From 699c91f6d79bd633935fa2d7be5d8590226deb59 Mon Sep 17 00:00:00 2001 From: SEOGI KANG Date: Mon, 3 Mar 2014 08:53:19 -0800 Subject: [PATCH] Initial work Mag inversion --- simpegPF/BaseMag.py | 41 +- simpegPF/Magnetics.py | 167 ++++-- simpegPF/Tests/test_forward_PFproblem.py | 18 +- simpegPF/Tests/test_sensitivity_PFproblem.py | 98 +-- simpegPF/notebooks/Linear Inversion.ipynb | 546 +++++++++++++++++ simpegPF/notebooks/MagInversion.ipynb | 598 +++++++++++++++++++ simpegPF/notebooks/test_boundary.py | 142 ----- 7 files changed, 1335 insertions(+), 275 deletions(-) create mode 100644 simpegPF/notebooks/Linear Inversion.ipynb create mode 100644 simpegPF/notebooks/MagInversion.ipynb delete mode 100644 simpegPF/notebooks/test_boundary.py diff --git a/simpegPF/BaseMag.py b/simpegPF/BaseMag.py index c7b3ea28..0c9a7f6a 100644 --- a/simpegPF/BaseMag.py +++ b/simpegPF/BaseMag.py @@ -42,13 +42,13 @@ class BaseMagData(Data.BaseData): """ This function projects the fields onto the data space. - Esepcially, here for we use total magnetic intensity (TMI) data, - which is common in practice. + Esepcially, here for we use total magnetic intensity (TMI) data, + which is common in practice. - First we project our B on to data location + First we project our B on to data location .. math:: - + \mathbf{B}_{rec} = \mathbf{P} \mathbf{B} then we take the dot product between B and b_0 @@ -121,13 +121,30 @@ class BaseMagModel(Model.BaseModel): def __init__(self, mesh, **kwargs): Model.BaseModel.__init__(self, mesh) - def transform(self, m, asMu=True): - if asMu: - return mu_0*(1 + m) - return m + def transform(self, m): - def transformDeriv(self, m, asMu=True): - if asMu: - return mu_0*sp.identity(self.nP) - return sp.identity(self.nP) + return mu_0*(1 + m) + def transformDeriv(self, m): + + return mu_0*sp.identity(self.nP) + +class BaseDepthModel(Model.BaseModel): + """BaseDepthMagModel""" + + def __init__(self, mesh, **kwargs): + Model.BaseModel.__init__(self, mesh) + self.mesh = mesh + self.active_ind = kwargs['active_ind'] + + def transform(self, m): + weight = abs(self.mesh.gridCC[:,2])**1.0 + weight = weight/weight.max() + weight[~self.active_ind] = 1. + return m*weight + + def transformDeriv(self, m): + weight = abs(self.mesh.gridCC[:,2])**1.0 + weight = weight/weight.max() + weight[~self.active_ind] = 1. + return Utils.sdiag(weight) diff --git a/simpegPF/Magnetics.py b/simpegPF/Magnetics.py index 38de9b6d..84c230d3 100644 --- a/simpegPF/Magnetics.py +++ b/simpegPF/Magnetics.py @@ -1,4 +1,4 @@ -from SimPEG import Mesh, Problem, Utils, np, sp, Tests +from SimPEG import * import BaseMag from scipy.constants import mu_0 from MagAnalytics import spheremodel, CongruousMagBC @@ -51,7 +51,7 @@ class MagneticsDiffSecondary(Problem.BaseProblem): def getRHS(self, m): """ - + .. math :: \mathbf{rhs} = \Div(\MfMui)^{-1}\mathbf{M}^f_{\mu_0^{-1}}\mathbf{B}_0 - \Div\mathbf{B}_0+\diag(v)\mathbf{D} \mathbf{P}_{out}^T \mathbf{B}_{sBC} @@ -61,7 +61,9 @@ class MagneticsDiffSecondary(Problem.BaseProblem): Dface = self.mesh.faceDiv Mc = Utils.sdiag(self.mesh.vol) - chi = self.model.transform(m, asMu=False) + mu = self.model.transform(m) + chi = mu/mu_0-1 + Bbc, Bbc_const = CongruousMagBC(self.mesh, self.data.B0, chi) self.Bbc = Bbc self.Bbc_const = Bbc_const @@ -105,11 +107,11 @@ class MagneticsDiffSecondary(Problem.BaseProblem): return {'B': B, 'u': u} @Utils.timeIt - def Jvec(self, m, v, fields=None): + def Jvec(self, m, v, u=None): """ Computing Jacobian multiplied by vector - - By setting our problem as + + By setting our problem as .. math :: @@ -124,51 +126,51 @@ class MagneticsDiffSecondary(Problem.BaseProblem): \\frac{\delta \mathbf{u}}{\delta \mathbf{m}} = - [\\nabla_u \mathbf{C}(\mathbf{u})]^{-1}\\nabla_m \mathbf{C}(\mathbf{m}) - With some linear algebra we can have - + With some linear algebra we can have + .. math :: \\nabla_u \mathbf{C}(\mathbf{u}) = \mathbf{A} - \\nabla_m \mathbf{C}(\mathbf{m}) = - \\frac{\partial \mathbf{A}}{\partial \mathbf{m}}(\mathbf{m})\mathbf{u} - \\frac{\partial \mathbf{rhs}(\mathbf{m})}{\partial \mathbf{m}} + \\nabla_m \mathbf{C}(\mathbf{m}) = + \\frac{\partial \mathbf{A}}{\partial \mathbf{m}}(\mathbf{m})\mathbf{u} - \\frac{\partial \mathbf{rhs}(\mathbf{m})}{\partial \mathbf{m}} - .. math :: + .. math :: - \\frac{\partial \mathbf{A}}{\partial \mathbf{m}}(\mathbf{m})\mathbf{u} = + \\frac{\partial \mathbf{A}}{\partial \mathbf{m}}(\mathbf{m})\mathbf{u} = \\frac{\partial \mathbf{\mu}}{\partial \mathbf{m}} \left[\Div \diag (\Div^T \mathbf{u}) \dMfMuI \\right] \dMfMuI = \diag(\MfMui)^{-1}_{vec} \mathbf{Av}_{F2CC}^T\diag(\mathbf{v})\diag(\\frac{1}{\mu^2}) - \\frac{\partial \mathbf{rhs}(\mathbf{m})}{\partial \mathbf{m}} = \\frac{\partial \mathbf{\mu}}{\partial \mathbf{m}} \left[ + \\frac{\partial \mathbf{rhs}(\mathbf{m})}{\partial \mathbf{m}} = \\frac{\partial \mathbf{\mu}}{\partial \mathbf{m}} \left[ \Div \diag(\M^f_{\mu_{0}^{-1}}\mathbf{B}_0) \dMfMuI \\right] - \diag(\mathbf{v})\mathbf{D} \mathbf{P}_{out}^T\\frac{\partial B_{sBC}}{\partial \mathbf{m}} - In the end, + In the end, .. math :: - \\frac{\delta \mathbf{u}}{\delta \mathbf{m}} = - - [ \mathbf{A} ]^{-1}\left[ \\frac{\partial \mathbf{A}}{\partial \mathbf{m}}(\mathbf{m})\mathbf{u} + \\frac{\delta \mathbf{u}}{\delta \mathbf{m}} = + - [ \mathbf{A} ]^{-1}\left[ \\frac{\partial \mathbf{A}}{\partial \mathbf{m}}(\mathbf{m})\mathbf{u} - \\frac{\partial \mathbf{rhs}(\mathbf{m})}{\partial \mathbf{m}} \\right] - - A little tricky point here is we are not interested in potential (u), but interested in magnetic flux (B). - Thus, we need sensitivity for B. Now we take derivative of B w.r.t m and have + + A little tricky point here is we are not interested in potential (u), but interested in magnetic flux (B). + Thus, we need sensitivity for B. Now we take derivative of B w.r.t m and have .. math :: - \\frac{\delta \mathbf{B}} {\delta \mathbf{m}} = \\frac{\partial \mathbf{\mu} } {\partial \mathbf{m} } - \left[ + \\frac{\delta \mathbf{B}} {\delta \mathbf{m}} = \\frac{\partial \mathbf{\mu} } {\partial \mathbf{m} } + \left[ \diag(\M^f_{\mu_{0}^{-1} } \mathbf{B}_0) \dMfMuI \\ - \diag (\Div^T\mathbf{u})\dMfMuI \\right ] - - (\MfMui)^{-1}\Div^T\\frac{\delta\mathbf{u}}{\delta \mathbf{m}} - - Finally we evaluate the above, but we should remember that + - (\MfMui)^{-1}\Div^T\\frac{\delta\mathbf{u}}{\delta \mathbf{m}} - .. note :: + Finally we evaluate the above, but we should remember that - We only want to evalute + .. note :: + + We only want to evalute .. math :: @@ -178,13 +180,13 @@ class MagneticsDiffSecondary(Problem.BaseProblem): """ - if fields is None: - fields = self.fields(m) + if u is None: + u = self.fields(m) - B, u = fields['B'], fields['u'] - mu = self.model.transform(m, asMu=True) - dmudm = self.model.transformDeriv(m, asMu=True) - dmdmu = Utils.sdiag(1/(dmudm.diagonal())) + B, u = u['B'], u['u'] + mu = self.model.transform(m) + dmudm = self.model.transformDeriv(m) + dchidmu = Utils.sdiag(1/mu_0*np.ones(self.mesh.nC)) vol = self.mesh.vol Div = self._Div @@ -204,42 +206,43 @@ class MagneticsDiffSecondary(Problem.BaseProblem): dCdm_A = Div * ( Utils.sdiag( Div.T * u )* dMfMuI *dmudm ) dCdm_RHS1 = Div * (Utils.sdiag( self.MfMu0*B0 ) * dMfMuI) temp1 = (Dface*(self._Pout.T*self.Bbc_const*self.Bbc)) - dCdm_RHS2v = (Utils.sdiag(vol)*temp1)*np.inner(vol, v) - dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v + dCdm_RHS2v = (Utils.sdiag(vol)*temp1)*np.inner(vol, dchidmu*dmudm*v) + dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v dCdm_v = dCdm_A*v - dCdm_RHSv - m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(1/dCdu.diagonal())) - sol, info = sp.linalg.bicgstab(dCdu, dCdm_v, tol=1e-8, maxiter=1000, M=m1) + m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(1/dCdu.diagonal())) + sol, info = sp.linalg.bicgstab(dCdu, dCdm_v, tol=1e-6, maxiter=1000, M=m1) if info > 0: - raise Exception ("Iterative solver did not work well") + print "Iterative solver did not work well (Jvec)" + # raise Exception ("Iterative solver did not work well") # B = self.MfMuI*self.MfMu0*B0-B0-self.MfMuI*self._Div.T*u # dBdm = d\mudm*dBd\mu - dudm = -sol + dudm = -sol dBdmv = ( Utils.sdiag(self.MfMu0*B0)*(dMfMuI * (dmudm*v)) \ - Utils.sdiag(Div.T*u)*(dMfMuI* (dmudm*v)) \ - - self.MfMuI*(Div.T* (dudm)) ) - + - self.MfMuI*(Div.T* (dudm)) ) + return Utils.mkvc(P*dBdmv) @Utils.timeIt - def Jtvec(self, m, v, fields=None): + def Jtvec(self, m, v, u=None): """ Computing Jacobian^T multiplied by vector. .. math :: - (\\frac{\delta \mathbf{P}\mathbf{B}} {\delta \mathbf{m}})^{T} = \left[ \mathbf{P}_{deriv}\\frac{\partial \mathbf{\mu} } {\partial \mathbf{m} } - \left[ + (\\frac{\delta \mathbf{P}\mathbf{B}} {\delta \mathbf{m}})^{T} = \left[ \mathbf{P}_{deriv}\\frac{\partial \mathbf{\mu} } {\partial \mathbf{m} } + \left[ \diag(\M^f_{\mu_{0}^{-1} } \mathbf{B}_0) \dMfMuI \\ - \diag (\Div^T\mathbf{u})\dMfMuI - \\right ]\\right]^{T} + \\right ]\\right]^{T} - \left[\mathbf{P}_{deriv}(\MfMui)^{-1}\Div^T\\frac{\delta\mathbf{u}}{\delta \mathbf{m}} \\right]^{T} - where + where .. math :: @@ -247,20 +250,20 @@ class MagneticsDiffSecondary(Problem.BaseProblem): .. note :: - Here we only want to compute + Here we only want to compute .. math :: \mathbf{J}^{T}\mathbf{v} = (\\frac{\delta \mathbf{P}\mathbf{B}} {\delta \mathbf{m}})^{T} \mathbf{v} """ - if fields is None: - fields = self.fields(m) + if u is None: + u = self.fields(m) - B, u = fields['B'], fields['u'] - mu = self.model.transform(m, asMu=True) - dmudm = self.model.transformDeriv(m, asMu=True) - dmdmu = Utils.sdiag(1/(dmudm.diagonal())) + B, u = u['B'], u['u'] + mu = self.model.transform(m) + dmudm = self.model.transformDeriv(m) + dchidmu = Utils.sdiag(1/mu_0*np.ones(self.mesh.nC)) vol = self.mesh.vol Div = self._Div @@ -279,26 +282,33 @@ class MagneticsDiffSecondary(Problem.BaseProblem): dCdu = self.getA(m) s = Div * ( self.MfMuI.T * ( P.T*v ) ) - m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(1/(dCdu.T).diagonal())) - sol, info = sp.linalg.bicgstab(dCdu.T, s, tol=1e-8, maxiter=1000, M=m1) + m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(1/(dCdu.T).diagonal())) + sol, info = sp.linalg.bicgstab(dCdu.T, s, tol=1e-6, maxiter=1000, M=m1) if info > 0: - raise Exception ("Iterative solver did not work well") + print "Iterative solver did not work well (Jtvec)" + # raise Exception ("Iterative solver did not work well") + # dCdm_A = Div * ( Utils.sdiag( Div.T * u )* dMfMuI *dmudm ) - dCdm_Atsol = ( dMfMuI.T*( Utils.sdiag( Div.T * u ) * (Div.T * dmudm)) ) * sol + # dCdm_Atsol = ( dMfMuI.T*( Utils.sdiag( Div.T * u ) * (Div.T * dmudm)) ) * sol + dCdm_Atsol = ( dmudm.T * dMfMuI.T*( Utils.sdiag( Div.T * u ) * Div.T ) ) * sol + + # dCdm_RHS1 = Div * (Utils.sdiag( self.MfMu0*B0 ) * dMfMuI) + # dCdm_RHS1tsol = (dMfMuI.T*( Utils.sdiag( self.MfMu0*B0 ) ) * Div.T * dmudm) * sol + dCdm_RHS1tsol = ( dmudm.T * dMfMuI.T*( Utils.sdiag( self.MfMu0*B0 ) ) * Div.T ) * sol + - # dCdm_RHS1 = Div * (Utils.sdiag( self.MfMu0*B0 ) * dMfMuI) - dCdm_RHS1tsol = (dMfMuI.T*( Utils.sdiag( self.MfMu0*B0 ) ) * Div.T * dmudm) * sol - # temp1 = (Dface*(self._Pout.T*self.Bbc_const*self.Bbc)) - # dCdm_RHS2v = (Utils.sdiag(vol)*temp1)*np.inner(vol, v) temp1sol = ( Dface.T*( Utils.sdiag(vol)*sol ) ) temp2 = self.Bbc_const*(self._Pout.T*self.Bbc).T - dCdm_RHS2tsol = vol*np.inner(temp2, temp1sol) + # dCdm_RHS2v = (Utils.sdiag(vol)*temp1)*np.inner(vol, dchidmu*dmudm*v) + dCdm_RHS2tsol = (dmudm.T*dchidmu.T*vol)*np.inner(temp2, temp1sol) + + # dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v dCdm_RHStsol = dCdm_RHS1tsol - dCdm_RHS2tsol - # dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v + # dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v # dCdm_v = dCdm_A*v - dCdm_RHSv Ctv = dCdm_Atsol - dCdm_RHStsol @@ -311,7 +321,35 @@ class MagneticsDiffSecondary(Problem.BaseProblem): Btemp = Utils.sdiag(Div.T*u)*(dMfMuI* (dmudm)) Jtv = Atemp.T*(P.T*v) - Btemp.T*(P.T*v) - Ctv - return Utils.mkvc(Jtv) + return Utils.mkvc(Jtv) + +def MagneticsDiffSecondaryInv(mesh, model, data, **kwargs): + + """ + Inversion module for MagneticsDiffSecondary + + """ + from SimPEG import Optimization, Regularization, Parameters, ObjFunction, Inversion + prob = MagneticsDiffSecondary(mesh, model) + + if prob.ispaired: + prob.unpair() + if data.ispaired: + data.unpair() + prob.pair(data) + + # Create an optimization program + opt = Optimization.InexactGaussNewton(maxIter=5) + opt.bfgsH0 = Solver(sp.identity(model.nP),flag='D') + # Create a regularization program + reg = Regularization.Tikhonov(model) + # Create an objective function + beta = Parameters.BetaSchedule(beta0=1e0) + obj = ObjFunction.BaseObjFunction(data, reg, beta=beta) + # Create an inversion object + inv = Inversion.BaseInversion(obj, opt) + + return inv, reg @@ -337,7 +375,7 @@ if __name__ == '__main__': Btot = 51000 data.setBackgroundField(Inc, Dec, Btot) - + xr = np.linspace(-300, 300, 41) yr = np.linspace(-300, 300, 41) X, Y = np.meshgrid(xr, yr) @@ -346,7 +384,6 @@ if __name__ == '__main__': data.rxLoc = rxLoc prob = MagneticsDiffSecondary(mesh, model) - prob.pair(data) dpred = data.dpred(chi) diff --git a/simpegPF/Tests/test_forward_PFproblem.py b/simpegPF/Tests/test_forward_PFproblem.py index 1948c28b..d3f87419 100644 --- a/simpegPF/Tests/test_forward_PFproblem.py +++ b/simpegPF/Tests/test_forward_PFproblem.py @@ -30,11 +30,11 @@ class MagFwdProblemTests(unittest.TestCase): data = PF.BaseMag.BaseMagData() - Inc = 90. - Dec = 0. + Inc = 45. + Dec = 45. Btot = 51000 - b0 = PF.MagAnalytics.IDTtoxyz(Inc, Dec, Btot) + b0 = PF.MagAnalytics.IDTtoxyz(Inc, Dec, Btot) data.setBackgroundField(Inc, Dec, Btot) xr = np.linspace(-300, 300, 41) yr = np.linspace(-300, 300, 41) @@ -42,21 +42,25 @@ class MagFwdProblemTests(unittest.TestCase): Z = np.ones((xr.size, yr.size))*150 rxLoc = np.c_[Utils.mkvc(X), Utils.mkvc(Y), Utils.mkvc(Z)] data.rxLoc = rxLoc - + self.prob.pair(data) u = self.prob.fields(self.chi) B = u['B'] - bxa,bya,bza = PF.MagAnalytics.MagSphereAnalFunA(rxLoc[:,0],rxLoc[:,1],rxLoc[:,2],100.,0.,0.,0.,0.01, b0,'secondary') - + bxa,bya,bza = PF.MagAnalytics.MagSphereAnalFunA(rxLoc[:,0],rxLoc[:,1],rxLoc[:,2],100.,0.,0.,0.,0.01, b0,'secondary') + dpred = data.projectFieldsAsVector(B) err = np.linalg.norm(dpred-np.r_[bxa, bya, bza])/np.linalg.norm(np.r_[bxa, bya, bza]) + plt.plot(dpred) + plt.plot(np.r_[bxa, bya, bza]) + plt.show() + if err > 0.05: raise Exception('Anaytic test is failed T.T') else: print "Anaytic test is passed" pass - + if __name__ == '__main__': unittest.main() diff --git a/simpegPF/Tests/test_sensitivity_PFproblem.py b/simpegPF/Tests/test_sensitivity_PFproblem.py index de1a94cf..00105301 100644 --- a/simpegPF/Tests/test_sensitivity_PFproblem.py +++ b/simpegPF/Tests/test_sensitivity_PFproblem.py @@ -18,7 +18,7 @@ class MagSensProblemTests(unittest.TestCase): chibkg = 0.001 chiblk = 0.01 chi = np.ones(M.nC)*chibkg - + Inc = 90. Dec = 0. Btot = 51000 @@ -58,7 +58,7 @@ class MagSensProblemTests(unittest.TestCase): def test_mass(self): print '\n >>Derivative for MfMuI works.' - mu = self.model.transform(self.chi, asMu=True) + mu = self.model.transform(self.chi) def MfmuI(mu): chi = mu/mu_0-1 @@ -70,36 +70,36 @@ class MagSensProblemTests(unittest.TestCase): return MfMuI def dMfmuI(mu, v): - + chi = mu/mu_0-1 self.prob.makeMassMatrices(chi) vol = self.prob.mesh.vol aveF2CC = self.prob.mesh.aveF2CC MfMuI = self.prob.MfMuI.diagonal() - dMfMuI = Utils.sdiag(MfMuI**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2) + dMfMuI = Utils.sdiag(MfMuI**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2) return dMfMuI*v d_mu = mu*0.8 derChk = lambda m: [MfmuI(m), lambda mx: dMfmuI(self.chi, mx)] passed = Tests.checkDerivative(derChk, mu, num=4, dx = d_mu, plotIt=False) - - + + self.assertTrue(passed) - + def test_dCdm_Av(self): print '\n >>Derivative for Cm_A.' - Div = self.prob._Div + Div = self.prob._Div vol = self.prob.mesh.vol aveF2CC = self.prob.mesh.aveF2CC def Cm_A(chi): - dmudm = self.model.transformDeriv(chi, asMu=True) + dmudm = self.model.transformDeriv(chi) u = self.u # chi = mu/mu_0-1 self.prob.makeMassMatrices(chi) - mu = self.model.transform(self.chi, asMu=True) + mu = self.model.transform(self.chi) A = self.prob.getA(self.chi) MfMuIvec = 1/self.prob.MfMui.diagonal() dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2) @@ -109,11 +109,11 @@ class MagSensProblemTests(unittest.TestCase): return Cm_A def dCdm_A(chi, v): - - dmudm = self.model.transformDeriv(chi, asMu=True) + + dmudm = self.model.transformDeriv(chi) u = self.u self.prob.makeMassMatrices(chi) - mu = self.model.transform(self.chi, asMu=True) + mu = self.model.transform(self.chi) A = self.prob.getA(self.chi) MfMuIvec = 1/self.prob.MfMui.diagonal() dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2) @@ -133,7 +133,7 @@ class MagSensProblemTests(unittest.TestCase): print '\n >>Derivative for Cm_RHS.' u = self.u Div = self.prob._Div - mu = self.model.transform(self.chi, asMu=True) + mu = self.model.transform(self.chi) vol = self.prob.mesh.vol Mc = Utils.sdiag(vol) aveF2CC = self.prob.mesh.aveF2CC @@ -143,45 +143,45 @@ class MagSensProblemTests(unittest.TestCase): def Cm_RHS(chi): self.prob.makeMassMatrices(chi) - dmudm = self.model.transformDeriv(chi, asMu=True) + dmudm = self.model.transformDeriv(chi) dchidmu = Utils.sdiag(1/(dmudm.diagonal())) Bbc, Bbc_const = PF.MagAnalytics.CongruousMagBC(self.prob.mesh, self.data.B0, chi) MfMuIvec = 1/self.prob.MfMui.diagonal() dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2) - RHS1 = Div*self.prob.MfMuI*self.prob.MfMu0*B0 - RHS2 = Mc*Dface*self.prob._Pout.T*Bbc - RHS = RHS1 + RHS2 + Div*B0 + RHS1 = Div*self.prob.MfMuI*self.prob.MfMu0*B0 + RHS2 = Mc*Dface*self.prob._Pout.T*Bbc + RHS = RHS1 + RHS2 + Div*B0 return RHS def dCdm_RHS(chi, v): - + self.prob.makeMassMatrices(chi) - dmudm = self.model.transformDeriv(chi, asMu=True) + dmudm = self.model.transformDeriv(chi) dmdmu = Utils.sdiag(1/(dmudm.diagonal())) Bbc, Bbc_const = PF.MagAnalytics.CongruousMagBC(self.prob.mesh, self.data.B0, chi) MfMuIvec = 1/self.prob.MfMui.diagonal() - dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2) + dMfMuI = Utils.sdiag(MfMuIvec**2)*aveF2CC.T*Utils.sdiag(vol*1./mu**2) dCdm_RHS1 = Div * (Utils.sdiag( self.prob.MfMu0*B0 ) * dMfMuI) temp1 = (Dface*(self.prob._Pout.T*Bbc_const*Bbc)) dCdm_RHS2v = (Utils.sdiag(vol)*temp1)*np.inner(vol, v) dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v - + return dCdm_RHSv d_chi = self.chi*0.8 derChk = lambda m: [Cm_RHS(m), lambda mx: dCdm_RHS(self.chi, mx)] passed = Tests.checkDerivative(derChk, self.chi, num=4, dx = d_chi, plotIt=False) - self.assertTrue(passed) + self.assertTrue(passed) def test_dudm(self): print ">> Derivative test for dudm" u = self.u Div = self.prob._Div - mu = self.model.transform(self.chi, asMu=True) + mu = self.model.transform(self.chi) vol = self.prob.mesh.vol Mc = Utils.sdiag(vol) aveF2CC = self.prob.mesh.aveF2CC @@ -193,11 +193,11 @@ class MagSensProblemTests(unittest.TestCase): return u def dudm(chi, v): - + chi = mu/mu_0-1 - self.prob.makeMassMatrices(chi) + self.prob.makeMassMatrices(chi) u = self.u - dmudm = self.model.transformDeriv(chi, asMu=True) + dmudm = self.model.transformDeriv(chi) dmdmu = Utils.sdiag(1/(dmudm.diagonal())) Bbc, Bbc_const = PF.MagAnalytics.CongruousMagBC(self.prob.mesh, self.data.B0, chi) MfMuIvec = 1/self.prob.MfMui.diagonal() @@ -207,21 +207,21 @@ class MagSensProblemTests(unittest.TestCase): dCdm_RHS1 = Div * (Utils.sdiag( self.prob.MfMu0*B0 ) * dMfMuI) temp1 = (Dface*(self.prob._Pout.T*Bbc_const*Bbc)) dCdm_RHS2v = (Utils.sdiag(vol)*temp1)*np.inner(vol, v) - dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v + dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v dCdm_v = dCdm_A*v - dCdm_RHSv - m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(1/dCdu.diagonal())) + m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(1/dCdu.diagonal())) sol, info = sp.linalg.bicgstab(dCdu, dCdm_v, tol=1e-8, maxiter=1000, M=m1) - dudm = -sol + dudm = -sol return dudm d_chi = 10.0*self.chi #np.random.rand(mesh.nCz) d_sph_ind = PF.MagAnalytics.spheremodel(self.prob.mesh, 0., 0., -50., 50) - d_chi[d_sph_ind] = 0.1 + d_chi[d_sph_ind] = 0.1 derChk = lambda m: [ufun(m), lambda mx: dudm(self.chi, mx)] - # TODO: I am not sure why the order get worse as step decreases .. --; + # TODO: I am not sure why the order get worse as step decreases .. --; passed = Tests.checkDerivative(derChk, self.chi, num=2, dx = d_chi, plotIt=False) self.assertTrue(passed) @@ -230,7 +230,7 @@ class MagSensProblemTests(unittest.TestCase): print ">> Derivative test for dBdm" u = self.u Div = self.prob._Div - mu = self.model.transform(self.chi, asMu=True) + mu = self.model.transform(self.chi) vol = self.prob.mesh.vol Mc = Utils.sdiag(vol) aveF2CC = self.prob.mesh.aveF2CC @@ -242,11 +242,11 @@ class MagSensProblemTests(unittest.TestCase): return B def dBdm(chi, v): - + chi = mu/mu_0-1 - self.prob.makeMassMatrices(chi) + self.prob.makeMassMatrices(chi) u = self.u - dmudm = self.model.transformDeriv(chi, asMu=True) + dmudm = self.model.transformDeriv(chi) dmdmu = Utils.sdiag(1/(dmudm.diagonal())) Bbc, Bbc_const = PF.MagAnalytics.CongruousMagBC(self.prob.mesh, self.data.B0, chi) MfMuIvec = 1/self.prob.MfMui.diagonal() @@ -256,47 +256,47 @@ class MagSensProblemTests(unittest.TestCase): dCdm_RHS1 = Div * (Utils.sdiag( self.prob.MfMu0*B0 ) * dMfMuI) temp1 = (Dface*(self.prob._Pout.T*Bbc_const*Bbc)) dCdm_RHS2v = (Utils.sdiag(vol)*temp1)*np.inner(vol, v) - dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v + dCdm_RHSv = dCdm_RHS1*(dmudm*v) + dCdm_RHS2v dCdm_v = dCdm_A*v - dCdm_RHSv - m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(1/dCdu.diagonal())) + m1 = sp.linalg.interface.aslinearoperator(Utils.sdiag(1/dCdu.diagonal())) sol, info = sp.linalg.bicgstab(dCdu, dCdm_v, tol=1e-8, maxiter=1000, M=m1) - dudm = -sol + dudm = -sol dBdmv = ( Utils.sdiag(self.prob.MfMu0*B0)*(dMfMuI * (dmudm*v)) \ - Utils.sdiag(Div.T*u)*(dMfMuI* (dmudm*v)) \ - - self.prob.MfMuI*(Div.T* (dudm)) ) + - self.prob.MfMuI*(Div.T* (dudm)) ) return dBdmv d_chi = 10.0*self.chi #np.random.rand(mesh.nCz) d_sph_ind = PF.MagAnalytics.spheremodel(self.prob.mesh, 0., 0., -50., 50) - d_chi[d_sph_ind] = 0.1 + d_chi[d_sph_ind] = 0.1 derChk = lambda m: [Bfun(m), lambda mx: dBdm(self.chi, mx)] - # TODO: I am not sure why the order get worse as step decreases .. --; - passed = Tests.checkDerivative(derChk, self.chi, num=3, dx = d_chi, plotIt=False) + # TODO: I am not sure why the order get worse as step decreases .. --; + passed = Tests.checkDerivative(derChk, self.chi, num=2, dx = d_chi, plotIt=False) self.assertTrue(passed) def test_Jvec(self): print ">> Derivative test for Jvec" - mu = self.model.transform(self.chi, asMu=True) + mu = self.model.transform(self.chi) d_chi = 10.0*self.chi #np.random.rand(mesh.nCz) d_sph_ind = PF.MagAnalytics.spheremodel(self.prob.mesh, 0., 0., -50., 50) - d_chi[d_sph_ind] = 0.1 + d_chi[d_sph_ind] = 0.1 a = self.prob.Jvec(self.chi, d_chi) derChk = lambda m: [self.data.dpred(m), lambda mx: self.prob.Jvec(self.chi, mx)] - # TODO: I am not sure why the order get worse as step decreases .. --; + # TODO: I am not sure why the order get worse as step decreases .. --; passed = Tests.checkDerivative(derChk, self.chi, num=2, dx = d_chi, plotIt=False) self.assertTrue(passed) def test_Jtvec(self): print ">> Derivative test for Jtvec" - mu = self.model.transform(self.chi, asMu=True) + mu = self.model.transform(self.chi) dobs = self.data.dpred(self.chi) def misfit (m, dobs): @@ -307,10 +307,10 @@ class MagSensProblemTests(unittest.TestCase): return misfit, dmisfit - # TODO: I am not sure why the order get worse as step decreases .. --; + # TODO: I am not sure why the order get worse as step decreases .. --; derChk = lambda m: misfit(m, dobs) passed = Tests.checkDerivative(derChk, self.chi, num=4, plotIt=False) - self.assertTrue(passed) + self.assertTrue(passed) if __name__ == '__main__': unittest.main() diff --git a/simpegPF/notebooks/Linear Inversion.ipynb b/simpegPF/notebooks/Linear Inversion.ipynb new file mode 100644 index 00000000..a71be9c0 --- /dev/null +++ b/simpegPF/notebooks/Linear Inversion.ipynb @@ -0,0 +1,546 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from SimPEG import *\n", + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Warning: Python backend is being used for solver. Run setup.py from the command line.\n", + "Warning: mumps solver not available.\n", + "Warning: upgrade your scipy to 0.13.0" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "Populating the interactive namespace from numpy and matplotlib" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### $$ Kernel(x, k) = e^{-pkx}cos(2 \\pi q k x) $$" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "M = Mesh.TensorMesh([1000]) # Make a 1D mesh from 0-1 with 1000 cells\n", + "\n", + "nk = 20 #: The number of kernals\n", + "p = q = 0.25 #: Some constants\n", + "\n", + "# Create a function for each row of the matrix\n", + "g = lambda k, x: np.exp(-p*k*x)*np.cos(2*np.pi*q*k*x)\n", + "\n", + "# Concatenate each row, and reshape\n", + "G = np.concatenate([g(i,M.vectorCCx) for i in range(nk)])\n", + "G.shape = (nk, M.nC)\n", + "\n", + "figure(figsize=(12,4))\n", + "plot(G.T)\n", + "title('Rows of G')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 2, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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GscukLEihJq8Gm3k2mLzWMFCDXP5xqriY37Kz2ZOfTxcdHcaYmTHI0BCNpk3v/mJrauRS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0sbKCJ+1gKLZDSZwdnHV28OsrojigApbdRCzx9sYyHx942dj86cXiv4L0bUJx8S7U14fDPWUD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+ "text": [ + "" + ] + } + ], + "prompt_number": 2 + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## $$ \\mathbf{d}_{pred} = \\mathbf{G}\\mathbf{m} $$" + ] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "mtrue = np.zeros(M.nC) # Create a zeros vector, here nC means: number of cells\n", + "mtrue[M.vectorCCx > 0.3] = 1.\n", + "mtrue[M.vectorCCx > 0.45] = -0.5\n", + "mtrue[M.vectorCCx > 0.6] = 0\n", + "figure(figsize=(12,4))\n", + "subplot(121)\n", + "# Create a few models\n", + "models = np.c_[mtrue, np.r_[mtrue[200:],mtrue[:200]]*0.5 - 0.2, \n", + " M.vectorCCx - 0.5, -M.vectorCCx + 0.75, \n", + " Utils.ModelBuilder.randomModel(1000,seed=751,its=20000)-0.3]\n", + "plot(M.vectorCCx, models)\n", + "title('A few synthetic model.')\n", + "xlabel('x');ylabel('Amplitude')\n", + "data = G.dot(models) #: this is matrix multiplication!!\n", + "subplot(122)\n", + "plot(data)\n", + "title('The data created by each model.')\n", + "xlim([0,19]);xlabel('Kernal Number, i');ylabel('g(i) * x')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 3, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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aoRDzoqNRR7esCCEKxjE1n3eI4ziaOqmdfPwxoKkJfPKJsiORXVER4OgIFMte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\nb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+ "text": [ + "" + ] + } + ], + "prompt_number": 3 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class LinearProblem(Problem.BaseProblem):\n", + " \n", + " def __init__(self, mesh, model, G, **kwargs):\n", + " Problem.BaseProblem.__init__(self, mesh, model, **kwargs)\n", + " self.G = G\n", + "\n", + " def fields(self, m, u=None):\n", + " return self.G.dot(m)\n", + "\n", + " def Jvec(self, m, v, u=None):\n", + " return self.G.dot(v)\n", + "\n", + " def Jtvec(self, m, v, u=None):\n", + " return self.G.T.dot(v)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 4 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# Create a model, by default this is a model on the mesh\n", + "model = Model.BaseModel(M)\n", + "# Create the problem\n", + "prob = LinearProblem(M, model, G)\n", + "# create a simpeg data object, using a synthetic model and 5% noise\n", + "data = prob.createSyntheticData(models[:,0],std=0.05)\n", + "# Create an optimization program\n", + "opt = Optimization.InexactGaussNewton(maxIter=10)\n", + "# Create a regularization program\n", + "reg = Regularization.Tikhonov(model)\n", + "# Create an objective function\n", + "beta = Parameters.BetaSchedule??\n", + "obj = ObjFunction.BaseObjFunction(data, reg, beta=beta)\n", + "# Create an inversion object\n", + "inv = Inversion.BaseInversion(obj, opt)\n", + "# Start the inversion with a model of zeros, and run the inversion\n", + "m0 = data.mtrue*0\n", + "mopt = inv.run(m0)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Warning: Parameter beta has switched to a new parent.\n", + "Regularization has not set mref. SimPEG will set it to m0.\n", + "============================ Inexact Gauss Newton ============================\n", + " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", + "-----------------------------------------------------------------------------\n", + " 0 1.00e+00 3.83e+03 0.00e+00 3.83e+03 1.94e+04 0 \n", + " 1 1.00e+00 3.78e+03 8.61e-06 3.78e+03 7.51e+02 0 \n", + " 2 1.00e+00 1.90e+02 2.66e+01 2.16e+02 1.24e+04 0 \n", + " 3 5.00e-01 1.10e+02 2.46e+01 1.22e+02 1.23e+04 0 Skip BFGS \n", + " 4 5.00e-01 6.72e+01 2.66e+01 8.05e+01 1.22e+04 0 \n", + " 5 5.00e-01 4.98e+01 2.38e+01 6.17e+01 1.21e+04 0 \n", + " 6 2.50e-01 3.05e+01 2.35e+01 3.64e+01 1.21e+04 0 " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 7 2.50e-01 2.52e+01 2.57e+01 3.17e+01 1.19e+04 0 Skip BFGS \n", + " 8 2.50e-01 2.46e+01 2.28e+01 3.03e+01 1.18e+04 0 \n", + " 9 1.25e-01 2.42e+01 2.27e+01 2.71e+01 1.17e+04 0 \n", + " 10 1.25e-01 2.29e+01 2.63e+01 2.62e+01 1.15e+04 0 " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 8.7439e-01 <= tolF*(1+|f0|) = 3.8260e+02\n", + "0 : |xc-x_last| = 2.1814e-01 <= tolX*(1+|x0|) = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 1.1490e+04 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 1.1490e+04 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 10 <= iter = 10\n", + "------------------------- DONE! -------------------------\n" + ] + } + ], + "prompt_number": 25 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "beta = Parameters.BetaSchedule" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot(M.vectorCCx, np.c_[data.mtrue, mopt])\n", + "xlabel('x')\n", + "legend(('true model','recovered model'))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 8, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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5V4S+uKWJDCvrL8PINGn+ihApUfBroVe8V7j29BpCHUNFLtekjl+Pa4JOHTsh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\nvqpEUl4S4p7E4Ub+DaSXpiO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+ "text": [ + "" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def MagInversion(mesh, model, data):\n", + " \n", + " \n", + " # Create a model, by default this is a model on the mesh\n", + " model = Model.BaseModel(M)\n", + " # Create the problem\n", + " prob = LinearProblem(M, model, G)\n", + " # create a simpeg data object, using a synthetic model and 5% noise\n", + "# data = prob.createSyntheticData(models[:,0],std=0.05)\n", + " if prob.ispaired:\n", + " prob.unpair()\n", + " if data.ispaired:\n", + " data.unpair()\n", + " prob.pair(data)\n", + " # Create an optimization program\n", + " opt = Optimization.InexactGaussNewton(maxIter=10)\n", + " # Create a regularization program\n", + " reg = Regularization.Tikhonov(model)\n", + " # Create an objective function\n", + " beta = Parameters.BetaSchedule(beta0=1e0)\n", + " obj = ObjFunction.BaseObjFunction(data, reg, beta=beta)\n", + " # Create an inversion object\n", + " inv = Inversion.BaseInversion(obj, opt)\n", + " # Start the inversion with a model of zeros, and run the inversion\n", + "# mopt = inv.run(m0)\n", + " \n", + " return inv" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 12 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "inv = MagInversion(M, model, data)\n", + "m0 = data.mtrue*0" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 14 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + " out = inv.run(m0)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "============================ Inexact Gauss Newton ============================\n", + " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", + "-----------------------------------------------------------------------------\n", + " 0 1.00e+00 3.83e+03 0.00e+00 3.83e+03 2.00e+04 0 \n", + " 1 1.00e+00 3.78e+03 8.67e-06 3.78e+03 7.64e+02 0 \n", + " 2 1.00e+00 1.37e+02 2.71e+01 1.64e+02 8.09e+03 0 Skip BFGS \n", + " 3 5.00e-01 1.30e+02 2.71e+01 1.43e+02 1.69e+02 0 \n", + " 4 5.00e-01 4.12e+01 3.94e+01 6.09e+01 2.11e+02 0 Skip BFGS \n", + " 5 5.00e-01 2.33e+01 2.06e+01 3.36e+01 6.27e+01 0 \n", + " 6 2.50e-01 1.26e+01 2.20e+01 1.80e+01 3.70e+01 0 \n", + " 7 2.50e-01 5.46e+00 2.09e+01 1.07e+01 6.26e+01 0 " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 8 2.50e-01 4.19e+00 2.09e+01 9.41e+00 6.06e+01 0 Skip BFGS \n", + " 9 1.25e-01 3.80e+00 2.08e+01 6.41e+00 2.69e+02 0 \n", + " 10 1.25e-01 3.52e+00 2.12e+01 6.17e+00 6.18e+01 0 Skip BFGS \n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 2.4171e-01 <= tolF*(1+|f0|) = 3.8275e+02\n", + "0 : |xc-x_last| = 1.5878e-01 <= tolX*(1+|x0|) = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 6.1841e+01 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 6.1841e+01 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 10 <= iter = 10\n", + "------------------------- DONE! -------------------------\n" + ] + } + ], + "prompt_number": 16 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "dpred1 = data.dpred(out)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 18 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "plot(np.arange(20), np.c_[data.dpred(data.mtrue), dpred1])" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 24, + "text": [ + "[,\n", + " ]" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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Ytd2OUaPA0VF1QsOQAmACutcOhCox7N6tOol5WJK0BB/ndrhXsqdsWdVpxJO8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\n", + "text": [ + "" + ] + } + ], + "prompt_number": 24 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print dpred1.shape" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "(20L,)\n" + ] + } + ], + "prompt_number": 19 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class MyBetaSchedule(Parameters.BetaEstimate)" + ], + "language": "python", + "metadata": {}, + "outputs": [] + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "def test(x, **kwargs):\n", + " \n", + " return x, kwargs['A'], kwargs['B']" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 38 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "a = np.ones(3)\n", + "b = a\n", + "options = {'A': a, 'B': b}\n", + "\n", + "test(a, **options)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 39, + "text": [ + "(array([ 1., 1., 1.]), array([ 1., 1., 1.]), array([ 1., 1., 1.]))" + ] + } + ], + "prompt_number": 39 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "class blah(object):\n", + " A = None\n", + " B = None\n", + " def __init__(self,*args,**kwargs):\n", + " Utils.setKwargs(self, **kwargs)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 40 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "a = np.ones(3)\n", + "b = a\n", + "options = {'A': a, 'B': b}\n", + "\n", + "BLAH = blah(a,**options)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 46 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print options.get('notthere','default')" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "default\n" + ] + } + ], + "prompt_number": 55 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/simpegPF/notebooks/MagInversion.ipynb b/simpegPF/notebooks/MagInversion.ipynb new file mode 100644 index 00000000..c09bff3b --- /dev/null +++ b/simpegPF/notebooks/MagInversion.ipynb @@ -0,0 +1,598 @@ +{ + "metadata": { + "name": "" + }, + "nbformat": 3, + "nbformat_minor": 0, + "worksheets": [ + { + "cells": [ + { + "cell_type": "code", + "collapsed": false, + "input": [ + "from SimPEG import *\n", + "from simpegPF import BaseMag\n", + "from scipy.constants import mu_0\n", + "from simpegPF.MagAnalytics import spheremodel, CongruousMagBC\n", + "from simpegPF.Magnetics import MagneticsDiffSecondary, MagneticsDiffSecondaryInv\n", + "%pylab inline" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "Warning: Python backend is being used for solver. Run setup.py from the command line.\n", + "Warning: mumps solver not available.\n", + "Warning: upgrade your scipy to 0.13.0" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "Populating the interactive namespace from numpy and matplotlib" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n" + ] + } + ], + "prompt_number": 1 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "# import matplotlib.pyplot as plt\n", + "hxind = ((5,25,1.5),(21, 25),(5,25,1.5))\n", + "hyind = ((5,25,1.5),(21, 25),(5,25,1.5))\n", + "hzind = ((5,25,1.5),(20, 25),(5,25,1.5))\n", + "hx, hy, hz = Utils.meshTensors(hxind, hyind, hzind)\n", + "mesh = Mesh.TensorMesh([hx, hy, hz], [-hx.sum()/2,-hy.sum()/2,-hz.sum()/2])\n", + "\n", + "chibkg = 1e-7\n", + "chiblk = 0.1\n", + "chi = np.ones(mesh.nC)*chibkg\n", + "sph_ind = spheremodel(mesh, 0., 0., -200., 80)\n", + "chi[sph_ind] = chiblk\n", + "# model = BaseMag.BaseMagModel(mesh)\n", + "\n", + "active_ind = ((mesh.gridCC[:,2]>-500)&(mesh.gridCC[:,2]<0)) & ((mesh.gridCC[:,0]>-800) & (mesh.gridCC[:,0]<800) & (mesh.gridCC[:,1]>-800) &(mesh.gridCC[:,1]<800))\n", + "\n", + "activemodel = Model.ActiveModel(mesh, active_ind, 1e-4)\n", + "options = {'active_ind': active_ind}\n", + "depthmodel = BaseMag.BaseDepthModel(mesh, **options)\n", + "model = Model.ComboModel(mesh, [BaseMag.BaseMagModel, depthmodel, activemodel ])\n", + "\n", + "# mu = (1.+chi)*mu_0\n", + "\n", + "data = BaseMag.BaseMagData()\n", + "Inc = 90.\n", + "Dec = 0.\n", + "Btot = 51000\n", + "\n", + "data.setBackgroundField(Inc, Dec, Btot)\n", + "\n", + "xr = np.linspace(-300, 300, 41)\n", + "yr = np.linspace(-300, 300, 41)\n", + "X, Y = np.meshgrid(xr, yr)\n", + "Z = np.ones((xr.size, yr.size))*(0.)\n", + "rxLoc = np.c_[Utils.mkvc(X), Utils.mkvc(Y), Utils.mkvc(Z)]\n", + "data.rxLoc = rxLoc\n", + "prob = MagneticsDiffSecondary(mesh, model)\n", + "prob.pair(data)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 2 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "weight = abs(mesh.gridCC[:,2])**1.0\n", + "weight = weight/weight.max()\n", + "weight[~active_ind] = 1.\n", + "data.mtrue = (chi*1/weight)[active_ind]\n", + "# data.mtrue = (chi)[active_ind]\n", + "\n", + "# data.mtrue = chi\n", + "\n", + "data.dtrue = data.dpred(data.mtrue)\n", + "std = 0.1\n", + "noise = std*np.linalg.norm(data.dtrue)/np.sqrt(data.dtrue.size)*np.random.randn(*data.dtrue.shape) #(*??)\n", + "data.dobs = data.dtrue+noise\n", + "data.std = std" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 3 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "fig, ax = plt.subplots(1,2, figsize = (8,5) )\n", + "dat = ax[0].imshow(np.reshape(noise, (xr.size, yr.size), order='F'), extent=[min(xr), max(xr), min(yr), max(yr)])\n", + "plt.colorbar(dat, ax = ax[0])\n", + "dat2 = ax[1].imshow(np.reshape(data.dobs, (xr.size, yr.size), order='F'), extent=[min(xr), max(xr), min(yr), max(yr)])\n", + "plt.colorbar(dat2, ax = ax[1])\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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1GpjiJdjvpOgvkNlZsY1jzLeV2S76WI7xt25H5vbV9bGN/+vPpfF//Zk1a5vAOJ4+t66j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izGJUwE+cRjpWOSMiLJQpI8pNw6BCZlzzvnmeEDpCzZpoLtfcHFax6JF5Pf7ZPdicnv9EhUQCY9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SgESdgQhIq5x4OxeQXdM1uxhATZrBWcUADKuNCdYLsKsDSHOncS0Ach+K/EXcfSUk6huS\nACTqDERwWzVGSyYILHQB2cQArNw0tYkBWJGLXqFskQYqsgCI77+oShKAxPGBJACJOoNOABbukFR3\nqm0hmDDd0i4GYLUgTBIxAKs0UNsYgEUhmJ0FcKTyCHdfCYn6hiQAiTpDi9QWAMQWgGUdgF0rCAsL\nIJk0UKsFYRyKQ0w8ScQA7FxAPrePe00kCHzMf4y7r4REfUMSgESdoXPTzgD4FoCqqroFYJcGyu6v\nqipUqEIhHY5qraST6QUkqgQWuZ6SjQFYkZ6oUpjch+JAMXdfCYn6hiQAiToD0YJFefyWFbUWgjim\nxqBAEWrhoWgIHqfHsl+PKMMomfoDywCzjQtIbxfNGQ/HwshKyUKxXxKAxPGBJACJasEf9nM1eCBB\nAJuPbjaNRWIRuBwuyzRPURaQXa4+IQCP01PtDCM715NdDCAZF5CVBZDuSZeFYBLHDZIAJKqF3lN7\n46qPruKOxdQYMjwZKAuWmcZC0RBcDpdlrx9hz34qU6dGBJBEGqiQmGxiAHZdSgHA7XBzjx2KhuBz\n+4TuIwmJ+oZsBy1RLWwv3o7DlYe5YzE1Juz2GYwEkeJKgUuxtgBELiCnwwkFClSoUFUViqLo46Fo\nCG6HG16X1zLDyCoN1MoF5HK4LLOA3E43d17haFgnvVDEfE/C0TBSXClC60FCor4hLQCJaqMqXMXd\nbkkAUY0A7CwA7qItcT+8oig6CdCoCwvAqgDN5XBZWgAi6yQSi8DtdAuD06FoCCmuFGH8QEKiviEJ\nQKLaELV6sCKAQCQAr8trmecvcsUQIUvOze4fjoXhcXqETdeStQBEXUh1C8Bi3jwLQScPQewiHNMs\nAOkCkjhekAQgUW2Iun3auYC8Tq9lnj9ZmEUUBAbAFaZ2FoDVgjB0HYCVBSCKP0RjUd1CYI9tIA9B\nDMDOBbS7ZLdwTEKitpAEIFFt1IQAApGAFgOwyQLiaeJESAPgCmJCAMIYQBJLQooIIBwLW2rxkVhE\nuKIY7T6qiQuoPFiOzq92lusFSNQbkiKAsWPHIjs7G71799a3lZeXY9SoUejYsSNGjx6NiopES9sp\nU6aga9eu6NmzJ5YuXVr3s5Y4rlCgcLdbEYCeq59EFpAoVROwJgCrQK5dIZjIMrHT4pN1AXHrAKJh\n+Fw+29XEeFlVEhJ1gaQI4NZbb8W8efMM26ZOnYqOHTti69ataN++PaZNmwYAKCwsxBtvvIFFixZh\n6tSpuOeee+p+1hINEjE1Bq/LK8zF1+sAbKp1rVxAVgTgUBxcbTlZC0CU5+92uG2DwDxy0a0HOwtA\nEAPQ20X7ZbtoifpBUgQwaNAgZGVlGbbl5eVh3Lhx8Hq9GDt2LFasWAEAWLFiBUaOHImOHTtiyJAh\nUFUV5eXldT9ziQaHmBqDx+kRFlTZLa0oqtYlxViAPQGIqnVr2goi2SCwyAXkdrjFFkAsLKwSBhLr\nCMv1AiTqCzWuA1i5ciW6d+8OAOjevTvy8vIAaATQo0cP/XvdunVDXl4eRowYYdh/0qRJ+uehQ4di\n6NChNZ2KxO8MNg2TgBCAqChKb7pWzToAUowFgOtqsSWAWsQA7DJ5rBaUsYsBxNQY3A5t9TS2hoBc\nFyCbxZ3MyM3NRW5ubr0dv8YEUJ3AFPtgA0YCkDgxQASapQVgVwdglwXEccUQAlCg1NgCsKsDsF1r\nwCILyKrVtKIo+rFdivF1JARQEigx7StxcoBVjidPnlynx69xFtCAAQNQUFAAACgoKMCAAQMAAAMH\nDkR+fr7+vU2bNuljEicGREFgq8Zntm2X48VeVq0ggCRiABzrJBkLgBALq9hYFYKpqppYa6AGWUC0\nW4xHXETwy15BEvWFGhPAwIEDMWPGDPj9fsyYMQPnnHMOACAnJwfz58/Hnj17kJubC4fDgYyMjDqb\nsMTxhyhrJRgNIs2dVvMYgCAITFpBAHwCIMFWkQvIas1gMi9FUbjdRK1iAKRLKa3F8/YVWQCqqsKh\nOITxhXvn3wsA3KC6hERdICkCuOGGG3Deeedhy5Yt6NChA9555x2MHz8ee/bsQbdu3bB//37cdddd\nAIDs7GyMHz8ew4cPx4QJE/Dqq6/W6wVI/P7g5doDWtAy1Z1a8xiARctmqzoAumOn1YIxdimmPDeQ\nVQzAzjUVjoYtF6un3WK8e3LV6Vfpx5GQqA8kFQP46KOPuNu/+uor7vaJEydi4sSJNZ+VRIOFSIMH\nNGJo4m1i6QKyjAFYBIGtWkHQWnxNg8AAuOe2igHYzcsuC8jOBURIT1oAEvUFWQksUS343D4A/CQA\nYgFYuYAs6wBq2AqCHFtYB5BEEBgAd25WMQAyRubFI5dkYgAiF1AgGgAgYwAS9QdJABI1gqi3jZ0L\nyHLhFYtWEFZBYFqQ1qsFIOgkCvBdQMlkAVn1IQpGglCgSAtAot4gCUCiWiD+aJ5fOpkgsNXCK1at\nIOxiACQQy8vUUaEmmsFZuHF45GQZA0jCBZSMBeBz++CP+E3jgUgAGd4MSQAS9QZJABLVQiQWQYor\nRaixprpTaxYDoFtBqNVrBUGyaXh1APRaAlbrAQDgkpNlDIBxTVU3C4jck3RPOipCFabxQCSATG+m\ndAFJ1BskAUgkDVVVEVWj8Dq9fAKI1iIGYNGXvzouILYOgM3y4Qpxxd4FxHPxsNZDTesA0txpqAxV\nmsaD0SAyPNICkKg/SAKQMEGZrOCZn54xbSf59m6nm6uVJpMGKqwDsGoGZ9MKwioGwPrprVpN1yoG\nYJFCKqxPQAwOOJDmSRNaANIFJFGfkAQgYQARVHO3zDWNhaNhuB1uYbuHYDQIn9sHFapQS69RDMAm\n2GpFALSAt1oRjIzXNAZgmUFk4wLyOD1cQg1EAsjwZAjrAELRENdykJBIFpIAJAwgwoaXThmOheF2\nuoVZK6FoSF/1S6Rp28UAklkSkhsEjlfk2rlpbGMA1VjVi92XFeK1bQVBYgAiC+Cm2Teh86uduWMS\nEslAEoCEAUSIiRYwcTs0AuBmAUWCwoVZko0B8AjCrhWEVR2AXaCW1eKr48ZJdl87C0BUBxCMBC0J\n4MddP6Koqog7JiGRDCQBSBhABLto+UO30w23U+wC8rq8XIGXbAyA2wzOphUESfO0E9J2FoBlGigv\nCEzty3OLJW0BCAjCH/Ejw5shzAI6UnWEu11CIllIApAwgAgbHgEEo2INH0gs/G61rm9N6wCSaQVh\nGwSupQXAqyImlcCifcliMVbtoEUuoKNVR9EmvY0MAkvUGyQBSBhALACexloeLEeGJwP5R/Lx5aYv\nTeOBSAA+t0/Y0TPpOoBqLgmp9wLi1QFUNwbACOpwVLwoPFkQnuzLusWStQBELqDCykK0y2hn2wxO\n1J1VQsIOkgAkDJi/fT4AvlCpCFUg3ZOODpkdkOE1t/gORAJIcaUIl3VMug7AYklI215ATB0ACVwD\nfC29OhaAFTHx3GLJtoO2cgE1TWkqtAC6NO2iXaPsFipRQ0gCkDBg3JxxAPhB4PJQOTK8GbjktEuQ\n4koxjfsjfqS4UoSB3KTqAHjN4GrRCoJ05AT4LiA2TZQnxN1ON1qktjAFXO3Ig7iIRC4zuyygSCwC\nn9vHJYBgJIidJTsBAB//9rFpXEIiGUgCkODCygLguTRUVUUwEkxYAHUZA0iyFQR3sZi4CweoXRpo\n24y2OFB+wHJfkQXgdri5WrqVC4hch9fp5QaBF+1cpH+elT/LNC4hkQxqvCawxIkNnpumIlSBDE8G\n1w0TioZ0V4lVNW9SdQDVXBLSaj0AosEDtQ8Cs4KYDQKL6gBEldNWWUBkX4/Tw7UAMjwJFxxvzW0J\niWQgLQAJAy465SIAAhdQsBzpnnRuUVQ4FobH6QHAD6ZWhauQ6k61rwMQBIGtBK1VHQBpXwEkZwFU\nJw2UPrZVGqjH6bG0AKz6DIkIIM2Tpn8WrdEsIWEHSQASBqR70gFU3wVk50svD2kZREnVAQi0YQBc\nYWqVBmoXA0i2HbTVil+AgDzUCFyK5gLiCfGoGoUCxbKVtNvJdx/RRCctAImaQhKAhAFkvV9RawIS\n5LXsucMhCBJA5gl4VVX1TB8rLRwAVyMmrSB41kG1YwDVaOlMz8syBiBwAYWiIWHhHJmXyAKIqlGc\n3fZs/bokJGoCSQASBgQjGgHw3DThmNYKwqojJ8AXpJWhSqS504QZQqSXj1VDNoBPAKQSmNdX3y4G\nYKXFE5ITuWlYAhDVAYiCwKRwTuQCIvtyCSBuuXRt1hXDuww3jUtIJANJABIGEAuA51awKmyiUzWt\nhLio1UMymTiA2AKgCYB2j9jFAAwWAjNv+rzkftCCmt7Xqg5A1O0zGNWypkQuIBIDEAWQnQ4nLjr1\nItMYwXlvnwdlsnQPSYghCUDCgGAkiKyULFx/xvWmMVJUJcqntxLiZFyUIZRMJg4ArkZMp5imuFJQ\nGa407GsVA7AqFCOtHAhYAqGtCzsXUCgaMgWoA5GApQvIKguI9EcSBdUBYNm+ZdztEhIEkgBOMqiq\nir7T+3IXfAE0rXTkaSO5fmXSDdSqJz/AD6YSgUWEHS0Mk23IBlhbAACQ4krR3VhkzlYWAOvGYQU8\nGQPMBGJyAQnSQPVcf0bIk7oJkXvJ6XAKg8BWWVM0WqS2EI5JSEgCOMnweO7jWHtoLf6x+B/ccbKq\nFy8ITLTlmsQASJCX17PHtLCKXRYQJw2UuGh4WrxVDICQGm9fOs8fMNcgJBMEpruFsoI8EAloMQBB\n9bOdBWDVaI4QWYfMDqYxCQkCSQAnGVYfXG05Thq6iVoTiGIAdmmgdIyAFfLJLK1I99xhBSLblI3e\n3zYGQLmAWG3aZAEw+ydbBwDwLReSVeV1eg1WC31NdkFgkQsoEAkAkI3iJKwhCeAkAxF2IgSjQaR7\n0rlCR3cB2aSB2gV6WSFvt7RiVI3CpYiFOEmnJPubLACLGIDJBSRw8fD2t6sDoC0IXiqoP+JHqjsV\nPpcP/oife7/IfqKFbkQuIEIAPOtAQoJAEsBJBiKwRAhGgmiV2gqlwVLTmJULiF60RdQOWiTkk63G\nBfhCnCxFydufjgHwjm3lAqItC3JdVi4gUQwA4LuAqsJV8Ll9SHWnoipcxd2XBHpF91PUW4kQirQA\nJKwgCeAEBGnMxgPRDEUIRoPITs9GSaDENEY0XpELiG7ZzKu4FRFEstW4ZJw+t6qqCEVDlpk8tIvH\nygVkigGo5hiAKEhs5wLiWgDhuAXg5lgA1D3huYH03kp2FoAgQ0hCApAEcELis/zPkPK0uV0zAPRt\n09dy32AkiOy0bJQGOBYAtTiKXRCYq7EKKm6TrcYFxJk4onMbYgA2LiCrOgDe/nbWhV0MoCpcBZ/L\n2gIg+5oa0dkEgbce3Yo26W2kC0jCEpIATkBYrRVr5QKKxqJQoSLNk8aNARBfO8+dYdcKwuAisokB\n2FoAlFAjy1QSsK4YQwxAUAhGu4BYDZ+tA2BdQMnUAQBiF1CqOxVep9es4TOLzfAsAKsg8JGqI+iS\n1UW6gCQsIQngBESmN1M4Fo6FMWHABAAwBRaDUa01gcfp0SuCaYSiIXicHmR4M1AeKjeM2aWBWgV6\nk8kCErmAyJwIrGIA1S0E46WBilxAVq0gALMLiHzX7XQLBXwyPYxELqBgJAify4cdxTtMvzMArD+8\nXlYJS0gCOBFBXvhXl79qGgtFQ2ib3takSQOJylReWiLZ1+P0INObifKgkQDsWkHQLiCrGIBdKwhW\niNsRgBV58MYjavIuIFbA27mAaIIg2j8Zs0ttZX+rkkAJmnibCF1AoWgIPrcPAJC7K9c0XuwvNm2T\nOPkgCeAEBBEIqw+Zc/7DUU3j5WmspDmZqPhItwA8GSgLlhnG7FpB0C4gVqCxufrVsQBoFw85NhsD\nqGkhWFJ1AEpyMQA2kEtSQAF+i2t2DQT22IcqDiE7PZs7BmjWnM/l0+fBgpCDaL1hiZMDkgBOQOwt\n3Ssc+/eyf+v9aVjBEIwGNQvA5bV0AaW4Ukzjdq0g2CwhenxXyS50atoJgH1FrZUWDpizcZKxAGgX\nkCkGQKWB1qQSWOQCIimggIUFYOEWqwpXId3NX5sBiLuA4sen4xgEhHCs2khInPiQBHAC4p+5/7Qc\n3126m5sQ7RIMAAAgAElEQVS3TnrT8IKSQIIAeNYDTQC8lEdTJTAltEoDpWjma5YYs8rU4VgANAFw\nLQCbZnAiIc6mgXILwSjyqE4dALG2AD4BsMtNVneN5VA0pFsYvL5O5HySAE5uSAI4gSHKAImpMW7e\nuiEIbBED4Al4mgDsslpMMQCLDCGACYjaWADVjQHQLqDqtoKoTh0Am8ppyPLh5Plbtbeg9xetsRyI\nBnQXEM8CkAQgAdQBAXTu3Blnnnkm+vbti5ycHABAeXk5Ro0ahY4dO2L06NGoqKiwOYpEXcHQZVNQ\nBNQ0pak4BuDyCv3KZN1fXkojLcR5BMJWAtPHt6oSBmppAUStLQCrVE5TGijTAsPKetD3V/ipnDRh\nci0AlckCEjTXE7mA8o/ko1vzbgCgn4cGOR+v06jEyYNaE4CiKMjNzcWaNWuQl5cHAJg6dSo6duyI\nrVu3on379pg2bVqtJyqRHFgtk4f7zrlPHANwei3dCsQC4Pn4dQuAE0OgXUA+t89Qkcy6h6rTCqI2\nFoCqqpomLci2YY/NtsCoVhooQ5rJ1D5Ytccg90z0W1WFq9A0palpOwEhgKV7lgq/I3Hio05cQGye\ncV5eHsaNGwev14uxY8dixYoVdXEaiSRAa948zTDFlYIUVwpXqNhZAKFoCG6Hm+vvptMxeWmkJMAM\nAD6Xz1D5SrtDHIoDKlRhsLVGMQBBFhDR4EWtpNk6AKsMJN49obV41m3G1j6wQvy3wt+w9ehW/djC\nOgCBCygSiyDFlaJ/ZnHNrGsM/0ucnHDZf8UaiqJg+PDh6NKlC8aOHYurrroKK1euRPfu3QEA3bt3\n1y0DGpMmTdI/Dx06FEOHDq3tVCRgTOsT9YknmiMrsKz605Nji1xApK0BoBFAVcTY2oAOerKtD2jr\nAUgIPIdT28a2c7Dy01fHAmBTSJNpBSEiJo/TU606AENWFMeNs2D7Ahz1H+XOi95f5AKKxCJo5muG\n/m3616gfUFFVEbJSsrjxA4nfD7m5ucjNza2349eaAH7++We0adMGBQUFuPLKK5GTk8OtPGRBE4BE\n3YF2vfCEuN5mmBO0LA2W6t0+yaIttGC2cgGRxmaAJuyKA8ZCI9oCSHWnGpqf0e4QIBGMJZo76ZsP\nmAPM1YkBWFUJk3G7NFBRLyBRKqeoDoAtnGPJemD7gRjdfTR33vT+TocTm4o2gQU5d9OUpjXqB9Ty\nhZZ4bsRzePiCh6u9r0TdgVWOJ0+eXKfHr7ULqE2bNgCAHj164KqrrsLcuXMxYMAAFBQUAAAKCgow\nYMCA2p5GIkmwQoYFnT7IavE3zb4JczbPAcAXOgYLgNPbnuSd82IAdhYArWmy56arZtM8aYZ9q2UB\ncFxA9PoItmmgFu4nWwKwcgHxWj3YrJJG9i84UoCNRzaCRTQmdhGJOsWyWLxrcVLfk2i8qBUBVFVV\nobxcawlw5MgRzJ8/HyNHjsTAgQMxY8YM+P1+zJgxA+ecc06dTFZCQ/6RfPzpiz9xx4KRIE5vfjoA\nswuIuC8cioOrxdNgBUdMjekCjUce/rDf4AJihQytxfvc5hiAyQVEzZ22LljyqFYMwM4FZJcGalEH\nIFqpTBQEtm2fTRFEqjuVW3ntUBy4+cybwQM5N49cthzdwt2HxYLtC5L6nkTjRa0I4PDhwxg0aBD6\n9OmD66+/Hvfffz86dOiA8ePHY8+ePejWrRv279+Pu+66q67mKwHgy01f4n/r/8d9QelgrFXPfl4M\ngAbrDglHtRRQRVG4dQAGN43LXAdgcgGFEy4gel6AmXzo+EIyBEALWksLgOMCskoDtaoEtrMA2HF2\nfQQrC6Bjk46m6m4ynuZJQ3Nfc7CgyZoleju/vlxD4ORBrWIAXbp0wdq1a03bMzIy8NVXX9Xm0BIW\nIILhiplXIPSYWdASAhD5jQF+4RINVnDQxMLblyYAXjdRKxcQPS9ybloI0e6lVHcqKsOV+lh1YgDk\nHER75rmALJeEtFgTuFYuIBsLINObye2+6nQ4hRlbJH7BOzZNtumedNO+Gwo3mLZJnJiQlcCNEESQ\n8V5eennEbi26GcbYhm2WLiDGHUKKwIC4MGOLyCgNn3UBRWNRxNSYLgx9Lp8hS8guBsCmW9Y0C4hc\nFxHirAvINg3UogaB19AtaReQwAIg+/JcasRtJvodSfyCR0zk+fn4Dx+jc9POpn1pgkgmoUOi8UIS\nQANFJBbB0aqj3DEiLDO8GaaxYESzAJ4a9hRapLYwjLEdOXlVoBeecqE+Lmq7TCpTaeFAisgAcxCY\nkAPJt/e5fAYXEBsD4LWLFrlLqhMDAIxCnHUB8dJA7ZrBEQJJJgvIYAHYZAHR5+ZZVPSCMCILwOVw\nIcWVYloGlFyD6Bmgfwt2qUqJEwuSABooJv84GS1eaMEdK6wsBABkeMwEQFbtssodB/j964d0GoJ/\nDPoHAGsXkKIopnGr5mb0GGAWeGwMgCUfK3dJbSwAuywgE3lUIwuIrMtM9jfFAOyygKhxXm+lZFxA\nLofLRLbk2AC/vgCATtQATOs+SJxYkATQQLGzeKdw7PmfnwcA3eVCg8QAuNWjTMsFXvdKOkhMCx12\n4RVWo7VyAdHxAcAs8NgYQHWWjKxODIAcmwhAngvIarUx3mI0IgEfiobgdDiNbrNYNbKAqGvmttZQ\nE4vCs9YYuTanw8m1AMj9IXEQFvT9qwjJPl4nMiQBNFAkU7zTOr21aRuJAQh78jsSbgWrRUgyvBmG\nl99EAEwcgBbyrAZPkwPAsQBgtgDYfHyRtswSgNvhtlzViz62XRYQSx4sKVaEKvQ4DCFEIogrQhVI\nc6cZ5sX2ArJbQ5m2ANgYwJzNc6CqKhRFMRWozdwwEwfKD8Dj9MDn9pncOORcvVr24rqASIDeoThM\nwWcCZbKCt1e/zR2TaDyQBNBAkUwq3rdbvzVtIzEAUfGQVQdKOu2xibcJSgOl+hjpA0TAWhC0m4f1\nLZtcQDYWAKuJ09pwdV1ArBuHFqY8F4/Vvqc1O03vzwNo7hHihlMUxWAV0eQAWLeDrq4FQGJDpACM\nvV+kMjjTm4kUp9kCiKpR9GvTDxneDK4FMPKDkQCA5r7mJvcRjV/2/SIck2gckARwnFARqrD0r87K\nnyUc69SkE4Z3GS48boY3wz4GwOlBT2eeZHozURo0EgDrAjLEACgtn40v2FoATBaQqW1CNSwAOxcR\nLUy5LiA28O1IXHNWSpZBIy4LliHTm6n/TZNqZbjSQABsoVhFqMKQBRSJRQxunHnb5gnJmmj0N/a+\nkXvNdPaQyAJwOVzcnk4A9N+9R8se3JXhCAGxxWk0LphxAW6ezS9Sk2g4kARwnDDwrYE4+82zuWN7\nSvcI99tbuhe7S3frhVEsSgIler9/qxiA3ULkaZ40g/ZHFownYAUaawGIAsQAxwJgsoDoJSdVVbVc\nSyAZAqCFvMECsHMBMRYAe8/Y2AY9zloArLDdVLQJpzU7DUAi62b5vuX6eGW4Eiv2rzDNmVxTxyYd\ncUrWKQA0l83sgtn6OG2V+Fw+bgzAqTi5BX00eK4nABj63lAAsLQOft77s6wkbgSQBHCckH8kX1iS\n//WWrwHwl/IjQoGkeLIvaEmwBE29TbkxAFoTZ10SgFGYssHDilCFIeuoS9MuhvmzMYANhRtQGao0\nnRfgV+TSQpo+twoVChQ9M6XaLiBGyNMWAC9F1CoGYJXJw45XhCqQ5qFiAIyw9Uf8aJXWCgAM7ahp\nkHmyLiCW1ADgjq/v0D+3z2yPkadpbpwUVwo3C8gqg4hAtDb04YrD+nGsQGcTSTRMSAI4jlDAf0Ga\n+Zohw5OBU5udahojbpjnLnwOAExBOoMFwLygdL8e0SpURKDxCIDWaFumtTTECAwuoLhwWntIqxIn\nbaYJeBW1tCCmz02amon2/ev8v+rnATjWB0M+tFZrVwjGur3YfHy2ToBeCY0bAxAEzQEgp12O6fd6\n5IJHTHMGzKQGwFSf0MTbBIB58R0gEV8QuYAGdRyEuwfcLbQAyLlFcSqyD28lMomGBfkLHUeIXpDS\nQCly2uVwF2YnAquJtwk6NuloiiMQAuDFAGihw2teRgs8OwJg/fSsC4icg4wZ0kCrYQHQK3bx9gWA\ngxUH9c92Qpx2L9m1g7ZyAdGN9QhoYUt3MLW7X4BGbLQQ9zg9+opePOKh5wXA5FKjLTk2BqA3iosT\nKyvI0z3puKzrZVwLIBQN6fdbZAH8VvgbALGCI9FwIAngOELUlMsf8aNJShMuAajQAoVelxcZngxr\nC4B5semeOjM3zMQjix4xjNNCyZYAnOI6ALr6lR0DamcB8NwWVlo8K2i9LnEWECuk6SwfwFiQRbRo\n2s2R5k7TU2dZUmPvF2sBOBSHfk9UVTVkXbHN9Vi3F2C2AESWHHvdvDgAqeoWdXUlEFkA5J5IF1DD\nhySA4wiRBRCNRZHqTuWa58FIEKO7j4ZDcSDDm2GyAIr9xZoFwIkB0C6gRwc9qgcR9WNTgjrNnYYi\nf5E+ZhfUpAUtnd7IjpHtVhbAwh0LcdPsm7R7wVoAnJx5Whi2z2xvSNVkLQCv06sLMdYF1Dy1OY76\nj+rZOKXBUjRJaaKP0xYA6/8HNM2ZNKrjkYvhfkXFVpFe5CWoA6Cb0BEQxQAwZnPx6j2O+Y+hma+Z\nfn82HDY2fyP3jGcBsPUZPBDNX1oADR+SAI4jRAQQiUWQ6k7lWgC05ki7MwiIBZDiSjGkcQJGC6BX\nq15ok97GME4L6jOzzzSsNGVnAdDzIkKCCGrWHWJnARRVJYiHVyXMCh5633aZ7fSlFIFEawwCQxCY\ncQGle9KhQNGtqtJAqSnNkwhidhUzsj8hZLsAMptVRbuA2H2TCQLToGMTvHTfoqoiQwvpST9OMoyT\ntaF5LShYS8QKMgbQ8CF/oeOIqnAVt5grEovA5/LZEgAviEcI4IxWZ2Bz0WbDmD/s1/dNdafi570/\nm1o20O0c6GPbWgCU9UCECxHU/ojfSAA2FgANVtN2Kk6oqmoQPqI0T+JKYS0AkQsI0KqrD1Uc0q+J\nTrdltXTWAmid3hr7y/dzj21qkMfERWgXEN15lZ0zwHcB0bBbp+Co/6ihUSBLZAYLIGKOARCQnlQs\nCoq01QB5LqBQNIRTp5iTGySODyQBHGdcPvNy0zZiAfgjfnyz5RvDGJ1Rw/PfEgLwurzcRVuIQCMC\nlGi7pGWzqLulP+I3CCxTDICyHtI8aRjYbqB+DtYC8If9mLdtnv43TxATsI3iFEVBkxRjlbJVoZfT\n4TRoolaFYACQnZ6tpznyUkyJkOZZAJ2adEoQAKvFc/ojidxidI8hwPxb8LKAaNBBYF66b1FVkZEA\nGCIzxAA4QWCCHcU7uOfX3XecGMGhikPC/SR+f0gCqEccLD9ou/wez08aUSO6sF1/eL1hjPYds1p4\nIBKAChUprhSudUC7gM7KPks7V1xIEwFPtDZWwPN67ogsAMAYjGUJgF3D1soC2F+2Hy3TWhq2NfM1\nMyw6T8+LFpb04jgEKa4UXRC/nve6afH6NHdizWE6mAoYW0XwLAC6P5JVYJvMjbUAquUCEhAmoMWB\n6DmxFkCxvxhZKVmG66KhWwAWBJDTLgcuh8uwsA8A02ptLEgV8Yp9K4Tzv3fevTjmPyYcl6g7SAKo\nJ6w/vB5tX2qLbq93s/weHbwjoDVT1o/KpnLSQppo/4qicE1/w7q9Li/aZ7bXBdbRqqNonprwC/Oa\nl9GCwi6rhSaAsmCZwX00qtso0zXxOpsCwK6SXXrFLEFWSpZJyBHQmja9OI5hPC7UNh/djJkbZhrH\nKWFrtSAMzwKgewHZCXH2mh2KI9GkrpYuoEk/TsJrea8B0Ahx/eH1Bm2c/a3OaHWGYX/ST8rKBfTQ\neQ8hEoug1QutDOMfrv9Q/8yrMiYEcc7b4nXCX13xKn7c9aNwXKLuIAmgHlAWLMNZ084Sjm8s3Cgc\nA8zr2NKwigEQAgA0oVgeKkfBkQJ9vCpcpVsAZH/yQhdVFaFlakLT5i1haAiYutN19xHpfU8L20Ak\noLtpDlUcMgScu7fobhBw5aFyvXAJAF679DXDNdHaKgBk+bIMmrtI0BJBRoMVaqwFRmvqVlXGPAvA\n0GnUogkdYBbC3279FqM+1oiRdQGx5MHLAqLRr00/PDXsKQAJ7f5A+QHuue/of4cpGYAEzkVLewLA\n6O6jAcCwPCeZKwF9fQR2gWMCOq1Vov4gCaAewFuMncYZU40aF4ttx7bpmn/bjLaGMdp1wHbkNBBA\nXCiOnTNWHy+sKkSr1ITGRgt52j0EmNMHWXdIy7SWerZOJBYxpC0CWsuK0Z9oQuKo32hdsLn6bFO1\n8zqch76t++rXRKdiApoFcMx/jFuMRVs+bAYQYEwDZfcl43SlsCgFddqv0/RgMYHJBcQQk8EFxBAm\nDX/Yb2gMR66JbLPLAmqX0Q69s3sDgCForZ+bqdngtQzRXUCMBVARqsDwLsOFNSy0q699ZnvTuFXv\nIRqSAH4fSAKoB7Bpirx8fit8uelLfLX5K9xwxg2mhT7YIDD98pYGSnVNmmiIdE/6wxWHDWsI0BaE\nycXDduRk3CHNfM10Nwzr/2cRjhpdGsTfTV7y8mC5wUVEFjkBNDfNaVlGF1B2ejYOVRziapNkjpFY\nhBsDYP3aJgJggsSmIHB8XrxGZzQhsy6gTG8mKkIVOoGwFgCNy2Zehp0liQWBHIrD0J3VzgVEk0/P\nlj3hcXoM5EOfm77XBMR1pigK3lz9pmGsNGhMjeXdAwJeGwlpATQsSAKoB7APebIPPZBYhFuFys3g\nsHIB0YKYBHPZFsT0OsJWhU28IDDb94bsKxJmgzsNBmDWhsmSktFYFGXBMhysOGjyhxMBcNR/1LTw\nTYfMDthXtk+/djbdkGiu3BgA405hNVniAgpEAthdulu4ZjAvx51ukc1rI9EkpQmKqoqweOdiHPUf\nFRLAvrJ9pm2t0lrpaZdsFtBfcv6CuwfcDUATuj/s/MFAfD1a9BBaH6wFQNx5HqdHbyJHW7RlwTKD\nu44FLfR56wkn+y4ksyCSRO0hCcAGVtkKqqrC/aR5bV3272TNXiDRi11v1xsVEwDro+UFJukXqSpc\nZchrp4U8zwIwBIGZGAAd8OS5M1686EX0b9MfoWgIS/csNWmsRPA8/dPT+vEITBkxTMaLz+VDMBrU\n7/PV3a82jBNy4sUA6Cwgci4ahDx+2PmDPk96zqsPrkYgEjC5pQDGBcTJbMr0ZqI8VI7vd3yvnYtj\nNYnaK9AEwGYBnZZ1mk5kv+z9BcFo0JSBxLb2pt2I9y+4H0cqjwAA9pbthQrVQIx0QaGV5ULGAeBv\nF/zNkKpLkKw1LLIAdpfsxq8Hfk3qGBL2OGkJ4NcDvxr6r/MQjoZxztvnCLUWf8SPSCxiWr+XfYnt\nHnr65TxYrjXaeu3S17iZPO+ufVfPpGif2d6wdgDPNZCdlq1bFWxBlsEFxGltbLIAGAthwfYFqAhV\ncF1AhFxIMRorxElKJblX7Nq7OgHEzIKUrDgWiUXQzNcMf+7zZ8M40fJFMQCaNEVBYF4QnhDkkcoj\nOK/9ebj+jOtN8xJZAOQaQ9GQqVcSDV77ZcBMAPTvTBMmmS8tQK1SUMn3iba+5egWXUkgygOdksn2\nZmJRFa7Cbf1uw2ODHzNVogPAHz/7o/45/0i+8DgiAhjzyRgMeHOAcD+J6uGkJYDz3j4P5759ruV3\nyEvB82UCQNozmn+dzVlmCeOTjZ9Ynmd78Xb9czAaxFnZZ6F3dm+kuFKwr9zsDthTpgn9s9uejV/2\nJpblY4X4J9d8gi82fYHHcx/HlqNbsHzfcgMB0EKel+ZpFQMgn0sDpVwLwO1wY9WBVfr3RBYA0cBp\nYUlXxbIZMeS7kVhE6AsnWjwvBpDhzUBJoET/u3/b/uZ9o0HuvEnKbkyNwR/x44yWxmC+VRqoPk4p\nA7xKWbZxG0HTlKb6vNksIJoAyLNKKxVsS2g6BZUQIPkd1h1ahxGnjACQUGTolFt28R4WTyx5At2a\nd9MXolEmG6+RfjfeXfuuYWx3yW79+5uKNpmC7IC4wVxVuAqrD64WzkuCj5OWAJIJMpGXiH0plcmK\nqU0CDZYA/rH4H5bnoQXthe9fiHWH1wEAcnfl4rmlz+Gn3T8Zvk9e8lZprQzdQFkhTQTQmkNrcM2n\n1wCAcJnCKz66At9t+86wrykLSDFrwypUrgXwy75fsGzfskTXSY4WH1WjiYVeqGNbFUWRfbce2ypM\nhyTdM9k2EABwevPT9WZxzX3N8f7o9w3jJguAmhd5DoLRoClriswrd1euNm+OBbChcAP+9cu/LJ89\n0uzvvnPvM2ynfw82C4i+X3QGFH1NtD+ebkNBCIs8sw8sfEBfkKhT004AgDlb5ujPOM/NSBBTY7rQ\n3rTJvhEcK8zp9+jZpc8i580c0z4i8nl26bPo/9/+OFRxyJD6LGENSQAWIC8NTQDkxaKtB5YAomoU\nPVr0wDuj3uGOs6BdRnQjsy5NuwAAvtz8peH7Y/tqqZ1ssy5aSBcUANGwJvw8To9+vWwW0K6SXdh2\nbJtpTnR8YPqv0/HDrh8MwpYW0Dy/MGmKRl5Y9mUnFgA5Dj1uaIzGFEWReS/ZvQRrDq6BGnEjxvyU\nJDbCs0xapLbQ77HT4TTNm7iPeCmmRAD7w35TdTO5Z0VVRdhftl9Y3Txzw0xTYRsAPDH0CQDQXVfD\nOg8zjNPupYnzJhrWQKAJ4GDFQWR6M3FZ18v0cdYFVBwo1u8L2Y/n5ry257W4usfVeGrJU3hp2Uv6\n90UuILJGsENxoGdP7lcMYIU5+07uLdtruw977jGfjEHPN5I4uQSARkwAS9fvQ1GJeE1SO9AVuNN/\nnc5tvEYsgKP+o3oednlQE+arDq7Svzf6k9FYvHOx/jfxlxPfu6gtbujRkKFnDouXLtFeOlqIuRwu\n9GjRA4CxOyVgDNT27Am887b28zoUhy70/nxjGqri1fpupxvjvxmPrq91NZx3+XLg0IGEdfD9Ti1o\nSb+gusshGsS5b59rMtfZjqDsy00EGi/o6VAc2FmyMyFInWYLgJzj4H4XJk4EihINRHUX0FUfX2X6\nXWlXChvXADRhWRIoweHKw+iQ2cGQNXVuB430A5GAoaqagAh8FaplfyMA+NNZfzL8TZ7HSCxiatUA\nmLOy8vbn6Z9pArh97u3IaZdjODe9LvC7a99FTI0ZEgkAjdxIfyZSqa0oil4lrLsKqfbc/5fzf4Y5\nEleR/luHNYIk7wFZKIaeNw27DKH1h9fr1/3fVf81jBFyJsqWndIloaHREsCgLzpg2DMP2X5vwfYF\nSH06FfvL9gu/c9c3d5l67gAJC+CsaWfB+5QXn+V/huKKStP3AODnPT/rn3ktBGiQ3Hziy15zaA33\nmPT3AOD01043+L15C4XQ56oIaOSwOr9YF9Cffw7sjMesidbE4txzgT/frM3ti4Iv9JfLkHEUDxAS\nAmLjIKQIiG6dQIMURvFe+vx87bHcXbrbsDAKAS2MEHPh9deBZ55JjHucHr1IjTRnI6Dz8dnfCdCE\n5fvr3sd1n11n0EBLSwGnw4HBnQYjEAlwLQByLAWKZX8jq0KuaCyKA+UH9PWC6WPT94peqIYQAHnG\n2doROgvo1q9uNcy1bXpbfU7vr9PcYa+MfEXft6lXKyyMxVR9fuQZe2KYZrWQZ5BUZ5/f4XztPkQ1\nkiGE0HuqVpz26OBHAWh9nsgz+EXBF+j3337ce0JAv8OP/fAY/rfuf/q17tlvTLR4+PuHLY9lheqk\nbdP49cCvJpJr6GiwBKCc9xJWrqvEI4seMT3QBBXRY9hydItlqubqg6vhj/jR/mVzVSIAPUuFFQQH\nyw+i/3+NAcKfC7ahsIRPAMRfChBXjAvX9NT87uR/gvM7no/vbtL87asOrsLd397NPSbxMbsUF257\n5wVsPab5rom7xOP04HDlYcMqVfR1hNW4hXTgbIzqNkp3C5DbSVstBO8Tl7iqPRrbjm3TszkuOfUS\n/XvkPDzLCQCeHPYkgIT7jK1oTvekozJUqfesofHdN5qAUaBwNWniXqoMVQIxbR60G8jj9Oi59HSW\nFGAsqgpHI1BUIznTFcs0SuMJLcSdcqTqCNI9GZg3D7jkEuDuuxNEv7Nkp2VxHK+bJ3nGA5EA9pXt\nM60HzcZkzsw+E/n5wHPPAX9/6hhmrJmB22bfo12/w+jW4q0KRp6hu3PuRvvM9thXtk/XyGnLhsSM\nfl0VQzQWxeJdi3ULIFipneeZn55BZahSf1+IpaSGtevnLU0KAO+tew9/+kKzhGiLWgT6OSisLMSf\nvvyTrpTs3K3dG3IfRem0kViEG2ifunIq1hxcg5EfjIT7SXe1Uk1D0RAisQgGvDkAg2YMTnq/hoDj\nTgCX/280pq142zxwyf34euNiPLf0OWEevUNxos+0PpaNpex8/d3/0x1AXJhQ4JmQBZtUHCk1bm+X\n0Q4ADCmlOW/lYNUqFRneDLw3+j2TqRuNRfHiv5y44YbEtk1Fm7DqgPElIC+iChVv7zFbO8Q19NBC\nbWx78XZDgC4M7UF3R7U1gm/to2l/rM+cxjfx7tOEJDxODy7oeAH6t+mvC41jx4ABrQYZ6hAqQhU4\ncAAYOBDYsSNBXv/J+w+6pJ1h6uiZ7kkXm+lqwnVVGapEmjsNK1cCXbsCL75Im/l8Avhpz0+4be5t\nAICB7QaaDp+VkoWiqiJUBYOY/anRjUP3Q+KBBFQ3F23GKWln4dJLgQULgO++A6JxmTPonUHYfmw7\nt2I23ZNusOIefhgoKQGy3ZobripcBY/TY3pmiAVAUoCv9U1Hr17AI48AhTEt6Dlv1xcAgOL9Wqvn\nX34BFAVwqj4s3689n818zXB689P14zoUB/aV7cNlMy/Dhxu0Rm50cJu4wCorVSzZvQTf7/ge77+r\nPWPvvKkRwOcFn5uIFgAQ0Z5P9v3tkNlB/0wsR6cirmwGNGuVZ7G+svBT7VRqnADirjRRtfItX9wC\n35Ebd1gAACAASURBVNM+vLX6LcP2Cd9OwMvLX8b87fMBACu2aGZyMBzG059/KSQUAGj7Qkdc++H/\n0+ZZKk6RbYg47gTw7Y6v8NwXcwBo2TWr9iVcMVFV0xy8T/E1Kafi1N00pYFS/UdVVRUvL5iFlftX\n2mbgEFSEKlBaCoTjzyrdr54gpqooKuNbAFN/nQqA0nZ8RxGL8fveLNq5CIsWq/j448T+Pf7TA5O+\nm6L/vXAhcN11Cp4c9qRQyyYa5qsrXgUA/HvZv7Fif8Iaalf8R6DodMAZxtZdlfj4f5pLKRYDdu3i\n3wcSiyUE0DKtJfxhP/7YK5G/3bw5cOedCs7vcD6W7F4CAJg4cCImTwby8oAZM4DH/qG90PuPVGDn\ndvNLkeJK0fPAs9OyDWPRuDSPqTGUh8qR4c3AsmXAtm3Agw8mmoxt3lHFJQCCPq37YOEtC03bm6Y0\n1Sw/fzOM/X8u0AZm/7b94Ybm2nnz/MU4i+npR1cKe5SEoExNBSZOTHxve/F2U8XsW1e+hWt7Xovi\n0gh2bNO02X/9SxPUY067ASjshcqQHx6nB4WF2m/hjxtxJMWU3G8EE9lc+E77/RVo93n5D1koLNSI\nCQAO7vXgs/zPEI1FcfGpF+PxIY+bbxZzjQTEDalC1RWAvXHPGHlWfiv8DWXl2k386vqvEgeKE/ns\n7/fjgRfW6Zu3fXIHvr5ByzQiRLhyBfWM7DnfNKcR74/AHz79g2n7I3laDUgkTjLEOiwJlGD425eZ\nvr9oxyIASNxHCm41cU+f/elZAMCb85bh0d/GwPWkS+iJOBo8jG/XawSrRq2JrKHhuBMAAMQiiSyP\nd7/9DV/NjRfTRBKCk85F1uFIvPU3fPpn3D73dlw8djl2FxbjvmV/RM5bxjQyq/SwynAlmj7ZFkP/\n8S8AwD3z7jHPU42ZYgCGBx6UJeErxrFjwE3Xa6Z7q+c64Iety/D3RX/Xxl0BsCnNX+9LpCR+8AEw\naxaw9tBavVqW4Mt4UhDtRnhj5RsANKtg925tmxJJAzbcCDgi2LKzEp9/pL3MBw4AXbrw74Mj/kSo\nKnBdr+vgUBzYXLgD7krjDrt2ASt+8eK9tdqc/31Rwm/sdAKvvKTNTYUKxJz44QdNYOzZo5Fs27T2\n+qL0DsWBG29MxCaiSMQcyoJlyPBkICPh8sb4AeOBY6fgtc0PAkqcLDgEsG2TB5GIOQCf5cvSeu0E\nsvRrLivTiO3pJ10Ib7sAAFCw0Y31cX3ka01ewefy4WD5QU0bjSQEpc8HbNxoFBBstTAJ5C7M9eO7\nOYl9FQVQVQUI+1Bc7oe/wo3sOCcG42EXokikuFLQL3sArr6auq6QdnNUJf6+RD3IzgYq4gaWomq/\nRTgWxse/aVpHJV+PAQD4K9wGCxAAfnE8j2HvxTOTsjcgFoPh+d19UDtZqjuVIlTtCxMW3YB/V/XB\n8C7D8dK5n+C1l1P0Z5cocFWVFAF8NCdxbyYr6HLTi5Yumese/BlHXdoPReI2C39bhR/2fWf4XkyN\n4UiVVvG8bPdK03FWrEokleyPrcHN927Cx58kHqzFOxfj1CmnYurSmfCdb/RahNK1Wh7WpdjQ0SAI\nYG/GZxjxvlZ8Eo5GMXq1ph29/u33+nc2HtmI0kApPv2qHF9+E396lYRZ9t1OTRAv7HQuQmG+j6Pn\nGz2hXH0LFi8xF3bNWrUIyDiIFdFpGPfqh5y9NcviWEXCbdGpSSetkOiY5q/tfNvfsHpbPFClxHDj\njQBiboSjERwJ7sO/Zi/Af1b+Rxt3BiFQKAAk3AmOtePQLsWYpTNmDPDCC8DjlCJH4ghupxur4p6k\n4mIAqhNHMhYirFQCIY0ALieLkH1ldr05neRatZe/IlSBlevLcN94TVhui2eM/vQTUNVqMbYc02Io\n69YlBMITTwCIaQcKR2KA6sSKuGHSqRNw7bXA51+X65lJ5aUufPQR0LevRg7usOaHv+e7exCJRfDj\nYq9OTECc+JrFV5VqowXQQyFgU2IJYwBARakHJSUwYfHOxXh08aNAOKHBHzigubYmTYJuVYQC2v/5\n+ZqPH9D86/ctuE8jtijV4I7zJhH3YGUlEAgAWwo82HcgDL9yBKhqgUe1WCh27oz/3qoT247sQcid\nSGkiBHCg4gCeXfoshr03DKsPm4WXAXEhRIQ8sQzISlx7DlYhPR345BNg7Fjz7k2bKnA4NAWETcEF\nAHjLEA4bCeCu77WqaAdc+I3EQVXtCxGnFkCpqlRwYLu2GP2+Q5p7cvm+5Xjpl5eNtQX+ZobT7Tr9\nQcvL/TT9ApS6jcuf7tqnWc1lZdq/Nv9uA+cTiXNsK9UelnAkhhc+1ayBjZ53Dcf4MKsHfu6aSMe9\n8H8XYkfxDkxYdBMCF9+Gi2/egM1bjK4hSQBJYsr0MqxZl9DwSUCS9rVV9Uykeg16ZxCu+OgKXLfg\nXIz5RvP5xxS+a6QywN8OADjrA1zy/kjT5h+3aull0cydmFFyM3fXJcUzUVKVUJ02TsjHSy9BFxi7\nOzyPCz8/UxtUFSxcCECJYs4WjZxKVSqv2cWvLgaAd0a9oxPArHezsT+w1fSdhx6KC1oGMTWmv5g/\n/gig5UYcS1uGWPYaPS1PR8TsWiOC7LffgLUFpbh97u0IRgNAxItoVAt4Jq4hcZ/NZKZNYsu2CBBz\n4rnnEiPLlwP+aIJIK4o0Tbm0FPB4gNdfSgc2X4kNhRsAAFOmJAgRAMaNA/CtMXj89ttAjx7MFKIe\nlJfDhCtPv1KLI0Sovkh0nLmJ5s9+/VVtY69eiSF3VUf98yldEq9PXiIrUwexPk4/HbjqKuDpJ9zI\nLfoEqzyvAFUt8XTcsLv77vj1xVz4+y8TDMcIxOOVbNUsCyVApY3GXS8JC8BIAOWVmoU1axbwzjvi\nY/7xj+YWHgAARxhnnw1soRa7K4Zmvo0Y5sK11+qzApB4T5fnRfDiv7S53HZjItZy/8L7UAkqj7e2\nONwbaKWxUNfbJ6PTrY9yq4oB4IEX1+KhgiE1Os3Crmei5+u9DduItdVYUG8EsGTJEvTo0QNdu3bF\na6+ZMz0mHmqC6/77iGl7JCqOUC7bkwe02ghkaz/u9pRZ3O8dKhILVwCItlxn2nbQITAxX0toFtGs\nzSilCOCnxam4/37omjUAZDjjWSTxlxAtE26nID0tp3iOj4/6f4n4QNgYpMTs/wn3A4CKUjeupnuj\nUUIO4TTjlyuNvnfM+a9OAFVVwIYDGvFUBKuASAr+/OeE/5fFL78A06ebt6tKBFCdehYNABw+DKCs\nXWKDn5N5E0u8SJFIIjYDaO4xVLUw7wPgrrsATF0b/0tBRYVGIHRh0g1n3KBl+1D31qDBE9dOzPwy\nvzHJYi2HmFFY9umj/X/ggBbTQYjy2zPz//RT/vnIM/POxQlXoxfmAKc6g1pBK259EesnHNSOe+VH\nVwIAFizSBPLnn4svRT8uz6ftDOO334C33jIPQXVgs1EZR8wRvwglqlsn2HsesOIv+ndWOF+0nwzB\n/rOtx7M36B8LT3sRJWc+zf2aPxzAlGB/7pgQeXdrBBNHrLnRrayoLpSWAo9M4mgeDRD1RgATJ07E\n9OnT8f333+M///kPiorMDF/mMa+XG7GItkdhodlTuGz+KYk/jnQHfnzUMK6mcOIJIhw93fDnsaqE\nJNMF3qo79G2l0cL4p7gafjCR21xcTqWfHaaii0eMquseOqEiYkzpI+4mEVavZDS2xU8lPocYAthx\nofHvYBOjIIwL6UjLNUDUizlzjIJYR94E3GMOmQAA9qXNBZyc323hC4nPcznM0eML/eP8+Vpls34Z\nIXCFJRD/TY7EVfaM/di3TwtK0/t7kanVCVDkSGuzKI+TE8+cZ9wTBpDg5aEzgagb+fnAaXTRL+Uy\nQqUx2+jBB6ELbhrEArhuRHd9W7CKc+30sePzJnGLj2Yaj/vrmuTeIwA4cJDjp+T9njzElZWYKy4M\nHVHjNVa05uwUxyvGBouoopQExaaKn7JsnWHx2gWv/W+X9XF4qGoOV4pFAarqRLOb7sFzivi8DQn1\nQgClcXVv8ODB6NSpEy6++GKsWGHO1T8cMy+N+MEyc/ZNrbD4KWDHRbU7xuYr9Y/zChMLZJBgLFbd\nad4n7v/E1kQmws4MKrZwgNJiOK6YxBhjAbBC6es3jH8zWqhB0NAaKA/eUqyjjaNZnxrmyHOncOfI\noh3HZx2gAqRHOesmb4h32tw5FADw6qvMuIAADGPOEC6/HPo1KYqm6f/h4nhNAmUBjKS9ghVxy0jh\nKCMH+gNHE1LdZ7j0+G9ecDXwpCYkt2+nhosSQhxVnHRTzjW9+qpWmGf4HXnEFKWeIZV5rVliWX+L\neX+Cg30Mf941niNsHUm2N98/EDjcG6orzmIpJca5837DOXG3b0ln43YXpTwpguDZ3GnI2nmb4TmP\nph3gf7eiFR7ey/oM7TH63D6Au0o47oALsQGax6PK3/AXtakXAli5ciW6d0887D179sTy5Uzr5VwA\n67dr/++itvecXbeTCaVbawzBdOBzftAXH8aT4j+aA2yJR06b7jZr0gCw7F5mg30zLADAO7nAF++L\nx1kXEPvSsOS2ybjguv79vecYhQQPu4foAWQAepYMAP6+b8ZJ/ZB4/WMhrAQ4AKy+Xft/zwU12x9I\naPIUVBVAUfzFFxEXIVEHpyI04gPydSc3brqJGT98Blr7R/CPW9EGOBa3TnkuLI5gnzFDi5kg6k2Q\nIivgAaMFQJ5VAvZeWWnePqN1XFLCCNsfJgE/JZdaDcDgjkHLAuNceHGwQ33M2wDAQ6ctCQgg/xoU\nv/emtUJFYPcuCNDEl4ZIqoBUAITTd+ifN+05KvxessjNzcWkSZP0f3WN45cFNJT617mezvH9s8Du\nIdYE8Gy5lirJIvefBu3dYPbOnAs8Z2x9gGLGNcMx53WEKbfO7iHI9p4i/i4rpNiXOUpp/MF0YM04\n5gBxImrBpMgQvBHPc/ztjyZ3lwE80jsW14SDghWi3jcvm2ial3A4rn2LsioIMSzi+3fx1dt81xKQ\ncKt5+CbNWWe4jd8zISGApiRKN9CxI4CpG9CkVEBaABCMuwZ495NYjYs50X0gIfh5zxZ5DqJu4FBf\nZr9qZKZ4mR7+fmNPIvz4OLDxj6gx6Lk33WkeD2SZt7EQWQCEBN+yWOfjp3jcMRkFgoNup6Rajsdc\nCaLavO9wjc5BY+jQoY2PAAYMGIBNVE7exo0bcc454mrdesPSv2kvcZwAHEd74KF+VDoKHRvYMdy4\nL+vnpP+O+EwP6u23MEKQzrjJN65Yhe+fM/yZ4qFeii0a6egZLVHGpcO+/PSDbKXV+Dj5kEDipbFz\nkzG+78GDoQuzZk0E5yWEsnuQ+LhV/NYLemCYp+0CQEDrUSN8kdeMTWj6DC68kLtZh4v06TnSi/8F\nSgB5qUtPjf/kKeIFsyhNnUOA5Fq2XcrfNz/eUoQn0IlFEeT4nmlr47OZ4rktfgJY9Ixx25FewDP8\nnlEAgIIxhj/vuAOGmg0T6Lkvu984tnpcQqmwQv4fgA+/Nm+PW25KeQfzGEFcsXConPTWqebkEBZt\nW3CIW4Adh2tPAPWNeiGAJk00YbhkyRLs2rULCxcuxMCB5pL8muKP6VNwUWo8N/j9BcDT8Xy3gtH6\nd5S4wBoxArhllOYKcLuBey+4K3GgnZSp/v4i40mcjJ+T8nuePzChlX/5JfDf/wLN01kCoB6UT6l0\ni22XACsmGr7qdVMvxUzN7cQW02DPedr/lJC/805qHOBqrAsoJfwhXu88IpD2m3uvG6A6cWU8FHLk\nSLwGIS6wXC6BRkaE9Lu54uOKtGwSPBcQwD33QHN1bOULy2HDtN+eh2PEeBNYLmdHJwJf8VJcNDRv\nkbheOmhOyKCMkZeZtExe92dg0ygMZ/QNAMDpcaF24Gy89x5nfFNc2HKty/hz4Awa4xmA5hZ8K75w\nkNCqgeba+XU8WsbDDbrOFrKQ6Mv+avizTx+gafxnT+Upy/Tc7WJSNEhsIuYAljymWecv78bWv1Ct\nzOPKEjk/F2lakoYLjGX90h7g8Jna/xbISre2AGjsPnqSEgAAvPLKK7jzzjtx4YUXYsKECWjRgp+2\np6PI6H4Y1zoe3PzuFeCjr4DliTSTYDiKnk3iAmvHRbq23bY1tfC46kIsBnz/PfDny3sAUTfcFaeg\ndVPqbaSEOi+F0YC9ifL0ppmJh3jUKOD224GmqdTDXNQNWGnM59bxqzlg7PWYX2j25WmZHteIq1rg\nT/FOwg89BEy6vw3wrrZ+Lc/32aZN4vNTTzHZLkDC310sKA2m4PEk5jZ0KHUIhZ/SOmdWJvDBtyYh\nbiAiG39tqi+x79OUt+exxwDM/Boo7G3eCVpBW0iQrBKJAHh/IbDgBe7vfun57TiutESjvAtONXet\nzM0F7o2HgVgLoF8/jdD37QP+de0EZP/wJV9Ljle2qyrwpz/BUDthQFyLNulUB/oDB/vhq3jGaCID\nSdGEGyAmgNIOOLu/A5dfDhTGE9naUv37+gUS2jq93eD6/Hg2ejUdqD8nzZoBCGQaXZ60xcbGt+JK\niF6T8fkHOHNFHsKPhbH4ujXM/gpQ2hGnNU+c/9KR2n2JRAD8/ICeQGBA/rXAnDfhhvE+bF4ZtxpE\n7rJl9wIfz0bzTKMF8I9eVCHFtksMY1HfSUwAQ4YMQUFBAbZt24Z7RDmCAPqXxtMUmUyQ5l4tE6N/\n9B5g81XAD0/qY4FwENmZmob/4YcA0X7uuzBRwKWoLmNfmxcK0fbnWVAUBZ7SuGuAchHckcjk1JCf\n6DvSvDmw+fV/oWVIe0B5DebGjcyBQjSl1zcBKycYqiwHFWvZDc2PjDHt6/UkfobW8fhcOqMckZcK\ngSZ47z1g/37glFOAsWMVYNdQbSycil69gDOoVHVaGLndWiUuDTfiD7RIy6NeUpcrcUyHI1FpWlls\n3HfMGOCss4DLL1d0d0Yrqrvxc88BF1wAYPb7wByxpg0A7VtoWvqiRcDf/57YnmmTZaeqxrqLrCzt\nGEA8PXLHhehzekvT7z59ukbqf/sbZy7xhrI9otcBk4xWT6tWcYEH6FXP5Pcn1dXt2mnpnocOAZfG\nDZerrgJuJo/tUqOJxqsuxr6BepB38GDo1cQA8O3Vy7Dg5u/h8WhuroXxNkhXXw3dcrznbgHhVrbE\n8uXA3Lnanzt3GgvrxrS+H/hCM0sMGnZ5W2BvfHGkTWPgVJz69WZlAZi2DsrUxNq/j/xd1dtroLIV\n8B5lecfTqcl9xoabkF46AC6HC8OGAelffQPM/BoDBmjpscXxeLWjUEtCIPd/1iwAC19A+hoqWE2S\nNKqaA6tvQ1svlZEFrVjvvPNgUEhaBaieRCVdgE1j0Cwz8T7MGLIYbVMolxXVwgIApt7K7/LbkHDc\nW0F8O3k8AKBNSyMje+IViIsXKXj2WaBJekK790cCuLTXIOCzj3D11ZrAAYAhXfvDVdEZAPDI+Y/p\n3+/SBUCgKZ6ZzGgcZfwW0VjxF8x/+1wsXKi5C/bv1x6QwqdX4Jomz+Pxu7ujbVtNoyZokZmOHhFj\nMHnKlITWOOkPN+LtEXMMBVEELkop6h+vSyEuoGHxSnRFdQEvHAYhO6KFtWgRb+0w/Vdg5tdQVWAD\nlXjh9QKoagaUahqOx2O0dqa9nIUfhphdOHpb6LjGdeaZwKC4K58IptRUAC8cRk4r4+pVs2cDa9dq\n3yOujqVLoZ9fUbRWEg9cfAseuWFYYp5giote24SuZZrFRI4TCmmtGTyMC7dz58TnK64Arr9e6xz6\nZjxr95prtGP4/UCHDsCtt0Ir4mNwQTx+++yzmiB/+eXE2MCBGnmRvkOffWbcl5B3RobmnnskHm90\ncpTKO+9MXM//SG3fGmNfhssuA4YM0eY9e7ZWbIe3lgPztJzYaDRuCcVx6SVuXDRCe08WLtTuyfr1\nQLdu0H/HLp1cuMbYnRz49350WrIQTmeivUPnzsZ5//3/2qBwoWZ6ktTXtaTejrLw0tMTisG8eQBK\nOqOtrwuuXKNZ230HBHXrp6BAAXbGf1gq/fSzzzQrZNo0reUJgXvXZcCOi6Cq2vNCiGj2ZcuB9xdg\nyhRtTpdcot3Xl56ntPXKbCDQBH++Sku4+HXSVLBYuhTYt7U5MFMT5G2hvYypKx/D89eMx4gRQPvm\nidhf97bt9MaFALB/rzEexW2j0cBwXAnglZw5aJWh0XbTsDHg1ryJ9pRlZmra2IG9XmCfpoEHIn70\n6e1G2S/XIyVFezkArcd5iqr9QLefe71+rFNP1QTqH5hmglu3ai/4bCbzdMylzXDxxZoWlZVlDPTN\nuvchDDzbg/37gX8w2XAKdTudTiAtDbjlFq3F8pDz0jD2giu5Lgfyor166hZduESjmqAhWmsUYaCy\nFfLzjfv6fHGN9mB/oLSTThwPP0zuCfBxv6MYsyvh27zjDk3T++YbTUul3TkPxkMrsRjw66/QBce6\ndYnKVhpqRSssmK/gr381jwHaQi2PPqq1ct61y9iv54UXEmmURFiOG5dwQUy4rhseuM/4UrndCc20\nbzzZ5aGHEo3kAO3abrtNI6zbtK7QIB5IYhHNmEFp3hToiuGcnIRbx+PRCO/hhxPkyz5POTnAwfhK\njdOmJVwwXE0+DkN1+NFuBsuiVy/NtbRokabknHuu8VqiUTMRsujd2xiUJT1+CJo3B1DeFkrAXOBG\nKyYOB/TYAHle09PjQj6evbR7t2b5XXGFppS0bavFi9asAc4/Nx4vcjr0a+7WDfj2W+CmU+7Fun9+\nhNJSjdz79dPOdeedca08DvJusG1HrhiZgt/mXIRmzaB3b3W7gSapCYXP4wHwXAnUeD1FZmoKIo9F\nsPjGZXjlfK3eRVHiVsSOC9F860Skxxfdqfz6CTz0gBvffw9kpDvQukRLtT6na1cDAWS3SvzQ2d7O\npvvZEHHcGlfMuX4uRp4W95lNUtHpvs9BijXP9P8fBpx2KkAtlOVLcWDuqBW4cpWCtq21aRv8qO/k\nIntcGzx26Z14eOn/b+/+g6Kq+z2Av3clhG4OOSrC8xA/YomFEHYVXXy8oHID0iBKx1l0rj1X4Jnu\nGmYiZuOQl+zmaNgk1q2kJJ8pvdTcaiILJHQW8Ac/GsqSX14NMuYxRLwJPLDKj8/947i/YHddYNnD\nM/t5zewoZ/fsee/Z3fM553u+57v/Djc3690M9T/RKJMZv+B6vtII/Ldml4W57s30px9N955Wm/Qm\nTU+/O5aNCTc3AKdfxb9lP4zhLmFs+cJC88G2SHoHx45ZGO/mrh9/FPbS9fPs2ycMueDtDajVws1U\ncrLl59GfeyASjkZUeWfQ8dsA8B/WRxB1dzduHGSjOnGoVMa26tHNT4BQnLduFdaJPvu8ecLGzXRk\nUkuqqoDubpMmAysuXBiby9SCBeZHTaOtXm1+LiUrC8JAfyb0G2IfC13sLR0B6Fk7T2HNmjXCRm7R\nImDxYvvmMf2e6Nfxyy8Dr74qHCVt2mR5Hetzjz5q1W/zbt8W9rZTtFtQ/mOE0A0WQvHT0xerbduA\nl3yuIHTdw/jjH4UBASUSoSlsFYyHWbaa9vSFY/TIrzNmmI/XpPdPHsbquGIFofy0cG5F//2bIZ2B\nlSExWBli7KHo6QnQoCeAg1i5Z7fFSw7ukwp7hBKJxDhywZ37IZUCT908gz8t8MWOTBtdu6cTEsHo\nxf7tb0QvFn1ByAMhDxS5c4vVeRuvN9Lf7/zdwnMSdXQI/3+5/D9peGTY6nM8rP4vQkrm2OfIA+0o\n+szOVzHWgp3PCa8BRPffb/1xAFFhofAvQKTR2H5e5IG8c/7lnssHiFasGGfouyIihPnr64V/jxwR\nput0RP39957/55+JMjOJenomtnxHKCsTso/XZ58J8/3lLxNb7qVL1u8DiFJSrN8XHW38v7e37eey\ntQxbr/v8+buPyQO99WW1YXprK9HQkHCfv//Y+aqqiHx8xi5r4UKit94iunNHmDYyQjRs/etmNu+F\nC3a8ICukUuE5lEr7Hl/TetmwTXl8zwEChHVhr7LmSnr4QMSY6UHb/5WQJ6zwNz+vMnznncHRm+xp\nMXSdry9wZ8jYI4esXekHIHxeuMXpSUnGvY09CbavVKx9e7PVYQ3I1hjN92TcZZ9po3PLqVPCoW1s\nLDB//j36Td815//GjmA62uefW94TskdaGnD2LBB9d4QKfVOIrddhKijI2N4uFpvd/2zQjzRaWGj7\ncdaEhNi+31oT0F//KhwBAUJbf2rqvZ/Lkj//WegQYE1MjFAi/rThNNZvMbapPGLS8c7Sxz421tik\nZWp4WDgK0pNIMOa3LawZ7xGPKWtNQNYskgVg19I9cPs5GZmp4fDfbdxG2CNJHocr8rGHhqZNS1kp\n/4yZdAGayWw2RDQtCgAAxP/haRzM/RHYHIkAHzu2iKOUjWMIoblzx/dBsNeDM4zH/wtt/L61/oSm\nXG79MWb23MGCdfd+q54e28HIbqbnMyZVA0W0ZInQ3jxe1pq2HMVaO72+Oy8gtPVP1NGj9j3u3PGV\nFqc//bR5MbgX06G5x2uehSGQ7PXII0I3Zns/n25SN7yWaDxLrtPZv0NjS+n2fTj3v8Kb5+YmgWZN\n5OSfVCQSmtwu78QWKpGM2dMmEtoaO4da4e/lb/a7pE7L9YoEOQ/9D/LTx/70nD1+7xlEXWMXIgL+\ngFmz7Nuzt0d8PJCdbb3dnk1fNTXC3rlpN9h/ZL6+QGIiLF+oNsX6+oQLG2Uy4XyXK7K07ZzU802X\nAjAd5B37GjlrEvCA5/TvvsWYGAYHhSYtWye22dThAsAYYy7K0dtO0S8EY4wxJg4uAIwx5qK4ADDG\nmIviAsAYYy6KCwBjjLkoLgCMMeaiuAAwxpiL4gLAGGMuigsAY4y5KC4AjDHmorgAMMaYi+ICwBhj\nLooLAGOMuSguAIwx5qK4ADDGmIviAsAYYy6KCwBjjLkoLgCMMeaiuAAwxpiL4gLAGGMuigsAONfz\noQAACN5JREFUY4y5KC4AjDHmorgAMMaYi+ICwBhjLooLAGOMuSguAIwx5qK4AJjQarViRxiDM9mH\nM9lvOubiTOKYcAHIy8uDn58flEollEolSktLDfcdOnQIISEhCA8Px5kzZxwS1Bmm4xvOmezDmew3\nHXNxJnG4TXRGiUSC7OxsZGdnm02/fv063nnnHZw6dQptbW14/vnn0dDQMOmgjDHGHGvCBQAAiGjM\ntNraWjz++OPw9/eHv78/iAi9vb2YNWvWZBbFGGPM0WiC8vLyKCAggFQqFe3bt496enqIiCg3N5fe\ne+89w+PUajVVVFSYzQuAb3zjG9/4NoGbI9k8AkhISMBvv/02Zvprr70GjUaD3bt3o6enBzt27MDh\nw4eRk5Nj8ahAIpGY/W3pMYwxxpxLQg7YGl+4cAGbN2/G2bNn8dVXX6GiogIFBQUAAIVCgerqam4C\nYoyxaWbCvYCuXbsGABgaGsLx48exevVqAMCSJUtw8uRJXL16FVqtFlKplDf+jDE2DU34JPDOnTvx\nww8/wN3dHXFxcdBoNACA+fPnQ6PRID4+Hu7u7jh8+LDDwjLGGHMgh55RsENlZSXJ5XKSyWR06NAh\npy336tWrtGLFCgoPD6fly5fTsWPHiIiop6eHnnzySXrooYcoNTWVent7DfMUFBSQTCajsLAwqq6u\nnrJsQ0NDpFAoKDk5edpk6uvro2eeeYZCQkIoLCyMampqRM9VWFhIS5cupYULF9LWrVuJyPnratOm\nTeTt7U0RERGGaRPJ0NTUREqlkoKCgmjXrl0Oz5STk0NyuZyUSiVt3bqV+vv7nZrJWi69AwcOkEQi\noe7ubqfmspapqKiI5HI5hYeH04svvih6psbGRnriiScoKiqKkpOTqampaUoyOb0AKBQKqqyspPb2\ndgoNDaWuri6nLPfatWv0/fffExFRV1cXBQUFUU9PD+3fv5+ysrJIp9PRc889R/n5+URE1NnZSaGh\nofTLL7+QVqslpVI5ZdneeOMN2rBhA6WkpBARTYtM27dvp9zcXBoYGKDBwUH6/fffRc3V3d1NgYGB\n1NfXR8PDw7Rq1SoqKytzeqaqqipqaGgw+7JOJMOqVauouLiYbty4QcuWLaP6+nqHZiovL6fh4WEa\nHh6mzMxM+uCDD5yayVouImFnLCkpiQIDAw0FQMx19dNPP1FMTAxdunS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+ "text": [ + "" + ] + } + ], + "prompt_number": 5 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "inv, reg = MagneticsDiffSecondaryInv(mesh, model, data)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 6 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "m0 = (np.ones(mesh.nC)*1e-4*1/weight)[active_ind]\n", + "# m0 = (np.ones(mesh.nC)*1e-4)[active_ind]\n", + "\n", + "reg.mref = m0*0." + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 7 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "dobj = inv.objFunc.dataObj(m0)\n", + "print dobj\n", + "print model.transform(m0)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "550874.334999\n", + "[ 1.25676273e-06 1.25676273e-06 1.25676273e-06 ..., 1.25676273e-06\n", + " 1.25676273e-06 1.25676273e-06]\n" + ] + } + ], + "prompt_number": 8 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "data_ini = data.dpred(m0)\n", + "colorbar(mesh.plotImage(model.transform(m0)))" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stderr", + "text": [ + "C:\\Users\\SEOGI\\AppData\\Local\\Enthought\\Canopy\\App\\appdata\\canopy-1.0.1.1189.win-x86_64\\lib\\site-packages\\matplotlib\\colorbar.py:808: RuntimeWarning: invalid value encountered in divide\n", + " z = np.take(y, i0) + (xn-np.take(b,i0))*dy/db\n", + "C:\\Users\\SEOGI\\AppData\\Local\\Enthought\\Canopy\\App\\appdata\\canopy-1.0.1.1189.win-x86_64\\lib\\site-packages\\matplotlib\\colorbar.py:561: RuntimeWarning: invalid value encountered in greater\n", + " inrange = (ticks > -0.001) & (ticks < 1.001)\n", + "C:\\Users\\SEOGI\\AppData\\Local\\Enthought\\Canopy\\App\\appdata\\canopy-1.0.1.1189.win-x86_64\\lib\\site-packages\\matplotlib\\colorbar.py:561: RuntimeWarning: invalid value encountered in less\n", + " inrange = (ticks > -0.001) & (ticks < 1.001)\n" + ] + }, + { + "metadata": {}, + "output_type": "pyout", + "prompt_number": 9, + "text": [ + "" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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YMIL8/DL27v3V4vKWl1cQGXmEI0fyuXTpGgEB7XnvvUGo1Srefjvh1hksIPN1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\nQmCC\n", + "text": [ + "" + ] + } + ], + "prompt_number": 9 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "print (model.transform(m0)/mu_0).max()\n", + "print model.transform(m0)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "1.0001\n", + "[ 1.25676273e-06 1.25676273e-06 1.25676273e-06 ..., 1.25676273e-06\n", + " 1.25676273e-06 1.25676273e-06]\n" + ] + } + ], + "prompt_number": 10 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "fig, ax = plt.subplots(1,2, figsize = (8,5) )\n", + "dat = ax[0].imshow(np.reshape(data_ini, (xr.size, yr.size), order='F'), extent=[min(xr), max(xr), min(yr), max(yr)])\n", + "plt.colorbar(dat, ax = ax[0])\n", + "dat2 = ax[1].imshow(np.reshape(data.dobs, (xr.size, yr.size), order='F'), extent=[min(xr), max(xr), min(yr), max(yr)])\n", + "plt.colorbar(dat2, ax = ax[1])\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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Ugz50R0d3XiRpC4XOr4481+Wvy0S7R+S75ep38ozQbK4ncNCBbXoooO7cTVHO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\n9ahFS9tNOVxJDw3K1H1E85b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t+l554fOOyEw5GaY0xoMkLkPKvAnVJsWKYLaXYLtxGVEu\nBB2Sd6h9h+Q9G3HXmYQXy2z+6yDviLmRd0jgdZp3qHWHZRO+S5APW8xSZcjjnDxO6Mdu7vmeIupe\n8e1Log7rSmZiZzaPotL66d/BzJe8R8RH9upAyFvYQ/swQx9nGPAk6qQ2swqZi3lW7q0roDCd+EQ1\ntIamK50OcvL3NpRbgzd/G4hifywqTcfC4Sp2rhKDp/lH85ZkWfomqOukn9MJztVtw99aqkvcRlTb\nJl002gwvFmjteZCikc+noX3kRRukBVjKU/zbMssMlKQthaIJWF4qDBrQfu7AGlNcV/Qq2Kfe+Bzk\n+cF/hwcfmd9tNf7u7/6Oiy66qPj/qaee4vjjj2fjxo1ccsklvOMd75j1HkuevF2jjQpWM+TGUC5S\noSfFlMY5KTWuynrcbq5y23dTnRZzB+uo8pCw68h7mOn810XeobAMOw/VtqvObF53/tdB3nU+bo3w\nmbFxZsnEaTc2dVPX5mlcLB4j07NIMGO/UifK1ceK5H3eeWSKuSxMo3kvMqS11xqXfHDth5JrtPqn\n14DWPTwotXPZhhVO7pVSTq0azsQT9hwNxcc0MW5+c0/QsYEkhiT1vmwgSijmPg9lQThICFTLlLyC\nViLDQElx7+sh6sN8z/peMoWq3EOKRYpX+kuhxVnyUUfeleW2DcV0sDKZi2SoMrWqZE5nsIObDU1e\nYIKyFy/Xy8Tv8t0k2eB+OrZBW2Z0BKC8zDx713OQ51Pe5ZLgkzcOvzbEpz71KZYvX84f//EfA/D6\n17+eHTt2sHLlSu69917OO+88fvzjHy9GNl8F+MZTL4qTF8m4Rlc1wq6BrmpXfU3gQuI2cXOU96Ni\nytPa4WDaNzUfv/evg7zrBJgh56GesAmO1Znjfh3kHb63xgB54xrNroHEQs9iUzfnfGZj933NoHk8\n1LzLFBVm89xbdSL9LvPB0pSiJQIdOSxbccpqARKzdKb+1wOdteYdVjgdfazt1XpcuRCzHvet1UlN\n3mKCUeScGDcneAtoRf42EcSxD0pT2YPS7619xnWWXk3eM8mL7vOEQWXyvFZwTCC/1YYOeU0pRij7\nS3K9jlJHFZUc0EQPjritpZzARReKRM9BGUEn30J/25Y6FjawYYRr6I+U7yu9E91Lmgf2ozz/4z/+\nI/fddx8PPPBAcazVatFquY/33ve+l4997GM8+eSTHHPMMa9WNheAwGyexyp57VubzQdJO0hqPe4s\nc6uE1U55qkl6tqA1IfDFIm9ttZuL77vOVD7EX1xrJp+NtOtIfH+Rd927mJp7eq3bWUwstu9We+vb\nhFg0byOdtkFfd2X9bxO5ehSZom4ROQKft9l8aUrREoEOcxbilgLWwqHtukL4Mp+1DljTFUNHr2tS\nTqhqbeJs1gsliGam8yb58veRVcViT97tCDoRjFnvq/b1MTVVbVVuJSZrIVXUNeJX1rKjzeQy1F2b\n2YeNyJDn6dc31LdBkrTBQnhOJkIz6r468HuYvFb2tdsDShu+vGALp3HXRfHqjhdU64PWquT6kNj1\nuHHtAll8zXtf8M1vfpPrr7+e73znO3Q6neL4Cy+8wMqVK4njmB/+8Ifs3bt3VuLej9lcIAJTkDXG\na99i6hSNOypMoXpbJOsa98zG9POErJ+4VcL0IiN12nQ4k1qokc+VvOsizkNtczaNGxhYs3dY1GT4\n25CAa8va1FxXcywk8ZDQQ+KOGd5w1L0zNc+p6wx4a5qs7pb3YrK+931HievURfGAdUbXjaK+KLO5\njYyPr7DDy2oIbOPzngFa+9J+SNT/luqkG1LBxPYsFUeiu0Jfdp0ASaMt47OMI+MiqEF6aV7LK/zX\nkmKnVUeRI2+ZuldIW4+S0H0BTcxa8w61a7Hy6nodBsOHliD9eqESSnA/GGyL9G90PJ7kPzSVa1kU\nrtT5GJATC8aq9inUInQ0uAQI5pTh90LAdZqFbnj0ce2L0L2P8IPMHYshz5s3b+ahhx7ihRde4Kij\njuKTn/wk1157Ld1ul9/93d8FyiFhDz30EJ/4xCdIkoRjjjlmhmGXVSxt8jYlcdvI+bpzY1SDPEjc\nlQbbRk4zy1ygWr8Xk4XEXUfSIZEPS3rSqH0lby2MEJjDhLTFxxRsQ9SZ1ENX0UBZm8Gt8T8Kze3a\nhF6njYdEOxNxh/JUayYP7pniyj0g8H43Jvbrfsva33WWmZLEyzpijSSDjayLajdDyncIsqUpRUsE\nEkQUVpCKvZUy6li0aOP/Fwdynaoq9t2QVWRfzOBtT84tbwpXBI3vrEXW39r4FHmTeVRV2nUkuY6n\nCrlCFE3RpuUePUozuvZphzP8aTnS5nXtm9ZtUR5cE3beI0rSztVz+pQz0+prp9X/UA3G13FixTVK\nwZjRh4c6p0cECPlqS0xomtTujdDmL5mUudAJ7jd3LIY8f+lLXxo4tmXLltprzz77bM4+++x5P2Np\nNp2nmMUAACAASURBVDv+G5c+71I7yotJWspUS9xEpeadxWT9mKyXkPdi8iJYjXoCDyPKZyLv2Qh8\nNvKGIWYoTdTqwuL/GoIZasqCevL2khfOSW2kYTXV34Ud4pnIezbirjOThzIZJmlAu0Bq/HeMsb2c\nfuJN46J5M0zzLjt9hc8bV7+MAWts7SJRM6Eh75mgyTtku/A6UT01Ywmpi/1WVx5hMT3htxw36vee\n1Uyr9GFHnrwjHLFHtgxES+S8KTVyCSDTEeIzkbf4vMco5yDRbYr0TYatUKo18mFuJ73OhwSVaRN3\nnSVLW/s0L6bB9cJ/Ah20Ju+q7w0uYE3apoHmSbUpxYvKt5OYBt1IROW9CqLPg3vEal86cdq8oBvm\nuWNU5HlpZrMgCCdA1mjiNhXTeR6YQkNNS8i730vIeqXJ3A4j55C4ZyLwuQwbm4m8BQMVPWT1mWzq\nM9xnWKe3cjBM+lwN6+t/95W867I/zFSuLW3KZem+nyNw20voJ9lQ4q5q3o7AM21Wr5jN5R3nrn33\n45CI5oL5mfJGF5q89fJxuuEVDVkGJsv5VN1HGnpJod9JBz3phl0YUMhaAsxEu/bELY8ryFh3XE31\nfF2Kg6yItV7IWwfA9/z/MomLLJIVhgDoyYt0avtrXgF2+61YoLUrOSTvmZqQMCK+G1wnGrd0PFD3\n1dW/iDiHeiHXkBvKKmOaoEWj1r0Rfb/QHaMDlyRgSTfec8eoyPPSJG8FN9ueJ3BjsCYiR5ajkH0z\n0GCL5p1bF6DmUgRZBJmZ3Vc9jMRnSqEGXheTYa3fr7NvU3NsVof4HAtS/6Olry6FviX1Oxv+Hoqx\nntoFMMyvHWZjmLatG7thAYCZWyrUZtZ939x978zWm8tzVV8qydctjK2+3hyRJfsiRvNrUEYXEq2l\nI6rCD6/PKduv1nzJqc6gpiuEjviUSGOtFqvnWgs2Axvez1S5XgcrQ0neQp56q9fHkLojQ7aEnMXP\nLUnM6uLjjqGYmUxb/BOcJSAF2hbTsX6KVVvmYRyvfRvomdItqCeLG6Y8yDsmlAu4idk8bM+kbGTS\nF91kWK8dW/kRuKF2/hvir9FuwELoW5QxDWE9EOhvLd8+bFTku+vlZam5bmaMijwvbfLW3GCM4gjd\n+HrfZS2Ju8bc5jE2iwvitpkZHkw1G6nXEbs+rvcHSMxSHQs5EyFrJgxJnBm2cyjQ2q0m7VAyCf73\nyRrIjTejyceiNKsNe7z+X7ffc4nYV8lmBpMZ/11jbO7iHHQdGCDqOuJW2/n6uxvMBj1OqmjpKe2u\nGqa6GxmvJfv6mHn5KZQwMadKo67VwoRyaJLX4mzu66X1jUqM88vFVUVOOCAkWyEuIV2tGYdauEzS\nIqZxbW6vsyoV+7b0v8v62gZIhLhzt8Vi2tbdv2th2mCnIr+4UgRTxhGw3FfPBimdg7DZSSmtBG3K\nxd9Ei5f30stoC3Ih7y7kfka7yHqXhC9MafuKNlBGCkh90MEEoQKhLS56ylvdRskHwL+onuv6wMPS\nJm8AjKpj0sAONsJ1ptLcRuS5S+S+gc+M07z3lcC1hj3M363rGVSFxGrVdDZyHuYkJ7humGo7WJaD\nhKzPhXbw8NqQ3CPX+OkVl7ySNCftNTS5z3XInde6HYFHmMxg8wybl9p3WB90Z69C3Fb2vQJWvMjc\nkcVNuPlwCHnX1Vc5puuZ/78g78hFfWPdsT6ecKEkbNnqCiLDhTxBWBxpmNxr3qKFJ+5+sSmzoodP\niRgKpwgpC3nr0Uk6unyYuVtPV1oJcLPQkpT781HVBdzJ3Rz/nRwT5ZBZTAb0LXQN+SuxM6Hvidws\nsTqwX96trvilnRIjRYcyYE1861CSt1yrm67MOq0774KZolhONU4g9j/KrEvFA4W8xecgGQ6VB6kb\nYkIQv2VoudF+jxzX+5BeyNwxKvK85Ml7wGw+gxY1aDqPsUrztlk0oyZXIYu5at4znRvg2jq7chhJ\nWWd/lvPU3ZSqJM6EmYgbShYdJkByzqvXYmO2lsGgt5pHh9kOzeXz0LqrpnPjvm8eYe3wAEZN4oSa\nd3Fs/pp3xmgI+6sDPXNIGPxQFxat6qdo3mmkiMZbWrCUUVRC3jogRaYl65TPsJ5gTJ/SZB5RuLLE\naiRErc3LoeYtQWbalKzN5NoCLJrsMp8m/GvqyaAiYNzCeO6SaMu9CLoGEznN25F3H5PkhVpjwK2I\nuAvydoRNLMWsb1I8mqi1l0GStjgklD5uPS28sIU2w8sn7VnI+xD56HGD07ijluuYAMUELnmuNG+J\nhYDBNkkrCrnaSsGFZgwdSIAv9D3Ml+ZGRZ6XJnnPqLUZRVlV0h4gcWvIrdOunNAzXOPuM0jiczWh\nh4SjzeQVYg2d4OE2JO/wfIi6bvTMZTfYSGpo8g4DiqQbHgfXCZFLhVfX68AZya7OSih7M5Vz+F0q\n39I1vjY3ztpSYzqvI+4wSzMWzQzoj4iwvzqQhll3PkN/pa7vcm3f1ak8hsyXb55TTgIikcWadcLK\npiKOTeS0boM35XptW4LXtPlbm7Ela0LOE8AKHHlrMRCNXOYh0UHziTonWntk/TBz60zicY4ZyzHj\nGWY8I4ospmfcImYtgzE5pp1hWpnbxlbVVUsex2R5ToYlMxabxNjUYBOXaJmZg2rDPpT1eV3mzycM\nTg8tQdwW39GKIUnBtn3fLAETU/o7jfrsoaDVtGXF8FWvWVvfS7JjVNshMQnogEhL2bPSgY+zY1Tk\neWmT99CGdK6atydumYO3IHAGiXtfUujj1ooFMLOWHXZdw66wrbkuxGKTt4S8yrZO885n2AYmd53t\nMHvzJe9h2rh811yZwPHDv2o6dmGq5EcX0TyQLVExWhoQ8pb6LYQ7zMrkGUHmRM5U8FKWM7hmt6Gc\njgx1H2mAxcwqmrz3wSaxJ5uoPtA9bL87lMS9knLstiAJfq8tuXoyF+kTx0Ardxp0OyeKM6JORtzp\nE7czoigjTixRKyfuWyLjr00zTJJDbCuWo4yY3lhGn5x+bMnShDyNyNMY0titmhg2J3XxOrKNqAaw\ntSmHpml3tHwCYyBOIe24cs6BvO0IV5v/cyP+qRqoNtIY3HKvkbcgxP5+fthgsZKcaOfyEfWYO23a\nmztGRZ6XZi5Dy64pT5TiPhNxu4a78G/OxJ9zNZXPxYweBqcVDYxWyYcRt0SSzGY215Br5kveYSSn\nQBN3ndlc2xLriFuF3FrrhFS32WFW5kveoYVEF00OeCuLI2tdF+rM5jojC8OomNleHQh5i6bcpyRv\ngdbGla06941vrqKVc7le6rGotlIPpXIIMmDaX546wk5TR95p5Kc4NYPkrT1HEY6sl+HI+xD/v+5D\nRFRHwUnS/vDCD22dGTzOMSYjMhlx0idp9UlaPbeN+iR5RpK7bWSy8jeR9bGiZb3uR4nbK3znuXvP\n1JClzvReFLUUi3bxCTHLktrijhbiHsMNSxNrhG6aenj/to8uTxIvqwn0ktJCpiP7B+ROvr8IuaFY\nwS0qejuQj1OONtD30DZ/qV+a2OeOUZHnpU/eAwRe/jNU2/aNt7Wl5m1zU1a4kDcXg7i1j7syzjG0\ny9dlYMDezqDWPpvmXUfuIeqiyDU0cYfXSoRNHYGHvVvf2ObeFy698zAri6Z54zRvpX3XDSecUfNm\nlqKZAYst7FmWceKJJ3LkkUfy9a9/feD8X/zFX/DlL3+ZlStX8k//9E+sXbuW//qv/+JDH/pQcc3P\nf/5z/uqv/opLL72Uq6++mr//+7/nsMMOA+Daa6/l9NNPX9Q8D4f2Z4pKJ9CdTiF2n6TzFzb2hWyJ\nqisal5Yp6Sjg97teM4y9NpxAKwmmPKU6qiyMBh/Dad4HUZK37lCirtV9CvGHF5q3LaLKTZITpRlR\n0idKeiRJjzTp0Uq7pKZHix4pXVLbIybDGF9rjS20bUld28LEFtNyyqntAKnBphEmtYOKak41RGAP\n8DKlS1lIW+INp9TvpL0riBuvIacuQE0+tQX6xpO3+L2HCZhW5X1bZ2IXsR4r8raiRGiTnrb5a8VE\nNzJzR0PeC4EN//UEDLUN7+DQsdJkWhB4HWHPN9URSa22LSlU6UN1MVQnh/m89UN0IS3UbB5qoNr0\nXefz1qqGbLVzkOC+QeOr+yF9qnEmM8UgzJZ8/ItLLs6h1gIzkFB1yW/nUowBFlvYb7zxRtatW8eu\nXbsGzm3bto3vfve7/OAHP+C+++7jyiuv5O677+bYY4/lscceAyDPc97whjfwgQ98AABjDJdffjmX\nX375ouZzbtBNjHauSusOVbOV7sSiTKzSgEv91KHeMq6rXf7OWKcJRj4lqdMIk9jPpKa0bT2UKwm2\nOspcRjBJtmOVFaiQo0lz4rGMeDwjGsuI2jmkYFLrtokj7TjpEyV90qTLWDxFJ97LWDRFanqqNbOU\n01G5OQJdqZWL73Rp0Yq6TNMljbp0bZt+1qJn2/RMiyxLXKfWT3BlM+9GwLePyjvhyp2KGFeUWB3Q\nXfmcyiRuqMq5bqKsaMZ12pRuRywugl1+p3sbVn0AqWN1Vk7phcwdo0Le0eyXDMeWLVs4/PDDedvb\n3lYc27VrF2eddRZr1qzh/e9/P7t37y7Off7zn+fNb34z69at43vf+97wG/sPbSXIgbCRnY3Eo7LB\nFuIOTT212lvNuVlIo8qp2k8926oloZNp2KwvdefC6d321VQw0zRxs81CU/fcLPh90BAzj3LOmf37\nhO4QsbIU3z8q6ke91h0QuAX2gcD7xPNOw/DMM89wzz33cNFFF2Fr5rB/5JFH+KM/+iMOOeQQNm/e\nzPbt2weuuf/++3nTm97EUUcdVRyru1eI/SPPmgHF/roMF/0lgUUSci11BqosIq23MKWO/NIkru4f\nTUCyDDrjsGwcxjvQSSGNnd9bZ0mPx9bDvNrBMSEhbWmL1WNVtqJOTjrepbNsDxMH7eSgg17ioOUv\nctCyl1gx9iIrOi9ycPslVrRe4uDkJQ6J/5vDouc5wjzHkTzDG/jfrOJ5DuYlJtjNOHuYYDcreJlD\n+G9W8iIreZGDeYmD2MlBxqfIp3gnE62dTIztZNnELsYndtNetpd0bJq40yVq9TFJBpGXzzpdQHe0\ndb9L4sM6lEF8E35fOkIDM9D5zkJkKJftyyjnNpc5XpUCYXPIe5BPQ74H8t2Q7wJ2Arsop1UVZUPM\nBmL71877uWMx5Xl/YkHkfcEFF/DNb36zcuyWW25hzZo1/PSnP+XII4/k1ltvBeD555/n5ptv5oEH\nHuCWW27h0ksvHX5jVYFEmxpsdGcfNiZad0Hgde7m0G+6LwReybg2/2n7Up36PhcCH3bNbPO5zpRm\nWpR8rnmos2X3g+tDLYqqJ2E+HaSZCFy073ywrtRp3eXXqqlP0mmcBzKSeadhuOyyy7j++uuJonrR\n3LZtG+vWrSv+P+yww/jZz35WuebOO+/knHPOqRy76aab2LRpE9ddd12tRg/7S56181eHbAt5g6sv\nQt6h+0dbejR5yyImohJr8p4AMwHpMmgvg2VjsKwDnZYzl8em6o8OI8H1DGpC4C0GzcaWap9Ek/eY\nI++x5SV5r5h4iRXLXmTF+Isc3HmRg9svcnD6IgenL3Fo/N+sin7JEeb/40h28AaeYRXPs5IXWcYr\nLOMVlrOLFbzMSl7kUH7FSl5kBS+zgpcdgbOTFeZlVpiXOSh+mYNaO5kY28WyZbsYm3iF9rI9pONT\nxJ1eQd4m8kPO5kve4eecoLquzLApZGXiGaBUcmQiFbHGRLiARQt5H7IpyPZA/grYXWB34hzwMp5N\nNHDxBbyCI3A5J5P1zA2LKc/7Ewt66kknncTTTz9dObZt2zb+8i//kna7zZYtW7j22msBpzGcfvrp\nrFmzhjVr1mCtZdeuXSxfvnzwxhXzStW0qxvgukZZDwvKiSiGJ8xEzvtC2pqXCpNQWOOHRVrV7c8l\nYE0f3wf77gC0j0gHAA0b510n4aHZPsyX3FdlHfaNuGe1gAgB10eYC+o6grWvMkfMxcz26IN7+MGD\nM08Wcffdd7Nq1SomJyd58MEHa6+x1g5o0UaNse92u3z961/nuuuuK45t3bqVj3/84+zcuZOrrrqK\n2267jSuvvHLg3vtHnnXZJMFxmVJSOpLSykvdC+u7Jm+JppL6Kvf09tzIOBN5J4JxbyrvGy9qpkpA\ncjtd1eW8Vur18PIepTYuhAVFcxV1clpK8263p4hMGY0RkxGb0ms9wW4OMb/iUP6bQ/gVETk7WcFO\nDiIix2IYZ0+RDJYpOkWapk3XtJimzbRxaSrukNoeCT3ivIfpd7CZJfMhBSSQR1HZdNU1PbpJC8lb\nDCfgmi9RoPHXa+IuLGPqvkVPSDRo6SH5728zykUoRKOWJB02WXlO7icOfKPuNz/Ne1TM5oveZXj0\n0UdZu3YtAGvXrmXbtm2AE/bjjjuuuO7YY49l27ZtvOc97xm4x9Vfc1vbzvntkwzvfO+gFhK2r3Uk\nXpB9OPd26LZdSJL5emftIcxG3HW9gfB++5u8xS44LGCtDjofdU4yn/9iLmkoZmQL+yZzKu+Zk/sc\ndXUBQhLX+N53M/793j7Rbku8e35lOxdhP+GU5ZxwSklst37yVwPXPPzww9x1113cc889TE1NsXPn\nTs4//3zuuOOO4pqNGzfyk5/8hNNOOw2AX/7yl/zmb/5mcf7ee+/lt37rt4rgNIBVq1YBsGLFCj78\n4Q9zySWX1JJ3HRYuz//Dbw3wLuBkv9+lDCzTHUdplPVMIKK9C6H3y2uNr6cm8sFgkQtySnHDwGzk\nJjqRgFVNQFphD92iMg2ozPkh2nehrVvMuMUss5gJi2mXPunYZLRbUywb381Yew/tZJpOPEWLLim9\nIukZ+MfZU5jCV/By4fRx5/vkxIyxt6BroOIDT+jTYYo+CRkx06bNKyxjjxknYRkRfmw4kGMwqSHv\n5ORZTk5GTuyeGBlsHGH3mNJAFyq40kzo5kGCvHW4jFjZdLCcbi9MhBsOlroLLWC7nrBheOOge9i6\nrdHWlx8AP2Zfxnm/Zsl7Lr41gQln5fK4+v1umy039FcbeoEOBVV9fLhfs7igJI75EviMPlZLda7y\n2Ry1M2nhwzTv8F77qB7WQhhUKr8Qd510zuV5OrBNv7sn8XAu9PmWu/5mdcSt/Nh1rpVBuB8aLCed\nFHHqm2PS53LS5yyf+ufFKN/54ZprruGaa64B4KGHHuIzn/lMhbjBkffll1/O+eefz3333VchUHDr\nCG/evLly7Nlnn+WII46g3+/zxS9+kTPOOGPOeVq4PP+pnMXVq5cpiVkGH0trr9lRk7fUITnmNXbj\n66vBmcIlejy1/pYRZKaco1sblTR5i48byvrUApYDB/vUodKnNR2IJnLM8oxoeUbS7tMyXdpmmhZd\n2ukU7bEp2q29tKIubaYZZw/LeIVx9tCiWyHvDlOF6Xs5uwvnX0KfFtPkxLToFh0AiymC2QDSYrY5\n93+XNjs5iBZdd52xbtQdhszEGGvcVMJRRp72yVsxWSshG0vIxg3sNuWKZVCStyZwXZa52tdLpGri\nNrYk8P+fvXeNte0q77t/Y8zLWmvvfc6xD7aBtpDilgJOi2owx3nfOpigtMmbCAg0UuIK+JBUtZxI\nOCEghJJWhA/ULVFzQa1EU/EhMgkVimgTCuKNW5kSotjhDahVMJFaEgEqBN/OOfuyLnPOMd4PYzxz\nPnOsudZee599Lhv8SGPPtef9Msb4j/9zG4YYBlZGVXoEbTcHt4h9qlVF6pBdUcR+ITdyL/ADavsH\n+U6TEwfv17zmNTzxxBPceeedPPHEE7zmNa8BQqfzyCOPtPt95Stfabetkn5XMKzXHGJVvU57CLSH\nypUw70EKuY5xr1q3alRxLdTm0onKNezA9sPOlTL1Ri3jOsmFDsd83+tLx7yHBnN9Jt7dra5TR3+v\nV8thRcDwwx/+MAD3338/Fy5c4J577uGuu+7i/PnzPPzww+3++/v7PPLII/zmb/5m7zzvec97+NKX\nvkRZlrz2ta/lgQce2Pgerrw9PxOX2lVZvMO1g1IaFJ2CN3T1ULyNI3ODoCYvTTSHR3BYmFCqWN8E\npNMkKsK8dT0rCXbc88BtdHHdcjulx5xxZGdq7NmacjRnYg7YslO2zAGjbE5WVOR5TW4rShZss89N\nXOQcl5gwbT3ILY4R89a2vcU+Fk9OzYgFE6Y4bA/sGzJNT+J28T2vmTOioMLStHXfGUNjM2pTIJ7n\nvrC4cUYzyTFjj98yuG2Lv2xCDDx07FuDt6dvy/bqE0r4mGjENfbqtmZiDHcWaXtTEbLJ7KqPIPUh\n7VtS7aAOTC/oqw2OOCXodyvzvvvuu/nIRz7Cv/7X/5qPfOQjfN/3fR8AFy5c4N3vfjdf+9rX+OpX\nv4q1dtjevSRDPsLDe6S/e5l8Thq0HXSTz6eUcRWFHGLfGsBTdFqnMrpWzFtv3+R8Q8AtzDvu4+O5\nr+TdL31L051/AKhFlhl4H+aPI1fDYeXee+/l3nvvBQJoa3nooYd46KGHlo7Z3t7mqaeeWlqfsvej\nyJW3ZwHv1IisB4qCCtpLLAXvIa1WjOEyBA9yMYFux0s6uuQj+lJyOynz1pfQ4P2CeE6Vi9wUHrMT\nWffZimI8Y2L2OWN3OWN3GZk5mFjbjGfEnB32uImL3MqTbHOAjcBtcRRUyoI9wxCOmTClosDF9id1\ntKLo1VcP0fIdjp8zIsPFXiSnNjmNyaij0t5nBld2/iF1leO3wO1YmoM8+nj5MPDRiVuke0C9P9FK\n627OxHffZpVLGqwkYMny4I/gPbAXwNtdJkwtKh8yzsfeA+7UN0c7H4zjxS8R+tdhB81V8l2RYe2+\n++7js5/9LE8//TQvetGLeP/7388DDzzAW9/6Vl72spfxqle9qnWcef7zn88DDzzA61//esqybNnE\noGgSNIBTurvtr09BnM5bfajzvxLQSO5muJNZBdSrgpiHWPcQ805v4iigY5LfWtWdMm/Nvv3A8UPn\nHhohC4An6vcTG0TRse4e+zbqUqvt3UtyRAw/LTayw+TqtGfR2Ohvr+uGNpRqYJf9tGjnNJ1Nqwmd\nvZhlXKx/Q+39MOdTuSU9K5fGh6g0MIUnL2rKfM4onzHJAuseGykz8giVOTXb7HMzz3KWS9HpbL9l\nybKPqMTLqFkoqBgxpyHDY4LW2XuM91QUHJg5I7OgNAs8hlFwVyO4rS3imcIZZaKempyKQrmnxMFA\nVjLNPRSWuixoRha2TDAdzOPO4tx3QBeFpcfqUtJQ7BHBSbC1e8u7NnTe55YwP4KMCAz9wZ6uP1pt\nIvp58Z/QfaYQkOeStCzJ7/zO7wyu/8//+T8Prn/wwQd58MEHDz/xGg1mWLW+U+7x9KE47ytle+2N\nrGLemwJ3WuHSi62ydzPwexMZAm79O2Xejj4jjx3l2vMPqbakgaUDAU7muzhiuuvwvftq8z7bXu89\nwbGUGqelsR8mV6c96zomdUs6aa131TpZXUf0gDbdN4+7NbEeWGgyqLN+80mbqTQ9Hfko+KBNqDJO\n0GPrCOw2dxR5zSibM7EHbNkDJuaAsZlRmgVjZhGkp0yirXuHPbbZZ8K0BVopqQObwdOlZ7EY77HO\nY73DOkdNwdjOGJkZIzunMbYH/nOqaCEvqSnaM1cUzKN3np57b0GJMdCYjHk2whQZTCx+J76j3AT2\nLZqMhXq/2n1hQbefjNkld04L3qZj5y2Yx7rhJXavoR9krxm3DPAkp71jeXKJBV3/JQ4Nm8lpac83\npn5gCJ+SzeuYVE8RelLM7lDmvYlqfJWqfJVHXMq89cvR1z4q806ND/JbA7fuRIeY/tA1VzFvreby\ny7d+Ut/G6dNq0OjLSgPMUcdCUU5LY78+outW2gFrBzWpd9C1J/ktAz+tWrcRTH1k3Q6aPDC8KqKE\nzpKqTzuUNqGmI/JpimxpnuoxTOHJ85pxNmfLHrBt9pmYaWS+AbwlLvsmLrLFQY8Vj5kxacF9SkHF\n8rBTvz1H7huyxpG5hpqcsZ8xyuYtOxcmL2xe/NpT4J4yweDV/hULM6IxOXM7IsuqkBd9AqaJiY5K\nAkDPVJmrInHvFZ2aXZzcxqgux3SfU38XbwiTkIva27GcIUe2C/KnUQlpaO5z4H3tZa3avLNprmLd\nrQuSqE9PGCC6+1nHvNd5mKf6unSZgvbShQde0GGIk7LsFNSkp0rZ99C5V10rBW7RrWV0w3B1vlVW\nguMCt6dLzLOybnSXHnxrRwRuOD0OLtdHhpi3oKPOkKJ1r9Lx6vYlwC+ZQSxQEVJm1nQzBlqo/Wrm\nrS+R5iASp3cdbq7BW6nQbe7Is4qRgLfdb+3VZXQyO8tlnsfT3MJTbLNPl7TXt97nO5GRiwe5U/U2\nOLSFYzLfUPgwUUlR19TkjPI5pZ1T+jm1yVvnt4yGgqqFZlGXzxgzZdLa1EsW7WBjxjiEl9ktrK0x\nhQsTeGHCu5jQAbWw732CR7qP/6fMWz75KL5bAe50XOalfsTBmZc52IfS26X9oGgDNXhXar+jg/dp\nac83JnifpAxpmlcRybS4FfsPXmDoYI1Mh61LPdWHEEpfc90DrZKUGaOWm6KWtpGn6vC0p1z1bhJJ\nX82q73ACsrHd+whyWhxcro+I05EeEFZqnValy0eW35LdI6evvdEDRIlTiueT/NoCwnpeFJ1BbYdg\nz5VMrRM6Uq+XMYGbKRw2d2RZg80bxuWU8WhGmc8o7aK1T08ik+4SqgQP8m2/T9Y05E1D5hpGbsHE\nH7Dlp0yYk7u6zcvvnQFP68xmvQ/HVg153ZBVTXicYoEvM0wBTZ5hrcPaMOtYYRuaLMdlWdBGmzB0\nEEX8jHGP6TtjmdgpO/kelS/IXUNVj6jzEVU2wtkIaOnAR5Nd3UXpbiVVTKZ+Bo4w+HI5OO32L99d\n/k/DatPA86Gsj1ptspmclvZ8Ou7yasoqfFlXrvgE6+jmKjt3CthD1z5MVoF32tLc8qGDx1/xn04z\nwAAAIABJREFUyzuRU1xvOS1qtusjO3Gp67tk/dAgnHoUSziZFOmk0zqYgn40VMspBMQlS6aUbcIM\nYWfpZ2sVTb4mfQWY0pMXFUWxoCgXjIsp4/KAUTGnMFUL3mNmKuTrgAmzAOpuRlktKKuK0aKibBaU\nbs7ILRi5BdY1+MbEAsZ1zmnWe2zjsHNHtvDYRXif5bjGj+bYkceVNsz3nXts4ZnH2G1KgzEuzDhG\n5wS3z3ZrIZcJTsZ2xplsF4+h8DXTaodpBo3NcWQBE4VZH9CpznW+Hf0ZdFc3lH25164tuIIuvluc\nDKADY+XuD/QnS4dhtYp4z20up6U9f3eD9ybsewg4PCwjyXFQaBWArwLvVUB+EuAtYJwapIaO1y0z\ntYtv8vJikVC+UwzccHoa+/URCR+r6XSukg4V+nVP66vTeiVArUMWdcAx9MBdq78h9PFbdEx7O96a\nsO8Jy+lQW/btsaUjH1WMRiHxyqQ4YJRPKbM5uQLvwLo1eIesaBM/ZVLPmcxmTGYzykVF3tRkLrBx\nUzuoTcwGaqDxMboqLE3lMTOPnXvMDIzxFJMaO/GUkxo3MpiRx4zCQKMY17AVgDvLa/KsjnHj4R53\nORPd54IbXWEKxtkUbwyZbSh8jc2hyXLmZkLt6TzJp3SqcbF3a/DWQSZy3JCfAahuIdq8W9t3OoeC\nnnBEYv/E5KIBX0ql9l2fljiV09Kev7vBG47J/E4CtPWwdJXqfJNjrwS809htR78zHTpe1FhHAe1V\n9xkBfGgsc0qAG06Pjez6iIC3sG0ffwsgp8k2hnKbi6TgnQK6ikWSTbJ5TDeBxrZaShnTd4BvmbeP\nzDuAdzmZMZnsM8kPGDOlNPM23WnJnHFUmafgPXYzdqoDduYH7OwfUM6qANCakabpSNsxvIcKjMYi\n47HbDrbqvuo/lrKpMDYAdzFeUNBleTvDLpc4xzOcx0DwSjcVE2PIbcPIz8h9g8tz5tmEfRtRWcB7\nRsBRsYGnzHsVeKfq9l6b1m7+0KG7HCwX3YtF9pE+S0wsUiRDzL7afzM5ifb8Uz/1U/yX//JfuO22\n2/if//N/AmGGvre+9a188Ytf5FWvehUPP/wwOztBM/Ubv/EbfOhDH6IoCv79v//33HPPPYdeY5PM\nG9deDu2sl5Nq9GO8V5xz6BpHLgMM8lBb9Tr1+CpntaHzb6JaP4y9rzvPJvtu8ozrHO9SNPZXNv45\nBOTTVdqLd8ht7zgDhdMyC9H1kYux7NHlyhTqK4gJyyM3qTeiq9UsbMXA1fm+byh0/kpStGpcjxNE\ncz8Ot2Z2PNl2TbG1YDSZMR5NGZVTRnkIzRqZOWVMharzlZcxVKv0C8bNnMlixvZsyvZsyngxp6wq\nsqbB1g574DGXPeZpj3nSY77tMX8Vl9/ymP/jMd/wmK+D+QbwJCHvyJSQKOYAzJ7HXPKYi3F52WN2\nPXbPUUxrysWCcT1j4qZsuQO2fZfFTQYWZRuqVmNwynIRNA52XGMnNXarwWw72PbdQCgtMhiSwcRI\nvXM9heg2MPYhla1d1x/pOD0B9xF91Ug6t7t2hhQVy+ZyEu35qs24qeTG7kUGO9KhHFl9L+KV57ni\nEs++Nv5sVdjXpuCXXjRdv8oOPrSEjsEMLeW3Zj7Qjen0NaEb5cpzGLVcB+TZwHoB7XgPm6ax3RC0\nu7fQRSd0b2RFNrWh1/ecXKFIxjftmCYZ1DTrTrVQnr7dMrWHi/hu4YHGd7OG6f5e9/E6AYu2Hgnj\n3iakPt2pybcq8knFaDxjXEwZZbMI2gLcUqo+iPsF43rOVjVlpzpgezFlNF+Q1zXW+TDAmBKmpr5M\nn8kKm5UxiyQ8kXuXJXRsWI9vmqBWz0YNxbjC1x7fGJwVFzjDwpQcMGUUbfJzxtQU8UtkOGODo17Z\nYF1N1lT4KsPVIZbe2+R+JfRa+yDq1KgiEiU4912ZDfVlaT8qB4t929KfhF36GDlGPq7YQK6tXLUZ\nN5XcmOA9hEW+v0OaaqMfu2v0rv1zXCk4+HTlpqC9KeseOrfu2FYh1tCDpvZsrQ5Pt+lkKtC3a8v7\n1ECdLiWWplHnEeBO3UvVvQuAn9QAK5GwejgngFl10BHltNjIro/I7GmSb1RoV5y6c9ntWBVh3eJw\nJEgs9VCJhzZcrKIP3ppt6yRuNjnNAPMut+eUW7MA3nbKyM7ayUfKBLC7UlO6KoD3Ysb2LIB3XkVP\ncef64P00IYOnBsNZUmzy+qADbhP3UU7WxnqySUOx7TF1Aw4cJswaZgwLRnoy0TZJDIDD0hgbTM+l\nIzMVmStoKjA1+MaCNcvgrcdi8lu+DfSnYZ0B1oNzsPDQOLWz7x6kVz8k7kxUJmkomSYKEpIooYWb\nyybt+cuPPsWXH11ORbxOTmLGTS03Nninv9GQs9zp9vlUAuAnDg6rQHYdw95E5bzqwqkNXCr7qntK\nwXvIjm0HtmlbtqM/GFrFuofYtwbulHnr+zvkfV/RNxpUjK9m3vpejiDPgfc6EfDeoutkd+JvbeQd\nqutiJJ3TUWNJ0pFSOhPBO348rWnV+cu1ZlWb1lPmvePJW7X5lHE5ZWQ6piqsO1Wba+Y9qudszWfs\nzKZsz6cBVBvfjUumBDX4UwTLggZD8eiWUhDyrDs6oNRdT0kP60zhyXYazLwhqw3GxYxtJtT8OSXj\nqDbXGd4ggLeL4G2Mw+Y1lipMrx3D2MhYD946gEW6KgFueQbnofIwHfLvScO9oANkcWjQ9hBZp/sZ\nkaM16E3a88te93xe9rrnt///7i9/5dBjTmLGTS03JngPiCGETUgu3vV7yufSoMNGTG1Qesd4ltn3\nqpNpEEx/u+S4dMSSAvXQ/2tvdIMHE/WS/j91FNKtMH2mdc5rQzLwzjx0k4ocIhuBdVh6VQ9Wx3ZH\nXU0MycGv9rNfJ885rK2TUi015VWJwnve5ro+ajWpnCPr9jemK9aEaUGtWQYQWD/Y0+NN5eTsGoNz\nlsaHVCl4g8WTmZoyTiQicd1n/GVucpd4nn+G8+5Zzi+e5dx8l8lsSj6tMTPfB7tLwLcJwP0UgYGr\nSbD8LJYpuDgpiMnCo9KAiSlHjXSJJf3MZ4YwXjoHtglpVbNooS2oO9u8StFatssFhQn51jPTYE2Y\nUtR4MA2Yygev+AV9TYGo+7V7glg+BH8FY3PC9zKGMCd72qA1e9Z+EbLUH0xO3CTrdCrdzeVqteeT\nnHETTgF4d52rib/h8F72kHmch3BylaSY1fvnKCOAdaz6OMB9EuAt96X1WxrAZZ0G8MPKKklfpAyC\nzNFu+ZDLLZtPVleUML2wb+uVae/paPLd5YB2VJnE5ZiO9mrPcll6lr+X3g49Y68hArUBa5NlcqrD\nQFvjQFQG+LnBVZamzqibnNrleGOCLZmGggVjNUf3OX+Z8+5Zbqmf4dbmKW6eX2Rnts9kNiObueD0\nrMtFAng/Sac2VzHQfg5uDs0MmjkhJasF24CZEabBlmcjgrkG7wzMubCvb0L9zrwn8w25ryhMFTOs\nLSJ4zxgx6uVaz02NzAVu8IEpyzuSa02TpQZxXSTZos61YwW4RXSjlsFco+pHakIUkBaWrUcN0LHy\no/llX632fNIzbt7YvY4ANaZlR8as5lFh767z1qlS++fkaPjWNnjp3FP0OAy0UuAdcjpL9033W2fv\nXnWtTSttyp61nVvWDdEYzb7XDSrW3Gf7Ts3RD09/t6vWDNwGxPi499FxG3hObb5eNHhr5iwUTN5d\niqbQMS8RNSALo60A2JmNwA3tTFWpRWgdgGssUCFbXsDb5S37NkTwNlUMvZqywx5n/WVubi5yS/00\nz188ybnZZUazBeVsQTZtAmBfUuVZAnA/RQDvPVrc8TX4CpoF1LF4A1kDdgbZXngtonDAAKMA1C0T\nLoHnAbNgp7a+Y98FdavyL1vg7th3GbcJ8zaxYRhHSD0rjFtAW5ch4JZJTHQIf2aUXVwn2pG6oMG7\niP/riZz0fmKOlI8nUQ1y7qPJSbTnqzbjppIbG7yhmwYPuu+7QZ/cB+4B55ZN2d4gxqYgvu7goQtu\ncuxhwL0OvHWPdBQA1z2dqK1WXWPd86x6rjXPcETMXwXa9AZuq6WtGTIojN/zOGrz58B7nQh4a8ci\nDd46IYvO9qHBXbqpBNwFBPII3lrZkjqjHQbgWmU+B7+IzLvJoCkC87YGgyc3Tas2D3HTe4F5Nxe5\ntXqa5y++zdn5XstEzcwHu/UlAlDr8kxcHoR78E23dBXUFVR16G7cDLL4Snwcs/jIyBmDn4MR8B4D\nexHQm1DPM8LkJg4T1eZVy7zHzJgxViAendhEbY4HF+PShXkLYEvulHXMW3dF7acXtfmqupM6rek+\nSqtMxFFWZ2CTunW0vObhqlfenq/ajJtKbkzwXoEBK52Mrsb1N2KBhw3nDwPadec4yugivZ9V20VW\n24Cv7H6u4NjjPPoVyspwsSNe9znwXidOLVOHTehetkZQbcfUYJ90DJ6gytVYLybSEWHcICHlElUU\nc5X3PJ9LugQnkrRL4pMzj7E+KoYMzoSJND0Gi2uzlo3MnCyr8LmndhmLOscWDpv5gFHed49YgRNW\nPYd6FoAZR5ja1oFroGqgdsGny3vIXBzqeMgzGPmQQ6YksHI9+DB64pBdsGPIckdRNJBDkdXkWYPN\nQkpVDFh8LHEeMhMmOClMRWEryDJc7sJFZZrPVIEiGCrPmsbdu/59dsldnNpxnbOa7mP1KE1uQIcg\nSsrdIefe1XJa2vONDd769zXC7UFM3fjA4yLQlQJ3etND+4ho99qTvp/02CFV+gbn0btcq++ur3XE\naz7nsLZOpPNNO+QhXw49sQQsq1NFfDzM98mXzuGxRQfcAt5qopE29ntElzxkoo4bE0BKeaXL5B4y\nC7bkCh8T5tXObIMrDHOTU7iCfNaQZw3GNsHRzNNik6tgvoDZHKbzAOK6yTgXoqdqFxzoPZ1zmnHh\n1rcBb+JYRM4toKgSkpnLYEeeLHdQNNjcMy9rirIhGzmMpc19LjOZZaahnV7UVuS2wuU5WVlQy2BH\nx9BLYImErsmz6PGYfGLRbM/ocpzj6Ci9pJhLY8/SaWO1mkWovUQkGPpu+ZvLaWnPNzZ4XyMGduh1\n115/FchtYgPehKVuAuBDAClLrQpPvO9Xnu8wQ+Em97Spqn/N41xL4E6vfwR5zmFtnWgg1sxbOuch\n8BabpYQQwbIPBhG8fXd66a/HdJOPSCpUSeamNfHCvLdUUQzclGByAvNurx7Yt4C3Zt42a3AGFjZn\n1hSUhcHkkNnYFtRjNhUsKthfwO4CFgLe8RG9D6AtioXWjzISzhHhFeUeJvJKBLxj/nEj2UQvRwe3\nwmOLBl84ynFN7powC1nug4NbeDpkWtGcOuZtX1BkFU1eYguHKX14nxIMIM5ocwLbF7Kr2bdYRARv\nJV15j3kv6FKgOvpTvGmdu9Sb1ClVbOTS9+gEQJvLaWnPN+ZdXg/Wpa99ZAAZAuyj0seTAPBV27Rs\nCtzpPW0ihwH+Iec6zjjhpOQKrnla1GzXRxq1TFXnur5piiZoUKh9UgM2HaLpvnqIee/Edbqv1xk0\nNeMWAG9V7EFtbowPzDtRm3fMe47NalwGCwoy12AKyDOHl5hd9ZjCvPcXcGkeGLiWwaYQQd0BWx4K\nCxMboUm/QmHe+2AieJvSQ+HJYsx7WdfkpiErPGYcrhmYt2/BOzN1cG6LavM6q6kKF/T1baw2nQZ7\nn470Sneo1fn6YTQD9/IRBbwvx/+36RKzSBvT4L0qqFyWqYlmMzkt7fma5zb/7//9v/OKV7yCl770\npXzoQx+61pc/nlwVMDkMRNPfx2XBQ+c+zkDhhFH0eoH0VZBoITxSWXu+puHOO+/kDW94w+D29773\nvdx+++28+tWv5itf6ZJD/M2/+Td55StfyZ133smFCxfa9bu7u7zpTW/ixS9+MT/2Yz/G3t7RJmpY\nJ4e3Zz3zh6g99dRUwrSmdNRMh/hIpy4uy9CP3x3owgQcpoQQrGcI3t27dJnIBrzLe+lFnY6NrslN\njHnGtbEMYvMOSVkqRq5iVFeMFgtGs4piv8Zedphnfbj+Xv/6LrJrceAWM/UuXdZUKfvx9gydWV67\n/y0NXMZxXR1f8T74CrwhTJk99tiyIc8qRmbOmDkFC/KYrKVLpOqwxAFM4WDkMFsOJg5KF7Ok0R93\npbOM6U+1qtszNqgH8i0ozkBxFvLtqDLQjo36BKmdQKY4E42N2MKLFRcdlpNuz1dLrjl4P/jgg3z4\nwx/mkUce4d/+23/LU08dLcXcNZfjktCrdvGrCd5H0RSckHyHAPhJyq//+q9zxx13DGZZevzxx/nc\n5z7HF77wBd71rnfxrne9q91mjOHRRx/li1/8Ypt6EVZPiHAScnh71kZncTjSU1OJV9UBffDW+ar1\nVFvQ6bxj1hLxWJY6JFFDOv3o0/G3jBG0OlclRxHgMY3HOBfiok0Eb/rgLV23ZFQrmwWjesG4EvBu\nyC85zDO+GzzE63sPPtqztQO3DGV2VZHU56KPEBO9+NQZ6EwGI/W6MzrwjifwFvwI/CSAd5EH8B4x\nix7mNRk1lqZ1YDPEEN3cY0YOM2lCKXwwwje+P0+3njVMO7RtAt7ZVgDu4mz4bcXeoVm2qML1BOMa\nvGW2MVhO9POdI9cUvC9dugTAa1/7Wr7ne76Hf/SP/hGPPfbYtbyF48lVAZcrVUWLeuio55LlKpv0\nEOu/ynLKATx0d0crq+Qb3/gGn/rUp/in//SfDqZTfOyxx/jxH/9xzp8/z3333ccTTzzR2z50zOOP\nP85P//RPtxMinFSb26w9S0JuDd6CrCl4C7eUGaNEPTrEvPOOkQ0lZElzhw+Bt/Z6Tpg3DqyAN1Vg\npKbGmqZl3Zp5F37ByC0Y1wsmi0WI8d6ryS41mAHm7zXzpg/eKfPepWPeKXi3OemEeWvnO8W8/QH4\nGpwFN47gPWrI8455j1YwbxOZN7nDjBwI8y5CApd2EJSCt3YIH5oMpicWssi8y3NQRuadjYLjwRLz\n1rp3iVvT85NKyuajg/dJtuerKdfU5q0TswPccccd/PEf/zE/+qM/2tvvfZ8KSz/yfP898A/+2nGi\nb09IToLsnvhNaOA+zrlE0jjwa/xgNxBQf+4PPZ//tMPugtk92o1t4uDyl49+jb989GuH7vfzP//z\nfPCDH+Ty5cuD2x9//HHe9ra3tf/feuutfPWrX+X222/HGMPrX/96XvKSl/BTP/VTvPGNbwRWT4hw\npbJZe5aEEx54NfAqOqTU3uc6R7W4hAvQ64lJJMWqyrSWmsOFeev0nKJGLgngptXm4myVMO+gNo8e\n16Ymb/3MXcu8W7U5FaOmCsx7saCcVgFxLxPU9s/QaXe12pxOba6Tlgl3lBbfECa2HALvVm2+jnlP\nAni3avOJx2YNRVaFyVai2jww7w68U+ZN6TCmwbgGPyVoPdaBN/RTjh+qNi+jljvGzTkHRupIOkoT\n9/YYZ9ebdu1PgD+ln151M3nOYe0K5H0/EpburKH5a6b1V70uYpIick2BJ7142gKOcjPpeVY94DWQ\n63TZIfn+ewyvu92S/x9P9n/g/f9p83e6ic3rRa97CS963Uva/x/95c8v7fPJT36S2267jTvvvJNH\nH3108Dze+5UTHHz+85/nhS98IU888QRveMMbuHDhAi94wQuONCHCycvPxaXu4bUuVe5NvMdSFWkM\nETLEDt4s1xvt8yYhSAIYvjtFLwQY+mNhfAiXKj1my2EnNZQel9kA3y7cQ07NyMwYM6OgwuLwGJy3\nOGfCdKQyLhGkPRvvS1Kg1pBVMHZw1kCTQ17AroNdH1Tq1vdbtUS6iS6iMeAMeHmNJmLcgjBoEMza\nAoqgKneloSkMLjPUWU5tM2oThidNHIoEHUPIwSaOeb1k0x68M2FmscZ0GgzJ6TQmjDIMfV8CGbjo\ndy+Og23MuFLDu+gM4HwYcbR1QT5mWnSYWAH838D3q/0fYlN5zmFtQF7zmtf0HGz+7M/+rM3vekPL\ndQWZIYBNVUib3pjeX5/jOgK43M4NBORHlZNycPmjP/ojfu/3fo+XvOQl3Hffffy3//bfePvb397b\n5+677+bLX/5y+/+TTz7J7bffDsALX/hCAF7xilfwxje+kU9+8pNANyEC0JsQ4Upls/asPX41HIkj\nUZzGq3Vqk9hc6HXWJgspxXIDpenPcQLLWlQJQxLw1mFiAw7KBjCZw45q7KTGbmnwLmh8Dj6EhoWp\nNJfB2zcGXxn8woRrC5idi0VU2Q3YOmiezxq4JYdbCrgphzO2yxGjc8zInGy2u2VczLBGFsY1OLpw\nLdGzEw8cG3xpcUVGnUfgtjmNCfWxjsDd6RHyFryBFrjDxW0YOTQGX5vuPefxps8CN6nnPkOwnGh1\ngf70Z4EzHkYOrIO6gUXMUNMQwVsDd76iCHDrwPM5YdS0uTznsDYg586dA4KH6l/+5V/yB3/wB9x9\n993X8haOLhrvrjm4DF38SsF2k3Ndw4c85cANJ9fYP/CBD/D1r3+dv/iLv+BjH/sYr3/96/mt3/qt\n3j533303v/u7v8vTTz/Nb//2b7fzAB8cHLC7GzqpJ598ks985jP80A/9UHvMRz7yEabTaW9ChCuV\nzdqzqDw1cEtnLNk+BLzFBUsPKhW7kjzm0j8LIGvmrfXPAiopQUs1aB7wPoB32ZBtVZhJjS89TWYC\nqLkcPOS+ZuznTJhSsMDSBDzzFudsADMxz2fx8c4RAEoc7puOeZ8x8LwiAPjNGexYmJh+7hjRgsub\ncSjmLQMTQ4dV+/RdCErwY3AjQ1NY6iyjznIak1MbDeBhQtPFAPO2cda9MAOgiew7APgg8z6nnvss\nndvDKvDeIYSgmQaamF6ucV0cv9bCDJYUwEX1MuM7Fbyvudr8137t17j//vupqop3vOMd3HLLLdf6\nFo4u1xVgpGdad+Gjqs03Be6r+LA3AOE/KblaDivibS4TFdx///1cuHCBe+65h7vuuovz58/z8MMP\nA/Ctb32Lt7zlLQA873nP4xd+4Rd40YteBLByQoSTkMPbs06Dqjtizbx14FNrxaXPvAngnRsolOpc\ngEPAW2fZFLVs6jCV+j25wCytgPekxkwasD7Ma42h8RnGB7X52MwYrWLeGrwtHduuCDOJRTt0VoWs\naON4j6Mi3PbMwb7pjzkkJL2nNid6jmdRda6Zd0WXPAUS5m1p8sC6azrWLaVqmXfRWvg7lbmPlN9A\nI+ybbmwmzFs+60wV+VYLOtTR03FXUV0+i8y70vaOoQ4iZd1yAzKyk4pxdPB+LsPaCrn33nuXPGSX\n5DoQwN61jwwqJ8FkVx0rwL0OoNPzpyxn1X6rznNchn8Yqz/kPCehWDiuXME1r4aDy7333su9994L\nBNDW8tBDD/HQQ30b3u23386XvvSlwXOdOXNm5YQIJ3Gf69uzKPd0yq2KDknTeG2dBlPF8YquuLa0\nXuY65wv0q6/OolYmRZzZFXHz1sT0pwbjDZknTOZhGmycnKMxGTMz5jJn4wQei3ZO79JW5EVDPmnI\nfU2TWbKsIbOOzLsQViVm/S0CM3aEebF9NI8bOJsHMjsVQIyvLQe2YlKWLQuTHEZ5nJNFj4vkmbTv\nVvzt43OKK5pO9eri+9fZ1cRxrf18CwMHBvYMXDYwjcw7M13CFvqfrQ0qEE0A9FFHMLadOtRENTnR\nFmBoc8v6aGD34juhHR/hpDyKn3NYuxIZwpDred2119c7p442h938YSB3FOCW/fQx6QMd+jADxxwH\nUdPnP8Ig5noA99D1jyCnxcHl+oi8Gx3DJe7IKXgL6gpqaRQg2FrrYHtuq3hqSpeqp82jAuAjVUq1\nX9zXGwKLdhbrurm7c1OT2YbGWGZmzK4502ZWmzBliwNGdhHAO8aF+wxKU1P4CtN4MpnMQzK6jQMG\n+Vm4bethbOGcCZOOzBw0NdR18NvKga0MtnKYFDDOoMxCljUjr1eePdUg5+BzIA5QZJCiQVzbtjVw\nC+vu7OkGLhnYNZ2Tt7xnyZaWgvc+nQu9EGTotCRpHh4PXfy+Bm8XUtMNxvaJ6uHKnTNPS3u+scFb\n/77eAL7RgUcBuvQh1wH4umsOqdTT3iy9j03A97g0eNVgZmggccgpNrnVk5RjXvO0NPbrI8Kopa6K\nYRr6tkoBca1mT5h3k4Mvgx3UiBfywGUMq5m3BvClqhqhyodi8FgT5u7ObENDxpQJITVqw4QpEw7Y\nZo+xmZMXcRKPosLkLpyj8eR104Vx6Tjs6BXvCeA9iVaBLQMLB3MDcw/z6FC3ncFWGUqZBcKbGcW8\nNXgr4A5L0zFvoyPVO/YdXuMK5t0QmPc+cNEEEBfjuzB9+awSqifgvRd/y30K6khI9oL4sKbPvIV1\nt954jjAn6Ry8judOmfeVyWlpzzc2eC91oteoJ98Yq1YB3JAX91HPcRSWm8ph4H0l93KVnuW4Y4WT\nlmNc97TYyK6PDIG3pmCpt7BWfWrwNhG4oxeaIQC4zq4ml1nFvNOS3KY3ATics3hn4hzYDbmtsKbB\nkTFnREWBxbHNPjvssscOEzsltxVFUZGzIMuaANxVg5+b/gxmE/AT8PtRlR1vd2xhkoHJg6P1voeD\nBvbr8JhbOWwXsDWCQisotNlAgLSkA/BWbW5wtg/cuoRTdJnjlpj3gqA2v2zCUvuL6SCBIbX5gr6l\nRL5XTWcXrwjg7WIDFNZt4//OgakicOt5RyWA/GRCIk9Le74xwVtJCPGLVegIHauJHUDY3acbj4aN\n6X5SqQ69oZRtbopO0gP55PemIucdYr7pfusGIKvOfdjzrHuuFc+/KWCueX1GdfyHzf3eRq6abhnW\nH70DOC02susj07jUXmTS04t3uXiViVpdOmYB+K14DslRHY2n1nYe6LlZtvNCn/FpNbk4dUWg89ZA\nZWDPwjPgqpx6UrCYOEx0wsrNlJGZMTFTzprLTJiS0+Ax6BQuHhtDuEznvLVF8Kg+G15SDNkMAAAg\nAElEQVSJkSwsgj8zMJkqDvIxlHPw0WowGoUkZEZ8+6BrAzJHqJTnAbcC5+M1t8CPDT63NDbEri8o\nmDNiGnUI+2yxzzZ77LDPNjPG1OQB2KW9CVCLH5l8JsFTnexMtNkjVQVENa5jvxd0sd1ejUaiZztO\n/rfgC3VCracfmiteZ67ZXE5Le76x79KEPyFCQXW0aw/xmF4H7vt9vFnx+7D7iIOIYH/ZFKxI9hX1\njyyXRgUD59XHylD7MNHAvwl4pyB/mOYg3S+NGT9M1Hnbd7rB4elrWXGMTiqxiYit05uTGbk/J1oE\nvKVTlRAxSVspMV8avLXqvE0ASodYNRgPNoc87zzQFRi3p5vTxXxr8NaTVrWAbmA/hEe5hac+4zAu\nAHtmGqw9YGznnM12OccltpiSU+OxNOS4FrxjX5UFZUEbtL1DCJ/SGt+aoAme0jP/Gw/5AkYLsIvw\nLEV8XJv39+2FaJ2Ny+cBtwE3h//9tsGPTPA2NyGlZ0VJyGo+5oAJBwq8D9hqtQwe0zVzbenQg48h\n8BZ7uCRh0anI5ZuI2bomAXAicKv+wdtgvPcCxq3fvboZrToXG8J3Zm7zGxu8owTgjp8lAvohR6zv\nwA/p/Jf2XdpvE/acSgrYq86h/09BGDa/3ib3eVTgXnXvm7yLoQGJWV51hY+kB2+H2cBa0Pam/d06\nxxxBTouN7PrIVP2WuiWALWibgrfWOGl9rHzPCkwT+2YDpR1WiYtfkwC4Bmq5HUmhbgy+tkFXPTe4\neQgz9tbQlIYyW2Byz9jMOOsvt8w7o8FhWUqeagw+Mm+vwVtCuQS0BcDieMZEgLQO8ioAdx5ZehYV\nDbJPz669TUiMIuVm4BYS5m1xucUZScpSMKdkxjha77da9r3Pdsy0lrcq9SXwFuKrZ2fTE3zJWG0U\nf4v6XCaR0w6HLfbGH+K01iZoIYB3b85RGQ349CRxH3lJmxCeTk5Le77hwdu3S1FtbgLcsld3NHA0\nrNHSOyaOQjc+WbrPEPuW/bThDrW/fhY57sg3vuG9rQNuBvZNGfcR3oWeEeo4wL10XK+2qF1WgXFf\nq4M5jtL89DT26yPRnbpl3DoLliCPxHZrByTp9SV/JvSTj5uoLs+GPcqjKroFC81UNVuVSxmgMsE+\n7cEtDD43mJGh2c6oRjOM8ZR2wU62xw57FHESDwFvnRW8Zd5FACBfgxHGrRhrC+AjeoML4yNoa4dq\nXdeF0cpg5QwBqM8TWPfNBJZ/E3A2MG9XWpoixHiHZCwlc8ZMGXPAViwBuA/YCgMRr7zRrelMAbl6\nltbpjL4qXJ4np/Mp0+AN/TYsE5b7CMYC3F76SWlnMtCTxPTQH6xrG8nRIe60tOcbE7yHMCOKtmou\nH6bXHmLnPm4ZPGESc9L2COI9K0updKuW+glTli7nkFFlCuCyXlfg9MbTd6aBdwi40+2HlbR3TNet\nUK+f1LdZqhLDzLuD9gHZdCCh5LQ09usj2+q3vFgx+OqpvazantYb+Siqu/ImqFCdDb9Fdaud2WWu\nijN0M25ZOicpCWMax/0lnGvkYcdhzjTYrQZb1pDBIivZtWd4mudRUUSF85xxHKCE0LEQPjYyFTbz\nZLkn845mYjFNcACzeZxe03qMJSyn9JuZeGzreVl01pY0wdgWXUrSHfBbBrdlcGOLGxlmxYjdfIvL\n9gyXzQ7PcjPPcJ6L3MQlzrHPNgtKPCaka3E1i2pEVZcsqhGz6YTZdExdFzhju8+i77NVf9N1awL0\n8i10RryldibfHfr9me7rpC8UZwLdf+qpZLXW5ujzeZ8GubHBeyWZ66XK761Z6rBPGhh6cyxvAtzp\ndr9mCX3gllElLIO7SdaZgfWrXubQi1llv9brU0BeB9Dp9iw5byyaeV8FAA+rhs0nfuiAY8hp8U69\nPiLgrVOf1arkdGm3dEmpsnTaql34mHkkzaqmq6tkYBUtvYD3nKDGFfaaeSh8AO5zHnPWYc447FZD\nVjaQw9yO2DVnMMYxYxT5aSgWF92+pmwxYcQCax1Z7rCmocEEpXrekE0abOmx1pPZMGMXGrwFFEXR\nsIjr0gQzIj6uk1SkZ8BvQzOx1JOMepRxUI7Yy7a5ZM/xLDfxjALvy5ztgXcWwXu+GFNNRxzMdphN\nJyymI6qmwFvbXV8zb8mXov3FRHGSgre+dwgrJVF7+wJkB6Htuv+QyAQBZyFJ+hxyA0dr46elPd+Y\n4C0y2Lcud8N6zeBnOjFgiMDYAvg64B5i3+tYtwB16sim1UJSqVMVUQrc6VtYB9wpoK5i4Iex7VVA\nvgrYFXBzQgA++NTaeVHe5Armnb6mDeW0eKdeH9mJS5nuS1yNJfm31AdhUrre6AGfLGWwS+jsve1C\ni7TDcUFgo5I/W8iXmEpl8mxtfj9DC97cFIDbTlwA7wzmNjDvBQVTtpixy4KShoycuk3YMmWLkVlg\nM0dmHDZrcJkhL2ryiSFrIJ80ZBmRfRvMge8/pmgQpNj4PFKki5FBi9i9d8LSbxuaLUs1zliMcqbl\niF2zw0V7jqfN83ia8zzLzTzLTVzmHAdMcGQd825qmFuqg5KD3R2m0y1ck9HUGc6YDrz1ZHFDzHsd\neC9xDUM/16v+oKh6oOtGQRidDTms6f02l9PSnm/Muzy08zRLHbBmVysBPP3/SgB8Jbhp4F4FdqvY\ntxY9RBGAXwfgqx70sIceAutVz7UJ214H8Om14j0dB6Q3BPF0lQ4eHFSqrxgIrJPToma7PjKJS8uy\nh5OuDzLAlTm9h+pXItpHSRigAIk4iRUEQCvoWKx2rDqgAz4f2fcZB+ccpoy5znOHt4aFCd7X+2wx\nZUIVnbkMnpJFazE+YIvSLLDGYa3D0OAKKLAUmMAZx0C0JmeKeUtobABvjxGnu4wwuJCS0XfIs+An\nhFlNJuC2AutejAtmo4KDYswe21zibMu6L3GOS5F5LyiRiO+Mhsw1uMpQHZRMd7eYzraXuwbo1OY6\n4dmQz1jN4cy7t0FGAALgmuBoEJdj5EakEkA/f8Dmclra840J3tdSjsXw9HBxUyBcBY7aFp5CiQZp\nbffR+6+EoQFZAZ6D978KiDd5zsO2ixwRuNVhN5KclsZ+feTpuNTJWcRZTdepNMZLmPmKuu3VbrqO\n6HAxma9CPJ+lCelYcCmWGCpm4BkLjceNcprSQGnJygZbNNjC4cuGxmZ4Y9tUDw7LgpJ9timp8Jg4\nyUfw2J4ziv8FV7GRrRiXC/xkQXZmgSkdjc1oMkuT2eBdPndk84Zs7sCC2zG4HYPfNsEzfeGxsThj\nqMYF9TinGufMxwWz0YhZXjIzJZc5w2XOcsAWC8p2IhKZFUtCwoT+TO2EaT5hMSrCoADXzSDWmG7w\nI74D4qSmHfJEYwDL4WOi6W5nK9P9mHZBlxGA1s9rs6Kwa6ljmoGnXn6byWlpz9/d4J0CwlFY3yCi\nHKesAm6R1HlN73tU8F71MPq3BuhVqu/jDlaSexgaP2wK4DeQnBYb2fWRZ+JS1xkB6dTBUULGhlSm\niejxrKczkwvZ0uA91N8vgXcEpgMLz3p8Da40MLJQWvy4wU4a7FZNZgyuyKLjVqiU3pgWvA0+xlF3\n4B2mEJUJNysmdoYvpmQTz6iqMWNPnWcs8pxFXoCHclZRzg1mVmGsx21b6i1Ls23BQlY5skWDqTwO\ny3xUMB1NmI7GTMsxs2LENB8xMyP22GGXM0vgrWcT62YYy5iZCdN8TFXmuAngXZe+VGZO03Hdq8Bb\nFC3iiS7gnRNiuhsfTdo6aFxTd0Pn2q7j0Dz9rDxaMyOVQ+vxN5eTaM9//ud/zk/+5E+2/3/1q1/l\n/e9/P88++yz/4T/8B2699VYA/uW//Jf88A//8LGu8d0N3nA8vL3iE0gHtQl4pzZww8mDd7p9Q5v1\nlb+8EznF9ZbTYiO7PiLgLfNFyvSfokNN7ZLS8epOfEXdTgmaMO4xXX8uzFvswmkWth7zJjBvgHkW\nptAcefwow2w5sroiMwafQ5NlYSYyHwahmnkLGGp2u6BswbukorYFWQGjSY1zM6wzVGXGvCyZlSV4\n8DOwM08+q8FAMzHUWxnVJAMLRRWA21eexljmRcl+ucXlYof9fItpNmZqx8xsCAXbY4cpk0HmLdqB\nRUzcMjcjptkkgHdDBFrCi659zEVOf9pP8faXz5cCt479ztU+bWIWbcSHvmu9gPGUMMVnQz9RvQz8\ntNOAvsHN5STa88te9jK++MUvAuCc46//9b/OW97yFj7ykY/wzne+k3e+851XfI3vjl5niOGl248N\nGoeBdLpMQRuGO6ehC/pk20mAt962DrRTu/UQA9+Ula+5raGxgR0+7EaR06Jmuz4i4D0mfERJiTph\nGbilA0/VnwOSVnmpIxISJuFJGkxku9a2aq1rZULo2MLgDwjJVWKxiyZEpxWQjT1NntFkWRvT3ZiM\nGWMqihhANuolbllQUFJRsqBggTMZZdEwGS+oTfCIrkYFs3HJwWgc/GJnnmzmKGY1Bkc9zlnEggVf\nmTbZS0XOLB+zW2xzMT/Lrt1p055KmTFu720R5+yWQcbCh2QtMx/2nfsRlS2o8jxoICoHxgagXZjV\nanPxRRQclu8kTF3cgXIfVOUmVZfLgbrha++8KXA5/p7QUX09H7zsLyEF+8N1aIWcdHt+5JFH+Nt/\n+2/zohe9CO893m/SVx8uNyZ4rwXbznt4KARIp0QNOUB88DHb1LfqsNK7n1VMVSrRJuB62EhC9zzy\n/P13sRlwD50/vYd1TFs/W/qcQ8uUVQ28wBT3r7B033t13dBOjYNDiWMMEp4D73UiQcoWNd8jXY+u\nJ5YYmMtyqQ3or6bqvvgrzU2oCOL3pqu0U5cUVbsw9YzOIV6HmE3Cem9NYOJlhhlBxYhpsc3lvMYU\nMLUTclNTmIrc1EzMQc+ptiaPceE5IzKs8WSZwxeWOSU5NVWRs7A5FTkYT5PlzIsxB36BwVMVOXWW\nUZlQ33LryLKQmHVBycXsLJfMOS5ylj22l8Bbl32/zZ7fYc/vsOt3mDZbzOsx82rMohpTVQX1PMct\ncljYYE64ZMKkJJeBS4RkK/t0muxKFZ21VD613i4E2+m+Ryi5fGMZaWlAGOqPhrzK035yc9mkPV98\n9H9w8dH/sdH5Pvaxj3HfffcBYIzhQx/6EB//+Md585vfzM/8zM9w5syZI92fyOkA78HNq3NXh8Ni\n0xnC18Mw6rB9Bq7WqXZ0UpYrYcbS2WkQT8+1jrmvu0a6XDUIWdVY5Pcq4F4F5Alw68sO4fxxAJzu\n+696N/2cAGtezXNyAhJn1SCjo2LSiBZ09M3Szaohk0lIx52GCsnxirF5oLbdHNO16bKPrYo+kstM\nWB4bF/FWBGiyAN5+lNOMDJUZcdBsQxns2+N8i8IuKGxFaSrmMWbax5OKarqdftMYXJYx9yP2zHbI\nkR6bi4+Dz3nmyIuGzDgw4DJLkxkaE4431oc3ZDxzRly2Z9i1Z7hszijwHrfR5yEivfu977c4cFsc\nuG1mMaa7mpYspiOaeU6zyHALi19kMLUBuHcVgO8SiO2UZXDWVg8ZNC2S/ZyJKnPdCQyN6NO+SnfO\nup+R7Uftd48uN73uldz0ule2///lL390cL/FYsHv//7v86/+1b8C4IEHHuBf/It/weXLl3n3u9/N\nhz/8Yd71rncd6x5ufPAeFK92Wc2wDFEtc1LsLiXFXlcmr3YcYt2HVSLtoCE9Tco6Vp3vOOAtv4dQ\nNH3o9AVqUN4EuFcwbziZ72KDRi9MEalToy7PKtefuGbg3a0YMK6T5xzW1omAtzZyygteEKjbZbp6\nIvFdJX11qgyK9cdR24R5OxvU37W6rBwmzsriWCXAPVfbRTtbqP89AVhHIVsZI0uVwYEL335mR5Rm\nTsmCUVwuYniS1MMweYnMm21wxjLPSvbNNkUWLdC2IrM1uamwOMiiFiGPVCUgdZeT38Y0rNYyJwwC\n9swOeyakOO2Ae6JSn4blgZ8w82NmbsKsGbNYlNQHJc1uQb1b4g4yfGWCan5ho6nZBLa9q0rKvHX+\nHf3pesDtlUpdf0+pA7ovTPsrq/YZsn1cOXCfZHv+9Kc/zatf/erWQe22224D4Ny5c/zsz/4sP/Mz\nP3Ns8F7ikZvKxz/+cb73e7+XLMv40z/909623/iN3+ClL30pd9xxB3/4h3/Yrn/iiSd41atexe23\n384v/uIvrj55iilmaNMw8+7UoonqfAiIrwTAl+5I08dVwLZq+zp1tHahXaWKHjr3qrLqmPQaQ1MX\nHfZ8q4Bblis/5okMrIwuPcBeri9r8fmI4N2QH7ncSHJV23IPLbUXMXQ2zL1YUndk6Z4ahm3hCh28\nj45UvrPBVupyMh5e0JlBD+iAR2y3e3RqYWGXe8C+we9b3H6G28+pDkbMZhP25me4WN3MM/V5nm1u\n5tnmZi66m7jkz4XCOS5zjl3OEDKih+k298wOF+1NPJU/j2+Wz+eb5W08md/CRXsTu+YMe2aHS9lZ\nnilu4snyeTxZPo+n8/M8k93MRXMTz5qbedqc50l7C3+V3cpfZbfypL2Fp835NnPaRW6O5SYuclNM\nyhK2P+vPc6m5icv1GfaqHQ7m28wOJswvT6ieHVE/U9I8U+CeyfHPWnjWwkUTS3w3e+odis1bg/QQ\n2658ojaP36j9SNqrUPoMDcSi5Rzq13T/cnzGfZLt+Xd+53dalTnAN7/5TQDquua3f/u3+ZEf+ZFj\n3+exe5G/9/f+Hp/4xCe4//77e+u//e1v8+/+3b/jv/7X/8pf/MVf8I53vKPtEH7hF36B97znPfzg\nD/4gb3rTm/jCF77AXXfddei1Ugt3+llMskfbSespHocGBFcKGphO5eOhAyqdFjWj62QOE+lh5ClT\n5i0jTjn/lYpm1UPM2yT7bDIgGRpY9OhxQNcrBOrl4mO73cQnIn0Hy0l/jiInbfNumoa77rqLv/E3\n/ga///u/v7T9ve99L//xP/5Hbr75Zj760Y/y8pe/nK9//eu8/e1v59vf/ja33nor/+yf/TP+yT/5\nJwC8733vWxuecnXbsnQx8uGgn5BFMrCZ+H9NQMw5fZF6KMldkopgYv2SrH3SPIRtw7JDlU6tLlp9\n3fxkzmlJ5KLxpAFfW7zPcJmnoaCuwWQWb3OsNeSZw2Yhj3ltcg7Yilx4RkGFQWb/duTUKg48THjS\nn9oYPLatpyGdim1/Lyg5iMljDthqndNCiXN2R7Y99yOquqCaFTTTgmaW4w5y/F6GX5iuq9Kh1XPC\n4EYGPmLvliLOaBqUoeus23erwVhn2JE6otm3pvEyALR0Oc1lhjHxTtf9VUpENpeTas/7+/s88sgj\n/OZv/ma77j3veQ9f+tKXKMuS1772tTzwwAPHPv+xwfvlL3/54PrHHnuMH/7hH+bFL34xL37xi/He\ns7e3x87ODn/+53/OT/zETwDwlre8hccee2wteHeuRbJcpuJ9pt3/HWzefjVwXymIy4jR6xGiAKuA\n9joVTgoWonqX/VObt0v26b+p1TI0Gj3sBWQD+wwB9yaOasrmrTvX4wL3SgDvWHcfkvtA3nWGHdT3\n69nR5KTB+9d//de544472N3dXdr2+OOP87nPfY4vfOELfOYzn+Fd73oXn/zkJymKgl/91V/l7//9\nv89TTz3FhQsXeOMb38jOzg7GmLXhKVe3LWdqmdbDkmBYlm5I4nl3Ga5H+mNLnVMszRjCzFd0TUSc\njqGfBUzAWhcNOgJcQ1OJevAuVESXecwoB2uosDiT05gSMostHaYIzm7zrOx5mxfUygpeR4V60y4D\nmHdBZ8Fu3oV2yTSdMuCsKAa9ykMpmftxVJOPWPiSqiqppwXNXoHbK3DTHD+z+LkNz+bVO5BBjGSk\nWwXeQ2Ha0OFru02TErmA9C8CymIH0Tp56VtlJhk1ksJ39aDte7U2cXM5qfa8vb3NU0891Vv3W7/1\nWydybrgKNu/HH3+cV7ziFe3/L3vZy3jsscf4nu/5nlbfD3DHHXfw0Y9+lJ/92Z9dOsf7/lNY+pHn\nH3y/5//6f5YnIhmGwrSzbjd0zCzFqysBEplk3JmgtuuB1RD7TsEzldQpbR3zPglHjBQJV9mnNStf\nB+Cr1PnCvCPjPi7zPgy4e8O95cHc8POHLZ/7nOOPP91g9zzZ3tHe7UmC9ze+8Q0+9alP8Yu/+Iv8\nm3/zb5a2P/bYY/z4j/8458+f57777uOXfumXAHjBC17AC17wAgBuueUWvvd7v5c/+ZM/4Qd+4AcA\njhWechJtGf7fuCyAC8Dr6Adm54Rk3bojl7hc8TiTmHDo6r3EhNmwXRKmZARbsTQ5iTrydORN5kPR\n6VSlyeomKOCtm64MCBxgDb7M8BOLtxneOxrvqbynyfMA8sbQFJYpYwW9zRLTtj32CDl1hOAAxwav\n9i6QtKxSrxuyHtuWcDBd5j4A96Ipgzf5tKTeK2guFrhpFjKnSZHnlMR4GrzF7q3BWxKyyDtM+9el\nyD+fnByCE4KAuAbvfbqMexIigDqpTqYufc7ngc+qD7y5nJbokbXg/Q//4T/kW9/61tL6D3zgA7zh\nDW8YPGaokzC9mbhW7yfyvh8Ly+aMpXqBja++fw7T+72KXa1h35sC9yptcIujkUn2AE7UgmmrX36O\nvmjWLS1BgFu7bqbM+7iy6mWkNqRNmPdh6nN7NC3HqtMcokExZlltvgmI3/P9GT/wUii+1VB8y/P+\nj2/+fk/SweXnf/7n+eAHP8jly5cHtz/++OO87W1va/+/9dZb+d//+3/zt/7W32rX/a//9b/4sz/7\nMy5cuNCu+6Vf+iX++T//55w9e5bz58+TZeGer3ZbhjfH5YQwybQgKXTgLTRY7N5TOton9T7VZAmg\nq5gw3QSFJeuQJZ17W09uJmk8hxRlXp1D/28MfmRgy4eJQCw4RxzIg8szsB6XGerSUthxTxuUm4Yy\ncOIwiQkucu6QXbygijNrh2JjOJgUAW/JRy7gPY8BaW0cty+6pSsCcDcFdRXU5c1egbuc46d2mSnL\n4Ebs1jquOy0C3vKuhQtIaQc9Pr5Ln1wEuv4kHT1JfZDcAALy2p9CPr6o0r8feDWdc0Onuj5MTosD\n6lrw/oM/+IMjn/Duu+/mkUceaf//yle+wmte8xrOnDnDX/3VX7Xrv/zlL/N93/d9wydpK1HaioY7\n43SdJc6bi+8Y9ypgWEUWNyn69gz0Qx4GH0iVISRKmbcAtR5d9t9HJ5uAjUl+p+ri4zLvIRV6rs5n\nhk91WDkM1JduN9QDa1xbB4Zs36kHRYhKGHglG8omDmj7j36Bg0f/v7X7fPKTn+S2227jzjvv5NFH\nHx3cZyjJgwbU3d1dfuInfoJf/dVfZXs7TMeZhqf8nb/zdzbycD2Rtszz41JU5MKWhwa1eo5mRz/1\nZfpRBj5UCh7pNn0ohCYlxE6c26QIRkjEWjqerogObibMRFbFE8fbcrmlMTmVH2Gcpy7KdnBpDOS2\nps5ymizHZRnWhEG61hnOGBE81U0L0HXk7bKO9lEyKl8wZ8TUhyQrtc+pfEHtc+qmoK5y6joC90GO\nm+XBm1wwVKu9xbFP7Nxi04YuGECHhmmmPtQ1eR9GN16xZeODxsTEdLm+AJ/Rj+IRpi2xfVLkIot4\nk3Ih6ce0i/u1z7B2LeRE7lJ3JhcuXODd7343X/va1/jqV7+KtbYNQn/5y1/Oxz72MX7wB3+QT3zi\nE/zar/3a8AkVnrTe4ocAd1osDmNcm7RjiVSuAu6jALhu0O2NS4Vb1Xuso47p0F+3pqEOL6UJm8gQ\naOt7X2VjXMW805cmHa7ept7FUYD7sO+T/DYKwLsSBkSrQZz+9ljnjiKbqNnGr7ub8evubv9/6pc/\nvLTPH/3RH/F7v/d7fOpTn2I2m3H58mXe/va39+xkd999N1/+8pf5oR/6IQCefPJJbr/9dgCqquIf\n/+N/zNve9jbe9KY3tcccJTzlxNsyL4xLaRc6b6mut7JdwF2nBU4HnQyspw/cQ81P+nZh5ULsxGab\nEnvRxMqkVJqxCybsAbnpZv6KddEXhpoC4zyutti8CfUzA2M9WV5TF1mbIz3L+vpFj2mBuyGLavWu\nBqeP16Y49RG83Yja5V2pcppFSLrSLIKDmpta/MKGmHiZglSY9lAGNZ2lLgVv7SuQcgwbfzQNuBp8\nAzF2HZuFggWXhYKJx+s6A50JReL4RJ1yoD5upj6eqORT58f18h2hNl8nn/jEJ3jHO97BU089xY/+\n6I9y55138ulPf5rnP//5PPDAA7z+9a+nLEs+/OGuk/qVX/kV3vrWt/Le976Xn/zJn1ztrBZrZkiw\n0tWCnip8LaNysSjgTrXCqxjcUQBcMNV0d7AMeumDpQahozBvLSnQb8q811HMozLv9IXlSUmuc9g3\n2ISBH8a8jf7+wr6HB3tLoG7ie70K4L2JfOADH+ADH/gAAJ/97Gf5lV/5lSUHl7vvvpt3vvOdvP3t\nb+czn/lMa5P23vPTP/3T/N2/+3f5uZ/7ud4x3/zmN3nhC1+4MjzlqrbllnnrOj1UZwUlZemSIp2z\nLJPBpwaLIeatRbbJvN5DWnlh3AXLTVIzb6nmC3rE0DtL43J8ZakXBSb3vfFtXlQ4n+GsxeWGnFxp\nDF1bc8OMXyUZNZ1vueuxboDGR+btR8zcmKmb0DQZdZ1TNzmuynCzDD/LcfMMf2BhZvALg9cDEgFq\n8RPTRcfOp+AtHEPit9Nket4H1u2V+7/NI3jrYHzb5VBvgVhs3NoHImXeOsRwRAfex2He3+Hg/eY3\nv5k3v/nNg9sefPBBHnzwwaX1d9xxx1Ic6aCY9N8IwsB60JaOW/3WzHsVWTxMNatJpVR0Ae8egMdO\npXVeg2V9nUuWhzFv6S0sy5J2iIdJOmhIZRPw1gC+DrxjAzArgDvF+aF3fRRwV1oaa8QW6NsOL9zC\nskPjoPr8iHK1bGSiDhfQvP/++7lw4QL33HMPd911F+fPn+fhhx8G4POf/zwPP+FvcwcAACAASURB\nVPwwr3zlK7nzzjuBLiTssPCUq9qWuTkuxe1bMyFdKXT9gr6rc2qfkmUK4F6paOMmzbh93FfqpLBN\nDfa6SUmKVJ0fXduB4xzcrYZW5UL3jaGpcpo8btN1vYC8qWKClaApLkxO621uguW7pmjXZaYh8908\nYBlNsJL7AOSVL5i7EXMfgHvWTGjqjKbOqOsMv4iAPc3wBxnMTDdNpwCwmBD247Npe7d44wuHGGrH\nEsklfKPXnQl4NwHADeEEJgMb0+C1Wp9UTSLMOzHFtR9Kbk7P5y3ALmqEzeU7wuZ93ST9hvG3SXbQ\nDhtdUeuMdMgeY/1qgE6BZFWRyquTRWnMbEmCCY4Z7YVkJ0sHxBr15aZWqc1lpJDKKhazSlIwTiVV\nP6SDixRVV6kr4peypv94OmX1ccoa1m2s7+U1F9DWsbSrQsdaOY4VgqtjI7v33nu59957AZbirx96\n6CEeeuih3rp77rkH54ZzCZxkeMrR5WJcClLO6byb0sm3dT1ax9KHRlg+AkMDrolAEdp+O5j2GSFV\nWg7e9puCboqiGhZgFrKoAV6LHmdIkflXyvjoJb1uwNeGZpZRNSXMPE1eYKzDWoe1HmuD2c+aBmMc\nmQlALd7q1jms82HZeCpXhHSnfpvKj6mbAtdkuNpCHULA2LNh1rQ9uiQ2oio/ICRekTKlH7ddJc8o\nn1JHcWXxubPk2Bo6O7b0IYTf3sauLYJ7j8LrbC7QUX/ZnhEiFc6rl5zR90Ss1HGbyXeVzfvExa9Y\ntmxpmUUtA7hi3ocx6ysBby06+YMxdA5somLWwK3Dv1JPDykauFO1OQP7HybrVOawDMhD4L1KbaF/\nCw3meO/52CCu/B1UPZB6MQzaR0TqATktarbrI5fiUucmlawpJaG31+rQQh2bqs1hpWrExw7dVWAq\nMBHAjYtu4Fm4ho/6cAFvaX6pckmqv5hV5RMnhGKJkacArps23fW8sTRNTjUDZyy1bTC5DyXzmMyF\npXUB1I3D+Fifvcc4j608pvaYytO4kCd97kcsGNE0Ob4xuMbiaxNyk+8a/K4J4CwOaHL/MlnXReDZ\n+L8eP4l/gM6YpgFaTA8ZwW1BK1qk6/LSUCPsiHOaJG4RVj4YgK/rhA4N26YbIcnNiq37uOB9Otrz\njQ/eg33rOme1PoibmO9aOvc2BvQ4gJKCtxaNh1Lpe0N5rU9qkv8120jBW7PvoRd1FLX5Onu8bNfg\nnIJ3un0AtPW5V6nIj8O+V6nS5bsOMG89oNNRCIMgfmide06OJ8K807gjQ0A30TeP6WyVUtfSwOt1\nNo3YXvwC/DwAOE0A8ZYWboXz+gIyHzRD0hT1ZbXLhoC37JOa4lcBd5r+M3Eb8bWhqXN8bambPNTb\nwkMJpvQQQZzMBXu58ZK6P7gBNWDmwMJj5uCboGCvfeDm3tmoiAjP6A9MmBXsImGpLReGjnk/CzxN\nZxIQEc98KXWyXZunC7oBURNVpi1Iq37MJ8zbCXhrPb0eHQjj1oRB2LaMQCRuTUYOcq7vPLmxwXvF\nxs7StYp1K7V5a/NWAN4mc+BoIC7gLf40tDeyDNwm2eChn8FAO6MNGonoKmXGMECfJPNOwXlIbZ5u\nT/43K053XMA+jHFnvgfixsYwMePWAne4PVmueJ1HkNMyUr8+IsxbUFCKrvPpIFfqlKCf7CemnjVq\nc2H4Xub+1CNuQZUIKDKjlW5aqfVHxtBV/1K9cfMQiGvMkVtWzchj8IsMt8g6RYSymVP4WL8DkPcA\n0BuVOMX0ncn0PWrsOyAAt5S5es0ZAfPE3r1HB97yWWq60DFRqadaCjE3iMZhEe8fomYE1AsIv9u+\nUuzhVfx24k2uv78+h3zPMR3Vd3T2ANHnN/Q768PltLTnGxO8lYRQb4+Rgl8KHRsG8ZjywDQY22Cy\nBpNl+JZ5HwPAdV8wVB/Sjl93Ch41+lSVt8cyhnRyQ6rDoeVRwJsVy9S+YJLjEsOgzlWennqVjbtQ\ny8MA/TBHtQjgQc3YBBVjBO6MJgFw7X2uwse8ZuHdwPAo0rjT0divj+gYXAFq+fATgtpzi36e6gM6\n5EQdl1ayVf/rAUAej8/BjMBEE5aFXkygbj7pqdLmoB9HK8kERGfqt1YYiFPYHt34XTu9ajV8Zvr3\nJP2Fvl5lOkWGdrqTc2vNs4R8iS8XdOAO3cxqI+BcXMq9tKZAdS+pR79kOBWttXMwbWARQXmJnCgC\n4+UC2sFsyKkoJQ3yEDJi0g6R8qDSEW0up6U93/DgHTpUo9qTD2BuloF7CcCFhVkH1gUVVGbwmV0N\n4OtAPCUCy7falxR3PYQMTNITSOUaYtDp0H7V9qELr5Mh0B7qrVZ1jElpU56y3NltAtzHBnAfgTt+\nV+swtsHapvXW7WtitBPbMnC36shj6Mzr+nQ09usjB3GpKW1OYEtbdHN4Z/Q9qETVrTvrlMamoitg\n3t/X5GDKuDTLwL2CIfeWJtk/BW+dEE7ixvX4YWgsrB9Ps3ji+SQGu+1zTNePyDX1IEHuVSs6dFy6\n+ApCn5mLGnxMZ7dOndLk2eU+U/GoSBwP8waqKvghtA+VjPC9jd8imjx6qu5VH0PqkTyEBv3Ui87Q\nhZptJqelPd/Y4B0rWehYY2drSBh3x6g0cAfmFTpzYd5kDWQZJvOKgbMZcA+B97p+3qj92+MiQ8XQ\nD4vQy3Td/9/etwfJUV13/273PFYCmfAIoERIwoD14CGtwuphbJBVCGGIEOC4MER2ErBLJQPCtniE\nABUgBRSGAMJVyIpjle0PEEkqcSIoGwHCkgAHrYjA8ScWAkQEOx8GZIO00u7sTHef7497T/fpOz2z\nM7uz0o64v6pbPdPP249zf+d1781ypw/Rv1tVwVrFtrph/TbL2OJW1V50+SzzGb8Hs7x9DErgit2K\nfgT4ocnOtV3m2VnmqRJ7dYb2SMNgdIvRgQVb3uxPle5OtrzHmX32Iold8qTa/JHwd8nIInBl7Wd/\nNHlN3p6X/sQZtQici72vTd4yKsCjtnJYNsuKLSCdqydd7xGAAaWnOC0p4YJX6evLSFwt8pZjukuD\nVqYh8Dn4tVSgXejcjsnHbZM310O67omAMATCMhANiJMITYgkIQeGvKXlnRXCk8kvXBmZHSfJW5J9\n42gXeR71tUzc5rDc5tkZxdWWdwjlR/D8ECoXATkFyqnm460c57Z5s5YBwN9NnLjB65VIZkMNsrCt\n64wyhIkmqutZj8CzyNtaZXvZM9rKqmfYTBnUIk8sb88PdVGh7hNruc1TSYxVxK2/LQyRwMM20dQP\nDMritxkGM85s4njlWCTxSiA9mYRstPnF2KZwJJZSMPkjNB+T8gDloyrME5E5VNV3fkGs52pwIVRb\nqnybBaTntOax1JkoO5DkXXHhqc77lXZe1Mq5sgzZeBkhndxvd2bh7HHZ7Z7rwK+J6ynvWz4TGylP\no4wBsOUtGwqF2F0QdxGTfn47qUjepJ0TIa3vijiHTfSNoV3keXSSdyw8BBh3poqg+zR6EXxJzhnx\nTe4L6SOE74XI+QH8fIhcECLKK0R5T4+CJImCexvYce2skDMjS0OXAtjI+TINb/lhi4tRE+Qt3XS1\nIMlbCQFJ/bbuV953s+RtE3gB1dZHVsnYR+UBlSd4+QhePkQuH8D39fvO/A7ib8QMhEGiRBFUpLvf\ngJpXjNpF2A8M2GVpa2TcAPO3zqTOo6Kw5cTbuTGX8RggabgjpNmIj5VWu5cmbSKTDU16XaCSwtzA\n3cREYmTMCfKbZALnW2b534ckAiDbACbHkng08jpMvuxFlslvQDWPKWsffixSYcjKhpc9sfrEuThO\nLkdbq1jXsEk81UZKtwPvaMchbG8jNxDsyqiXgyO1CLs/nn2NJhPW2kSeRzV5x10jIoIXaesoJnCl\nSZwb5epGWo9K5HkRfF9PwRflfSCvgLyHME/6Nw/zJ91KtUjXhk3aQyXvzFw0JmtlbVOxUlPv2cX1\nk0u77kBC1FlL+3jL6zVk8ualTd5ZBG5vi/dJiNvPB/BzRknztOWdZXUnMyELAo90v1mPXecRkhF5\nG0RQaQ9hPzBg8s5KZLA9PEzeCgljyWAykI6nAGkBk+TNwWYmDY6tstXNilqUKGuBl7QDsL5/22Mr\nv2Gpl/B3L8m7T5xDeq3qJWIyf/Ht2x4/vj0ZVZAhOrv7Gk/OxRnjMqQM63qycJso+3bbEbtInCPe\nJsmbXQH2Q7DDgjlxstDav1bWoKys7ZmR12gc7SLPo5q8YYhbkTIETnr0oYxGuZbb3PdC5FSAnBcg\nCnNA3gflqZogapG33UtBIsvizhpfoBZ5y3NnCYBN4LFbrwa7ZLn0bXmpugdVvY+9znaTZxG33Rg1\nEobIIm/ZGNbaZpYqT/DzEXJseTNxq2qrO6XUyZg4RVCx5c3u8xrPqgaicHSK0eiAJG+b5dgny26i\nvFjKOSjlzBfS8pbCZWcbc4ydz20+XAVD4oa8I9KZ0YCRWU9b3lIu+dJS97CVzCK03jEWSbxbDmoS\nIf392zF05jpp4duGKS8JCS/ysWwtV2oseRAWLjKlgI3dEkyMHSJErRLFwLa8ZX2qKspej1oZezI7\nr1Ymum2JZBG/tLwjsa/8tpoT6HaR59FZS37W5v1xw+pFxlVOabdolovUh27Ic14AnzSBh7kQUS6E\nykdQeQJJ0rbJVmaO1nr/g2nPuYzz1SuUVVTtdVnPzZaBeuRtbx+sZBF2Lau7EQKXQ0gOZoVb61We\noNjyzgXI+QFyKtDx7rqWd5gQOEXa6jYuc1WvJ0E9tImb7cBAjkttu8uB9AfLxMxWOZMy7wdUu0Sl\nWWiPqMUvk4+xGJDJO2TLm3SJRw+jdHeq2OpW1d8mG46huARPXrLPrJfKp+SnyDq/7Ziw485AEsaV\nj0OGfaV7nPto7wPQC931PkB6bJwIST9vrq+dL8htWNbjTP9IKq+kbJhnnjrQdm/IBLMst2StAuv4\nRjOLM9Am8jw6yVvkn6gQ8IxS5YXQk054BJ/SMW89y22QXZReBl6AyPcR+hGQi4wL3QhiQVUTrA2b\nwLJG8qtlddezvuuSN6q/Uft7tIXIJm9kLJGxfX+SdxYpF+uUAoACe0wIyOskNd8LE++Kku+9kvoG\nqqxwCuETwY9If1chdGim1ruvhzYR9gMDNg+ZtNmny7N1sJUtrTA289hfLK10do+zX1q61NnKA9KK\ngiGBeMISIyAxLyitEIfK6Aqk3eqRIW8m90iZy5p9Yy+tSogaSFzSTKbSmExlZCdVS4WjmHtsuZde\nL6Bar7EtbnuKTw4j85gmWe72ON/G3K/dw0vmmvHzqZkPJDx4iKAHYOFiJ6Sxoib981K7seME/F6l\nMigtcX4gctkg2kSeRzV5K+EZ4cbVI0PcWZZ2FYlXkqVp3EMvB5ULgXyk3WMFpV1lWeRqwyax/U3e\naHJZi7jrLfen5S0tEZu87WGv430jTd65CCqnCbwR4uZlKvbNMW/zfakoKU0hyHJrOGjYvl02SaV7\n3HaBS3cVkCZvJn5WBCRzcAPP55b+adKEEQlhisnKM+QNPfBJRIYLmPAFmQUK8LzEw8+jNTKRsm4h\ndIb49tlRkBUik72iJBlnWv7mP0cTmKtkjFpGEZi8I3M8W9rS+ZEiYRE2YP1JKg7sBQ/4uQJxeE82\nJqyIeOZhR2UgLAEkp/CslaFnW1LslWGXgFTOpGJou02bFWa0jTyPavLm96bYAue4N1GcrCYJO1lW\nW905CuB7ge4y5mvXeZygUiDz0avGLG/+Vg4EeTOyPEn2dvsbtF3o9bbvT/JmAh/M6i6QsboJKh/C\ny+l+/L5nk3cQfwf6+0hb3rErXbjNPdvwc2gRmLylmckfp5wrUyaMsLAw2NwD0uxoQ36MfF5zHJkX\nS6ZAIZ4og/sbh4aIAlFXub9S0N3NoImciTunEmNxQFRDkq10k2cp48xP0mPM55PzuLDSwPuwlS0f\nLTsuBpAei5yVhA5kh4vt+snzyUS8PBC7vyPjpUhBpdsLn2+wDFAfQHuhR1WTmrkkb66wrJidrs/f\nEDcerADaHdrld3RwYdSTtxKNqhcCnq8t71rEnWV15xEgpyrIqTx8X2cmqyiEChUQembwflX9AduQ\nJDUU8q5H3M2SNxrYbsMm48G2N0PeWQTeiNvcTvrh0oFMAleFCCjoWLfnh/BNrDtvv28E8TKX5aGh\nUHtwjNtc2e+nGTTplft4gWPeLMjCnRY3tsx8svFlc0+apEqcC6j9QSskzMkmL6UJPLWvEoSVpRVz\n8cS5lPjOzX8JJjnWXaQlXsujJpNeCYnlXBL78LmB6qnOJaTrXLrM5aOUikPK8qb0I+D/OXOPHi8p\niWkCqHof7Dr3TIWiCvRsKn2ozgjmSvM6ueTftuXhW8fLOtiZtU2gTeR51JN3Ss4jk7RGuvGtFePO\nx6UiSoBAVRB4OYR5bYt5RIiiHKJI6Vl45DfAip384O2EEjktXi3yztJuW03eqLHdhu0ez9reCvK2\njR+72Nm6bFHUiXmrIqCKEbxiCK8YIFeoIJ8vo+BXkFcV611XDJlXYLvQpStd9vGuUrKaQZsI+4EB\nN5z8AXFqs4xPB0jcnnyMdHP51m/fOi9QbS7awmG/VLbKZJck+SHL8/M1RL3IuNDLxiLPI11NQtI+\nlJDuOsnWs63gc+ifSVlmq8sqco8qmZwGcW7eLgt/o5Kwyd7PWNJyPAnekQCEno4HK/OugjIQ8kQi\nksChvRmRp/cNPYDMMKlRKNoqedP8jKUlLhtT1m5YC5J9+/mGuUO67KHgQTciTaBN5Hl0k7dluSp2\nmVNUOzmtqhHXJF5AGYHKIfSNHaZyqEAhjBQQeQh5hiFJgo1YljIuZRdbgWw1eQMYMnnX2j5c8pZL\ne0wOubS7izF52+7z2AIneMUIfjGEXwyQL5aR9yrIe+Wa5M1KXFqxS8jcpxCKoux30wzaRNgPDGwS\nzLKW7U7HWQInPxq7rxULiNSa7W1ZhC4tP3bBymx3Jgp5LVNPjn+zOzxA8i1LnYSrk0MyhDsP6sLW\nryRxJmomcS4sU/wIgGSGL06U49Haxpj/tvETX8eQcWwd8zr2ThCqGy8FRDnDiaaCYQUI+6Fj2HLa\nNejKUg4Ic3qJEIjKxl3Oz192Iuc4Ggs+rAdgJ7DxcfxOpReHtR/50JpAm8hzk/6EBNdddx2mTZuG\nWbNm4Rvf+Ab6+/vjbQ8++CBOOukkTJ8+Hc8//3y8vqenB7NmzcInP/lJ3HTTTbVPXovcQoJiy7vK\nTZ52lWY25qqCvF9GPl9BvlhGrlCBXwzgFSOgSLrwiI1cpECMsdbJ9bXK2BEuhyA9v0O9IvcfyTLY\nMxns2cnnb4g7Ie8AuWIF+UIFhXwF+SrLO0gtbcKOC4VxwlrK8h4KedtzOTdSRhFGVJZTRCw7RHcg\nm+Ug9rfjLKzNZX1orAHK+Hg9DZgbfJ7qi601uw5ZRSS4DShNnvbhQJKBvge6ixZPVsK3IpOmOQ+v\nH3qI916z5EFe+pHO5eJz90LPwf2h+c3h4izLuwygn/R595rfPPtZCGF1S7Y3pj8ZKzsI9UxhZWN5\nR1xh7kC+WxfaDUS9QLQXCPqAoGQs78iyvNmNXjIPogDgUAC/B+AT0OPeHyreMWs2ZSSTkP8OehLy\nD83/fUjHCpq0vFskz5MnT8Zpp52Gzs5OzJ49GwDQ29uLJUuWYOLEibjwwguxd+/e5uomMGTyPuec\nc7Bjxw689NJL2LdvHx599FEAwPvvv4+HHnoIGzduxOrVq7FixYr4mJUrV+KGG27Atm3bsHnzZrz0\n0kvZJ7c1RvMdcdKaTyFylLakssi6UEXe2lor+GUUcmUUChU9uEdBE7jq4ELAGEqTzGDk1AjJjlQ5\ntIkykvWoR+KDkbq9vYOgOih+J56xuHOFAIV8BYVcWStiXhkFVRbvPPltfx/S+vYRwI9CqCjKTixs\nBlnHD1ZGEUZUlqtiETJmkup3hLRfuJGEiayO0UDa5VtlASDVqGRmOJM4lw2OeRsXc0jpLlp8q3zq\nEoA+0qVEOhlODsPL46qzISnn1WZOk+5zOdxpqcH9pTewYm+LdAkjQ6wRqsclHwCoBEQDQDigSTsY\ngJ50hOdOlyc2wXoa0MdEJb1fVAGIXeAybMEPjnMVZKMrNXrWdtgtUTI33YtE25GaDgtak12/WiTP\nSils2rQJL7/8Mrq7uwEAq1evxsSJE/HGG29gwoQJ+O53v9tc3QSG7DZfuHBh/HvRokVYv349rrji\nCmzduhXnnnsuJk6ciIkTJ4KIsHfvXhx66KF4/fXXcckllwAALr74YmzduhWnn3569cll9zwhGCog\neGEEPwot93g5brjLKMRLXsd7hfDBE0MSlE4ezRGUSSoJvRwiz0PkeSDPA3ylkzRy0F1I7PYjKymt\nltvcdo/Xc5sDqGk0NOIebxZ2LNz2atZzm9vrZX6RHee2vaB2V7E8maxyQBXIxLh18QsBCvkBFPwS\nCmoABZRQRAlFDKBgiv5dTpV81bISfzs+hfDCCIoH5pDvrhm0iZutFkZUlvGhWeaQdl1xYJjjK9xw\ny1iL/Kikf5rEf0nKtilkJy7V8iOz4pBlmXOxBE950LOT+brkVGJB95vdBwxZ8xjqJQB7CFCk9w9U\n0uMlUFXtXZUOwnwlrXVC0nUrQuJCV8geGz229sWJw0grEYEyOhYLvLwox5TtPvcetOY+BtWNlVSm\n7PfDypz0qshkAT6GE9OsPvvxDVHGdeTNyjhDg2ihPJM1GmZ3dzduvvlmFItFXH755bjrrruGfO6W\nxLy/973v4atf/WpcuWnTpsXbpkyZgq1bt2LSpEk4+uij4/XTp0/HI488giuvvLLqfLc+bX7kgfmz\ngPmfhfmgE/LOk21tJw10GfkUaXPaUhgTt/m84nCI0tPKehFCI4zk+WbebwXkPH19qfRLTdsmb15m\nJasRahO43XbUIu9WEngWSdvkzdtqEbed6yNDTTLWbZO3TFaLl2RInK1tY3HnAxRyJRRyAyh6mqh1\nKcclH5fECi+Yb6MgvpE8KrrrYKTJGwFh04vAphegFXeegrpRtJi8wzDE6aefjgkTJuDxxx+v2n7j\njTfiH/7hH3D44YfjkUcewdSpUwEAW7ZswbJlyxAEAVasWIGrr74agHbVLV26FC+//DJmzZqFhx9+\nGIceemjmtVsty8Bas/QBzAIwz/yWadjSTW734ZUfo4xrA+mYrK0928cqaz9b+EQmOYBqwrFiKcoD\nvLypqpdkYHO7EBniDgwxKgJKkV4GZPjEWITKT1+KyVaCb21ArJOJavwYeM5uiEcRmHvibm0+NHkH\nERAEQCXQykXk6xJP1cnKEmsAsuFhd3QB2kJm4rVj0LZFI2PS9kQHrIXYafTcDYwbJDs5RSobfJ0e\nAG+LczeBRuT5lU3ALzbV3UUphQULFuD444/H5ZdfjgsuuADbtm2L5XXq1KmxRT4U1CXvhQsX4je/\n+U3V+jvvvBOLFy8GANx+++0YN24cvvjFLwKo1jT4Jmxk7ce49Uzz4xAARyJ+5yoAVMryTgibG2q2\nvSsWeQfIIzICra+skzWU0UQpD+h5ofMgjxB6yhA3gAollncF9cm7XpHEnUXe8cMRy5Ek8EaIW766\nLPKWBF4rRFirD7idbW76cCfkHZjkNJNZrgZQ9EooqoHY6k5b3rbVXUlZ4KlMdKrAjwJjeQPzZwDz\n/xA6dLYLuG1DE8+xxeS9atUqTJ8+Hb29vVXburu78dxzz+Gll17Chg0bcO211+KJJ54AAFxzzTVY\ns2YNJk2ahEWLFuGyyy7DkUceidWrV2P79u34xCc+geeeew4nnXQSjjrqKAAjL8vAWWbZAeAwaNOQ\nJ6uwPwrZmMsPjFHPBS7XRcgmb9stlroLpIXKchvbbKp88x17QN40o6mkMCRucTLWbcm4qPuiZGRH\nM1GSzl5HQt7sDJDFNkhtbmPXe8pYMG557t/NXmkioBTqOHZYMR6CgibuFHmz5d2PNBEXoOPSReiG\nmseR58JBedYmbL+9TBDkOVHt0WfsrivS4peWt3xnHK+YDOAUJDG9/4OG0Yg8nzJfF8aPbqva5YUX\nXsD48ePR09ODxYsXY/bs2YPISnOoS95PP/10vc34wQ9+gA0bNmDjxo3xujlz5uCZZ56J/7/22mvo\n6urCuHHj8N5778XrX331VcydOzf7xIO5zSlAjryMOHdC3Ow+l6lKEXgWZwMjFOSZT0BFsV0eKQXy\nCZTzdD/OPIHyyiiOCpQib5VN1lnti03Gss2xkUXerXSfN2p18/Ys4pYEXiO3J72OYllUMWEDygx5\nilxkxp433cGKFeQLJkdBELYk7sRdnu02T1vhiTqnLW+Cqowet/mvf/1r/OQnP8FNN92E++67r2r7\n1q1b8Sd/8ic44ogjcOmll+Lmm28GAOzevRsAcOaZWvM955xz8OKLL+L8889Hd3c3Hn/8ccycORPb\nt2/HXXfdhX/6p39KnXfEZDk2D7lvJTfe3PRI7c925fB2IO3q5sywLA1YWtL88TFRS8svEtvFh51S\nTiLo7Gj5UUjG9LX2z4OUSGM9NCvYPU0mplwx9ct5SZIsd80KoA0F1i24j7Qn6sSPIasnW0hAmbS7\nPjQblXiG7GH2zR9lFIsoMPuHqLagZUMlnx9rDzlAmeQgko0eax/yvUnNhm9AxtekwhAl5095RWxr\nR2aTZ73/WrkLddAieR4/fjwAYNq0abjgggvw+OOPo6urCz09Pejs7ERPTw+6urqGfP4hu82ffPJJ\n3HPPPdiyZQs6Ojri9bNnz8Z1112Hd955B//93/8Nz/Mwbtw4ANpN8Nhjj+Hss8/Gj3/8YzzwwAPZ\nJ+eHJ0MkZQAVghdE8EPjNifjHlWJhcUWdxEDMWnzMC6U+SLJfP+kZ6PyzRSTCBF6Pijng/I+otAD\nVTxQRSGqeNoSD5QZ4AUJiduu8iy3+VDJG9bvVqAegdv7DUbetts8ReIUlP4cNQAAIABJREFUk7fy\nCchRPB93PMmIH0Hl9Ah4fi5EPm+6g5n3W8wg744ahF5N4ka5M99MPgqQi0J4QaQbTM614dybZtCI\nsP9yE/B/Nw262ze/+U3cc8892LNnT+b27u5ufPnLX47///7v/z7eeust7Ny5M3bHAdqVzeQ9mKtu\nRGUZR5glm3we9APj+Km0uuWIWzLmLZOUeOSSyDqWrT3bjRWzldjOJixPvF2AHkigoC1qz3zUkQeQ\nr91yBKSIiYdale+e9QmWh5SibbmoSAGhCccpw/qVyLivI+gR3LzEjc3dWLkKtpxGkc4ED0NNogr6\nXrh4KrHuB6B/xzoQEzETtBIXKUJnuvIsTkzEBUCNM8Rt3o8qA1QCSI4uIzPoZL4Ck7ckd9mQyPp4\nSDwA8jzSIieklQNp2Y+A23wQ9PX1IQxDjBs3Dh988AE2bNiAb37zm/jwww+xdu1afPvb38batWvr\nKL2DY8jkffXVV6NcLuPss88GAMybNw8PPfQQjjnmGCxfvhwLFixAoVDAmjVr4mPuvfdeLF26FDfe\neCO+9KUv1UhwQdJ4pogbUBXACyPkohBRBOSR19YUlQ2BV1Lu8vTYWl4Veaf5h/QsZH6oj/JChLkc\notBHFPkIQx9R4COseEDFR1TxQKEHFShQ6KWJ2/bgDWZ1Z8W8GSNldcuHUP0wsver5Ta3rW/boBFW\nt/KjeJnMxx3By4XwfT1qmufpubnznunaFytnMs5dqkHiHAPPIHGy3OZhCBVEUMPtytWIsE+brwvj\nsWo32xNPPIGjjz4anZ2d2LRpU+ZpiKjK9ZblypbrB3PVjagsx+TNJMrkLRtxTlrjxpeFgxtnIE3e\nfWafjox9ZMa4NDX5GbBpzM+MlYqijmF7viZNEPQAIz50P2VKn5staU5Ik25s6XUmsZTmMkG3GQDi\nvtVhaJLHQk2oUc7IliHeLFc6g/j4MrRbENq1pQr6fpSX1lsIeoCZUGWQN+/gIVFwrMZK5QA1RpO3\nMttpADrtfa8m8ViYAnFeeRPymvx87MbFPK84+072x5NKHz9bWMfJZYNoAXm/9957uOiiiwAARx55\nJFauXInjjjsOy5cvx9KlSzFlyhTMmjULd99995CvMWTyfuONN2puu+aaa3DNNddUrZ8+fTq2b98+\n+Mlt8jYErmLLG8gTacvbkHZiedcaFNMzMe8E7ERX0HOE+0oTiO8F8ClAQDmEUQ4B5eBFPsIgB1R8\noEKIKr7WkgMfKiRtgUekNWabvAezupsl75FAq8hbEnb8X1vdyieTVxAZ8tZejpyZ1pNnB+OxyvOq\nEpeEvCWJ17O+yyIGLroNkvlNAfwoSmebH+B+2D//+c+xfv16/OQnP0GpVMKePXvwla98BT/60Y/i\nfebMmYNXX30VixYtAgB88MEH+OQnP4kjjjgC1113Xbzfjh07cO655wLAoK66EZXlmLy5kWaClgTK\nVpLM6iYkWehKHMPdgwD9kRXFftzqMkFkmcHSugR0E1hMSIgzxwGdCU4+4m5dsUVvzh8S4pm17MRN\niF3jexQ7EcTxpgGgQLuwyVibPNkHT6tZi4sUTB0DQ9wlcUkP8HPJI5CZ7CF0hnk8tKtsuLi+RVFv\nCc8QuHlmMN3CaC+Aj6Dj3baL27YU5PsAqhsXqfmw4lYW+/P7H4MkW52THYGhx8GGj+OPPx6vvPJK\n1fpx48bh3/7t31pyjdE5who3nuXq4lUIfqA13nyoG/iCpxvpohqISZuXyWzO+mPxROTbM6TNM03l\nVICKSnLXA+QRUC4puRw8P4cgF8LL+YhCHxT6QOSZZULcxL8lSRMg5+cme7uN/UXcjMEIXMiVSpE3\npRsu81t5lCJw5YeAF0EZCzuX1+PM5/LJfNxcsvvty6S0AXQgSVzrQCkuxXhbsixQWZdIZ5rnghB+\nheCVKd2lZijk3SKyv/POO3HnnXcCADZv3ox77703RdyAJu9vfetb+MpXvoINGzbE2eC/93u/B0Bn\nnE+cOBFPP/00/vqv/zo+plWuuubBbnhmDH7AzHjSLS4LEznHYdnVztYXm7ZA9cdnr2PLka3nAbO9\nAymFQRH0LEh8CqlxW4hj2cbly9OFKhi3OyE9YD7Xia1thTjWzfHxKk3eWPw1ZV8qOuK5KXabh4in\nyaPQELypexQaZSFM6pE6nxRwGcKwGonY6xNBZxQH0P2+y9b57PchuwNmuf+AdA8C+d2QOI+c1Uh2\nDSMkqflZMck6OEDKe7MYneTNz9wodFzUAEGVAM+EUnJeiIIfoJgro5IrxURNUPESkN4sno0siiPh\nPJFFHpUUVRTksB7KuOA9H4EZXjVQOVDogSIfUaSXRFqL1aSs9P8IZn2y5ArxdpCQHxup9fJ+mnQF\nZUIGEqi+l4nllImZk3RiGaZkydsVGZInKEVQXgjPi/TSN14OP0TOC3TIQsmBVKoJXLrB2TVeNATe\ngQGMQb8pfegwv3k5hvpRDMvIBxXkgwh+ieCVyHxTlPrOUt1xGkGTbUOjYLc3u6uXLVuG2bNn4zOf\n+QxOP/10HHHEEXj44Yfj/R944AEsW7YMlUoFK1asiDPKW+mqax5sJYdIjx4CVA9oL+PeQFqbkn2y\n2c0uY538m7uhcSITM6okbna7CwuPBoAor13NgWkW2QomJg1JHKxw8L2UE9c2CxBPKZryp9vWJe8v\nE6/kurS3MIFN9kzYJgygzLMg0tnkqmII3OxLIeJBWWJlQbrQgMRqLVn1MW41Hr/c8/Q5Ix+gDuiR\n0QrimbGAyD78Wf1IbWUOSBM4P3tJ+qzo8bclLfohutJGSJ5bDUWtzF1vAZRSoKXmzxhor9sRAI4E\n6HCADleIDgfoCIXy2Dz6Ch3oK4zRS28s9uEQ9CFZJs35GGGHFVHdsahqPDZNIyQG1YxyCCM/LhEZ\n8iYPEWnyjgtU+j9pwdBP25A5/2dizwLZf815WvGs4zNS1obq/WOCFuQNMsq3IWhZrHWeCuEpQ94q\ngu+Fccl59jSu9nCnFettDVQROL/tsejDGPTjEOxLvoSoD2PLJYwt92NsuYTCvgrUhwTvQ0B9SFC/\ngx5l0RT1PTTUrUMpBfxwCG/jz1RLu42MRmjl4wnzj93eXHLQiVDjTGHLiRvyCpKRs/aY4+WgAPYA\n+OxaZ8LxkR6yrwzgA1ECJENvjgPUWEAVAc8UKOjhPM2oYMSuZCBNcrGbiQXDuKWQWLkxf9vkLRP2\n+BnJ5C1JdDaJszJijmGPAXvBFO/DCBF3kSGTuBcb3HyArA+fn61eWNs5094sOeZNZb1MZX/y8VI5\n43vKIm5+/zzowj4k/edktrpMcPSs52f//vxBJ8/tY3mXoGeTGyD4JQXqJ+T8CHkVoOiXzSiDKmV5\nA2mak3OA20Oq8uAuVeStkhHTQ89HpDyEnj5LRNrhniyVccp7iIgd8wpE7LbnjmjGQgdTJ5P6YEii\n9K2zvFPD1tS/ukrXAEr8NiEIJu3kt34jniJ40KTtIYSvwjjPwFN6Kadyzba8yxaJpwmcSVsSOJcO\nKqEYDiBfCZAbCOGXjMVdAhR7Y4dqee//kFobYZ9Zypg3kxN3Ph4HTbDyu2YreTc02YbQFt0nzL62\n5c3HsVUurTu5H1ve7NY1DTyV9XmjsToODU/vQxWzDUhbitLqixJyJi+JKQlFvYrsUx4CO6bMv/2M\nbQy2vEUymMrp4rG73SgeEfd9HhDEahICSRKyEkt+XjzzSYS0MpGHTuTLQw+SYe6JeEICjr2zcBHS\n8/zarvisLFd+7vyc+dnIY/kdyp4IrDTYMfcG0Sby3D7kzQTeDz3udT/g5yLkVYjIL4PyBFIKpAxh\nWhm4CpQibpu8E1d5MoBm1azQSpO3oZ/UMl0SJYKj6iRoL6E7laLP+hDEL84xHKTVB12j+vujqsbK\nuguvSoWi1JNJUgerf9tzsWdZ3tUWeELekqzZVT4GJXRQCR3hAAqVCvIDAfx+gtdPyRgSso1x5N1i\ncMMp4561xiyXYALhhpldu0zOeaRJhomHG3WOfTIZcV0EkaX21wq1JjMmaJlgB3EutoIlgVJChERi\nH2mtR+K/cBsrIE5iqzoG4ji5XrrNRcIXW/1cPwqFNSw/9gjpEZL4nOY8qXvjkV8C69kUkCTucD9t\nJl6IYzhHwR5NLcuTIUlc3n8kttfaTyY1clr9ENAm8jy6ydtD8q31I624FQDla0LOe0rLTOSBfB/k\nqTjuKonDJm09/jkP51KICVuSt6QUSdTZpJ1N3tITkE3gQJZ2nXx66Vh3K4g7OXOiEsirZl8h7bS3\niTxJBoz9D1XkXY/Ik7m2gyryziHIHDlNWt9VxB31Y0xUQkdYRrFSQb4Uwu+PoPopmb9AEjj/duTd\nQmQPwxpneSOCnlCijGo3cgf0KF4cA+WZdcYgGUpTxry52BOXZCRapcgiK8OZ//tif+nihainvT0n\nzlWrsKtbEIwCkhGjxH4xZF0ZvJ+Jr0cB4BlLN85clwlf3PeWFYwQ1bF2m0jlgDp2Eh8vpWUMpJUk\nSd52/1ku/Pz4ndnD0tqELZPe+Lzy+Uplosn2sk3kefSTt1QY+5EMp8vk7UWAH8DLac2eSGll1rNt\nXcpwlyfjsCVjoaet7azs9drErQRVCbd5HaubUYuQE5rUy3r7DgVKCOFgZ5f+gXrWNxO4V/U0Bifv\n6qles6zvdKZCISZv4SqnEsZEAxgTDKAjKKM4EMBn8u6jZBamLBIvNfkQ20TYDwwOMctayVoh9Mso\nIR0TZTerBz12NpCOeSukLWNusKXVLcm7EQJnyAQueyQ439pXErwkEyY6SVRiqQCdDU7Jo4jzXjxh\n0crRyqSywOCkGZHUFTGZixITuEwYZAIk67xSGcmJfezeABIyo196TLh4sMaORXVXLpktzusleUvl\nTo6vLLsZyuvbymCDaBN5Hp3kzY2nQrpBzSJvP4KXI+TyUZxEpZTulqQU28CJ5Z10BCuYIV70/4qw\nvGsRdy3yptRVGneVDwb7uJGGTcaN7D+YCz1bpakmcBnSyJqrPU3cFUHgkrxlhrm2uDuCMsaUy8gP\nBFAmzq36qDZxO7d5i8GWtx2LjpC8AM5IH4N0ZjLP3Z1lPcnBWGT/cGl5S0tZWmFZxM3rhCVbl/iB\nhOBsd77sdy5HCJP1BeJuXJ5RFDhTPdV1i7OmuW6SxK392MomQXqxGGcNZJBHWlHhe8qyvGXdsz54\nvmaYUdjdLoebJKSnEOX6MHEzuUuLXtZHJi5yZrutYEiCbwJtIs+jkrxJknc/oISrPA6XcKKjT4jH\nywZM1jZBeRGUbxKljPs8rypixOsCZA5zKkmtBnFnkbfslmYTeS3Cboa85XJ/QBJxI/vWcqFnEba9\nzCZv/dRtAk88JQlx85ztevS0cpyY1kEldAQDKFYqKA7oOHeuL0wIO6sYEicm82bQJv1CDwyki1l2\nDWNLsISkQZdWlSQPtrQzLNiYHNiyk0N4RmIbTy7CA3t4SBoV20oHquPzQEIOTBRZlrwS+0oCtvtw\nm6Ky1gPVRMj1yXLBi31JEqRtodtuamlx2+eSdbEVGAlZD2lJ17jfKutYuvHtY7Lc5lneG34XktwJ\n6Zh+E2gTeR6V5B2xIh5BT15RgJ5zW8qYTPo0UAHBr4TIB0p7pvIKng/4foS8nxB3RSWjXcs0KNvq\nrkfcem5wGdvO/g1kW9uNEvP+JG7GYMRtE7x9l7wtPSBO9W9J3JLAsyxvTeByak8eKc1Y31RGMeRi\nktNKIfxSpLPK+6FDq1z2VRfi0uyUoG3SL/TAgGdGYytPWqtM6Gxxs8Vq99vNkgHZ8LNbll3V3FUM\nSAiILbwc9OxmEZJuZpLEhXdASfc7JXUika2dcueGSGL3TE5SkbAyn4l0X2uPE94ISb9r6Z6WljFQ\nm2y5HkVkk6HMwJfWtQxhDCA9oE5Wwh4v5SxwMgbO15OZ/lkKkiRiVjjk8KzSbR4/NLGfVM64vpLw\n+R14aAptIs+jkrxD07tERZq0PSNXyiZv652okOCHERAF8CKCVyT4eT2CV16VUfHyqKg8ypSPR1Kr\nCDrIinVXk3dCN1kxbdtdDtR2fzdjWTdiCQ8PjV0hyzLPcrdXZ6BXPynbj+FbT7za8pZzt8uhTivI\nRxUUgkCTdiVAfiCE32/ImxPUBiPuPq040j40hzZxsx0Y7DVLtp65sedGu4CEgGwCluQHpBt7SY6h\nddyA+C/dtEBC3vWy3kXsVQlXLrGrdx8SZUM2ShKSWKVr2hQS9YsMEfEgKvHsXDayrF5J3rLuTH6S\ngKVnA0iHBYCEOCHqLBUOGT+W55LJg1kKh8wH8K31slhhhdR7sxUW6RnIWq+Qrk8TaBN5Hp3kbSwf\nLwI8040wRdxZ5E0JeXsRIUcRcmRmH/PKKOb8OIs8WaYJvHGrO8mjzkrVajTGPZgbvRkXdqtQT6Gw\nybnW9vqJbFLNSRN4Vvw7y3WeInIyCW1myNN8OdL9uPsJql/Ht+MYdw3iti3vqFnL26EO2PLmSUQ4\nls2Wn7S2pTtc9hMuISEnbgg4A1024tzXlxtuJi45KAxnrLMyIZLEqhKiJIFDn5PK0B+T6SoVhwHs\n7Gnb6rUT2oBkiFXu6iazw6XlWstytMmSQwE8JO0A0sRsJ3DJfADp9pZud/l87Gcki/QUsHIlcw2y\n+t1nhRos70TNe7bd9HYd+fvgb+vgw6gk7wGTv+ApINcP5ApafpT8VvibFN+MCjWBIyQgBLwgghcq\n+JFCSAp530fFCxCoHCqqopfII1AD2upWIl1K5dKEHffvNvSi2C1eP5O8NnlTfCzvl4WEDEfWgd5I\nPD5N3LYrrzZ5V28z48pTKAg8gk9pSzxH3HUsNL/1hCI56PHJ8xQgR2Z6z0APvOKXKOnHLWPaNln3\nIuVGp71aaQz6gcBlm7cQWXFXJitpWWXtw25xngKUk56yLF0gTTic6CVHCIM5lieykOQqry1jvWyx\nytHb5Lyx0hsgLW3puuXnkEHsJD0O9ohmTOB8b7yvnRDG15JEKRUidi1nhSBkIh9bvbIrmWxwbc+E\nJMvAOod05fN1+J6kwiUJPCsuLsHvl5+19CwAaa+Cfc0m0CbyPCrJu9coSn4F6CgDxX7Al90tGfz+\nZBGTmKgSoPoJ3hjomGcugvID+J7OUg9VhIKn5+0OvbIZhEUTc7JU8ZIHaImUB55ilKAAlWWTVhN6\nAoo/VTtynEbG0dRaEicAPLlAs/Wx95NKRlrhEOsoIXGfInhk0vsogke8jpehWIbwIy4B/ChEjv+H\nkZ5khLPJOcbNicxZBM6jbu7Rv6O9QKVPK46lZoW3TYT9wOAos+RYLGcuy6EzZZySwWTB45zLhlv+\nB5KGwR4tzI73Sovbzoa23bDcD70DIE6ws+ek5nqE4jgZS7az1KWHgPet1Y2JFQm+hh0H52fIv6Xy\nwEQqXfa2UgQkXfLsOrNlbHshZPFRfZ9M/OyZkF2/bLLm+yLrHHwfMnQin7mtDAJpBYGVB75nD7Wf\ncQ20iTyPSvLeY2ShYMJXnpfMKpt6d/xeWQZlN8YBAGMIXlEB/aRn/MtH8HKA7xNyuQiRH4J8DxEX\nT4E8Q9Se/h95yvw35M3b4OkR3QA9drlKPqykCUhb5kCa1NL6YC1KlhQpSbD551oFxZZ2UrPG6yLJ\nXolffH82tRMUJU9CGZL2IrMkHe7wIoJPeqnMNhWZbWEUFxVGxrNilhVN2p7dtVASuCTvvUiRN+0D\nKv1AfxnY16zwtkl26oHBkeI3ywgLrJzOjRPAJPnK2Kzdj1eSAZA00rKbmLQq5TYgPfqXnHiECdAH\nMAbxsKmIkCRzMWw3L9+fvCYTHbvx2VKMxPZqL1a1F0AStzyfVDyYuGzyhjgHN5S83SZv21VeKx/A\nJnt+hjz8bAVJEmBGzD9Wrvi58T0x4dqeDtlljOsmPQPymfG9Ssu/CbSJPI9K8u41z79oBgvKA8mY\nBUD6e5bKsyTuAW15o0jwjfLsF0gPo5oPQXkF5BQop/QQvTkF8hXgA+QpPdCRrxB5QORDj1vOZB55\neh8oQ+C1IsFpl7oktoTm60e00+THS0oNzDRUEKCVDlJmfIi08lG7Pkm9pYJiu8btY+I9SRcvIk3i\nhrQ1QetcBxWS6QZLJiRCQEBm1kHzu0JQFUBVSHtaBigZA1+SNxcZ896L1LwXUR9QGQBKA0Mg74Mz\npNYiMHnb2eFlpIe1IyQxZG6YmSR4EA7pYrO/UknQnD1uk41sQGxtXxJrRZ+LJLErJN3NJNnyuYA0\nmUmrUxIYn5OVE7Z+syBd70y20vuQZVk3anlL8szqgiU9GVlWt60c2ZY3eyk4/m4TN8fJIc4hnwP/\nlhnwEtyFkAmcry+z42u53wdBm8jzqCTv3eaddijAqxgHllmnlHnVBCjzHSqWBzEGOkoAioAyPUFU\nkUw/cUoPr2v1DpHKHDFx+0DkMakrY6Eb4mbr2xpLHQrJTGLCbWZbpg2B+JSatNmClduaguJD+R6E\nY74Jn7wk7uTUpm6q2jugiK1uQ+ARW9j8G5q8Q+jur9IYyhrlUY72yEqbHGiFeYHJ2ySkYR9Ae/Xv\naC9AfUCpH+irAHsrieenYbSJm+3AoGiWcuANIE0kPHEFk5600mTyE0O6Wrnht7OZeR13BVPiejIp\nS2ZVyyE9PXEtvl4ZaWtXbmcrT5Kr3C6vlXWsvZ/taZDEJ+sGsV7eRxZ5QxxvKx+2JWwrBDLJzE46\nYqWE6yzrZBf7PuslqMlvhBUO6V7n62Qt+fgmGjRGm8jzqCTvj8yyQ3w7CsAYD8j7hm9DHRNn4lbc\nBpSg5dUeC93uypkHNr0GzO9EdRdEsVQe4Jn/5AHkEZTSv7XbmQxxxwwbL3maT4LCcy8SPjuHrW9e\nmxyWCXsbJS7zKte5+L2lm3Dm7IyPVqV/EwAo0jWxTfl63zwfC4Xntkb4zBzTaCnhg5DkLU7NBA5D\n3prENVlrixvpsJ5YbnoJmH8ysodq5uRkayKbuPRpkuaM8rBPu8krxuLuqwAfhcBHUfL9NYw2EfYD\nAx7xRpIKa81MdlmucLuhZwKVx0k3+8sAOs2+PPEGd0XLIis7oQpIW62saMi+5vyxbQdwChKFgc9n\n93cOkL4X3k82NHadZMY3AHQD6BLnkVnUtgtZXgfinPyf8w74eXJ92UoOAWw1zxGiLjD7jkXa4pUe\nCx5sJwc9S1yI9JSd9kxvfG+dqM5ul1Y0C7tMVJS9DoA0+fM3Ir0j9bLXM9Am8jxk8r7llluwfv16\nKKVw6qmn4oEHHsCRR2oX2YMPPojvfOc7yOfz+Lu/+zt85jOfAQD09PTgT//0T/HRRx/h0ksvxR13\n3JF57iryNiGiCnT0qSMEVNmUCuCJBLWYsG3iziLvbmD+cajOwRC5GMosPR+a6JQCeaQJTCWNTTws\nsb0kBSLg5xsjLJjk8d5mG5JlLRK3CDBWB+oc+8KzhAUTapxPyLyuvwJlKB6DHQvjZv/5xgifm8Qr\ntGITV86uOyV/FMEQuCZ0GAJXtkIuyftFYP4xqLbCuQ2xp/UUQ55SP+JuYLRPZ5UPDOgYd2lAW9wf\nRaY0681okxhZLYykLGcPVyfdXEC2dWiTurRsmbilK/f/ApiN5OUzmUZif76WJEfpdpUuZRmX53rx\nB/cKgBORuPOlhcv1z7IsZZyW719avJLAJXnPQtralMqI7eqWyo6d+c5JeKwAcJyZPQ0EYBs0obLy\nwfXhrKOiuB67tPuR9AiQypIkWTvBLQLwEoAZSBIWpYJiZyJHSBQ3Tnzk/e1se/kcZEJhg2gTeR4y\neV9//fX4m7/5GwDA7bffjlWrVuH222/H+++/j4ceeggbN27Ezp07sWLFCmzfvh0AsHLlStxwww04\n++yzsWTJErz00ks4/fTTq85dRd5mGUVAZOQplwf8Ae1WJ0PiyCJvOfytRd7oA7AL2T0fBHFDyd+U\nzF0PXkrTUhQgHqbY3wvkfxMmh/BhttFhI2ubbdFa+6hegv//Ms5VVW9kW9yDkbfYx9tLyP/GaLlm\nkoU4glDr3uJ6GyVEyJmyPWqy/eH3Zeca2a5zm8BN+0LG+o72AcEAUKro+Pa+ANhjSJtLU2iTGFkt\njKQsJ+QtSYtj09LytslPfkSS/OxYMheOgzGRsKrPFrhs1O1BS5jYcxn7MQmya5jd5qwgcF1sArFj\n/ApJo2QP7MJCIMlKxm2l+1cqNbLBsj0Lkryll4Gvb2et8/O1PQcsSBUk/dmldTwAnUDCfel5xDy7\nH7jdqPA98HNi1zwX2/JmsALCvRakoiLjnkB6Tu8m0CbyPGTyHjduHAAgCALs27cPhx12GABg69at\nOPfcczFx4kRMnDgRRIS9e/fi0EMPxeuvv45LLrkEAHDxxRdj69atmQIvdfUSmQIdri4Q0GFIPCJN\nqiR7N9gKl90jRMa4K9CEIBXhjCJJPCanrIyxWuEdAtQA4Pda+w9G3oNZ5jWOVwOAt6eB+tXajkG2\ni/30ffFNoub9N1R/21ixi+yFkhUD53ZGkngpWZIZuzwqAdEAEIRAJQRKIcDTew9laPN2cbPVwkjK\nctLwygZcChTQ2EcirTImCTnLmCRh7tccWsfy+fiDku53SYby2lJ7lJniklAkYUtCkf3Uud7cVU16\nEWwhkG5k+VyynpMtcPIebaVI3p/tWmdyl9dgYuWJQ+wuW0zw7HZn65rfi3Rj1qq/bKjt9VkxcRku\nkfdqb+d68j5NoE3keVgx75tuuglr1qzBlClTsGnTJgBAd3c3pk2bFu8zZcoUbN26FZMmTcLRRx8d\nr58+fToeeeQRXHnllVXnva3WBfk98sPtA/DhcO4AuG3T8I5v6lr/th+v9ZP9eK39eV8b99+1Gkab\nCHs9jJQsA3NHuOYSD+zHa63fj9f63n68FgB8fz9e67v78VoNok3k2au3ceHChTj11FOryuOPPw4A\nuOOOO/DOO+9g9uzZuP766wEARNVajrIzsWvsx+tdcWU0lIaRlQFH+C1TAAAPwUlEQVQ/WMlAqVTC\nnDlzMHPmTMydOxf3339/1T69vb1YuXIlZs6ciXnz5uGtt94CALz++uvo7OyMy2GHHYYHH3wQAHDr\nrbeio6MDY8aMwZgxYzB58mQny6587ErDaJE8jzTqWt5PP/30oCcYO3YsLr/8cnzta18DAMyZMwfP\nPPNMvP21115DV1cXxo0bh/feey9e/+qrr2Lu3P2plTs4jG50dHTgZz/7GcaOHYuBgQH80R/9ERYv\nXowTTzwx3mfdunWoVCp45ZVX8O///u+4/vrr8c///M+YMmUKXn75ZQBAFEX4wz/8Q1x00UUANOHe\neeed+Na3vlX3+k6WHRzaB3Ut73p44403AOg42bp163DxxRcDAGbPno0NGzbgnXfewaZNm+B5XhxT\nmzp1Kh577DHs2rULP/7xjzFnzpwW3IKDwwGGnVvRSKmBsWPHAgD27t2LIAhQLBZT25999lmcf/75\nAIB58+bhzTffrDrHM888gxNOOAHHHXdcvK6e5eFk2cFBoIXyPJIYMnnfeOONOPXUU/HpT38aQRDE\n2voxxxyD5cuXY8GCBfj617+OVatWxcfce++9+Pa3v42uri589rOfrZHg4uDQZrB7tTRSaiCKIsyY\nMQPHHHMMrrrqqhQBA8CiRYuwbt069Pf3Y/369fjlL3+JnTt3pvZ57LHHcNlll6XWfec738HcuXNx\n9913o7c3nTnpZNnBQaAF8vyrX/0Kn/vc53DyySdj/vz5ePTRRwHoENaECRPi8NaTTz459HrSAcTN\nN99Mp512Gs2YMYOWLl1Ku3btiretWrWKTjzxRJo2bRo999xz8fpXX32VOjs76fjjj6e/+qu/avha\n1157LU2dOpU6Ozvpmmuuob6+vhG71j/+4z/S9OnTyfM8+o//+I/UtlZfy8bmzZtp6tSpdOKJJ9KD\nDz445PMw/uIv/oKOPvpoOuWUU+J1e/bsoQsuuICOO+44WrJkCfX29sbbat1fI3jnnXdo/vz5NH36\ndDrrrLPokUceGbHr9ff30+zZs2nGjBk0Z84cuu+++4Z0LQCEz9PgZfbPCCf+dVIGEb2dO3fStGnT\naPv27an1+/bto9tvv526urpo6dKl9KlPfYr+93//N94+MDBARx11FL3//vvxuvfee4+iKKKPPvqI\nvva1r9E999zT8HNqFE6WnSxLtKMsEzUhz3ax5Pndd9+ll19+mYiIPvjgAzr++ONpz549dOutt9Lf\n/u3fNvUsa+GAkveePXvi37fddhvdcsstRKQbmylTptD//M//0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+ "text": [ + "" + ] + } + ], + "prompt_number": 11 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "beta = Parameters.BetaSchedule(coolingFactor = 10, coolingRate = 2, beta0 = 1e14)\n", + "inv.objFunc.beta = beta\n", + "inv.opt.maxIterLS = 40\n" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 12 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "inv.objFunc.data.Wd = 10." + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 13 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "reg.alpha_s = 1e-4\n", + "reg.alpha_x = 1.\n", + "reg.alpha_y = 1.\n", + "reg.alpha_z = 1." + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 20 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "out = inv.run(m0)\n", + "# reg = Regularization.Tikhonov(model)" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "============================ Inexact Gauss Newton ============================\n", + " # beta phi_d phi_m f |proj(x-g)-x| LS Comment \n", + "-----------------------------------------------------------------------------\n", + " 0 1.00e+14 1.67e+08 1.28e-07 1.80e+08 9.58e+08 0 Skip BFGS " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 1 1.00e+14 1.36e+07 1.29e-07 2.64e+07 1.11e+08 0 Skip BFGS " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "Iterative solver did not work well (Jvec)" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 2 1.00e+13 1.36e+07 1.29e-07 1.49e+07 1.09e+08 5 Skip BFGS " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 3 1.00e+13 1.29e+07 1.29e-07 1.42e+07 1.06e+08 5 Skip BFGS " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "Iterative solver did not work well (Jvec)" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "Iterative solver did not work well (Jvec)" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 4 1.00e+12 7.14e+06 1.29e-07 7.27e+06 1.94e+08 3 " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "Iterative solver did not work well (Jvec)" + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + " 5 1.00e+12 7.14e+06 1.29e-07 7.27e+06 1.94e+08 17 Skip BFGS " + ] + }, + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "\n", + "------------------------- STOP! -------------------------\n", + "1 : |fc-fOld| = 7.5435e+01 <= tolF*(1+|f0|) = 1.7998e+07\n", + "1 : |xc-x_last| = 6.9661e-07 <= tolX*(1+|x0|) = 1.1412e-01\n", + "0 : |proj(x-g)-x| = 1.9436e+08 <= tolG = 1.0000e-01\n", + "0 : |proj(x-g)-x| = 1.9436e+08 <= 1e3*eps = 1.0000e-02\n", + "1 : maxIter = 5 <= iter = 5\n", + "------------------------- DONE! -------------------------\n" + ] + } + ], + "prompt_number": 21 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "indx = 15\n", + "fig, axes = subplots(1,2, figsize = (12, 5))\n", + "ps1 = mesh.plotSlice(chi, vType='CC', ind=indx, normal='X',ax = axes[0], grid=True, gridOpts={'color':'b','lw':0.3, 'alpha':0.5}); axes[0].set_title('$\\chi_{true}$', fontsize = 16);\n", + "ps2 = mesh.plotSlice(model.transform(out\n", + " )/mu_0-1, vType='CC', ind=indx, normal='X', ax = axes[1], grid=True, gridOpts={'color':'b','lw':0.3, 'alpha':0.5}); axes[1].set_title('$\\chi_{pred}$', fontsize = 16);\n", + "colorbar(ps1[0], ax = axes[0])\n", + "colorbar(ps2[0], ax = axes[1])\n", + "print 'x=', mesh.vectorCCx[indx]" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "output_type": "stream", + "stream": "stdout", + "text": [ + "x= 0.0\n" + ] + }, + { + "metadata": {}, + "output_type": "display_data", + "png": 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IPkazva91+6Md68TqBp01a9ZQXFxMe3s7paWljBkzhvLycgCKi4vJz89nxowZTJ8+nbS0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\nhgDr+3MRxqw64RF7OLQ5BnDmp33sRDkbiPAa8M575K5evdq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nn70lrHL07NmK998fztatR7j55jd45ZWNPP74DTzySP+Q5YCKs9x4Y1uWLNlO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\nl3dY3uqhjQUa+C6Ngaa+n7G2S2MgzvezAaXH6vq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cs1Bl0t0DW0T6fMk6BXvGIvlaEYtG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+ "text": [ + "" + ] + } + ], + "prompt_number": 23 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "dpredout = data.dpred(out)" + ], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 24 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [ + "fig, ax = plt.subplots(1,2, figsize = (8,5) )\n", + "dat = ax[0].imshow(np.reshape(dpredout, (xr.size, yr.size), order='F'), extent=[min(xr), max(xr), min(yr), max(yr)])\n", + "plt.colorbar(dat, ax = ax[0])\n", + "dat2 = ax[1].imshow(np.reshape(data.dobs, (xr.size, yr.size), order='F'), extent=[min(xr), max(xr), min(yr), max(yr)])\n", + "plt.colorbar(dat2, ax = ax[1])\n", + "plt.show()" + ], + "language": "python", + "metadata": {}, + "outputs": [ + { + "metadata": {}, + "output_type": "display_data", + "png": 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YZ8rzV56SUjJAfUlbGjMk5LgHdgzPTeC5Tvx5yzGu6XxjYIuyosQWraYU+EmP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\nM6Q2RRDy1tnh40hi2UeRxbQlhizPRUhCFuHgGKdL7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+ "text": [ + "" + ] + } + ], + "prompt_number": 25 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 19 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 19 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [], + "prompt_number": 19 + }, + { + "cell_type": "code", + "collapsed": false, + "input": [], + "language": "python", + "metadata": {}, + "outputs": [] + } + ], + "metadata": {} + } + ] +} \ No newline at end of file diff --git a/simpegPF/notebooks/test_boundary.py b/simpegPF/notebooks/test_boundary.py deleted file mode 100644 index 23025f26..00000000 --- a/simpegPF/notebooks/test_boundary.py +++ /dev/null @@ -1,142 +0,0 @@ - -from SimPEG.Utils.matutils import kron3, speye, sdiag -from SimPEG import * -import numpy as np -import scipy.sparse as sp -def ddxFaceDivBC(n, bc): - - ij = (np.array([0, n-1]),np.array([0, 1])) - vals = np.zeros(2) - - # Set the first side - if(bc[0] == 'dirichlet'): - vals[0] = 0 - elif(bc[0] == 'neumann'): - vals[0] = -1 - # Set the second side - if(bc[1] == 'dirichlet'): - vals[1] = 0 - elif(bc[1] == 'neumann'): - vals[1] = 1 - D = sp.csr_matrix((vals, ij), shape=(n,2)) - return D - - -def faceDivBC(mesh, BC, ind): - """ - The facd divergence boundary condtion matrix - - .. math:: - - - - """ - # The number of cell centers in each direction - n = mesh.nCv - # Compute faceDivergence operator on faces - if(mesh.dim == 1): - D = ddxFaceDivBC(n[0], BC[0]) - elif(mesh.dim == 2): - D1 = sp.kron(speye(n[1]), ddxFaceDivBC(n[0]), BC[0]) - D2 = sp.kron(ddxFaceDivBC(n[1], BC[1]), speye(n[0])) - D = sp.hstack((D1, D2), format="csr") - elif(mesh.dim == 3): - D1 = kron3(speye(n[2]), speye(n[1]), ddxFaceDivBC(n[0], BC[0])) - D2 = kron3(speye(n[2]), ddxFaceDivBC(n[1], BC[1]), speye(n[0])) - D3 = kron3(ddxFaceDivBC(n[2], BC[2]), speye(n[1]), speye(n[0])) - D = sp.hstack((D1, D2, D3), format="csr") - # Compute areas of cell faces & volumes - S = mesh.area[ind] - V = mesh.vol - mesh._faceDiv = sdiag(1/V)*D*sdiag(S) - - return mesh._faceDiv - - -def faceBCind(mesh): - """ - Find indices of boundary faces in each direction - - """ - if(mesh.dim==1): - indxd = (mesh.gridFx[:,0]==min(mesh.gridFx[:,0])) - indxu = (mesh.gridFx[:,0]==max(mesh.gridFx[:,0])) - return indxd, indxu - elif(mesh.dim==1): - indxd = (mesh.gridFx[:,0]==min(mesh.gridFx[:,0])) - indxu = (mesh.gridFx[:,0]==max(mesh.gridFx[:,0])) - indyd = (mesh.gridFy[:,1]==min(mesh.gridFy[:,1])) - indyu = (mesh.gridFy[:,1]==max(mesh.gridFy[:,1])) - return indxd, indxu, indyd, indyu - elif(mesh.dim==3): - indxd = (mesh.gridFx[:,0]==min(mesh.gridFx[:,0])) - indxu = (mesh.gridFx[:,0]==max(mesh.gridFx[:,0])) - indyd = (mesh.gridFy[:,1]==min(mesh.gridFy[:,1])) - indyu = (mesh.gridFy[:,1]==max(mesh.gridFy[:,1])) - indzd = (mesh.gridFz[:,2]==min(mesh.gridFz[:,2])) - indzu = (mesh.gridFz[:,2]==max(mesh.gridFz[:,2])) - return indxd, indxu, indyd, indyu, indzd, indzu - - -def spheremodel(mesh, x0, y0, z0, r): - """ - Generate model indicies for sphere - - (x0, y0, z0 ): is the center location of sphere - - r: is the radius of the sphere - - it returns logical indicies of cell-center model - """ - ind = np.sqrt((mesh.gridCC[:,0]-x0)**2+(mesh.gridCC[:,1]-y0)**2+(mesh.gridCC[:,2]-z0)**2 ) < r - return ind - - - -def MagSphereAnalFun(x, y, z, R, x0, y0, z0, mu1, mu2, H0, flag): - """ - Analytic function for Magnetics problem. The set up here is - magnetic sphere in whole-space. - - (x0,y0,z0) - - (x0, y0, z0 ): is the center location of sphere - - r: is the radius of the sphere - - .. math:: - - \mathbf{H}^p = H_0\hat{x} - - - """ - if (~np.size(x)==np.size(y)==np.size(z)): - print "Specify same size of x, y, z" - return - dim = x.shape - x = Utils.mkvc(x) - y = Utils.mkvc(y) - z = Utils.mkvc(z) - - ind = np.sqrt((x-x0)**2+(y-y0)**2+(z-z0)**2 ) < R - r = Utils.mkvc(np.sqrt((x-x0)**2+(y-y0)**2+(z-z0)**2 )) - Bx = np.zeros(x.size) - By = np.zeros(x.size) - Bz = np.zeros(x.size) - - # Inside of the sphere - rf2 = 3*mu1/(mu2+2*mu1) - if (flag == 'total'): - Bx[ind] = mu2*H0*(rf2) - elif (flag == 'secondary'): - Bx[ind] = mu2*H0*(rf2)-mu1*H0 - - By[ind] = 0. - Bz[ind] = 0. - # Outside of the sphere - rf1 = (mu2-mu1)/(mu2+2*mu1) - if (flag == 'total'): - Bx[~ind] = mu1*(H0+H0/r[~ind]**5*(R**3)*rf1*(2*x[~ind]**2-y[~ind]**2-z[~ind]**2)) - elif (flag == 'secondary'): - Bx[~ind] = mu1*(H0/r[~ind]**5*(R**3)*rf1*(2*x[~ind]**2-y[~ind]**2-z[~ind]**2)) - - By[~ind] = mu1*(H0/r[~ind]**5*(R**3)*rf1*(3*x[~ind]*y[~ind])) - Bz[~ind] = mu1*(H0/r[~ind]**5*(R**3)*rf1*(3*x[~ind]*z[~ind])) - - return np.reshape(Bx, x.shape, order='F'), np.reshape(By, x.shape, order='F'), np.reshape(Bz, x.shape, order='F') - -