHVuYUC4CCWWEDDmBpF7h3XbcnbpBuEliz1zm1HEZuQTxpFJ9AhzCV7F9zHq/ZrfrXxEsRRNHykthJQGLN2Mle3jnGEgDWFHGDIqCvCb6Nx14aOJBy9q3ZvYUday6RCXSMmhhb0fLWnSf2nTgFdEliUNPazLXVV0hf0xtqvqr518wAMlDRgRi8BfpgCMCoAHCUzknAOq0YgZgwiucQZ5yTnHMrvXhV9qo3O+5d6wCzInhNYl4Cf9iA7uz5Hc1tpY3jtuu1VRW1w4XjI0NdAx0DbUON5eMtZc2dwJqn25qbRxovGKcaeod2wJYBluEYjDHtbXAvIyiQKJaECbQ0uX+kre1+Y7dtytneMdJchTlu6HoO1kw6G5s7SzvaC3sr6jsnCioODh7DlDvAMpgeqITOOQFMW2wGA4fChFcY+5S5sGAA13dWgMcsK53oHX8IFdACFDbQWN4xgjofa6w4XdUxUTZU2m2jyX3ARdQQiDPQlJgICJC6och146iH10wXWJM6Ruki9FdCBmFNddJbOyTg3EKWXJZ6YgrByh+VUpSdCck8hQ4rIL6dRYDNn2nnTxm8z6cIvph3a/qaoiCvMEHiKu34vOvVygS61ufmJuHXZg7C1ZKnMw1rEkb3X5aoi9oOrNEAJMuhP35JPo9WrFi+wjpq5YeLezFqWJP8ZQIGusGq0x89mbTLiklvnZe+5tQk2aEjvFZQr514WVEo+de8QQZGuAP0NaV/zUBf2fg6X2LN+OoPWZsoSkDhNbdtz46AHToREZ6Pft/uNVuakhl4hmkY8z9UxccRRttJ65MsTTub8jY+8hJGQsnazMzs9773wpovE7HJ+ppXVjdlAC4Aa/IAq7aFB1wPZsjJAJTJgOprTtLGIxuzXsdQDj+mtzKSkzNupa8tPl/85oOyHWIOnQbE4AY9mkM3j9dsPVbueujsLqjpfjh3sWKos3F/RVtF76Q9v3u4t6WqaqTxzo3uCw02c8NWUKDDMDSH9ibdEF4y/T3Mc5PdNde7J51wa+Qcvt59/frw8I2tNeW20YcXanq3loNNbeuaqOmo2DFxMRGEptsNrAk3Sbb8xtLTHc45NznWNMDIBzFUpi4cu37n2PUb3d3d7eWTrhcSMS+f31vQOzz5X/nXC25M2jqmq0baW9qqBrqdYEKNVitCHNmCiFOtYk3ze0o89I/GqnPT09L1r4O+VOCQ2mnMaxI84k5UOpK3F7QQnS4uT+DgQGwa5LlWwZoW4RkzZaVgNv/wE7DmD8BzfEPP2cjxk4PFPF4zhQyM/gFrPfWONAn/Exfrc3nQG3pLbnoSo03hVBe/wBL06aYSaH2oWPwJZQsxKsLkuvHChDl0xprLV8QIa+KpJhIT0Qjg2QtvFcFAgE8DHk8P1gTzOYkYleA16aC/V+Ap+1EseUtSsSaV4hUPXcYNeoro4vmQxJrx3DuybhGVALBmBOMGqRwerRPAawJr8q7HB8InjDbPwS7wuRaLPikrKaOp1ZLFqgQCe+v1JWuzVlV/eJR8Hqnh0ClwUH0VfB5dWb2TjKf88ppiBM7ACUkAmCkJ63OzHcUlIDYzbuGTQrzmqtxVDSc77u0ImdeEC/Qpe8Nkg2tuFNqX+c7Rwt6qqoGagqrTbZUX4bXSOV7Q2VZ7DJgR89pTk71tVWXDYHrIMgikj9V/gL63bM4GXGSzTU3ZnZPOwkmnc3Ky0DZnnLM1YG0fH6k6XXBjYAhG6XbMmINEwqDtttld41snhik8phUwEyboZGfkanA6C/nP5rLPId66cdSenz/ptI+6CseddmdtV1vLeO3pHaU1kxTenXlNchwaaBJYs2jd7PDXXW3f39xDcYNyn8RrJiQzr6k+wirMU/Ac9d+zPuJSOgvdzJ7dWafS6zI985psfE5npST/DpBI6ad+vtjrVL4bn4TSfHlLxYi9X3klYf9OWqDhDBsErGlirEmvPlH9+C5ISEoy5ebCHRrX7ElLaoKoEx1VN1ZaEDcoprwmNIbxmwcBT/H8sW9XYjgVHWRvfU2F12SQGOhjRucTQgXWpDl0ldfU/GsWSjv0YEQaB9dIrBkHnSCrEBsJKLxmZOIGeThNyhGv+UHeUuM1LVBXzQLYBORMYinwWKtXeE3vOXTmNZU59AXwmhkYi7OSEP8zIUtffTLbkQv7/pxkWC/n4C/d5MAc+tl71443vMXES9D6mpgIt1LwH4yvxrkp+1zq+HHQmuVbhw5WtdywPbROOYebm1u6H740ZZhyG9s7qoYqtjoxHHNoSxpp/T3XOvvDF0anoM+Zmmidemh/OPXWw6kXEhMBBR8uWzY6ZbtRVtV8bPj+6emRXoKxIryk22VOnHKW25aRr/dUzNNj1AfqTE1chjQ1Nzc1mrgcWNIKk3WUATueqamHo+YLAzNlBfmDp0+Xbb1g5jn0ICGAymvaSV/z9tk9hw8R1nwSr5mQInhNgknqv4KdCDg9Own8pZxHVug/3bqloC71YgaNP1D5uAMWycRIIkGFc96ZfIU46XFek9U+f2C1TzqFY17+9sQS1BsHtiasCWKTfnZBoSQHC6ySktIJa/ovSbRAbQevaaHNoceK13QjlhVFWDXgBwt8KVCQVoKc9ENoOfQ1Nf+a4DVpDj0MvGbpvLhB8K+pYE1ph+7vyyVe90usGa89I+sVcQlEmtdU4SZRGkuT12y16NdjFh2Yk1CmMo0ueE3Hp4Q1NSt05jXJlzvNod/CsK+iAzEiK+OuujMDJ6xfjyn0rKy83FWzxY6xnU2WrI0pORn4g76mYxXZBnl4zafhPv+PGdTQiEBExEmQLGabMTWxvbKq9MYkyM2RggtTujlb4XBZxQRCoANckmn5dN1Q7dZ2p5hmfNo9iRsCYem24lSde4rn+Gm8JpoIc/DlBaVlg8PdUAitHOYwQ7DngbN4yo4agXw5QS0UQ76OolhSMUx9ks09JskNrFKHnOGhrWZkqHLc2dHZOdgNBTqExqSJT3fQvOaGDbBDfwavmcK8ZgY6i5LaZ4QIF/hRrqPTc/6pIEhRlFrCSgtZ9fzIJCbdJzml/yc68Q//+JVvq56nrlESF6DxmuJACjuE/6lVuSaF9D5/wm8WJPXK0NbkJCHdZCJzIHj6ov9WS0l6ElwllATMa6aY3lXm0GOnr2m2u92IcKAz8Ew2vCHgURRPnmcOHY+0mEOng35/bvl/7fB84iqF1ySsiUT6mjtKWwqOqVgTUDOYop9yV3kowhKQWDPCApbFx68EIs5rMsBihKUH1vwgD47HkcI0jIU2CEb+ajFjiClDcDqENQXy5jX0Nddmf/h9nWcOne3QVV6TvEKp3JJaT2X0VzBDBmYjk7JgapHVc+Kbb09mA21m5zlMGcCaGTkJ8HlUDF5zx9mG98VAFbQdOnCbEaBwudsAyhFh0CevVxYUusorO3rHbcvgush2oaW2cXwO5I7O6LrRMTjY0ts9aYdNEelXIvl79jF4UqhLDMZumhDnKOXAq2RiQZ45C7sLCo7lT95p7Lg+SeQQQUkyxsA4b3aTFTBGYrI+AkbVGcgWiQzLcQrcIJFvQtKfQ9H40yEUZm/lsNN2o/F4jROYmRKuMLr91cz/fpXXZH1N8JoUN+jpvCZhNkJxKpJDdmGpfyV1OyU9sZp/+N9bydgWe9QS+MBPv9JvEjryG0dNx7k//qbcUD2R1ziDC5ivr5nCc/F/xyw6lcNlqt6VfK4PdkMPIyCaMBepxOIA1rRgX3ow+prgNWOsr2k12t2uTflOM5mn4cHDrxx+NmEg5MGarK8JXrOBfxX5f6D8HmEYqeprGvjx1/Q1ZTx0v2KL9wMSa8Z7D8n6RUwCwJrCDj0i8dBVdCXwJdsGMfakQW0ppASaOIdyWgLmDS3qDLpYk76m4DU1YhOT6GyHDv+aOxXbIIEOhKgUpKFCBoAQMKaYkUxpOvzJg22HZs2zjlOnmgik5uiTTMXMa/Z1OAnxEdcnqJJAHyTiEuGZHUiQ1Bx1Nqd5SvdwimasRx9OAcmlJj60XT82POmCcTfSnB2z2InIWM0uXEbJ7x3pGP7BVdpROcaGdJEgjEaty6ZGMStudzrnBOUJAgmEZaoOQdLNcN4JiAq7dAz1KANTmUCt1EoD0DBmOAEjdcJREs7TGUaXjc7ZnHMvTE1R1VAjNwhVMwyLAk0B62sqD7raZ9SFC/ok9P/hp99/+7U1of/fP/xEUJN0MLkwz+UrTazG+Ycff/9Xf/KvP/+Hz2PbIFCbP/c/dqOU/h/++QP+GE2KrDip/x98h3/+aur/jbP/UOe2PTcLIQf/o4CalAAwMXfu2QjCDl1/6K8xtkNHqCrdZG/v9QazGw8bHkU8nvTkkW2Qdzx0wWvS8+b/FXjK80dXCV6z9DF9TWUOXfKaT5FffB6SWDM++0XWKgoSUHjNbdsv52amp5fowcOEMKzMv5a0NJV/0tck2yCBtOaf+Jxuk8UtsCZrqsEcfR6vmSl4TXUOXfGv+b2YQxe2QT7wApCT+ob+sECxeZYk0KWWEx+8du3qrm3fZiNMUwkcISXpLbC86OnBHHrfWY9/zaAGPSuwH6KXY44QU4dEcVpdmEhPtbvA6pgpUhDcqzsbbHQMduGwPtdhBHbxGExMo8G/HbqVwSARmm4DBmszoVWiJ+HRU2dFRHWyLprSTT2cA9eJPURRApACYrrs5N0QsBIb7NuQhnOeyQRuJSsN0k0lrImJdJRB/0bU9aHZDH4UJvLAmPCfxCcF+oKpvKZL1ddk26Cn6WsGyWsmsBIlQUCRfurPUF4R8buDlytNPB2unkPrH39LZiiJLD8lXmcrlKX32X/4XZzEKpqeAz9ZmFHnZ82ngOA29KSaiZSWlpmZmZWFBbnoYuSpYtonFCzurtaB17SIPa+JR8x4o7S5omVrvg0+XqG+QQ6++Pn09a/J+prh4DWVOXSN19T8a8op9EBf4FifL7FmrHtA3j9mEgDWjKgdOkFLAS+hr0k+j5YSr5nARrfUYpo/F3bogupV7NBZX1PjNdmXO+zQwWsyPUlzo+pgi9FYyao7CWu2JuW0ZuSdWNM5M11V+vme7SeLM7Ng4gs/2ZhDXzW25h54TWIFQ+I1KaIkJgqNZhpRU1NtTgNCmTPWBDlohOuX0WXYr8OEuN0FgOemQOVkOE4Q8Ck+j4A1wdxgsOZSqURmRoFdgSGNQK3Ah+5U7ARpSViTErAmUCngL02SQ3WTnGrT7LlIxHwiBxRJ0+uoCuNVNyppNCDeH1wkAREYqHgyXg+GblKxpjni+pp6dT6cIeDvrXrFjzs9BOoHz8S/mYfUYOLv/cnJt/71E28rxj7qyQkpJvbAqZ1Lmb+Loym//uS1+39Vm3TxyHkKCDJHUa0IWgJqpqUVFxPiBNh0wKgKP760xszPEfwUSJiOqBsJmm1QzPQ1ScWjpvn09FBpZU25EzqboDQVdRHPHHpq6pTw5c7PZhDf7vx4omhvO/T5/jXpqQ+iaHlJ7CQgsWbsZC/vHGMJKLxm5OzQGVsKuLkE9TWZ0SRFNb1+vRfsRpb9a374mH/Nmb7vv9hyZR/iBmGo1UZZMRDzgMtQk3LAmk3Ea+ZYTqxpQ1T1rmtXH/wxe3ZjFrAm5tBzc3soRuVZ51s0JBEAw2Rz4A8bXwxwRpcTd+nWuZxuZIECCa8xisN4utxKk9d8I2hf8kWY32aI6O+eOElgTWRQPIoTmNHodGGHATdEqHPwm2xtTiUuh50SlggTLUzJUQc0CeqbIESRwdw7qWiibgbAAQRKhzN5Ph/+NFNxEXhXggRAzjgFdcXse8BJxZrwecR26NDXfIYdepC8ZkrKvzQU+ePvvyYnAGpqDwEhL0q0w/Qbucfk9I//kF/35JRb/b9j+0dxjvdSMVMXZ/Pyn3CrySlDmYHH7Ptvrdgj7iWwnnJK0Cs9I03QmmkHHNXZ2dU9aVmZwJpQdE0PnNfEHHqM9TXxO8h8o/TgTP3MdHPLME9ns+tXPJoerBlefU38OsIDLnnNgN/XuLtAYs246xJZoWhJQOM1pb5m0IOp3ws1XhPuBcnpCxJUCQTNy/41fezQtRiVC+I1qTDYncMS6BawJjxzvto13Xb38z3fjDnS4M8wzZRbPLbmbt/xEOOhA5dRnB0gOZ4lRB4UoYEmzAH1YCxkBsIDwQibHHJ5CZIH+msAoGwVDpPyp6FbApQCXqJ0MvfBAi4LiXik6HyYArezcxkK8EPmPkCgQIp8BFQntnE99oAYJSQKaEvej7gM8EE0lU4sJ1WbqgZuFIWjzjQXjz06a/D6mhuKns1rCv+aGQpa4x8IlFcx3LPXt261/vzbDz/88NuvsAnn6/kx876Qd8CV/7/ovH/9qk9OJi6TtGD6f/vh58dulozA6hRbXUm3Um7h4VFqlJKcgbv9B3drNdE+NXnfLtg84gYBbRaD0sw+efLS5pNjPQeANavhBD9wXhP+NWMcN4i0M4x3muvqX66fqasqmyhodwranR7gx/U1+QEP5ssc8FLR1yT/mvyEz/evKfU1gxFsTK+RWDOm4pc3j6UENH3NsQjFDWJ4JfAV85qEtpaOHTpsg6i58LC5nufRhTRIHAqv6W2HLny5a/qadCE5v9YAipIVUEBvSYG+Zhr40o07v2Cs+SqYlr67D155d6zfkWRCHHbCmmeFhz9AMqJGAn/SwAjC9hzDnsoREoVJE4ekbem222HXDZ+XAIcAcJjPJuVOTJzjIC4hWOf/jqTMyTCSxlEd5XQIaQmwiauACQEH3RS4HJwRluTDiMdbJjEJAKNO2OlxFQ9wytwrcCVOJJALP/JcElUY1SPSU0clYggn/9vUqkATQ27EqJy9AV7ze8W/pslUMi9uUA7owgT2r3mL4n8LkMm9p2K4Z68TUlYi4L3KO1IZAut5XUk7kBAqKodApNekOehN4bXI62wKq54iggwpF3odREH6jIxbuIoJVOVeXLzXWcFl9bmmYkqOk4c+3bZlzyvvXcoudjiqW3ODs0MHr5laVMQPw6jygyI1FTEraU90ktVd01nHWtb1XUNllTXj0NskKp3ioXv8a+Yf31FaQG8ffvIE+pzRy4ME3WUlRqU3r+nxr4lTAi9ZXhFDCUisGUPhy1vHVgIarxmheOheE8dsG8Tx0KGmtSQSxnRBYzK+ZpzpxWtmrsr10dckbhIxKr9bs+XciaYcWJnz1Dvmyp+Y9K3QAm3NgxnH+p3gNWHDXo8EtHl11yubqx+ZHI9MJ4E1b2q8Jg1fQTxrylhJQx8PeFgwV8NbrB+JIVEMjXwOHeQTxHjp/458NtVIKVgZX8VudakWQttE43DR3ju1JvEVSj24SLVcqrBSYy7Fcx//dfN7RDdKRa1zvQ3/mt/d3PPp5lOwx3JAQyI93auXLHkW1b8msl4HAsyuXNj59C6B0ozXlEQmQWmOnrHtZ+92VvXtPfrlN9nZiD2AMOlkOBdYMn0DO/QNbncR/VyAswJ8EunJANZcx08Ik30RzcHFFvOaQJv1MzNdB5tbjhVCkYMoc8Fr8qOoy+8YKi2YhL5JUL9q6OklD/EXvOIGSf+aft/LxXJAYs3F0lOynmGXgKavGTlek9g5njemuEFLzw6dmi/ar4JN3qQ5dNihe8VDR7BKwprfs20Q4AthTaz8JIAYfYJwEM9z6ESKElalmfQHf159qf/RgZ277/Z94jTw0AdeEynsj88SKzB1FHPzAAG2Y4LXhL5mbm5rbm5JTkmJVz9Rt6UchteFjGT0oteBiGRT9PhwekbxmqWa3/OefYbfS59yID0tNzu7+NIfb++9VtfVNX3t7oNvLvdUO5TYnk+58AmHLN8S1ixCAgM+ysQmPdcKrxl5oAkMCJ1lYE1CmvSPmXRYCW3tLrRDW6O7rLOsneoDdZILhDUbpqDbwWR6gG8KG83B6Ai2QaXXFaew9gLcin25C9VoQtQyLSoJSKy5qLpLVjacEpC8phimI7L05TUZb3vxmoiH7qWvCZxI/jXr22CHfm71zjy4fgdMYbz5xAVRmsCj8KeUt/qrNhr2FLQJqqXv67OHL/VUX/rqqpe+piD7wvnsLL2yyHWoVVd0xPlH4jUffPlH+DwqWVtSUgLPU16JNCcyzq356hwFJn1KH3pd8lxnq5s2n8j89ExfVz39Gqqv27vnknmsOiszLfBWV78Lfc11RRtSN0BjwzCaOI/XBM6LdCIN4OuENfmdA7NZ//LMwbLKG4VmqwFYs7Qbr0Wq0a0b7xga2Op0s2uuwOtESsbw/OUqHym7f93OEwdWTV9TjVGJYpfeO7ioWyyx5qLuPln5UCQQBV6TJpA1XjOPXE4uIX1NxpZP5jUzFf+a7PNILKByWXUbduirT+Vl6OGQcz0bFT1xASFiP6JftsIOfS9frlKbM13Tffc+/+uhS1+QHbrGawJshvKkyGuXL2esCQum2RsDXXuPsr5mCfnwSX+dvJR7Jag3EK+JXwteO5dotqSpZ/ZAdvXNvV31hDXxjB+8ty0b8yhjpwKXjulb6GseOeLegEl0w5zKa6r6mtHgNcFsm2s0rAnECawJbrOstjffCb+bpe14UQfQL7UAACAASURBVBSseX+rbRRKxfh9EnCCVRz5SjBvGqgoveMi9wrSDv05+AaSWPM56ETZhOAkAKwp4gZFXl9z6cVDfzqv6auvSWiRxuG+o7s/Pndl9Ymdp06NjZ1aQDqxcx/razKvKYgjKG5Ot3199s9nrl7r0PQ1iVsJ7hmRV6kSIM1P8JpFruGjXW1/efDltvc+2kkd9Vg37dy589xXX23B6rFDS27Hzs0nz18++dHRazOv8uMJjwnXPt++c2xs8+bAZbHzvT3H35s9f95l4+RCQugAfDhDy0gnm81Z2Mtz6DSFTvMJBDfr66pKO7Y2VgBr0osGI7cL7MudptzJoizQjxU402BNNZYPVJQdw/Q8EsVDV+bQ7UIjRk6iqy/mYllLrLlYekrWM+wSUHjNbduzI2aHTlpXgtekeOhMay6ZeOiitU/mNaGv+entOgy/NF5xIuuea2Xff7Xmgy3nDh8+fOUKFn4TDp7DWfjfcqZP4zVRAs9T1mMm/ereNslrhvWNSZ3iQX6d+duRrr57tx/c/HjLK6+cQ0dxT2ndhe0rH3585swXVz5UDvntxSVwAMJ55fC2TzpnmNSkB7S+6+6ewx9+uHpfEK3fc3PXL+XffvtZ+2fl5eXj5ZvwGd+0adP4Z+OfYRX5VF7e3T3cCKzJ2poK2sTb+2pX3emK0h1DZd1siWY1FDaeLt3vRNwg4EyCioEmDoxl7x6oqLguHMg+7l8TRYb18ZaFRVoCEmtGWsKy/LiVALBmVOMGLWE79Mf1NbOv3J7GCKwgTaI161+d3nv1taNnvvrqq93PTl/txllfrfnT3YM02KEcgplUCJUE5+7X+qCvSegIxrBBxkOP2wc3JhVLHSWfSevWud77uv5a572vj97+/HPuhDW+nYVuWXP06tWj2I3sUk9rdn/+p8+PXsMjSTiTHs36ztsPvvpqzRdBSObMwNVd+28eb/RN+xv37/fdE7Gt48ePN04In0cCbvKS3G3OVHUeJKxJb5zb7GzcUdpYyD5i8e4F+iG3XPA2ZrsIO/Rh/oGT6tHXLJS8Zkxe/9BvKrFm6DKUJSxSCSi8ZiTjBnn0NcFrLkE7dK39RG8KohOwk/xrOj79XuE1eS6OoOKr051779197faZM3868/mZp6U/8UE65/beaUKXBFmphHoikGAfC6x5rQ126OuIUZF26OF4QYE1CTUUzV4vrb/Wtvfq3aPfoaeor0RvcJdQj2Dva21td0VO3btU159DHke/VrAm/wyq73vt6HdCdIEK5Whp58CDFk4TWFbyh9ZqXuyJ3LJ2oqVjsKpL4TWBm/Ha4W1DhrEm5tABDRHlwFkwVNbYMOc0sCtaegcDSeSu02h22YZLK+5fhJNOL31Nj39NPIoyLSoJSKy5qLpLVjacEpC8ZkQs0EWhT9fXxBw685qEEYESOWzQq/XX7p5Z8/ErVz7ct281Pk9LOGXf6o+wOHemDxcriXEmxr3pvtd2H917rTLEeOjhfNYWf1mENeE4vMj1t69nMId+9stXDlMnPNZLq9F3H/zpT1/Q+vGjj53+vO84dOnQpx9cncZTKX4KzUwf3fLhoc0fXgm84d+88uWDP06++eabFy5cGB/HglJ+fv6FN/FPH2xF7h9FY9r+wniBMoeuvnRYk+ujlonOztJy+IBF4ICphsaqso5CREO1IuJAwInDwSIKVnlF88BFI0NN0tfcIXweCV6TCl3879SSaoHEmkuqu2VjvSUQBV7TR19zCfKaWvsf4zV99DXrGWzO9MEO/fDqnU2OXHzg8Joirqx9wr+jibyI565dm5cn/GtivCMHnZTIEP3qn35578G9aw88vKa0Q/d+8IPKk+4d1PEQNwi2QbBDf/ujk3m5q0pK8vLyVlFHFfeIf3hBKqG4QTklr5dwDz6xC5/Urc/bPsjDMdZjXjV26fO+LppAJxWPur1fXBqbPeKodmgSUyX3rLXj2z/u/2ydu2hdkW7q4cP/pjQ1OgVzLdil66amdKO60alI/aNo3Mv88C1vO3SCm/TTrqq0pWZ4K2yDWF8TjuYbepsrasvtCKEKl+xBJDfZBrnudDZXtkv/mkG9rXF4kcSacdgpskrRkQCwprBDj3w89KUeN2i+vmbmqlXwr+nR14TCJea/O1vg82hzU3pSZlZmVlbmRn8pMxfRWOh45uuENYnYFEAToznMgh68d/ny/2u52tYo7dDD+CKl6qaAHNYVud4bqNt7++aew5uzqRMyX389M8urozLTk9Jzzu1eswUhv9PRRUs7rUXo82zH7B+PdrFqB57Sa99/uirbEZRUHn2zZz/5cl+3bl1q4rJlyxKXJSZyB2NHGDvaf1GEGh8e6+wiKhPT54CZWM4crOjoto3+V3lZc9lFAS2nnMcGyspqGqwiaGrgYNPoshutF0CO9l4wC15zvn9N1gH1X1N5JP4kILFm/PWJrFGUJKDwmtu2X87NTE8v0SercZcx/xv6h7UTNX1Fihsk/WsqNCf0Ndf68JqCl5xpu737g3MfNZmSkhBXJT09be2BzANr05DmZdbmJmVl5lYXp6Wna3GDADeZYvm65Zcbn50/f+lBWV+H5DXD+CZBEY+sjItma77u6rwNXnPzWG7x2lXpyZmZa707Cb1nOvzV7i3wumkyUect6bS2uBpYc/OX967B8Tk5SDj69snZ/8/e+/g1deT7w4gGk6gB9BLSNClLEUVDEDFJjdklptiCGKIIbr2Q2tot22LQtT/sapFWLWFThaJ1JamxuyBVaYt2c5+99wX3e/d57u1+7//1vD8zZ05O+GEFAwacQc+ZmTNnzpzPOcm8857PD0SpLH60bc5XG8Ka8bKna06Rf00KG6SDVuQantgDXjasaTSZTSJGJZGaWD0Hp1nvcU4PwZd7yN1NpufweWQfibjb4w0OR7PRbAss+M9pNzkdezrd/saEHWvwGn3N3u6EEjcIADaLL7fsauklILHm0stYXiFHJQCsuVx26IzXbCGotdriobN7mmOjMJlsRwvoeYZ8eGA3AH+UlNSVlBbvh77mQdK0ZHY92IP4+ej7Y++f/fCKBU0MBjSjVFJXW7eNsppMXUl+saVif4XFUpfGmnBdCDfurZHTX93+6tFXb1wl/5pkxPo0dugi/Dm6Yd5cBENDsx8sZWinaSKO8tkR2EypSC8jsg8CaulM1AIzUBcZHw9xJTKymHmEzssYB7sAVfLGM/vK6PhpC2vWksLm9pStQYlRibhBVXgCr68r1D6bipLC/PKzx469gn1JBXuEz/GmdndtS1Xt5q/2vnPBP9rV9dcTDw7crt1cUVkGgK6V2ux3fEYNtd5/GjEqt+9KbdcB9W+xgtkEsUnU5nJhTfhYN0/3ekeVjyyFqPTG6x22qamkPsnjoUPX0mQ0Jm0j8ZCr/2IwEptoWHiq741FLvpc7e6T4nWX/jWf9uP77M+XWPPZPwM5gmckAYXXXEo7dAYuieEEr7lvVeprMhhJUHLmn2J2znEmA6MEM0tOIZVs+nnD/g8eNKXX0IkjoXjoV98/+/IViwWw9LEJ0Q8rT+1+r62yja2hcxP0ro9++OSzI5f3v1dSVXXq8tUfP0LcoO2ExhZvh24yAcQZAfuMCM9s1WOFENEBOchMUaRnnUmvM6cAGMUfC+XMI52sN4GTsQJOGpmJBHTX6EQkhlIRh8+otwdwok6X8frrUyb0qIe/GJ3dmHmEUKnORLFYkABSye5CZ2TDQGMTAdiME7JbANZEDO6hVODdybvhn1jcoCrEOy8vL894VCw2+h287RRfXBsoPaPV81PIM9QVFhdvvvzBvtdOnPjylbcuby6uK6x7HW/wgpPlNHhN/S4EqbRah4a2ENYksLl8WBPvqtXUwH0e4QPbFXV19npsU6+C8danwGu6OqxsER2YdOq6LxTt8YdD3tBiktePk13Vw2uMeNvp95iIh67ymtIOPbsf76XvTWLNpZexvEKOSkDlNZdeX3P1xg2aCTF5GfMoMtqEcj6WVMmIpBZY8+cqxmuqJuQMa/r7t8I26EobnU3aB/Mm0J6V7+3ON5SUC17z7mj7Dw//9dA3p6pOleafqnrv8tYfsuBfE3FPgC51OqMRVg4ms82EWR52GIReGYCl4zS7qlATxwEvYYyLSvh+MemNJkKnAceIp8Mz3Fwz4jRbTTazET3iPJMZzazktlJNBFZxBKGkMa2rRxi6tOoCTsRtqalxNiectoDJZDZiFraa7GZYUhhtNrsZ8/LSwc01a/9JWHOXPfYHYM17ZBtUVWcoXHe/IBNs4kEXkG0Q9ojH+rynoiJIYF3po80tl45duPD+5f2bd+cVscp5JTPvW19FWHP7zu30lDOwpvr2LHEGb1vKjhiVpKtJq+fx+g6nPYm3HT/HFF6TYU29yTRki/kmvW63d9EJa/PDdvqYEdSc5V+TZLDEdyu7z64EJNbMrjxlbytIAqq+JuITL4++JgNQT68Kmks9zDkzEuDMhJrEcmFZvISBTcKa5z+gNfRMrAleE1izpa2czkUX8/1ZgEbbSnaX5peWHrkRJquLrp5vH56+WXW57FRVbemG2lm8Juarhb+YNJ8RFgTMJBRnDjjthCSNRuBNPgMqC9o0G1LiewKbLF6K1W4CnISnQGdH5GSw82J1JBIch4frZpsd7CQtkqcQvi9zZIynxORtxCFlyLxvokhrYrGx+kj9WEOkN9btcNoxKp3eDpQJXOp0Om3MZnfh9/lkZyi8ps7+7iDnNT+8WVlnyONYM/2k2PvA7NApl0tv6jMZS1F5QYGhHOrFpZtf+fOf7xQX7ygtLC8HAMW/eZTC533tS043nOzYvnMj3rM1zwZr4pMArNlzF3qao6HgxIhtCswq/apK6XV8DR1YE58CrAesmfZMVAd9jY3xhabGxsb+vtaT3c3JIfrpxl9/hdeU/jWf7MOai60k1szFpyLHtCwSUHlNGQ99XpLlFw+kUYY2B5iBoiYV0FEyFiFecxOwZhuw5sw19OhPnNfE0uzjwCaApiHfUrLDYihlvCZsz3+49/bpby6XvfdeLWFNkJtXtv4IXhO0I6Y+wnOZiO7JXi8dLX5jyRyTKfGYmGhNCGcCnhJAkLplR6yC06Q9/hHeBExkR3WwkrDZ9kTiblpM9Ib8UX+8I2B2mox2k9EMuKkzBWyArZqkIzKTViJxPYE1OYRFlx0X+0IDA4dBF4VC7ng93Ifa0Bf+TCloyWFLAag1nWU1m+Y1SV8TdujgNUsUXjP96NmDl7ym5mOTV2CwWEq2Fe8+e+PGX3YXb4PWAUFw4jvnTmlhZuYMbA19+8aN9D48E6xpdNr0SbIN6ooOdvaO1ASmkvSasjSkYk28usS0g4V31jg8HnIFuqB/aI1FAGiB6kx2W0CxQ5/pX5N96rL6fsvOllgCEmsusYBl97krAVVfc+l4TeJ2aMYg2yDYoa9OXjNzSqR7ZLdM984Sm1J5HVPZLDHMw2vSGvo1ldcUp8/c52Huzs+3WAxtbfmWSze+hT/NLw58U1Z7u6zsPXg0zOA12TTI1+EW/h7qTFC2TFmBLTGfYvGcVC/NJtCc4BwBBhm5qXh1EYCTrsdMdcilNVqkAo5enyvcHnb1x/vcPU1NjcM2cwBcpxFL8vaU1WgPpFfKaYRWwrYps83ZDJaSD5nfA03qe066Dv/qYJN3sNEV8ocnq0dMTpuJgC2hXyDhFNbelxBrMn1Nldd8ey+toSu8pnhG7AU3GMBrvlJEdfNxd89NPdhLel/bKmsfXbtx41BxLXRcy/PzsI4+P68phJm5RzenG7727HyGvGbKZtebxtz+aCjeMBywT22BurBw1q7rdkFfkzRK1uvoZw8+L0moXOCdXHiCMvNxWBjRTzssDbCfb0Jfs0PaoS/8iyw3zpBYMzeegxzFM5DAsvKasJZYlfHQM2ElTY+8RgNAObCgQ4pBxKZNpWwNfSav6QeveYdsg36J1zQoWLPAcmnfgxMPP3v0aHNz7e7dtZdbVKzJeE3iXIjXJCZo4S8Ym+T0VrMNepow6DGbATvREaNJAThhtrDeGiCsyBuya5GlDxn/6HVQnwQpE7jeF+0acEccRrujPtRzOEhwNRAAPtST+id6M8OoJ53IpBwanZ7x3mGbGDJagSo1oTNPo/9gUzjYXbMnGOrpCl20kfkR9QXkGrABnS4p1szU1yReU+hrph82ewEKzkp9TYWzLAJBXwCseXP//n0P/3y2oqUSL3f+jjxaRp8npYWZmTOUkL7mxo0b6X14Jrwmrmt1jjXGO8drtsCNPClq0g8c9vrrmG0Q016m32j0U4yvCdBoF5gIv5pINUQ9L62vmeC1ktdMf2eskJzEmivkQclhZl8Cy8BrqiQf8Zqr0w6dg0vttJgJNwl9UKIWou3PWEN/dw59Tc5rVnJ9TdFY2zXvAv1Y2ixEbRZWvnz2lUOXEYKlqqr2UfGjU4aKEqGv+dd7Tk6qLHYNHTgQPqVh3gNr80AA64LM3MeEBIZT0bg0Y51dnRExw0JTky25A2uarGa7raH/cM/h/nqH02YPjPS1+08CglrNZuhxgtm0B+As0JTSvtnUl9WUCPa7IjXMQB1lQspWK123pv/wwQHXRE3A2e0LN/W4Gmp0oJZwQZggYS3dSEhV21s282l9zT90tcO/JseaKq8pHi971KSvCUwlec1yi6UgL7+gvARRsPb9+djZzVVQNWZUZ3n5fNwuxJb5ygvRWk6/CH1NYM1np6+JX0rN3d2e5sAU5zPZEjrIeGhvqFhzPf36IXM6vLO0mL7gxD5ReN+N4OphXsfef8FrSjv0bH6ml7UviTWXVdzyYrkkAWBNHjdoOfQ1VzevmZ4c06CSsAZSId8RSsTsSmlTEbAmtw0iX0ci/eYgeM33M3hNfqp2y+bdvHxLW1tJab7BsqO0su7R5tqyKsT8q9y2e3epwUJY89Spy8e0+pqL5DXJ8NtshMplAKRhwG4H8oTRN4jJFCE/AFkCeAxgqvMp84FE5kM6gqbOjkZ/14CrwTkFxcpkIDjojgTsZruzudkZABPZ3GyHnVGGzyPCmjqjoz982DecpnVQh3VF+3RisudX/vjwtDHpjLmauvytHYCzzoA5ZcRyYwBam0uGNNevT+trzrZDF2iIHjKAUpG0Q1c4yyJgTZjF5e8oKdwMrPlBaUlJvgH6muVFlnlt9LkwtS+9Aj4rwGt6wGs+M31NKHfYk0NDa9cmkyYol7CENw4/jvCup/U16acRQCIQJ7CmCY4VFproQ0AQE54c7Gl9TcRcr+7tUHhN1iCXJhM5ll+SgMSavyQheXzVSkDhNQ8cKlsyO3Q+92IKXu28ppgaM1AH184kx+xIOIIJmGxvC5jPo3cfNM20Q/f/dI/5PPolXjO/tISwJsjNktLdtWUV24qLaysq2yzl8FrIsKawQ0+ySQtUI6bnhb/GWOY2p0y24esT10fsKYQyuZ6g1UEksJdgEmnlGhiQ1YiNzkzW4HCtSfY9+pGL7V1dbni7dpoRUcXYEQl2TJmce8brgx6TCQTRMNGRGbwmdWfUObDw3pqBNdF/KmDzhO7+Khx0JnVGcyB++G6Tu6FmT2ysu0ZntQ93dDhBsi78Lp/0DA2vyW2D9l5u0+hrigfPnjXX18RrPx9395zUFxCgLCq35O3IL370yrFjH+zeVojfSeVFkMy8suGflRncJokV+pp8Df3Z8Zr4rWUk4p6YSwBJ2LfBlI2Voa8ZVvQ18WmDHjLWugkULyaBKEXH7EymIYKc5DWf9HOas+0k1szZRyMHttQSANZc1rhBq1hfk5AG/9PwmiUl29ifAjZpDmV0z6YS4jWxhj5TX/Mjboee1tdUCJ0ZnecR1rTAFB2+3Dfs3tZWW1y6Ix8m0ViwtBhgnL4B7uLJl/vT2qGDYEzpnd0nG92TrQmjvaHVHXSYYM5jh7k3aEYrFtLNVltHbDz9Nx6LjSeMelMARA9A48Rgz90BBNqzO7EUqJt2OrqdnzpjWCD3nkzEOl2DnTXmVEr1oknvOzzHwzt8ot/f1DoCsx9KymwNm3VHxH/3rqvXZkVs8mRn9G6X3xeJu1y+cat1pHWwr9dJUHipPjUaXrOrXfGvqbVDFw8eD4tsg64ROpqXu1Nov1W+w+sObc2i8jZLSd2GQsKapSV1+IVUDi3O+W9doHbxiYI8uWxJX5N4TXohno2+JhSWQaEzeziYyBmZQwYaDUFPdQ0dCs0IHoTYB2iNpsJs7sn36I/Z3xFWNZoYYpX6mkv1sV6+fiXWXD5ZyyvlmAQUXnMp4wbRPMHmjlUbD13cIL/NjC3RmuTiiCVaPIRpEJtjOdb8aaZ/zbtkG6S1Q+ezLk21PIlyfiktSxLWrIT3o7y8HTvwv7Q0v6gSHBKwZm3VV8Caf73Y/HS8ppWgmyPSH+7q8scCNp//oHvCZrQ7nQCaWE5kSpu6PZ3xfk1qbG0dC+hMNiNm4JSt2t/V1V69Za2JvMCb7Cb4iDE5In3tPU2D9a0hKFx2wEoo41MBV4VwiJSIhwd8I8Ch8CPPtNfQxmS3d/sGupriDmYdYe0E7hzta4w2dbmrreaGaNPoRQepz2V0l8VCJq9J+po3tXbo/NkouIjra6LwnPCX83jKBJ7M2wHToEoYB1WU7Dv25zvbKhDWs7KoAAT8vKLBuy5edM1rD2GSviazDXpmvCb97sE6OgW2ghcGSsRqst9DaayJ2Fac0tRBr4PsyBeauHNa5mBWb7eToZ2G16xJWwxl8eWWXS29BCTWXHoZyyvkqASWm9dclfHQBcZQUbUKNw3EataqfwCeOER0DvGaj4jXZPHQVXVNilE5S1+Tuk//aaZhUJkGwwYQmfksEAu8yLRZivLXEa+5rfZULeM1ncCKmKkWbYdOrKJtOOZrHx2orjFHJpsme5vNoGwIaypw0tzg9R/WpmgYIBG8JlmijzQ23W0a7KW4kmB4QAkRHWpPxBr9dw+7Xf0+X8SJpcKMTweW3uGTs6O/vSfeQVgTYBMTPDih9Sljsney6e5A0E5TucnZGu3qGuisDo129U/YPb7RJn+DGWuPmd1l9P10BQ2vqfrX1NqhaxCStEPnrCX7YcXs0IE1t+07duxsYUUFLZ/nGfCbiLeZvU1/osSLz157Q96z19fEx4nCaEE9BMQjAU+GNdmvIa2+Jn7y4CDRm/yXEjVcUKIT6bNLl2M7iod+WKuvKe3Qn+7T/AzOlljzGQhdXjI3JLAMvCYRE2zuWL3x0PlEKLbpiRI1dSWFG2r3f7gPFNj+qqqKDfmgcyhoSknJz++dfzeT1/zNr35z96OfbhCvWVnEXLkL8JKecVnntIGNM0HN/B24SH5pQVFReVGRpa0IS5M4VFx4qqz2DcZrKhMVm7YW/s7RVAfFs8BY38BoPJaMxaON3c3mNdwiyIhlcjh9CfROesPwn6n+C3mDw/B2hCvrbOOTB+/2tHYksaBI6400BWON3Girdt9tig4GPSOJIVqKV1LKnNLZHdexCt8b9EabXBeRG7vusfFJnRb0q0NdXaGGpAl0rTnROHC3KVwd8fY0+brtEVdXj9ezhgK2YPpnTjpZrwu/6XnPmMVrnp5PXzNP+tdUSEsoa9I7Cba9rQJr6H/+YFtFBfn9wmuKgELzsKHsuPjpJvY45dnra+LdoLAGxDPiXVZeMGWn8a/JYCY2i/3Zgx45RqWfWPRDC0nqa877wVwpByTWXClPSo4z6xIA1uR26DIe+mx25UlrAO5oGmRbhgVR5BMkYc384orLN05c+OQvl8vKqjYUl+bnWcqLNpWc+vm92zN9HiHU5Cz/mgJuYvpVumV9U1GUDQaGNBFjmgBnQQGIzsLNXym8JmHNp+A1MefBmnza0+lv8lZP7els72x2mmkxHLXAc+SuPeCINUQi9eJfpL6+2gN6EVjTOmSLeA/+qqc6AVMJcqUJOghUD5TYpjv673ZFO7ud5pfgZDNFFA0Apy6QsJsdJwddrkFX6HBT00DYNelyD/o8tJJPKNVkh4pmT38M1kT69fbEYNPBJlfkZLhnoHMk2QqmtHEEK5sMa9LlYN5ON5+9NJPXpHjo8+hryrhB/NMDXpP8aMLw3FBVUQxe805xBQzlYIcOJc4n4DU1rzl9qKCv+fUz1dekl4l9ohj8Q469YHyXXkPn4FA5uJj3T3SAq+B67Fqz9DWfovvFDEme8/QSkFjz6WUoe1ihElB4zQOHblfIeOjzsSy/VE8wU0lkmsOxIM2Mefn5hYgDvf/DL0c/OnHr6md/ufxeaXHV/kpL3u5T598jXrMJtkEiIDpoTfCaD5i+5i/zmprLENZU0Sab1/MLoSA6g9dk09ZCX1Poa1KwIF2iIdTk9wUa4q5IYJpsb+H4D67TYf4Dzy42xx6PJjlGOpxDesKaOithzYMDweEkICvwodFOZj9ghEyeeBMoSQeCoujMAQSqRH8p8J32lN0T90cPH44ONHXdbeqJInkbxwPAmhQUCFTm6N0ogCV5WnKOee/e9fvqfaM9oYYROEA62F6dQNxL+O0Er2mChTy8zWQTasLnUWbcoLN7L1c8xg5d+tfEJ4cwJYKFAWtaSjYw2yCIrIBjzaL5Plnq7yj2KVJLucFrzvsZSmNNYiOzl+jHIpLkNbMn0mfUk8Saz0jw8rLPXgLAmstlh14An0f7VqW+pqGNQUxMidincSfBTxgDAWv+5bW7XV09Jx688/blsv1lLftLdj8qA9b86rPvm+4eVDU2Gdacl9dUVxI5yKRJmNAsm4cZ1gTcRIRpbAyWOsZr3iQ7dObLnXjNxbEgLP4J2MiAx9XU0+fx9bfGTGZbjc1sht9NRIeElaxZ54yNTaTTGJa9HeA1Ec+HYc1fAWvuMYPPhEGu3QbXmggjqUt2NDaNhiM1a+ASExGfA/gH9zE0SOhdhv3RqN/f1HWQoKa/3d163Qa/mcCOSVvMBUujhgTs3+12cK13u7wNIPqAcQAAIABJREFUvfG7PZOebp+/66B73In1fhtiW9rtwJx2u51MgLOXBK9pjqXjoc+tr5kn9TVVXpOodo41yQ79TinnNWGcjvp5knix6fUWrzl724UdOoGvZ2KH/riXSauv+bh2Cz2m8JrQ1+T+NRXbIOI7F9qVbP9MJSCx5jMVv7z4s5SAwmsupR26Olus1njoBYbKNoRCgQPBfMyRDG6qG7gkKgSveeEgUtdo+MI7b++9WVVcXAGo+ejnr979vktFmrAPAsV58KMHN94/+/KVNq1/TT7bauZfkVXmYWjDaRLHmlniNQmhkvsik7N/oCnkc/eNN08lOsYczSPjDYkABUWHQ6KYyx3yqn+hcMgFfU0dTH501kCD+1ew5RkZoqVz2KYnagB+U/DiXu+6e3eg07EGBkPOkY49TgfCCgWwJp8yN++JQUtzotod7Rms7o11j8U8TsTIBETV65urw79q8nrgPgnWQ/WhprvRxpFYY9fAYEckBPv0yZgTyHfPdc/I9et7bADYoGSzOR0LXjPw7uCTxA1CPHSApfm4u+ekXstrbiNeszjNaz4uHrp4x9N7EuYzt0N/3Jd1hn/NxzVc4LFZvKa0Q1+gBHOlucSaufIk5DiWXQIqr7kc+pqrM25QXoGhrQ2+LuFziM+Lwn07WZ0juM+GDftPX7gLn+2/udv11xN/ePji6VOPTt08/xWtoZN/TWGETlDzN3f9WEOfETeI96pCdkKeCtejHtFATaxLgtdExMra2+A1OwHtaKparB06zgSHaNbpjoM3HPC6WxOBmkjrYGunr7+/IWEkf0S65Ji7HUxkVPyP+r0X99jJS2ZKNx3r67rbE49hjRyr4LZYsHfYhABETkent6mrqTWWqHF0n4z3NQbj8UgHfGNawUYGbKYpe8Az6B+Nd9umKSiQMQWakjxqDrdGDzYN1gRMerNzvB8Knf0NTtgE+Rur43B8NOqKjDht9ejO19gYj5kprEuWsWZmPHTS15yT1xRxg+ihzUPdPSfVWETPHq+ZtkOnn0C5x2um/Wtm8xcO8ZdIs/Q1Ja+57NPl015QYs2nlaA8f8VKQNXXvLlkcYNUZLRa4waBSKREuALb/PwdmkQBI7eVKViTeMvR8E9v7i07VVZ2vuz27XeP9qSxJvQ2F6mvSRJGolmdliVpDR1Y8yusof/1Xtq/Jqarhb+mAIjgJ+lUMgAfmIwcD3Q0hpsG/O1Rf2c3lC2hOGmK9cMOnZmhkyl6uN07WO2AXyQjfMIYE50DTU3uaqfdZET4oU73xe6AY49tuL4v1N7U1FhdP97b6e0Biu0ZnYyArgTWxPJ40moccgwOdLWOTCWN5uNr6PowDjLZrw8OHBxotE+bzM3X4+GDA30d8PnZ3hVubXRHu+4OeFvHHI7+w7Apih6OdjpBhWYbazJ9Tav9XYpRCf+aewlrzhkPnflyt9CTeU74y3ksyvE+ztDXfEpe8xnHDXrcR2h59DUbOhJM2YQ+E48bjTyWexKQWDP3nokc0TJJQOU1ZTz0xRJNmGQRFpKgJkhM8JvalJ9vsVRVXT50gWhNgpp373b1tLsevv3GqUewQ//TT6MgPAWxyRq0z8drqpB9Ll6TXVPBmnAmA6x5qnZzNnhNIDyy+U6lhnoHyZflsNHu8IW7BsJ9frCVFArIHDDaOsZ7lTSB/dh4LGFPQdOT1s3tva6BJhCO3Xs8vcHBycYxp6n7ZGefty+OuEBhV191DB4zYXYU7XFFbIizYjQSvDXbphON7aM+B9kR0RiIQTXZHdVheNfsTwx3V8fd0YH2xoaE0xFv7/IPuib7euD/KD7mSPQfvhudDEcHOhEknXByFj9JQl/THvuFeOjw139Wxg2iT1QGr8ns0J9CX9OQV3X6xXeeaTz0x71NS6+vmeFfk/0EfNx45LFck4DEmrn2ROR4lk0Cqr7m0vGahIPYYu+q5TULEL+HGE2spVtKSjLRpsFSAax5i5ubA2zCFOju6Inv33n3m6++Ov9uP8VDV8AmQc3F2aErvCbkzPAysOYG+HKfyWuCGVz4a4WluxS8G8EEPBZv6vH22qfNwJp3o654eNTnodBAJpiWJ5Pg+14d2oL/bGdKAmfCJybWsFPD1a5ok3+w1edrHHT3R+B4s6HfHQ77Ghrco9HwYMQz5m7qcVe39wzWm5M4C5dCXBYbLM7DPb4R1AAupmD3jlhCzt7GAQBedzDo68Oyvdc3lgjYEF8IJhP9vqD/bo+3s6O5pq+nqz3u9Ucvwg4py8HRhb4meE1FX/Nm5Ty8Zp6Mh86Zzlm8ZunT6GuSbdAzjRv0uI+Q1r/m49ot9Bhj9dN26JLXXKgAc6a9xJo58yjkQJZbAsvIaxrIDn01xkPHnEq8JkWIzN+xuzSN/AD+gEGLi2kNnVbIFQLzN7/pGv3o1td/Of+IbIPUaq6vST6PFq6vSSqihOkZkwR4Wzyb11wkCwKwCV1Lk3mqw3c4FEwkTXZPo7/LHY+3RyNONgkCUnIbISBLnkBDgofEBSlEUMA2EQ9HowMD/rCrc9zZ7DTBS7vXF7NNt0YHvEFHorr9bqgx2D7QGKMh6szOAO2OD4P3bOw2Gs3wkUTBAMmwqDXc1DQ6igX8sHcwXh2DyfnUP6d88MbkisTGQ03R/pjNXuOmNXu3P3zSiavrsvqBmslrfja/f80iGQ+d/fDJ4DWf1g7dsAm85rONh/649ym9hr6Yn3Xz9yz1NeeXzco6IrHmynpecrRZlMAy8Jrq4u9qjYdewFbPS0pLdwBabqCA5+ofIgQhNnnZdwxrCqj5q18dxEp6+MK9F/8Bn0eC1mRQE7zmlwv3r5lXcgpm5wJvwhS+YoOir/nR1bS+5qJ4zRRsw8n5ut3ZEPfGRwJJo23MezjaGgSYq07AtyZwIaMeCScqCU7XkYAOyXIolUwmxjt9CJgevxjpqJm2m3Ud1Z3VseYp83iws37YuSfe3tPf6fNHGyfgqAiujeAVE9jSWhMc9AY90yl48qRQQIg2ZLeNV7f6Ojs7g8FgpCE24txiDiT1yfFgvLPX4UxEfNXjzoCjITQa8tWHoqFqZ9JsgxVRFj8tGl6T62t++Av+Nendl/qa8/rXXIwd+nOvr9nbLfQ18XnL4sstu1p6CUisufQyllfIUQkAa/K4QUuvr8l4zVXoXxN26Aa4NjKUFldUXrnS0tJSqf5RprKt7PJnf0hrZR48SJgTq+WjJ346+gP8ayoQlGHNgwcXpa9ZcorAJuAmcZtAvuA1a5m+5l+f1g7dZAP8Q5AgZ/fFxsaGIaNxTU0kGnU1RPzRUNADp5gMUgqUyfdK6D6oXZINvN46FahxjHR3jDTbsRAOFtQO70Z2mJrbp6eSQ/aYK4wwk33+gcYGJ3wh4RRQmSb9msB49cWxBAtfud5shsqmLmU8PhWwJ18dmpoCZJ06nsT6vVWfdDqd9uSWLVPobuhMIAbU2lpfHx4InWw2mZ02czan45m85rx26FJfk5Ga2GSX18y3YA39OdbX5P41E9znkbRDz9FJdf5hSaw5v2zkkVUuAYXXPHCobMns0An9cH1N+Dxq4W56VhXXU2DILyGjoKore996685bs9IHZ9/8UWUvBbIkK6FR/+G0GbrgNRcRNwi8JhJjNpmwGa/5FcUN0vKagH0Lf5mhKmkOJDzDsWBj/7hzCAqQjuBAe2d39UCPv/V6EivlFMKcdCrVRGGiEb2H4UxcUmdKDU2R4yJYjyfhYxPui4zm6aTdnsJ6PFzCN4TbXeMR70DPYIR8VCPojxE6m+vXG52JhG3qJdat2Y4e4cHIBDxpZF7h0ROsiIwmqwn9TiWTCFNkNMIxknF8MNoemQgONIWDCZsZeqOLuOl5xTSL15zfDl3qayqf8ezqazL/mjt3bsSy8poc9HnkCrs69FBUzq6FOD5F9DGQcYPm/WCulAMSa66UJyXHmXUJAGvKuEGCg1nkPs+Qb2mz5Be3vPXnrR9v3Xpj6w36x/9v/fjjG1uPfRkG1lQJTGhoMiOhu6MffaTBmgxsshiVC9bXLOGspkJr0kp+bUXtZoob1OkkvcnF+9cEy2i3Rfr7G/vjJ53k4GhouNrbN54YC8Fh+x50jSoslGuxJk2LKYRJp3eVrmxELmlKDm0fYs0oRiUQoBHu2LEEP2Xr9bp8w+P9oZBvPAAWkzAl4grp11uPJ5OsD/SCxuQannVLlwKapVuifyk7HUCVWWcF1DTH4q5Bjyfibe8DTWrWA5Bm8TMzk9c8K/1r/tJnJqu8Zp7hlMJr0iPPQazpDnGsuZifdfO/pxxqpv1rKnGDSAbznySP5KAEJNbMwYcih7Q8ElB4zaWMGzRDX5OZzqwyXjOvrdKSv/vK++3ffvnaaxdYot1rF1D68sJrP/z4V9ifE6PJ8SbZA8H90ehH357oAtj8jYJCyQ4dcYMeo69JEztZ99I/llXKhkIkUJq8Fhqj+SUAmzev/qD1r7kofU39erheb2xqOuytTsAmHCBxuL4z4pwe9nVGup1rYDgEXGhNLWrOg4t4vd4Zaw2O2RKRzs6Yc8hkJPi4qDefJl6QqE5PQzBic8Y6OycS0zazNRBYXHdzj0HDazI79Lc/nNcOXfrXVD7jWeQ18YZbTkNfM3d5TYE1l5LXhH9NJW5Qdq8y9ysva7MpAYk1sylN2deKkoDkNRk+e6pNnmFHCfQ1d7Ts++HXd+6cvTMzffDZvh+hlsnRJoebvzmIEEJffnzjNW2MSqI77yIe+vtz8poMsnOQSUhTgZwMdOYZNhRuKMyHkiD7y4f7pZIKYM2tTx8PfT24RFP9ZF9rZIQWsaFvaU94HPYpW7dnGB6PYKDO18oX89LTYvv6aWdsj3NqOtFNzjqhl7lorAk7JBCc04FmR8I+bevwOO1GaJOCEV3M0OY5Zy5es8RQuO5+AUKK4k9RFqG99K/JP1N4QbMXNyjP8JzHQ8/wr0mrBvO8qLI6NyUgsWZuPhc5qmWQwDLwmph5FX3NrVvfr4R/ICSF81DA0QovFeSVbiB9zSvXXtuKeTUvf1MeRQ7atGPTJhY7cvep09/DZXsaa5IZevtrW++0nP0evKaqysmW1onXpHjoRYh5mQYvBGTwR9M3yYz+saxSnsFrlitYMxu8Jix89CP1vR7bdNKI0D/koN08bdUloSY5tIb0MuFVaFFLeXqQmjpEFkoGptbCbN3mHLIaA3aYEi2mN3Ca6IvApnXLUBJGQgH7FnQHk6JF0qRzf/Q0vCa3Qz89rx261NdUPtVZ5DXxecj1eOjKGnp2QSA+EcTaC31N1b8mMfkyrSQJSKy5kp6WHGtWJQCsye3QZTx0Bt8WsQH4KyVf7kWX9v2wFf5DkVUTYc11+785hHjoWEBX1soPHuw58eX7b7Xcr7hzoQuL60o1U+O8+9FPDGtSHCICm2m4ySA7B5mENBXIyeHnDF6T1tBn8Zo0XS381YGtjklvh4E4YkWa7TasmDP60GgcIi1JONIk25tF8StMb9McSOlh/mM2D9kDOmPAFlgk1mRzMeyOmF9Pnd2kH4Impwl7qa+5iDc6m6fgBc0erynjobt81b1iDX1xn7uFfwfIM7ImAYk1syZK2dFKk4DCax44dLuiuLCwzrCOoxhCMln4U6CShtdcnXbowJaG/OIr+17beqWyTQWaFgPcawJrVh1BjEqGKWkh/W7XYYQNevHDytcrbn72YBS8psCaTItT0ddsw6LsonlNgyWPYU3wmhr/movCmlg1p5VyOL402012FieIGe8YKXQlNDVZbKBFUZFW0tZMUUB1HYKgm7B8Tpcg+LoI/+vEXyJhVR5QGJbv5EQeVum6JeM1Bxmv+fbey23zxA2S+prKF0i2eU3pX1P1r5ld9nSlTV0rcbwSa67EpybHnBUJAGsunx06fB6B90PiS8DZpE+eYV95BZYWcq+5u+XaD1uvtFTy5W62BV60lJfW3vzwFqAmqWzePdg12v79bw9dfmNz8eb9lz/4ElhTWAzREvpvDkJfc+64QYzhxPyNRJsn4TVhh37RSfqUT2GHTkqVcIlpN9rtelPAiJiUAYJwiOcD/EnL5wQOF8WYwj6d4CGW4eG/yA4fSVayU0/BW9LC32w9ufJk5CbFxcSggIvJ9yflF97bvGek9TVvAWvee5Ps0KW+5mM/e1nmNZ/zeOgZ/jXp19W8r6o8kIsSkFgzF5+KHNOySEDhNZfSDp2BS2I4V208dFo2z8/b0XLttY+LNhRzFpcvfu/YbWnLqy3b+z2pawJrdvV4j7752enLZRVVVZs37z90lGFNxecmsw2iNfRrL7dUFmWF19T61wQUW/grRXqQAIBAgQTboBKJxOEcYTpgTVgHAXsuqmeaK5FY2CHqnbDmejCdi+2MoUzeJ4U6Au2qgxOlhd/z/Gek9TUHlXjoUl/zl5Y/sstr5no8dOlfc/5PjzyyXmJN+RI8txJQec2l19dcrfHQETdoRz4UNtuOXHvtRsmGDUxxQFEbyC8FCq1t2Qt9TdiYN/01/Id7f7p8e3NZWQXi+mxW1tCFe3dmGzQvr8n54AXxmsd+0MQNIhC28Ncc/jWNWOkGEgTqtJL2JnxewlYcJjxEahJANBkXRR4SyEQCIUmuM+Gjk1brcblFGo4TKOZQGFuYyzPK1UTr9Au/6XnPSPOaf2C85rxxg/IMMh46pzuzy2vKeOikr6n415T6mvN+UHP1gMSaufpk5LiWXAKqvubNJYsbpJq3rNp46Hm7YRxU2fI7sg1qgUG6JpVbDDsqrrx8oesu/Gm2X3jzctnmss2bdxeXPTq3e//eAxdG7x5Mh68E2DyYa7wmXB7BnbsOnCNcpesDNiIx4U8TOpEcfSor1wt/URk2RFAiFhIIQdBJvxIr6qZFUZEc9ELtE4qf6MfMPDFZ0fviPH/OdzdpXpOw5tU3z84fN0jqa0p9zfleo4XW4/cSXnBhh572r4m6hXYl2z9TCUis+UzFLy/+LCWg8poyHvpj1c4ecxC8ZkkJVtErj+x77QYFRtckS5HFsPvRqZcv3B3964kLH7+9F1Dz5ubdu0vrKio2V1zmtkFaXpP8a2ZNX/NYFvQ1yQcRiEcdMCYWpVPQzWTzng4r5+RliGY7HhpooW8xM+expuBsndhHpTNgTeZFacGdIfY6hcpE0sH1EQyXSIkU6+jZnY5n8przxg2S/jXFBya7vObzHg9d+tdc6DdDbrWXWDO3nocczTJKQNXXXDpek6AXc94DXnOVxkMn75qGclpDL6Ic3S3/K7AU5G949N7eX//1xGs37oDR3Fy7v6KicEfpjor9FVVlhx6MYm1dYE1uh67oa6KXrNihO48DbtF6NW0X82LRUje0NYE1SacSPWELYx6TSVmypiI52Vxo4v3qmckRGxx1nkK/ZHK00ISVfsK9IiFyOuNfWXmhfT2mvYbX7GqHbdBj4gZJ/5pLxWt+ncNxg1zL6l9T2qE/5rOak4ck1szJxyIHtRwSWEZeswC2QftaGOnHtA4F87HS9+A1ATDz84sIayIwugo0oTxgqczfsL/l5s2zv37/rcu1m2trqzYXF8ITUnmBZfOjzZs/m7GGzu3Q544bxCA7M0FnmyeyQ//ho4vNjNoDsCM6cjFvlA6G5xzDkVkQ9ClNIDnNZoY7mWUQfBbplMDlC+kfFu1kfA79TLONxmgFXASApX4X0g1vqwzQyCEn2bSjH2iSLoN/zTnt0KW+pvhUZ5XXTMcNogf+3MZDFzEqF/VRWfiHS56RNQlIrJk1UcqOVpoEloHXnKGvScVVFjfIAC4TQcgZ1tRqa+bBQD1/Q1vl/oojdy61bH5UvK0W3hjz4Ny6qKBuW2lx2WcPmuBfU8trwpf7jaeOG6T61/zxo6vOJMNh4DUBNhfzdsL4hxONwG8AcFg4x9o0LHqoL5ajaD2L6pn8YBLhauTAlTxjoq/FjJGNBXAVaJiNkUaEIlmiL8aqfd4haHhNrq85f9wgqa+ZfV4TXxw5HjfIHZrsIL8K2WUc8fHCLyd7oLqJfB41dNRMsxc7y1eZ962XB7ImAYk1syZK2dFKkwCwJo8btPT6mquY1zTk5xngZRO8ZiVAp1hApz1Pda8Xvr5tW+E2AFLG9xQVAGsWb66AvqZmDV21Q0eMytlxgxhkXxivufWHv6Z5TUJfK+3tzLXxSn1NQVc+8T57vCb7WFWd/uNJz/aNG4mlzzFeE7/Dut3ewQ6urUIft6wl0oAx2WzVXdHB1mCDp9lI7sfkxznXvh5+eTwSa/6yjGSLVSoBhdc8cKhsyezQCW4x2EX+NVdnPHRDHlCkBfHQb1RakFPuV9nnEecpkqo9AF5zc9kHP2mxJvPlnlU79Gzwmqv0xV/UbWl4zbS+Zl7huvsF5fSA+Y8L/gND6msuAa9Ja+iIG7Rz50ZwemtyDWtagTVDrm4deQYD75+9P1CadqPRhHjozDbIQzrYEmsu6hP8jE+SWPMZPwB5+WcnAWBNGTfoiUmaORtCX5N4TUMR5zUZ/aIAD8ZFannOdAcKr4k1dO0S+m/mt0NnYGZhvOaxbOhrPrt3M/eunMlrwufRfHGDpL6meNOzy2tiDf2P73g2btxIlGHOYU1rhzvsrU84E4nm5mZn9v7VJByOmubEcGfTgLu1utfTDL9gpBwCGeTeZ0SO6DESkFjzMcKRh1a3BBRecynjBgnAtXrjBgFeqrwmJzE5wyWYLoKJPHGsSPMwsCbpa2bymtn2r5nBa8qZ6ak/yhpek8eolPqaCns5f/SgLMYNwq+2ktMvnvycsGYO8pp6vcftb/c1TPSOdcd6s5gmYmO9E70N1X1dA25fBFhzimPNRWpgP/XHQHawWAlIrLlYycnzVrwEJK8pCJhF72fwmlxfk8NMaHHSXEzMpjInq1dha+h3aA09g9fMajz0DH1NyYI8/Yc1k9fk8dDrDHwNnf+8UH9kFJzduvUa+4GhPvLnMpNlXjOH9TXXr092uPw9YS+SmzZZTqGQv2vA1Vk/7nGC17RSZKzFW9I9/WdB9rAICUisuQihyVNWhwSWgdekCZdNwas2HjrujnhNYRsk7pf2aSKTIw2NvmZxcdVMO3T4PProwdXsxUPP4DUlC/LUH1kNrwl9zatvvr33chs8C0h9zcewm9nmNXNWX3P9euOeuDcajQ4MDPTQv6z99Yz2oC9sRsN9wYbYiHOaOVpYj6ixT/1Kyw6WUwISay6ntOW1ckoCwJrcDl3GQ18s7SR4TRVrphkuhdfUzMSM56Qy8Zr7M9fQyQ596fQ1ScMtp169FTiYuXhN6V/zsR+cLPOa0Nc8maP6muAZnWPB1sa+yUFX9nlNtzccCrn6OyNj3Q7iNenTLLHmSvsOkVhzpT0xOd6sSUDhNQ8cul1RXFhYZ1ingiENQBILwAveg88kTlPwmsfIDp2Vs9F5zvRBi+RPzmtCGpSgr7kNWFNrG5T9uEGS18zaB4V1pOE1uX/NDy9XzMNrSv+ayuczu7wm86+Zm3bowJqmGs94fXUw2NnY2NiftX/9/eirsb+vr9HXWd0Q8yRsDGtinULymtn9fC95bxJrLrmI5QVyVQLAmstlh062Qas0bhCzQ38yXhO2Q/gr2UC85ubZvCbpa84dN4hBdszfSLRhq/Nsg7xhQ+GGQiiK8ukduDe/pKKi9qbU18zyx24mr/k27NClvuZy8pqnFF6TtI9zzA59/XprMjltG/Z0j9cHL168iP9Z+hcMXuzs7AwGg5H6hrEOR3OAe1SSWDPLH++l705izaWXsbxCjkpA4TWX0g6dWDyur7la46EvhNc0GEpYIl6T4gZpfLmTf001blB5NuKhZ/Cacg39qT+DGl6zq/0BfB7tJawp9TUft+CRbV4T+pq5aYcOrKlLBZyJ4ZHuifpIfVZTJFJNPfZOjHcP19jsFNOVXB5JXvOpP9LL24HEmssrb3m1HJKAymsuvb7mKo8blLYNeoy+JmA3OE1K3A79wegM/5rMDn3OuEEMsi+M15T+NbP8SZvJa5J/zTl5TelfU5CdWdbXLMldfU2K4aqzO53OZk+sO4Y0nrW/2PhEL/ocj3WPOGqcATP51iRmV9qhZ/kDvtTdSay51BKW/eesBFR9zZtLFjdohr4mFVdZPPQn5zVJWVVgTbJD/ymT10z712zLPq+JySlnX8MVMjANr8n0NR9jhy71NblCBzBnUTm0PBBYyVKy4ZVjxz4ohYor4iyxeqXNLF4UXxHaX2zpUg7HQ9eZEEnS7rTbbY6RmoRnJLt/I8M1w57hRLPNFrDThRivKbHmCvniEMOUWFNIQu6fOwmovKaMhy6YmIXuf8EOPXM6pVlTSeu2bf7Ll113D95lqasLu4MH77Z/uXXfnZdbLIbyclLEVIE6z83NaxZAQxOEKZuecYIFBUtbScWVGz/89ULk7dh3SLF3Y4dYhgosXZdpwRKIjY2DrBqLjV88cbf9J/KveaUCwsaTSqMh/nzzpH9N/jnKLq+ZV5G7+pq0oq032k2maZszYAO/md1kC6A/AE37tBFW6DwCpvz1uMImbIk1V9gDk8PNngRUfc2l4zUJBzHQtNrjoT+Jf00Ci8yip6jIYtj24Rejd+92NSFh04V0F1jzxr47l1qKWKLpmgyB+FbkWBeikvXGBaygWIslPy/P0pZfcuTjH0bDF75/cJTSg0a+ZwW5WZwE4mQQ3NgfP/pj9GD4y3sH3v7w5jbgektBHgUp5W85+1GA/J2tW18pogJ7QrOYu+emNpu8JmSdu/HQYYcOCKjTpYxTxuT01DT+Ze3vOOvpOHWYyt6Xv+xpuSUgseZyS1xeL2cksKy8JmyDKgl5wmB6FaUF8ZoCOxYUFVVWtrz167+Odo0SyOzqYlizqwlY89pbl1rKC+4XlRcJjEny4v+Z5NQsQ604JPCNgnby8/Lz83cXXNr6bddf/3oYf0g97A8byvJyj0wLk8Bf4aL78MAAnGr3NN09cfQV6X3FAAAgAElEQVSTA3f23iwxGIoIayqiVx6F1NcUH3C8q0VF4H3ZGnoh1tDvlFZAZlARYfWi2Yw9F6P2vVagPPQ1czUeOrAmmesgpVIptspNK93ZTzkzd8iBLFgCEmsuWGTyhNUigWXgNVXGR8YN4pCRI0QQm21H3v/h2xMnwu3+j6If8dT+2rH3gTUrF8tr0vScD14TWqElLdd+jd5PtLd/5Fd6l7unlYA/6o8ePgyBtr929f0Dhy61bCsECpqD15T6mgpzm0VeE98kjNfMTTt0pkFJBkIsrZYJQt5HNiUgsWY2pSn7WlESANbkcYOWQ19T8ppgeYiUxAaAcEfx7svvv//+J1eP/tTn+sMffrj12oMLD7buu3bnrSOVRYzXJEaIGtM5/L9ytlI5B68Jvc0dWNBtq6ysK2h5ed/HN/78xYMLt/DHNshQnja3/nDrDxfwT26eUAaQ1x9cSNje+v7Bl1ffPHD2L5f2w62phbBmJq8J1k7GQ6d3l17bLPOaLG4QWWHnmH9NYjVpWEudVtT8IgebIQGJNTPEIQvPkwQUXvPAobIls0Nni+aYismX+/stfF2M4SdCSqvhj9awnzRuEM29DCFaKosq216/+cGhQwfefOfiQ+gPxo8e/eLYsY9foSX0oiJaQldX0QXS5JM360KZx3lvaX1NDMVS2QZqs6TNklfecunO229+cvWLL9C15k/NUjWS3DyJDEiClH568ODow6vvfPL+24f2Xq7cRnZZhDWR+LtNPL7U11Q/2VnkNSHWHLZDZ0iT2+xwj0RLBDqfp+lptd2rxJqr7YnK+3liCQBrLmvcIKmvyZhJTMDAmpV1lZf27j104MCBdy5efOfq1aufvP/+vmtvvXyppbKccOb9RfGaoDSrwG2SUlzLkb1/+ezF99/55N6Ne5988sk9/Cn/1ByrkRtFNI8RBLW4d+/eO/fuXb139Z03Xzlw7YMPL92sYkZBGVifIU1DEWyDrlEWzn2e57REvCbhuFzjNTEkgEyelghnUrdP/N0uG+acBCTWzLlHIge0XBJQeM2ljBuU1teU8dAZQcl4zYK83aVFBXU3b35z6LO33z7w5pv4h1XZs3fuAGqSGfr9IsYIERGKRFuRw15kWS0ZJxGlJgRtqaxsyy8tzTe0XHrr5Q8//ODsKwf2zfGHqhn/WIXckLCYvDI2VHng/QNv02bfm68cennvh5cut1TkM0aTgUr1EbASYU0LPRI8rOf5L4u8JqSZ0/qaGiQoseZyzWAr6joSa66oxyUHm00JLDev2cLmYQ6VCEOtgrQYO3QY4W4q3VFUXtfScnnv6b0ENz/77Ozbd9768OWXLx0RULOALNEJWJK8+H8mOTXLj2TYoUNfs7iqss1SUoIIRZVXwJt++OFbH9yhdIht2eazO3c+O/vZZ3dwUc2WZeXmMyRIZsaGZHX27bOH7nx27bND185+8Je9gJr7K1SEn8b69IpLfU3lk413NXv6moac9q9JnKNkHbM5O626viTWXHWPVN7Qk0pgGXhNNvXSlPyWjIfOICNDiJiA84oslZaWm5cvXyZASP8/3HvkCLGalWA17xfkAZFyjCmQpoo8GeRk8JMh0Qxes3g3dDUtljZLfunu4pYjRy5fukyIc+9etv0QOfaHDa6n2bKs3DCpzN4IWQG5/2XvkQ8PvfzhpSs3K6vqyHE+f8P5Q6AtK0v/mvSe04uatbhBjNd8MVfjoXOoqaxxS17zSWeg56qdxJrP1eOWN6uVALAmt0OX8dAVImbBu8XwmgWgLMnBYHl5ZcvNm2VlN2/fvHwTqYUlWkAnlMmwJuFMmrH5f9qms/zIDF7T0tZmeLS7GGqblpK6yrKy/VWVZbhICzZX6Bo3sbuSzvEyr2Z5uWHCmbEhqd28ubnsyJUjl25urtxftbmiEhK2AGty/YUMXlP61xQfI7ywS8FrEpbLMX1NbhCkMJvEcC7Vn/b7W+ZXlAQk1lxRj0sONpsSUHjNA4duVxQXFtYZ1nFowymJp94qC4wK4wNe8/1KACMkhp+euvsc6WVRdujkQBOz8Lq6yqqKzWX4t7+iAujFUg6YCVITf3nAmgqwFPCSl1HNjvAtSVHgHbYH1rSUlr7Xhp2lrapu8+ubN9fVoXNsKitgjoT/dCmUMv9Rua5yMx2VuZkygGRQtbm44sr+zZUVm8s3FxfX1gFpWlhEUMZkKm+5wmtK/5rKpzPbvGZDjvOa3O3RkgFNuUifzelvufuSWHO5JS6vlzMSANZcLjv0Avg82if1NTlMJDv0ooKCdaU7itcVbq7YX7EZ/3asu38fxuf8D4ByByeHCE0KtMnO5kVs+ZEZvKYhH+vnhILyd5RUlgCxAgmtK19nuF/4+rp16+j/fSRs1t1/XfMP5depjo7KXIYMSF6vQybrCte1HNl8rrTc0lJpoN8FCE9JxKbKbAq4ib30ryle3izymghRcPqPX3vgyz0H/WsSvKSkwMyc+YqXA8kdCUismTvPQo5kmSWg8JpLaYdOpA9bYJTx0Dlk5AiReE2gRaRCQ13dtro6RiqjQgGbdEylhlS0qeBLBjlZJWsi0I6yJwREWJPcjKMTwbTNcL/D++CIgHel5OUuQwJ54PrVZKks3LHOUN4Gl1SWIsRdVJJ2AV3qa7J3Mv3yZk1fE8LObTv0NJsp6cdlnshWxuUk1lwZz0mOcgkkoPKay6GvKeMGMS4SwIVwXpEAMBycYCKlA1pgozTg2JRO4Tl2NsuKsoImOeJBR5RReuXXooYz/zIqMgozWz7fZUXuJASR2M8EVuBYk2SthZsoSP+aXFgQGkkri/HQWdwgIhBzTV9zCb6eZZerSwISa66u5ynvZgESUPU1by5Z3CB1IpZxgzD9Yu7VohYqMZjC4CE7nrcuj/6lAR5N2oRz6L9ytsgq5TS6VFCmkDmKrAmdODPxPpTajMLMls93OfNxQRabmDyU58MxphZoKiBf+tfkEsq2vmbO2qEv4FtXNn1OJSCx5nP64OVtr1+v8poyHvpiEdVi7NC10E6TF/hS4Eo+JA52qBnPKcATFaIMwENJIB4FvFIFuFJxouhc7NnZcxZEpdyTBBS5K1n+SDRbEjKJXwhfeRRSX5PLCPLLHq+Z0/415XQiJfBLEpBY85ckJI+vWgmo+ppLx2uqKEjymgy2CISozsUa0McaANVkojx+Goc9/GyGgHgFNeVIRyAejnYY+JG8Jpfy02znAZnpR8Rss4TwOfDEVvrX5BLKNq+Zs3boq3aOkDeWNQlIrJk1UcqOVpoElpHXNJAduoyHrhBlHP1QgeNGURYQRoOOONjhTdWzWSU/MtMOPY08AfMlrykkutg9e0T8ZM1DSWcJ6iNl8JpSX1PIBy9sNnnNqtMvvkN26FJfc6XNNHK8kIDEmvI1eG4lsAy8psr4cP+abMGRsXOLnfxz7bxF+dckeELzsYCQaTAz+/bUZvwEnMIgJ99S8zS6JMQDgQuZCwBEV5uZeB/UJVJGgVfJLZcACXh2Sj8lEp6QM5c7k7TU1+Qiyi6vCZ9Huepf87mdQ+SNP7EEJNZ8YlHJhqtNAsCaPG7Q0utrMl5T+tdkwCWvIN+Qz2FhBpKZE9fwSjpPOaxmRZlhyzS1xjoWsEfBnrTL/GO9UQ+sF5GR+5kSIJyp1GkkmEaf/IGyQ+IRYC/1NbmEIJ0s8pqbwGsyO/Rc9K+52uYGeT9Zl4DEmlkXqexwpUhA4TUPHCpbMjt0YnkY4JHx0Blq4djOUFJSwgWjIhkcoDQT63Asw09VDqstlTIXcJrMZMSaQJZ0UAOSRDW/GDpgKbMkauUeEqDnoSQmVy5czWOirCpxJm2UpL6mIqHs8po57F9zpXzly3E+OwlIrPnsZC+v/IwlAKwp4wYJKLG4/WLs0AFOCgtLiNmkcJ3ppME1MyupmXJYzYoy9UP4RtmzDK9CbT77xxpkbBQsQH2gQ76T29kSoAeh1EKW4o9EyR8Re34cwauPQOprctmQ5LLJa+ZbsIYu9TWf8aQhL79YCUisuVjJyfNWvAQUXnMp4wYR6GEoSMZDZ6iFAZcCwpogNiEYFcnQvMxazMQ7/DTNYTWrNOcCFoLGXs2CPZ0n8YvRBSlllnid3DIJ0NNQEpHRLCkCxxE6hi1D8Rzr87yMh86EQ+LJWtwgSNaCNfTPd+7ciEiQa6Qv9xU//TxvNyCx5vP2xOX9qhKQvKbAEYveL4bXzCso2bBhG4hNDjbVazPUopaUjAA0HJSiUsE36TLDlhz/MJyZZtlKCudJJUSopv802XSlzJEEKCmSMOCpbYBA8xVKWjlGDehBih9VtJf6mkw4JL/s6WvmGU4pvKbU11S/wmVm5UhAYs2V86zkSLMsgWXgNYnyYROxjIfOUAsDLgUqQcZW0QWqQzA/iEpAG2VPkzaHlzyHvEBA7MgcduhC5nnKZWbvsH5PvYmUURCVck8SEHgTWZXXFJQ0P4YtCVyFmywv/Wvy9ziLvCbkyvQ1Ja+Z5VlAdrdMEpBYc5kELS+TexIA1uR26DIe+mKR1WJ4TQ5OOBmmhXkMtcwciAA0KuyhM1glP8JItTTWUUCPspSrXIPhIG0+A+KiQ+pK/s0lAUXY7BBJWRWl1Nec+abOUcarlU1ek3weSX3N3JtH5IieSAISaz6RmGSj1SgBhdc8cOh2RXFhYZ1hXVZRB6Zlmpo1vGYL4Z0ZOGeuCX4l1RHWw2q4peXaazcqyRRHMFzYA79lJgXWqbiRjqZvNrMk6lkTaiYOq1l2hNWLK/Fz1JYzL88OqN2opVnDTB957nNCskwQ2gIXNX+g9NAZCKUtS9K/pngVs66vSb7cpb7mapyOVvs9Say52p+wvL95JQCsuXx26Mdk3KA0YgR0UcGKiue0UGZGJaFG5bCaVcscUqpnU4ZXqdfgVemt5vKsbfqIzGVKIENS9FDEYcojMUFzyljATfqRcXbr1msMdPJWz+sW0skerynjoc/7RS4PrAQJSKy5Ep6SHOOSSEDhNZfSDp0mXMZmynjoHJkQVlFxI2EQAV44PEyXRI6fxkENa6xm0/3wTkVf1KvSLcvO3oj2yhF+6dnNZA0XuJCDVmzq40GGoUrO2St5qa/J5ZNFfU1IVvrXXJJpQHa6PBKQWHN55CyvkoMSUHnNpdfXlPHQGVARgBLoRQUrAslk4hpRy07DIX4C2ylZfkQ9SymKjtn54hoz90pvolodi6iQeyGBDEmRTDUHeJHq1AV0BjWlf02SDCW8ttnkNWU89BycROSQnlQCEms+qaRku1UnAVVf8+aSxQ2iyZfzmse2vl9JhtZSX5NNwiqXKMCLgKHpMs/xKZumbXGeyIoyB0DisNKxejLVz0x0UJMyCpp6mWXQUhWDVmxcvpAcMrN4TelfkwmO3qts6mvKeOirbgp6nm5IYs3n6WnLe82QgMprynjoKp5YYGZxduh0ERWsqFfUQpkZlTRrK4fVrFqmGvWw6FitE9fR7pXmokodi6iQeyGBDEmRTDUHeJHqMnlNqa9JkqGENzOLvKaMh57x7S0LK0wCEmuusAcmh5s9Caj6mkvHaxLlI3jNfdIOnWMVsVXmYy18Efn0nk/ZNG2zHPYiK8rp7vhZakvekBUzN9ROkzIKmnqZhZw0wtEWuKhxEJlZvKaMh84ER6LLJq8p9TWz990ve1p2CUisuewilxfMFQksI69ZANugfS18Ul5NEEbymgJ0rc493tX0jdGLK0rKS8yQ6AxeU+prKsKBsLLJa8p46LkycchxLEYCEmsuRmrynFUhgWXgNWfoazIKSJ2vxby9kve0gCr9awpwser29GqqSVsQ7yy9zLN4TamvqXzGs85rfi3joa+Kqed5vAmJNZ/Hpy7vmUkAWJPHDVp6fU3JazKgwoELJ8PU6VhgGS2UEXWsEbFpnFFjOyWrNBdnib22W6qb60/pTRyas404+HzvMySFgioqyiPxRyn1Nbk0Zm4hnezpa+YZRNwgGQ9dTmArUAISa67AhyaHnB0JKLzmgUNlS2aHTpQP19fcSnboktck6KbiRpqb01gusyTqWRMF1LDGHN/wLe+NV6t9UT+sigEhVpqxUU4TtfO2Ew2e332GpLQFyrMyNrN4TamvKaSTPX1NCNly+sWTn8u4Qdn58pe9LLcEJNZcbonL6+WMBIA1Zdygp8NRUl9TgK7Vucfbkb4xelVESXltGEyX+pqKNGbuIJ0s8ZpMxFUUD307YlQiDQ1tWUtpzZo1OfN9KgciJfAYCUis+RjhyEOrWwIKr7mUcYOI81F5TWmHzrGK2LKpWYAXTi6mSyKHRnQofVjNslpWT20p8XNmZlk5YyPaK5X85IwWssAlkCEpbYGLGpJDZhavKfU11Vcxa3bo+BopOd1wUuprru45aRXfncSaq/jhylt7vAQkr/nUkErymgJ0rc49XpD0jdHbIkrKm8OhvtTXVMQxYwfpZJHXxBr6H9/xYA1d6ms+/ntdHs1JCUismZOPRQ5qOSSwDLwmUT6S1xRTMKfBUCLEoiQBXnhFuiRyrDWdQYmdJ7KinO6On6O2VK/BajQb1k26PG+7dJPnNZchKW2BixqSQ2YWryn1NdmbSu9VdnlNqa+5HPOCvMaSSEBizSURq+x0JUgAWJPboct46IvFUpLXFKBrde7xXqRvjF4SUVJeGAbTpb6mIo2ZO0gnm7ym1NdcCbOKHOM8EpBYcx7ByOrVLwGF1zxw6HZFcWFhnWFdeioVU+pT7MFnEqcpeE0ZD52ky7CK2LKpOS1hKqZLIscq2anKYepFqVR6EzvlbOUwdTBPmnFo3nbznP4cVWdISlugPCtjM4vXlPqaQjpZ5jWlvubqn5VW7R1KrLlqH628sV+SALDmctmhG2TcIIJ+M2AiAysqcsssKdW8ks5TDqtZtSw65Xt1lldOoWYz/2YcmnV8Zvvnt5whKRRUUVEeicl8Bq8p46Fz2TDpZJPXhL7mSamv+Uvf6vJ4jkpAYs0cfTByWEsvAYXXXEo7dKJ8uL7mMcSoZDmDOl+vBggDVkvGDRLYYvXt6RVVk7Yg3l16mWfxmlJfU/mMZ1dfk/nX3Llzo369fo30ebT084O8QlYlILFmVsUpO1tJElB5zaXX15RxgxhQERQk4IsKVuaEMjMq6TzWAWfSlL44qYYDlJTDomO1TlxHu1eaiyp1LKJC7oUEMiRFMtUc4EWq4z+nlC12RXe2br3GECi1eX4T3sxs8pqnFF5T+tdcSbOMHKsiAYk15avw3EpA1de8uWRxg2boazIKSJ2vxby9kveS11zVUIpeTTVpC+KdpZd5Fq8p9TWVz3i2eU3oa8q4Qc/tfLXCb1xizRX+AOXwFy8BldeU8dBVPLHAjLRDF6Brde7xOqRvjN4NUVLeE04tZ/KaUl9TEQ6ElVVeU8ZDX/x3vTzzmUtAYs1n/gjkAJ6VBFR9zaXjNYny4fqaMh46ARWGVcSWTckCvHD+LF0SOYZv2Kksx7qgE1l7aiSqlT3vh11HyVKLzKScJirnbScaPL/7DElpC5RnZWxm8ZpSX1NIJ6t26DIe+rOaKeR1syABiTWzIETZxcqUwLLymrANquST8mpCLpLXFKBrde7xrqZvjF5cUVJeYg71M3lNqa+pCAfCyiavmVch9TVX5kQjR00SkFhznveA9K/1eqteDxmxPRUpm5FwMEUVrJHeiuZoa0WRt1T2VM8O8WpxRWrMEp2h5vX6lBWtRSPas2MpdiGWFVX8HNFS9CD2ynl6najgw0Npxhnay4tbSTdSLiauqex1OnZDdFvp03mVuJy4itiLepyhU8dEldoG6TyJIH0Ka2bVUVuWzTiiFsTZT7hfBl4zra8JXlPaoXOsIrZsShbghZOL6ZLIMXxDZ1CiSjUryunu+DlqS34OK2ZuWDfpqnnbpZs8r7kMSWkLXNTsaczmNX9ZX9NgqKuDQwYkg+HIW5duVpWUVFRZDJvy81jHhnL6WVZu4GLPK4DnW/Y7Ld+Q/uMWSWIcubnPpr6mATEqpX/NJ/xql81yTwISa87zTBh+MZmNVoCb9SYzB3rr9aaU3mgEPCLAQ3/rjQGj3qhbv95qtFrNJoAhvcmMc5QGLKMzm/QpUwoAi4p0kpLQSQqdpUwm1DHQhrzVaDPpzUbRhvaAc7pUwGbV60xGvS7FuqHmKVxPA9VY33xYer2OBk49G+0M2KF/k5k6QEntm27SqqMBc/yHHuk0NKF9OvFB865x3GTVBQJmnKszmk1WsxkHTKaUNQUpMRQJofEz0j1QDnU8me2BFGF0o1EB6ko7zUl6CJOuZDRC4ikj7h+jNtvZqOgG6PYJoc/4y7zgL5WANXncoOXQ15S85myYSAAhnTJLSj2vpGbKYTWrlnkf6tmUUbrl2dlbpTdxgJ0gCnKvlUCGpOiRiIOUR2KCnmGH/iT6moaqqqq6dXk7SneUtOy78OahN8q+Krt9s23Tzz9v2pG3bl15eWVlZVt5+f37uMa6dYCa98vL62pP8VSiJAY/aRS5miCdLNmhM+YY+poyHvovfanL47kqAYk153wyDBMBdBEyA17TAUgZwTbqUkCMKR1QGw4A/oBo05l1QFsmkzGFbSoFWGkEniMwxDEd0JAVcMkKHpBOB/XHD7HjhPQIsQFwIkvQC2BPZweeRQ/ppDPprFYMA62RAV5MoalVT+iVwJaAcHRF8WfFKNAGLVJmXJMdShl1QG5KiY/CmsKQiDFNmXB/dAEr2piAatOAFP3zK3D2FZJIpdDGCGCKcyEMI2RC/aIjQoYMGrNLKufxvDo4HZ2N0ZNAZt6A5lZoVOieC45o1PWA/LhzXDF9y+r98vtOi+yJcgqveeBQ2ZLZodN0qOprSl5TIEZCLEoS4IVXpEsih2Z0KH1YzbJaVi+64+ewjjVZVs7YiPZKJe87o4UscAlkSEpb4PKF5JBhmI+95XjX2RsPn0evFFGBDs/1Z6ioqCgsNBjyLS1Htv744OrXL353+pvL50s2tZ0vrytk6fXXy9vagDaVRFhTpA0bNqBJST77aM3Z/1zXfAZ1WeQ1IUzGa0o79Cf6bpeNck4CEmvO+UgYPAJZSTxlgBGDAIFAgyYGNfVmGyg8ACYd8B+wIng6u0lntwHYBewASGAfORzifdMqM0sphR9l4E0gOCAqOo7eTYRqASuBwoiVTCfOX7IugL50ALV2olCJFUQj3jfbpvNWkxnNCPcRSOanYqQE8jjo41sASyMdRHMcodOtRrOdodP05VmvGCTrB/dswj/GaYL1xQkQCcAjECAQqxlVhKpT1Fi9QwURKj0awZnSddgZM26AOkFiZ6IjfklUEMBkBDABesrSeZRYXt3wuifeAmsua9wgqa8pECOAjIAIaVRHNbMSr6QDymE1q5ZFp8rZVJ+R5RXardKbqGIniILcayWQISl6OOIg5ZGYoGfwmk+ir2nYsG1bYWF5eVHlkd/9+dtbPz14eBJo88j5tvMtlZa6wuLdu3eXFpdbKsvBZ7KEazGsCZjJkCZRm/xXHIFbNpbc20A6WeY1Wdwg+r6Tvtyf+GteNswNCUisOedzAI4jZo9WbgHQAmZQiYS0gMNMRAPq6LDZbmRYSIcEug3UIANzBNyMDEIBMbGEGiBEUnAE7Un4kGMpBYHhKP6xtWfqmRhSK1bdtcOiFjiNuL2U3QyuD9AQ4BZokuhPOiaS6BOVWN7GMMA6ggkFOwggC7yGG0KdMgJkGHGLPVA0eqTLA+oSIMWl0olOIQjJ9tQdls3NNmdAZw6YTGYdzgZwXA9kCObUFLAF0IStjqtjY8MS/RkZlAUTysaReQO4EEt0AmFuJAL4xAxTa7oTdhwFnlCp+ROXeMK9wmsuZdwg4nk4rynjoTNkQlhFxY2EDgR44fAwXRI51kQBNawxxzd8y3vj1Wpf1Cur4l2yYuZGOU1UzttONHh+9xmS0hYoz8rYENpTcB/PP4G+5oZttRxrXrl07Md9sTd93//08B/v/u7S+Z9LiNfctrkCiLO4OANrlnCgSVhzQwlIUXFZfMCU0eTaPou8Jm5W2qE/4Re7bJaLEpBYc86nAhVB4uyA12idGCwigBrQERAZLajjEBbTCWURCgTJtx6qh6gzm/nqMqfs1I7RipbeaQGdcJyCp9gOpzMQh+6AnqC8CTSKSwFbqWcjwxBXiqEzIjVxEhQlU8SDknZlOmWcA0xMCBcojRAalCntKbRFnkFGdhKBN8pQU6MJWNNqshupc4BFAeZ4n2iDq1Ke2jNqE1hTb7cx1UuCsMDkON2sM4LjBbQlIpKdiua8C3WguA9AWtaCHaQelaS2QRljYiPla/YkagZh0TUyymjQTOl8Ubvl5jVb+Oy4mpCLtEPPNXiT3fHgXU13SC+uKCkvMYPpM3jNJ9LXxBp6HdQwi8pbLm299d1Xn//rxdbWh1c/vva7mzdb9u+vqtu2bQOgZrGhQOE1i8g6SChq0p5flP+We854TfqalLzmor7y5UnPTgISa84je4A0qx4knY3Ql5FWi0HYwTIHoEcHQpPThAwommmNHZhUb2x2kmWPzQ5YBjAkOkaBkFLKBD1MvQnmLYKJwxo9cCWwE6rRP7ZmQEKiH2dAKEC5lN0OlEmHgDIxCIExsVcAmrgc31MfbFUeRCDnVE0Bfg0yuVH+0BSt2BI4ABzGoTPDLokh4wysyTrTbkCTpvREbgbMdhvuikFWYEOcTvfBy9Q3vxC/HaonUhQnk20QJcKomTfAqqm9HndL9ColIw0KXCnwsNkIMpcS6xPHMm97YaVl4DUF9WJ4S8ZDZ+QkYRWOWFS0ooUvIp/es9bsVHEepyE5ymG9MQBE3fGzKKfNsnLGhtppUkZBUy+zqmSZKLRiEw+IWvCfUGA2id1kb/wT6GuSbRCMg/Larnxy6/NzjwLOb6q/d916+P7Z333zzeWyWiyiP9qwvyWfPZsilmCbLgAm7XlSapTnLUaVK/ss8pq4YamvuR9pxIEAACAASURBVLDvd9k6pyQgseY8j4PBHFpPJijIuEcgJJCatIiborV0mGIDC6EEDGQke2x9ygbUyZfJOYriXaMRbIbshDWJ/OPoigGx9Vay3CbYRWvEjGUEA4oeM5AelvKNIPmIpEzZTYTj7E4ARoK4wGkKVmM5za2wZW0s5oNCDIBEBL+JPOl9Ekijf+yPsCaBalIkpcZWIy5AWFMDlekKDA/jykhkbY8cDdxss6dgFUQnEN7EyMnMnZGODHwSriSoqBgasSyDm1Bo1ZlsMGRn0qCRsBGx4bNWVAXik+FfQFr0pjMR2KTusV6fRV6T26HLeOiLhVWS18wVWLM048B7ke6YXhJRUl4YjvgZBhTL6Cj8cjx0Qx3xmuvy8sorj9y49a4ZK0bOkfF/XP3y6MP3X/lg7+Wyqq+qqmprNxTDKxIuVV5UXlRUrgJMhmfZRRXIqYwm13YYevb0NQ3Sv6ZmgpPZFScBiTXnfGQEyVKB5mGPx9Nx/Xp3h6dj2GnHKjPDmjCIDmBZ3XOdaEyASPBuwGlATuaAM5GACqMzMQx+kBAUSzqdvdnjsRP1SUmtB68JyJbCcrkeIBBQ1siOA3kCuGqHZbRhIN3XOzq6x6+P1NiMgWbAPZvTyGk/0VI5me9AvAKTAQoGEt01dqMtMdysw8K7kTUWQyAUCZyJVXawhbY9DrofnMVWqbUDALiGPBioBi6F+ROQYmI4YHcGQGyyA3T3JhtJqwPCGknYSL+ArPbpdhXFS3HfBCL19sTYMC2k02i1N6Dm0RrXMhrte0ZILsyaHvwmwLACYKk70SX1Qkmc/YR7hdc8cOh2RXFhYZ0Ba3piKs3Cns2MNBcyEga85vuVnALK5kWeeV+4pbx8UC4t1167UQnvh+J+aY/BZSaUeaXmUFrS1DZdEjlWSQfEYTWrNE/vlLPVljMvzw7QRnN5XlSPyEymBDIkpS2ojwcZeuj8LWfvPArgNa9ZqF55JKK1uif/moX0ebO0XLr3w2f40Zo0nTO/8ad7Xzxovffm27BJv3yzrOq94tLifHK5iUTUZkHBJrVDdkl+WbyCavWT5/LPw+x9Eec9+RVo3EXlkA8YWUvJhleOHfugtAJuRclvKOrnu7ZGmOyrg4sW0pT6mk/4xS6b5aIEJNac86mkQGHauoP9LrfbHQqHsO2P1NBiLhF169fbbfgZ3tofc6ZsDo8NnB4BHQCyRIPv4h5nc8QX74ZdDhGVpJ2p09X0+nwJdi4jDKk1EseaRsKaIC2dI9edZG8N3U878Kt2WPYR3ySG4cUwXP3BmJOMvc1OJ9wsEVYTLXFm+g8Aj2Fb83AkXj9s76jubIBzJpPiSoldns5MkWUPjT5pG48Hx+HCk9wpkbWP1hCeN6EbIZwHbGp07gn2X7fZbYluui2qhcvNsUkXkts92Xix10Y4kHpmcJCugLvkf1AH1euHI/3VgLZsIOIG2GGlQAfAKFsDI50Xu20QEBkUAZo698DanydqrnQpulZ7erLMMuprFry1des+qa/J0R/biik7jW2oZlbilXRAOaxm1TI/Sz2bMkpHPDt7q/QmDrATREHutRLIkBQ9HHGQ8khM0ISI1B9VhJQKzgJrIjO/gbjBsA1YE53B59HVW98ZzdNTQ1PmwKPEu28++OnovTc/O335dhlSBZwbabEmvyq7Mrsov+xC9TU3nf/bv//bvyD9/d//oy3dZdZzkM5S8Jr0nSr1NZ/sO162yhkJSKw556PQAc7ZPcFJ4MxQOBz2Hx71djrYui6RhbCBsQaG+10NCdv16tbrtJgN1Utwf3uC7slYcyLYODlOapEwoSYwqEvtueh2dweQRQ0BJVoEJpwFGyBy9I4mVnN3dTwGpUycgPXuTF7TNuaNtreHvV5vKBRy9zckgMMCWLBnOqWENakrsWCNPEuMsFxvvx4P+2K2+j63zwZtU7o0HRUDMEFxkvGMeme9u7G+mZVARzKf7qpkeH9syy9kcl6Pe+udKU/E1wAVTUJ/Vl1zdTgahbwgMO9kQ7PSPL0TyJAWzq2x1va4AyMimE7XoSHRAj2a092gO5groeSccLsiCQYzIa2As6F1oplgMJqQrRVrS+15Ukf8ZJll1deU8dAZMiGsouJGhhky4IuAMuk9a62AGtaU4xu+5b3xaqXbDJhJF5gjKaeJI8opoij3aQlkSEpboDwrY8NQpYCbVPjleOgsbhDnNY/cuxUzTR9PJqemUuceffX5i1/faz3qe+fAh98Aa8JMyAIvnBgQ5zWVkbErq5fFpZXRPNm+5H8JZyrp3/5nQec+2RVEq2zzmogbJP1rPtmXu2yVaxKQWHPOJwLwZ005InGX2wWybtDfdLc96LBCZxBL09wsyLanf7J+OHGyL1ztJFBETKi1u9Uf7k3UnGwcjIHXhBkPVnwBOZPd8Wi0F+wclB3BzxGOIv1LICpm/k3ITxeI9IdPOm0BOo5/DIApQ1vTHDnc1O4ebGxsdHn9A9HGcaveCJwG1EuMIgNq5IGdG2gzGMmgLFzEW21jk019vc6g199HZj+gZo0cyGEAONdkI2eZWJZONgNrNoCkBHAkr/SZcYMYbKa7xH2CU9WZmq83hiLN1oZ+r6/Gjp6A+XSOoL9nIARi0xvt6Wkcp+BB7A6BnpHjqJAAJWNBGyabJj1OOxunegNME4FakmomM4WyJiJR/8UR5owTJu7Ojrjf1wHR0oDIlyeaapJWaHM+1hmVKq+5HPqaMm4QIB1HdWybno4FsqGaWYlX0gHlsJpVy/ws9WzKKB3x7Oyt0ps4wE4QBbnXSiBDUvRwxEHKIzFBz+A1n0hf02Cx0CpynqHy8r1b4/ahM2emzwxt33XOfO7cGw0P+259//C3h2ghHVbpVYb8HZzb5NfkWzYQRqcCc2oP/FJ+k+XfBc7k+7/90hmLPg7pZI/XzDMgbtDXHsKaSJLXnPFlLou5LgGJNed8QmTubbI3j3THYrHuhmCoqWewI2Bymq12m81kBKzEPtbrcCY63QNBG7hOkG72gLmjsz3UkLB3T/TWENakKkZsenx+/3hAiQsEqEl4FZY4QF4muw3qj7DgqbmIngII9oPlcRh3m7XDckYGBhqru/eMeK43XAwNuE9CVZMWsmkxnWNNGPfYYR0PXUvlj4x8CH4Grg829cdsJ93tjbgm0CaRh8oAkMNyfcBmxjACdkdkzGHHXRthTU6m9NoBrCe3mXZa8jbaAYcRQLLmeoPDZjvpijY2m1LkaNSqG+487HfXx3onGiKugZAPJklwCcrc3EMU+OMAkoYJq/uxvqZBRw1c4vMbwAXQknmYIqxJUNNOmpmmmga/v3rE7oSQYIFli002xTsooicM9gMBchGg3jHuPHPMGTcwZ0HV17y5ZHGD1KVFrKHLeOiYewkiiC2bwwV4oWp+IF3DGytniMMc3/Ct2kB7tqYjlp29UU4TB/jJoiT3GglkSEpboDwrY6MSjKQ+ydIT6GsaXgfWLCiwtHxz9YfrqX+eOXNmaupMMrVr1zl7857Pqn0/PfB9/dlfCG62WfJ37NixadPsYeFaHOeK0TzJvuD/IYj59//9n//6z79x1Plf86qVKjf5JN3O1QYjzpq+Ju5V2qHP+TUuK1eGBCTWnPM50WI39BaTxmngvlg8HPUCB5psTsdYfaQ35nHqAjZnd8wxHOvzN/VBgdJsc8Qa6ifqO/3hemDNsfFmo942Mt4QaYg5bFbdHmDNbrvZmdizx2G3DY94OmJjHc1Wu9MzUV0/PtwcSDWPoad+MH1GwLjeSKQXaqBEAIJI1Fmd9QPRix7zWmvS6PRMDrT70Mzk9DREIhPEDaKRbXi8ob63G/07zbAHcnjGIg1jyJsC3YNNjbFA0N3eCrzYvOe6wxlIDCc8YxPXh22wOYo1RKpjzWZzwOhsGE+YTTZHN436ejO6ZWvjsK5P7HGMxOojY8MBJ7Xv3QPnQzZPb8LpibcPuHsdAUTsBHAe7hwIxx0mmz3gbI36G20Be8rsxHkNkBdxlej7ekN9/RjdpDXW2OQaY6VmRGlP6WwjKDX0Xk+QAymzk1r2QnQMawYbeqvrr49Ayolg6K6rGmvvOucePAk2zJS92bHHc30itgdx2ReWVF5TxkPXzOMLyko79Lkwxuqpw8uQvhl6M0RJeUsYTJ/Baz6ZvqYBpkFF0Ne8svfeDx2/Pw6sCbSZ3L4dYPOFXfY9L77TevQhQlce2nv55vmqkvy8TQBbuCjs0WGRroxEgbaWBfGa/0VQ8/8iyHoRAmD+DxX+XbmZrO8gnSzzmixuEK0RSV5zYd/1svUzl4DEmnM+AjLSAftIXtXtzcGBgVAkMQQq0lM96A15J4MePaBe0Ndb7ws3HfTHu50B6HZ6vZONcX97JGGr9l30GPXdnYPesLcv6DFaOxr97R1m+556X2d1c0fwYmfrpKt1TNc85nNHvX2dYzUp4NnRu+FWwL7m3kZ3OOSKe6wg9gA17XY9eE1gzSnwfQBs8ehAI8hI54RvMtTubh1jNkcYmDvkbUT/3U6dcbg67gqFvBe7AybbOHjN8UAwFIrDGr27s6/6uqM+GGl1u/pODptHcD/t4cYGwDjjnvjFMafdGWl0Qyc03uAgm29SxLRDKTPY2Rdq76seHg8OhtoHq202W3N1/3hHtXe0yT8YqSHH7FadoxNs5ghGaV17sd3fbwPt6rzeH2r3DraOoZ+UbTjS6A2HJjtjQN/djV3hVsjH3dpbswa2UJ4gJBuCymgC3GvzdWrp7gehWVMf9Xc2usKhweB1m3Pc1XM3Ohjx2MAgY+TexoYavalmorqztc/r8jkXgTU37nrjwB8PLR2vSSwPTcUGyWtiJsfcS1hFbNncLsALQy0qlMmo5WdQa3a2aCnK6e74WZpuWXb2hnWTruYdpssyp0ogQ1LaAhc1JIcMveT8LVfA3xPpaypYs2Xv1cmOIeI1kYbwwzmV+v2uXbvszd9VH7116+Gb7+69fPnK+fyfN1lgNQ6sabG0WYroskh0VQulOd4bMcBZ+/9L6NKStw7aokhMdXMl8JqQsrRDn3OylpUrQwISa875nBjQhDtK6Ffaql09Xl/MCTuVWKvX6x6EiY6vw1nT0ecOVneGRu+2x2MOTxzYyOUO+ZvCDTWJRrd7zHm9ETWDbm+4tSPQ0e8Pdzs9nYNudNTb7w3D0qcv4uwEIoQ+aHjwpLOjM9QErNnh6Pa5Ql63yxtqbICXJNh4m4xD0NeM+jypVMBpa/a4BvydRtPwycmw1+XCcCKJgNPjc8NK3eUN+70Rh304GPK6BtFNX6+jebxvtH/MHgz548bmhkEY2gzbfN5Qu9/viow39LFRe92+60ZTQ/tkJLGnehDnQuXSW11jhDE6Vqhtvf3trAqgcdI16Q773ZE9CdCwwVi9u6fL3xdJYHUc/xwXB8KNMacd1GhfNOwLgMANYhAwTff2VTtMVs9FdOsGVh/sbTaN9Xf1hKAMC4Be7bTXNDTiEGzt/a6LDpPuug+nTbqBpD2e6uhoO0pef6i/e2TCNXAQF9zjqO+HcwD0PNnpsDkuuv3t4bDL58gI7Dnnc82sXEZek7DmPhkPnaM6thUYgM34bEM1sxKvpAPKYTWrlvlZ6tmUUTri2dlbpTdxgJ0gCnKvlUCGpOjhiIOUR2KCnsFrPpm+ZmHhuvtFRTtKyi7du9XxEkOaZ85sWaPfuAtQ84UXzpmbYSX08MHRP78J7+6Xr+yvKikBqCwvKgBGLAfeZAAXGwvQ5oJ4TVo3/xt3doQb+G+U/uW/2b1kfwPpZI/XlP41M7+9ZWmFSUBizTkfGCAeIi3C+7m9uXuwHdY4icBLWAkPRd3xYNwddXV6HONef2ek2n24yxvs6IYJtruxsz/c1BXurRl2tfvrR4LhUZcvGHcNuOqd3cCaE7GT7rD7ZMIW8Q70+EFcVsfch9v7LnYORttdHR7UoieHJ+gF09naORhu70vYsY5PCo3NkejAYLXHM94wEfGFDrsi07YGlz866Av2hfz9vc2eoNsf6vPFvU1d0aCnOTLZE+4P+vr8/vhEDWHNcWDNaJ+zodEfAhg09/V0DYS8/b0RWCx5450+XPGiPVDdFAoO9/a1+/t8YDGjrXtMpDhp0jkj3q6otzHeCIsfvzseHxzw9487IqEmXyzWF20K+8abYbcOLVPwmlF3Z6QhEoyHBlwRu6mmHigdA+kPt7smbIGT7mgo3troxrDG7A2DXU3tg/GLgxjYdeeeVibZVuBod8xmC7oH3L5gf7vf3TBeHQUo7bvY5x8NVXfH+qN3Q60TI/RM6Em4gHsTw43+u4dDrsaTw/Y5n+X8lYq+5lLymsT5cF5TxkNnyISwioobaXYX4IWhFk1J1LMmCqhhh1kHSgXvjVerfVGvSkcsO3ujnCYO8EuLktxrJJAhKW2B8qyMDYN97C1XeM0n8q/JeM0dJfCveavDCtsgSkNYALG+9Hvdrt/vhN7m7eE/XTwKD0ivfPC7vUfOnyqpBKNpyC8uzjdYKgliIimIUxmMGNTj9gV/B7j8nyIx/ALCmkuosJk1fU3Ga0o79Pm/zeWRHJeAxJpzPiBYaBPWNJmSsUZ/tK/eOZ0yBerD7e764eaRiCvs7t0zEQauczSGBzoTARB8oe5EzYjPPxCOjHhc4XAk1tgerXYkPJE+X6/T0+qPBn1eYKfElP1keKA9GHM4GhrD4WC3c7i3tb092D0S9x72OQJj/dFwxNNcM+6L+kEGwmDGqB9yNhxuGoCTT/CN/tGBUNDjHI/3hFo7EolY6+FQ3DE26Q9FRmquB10DUUBSEIKd1x01ewb9/mDNGPQ1u5PV7nZXtdsf9kFd0zbZNNoHt+vDPrd/cNzRPNzpjg4OJ6oHQp17ImG/q7u5ZqLTHQTWhJMnu85ZHbqLI4nYYLTJVT2ciIX87glnr7spmIB5+0AflCpprV9nSgR7mkYPHz48MDDa4z8J5c7xwbA/OGIb7oWQTg7H3D2uYLPTAYAa8tU09I2GfQ0juJHD3uBId+tk38RwzUhksj08nujGuCLQBj3pckcmgod7wLE6x33tYV93IuIahVX9cLW/vX+ixtnd2d7ef324EQOLJBKw3JrzWc5fCazJ4wYtvb4m4zWlf00BKIFmBB5IAxuqmZV4JR1QDqtZtSw6Vc6m+owsr9Buld5EFTtBFOReK4EMSdHDEQcpj8QEPYPXfDJ9TcFrYg0dWPNVBjVfXavfDrcdn07bzcd3AW2aHw0f+scX32MlHUZC5/e3WeoQbqgKFGd+cT5wJv3xxAfzJNs8hjX/JppuOk9Y879FMct7SCebvGbV6RffITt0qa85/3e6PJKzEpBYc85Ho18PV+gUSHG41X/YXe8JJPWm5ouj/sEGgLQIOMWT3cCanZ6a1tDASft0EGwgbGHsDa5oKOIY7gPW7PaFe/qrx7qv1090YPHdP+oOReEgCAGHqsMD3m7b1DS40FB1bCQW6QxH42MOn/twMBCo9vaEG7r3eMaD0Z54DN6F4FHInmgY6Iq2h7DyDWoRnKrN2eDq8nbGPJ4xX7vfO3ESa8/DdrtzDERldcdE+4Ar2OHxxBrDPY0eGHz3TTiD7sN+VxT8rAnwdXAg6rNP24b7o/6+sQ5PdxD047jn5ABciNaHou2+hvFYw8lYjVEHn0mmlDPi7pqsD9hH4u134yP2ZGLS74/U9HqBNW1BVzQ+TYbzJnhPAq85OkD+Nf2HB6L99baa+pAfYHpPd31rqKm1oTrU09o9DQMrMLeDjob+Jm/DcGCNMxINN3YP11dHhmuGY8Cu0YnhXkLxgYDTEezs7o5Eo/2xZLK5N9QOTnbC1RT3THe3Dvh9vZ6OMagGhBpGGv2jrR3JaTJPX1hSeM0Dh8qWzA6dpkLBa+5r4dyPOl+LeXsl78FqybhBWYYoOdQdvZpq0hbEO0svM8N7/N1W8r8cD91AYYOKCsBrfnNvskPPeU1gTfCaQ0Z8TZzb9dLGjbtSga9Ov3jy4RcPH/7jlb98c/Nm2f6qitoNGzaUVNXW8dVzZiaUhsBiWPPvC2gN/d8RHpN/DP8Dpb+rpSx/NCG5bPKa8Hkk/Wsu7Ctets4dCUisOeezIBfjCMRtHzkZ6gr7nDZbSp8cjndFBztPBk/63AOjnWMT3mhrLOHzAiHafFF30Ol0JuHbKNTrTPSH/BEHlp4Pe/tPjo8kmhNjrdGugVEYhCfttulqr39y2Ga3dzb1hBvRWxwMaF89sCZ8HgV8UE+8GMRfa7TH1cAWsU3O4chAU4g0MNEL1CNNyUC1G2vJvmCws9Eb9Z9sxeK0ze5MDgfBpcbqo6Pe1sjJYGt/CCTgeH/TYGQPtEGbBprae5vJuL4xGoJVvc3jboIywMWLwVZ3U7g6FhzwBhPjWBX3uxsBgRHUhxy965POetdA43VjwNMZvnvxeGoo0d9+ODjc4G3qHKkJuqOtCDVkDthSZpsHa+je+MXqoM8Fp+79zkR19HC4vzPY2dofHh3s7AxFG2oQ1RIm6ANuT2//XZfDaV+TjIFJHbc5hz17xquhTtB0uMETaW8nd1K2tYkRW82E33/RA2Ts8foHJ2xjrq7WEXtvX5O/1dfZ2RkPRaORPY3thy8Og4NeDNbcCdugF2EblF9YhxiVmnlVnWAXm1FAJp+CDTJuEM3t9A+JbQUaSMuXtUgXeY5X0hnKYTWrlkWnfM/aZWSpYeaf0puonHFUVMs9E2NaDPRERInySLwF/zmlbLF7gnjoBsZrFuyobbkEXlM/RMTm0For8ZpW6xBzwrtx+/adu8y2R7f/33vfw9/m14hc+c3l/e/tfrR7Q9XN/YWF+IRZDOSkk4+CD+iXtnn3/wZ0+W//o7wh5/+O0t+y+sHXjAAXySKvuQm8JrNDByCXduhzztuyMoclILHmnA8HcYOANdfXRADlOkemkib4frzed5ebqYSjWIyub/CGOzsIa54MNDf2uGDhctw6fLI9NOF0QOkxAksgMJkDfhhQdzs7WqN3R0dH0Qi/2Kth0p0I2Jp9A1gYZ9Yy/nbodMIkvTNh8w30REENghyEbuUYfFSSV8rm+oGevuru7gafvwdGQs0B58XQ3cOw6Yblkd/vrfcNuDttQ0Z9IhKORnqD/qYBWAp5w2FYg9dPDHbFPbBD7+oaaPL7xp3w3d4XdVfDkj3hahr1s+tD+RFYczQU7PaMx93+aNQPbU5nygSEvR4Ol9yjwHfTNSe9TdVTVn3zILRRa+q9o52OAPxr9tcEjPCiCS/3ieDhcF/vSCIxAnP1qLt3PIiV/3ZmDeQf6O+Mt0cjNVMBuzUWj7rHeuNNfU57Um+OeUPusWEyqocZOrzA+xsm4u0gh6ft03D+aU/U+9tPDk/BeZK7vW8MWLMp3m2PuJtGYWPk9cLEqT3S3RgKR5zH4SFqzkf5mEpVX/P2kvGaxPMwuCnjoXNkwoGBBh4I8MIn/3RJ5PhpCpxg54mW7AgrsGqlyI8yAKJkcWBGEu2V6nnbzTjtOSxmSEpboDwrYzOL11yAvqaB6Wu+MLTl1VdfXbt2u34jsOYaAlN6/caN21MB+HZ/9NUb7/7j4dEHD9+EB6Q39n+FaEKnThVv2JDPrssfihjOL+8LzrPolP+JOOUFeW1Ecv79foFgOZWb+uVenqwFxpZNXlP613zMl7k8lOsSkFhzzidkBdaE+/JI3+H2fk9SvwbfedOx/q6BsHuwD2barnhkvNfb3tnd3OkdAKPZ2OMmP+xTI9XhUG+zA5YrEVsiFmyFkVAUlKejo3WgC/Ax3OdxmoaqYfbTHAg0d2KpGVbog4ODrkGYp8NEB5qfvp4BP0UVd3ldjREP+UM3mdY6GwaiWH8GudfY3uQ+ucdpA8dIzQbpf+t4a4+304lYQomGULS64aIfEHJycBJ22oPB2Njk3caRKXijH3C3t7uDw9CuHDzsrka4R6cLmHRwcrAPvbQ2eKpHQ53XE7ZxGMu3R6PReCyA9XuEJgKv2dQ6Ekg6q6GiadetTQy2hxuaI97Riw57NbBmAj0iGpLODqwZigOXJ6emu33R9mADVC0HvNQ9LhCsbgxj6R12/bpYY9Q70QCsCTeZSXvMHXb1jrW62/1hd58rNBDt7Y37wxEHxclsBm6N+NuDw9bjzm53eHDCOTE42hizV3ubBmCDPogH4Rqc6O4Phett8GqP4PMLS8Caktd8OgAl/Ws+GepYqa3wdqSHTq+KKCmvDYf6mbzmAvQ1C3YUMqypt25Z++raIcDLjXrdkJVcBhPY3Jkyn0MsoXOmR8O9J1vjX1x8809/2XP58u3bZafe24BI6QCbyjieeJdXcP8/gS/hYfN8Qd7/Iaj5b/+9Dne1JAndZpHXzLdgDV3qay7sO162zhkJSKw556NgX3XOmAv23701U2D3jEazJ97UHu8e9iTg7jxmax73RqFA2Im15Joanz/carfDvXswjLhBjsn29npnwjHsTHRXu7p63L1jcX80Uh8f8EcA2qphQe6cNtuC0ahrfAShiTzj4w4bND9Hg1OB1p7oZGwYy+4jkfoaIDidnvxrIniOrzvgDEztae0ZcI/ZiKecjDlGujs8ezye7vhoe2MNYgQNE9Ycg4ZjY71nZMTTHZtw2Lonu1y9NtihT3a3ensGPTU26GuGqofszoRrNOSD+qlj2DMecwTqsYY+HAgk9nTEGi56oTlQk9LDIMoEk3dwic12GAI1+WpMuoQLOpIJuNYEMoZpeSM8M9HKOIIswb9ma2INRGX1+Aai8V7cKHQyR0b2jI13jEzA01K1YxoaqBP90Fetx9J+YtoYMHeHwq76k+F2r68exviDAwO9HcFwuHpPIJUy9wZ7x+tx63vW6gMdsG6qd/ZO9sQ74IVq1Ds+4sCdd481JEb6wv7qBNRG7YvwecT9ay4dr0nUC+c1ZTx0tuJKWCVj2VOAFz7dp0six1qzU8V5oqUop7vj56CeV/GGrJi5KIJhdgAAIABJREFUoXaalFHQ1Mssg5aqGLRiUx8PMoxfXKS+psJrWrds2TK03bodOppGE+L3sjC+cLO5azu8u58zg9386k+dfd8fvfjbz75743LZ7ctltbUbCumjxR+lGM4v7wsKuAP3f/m3v/0vMZx//+/71MUvn7iYFtnmNV88+fnOnRsRWm2N9OU+58QtK3NXAhJrzvls4MLdbvT42uE4vAYezcHw6YyJzh5/fyzhDIwEGxtjw2Mh4L8aXwhk33QwHJ20me3NDf3RdhifD4bD9cPVnUEyTT9JgGui1e9v6GiABXfEaasOhfua7dN2QDH3RALuKGONg/XD4DWbgkn0NOCGg6VpZ3dj43gNOTwymRGrPOr3eRBHEq7WvXC1GWuuH+xy12MtPdHb2Fo9XO1td3fbUoHx/sOHT3piCOYDy+2As761r8GJuEF9E7aTXn+/c6IRztY9Nluf31tNwTEx2NaE0+aMVfd3djgjPd7gnuu+YGS4ucbTCvSasOK+bWbbhKvH5wkMEdbsdKasxGtGHLBhCg47wWvGA4h0FAAkbnYEETdomNQ3nbAy93d6xkOwqYe8EpHWwYZuOHWKxxBKqCboPTzpnOjv8vbWmE2Ok9Fwf0PngH9wzOG0QQu0ZywxFgKrakraa+KuznrA7M4Ok9XW7Y26ep29ZBtkj8V72uHnHdjeF7/oAa8JlYUUbOYXgTW5HbqMh67iiQVmJK+5GAiycs7B65AeLL0boqS8JwymE8xUlUXot9UT6GvWkb5mecEOw/5LW6GvqR/asgVG6Fg230lRdOHYF0m/Sw+kSUDz3Dlz4I2Ot7/2HX1w9J0D331z+/JtMhPivCYCCSmjeYIdxl9k+a+/A2TyBHqT3dMTnLrwJpBO9njNPMMphdckJkRizTknblmZuxKQWHPOZ6NDvHNbvbdnwNfgGfHsuR7zDMMxpt8PvUbHSD3i+jR09Hr9QU8CRjetCVvD5EBoYgR+2L2j/uCwA14vGzxxtzcYGx6uhz4ieM1weCKRaGwfiHsS1e5QX419KtkA/+Sd4/Bb1NmOngDluuIOZ8NgNHxxfNgxftELt+zTAJspY6oGcYN8niRMyKdhfYT1+mGgrXA8lkh0+w57fQlPa7g9OD6CaOxNA9XDDtdhrLg7HJ5Gb3swEevDqrMN/o4ap6DO6Q/VJ5yN7e7qJOzsySA8BnowOOkf7K6J9MCZUsTtbpwYTox0wjq8maK1B8zO3sEB3/BxK2HNoM2qryEacTgCrOmoqXYdnvQ4bTV2QGJnIojlf7LTv94LB5vgPvf0tUdbxxyOcZjwnHR43KPuTkS7bOjzt7cmoZAQbW0YqYn0IfznhA9YMwYiGKqmPb02hxt+kBI1ngZve7y+vj3c6bHrbHBnCqw57moabGgerh6I9jXAoVS119sai0Ffs942pIeO7ZzPcv5K1Q79dkVxYSFsg9JTqZhSn2KvTL8aXlPaoYt5ncSqpLSEqSJdEjlWSQfEYTWrNE/vlLPVluo1WI1mo7k81c7bTnPKc5rNkJS2oD4eZGbxmk+gr1kHO3SGNbm+JlkE0Qr69p07CUkBarKF9O2IXxswm3ftMgcC51Kf7jnQ2v+Hnx4e+Oz0N5dv3twPJ5uGvDzAuSLlyYtBPW5PD9Jw/n8F1KSQQZQed8rij2WR14SQmb6m5DXn/0KXR3JZAhJrzvl0rMak2dPY1dVEroZghOMNuXwjHY2Ii97va4QzzVaPA+vVFz3wUXTX31jfG/H6w4PxvtBAU7g34RkE0eapdg94YRHjiob7OrrjFA/d3jvYFOocjrjbBxOmVNJR7Y76XfH4ZNQPVhKugLqifb2xCConW2Gh45/0BEDV6Y3Gtc3Amp3d4FaTQwFHf7Rp0jNc745GB+Ow+B51NTgT8OzuR4CecM9dYM1E0NUU7vM1uuCEsn5kvI/HqGyPI7xQMDTa3wBe0x2Bn6LpWCt8uffF416K8gNf7uFOxzjgoSvu6w9BLdRmtJtwyZqIu8cHX0dQFxjtdOqSzPIpAQYSPo/qB5sGJiOI9ANEnEwEo9znUSjsH/DHnTZHxNUTdnX2I6yPayJA/uRDuBp0WPsnhoA1m/yTcbj49LfCt2cI7pc6EQAz2tRTDQOp0IC3ES7gEQUJGgFgUXVTtm5XaLA+4YHOrDsY63bBnKnR52qHPyrHnkaI24bpKZXT+prHZNwggerY7C4mcDbTq9N9uqTkqBk/j+eUIirVchosqN3wqnkBBOtRDEDpKl2UubQEMiRF4hWHKI/EBD2D13wifc26bRxrcn3NF4A11+qBNGF6zpbPsYpOSpu61DnTOSMW0nftSunOfWpzvhH7urUfNumENq+UIXoQBrBQXhOr6P9Jipos/f0/1TeJ31E2t2xwgLblwIklha8cO3antKLEgCIB5HkvlEESK5Qx25HPI6mvOeeELStzXwISa875jPAlZ+9G5PGov50lCoG4p2YijkCQFHYyPo7V60E3iEc48Am7qruHgfq8LrfbHSJ+Lu5yTSRicYo1iarGeudw0O0enkomTobcPk9Dn6sV6oVWOKSkcJTobjLonApMNAJ5VnezSkS7DKEyaTWbYJ0DfU2v+6QH/j7xgz8J756DE4kRhH8k3+5ed3AESpbVfawn2MxEHLaRIKopPnpfvae5uzXs67DX97k67QEszIf7I85Wd3+v0WwyNo/1wZoboS3d8Yl/OiOhweqEI0IdUZBKYNskoqTrrbaG/vDFkWlzTXV/KGJLGhM+l3vCNtEfanAGujtB9QY95MrdasX6vp/JC9AcxkYwZcJtU/eh8GDQMb22u9PlJRm5+nsTJk+nv52CTHq98Qm7LdaKGJuufhhKhRB5fmoMsUARoxL4vtvT4HLVIwimzRMfjI/ZnEEAUN94AmNhPUOcgUTnJAa0hqLXz/ks569cBjt0onzY3CHjoXNkQlglY3YX4IWq01Amo5afIQ5zfKOgnIwdCrx7tSM6Z46ktuLH+KXnaCerMiSlLVCelbGZxWuyeOgW1FvKYbyDwzvy8w35beAh83agEhAxv6ICpj0Ww46Sm3sRN2jX75NnhhA0iJQzSVuTVtEJayKchjm1fTt+yeo3Wo8f//3vj9v2vPiOr/Xhw6/PHtp7uaWtpARBhCyGdUjqw1IGVlBeDoxnwIUz/lB1/v8hmPlvbAsjoTYyaNc24h1kY5tFXpOkCZ9Hn5P5lNTXnP9LXR7JVQlIrDnnk4ET84AnEu8bHOwjO2r8a613TE95qvsBw1xBz9q1zRPV1ePNUzW9jYP99Y4zI5E+l3vQF7lY3W1zQlXTMe2MnewHguqr9kyfcY51AjkmtwwHfcGR8c5gr9MEeDbtaIhTQPB4QyIJW52Jxr7+6pFXHfVxwNnBzl4HvntTDF9CL9E30aw3wd2ldWikPu6D8yBnQyvgpCve65iyT081xzrj/a0+qIBWJ6Zedfb6YKPt7Ry3TU0NV6N7DLyzIZmcxoHOemd9Z3WHCZ2tDXiCGLW3D3B1KDHRGelGUKExHwDsoK96ZHqNHlbjVqvdU93a4ICZOfxfeszWaWdDEACv+yRiwgfgzKm/j2FNjCwQa+0fnIRde388OJaw25NrXk2M+yYBe+MNcG9ktTsicSBNtLcfDyTG4sFI46QbJdvQNKJs9gFe+iLdQYS8HAqMRADXXX2RYSe42GBDAoh3pPriyZG1az2d/f0XO+C2vrUPDyIe8Uwnnb3BTk9AD79Lcz7Kx1SqduhLr68p46HT1E3/kNhWTOUqRODQJV3kOXYaO4Pn0lm1LDrle9ZNRlZcKb1nY9AU01mZy5RAhqToiYjDlEfKlD2V6LdVwdmtx66VEJisNBQUWSz5paUbamtbbu6vRaaypaXSUlxRW7ytrqKk9FTZ3quTHb8/Mz09ldyyZucuYE0CmWoyw8nvdji6SOl3/p7S8eN2R+yd+OT3V9989/TlsvNtJfRXDB2Ywvv37wNelhcS8FzHCxaohc5Mxf/n7wQ1//f85v/maPPfz2c0yV+wbTuTxFwbyCN7+poyHvpjvsrlodyXgMSacz4jLOmkAglYcnd34H83/nsSgEuBRMf4RG9s2Gachh03fJFjByPuGvuQzYEjsZGEZw8iAu1B46FpZ8IT6x3rdoALtDtHPNMwMLLB6juQ6PbUTBtToClxcmwMZzntW/QAgp4YzMGHnMOxWKx3HF3Qr3qjHj9iTc5Yt3OKYU2jCcPyJKaP2xLD3RP1aBaYTpIdEvQk9zTE29vHbEB1zZ7x3obekWZnYDrgGE/AFXrCk4C+53QNhjbl6MCYUjAXT9kc3bHxcYzpuNXuHMb9JKecnrGJsY6RBGJj6vVGoFsdbjoRAPZ2OvbgNBj3jIw7zzj3xJzHj0/ZRmITIzYodpI/0uaRDoiKEgnLCLfMZudIrLc35nFODVn1Q2YMa2Kiexhu4o3m5pgn0T023j0SmEqRs8/u3onujmHIwDltnSZp9o7FEoGAPeAZaZ6GA89AYng4YE3WdMfQ3Zmp5m5IDi1sZgx52GObgs38QmnN9aq+5s3l8q+JeRhuWsR8vRr2YLVk3KC5cMbqqKNXVE3agnh32ctMLfhBshXDS05xg+oKN5RYALUIa+4ura2qIj9FtbVYQ7ZYyi1Vtdu21VlKSmtvfnORsOaZ6TNAmzuxWL5Lb02lGODEHt+BRmMSMdygIpP8/RDA5kvH7c2fv1398PujD988+5dLl8+XbDqP2JUAlTt27Cgur6ssB8xkiYAnBjHz77+Z9fn/2QafSYXcSOjfT2kbYfxZ+4Rmm9eU8dDnnK5l5UqQgMSacz4lPawgrbpkMrl27ZYtyeRQcgqrOHr9S0ND0wH79BZaXbaCJ0S89KRxGkAqaZ9aO21PJl+1B5JJe8C+do1+CGcPbcGWvizXTCGguj2VhL/3tdO26SFYlyOuI7wWD00dT64dGsK6kVW/FlwgIG4gYByahhk8HEaCfURQcgzEFlgDPEdOiNDZdNI6lAwk16yxO83J44iX093ohpHPsOckIqF7zHpdcu00epkemnIGjFvsTrvRlLROm6xmuy45NWW04jKAmohibsWNDeFfkjzaDQ1NTSf1uuOmaYwRw8bCOAYI5yO4DxSMJusQujHq1gJF201TdtvUkE6/BneDYRnpblJT1NeWtWuH4IMdmp46o3EINdNTx4dAkcIWCdcyTpmS02YTpDsFKQSAbY/DWb19eg1OMoOgXRuAA1JqenzKbsYw7dNJ8/Ra2CgZ9Wtx33qKuzRts6eM04DYuMnkEB7ES1N28nm/cGfuKq8p46GreGKBGWmHnj1gkos9KSCSD43eDTFI5T2Zi9cE2rxzbOsr4DULLUUF5UXl5fmlxRVVVdsebcC2wpCfX1TeVlWxrbCO1tCJ1+zWIWrQ1PS0EQvohDWNRgVr4gcxGUfiO05nMvLvKutLL+2yNQ83PDx69Iur/7j2l2/On3+vykJocxsS+qwjjEkJepnlCE+UmTZUkarmv58nIrRwWx0r/cvftG1yl9eU8dDnnKxl5cqQgMSacz4n8nkEqo6U02EeE7DjdzWQF/nhwE9suHkHmLKabU6bifSJcAT+iPQ6/PY2maaNNrCJsJ9E4EZY9qAHACWcnDKb6PsTjjyg26jX23FwPesfJbTFJRj8M5oD5qE1VrsZbahHcHWAeaSqiTNwYQQex8CA3Owwuj5Op6Hqer8/2tgab/Q2hePOLXqQoUmMY0hvtJl14BZxIvoh8pGurAMu0xvtZnRKA0JP1CHuAXAXMYpMJsrDryZTmIIc2F3giBEDwg7qo0DWtqRuiNDq+vU6Y5KwJq3v4+7ZPerXgIgwg4oMwBk8I2fhNSrgtFEUJIKEOkgPcDIF2yNSEsANmbavt1Jz0/ppWJ3C+B1jWGPFMG0Bc9K63c48tZNCJnQIrEbgaKpH/Exzkq6JKwPr6hC7fc5nOX+lqq+5dLwm5l1FXxO2QdIOPU1/qXSZAC9p1JKuoRzDNxmLtaKlgnzSOwUI0SnaLCtnbJR+RZ06FlEh90ICGZLSFijPyqKS7zW8ZiF4TTKCKS8qys8vrKjar6Q26FcaDHUCa0Jf0/XdcRCbSPjN+siMRXRVXxMOePG1gy9CfO0Z8eMeyWjd+MLOFIIJvXvy+1sXrv7rW7+7/PPPtXV1FZX7WyorC0t3FzOgybGmwTCT1SykAOj/8n/ew+jwV1hY9XcU/16nITZzl9eU8dDn/y6XR3JeAhJrzvmIOG4CtMEvbCAvQlgs0eoOqvAfTJ+Z0WnESALsgKXUYWkYoXBQzUEckZ/0RQnfxMigHZbEiU0kjg+mOahC32T7Q1cz0vcrcBipwVMDXAU1OJ2qqD92NTtYS3aAtkkCoWArjY6GftggUTTI+Bi5H8I3sxmnoBcgQMBKIwaGSiBJIEwgTtTZwC1S9+idY05k2cUAhmkgGDMDjgCouDUctKYACXGM7lpvZmQmrbBDENQLCYFwJPAyBoYbwmI7LoV7pEO4UIqoT0WIOAkCpLOYGQBgLORAMBeNaANnzpAIJMzkgHbAvyQF9IZ26JZSyso1DLC8bjbiWujbCOi7oLSMvKaMh64AEwIxCoCkGi3MyywpaIdXUjPlsJpVy7wP9WzKKN3y7Oyt0ps4wE4QBbnXSiBDUvRIxEHKI2XKnkr028qg6GuWlOQBatKyekVtLa2ib3ivtq4KtkFIWPSG7Q7xmrAN0g2dmZo6MwSz83PnduHrBr/xsRyE75AAGE18sukndmroVcQkMybxLYA46SnTV6f/+I+HD794+PGL331TVtZSVlUF9+7btlVpeE268oxUTrTm/y0Wtfnr/gflf/kvUcY+Z3lNGQ99Qd/usnGOSUBizTkfCL7sdMwsh2MprGMzvEXIiSAcR4H0nYhEuJP4SoJtjOQkRMYQFvGgdCIxitgBFoLQAzgDXgMrSWeiVsBYZNGSmuMK6EmBZjrF+8d6HZBdyhag4xgGX2An7AUi1BwY98Gi293X2g3NS+A6+mYGOgWPSSANfZoZO6kj7pBqwbliABgB0C3vUNkpvUNJlOApIxIxGD4oG9auMWYQncC9IH0JalphKE/noC+2hk0AnGFT1hFtiJtFO/zH5fg1qUDoG6QoQUYUCabSQZMNNAYdVhAyzOAJcaIG2BoihTyBWek4OgNTTKMHJ2wmtErCm/NZzl+5DLwm6WdyO/RjW9+v5Ca76nwt5u2VvJf6mgxzrdYNvZpq0hbEO8teZmrBD2p4TdLXNORjCb0ACpoVhcUbajeUPtq9e0MFIU1gzeJ1MJzZUdKy995kx0tDYCynXrUCRO7auZ1+2QJq4hcl/bCltRy4fsPX1pa1Vmjl4MO/EXqdxnPmc5ff7fzp1tF7n5z93d5vbu7f9mj3o8Kqlip85IjaLMKgDJvYp48+geKPtDX/Awbxyp+hjbDm/6wTZXxgxa09/R4jkPHQ5//+lUeeKwlIrDnn46ZFWYKQQD6EOYFsABhJC5GgGyg4yhImxBcgABwW1KkpICXUFAkZAZDRijfV0c9z1gfywGHAVlRLsIgYP2pCjfC1SoAVvCiuCDilY4v37AgbBh+LDkv1hA6tRlwfV7ZSzHYz2EHYdZMFEwyFpggEGvFdjT1GCWRpJDSLhXN8WYMTJPSJxKEd3RYlDAwjw+0QdckqWSNwlEwEaGEFQsYx9IRrE4UL3QIaPHUEOeBuFKxJSJx4XFCakBIJkW6SuFNgRYY1sSqPMOu4Y1qAByWJS/O7x4MwOe2kMUDKn+BdTTYboXcjhoYT0A2upgMZigJdFaMB10qV7BANaM5nOX8lsCaPG7T0+pqS12RYRNBgCjbh+AQFljJLGZV0nnJYzapl0Snfs3YZWWqY+af0JipnHBXVcs/EmBYDPRJRojxSpuypxBjCO1eZvmaJAYZBAHWVlaeKdxc/Kn6vtmp/1QZkSyotFDcIWNOy/9JV8JrHoa55JplE7PNzu9hyBn3C8WWLH5dQTwLWpI85sCZ9fa6HI87tpq/g4T3w1Tff/aPzp+8fvvn2octlp/bvL6uqfVScRz/weKR0lsncMGipVgFiUsV/8lNYNczos5Ugjyzaoct46PN/lcsjuS8BiTXnfEZWhsrwdQdIAyqScBVBQGDKFHAgywJBEvdIDCQhRCSchFUfYEzwdQy80dkclFF/hMIYeiNcBsxEZCfBTdJ5ZJej9Xni59DQCiaVsChfP6f1axRodRkm3FjSBkAj7IUuodvIoJYRpjbTMJfBEIDWcCLDa0BxgGUAfujXGDCmiHal/vFFDhDMvrbpakB3uBMGeY0EG+kgeiVQzdhEBOikdfgUluaBVbESj/NTkAVwH9QA2EHcPQOkNChMEHQjuEFa6qYZA4nfCQ4DcBNgpIVySEzHUD3hRAjECgVTGg/GbsUljPYABJnSEZIHu0pn0cDJ6Ag1NO2Q5icgK8kZwHahtGbaDr1syezQafYiyoR8HkleE3MvYRWxZVO6AC9UnYYyGbX8DHFYxTdK8/SOdc770WbpxMzEB6HWKaeoZZlRJZAhKW1BPCAmaGrOD2p4TaavWW4pys+ztOwv2f0IMPMU/mMhfXfxhjZLeSGAGGJUUtyg784dn4Zx0JmhFMAmUZr4iYpvDbbH8gW+U9jnHV9rQ/zHsn6jMXAO/pHOnXvkePskrITuvQnv7rdvl5VVnaqFFqYyfgJ6YqBiT7zm34rU6oL/Jqz5f9IVeBlE06ffZ53X/FrGQ59zwpaVuS8BiTXnfEbKYjYgDdQfySqH5QjVGeHvjX5aY1HXSMpEzGKFKoB4cCRltpF6I8M/RA5SB5SgIGmCxQuAFBoS7YfFZljOKMwha0goFomgHsuQSiYvpUywhQFNyBQnqRs+PEBegqzAtqAyTbAVT5ptARoisasmI0Ew1h0hSUBFGDIBa6JrwLIULT0D0YEZtaNvAF7eJz+H4CRBQdwNMz4ym8ywFcKF7NjhfCeWsYEMqRkwKuFdI11KR7QtZbQJ/C1dFgmML44yvEuULPAlawyKlx0FF2zUoSWt+rP2NL1g6Yz3SJAUQkOBsCzVMSEBjhrRDlQnbmMxWHPnrjcOvHjoZm1+YR1iVGYTdCggkwFNkCxvybhBbBbnsETBJjSZp1NmSannldRMOaxm1TLvQz2bMkq3PDt7q/QmDrATREHutRLIkBQ9EnGQ8kiZsqdShr4meE3Djh3AmsW7T12+/E3ZV6dOEdjcVlJHWJN4zaJKxEP/7lwyCdOgoSHrLop/Tt8iZLNIKx7KVwHjNRn+pJ/GKSs5fTdTPKHt282JiYd9D1rfOXDom8tlZTcvl8FNPH7d5WMshDUz07p1fwe0/LtKXeato2iV/6aW0Vp5dzLPW1wJXWWP18wziLhB9H0p46HPOXHLytyVgMSacz4bIBlAHqAb+lhjyZaYRwBExs6BjcMXIGhCRjTSci6zTwG1BiiEdXT6dgTW5LCNsBHOI2iGf2msSYvxaMhAJiEncIjU03rSd6QMoBguyzEgvlpxZUZVUnfIkaIiDScVsIMAwKWADUG3YgSsT9SRYiM3B6KVb+ocipN0TVQCIcJQiLhEID/cFqE+4kw5tKVr0cVIOZNdDatX+JK3gpqFQGiM0KrESjujNdESl+Xgj9hQGhyBQSJJCRFCDGiJ8wlX4vrY0n1DeCQKBqVZFc0fkA/YWBoMTofPTfiRpwHScZxO//EQGBZFFUAoo2JJZYHwPmNS53yUj6lU9TVvLxmvSWtzKq8p7dAFYiTEoiQBXnhFuiRyaEaH0ofVLKtl9aI7fg7rWJNl5YyNaK9U8r4zWsgCl0CGpLQFLl9ITlTyvYbXZPqahqLyHfmWlqrdj25+cGDfZ99sflRbVQaD9ArBaxa1XLpx6zud7vjUFHym4bvE/FWNM0DLOPS1QwrcZiciNdAXKD719EWJRJntqdQ5fJFt32UKfPX5n958+NNPR995+/Tl2zfLWvZX1ZHWJQd6YqDKft3fgC3/5X9VJ7f/STzn/+W3wZto8zNOZje7kLos8pr4IpFxgx7zZS4P5boEJNac8wmxrzTClwSX2PIwLQgD3BGYQ5Ty9esJLgE+MjRqZKY3MHQhnAXww78VFXKTVBOJjyP2jcAevij5lr4wKRGkoq5wLfjtIe1PNOGID+AM5yjkJ8FPfM8SLmTsIrCWNRDAybgqvnRxlPqm9X6AYWBRsI1AsERp0hWpIxyhtWuClfzKhDXZF7eV1q24qgAGQteH+RIhQ3b72NMwgAPRL3rnhvbUKSFJ3hX6R/c0EaB/DISZ/bBDELCV4CsKDDFi1jDZAHZJb4BXkx4CwWeSJw0dkwkUUQGj+RRDUqO+afC4JdaRskDP86imuyB1hAUlYE3Jaz4dqiJskQ9AbWm59tqNStjwch6XtkzvLXNingkT6Wg6ZZaUel5JzZTDalYt8z7UsymjdMuzs7dKb+IAO0EU5F4rgQxJ0SMRBymPlCl7KgETwb+m0NfMKy/YkV/XAi3KvQe+vPXFmwj1U7a/DCvpGl7zBmJUWuFd8/gZe/NIrKG6ujrS250I0LcQsGYqMX7RA3VzkxXBGZW0fg39gsXPzQD9Zjdaf//IE/E1fn/06m8pTvrNm/sRBZPA5mxes6DoPIHLf/n3/zlPY/2v/0uFf6G8mpR3Ry0/RUYZQhbiobMPVBXFQ9++cSPRGJLXXNBXvWz87CUgseacz0B8qeHrDthOgD2qheqQDrQezFrIoSOtBBPYY1AIQI9Wpwl04ZsQMI1gKkOSxPgxuERfn0bqhulMchsXlHgrEI4M5tFxOp/0QhlSNAWgtIgKQEqsewNZUQsARuUXPlbjUQN7dJxthJU4X+Tmi/3UE76VcTKwHa3B6020yI9RgQwFvsPA2QjpCAFSpUtCivh6N1IzAEAiNZGnLJQ+6XygSapavx5V6JzKSAp2pCwSACwhRwiY+mbwlgZB3TGpQXpkVYVpg4YBpAywC096uAy1BWjwTAJRAAAgAElEQVSlAVJH6ArGTmxZHw1wkJAmyYOQKQ0fV0KjxfvXXDpekyZeBr9kPHTM2Zh7CauILZvFBXjhU3y6JHL8NC2oES3T/fBOebf8KLuOkmWXydiI9krlvO0yTnouCxmS0hYoz8qiku81vObrsEMv3AGVTPCa7+1+77tP2rs++vHhgb/crt39aHdthaKviTX0G7dOn/v0+NSrr04hPq/bHz08EA1PBjsC+vW0uGLujYeqm0lrm7AmrRfhb80avXXKDCZ0LaJTTA0dP/fpo+ZD78S///7h14cIbe6vKsnP27SJsCYfpro1GJiTIwDMf/v73wlnIv1n+SZNs1mnaI6p3TxhXTZ5TVpDR9ygnTtlPPQ552xZmeMSkFhzngcE7IIjhHMIrbECLyNPBtWk+CiQEIeVqAQbicMiKadTYyAifgDnsc44lmRZfhFqTAvC7CRWRacxKAuYCK6PBsLW2TEcasQ7pDEBcjHQR9e2kuqkzg6v5lYj+uJDZowfEBxX/1SsaehyYqTpllTD+qTLsaESgERb5GmERKuyoShVRFnSAVxaSeyibIMh8ptVhks7Ij5ZWyrghqgvSiQidksce1KX/MK8JxRAqjLhMGzJ7gXu6ZW+uDAW4/OI26HLeOiLBVKS11wo/FhZ7fFepAdML4koKS8Mh+lUyQ8WFMB7psEC/5r7Wt4r3lCHcJQGS1vVe49qP7zx0cGuno++ffD1obJHp/ZXFObfh5f3PMKar313zjQ9fcY5DqR5+HDU7x/oGQg1NiTwu3hkT/fJQb+v+3qCrB3x8xcGiuy3shVR1ozWV6cogNjx4+d+nzre7Gl452Hrw4dfv/27b8rO768sKS0tqcRg+MjyaGAsW84DU3KYie3f/+t+QZ6lrc1QajDs3lAJw3nWLBsbSCVL+prs96rl9B/f8Wzk9K7kNdMTjcytCAlIrLkiHpMc5FJIQNHXPHDodgVC1sE2KD2Viin1KfbgM4nTFLwm86/Jyup8/RSd50wf0r9mNkBJzvYhUCQboLYg3l32ItJRfhCQrhLuNO/cOLbvZu3uDZa28iJDW1vFttpHe+99dPA3vznY9dEPD9/e+8ZtONyEC0xgTaavee4cooX19kebmqIhV1+/N9rVdLi/wZRqrg52xt09/SdbG2D8h+Vy2EcGAggVscWKSLgwJrIHbNNnpo4fT52DG3jbyJ/eeXDrwb1//cs3Ry5fqfr55/daKi0Fhjz4jM+HNTzyLFna/kYO3Xn6979hFAUwX2qx7D5l2U1nqLqcT/0hw+Wy5l8TXx0lp188+TlhzfX6NRJrLsWMIPtcQglIrLmEwpVd57YEllFfk3we7WuhFXVmtMAnvVWwlbymAF2rc49XNH1j9L6KkvLuCj5T7KEDuQFEJrDmK/sLi6sq8kpLS/O3lRYXP9p746PfHPzNwYNdXR99e/TAN5f3FxcjVjrxmlt/OH3OPGXrHQTSnLzYG/OMjAcno03RxkTA0+/1+w83Rf2H+2LN8OWh3wX7SorXa7RueXUqiWhD4EPPTB9/6YXfv/DCrnP2rzp632z96cHDj8/+5fLN81WnfkYQIHIcT3Ex80vz81jakVdQcv4//+Nv//u3//ivtnVIqM0vbGupJHP50uKcjBvEeE2pr5nb84kc3WMlILHmY8UjD65mCSyDHToDl8Rmks8jaYeepr84ONGAF4FWBJgRe9aEzqNElWpWlEWnfK90zE9nJ83esG7S1cop6QqZExLIkJS2wOXLngYXHz+IbSmQ3Z0bW1+prKioAsLbkV9SsuG9U7WnOa/5m9/85u5o+w8P3zx0aX8xYvsUtRzZeqvjXMDs8PnvDrgiwwitZrINN7iamrxjNY7gYLinqWvUH2rtsJnI99w5pptum7YHpl5NniFPScCbU7/XJY/rCG0+qnnjxXsPjx59+ObZv3xz+fx7G+jHEC3jWyywRyphP/ZoQ/DzfnlbG6+xWDaUWiqR2jbs3gBnSeLmnnYPKWaX15T6mqt5Plrl9yax5ip/wPL25peAymsuvb6mjBvEsIiAJZiExTwuUE0aMaZrlGZ0SD2sZlmHajXrj53JO9ZkxZXSe6U3UaGORVTIvZBAhqRIppoDvCgqlVJeQX5b244PsIa+v3J/VVtbucWC/f7btd8d++ggFtFZutvV8+Oxt7/Zdr/gvqXlyCe3PjfX2LrdA3dd9YEkrBydtkDAF+2KBveYhzy+6N1fRftiTop8ZrOZAjUBqJknA4k9gS3J46A2h4ZenT6ehK+4T40vvLAR/t13fdX78Nat7x/+493ffXOzApQl1s9paf/IpRaCk3OllpZTu0ssluINLZX5QsOT7udpE97VLOtrnpT6mvN/n8sjOS0BiTVz+vHIwS2lBFR9zZvL4F9TxkNnkJGwShogKlkOYGhmF1AmvWeV7FTlMOtAqeC9sbPSZ1NO6YhlZ2+U08QBGpFMc0ogQ1LaAuVZWVTyPUQJ/cwdH2w99so2BKVEOHRDQV0FfGoqvCYW0QlwHrw7+tGPX+w7dGRHXtulYz98d86eiPibBnyeqWn4ljNNG5PjvsHWWLM50NDvH4hGQ9Uee9JxsrX1ejNF5w14WuPBkenkq8ktW4aGkgQ4jckkzAo3btwJH+9fff7ZP65+8cXDT178y94r+yvq9rfsRyh2xCpSac0ZGUtb7QYyJiouq6zYgDV0fmtPv4VIs8lrMv+a0g59KacE2ffSSUBizaWTrew5xyWg8poyHvqcQOMJKqW+5tMjklzuAa9Aenj0PoiS8m5wmE6V/CAy4DXzzh479sru3buxhA1asbCkthZY85OPiNME1iQTIfzDSvoX++CfaO+xH79LHff4BppC9YFphAuC92J90jky1t1st9uqXV53fyh8scNu7B5sb69OkJs5W2+7v2/cPgTvHgQ1rWvWrGFuOdZv3L4TYBPk5jd/utf6oPXqP15561JLVcvNm1XFj3YXg+GcO8EysAJ49NHu/fsrHxXnrB36KfKvCdsgctIhbYNyfHKRw5spAYk1Z0pElp8bCaj6mkvHaxKBovrXrITRNpI6X4t5eyXvpR26grpW506gSAVKphlg8c6yl5njTDqI6tKSNsu1P/963+7iqisteXjjLVX7yy7f/u4qw5psDZ0hTpgJ/fXbL/Z98OGNC5/v0vcOdg24xuDACKEr4LUXES3MCOeQNEcGWyMJX3+9Y8gYGzw8cHFYbzZbzeOHe7z1dqt+DVy5w+MbYc01sM4Gr4mwlQiTvtNoe+Pdk60Pvr/6/gd791fsv3n5ctn+2or5Um1x8YaKWoDj4qqblRXZ+4BCINnlNaGvKe3Qn5v5aZXdqMSaq+yBytt5cgksK68p46EDi6j01yyCjOMUAi2ZiYMdBcbQITWrwCBlp2IeluHXUbLUIvOPdZOumnE0fUDmMiTFxc+FQnkk8UDFHv41EbTHcvbYFx9funxk76UjSJcufbP39DdvP/wrx5mabVdP+w8Pbhy91ZGarnZ3DTR2Tx1H+DJTgALnrl8/FTAlkyP1McdUrH7EZjLFXAOjwWErsGagd6DJ24BwDjt3IfbuuV3MbS933bsTWJNSylzz+R9P+o4++PPH1/6yd++Hb/1l75Ej3xz55tJc/y/tZfVH4AT+1ClgzWwlSCWb+poyHvqTf7fLljknAYk1c+6RyAEtlwSWgddM+9fcuvV9aYfOIabYsik9jeeomC6JHKvMADVpXMOaK2elz6ac0hHLzt5Q35qUUdDUy6wQMJeEVmzq4xGVfJ9X0HKkpST/gxtfHtt39s6ds9fOXrt29uzZay9+9ub3mVjzV7/6FRbSu0Y/eu2HHzvO2YLeLr/PcyZpMuvszYj/i2QMIMKYbmitNWlzJqcD9jFXz0BwGCF/dc76gVHvBKI7AFTqgSuRAFGRjLqdWERn1Ob2XamvPn/xpx+/fe3BJ/vOvrLvzVc+O/s2hsI2lNH8f3HfK69cexH/P/tm96PCHOY1pX/N5Zob5HWyLgGJNbMuUtnhSpEAsCaPG7Qc+pqS1wSkmwETBU6ZDWVUmCcgDEePqKYuWKVysuhD7NlBBT1S3Vx/Shfi0JxtxMHne58hKRRUUVEeSTxQsQevWbl79463Pn5w4cIDpC+V9ODohfamNKN58O5vfsUVN7v++uOPP353HLxmUzQeCyDwrM4E8x+dOaBDCFsskyPKmG7abEXUXPCaA0EHouTqm6sP97jHU+d27TyXImDJAqAhDC6FNNtuNO/avt1sPgdqc7j3wbcnTpz44cKD7y98j7E8+BIjmuvvKI49+P7BgwtvPspdXjOvQuprrpSpRY5ztgQk1pwtE1nznEhA4TUPHCpbMjv0DH1NyWsqMJEhFg5WVPAi0MpMbKcAmvRhFd+wI6yezqHEz52ZZeWMjWivVPKTM1rIApdAhqS0BS5qSE5U8j3ZipU+Krl09saff/1nJW09duzhw6sPvh3NxJoENrtgIPTlrR86UsfrXV3RePf0mZ1WkymlswJrIjCv2Y5AtWA4U+A5dalx18DhoCOJuLQ1vx3ocf8JGBN2QFg0x4Z4UCUZzbrtu0xms62mO+K78OOPP7x24cGXXzz888Or86d7V6+iwcMHJ64+qqoqVN4jcYuL30OG2dPXhOKrjIf+nMxMq/I2JdZclY9V3tSTSABYc+euNw68eOhmbX5hHWJUZhN0KEZBzDAIeYobVEnIU8YN4sBQzOBpVMfRSrrMcrySHoxyWM2qZf7U1LMpozxInp29VXoTB9gJoiD3WglkSIoeiDhIeaRM2VMJLo8qr1QVv14BgztLeVFlkaWyqurm3tvf3WsX7jWBObGCjjX0po8uIMLPvT98lzpT774b9Y28Clsfinuus6bAbhJ41Jlg86MDcWk1Tbh7ei46ULemJjIweuJP54jXPLd9+85d0NoEAhVpO7LbU+aReoRXP/Hal5+88tmh05dvllWV4Z/4Y5n0ZnPZ5bKyzWXXvj127qv9uaivyQwMoa8p46E/yRe7bJOLEpBYMxefihzTskhA4TX/eOj2kvGaaX1NGQ+dIRPCKipu5GhFC19EPr1XAI0G1Ihsuh/eqQBC1KuCiVh29ka0V47wDmc3kzVMjKoYtGITD0htwQ+C17QgSk8d7M8txaXF9wuK7hetK95W9sbm0/f8AmsynHm3668nXjt27cPL39xzfaffMt7fNOCKnQmc05lBYur19kR9fYcTpCa8ZpKPHwDOMe/AQOfIcWPSWlM90OOdOGcGr2naBfVMHRxsUiK8CSv0XfrUV9+dPOr69tsfb3157P1rhz7ce3P/5uJtMxKr4LXFsFHfXFx27YermzfnqB06GfQTrynt0JdlbpAXyboEJNbMukhlhytFAsvNa8p46DNgoha8ZABQFd4oUIbOUxqrWbUsOuV71i4jSw0z/5TeROWMo6Ja7pkY02KgpyJKlEfKlL0idn6IHStCKt69reLy5r334POI0CbZBP3mN1g9v7D12qV1mzd/c/WH6/88Q/41/fVwcwTTH8KaiYbBvosekJpqWsOwpmfKaBxKBJltkDm1HQvuAJhDx/95Zuj3v08ipc6dswe+Gn7x4Q8nPjrx44Uv/7z1/Wt3Xj5ypbKwuHgbfH0q/+BrszBvnfKXl29A0bDt5rXXbuwvycl46ILXlP411fdBZlaYBCTWXGEPTA43exJYBl6TLZrLeOhp9EFYRcWNVC3ASxq1pGt4Y+UM0ZgVFZSjNtCeTQ2Vbll29kY5TRzIhEiiVu4hgQxJaQuUZ2VRyfe8km/p7KKicktBYS1iVHZw/5ps8fzg3S6GNFvqikvK9t6bjNntiWrEDQomzti+QjBKqz7VMNgzMDhm12DN9TF3DyILvQrv7SOdPT3ecR1QaSq1HZzn8Wmk5JahT+02+85dgdPvfP/jifYT38Im6NdbP9539q0PjxyptMyMGqR56gZ4nDcYShjWrMuHlku2/rKtrynt0LP37S97WmYJSKy5zAKXl8sdCQBrcjt0GQ99scBKxg3KFizJzX4UuMkHRy+JGKbywqQxPj+oVLMdHQPWLDIYttWWYQ39I76G/quDXT3hH45de+vI668X7qi7+c1V1/Xp6TOwMu9yRWqcNrPZbrInOsNdh+PXM3hNtGjyddjt5ldj8aYm78QUTNJhlL5ev/2f08fPJI8fP/7pp2bn8J++br0F6/NvYRP05cOtH4PWfOsSeE14/eRhFUiDmv7UW8EtGfKxRK3wmjiSrQQJZMm/Jhux9K+ZO3OHHMmCJSCx5oJFJk9YLRJQeM0Dh25XIEodbIPSU6mYUp9ij+mBJjcRN0jGQyfpsglebBVEImRMRZFP71klO1U5TL0olUpvYqecrRymLuZJMw7N226e05+j6gxJaQuUZ2VRyfe8km9JTHnAmhZLfvG2R6SvyVPX4R/e2XOkZfPrm1+35Ne17AXW/Of0GYfP/6sBV0PCbHM6bY4G4EpvJIFgQOnU3TfQFB9PJJx2GK3DlztQJzxqIk6l3kph0T+1B8znzHu+/v5EmJDmhQdfPNz6ycf7sIJ+6dKRlkpLG8VDF0ATe81TRD3xmleuXbjRsjlHeU18k0h9zfTLIHMrTgISa664RyYHnC0JAGsulx16AdmhS33NGTBR4BQ+7WeWFCjAK+k85bCaVcuiU74XGIjOpyZz/c04NGebuc57/uoyJKUVKeWRMmWvPAF+SJEqPG5aSksfbT59rB2R0BGX8sT3Vw98d7MMULOypa300anL91zjgcQZ53hjtGnA29rg2dMdafUOdPkbEwGwlmpaOxz0d7U39jo81aBAB9wTU3B/hGSymz81WnVGs/1cc0f10Vvfhk98++NrP33552Mfv/kKIzWBNMFqWtr4Tz9Sa6Gkfeorgdc0SP+a6rsgMytQAhJrrsCHJoecHQkovOZS2qHTpEZcCvk8el/GQxeIkUBbBiIRFbPRnAJoNKBGZNkRVsg8m3XMO1KuMXMn2iv16lhmtpPlDElpC1y+kJyo5HtRLWrp/bdYincX135476O7d2ER9NrVt/fehoOhzZvrKivbSkuBNSfHbbYzZxL1fQCb7a7GeKOrvWd0YLAhaTJqsOZ654S7qcnf74u7wwMwWm8IJIdgom6FK81PjbrU8cDtjt/y1fMfb104+ud7N8BpfvDW78BpgtQsL8cwlM+iwm1qHq6ir3mFbINyVV+T8ZpSXzM73/yyl2cgAYk1n4HQ5SVzQwIqr7kc+poybhADJjTDq/hQIBI+7WeWFCjAK+kM5bCaVcusO3GYt+NVrI6azfxTehPVs46LA3KfISl6JEIklEfKlL0idnEor6Cc1DXb9sMEvOzQxx8dHD1x4eO3914uq9pcBh9EpcWG+3kV0Nec7DhD6f8b729vunv34F1g0p5Q45gTlj9prLlm7XQi7u+624R/IVdP1B1J2JPMHRJ3dPSC893GEx+1h3/84cJPXz688Q8KO3n2g9+B04Q79YJ8GP+wJfT0Mrp6K7illcVrkp3+0NCWtZTWrFmTG1+mchRSAo+XgMSaj5ePPLqKJaDqa8Lt9JLra8p46AyZEFbhiIUjEs2MTxUCyqT3rDID1Ah8ozRP75SzUSE6YtnZGz4ItT4DIqm1MgMJZEhKWxAPSG3BD4pqpWlReVt5fltlfnFF2Ydvvsb9ad6s2lxbWwt3lsWvQ4Oy8ubpq67v/nkmcOaMLTEejLvC7eGQ19VY3e0MBOBqM/31s+ZMoDs46A2FvIOdkf7GoMd+BvEsjUadznjO/MZ3X7f2/Uh6mrd+Ovrrq5+8vw/h2H936fL5yraicuBLJMKafI2ByNa59DVvXrsl9TXTApc5KYFsSkBizWxKU/a1oiSg8poyHvpigZW0Q9eiq9WXV+AmvzF6ScQtKi+MwP1ir1SLljAMMuywVBUXV+zfe/bjY/v2Yul8f1UVKM1ttduwhl5ZWHn59NUfyQ49QdSmrab3ZDBYXd0wYluz1uy0a3jN9etfRYPu+s7OSMyR6O4eCWwhJU0EPjcHavb88eGPYf8JLJ7/dPThPVgEMU7zyvmfLZYiWP0Qb8mwpjDVo2V09VZwS4zXLOT+NXPaDv1rD3y5k297yWuuqKlGDhZLEHlSClICz6kEVH3NpeM1GYMi9DVlPHRBlBFiUdGKFr6IfHqPZtRWgBnsRZbVsoLojp/FOtZkWTljI9orlbzDjBaywCWQISltgcuXPQ3xPGgvqkXT/PKi0hJLcfGpipZLH758ef/u4m0WUp4sLywubKtssewurfjm3mT3PwloBmyB6SlbzXDCWeOcxvK42WmG78x0GpoOBAIJjwNOOG2BqcBU0qhDNMtUyvzGgaM/MH+a0NN8+Mn7r2D1/IOXL50/f76lBcwpsCYjNjW8JoOcmkes6mvmsB06bkLaoadfBplbcRKQWHPFPTI54GxJYBl5TRkPnaEPAUs0qCQ95Qt8kq5Rmgm0yc4WiIbBGrUBRznsTA53NFleod0qp4mqDIQkKuWeJJAhKW2J8kjigYo9r1UOoYM8GKFb2vJLqmorqspaKjZvyy8H1Qg1TktF4ea6upLdtfDlfquDYc0zZ6anh3YiHjq8tVutOr3RZqIAlWrCOnvgDIyIzgBpnjnz6nGTUbfzXOCNjnrfH5g/zQtwc3QVlObZs2+9fOnI+cqiIhi6E6mZxpqP5TWlf01V1DIjJZB1CUismXWRyg5XigSWgdcUk5vhLRkPnSETDmAUGMPRChVEhcin9wqgEWAGe5FlR1gh8+w00mG5OTaivXKIdzhHO1mVISltgfKsLCr5nlfyLUnPUNkGfU2DZX9J8aPSzfBxCTsdhK20FLXsLyzdXZqfv//S6auT13//z2kobAJsJsnuhYKgG81WndmUooIwABqaPjPlcIL/dABwJmF/nkoZA5//sfXHwx+1kz9NIE0iNcmh5hUATXIjXwCoyXnNHWwH4MmgJ6FPzcPlreBfU9qhr5TvbjnOFScBiTVX3COTA86WBIA1edygpdfXZLym9K85AyYKnMKn/cySAgV4JZ2nHFazall0yvcCA9H51GSuvxmH5mwz13nPX12GpLQipTxSpuyVJyAOQVxwY4m1X/zbVlxczHIFME5HqqgozkPFjqqbe2GH/nsCmkgENdfjDwlhzsl9poI1KUP6mgyRBs68aoQX99Surzq+/snNYwQ9+OLPV2+8v+8acZqXrpDxOczP8Y/zmhgHw5i0UVwezdbXzHFeU/rXzNb3vuznmUhAYs1nInZ50VyQgMJrHjhUtmR26Gz9juY58Jr7pL6mQIwE2pSUxm9UkS6JHKvMADUC3yjN0zvlbFSIjlh29kZzed52dhNZwySQISltQX08opLvRbWoZZ3Qh6CkpIRgHisT5Qjwua6w3FDK4qF3vMQX0YesejJ9SSfoY9IyOpAn9lYGR8+cmTozNW00mmw1nn/13TrhD39768KDL784RhZBCH1+6QgcatIVCorul0MzlGFMdct5TQY5NU9Y0deUduhpycuclECWJSCxZpYFKrtbORIA1pRxgzRT7iKy0g5di65WXx6vRPqm6P0QJeVdEbhf7JVqthNNCd/xhWywnJSI16wjrFlgKN22/xvoa77EYOSrW9bMjTUZ0akfsgNlnhl6FUZENqM+1XHy+2/D4fC3P976/sGvjxGneecQkOYVuG6vLLfcLyi4T9xmmscUy+fz8po5boduyKs6/eI7ZIdOtK+0Q18584wcKZOAxJryRXhuJaDwmksZN0gs2in6moxkUedrdTJewTVYJiWNOEsLdN0qBaRQuCTcVmZCme5ZbNnBtBComC6JHKukA+KwmlWap3fK2WrLmZdnB2jDB6EpqlmZyZRAhqS0BfXxiEq+F9WilvXGFrAZxOOdF21SsGaa19xCYPNVrJRvz+Q1aTFdlzIajSmdLnk8OZScMpnMJrNt5E8nESMIgc/Jn+bDqxQjSEGalXVgM8vvFxSsw2o9PMnzd5GoVQE7lbzmRnEE73DOx0MvOf3Hk58T1lyvXyOx5nM7ba3UG5dYc6U+OTnup5aA5DU18+3ispLX1KKr1ZfHW5G+KXpFREl5XTQ/AdhBpZp21JIlZBjaJIzHa8BsqrxmC+M1SRfzzNBsXpOwphFRKM1w2p4cWqvfYrQH7ICav/0JapphONT8Hv40P34fq+ec06yse/31+0gAmqQYijV0gM30Hw1BlNRbofHlY4i5rq+5CbzmSelf86m/9mUHz0YCEms+G7nLq+aABJaB1xSTm4yHTpM/wAdHICoOSYOXNGqhg+k/fhqdynKsC54VZdGp6IuOKh2w7OyN5vK87ewmsoZJIENS2oJ4QEzQXIj0iES1timqVYDHH6PAmpm85quvrp3Fa8KFph7+j0htU68zWvUpk/2c7fPqoy5wmmR7/uuHNz5BOMqzd976EKvnlXVIr6+jxEYv9DU5vBQwkwNfZSSsnaKvmft26A2S18yBeUMOYVESkFhzUWKTJ60GCQBrcjt0GQ+dTbmL2EheU4uuVl8er0T6puj9ECXlXeGIjSr5QaWaFwScw2H6zYWElWrewqDymlxfcwuIzVdn85pWRKkUCV7bkexffffbo7e+PfEt9DR/+gKL54Q0P3gZipo3WxjSfB1e4texZfT795kVOgFNSto95dVboeGtBF4z34I1dKmvuRpmnufyHiTWfC4fu7xpkoDCax44dLtCxkPXTr0LyGOelvqaGoS1yrICRbLb0hYoz8qiku95Jd9qRAGQmV9SWFhYQjZCVM+xZprXJDv0OXhNYE1YocM0aD0YTROcbhqdHUe9hz+C7TlMzx9u/Qeg5rU7b8HJ0f6KzZtfp7Su0GAgqAmdzfuUp0TQkgCn2LM67fC4vmbu26G/ePLznTulvqacvlaiBCTWXIlPTY45KxIA1lw+O3T4PKqkOS7DibRmvluZWclratHV6svjrUzfFL2ioqS8roLPFHulWrQUrZjPo8INhZl+BAYAACAASURBVCUAm6xpmtfk+ppbzrw6F68JF5vAmlhCx0q6yXSu5vrJo5NwqMlszxEjiIDmnd9dOl9ZQUgTWJNWz19/ve51bh90f93rGnjJ4aYAnHPwmjluh55nOKXwmmSWL22DsjIFyE6WTwISay6frOWVckwCCq+5lHboDFwSp/LW1q3vS/+aHKuILUMiArwItJIu8xwa0aH0YTXLalk9taSknpGRZYcyNqK9UslPzmghC1wCGZLSFrioITlRyfeiWtQqcmSs5gYk8rKJNIvXJDv0OXhNtn6eQjBKvd4YaP68/qEr5D/x7a3vfwKpeQ9I8623gDTPF1leJ6i5+fVi9g8qm3XldeWM5eT+NQWfmd5n/uRT9TVXQDx0yWvm2Cwih/OEEpBY8wkFJZutPgmovObS62vKeOgMfQhICAgiUEka1c3AJ1qwQ+cph9WsWhad8v1swCmulN5rLs96SR+RuUwJZEiKnog4THmkTNkrT0AcUov4rYUVdIY184nZxN+T6WvS8jkWzwE1TTZHw1FXqJ04zVsPHpJB0CvXPnjr0vmi80Vths2b6zixCYC5GVATcFPBmgJecj5T/PSjWvVWcEsrQV8zz0A+j6S+5uqbh56TO5JY8zl50PI2Z0tA1de8uWRxg4SWmIyHriATwioqbuR1Wvgi8uk9a50BagS+SffDOxVAiHpVgATLzt6I9soRFRPNbvm812RISlugPCuLSr7nlXyrkR14TUKalHj8oCfU16RIlbBCN9qbu6tbBykapQue21uvnvzHPpie/+7SkfNgNZEsdRWVm4E2eRJ7WkxnNKoAnGLPIKd2eFxfM/ft0KGvKf1rzv4ilzUrQQISa66EpyTHuCQSUHlNGQ9dM/EuKCv1NbXoavXl8TKkb4reDFFS3hKB+8VeqRYtRSumr4kwlUiFJaRSYqgryV+HHYtReavD+vtXX331zNDQEC2av0SJ9vivQyAh3TnnSK9vst3ffsL1/YMHrYzUPPvuW7/jOLOoaFNd5ebKCiDMYtLZTCeCmml4STkGMpU69VZwSyuB15Tx0JdkEpCdLpcEJNZcLknL6+ScBFR9zaXjNcXkJuOhc/jBuTBly5CIAC8CraTLPIdGdCh9WM2yWlZPLSmpZ2Rk2aGMjWivVPKTM1rIApdAhqS0BS5qSE5U8r2oFrWKHBWYp2A9Xtq0qchSUnqqbO/FWx079da1a9cOkR9N69AWSkNJ60v6nanUro27bKffPPojGQT98NqDL/98DDGCXrnz1sukqMk4TdCaJeV1r9OiObMMKkfu/v3X73PMya4lAGd6P6e+Zu7boUv/mjk3icgBPakEJNZ8UknJdqtOAsvIaxbANmhfC59rVxOOkbymFl2tvjze1fRN0YsrSspLnMb4/KBSzXbUlCcFkvJzeW3RJiRLyc+nyj6/eqtj186N+DC+ZH1Jp7ceP3Pmn/8cGkoajaZzu87Z3vjuXx9e+La9nTy3f/nrrRT3/OxbL1+6dP5KiwI12yyWgnUsUlAeOXFfd7+AzNHFtWnI6ihYhsr8v7gZzmvmuB26jIe+6iag5+uGJNZ8vp63vFuNBJaB15yhr8lW8TDRrZ4/6V9TQTKrc0cvqpq0BfEGs1eZWvCDolo05eU03mMNqU+ONTeVnroNXrN7506CmvoX9MCb09PTx6eBNe02J7DmN7998GO4vf3Ej6/99GuGNKGn+fKlI1fOt7RUtmH5fFNJUYmFO4jXjJQNWYyFjy2NLgXSZI3YBiynjIeu+WKUWSmB7EtAYs3sy1T2uEIkgPmNxw1aen1NyWsy9MHhANumkYCY81kLURB7XimAAmrVrNJcnCX2DPTw6yhZOpL5x7pJV804mj4gcxmSomciREJ5JC5oqkyXWJYdUx4DHRXnsSwOEtYsKjn186nbxGvu3KnfZfwU6XjKePz4P5PHp02fnjtnHv7TOxQjKPwtVs+/+PNWrJ7DcTshzcq2yiJLURHWCQhqgtfkI0hfRIxIOyrNaNh4Na1XhL6mjIe+QuYVOcw5JSCx5pxikZXPgwQUXvPAobIls0NP62vCv2YlSEAkzbyrme5WaK3kNQW0WpV7LWZTAB2/T/HmqpW8pagW5/GywKTsVI42CWuWMKx5+uJkx84XdqbOEdb89FNjcsvQ0HG73R5wDv/26I8nwgh8/tqDXx+78QlfPT9yBIwmgCbiT5IfIySLEvhSYEnxIMRYBNDV7jNGhHDt+ZzXfO3G/jryNp+tP2DqcnxCyjHIkg2vHDv2QWlFnaGgHDws6ue7CrsvurO0eilK+Gc5LfU1n4d5aZXeo8Saq/TBytv6ZQkAa8q4QWJmXtxe6mtmC5bkZj94K9IDo1dElJTXheM7quQHlWqlJNAf9uI8lsXhok0/b9rUVvKIeM3J7869tOull1h4IL3OmHopZbab7Xt++8AFpPntjxe+/PWfj30CThPL55cutbS0tEFD05CPEOb0xxLrXnsRMSLtqDSjYeNND2ll2KHLeOi//JUuW+SuBCTWzN1nI0e2xBJQeM2ljBsk6AkZN0iZ9TkI0ECB9IzPW6TLPIdaAgkcKLDzRJbVsgKrVor8KAMfShYHZiTRXqmet92M057DYoaktAXKs7Ko5HteybckLpHTiBhZ/EIBr7mh5NSpn7+6DV7zu3P4KMLR0Qt6awqr6OdSn3713ZvxyW+Rfrj14Iur9z5BOMqzH8Ai6AjT0rQUGYA1OczkWJNfK/MBibFoR0F1/GXSjAgUKdPXXAF26F/LeOhLPCnI7pdKAhJrLpVkZb85LwHJa2ZOzosoSV5TIJrVuWfATNwavR/aPCuKSr6nrUjUlCcGL9UzqRYIcdPPJW2nHpEduuu7cxtfeGknuE1d6tNPdZ8+sjV/1/mt/yPoaV548MVDrJ5j+fzOy0RpVhYVFWzKQ0IHFgM0NbGADnaTDSs9OFFWr84ymtEoiFMMaUXYoafjBsl46Dk/tcgBzpaAxJqzZSJrnhMJLAOvSawLW+mT8dAx3yuYg4MCDgQYSkhjA3X2V+v5aQwcKOdxzMC21Jw1EHVKhYAdyjVm7tRW/AA/eWYjWYYEMiSlLVCelUUl3/NKviUBipxGxMjiF8qmkp/zwWu+99Xtz+9NXte/8II+dfzc71/4/blPzV91fA1/mt/Cn+at748Can78rwhGSTGCYHdeRGvnDGsCZfI/fMD4o9Jcg1WIsWhHQXVU5v/5eUC+Ql8z1+Ohy7hBz8nUtBpvU2LN1fhU5T09kQSANbkduoyHLmbdhe4lrykQzercM1Ambo1eDm2eFUUl39NWJGrKE/biPJaFuUxRSf7P750Hr3n7dOdkxwsb9bpzx1M7decCNd8deHjrBOKe37rw0xcPr974hDy3/+7SlfPnLZto2TyfJ4XVBK1Jdax77UXS106jSs1o2MjSQ8p9fU2mm1pF8dC3b9xIwZWGhrbA+/3atWvWrHmi7zrZSErgGUtAYs1n/ADk5Z+dBBRe88Ch2xXFhYV1hnUzZyvNbKSZLJ+wltktpPU1j5EdOqtbeFc5fIa0QxfQalXutZiNvYXiLsWHQK3kLUW1OI+X03gPpzO0SbwmzNDfI17zKmFNnfHT1AsvpWyO8aPkTxOc5oWfHsJx+yuM07x0paWoIENDky2hkwk6WzZgoxJYctYQlY+P+HTz0Whbo5Oct0PHfZaQHfrOnRv16/VrJNZ8dvOGvPKiJCCx5qLEJk9aDRIA1lwuO3SyDZJxgwhnILGtQCUCGXAkkC4pOQ5a6AwFvqhZtSw65XsVWCiniOto9zMOKadoW8g8l0CGpFBQRUV5pEzZK0+AH2JNeRb1aYGycwwlJZt+PnWK8ZrM55FeB13N5uvVrX/49sQJWAR9/9MXxz5+k2IE/Y55OSJzIKagCYYPFujahNV05Vrpi1BOJJHT7imvaZ3z/jWZHo7l9B/f8WzcuFHqa66G2ee5uweJNZ+7Ry5vWEhA4TWX0g6d5kSur3kMWJPlpH9NPs0rUCA941NFuiRyrJIOiMNqVmme3ilnqy0FuGAV2g31rUkZBU29zDKJqmLQik19PKKS70W1tpbEqxExstC8QHhKqGsyfU3YBu164QXdp82f1/v+EPZTNMovv/zi2CfvvwIvR/Dc3gI1TZgE4RxmC0S6lQrY5J+nrPnXzGk7dMZrSn1N8d0t9ytOAhJrrrhHJgecLQmovObS62vKuEEMfXDIwbYClahIJhPXiGoOWugMBb6oWbUsOuV71i4jK66U3iu9iQrlFFGU+7QEMiRFz0QcojxSpuwVsfNDrCnPol6cx7LAjW1tP7/XhiX0Muhr/jD+qf4F8/Bv+78Nt3t/QIygL7+4ihhBr9w5BKQJL0cIRVmwjkUJYr/cFKTJgSYnOJVrpS9COZFETrunvKY14zVzOR46u1mpr5mtb37ZzzOQgMSaz0Do8pK5IQFVX/PmksUNmqGvyfgY7SS34vNSX1NAmlW512I29q6KuxRATa3kLUW1OI+XBSZlJwPmgdcE1vz5vZ/fu112+5uLru9sb8Swen4i3H7C9f2DL38NTnPfK2cPfUhIE1CzvAia1OVF5Qi/kwab6ieL6kTHYnRKOX11Pp50OWNEwr/mlWu5bIcu9TVzY9aQo1ikBCTWXKTg5GkrXwIqrynjoWdM0gsoSDt0jl9W6xavQvrW6L0QJeUd4VwhVfKDSrVS4rUM14nzGNJE2CC41ty9++dTl4E17/0Qc9T/9K2/HaRm309HvzgGkyAl7jmQZmV5eXnBuoL7BDWJ3QPG5DuWVQpsWOnB8YuJsWhGoYyLjUi9FbReMfqaJ6W+5sqfd57TO5BY8zl98PK2169X9TWXjtfkRAzmR/KvKeOhczggtioiSWODNCQROTQisMABA1WqWVbL6lm1UuQN0UhUon5mmnFIOWVmK1nOeFCZBS5f9jS4+LhMRbWQMC+LZ8Ykys4BrwmkeerU+ffKTreGfzr60x8mf/gDDIKOHoU/zfev3Tm0d++RKy115XXl5fcRORypHMQmfZoIbIqkIM+n5zWFf80cjoeO+7achr6mtEOXU9fKlIDEmivzuclRZ0ECy8prwjaoks2RqwrZSF5Ti65WXx4gL31TBPlEifJIWpwpSvwIb8rzDF6qZ9I5RW2Wn9/bf54M0b/7IvzDrb7vjx79ovWL1oeffI3V8w+wen6lpfL1utdfv39/3TqsoBfcJ6jJCc3nltc8Rf41YYcu/Wtm4ctfdrHcEpBYc7klLq+XMxJYBl5T1SqTcYMAGBTMoYUhKnhJoxYBSvien6YFNaIlO8IK1JKSekZGlh3K2Ij2SiU/OaOFLHAJZEhKW+CihuREJd+Lam0tiVcjYnaOoahtU9v5qlM///zV7x5+++AqQp5fvPrw4dWv3/7gzh0oat5sqayrrKt7vRBIk2HNgvL7RZzOxEdKwZxszyrZYDXXUMp8NOmXIV3OGJHQ18x1O3QL+dckrCn9a+bMHCIH8sQSkFjziUUlG642CQBr/v/tvYt/VEW6NpqEJKQTSCfwddKGhOzYBgLCJEQFB/ceE80gY4wbiQizAbmowGQGb2MUHZWLM86IO7iHeAPU7Z5R3OgQdn7f+b5Dzjlzfufg+f6v8751WVXdyYKku1b3ujwr6bWqalW9q+pZ1et9+l1V9Uq/QeUYrwm7piAZzAIEKdCsRNACjxuYmApJ0sIlZEgUFkEvLjmGihpioYpweuFfwal55wvzJzeehxRFPKg4TFs+9jImz3g3TOYyEIoyKZpbnslmMn3HJ86u+fbgG7985uDBg69fPMgzgh48s2u6t3fVDtrS6fTVqzRg8+rVq+xD3bNrMsEUL9BVmqiWqZy8mKmHDOna8VF+vEpFYx56Rtk1sb5m3DRRItoDrpmI24xGLoSAsmuOjHYHNg/dU4qwa0oNz+rdpiGCJRhu4Gl/L90jBhQQiUKAZAsybsQZOao4l1lgk5XwTmgS4iUgoBHIQ8qOSKgJOZ0ojzrZTpU3XEvk20f/LStX3rp1K3OqL3P87HMnv3n+5TXbth1++eVXXvmKFjlaRRtTzdp0KkVMkzd6lU4R+XXSnFPSTX51IITzdexN10XWUdZC11LUwcscCX/oarwm7JoLPcqRFn4EwDXDf49Qw4AQIK5ZVr9BGK8p6YDYGyagVb7mJzoujjY5UOUUv1HZdSl9tFkmpy30R5Lt5LyIfQLhPKT4hmhIOEybvqH6KFPlnrPqkFeOkkTqypXMNldmxuk1+tDJk199NTpKPPO5M2eHmGgy1aytba3dQUM2B2l+kOCaOzTHZHYZgF1z3fSHNDcoUyWZq92SYsPUUrEIPU1qymbS2/bs+aI9lyH6nKoS6T5ipcFWmW2V+VZYdHMYrxmQJoDYMiAArlkGkHGJcCKg7JpB+g1itSi0xiH4QxcsQxIQQ0NsEkK6V1MZcxSJeaRGMhixV3K0OFlKqHArOF+l6/zqjBQ4PxtSxP3wYLBhk/gScjpRHnWyncrwWhCLMvUr2RfQypWZzK3jE91nL126dPI52nadO9W0g4gm/a2qpb8dq2jMJs1Gv8pWzh38VRIfwbz0N4uOJds1o+APnfgq/KGHU5GgVotBAFxzMSghTywRKLddc4zVItk0YrRhHrrNruIXFjRRN4v7rR0WUZ0oj7zXG2eVm6CXXkmR2tLSO05s81b7rVNnz9J89FPTZ3ddOntqKJMeXDWYG2S6KTaimjKwY4c1D118jwTzFL/kpGhTOR33ri4CVm1EzXSF6Bj69TVFM2m8Jvyhx1ITJaJR4JqJuM1o5EIIlMGu6SlFsmvCH7riHMYYRhzAaHwmBCamQyKRT+jTXlBlNwdV2supyYVIsHcs29ryIlY6ggJRDwYbNu/26ER51Ml2KsNrQUxB+hdWzZZs9tatpvFT3aeGJvpOnTo1dmo8UzM42LuKRmzuaN1BfHOQOSfTTjJwDpJhkzaybebZNdnWKapoXUPFZW10r7KPeTWqV+M1Qz0PnZqJeegLPcWRFhEEwDUjcqNQTfcIENeU89DhD93jE0sMwK5ps6v4hak7mEZx39Ax1U8kv+NEeVIlq5hmf3TU5USwvqqFhmveutXSMl5DZDNzqns8QxOF+vqymZr0YI6o5g6mmvkbUU3FMZldSsKpDlK4fRFdI7tWVm1EfU2VpF0zzP7QtV0T62u6VwOQWB4EwDXLgzOuEkIElF1zZPRyrjWdHkzRmtGW/ik1zAYY9aGQHK8ptGSpgkNVHv7QbXoVu7DN2US/0y3UXxQvUebUybqcjPP3ytsk2+SpQVUrUy3MGnmroQ8va5RK0RpHTDJpWU16bU5/tJz7VQ5Jq+Z8uyaXEcKta6i4ubqsj4nn1YguW0XXz4TbHzrbNclvEOahh1CToEqLQABccxEgIUs8ESCuWa556PW05tF2jNeUdEDspd63+YHkAx4nkQFNEuTPAErjEiJRZdel9FGcVGI5baE/JUKfWjCPPpnsYx5SFPGg4jBtEmjGyMREUJxTt4HPGhhV3nm55olgd0HkCV1+OCxleOV1AS1aZzBxLqTrmH/ksjofHSMzXhP+0OOpipLQKnDNJNxltHFBBJRdM8h56Gx0kfPQ4Q9daHtW8FLNMw2gzWj8/JhOF1lEUZVZcQ3BNKQ0IcOU5pASK4Lzd6qYPiFJi47haCGQh5Qd4bCI60R5lIlyz2J0yIKYgj65ODn/pIx7+UXFvPIyq0jTJ0yEQvoqOmQfOWw2b33NEPtDp1ciGK+54GMcidFAAFwzGvcJtQwAAc+uWY7xmvAbJEgCK3ih5g0T0DpfUg0dU0fNPyRRUIVFosquS+mjohiiOKct9CfEmBML5jGnkxzKQ4ox1WBwmDbJ2DjRxERQnJOpIpcuR0k6VebTZRcUoYoqiVKGV15fU4vmzPafqYe+kjlyWStvFOyaqSqsrxmAEoDIciEArlkupHGd0CHgjdecDsxvEA/Q9OyaYyKUspVc5MMYr6kpTSyPzMe8zY5ooiY6MOeQJ3WyzirjgjJqMSTQJ5csZJ+UlNDLL0R45fU1LcE6qDKaq9uiZW2sdunxmuGfh47xmqFTIqjQYhEA11wsUsgXOwQ8uyb8oecp6SVEMA89nxrFLUZdwTSJ+4WOqT4iGRsnypMqWcU0n6OjLieCC+ZaSISghVqKkqGuJU6RIEuwFdY14ivp8vaRw6ZkJOahG7sm/KHHThUloUHgmkm4y2jjggh44zWDs2vmjdeEXVMqeL1nImBp/PyYZgIiC2fTp72gOCPSNbOQZbycmlyIBHun86s033x2mWSG85CyIxJqQk4nyqNOtlMZXgtiVUbnZFxlWInSJ1QiF9VJ4h54cXNtkc4Z8zZTyojikKyNndsbr/nmn8dW1ZC3BVd/tI5oD1n+hY/KJvJR+Up7bjBV30Pz5ind7yr6VYh4IeK9GMF4zQWf4UiMDALgmpG5VaioawTKaNdM8Tx0+EOXCl7stTo39EDyABMXIZkoCYIqpziGyq5L6aPS4F5hTi/8o5N2Ul7EPoFwHlKMqYaEw7TpG6qPMlXuOasOeeUoSafqcyouD/knRWYvSV7bK68LmCrpkMpori5CWg4f5cfLH4XxmlUp8ht0cSuveUTb1NTqZbxVV1e7fixCHhAIAgFwzSBQhcxIIFAGu6ZnloA/dKnhWb2zqteKXwQNN/C0v5fuEQMKyHKyqNgrOVqckaOKc5kFNp1fnfLqskDWhCflIWVHJNSEnE6UR51spzK8FsSqjM7JAMuwEqVPqEQuqpPEzfDi5toinTPmbaaUEcUhWRs7t7e+ZojnoZO1E/PQI6FWUMmFEQDXXBgXpCYAAeKa0m9Q8OM1hV0T62tKBS/2hglogiB5gI6po00OVDnFMVR2XUofFTERxTltoT86aSfnRewTCOchxZhqSDhMm76h+ihT5Z6z6pBXjpJ0qj6n4vKQf1Jk9pLktb3yuoCpkg6pjObqIqTl8FF+vPyRsWtifc0E6KWYNhFcM6Y3Fs26MwLKrjky2h3YPHQzXhP+0BVx0GreYwJa43OCDpujRwz0acU1BHPgbKqUPooELYgTF9hUMX1GFdFRHA0CeUjZEQ6LuE6UR5ko9yxFhyyIKeiTi5PzT8q4l1/Uyysvs4o0fcJEKKSvokP2kcNmi4w/dMxDv/NTHTlCigC4ZkhvDKoVPALENeE3yGjcYkKYh64ZTTyP1CdMw7iD6JjqLJKxcaI8qZJVTPM5OupyIrhgroVECEqopSgZ6lriFAmyBFthXSO+ki5vHzlsSkZsHjrGawavG3AF5wiAazqHFAKjgoCyawbpN6hgvCZHsb6mVPNMA2gzGj8/ptNFFk0YBIWQnEHsRdyIk2VYjhIrgvN3qpg+oUmIjuPoIZCHlB2RUBNyOlEedbKdyvBaEKsyOidfSoaVKH1CJXJRnSSq5cXNtUU6Z8zbTCkjikOyNnZub7wm5qFH5dmNekYOAXDNyN0yVNgVArBr5unmYiKwa2pGE8+jIGa6adxB7LCI6kR55L3eOKvc6KjLiaDOwUcvl8ysi+gsdn4pw5aqyqsT1kU8qSKHFKZF81F+ZDnaR2G8Zqqq7+SaozwPHetrutIAkFNGBMA1ywg2LhUuBMpg1zTjNeEPXWh4SQIsKuDpe0EITEyHPGLA50U5yRnEXsQNX5FlLEEiOH+niukTUqCO4WghkIeUHZFQE3I6UR51sp3K8FoQqzI6J19MhpUofUIlclGdJCrmxc21RTpnzNtMKSOKQ7I2dm5vfc0Qz0OnVyK05tGR07zm0fKGaqx5FC5dgtrcEQFwzTtChAxxRYC4ppyHDn/oeUp6CRHYNTWjiedREDPdNO4XdlhEdaI88l5vnFVudNTlRFDn4KOXS2bWRXQWO7+UYUtV5dUJ6yKeVJFDCtOi+Sg/shztI2HXXEl2TTEPHeM146qRYt0ucM1Y31407nYIKLvmyOjlXGs6PZiqtVWip4cKNNii08ntB/tChz90qel5L4iDVvMq2eApc5i4DMlighwoYsICJFsQt0aEdRqXEZtXWEbz914unTf/NGIeAnlI2RGJL4GtE+VRJ9upfEfUXWG5qozOKZNEfllIn5DHvPyc15TnoCU3L2ykyqvbooWIvNxqvGb4/aE/Crvm7R7oOBdmBMA1w3x3ULdAESCuWb556LTmEfwGSWog9ppSCP4gdvnMQaVrkuARC80dNNHQpfRRpMvrqCCfyf8j2XZCXsQ+gXAeUnxLNCQcpk3fUH2UqXLPWXXIK0dJOlWfU3F5yD8pMntJ8tpeeV3AVEmHVEZzdRHScvgoP15+YddMT39I79AzVeRB0tFGV2lpqa+XPirT5KPyi/ZcJkXRKpHuc5Uq8wtV/1IVP1prsvQOHeM1A1UJEB4cAuCawWELySFHQNk1g5yHnjdeE/7QWclrNa80rafvRdzEdIiSZQk+L0pzVCYqafogjvKsHRTZ83ZCjElRRUwCQhqBPKTsCIdFXCfKo0yUe5ahQxbEFPTJxcn5J2Xcyy9q5ZWXWUWaPmEiFNJX0SH7yGGzeeM1wz4PndbX3LgR4zVDrldQvQURANdcEBYkJgEBz64Z/HhN+EMXREIqeLE3TEDrfEk1dEwdZSKXUKe9oBfXQuVRUQxRnLMs9Kek6VML5tEnk33MQ4ox1XBwmLZ87NUdkKdEVhmkdF1OBFUGceATKsCHfBEi7iVJGV4WmW4Jti7iSbVEajl8lB+vbBTGa1alJpRdE+M1k6CdYtdGcM3Y3VI0aLEIeOM1pwPzG2TGa+6550RvvXg7VqASPYUXyXSaV1FVQ66ax+j9Y2+KQmp8Kh+FRmcCoTfS8DLROmWaz7lMTIdEoiQHqrTkDGKv5KiDKi2uJouL4Pydzq/OSIHzsyFF3S4PJ4OUxJfiGkt51Ml2KhcyBTnok2u+CFVU5xf18Mqba8v6WddQGWU5fT37yGGzqfGa5/gd+mCN6Lj6kqUd6R16D31DeugL1crZFQAAIABJREFUkmmid+ivtOcGU/U99Jae0vNgsK7jfYX4Zbr3AKFU4Q8dds3FPt6RL1wIgGuG636gNmVEwLNrwh+60btLC2EeukUS/MhDhNOpN5gGctfQMdVNJGPjRHlSJauY5nN01OVEcMFcC4ngcko2lZEyvLguoEXrDCYuryPzGTkclx+dMxLz0KvEmkcYr1lGBYFLuUQAXNMlmpAVKQS88ZrB2TXJGiGNE4fgD11oeFbvkhRIIqAIhEyWJzwGIM55xIDzi2ySO4i9KpZfWgiWQkRw/k7nV2ekwPnZkKLvgETChk3iS8jpRHnUyXYqw2tBrMronCxahpUofUIlclGdJKrhxc21RTpnzNtMKSOKQ7I2dm74Q4/UcxuVjSQC4JqRvG2otAsEymjXrD90zz3bx5h50hu6GG2wa2pGE8+jIGa6adxv7bCI6kR55L3eOKvc6KjLiaDOwUcvl8ysi+gsdn4pw5aqyqsT1kU8qSKHFKZF81F+ZDnaR2IeelUO4zVdPPYhozIIgGtWBndcNQQIlMGu6Q23IrsmjdfkKPyhWwQjj4TkMQfNAzxiwIRBUAjJGcRexI04WYYzKtohgvN3qpg+IQXqGI4WAnlI2REJNSGnE+VRJ9upDK8FsSqjc/LFZFiJ0idUIhfVSaJiXtxcW6RzxrzNlDKiOCRrY+f2xmuGfR461tcMgdpAFYpDAFyzONxQKgYIENeUfoOCH68Za7tmKpvNjr388z9naW6Qmc0geLWc3qD3YqYDDypg867647DcZFEdy0v0KLssLHKq7LqUPtpiOW2hP5JtJ+dF7BMI5yHFt0RDwmHaxK0UiSYmTohz8qzIpctRkk6V+fiE2OQh/6QqKjOIy9B5nUUX0KL5jP2nShXkl+W5rJ23piabbeX5bbz+ZR5jLSVCfNbh+prwhx4DnZPgJoBrJvjmJ73pyq45Mtod2Dx01nes03jNo5jaNclYO07bF9/fs2FD/jx0T8srrU8wGP3updlJJqxDCj+OKiR1UMe1UHP0ylBgoU1K8M6wZGwLIpCHFEc0VjLs3VCNvU7WWU3cE++V0ed0Watv6FNKjI4KGQuUl7I5l73pUv5Hk7uqpqZ3fEMv/V5qz2XdvXggnupsHjo1Dv7Qk66xIt1+cM1I3z5UvhQEiGvCb1ApdhvxNrKKGGa2d9f27+9JtW6oqSG1TVuVOooAR7wEcVpnkZl1Un5MpZpEE5LCVVwn66N9KX3l/KOQbJIoaiII2QjkISVviDwtw97ew95L4UBeqhabl2Nernln8xJYxrzNFqzDC2b0LUlCN7RnszXch3uzobVrwh96KQ97lK00AuCalb4DuH7FEFB2zSD9BrGpRRhc2K4ZS79BNTWZTE1T9gzp6ZZ52hwJQCACCKTGM02pqvYz238uuKYe6Fn60a1dU6yvuWIF/AZVTGPgwiUgAK5ZAngoGm0EYNcszahJpWke+nhvb037hl3bf/4amYSwAYHoIdB77tx4dsPk2IdvvtZLPw1L/lZoAW7Ha8IferTVTdJrD66Z9B6Q4PaXwa7Jejfedk16fz6Wbd9C8ypeq8mO0+Ix+AMCEUMg1ZfL9vZtOLeNfF+NO1wogjiny/GaZNe8CH/oCVZY0W46uGa07x9qXwICxDXlPHT4Q9eWmKUeya5ZMz7WO9He+/L3f27tJS+V2IBA5BBob8+MjdWL8ZrjNDfI1ebUrmn8BsEfegkPfRStFALgmpVCHtetOALKrjkyejnXmk4Ppmrlin2lD9MSEsS0WDNeM67+0Gu2bCHL5vi57c9+3DLGMyuwAYGIIZDto0W7hraMv/z9ng2t9A7d0ROAKaszuyZBmj255shpjNesuN5ABYpCAFyzKNhQKA4IENcs1zx0XvMonn6DmiaOZ8meOf7hsx83TdDihNiAQNQQyPZmm3ontvR++OWe9g32Iu8lGjjd2TXFwk197Ddo/YoVy8mwOTW1ehlv1dXVcXgUow3xRwBcM/73GC30QUDZNYOch85aV47XjKs/9PFdY+PjmS1VtL5m1cwWWtUdGxCIGAK954aOZ7LHd5348p4WeoPuyqzJrNWdXZPfoZPfoI0bMQ/d53mO5FAjAK4Z6tuDygWJgGfXDH68Znz9BmXHcq1ifc0vf/7nP//5NWxAIHoIcL/982sff/DlPePtW0o0ZlrF3do16R36G0e38jt02DWDVAuQHQwC4JrB4AqpEUDAG685HZjfoILxmhx1NxzMnf2leEn1qWzNlqbxMVqb8OcffPDBP2IDAlFF4IM33zyRbd3i7gvq3K6J8ZoRUCuo4sIIgGsujAtSE4CAZ9eEP3TLGLOkIM1DJy/ovbSd+fDEa6+dwAYEIogAd9zt21977cMzqaHeMM5DF+NwMF4zAUopvk0E14zvvUXL7oCAN14zOLumGa8ZV3/oxDVT2WxPy9iZu7EBgcgi8NyZM4fuPjPWkg2pP3Qa9o3xmnd4oON0mBEA1wzz3UHdAkWgrHZNmhvUy8wz5XCe65JMkIFkJrumWNtJ2YJW0mQI/AGByCEgRla2tLRQdw6lP3Rh16TxmkcwXjNQlQDhwSEArhkctpAccgTKYNc04zXj6g+dWigWZElVreRRn5J5ssbGBgQiggB1YOq6tbX1tfWiLzubie52HrpYXxPz0EOuVVA9HwTANX2AQXL8ESCuKf0GlWO8ZsztmsQxawXp1MwTRyAQGQQkJxbGQwo6ewPgeB76hLJrYn3N+OumGLYQXDOGNxVNWhwCyq45Mtod2Dx0VmJChdFa7ifGpDJzZjUpfva4u5JkCFKMgg6isarFwkAUGbKB2iYXAd2B9TsIh18O13ZNWl8TfoMW93BHrrAhAK4ZtjuC+pQNAeKaZfUbFOfxmqywBbOUO6ad2IBABBCQPwA10eROHFa7ZgbjNcumG3Ah5wiAazqHFAKjgoCyawbpN8hTYYfi6g9dUUxxIGbBDRZ0M7l2MrQ8WgiY/qpCzl48EGl16TcI/tCjollQzwUQANdcABQkJQOBcts1x4SVJ5bz0CXVFCYisQPdBAKRQEDSS/HFFPXlUEjtmlU5jNdMhmKKZyvBNeN5X9GqRSBQBrsmqy5BvsiuuT1R4zW55diAQLgRyP9hFGq7Ji1jC3/oi3iqI0tIEQDXDOmNQbWCR4C4ppyHDn/oxZpyvPU1WU1LVp2vvjmGPyAQVgRUp+XeK7sv7Yv9Mswr524euqgbjdeEP/Tg1QKuEAwC4JrB4AqpEUBA2TVHRi/nWtPpwVRtvbORWjSXVakvpcLkeE0xmtHlRSouy3ceumx3WCkG6gUEbHop0VB91tmXisins/GaVFth18Q89AhoFlRxAQTANRcABUnJQIC4ZrnmodfTmkfbkzZeM9yvT1G7pCPABFNbMxkLGQ/leE1t1xR+g7C+ZjL0U8xaCa4ZsxuK5iweAWXXDHIeuqfCeH3NXjYCkipzt4Bf5SXBriloAKyEUURA00td9zDbNenBgXnoi3+2I2foEADXDN0tQYXKhYBn1yzHeM24+w1iG5EwDImdDIKGAYHQImATTQ6b+Lxxl8UmuB+vCX/o5VIOuI5rBMA1XSMKeZFBwBuvOR2Y3yBPhcXXbxApYmlepYMI652Mcxo2IBA6BOTaY2Zvh1y9L8B4zcgoA1Q0aATANYNGGPJDi4Bn14Q/9GKZACtoqaT5wCpa7qy9K70NOUDAJQKFPdXEi/0yzCtH34aWlvr6VA+9/86kt+3Z80V7LpOiaJVIn5dfJtgvBrSxle2uWF8ztJoEFVsEAuCaiwAJWeKJgDdeMzi7Jo/PFLoDdk0fzYpkIFARBIgI0mb2dsgVp3Vt11wDf+jxVEVJaBW4ZhLuMtq4IAJltGumeB56LP2ha3XtmTRZTxsbkSutDTlAwC0Cdh+VnZjle92ZiWipG4kLwq7ZQNvU1OplvFVXVy/4bEMiEAgZAuCaIbshqE75ECiDXdOM14ytP3RSyJIECE1t7WSwVH2N8kAgEASMHVMzTb6M/p3khte6tms+Crtm+dQDruQWAXBNt3hCWoQQIK4p/QYFP15T2DVjub6mZwgiLS0MQ9o65FZru9H9kAIENAKqu8pO63FMrzu74Lf0FXBn16xKkd+gi1tpLXesrxkhJYOqagTANTUSOCYOAWXXHBntDmweuhmvGVt/6MIYxApc6GtrJ4MudDZkAAHnCPBvIc0s5e8iHddstPSjQ7smPUngNyhxKipODQbXjNPdRFuWhABxTfgNEhq36J1R0pJsCsYpE/W+dI0NCUDAPQKRtGtifc0lPeGROUQIgGuG6GagKuVFQNk1g/QbVDBek6Nx8xskjENMBSyTJvNMbTMSQeyAQMgQsPuo/F3EFZQhV8zWoV2THh3wG1Re/YCrOUUAXNMpnBAWJQRg1yxZ/RslDbsmIYC/6CAQNbsm1teMkm5BXechAK45DxIkJAWBMtg1zXjN2PpDF8Ygphj8b+9kvGQ6CwFAIAgERG9VfdT8ZJIhV4zZtV0T89CTopti2E5wzRjeVDRpcQgQ15Tz0OEPvVhlbpS0JJsUF7TT2rvS25ADBFwiUNhTTbzYL8O8cvRtcDcPPVXVd3LNUZ6HjvU1F/d8R65QIQCuGarbgcqUEwFl1xwZvZxrTacHU7VS3ThSaOxWTn0oBL9B8zQxEoBABRHgn0n8hdd7O+ToEUCiW3rqq6SPyibyUflKe24wVd+TEuni99gCVxKPDfnwsNxVUgKteYT1NcupIHAtlwiAa7pEE7IihQBxzfLNQ6c1j+A3aAHN6qdxkQ4EAkXA2DGZZcqPDgkCWvqOxDm0a64ku6aYh471NSOlZlBZiQC4JnpCYhFQds0g56Hnjdcck2aKQDVoudmcp6RJr7KmtnYyWLrGhgQgEAACoreqPsphE3f3HXJr18T6molVVXFoOLhmHO4i2lAUAp5dM/jxmvCHTrocf0AgPAgwu5QcUzNNHXdGbEmwQ7tmTZbeoWO8ZlGPehSqPALgmpW/B6hBhRDwxmtOB+Y3SA+7Sh2CP3RnKhyCgEDpCBg7prRpmrg7PuzarrnmyOmNG1c0LG+onppavYy36urqCj09cVkgsCQEwDWXBBcyxwkBz64Jf+jFqm5tEqLyFBSGIW0dkqfc6W1IAgIuEYiaXbMqNaHsmhivGSctlJi2gGsm5lajoYUIeOM1g7NrmvGa8IdeLJ9FOSAQAALGjhkJuyY9ScR4Tdg1Cx/jiEcDAXDNaNwn1DIABMpo16ynNY+2jzHzTEkdF4DyrIRIabwUV6Ygm53kztq7tEVBFhBwhUBhTzVxZ18k+ja4G69ZJdY8wnjNABQBRJYDAXDNcqCMa4QSgTLYNQvGa3IU/tCd6XIIAgJFI8A/k5hf6r0dcsdnXa6vCX/ooVQjqNTiEADXXBxOyBVDBIhrSr9BwY/XhF1TWDpd6XDIAQKlImDsmMwy5UeHBAEtfUfi3Nk14Q89hiooSU0C10zS3UZb8xBQds2R0e7A5qGLl+bsPYj9BvWSCxHYNUtX4ZAABEpHgHll1Oya8Iee9wBHJEoIgGtG6W6hrk4RIK4Jv0GlKW3LEERBNjXJnbUv1f6E8kAgCAQKe6qJl/aVsErTt8GlXRP+0J0+/iGsvAiAa5YXb1wtRAgou2aQfoPMeE2ya8JvkKWHEQQCFUWAfyYxv9R7O+SK27pdXxP+0EOkPFCVpSIArrlUxJA/NgjArikUbSk7VtBSSfOBVbTcWXtXehtygIBLBAp7qomX8oXIK0vfBod2TfhDj43mSWRDwDUTedvRaEagDHbNvPGasGvmaWJEgEAFEZA/kczeDrnitG7tmvCHDr0VYQTANSN881D10hAgrinnocMferE6nxW0VNKeSZP1tLERudLakAME3CJg91HZiVm+152L/UbY5UicQ7sm/KGX9rhH6coiAK5ZWfxx9QoioOyaI6OXc63p9GCqVqofRyqNZ5+rD89Dhz90WwsjDAQqjID8iWT2dsjRI4Ba6HZ9zUcvwh96BRUGLl0KAuCapaCHspFGgLhmueah85pH8BtEdiP8AYFwIBA1u6bxGwR/6JFWO0mtPLhmUu882l3e8Zrwh15hOxYuDwRsBIwdU79B57Oc6o4LO7Rr0ksS+A2C0oowAuCaEb55qHppCHh2zeDHa8JvkEMN7o4LQFJyEYiUXbOKRuNU9Z1848jW9StWNNA2NbV6GW/V1dWlPQRRGgiUBwFwzfLgjKuEEAFvvOZ0YH6DzPqaYrwmR+EP3bYuIQwEKoNA1Oya/A6d/AZt3LiiYXlDNbhmCBUKqnQ7BMA1b4cOzsUaAc+uCX/oxap7+cpRlKYgG8nkzton13KGlocZgcKeauLFfhnmlaNvg6N56GzXpHfobxzdumLFCozXjLVaimvjwDXjemfRrjsioOyab4wGZ9dkO6bQE/CHPk8TIwEIVBAB/pnE/FLv7ZArjuxyvCbbNdccOU1cE3bNOz7akSF8CIBrhu+eoEZlQqCsdk2aG9TLzDMldZpQcdHfcWNUg+jAKlrurL0rvQ05QMAlAoU91cSdfS3p2+DSronxmmVSDLhMEAiAawaBKmRGAoEy2DXNeE34Q3emwiEICJSOgPyJZPZ2yBWndW3XxHjNSCgWVHIhBMA1F0IFaYlAgLim9BtUjvGasGsKW6crLQ45QKA0BIwdk1mm/OhQ6UxWSCBxLu2aNF7zCMZrJkI1xbGR4JpxvKto06IQUHbNkdHuwOahi5fmPK6fx2vCH7ojHQ4xQKBkBJhXSo6pmaaOl8Zh7dJu7ZpifU3MQ1/Usx2ZQocAuGbobgkqVC4EiGuW1W8QxmvaehhhIFBJBKJn15xQdk2sr1kuDYHrOEQAXNMhmBAVLQSUXfON0cuB2TXNeE34Qxd2JOyAQDgQiKJdk8ZrYh56tJQMaqsRANfUSOCYOATKbdccwzx0jNkEAiFBIHp2zQzGayZOR8WoweCaMbqZaMrSECiDXdOM14Q/9HCYs1ALICAQiKJdE+trLu0Jj9whQgBcM0Q3A1UpLwLENeU8dPhDL5Z/sMKWSpsPPPxO7qx9Jcfk4dpAwA+Bwp5q4sV+GeaVo2+Dw3noVTmM1yyvgsDVXCIArukSTciKFALKrjkyejnXmk4PpmqluvFTTktM59nn6sPz0OEPfZ4qRgIQqBwC8ieS2duhJX7VxS+rhcq4nIfOPiqxvmakFAwqayMArmmjgXCiECCuWa556PW05tF2jNdcSB8jDQhUAgFjx2SWKT865IgBkzhHdk3h6JbGa8IfeqI0VKwaC64Zq9uJxiwFAWXXDHIeuhmvSetr9tazqTPlawWphMYt9Zqekia9ypra2smgI7UNMUDALQKit6o+ymETL/U7Yco7tGvSo0PYNTEPfSmPeOQNDwLgmuG5F6hJmRHw7JrlGK8Jv0GkzfEHBMKCALNLyTE109RxZ5yWBDu2awq/QVhfs8yKApdzgQC4pgsUISOSCHjjNafLsL4m/AY5U+EQBARKR8DYMaVN08TdsWGHdk16ISL8BsGuGUldg0ovB9dEJ0gsAp5dE/7Qi1Xd2iRE5SkoDEPaOiRPudPbkAQEXCIQXbvmcjJsTk2tXsZbdXV1Yp/faHikEADXjNTtQmVdIuCN1wzOrpk3XhP+0IultCgHBFwjYOyYkbBrYrymy0c/ZJUfAXDN8mOOK4YEgTLaNVM8Dx3+0F3apSALCJSCQNTsmimsrxkSvYFqFIUAuGZRsKFQHBAog12TJ55X8Sqbcn1Nsd6meNVcipYMU1lveoV4hU62J2Eusm1Gru1RkAcEXCBg91EOm7i775fD8ZrCrgm/QXHQOwltA7hmQm88mr18OXFN6Tco+PGawq6J9TXdaXFIAgKlIRBduybGa0J7RRABcM0I3jRU2Q0Cyq45Mtod2Dx0M14T/tBdGKMgAwg4QsDYMaVN08RL47B2add2TfIbhHnobh7+kFJuBMA1y404rhcaBIhrwm9QaZrbvHzkd5CsZuXO2tu6F2EgEBYECnuqiZf2lbBK07fB8fqaF7cy18Q89NDoEFRk0QiAay4aKmSMGwLKrhmk36CC8Zochd8gSxsjCAQqhAD/TGJ+qfd2yBUfdmjXpAcH/AbFTQMlqj3gmom63WisjQDsmkLRlrJjBS2VNB9YRcudtXeltyEHCLhEoLCnmngpX4i8svRtcGzXFH6DMF7TfoojHBEEwDUjcqNQTfcIlMGuacZrwh96nhpGBAhUFgH5E8ns7ZArTuvQrol56O4VACSWEwFwzXKijWuFCgHimnIeOvyhF6v2WUFLJe2ZNFlPGxuRK60NOUDALQJ2H5WdmOV73bnYb4RdjsS5s2tifc1QKQ9UZqkIgGsuFTHkjw0Cyq45Mno515pOD6ZqpfpxpNLEWppmvCb8odtaGGEgUGEE5E8ks7dDjh4B1MKWnvqqVA+Ntcw0bduz55X23GCqvicl0onZLvhH70LEkrxi7z1AhF0T89Bjo3yS1xBwzeTdc7RYIUBcs3zz0GnNI/gNWlC3LqxxkQoEAkUgenbNvpNrjvI8dIzXhAqLIALgmhG8aaiyGwSUXTPIeeh54zXhD73CpixcHgh4CBg7pn6Dzqc41d0vIrd2zczJN7C+pptHP6SUHwFwzfJjjiuGBAHPrhn8eE34Q3eowd1xAUhKLgKRs2uuJLummIeO9TVDokBQjaUgAK65FLSQN1YIeOM1pwPzG+QNt4I/dM+ghAAQCAEC0bNrYn3NWKmfpDUGXDNpdxzt9RDw7Jrwh16s7pevHEVpCrKRTO6sfXItZ2h5mBEo7KkmXuyXYV45+jY4nIdek6V36Biv6T2+EYgWAuCa0bpfqK1DBLzxmsHZNc14TfhDn6eKkQAEKocA/0xifqn3dsgVR3Y7XjNL79BPb9y4omF5Q/XU1OplvFVXVzt8IkIUEAgMAXDNwKCF4LAjUEa7Zv2he+7ZPsbMMyV1mlBx0d9xY1SD6MAqWu6svSu9DTlAwCUChT3VxJ19Lenb4M6uWZWaUHZNjNcMu2ZB/RZAAFxzAVCQlAwEymDXLBivyVH4Q3emyyEICBSNgPyJZPZ2yBWndWjXpAeHGK8Ju2YylFP8WgmuGb97ihYtEgHimtJvUPDjNWHXFJZOVzoccoBAqQgYOyazTPnRoaIJbH5BEufSrslrHmG85iIf7sgWNgTANcN2R1CfsiGg7Jojo92BzUNnO6ZwAkLv0E/0kgsR2mLFujwlTXqVNbW1k8F87YsYEAgJAqK3qj7KYRMvlcWa8g7tmvToEOM1aS13jNcsm4rAhdwhAK7pDktIihgCxDXhN6g0zW+UNOtqVrJyZ+2N5kUICIQHgcKeauKlfSWs0vRtcGfXhD/0iKkXVDcfAXDNfDwQSxACyq4ZpN8gM14T/tAtJYwgEKg0Avwzifml3tshV4zYtV0T/tATpJ7i1lRwzbjdUbRn0QjArikUbSk7VtBSSfOBVbTcWXtXehtygIBLBAp7qomX8oXIK0vfBpd2TfhDX/SjHRnDhwC4ZvjuCWpUJgTKYNfMG68Jf+h5mhgRIFBBBORPJLO3Q644rVu7Jvyhl0kx4DJBIACuGQSqkBkJBIhrynno8IderM5nBS2VtGfSZD1tbESutDbkAAG3CNh9VHZilu9152K/EXY5EufQrgl/6JHQKqikDwLgmj7AIDn+CCi75sjo5VxrOj2YqpXqx5FKo/nnPAddz0Pfw/PQRZw0Wnz+PGJJepU1tbWTQVv3IgwEQoOA6K2qj3LYxN19O93aNeEPPf46KcYtBNeM8c1F026PAHHNcs1DT8FvkDsNDklAoHQE5A9Ls7dDjggx0VeHdk34Q7/94xxnw40AuGa47w9qFyACyq4Z5Dx0M14T/tAdKXCIAQIuEDB2TGnTNPHSeayW4NyueRH+0ANUCBAdJALgmkGiC9mhRsCzawY/XhN+g+gdJf6AQHgQMHZMZpnyo0MuuKwU6s6uWZXSfoPgDz3UagWVWxgBcM2FcUFqAhDwxmtOB+Y3qGC8JkfhN8iRJocYIFACAsaOqZkmC9Oc0w0ndmjXpAcH/AYlQCnFt4ngmvG9t2jZHRDw7Jrwh16szrYMQRRkBS131t6N1oYUIOAWgcKeauLFfhnmlaNvgyO7Jvu5repjf+jrV6xYTobNqanVy3irrq6+w1MOp4FAKBAA1wzFbUAlKoGAN14zOLumGa8Jf+jzVDESgEDlEOCfScwv9d4OuWK1Lu2a/A6d/AZt3Ah/6JVQFrhmqQiAa5aKIMpHFoGy2jVpblAvM8+U1GlCxUV/x41RDaIDq2i5s/au9DbkAAGXCBT2VBN39rWkb4NDuya9Q3/j6NYVK1ZgvGZkVU6SKw6umeS7n/C2l8GuacZrwh+6MxUOQUCgdATkTySzt0OuOK1ru+aaI6eZay5vqMY79IQrr+g1H1wzevcMNXaEAHFN6TeoHOM1YdcUtk5XWhxygEBpCBg7JrNM+dGh0pmskEDiXNo1MV7T0YMfYiqBALhmJVDHNUOBgLJrjox2BzYPPW+8JvyhO9LhEAMESkaAeaXkmJpp6nhpHNYu7dquifGaoVAcqEQxCIBrFoMaysQCAeKaZfUbhPGath5GGAhUEoHo2TVpvOYRjNeMhepJYiPANZN419FmgYCyawbpN8iM14Q/dGFHwg4IhAOB6Nk1xfqamIcO7RVNBMA1o3nfUGsHCJTbrjmGeegYswkEQoJA9OyaE8quifU1HTz8IaLcCIBrlhtxXC80CJTBrmnGa8IfejjMWagFEBAIRNGuSeM1MQ89NPoDFVkSAuCaS4ILmeOEAHFNOQ8d/tCL5R+ssKXS5gMPv5M7a1/JMXm4NhDwQ6Cwp5p4sV+GeeXo2+ByHjr8ocdJ+ySuLeCaibvlaLBGQNk1R0Yv51rT6cFUrVQ3fsppienkVY4Wbhcf2h8S4zU5Cn/o83QyEoBA2RGQP5HM3g4t8asuflktVMbtPHS7oblZAAAgAElEQVT4Q9dPbhwjiAC4ZgRvGqrsBgHimuWah15/6J57tmO85kL6GGlAoBIIGDsms0z50SFHxJfEObRrVuUwXtPNgx9SKoEAuGYlUMc1Q4GAsmsGOQ+d7ZhVbN0krnmitx52TUdaHGKAQIkIMK+UHFMzTR13x3xd2jVT5KMS62uGQnGgEsUgAK5ZDGooEwsEPLtmOcZrwm+Q75tGd7odkoDAYhGIlF1T/GCl8Zrwhx4LzZPIRoBrJvK2o9GMgDdeczowv0FsyPTsmvAbJExJ2AGBECAQMbsmPUmEXRPz0KG8ookAuGY07xtq7QABz64Jf+jF6n5rgBsF2aQkd9Z+sXYm5AMC5USgsKeaeLFfhnnl6NvgaLymtmsKv0FYX9PBwx8iyo0AuGa5Ecf1QoOAN14zOLtm3nhN2DXnaWMkAIEKIcA/k5hf6r0dcsV5XY/XXIP1NUOjPVCRJSIArrlEwJA9PgiU0a7Jc4O2wx+6Kx0OOUCgVASMHZNZpvzokCCgpe9IXBB2zQbapqZWL+Oturo6Pg9ktCTOCIBrxvnuom23RaAMdk0zXhP+0EvX3ZAABJwhwLwyQnZNjNe87bMcJ0OPALhm6G8RKhgUAsQ1pd+g4MdrCrsm1tcs1RaF8kDAFQJRs2umsL5mUIoAcsuBALhmOVDGNUKJgLJrjox2BzYP3YzXhD90ZxYpCAICpSMQRbsmxmuGUpGgUotBAFxzMSghTywRIK4Jv0GlKW1rgBsF2eQkd9belR0KcoCASwQKe6qJl/aVsErTt8HdeE1j18R4zViqo7g3Clwz7ncY7fNFQNk1g/QbVDBek6Pwh25pYwSBQIUQ4J9JzC/13g654rQO56FjvKbvcxwnIoEAuGYkbhMqGQQCsGsKRVvKjhW0VNJ8YBUtd9beld6GHCDgEoHCnmripXwh8srSt8GdXbMqRX6DLm6ltdyxvmYQ2gAyA0YAXDNggCE+vAiUwa5pxmvCH3qeGkYECFQWAfkTyeztkCtO69CuSU8S+A0Kry5Bze6IALjmHSFChrgiQFxTzkOHP/Ri1T4raKmkPZMm62ljI3KltSEHCLhFwO6jshOzfK87F/uNsMuROMd2TeE3COM146qRYt0ucM1Y31407nYIKLvmyOjlXGs6PZiqlerHkUojt3LsCx3+0G3tizAQCAkC8ieS2dshR48AamlLT31VqodskpmmbXv2vNKeG0zV96REOjHbBf/0I0P4pfQeIGK8Juah3+55jnOhRgBcM9S3B5ULEgHimuWbh05rHsFv0IK6dWGNi1QgECgCUbNrmnnoGK8ZpFaA7IAQANcMCFiIDT8Cyq4Z5Dx0slEI8wSv5X4C/tBDYtJCNYAA8VjezN4OufpN5Nqu+Sj8oYdfraCGCyMArrkwLkhNAAKeXTP48Zrwhx6ojcoVN4Cc5CAQPbtm38k1R3keOsZrJkA5xa+J4Jrxu6do0SIR8MZrTgfmN8gbbnUI/tBhSwMCIULA2DGlddPE3fFtt3ZNWvMIds1FPtuRLXQIgGuG7pagQuVCwLNrwh96sRyAFbRU0nxgJS131t6d5oYkIOAOgcKeauLFfhnmlaNvg7t56KmVZNcU89AxXrNcGgLXcYgAuKZDMCEqWgh44zWDs2ua8Zrwhz5PFSMBCFQOAfkTyeztkCtG69auifU1o6VfUNs8BMA18+BAJEkIlNGuWU9zg7aPMfNMSZ1WOR3r9MrcGNUgOrCKtiyaMuxKb0MOEHCJQGFPNXFn3xD6Nji0a9Zk6R06xmsmSUPFqq3gmrG6nWjMUhAog12zYLwmR+EP3ZkuhyAgUDQC8ieS2dshV5zWtV2T1tfcuHFFw/KG6qmp1ct4q66uXsojD3mBQKUQANesFPK4bsURIK4p/QYFP14Tdk1h73SlwyEHCJSKgLFjMsuUHx0qmsDmFyRx7uyaVakJZdfEeM2Kqw5UYOkIgGsuHTOUiAkCyq45Mtod2Dx08dKcvQfx+pq95EIEds18dYwYEKgMAswrJcfUTFPHS2WxprxDuyY9OMR4Tdg1Y6J9EtcMcM3E3XI0WCNAXBN+g4TGLXpnGYIoyEpW7qy90bwIAYHwIFDYU0286G9DYUH6Nri0a/KaRxivqZ/eOEYMAXDNiN0wVNcdAsquGaTfIDNeE36DCjUx4kCgggjwzyTml3pvh1wxYod2TXqSZGnNo9O8ljvGa7pTApBULgTANcuFNK4TOgRg1xSKtpQdK2ippPnAKlrurL0rvQ05QMAlAoU91cRL+ULklaVvgzu7Jvyhh06BoEJLQQBccyloIW+sECiDXTNvvCb8oedpYkSAQAURkD+RzN4OueK0ru2a8IceKwWUrMaAaybrfqO1FgLENeU8dPhDL1bns4KWStozabKeNjYiV1obcoCAWwTsPio7Mcv3unOx3wi7HIlzadeEP3Tr4Y1g1BAA14zaHUN9nSGg7Jojo5dzren0YKpWqh9HKo1nn6sPheAP3VbCCAOBSiMgfyKZvR1y9AigJrb00OITPTTWMtO0bc+eV9pzg6n6npRIJ2a74J94bOiB3vrITxL4Q3f26Ieg8iMArll+zHHFkCBAXLNc89B5zSP4DVpYtyIVCFQAgcjZNeEPPSR6A9UoCgFwzaJgQ6E4IKDsmkHOQzfjNeEPvdKGLFwfCFgIGDumfoPOJzl1QWtjUalu7Zrwhx4HrZPYNoBrJvbWo+GeXTP48ZrwG1SUrnan9SEJCOQjEDm7JvyhQ2VFGQFwzSjfPdS9JAS88ZrTgfkN8oZbyfGaHIU/dMu4hCAQqBACkbRrXoQ/9JIe+ShcOQTANSuHPa5cYQQ8uyb8oRer7+UrR1Gagmw4kjtrn29NQgwIhAOBwp5q4sV+GeaVo2+Du3noVWJuEPsNgj/0CisOXL4YBMA1i0ENZWKBgDdeMzi7phmvCX/o81QxEoBA5RDgn0nML/XeDrliww7Ha9KTBH6DYqF2ktoIcM2k3nm0e3lZ7Zo0N6iXmWdK6jSh4qK/48aoBtGBVbTcWXtXehtygIBLBAp7qok7+1rSt8GRXbOK1jyq6mN/6OvJRyVtU1Orl/FWXV2NJzkQiAIC4JpRuEuoYyAIlMGuacZrwh+6MxUOQUCgdATkTySzt0OuOK1Luya/Qye/QRs3wh96INoAQgNGAFwzYIAhPrwIENeUfoPKMV4Tdk1h63SlxSEHCJSGgLFjMsuUHx0qnckKCSTOoV2T3qG/cRTjNcOrT1Cz2yIArnlbeHAyzggou+bIaHdg89DFS3P2+UFruZ+AP3RHOhxigEDJCDCvlBxTM00dL43D2qVd2zXXHDlNc4MaljdU4x16nDVTLNsGrhnL24pGLQYB4ppl9RuE8Zq2HkYYCFQSgejZNTFeczFPdeQJKQLgmiG9MahW8Agou2aQfoPMeM0995zorRf+0WP1Ltl7+UhmImEpMjsZF9Yj7IBA2BCIol0T4zWD1wq4QkAIgGsGBCzEhh+Bcts1xzAPPVY8u5JWOVy7VASiZ9ek8ZpHMF4z/HoFNVwQAXDNBWFBYhIQKINd04zXhD/0sBm2UJ9EIxA9u6ZYXxPz0JOgmuLYRnDNON5VtGlRCBDXlPPQ4Q+9WNbBClsqbT6wqUnurH2p9ieUBwJBIFDYU0282C/DvHL0bXA5D31C2TWxvuaiHu/IFC4EwDXDdT9QmzIioOyaI6OXc63p9GCqVqobR4pNjM0sGK/JUfhDn6eTkQAEyo6A/Ilk9nbI0SOA2tTSU1+V6iGfP5mmbXv2vNKeG0zV96REuvg9tsCV6BHBS7fLvT5yLMvra2Ieehk1BC7lEAFwTYdgQlS0ECCuWa556PW05tF2jNdcQLP6aVykA4FAETB2TGaZ8qNDjogviXNp18xgvGa0FAxqayMArmmjgXCiEFB2zSDnobMdUxgpeH3NXjJx0BaoBi03m/OUNOlV1tTWTgYdqW2IAQJuERC9VfVRDpu4u++Qa7sm1tdMlIKKV2PBNeN1P9GaJSDg2TXLMV4TfoNIm+MPCIQFAWaXkmNqpqnjzjgtCXZo16zKYbzmEp7uyBoyBMA1Q3ZDUJ3yIeCN15wOzG+QN9wKfoOcaXAIAgIOEDB2TGnTNHF3bNilXZPGfMIfevmUA67kGgFwTdeIQl5kEPDsmvCHXqzu1iYhKk9BYRjS1iF5yp3ehiQg4BKBSNk1xUAcGq8Jf+iR0S6oaAEC4JoFgCCaHAS88ZrB2TXzxmvCH3qxlBblgIBrBIwdMxJ2TXpDgnnoydFNMWwpuGYMbyqatDgEymjXTPE8dPhDd2mXgiwgUAoCkbRrCr9BWF9zcc935AoVAuCaobodqEw5ESiDXdOM14Q/dNeGKcgDAiUgEDG7Jr0hEX6DsL5mOVUEruUOAXBNd1hCUsQQIK4p/QYFP15T2DWxvmYpdiiUBQIuEYiuXXM5GTanplYv4626ujpiT11UN6EIgGsm9Maj2cuXK7vmyGh3YPPQzXhN+EMvwQaFokDANQIRs2tivCZUVrQRANeM9v1D7UtAgLgm/AaVpsLlZHMhg4JsdpI7a+/SFgVZQMAVAoU91cRL+0pYpenb4Gh9TfZZifU1S3jWo2jFEQDXrPgtQAUqhYCyawbpN6hgvCZH4TfI0sYIAoEKIcA/k5hf6r0dcsdnnflDF3ZN+A2qlK7AdUtGAFyzZAghIKoIwK4pFG0pO1bQUknzgVW03Fl7V3q7wnLECofsbnSBP9HaCtcPdVgiAoU91cRL+ULklaVvQxB2TYzXjKrGSXS9wTUTffuT3fgy2DXNeE34Q89Tw5GLpDJ+WypybUGFCQH5E8ns7ZCr3w0O/QYJu+ajR05jHnqylVZ0Ww+uGd17h5qXiABxTTkPHf7Qi2UfrKClkuYDq2i5s/au9HaF5aTSfluqwjUTWKMOS0WgsKeaeLFfhnnl6Nvgzq5ZlSK/QRe3MtfEPPQSn/woXgEEwDUrADouGQ4ElF1zZPRyrjWdHkzVSnWzVKXlk5+H86sPheAPfZ4mjlZCKt3k8we7ZrTupKqt/Ilk9nbI5yu9ZFbv0K5JDxP4DQqH3kAtikIAXLMo2FAoDggQ1yzfPHRa8wh+g1zp8ArIgV1zyUyrAndpCXU0dkxmmfKjQ47IM4lzbNcUfoMwXjMO2idxbQDXTNwtR4M1AsquGeQ89LzxmvCH7kiHV0IM7JqVQD3AazKvlBxTM00dd8eRHdo1MQ9dP7ZxjCYC4JrRvG+otQMEPLtm8OM14Q99CRYnd7reoSTYNaN+BwvqHzW7JtbXdPDIh4jKIQCuWTnsceUKI+CN15wOzG+QHLPJ4zXhD13YkSK7g10zsrdu4YpH0a6JeegVVhm4fPEIgGsWjx1KRhwBz64Jf+gLq+M7p1oD3CjIZkS5s/YObYtCaoXkwa5ZSfQDuHZhTzXxO3f7Reagb4O78Zqpqr6Ta47yPHSM14y44klm9cE1k3nf0WpCwBuvGZxd04zXhD/0RSrokGaDXTOkN6bYavHPJOaXem+HXP2ecTtek9Y8wvqa0FxRRQBcM6p3DvUuGYEy2jXrac2j7WPMPGk1xhht3BjVIDrArhmA/c0V74GcfASMHVN3YtF9dXd28SUlwQ7tmivJrinmoWN9zZIf/RBQfgTANcuPOa4YEgTKYNcsGK/JUfhDd6HGyy4Dds2yQx7sBeVPJLO3Q/mstPiYW7sm1tcMieJANYpBAFyzGNRQJhYIENeUfoOCH68Ju2bULX4Yrxn1O1hQ/8jZNWuy9A4d4zVjoXqS2AhwzSTedbRZIKDsmiOj3YHNQxcvzdl7EPsN6q2HXTNYW1WA0rN9uZznOCiTG8qlW4+TJ6HW9ib4DQoQ9uBEGzumHAZi4sXbMQtLurZrrjlyeuPGFQ3LG6qnplYv4626uhpPcyAQBQTANaNwl1DHQBAgrgm/QaUpc1bQUknzgVWt3JlgofqNanx8bCiXqampSWcy6XRu6NxQ65YtTZnWmS3t6ag2Kdn1zuup3HG9nlvaV8IqTULdjdesSk0ouybGawaiDiA0WATANYPFF9JDjICyawbpN8iM1yS7JvwGWXo4akG2a1rbUB9xzYFcX9/Q9HjUmoL6MgLMLu29ibvj4A7tmvSGRIzXhF0zxBoFVbsNAuCatwEHp+KNAOyaQt2WspPmICGBgqykPeuQPOVOb1dYUiqTyRG1FHSzL5fpyzU1NeX6hobGpnsrXDOBOOqwVAQKe6qJl/KFyCtLXwGXdk1e8wjjNeOtk2LcOnDNGN9cNO32CJTBrpk3XhN2zTxNHK1Iqoa4Jg3ZrGlt5RBxzOnpob5065bWpmg1BLWVCPBvIeaXem+Hlspb/fI7tGvSG5IsrXl0mtZyx3jN2z/XcTaUCIBrhvK2oFLlQIC4ppyHDn/oQuMWsWMFLZU0H1jlyp2199PDEUtPpYlhZtKt7e3trTRmM5cbHyLzZs3xgeO0Yir+oodAYU818SK+BwsXoW+DO7sm/KGXQyfgGoEhAK4ZGLQQHHYElF1zZPRyrjWdHkzVSnXjSG3y7HP1oRD8oS+sjiOTmhVWTUE1azI0P4imCbW3N9EsoaFsZNqAiloIyJ9IZm+HHD0C6GotPbT4RA/ZJDNN2/bseaU9N5iq76GVCyjd7xeKeGzogd76yE8SrK8Zdo2C+t0GAXDN24CDU/FGgLhmueah85pH8Bvkp12jkJ5VYzUHyLpJSx4NjZFZkw65XBPsmlG4f/PqaOyYzDLlR4csSlpKkMS5tGvCH3q89VHMWweuGfMbjOb5I6DsmkHOQzfjNeEPvRStXfmyg2JWEL9HzzQ1DQzt2jXdN9A31EvLbDJBwRY5BORtM3s7FE67Jvyh+z/LcSb0CIBrhv4WoYJBIeDZNYMfr5lMv0GuVHYY5IjxmjRgk96c04jNvjNnzh3f0tQ7lKtprQpD9VCHpSIQObsm/KEHpQggtxwIgGuWA2VcI5QIeOM1pwPzG+QNt5LjNTkKf+iRM4FxhWtam3iUZmtTbmzXg9v2fPePr33VTW/S6XU6xmtG8oYaO6Z+g87N4NSlslb//BivGcoHPypVCQTANSuBOq4ZCgQ8uyb8oRfLFqRqFqUpyEpX7kzQXxFH7Ex7U4bmnTf1nfvqw+0f//zL7z/48My5c2MDuenxiDVE3BvUOa+ncsf1em6xX4Z55Uiow/Ga8IceCq2BShSJALhmkcChWPQR8MZrBmfXNOM14Q99niqOVEJVK63c3pcbOvPKiY/f3HPig+8+fvnMmTPTx1tzg5FqByqrEGB2yfxS7+2QKybu3K55Ef7Qo693EtoCcM2E3ng0e/nysto1aW5QLzNPmrUco40boxpEB1bRcmeCrtR2YHJoNZka7y+V7Wmpra+t5avV1tamstnx8fFsunVD+vjEhYnLl7554+L5899efPfkPe+9t+3VVx/c1dc0iHno4m4HdoMCkp7XU+kaJu7s+0lC3dk1q1LabxD8oUN7RRABcM0I3jRU2Q0CZbBrmvGa8IfuTIW7FUT0XyyYmU6T18lsb+/VltqamnQqlW5tTVN0bKi7bxV5B7rw+OOff/qfRz77/Tv7/3ih7cLI9Wsnnr/71QfPZXe4rQ6klQkBZpfML/XeDrnizQ7tmtRN4TfIzXMfUiqCALhmRWDHRcOAAHFN6TeoHOM1Ydd0pcAdyxHr7acz6SbimuuyPT0tPXLLDg6m0ul1q7bMrOubPpu7cO+//O7IU499tunfPt3cNvn4yFNvvn74i7tfPZdNB2R3c9xM1LIAAWPHZJYpPzokCGjpOxLnyK5ZRb20qo/9oa9fsWI5GTanplYv4626ujoMj1LUAQjcCQFwzTshhPOxRUDZNUdGuwObhy5emjObobXcT8Afeunq270Edu5E7yfllu5pudrSk6X/bE92vDfXumXLzMxAd/fZS988uumJhx7a/+t/GW6bnOwfeGb3J9e3vfzKq+cGd5C7KWzRQ4B5ZZTsmvwO/dEjGK8ZW3UU94aBa8b9DqN9vggQ1yyr3yCM1ywwLS3WdFf7//zv/+N/+98XGBfpe2Kxkikf/xIwW/1VYdm8Wlu7Y0fvmaHWyZnuBy+tau0ePfrYO5+9/afO5q7Oxzv7+zuf+e6H917b9sXdu7JpMbhzCRcsEgRcwS0CkbNr0jv0N45uXbFiBcZr+j7ScSK8CIBrhvfeoGYBI6DsmkH6DTLjNffcc6K3XvCaWHEN7+UjmYmEpcjsZNyBwSv1X/+Nt1PzRPmemJfz9gniDaUwbxLRbKG36PUbNtSkB3JDq8imefbs2fvePXp99/5Nv9u6uaurrbmrbbK/8+CNL3e/vv3Du88NEtXEFkEE5G0zezvkitW6HK/Jds01R04z11zeUI136AErB4h3jQC4pmtEIS8yCJTbrjkmzGexoibcGNUgOrCKljsTLF1t/1//Q1BN5pr5wnxP5Ge7c8wwpZZsS29PS30NzQ7K5FbNzMxcvnTy5PMj53df2//ofZ1T+9qG28gWPjnZefHas999e+Jlsmu2FtTqzpdDjjAgkNdT6R6auOkOJYZIqMPxmimM14yMakFF5yMArjkfE6QkBIEy2DWZXYq3tOQ3aDvGaxahu7P/SzJNsmuuZELgbb4nvByLDhjq05PtJbKZzWb7eOvu7p7ZO/r2jXeuj9x3uXO4q3m2o66jYZLGa84Q17xxz4mXD9F4zUVfBhnDhIDsTGZvh0yHKC3k2q6J8ZoJUU1xbCa4ZhzvKtq0KASIa8p56PCHXiwJYAUtlTQfWDHLnbUvSVtf/T/+N6aaYsfv0D1hBSe8dJPjdiHi/zXWedN6foHOVDObGzg+MdG39+ThkbevP3T0j3u7+tfWNTY2NzY3NxPV7O+8+Oaz1749Qe/Qe3ssQUusBkpWEIHCnmripjuUGKJvg0u7Jo3XPILxmot6tCNT+BAA1wzfPUGNyoSAsmuOjF7OtabTgymaUOyQLIixmQXjNcU0FJcXqbgsqoBGTQStnQyWpq7lSM3/+r+YcJ66ZUksOLG0q0hrM3mmn7/xJPRshlbaPD5zfObCyZHHXnrp6J+63jp2rH9tQ8dsW1fn8PBk/8b+AX6Hfg+N19wFu+Z8ECORwh2Xu67e2yFXjwG3dk2xvubGjRivWSb9gMs4RQBc0ymcEBYlBIhrlmseej2tebQd4zVJtS/p7yoP1fzvp67+n4JrSlYgBMw7sSSxclgDjW1QtRF8Q+421KQy6ZrWdQPdl06OXH9q9/5n/nRf5+SxY8f2NXY0NHTUzc7O9ovxmmTX/PNB4pq9O5bWJOQOCQLyJ5LZ2yGrQ5QSJPrq0q45oeyaWF8zSloGdVUIgGuiKyQWAWXXDHIeuhmvCX/oRWjtqv/x3/7H/0FTwyXXtOyavicWdRFl1yQrc2H2qvamzMRE0/Ghs9+suXj92u63D9+3bx8xzWP79k0S1xTbWj03iMdrwq5ZCGFU4saOySxTfnRI/wgp9ejarknjNTEPPbH6KuINB9eM+A1E9YtHwLNrlmO8ZhL9BpVqwaqt/X//3+xV4gHyHbogBEL9+55Y3BU9u6aybJJgtRHXnOjrm7hwafTgU9d2//pfHn9r37F99Ab92I/HGjo66uo6aNdPW+dBOV7zEOyapfKxSpU3dkzNNLkmmnPqDlHSkcS5tGvCH3rxz3qUrDgC4JoVvwWoQKUQ8MZrTgfmN8iM14TfoCLUdm0t6+qq+nl2Td8Ti7pIiib/0LJGNcquSVFaV7O+asOGqkzfxEQ3zQg6eP76txd/d2/nvmN3Hdv3I2/HlFWzoWHtXXfJ8Zp7Thw+tCu3Y1GXRKawIcC8UjNLwzFlyBX/dW3XxPqaldIVuG7JCIBrlgwhBEQVAc+uCX/oxRIBo6TZJiQMQ9o6pOKlqm1BCDy7priEFOl74s5XTI2PZzM1NXoJd+GUsj5V09RUk5m+fJlsmue/2/32o3u7qIOsXbv62CM/PvLII6t1L6fEu8hv0I1n36T1Ncmu2Vp15wsiR/gQUN1VdlruvVao2K9DQTkS6tCuWZXDeE39JcQxegiAa0bvnqHGjhAg0rCif+/IG6PB2TXzxmtifc0CXXzHqOav8+yavifuKJIz8F3JsnEzO06sM1VT05Kq2rJl/Nyu8YnuS89f3P3O7ie+2dvZ1r927dpjq2kjqpnPNTd2nqB56Hu2E9fMtTJNwRY5BORtM3s75IoZu7RrUpeFP3RHT36IqQAC4JoVAB2XDAcCxDXlPPTg7ZopnoeeOH/olhWyOO0tzE1kcPLsmlrMvBNLulR9VQ0xzXEmm9m+8d7shvb24xPd40PT555bc/CJ69e/feabzpm22bV3rV29dtlCXJPsmteevXYeds0lwa5vXjiOxo7JLFN+dMgRcSZxjuyaYoQxjdeEP/RwqA7UYukIgGsuHTOUiAkCZbBrmvGa8IdehAInZc3EZP54Td8Ti7pIikZqEtlMVW1obRroOzfUOjMzdObBvi0zrx688c6Nt7+ZnG2c2fz4Wxvvqq6uXqY33emp19zVP3Pw2rNv/pm5Zq6VlmXFFj0EqAvRZvZ2yBUbdmjXpCeJsGtiHrr+IuIYLQTANaN1v1Bbhwgwa5jdO7JmtEx2zcStrymIYil6W1MB13ZN8QI9VbOBuWYuN7Nlpvts9/Slly++t3v/wb+evjAzPNzY3FbX0ODLNTcT17yB8Zql3NtKl42kXVP4DcL6mg6VAESVCwFwzXIhjeuEDgGimjxec2S0O7B56Ga8JvyhF2H68jVf+p5Y3EXE2/NUmtwDEdWcOD4zcfnSydGRb9/bff53n3ZONrZ1Dm9soOU0lxPX9AybuvvyL5SNll1z1YbFXRO5woWAsWPqN+hcP051x4Id2jXZEn8S89D1txDHyCEArhm5W4YKu0KASQNxzTU0N6gmPUg+KqX6caMSSTfoec4UTKbfoJK1dkB2zRTNCeKhmrxNDJ09u3em+9WjN17aPXLyQhs5PJ96J40AACAASURBVG9s2Njf0dhMZJO5pt50r2OuSetr3mB/6DwPfYPive4YCiSVA4Ho2jV59a2pqdVicAf1Tt0xcQQCYUYAXDPMdwd1CxQBIg1yHvrlwOyaBeM1OZoqmYGVQxMv9hqCDcrMkhgKvi5Je+nUXdE45+M1aTlNNm3mBsjv+fGJva8evnj++vWLf/yIbJq01a2famxubmusa1io+ymuKcdrfrUrt4rWPMIWPQTsPsphE19s379zPod2TYzXXOjLiLToIACuGZ17hZo6RoBYA+yapZEEo6RZV7PylTtrf2eN7J+D5TENcD1es76lh+cG1bS2Hh8YuEyOz6+99PZfH5+86666ubnGjuqpK2TdbG6eZa65Xm+683lcU9k121Wb/VuBM2FEoLCnmnhpXwmrNPUMd/PQU1hfU38FcYwiAuCaUbxrqLMTBMpg12Q7Jr9K5zWPTvTWw65paeJFBDV1dby+ZhWZInt6iGk2dZ89efj87t37N9F6mm9RfzhWRy8np65MTZE3yllh19RUc73ucsw1N85cvMHra354N63l7nToxSJAQRYnCKifMUIWh03cHTN2bdfEeE39LcQxcgiAa0bulqHCrhBg1iDmocMferHa2yhp1tWspOXO2peiuVke0wDXds2qmh4ya2ZyZ1/ddvD87uvfHr6va3LyrmP9x+p46Xbimh3ENus6GoxVc/163eu419B4Tb2+Zg52zVLucOXKFvZUEy/2yzCvHPXeIOyaGK+pv4s4RggBcM0I3SxU1S0CRBrkPPTLudZ0muYGSXXjSP2xNVN9lF0TfoPmaeM7JGjq6tyuKZZyH5++e/v1a28e/YZNmpNv7Tu27623jk3Rtnp1xxQN2/TnmtY89N5VG7DA5h1uYyhPq58xom4cNnFHDwAhsaWHXmb00BzyTNO2PXteac8Npup7UsLeKX6PLXAt/SpEvBCRDxHa0z/W13T7/Ie0siIArllWuHGxMCFAXLN84zVpzSPlN4jfq8dlk6pQtEboQ70TetLMxNcz8pd6FFydxEi7phIuxiTwhRc6YV8h25dL0etyesfNf/TWnOcDpavaWwe6L0zw2/OL1x/6dtMfP3p8ZnLymNj27avukCbNjro6mh/U0dDYOEvv0hub6zrkmu7V1WvXsl3zIvmoPM/v0HO19S2p1MoNGzbUZLKZzK2amvb2Ddne8ZZsS4tiC3adEA4LArJ3mr0dEp2r9B11UjKf045M6Jk0cc0v2nO5DEXZbRURzoU3BkhXxjtyIvkNuriV1nLH+pph0iKoyyIRANdcJFDIFj8ElF3zDVrLPSi7JusroTt4vKaya4ZF2bqoh8WmhIbUO1tbMgbFbSRFVlLZNaV0kuV7Iu86fUN9uTRtPT099fW1zDV7BgfWrRsYmLi8997Tf9309u6n3v7ZfV2z+7p+JKa5lv7m9q1taOggnknrHdGqR811dV1ts82Ns81ts3XKf5DgmncJrnnPwZfvPtezo35lS6alpuZWhhZQOt7UlDm+5VZmrFdwzbzqIBImBMS3UnQv3cl0n3XxvZAyqL056oFMNHParpkR0XTOfz0KKmUqpyvF0MGuGT8dlKAWgWsm6GajqfkIeHbN4MdrWv7QWWu4U2eVlcSkT2yC/EkVafRk6e1U8pVd0wLO94SNx7pVAzk2Zbb0Esus3bChqrZ9S9vE9Nnu45c//ebI7peu7f/T412Ts/TmfN/ajmPH9u378cfVxDGZaDLj5P+64baGuubhZornc00er/nnEx/efa53R/uWW7cytFpnpunWrS0Tp6aHMrcy45mVLbBrig5h35EwhW1Gpzux6c4uasqdNJdrUlyzdbu0a3K0KZ0rzq4p/AZhvGb+cxyxSCAArhmJ24RKBoGAN15zOjC7JisvVlupQ8YfuohL7RbxPbXL6GRuJcfFjg+ynSbDUkNCmCxk2zWlaHXh/BP5V0itW7culx3PDdJqmj29vdnaLVta+7qHcvT2fM3Ft6/vP/Kzf/vJ8PBkxywtqXnlytzclUeuvDjXOEtmzVlh12TC2dzZRi/Q2+o6uprzuSa/Q79n+8t379pxteZWTSYzPp65dev4RPfx490TtzKZlbduEdnUWOTXC7HKI2D3ThnmOtkhvnelbSSvyt+uSVxzgbGanEZXtSujYpQMv0FBaAHILBMC4JplAhqXCR8Cnl2zvP7QlS6pvMItvQZKPwudLFSr3lnasliFLfQtK95UqlaO16SQrrK4cOEJkdfbVaXSreSBMrejtrb+6tWesbEdW2aGLr16edWFk888de2xt//YOTnb1fl4F1kxp27O3eyau7J69VxXV3Ndw2wb7cRW10Zcs5msms2PdwpvleSmhcdr3tW56U32G/ThoXO9PRneJiaOb5k53n12ZubU8VvHKeFWy8qVCgWvSgiEBAHRt/L6KHc0nWq6me5uxR25kxq7ZnrbPWK8ZrF2TayvGT4NghotAQFwzSWAhazxQkDZNd8gH5XBj9c0/tC1SitOgYWnFKtkoZ9llTgmkmSivS+uzkKYLGqbL9VV5p+Yd5XBXB8Pl6uhl+f1LdmeLQPd9P780rtHd9+4/sxfP7owPNPZNjk5S54oaTrQ1FzXzR+npq5caaQE8RKdZ2DUNZPzoOa25uHOriv5XFPODTp897kdO/oyt7bcOn6K7JkzMzOXTj93ecutcSKb9BpdVnVevSzQcK4yCNi9U4a5HguFiq2f6L2F4zVpbpAer1mUXfPRI6dpblDD8oZq+KiMly5KQGvANRNwk9HEhREoo13T8oeuCQgfo7wJ5Sz4JbVCsE7BoeRu3n6pKluq/cyp//lf/0X//+u/0caB//lfp4To/BMizylRDX0dRpbdnecymaYMhQcHczMD3ZdeffeZb68/dP53p2faZtuGh2fX09vyjuF7P/3Jj2TanHrkyr6Orsc//+jTx4eb62aH7/3rvV2NPB29cbhztkP7RRd2zRnimmzXpLXcBzPHiWQOXRg6fvzCpZMXv339q+PHj9NrdOaaAiOx1/XCsfIIyL6Vv+f+Iu9WfohjxWxCFn0rjF2Tx2vSmke54u2afSfXHOV56GxyB9dc+JmO1NAiAK4Z2luDigWNQBnsmtpWosZrCmomVVrlVW6pNWDlbPEojokkrbRNO5eurGXZVOr/Y5KZt/1/4jILnPhf0o4oryXa1jc0xHSTNnqVPjY9PTFz6Zk3X7q26WTnvv7ZycmN6zfSYbajcesT+382/COv4t41N/UTmp/+0O8+Gm7u+uiJBzY93tXVRYbOOlr4yOaaKzo3XXv2Bs9D37VqR9PxiaHLpyZmZi589cx7Xx74/iBZOGm2EHHNGgGIrPDSMUCJYBCw+6UJ+4VET7K6+WLj6tth5qG3yjWPSrBr0ppHsGsGrRQgPygEwDWDQhZyQ48AcU3pNyj48ZqWXZOpR75iW6z6ClM+1QbZGMEJKCiaZdpWSjslSLX/PY9ncuS/CxQWOqFwlShxlbKKZw6km1pbZ7ov8Xqa1zf98b5OIpqzs/3rG+om2e15168fOPCvnw53ENec2/zR2w88/dN3/nO4sevxf/vs/Sc6OzuHZ2c7m2e7mg3XJMtm50Uer3nww7vP9g7SUM2JC92XLz1/8MaX//711wdevzwxQ0M2xzPtMbjPEs147e1+acILhYptt5JFXwnbrnlPaXbNlWTXFPPQsb5m6FULKjgfAXDN+ZggJSEIKLvmyGh3GcZrGn/orMC0YmNKFMVNt0GwKamRRav0zrRQ55SZFrc36PzXPK75P7P1DNj8E/9VW6uly/JVmQGeGzTQ1NQ00Dd09pvD33534+3De98iZ5TENTeuX99AnJO4ZudD7+888KfNjzRemeraeuSnX+98+rOtbff+6Web/rbzs1/97k/3tjVvbqsr5Jpk16R36IdfPZtbNXHh+IWhS88/s/uH377wi1+88PSfKYE2Mm4au6auGY6VRkD3La6HHTZxEyr2m6klUHmXdk2sr5kQxRTPZoJrxvO+olWLQIC4ZgX8BrEC08qIj9H8U21gfc0bHcW/3olW2e2U2Ra399Cpqq29KrbaWi7ZU99ztYf9sJAvIPtE7VWOyTycT5ZPpWp4HjqZNNfRKkfvnr9x7aGj3+zt3McugtY2rG9o6FdTzTc/tfOFJz8dnhsevvn5pid/8/WT+x9vu+/3Tx544Mmvn7z/4fs3/WR2uJkW3bTsmjQPXY7XPPzVrqG+CbJqnn7ms2f/+YW//OIXv9j59MWZiaGJiYnxpls1Xku4WthCgIB9R+wwV033Gx3ieHF/SgJ9G4xdk/0GlTResyZL79AxXnMRD3ZkCSMC4JphvCuoU1kQUHbNIP0GkbaRKqzAb1Dp6qw4JeimlKm9pYspKBqrWyzbbe0Xf20tP1VLtkpacNBjsJ7swhOUx7NqasyramomyJXPxMTZk9sunn/q+tE193XuI6J51759a++iubxi66hrJq6588l7u252bf70ift3vv/k21vnrty7/29PPv3+C384cOCdn22ua+zq8qgmrXkk3qGzXfPg4bvPrlp1+b7nL+7+8rdf/+UX//RPv/inF54+uOXCBXqv3jcxLgHx6iOwWDwKyBkEArpvsWw7bOImJM8vtRZGKl3C2DXXlTxeU6yvuXEj5qGXRTvgIo4RANd0DCjERQeBMto1aW7QHuUPnQkItiARYBLBW82tPlq7ffrs6C/P737z6POPt9111763iG3+yJ4oaVtOPoJm664MP/WbF568d27tlY82PbnzhQP7P5/b3NZ1788e+8Nf/uHrJ3+/aetwR8fj97aREyFyJDQ119Z8peOujZ1H33n22tsnDo/umu4++cZTX/7mBSKaYnvh6YttExcmaF33U0Nsg8WWZASy5CU1QwM5yFeQmIfeSkGK06cIv0ETyq6J8ZrR0TGoqYcAuKYHBQJJQ6AMdk3Ws8JOcujje05MNI3XbOAxfNgCQ6BqnK2JWdpv2LDhVtPx7ufeOH/9qdff+Ld7O9+aJYvmW/QC/ccfBddcLk2bs50P7dx5YOtw871vH3j//Qf2bx2+2XylsetPnz38m9+8/+QTvxrevHnzo09s3cxrvjdufnTTzz4/Vre28yjZNc8fPPzqq+9uv/aktGn+0z/9A7HNF55+bebCxPELtLp7H7hmYPc5IoKzQ33tfUO0IEKuqWnbPfe8kh4a62tqHRpKp9NL9BvEvfokra8Ju2bS1FRc2guuGZc7iXYsGQHimnIeevD+0FvIrnliYmIs15Tl1R6xBYVATXY8VUM72meO93U/+O7B87uvv/7HvTQbqH/tXezzfC29Rqc34svF+EvqM1OdT31N4zU30xJHO9//6ZGtXY2zzWTt/M/Hnn76/qcPPPSr5s57//r7BzZ92tjQcKVr62P/+s5fu2aPdR596cC18xcPjny7+/vf0jjNf/iHf/gn/jDXPDJz/MJE96njx3Gng7rLkZGbHZvY0jeUo//0uu17/vxKEy3D1T4zNkQe0VP1Ppv9Dl+/jxc/WHnNI4zXXPJjHgXCgQC4ZjjuA2pRAQSUXXNk9HIuKL9B3piwQ/d8fGJsbNe5sbHMhshoyuhVdMOGbLamhhCuSmXHpi99dWL3td0Hv7lA/oHaut6qW9t/bOrY6tXHprzRl9Tr6jppvOZPO+kF+tcv/PSJz7tukhP0rua2TQ88+a+/u//p+zcNN366/w87H/uPrrqGqccfffIPDz/x+I8NxDWfvHb+6HsvPfvvPCNIEE3FNZ+9KFZAOkvuhGDDjl4Pclvjwd6BLRMDW1pratJ92/fcM9q+IZ1jrpnmd+jwh16Bhz4uWSkEwDUrhTyuW3EEiGuWax56iucG9TbRjJFzY714tepWodvSMuPZbCpDCGfPPbft9fPn/3zw3UsXJvv7+8mwSZN6OsgLJTmk9Lgm2TevDH/2wgsH/rr/ga9f+Pqxf9s8N9vWRd6CprZuevtnn/9s/6+3Nnd89NA/0+pHjR0Nqzf/7MD7xDX3vfX5ppcO/HD/Dwf+/Wta5kgN1WTCyXbNizMzx493n8rArmnfmGSGs+MDTX19W9prMrkxmhv08rrWDL9Dz6VzfUu1a8IfesUVBipQCgLgmqWgh7KRRkDZNYOch84aVo7X/PM/3vPFc5cunfzii1fuxhYcAofEdvfdr3x44oM3v/v23cszzDT7JzeuXUtvzTumGq9c6aheJja5ilEdc80/PPXTnX954f39n3Y21w131ZHnyrbNn3c+0vmTzq6ODrZrPrV1Oc0O2vyzp9//w6bOfV2fb3rn4d/+9muyacoZQbQns6Z4h/7b66dP0vbcc18dOhRcMyE5Gggc+uruV7569dVXD331ymsff/zy+LrcUKaGFuJirrl0uyb8oUda4SS78uCayb7/iW69Z9cMfrxm6tDHP//y+++//+Tn3/8cW4AIGHi/fPqH77b9P8NbJvs3klGTF9Nkrtkw21jANa90PfXCCzv/eecLX+/c+cCvh3m2eUNbV2Pj3M25trmbV5q7urbuZ7tmQ1vblc2PHnj/wK875+Y6N7309U5+e87LHPHGTJOo5i9+8ZevD3zyww+fvPnmm7jVAd7nCInmbz1vz36/5wsxdJO5ZmZw6XZN+ENPtLqKeuPBNaN+B1H/ohHwxmtOB+Y3yBuveebDjz+g7R/5gy1YBN5jjD948+c/f/P8mtMX2siqOTvZSNN9yFpZTcsc1fU3rLYMm3XDT+38C9k0n37g4Rf+8M6vHu9qa+xobmujqUB1zTT3vLGteev+P7zw2L81NDPXfPj9h389LLjmb34jzJreG3RFNl/4zQ/Xb3z33j9+/LGoRrAthfSwIyC6wcf/+N4H7338wcfbHhzM5YaayMVAhuaNLdmuCX/oRT/qUbDyCIBrVv4eoAYVQsCzawbvD72qqmVs19iuM7vOnDmzC1uQCJw7t4twPrfrzBf/+P0PN7597sKWyfUbG9vampsb63hVzRUb+2enJNdctoxMnVdoHvpf/rLzgSc2/e2FF367/z8+3zw820CugsQCnA3ETxs+2v/wTuaajcs2/+zh3zy8ibjm5k3vPH3ggFjrSNg1fyENm2K85uuXp3ddevA5qgK2xCNw7uy5M7vO8td+bOzcrr4tTZlMK3HNvsyS56Gn4A+9QnoCl3WCALimExghJIoIeOM1g7NrqvGa2d4ssc2W3rHs+FjvGLYAEejtzY73nhsb7x078/LfX79+47Fv//Pzyf7GttkO2upm+zeuWNHfb3PN2c7Pdv7l6/s3fbT34gPkoPKJzcNtsw3Nm7sa2ppnZ5mdtv3LQ3/4zWd/qp6drSa75s6Hfz334o+dxDV/uHbt+2f//eu/yDfo6kX6P71w4PUhWl9z4tTxU6cCbCZERwOBobGh3qFcb/e56aHc4LrWdlrXvbWduGa6JuUzXLNeD/EWA729FyMUgD/0KGoZ1FkhAK6JrpBYBMpo1+wdzzS11qRaqqqqaJ40tqAQyGazPTX1PeMt9S3j585devfId59ce+rv39y7uZmmkTc0TNJs9BUrVuh36NKuSXOD/vLwkY8mJ0+/fuDrr9/5t81dXc207NFsWxv9E+9s+9VTD9MM9brG5hfJrsnv0Pft69x07cmXnjp6dM/Pn/33nfQaXUwLYrr5ixeefv3C8Vszt27dyrTgTgd1n6Mid7Avl1uXbl23amisl5gmzUKnOeitTblczQaf1TXrpU9WOaOQmilX26RDCv7QE6upYtFwcM1Y3EY0ohgEymDX1GaJ1kxv7zgvx1NVNd7bRC5tsAWCAC3jnt3AeryqvSo7fen5NX9/+8YDX/7tiV81drUx12yjWenr1+dxzY5mmhv05Kczw22de9/557/84fdbNz9Os9GbaT3NhuHNn9Nkoa1P0fqaf2pu62r+fBNxzU2dc52fb/r9T2l9zZE/jrz2wQFa94hfoTPVpDWPnn2NljwiB5UrV94KpIkQGiEEasgfemt7e3trE5NM8h9EG5PNDPXRYuyaF+E3qJgnPcqEAAFwzRDcBFShMggQ15R+gwIfr1nTnhkbz7RmsuPZmlSWHNtgCwoBYvQ1G8h8vGHlePfZ/5vI5vnH/vVv73z29qP3bW5bzxPSN9K0dPsdeh3PQ3/2JzNtbZPDb/xt586H9/+K3qI3NjZ21BG97Gxr6LjvoT/s/P1/1DU2/vj5pj/sfHjT5rkXHz/6zk9///Yzh7958Jt3X7/25T/v1IsfkV3zyPGJiePj4ytXrgyqjZAbFQRS5IyyKT3Q1N6aI4451JcbSPflmra0pnlukM92R79B8IdeGX2Bq5aEALhmSfChcJQRUHbNkdHuwOah87s+1h1bMmPZDVvas729VWzqxBYYAmQ/zhDVJJjHJy5f+uqPa555Zv+N+3/65Geb/uPeYbHUZh29SJ9aTduy1fxeXXDNJx9vm9y4vv/Crw/sfOGnR2gt9+ZGmoLe1VxHxs26T2lu0P2PzlLC1v3v7/zDE8M0XvPoOweuvX308Mm9qx6//M3Fawfe10tt7jzwWjdxzcz4rZUtgTUSgqOCQDqdyeTGMxs2ZHozmd5cmkhnLtPe3rRkv0HU4OzJNUdO8xCQ5Q3VU1NyLQWa3BblRzDqnhwEwDWTc6/R0gIEiGuWy28QWzPrN5C6IGtGVNRkFOspibwwGKVSp8bOnXnu0CsfHqQpQm/+8MO1t3+3t2tjY3PXJNHGBmKRtABSf3+DfId+YXJy/Wxj2+n9D//l67990znbNtnQ0F833ElZq+/d9PALB/Zvbp77/IkHaNl3smvSeM13nr12/sS7o2dXrVrVfemVgx/88O/0Jp3Ga+58+uLxy90TfRPkljCKCKLOjhEQXZK+9ezLigZdclT2DB+z5oLjNfn3alUf+0NfT1yTNnDNgoc5omFHAFwz7HcI9QsMAWXXDMhvEI3HUhsPzDKbHTapCDlEQI6Eqx/v7aVlpp479MW2E99ev/HSJy/tfuKPn3Z2vdX21mTdxob+jayzaf3M4c92vvDkR8P9/XWTs53fvPSbF3772V9n2vrXk05v65qta5x9/D9/uvM3P92/6YnP7n/4hZ1/+PXwi7Tm0TXimiMfHtrVu2rV0KqhXS9/e+PL3+78i5gbNMHz0PuabvOa1GFbISrUCKhvux6bKepKaSJZJxYciYya1+hMTXUsc5L8Bm3cCLtmYBoBggNEAFwzQHAhOtwIBGrXJK2idQgrGB0WesZEEAoCAaXRe1p4malzZx786t01B0cufvfDgWdfOnpf12RbZxdbLWkjrjn8+N7Pdu588nTnZMP6/vUbJ5/58oWdv33o9OR6Osfnm4eHO+997H1a7P0P/7zzN+/TeM5fz/1Iax4x1zzx4d27elsHaC2bdX3TJ7d/8OzXv/jFC7/9dmJmy8xEH22+y9oE0WjIDCMC6osveqR+CjDT5Lr6bJpaShu9FcuefOPoVnqHjvGa4dYrqN2CCIBrLggLEpOAAOyaPtou6smSdNT3tPTQWpu8hvaro++OnDh6/bFrL730+/0j93VOzs7O8thNWgOJmOeRJ5987N6u2fUN69f395/+9oGnD7x9erK5bbKxmUZrzjY2Nw//7rMn//DPTx94+v7P/vX+B37XxX6DBNd8+dCuVTvW5dK0lE1399nR17979re//eHEhYGZLTmaB+LvhjDqAKP+i0VAMUpNg0UxQTUppBMLjpYl0yKaZN3MYLxmEtRSXNsIrhnXO4t23REB4ppyHnoQ/tAtXcIKxugTK2gSEXKJAANOMPf0ENscH+8d6p6+9ODLIyMjF6/f+OHLH3Zv+ubeCzNtxDWJaE7WdbT96aH9v+6cFPOEZmc7Tx956sbP9k62DTdOEtckX0OzV65s/tXbv3/gXx/77Ne/+t0T+7d2dUmu+e0J4pq9rYPZpnW57qFVM6suvXvizZ9/cHhVd98ALXFDrmFcNgqyooiA+raLHqmfApQmklVi4cEmmOYFOlk5MV7zjo90ZAgvAuCa4b03qFnACCi75sjo5VxrOj2YqtXKwJVSszSMUSi+785MFoRKQ0DeP7Jr0nSM8fHxPnLbQl4jRw+PjBy9fu2l+z+5sX/NXnKTTott0mvz9Q2dn967+cpUx9RUx03yg9443Lm5i1wGNTbQa/SOZlrLvaurresnH2391a8+2nyz8/PPabimGq954jC/Qx/Mtm9p7es+2z0wM3B59PCaBwcud/cN9dXUbPBd1qa05qF0dBBwa9fEeM2AVQLEB4cAuGZw2EJyyBEgrhncPHRSh5qysmbUYWXSMFGE3CMgqEiVnPCfzdLL7L7u6e6zD/Kb9INH37txjWYJHXn3o+O0ouZsY38DLdve1jh15ea+K6uv7LvZ1tV4ZX1d401a9khMV6c1Nul0Y1dXV+cwvTwfHn7xxRd/ZL9Bz16Tds0NNK94w4Z1fX3dA90DA9NnT04PDA1lBlM1/C7Uuu8IJxEB1QFEj9RPAUoTySqx8OBr16TxmkcwXjPkSgXV80MAXNMPGaTHHgFl18Q89EJtF/W4JDX15KSpihabymbWDdLwyb6haWabh0de//ja9z98Qp4rLwzzS/RGWgKpY6px39zc3COrV08Rpbw5dXOuuXGK/FPSe/XG4a5GGrNJztEbOpbNddI67i/+qLjmeX6HPrhjg1ien7xc93V3980MdPetG6D1Wolp8gJX2JKNgEu7plhfE/PQY6+XYtpAcM2Y3lg0684IeHZNjNeMl8lJ0BtqEq1mSDyQTIw0oJIGUHZPP/jg3aNfbNv+2vXd177//s23n7/Q39+5mVZtn9p3c9/Nubmbjzyy+iYd525e4Xfqc0QwlzcPkyf1xubZLsq3nmyaXbS65ltvyblBB3ke+ob2Vprs3jvQ3krT0WfWkXFzS2sTL6WY6oFdM/F2XZd2zQll16TVEbC+5p0f78gRLgTANcN1P1CbMiLgjdecDsJvEL8pkxsTObPZ3WsNWwAAIABJREFUYZOKkEMEtF2T3M+TWZN9glal17Ez6u7pXQ8eGv3i5Tdev37t/u/fuf73P310ubOtruHKvn2PkDFz7sUrN3985OZc19wjU8Q2G+fa5sh5UF1HY1tbR3NnY0dz45VHbna+uG/urc6jPA99u1jzqL19fGysd3ADebnOrMvk+ta1b6kRzkh7YNd0eFOjKcqtXZPGa8JvUBk1BC7lEAFwTYdgQlS0EPDsmkH4QyfVqI2FrCV1mHSPCSIUDAKCllTVM83kuUFMNtM1ubGxsVXtO849eOjQoVde/uXfz3/3/bPPfvL6p7NdzXdN8fbji3MvznXOrZ568eYcGzf3XZmaa26Ybe6Y7Ozs6mjY2NC8uXNu6pFHftxHfoOe0Wse9bbSgE0asllD/JL8Y7JrmPb2mt7ebA0N2AymeZAaHQTUt130SP3VpzSRrBILD77jNTMYrxktBYPa2giAa9poIJwoBLzxmrBrFuq7aMclFanPjhMJzPJezBPKZXPZnlqyQZIvoa/e3UaeK7976ZN3dr+95tOu2WNX5rpeFK/R6QU6Uc65R27ebG7suNJIM4fov3myuXEjubDsGm6+MjXceWyf9Bsk5qHX7hhPiWGhRG2J3Pb0ZLM1qZ6Wmi2Z8Z5ow4jal46AW7sm/KEnSkHFq7HgmvG6n2jNEhCAXTOmNlZJEaqI+dGqhEwAU+yOuqaqJZttqd1wtffcrgfvfuX5l39J621+/4NYb7Ozq2t4bh8ZNl+82UXDNm++SHPS5xo7puqIaJJJc2NH2+TG2dmGueG2fS92ds4eM/PQB1uzvYJrjmdpKlJ9Pa0fn60hu1X7ljSlxxRgtGuxCKgOoEir+hFUnF2zKofxmkt4uiNryBAA1wzZDUF1yocA7Jql221CKUGpdH63LTeya9IKSPUpclpJFW7Jjk1fItvm8x8e/Pap3S99+cC1t/9jc9e+OaKbLz7y4s0XV0/9SESTpwc1NCyva6bl3Ml9EPurpBkZU8umftx3THJNMQ+9t7aWJfOH34zKhZY4UEVzg0KJDipVRgSoI/CmqamKcP8wifqkOlJfMq/R2VGljNGvJvhDL59ywJVcIwCu6RpRyIsMAsQ1pd8gjNcsUHeeboxmutLonpYWcWuXGh86Rau7P/fVy9su8pv0l9557Inf3ddJy2fSKM2pjtVEKYlqzrU1XqHV3OvqOhrYAzX5oV5eXV29bPXq1Wvl+prnxTz0VuaV6orqGlZKNAFErV0hoL5JXsdgufJf9hmrV+qgIZr8Q0kRTT7QeE34Q4+MdkFFCxAA1ywABNHkIKDsmiOj3ZiHrhVdLI6SKJBlUepqpe+NcicTUd/Q2PS5SydHX35j5Jff3vjh2S9/v+m+x7toEhCtgNRB7JIsmRQRy7lTeHlDRwNRTY9rHuu8aOahCzYgOASTCNpoz/OC6C8WaKIRJSCgOp2mrkISpYlknVhw9Agm9yDPrsmjQdiuiXnoyVFQ8WopuGa87idaswQEiGvCb1CBovN4WZTTlUbXRqF5VIEHcY6PDw2NnT1zknwJXTxK622+dP+1h9bcN9w4Ozs52b+xv5G2WeacZNKU3NOza649RnZNMw99Qw3RAEErFa9gJiFJAsZrxqI7lfJVUACoLiglUZpIntcvZYJFMD3aKVinnodOP36wvuYSnvPIGgoEwDVDcRtQiUogoOya8Bvko/Qim6xVOqlqqdVVgm4QpfOccXYlRGzz5cPb2E/69z+8tPuZ5+97fKZtsn9ycrJxVrw1X05cs67xCg3ZXG69Qz8m56FvF/7QabxmDXMBLZ14BF1AJHpJCCQUAdUrNF0VKAiqSSGdWHCkrmPopmfXpFThNwh2zUqoClyzdATANUvHEBIiigDsmn7qLuLpSqMLnb0Qx1nJipu38d7p6bPTDz7/4cjI0fPXPvnh+2vX//iTtv7+mWGeD7SeX5sT2SSuOVVtxmuSXVPPDfrwEPkNas1kMiQwRaDpjbkCpxawiIjDitYsHQF1y1XHkOW5o3DIZzNEk3uVjImDtmvy6OGpqdXLeKMRxBF9+qLaCUMAXDNhNxzNNQjArumj7aKebFQ6tcTwA9Msshb1kB5nstk7xH7SX3l528jr1z+49slLuy8+v5dMm/Qivb9/lpY5aqiu7pgiL0J1C9k1XyYflbWtTeQwiCybnni2axLTbMpgvKaHSVIDqlfoTihgEFSTQjqx4OgRTKaZnl2TAhivaZ7dCEUOAXDNyN0yVNgVAsQ15Tx0+EMvUHd+ajAi6Vqji+oaliN1N+9reCVMXp8oO0hbbujsg1+R58rtr7/35g+fvHn9789dPj65hegmM84GYpod7LHSHq+p7JoHya452No0MDAgLJuabdLr80yGE2HXjEiHCa77KwBUJ5TXobSCnmn6KIUsgunRTuacWF/T1YMfciqBALhmJVDHNUOBgLJrjoxezrWm04OpWl9TQ5Eq09IwRptoRmJSEHKMgFHpJNjwCNLcaquqpXvNXDOdTqdyg71j586ceXX0iw+3v7bngze///6Tb/80099/YaZh/cb1HTRJiF5Yrp6y56HPirXcaX1NYdcUXJOJpdqIFxDXbBqYgF1TQ5LYo+oUuhMKHATVpJBOLDhSHzV0M9+uCb9BoVAcqEQxCIBrFoMaysQCAeKamIdeoOj8FGCk0rVGF5WWNIdJJtkz1Z9xHllbu2NwsLd3LDe968whYdv8+Mabn1x77+/vfnphuLl//fq65q62fVPLlnV4ds3Va/Va7tt5vGZr08TEBBsxvQGbqSq2alIq7JqR6jZBfBUUALIT6oggm95PE3XOOxiiKTst0808uybGa8ZC/SStEeCaSbvjaK+HgLJrYh66p+ZiEpCkgTQ7b4pBsLbOZMiO2UTDK3u8rb6eLNpjY6tWta/a9erdd99NAzdP3PPB918+++bfP5q50Laxoa5tePjmj1P5dk01D134Q29dR7RygIds6ovRhQaYgMKuKW5AoneKUWoaK7AQVFN3Ft0/zVEwS23P1Efuvhiv6T26EYgeAuCa0btnqLEjBDy7JsZral0Yj6PW6EJ/S6rDCjxTk0k3Mdcc7OlpudrSw3/19T09gzt46+3pHdt15syhlz/8+2sff/DmJ2/eePvdTzvJIfrczSuPXJnb59k1vXno3554mcdrHp84znZNmgmkiQWP1iT+CbtmPLpTKa1QFFJ2Qh0RZFN1FnXGOvjYNYXfoItbec0jzEN3pAEgpowIgGuWEWxcKlwIeOM1p+E3yNJ10Q9KcqCon2IKZBiiueFySxHVrL/acpW45tX6nmxPbWt9tqfn6tWrzDaf+4JmCb12/cYnP3yy++IfP+psvHLsypV9czcbyHUlrTOz+sdHjh2b3cxrud9zQq55RMTyOAnmAZviYuJClDaA8ZrR70sltkD//NA0k8WJfiKOC7LYhe2alAq7Zrj0B2qzJATANZcEFzLHCQHPrgl/6AsqPaUfo3dO8APW8lx1uSkFzjYjfi1Zz1SzhRgnTRCiv/oUvVS/Wkspp04R2zxEbPPP17/75MAP145+0zm5b66L3KSvfvHmiy8+8iLtiWzyWu7f/Zm5ZsuWW6015JKSxOqLacMUpUUWQtTcDQKqA6heKGVyP+GQz6a7D/dT7lbiyAesrxkn7ZO4toBrJu6Wo8EaAW+8JuyaPmovoslGpVMDDGfwb43S+7X1LS29Y2NniG2+su3Et9e/u/bSS5+9/cf7ut7a99Zbc0Q15f9cV9fjR9muuf2Lu8daWlaqi2gKIYTxzpdN+FcEZ2KGgOoDuhOK1lGaSNaJBUePYDK/ZKIp9hSA3yD95MYxggiAa0bwpqHKbhCAXdMiYgUKL9JntEYXjTDkxb+JipEy1yS2eeocLYH01bvbfjly/sYPX/6we9N9ezs7h7tuTr34IhHOmy/OdXb+5Mi1Z98krnlGcE3FHCSDkLIknfC/Is4kAwH1PVKdULaZ+wmHfDaLYGqiyXwT62u6eepDSoUQANesEPC4bOURgF3TR9tFPdmodGqJ4TT+zTJ6v4fJJtk2z1168KvDBy8ePb/7nfvvf+mhNXu7ftzHTJOI5vDciy/y+ppv7iGueYryk2FTUAdFIYQw3hmp/lfGmXgjoPqA7oSisZQmknViwdEjmPPtmo8eOQ1/6JVXHKhBMQiAaxaDGsrEAgHimtJvEMZrFqg7i6BF8YzW6JICemTGvylee1uyWbJtjo+T48pdl15992Xyk3792vc/vLR7039u/Xz4ypUX54a7iHFOdf76xpfX7nmN36Gv5HfotGkGoYgnxz2x/lfGmXgjoLqA6CG6P8iuIuimSs87+No1+06uOcrz0LG+ZizUT9IaAa6ZtDuO9noIKLvmyGg35qHnabuoRyR9EWxP63dO8t+8cz3ZFpooxFxzaGx6evrku2sE23zphx+uPfQfn++7MtfZ9eKLL16p63zmxpc37vk7zw1aSWRTSicp6sockB//a+JMEhBQPUv2Cy8iO6NOLDj62jV5bhDsmt7jG4FoIQCuGa37hdo6RIC4JvwGFSg6xZainSpIjGR7Sr2rFL9mea1uoWFxValsH21EN7vJTzrZNg8evX7jzfv/9tiR/7h3eO4mLbfZ0fg4jdf87s8ffnHozCnYNf1QRTr1PgmCotUqopJ9uLafXXMl2TWPYH1NhwoAosqJALhmOdHGtUKFgLJrwm+Qj9KLbLJR6dQEw3j82+Mx0lSqZsOGmmw21zc4kMvlhrp3PTg6+sXh7d++d+2HT955atOf7u1sbm5ua3v8yL8++93rgmvyeE2+hrBjqitLm6Yn1f/COBNzBFQf0J1QtJbSRLJOLDj62jWxvmao1AcqszQEwDWXhhdyxwgB2DUtIlag8CJ9Rmt00QhDZvyb6LVWcs1UNpupqWnN9fUOTZ898+Crh979cPtFWt392S9feuJfGhqaLw9v/vubB669vu2Lu2lyEMZrevD5I5zUMwoa1QklCpQmkk3PzAv52TVrsvQOHeM1Y6SAktUUcM1k3W+01kIAds08HRefiFHp1CbDcvwbqKxPNFQzS1al7Ph4NlVTk07laEI6zxJ69dArX7z8zOtPXfvkk3d2H/ndfZvbLmy6RnOD/v7y3buIa8Ku6Y9s0s+onqU7oYBDUE0K6cSC423smmuOnN64cUXD8oZq4cNq2bJl1dXV1hMNQSAQWgTANUN7a1CxoBEgrinnocMfeoG681ODEUnXGl1U17Ad/0Z67SKLJv1nx2nYZk0qnSauuaq9tXfXg3e/+tXzH/7y4PUb33/55Y2D9z5+6SLNDdrz9w+f47lB8gqaQWibFbMM/yviTDIQUF1AdULZZkoTyaZn5oV87JpVqQll14Q/9KA1A+QHgAC4ZgCgQmQ0EFB2zZHRy7nWdHowVeuaHFgaxmgT5iDYAkXAqHS6jOE0/tf07gnZlIhrkl2zhrhmNju4rpW8Vw6SffPcGZom9MZBfpP+t0/eOf8MrYS0m3xUPnfqVEaaNQV/MMyCJXpS/S+MMzFHQPUB3QlFa2VXsXumPi2OC9s1uWOepPU1YdeMhnJBLQsRANcsRATxxCBAXBPz0PPUnEXMopyuNbpojiEz/k3y2s1ckw2bqZqqVA8dqqpo31N79Wrv2NkHn3vl+TUHX3/v2ic/vHnj+x++f+/g35//6tz4BLlT500zCMkhJNP0vyLOJAMB1bNkF9ER0VUUC1VnrIOvXRP+0BOjmuLYUHDNON5VtGlRCCi7JuahW4ouFkFJY5j90WY4jX/bPL3Pel7qepmZT7RwsCV7ilZ3f+6r5w//8vXr331y4Le//eH8tudfee7U8ePKsKnYJl+ONt6JAEewJRYB1Qd0JxQ4UJpI1okFR/q1Y+gm/KEv6lGOTOFHAFwz/PcINQwIAc+uifGaBeqOdGGU/7RGF40wNMe/SV5rhV1TKvuCwi3jQ6foRfpzX72y7eC3H3/3/SffHXz5+a8udR8/DrumB58/wkk9o6BRnVCiQGkFncv0UQoZosm9UcboAH/oAakBiC0PAuCa5cEZVwkhAt54zWn4DcrTdlGPGJXOqtv782+Wsj5JPc/afX7WFK252Ts2vYvHbW7bfnDPt69te2X0uUtDt5pS6nKaQiibFV8ZW9IRUH1Ad0IBB6WpPqKT844eweSOmG/XhD/0EKoRVGlxCIBrLg4n5IohAp5dE/7Q85SdR86imqo1umiIYTv+zfFarPW8zmoKp7KDqQw5EyK6+eDdX42+/CFZNV959Wzf8SbYNT34NGw4agQUNKofyVRKE8mmc+WFLIKpuyObN1NV8IceQyWUnCaBaybnXqOlBQh44zVh18xTdpGPGJVOTdFaX1mYFmycd07o+QUtkllac5NW3iTPlefoVfrdd39F26tnzg71DaQ0n1AUQgjjnSd1wWsiMQkIqD6gO6FoMqWJZJ1YcPQIZqFdE/7QCx7giEYJAXDNKN0t1NUpArBrWkSsQOFF+ozW6KIRhtH4N9FrLWXmXHIvQ6p8itfczI6TK6Gx7rEzD545c+bBBy/tmh4bysGu6cHnj3BSzyhoVCeSKHAHy+tb6qzOZF6ce7STk+AP3enTH8LKjAC4ZpkBx+XCgwDsmvlKLjYxo9KpSYbl+LdPmJn4tKIAXtyUJo9CNTU1vPTm+Dgttzk2du7cOeKdQ0M1GK/pD2ziz6iepDuhwENQTdXZ9Anr6BHMQrsm/KGHR3egJktGAFxzyZChQFwQIK4p/QZhvKal6gy9imxIa3RNHRXj8W+k11LFADyGSnrf22ra29ODtOZmKpXu7c2O9/bmWgeHxvraPTpBUtSVOSA//tfEmSQgoHqW7Bg6Ql2D2+6z+Y3XhD/0uCieZLYDXDOZ9x2tJgSUXXNktBvz0H30XjSTJYlR2twwGv/GeHpfUQAvTu8u9d9gesMG4pqDabHREu+DO1oHiXBu0Rfg66kra6bpf0WcSQYCqid5fYRbLfqJOOrkvCP9mDF0s2Ae+kX4DYLqiigC4JoRvXGodukIENeE36A8Nae4UtTTBI1hLc8NMZt/s7x26zIiq1T5GbnlcoODZNUkJ0JVVbU9RDV7sz2pHePZwVZybcqbZhD6qvr6/lfFmfgjoHqW7CI6IrqK3TPVaXkwRJNN6jImDtpvEPyhl/7sh4SyIwCuWXbIccGwIKDsmvAblKfqYhCRFIbZH22Gz/i3zNP7nFmU4T2r+lQNmzGbmppyvGXHc4O1rbXENXt7e3rJU/rgjsE05qEzWNgWRED1LN0JRR5KU71MJ+cdPYIpLeoe3SR/6GuOnF6xYkXD8obqqanVy3irrq4Oy+MU9QACt0MAXPN26OBcrBGAXdMiYnnqLuLpWqOLZhgK4N9Er72UmXMphkrWpEymKU1/xDXJrDnYOzi+o4qpZurq1R21O3rSra2DY1l5Bc0gjAQlxRPuf32ciSsC6uarTihbyR2MQz7bQnZNQTv7Tr5xZOv6FSuWk2ETXDPWqimOjQPXjONdRZsWhQDsmj7aLurJRqVTSwyL8W+Wp/cVBZBxYdcUO3qNzsdBNmTW1tb3kKTaDVW1V+l9+mBvVl2C2YO6Mgfkx/+aOJMEBFTP0p1QNFn0EwrpxIIjdTRDN73xmvy75yT5Ddq4EXbNRT3dkSlkCIBrhuyGoDrlQ4C4ppyHDn/oBerOTw1GJF1rdFFdw2j8G+m1SzEAL66LGCFWSPEIlaIZhOQQmm1qATgmEwHVk7w+wijI//zeY3cropWabuqjIJ/Zk28c3crv0GHXLJ+SwJVcIQCu6QpJyIkcAsquOTJ6OdeaTg+maJKHW4VoaRijS3x1jMmCUGkIyLvIKp02c0v9hXr3RFAByRPzchshdsiSzRLoI8/KMMexJRwB1Qd0rxFoiH5CIZ1YcPSIpnhxbsUyGK8ZOR2DCnsIgGt6UCCQNASIa2IeeoGi81OAkUrXGl1U2pAd/6Z6rVMMwIvrIkaIFcrnkppBSA4hmOc8MVocjklBQHUB1WtkqylNJFtdyQ6aF+jEM63X6SmM10yahopVe8E1Y3U70ZilIKDsmpiHbmu6OISNSqfWGFbj3zSPNXJmUaYgrxFihyzZXExRCE+CCBQIQjRZCKg+oHuNaLzoJxTSiQXHPIJpXqdjvOZSnu3IGzoEwDVDd0tQoXIh4Nk1MV6zQN35qcGIpGuNLqpruI1/I712KQbgxXURI8QK5XNJzSC0zYrP6uI4JhUB1QVUr5EoUJpItrqSHfS1a9J4zSMYr1ku7YDrOEYAXNMxoBAXHQS88ZrT8BtkK7vIh41Kp6YYluPfLo81cmZRpiCvEWKHLNmSWaoEJcGTWiAM0eQgoPqA7jWi4ZQmknViwdHXrinW18Q89OgoGNTURgBc00YD4UQh4Nk14Q+9QN3lkajondMaXTTD8Br/hnjtpcycy4vrIkaIFVI8QqVoBqEksJR5YrQ4HJOCgOoCXh/hdsv//N5jdyu/eegTyq6J9TUTpabi0lhwzbjcSbRjyQh44zVh17RUXQyCksiwSqfNsBr/lnl6X1ABQQbyMxshdsiSzRLoI8/KMMexJRwB1Qd0rxFoiH5CIZ1YcLyNXZPW14TfoCU/51EgFAiAa4biNqASlUAAdk0/dRfxdK3RRTMM2SnQ6VYjvaBiAF5cFzFCrFA+l9QMQnIIwTznidHicEwKAqoLqF4jW01pItnqSnbQd7wm/KFXQkvgmo4QANd0BCTERA8B2DVtFRejsFHp1CjDavxb6LFGzizKFOQ1QuyQJZuLKQrhSRCBAkGIJgsB1Qd0rxGNF/2EQjqx4Hgbuyb8oUdPy6DGCgFwTXSFxCJAXFP6DcJ4zQJ156cGI5KuNbqoruE2/o302qUYgBfXRYwQK5TPJTWD0DYrPquL45hUBFQXUL1GokBpItnqSnbQz65ZlcN4zcTqqhg0HFwzBjcRTSgOAWXXHBntxjx0W9lFPmxUOjXFsBz/dnmskTOLMgV5jRA7ZMmWzFIlKAme1AJhiCYHAdUHdK8RDac0kawTC44+ds1UKgt/6MU96FEqDAiAa4bhLqAOFUGAuCb8BhUoujz6FNVzWqOLxhhe498cr9WUmXN5cV3ECLFCikeoFM0glASWMk+MFodjUhBQXcDrI9xu+Z/fe+xutcA8dOE+iMZrwh96RTQFLuoAAXBNByBCRDQRUHZN+A2yFF0sgpLIsEqnzbAa/7Z5el9QAUEG8jMbIXbIks0S6CPPyjDHsSUcAdUHdK8RaIh+QiGdWHBc2K5JDoSEXRPz0KOpbFBrcE30gcQiALumn7qLeLrW6KIZhuwU6HSrkV5QMQAvrosYIVYon0tqBiE5hGCe88RocTgmBQHVBVSvka2mNJFsdSU7uNB4TW3XFH6DsL5mYlVWlBsOrhnlu4e6l4QA7Jq2iotR2Kh0apRhNf4t9FgjZxZlCvIaIXbIks3FFIXwJIhAgSBEk4WA6gO614jGi35CIZ1YcFzYrkmpwm8Q7JolPfNRuGIIgGtWDHpcuNIIENeU89DhD71A3fmpwYika40uqmu4jX8jvXYpBuDFdREjxArlc0nNILTNis/q4jgmFQHVBVSvkShQmki2upIdvKNds4G2qanVy3irrq6u9GMU1wcCi0EAXHMxKCFPLBFQds2R0cu51nR6MFXrmhxYGsYok3yGYtIRcoaAUekk0rAcf/nePeHMokxBXiPEDlmyuRh95FklwZNaIAzR5CCg+oDuNaLhop9QSCcWHBe2a2K8Zix1UIIaBa6ZoJuNpuYjQFwT89ALFJ2fAoxUutbootKG1/g31WudYgBeXBcxQqxQPpfUDEJyCME854nR4nBMCgKqC6heI1tNaSLZ6kp20MeumcL6mvmPb8SihQC4ZrTuF2rrEAFl18Q8dFvTxSFsVDq1xrAa/6Z5rJEzizIFeY0QO2TJ5mKKQngSRKBAEKLJQkD1Ad1rRONFP6GQTiw43sauCb9BDh//EFVeBMA1y4s3rhYiBDy7JsZrFqg7PzUYkXSt0UV1Dbfxb6TXLsUAvLguYoRYoXwuqRmEtlnxWV0cx6QioLqA6jUSBUoTyVZXsoN3tGtivGaIlAiqslgEwDUXixTyxQ4Bb7zmNPwG2cou8mGj0qkphuX4t8tjjZxZlCnIa4TYIUu2ZJYqQUnwpBYIQzQ5CKg+oHuNaDiliWSdWHC8jV3z0SOnMQ89dnooIQ0C10zIjUYz5yPg2TXhD71A3eWRqOid0xpdNMPwGv+GeO2lzJzLi+siRogVUjxCpWgGoSSwlHlitDgck4KA6gJeH+F2y//83mN3q9v4Dbq4lbgm1tec/yxHSugRANcM/S1CBYNCwBuvCbumpepiEJREhlU6bYbV+LfM0/uCCggykJ/ZCLFDlmyWQB95VoY5ji3hCKg+oHuNQEP0EwrpxILjwnZNSoXfoKA0AeSWAQFwzTKAjEuEEwHYNf3UXcTTtUYXzTBkp0CnW430gooBeHFdxAixQvlcUjMIySEE85wnRovDMSkIqC6geo1sNaWJZKsr2UGf8ZpVKfKHLvwGYbxmOPUJanVbBMA1bwsPTsYZAdg1bRUXo7BR6dQow2r8W+ixRs4syhTkNULskCWbiykK4UkQgQJBiCYLAdUHdK8RjRf9hEI6seC4sF1TrK+Jeehx1kcxbxu4ZsxvMJrnjwBxTek3COM1C9SdnxqMSLrW6KK6htv4N9Jrl2IAXlwXMUKsUD6X1AxC26z4rC6OY1IRUF1A9RqJAqWJZKsr2UEfuybW1/R/kuNMBBAA14zATUIVg0FA2TVHRrsxD91WdpEPG5VOTTEsx79dHmvkzKJMQV4jxA5ZsiWzVAlKgie1QBiiyUFA9QHda0TDKU0k68SC423smpiHHowmgNQyIACuWQaQcYlwIkBcE36DChRdHn2K6jmt0UVjDK/xb47XasrMuby4LmKEWCHFI1SKZhBKAkuZJ0aLwzEpCKgu4PURbreDSL3uAAAZRklEQVT8z+89drdaeB56qqrv5JqjPA8d4zXDqU9Qq9siAK55W3hwMs4IKLsm/AZZii4WQUlkWKXTZliNf9s8vS+ogCAD+ZmNEDtkyWYJ9JFnZZjj2BKOgOoDutcINEQ/oZBOLDj62jV5bhDW14yzRop128A1Y3170bjbIQC7pp+6i3i61uiiGYbsFOh0q5FeUDEAL66LGCFWKJ9LagYhOYRgnvPEaHE4JgUB1QVUr5GtpjSRbHUlO+g3XnMl2TXFPHSsr3m7pzrOhRQBcM2Q3hhUK3gEYNe0VVyMwkalU6MMq/FvoccaObMoU5DXCLFDlmwupiiEJ0EECgQhmiwEVB/QvUY0XvQTCunEgqOvXRPrawavE3CFwBAA1wwMWggOOwLENeU8dPhDL1B3fmowIulao4vqGm7j30ivXYoBeHFdxAixQvlcUjMIbbPis7o4jklFQHUB1WskCpQmkq2uZAf97Jo1WayvGXaVgvr5IwCu6Y8NzsQcAWXXHBm9nGtNpwdTta7JgaVhjDLJZygmHSFnCBiVTiINy/GX790TzizKFOQ1QuyQJZuL0UeeVRI8qQXCEE0OAqoP6F4jGi76CYV0YsHxNnZNWl9z48YVDcsbqqemVi/jrbq6OuZPaTQvJgiAa8bkRqIZS0eAuCbmoRcoOj8FGKl0rdFFpQ2v8W+q1zrFALy4LmKEWKF8LqkZhOQQgnnOE6PF4ZgUBFQXUL1GtprSRLLVleygj12zKjWh7JoYr7n0Zz1KVBwBcM2K3wJUoFIIKLsm5qHbmi4OYaPSqTWG1fg3zWONnFmUKchrhNghSzYXUxTCkyACBYIQTRYCqg/oXiMaL/oJhXRiwXFhuyalivGasGtWSl3guqUhAK5ZGn4oHWEEPLsmxmsWqDs/NRiRdK3RRXUNt/FvpNcuxQC8uC5ihFihfC6pGYS2WfFZXRzHpCKguoDqNRIFShPJVleyg752TfhDj7CyQdXBNdEHEouAN15zGn6DbGUX+bBR6dQUw3L82+WxRs4syhTkNULskCVbMkuVoCR4UguEIZocBFQf0L1GNJzSRLJOLDgubNeEP/TE6qmYNBxcMyY3Es1YOgKeXRP+0AvUXR6Jit45rdFFMwyv8W+I117KzLm8uC5ihFghxSNUimYQSgJLmSdGi8MxKQioLuD1EW63/M/vPXa38vMblMN4zaU/5FEiLAiAa4blTqAeZUfAG68Ju6al6mIQlESGVTpthtX4t8zT+4IKCDKQn9kIsUOWbJZAH3lWhjmOLeEIqD6ge41AQ/QTCunEguNt7Jrwh152JYELukIAXNMVkpATOQRg1/RTdxFP1xpdNMOQnQKdbjXSCyoG4MV1ESPECuVzSc0gJIcQzHOeGC0Ox6QgoLqA6jWy1ZQmkq2uZAd9xmvCH3rkFAwqbCMArmmjgXCiEIBd01ZxMQoblU6NMqzGv4Uea+TMokxBXiPEDlmyuZiiEJ4EESgQhGiyEFB9QPca0XjRTyikEwuOvnZN+ENPlHqKW2PBNeN2R9GeRSNAXFP6DcJ4zQJ156cGI5KuNbqoruE2/o302qUYgBfXRYwQK5TPJTWD0DYrPquL45hUBFQXUL1GokBpItnqSnbQz64Jf+iLfrIjYwgRANcM4U1BlcqDgLJrjox2Yx66rewiHzYqnZpiWI5/uzzWyJlFmYK8RogdsmRLZqkSlARPaoEwRJODgOoDuteIhlOaSNaJBUdfuyb8oZdHL+AqgSAArhkIrBAaBQSIa8JvUIGiy6NPUT2nNbpojOE1/s3xWk2ZOZcX10WMECukeIRK0QxCSWAp88RocTgmBQHVBbw+wu2W//m9x+5WPvPQ4Q89CkoFdfRDAFzTDxmkxx4BZdeE3yBL0cUiKIkMq3TaDKvxb5un9wUVEGQgP7MRYocs2SyBPvKsDHMcW8IRUH1A9xqBhugnFNKJBcfb2TUvwh967NVSXBsIrhnXO4t23REB2DX91F3E07VGF80wZKdAp1uN9IKKAXhxXcQIsUL5XFIzCMkhBPOcJ0aLwzEpCKguoHqNbDWliWSrK9lBn/GaVSntNwj+0O/4aEeG8CEArhm+e4IalQkB2DVtFRejsFHp1CjDavxb6LFGzizKFOQ1QuyQJZuLKQrhSRCBAkGIJgsB1Qd0rxGNF/2EQjqx4LiwXZNSsyfXHDm9YsWKhuUN1VNTq5fxVl1dXaanJS4DBEpCAFyzJPhQOMoIENeU89DhD71A3fmpwYika40uqmu4jX8jvXYpBuDFdREjxArlc0nNILTNis/q4jgmFQHVBVSvkShQmki2upIdXMiuyWlVfew3aD1xTdrANaOseRJZd3DNRN52NJoRUHbNkdHLudZ0ejBV65ocWBrGKJN8hmLSEXKGgFHpJNKwHH/53j3hzKJMQV4jxA5ZsrkYfeRZJcGTWiAM0eQgoPqA7jWi4aKfUEgnFhx97Jr8Dp38Bm3cCLsm1FcUEQDXjOJdQ52dIEBcE/PQCxSdnwKMVLrW6KLShtf4N9VrnWIAXlwXMUKsUD6X1AxCcgjBPOeJ0eJwTAoCqguoXiNbTWki2epKdtDPrknv0N84upXeoWO8ppPHP4SUFwFwzfLijauFCAFl18Q8dFvTxSFsVDq1xrAa/6Z5rJEzizIFeY0QO2TJ5mKKQngSRKBAEKLJQkD1Ad1rRONFP6GQTiw43sauifGaIVIfqMrSEADXXBpeyB0jBDy7JsZrFqg7PzUYkXSt0UV1Dbfxb6TXLsUAvLguYoRYoXwuqRmEtlnxWV0cx6QioLqA6jUSBUoTyVZXsoO+dk2M14yR8kleU8A1k3fP0WKFgDdecxp+g2xlF/mwUenUFMNy/NvlsUbOLMoU5DVC7JAlWzJLlaAkeFILhCGaHARUH9C9RjSc0kSyTiw43sauifGaUF6RRQBcM7K3DhUvFQHPrgl/6AXqLo9ERe+c1uiiGYbX+DfEay9l5lxeXBcxQqyQ4hEqRTMIJYGlzBOjxeGYFARUF/D6CLdb/uf3HrtbLeA3SNg6abzmEYzXLPWpj/IVQgBcs0LA47KVR8Abrwm7pqXqYhCURIZVOm2G1fi3zNP7ggoIMpCf2QixQ5ZslkAfeVaGOY4t4QioPqB7jUBD9BMK6cSCo69dU6yviXnolVccqEExCIBrFoMaysQCAdg1/dRdxNO1RhfNMGSnQKdbjfSCigF4cV3ECLFC+VxSMwjJIQTznCdGi8MxKQioLqB6jWw1pYlkqyvZQd/xmhPKron1NWOhfpLWCHDNpN1xtNdDAHZNW8XFKGxUOjXKsBr/FnqskTOLMgV5jRA7ZMnmYopCeBJEoEAQoslCQPUB3WtE40U/oZBOLDjexq5J4zXhN8h7fiMQKQTANSN1u1BZlwgQ15R+gzBes0Dd+anBiKRrjS6qa7iNfyO9dikG4MV1ESPECuVzSc0gtM2Kz+riOCYVAdUFVK+RKFCaSLa6kh30tWvCH7rLpz9klRkBcM0yA47LhQcBZdccGe3GPHRb2UU+bFQ6NcWwHP92eayRM4syBXmNEDtkyZbMUiUoCZ7UAmGIJgcB1Qd0rxENpzSRrBMLjrexa2J9zfBoD9RkiQiAay4RMGSPDwLENeE3qEDR5dGnqJ7TGl00xvAa/+Z4rabMnMuL6yJGiBVSPEKlaAahJLCUeWK0OByTgoDqAl4f4XbL//zeY3crn3noVTmM14yP8kleS8A1k3fP0WKFgLJrwm+QpehiEZREhlU6bYbV+LfN0/uCCggykJ/ZCLFDlmyWQB95VoY5ji3hCKg+oHuNQEP0EwrpxIKjj10zRT4qsb4mlFdkEQDXjOytQ8VLRQB2TT91F/F0rdFFMwzZKdDpViO9oGIAXlwXMUKsUD6X1AxCcgjBPOeJ0eJwTAoCqguoXiNbTWki2epKdnCh8Zpk6qxK0XhN+EMv9aGP8pVCAFyzUsjjuhVHAHZNW8XFKGxUOjXKsBr/FnqskTOLMgV5jRA7ZMnmYopCeBJEoEAQoslCQPUB3WtE40U/oZBOLDgubNesUnZNzEOvuN5ABYpCAFyzKNhQKA4IENeU89DhD71A3fmpwYika40uqmu4jX8jvXYpBuDFdREjxArlc0nNILTNis/q4jgmFQHVBVSvkShQmki2upIdvJ1dU/gNwvqacdA+iWsDuGbibjkarBFQds2R0cu51nR6MFXrmhxYGsYok3yGYtIRcoaAUekk0rAcf/nePeHMokxBXiPEDlmyuRh95FklwZNaIAzR5CCg+oDuNaLhop9QSCcWHBe2a1Kq8BsEu6Z+fOMYLQTANaN1v1BbhwgQ18Q89AJF56cAI5WuNbqotOE1/k31WqcYgBfXRYwQK5TPJTWDkBxCMM95YrQ4HJOCgOoCqtfIVlOaSLa6kh28o11zORk2p6ZWL+Oturra4RMRooBAYAiAawYGLQSHHQFl18Q8dFvTxSFsVDq1xrAa/6Z5rJEzizIFeY0QO2TJ5mKKQngSRKBAEKLJQkD1Ad1rRONFP6GQTiw4LmzXxHjNsKsT1O/2CIBr3h4fnI0xAp5dE+M1C9SdnxqMSLrW6KK6htv4N9Jrl2IAXlwXMUKsUD6X1AxC26z4rC6OY1IRUF1A9RqJAqWJZKsr2UEfu2YK62vGWBcloGngmgm4yWjiwgh44zWn4TfIVnaRDxuVTk0xLMe/XR5r5MyiTEFeI8QOWbIls1QJSoIntUAYoslBQPUB3WtEwylNJOvEguNt7JrwG7TwkxypEUAAXDMCNwlVDAYBz64Jf+gF6i6PREXvnNboohmG1/g3xGsvZeZcXlwXMUKskOIRKkUzCCWBpcwTo8XhmBQEVBfw+gi3W/7n9x67Wy3gN4iTPLsmxmsGow8gNVAEwDUDhRfCw4yAN14Tdk1L1cUgKIkMq3TaDKvxb5mn9wUVEGQgP7MRYocs2SyBPvKsDHMcW8IRUH1A9xqBhugnFNKJBcfb2DXJbxDmoYdZpaBu/giAa/pjgzMxRwB2TT91F/F0rdFFMwzZKdDpViO9oGIAXlwXMUKsUD6X1AxCcgjBPOeJ0eJwTAoCqguoXiNbTWki2epKdtBnvKbwG3RxK3NNzEOPuWaKZfPANWN5W9GoxSAAu6at4mIUNiqdGmVYjX8LPdbImUWZgrxGiB2yZHMxRSE8CSJQIAjRZCGg+oDuNaLxop9QSCcWHBe2a1Kq8IcOu+ZiHu3IEz4EwDXDd09QozIhQFxT+g3CeM0CdeenBiOSrjW6qK7hNv6N9NqlGIAX10WMECuUzyU1g9A2Kz6ri+OYVARUF1C9RqJAaSLZ6kp28HZ2TeE3COM1y6QgcBmXCIBrukQTsiKFgLJrjox2Yx66rewiHzYqnZpiWI5/uzzWyJlFmYK8RogdsmRLZqkSlARPaoEwRJODgOoDuteIhlOaSNaJBceF7ZpifU3MQ4+UgkFlbQTANW00EE4UAtKu+cya0bMT69blcoPpVHJ0IFoKBIBAKBFIrSS2mVJ7deSklX0n34A/9ERpqFg1FlwzVrcTjVkKAsQ1G/o/Ghn5696BiYm+vtwAuGYolS8qBQQShIDgmYJcEt/URw5gvOZSnu7IGzIEwDVDdkNQnfIhwHbN/nuf+dno2ccHLoBrJkido6lAIHIIrMyeXHOU56FjvGb5dASu5AwBcE1nUEJQ1BAQds29z4z86ezAwKqB7oF1/OoKGxAAAkAghAhk6R061teMmpZBfRUC4JroColFQNg16R366N6BCwMDuVyGfHPgDwgAASAQRgT6Tq7BeM3EaqvINxxcM/K3EA0oFgFt1xzd27dqVa5vEHbNEBpzUCUgAAQEApmT8BtU7LMe5SqOALhmxW8BKlApBIRd816ya56dGBgYzPWkMk3YgAAQAAKhREDPQ8d4zUppDFy3BATANUsAD0WjjQBxzRX9e2nNo+mBgXWDPYO14Jqh1LGoFBAAAk1NfWzX3LhxRcPyhuqpqdXLeKuuro72Qxi1TwoC4JpJudNo5zwEhF3z0sia56dz6R09Wdg1odCBABAILQJk1zwq5gbBH/q8ZzkSQo8AuGbobxEqGBQC0q45so3smul0T09PPeyaodWzqBgQSDoCwq7ZsAJ2zaAUAuQGiQC4ZpDoQnYIEaC3TrxRzYhrbuzfy1xzsL6+p6UHUxCAABAAAmFFAOM1Q6hOUKXFIgCuuVikkC8mCEiqqbjmiv5LzDXJYVBPT8tVrHmENZ+AABAIKQLCbxDGa8ZEDyWuGeCaibvlSW9wAdfc+0uaGzRYf7Wlh+yaVWE1aaBeQAAIJByBzMk3LrLfIBqu2YC5QUnXY5FrP7hm5G4ZKuwKATFe89LBD4lrptJXW65GzmsdKgwEgEBiECAflUdO909OznZgHrorHQA5ZUMAXLNsUONCYUOA56FP7j14+Kvuvmxr+mp9qgUbEAACQCCcCIyz36D+tq7muoaOqakprHkUNoWC+twOAXDN26GDc7FGgKhmQ/+lZw6/OtDa2prOZrMtLT3iHwcgQXQDnQEQhKkXZL/62bf/snF2sp9eoe/b9wi4Zqy1U+waB64Zu1uKBi0WAWnXHDn86oXjTU2D2cFBIhe84QAI0AvwRQjbs2D8OeaaG9c3NNQ13pyDXXOxz3nkCwUC4JqhuA2oRCUQEHbNvc+MHL40Pd2da90ySfODiGWJPxw0FkACSHhfDHSGynWGFjlec+P69bPNzfuWrYZdsxJKA9csFgFwzWKRQ7nII8B2TVpfc827e7sv9PUNzLRWJWaaARoKBIBAxBAgrrnpNL9Bb2yeuyKYJnxURl4JJacB4JrJuddoqUBgPW8itHbt2ob+vb979E+XV810XybbZh+N2cQGBIAAEAghAkOjb2y6NNnf3z/Z3HhlNeyaUGiRQgBcM1K3C5UtHYE8rlnXde/IMyPf3HfpvgfvexAbEAACQCCsCJz85ZFnTvf303hNmoYOrlm6KoCEciIArllOtHGtECCguWZ1Ndk1O9669z9/vWnk8B9HDtO2Zo34P0wH/AEBIAAEwoTAmmeeWXNvP88NEmQT4zVDoE1QhUUjAK65aKiQMR4I5HHNtcc6t/766BNvv/3UQ/vP7z+KDQgAASAQUgR++cfTF9avb5htWM6GTXDNeCikpLQCXDMpdxrtVAgIrkkjNqurl61evfrY3Ob7tt53333/cpJ22IAAEAACYUVg74ULzetpgc06vEOHOoscAuCakbtlqHBpCORxzWM//vjj3Nyxu47t23fs2FtvzWEDAkAACIQRgX1zk/08M2i2sa4Dc4NKUwIoXX4EwDXLjzmuWFEE8rjm1Nzcj0wz9828ddfk5DFsQAAIAIFwInClgZyhT/av39jQQYse4R16RdUILr5UBMA1l4oY8kccAcM11y5b1kE8kzaya07edaz/2Npja9U/H/ABBugD6ANh6QMd69mquWL98uUNjVemOni8ZjVtEX8eo/oJQQBcMyE3Gs30QYAXdLe35XdxRt7hAwzQB9AHwtIH6JEkfifz8wkbEIgaAuCaUbtjqK9jBO5abqimY9EQBwSAABAAAkAACIBrog8AAbbdEOEEEEAACAABIAAEgIBzBMA1nUMKgUAACAABIAAEgAAQAAIKAXBNdAUgAASAABAAAkAACACBoBAA1wwKWcgFAkAACAABIAAEgAAQANdEHwACQAAIAAEgAASAABAICgFwzaCQhVwgAASAABAAAkAACAABcE30ASAABIAAEAACQAAIAIGgEADXDApZyAUCQAAIAAEgAASAABAA10QfAAJAAAgAASAABIAAEAgKAXDNoJCFXCAABIAAEAACQAAIAAFwTfQBIAAEgAAQAAJAAAgAgaAQANcMClnIBQJAAAgAASAABIAAEADXRB8AAkAACAABIAAEgAAQCAoBcM2gkIVcIAAEgAAQAAJAAAgAAXBN9AEgAASAABAAAkAACACBoBAA1wwKWcgFAkAACAABIAAEgAAQANdEHwACQAAIAAEgAASAABAICgFwzaCQhVwgAASAABAAAkAACAABcE30ASAABIAAEAACQAAIAIGgEADXDApZyAUCQAAIAAEgAASAABAA10QfAAJAAAgAASAABIAAEAgKAXDNoJCFXCAABIAAEAACQAAIAAFwTfQBIAAEgAAQAAJAAAgAgaAQANcMClnIBQJAAAgAASAABIAAEADXRB8AAkAACAABIAAEgAAQCAoBcM2gkIVcIAAEgAAQAAJAAAgAAXBN9AEgAASAABAAAkAACACBoBAA1wwKWcgFAkAACAABIAAEgAAQANdEHwACQAAIAAEgAASAABAICgFwzaCQhVwgAASAABAAAkAACAABcE30ASAABIAAEAACQAAIAIGgEADXDApZyAUCQAAIAAEgAASAABAA10QfAAJAAAgAASAABIAAEAgKAXDNoJCFXCAABIAAEAACQAAIAAFwTfQBIAAEgAAQAAJAAAgAgaAQANcMClnIBQJAAAgAASAABIAAEADXRB8AAkAACAABIAAEgAAQCAoBcM2gkIVcIAAEgAAQAAJAAAgAAXBN9AEgAASAABAAAkAACACBoBAA1wwKWcgFAkAACAABIAAEgAAQANdEHwACQAAIAAEgAASAABAICgFwzaCQhVwgAASAABAAAkAACACBhv8fQa4dwlN1x7sAAAAASUVORK5CYII=" + } + }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "% Simulink model A\n", + "% Number of data flows in the schematic\n", + "% Start time\n", + "tini = 0;\n", + "% End time\n", + "tfinal = 3;\n", + "% Time Step\n", + "dt = 0.001;\n", + "% Number of data flows in the schematic\n", + "nflows_3 = 13;\n", + "% Initial conditions\n", + "xo_1 = [2; 1];\n", + "xo_2 = [0; 0];\n", + "\n", + "% Matrices\n", + "C2 = eye(2);\n", + "D2 = [0;0];\n", + "Do = zeros(2,2);\n", + "\n", + "% Instance of the simulation schematic\n", + "sc3 = Schema(tini,tfinal,dt,nflows_3);\n", + "\n", + "c3{1} = ZOH(4,1,Ts); %ZOH arguments: in_ID,out_ID,T\n", + "c3{2} = StateSpace(1,[2 3],A,B,C2,D2,xo_1); \n", + "c3{3} = Gain([2 3],4,-K);\n", + "\n", + "c3{4} = ZOH(11,5,Ts);\n", + "c3{5} = StateSpace(5,[6 7],A,B,C2,D2,xo_1);\n", + "\n", + "c3{6} = Sum(2,6,12,1,-1);\n", + "c3{7} = Sum(3,7,13,1,-1);\n", + "\n", + "c3{8} = Gain([6 7],8,C);\n", + "\n", + "% Notice, that we introduce the discrete StateSpace Object here: DTStateSpace(in,out,A,B,C,D,T,xo)\n", + "c3{9} = DTStateSpace([11 8],[9 10],Aod,Bod,C2,Do,Ts,xo_2);\n", + "\n", + "c3{10} = Gain([9 10],11,-K);\n", + "\n", + "sc3.AddListComponents(c3);\n", + "\n", + "% Run the schematic and plot\n", + "out3 = sc3.Run([1:13]);\n", + "time3 = out3(1,:);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Plot zeitdiskreten Regelkreis ohne Beobachter:**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plot(time3,out3(3,:),'r',time3,out3(4,:),'b');\n", + "legend('State-Space:1','State-Space:2')\n", + "grid on" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Plot Regelkreis mit Zustandsbeobachter:**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plot(time3,out3(7,:),'r',time3,out3(8,:),'b');\n", + "legend('State-Space 1:1','State-Space 1:2')\n", + "grid on" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Plot Differenz beider Regelkreise:**" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plot(time3,out3(13,:),'r',time3,out3(14,:),'b');\n", + "legend('Discrete State-Space:1','Discrete State-Space:2')\n", + "grid on" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "plot(time3,out3(10,:),'r',time3,out3(11,:),'b');\n", + "legend('Discrete State-Space:1','Discrete State-Space:2')\n", + "grid on" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Octave", + "language": "octave", + "name": "octave" + }, + "language_info": { + "file_extension": ".m", + "help_links": [ + { + "text": "GNU Octave", + "url": "https://www.gnu.org/software/octave/support.html" + }, + { + "text": "Octave Kernel", + "url": "https://github.com/Calysto/octave_kernel" + }, + { + "text": "MetaKernel Magics", + "url": "https://metakernel.readthedocs.io/en/latest/source/README.html" + } + ], + "mimetype": "text/x-octave", + "name": "octave", + "version": "4.2.2" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/notebooks/V10_kalman_filter.ipynb b/notebooks/alt/V10_kalman_filter.ipynb similarity index 100% rename from notebooks/V10_kalman_filter.ipynb rename to notebooks/alt/V10_kalman_filter.ipynb diff --git a/matlab/V1/V1_1_soundsamples.m b/notebooks/alt/matlab/V1/V1_1_soundsamples.m similarity index 100% rename from matlab/V1/V1_1_soundsamples.m rename to notebooks/alt/matlab/V1/V1_1_soundsamples.m diff --git a/matlab/V1/V1_2_aliasing.m b/notebooks/alt/matlab/V1/V1_2_aliasing.m similarity index 100% rename from matlab/V1/V1_2_aliasing.m rename to notebooks/alt/matlab/V1/V1_2_aliasing.m diff --git 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0000000000000000000000000000000000000000..d28148db0da865c6d5d872da8be0784cdaf9ab42 Binary files /dev/null and b/notebooks/bilder/v10_roboter.png differ diff --git a/notebooks/systheo2functions.py b/notebooks/systheo2functions.py new file mode 100644 index 0000000000000000000000000000000000000000..93cad9f45412b6238838037023cf2faab2666ea2 --- /dev/null +++ b/notebooks/systheo2functions.py @@ -0,0 +1,106 @@ +import numpy as np +import control +from scipy import signal +from scipy import linalg +from itertools import zip_longest +import matplotlib.pyplot as plt +import sys +sys.path.append('Pysim') +from Schema import Schema +from Block import (Constant, StateSpace, Gain, StepSource, +Division, Product, Saturation, PI,PID, Sum, SquareSignal, +SinusoidalSignalSource, Integrator, Not, TransferFunction, +UnknownWaveSource, Noise) +from DTBlock import (ZOH, DTStateSpace, FIR, DTIntegral, + DTDelay, IIR, DTTransferFunction, KalmanFilter) +import ipywidgets as widgets +from ipywidgets import interact +inv = np.linalg.inv +pi = np.pi +sin = np.sin +cos = np.cos +sqrt = np.sqrt +exp = np.exp +atan2 = np.arctan2 +log10 = np.log10 +dot = np.dot + +s = control.TransferFunction.s + +def deconvolve(N,D,i): + f,R = signal.deconvolve(N,D) + print("deconvolve (im ersten Schritt N/D sonst R/D):") + print("f"+i+":"+str(f)) + print("R:"+str(R)) + return(f,R) + +def convolve(R): + R = signal.convolve(R,[1, 0]) + print("convolve with z^(-1): R=R*z^(-1):"+str(R)+"\n") + return(R) + +def print_det(M): + print("Determinante: "+str(np.around(np.linalg.det(M)))) + +def print_rank(M): + print("Rang: "+str(np.linalg.matrix_rank(M))) + +def print_eig(M): + print("Eigenwerte:") + w,v = np.linalg.eig(M) + for i in w: + print(np.around(i)) + +def matmul_loop(mats): + temp = mats[0] + for i in range(1,len(mats)): + temp = np.matmul(temp,mats[i]) + return temp + +#Benutze eigene Funktion statt control.bode(), da control.bode() oft unerwünscht arrays ausgibt: +def plt_bode(G): + print("Bode-Diagramm:") + temp = signal.lti(G.num[0][0],G.den[0][0]) + w, mag, phase = temp.bode() + plt.plot(w,mag,'blue') + plt.xscale("log") + plt.grid() + plt.legend(['Amplitude mit 20*log10(...)']) + plt.show() + + plt.plot(w,phase,'orange') + plt.xscale("log") + plt.grid() + plt.legend(['Phase in Grad']) + plt.show() + +#Benutze eigene Funktion um Skalierung an die Ausgabe in Matlab anzupassen: +def plt_nyquist(G,scale_x,scale_y,x0,x1): + plt.axhline(y=0, color='lightgrey') + plt.axvline(x=0, color='lightgrey') + + control.nyquist(G) + plt.grid(True) + plt.title('Nyquist-Diagramm von:\n'+str(G)) + + xmin, xmax = plt.xlim() + ymin, ymax = plt.ylim() + plt.xlim(xmin * scale_x + x0, xmax * scale_x +x1) + plt.ylim(ymin * scale_y, ymax * scale_y) + + plt.xlabel('Re(s)') + plt.ylabel('Im(s)') + plt.show() + +#Benutze eigene Funktion um aussagekräftige Ausgabe zu erhalten: +def margin(G): + gm, pm, wg, wp = control.margin(G) + if str(pm) == "inf": + print("keinen Phasenrand gefunden") + else: + print("Phasenrand: "+str(np.around(pm,3))+"° bei Frequenz: "+str(np.around(wp,3))+"rad/s") + if str(gm) == "inf": + print("keine Amplitudenreserve gefunden") + else: + print("Amplitudenreserve: "+str(np.around(gm,3))+" bei Frequenz: "+str(np.around(wg,3))+"rad/s") + diff --git a/requirements.txt b/requirements.txt index 39752e2f614d7a204c2749e23850fe5aec0dad7b..231383718994bafa9e50124824cd8e6e2b526ae2 100644 --- a/requirements.txt +++ b/requirements.txt @@ -1,5 +1,6 @@ scilab_kernel numpy scipy +control matplotlib -PyGnuplot \ No newline at end of file +PyGnuplot