From cd8a6dce4cc4969be7051a5ad3dad144a20f02fe Mon Sep 17 00:00:00 2001 From: Thomas Baumann <39156931+brownbaerchen@users.noreply.github.com> Date: Tue, 22 Jul 2025 12:51:33 +0200 Subject: [PATCH 1/3] Unfrenched derivation -> derivative --- qmat/__init__.py | 2 +- qmat/lagrange.py | 20 ++++++++++---------- tests/test_2_lagrange.py | 14 +++++++------- 3 files changed, 18 insertions(+), 18 deletions(-) diff --git a/qmat/__init__.py b/qmat/__init__.py index 6119f93..eba857e 100644 --- a/qmat/__init__.py +++ b/qmat/__init__.py @@ -8,7 +8,7 @@ **Utility modules** ⚙️ -- :class:`lagrange` : Barycentric polynomial approximations (integral, interpolation, derivation) +- :class:`lagrange` : Barycentric polynomial approximations (integral, interpolation, derivative) - :class:`nodes` : generation of multiple types of quadrature nodes - :class:`sdc` : utility function to run SDC on simple problems - :class:`mathutils` : utility functions for math operations diff --git a/qmat/lagrange.py b/qmat/lagrange.py index b34a198..2c6334c 100644 --- a/qmat/lagrange.py +++ b/qmat/lagrange.py @@ -2,7 +2,7 @@ # -*- coding: utf-8 -*- """ Base module for Barycentric Lagrange Approximation, based on `[Berrut & Trefethen, 2004] `_. -Allows to easily build integration / interpolation / derivation matrices, from any list of node points. +Allows to easily build integration / interpolation / derivative matrices, from any list of node points. Examples -------- @@ -22,8 +22,8 @@ >>> # Alternative interpolation using the object as a function >>> uFine = approx(fGrid) >>> ->>> # Derivation ->>> D = approx.getDerivationMatrix() +>>> # Derivative +>>> D = approx.getDerivativeMatrix() >>> du = D @ u """ import numpy as np @@ -437,9 +437,9 @@ def getIntegrationMatrix(self, intervals, numQuad='FEJER', duplicates=True): return Q - def getDerivationMatrix(self, order=1, duplicates=True): + def getDerivativeMatrix(self, order=1, duplicates=True): r""" - Generate derivation matrix of first or second order (or both) based on + Generate derivative matrix of first or second order (or both) based on the Lagrange interpolant. The first order differentiation matrix :math:`D^{(1)}` approximates @@ -473,11 +473,11 @@ def getDerivationMatrix(self, order=1, duplicates=True): .. math:: D^{(2)}_{jj} = -\sum_{i \neq j} D^{(2)}_{ij} - ⚠️ If you want a derivation matrix with many points (~1000 or more), + ⚠️ If you want a derivative matrix with many points (~1000 or more), favor the use of `weightComputation="STABLE"` when initializing the `LagrangeApproximation` object. If not, some (very small) weights could be approximated by zeros, which would make the computation - of the derivation matrices fail ... + of the derivative matrices fail ... Note ---- @@ -487,7 +487,7 @@ def getDerivationMatrix(self, order=1, duplicates=True): Parameters ---------- order : int or str, optional - The order of the derivation matrix, use "ALL" to retrieve both. + The order of the derivative matrix, use "ALL" to retrieve both. The default is 1. duplicates : bool Wether or not take into account duplicates in the points. @@ -497,8 +497,8 @@ def getDerivationMatrix(self, order=1, duplicates=True): Returns ------- D : np.2darray or tuple of np.2darray - Derivation matrix. If order="ALL", return a tuple containing all - derivations matrix in increasing derivation order. + Derivative matrix. If order="ALL", return a tuple containing all + derivative matrices in increasing derivative order. """ if order not in [1, 2, "ALL"]: raise NotImplementedError(f"order={order}") diff --git a/tests/test_2_lagrange.py b/tests/test_2_lagrange.py index dc3e53a..990f071 100644 --- a/tests/test_2_lagrange.py +++ b/tests/test_2_lagrange.py @@ -97,14 +97,14 @@ def testIntegration(nNodes, weightComputation, numQuad): @pytest.mark.parametrize("weightComputation", ["AUTO", "FAST", "STABLE", "CHEBFUN"]) @pytest.mark.parametrize("nNodes", nNodeTests) -def testDerivation(nNodes, weightComputation): +def testDerivative(nNodes, weightComputation): nodes = np.sort(np.random.rand(nNodes)) approx = LagrangeApproximation(nodes, weightComputation=weightComputation) - D1, D2 = approx.getDerivationMatrix(order="ALL") + D1, D2 = approx.getDerivativeMatrix(order="ALL") - assert np.allclose(D1, approx.getDerivationMatrix()) - assert np.allclose(D2, approx.getDerivationMatrix(order=2)) + assert np.allclose(D1, approx.getDerivativeMatrix()) + assert np.allclose(D2, approx.getDerivativeMatrix(order=2)) polyCoeffs = np.random.rand(nNodes) polyNodes = np.polyval(polyCoeffs, nodes) @@ -156,9 +156,9 @@ def testDuplicates(nPoints, nCopy, duplicates): assert np.allclose(Q[:, approx._nnzIdx], Q_ref), "[Q] nonzero values different from reference" assert np.allclose(Q_noDuplicates, Q_ref), "[Q] no duplicates values different from reference" - D1, D2 = approx.getDerivationMatrix(order="ALL") - D1_noDuplicates, D2_noDuplicates = approx.getDerivationMatrix(order="ALL", duplicates=False) - D1_ref, D2_ref = approxUnique.getDerivationMatrix(order="ALL") + D1, D2 = approx.getDerivativeMatrix(order="ALL") + D1_noDuplicates, D2_noDuplicates = approx.getDerivativeMatrix(order="ALL", duplicates=False) + D1_ref, D2_ref = approxUnique.getDerivativeMatrix(order="ALL") assert np.allclose(D1[:, approx._zerIdx], 0), "[D1] zero indices have non-zero values" assert np.allclose(D1[:, approx._nnzIdx], D1_ref), "[D1] nonzero values different from reference" From 7fe097ab0fde8894fac2e12de4324d53947059ab Mon Sep 17 00:00:00 2001 From: Thomas Baumann <39156931+brownbaerchen@users.noreply.github.com> Date: Tue, 22 Jul 2025 14:14:27 +0200 Subject: [PATCH 2/3] Updated Lagrange Notebook with new function name --- docs/notebooks/21_lagrange.ipynb | 22 +++++++++++----------- 1 file changed, 11 insertions(+), 11 deletions(-) diff --git a/docs/notebooks/21_lagrange.ipynb b/docs/notebooks/21_lagrange.ipynb index 3babf16..079c1fb 100644 --- a/docs/notebooks/21_lagrange.ipynb +++ b/docs/notebooks/21_lagrange.ipynb @@ -104,7 +104,7 @@ "outputs": [ { "data": { - "image/png": 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xx2natGklhq06pFgSdxQaGkqfPn0A2LlzZ6E194rVoCOEvmy4v3KcYT05IYQQVcP5vbDtc8P9/l+Ag/sdm+r1epYtW8bff/+Nubk5w4cPx9u75i6gLsWSKFFwcDAPPPAAYFhF+q6n47r9B+q0hOuXYfWrshyKEEJUBfk5htNvig5aDwHfOy8WrygKq1atIjExETMzM4YOHUrjxo0rMWzVY6F2AFH1dejQAXd3dxo0aHD3Kx8sbeCh7+GnXnBoOSQuAb9HKieoEEKI4m3+P0hNglpu0H9qiU0LCgq4cuUKGo2GIUOG0Lx580oKWXVJz5IoFW9vb2OhpNPpuHTp0p0b1w2ALm8Y7q9+DbJq5tUTQghRJZyNhajphvsPfn3Xdd8sLS0ZOXIkI0aMqNazcpeFFEuiTPLy8liwYAE///wzFy9evHPDzq8ZZvfOuQaRMlGlEEKoQlcAq14FFPB/DFo8cMemGRkZxvtWVlY1djB3caRYEmWi0WjIz88nNzeX+fPnk5mZWXxDc0vDcihoYN8CWWxXCCHUsHsGXDwANk6Gtd/uICUlhW+//fbuVz7XUFIsiTKxtLRk+PDhuLq6kpmZye+//05BwR3WhKsfBEH/zOGx+jXD/B5CCCEqR/p52PyJ4X7vD6GWa7HNMjMz+e2338jLy+P8+fPo9fpKDGkapFgSZWZra8vw4cOxsbHh3LlzrFmz5s5/ifR8H2rVMQwsjP6mcoMKIURNtu5tyMuC+h0gIKLYJjeHVmRmZuLq6srQoUMxNzev5KBVnxRL4p64uLjw8MMPo9FoiI+PJzY2tviGts4Q/rHh/tb/QdqpSssohBA11pG/4PAK0JjDgC/BrOjXvaIorFy5kuTkZOzs7BgxYgQ2NjYqhK36pFgS96xp06bGZVE2bdrEjRs3im/YZig07AwFN2DNmzL3khBCVKS8bFjzuuF+8At3XPstNjbWOJfSsGHDcHZ2rsSQpkXmWRL3JTQ0lOzsbNq0aYOtrW3xjTQaw2yx34fC0fXw9ypoObBygwohRE2x4wu4dhoc60G3t4ttcu3aNdavXw9A7969adCgQWUmNDnSsyTui0ajoXfv3ri733nafADqNIewcYb7698xzCYrhBCifKWdhp1fG+73nQLWDsU2c3Jy4qGHHqJt27Z07NixEgOaJimWRLk6d+4cO3fuLH5n5wng4Gn4i2fXD5UbTAghaoINk0CXaxj60PLBEpv6+voyaNCgu6/MIKRYEuUnLS2N2bNns2HDBo4ePVq0gVUtw9VxANunyszeQghRns7sgoNLAQ30+cQwBOI2CQkJZGVlVX42EyfFkig3zs7OBAYGArBs2bJCs8EatRkOnm0hNwO2fFK5AYUQorrS62H9RMP9gMfBs02RJidPnmT58uXMmDGD7OzsSg5o2qRYEuUqPDwcDw8PsrOz+fPPP4tObmZmZviLByBuDlw8VOkZhRCi2klcDOfjwMoeehRdYurGjRssXboUgGbNmmFnZ1fZCU2aFEuiXFlYWPDII49gaWnJ6dOn2bZtW9FGDcMMV8MpevjrHZlKQAgh7kdeNmz4wHC/06vgUPiCG0VRWLVqFZmZmbi4uNC3b9/Kz2jipFgS5c7FxYUBAwYAsG3bNs6ePVu0Ue8PwdwKjm+Co5GVnFAIIaqR6OmQcR60XhDyUpHd+/bt49ChQ5iZmTFkyBCsrKxUCGnapFgSFaJNmza0adMGRVHYv39/0Qa1G0PH5wz3/3rHsDK2EEKIsslMgR3TDPd7fQCWhee7u3r1KmvXrgWgW7du1K1bt3LzVRNSLIkK88ADD/Dggw/Sr1+/4ht0eQPsXCD1CCTMr9xwQghRHWz9FPKvQ/324Ptwkd2bN28mLy8Pb29vwsLCVAhYPZhcsfTdd9/RqFEjbGxsCAwMZPv27XdsO2rUKDQaTZFb69atjW3mzJlTbJucHJk08X7Z2NgQEBBw5zk8bLTQ+TXD/a2fQv4dlksRQghR1JXjsPcXw/1ek4udKmDAgAEEBQUxePBgzIpZH06Ujkl9cosWLWL8+PG88847xMfH07lzZx544AHOnDlTbPuvvvqK5ORk4+3s2bPUrl2bRx99tFA7R0fHQu2Sk5NlMcFylpubS2RkJLm5uYV3BI0Gx/qG8+2xP6kTTgghTNHmT0BfAE17GS6cKYa1tTX9+/fHycmpcrNVMyZVLH3xxReMHj2aZ555hpYtWzJt2jS8vLz4/vvvi22v1Wrx8PAw3vbs2UNaWhpPPfVUoXYajaZQOw8Pj8p4OzXKwoULiYqKYt26dYV3WNr8u3bR9i8gp5i5mYQQQhSWcsAwXQD8O9nvP/R6PQcPHkSRK43LjckUS3l5ecTFxREeHl5oe3h4OFFRUaU6xqxZs+jVqxfe3t6FtmdlZeHt7U39+vUZMGAA8fHxJR4nNzeXjIyMQjdRsm7dugGG2WOPHDlSeKf/Y+DaHG5cNVzVIYQQomQbPzL8t/UQ8PQvtCsmJobFixfzxx9/qBCsejKZYik1NRWdTldkwVZ3d3dSUlLu+vzk5GTWrl3LM888U2i7j48Pc+bMYcWKFSxYsAAbGxvCwsKKX67jH1OmTEGr1RpvXl5e9/amahBvb29CQkIAWLVqVeHTceYW0P0dw/3ob2UZFCGEKMnpaDi6HjTm0OPdQruuXLnC5s2bAcPkk6J8mEyxdNPtg4UVRSnVIoBz5szBycmJwYMHF9oeHBzM448/jr+/P507d+b333+nefPmfPPNN3c81sSJE0lPTzfeip1HSBTRvXt3nJ2dyczMZOPGjYV3thpkWAYlL8uwbpwQQoiiFAU2TjbcD3gcXJrcskth+fLlFBQU0KRJE9q2batOxmrIZIolV1dXzM3Ni/QiXbp0qUhv0+0UReHnn38mIiLirpNxmZmZ0b59+xJ7lqytrXF0dCx0E3dnaWlpnKwyNja2cJGp0fx73n3PLLhW/KB9IYSo0Y5GwploMLeGrm8V2rV7927Onj2LlZUVAwYMKFVHgigdkymWrKysCAwMJDKy8GzPkZGRhIaGlvjcrVu3cuzYMUaPHn3X11EUhYSEBDw9Pe8rryhe48aN8fc3nF8v0rvUpAc07Ay6PMNUAkIIIf6lKLDpQ8P9js+Ctp5xV3p6uvHf1F69esnVb+XMQu0AZTFhwgQiIiIICgoiJCSEH3/8kTNnzvD8888DhtNj58+f55dffin0vFmzZtGxY0d8fX2LHHPy5MkEBwfTrFkzMjIy+Prrr0lISODbb7+tlPdUE4WHh2NhYUH37t0L77jZuzSrNyQsgM6vQ+1G6oQUQoiq5u/VhqvgrOwh7NVCu9atW0d+fj4NGjQgKChIpYDVl0kVS8OGDePKlSt8+OGHJCcn4+vry5o1a4xXtyUnJxeZcyk9PZ0lS5bw1VdfFXvMa9eu8eyzz5KSkoJWqyUgIIBt27bRoUOHCn8/NZWdnZ3xdFwRXh0MPUzHNxnGLg2Sq+OEEAJFga3/Ndzv8CzUcim0OzQ0lPT0dPr37y+n3yqARpGJGO5bRkYGWq2W9PR0Gb90D06dOoW3t/e/v+BndsHP4WBmAS/HgXNDVfMJIYTq/l4NC0cYepXG7S9SLEHpL3gS/yrt97fJjFkS1dPSpUuZO3cuBw4c+Hdjg46G3iV9gVwZJ4QQigJbiu9VunVpLimUKo4US0JVrq6uAEWXQun6z6zeCb9B2qnKDyaEEFVF0lpI2Q+WtSBkrHHzpUuX+PLLL9m6davM1l3BpFgSqgoJCaF27dpkZWWxdevWf3c06AiNu0vvkhCiZlMU2DLFcL/jv71KiqKwevVq8vLySE5Oll6lCibFklCVhYUFffv2BWDXrl1cvnzL7N3dbu1dOq1COiGEUNmRdbf0Kr1s3Lxv3z7OnDmDpaWl8d9QUXGkWBKqa9asGS1atECv17N27dp/u5MbBEPjbtK7JISomW7tVeowxtirlJuby4YNGwDo0qWLzKlUCaRYElVCnz59sLCw4OTJkxw6dOjfHcaxS/NlVm8hRM1y9C9I3mfoVQr9t1dp27ZtXL9+ndq1axvX3BQVS4olUSU4OzsTFhaGk5MTNjY2/+7wDoFGXQ29S1F3Xq9PCCGqFUWBbZ8b7rcfDbUMF8NcuXKFmJgYwPBHprm5uVoJaxQplkSV0alTJ1566SWaNGlSeEfn1wz/3fsLZF0u+kQhhKhuTu+Ec7sNa8DdcgXchQsX0Gg0NG3alGbNmqkYsGYxqRm8RfVmYXGHH8dGXaBeIJyPg5jvoNekyg0mhBCV7eY4zYDHweHfxeL9/PyoX78+IPMqVSbpWRJVjk6nY/fu3axevdqwQaP5t3cp9ifISVcvnBBCVLQL8YYlnzTmEPZKkd3Ozs44OzurEKzmkmJJVDmpqamsXbuWPXv2cPbsWcPG5g9AnZaQm2EomIQQorra/oXhv36PGpd7OnjwIOfOnVMvUw0nxZKoctzd3Wnbti0A69evN0wlYGYGnf5ZZTv6O8jLVi+gEEJUlMtH4PBKw/1O4wHIzs5m1apVzJo1ixMnTqiXrQaTYklUST169MDS0pLz58+TmJho2Oj7MDg1gOxUiJ+nbkAhhKgIO6cBCvgMALeWgGGqgJycHNzd3WnYsKGa6WosKZZEleTg4ECnTp0A2LhxI/n5+WBuAWHjDQ12fg0FeeoFFEKI8nbtLOxfZLjfaQIAV69eJTY2FoDevXtjZiZf22qQT11UWSEhITg6OpKenm6cV4S2I8HeHTLOwYE/1A0ohBDlKeobw5xyjbpC/UAANm3ahF6vp0mTJkWnVRGVRoolUWVZWlrSs2dPAHbu3Elubi5Y2kDIS4YGO6eBXq9eQCGEKC/XrxjmkgPobOhVOnfuHAcPHgQMvUpCPVIsiSrNz8+Pjh078uSTT2JtbW3YGPgUWDtC6hE4FqluQCGEKA97ZkHBDfBsC426oigKkZGGf9/atm2Lu7t7yc8XFUqKJVGlaTQa+vbti6en578bbRwh8EnDfVkCRQhh6vJzYNcMw/3Qlw1zy2EokmrXrk337t1VDCdAiiVhYq5fv2640/F5MLOAU9vh/F51QwkhxP3Yv9Bwla/WC1oNBgx/KAYEBDB27FgcHR3VzSekWBKmQVEU1q1bx5dffsmFCxdAW98wlQBA9HR1wwkhxL3S6yHqn3/Dgl80XPV7C1nSpGqQYkmYBI1Gw40bN9DpdGzcuNGw8ebikgeXwbUzqmUTQoh7dnQ9XDkK1lpoF0FeXh6zZs0iISEBvVzAUmVIsSRMRrdu3TAzM+PEiROGWWw920DjbqDoIOYHteMJIUTZ3Rx3GfQUWDuwe/duzp07x9atWw2rF4gqQYolYTKcnZ1p3749ABs2bDD8QxLysmHn3rlw45p64YQQoqzOx8HpnYbxlx2fIycnh507dwLQvXt3zM3NVQ4obpJiSZiUzp07Y2VlRXJysmH+kaY9wa0V5GVB3By14wkhROndHKvk9yg41mXnzp3k5ORQp04dfH191c0mCpFiSZiUWrVqERoaCsDmzZvRK8q/Y5d2/SBLoAghTEPaaTi0zHA/ZCxZWVns2rULMKyNKcuaVC3yf0OYnJCQEOzs7MjMzOTixYvg9wjYe0BmMiQuUTueEELcXcz3oOihSQ/w8GX79u3k5+dTr149WrRooXY6cRsploTJsbKy4tFHH2XcuHGGySotrKHjc4adUd+ADIoUQlRlN9L+Xdok9GWysrKIi4sDoGfPnjJdQBUkxZIwSQ0bNqRWrVr/bgh6CixrwaWDcGKzesGEEOJu9syG/Ovg7guNu2Nvb09ERAQhISE0atRI7XSiGFIsCZN36tQp8i3soV2EYYMsgSKEqKoKcv9d2iRkrHFpE29vb8LDw1UMJkoixZIwacuWLWPu3LmGLuzgF0BjBsc3QUqi2tGEEKKoA4shKwUcPMH3YfLy5KIUU2ByxdJ3331Ho0aNsLGxITAwkO3bt9+x7ZYtW9BoNEVuf//9d6F2S5YsoVWrVlhbW9OqVSuWLl1a0W9DlJMGDRoAsGPHDvJq1YVWgww7Yr5TMZUQQhRDUSD6W8P9js+Rei2DL774go0bN8oElFWcSRVLixYtYvz48bzzzjvEx8fTuXNnHnjgAc6cKXmpi6SkJJKTk423Zs2aGfdFR0czbNgwIiIi2LdvHxEREQwdOtR4Caeo2vz9/XF2dub69evs3r0bgl8y7DjwB2RdVjecEELc6tR2w7hKSzsIHMW2bdvIzc3l8uXLMqi7ijOpYumLL75g9OjRPPPMM7Rs2ZJp06bh5eXF999/X+Lz3Nzc8PDwMN5unRV12rRp9O7dm4kTJ+Lj48PEiRPp2bMn06ZNq+B3I8qDubk53bp1AzBM6FbHD+oFgi4P4marG04IIW51c1km/8dIva7jwIEDAHTt2lXFUKI0TKZYysvLIy4ursgAuPDwcKKiokp8bkBAAJ6envTs2ZPNmwtfKRUdHV3kmH369CnxmLm5uWRkZBS6CfX4+vri6upKTk6OoXep4/OGHbE/ySSVQoiq4epJSFpjuN/xObZt2wZAixYtDFOgiCrNZIql1NRUdDod7u7uhba7u7uTkpJS7HM8PT358ccfWbJkCX/++SctWrSgZ8+exh9SgJSUlDIdE2DKlClotVrjzcvL6z7embhfZmZmdOnSBYCYmBhymzxgmKQy6yIcWq5yOiGEAHbPBBRo0oNUjYv0KpkYkymWbrr9vK6iKHc819uiRQvGjBlDu3btCAkJ4bvvvqN///58/vnn93xMgIkTJ5Kenm68nT179h7fjSgvrVu3xsXFBRsbG9Iyr0P70YYdu0o+RSuEEBUuNxPi5xnud3zB+Ae7j4+P9CqZCJMpllxdXTE3Ny/S43Pp0qUiPUMlCQ4O5ujRo8bHHh4eZT6mtbU1jo6OhW5CXWZmZowcOZKxY8fi4eEBgU+BuZVhVe+zsWrHE0LUZAkLIDcDXJqSXTeUw4cPAxh7xEXVZzLFkpWVFYGBgURGRhbaHhkZaVxYtTTi4+MLVfIhISFFjvnXX3+V6ZiianB2dv538Un7OoaVvEF6l4QQ6tHrYfc/k1B2eA47e3vGjh1L//79pVfJhFioHaAsJkyYQEREBEFBQYSEhPDjjz9y5swZnn/eMKB34sSJnD9/nl9+May5M23aNBo2bEjr1q3Jy8vj119/ZcmSJSxZ8u9iq+PGjaNLly58+umnDBo0iOXLl7NhwwZ27NihynsU90+n07F//358A5/BMmG+YdxSxgVwrKt2NCFETXN8I1w5BtaO0PYxALRaLUFBQSoHE2VhUsXSsGHDuHLlCh9++CHJycn4+vqyZs0avL29AUhOTi4051JeXh6vv/4658+fx9bWltatW7N69Wr69etnbBMaGsrChQt59913ee+992jSpAmLFi2iY8eOlf7+RPmYN28ep0+fJrdPH4K9w+D0TsOVcT3fVzuaEKKmifmnZzvgca7d0OFkrW4ccW80ikwbet8yMjLQarWkp6fL+KUqIC4ujlWrVmFvb88r4U2wXPIk2NaGCYfA0lbteEKImuLyEfi2PaDh8uOb+f63lbRo0YJHHnmk0Hx/Qj2l/f42mTFLQpRW27ZtcXR0JCsri/jr7qBtADeuGtZkEkKIyrLrn0koWzzAtn0njEuaSKFkeqRYEtWOubk5nTp1AmBndAwFQTenEfjBsDaTEEJUtBtpsG8BAKk+T5CYaFjcW+ZVMk1SLIlqKSAgAAcHBzIyMkiwaGdYi+liIpySgftCiEqwdx7kZ4NbK3aeMawk0Lx5c8PUJsLkSLEkqiULCwvCwsIA2LFrLzq/4YYdN7vFhRCiougK/pmxG9LbPMP+/fsB6Ny5s5qpxH2QYklUW+3atcPe3h5XV1ey2zxp2Pj3akg7pWouIUQ1d2QtpJ8BW2d2XnNDr9fTqFEj6tevr3YycY9MauoAIcrC0tKSF154ATs7O8OGJj3g+CaInQXhH6kbTghRff3Tq6QLGMXRwycAjOMohWmSniVRrRkLJYD2Ywz/jZ8H+TfUCSSEqN5Sj8LJrYAG8w5P8+KLLzJkyBAaNWqkdjJxH6RYEjVCZmYmO1MdURwbGK5SSfxT7UhCiOpoz8+G/zbvA04NsLS0xM/Pr8TF2UXVJ8WSqPZ0Oh0//PADGzZu5GjjCMPG2JnqhhJCVD952ZAwH4DU5iOQOZ+rDymWRLVnbm5O27ZtAdiR6gTm1nAhHs7FqZpLCFHNJC6BnHTytI2ZvfkI3333HWlpaWqnEuVAiiVRIwQHB2Nubs7Z88mcbjTMsFF6l4QQ5WnPLAD2ug8jOzsbnU6HVqtVOZQoD1IsiRrBwcHh396l3JaGjYl/wvVU9UIJIaqP83FwIR6dmQ1RyYYLzcPCwjAzk6/Z6kD+L4oaIzQ0FI1Gw7Fzl0mp0wl0ubD3F7VjCSGqg1jDwO59nsPJzLqOg4MD/v7+KocS5UWKJVFj1K5dm9atWwOw07qHYeOe2aDXqZhKCGHysq9C4mL0aNiRaZh4MiQkBAsLmcqwupBiSdQoYWFhWFhYUKtuCxQbZ8Msu0fWqx1LCGHK9i2AghwOaXuSlpmNra0tgYGBaqcS5UiKJVGjeHh48Nprr9G33wA07WQaASHEfdLrDasCAEcdggHo2LEjVlZWaqYS5Uz6CEWNY2NjY7jTfjREfWNYAiX1GLg2VTeYEML0nNwKV4+DlQODH3+etsmpeHh4qJ1KlDPpWRI11rnrFuz3eNTw4J9LfoUQokxifzL8138YGhsHGjVqhK2trbqZRLmTYknUSGfOnGHWrFmsvuJNDtYQPx/yrqsdSwhhSjIuQNJaMrAnt80TaqcRFUiKJVEjeXl54ebmRl6BjljbbpCbDgf+UDuWEMKUxM0FRcdfdkP4cv5aDh48qHYiUUGkWBI1kkajISwsDIAYnS/5WMDumSBrOQkhSkOXD3FzSEPLoRuu5Obm4urqqnYqUUHKXCydPXuWc+fOGR/v3r2b8ePH8+OPP5ZrMCEqWuvWrdFqtWTnK+w3awMXE+FMjNqxhBCmIGkNZKUQbRmGAjRt2hR3d3e1U4kKUuZiacSIEWzevBmAlJQUevfuze7du/nPf/7Dhx9+WO4Bhago5ubmBAcbLvWNtuqEAjKNgBCidGJ/Ihsb4vU+gGGFAFF9lblYSkxMpEOHDgD8/vvv+Pr6EhUVxW+//cacOXPKO58QFSogIAAbGxuu5FqQRBM4tAIyL6odSwhRlV0+Aie3sZsACvRQt25dGjZsqHYqUYHKXCzl5+djbW0NwIYNG3jwwQcB8PHxITk5uXzTCVHBrK2tCQwMRKvVondpDvp82DtX7VhCiKpsz8/kY8Fu8/bAv+tOiuqrzMVS69at+eGHH9i+fTuRkZH07dsXgAsXLuDi4lLuAYWoaF26dOGVV16hVdchhg17ZoOuQN1QQoiqKS8b9v3GaeqRo1jg7OxMy5Yt1U4lKliZi6VPP/2UGTNm0K1bNx577DHjqsorVqwwnp4TwpRYWVlhZmYGrQaBnStkXoCk1WrHEkJURYlLICedpk7w8ktjGTRokOHfD1GtlXm5k27dupGamkpGRgbOzs7G7c8++yx2dnblGk6IyqTTWHDQ6wnqJ82iduwsQ/EkhBC3ujljd9DTOLu44CxnVGqEeyqHFUUhLi6OGTNmkJmZCRj+OpdiSZiylStXsvQIRBNkWO8p9ZjakYQQVcn5OJTkBNLMXCDgcbXTiEpU5mLp9OnT+Pn5MWjQIF566SUuX74MwGeffcbrr79e7gGFqCxt27YFIMHMj+vYQtxsdQMJIaqW2FmcwouvlSf4c/02FJnEtsYoc7E0btw4goKCSEtLK7RY4EMPPcTGjRvLNZwQlcnb25u6detSoJgRiz/E/wr5N9SOJYSoCrKvQuISogkENNjY2MgVcDVImYulHTt28O6772JlZVVou7e3N+fPny+3YHfy3Xff0ahRI2xsbAgMDGT79u13bPvnn3/Su3dv6tSpg6OjIyEhIaxfv75Qmzlz5qDRaIrccnJyKvqtiCpGo9EYJ5aLNQskPycLDi5TN5QQompI+I3UAluOahoDGCe0FTVDmYslvV6PTqcrsv3cuXM4ODiUS6g7WbRoEePHj+edd94hPj6ezp0788ADD3DmzJli22/bto3evXuzZs0a4uLi6N69OwMHDiQ+Pr5QO0dHR5KTkwvdbGxsKvS9iKqpZcuWODk5ka1Yk0Ar2DNL7UhCCLXp9bDnZ2JoB0CLFi2oXbu2yqFEZSpzsdS7d2+mTZtmfKzRaMjKymLSpEn069evPLMV8cUXXzB69GieeeYZWrZsybRp0/Dy8uL7778vtv20adN48803ad++Pc2aNeOTTz6hWbNmrFy5slA7jUaDh4dHoVtJcnNzycjIKHQT1YOZmZnxL8YYTRD6c3sgeb/KqYQQqjq5leyr59mnaQ1Ir1JNVOZi6csvv2Tr1q20atWKnJwcRowYQcOGDTl//jyffvppRWQEIC8vj7i4OMLDwwttDw8PJyoqqlTH0Ov1ZGZmFvmLICsrC29vb+rXr8+AAQOK9DzdbsqUKWi1WuPNy8urbG9GVGk3l0BxsLMmG1vY87PakYQQaor9ib34UYAFHh4eeHt7q51IVLIyF0t169YlISGB119/neeee46AgAD++9//Eh8fj5ubW0VkBCA1NRWdTldkVWd3d3dSUlJKdYypU6dy/fp1hg4datzm4+PDnDlzWLFiBQsWLMDGxoawsDCOHj16x+NMnDiR9PR04+3s2bP39qZElWRlZcVLL73EqEf6Y0827P8dcqT3UIgaKf08StJaDmBYMDc4OFgGdtdAZZ6UEsDW1pann36ap59+urzz3NXtP6SKopTqB3fBggV88MEHLF++vFBRFxwcXKhLNSwsjHbt2vHNN9/w9ddfF3ssa2tr4/p4onqyt7eHWp3AtTmkHoH9i6DDGLVjCSEq2965aBQdo71OcaDtU7Ru3VrtREIFZS6WfvnllxL3P/HEE/ccpiSurq6Ym5sX6UW6dOlSkd6m2y1atIjRo0fzxx9/0KtXrxLbmpmZ0b59+xJ7lkQNodFw3W8UpzfPptWe2dD+GZC/KIWoOXT5EGdYWNuqwygC/QJVDiTUUuZiady4cYUe5+fnk52dbZzBu6KKJSsrKwIDA4mMjOShhx4ybo+MjGTQoDsvS7FgwQKefvppFixYQP/+/e/6OoqikJCQgJ+fX7nkFqYrMzOTr3ekodP055VLs3A6uwsayMBOIWqMv1eTm3UVK7s6aFo+qHYaoaIyj1lKS0srdMvKyiIpKYlOnTqxYMGCishoNGHCBH766Sd+/vlnDh8+zKuvvsqZM2d4/vnnAcNYoluLtQULFvDEE08wdepUgoODSUlJISUlhfT0dGObyZMns379ek6cOEFCQgKjR48mISHBeExRczk4OODl1QAFM3YTALEyjYAQNcqeWSwnnB80EZw+n6x2GqGiclkquVmzZvz3v/8t0utU3oYNG8a0adP48MMPadu2Ldu2bWPNmjXGKxOSk5MLzbk0Y8YMCgoKeOmll/D09DTebs157do1nn32WVq2bEl4eDjnz59n27ZtdOjQoULfizANN8ez7cWP3IOr4foVlRMJISrF5SOknUzgb01TLmVTaMUKUfNolHJa3CY+Pp6uXbvWyDmHMjIy0Gq1pKen4+joqHYcUY4UReHbb7/lypUr9FE2E9z7IQir2D8KhBBVwNq3Wb/rIDGaIBo3bkxERITaiUQFKO33d5nHLK1YsaLQY0VRSE5OZvr06YSFhZU9qRBVmEajITg4mNWrV7OLADrEzsYs5GUwK5dOWSFEVZR3ndz4P4hnGCCTUIp7KJYGDx5c6LFGo6FOnTr06NGDqVOnllcuIaoMf39/Nm3cyLUcJ5KumdPyxGZo2lPtWEKIipK4hPg8L3I11ri6uNC0aVO1EwmVlblY0uv1FZFDiCrL0tKSwKAgonduJ03RGmb0lmJJiOpJUdDv/oldGKYJ6CiTUArucVJKIWqa0NBQgpu4UGvOl5BkBunnQVtP7VhCiPJ2fi/HU9K5pnHC1sYaf39/tROJKqBUxdKECRNKfcAvvvjinsMIUVXZ2tpCw7bgHQand8LeX6D7RLVjCSHK255ZNOUUIxumcr3tM1haWqqdSFQBpSqW7raw7E3SVSmqvaCnST59BPs9i3Do8jqYyz+kQlQb2VchcQkaoGmPCPCSXiVhUKpiafPmzRWdQwiT8Nf5WkRrIgi9HkvvpLXQSmb1FaLaSPgNfUEuZu5+UL+92mlEFSLXPwtRBt6NGgMQhx95u+eoG0YIUX70ejJ3/8aXjGGjw8Poy2cKQlFN3NMA79jYWP744w/OnDlDXl5eoX1//vlnuQQToipq3rw5tZ0cuXoNEk5docOV4+DSRO1YQoj7dXILsde0ZGnsOZPrgJnMpSZuUeafhoULFxIWFsahQ4dYunQp+fn5HDp0iE2bNqHVaisioxBVhkajITi0EwAxtEMf+7PKiYQQ5SF/18/swTBGqWNIqMppRFVT5mLpk08+4csvv2TVqlVYWVnx1VdfcfjwYYYOHUqDBg0qIqMQVYq/vz82VuakaZw4snc75OeoHUkIcT/Sz7P/6GluaGxxcqiFj4+P2olEFVPmYun48eP0798fAGtra65fv45Go+HVV1/lxx9/LPeAQlQ1VlZWBLXvCEBMXgs4tEzdQEKI+6LEzWGX0haADiFhcgpOFFHmn4jatWuTmZkJQL169UhMTATg2rVrZGdnl286Iaqo9h06YqaBKziRHTNX7ThCiHuly+f47kgua1yxsjAjICBA7USiCirzAO/OnTsTGRmJn58fQ4cOZdy4cWzatInIyEh69pQlIETN4OjoyJNDB1FvUW/Mk/Mg5QB4+KkdSwhRVn+vZldOQ9BAQEA7bGxs1E4kqqAyF0vTp08nJ8cwRmPixIlYWlqyY8cOhgwZwnvvvVfuAYWoqhr4tIWW/Qyn4fb8DAO+VDuSEKKs9syiL/uJ8WwkA7vFHWkURSaTuF8ZGRlotVrS09NxdHRUO46oTCe3oZ/7IKmW9XF7PRqsHdROJIQorctH4Nv2oDGDcfvByUvtRKKSlfb7u8xjlrp3786sWbNIT0+/r4BCVAdXHVvztflzzMkfQH78QrXjCCHKYs8/U3807yuFkihRmYslPz8/3n33XTw8PHj44YdZtmxZkYkphagpnJyd0Vjbc0Njy76oDSAdtUKYhrzr7Iw7wGL6k9JkmNppRBVX5mLp66+/5vz58yxfvhwHBweefPJJPDw8ePbZZ9m6dWtFZBSiyjIzM6NjSBgAuzLcUc7uVjmREKI0dPsXE1PQioOaFlyyaqh2HFHF3dNkEmZmZoSHhzNnzhwuXrzIjBkz2L17Nz169CjvfEJUeQEdwrAy05OqceH45vlqxxFC3I2icHDHarI09thbaWjtJ1eyipLd18xbKSkp/PDDD3z66afs37+foKCg8solhMmwtrYmoKVhfbiYU1mQfVXlREKIkijn4oi55goY5kwzNzdXOZGo6spcLGVkZDB79mx69+6Nl5cX33//PQMHDuTIkSPs2rWrIjIKUeV17DEADQrH8ebyjl/UjiOEKMGZrfNI1rhjoVEICumsdhxhAso8z5K7uzvOzs4MHTqUTz75hPbt21dELiFMinPt2rTwsOPvlBscjo+mTq9XQJZMEKLqyb5KzPFrQG3aNGuAnZ2d2omECShzsbR8+XJ69eola+cIcZvuA4YSOudhvG4cgxOboanMaC9EVZMWNY+/lUaggeCeA9SOI0xEmSue8PBwKZSEKIZbvYZ4BfxzkcPN+VuEEFWHXo/dwV8JZysBXrWo4+amdiJhIqTqEaI8BY0G4EbSRnRXz6gcRghRyMktWKcdIcT6GA+OfF7tNMKESLEkRHly82GL0zC+VJ7h4F9z1U4jhLhV7CzDf/2Hg7W9ulmESZFiSYhyZla/HfkaS2KOXkYpkNnthagK9GlnWZRkxn5aogsYpXYcYWKkWBKinAWFD8eCApL1LuxYOYflCeeJPn4FnV6WQhGisun0CtHHr7Dpj+/5m6asM++F3rW52rGEiSnz1XAAGzduZOPGjVy6dAm9Xl9o388/y8BWUbPZOTrRUAvH0iExIZ5Pd9UDwFNrw6SBrejr66lyQiFqhnWJyUxeeYjL6Vm8YZMGGg+yFEs2JqXK76EokzL3LE2ePJnw8HA2btxIamoqaWlphW4V7bvvvqNRo0bY2NgQGBjI9u3bS2y/detWAgMDsbGxoXHjxvzwww9F2ixZsoRWrVphbW1Nq1atWLp0aUXFFzXAusRk5lz0BuCSxp3WZqcBSEnP4YVf97IuMVnNeELUCOsSk3nh170kp+fwgHkcKRoPzBQdy7Nby++hKLMyF0s//PADc+bMYdeuXSxbtoylS5cWulWkRYsWMX78eN555x3i4+Pp3LkzDzzwAGfOFH/V0cmTJ+nXrx+dO3cmPj6e//znP7zyyissWbLE2CY6Opphw4YRERHBvn37iIiIYOjQoTIbubgnOr3C5JWHOKp4otVfBY2GnhZ/A3DzJNzklYfklJwQFejm7+HN3zJfi4sAWCjZpGMLyO+hKBuNoihl+mlxcXFh9+7dNGnSpKIy3VHHjh1p164d33//vXFby5YtGTx4MFOmTCnS/q233mLFihUcPnzYuO35559n3759REdHAzBs2DAyMjJYu3atsU3fvn1xdnZmwYIFxebIzc0lNzfX+DgjIwMvLy/S09NxdHS87/cpTFf08Ss8NjMGgHDzfdSzysdGyWFeTjuy+Hem4AVjgglp4qJWTCGqtVt/D1tqzhBqnYxeY050jid/K/WM7eT3UGRkZKDVau/6/V3mnqVnnnmG33777b7C3Yu8vDzi4uIIDw8vtD08PJyoqKhinxMdHV2kfZ8+fdizZw/5+fkltrnTMQGmTJmCVqs13ry8vO7lLYlq6FJmjvF+pM6Xdvq9vMAvDDCPuWM7IUT5uvX3K9zyIHqNOY7KtUKF0u3thChJmQd45+Tk8OOPP7JhwwbatGmDpaVlof1ffPFFuYW7VWpqKjqdDnd390Lb3d3dSUlJKfY5KSkpxbYvKCggNTUVT0/PO7a50zEBJk6cyIQJE4yPb/YsCeHmYGO8r2BOQkE9BlpuIcI8koW67oCmSDshRPm6+ftlSw49NbuIV/yJKWh4x3ZC3E2Zi6X9+/fTtm1bABITEwvt02g05RKqJLe/hqIoJb5uce1v317WY1pbW2NtbV3qzKLm6NCoNp5aG1LSc1CAxbquvGHxO63NThOoOcJepQUeWhs6NKqtdlQhqq2bv4fdsjbRRnMER306HxQ8aNyvAfk9FGVS5mJp8+bNFZHjrlxdXTE3Ny/S43Pp0qUiPUM3eXh4FNvewsICFxeXEtvc6ZhClMTcTMOkga144de9aIB07Fms6w4W9oRYn2dvTgsmDWyFuVnF/2EhRE1lbqZh0oCWeP3xKgC/6nqhYA7c7NtFfg9FmdzXpJTnzp3j/Pnz5ZWlRFZWVgQGBhIZGVloe2RkJKGhocU+JyQkpEj7v/76i6CgIOPpwzu1udMxhbibvr6efP94Ozy0hi7+pbowTuLFdY0j08KdZH4XISpBi+wELpt5chUtf+i6Grd7aG34/vF28nsoyqTMPUt6vZ7/+7//Y+rUqWRlZQHg4ODAa6+9xjvvvIOZWcVNCj5hwgQiIiIICgoiJCSEH3/8kTNnzvD884YFESdOnMj58+f55ZdfAMOVb9OnT2fChAmMGTOG6OhoZs2aVegqt3HjxtGlSxc+/fRTBg0axPLly9mwYQM7duyosPchqr++vp70buXB7pNXuZTZlpy1H/F3nif6o1uhR5ja8YSo9nbu2M5xTSg5rv780LcXlzJzcHMwnHqTHiVRVmUult555x1mzZrFf//7X8LCwlAUhZ07d/LBBx+Qk5PDxx9/XBE5AcNl/leuXOHDDz8kOTkZX19f1qxZg7e3YQLA5OTkQnMuNWrUiDVr1vDqq6/y7bffUrduXb7++msefvhhY5vQ0FAWLlzIu+++y3vvvUeTJk1YtGgRHTt2rLD3IWoGczON8bLkC1eD+Hv7eRJTcumVno6DVqtyOiGqr0unkjieZYNG0dOx54M4y/QA4j6VeZ6lunXr8sMPP/Dggw8W2r58+XJefPHFSjstV5WUdp4GUYPlZTP7v69xRvGgc+v69HhktNqJhKi2Vvz4MfHJBfjYXGbYW9PVjiOqsAqbZ+nq1av4+PgU2e7j48PVq1fLejghagYrOzo2Nfx1u+fwKeM8X0KI8nU9M4P9yYZJg4ODAlROI6qLMhdL/v7+TJ9etFKfPn06/v7+5RJKiOrIp9cTOCnp3NBbcGDXFrXjCFEtxf31OzrM8dSk0qDzCLXjiGqizGOWPvvsM/r378+GDRsICQlBo9EQFRXF2bNnWbNmTUVkFKJaMHNrTg+3q+Rf2oXfdYDeakcSolopKCgg9vApwJLgJs5orGzVjiSqiTL3LHXt2pUjR47w0EMPce3aNa5evcqQIUNISkqic+fOFZFRiGrDr9sQ2pGI5b5foCD37k8QQpRaXsoRmhX8jbNyjdbhT6gdR1QjZe5ZAsMg74q86k2IaqtFP3DwhMxklEMr0LR5VO1EQlQbdom/8iCR6JqGY16nqdpxRDVSqmJp//79+Pr6YmZmxv79+0ts26ZNm3IJJkS1ZG4BgU+xZ8tKYlbGMcyzG3Xq1FE7lRCmLy8bEn4FwLzDGJXDiOqmVMVS27ZtSUlJwc3NjbZt26LRaChuxgGNRoNOpyv3kEJUK+2e4PjWRK4U2LJryzoGPBqhdiIhTN6ulbNokGOFp5M3NO2pdhxRzZSqWDp58qTxr9+TJ09WaCAhqj1HTzo2sOXvM7Dv8HF6ZGdjZ2endiohTFba1ausS7wCmgjG+TrgZGaudiRRzZRqgLe3tzcajWF6+NOnT1OvXj28vb0L3erVq8fp06crNKwQ1YV315F4KBcpUDTE7YpSO44QJm3XxpWAhqacxinkSbXjiGqozFfDde/evdjJJ9PT0+nevXu5hBKiutM06kKwwwUAYndFy+lrIe5Rbm4u8X+fAKBjIweoJUubiPJX5mJJURRjL9Otrly5Qq1atcollBDVnkaDb0gf7JUsMnP1HDx4UO1EQpikvTHbydObUUdJpUl3Gf8nKkappw4YMmQIYBjEPWrUKKytrY37dDod+/fvJzQ0tPwTClFNmbcbSfuNI9isb8+ubRvw8/Mr9g8RIUTx9Ho9u2MMp7E7OqWi8QpSOZGorkpdLGn/WSVdURQcHBywtf13ZlQrKyuCg4MZM0Yu1xSi1GwcCfJrSUrCETrY2qidRgiTk3T4MNdyFGyVG7Tp9IDacUQ1Vupiafbs2QA0bNiQN954Q67eEaIc2IWNYWhCezhnBtfeB2dvtSMJYTIKzsfjoGTR1uIYlv6T1I4jqrEyj1l64oknOH/+fJHtR48e5dSpU+WRSYiao05zaNwdFD3E/qR2GiFMit+lpYzjJzq1awWWsg6cqDhlLpZGjRpFVFTRS5137drFqFGjyiOTEDVLx+dIx571u/9my8ZItdMIYRquHIdjGzBHj1XwaLXTiGquzMVSfHw8YWFhRbYHBweTkJBQHpmEqFmahXOpVitidL7ExESTmysL7ApRkoyMDA6um4UeDTQLh9qN1Y4kqrkyF0sajYbMzMwi29PT02WuGCHuhZk5TUMH4qJcJbdAISE+Xu1EQlRpu6K2s/iYNcvoCx2fUzuOqAHKXCx17tyZKVOmFCqMdDodU6ZMoVOnTuUaToiaQtMugmDzRAB27dyGXq9XOZEQVVNubi5xcXEA+DqkQ+MeKicSNUGpr4a76bPPPqNLly60aNGCzp07A7B9+3YyMjLYtGlTuQcUokawdaaNny8bE3JIy4IjR47g4+OjdiohqpyE+HhyCxRclKs0CxsMZmX+m1+IMivzT1mrVq3Yv38/Q4cO5dKlS2RmZvLEE0/w999/4+vrWxEZhagRrEKeJZD9AMTs2KpyGiGqHr1eT8zOLQAEmx9CEzBC3UCixihzzxJA3bp1+eSTT8o7ixA1m3trOtS3IvqcjtPnU0hOTsbT01PtVEJUGUlJSVzLysVWuYF/QDuwdlA7kqgh7qlYunbtGrt37+bSpUtFxlY88cQT5RJMiJrIMfQpAn6fg6W5BbWs7+nXU4hqK3r7ZgCC2Idl8DcqpxE1SZn/NV65ciUjR47k+vXrODg4FFrLSqPRSLEkxP1o0Y8BjhMh4xyciYTacppBCDAM7FYyL2KmKLRvqAXXpmpHEjVImccsvfbaazz99NNkZmZy7do10tLSjLerV69WREYhag5zC2j/zwR7u2aAoqibR4gqwpp8Ruf9zFjm4BAmk1CKylXmYun8+fO88sorsjacEBWl3ZMoZtacSk5l6fyfyM/PVzuREOrbvxByM3Cu7QpNeqqdRtQwZS6W+vTpw549eyoiixACoJYLit+jLKMP+49f4MCBA2onEkJVJ0+c4Ea0YTF3Ojwr0wWISlfmMUv9+/fnjTfe4NChQ/j5+WFpaVlo/4MPPlhu4YSoqcyCn6XDvleJpCsxUTsICAgoND5QiJoiNzeXRQt/Q5/XnWcs03FrK+P4ROUrc7E0ZswYAD788MMi+zQajSx5IkR58PSnXT0btpzP4/KVNE6cOEGTJk3UTiVEpYuPjyc3X4cLmdRp+wDYOKodSdRAZe7L1Ov1d7xJoSRE+bEJGU0ABwGIiY5SOY0QlU+v17MreicAwcSh6fisyolETWUyJ37T0tKIiIhAq9Wi1WqJiIjg2rVrd2yfn5/PW2+9hZ+fH7Vq1aJu3bo88cQTXLhwoVC7bt26odFoCt2GDx9ewe9GiFJo+SAda50DReHY8ROkpqaqnUiISvX3339zLSPLMAllI3dwbaZ2JFFDlfk0XHGn3271/vvv33OYkowYMYJz586xbt06AJ599lkiIiJYuXJlse2zs7PZu3cv7733Hv7+/qSlpTF+/HgefPDBIgPUx4wZU+h92draVsh7EKJMzC2p3WEoLTYfIImmxMTEMGDAALVTCVFpYqIMvUpB7MMyZLy6YUSNVuZiaenSpYUe5+fnc/LkSSwsLGjSpEmFFEuHDx9m3bp1xMTE0LFjRwBmzpxJSEgISUlJtGjRoshztFotkZGRhbZ98803dOjQgTNnztCgQQPjdjs7Ozw8PEqdJzc3l9zcXOPjjIyMsr4lIUon8CmCt/bmst6Fuja5d28vRDVx7tw5zp6/gLlSQAfndGjaW+1IogYr82m4+Pj4QrfExESSk5Pp2bMnr776akVkJDo6Gq1WayyUAIKDg9FqtURFlX4sR3p6OhqNBicnp0Lb58+fj6urK61bt+b1118nMzOzxONMmTLFeDpQq9Xi5eVVpvcjRKnZ18G7TSfGMpt2V5ernUaISpN84Txm6PHjb+xDn5bpAoSqyuWnz9HRkQ8//JD33nuvPA5XREpKCm5ubkW2u7m5kZKSUqpj5OTk8PbbbzNixAgcHf+9mmLkyJEsWLCALVu28N5777FkyRKGDBlS4rEmTpxIenq68Xb27NmyvSEhykAT8iIagMMrIe202nGEqBTtHVMZp/xEN+uD4P+Y2nFEDVduK3Veu3aN9PT0Mj3ngw8+YPLkySW2iY2NBSh2jhlFUUo190x+fj7Dhw9Hr9fz3XffFdp3cyoEAF9fX5o1a0ZQUBB79+6lXbt2xR7P2toaa2vru76uEOXCvRU07k7BiW3sXzmTWh0jij31LES1Ev0djmRB+zFgVUvtNKKGK3Ox9PXXXxd6rCgKycnJzJs3j759+5bpWGPHjr3rlWcNGzZk//79XLx4sci+y5cv4+7uXuLz8/PzGTp0KCdPnmTTpk2FepWK065dOywtLTl69OgdiyUhKl3IS8SeSOevk5a4ZUbSvHlzmaRSVEs3btwg83gsbqd3gJmFYcZuIVRW5mLpyy+/LPTYzMyMOnXq8OSTTzJx4sQyHcvV1RVXV9e7tgsJCSE9PZ3du3fToUMHAHbt2kV6ejqhoaF3fN7NQuno0aNs3rwZFxeXu77WwYMHyc/Px9PTs/RvRIiK1qQnAbXfZ8vVPC6lXuHYsWM0ayaXUYvqJzY2ls2bNxNMV/q0dgPHumpHEqJ0xdL+/fvx9fXFzMyMkydPVnSmIlq2bEnfvn0ZM2YMM2bMAAxTBwwYMKDQ6QgfHx+mTJnCQw89REFBAY888gh79+5l1apV6HQ64/im2rVrY2VlxfHjx5k/fz79+vXD1dWVQ4cO8dprrxEQEEBYWFilv08h7sjMDJvQZ2m3aikxBBIVtVOKJVHtFBQUsHtXDAB1uQjBH6gbSIh/lGqAd0BAgHFCvMaNG3PlypUKDVWc+fPn4+fnR3h4OOHh4bRp04Z58+YVapOUlGQcN3Xu3DlWrFjBuXPnaNu2LZ6ensbbzSvorKys2LhxI3369KFFixa88sorhIeHs2HDBszNzSv9PQpRIv/hBNucQKPoOXXqdJEJVoUwdfv27eN69g20SgatvGpDPRkKIaqGUvUsOTk5cfLkSdzc3Dh16hR6vb6icxVRu3Ztfv311xLbKIpivN+wYcNCj4vj5eXF1q1byyWfEBXO0hZt+2H4bj/IAVoSFRXFI488onYqIcqFoihER/27tIl5yASVEwnxr1IVSw8//DBdu3bF09MTjUZDUFDQHXteTpw4Ua4BhRC36DCG0B3dOEBLDh06SFpaT5ydndVOJcR9S0pK4srVNGyUHNpp08Gnv9qRhDAqVbH0448/MmTIEI4dO8Yrr7zCmDFjcHBwqOhsQojbOXjg4deVJvtPgb07BQUFaicSolxE7fx3aROrkGfBTIZCiKqj1FfD3ZwWIC4ujnHjxkmxJIRaQl5k+P7uWFzXgNVYtdMIcd+ysrK4evmiYWkTq2MQ8LjakYQopMwzeM+ePVsKJSHU5OmPRcNQ0BfA7h/VTiPEfbO3t2e8x24iWIJD4KNgLd8xomqRxXaEMEXBLwKQued3NkeuJz8/X+VAQtyHiwexOLUZb02yTEIpqiQploQwRc37ojg3Zm5uH7ZFxbBv3z61EwlxT1JSUtBH/bMMVcuB4OytbiAhiiHFkhCmyMwMTciLtMdQJEVHRakypYcQ9yMrK4uffvqJb/dbko0NhMgYPFE1SbEkhKlqO5IA2wvYKDlcTUsjKSlJ7URClMnu3bvR6XTYKTew9WoHXh3UjiREsaRYEsJUWdlh1XE07UkAYOfOnXediFWIqiI3N5fY2N0AhLIHTadxKicS4s6kWBLClHUYQ0eLv7FQCjh//jynTp1SO5EQpRIXF0dOTi4uylVauFpAs3C1IwlxR1IsCWHK7GpTq92jBJAIwI4dO1QOJMTdFRQUEP3PGp1hxGIW9gqYydeRqLrkp1MIUxfyEqGavVgrubjaIQO9RZWXkJBA1vXrOCqZtLFPB79H1Y4kRImkWBLC1Dl74+TbmwnM4AFlC2byF7qo4k6dPAlACHswD30eLKxUTiREyeRfVSGqg9BXsKIADi6FtFNqpxGiRA/72vGE8gftrM5AuyfVjiPEXUmxJER14NkGmvQARce5yB/YtWuX2omEuCNN1Fc04ixWHZ4AG0e14whxV1IsCVFdhI3jMrWZddiWv/76i2vXrqmdSIhCUlNTyTm6Hc7uAnMr6Pi82pGEKBUploSoLhp1pY6nF42U0+j1eqL+udpIiKpAURSWL1/OtIWRHKUh+A8HBw+1YwlRKlIsCVFdaDQQNo7OGCb6i4+P5/r16yqHEsLg9OnTnDt3jgKdgieXIfQVtSMJUWpSLAlRnbQcREOtGfWUZAoKCoiJiVE7kRDAv3OABZCIvU93cG2mciIhSk+KJSGqE3MLNGEv0+mf3qXY2FhycnJUDiVqugsXLnD8+HE06AllD4TJ0ibCtEixJER103YkLWyvUUdJJTc3lz179qidSNRwN3uV/JS/cW7QWhbMFSZHiiUhqhsrOzTBLxBGLFqzGzjUqqV2IlGDpaamcvjwYcCwtAmdJqicSIiyk2JJiOqowxj8rC7wsm4G/rYX1E4jarCzZ8+iAVoox3DzqAfNeqsdSYgyk2JJiOrI1gmzDqMxRw/b/geKonYiUUMFtGzMy5a/05tt0Pk1w1WbQpgYKZaEqK5CXgILW3QX9pHw1wISExPVTiRqotifcM47h4urO7R8UO00QtwTKZaEqK5quULQU+ynJctjjhIZGUlBQYHaqUQNkZGRwaXzpyH6O8OGzhNAFnkWJkp+coWozkJfxs/sBA5KFhkZGSQkJKidSNQQW7Zs4fuf5rA9uxE4eYPvI2pHEuKeSbEkRHXmWBeLgGGE/TPv0o4dO9DpdCqHEtXdtWvX2LdvHwDenIdO48HcQt1QQtwHKZaEqO7CxhOoOYS9kkV6err0LokKt337dvR6PY2U0zRwUKDtSLUjCXFfpFgSorqr3QgLvyGGOW4wfJFJ75KoKLcW5F2JMawBZ2Gtbigh7pPJFEtpaWlERESg1WrRarVERERw7dq1Ep8zatQoNBpNoVtwcHChNrm5ubz88su4urpSq1YtHnzwQc6dO1eB70QIFXR+jUAOGHuXbp4iEaK83exVaqicwdsuFwKfVDuSEPfNZIqlESNGkJCQwLp161i3bh0JCQlERETc9Xl9+/YlOTnZeFuzZk2h/ePHj2fp0qUsXLiQHTt2kJWVxYABA+Qvb1G91GmOpe9gQtlDQ9ts6tSpo3YiUQ2lp6cTHx8P/NOrFDYOrGQGeWH6TGLE3eHDh1m3bh0xMTF07NgRgJkzZxISEkJSUhItWrS443Otra3x8PAodl96ejqzZs1i3rx59OrVC4Bff/0VLy8vNmzYQJ8+fcr/zQihlq5vEpzYkZDsvWAxEvBSO5GoZlJTU7GxgDq5Z2lYKxfaj1Y7khDlwiR6lqKjo9FqtcZCCSA4OBitVktUVFSJz92yZQtubm40b96cMWPGcOnSJeO+uLg48vPzCQ8PN26rW7cuvr6+JR43NzeXjIyMQjchqrw6LdD4/XP59tZP1c0iqqUmDRswzuZPBrNeepVEtWISxVJKSgpubm5Ftru5uZGSknLH5z3wwAPMnz+fTZs2MXXqVGJjY+nRowe5ubnG41pZWeHs7Fzoee7u7iUed8qUKcaxU1qtFi8v+QtdmIgubwIarv+9kQ3LfuPAgQNqJxLVyb6FWKWfwKmWNQQ9rXYaIcqNqsXSBx98UGQA9u23PXv2AKApZj0hRVGK3X7TsGHD6N+/P76+vgwcOJC1a9dy5MgRVq9eXWKuux134sSJpKenG29nz54t5TsWQmV1moPfI+yjFTv3HWXz5s3o9Xq1UwkTl5mZyeGDiShb/2fYIL1KoppRdczS2LFjGT58eIltGjZsyP79+7l48WKRfZcvX8bd3b3Ur+fp6Ym3tzdHjx4FwMPDg7y8PNLS0gr1Ll26dInQ0NA7Hsfa2hpra7kUVpioLm8SdCCUnUp70tJg3759BAQEqJ1KmLDt27cTGxtLgNKcB2tlS6+SqHZULZZcXV1xdXW9a7uQkBDS09PZvXs3HTp0AGDXrl2kp6eXWNTc7sqVK5w9exZPT08AAgMDsbS0JDIykqFDhwKQnJxMYmIin3322T28IyFMQJ3mWPkNJuxALJF0ZevWrfj5+WFhYRLXe4gq5tq1a8TFxQHgx9/SqySqJZMYs9SyZUv69u3LmDFjiImJISYmhjFjxjBgwIBCV8L5+PiwdOlSALKysnj99deJjo7m1KlTbNmyhYEDB+Lq6spDDz0EgFarZfTo0bz22mts3LiR+Ph4Hn/8cfz8/IxXxwlRLXV5k/aa/cZ5l/bu3at2ImGitm7dapytu1GtHAiSK+BE9WMSxRLA/Pnz8fPzIzw8nPDwcNq0acO8efMKtUlKSiI9PR0Ac3NzDhw4wKBBg2jevDlPPvkkzZs3Jzo6GgcHB+NzvvzySwYPHszQoUMJCwvDzs6OlStXYm5uXqnvT4hKVac5ln5D6MIuwHAaJT8/X+VQwtSkpqYaJzjtwU4IGw9WduqGEqICaBRFUdQOYeoyMjLQarWkp6fj6OiodhwhSufKcXTTg5muRHBNo6VXr16EhYWpnUqYkMWLF3Pw4EGaK8d5zCEWXtkLlrZqxxKi1Er7/W0yPUtCiHLm0gTzdiPpThSBtVLw8/VVO5EwISkpKRw8eBCA7uyErm9KoSSqLSmWhKjJur5JG/MTDMj6DcdLsWqnESZEp9Phaa+htfI3HrUdIeBxtSMJUWGkWBKiJnOsCx3GGO5vnAx6PXJmXpRGPWdbxuT+xEAiofs7YG6pdiQhKowUS0LUdJ0mgJU9l1POsXDWV2zYsEHtRMIURH2NJi8da7fm0HqI2mmEqFBSLAlR09VygZCxXENL0oUMdu/ebbyqVIjbnTx5kq2Ra8iL/smwoed7YCZfJaJ6k59wIQSEvERTm2t4K+coKChgy5YtaicSVZCiKPz1119siYplu64N1G8PzfuqHUuICifFkhACbBzRdJ5AL7YBhiVQLl26pHIoUdUcOHCAlJQUrMklhDjo+T6UsI6mENWFFEtCCIMOY6jvaE4r5QiKosjYJVFIQUEBmzZtAiBM2Y1dk1Bo1EXlVEJUDimWhBAGlrbQ4116sAMz9Bw9epRTp06pnUpUEbGxsaSnp+OgZBJMAvT+SO1IQlQaKZaEEP9qMwwXdy/aKfsBw4LVQty4cYNt2wynaLsRjWXboeAhk5iKmkOKJSHEv8zMIfxDuhJDONt5uHs7tROJKmDnzp3k5ORQR0mlrfkJw7xKQtQgUiwJIQpr0gP7JiGEKLFYbPk/tdOIKqCdfxtaW52nF9sxC30BtPXUjiREpZJiSQhRVO8PAQ0cWob+9C4uXryodiKhotonl/NI7iKa22VC2Hi14whR6aRYEkIU5eELbUeSgT0//Ponc+bMITs7W+1UopIVFBRATgZs+a9hQ7e3webOK7MLUV1JsSSEKF6Pd7A312OWf52cnByZqLKGURSFX375haU/f0lWdja4NIXAUWrHEkIVUiwJIYrnWBezsLH0YQsAe/bs4fLly+pmEpXm4MGDnD17lsOX81HQQK/JsliuqLGkWBJC3Fmn8TRy1OOjHENRFNavX4+iKGqnEhUsPz+fyMhIADopu3Fo3B58+qucSgj1WKgdoCbR6XTk5+erHUOYAEtLS8zNzdWOAVa1oPeH9F7yGkdoxPHjxzl27BjNmjVTO5moQNHR0WRkZOCoZBCiiYe+22VZE1GjSbFUCRRFISUlhWvXrqkdRZgQJycnPDw80Kj9JeX7MLVjfyL4zF6iNO1Zv349jRs3rhrFnCh3GRkZ7NixA4DebMeyw9Pg5qNyKiHUJcVSJbhZKLm5uWFnZ6f+l5+o0hRFITs727iQraenp7qBNBp44FM6z+hNgtIaewtnbty4gb29vbq5RIXYtGkT+fn5eCnnaW1z2XAFnBA1nBRLFUyn0xkLJRcXF7XjCBNha2sLwKVLl3Bzc1O/F8fTH5t2wxmzdz5apREau5fUzSMqRG5uLieOHwOgD1vQ9HoPbJ1VTiWE+mSAdwW7OUbJzs5O5STC1Nz8maky49x6vo+TtRmai/shfp7aaUQFsLa25qUm53hYWU09Dzdo96TakYSoEqRYqiRy6k2UVZX7manlajwlk7NhCmtXLuXMmTMqhxLl6kI81vvm4ksSPPCZYa1AIYQUS0KIMugwBtxasfVGC3bv3c+aNWvQ6/VqpxL3KSsri30J8SgrxoOiB99HwDtU7VhCVBlSLJkInV4h+vgVliecJ/r4FXR6meumMjVs2JBp06apHUN95pYw4Es6swtb5QYXL15k9+7daqcS9ykyMpJly1ewJqU2WGuhzydqRxKiSpEB3iZgXWIyk1ceIjk9x7jNU2vDpIGt6Our8pVSNURsbCy1atUqdfstW7bQvXt30tLScHJyqrhgamgQjF27ofTcu4NV9Gbz5s20bt0aBwcHtZOJe3D69Gn2798PKLTlIPSaBA7uascSokqRnqUqbl1iMi/8urdQoQSQkp7DC7/uZV1iskrJyl+VGchcjDp16sgg/Vv1mkw72wvUU5LJy8vjr7/+UjuRuAc6nY7Vq1cDEKjsp149Lwh8SuVUQlQ9UixVYTq9wuSVhyjuhNvNbZNXHqqQU3J6vZ5PP/2Upk2bYm1tTYMGDfj444+N+w8cOECPHj2wtbXFxcWFZ599lqysLOP+2NhYevfujaurK1qtlq5du7J3795Cr6HRaPjhhx8YNGgQtWrV4v/+7/9IS0tj5MiR1KlTB1tbW5o1a8bs2bONzzl//jzDhg3D2dkZFxcXBg0axKlTp+74PrZs2YJGo2H16tX4+/tjY2NDx44dOXDgQKF2S5YsoXXr1lhbW9OwYUOmTp1aaP/tp+E0Gg0//fQTDz30EHZ2djRr1owVK1YAcOrUKbp37w6As7MzGo2GUaNGAbB48WL8/PyMn1uvXr24fv363f+HVDV2tdH0+Zh+bAQUEhMTOXHihNqpRBnt2rWLy5cvY6dk01MTDQOngZl8LQhxO/mtqMJ2n7xapEfpVgqQnJ7D7pNXy/21J06cyKeffsp7773HoUOH+O2333B3N3TNZ2dn07dvX5ydnYmNjeWPP/5gw4YNjB071vj8zMxMnnzySbZv305MTAzNmjWjX79+ZGZmFnqdSZMmMWjQIA4cOMDTTz9tfL21a9dy+PBhvv/+e1xdXY2v2717d+zt7dm2bRs7duzA3t6evn37kpeXV+L7eeONN/j888+JjY3Fzc2NBx980NiTFRcXx9ChQxk+fDgHDhzggw8+4L333mPOnDklHnPy5MkMHTqU/fv3069fP0aOHMnVq1fx8vJiyZIlACQlJZGcnMxXX31FcnIyjz32GE8//TSHDx9my5YtDBkyxHTXWvMfTt2GLWiv7AMMkxma7HupgdLS0ti8eTMAvdiObfDT4OGnciohqihF3Lf09HQFUNLT04vsu3HjhnLo0CHlxo0bZT7usvhzivdbq+56WxZ/rjzehlFGRoZibW2tzJw5s9j9P/74o+Ls7KxkZWUZt61evVoxMzNTUlJSin1OQUGB4uDgoKxcudK4DVDGjx9fqN3AgQOVp556qthjzJo1S2nRooWi1+uN23JzcxVbW1tl/fr1xT5n8+bNCqAsXLjQuO3KlSuKra2tsmjRIkVRFGXEiBFK7969Cz3vjTfeUFq1amV87O3trXz55ZeFsr/77rvGx1lZWYpGo1HWrl1b6HXT0tKMbeLi4hRAOXXqVLFZb3c/PzuV5lKSkvOBh7J60mAla8/vaqcRZfDLL78oH3zwgTJn0tOK/vOWipKTqXYkISpdSd/ftzKZnqW0tDQiIiLQarVotVoiIiLuutaaRqMp9va///3P2KZbt25F9g8fPryC303puDnYlGu70jp8+DC5ubn07Nnzjvv9/f0LDXgOCwtDr9eTlJQEGGaefv7552nevLnx/1lWVlaReXmCgoIKPX7hhRdYuHAhbdu25c033yQqKsq4Ly4ujmPHjuHg4IC9vT329vbUrl2bnJwcjh8/XuJ7CgkJMd6vXbs2LVq04PDhw8b3ExYWVqh9WFgYR48eRafT3fGYbdq0Md6vVasWDg4OxiVKiuPv70/Pnj3x8/Pj0UcfZebMmaSlpZWYu8qr0xzrzmPpxyZqbXwbrl9RO5Eope6+ntQlhYFEoun/P7CW5WuEuBOTKZZGjBhBQkIC69atY926dSQkJBAREVHic5KTkwvdfv75ZzQaDQ8//HChdmPGjCnUbsaMGRX5VkqtQ6PaeGptuNPUhBoMV8V1aFS7XF/35lIbd6Ioyh0nTLy5fdSoUcTFxTFt2jSioqJISEjAxcWlyOmy268we+CBBzh9+jTjx4/nwoUL9OzZk9dffx0wjKMKDAwkISGh0O3IkSOMGDGizO/zZtbi3o9SitNJlpaWRY5X0pxD5ubmREZGsnbtWlq1asU333xDixYtOHnyZJmzVyldXge3VpCdCmvf4NixYyUWmaIKKMilftS7PKP8Rm3f3uDTX+1EQlRpJlEsHT58mHXr1vHTTz8REhJCSEgIM2fOZNWqVcaejOJ4eHgUui1fvpzu3bvTuHHjQu3s7OwKtdNqtRX9lkrF3EzDpIGtAIoUTDcfTxrYCnOz8p3puVmzZtja2rJx48Zi97dq1YqEhIRCA5N37tyJmZkZzZs3B2D79u288sor9OvXzzhwOjU1tVSvX6dOHUaNGsWvv/7KtGnT+PHHHwFo164dR48exc3NjaZNmxa63e3/WUxMjPF+WloaR44cwcfHx/h+bq6yflNUVBTNmze/5zXZrKysAIoUDRqNhrCwMCZPnkx8fDxWVlYsXbr0nl6jyrCwhkHfgsaclYnpzJ8/v1CPoKhaMjIyYOtncPkwmlp1DDN1CyFKZBLFUnR0NFqtlo4dOxq3BQcHo9VqS/2P8sWLF1m9ejWjR48usm/+/Pm4urrSunVrXn/99SKDkG+Xm5tLRkZGoVtF6evryfePt8NDW/hUm4fWhu8fb1ch8yzZ2Njw1ltv8eabb/LLL79w/PhxYmJimDVrFgAjR47ExsaGJ598ksTERDZv3szLL79MRESEcRB406ZNmTdvHocPH2bXrl2MHDnyrj1WAO+//z7Lly/n2LFjHDx4kFWrVtGyZUvj67q6ujJo0CC2b9/OyZMn2bp1K+PGjePcuXMlHvfDDz9k48aNJCYmMmrUKFxdXRk8eDAAr732Ghs3buSjjz7iyJEjzJ07l+nTpxt7tO6Ft7c3Go2GVatWcfnyZbKysti1axeffPIJe/bs4cyZM/z5559cvnzZ+P5MWr120Gk83pwHYOvWraUujkXlOXz4MF9//RVRO7YaNvT/AmrJAt9C3I1JFEspKSm4ubkV2e7m5kZKSkqpjjF37lwcHBwYMmRIoe0jR45kwYIFbNmyhffee48lS5YUaXO7KVOmGMfhaLVavLy8Sv9m7kFfX092vNWDBWOC+Wp4WxaMCWbHWz0qdELK9957j9dee43333+fli1bMmzYMON4HDs7O9avX8/Vq1dp3749jzzyCD179mT69OnG5//888+kpaUREBBAREQEr7zySrH/D29nZWXFxIkTadOmDV26dMHc3JyFCxcaX3fbtm00aNCAIUOG0LJlS55++mlu3LiBo6Njicf973//y7hx4wgMDCQ5OZkVK1YYe3/atWvH77//zsKFC/H19eX999/nww8/NF7ufy/q1avH5MmTefvtt3F3d2fs2LE4Ojqybds2+vXrR/PmzXn33XeZOnUqDzzwwD2/TpXS9S38XBWaKifR6XSsWLFClkKpQm7cuMGa1avR6fTkKJbQegi0elDtWEKYBI1SmsEZFeSDDz5g8uTJJbaJjY3lr7/+Yu7cuUVOuTVr1ozRo0fz9ttv3/W1fHx86N27N998802J7eLi4ggKCiIuLo527doV2yY3N5fc3Fzj44yMDLy8vEhPTy/ypZ2Tk8PJkydp1KgRNjblOxBb3J0pz6Rtkj875+O49tNDfK9EkKexolevXkUGz4vKpygKixcv5tChQ7gqV3jOdi0WY6MNiyMLUYNlZGSg1WqL/f6+larLnYwdO/auV541bNiQ/fv3c/HixSL7Ll++bDztU5Lt27eTlJTEokWL7tq2Xbt2WFpacvTo0TsWS9bW1lhbW9/1WELUOPUCcQp7mr47/mIFfdi0aRNNmjTBw8ND7WQ12oEDBzh06BBm6HiIdVgM+J8USkKUgarFkqurq3HCwZKEhISQnp7O7t276dChA2CYeTY9PZ3Q0LuvjD1r1iwCAwPx9/e/a9uDBw+Sn5+Pp6esuSbEPen6Nm3/XkdS6jGS9E1ZtmwZzz77LGYyM7Qq0tPTWbNmDQBdlBjqtg6D1oPVDSWEiTGJf71atmxJ3759GTNmDDExMcTExDBmzBgGDBhAixYtjO18fHyKXFmUkZHBH3/8wTPPPFPkuMePH+fDDz9kz549nDp1ijVr1vDoo48SEBAgpw6qiW7duqEoismdgjNpljZoHp3FQLNteCoX6e2VJ4WSShRFYfny5eTm5lJPSaazYzIM+ELtWEKYHJP5F2z+/Pn4+fkRHh5OeHg4bdq0Yd68eYXaJCUlkZ6eXmjbwoULURSFxx57rMgxrays2LhxI3369KFFixa88sorhIeHs2HDhnu+ZFwIAbi3plafdxjDfJrs/T+4eFDtRDWSoig0qZWNjZLDQ5r1mD08A2yd1Y4lhMlRdYB3dVHSADGTHKQrqgST/9lRFPhtGBxdD3Vacm3oMmwcnEzzvZiqtNPwQ2dyc29g3WU89HhH7URCVCmlHeBtMj1LQggTo9EYJqus5cahywV8/8MPrFq1ShbbrQT5+fnkZl+HP5+F3HSs67eFrm+pHUsIkyXFkhCi4tjXgYe+x5EsCnR6Dh48yJ49e9ROVe2tXbuWmdM/5+LZY2DlAA/PBHNVr+cRwqRJsSSEqFhNe1E/5GF6sR2A9evWceHCBZVDVV/79u0jPj6eK9kK17E1DOh2bqh2LCFMmhRLQoiK13MSwfWtaKEcQ6fXs/iP38nJyVE7VbVz+fJlVq9aBUA3omkcFA5thqqcSgjTJ8WSuKNu3boxfvx4tWPcF41Gw7Jly6rMcWosCys0Q+cwqFY8Tko6adfSWbF8uYxfKkd5eXn88fsi8gsKaKycpnPdAug7Re1YQlQLUiyJO/rzzz/56KOPStX21KlTaDQaEhISKjZUBfvggw9o27Ztke3JycnVZw03tTh6Yjv0Rx7RrMVM0XH4779JTExUO1W1oCgKa1av5nLqFeyVLIbY7sJs2C9gISsNCFEepFgSd1S7dm0cHBwq/XXz8/Mr/TXvxsPDQ5a4KQ/eodQLf5k+bCWEvbSyz1A7UbWQkJDAvv370Sh6HtGspdbQ70FbT+1YQlQbUixVNkWBvOvq3Mp4yuPW03ANGzbkk08+4emnn8bBwYEGDRrw448/Gts2atQIgICAADQaDd26dTPumz17Ni1btsTGxgYfHx++++47476bPVK///473bp1w8bGhl9//ZU5c+bg5OTEsmXLaN68OTY2NvTu3ZuzZ88Wyvj999/TpEkTrKysaNGiRZGJSm/31ltv0bx5c+zs7GjcuDHvvfeesTibM2cOkydPZt++fWg0GjQaDXPmzAGKnoY7cOAAPXr0wNbWFhcXF5599lmysrKM+0eNGsXgwYP5/PPP8fT0xMXFhZdeeqlKFoKVLvgFOvg2IVzZgvniUXDtjNqJTF4L2zS8OU8vtuPd61lo1EXtSEJUK3ItaWXLz4ZP6qrz2v+5AFa17vnpU6dO5aOPPuI///kPixcv5oUXXqBLly74+PgY1+3bsGEDrVu3xsrKCoCZM2cyadIkpk+fTkBAAPHx8YwZM4ZatWrx5JNPGo/91ltvMXXqVGbPno21tTV//fUX2dnZfPzxx8ydOxcrKytefPFFhg8fzs6dOwFYunQp48aNY9q0afTq1YtVq1bx1FNPUb9+fbp3717se3BwcGDOnDnUrVuXAwcOMGbMGBwcHHjzzTcZNmwYiYmJrFu3jg0bNgCg1WqLHCM7O5u+ffsSHBxMbGwsly5d4plnnmHs2LHG4gpg8+bNeHp6snnzZo4dO8awYcNo27YtY8aMuef/B9WCRgMPfgOXk+BiIrpfh7Hd5wOCO3WVCSvvxeUj2C17igglA7NWgyD0ZbUTCVHtSM+SKLV+/frx4osv0rRpU9566y1cXV3ZsmULAHXq1AHAxcUFDw8PateuDcBHH33E1KlTGTJkCI0aNWLIkCG8+uqrzJgxo9Cxx48fb2xTt66hmMzPz2f69OmEhIQQGBjI3LlziYqKYvfu3QB8/vnnjBo1ihdffJHmzZszYcIEhgwZwueff37H9/Duu+8SGhpKw4YNGThwIK+99hq///47ALa2ttjb22NhYYGHhwceHh7Y2toWOcb8+fO5ceMGv/zyC76+vvTo0YPp06czb948Ll68aGzn7OzM9OnT8fHxYcCAAfTv35+NGzfe46dfzVjVghGLwN6D5anebN0Zw5LFi9Hr9WonMxk3btwgcU8UzH8Ecq5hXj8QzUPfG4pRIUS5kp6lymZpZ+jhUeu170ObNm2M9zUaDR4eHly6dOmO7S9fvszZs2cZPXp0od6UgoKCIj02QUFBRZ5vYWFRaLuPjw9OTk4cPnyYDh06cPjwYZ599tlCzwkLC+Orr766Y6bFixczbdo0jh07RlZWFgUFBSVOcV+cw4cP4+/vT61a//bShYWFodfrSUpKwt3dHYDWrVsXWmPQ09OTAwcOlOm1qjVtfRj5O8GzIjhc0JRjx48TGRlJnz591E5W5el0Ohb/vogTp06TprjR2VkDjy0Ey6LFvRDi/kmxVNk0mvs6FaYmS0vLQo81Gk2JPQE3982cOZOOHTsW2nf7QsW3Fh63v0ZJ227fryhKsc8BiImJYfjw4UyePJk+ffqg1WpZuHAhU6dOveN7KE5Jr3Hr9rJ+XjWSpz91h/6PwQveYzH9iYmJwcXFpdjiWRgoisLaNWs4ceo0lkoezayuwMjFUMtV7WhCVFtyGk6Ui5tjlHQ6nXGbu7s79erV48SJEzRt2rTQ7eaA8JIUFBQUWhojKSmJa9eu4ePjA0DLli3ZsWNHoedERUXRsmXLYo+3c+dOvL29eeeddwgKCqJZs2acPn26yPu49T0Up1WrViQkJHD9+vVCxzYzM6N58+Z3fV/iNs370PqBMXRVogBYvXo1Bw8eVDlU1bV50ybi9u4FRWGIWSQeI6aDazO1YwlRrUnPkigXbm5u2Nrasm7dOurXr4+NjQ1arZYPPviAV155BUdHRx544AFyc3PZs2cPaWlpTJgwocRjWlpa8vLLL/P1119jaWnJ2LFjCQ4OpkOHDgC88cYbDB06lHbt2tGzZ09WrlzJn3/+aRycfbumTZty5swZFi5cSPv27Vm9ejVLly4t1KZhw4acPHmShIQE6tevj4ODQ5EpA0aOHMmkSZN48skn+eCDD7h8+TIvv/wyERERxlNwoow6jKHr1VNkxuxnr6YNfy5Zgo2NDU2aNFE7WZUSHRXF9n/+QOjPRnwGvw4Nw1ROJUT1Jz1LolxYWFjw9ddfM2PGDOrWrcugQYMAeOaZZ/jpp5+YM2cOfn5+dO3alTlz5pSqZ8nOzo633nqLESNGEBISgq2tLQsXLjTuHzx4MF999RX/+9//aN26NTNmzGD27NmFpi241aBBg3j11VcZO3Ysbdu2JSoqivfee69Qm4cffpi+ffvSvXt36tSpw4IFC4rNtX79eq5evUr79u155JFH6NmzJ9OnTy/DJyZupwn/iP5tPWmtJGGh5GB+brfakaqU+Ph4/oqMBKCHsp2gfk/IUiZCVBKNIusN3LeMjAy0Wi3p6elFBgvn5ORw8uRJGjVqJJdFl8GcOXMYP348165dUzuKamrkz45eh+7PF7ma+Bd1zDJh+G/QPFztVFVCzG+fsv5oDiHKHnr3DkcTJlMECHG/Svr+vpX0LAkhqg4zc8wf+pY6rbuCPh8WPc6F3Su4fPmy2snUFfMDwUc+YZSyiN49ukqhJEQlkzFLQoiqxdwChsyEgjwuJ0Xz69posDpAxKin8fT0VDtdpTqSlET986ux2zYZAO+uj0OX11VOJUTNIz1LokoaNWpUjT4FV+OZW8Kjs7FvEoyzco0beQXM/XkmZ87UnKVR4vfuZeHCBfy67Ri5WEKnCdBtotqxhKiRpFgSQlRNFtbYjviFJ3w1eCvnyC1Q+HXubI4fO6Z2sgoXE7WTFStXoqDBk4tY9p4EvSbJ7NxCqESKJSFE1WVuifXD3zIypB5NlZPk62HBb79yKDFR7WQVQlEUtmz8i/WRhukvQtjLgIeGYiZjlIRQlRRLQoiqTaPBss8HDOvdnpbKEXSKhj+WLCEpMUHtZOWqoKCAZb/PZ+uOaAC6mu2h94ixaPyHqZxMCCHFkhDCJFiEvcQjDw2mA/vwUs7TZMsLcOW42rHKzbo/ZrP/7+NoFD39LWPo9tQHaJr1VjuWEAK5Gk4IYULM/B/lgdoNyV/4JBap5+HHbugHfEVmg55FFmc2GXo97PiCTke+4YQyhP61T9LkyZmGhYaFEFWCFEtCCNPi1R7L5zfB70/C2Rg2LZlFnMU+BgwcRGv/dmqnKzW9Xs+pg3E0jv8YTmzGCXjJLxvzBxeApa3a8YQQt5DTcKJcKYrCs88+S+3atdFoNCQkJKgdSVRHDh4wahUFoRM4TX1ydGYsXraS5b/9RG5urtrp7upaWhq/fD+VeX+u4diJk2BhC4O+xXzID1IoCVEFSc+SKFfr1q1jzpw5bNmyhcaNG+Pq6qp2JFFdmVtiET6JUY02sHXxj2zPbUXC0fMcn/oJ/QcOooVf1etl0uv1xG5dz8btMeQrZlgqeeQ4NYcRi8DNR+14Qog7kGJJlFpeXh5WVlYltjl+/Dienp6Ehobe8+soioJOp8PCQn48xd2ZN+tFj/FBNFkyieXHzEjLd2LhnyvxidrIA8OewdHJWe2IAJw9cYR1yxZyIVMBzGjABQZ1bEzt8N8Mk3AKIaosOQ2nkry8vDveCgoKSt02Pz+/VG3vRbdu3Rg7diwTJkzA1dWV3r17c+jQIfr164e9vT3u7u5ERESQmpoKGGbdfvnllzlz5gwajYaGDRsChuLns88+o3Hjxtja2uLv78/ixYuNr7NlyxY0Gg3r168nKCgIa2trtm/fXurnbdy4kaCgIOzs7AgNDSUpKanQ+1ixYgVBQUHY2Njg6urKkCFDCn1eb775JvXq1aNWrVp07NiRLVu23NPnJVRk64T341/xwsgHCbU5hkbRcyI5DbN5g+Dv1YZB1GopyGXTr1/w87wFXMhUsFJy6Vf7FKNemEDtB96SQkkIEyB/uqtkypQpd9zXrFkzRowYYXz8+eefFymKbvL29mbUqFHGx1999RXZ2dlF2k2aNOmecs6dO5cXXniBnTt3cvXqVbp27cqYMWP44osvuHHjBm+99RZDhw5l06ZNfPXVVzRp0oQff/yR2NhYzM3NAXj33Xf5888/+f7772nWrBnbtm3j8ccfp06dOnTt2tX4Wm+++Saff/45jRs3xsnJqdTPe+edd5g6dSp16tTh+eef5+mnn2bnzp0ArF69miFDhvDOO+8wb9488vLyWL16tfG5Tz31FKdOnWLhwoXUrVuXpUuX0rdvXw4cOECzZs3u6TMT6rFs1p3er4Xhv+lbUmOXYX9lHywcgVKnNbF1n6BF10fQ1i79qWGdXmH3yatcyszBzcGGDo1qY25Wulm0lRvX0CTMh6hv8Mi0BwYQYH2aHr37YB/4sczGLYQJMZli6eOPP2b16tUkJCRgZWVVqnXDFEVh8uTJ/Pjjj6SlpdGxY0e+/fZbWrdubWyTm5vL66+/zoIFC7hx4wY9e/bku+++o359uWwXoGnTpnz22WcAvP/++7Rr145PPvnEuP/nn3/Gy8uLI0eO0Lx5cxwcHDA3N8fDwwOA69ev88UXX7Bp0yZCQkIAaNy4MTt27GDGjBmFip4PP/yQ3r17l/l5H3/8sfHx22+/Tf/+/cnJycHGxoaPP/6Y4cOHM3nyZGN7f39/wHDKcMGCBZw7d466desC8Prrr7Nu3Tpmz55d6H0KE2JhhVv4q7h1HgU7v4LdP3HqcgZrUy+ybv83tHQxIyCkK40DumBmdufO9XWJyUxeeYjk9BzjNk+tDZMGtqKvb/EL+ubl5JAUvZa4vXE0yd5LZ52haG9pX5cX2rri1u0/YFHyqWwhRNVjMsVSXl4ejz76KCEhIcyaNatUz/nss8/44osvmDNnDs2bN+f//u//6N27N0lJSTg4OAAwfvx4Vq5cycKFC3FxceG1115jwIABxMXFGXtGKsLEiXdeEPP2f8Bff/3Oq4xrbvvrdNy4cfcX7DZBQUHG+3FxcWzevBl7e/si7Y4fP07z5s2LbD906BA5OTnGIuimvLw8AgIC7vhaZXlemzZtjPdvrkp/6dIlGjRoQEJCAmPGjCn2ve3duxdFUYrkzs3NxcXFpdjnCBNi6wy9PoCwcZhHzqDh/jOc0rlz6AocWrWVWqv/wsfdhmYt29C4fW8sbWsZn7ouMZkXft2LctshU9JzeOHXvXz/eDtjwZR19SLHYyM5diSJI1cV8rAELElXfOjkegVNyAto/B/DzcK60t66EKJ8mUyxdLNnYM6cOaVqrygK06ZN45133jGOUZk7dy7u7u789ttvPPfcc6SnpzNr1izmzZtHr169APj111/x8vJiw4YN9OnTp0LeC3DXgdKV0bY0atX69wtEr9czcOBAPv300yLtbhYpt9P/M1Zk9erV1KtXr9A+a+vCXx63v1Zpn2dp+e+Yj5vF483n29re+TJsvV6Publ5sYVxcQWhMFG2zjR48G2e7J/Pxd1/ErcrioPptlxXbIlLUYhL2ccLW97GzbMeePpzSlOfbXuz6WRmRTp2/xQ/YEseTmRTiyxOLl2N/qjCb4ctOJ5/87Se4Z9TZzLwc9MQ2HUAmpZT5XSbENWAyRRLZXXy5ElSUlIIDw83brO2tqZr165ERUXx3HPPERcXR35+fqE2devWxdfXl6ioqDsWS7m5uYXmcsnIyKi4N1KFtGvXjiVLltCwYcNSX6nWqlUrrK2tOXPmTKFTZxX1vNu1adOGjRs38tRTTxXZFxAQgE6n49KlS3Tu3PmeX0OYCHNL3EOG0S9kGH2yUjm5cylHjiRxJi0fV30KnE+G83uIox/WGh+aWt8AbhQ5zHvKN5jpFNgH9vQBjSvuZtdoVseaFr4B1OvwIBormStJiOqk2hZLKSkpALi7uxfa7u7uzunTp41trKyscHZ2LtLm5vOLM2XKlEJjYGqKl156iZkzZ/LYY4/xxhtv4OrqyrFjx1i4cCEzZ84s9rSlg4MDr7/+Oq+++ip6vZ5OnTqRkZFBVFQU9vb2PPnkk8W+1r0+73aTJk2iZ8+eNGnShOHDh1NQUMDatWt58803ad68OSNHjuSJJ55g6tSpBAQEkJqayqZNm/Dz86Nfv3739XmJqsvc3pWmfcbQtA+gKHD1FbgQDxcPYrnvMs6ZVynAgnys0P9z0bA5OizJY5e+JclKbVq19qdH8/b0qR+ArVtDVd+PEKJiqVosffDBB3ctOmJjYwuNZSmr28f0KIpSZNvt7tZm4sSJTJgwwfg4IyMDLy+ve85oKurWrcvOnTt566236NOnD7m5uXh7e9O3b98SB8p+9NFHuLm5MWXKFE6cOIGTkxPt2rXjP//5T4mvd6/Pu1W3bt34448/+Oijj/jvf/+Lo6MjXbp0Me6fPXs2//d//8drr73G+fPncXFxISQkRAqlmkSjAZcmhpvfI9RpdIVXZsbcsflX9ARgQftgfJrI2DYhagKNoii3j2GsNKmpqcY5eu6kYcOG2NjYGB/PmTOH8ePH3/VquBMnTtCkSRP27t1baEDwoEGDcHJyYu7cuWzatImePXty9erVQr1L/v7+DB48uNS9RxkZGWi1WtLT03F0dCy0Lycnh5MnT9KoUaNC70OIu5GfHXXo9AqdPt1ESnpOkQHeABrAQ2vDjrd6lHoaASFE1VTS9/etVJ2U0tXVFR8fnxJv9/ol0ahRIzw8PIiMjDRuy8vLY+vWrcbZpQMDA7G0tCzUJjk5mcTExPuagVoIYbrMzTRMGtgKMBRGt7r5eNLAVlIoCVGDmMwM3mfOnCEhIYEzZ86g0+lISEggISGBrKwsYxsfHx+WLl0KGE6/jR8/nk8++YSlS5eSmJjIqFGjsLOzM074qNVqGT16NK+99hobN24kPj6exx9/HD8/P+PVcUKImqevryffP94OD23hP9Y8tDaFpg0QQtQMJjPA+/3332fu3LnGxzdPrW3evJlu3boBkJSURHp6urHNm2++yY0bN3jxxReNk1L+9ddfxjmWAL788kssLCwYOnSocVLKOXPmVOgcS0KIqq+vrye9W3nc8wzeQojqQ9UxS9WFjFkSFUF+doQQomKZxJilmkRqUlFW8jMjhBBVgxRLFezm7NLFLW4rRElu/szcOkO5EEKIymcyY5ZMlbm5OU5OTly6dAkAOzu7u87zJGo2RVHIzs7m0qVLODk5yfg5IYRQmRRLlcDDwwPAWDAJURpOTk7Gnx0hhBDqkWKpEmg0Gjw9PXFzcyM/P1/tOMIEWFpaSo+SEEJUEVIsVSJzc3P5AhRCCCFMjAzwFkIIIYQogRRLQgghhBAlkGJJCCGEEKIEMmapHNycPDAjI0PlJEIIIYQorZvf23ebBFiKpXKQmZkJgJeXl8pJhBBCCFFWmZmZaLXaO+6XteHKgV6v58KFCzg4OJTrhJMZGRl4eXlx9uzZEtesEfdPPuvKIZ9z5ZDPuXLI51w5KvJzVhSFzMxM6tati5nZnUcmSc9SOTAzM6N+/foVdnxHR0f5Rawk8llXDvmcK4d8zpVDPufKUVGfc0k9SjfJAG8hhBBCiBJIsSSEEEIIUQIplqowa2trJk2ahLW1tdpRqj35rCuHfM6VQz7nyiGfc+WoCp+zDPAWQgghhCiB9CwJIYQQQpRAiiUhhBBCiBJIsSSEEEIIUQIploQQQgghSiDFksq+++47GjVqhI2NDYGBgWzfvr3E9lu3biUwMBAbGxsaN27MDz/8UElJTVtZPuc///yT3r17U6dOHRwdHQkJCWH9+vWVmNa0lfVn+qadO3diYWFB27ZtKzZgNVHWzzk3N5d33nkHb29vrK2tadKkCT///HMlpTVdZf2c58+fj7+/P3Z2dnh6evLUU09x5cqVSkprmrZt28bAgQOpW7cuGo2GZcuW3fU5lf5dqAjVLFy4ULG0tFRmzpypHDp0SBk3bpxSq1Yt5fTp08W2P3HihGJnZ6eMGzdOOXTokDJz5kzF0tJSWbx4cSUnNy1l/ZzHjRunfPrpp8ru3buVI0eOKBMnTlQsLS2VvXv3VnJy01PWz/qma9euKY0bN1bCw8MVf3//yglrwu7lc37wwQeVjh07KpGRkcrJkyeVXbt2KTt37qzE1KanrJ/z9u3bFTMzM+Wrr75STpw4oWzfvl1p3bq1Mnjw4EpOblrWrFmjvPPOO8qSJUsUQFm6dGmJ7dX4LpRiSUUdOnRQnn/++ULbfHx8lLfffrvY9m+++abi4+NTaNtzzz2nBAcHV1jG6qCsn3NxWrVqpUyePLm8o1U79/pZDxs2THn33XeVSZMmSbFUCmX9nNeuXatotVrlypUrlRGv2ijr5/y///1Pady4caFtX3/9tVK/fv0Ky1jdlKZYUuO7UE7DqSQvL4+4uDjCw8MLbQ8PDycqKqrY50RHRxdp36dPH/bs2UN+fn6FZTVl9/I5306v15OZmUnt2rUrImK1ca+f9ezZszl+/DiTJk2q6IjVwr18zitWrCAoKIjPPvuMevXq0bx5c15//XVu3LhRGZFN0r18zqGhoZw7d441a9agKAoXL15k8eLF9O/fvzIi1xhqfBfKQroqSU1NRafT4e7uXmi7u7s7KSkpxT4nJSWl2PYFBQWkpqbi6elZYXlN1b18zrebOnUq169fZ+jQoRURsdq4l8/66NGjvP3222zfvh0LC/nnqDTu5XM+ceIEO3bswMbGhqVLl5KamsqLL77I1atXZdzSHdzL5xwaGsr8+fMZNmwYOTk5FBQU8OCDD/LNN99URuQaQ43vQulZUplGoyn0WFGUItvu1r647aKwsn7ONy1YsIAPPviARYsW4ebmVlHx/r+d+wtpqo3jAP497jiYUhpqKDrazRK9kJkym1KO8kYJvCmIzD9QhtEqE4uCkoKirpwaJkSiUZrRjYlUKFED+zMwZoiTNMlMFKQwWOhFuee9CPe+ap2c6eb2fj+wi52dc/Z7fhx2vnvOdoLKcns9NzeHAwcO4NKlS9i6dauvygsa3hzTbrcbkiShpaUFRqMReXl5qK6uRnNzM2eX/sCbPjudTpw4cQJVVVV48+YNnjx5gg8fPqCsrMwXpf6v+PpcyK9yfhIdHQ2VSrXkG8rU1NSSxDwvNjb2l+vLsoyoqKg1qzWQraTP8+7fv49Dhw7hwYMHyMnJWcsyg4K3vXa5XOjt7YXD4YDFYgHw86QuhIAsy+jq6sKuXbt8UnsgWckxHRcXh/j4eERERHiWJSUlQQiB8fFx6PX6Na05EK2kz1evXkVWVhZOnz4NAEhJSUF4eDh27NiBy5cvc/Z/lfjjXMiZJT9Rq9VIS0tDd3f3guXd3d3IzMz85TYmk2nJ+l1dXUhPT0doaOia1RrIVtJn4OeMUklJCVpbW/l7g2XyttcbN25Ef38/+vr6PI+ysjIkJiair68PGRkZvio9oKzkmM7KysLExAS+ffvmWTY0NISQkBAkJCSsab2BaiV9npmZQUjIwtOqSqUC8O/MB/09v5wL1+yn4/RH839LbWxsFE6nU5SXl4vw8HAxOjoqhBDi7NmzorCw0LP+/N8lT506JZxOp2hsbOStA5bB2z63trYKWZZFfX29mJyc9Dy+fv3qryEEDG97vRj/Dbc83vbZ5XKJhIQEsXfvXjEwMCBsNpvQ6/Xi8OHD/hpCQPC2z01NTUKWZXHjxg0xMjIienp6RHp6ujAajf4aQkBwuVzC4XAIh8MhAIjq6mrhcDg8t2hYD+dChiU/q6+vF1u2bBFqtVps27ZN2Gw2z2vFxcUiOzt7wfrPnz8XqampQq1WC51OJxoaGnxccWDyps/Z2dkCwJJHcXGx7wsPQN4e0//FsLR83vZ5cHBQ5OTkCI1GIxISEkRFRYWYmZnxcdWBx9s+19XVieTkZKHRaERcXJwoKCgQ4+PjPq46sDx79kzxM3c9nAslITg3SERERPQ7/M0SERERkQKGJSIiIiIFDEtEREREChiWiIiIiBQwLBEREREpYFgiIiIiUsCwRERERKSAYYmIiIhIAcMSEdEizc3NiIyM9HcZRLRO8A7eRESLzM7OwuVyYfPmzcvexmw2w2AwoKamZu0KIyK/kP1dABHReqPRaKDRaPxdBhGtE7wMR0RBx2w2w2KxwGKxIDIyElFRUTh//jzmJ9Knp6dRVFSETZs2ISwsDLm5uRgeHvZsv/gy3MWLF2EwGHDnzh3odDpERERg//79cLlcAICSkhLYbDbU1tZCkiRIkoTR0VFMT0+joKAAMTEx0Gg00Ov1aGpq8mkviOjvMSwRUVC6ffs2ZFmG3W5HXV0drFYrbt26BeBnuOnt7UVHRwdevXoFIQTy8vLw/fv33+5vZGQE7e3t6OzsRGdnJ2w2G65duwYAqK2thclkQmlpKSYnJzE5OQmtVosLFy7A6XTi8ePHGBwcRENDA6Kjo30yfiJaPbwMR0RBSavVwmq1QpIkJCYmor+/H1arFWazGR0dHXjx4gUyMzMBAC0tLdBqtWhvb8e+fft+uT+3243m5mZs2LABAFBYWIinT5/iypUriIiIgFqtRlhYGGJjYz3bjI2NITU1Fenp6QAAnU63toMmojXBmSUiCkrbt2+HJEme5yaTCcPDw3A6nZBlGRkZGZ7XoqKikJiYiMHBwd/uT6fTeYISAMTFxWFqakqxhqNHj6KtrQ0GgwFnzpzBy5cv/2JEROQvDEtERACEEAvC1WKhoaELnkuSBLfbrbjP3NxcfPz4EeXl5ZiYmMDu3btRWVm5KvUSke8wLBFRUHr9+vWS53q9HsnJyfjx4wfsdrvntS9fvmBoaAhJSUkrfj+1Wo25ubkly2NiYlBSUoK7d++ipqYGN2/eXPF7EJF/MCwRUVD69OkTKioq8O7dO9y7dw/Xr1/HyZMnodfrkZ+fj9LSUvT09ODt27c4ePAg4uPjkZ+fv+L30+l0sNvtGB0dxefPn+F2u1FVVYWHDx/i/fv3GBgYQGdn518FMiLyD4YlIgpKRUVFmJ2dhdFoxLFjx3D8+HEcOXIEANDU1IS0tDTs2bMHJpMJQgg8evRoyaU2b1RWVkKlUiE5ORkxMTEYGxuDWq3GuXPnkJKSgp07d0KlUqGtrW21hkhEPsI7eBNR0OHdtIloNXFmiYiIiEgBwxIRERGRAl6GIyIiIlLAmSUiIiIiBQxLRERERAoYloiIiIgUMCwRERERKWBYIiIiIlLAsERERESkgGGJiIiISAHDEhEREZGCfwDcjaMqFfwJ0AAAAABJRU5ErkJggg==", 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", 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" ] @@ -183,7 +183,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -218,9 +218,9 @@ "id": "b0b613e8", "metadata": {}, "source": [ - "### Derivation\n", + "### Differentiation\n", "\n", - "Let's compute the derivation matrix for a stencil of $N$ points, allowing to approximate the derivative of any 1D function known on the $N$ stencil points.\n", + "Let's compute the derivative matrix for a stencil of $N$ points, allowing to approximate the derivative of any 1D function known on the $N$ stencil points.\n", "We can generate this $D$ matrix like this :" ] }, @@ -231,7 +231,7 @@ "metadata": {}, "outputs": [], "source": [ - "D = approx.getDerivationMatrix()" + "D = approx.getDerivativeMatrix()" ] }, { @@ -289,7 +289,7 @@ } ], "source": [ - "D2 = approx.getDerivationMatrix(order=2)\n", + "D2 = approx.getDerivativeMatrix(order=2)\n", "np.allclose(D2[2]*(0.25)**2, [-1/12, 4/3, -5/2, 4/3, -1/12])" ] }, @@ -327,7 +327,7 @@ "id": "94001027", "metadata": {}, "source": [ - "> 💡 Note that we cannot retrieve the function derivative on any points, as we did for the interpolation. However, we can still use the interpolation matrix $P$ determined later, and combine with the derivation matrix $D$ :" + "> 💡 Note that we cannot retrieve the function derivative on any points, as we did for the interpolation. However, we can still use the interpolation matrix $P$ determined later, and combine with the derivative matrix $D$ :" ] }, { @@ -338,7 +338,7 @@ "outputs": [ { "data": { - "image/png": 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", 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" ] @@ -542,13 +542,13 @@ "source": [ "... here the zeros coefficients are simply applied to the first duplicated values in the interpolation matrix.\n", "\n", - "> 📣 The same behavior is also applied for the `getIntegrationMatrix` and `getDerivationMatrix` methods, and for each of those using the parameter `duplicates=False` return the matrix as if there was not duplicates in the points (default is `True`)." + "> 📣 The same behavior is also applied for the `getIntegrationMatrix` and `getDerivativeMatrix` methods, and for each of those using the parameter `duplicates=False` return the matrix as if there was not duplicates in the points (default is `True`)." ] } ], "metadata": { "kernelspec": { - "display_name": "base", + "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, @@ -562,7 +562,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.12.11" + "version": "3.13.5" } }, "nbformat": 4, From 14fc2189dee8c3508fae1bf09aaf4ff35b4d47b5 Mon Sep 17 00:00:00 2001 From: Thomas Baumann <39156931+brownbaerchen@users.noreply.github.com> Date: Tue, 22 Jul 2025 14:24:24 +0200 Subject: [PATCH 3/3] Reintroduced `getDerivationMatrix` but with deprecation warning --- docs/notebooks/21_lagrange.ipynb | 2 +- qmat/lagrange.py | 5 +++++ tests/test_2_lagrange.py | 2 +- 3 files changed, 7 insertions(+), 2 deletions(-) diff --git a/docs/notebooks/21_lagrange.ipynb b/docs/notebooks/21_lagrange.ipynb index 079c1fb..de22719 100644 --- a/docs/notebooks/21_lagrange.ipynb +++ b/docs/notebooks/21_lagrange.ipynb @@ -10,7 +10,7 @@ "📜 _The_ `LagrangeApproximation` _class from the_ `qmat.lagrange` _module is a multi-purpose class to perform interpolation, integration or derivative approximation from a given set of 1D points._\n", "_It is based on the Barycentric Lagrange interpolation theory, originally developed by Joseph-Louis Lagrange around 1795, and widely popularized by the paper of Jean-Paul Berrut ahd Llyod N. Trefethen : [\"Barycentric Lagrange interpolation\"](https://doi.org/10.1137/S0036144502417715)._\n", "\n", - "The main concept behind the `LagrangeApproximation` class is to precompute the barycentric weights for any provided set of points, then use them to generate value-independent matrices used later to compute approximations (interpolation, integration or derivation) from values vectors." + "The main concept behind the `LagrangeApproximation` class is to precompute the barycentric weights for any provided set of points, then use them to generate value-independent matrices used later to compute approximations (interpolation, integration or derivative) from values vectors." ] }, { diff --git a/qmat/lagrange.py b/qmat/lagrange.py index 2c6334c..f1c552d 100644 --- a/qmat/lagrange.py +++ b/qmat/lagrange.py @@ -531,6 +531,11 @@ def getDerivativeMatrix(self, order=1, duplicates=True): else: return D1, D2 + def getDerivationMatrix(self, *args, **kwargs): + import warnings + warnings.warn("Function `getDerivationMatrix` is deprecated. Use `getDerivativeMatrix` instead!", DeprecationWarning) + return self.getDerivativeMatrix(*args, **kwargs) + def getSparseInterpolationMatrix(inPoints, outPoints, order): """ diff --git a/tests/test_2_lagrange.py b/tests/test_2_lagrange.py index 990f071..05be0af 100644 --- a/tests/test_2_lagrange.py +++ b/tests/test_2_lagrange.py @@ -104,7 +104,7 @@ def testDerivative(nNodes, weightComputation): D1, D2 = approx.getDerivativeMatrix(order="ALL") assert np.allclose(D1, approx.getDerivativeMatrix()) - assert np.allclose(D2, approx.getDerivativeMatrix(order=2)) + assert np.allclose(D2, approx.getDerivationMatrix(order=2)) polyCoeffs = np.random.rand(nNodes) polyNodes = np.polyval(polyCoeffs, nodes)