{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Riemann Problems\n", "\n", "The code solves Riemann Problems for the relativistic Euler equations\n", "\n", "$$\n", " \\partial_t \\begin{pmatrix} D \\\\ S_x \\\\ S_t \\\\ \\tau \\end{pmatrix} + \\partial_x \\begin{pmatrix} S_x \\\\ S_x v_x + p \\\\ S_t v_x \\\\ (\\tau + p) v_x \\end{pmatrix} = 0.\n", "$$\n", "\n", "For further details on this system of equations, see the [Living Review of Martí and Müller](http://computastrophys.livingreviews.org/Articles/lrca-2015-3/), particularly [section 3.1](http://computastrophys.livingreviews.org/Articles/lrca-2015-3/articlese3.html#x6-190003.1) for the equations and [section 8.5](http://computastrophys.livingreviews.org/Articles/lrca-2015-3/articlese8.html#x11-1150008.5) for the solution of the Riemann Problem.\n", "\n", "The initial data is piecewise constant: two states $w_{L, R}$ are specified, each in terms of $w = (\\rho_0, v_x, v_t, \\epsilon)$, (the specific rest mass density, normal ($x$) and tangential ($t$) velocity components, and the specific internal energy). At $t=0$ the data is set by $w_L$ for $x<0$ and $w_R$ for $x>0$. Each state has associated with it an equation of state (EOS) to close the set of equations: the EOS does not need to be the same for each state.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Code\n", "\n", "To set up a Riemann problem, first set up a left and right state. Each state has its own equation of state. Here we use the first test from the [Test Bench section](http://computastrophys.livingreviews.org/Articles/lrca-2015-3/articlese6.html#x9-690006.3) of the [Living Review](http://computastrophys.livingreviews.org/Articles/lrca-2015-3/):" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from r3d2 import eos_defns, State, RiemannProblem" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "eos = eos_defns.eos_gamma_law(5.0/3.0)\n", "test_1_U_left = State(10.0, 0.0, 0.0, 2.0, eos, label=\"L\")\n", "test_1_U_right = State(1.0, 0.0, 0.0, 1.5e-6, eos, label=\"R\")\n", "test_1_rp = RiemannProblem(test_1_U_left, test_1_U_right)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Riemann Problem will produce output directly in the notebook:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/ih3/anaconda/lib/python3.4/site-packages/matplotlib/tight_layout.py:222: UserWarning: tight_layout : falling back to Agg renderer\n", " warnings.warn(\"tight_layout : falling back to Agg renderer\")\n" ] }, { "data": { "image/png": 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vXs3KlSs12sqVK8fu3bspUaKEvsMURVC9etC+Pfzwg3r0QghRcCUlJeHv74+r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\\\\ 2.0000 \\end{pmatrix},\\\\ \\begin{pmatrix} \\rho \\\\ v_x \\\\ v_t \\\\ \\epsilon \\end{pmatrix}_{R} = \\begin{pmatrix} 1.0000 \\\\ 0.0000 \\\\ 0.0000 \\\\ 0.0000 \\end{pmatrix}, \\end{cases} \\quad \\implies \\quad {\\cal R}_{\\leftarrow}{\\cal C}{\\cal S}_{\\rightarrow}, \\quad p_* = 1.4479, \\quad\\begin{cases} {\\cal R}_{\\leftarrow}: \\lambda^{(0)}\\in [-0.7161, 0.1672],\\\\ {\\cal C}: \\lambda^{(1)}= 0.7140,\\\\ {\\cal S}_{\\rightarrow}: \\lambda^{(2)}= 0.8284, \\end{cases} \\quad \\begin{cases} \\begin{pmatrix} \\rho \\\\ v_x \\\\ v_t \\\\ \\epsilon \\end{pmatrix}_{\\star_L} = \\begin{pmatrix} 2.6393 \\\\ 0.7140 \\\\ 0.0000 \\\\ 0.8229 \\end{pmatrix},\\\\ \\begin{pmatrix} \\rho \\\\ v_x \\\\ v_t \\\\ \\epsilon \\end{pmatrix}_{\\star_R} = \\begin{pmatrix} 5.0708 \\\\ 0.7140 \\\\ 0.0000 \\\\ 0.4283 \\end{pmatrix}. \\end{cases}$" ], "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "test_1_rp" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This output should be interpreted as follows. First it displays the initial states ${\\bf U}_{L, R}$. It then gives the resulting wave pattern: in this case a left going rarefaction, a contact, and a right going shock. It then gives the pressure $p_*$ in the central states (the pressure and normal velocity do not jump across the contact). Next it gives the speeds of each wave. Finally, it gives the constant states between the left wave and the contact ${\\bf U}_{*_L}$ and between the contact and the right state ${\\bf U}_{*_R}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also display the output graphically in the notebook:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from IPython.display import display_png" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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vXs3KlSs12sqVK8fu3bspUaKEvsMURVC9etC+Pfzwg3r0QghRcCUlJeHv74+r\nqysdO3Zk7NixnD17NsvHnz17lokTJ9KlSxdcXFxwd3fn6NGj+gtY5BvJyfD99/Dxx3D5MuzZoy5w\nVq6coSMThiRJtg7l5gYdFRXF9OnT6d27N507d2bkyJHs3LlT51W5DWnq1Km0adOGyZMnExMTo7N+\ne/bsSZUqVXQ+mt28eXOMjY11PpqdNpKt6+JnUVFRmJub4+DgoNN+DUmlUuHu7k5CQgKbNm3CKJPH\nwYcOHcLLy0ujzczMjF27dsn6OKFXkybB2bPqrViEEAXX/Pnz2bFjB+3bt8fLywsjIyOmTZuWpQf4\n+/btY+rUqZiYmDBq1CjGjBlD/fr1iY2NzYPIhSH9+Sc0bgzTpqlHrf/+G1xcDB2VyA8kydahnN6g\nr1y5gpeXF7GxsQwYMICxY8dSsWJFVqxYUajW9xQrVoyAgABSU1Px8fHR2QOEtNHs0NBQnY5mW1lZ\n4eTkpPMkW58j2YWtsvj69evZvn07a9asoXLlyhm+5+rVq7i6umqtcV+/fj1NmzbNizBFEfb55+o9\nT7/5RkazhSioLl26xJEjRxg1ahSjR4/GxcWFH374AXt7e/zfs1ff/fv3WbZsGb169WLBggV0796d\nrl27MnbsWPr27ZtHVyDyWlKS+r7fpAmkpsKpU+DnB/83jiKEJNm6kpsb9O7du1EoFCxdupQ+ffrQ\npUsXZs+eTb169QgNDc2jK8gbFSpUYN26dYSHh7/355IdvXr1okqVKixZskRnfYK6yviJEydI0mFl\nI32NZF++fLlQFT2Liopi/PjxjBw5kj59+mT4nidPntC1a1fi4uI02mfOnMnAgQPzIkxRxCkU8PXX\n8NtvcOSIoaMRQuREeHg4RkZGdOnSJb3N1NSUzp07ExkZyYMHDzI9dvfu3aSmpqZvU6rLAq8if7p4\nUV3IbM4cmD4dzpxRj2YL8SZJsnUkNzfoly9fYmpqmp58pbG1tcXMzExvMRtKjx49cHd3Z+HChfz1\n11866dPY2Jjx48ezb98+IiMjddInqJPs58+fExERobM+9ZFkq1QqoqOjqVmzZqHZvsvf359KlSpl\n+uAkOTmZfv36ERUVpdHes2dPZs+enRchCgFA587q0eyvv5bRbCEKomvXrlGpUiXMzc012mvXrg1A\ndHR0psdGRETwwQcfcOrUKfr27YuLiwvdu3dn/fr1qOSGUKgkJ8O8eeDkpN7C8dQpmD0bCtEEQqFD\nkmTrSG5c0M3CAAAgAElEQVRu0PXr1+fFixcsWrSIW7duERMTw+7du/ntt98YNGiQXuM2FD8/Pxwc\nHBg/frzOqmz36tWLDz/8UKdrs+vWrUupUqV0OmVcH0n23bt3SUhIKFSVxRctWsTRo0e1Hj6lmThx\nIvv379doa9CgAZs2bZJK4iJPKRQwaxYcPw5S50iIgufRo0fY2dlptdvZ2aFSqXj06FGmx965c4fY\n2FgWLlyIi4sL33zzDU2bNiUgIIB169bpM2yRh65ehZYt4V//Am9vdS2ORo0MHZXIzwrHkFc+kJsb\ndJcuXbh58yZ79uxh7969gHoP6PHjx9O1a1e9xWxI5ubmbNmyhSZNmvDVV1+xaNGiXPdpYmLC+PHj\nmTRpEpGRkdSpUyfXfRoZGdGqVSvCw8OZOnVqrvtL69PCwkKna7LTRnPr1aunsz4NrVixYpQvXz7D\n1/z9/Vm+fLlGm729vVQSz8fu3r3LunXruHjxIvHx8ZQtW5Z27drRr1+/QjFjp0sX9ejGzJlw4oQ6\n8RZCFAyJiYkZLrVKq3GSmJiY6bFp08NHjx5Nv379AGjVqhXPnj1jx44dDBo0SGsARhQcKhVs3Ajj\nxkH58uqlQc2aGToqURBIkq0jublBFytWjAoVKtC4cWNat26Nqakphw4dYtmyZdja2tKiRQu9xW1I\n9erVY+HChUyYMAGlUqmTBwq9e/dm6dKlLFmyhDVr1uggSvVWXpMmTeLx48fY2trqpE8rKyudjmRf\nuXIFCwsLqlatqrM+86sjR44wbtw4jba0SuKZFUcThvXgwQPGjBmDlZUVPXv2pGTJkvz999/8/PPP\nXL16lTlz5hg6xFxTKGD+fPWWXjt3Qu/eho5ICJFVZmZmGdZeef36dfrr7zo2MTGRtm3barS3bduW\nM2fOEB0d/d6tNX18fLC2ttZoGzBgAAMGDMjqJQg9ePIExoyBrVthxAhYtkwKmxU2gYGBBAYGarQ9\nffpUJ31Lkq0jublB//rrrwQFBbFp0yaKFy8OqNcCT5w4kaVLl9KsWbP3Tn8tqDdoLy8v9u3bx7Rp\n0/jkk09yvd1S2mj25MmTuXz5cvp0/dxwdnZGpVJx/Phxunfvnuv+AEqUKKHzkWwHB4dCU/QsM9HR\n0fTu3Zvk5GSN9nXr1vHpp58aJCZ93qALi7CwMF68eMHKlSv54IMPAHBxcSE1NZUDBw7w/PnzTJcF\nFCSffQYdO6q3cunWDQr5f0chCg07OzsePnyo1Z42CzGjmYppSpcuzd27dylVqpRGu42NDSqVKkuf\n9X5+fjRs2DCbUQt9OnECBg1SJ9pbtsD/TVIQhUxGuVJERAROTk657lsWLuqInZ1dhlPCs3KD3r17\nN5988kl6gp2mefPmPHr0iPv377/3/H5+fuzevVvjT35PsAEUCgW//PILZmZmTJgwQWsbppzo06cP\nlStX1tna7PLly1OrVi2OHTumk/5A9yPZUVFR1KhRo1An2ZlVEp8+fbpBaxcMGDBA6/+ervdsL+jS\nplPa2NhotNva2qJQKArV7+3ChXDtGuhw8wQhhJ45ODhw584drcrgkZGRKBQKqlevnumxNWrUANBK\n0h8+fIhCodC674n8LSVFvTWXszNUqgR//SUJtsgZSbJ1JDc36MePH2eYXKaN1uki8czPypQpw8aN\nGzl16pTWOtucMDExwcvLi//85z9aladzSqlUcvToUZ1VCrW0tNRZkp2amsrVq1cLVWXxtyUnJ9O/\nf38uX76s0d6jRw++/fZbA0Ulsqp+/fqoVCoWLlxIdHQ0Dx484PDhw+zevZvevXsXijXZaerWheHD\n1V/SZEKDEAWDUqkkJSWFkJCQ9LakpCTCwsJwdHSkTJkygPr72q1btzS+l7Vp0waVSpVeUwfUO36E\nhoZiZWVFzZo18+5CRK7ExkKHDuqK4bNmqQtZfvihoaMSBZUk2TqSmxt05cqVOXv2rMaUotTUVI4c\nOYK5uTkVKlTIuwsxkA4dOuDt7c2SJUs4c+ZMrvtzdXWlYsWKOts3W6lUcv/+fa5cuaKT/qysrHQ2\nXTzt4c5HH31UICuLv3r1im+++eadDx0mT55MWFiYRlv9+vWlkngB0aRJE9zc3Dh79mx6caC5c+fS\nq1cvPDw8DB2ezs2ZAy9fqrf0EkLkf46OjiiVStauXYu/vz979uzBx8eHmJgY3N3d09+3Zs0ahg8f\nrjFq3bJlSxo2bMjmzZtZvHgxwcHBTJ06lb///ptRo0YV2offhc2JE9CwIVy4AAcOwFdfgfzTidyQ\nb6c6kpsb9IABA4iPj8fDw4MtW7YQFBTE+PHjiY6OZuDAgRgZGRnikvLcggULcHR0ZMKECTx79ixX\nfZmamuLl5UVISIhOEuOmTZtiZmams628SpQoobOR7IJeWXz69Ol89913XL9+PcPXf/rpJ5YuXarR\nVrZsWXbv3l0o1vEWFfb29tSvX5/Jkycze/ZsOnXqxObNm9m1a5ehQ9O5ihXVoyDLl8P584aORgiR\nFTNmzKB3794cPHiQFStWkJqayrx58zSKlikUigwfZn/77bf06tWL33//nVWrVhEXF8fMmTNxcXHJ\ny0sQOaBSgZ8ftG4NVavCn3/CWzXshMgReUajQzNmzGD9+vUcPHiQ+Ph4qlWrlqUb9GeffYaNjQ2/\n/vor27ZtIyEhgcqVKzNx4sQidYM2NTVl69atNGzYkBkzZrBixYpc9de3b1+WLVvGkiVLWLVqVa76\nMjc3p2nTpoSHhzN69Ohc9QW6XZN95coVLC0t+bAAzmkKDQ1lyZIl+Pn5ZfiQ4OjRo4wdO1ajzdTU\nlF27dqUX0BL53+HDh1m8eDEBAQHp9SlatmxJSkoKa9asoV27dlhZWRk4St3y9oaff4axY+HYMZAJ\nF0LkbyYmJri7u2sMjLzN19cXX19frfbixYvj6emJp6enPkMUOvbsGbi5wY4dMHkyfPedFKwUuiNJ\ntg7l5gbdqFEjGsmu9tSuXRs/Pz/GjBmDUqnE1dU1x32ljWZPnz4dHx+f9OIkOaVUKvn+++959eqV\nVpG67NLlmuy0yuJp28UVFDExMQwbNoyOHTsyfvx4rdevXbuWYSXxtWvX0kw2qSxQgoODqVGjhlYB\nyBYtWrB//36uXr36zsq6BXH3BFNTWLlSPSLyyy/qddpCFDRFafeEpKQkrYGSkSNHvrfKcGhoKAsX\nLtRqVygUbN++XavquMgfrl5V7wLxv/+pt13s2dPQEYnCRpJske+MHj2asLAwvvzyS5ycnKhWrVqO\n++rXr1/6aPbKlStzFZdSqWTOnDmcPn0aZ2fnXPWlyzXZUVFR1K5du0Ct+1KpVLi5uQHw888/a62r\nfvr0KV27duXx48ca7b6+vgwZMiTP4hS6ERcXR8mSJbXas1rcsaBub9OmDQwYAFOmgIsL/F9pDiEK\nDH1ub5PfzJ8/n+PHj9OnTx8qVqxIaGgo06ZNw8/Pj48//vidxyoUCkaMGEG5cuU02mVJU/504AD0\n7Qv29nD6NNSqZeiIRGEkE9hEvqNQKFi7di0lS5ZkwoQJWiOZ2WFqasq4ceMIDg4mOjo6V3HVrl2b\ncuXK6WRddtpIdm6rlaemphIdHU2tWrUKVJK9YsUK9u7dy4YNG7C3t9d4LSUlhQEDBnDp0iWN9m7d\nuvHdd9/lZZhCRypXrszVq1e5e/euRvuhQ4dQKBQ4ODgYKDL98/NTr/kbN87QkQghMnPp0iWOHDnC\nqFGjGD16NC4uLvzwww/Y29vjn8X9+Jo0acJnn32m8acwbU9YGKhUsHQpdOwIn34Kp05Jgi30R5Js\nkS/Z2toSEBDAuXPnWLRoUa766t+/P+XKldMqnpVdCoUCZ2dnnSXZSUlJJCYm5qqfW7du8erVqwJV\nWfz8+fNMmTKF8ePH07lzZ63Xp0yZwr59+zTa6tatS0BAgFQSL6D69etHamoqXl5ebNq0ieDgYKZN\nm8bJkyfp3Lkztra2hg5Rb+ztYcUK2LYNtm83dDRCiIyEh4djZGREly5d0ttMTU3p3LkzkZGRPHjw\nIEv9vHz5ktTUVH2FKXIhMRG++EJdL2PiRNizB2QLc6FP8o1V5FutW7fG19eXVatWceLEiRz3Y2Zm\nxrhx49i1a1euR7OVSiWXLl0iJiYmV/2kFXlKSEjIVT9pldPfLK6X35UsWZJBgwaxYMECrdfWrVuH\nn5+fRluZMmUICQkpdIWxipJ69eqxYsUKatWqxe7du1m5ciX37t3jiy++wNvb29Dh6V2/fur1fmPH\nQha/qwsh8tC1a9eoVKkS5ubmGu21a9cGeO93B5VKhY+PDy4uLnTs2JGZM2dqzdwRhvPwIbRrBwEB\nsHEjfP89FJGNe4QBSZIt8rXZs2fTsGFDfHx8iIuLy3E/AwYMoGzZsrkezXZ2dkahUOR6NDttnVZu\n12VHRUVhZWVF5cqVc9VPXqpSpQrr1q3TKh537NgxrT2TTU1NCQoKKpCV04WmWrVqMW/ePP7973+z\nf/9+Nm7cyIABA4rE7ASFAlavhpQUdaKdy1UiQggde/TokVZhRgA7OztUKhWPHj3K9NjixYvTsWNH\nvL29mTNnDgMGDCAiIgIvL68sj4AL/bl2DZo3hytXIDwchg41dESiqCj8325EgWZsbExgYCDPnj1j\nypQpOV7DbGZmhpeXF7t27eLatWs5jsfW1pa6devmOslOG5XNbYXxglpZ/G3Xr1+nV69eJCUlabSv\nWbOGFi1aGCgqIXTH3h5+/FE9ZXz9ekNHI4R4U2JiYobrp9M+W9+1tKt169ZMnTqV9u3b06JFC0aM\nGMHChQt5+vQpAQEBeotZvN/p05C2Gcnvv6vXYQuRVyTJFvmeg4MDK1euZN++fWzevDnH/fTv318n\no9lKpZJjx47lat1ViRIlAN2MZNesWbNAFT1727Nnz+jatavWSMGUKVMYNmyYgaISQvdcXdVrAr28\n4K26fkIIAzIzM9N6yAvw+vXr9Nezo27dujg6OhIREaGT+ET27d4NrVtD9epw8iQU4vqaIp8quN/M\nRZEyZMgQ9u3bxzfffEOTJk2oWbNmtvsoXrw4np6efPXVV3h7e+d4azClUsny5cu5ePEi9erVy1Ef\nuhjJTklJ4dq1a/Tq1avAJtlplcQjIyM12rt06cK8efMMFJUQ+rN0KZw4Af37w3//C2+tmhBCGICd\nnR0PHz7Uak97+JvRVPL3KVOmDLdv387Se318fLC2ttZoy2j7NJE1q1erd3To0UO9DvutpfZCpAsM\nDCQwMFCj7enTpzrpu2B+MxdFkr+/P7///jteXl7s3r0720+WAQYOHMiKFSvS987OCScnJ0qUKEF4\neLhBk+x//vmHxMTEAlVZ/G2+vr7s3btXo+3jjz/m119/xUiqkohCyMICtm6Fxo1h0iRYudLQEQkh\nHBwcOHfuHC9fvtQofhYZGYlCoaB69erZ7vPevXvYZLF8tZ+fHw0bNsz2OYQmlQrmzoUvv4QJE+CH\nH6TAmXi3jB5mRURE4OTklOu+Zbq4DiUlJeHv74+rqysdO3Zk7NixnD17NsvHnz17lokTJ9KlSxdc\nXFxwd3fn6NGj+gu4gLGysuLXX3/l8uXLOR7lTBvN3rlzJzdu3MhRH6amprRo0SJX67KLFy+OkZFR\nrqaLp1UWz2minxdevHiR6WsbNmzghx9+0GgrXbq0VBIXhV7durBkCaxaBb/8YuhohBBKpZKUlBRC\nQkLS25KSkggLC8PR0ZEyZcoA8PjxY27dukVKSkr6+zIa9Tp16hRXrlyhSZMm+g9eAOoEe8oUdYI9\ndy74+UmCLQxLkmwdmj9/Pjt27KB9+/Z4eXlhZGTEtGnTuHjx4nuP3bdvH1OnTsXExIRRo0YxZswY\n6tevT2xsbB5EXnA0a9aMWbNmsXbtWg4fPpyjPgYOHIidnR3Lli3LcRxKpZI//vgjxyPRCoUCKyur\nXI1kR0VFUbJkSSpVqpTjPvQpISGBRo0asXz5cq3Xjh8/jru7u0abiYkJQUFBVKlSJY8iFMJw3N3B\nzQ1Gj4Y//jB0NEIUbY6OjiiVStauXYu/vz979uzBx8eHmJgYjc+qNWvWMHz4cI2p5ePGjeObb75h\ny5YthISE8MMPP/Dll19ib2/PoEGDDHE5RU5KCowapR65XrECZsxQ7+oghCHJdHEduXTpEkeOHMHD\nwwNXV1cA2rdvj5ubG/7+/hkmGmnu37/PsmXL6NWrF56ennkVcoE1Y8YMDhw4wKRJk9i/f3/6E+as\nMjc3x9PTk9mzZzNhwoQcJXVKpZKkpCROnjzJ559/nu3jQV38LDcj2VFRUVSvXj3Diqj5wcSJE7l5\n8ybt27fXaL9x40aGlcT9/f1p2bJlXoYohMEoFOqp4hcvQq9e6kS7bFlDRyVE0TVjxgzWr1/PwYMH\niY+Pp1q1asybN4+6deumv0ehUGgtz2rTpg2nTp3i7NmzvHr1Cjs7O7p27crQoUOzPF1c5Nzr1zBk\nCOzYoZ4ZNGSIoSMSQk1GsnUkPDwcIyMjunTpkt5mampK586diYyMfOdeibt37yY1NZURI0YA8PLl\nS73HW5AZGRmxefNmkpKSmDRpUo6qfA8aNChXo9lVqlThgw8+4NixYzk6HtTT3xMSEnJ8fH6uLB4U\nFMSaNWtYunQptWvXTm+Pj4+nW7duWgVmJk2alP77L0RRUby4+othYqK68vj/FTIWQhiAiYkJ7u7u\n/Pvf/yY0NJRVq1Zprcv09fXl0KFD2Nvbp7e5ubmxZs0adu/ezf79+wkMDGT8+PGSYOeBxETo3Rt2\n7VJvjygJtshPJMnWkWvXrlGpUiWNghlAeoIRHR2d6bERERF88MEHnDp1ir59++Li4kL37t1Zv359\njveFLuwqV66Mv78/hw4dYn0ONp01NzfHw8OD7du3888//2T7eIVCgVKpzNWaeUtLyxyPZCcnJ3Pt\n2rV8mWTfuXOHL774gp49e/LFF1+kt6ekpDBw4ECt5RMuLi4sWLAgr8MUIl+oVEmdaJ86pd7eS275\nQgjxfmkJ9sGDEBKiriQuRH4iSbaOPHr0KMMtHuzs7FCpVFp7AL/pzp07xMbGsnDhQlxcXPjmm29o\n2rQpAQEBrFu3Tp9hF2iurq64ubkxb948/v7772wfP2TIEGxtbd85lf9dlEolN27c4NatWzk6Pjdr\nsm/evElSUlK+qyyekpLC0KFDMTc356efftKIbfr06ezZs0fj/R999JFUEi9Crly5wsyZM+nevTud\nOnXCzc2NoKAgQ4dlcC1bwsaNsGkTfPWVoaMRomjKbfHaNIsWLaJt27bMnDlTD1EK0Eywg4Mhh6v2\nhNArSbJ1JDExMcO1saampumvZ+bly5c8f/6cESNGMGzYMFq1asWMGTNo0qQJO3bskOnj77B8+XIq\nV66Ml5fXOytZZyRtNPvf//53jhLlFi1aYGRklOMq47kZyc6vlcUXLVrE0aNH2bRpk8ZDp59//pnv\nv/9e4712dnbs3r2bkiVL5nWYwgDOnDnDuHHjePr0KUOGDGHcuHE0a9bsnUtpipL+/WHBApgzB+TZ\nqhB5LzfFa9NERUURFhaWoy1GRdYkJkKfPuoEe/duSbBF/pW/5pkWYGZmZlqFnABe/98iu3fdcM3M\nzEhMTKRt27Ya7W3btuXMmTNER0drFN7IiI+PD9bW1hptGe39VthYWFiwZcsWmjVrxuzZs5k/f362\njh86dCirVq1i+fLlWkng+5QsWRInJyfCw8MZkoOFQJaWlty5cyfbx4H6g9zGxoYKFSrk6Hh9ePLk\nCd999x2+vr60adMmvf3EiRMZVhLfuXMn1apVy+swdS4wMJDAwECNtoy2dCnKXrx4wfz582nevDlf\nf/21ocPJt6ZMgX/+UVcet7eHN0p8CCH0KDfFa9+0fPlyOnTokKMRcPF+r1+rE+wDByTBFvmfJNk6\nYmdnp1XMCUifJp7RVPI0pUuX5u7du5QqVUqj3cbGBpVKlaXRTj8/Pxo2bJjNqAuHhg0bMnfuXKZM\nmYJSqaRTp05ZPjZtNHvevHmMHz+eypUrZ+vczs7O+Pv7k5ycnO210ZaWljmeLp4fK4vb2Nhw5swZ\njWrtN2/epGfPnukPm9KsXr0aZ2fnPI5QPzJ6mBUREaFVMKcoO3jwIE+ePGHkyJEAvHr1CjMzs3y1\n1CE/UChg6VK4f1/9RXLPHvjsM0NHJUTh967itevWrePBgwfv3ckkLCyMmzdvMmfOHEmy9SAlBQYP\nhv37JcEWBYNMF9cRBwcH7ty5ozW1OzIyEoVCQfXq1TM9tkaNGgBaSfrDhw9RKBRSoTILJk2aRPv2\n7Zk6dSr37t3L1rFDhw7F2to6R2uzW7duTXx8PH/++We2j7WyssrVdPGaNWvmqyQboGbNmulLJNIq\nib89HdjHxyc92RJFQ0REBBYWFsTGxjJ06FA6d+6Mi4sLfn5+Wg9gijpjYwgMhLZtoXt3OHHC0BEJ\nUfjlpngtqJf9/fTTTwwePFhrwETknkoFHh7qIpFbt0KHDoaOSIj3kyRbR5RKJSkpKYSEhKS3JSUl\nERYWhqOjY/oT0MePH3Pr1i1SUlLS39emTRtUKhV79+5Nb1OpVISGhmJlZUXNmjXz7kIKKIVCwS+/\n/EKxYsWYMGGCxs/3fSwsLPDw8GDr1q3Znr5dr149bGxscrQuO6cj2UlJSVy/fp2aNWvm24Jhqamp\nDB48mAsXLmi0d+rUKdvT8kXBd+fOHZKTk/nXv/5F06ZNmT17Np07dyYkJISFCxcaOrx8x9RU/WWy\nSRPo3Fm9h7YQQn9yU7wWYOPGjZiZmdGnTx99hVikTZ8OP/2krlchVcRFQSFJto44OjqiVCpZu3Yt\n/v7+7NmzBx8fH2JiYjTWo65Zs4bhw4drjFq3bNmShg0bsnnzZhYvXkxwcDBTp07l77//ZtSoUflu\ni6b8qly5cmzYsIETJ06wevXqbB07bNgwSpYsme3RbCMjI1q1apWjrbzSkuzs7vOdVln8448/zrfT\nbWfMmMHu3bs12hwdHQkMDMy3DwaE/rx8+ZLXr1/TsWNHPD09admyJePGjaNr164cOXKEu3fvGjrE\nfMfcXD0lsk4daN8eTp82dERCFF65KV57+/Ztdu7ciYeHh3xf04MFC9R//Pxg+HBDRyNE1sndQIdm\nzJjB+vXrOXjwIPHx8VSrVo158+ZpFC1TKBQZJkbffvst69at4+jRo4SFhVG5cmVmzpypVQxNvFuX\nLl3w9PRk0aJFtGjRgk8++SRLx6WNZi9cuJDx48dTsWLFLJ9TqVQydepU4uLisjVNzNLSElAXhUr7\ne1ZERUUB+a+yeJpffvlFa99rW1tbQkJCtIrziaIhrfDj2/ezdu3aERISQmRkZLb+zxUVVlYQGqoe\nzf7sM/jPf6BVK0NHJUThk5vitStWrODjjz+mZcuWOT5/US1e+z5r18K0aTBrFnh7GzoaURjps3it\nJNk6ZGJigru7u1Yl5Tf5+vri6+ur1V68eHE8PT3x9PTUZ4hFwg8//EB4eDjjx49n3759WU5ghw0b\nxurVq1m+fHm2qpQ7OzuTmprKb7/9RteuXbN8nJWVFaBeu5ydJPvKlSvY2tpSrly5LB+TV06ePMmo\nUaM02oyNjdmxYwcODg4GikoYmp2dHf/880+GxR2B99YmKMpfQK2tISxMvT67Y0f1nrBSDE3klaKy\ne0JOi9dGRERw5swZZs+ezf3799PbU1JSSExM5P79+5QsWRILC4t3nr8oF6/NTGgojBkDY8eCbEoh\n9EWfxWslyRaFjpmZGYGBgTRu3Jgvv/wSPz+/LB1XokQJxowZw/fff4+Xl1eWR9YqVqxIjRo1CA8P\nz1GSnd112WmVxQ05Le3MmTO8fv2aFi1apLf9888/GVYSX7VqFa1bt87jCEV+UrNmTSIiInj48CGV\nKlVKb0/7Avu+4o5F/QuopaW60njv3uptvbZuVSfdQuhbUdk9wcHBgXPnzvHy5UuN4mfvK14bGxuL\nQqFg1qxZGu0KhYKHDx8yaNAgxo4dS+/evfUaf2Fz7hy4uqpn8Sxbpt55QYiCRtZki0Lp448/5vvv\nv2fbtm0EBQVl+bjhw4djaWnJihUrsnU+pVJJeHg4KpUqy8ekjV5nt8J4VFQUNWrUMFhl8WfPntGv\nXz+mTZuWfr3Pnz+nW7duxMbGarx3woQJWiPbIu/FxMRw4MABwsPDMxyt0beMijsC7NmzB2NjYxo0\naJDnMRU05uYQFARdu0KvXrBqlaEjEqLwyGnxWicnJ2bPns2cOXM0/lhbW1OrVi3mzJlD8+bNDXJN\nBdWdO+DiArVqqXdakDIuoqCSkWxRaHl6ehIWFsbMmTNxcnLigw8+eO8xJUqUwN3dncWLF+Pl5UWF\nChWydK7WrVuzdu1aoqOj07dke5+0JDs7I9mvX7/mxo0bDBkyxGAFxDw9PXn48CEHDx5EoVCQmprK\nkCFDOH/+vMb7OnTowKJFiwwSo/j/9u7dy+rVqzExMeHp06coFAqcnZ0ZN24ctra2eRJD9erV6dSp\nE6GhoSQnJ1O/fn3+/PNPjh8/zqBBg/IsjoLOzAy2bIFJk8DTE27dgu++g2LyuFwUIWvXruXatWuU\nKVOGjz76iMaNG+f6HvJm8dq4uDgqVqxIaGgoMTExTJ06Nf19a9asYf/+/QQGBmJvb0+ZMmUy3D97\nxYoV2NraSoKdTc+eqRNsExP17J0SJQwdkRA5VyQ/ms+dO6fV9vZevqLgUygUbNiwAQsLCyZMmEBy\ncnKWjhsxYgQWFhasXLkyy+f69NNPMTMzy9ZWXjlJsm/cuEFycrLBKotv3ryZgIAAVq1aRbVq1QD4\n17/+xa5duzTeV7t2bbZu3SqVVvOBqKgogoKC2LlzJ3v27OHbb79FoVAwbty4PB3VnjhxIsOGDePy\n5cusXLmS69ev4+npiZubW57FUBgYGcGSJbB4sbri7pAh8I7Cx0IUOnfu3KFSpUoMHz4cJycnTp06\nxQPmR8YAACAASURBVPr167l27Vqu+p0xYwa9e/fm4MGDrFixgtTU1CwXr31bft35Iz9LToa+feGf\nf9RFHvNh2RkhsqVIfAOOj4/n4cOHVK1aFVCP7Lw9PfH8+fPcvXsXV1dXjfU4omArXbo0v/zyC59/\n/jlLlixh8uTJ7z3G0tISd3d3/Pz88PT0zNJotrm5OU2aNCE8PJwvvvgiS7HlZLq4ISuL37hxAw8P\nDwYNGsTgwYMBCAgIYN68eRrvK1WqlFQSz0dKly6d/rDD3NycTz/9lE8//ZQLFy6wYcMGpkyZkidx\nGBkZMXToUIYOHZon5yvsfHygYkV1kn3zpnpfbflSKoqCr9+qgtW5c2cADhw4wP379zVqhWRHborX\nvu3XX3/NUQxF2bRpcPCgutDjRx8ZOhohcq9IjGSfO3cOd3d3unfvzvTp0/nf//7HxYsXNbZraNeu\nHa6urmzbts2AkQp9+Oyzz5g0aRLLly/n1KlTWTombTR7VTYWPiqVSk6ePPnO/TTfZGJiQvHixbM1\nkn3lyhXs7OwoW7Zslo/RheTkZAYNGoSdnV36CP+pU6e0HigYGxuzffv2TIvEiLynUqk01hmmqVu3\n7nsLjon8rW9fCA+H69ehUSP44w9DRyRE3sjoc7N9+/ZcvXrVANGI3Nq8GX74Qf2nXTtDRyOEbhSJ\nJLtVq1aEhITwzTff8NFHH3H37l1mzpyJi4sLnp6erFq1imPHjhEbG5te7VYULt999x1169bF29s7\nS9uPWFlZMXr0aDZv3sy9e/eydA6lUsmrV684ffp0luOytLTM9kh29erV87zo2Zw5czh9+jS//vor\n1tbW3Lp1ix49emg9UFi+fLns7Z7PDBo0iDNnzjBmzBi2bdvGzZs3AXj16lW2CvWJ/OnTT9XJdcWK\n6j20AwIMHZEQ+vXNN9/QrVs33Nzc2LZtW/pntEqlIi4uLsf9JiUl4e/vj6urKx07dmTs2LGcPXv2\nvcedP3+emTNn0q9fPzp06EDv3r3x9fXl4sWLOY6lKDl7Fr74AoYNg/HjDR2NELpTJJJsUG/r1KBB\nAwYPHkzjxo0JDg7G39+fDh06EBcXx+rVq/Hw8MjzEUKRN0xMTNiyZQuPHz9m2rRpWTrGzc0tW6PZ\njo6OlC1blmPHjmU5LktLSxISErL8/qioKGrWrJnna52tra2ZM2cOzZo1IyEhge7duxMTE6PxnnHj\nxjFmzJg8jUu8n5GREbNnz6ZHjx4cOnQINzc3unfvTt++fbGwsODWrVuGDlHkUsWK6hHtfv3U08e9\nveGtnfSEKDSqVq3K1q1b6d27N6dOnWLIkCF07dqVHj16ZHnrzYzMnz+fHTt20L59e7y8vDAyMmLa\ntGnvTZZv376NkZER3bp1w9vbm379+hEXF8eECRM4c+ZMjuMpCmJioEcPqFcPfvxRtuoShUuRWJP9\ntrT9VqtWrUrVqlXp1q2bgSMSeaFmzZosW7aMkSNHolQq6d+//zvfb2VlxahRo1i2bBmenp6Ue8+C\nx7SqzUePHmXmzJlZisnKyirLI9mJiYncvHkTNze3PE+yJ06cCJBeSfzt4oHt27fP8n7kwjA6duxI\nx44defr0KefOneP8+fMcPXqUDRs2ULp0adq0aSMPSQqw4sVhwwZwclJXHz95Ur2f9v+VIhEFVEoK\n/PYbvHqVveMaN4bCWrS/fPnynDlzhrZt2+Li4kJCQgK3b9/GxsbmvZ/Tmbl06RJHjhzBw8MDV1dX\nQP255ubmhr+/P8uXL8/0WBcXF1xcXDTaunfvzsCBA9mxYweNGzfOUUyFXVIS9OmjLni2c6f6HiZE\nYVIkk+yOHTvqpd+kpCTWr1/PwYMHiY+Pp1q1aowcORInJ6ds9bNo0SL27t1Ls2bNmDt3rl5iLapG\njBjBvn37+Oqrr2jSpEl6hezMuLm5sWbNGlatWsXs2bPf23/r1q3Zvn07sbGxWZoVYWlpmeU12dev\nXyclJYWPDFgR5KuvvtLad7xmzZpSSbwAsba2RqlUolQqAXXhvb/++ovbt28bODKRWwoFeHlBs2bq\nUe1PPoH169X7aouC6fhxaNMm+8e5u6tHBguj9u3bc/fuXY4cOULnzp0pUaIEtWvXzlWf4eHhGBkZ\n0aVLl/Q2U1NTOnfuzLp163jw4EGGW3VlxszMDBsbm2zVXClqZs6EU6fg6FH1bBwhCpsiM108L+R0\nqtGboqKiCAsLw8zMTI+RFl0KhYK1a9dSqlQpxo0bx+v3zKksWbIko0aNYvPmzVrTozPSqlUrgCxP\nGc/OSPaVK1cAw1QWBwgMDOTbb7/VaLOxsSEkJIRSpf4fe/ceFlW1/gH8OyCgCKIgYYKmgMqkluWl\n43WQMj3erbxrKagIhkapkHYzNYkyTC0EFe+iqKFhP0EtEK+nErUMxDALtVAExBt35vfHHOY4zgAD\n7GHPbL6f5+Ep923eNcO8zJq91rtaiBIT1Z2trS369euHiRMnih0KCaRHDyAlBRg0CHj1VeDNN4GC\nArGjotqoeN1+/FG1Lro+Pz17Sv/1dnZ2VlcVF8KVK1fg4uKitbpMRec9IyOj2ms8fPgQ+fn5yMzM\nxPr16/Hnn3+qR06SpoMHgc8+A1asAGpZDJ7I6LGTLZCKoUYzZ87ErFmzMGzYMKxcuRJOTk6IiIjQ\n+zpr1qzB4MGDWfXXgOzs7LBz505cvHgRoaGh1R7v7e0NKysrveZmt2zZEl27dtV7veya3MlOT0+H\no6MjWrZsqdfxQvrxxx8xffp0jW3m5ubYs2cPOnbsWO/xEFHV7OyAmBjgq6+AjRuB558HOD3UdDk7\nA23a6PfDYbc1l5OTAwcHB63tDg4OUCqVehXFXbJkCcaMGYNp06Zhz549GD58OKZOnWqIcE3aX38B\nr78OjBihmtpCJFXsZAukqqFGqampyM7OrvYaCQkJ+PPPP+Hj42PIUAlAv379sGjRIkRERFR719nO\nzg4zZszA9u3b9bqbrVAokJycjPLy8mqPrWknW4zK4tevX8eoUaO0KomvXr0aL730Ur3GQkT6k8kA\nf3/VXW0bG9Uw8g8/VM2FJKL/KSoq0vm31dLSUr2/OrNmzcJnn32GhQsXonPnzigtLUVpaangsZqy\n4mLVVJZmzYDNm1nojKSNnWyB1HWoUUFBAdavX48pU6Zw6G09+fDDD/HCCy8gMDCw2m+pfXx8YGlp\nifDw8Gqvq1AocPv2baSmplZ7rK2tbY062fVRWbysrEz9/xWVxLOysjSO8ff3h7+/v0HjICJhyOWq\nQmjvvw8sX65a9uu338SOish4WFlZoUTHt08VU8r0mcLn5uaG7t27Y8iQIfjss8+QlpaGTz/9VK/H\nDwwMxMiRIzV+oqOja9YIE/Duu6ov/Xbvlm5hPjIt0dHRWu+9wMBAQa7NTrZA6jrUaMuWLbCyssJr\nr71mqBDpMebm5oiOjsbDhw+xYMGCKu88V9zN3rZtG27dulXldXv06AFra2u9hozru052YWEh/vrr\nL3Tq1MmgneykpCQ8++yz+Oeff1BeXo5p06YhJSVF45gXX3wRq1atMlgMRCQ8CwvVXewzZ1TzdZ97\nTvVvPW7QEUmeg4ODzs9pFdt0fb6rSqNGjdCnTx8cP3682tovABAWFoZvv/1W40dqdTIOHwa++AII\nCQFeeEHsaIhUJk6cqPXeE2q1HHayBVKXoUbXrl3DN998Az8/P1ZormdPPfUUwsPDkZCQgG3btlV5\nrI+PDywsLKq9m21paYk+ffogKSmp2sfX9072lStXUF5eji5dulR7bG3l5uZiypQpeOKJJ+Dk5IQl\nS5Zg7969Gsd06NABe/bsqfch6yQ927dvh5eXF6fH1LOKomjBwaqiQ88+C+hZp5FIstzc3HD9+nUU\nPFYxLjU1FTKZDO7u7jW+ZsXnvsev2RDl5ADTpgEvvQS89ZbY0RDVD3ayBVKXoUZr165Fly5d0K9f\nv1o/fkMZamQIkyZNwtSpU7F06VKkpaVVelzz5s3h4+ODrVu3VjvH3tPTEz/99BMePnxY5XFNmzZF\nUVFRtd90V1QW79q1a5XH1ZZSqcTMmTNRUFCArVu3Ys+ePVpLlrGSuG6GHGokVdnZ2dixY4fW9Bqq\nH40bAx9/DJw7pxqyqVAAs2YBeXliR0YkDoVCgbKyMsTFxam3lZSUICEhAXK5XL18V25uLjIzMzWm\nVd25c0frevfv30dycjKeeOIJ2NnZGb4BRkypBGbPVq31vnkzYMaeBzUQvG0qEAcHB9y+fVtre3VD\njVJSUvDTTz/h448/1pj3WlZWhqKiImRlZaFZs2awtrau8vHDwsK4VEQdfP311zh58iTmzp2LuLg4\nNK6kPOuMGTOwceNGrFu3Du+//36l1xswYABKSkpw6tSpKouD2draAlD9QbavYoJSeno6nJycDFZZ\nfOPGjfjmm2/wzTff4J9//sG0adM09pubmyMmJgadOnUyyOObsokTJ2oN60tJSUH37t1Fisj4hYeH\no3PnzigrK8Pdu3fFDqfB6twZOHECiIgAgoKA/fuBTz4Bpk8HzM3Fjo6o/sjlcigUCmzYsAF5eXlw\ndnZGfHw8bt68iYULF6qPi4yMxOHDhxEdHQ0nJycAQFBQEBwdHSGXy9G8eXPcvHkTCQkJyMnJwYcf\nfihWk4zGtm3A3r2q1Q64HjY1JPw+SSC1HWp069YtyGQyfPDBB5g0aZL6JycnBykpKZg8eTIOHTpU\nH01o0GxsbBAdHY3ff/8dy5cvr/S4Fi1awNvbG5s3b9b5pUoFV1dXtGnTptp52TY2NgBQ7ZDxisri\nhphOcOnSJcybNw+zZs1Cr169MGrUKBQWFmocs2rVKgwaNEjwx6aG58KFCzh+/DjmzJkjdigE1V0l\nPz/g0iVg8GBg5kzVfMnTp8WOjKh+LVq0CK+++iqOHj2KtWvXory8HCtWrNAYQSaTySB7rCT20KFD\nce/ePezbtw9ffvklDh48iI4dO2LVqlXo379/fTfDqFy9Crz5pmrJrrFjxY6GqH7xTrZAFAoFYmJi\nEBcXh3HjxgGofKjR/fv34ezsDHNzc3Tv3l1rWC4A9RrbU6dORfv27eu1LQ1Vr1698NFHH2Hx4sVQ\nKBSV3oGeOXOm+m72e++9p/MYmUyGAQMGVNvJrriTXV3xs/T0dHh5eQneyS4qKsKkSZPQpk0bLFu2\nDP/+97/xzz//aBwze/ZsdohIEOXl5VizZg2GDRvGvGZkWrdW3XGaPRuYOxfo0weYOhX49FPgySfF\njo7I8CwsLODr6wtfX99KjwkKCkJQUJDGtlGjRmHUqFGGDs/klJerRsXY2wOrV4sdDVH9YydbILUd\nauTo6KjugD9q7dq1sLe3R58+feqzGQ1ecHAwjhw5gvnz5yMhIUE9HOxRFXez169fDz8/v0qnAnh6\nemLHjh24fv06XFxcdB6jz53sgoICZGZmGqSy+Lp163Dx4kWcOXMGb775Js6ePaux38vLC6tXr9b6\n5p6oNg4cOIBbt27B29tb7FCoEn37Aj/+CERFAYsWAd98A8yfD7zzDvDf7wSJJKmkpARRUVE4evQo\n7t27B1dXV/j4+FQ79SclJQVHjx7FxYsXkZ2dDXt7ezz33HPw9vauchqY1EVGAseOAd9/DzTwaenU\nQHG4uIBqO9RIF3ZqxGFmZoYdO3agrKwMb7/9dqXLes2cORNmZmZYt25dpdfq27cvzM3Nq7ybrU8n\n+8qVK1AqlQapLO7v74/ExETExcUhJiZGY5+7uzsriZNg7t69i82bN+P1119Hs2bNxA6HqmBurho2\nfvky4O+vWnLH3R346itAj9WIiExSSEgI9u3bh0GDBiEgIADm5uYIDg7GxYsXqzwvMjISFy5cQP/+\n/REQEAAvLy8kJSVh1qxZyGug1QSvXQMWLgRmzAC8vMSOhkgcvJMtoNoONdJl586dQoZGNdC6dWts\n2LABr7zyCtavX6/z9bS3t8f06dMRFRUFPz8/nd9W29nZ4bnnnkNSUhImT56s87EeLXxWmfT0dAAw\nSCfbwsICf//9Nz766CON7XZ2doiLi2vQ38KTsDZu3Ag7OzuMGTOmxucGBgZqVejVVXCOhNWiBRAa\nCgQEqNbUDggAwsKA5ctV8ytZJVj6oqOjtVYqyc/PFykaw0lLS0NiYiL8/Pww9r+ThwcNGgRvb29E\nRERgzZo1lZ47Z84crZU/evbsibfeeguxsbENbuSOUqmq82BrC3z2mdjREImHfyKJdBgzZgxmzZqF\nTz/9FL/88ovOY3x9fSGTyRAREVHpdRQKBU6ePInS0lKd+62trSGTyaqck3358mW0atWq0mHpdXH2\n7Fm88cYbGtvMzMwQExMDDw8PwR+PGqYbN27g4MGDGDNmDLKzs5GVlYWsrCwUFxejtLQUWVlZVb4H\nwsLC8O2332r8sINdf9q0UQ0f/+UXQC4HJkwAevUCDh5UfaAm6Zo4caLWey8sLEzssAR37NgxmJub\nY/jw4eptlpaWGDp0KFJTU6tctlPX0prPPPMMbG1tkZmZaZB4jdnOncB33wHh4UDz5mJHQyQedrKJ\nKrFq1Sq0b98eAQEBePDggdb+R+9m5+bm6ryGQqFAfn4+zp8/r3O/TCaDra1tlXeyL126ZJDK4n//\n/TdGjhypVRE/LCwML7/8sqCPRQ1bxQfUtWvXaqyikJaWhmvXrmHy5MnYunWryFFSdbp0AeLiVPMs\nra2BESOAnj1V29jZJlN25coVuLi4oEmTJhrbK75szsjIqNH1CgoKUFBQ0ODWyL51C5g3T/VF3MiR\nYkdDJC52sokq0aRJE+zatQvXrl3DkiVLdB5TMZS8srvZ3bp1g52dHZKTkyt9nKZNm1Z7J7tTp06C\nzo0uKCjA6NGj8ffff2tsnzVrFgICAgR7HCIAaN++PT7++GN8/PHHWLp0qfqnXbt2cHJywtKlSzF0\n6FCxwyQ9DRig6mj/8IOqsz1yJNCjBzvbZLpycnJ0jhZzcHCAUqlETk5Oja63d+9elJWVYeDAgUKF\naBIWLlTlgC+/FDsSIvGxk01UhWeffRYrVqzAjh078N1332ntr7ibvWnTJp13s83NzdGvXz8kJSVV\n+hhV3ckuKCjAtWvX0KlTJ5ibm9e6HY9SKpXw9vbGTz/9pLHd09MTa9euZdE9EpydnR369u2r9WNn\nZwdra2v06dOHS3qZGJkMGDjwf51tG5v/dbb37AHKysSOkEh/RUVFOr/ItrS0VO/X14ULF7B161Z4\nenqiW7dugsVo7E6cALZsAVasAJ54QuxoiMTHTjZRNd566y0MHjwYQUFBuHHjhtZ+X19flJeXIzIy\nUuf5np6eOHfuHO7cuaNzv42NTaWd7N9//12wyuJxcXEoLi7GsmXLsGvXLo19bm5u2Lt3LyuJE1GN\nPNrZTkxULdUzbhzQqROwbh3w2GwUIqNkZWWFkpISre3F/y2nb2Vlpdd1MjMz8cEHH8DV1RXz58/X\n+/EDAwMxcuRIjZ/HC84Zs9JSYM4cVa2GGTPEjoZIf9HR0VrvvcDAQEGuzeriRNWQyWTYunUrunbt\ninnz5mH37t0ad5UdHBwwbdo0bNq0Cb6+vmjRooXG+QqFAuXl5Th58iSGDRumdX1bW9tKh4tXVBbX\nVVilJg4dOoSRI0ciICBAq0pqs2bNEBcXZ5DCakRVkWIBpYbM01P189NPqqrk/v6qquRz56r+/7HU\nSGQ0HBwccPv2ba3tFcPE9fn7eOvWLSxYsAC2trZYsWKF1vzuqoSFheH555/XP2Aj89VXwK+/Aj/+\nyFUHyLToWqkkJSUF3bt3r/O1+VYg0sMTTzyBLVu24PTp01i7dq3W/tmzZ6OsrAzr16/X2ufs7Ax3\nd/dK18tu2rRppXeyL1++jNatW6N5HUp03rx5E9OmTUPfvn214jMzM8Pu3bshl8trfX0iokf17Kka\nMn75MjBmDLB0qapC+VtvAVeuiB0dkTY3Nzdcv35dqxBoamoqZDIZ3N3dqzz/7t27WLBgAcrKyhAa\nGtqglr/85x/g/fcBX1/VdBEiUmEnm0hPQ4YMwbx58xAWFoaff/5ZY1/Lli3xxhtvYOPGjcjLy9M6\nV6FQ4NixY1DqqApU1ZzsulYWVyqVmD59OsrLy3HlyhUUFhZq7F+5ciWGDBlSq2sTEVXF3V01ZPyv\nv1QVh7dtAzp0UFUlP3KERdLIeCgUCpSVlSEuLk69raSkBAkJCZDL5XB0dAQA5ObmIjMzE2WPFB0o\nLCxEUFAQcnJyEBISgtatW9d7/GJauBCwsgKWLxc7EiLjwk42UQ2EhoZCLpdj3rx5WkO8Z8+ejdLS\nUmzYsEHrPIVCgevXr+OKjts4Vc3Jvnz5Mjp27FjrudJr1qzBoUOHYG9vj6ysLI19M2bMwLx582p1\nXSIifTk5qT6AX78OrF8PZGYCL78MdO6s6oTrWCGRqF7J5XIoFAps2LABEREROHjwIAIDA3Hz5k31\nKiIAEBkZiWnTpmkMLV+2bBnS09Ph6emJq1ev4siRI+qfEydOiNGcevPjj8D27ar3dwO6eU+kF87J\nFlBJSQmioqJw9OhR3Lt3D66urvDx8al2XH9KSgqOHj2KixcvIjs7G/b29njuuefg7e3doIYcmQJL\nS0vs2rUL3bt3x+LFi7F69Wr1PkdHR/Xd7JkzZ2oM8e7duzcsLS2RnJysNeyssjnZDx48wPXr1+Hh\n4VGryuK//PILFixYgI4dO+Ly5csa+xQKBb766itWEieietOkCeDjA3h7A8ePA6tXq4olBQerts+e\nrbrTTSSGRYsWaX2GW7FihUZNFJlMpvV388qVK5DJZDh06BAOHTqksc/JyQn9+vWrl/jrm1IJvPMO\n0KWL6v1LRJrYyRZQSEgIjh8/jtdeew3Ozs6Ij49HcHAwwsLCqqwOHRkZiXv37sHT0xPOzs74559/\nEBsbizNnzmD9+vVahbRIXHK5HF988QX8/PygUCjw6quvqvf5+flhy5Yt2LBhg0ZlUWtra/Ts2RNJ\nSUnw9vbWuF5lw8V///13AKhVZfGCggJMnDgR9vb2Wh1sV1dX7N27V700CRFRfZLJVGttDxigGkoe\nHq66w/3FF6pK5bNmqeZy61nQmUgQFhYW8PX11bhz/bigoCAEBQVpbDOlKuBCio1VLduVkAAItMIo\nkaRwuLhA0tLSkJiYiJkzZ2LWrFkYNmwYVq5cCScnJ0RERFR57pw5c7Bjxw7MnDkTQ4cOhY+PDz75\n5BPk5uYiNja2nlpANeHr64tRo0bhvffew19//aXe7ujoiKlTp2Ljxo3Iz8/XOMfT0xOnTp3SWm+z\novDZ4/O1KyqL16aTnZ2djZKSEq0h4ra2tvj222/RsmXLGl+TiEhoTz0FhIQAN24AO3ao1teeOBFw\ndgbmzwf+mwaJyIgUF6vmYg8Zopr6QUTa2MkWyLFjx2Bubo7hw4ert1laWmLo0KFITU1FdnZ2pefq\nWp7pmWeega2tLTIzMw0SL9WNTCZDVFQUbG1tERAQgNLSUvU+f39/FBcXY+PGjRrnDBgwAAUFBVpF\n02xtbVFeXq5V1fTy5ctwdnaGnZ1djePLycnB9evXNbaZmZlh165d6Ny5c42vR0RkSI0bA5Mmqdbb\nTksD3ngD2LQJ8PBQLQu2cyfX3CbDKikpQUREBMaOHYshQ4bA398fZ8+erfa83NxcREZG4u2338aw\nYcPg5eWFCxcu1EPE4vnqK+DqVeDzz8WOhMh4cbi4QK5cuQIXFxetdRE9PDwAABkZGerqlPooKChA\nQUFBrTpYVD/s7e2xbds2vPTSS1i5cqV6CNkTTzyBKVOmYP369fDx8VG/hk8//TQcHR1x7Ngx9O3b\nV30dGxsbAMC9e/dgbW2t3p6eno4OHTrUuOhZVlYWRo4cqdVp/+yzzzB06NBatZWIqL54eAArV6qK\nKcXGAhERwOTJgJ2dqiM+eTJQgz+nJu2x70rJgGo75S8zMxO7d++Gs7MzXF1dkZqaWo9R17+8PNWy\nfDNnqooXEpFu7GQLJCcnBw4ODlrbHRwcoFQqkZOTU6Pr7d27F2VlZRg4cKBQIZIBDBw4EAsXLsRn\nn32Gfv36qTvP/v7+2L59O6KiohAYGAhAdSe5f//+OHbsGBYtWqS+hq2tLQBVJ9vJyUm9PT09HcOH\nD6/R8l2FhYUYPXq01l1sb29vdRxERKagcWPV0PGJE1Vrbm/eDGzZoprD3ZDIZKrnggynYsqfn58f\nxo4dCwAYNGgQvL29ERERgTVr1lR6bqdOnXDgwAHY2Njg2LFj+Pjjj+srbFF8/jlQVAR89JHYkRAZ\nN3ayBVJUVKTzjmNFcanH5+FW5cKFC9i6dSs8PT3RrVs3wWIkw1i6dCm+//57BAYGIiEhAS1atICT\nkxMmT56svpvdrFkzAKp52d988w2ys7PVIxsq7mQ/Wvzs/v37+Pvvv2tUWVypVGLGjBn4z3/+o7G9\nf//+CA8PZyVxEk16ejri4+Nx/vx5ZGVlwc7ODnK5HD4+PnBxcRE7PDIBHTsCn3yiuoN29qzqQ35D\nYW/P5ZEMraopfxs3btT4m/24x0cwStmtW8CXXwJz5wKtWokdDZFxYydbIFZWVigpKdHaXlxcrN6v\nj8zMTHzwwQdwdXXVqE5dncDAQK2h5RMnTsTEiRP1vgbVTqNGjRAdHY1u3bohKCgIkZGRAP53N3vj\nxo3qu8gDBgwAABw/fhyvvPIKAM3h4hUqKoLrmq9fmZCQEOzYsUNjW7t27bBv3z5WEjeg6Ohoreqy\njxe9a+iio6Px22+/QaFQwNXVVV3UcdasWfj666/Rrl07sUMkE2FuDvTqJXYUJDVCT/mTqpAQ1Xtw\nwQKxIyEyfuxkC8TBwQG3b9/W2l4xTFzXUPLH3bp1CwsWLICtrS1WrFhRo29Hw8LC8Pzzz+sfMAnK\nzc0NX331Fd544w3s2LEDkydPRqtWrTB58mRs2LABM2bMgK2tLRwdHdG5c2ckJSWpO9kVw8UfYuah\nQAAAIABJREFUPHigvt7ly5chk8nw9NNPV/vYSqUSBw4c0BiCDqg673FxcfxgYGC6vsxKSUlB9+7d\nRYrI+IwbNw6dOnXSGJUxcOBAeHt7Y+fOnVq/u0RE9UnoKX9SdP068PXXwKJFHFlBpA9WFxeIm5sb\nrl+/rlVsKjU1FTKZDO7u7lWef/fuXSxYsABlZWUIDQ2FPTOYyXn99dcxYcIELFmyRL3Gtb+/PwoK\nChAVFaU+ztPTE8nJyeolu5o2bQpA8052eno6XFxc1MPMqzJhwgSMHz9eY5tMJkN0dHStlv8iEtrT\nTz+tNe3B2dkZ7dq14woKRCQ6Iaf8SdWyZYCNDfDWW2JHQmQaeCdbIAqFAjExMYiLi8O4ceMAqJaD\nSEhIgFwuV99NzM3Nxf379+Hs7Kz+0FlYWIigoCDk5ORg1apVaN26tWjtoLqJiIjA6dOnMXfuXOzf\nvx9PPvkkJk2ahMjISHh7e8PW1hYDBgzAV199hdTUVHTu3BlWVlawsrLSmJOtb2XxqKgoxMTEaG0P\nDQ3VmFtGZIzy8vLQvn17scMgogZOqCl/tWXsU/7++APYuBFYsQLQ47t/IpNhyCl/7GQLRC6XQ6FQ\nYMOGDcjLy1Mv/3Dz5k0sXLhQfVxkZCQOHz6M6OhodSXpZcuWIT09HUOHDsXVq1dx9epV9fFNmjRB\nv3796r09VDvNmjXDzp07MWDAAISEhODDDz+Ev78/duzYgU2bNmHu3Lno2bMnmjRpguTkZPWa1U2b\nNtW6kz169OgqK4tnZGRg1qxZWtunT5+Od955R/jGEQnoyJEjuH37Nry9vcUOhYgaOCGm/NWFsU/5\nCwkBHBwAf3+xIyESliGn/LGTLaBFixYhKioKR48exb179+Dq6ooVK1ZoFK+SyWRaVZ6vXLkCmUyG\nQ4cO4dChQxr7nJyc2Mk2MX369MH777+PJUuWQKFQwNPTE5MmTUJERAS8vb1hY2OD3r17IykpCX5+\nfgBU87Ir5mTfvXsXWVlZVVYWLy0tRb9+/VBWVqaxvV+/fqwkTkYvMzMTX375Jbp06YLBgweLHQ4R\nNXBubm44f/48CgoKNOrh6DvlT8quX1ctn7d8OWBtLXY0RKaDnWwBWVhYwNfXF76+vpUeExQUhKCg\nII1tjw9TINP33nvv4ejRo3j77bdx+PBhzJkzBzt37sSmTZsQEBAAT09PLFu2DA8fPoS1tTVsbGzU\nd7L1qSw+YsQI3Lx5U2PbU089hX379hl8WBtRXeTm5uLdd9+Fra0tPvroI72+EDL2oZREUtVQVk+o\ny5Q/qVu5UjUXe/ZssSMhMi3sZBMZgLm5OXbu3IlnnnkG77zzDjZt2oQJEyao72YrFAp88MEHOHPm\nDLy8vGBra6vRyTYzM6u0svjKlSsRHx+vsa2ikvgTTzxh8LYR1daDBw8QFBSEBw8eYPXq1XoXeDT2\noZREUtVQVk+oy5Q/ANi2bRtkMhmuXr0KpVKJw4cP49dffwUATJkypd7bI5TsbCAiAli4EPjvQihE\npCd2sokMpE2bNoiIiMD48eOxadMmvPnmm4iOjsbmzZvh7+8PZ2dnJCUlwcvLCzY2NurCZ+np6WjT\npo16aa9HnTt3DgseW6BSJpNh586dNVpTm6i+FRcXY9GiRbhx4wZWrlyJtm3bih0SEZFabaf8AcCm\nTZvU22UymcYX4abcyV61CjAzAwICxI6EyPSwk01kQOPGjUN8fDw++eQT9O7dGxMmTEB4eDimTZum\nXsoLUN2Jrhj+nZ6eDnd3d62iZ7du3cLo0aPVS39VCAkJwYgRI+qnQUS1UF5ejiVLliAtLQ3Lli2D\nXC4XOyQiIg21nfIHAD/88IMhQxNFfj6wdq1qmLiB674RSRI72UQGtmbNGpw4cQIBAQGIjIzErl27\nsGXLFgwYMAA7duzAjRs3YGNjgz/++AOAarj4q6++qtHJLioqwiuvvKK1pvDrr7+udWebyNh8/fXX\nOH36NPr06YP8/HwcOXJEY/+gQYNEioyISKWkpETrTraPj49eQ+Pv37+PdevW4eTJkygsLIRcLoef\nnx86dOhQD5EbRng4UFgIcLESotphJ5vIwJo2bYqdO3eib9++2LhxI8aPH4/w8HAcPnwYZmZmSE5O\nVs/Jzs/Px82bNzUqiyuVSvj6+uLkyZMa1+3Tpw8iIyNZSZyMXsUKCqdPn8bp06e19rOTTURiCwkJ\nwfHjx/Haa6+p52QHBwcjLCwMXbp0qfQ8pVKJ4OBgXL16FRMmTECzZs1w4MABBAYGIiIiAs7OzvXY\nCmEUFwNr1gBTpwJPPil2NESmiZ1sonrQo0cPLF26FEFBQQgNDcXu3buxf/9+dOvWDUlJSZDL5bh/\n/766svijf9A///xzbNmyReN6bdu2RWxsLCuJk0kICwsTOwQiokqlpaUhMTERfn5+GDt2LADVl3/e\n3t6IiIjAmjVrKj03KSkJqampWLJkCfr37w8A8PT0xNSpU7F582YsXry4XtogpD17gL//Bt56S+xI\niEyXmdgBEDUU8+fPx4svvohPP/0Uw4cPR3h4OPr27YsTJ07A2toa9+7dQ3p6OszNzdWVxePi4rTm\nfzVt2pSVxImIiARy7NgxmJubY/jw4eptlpaWGDp0KFJTU5GdnV3pucnJybC3t1d3sAHAzs4Onp6e\nOHnyJEpLSw0au9CUSiAsDBg0CKjiBj4RVYOdbKJ6YmZmpl7m4/r168jPz8e9e/dw584d3LlzB4WF\nhbh06RLatm0LGxsb/Prrr5g0aZJGoTOZTIYdO3bgmWeeEbElRERE0nHlyhW4uLigSZMmGts9PDwA\nABkZGZWem5GRoXPutYeHB4qKinDt2jVhgzWwEyeAs2eBwECxIyEybRwuLiAWzaDqPPnkk9i4cSNG\njRqFbt26IS4uDra2trh69SoAIDU1Fe7u7sjLy8Pw4cPVy3pV+OSTTzBq1CgxQiciIpKknJwcOOgo\noe3g4AClUomcnJwqz3322Wd1nluxv3379sIFa2BhYYCHBzB4sNiREJk2drIFxKIZpI+RI0fC398f\n69evR3l5OTp27IhLly4BAH7//XeMHz8eEydO1KokPnXqVJ1LhxARET0qNxc4f94w105PN8x1xVRU\nVAQLCwut7ZaWlur9tTlXqVRWeW6F9HTVetRiy8kB9u9XVRY3hniIKvPrr0CzZoa5tlA5jp1sgbBo\nhmFFR0dj4sSJYochmJUrV+LYsWPIzMzEtWvX8PDhQwBAbm4uzp07hzNnzmgc/69//UsylcSl9lqS\nOKT6eyTVdgFsW32xsQEOHlT9CCMagHG0zVCsrKxQUlKitb24uFi9vzbnymQyvQqUTpr0+BbxnnNH\nR1VVcUMxpveK0KTaNmNql42N6r8KhVBXNNx7jZ1sgVRVNGPjxo3Izs6Go6OjznOrKppx9OhRlJaW\naqyZ3BAZ0xtcCI0bN8auXbvQvXt39R/xCo93sNu0aYP9+/ejcePG9RmiwUjttSRxSPX3SKrtAti2\n+rJjB3DlinDXe/vtaHzxxf/adumSYTthYnBwcMDt27e1tlcME9c1lPzRc3UNJ9fn3ArPPRcIGxs7\n9b9/++1HvP02MHhw/f9OtW4NWFsb7vrG9F4RmlTbZkztGjQI+OUXQI8BInqZMuVzPPFEtMa2+/fz\nce5c3a/dsHtuAtKnaEZlneyqimZ89913uHbtmknN5yH9dOnSBStXrkRAQABkMplGgbMK1tbW+Pbb\nb+Hk5CRChEREZGpatAB69BDues2ba15PisOI3dzccP78eRQUFGh8jktNTYVMJoO7u3uV5168eFFr\ne2pqKqysrNCmTZtqH3/DhjA8//zz6n+PHDkSixcbR6eGyJjIZEDXrsJdr2NHZ3z77bca21JSUvSq\np1UdCaZKcdS1aEZl51bsJ2maM2cOPD09dXawAWD79u3o1q1bPUdFRETUcCgUCpSVlSEuLk69raSk\nBAkJCZDL5eqbJLm5ucjMzERZWZnGuXl5eUhOTlZvy8/PR3JyMvr06dPgRyISNVR85wtE7KIZZJpk\nMhnCw8Mhl8u19i1fvhxjxowRISoiIqKGQy6XQ6FQYMOGDcjLy1MXr7158yYWLlyoPi4yMhKHDx9G\ndHS0eoSZQqHAvn37EBoaij///BN2dnY4cOAAysvLMW3aNJFaRERiYydbIGIVzai4flpaWk1DFszD\nhw/x4MEDgz7GrVu3kJCQYNDHEENpaSneffddre0DBw5E9+7d69TmRo0aoXnz5kZXLC0/Px8pKSli\nh2FQFe/Hx+fbU81Uld+k+nsk1XYBbJuperxtUs1vixYt0lqGdcWKFej6yNhUmUym9TfVzMwMISEh\nWLduHWJjY1FUVAQPDw+8++67cHFxqfIxK8txDen3SUqk2japtgvQ3Tahchw72QIRq2hGVlYWAGDK\nlCk1itcUDRkyROwQ6k1iYiISExPFDsNghJjrYgqysrKqXL6PqlZdfpPq75FU2wWwbaZKV9uklt8s\nLCzg6+sLX1/fSo8JCgrSuZSmjY0N5s+fj/nz59foMavKcQ3t90kqpNo2qbYLqLxtdc1x7GQLRKyi\nGT169MDixYvRqlUr9dB0IhJXcXExsrKy0EPI6kMNEPMbkfFhfhMOcxyR8REqx7GTLRCFQoGYmBjE\nxcVh3LhxACovmnH//n04OzvD3Nxcfe7x48eRnJyMAQMGANC/aEbz5s3x0ksvGbh1RFRTUrrDIxbm\nNyLjxPwmDOY4IuMkRI5jJ1sgLJpBRERERERE7GQLSIyiGURERERERGQ8ZImJiboX6CUiIiIiIiKi\nGjETOwAiIiIiIiIiqeBwcROSm5uLvXv34tKlS0hPT0dBQQHCwsLw7LPP6n2N27dvY+3atTh79iyU\nSiW6deuGOXPm4MknnzRg5DV3//59rFu3DidPnkRhYSHkcjn8/PzQoUOHas/dsmULtmzZorXd0tIS\n8fHxhgi3SiUlJVrTCHx8fPRaDqEuz0N9qm0b4+PjERoaqrVdJpNh7969aNGihaFCrrGCggLs2rUL\nly5dwqVLl3Dv3j0EBQVh8ODBep1vKq+lsZF63jP1XCfl/CbVvMZcZlyknONMPb8B0s1xUs1vgPHk\nOHayTUhmZiZ2794NZ2dnuLq6IjU1tUbnFxQUIDAwEA8fPsTUqVNhZmaGvXv3IjAwEOvXr4etra2B\nIq8ZpVKJ4OBgXL16FRMmTECzZs1w4MABBAYGIiIiAs7OztVeQyaTITAwEI0bN1ZvMzMTZ+BGSEgI\njh8/jtdee01dEC84OBhhYWFVVi8U4nmoL7VtI6B6raZPn45WrVppbLexsTFkyDWWn5+Pbdu2wcnJ\nCW5ubrhw4YLe55rSa2lspJz3pJDrpJzfpJrXmMuMi1RznBTyGyDdHCfV/AYYT45jJ9uEdOrUCQcO\nHICNjQ2OHTuGjz/+uEbn79+/H3///TfCw8PRsWNHAECvXr3g7e2NmJgY+Pj4GCLsGktKSkJqaiqW\nLFmC/v37AwA8PT0xdepUbN68GYsXL9brOgMGDECzZs0MGWq10tLSkJiYCD8/P4wdOxYAMGjQIHh7\neyMiIgJr1qyp9FyhngdDq0sbK/Tq1Uv9O2msWrZsiX379qFFixZIT0+Hn5+f3ueaymtpjKSc90w9\n10k5v0k5rzGXGRep5jhTz2+AdHOclPMbYDw5jnOyTUiTJk3q9C1RcnIyOnXqpPGmaNu2LZ5//nkk\nJSUJEKEwkpOTYW9vr/7lBgA7Ozt4enri5MmTKC0t1es6SqUSDx8+NFSYejl27BjMzc0xfPhw9TZL\nS0sMHToUqampyM7OrvRcoZ4HQ6tLGx9VUFCA8vJyQ4VZZ40aNar1MChTeS2NkZTznqnnOinnNynn\nNeYy4yLVHGfq+Q2Qbo6Tcn4DjCfHsZPdQCiVSvzxxx/o1KmT1j4PDw/8/fffKCgoECEybRkZGTrn\nPXh4eKCoqAjXrl2r9hpKpRKTJk3C8OHDMXToUHzyySfIy8szRLhVunLlClxcXNCkSRON7R4eHgBU\nba2MEM9DfahLGwHVaxUYGIhhw4ZhyJAhWLx4MW7cuGGweMVgKq+l1Bh73jP1XCfl/Ma8ppuxv24N\njTHnOFPPb4B0cxzzW+WEfN04XLyBuHv3LkpKSuDg4KC1r2JbTk6OUazLnZOTo7Pgx6Nxtm/fvtLz\nbWxsMGbMGHTu3BkWFhb45ZdfsH//fly6dAkRERFaScWQcnJyKn3OlUolcnJyqjy3Ls9DfalLGxs3\nbowhQ4bgueeeg7W1NS5fvoyYmBgEBAQgIiICjo6Ohgy93pjKayk1xp73TD3XSTm/Ma/pZuyvW0Nj\nzDnO1PNbRYxSzHHMb5UT8nVjJ1skSqUSJSUleh1raWlZ58crLi4GAFhYWFR6/aKiojo/zuNq086i\noqJK41QqldXG+eqrr2r8u3///vDw8MDy5cuxf/9+TJw4Uc/o666qtlTsr825+jwP9aUubfT09ISn\np6f633379kWPHj3w1ltvYfv27QgMDBQ8XjGYymtpaFLOew0x10k5vzGv6Wbsr5vYpJrjGmJ+A6Sb\n45jfKifk68ZOtkguXLiAt99+u9rjZDIZNm/ejDZt2tTp8SreOLqSZEWStrKyqtNj6FKbdlpZWVUa\np0wmq1WcL774IsLDw5GSklKvneyq2lKxvzbn1vZ5MIS6tFGXrl27Qi6XIyUlRZD4jIGpvJaGJuW8\n1xBznZTzG/Oabsb+uolNqjmuIeY3QLo5jvmtckK+buxki6Rt27YICgrS61hdQzpqqlmzZrCwsNA5\nBKRimxCP87jatNPBwcEgcTo6OuLu3bu1Ore2HBwccPv2ba3t+rTFUM+D0OrSxso4OjpKam6fqbyW\nhiblvNcQc52U8xvzmm7G/rqJTao5riHmN0C6OY75rXJCvm7sZIvE3t5e70XRhSCTyeDq6or09HSt\nfWlpaXjyyScNMr+lNu10c3PDxYsXtbanpqbCysqq1t/83rx5s8YLydeVm5sbzp8/j4KCAo3nNzU1\nFTKZDO7u7lWea4jnQWh1aWNl/vnnHzRv3lzIMEVlKq+loUk57zXEXCfl/Ma8ppuxv25ik2qOa4j5\nDZBujmN+q5yQrxuri0vUrVu3kJmZqbFtwIABSE9Px+XLl9XbMjMzce7cOY35FWJTKBTIy8tDcnKy\nelt+fj6Sk5PRp08fNGr0v++GdLUzPz9f65r79+/HnTt30KtXL8MFroNCoUBZWRni4uLU20pKSpCQ\nkAC5XK4uEJGbm4vMzEyUlZVpnKvv8yCmurRR12t15swZXL58ud5fK6GY8mtp6kwt75l6rpNyfmNe\nM83XTepMKceZen4DpJvjmN9UDP26MRuamG3btkEmk+Hq1atQKpU4fPgwfv31VwDAlClT1Md98skn\n+OWXX/DDDz+ot40ePRrfffcdgoODMX78eJibm2Pv3r1wcHBQL0ZvDBQKBfbt24fQ0FD8+eefsLOz\nw4EDB1BeXo5p06ZpHKurnRMmTICnpydcXV1haWmJX375BUlJSejQoQNGjBhRr22Ry+VQKBTYsGED\n8vLy4OzsjPj4eNy8eRMLFy5UHxcZGYnDhw8jOjoaTk5OAGr2PIipLm1888034e7ujk6dOqFp06a4\nfPky4uPj4eTkhMmTJ4vVpErFxsbiwYMH6jUkT506pf7/V155BdbW1ib9WhorqeY9U891Us5vUs9r\nzGXGRYo5ztTzGyDdHCf1/AYYR45jJ9vEbNq0CTKZDIBqmFB8fLx636OJWCaTqY+r0KRJE6xatQpf\nffUVtm/fDqVSiW7dusHf3x92dnb10wA9mJmZISQkBOvWrUNsbCyKiorg4eGBd999V2sZCl3tfOml\nl/Dbb7/h+PHjKC4uRqtWrTBx4kRMnjxZkGqeNbVo0SJERUXh6NGjuHfvHlxdXbFixQp07dpVfYyu\ndtTkeRBbbds4cOBAnDlzBmfPnkVhYSEcHBwwYsQIvP7660Y57CgmJga3bt0CoGrPiRMncOLECQDA\noEGDYG1tbfKvpTGSat6TQq6Tcn6Tcl5jLjMuUsxxUshvgHRznJTzG2AcOU6WmJioFKY5RERERERE\nRA0b52QTERERERERCYSdbCIiIiIiIiKBsJNNREREREREJBB2somIiIiIiIgEwk42ERERERERkUDY\nySYiIiIiIiISCDvZRERERERERAJhJ5uIiIiIiIhIIOxkExEREREREQmEnWwiIiIiIiIigbCTTURE\nRERERCQQdrKJiIiIiIiIBMJONhERERnct99+i5KSErHDICIyCOY4epQsMTFRKXYQREREJF2//vor\n0tLSYG5ujrKyMnh5eaFly5Zih0VEJAjmOHpcI7EDICIiIumKj49HbGws1q1bB5lMJnY4RESCYo4j\nXThcnIiIiAzi4cOH+PLLLzF+/Hh++CQiyWGOo8rwTjaRiMrKyhATEwOZTIbLly/Dx8cHCQkJKCgo\nQKdOnfDSSy+JHSIRUa1du3YNxcXFcHV1FTsUIiLBMcdRZXgnm0hEsbGxGDhwICZMmAAnJycEBQVh\nypQpuHTpEk6dOiV2eEREdfLUU0+hVatWyM/PFzsUIiLBMcdRZXgnm0hEjRo1QqtWrQAA+fn56N27\nNywtLREYGAgHBweRoyMiqpvGjRujf//++P3335GRkQFLS0t4eXmhadOmYodGRFRnzHFUGXayiUQ0\nevRo9f//9ttv8PHxAQAOOyIiSdi5cyc8PT3h4eEhdihERIJjjqPKcLg4kRG4c+cOrl+/jq5du4od\nChGRIK5du4YHDx7wwycRSRJzHFWFnWwikZSVleHcuXMAgAsXLqBVq1Zo0aIFAODHH39EZmammOER\nEdXJkSNH+MUhEUkWcxxVhZ1sIpF89913CA4ORlFREX766SfY2dkBAEpLS3Hu3Dm0bdtW5AiJiGrv\n/v37OHPmjNhhEBEZBHMcVcV82rRpH4kdBFFDZGlpiby8PGRmZmLIkCHIzc1FamoqLly4gNdeew1N\nmjQRO0QiolqztrbG6tWr8csvv6Bly5Zo3bq12CEREQmGOY6qIktMTFSKHQQRERFJz3/+8x+Eh4cj\nMzMTTz31FKZOnQovLy+xwyIiEgRzHFWGnWwiIiIyqJ9++gn79u3DTz/9hJUrV6Jbt25ih0REJBjm\nOHoc52QTERGRwZSXl6NHjx4ICQlBz549xQ6HiEhQzHGkC9fJJiIiIoO5e/cuYmJiYG1tDRcXF97h\nISJJYY4jXThcnIiIiIiIiEggHC5OREREREREJBB2somIiIiIiIgEwk42ERERERERkUDYySYiIiIi\nIiISCDvZRERERERERAJhJ5uIiIiIiIhIIOxkExEREREREQmEnWwiIiIiIiIigbCTTURERERERCQQ\ndrKJiIiIiIiIBMJONhEREREREZFA2MkmIiIiIiIiEgg72UREREREREQCYSebiIiIiIiISCDsZBMR\nEREREREJhJ1sIiIiIiIiIoGwk01EREREREQkEHayiYiIiIgeU1BQgE2bNiEoKAijRo2Cl5cXEhIS\nqjynrKwM06ZNg5eXF2JiYuopUiIyNuxkExERERE9Jj8/H9u2bUNmZibc3Nwgk8mqPWffvn24deuW\nXscSkXSxk01ERERE9JiWLVti3759iI6Ohq+vL5RKZZXH5+XlYdu2bZg0aVK1xxKRtLGTTURERET0\nmEaNGqFFixZ6Hx8ZGYmnnnoKL730kgGjIiJTwE42EREREVEdpKWl4fDhw5gzZ47YoRCREWAnm4iI\niIioDlavXo0XX3wRcrlc7FCIyAg0EjsAIiIybunp6YiPj8f58+eRlZUFOzs7yOVy+Pj4wMXFpdrz\n79+/j3Xr1uHkyZMoLCyEXC6Hn58fOnToUA/RExEZ1qFDh/Dnn39i6dKlYodCREaCnWwTd+fOHfz8\n889o1aoVLC0txQ6HiAAUFxcjKysLPXr0QPPmzcUOp86io6Px22+/QaFQwNXVFbm5uYiNjcWsWbPw\n9ddfo127dpWeq1QqERwcjKtXr2LChAlo1qwZDhw4gMDAQERERMDZ2bnSc5nfiIyP1PJbXT18+BAb\nNmzAhAkT0LJlyxqdyxxHZHyEynHsZJu4n3/+GcuXLxc7DCLSYfHixZIogDNu3Dh06tQJ5ubm6m0D\nBw6Et7c3du7ciUWLFlV6blJSElJTU7FkyRL0798fAODp6YmpU6di8+bNWLx4caXnMr8RGS+p5Le6\n2rVrF0pLSzFw4EBkZWUBALKzswGoRvFkZWWhZcuWaNRI+yM3cxyR8aprjmMn28S1atUKALB9+3aN\neUCBgYEICwsTKyyDYttMk1TbpqtdaWlpmDJlivr9aeqefvpprW3Ozs5o164dMjMzqzw3OTkZ9vb2\n6g42ANjZ2cHT0xNHjx5FaWmpzg+fQOX5DWhYv09SwbaZpsfbJrX8VlfZ2dm4f/8+pk2bprFdJpNh\n+/bt2LFjByIjI+Hm5qZ1Lj/DSYtU2ybVdgGG/QzHTraJqxheJJfL8fzzz6u329nZafxbStg20yTV\ntlXVLqkP/8vLy0P79u2rPCYjI0Pn3GsPDw989913uHbtWqXXqCy/AQ3z98nUsW2mqbK2ST2/6evV\nV19Fv379NLbduXMHK1euxJAhQ9CvXz88+eSTOs/lZzhpkWrbpNouwLCf4djJJiKiGjty5Ahu374N\nb2/vKo/LycnBs88+q7XdwcFBvb+6jjoRkVhiY2Px4MED9RDwU6dOqf//lVdegbu7O9zd3TXOqRg2\n3q5dO/Tp06d+AyYioyCpTnZJSQmioqJw9OhR3Lt3D66urvDx8UH37t2rPbcm1W8vXryIiIgIZGRk\nwNraGp6enpgxYwaaNGmicZxSqcSuXbsQFxeHnJwcuLi4YPLkyfDy8qoylvnz5yMlJQWjR4/G3Llz\na/YkEBEZWGZmJr788kt06dIFgwcPrvLYoqIiWFhYaG23tLSEUqlEUVFRtY/38svA45eDEPXJAAAg\nAElEQVTIywMquTlkUObmwGefARMn1v9jE1H9i4mJwa1btwCohoCfOHECJ06cAAAMGjQI1tbWOs+T\nyWR6P8bjOU6s/AYAvXoBBw6I89hEUiKpTnZISAiOHz+O1157Dc7OzoiPj0dwcDDCwsLQpUuXSs+r\nSfXbjIwMzJ8/H0899RT8/f2RnZ2N3bt348aNGwgJCdG47oYNGxAdHY0RI0agY8eOOHXqFJYtWwaZ\nTIaBAwfqjCU5ORmpqak1Ss5ERPUlNzcX7777LmxtbfHRRx9Vm6usrKxQUlKitb24uBgymQxWVlbV\nPqaNTSAaN7bT2CaT3YCfX81iF8L//R8waxbQpw/w1FP1//hE9Sk6Oho//vgjRo4cqd6Wn58vYkT1\nLzo6usbntGrVCt9//73ex48dC7Ru/b9/79gBTJ5c44ets4wMYOtW4Pp1QI/VGYmoCpLpZKelpSEx\nMRF+fn4YO3YsANU3jN7e3oiIiMCaNWsqPbcm1W83bNgAW1tbrFq1Sn3n2snJCV988QXOnj2rvmt+\n+/Zt7NmzB2PGjEFAQAAAYNiwYZg3bx4iIiLg6emp9eG0uLgY69atw6RJkxAVFVWn52OihG+zsG2m\nSaptk2q7dHnw4AGCgoLw4MEDrF69Gvb29tWe4+DggJycHK3tFdsqho1X5ZtvwrTmTEVHR4tyN3ne\nPKBLF8DbGzhyBDAzE/b6Uv59YttMT0W7Hm1fSkqKXiMESX8zZwKPpjh394mi5LecHGDbNlVumz7d\nMI8h1fcKIN22SbVdgGHbJvDHA/EcO3YM5ubmGD58uHqbpaUlhg4ditTUVPX8GV2qqn578uRJlJaW\nAlCthXj27Fm8/PLLGkPDBw8ejMaNGyMxMVG97cSJEygrK8OoUaM0HmvUqFHIzs7Gb7/9phVHdHQ0\nlEolxo0bV/Mn4DF8Q5gmts30SLVdjysuLsaiRYtw48YNrFixAm3bttXrPDc3N/z+++9a21NTU2Fl\nZYU2bdrUKh6xnvdmzYCoKOCHH4B164S/vpR/n9g20yTlthkrsZ5zBwege3dVJ9tQpPz7JNW2SbVd\nADvZerly5QpcXFy05kV7eHgAUA3zrkxV1W+Liopw7do1AMAff/yBsrIydOzYUeO4Ro0awd3dXeMx\nMjIy0LhxY60Poh4eHlAqlVofOm/evIldu3bB19eXFTuJyKiUl5djyZIlSEtLw0cffaS1nFaF3Nxc\nZGZmoqysTL1NoVAgLy8PycnJ6m35+flITk5Gnz59Kl2+y5i99BLg5wcsWABcvix2NERkKAUFBdi0\naROCgoIwatQoeHl5ISEhQeMYpVKJ+Ph4LF68GOPHj8e///1veHt7Y/v27SguLhYp8tobNAg4ehQo\nLxc7EiLTJplOdk5Ojs5hhw4ODlAqlTqHK+pzbsX+iv/KZDKdQyTt7e01HiM3NxctWrSo9poVwsPD\n0aFDB3h6elYaJxGRGL7++mucPn0avXr1Qn5+Po4cOaLxUyEyMhLTpk3D7du31dsUCgXkcjlCQ0Ox\ndetWdb2L8vJyrXVlTUloKNCmDTBuHFBYKHY0RGQI+fn52LZtGzIzM+Hm5qazBkVhYSFCQ0ORn5+P\nkSNH4s0334RcLsemTZsQHBwsQtR18/LLQHY2cOGC2JEQmTbTu4VQiaoq2Fbsr825j1a/rfhGUted\nZktLS43HqEk8586dw/HjxxEeHl5pjEREYrly5QpkMhlOnz6N06dPa+0fNGgQAFU13cc/hJqZmSEk\nJATr1q1DbGwsioqK4OHhgXfffRcuJlxZx8YGiIlRVeJ9+23g66/FjoiIhNayZUvs27cPLVq0QHp6\nOvx0VFu0sLDA2rVr8fTTT6u3DRs2DE5OTtiyZQtSUlJMao3h3r0Ba2vVkPHnnhM7GiLTJZlOdlUV\nbCv21+bcR6vfVnSQdQ3/KS4u1ngMfeMpKyvD2rVr8fLLL2sNQ6+JwMBA2NlpVt+dOHGipOdREBmD\n6OhoreqzUqu+GxYWptdxQUFBCAoK0tpuY2OD+fPnY/78+UKHJqpnngG+/BKYPRvw9FTd1SYi6WjU\nqJHOUYmPH/NoB7tC//79sXnzZvz1118m1cm2slLls8OHgYULxY6GyHRJppPt4OCgMUSxgj4VbPWt\nflsx9Dw3N1fr2NzcXI3HsLe3x/nz56u9ZkJCAq5du4Z33nkHWVlZGscWFBQgKysLLVq0qHaZm7Aw\n7eq7RGR4ur7MYvXdhmPWLCAxEZgxA+jcWfVDRFTxee/xGyCmYMgQ4J13gLt3VcUeiajmJDMn283N\nDdevX0dBQYHG9oo1p93d3as8V5/qt+3bt4e5uTnS09M1jistLUVGRobGY7i7u6OoqAiZmZk646ko\ntJadnY2ysjK8+eabmDRpkvpHJpMhISEBkydPxs8//1yzJ4OIiOqFTAasX69aM3vkSNUSOEREu3bt\nQtOmTfHCCy+IHUqNjRgBlJQAj9V4I6IakEwnW6FQoKysDHFxceptJSUlSEhIgFwuh6OjI4C6Vb9t\n2rQpunfvjiNHjmh05hMSElBYWKhRtKxv374wNzfH/v37NeKMi4tDy5Yt0fm/tzu8vLzw8ccfY+nS\npRo/SqUS//rXv7B06dJKK/kSEZH4bG2Bb79V3fUZO1b14ZSIGq7t27fj3LlzmDVrFpo2bSp2ODXW\nrp1qOsy334odCZHpksxwcblcDoVCgQ0bNiAvLw/Ozs6Ij4/HzZs3sfCRSSWRkZE4fPgwoqOj4eTk\nBEDVyd63bx9CQ0Px559/ws7ODgcOHNBZ/dbHxwcBAQGYN28ehg8fjuzsbOzZswc9e/ZEjx491Mc5\nOjri1VdfRUxMDEpLS9GpUyecOHECFy9exOLFi9XFgdq0aVPpOrGtWrVCnz59BH6miIhIaO3bA3v3\nqpb3mjcP+Oor1V1uImpYfvjhB2zatAlDhw7FiBEj9DrHGOvqjBypymOlpYAJrrRIpBdD1tWR1Ntm\n0aJFiIqKwtGjR3Hv3j24urpixYoV6Nq1q/qYula/7dChAz7//HNERkYiPDwcTZo0wbBhwzBjxgyt\neHx9fdGsWTPExcUhISEBLi4uWLx4Mby8vKpti644iYjIeCkUqirjs2YBbdsCJrh6DxHVwc8//4yQ\nkBD07t0bgYGBep9njHV1Ro4Eli0DTpxQFUIjkiJD1tWRVCfbwsICvr6+8PX1rfQYIarfdunSBatX\nr9Yrptp+E/n999/X+BwiIhLXzJnAjRvAu+8CTk7A9OliR0RE9SE1NRUffPAB5HI5PvjgA5iZmfaM\nzO7dgdatVUPG2ckmqjnTzgBERERG5sMPAV9fVYf74EGxoyEiQ/vrr7+waNEiPPnkk1i+fLl6yVdT\nZmamKoC2fz+gVIodDZHpkdSdbCIiIrHJZKq5jNnZqkJoBw8CL74odlREVBuxsbF48OABsrOzAQCn\nTp1S//8rr7wCmUyGhQsX4v79+5gwYQJOnz6tcb6zs7POdbRNwauvAhERwNmzwCNlh4hID+xkExER\nCczcHNixAxgzRnU36OBBQI9yHERkZGJiYnDr1i0Aqno5J06cwIkTJwAAgwYNglKpxO3btwEA69ev\n1zr/5ZdfNtlO9sCBwBNPALt2sZNNVFPsZBMRERlA48ZAbCwwejQwfDjwf//HuY1EpubxysO6SLWO\nTqNGqtE4u3cDoaGqIeREpB++XYiIiAykcWPVnMb+/YFhwwCJfhYnIomaMAG4fh04dUrsSIhMCzvZ\nREREBlTR0R4wABg6VLWeNhGRKejTB3BxUQ0ZJyL9cbg4ERFVq6CgALt27cKlS5dw6dIl3Lt3D0FB\nQRg8eHC158bHxyM0NFRru0wmw969e9GiRQtDhGxUmjQBDhwApk0Dxo0DwsNVFciJyHjVJO9lZmZi\n7dq1uHjxIiwsLPDCCy9gzpw5sLOzEyFy4ZiZAePHA1u3AmFhgIWF2BERmQZ2somIqFr5+fnYtm0b\nnJyc4ObmhgsXLtTofJlMhunTp6NVq1Ya221sbIQM06hZWgLbtwMtWwKzZwO3bgHvvaeqRk5Exkff\nvJednY25c+fC1tYWM2fOREFBAXbv3o0///wT4eHhMDc3r+fIhTVlCrByJXDoEDBypNjREJkGdrKJ\niKhaLVu2xL59+9CiRQukp6fDz8+vxtfo1asXOnbsaIDoTIeZGfDll6qKve+/D2RkAJGRgJWV2JER\n0eP0zXvbt29HUVER1q9fD0dHRwBAp06dsGDBAsTHx2PYsGH1GbbgunUDnnsOiIpiJ5tIX5LqZJeU\nlCAqKgpHjx7FvXv34OrqCh8fH3Tv3r3ac+/fv49169bh5MmTKCwshFwuh5+fHzp06KB17MWLFxER\nEYGMjAxYW1vD09MTM2bMQJMmTTSOUyqV2LVrF+Li4pCTkwMXFxdMnjwZXo+t45KcnIykpCSkp6cj\nNzcXjo6O6N27N6ZOndqg7vIQkfFq1KiRIMO6CwoKYGVlBbMGXKZWJlPdwXZ1Bby9gStXVFXI//vZ\nnIiMhL557/jx4+jdu7e6gw0A3bt3h4uLC5KSkky+kw0APj7AvHlAVhbw2IAkItJBUp9yQkJCsG/f\nPgwaNAgBAQEwNzdHcHAwLl68WOV5SqUSwcHBSExMxCuvvILZs2fjzp07CAwMxI0bNzSOzcjIwPz5\n81FcXAx/f38MGzYMBw8exJIlS7Suu2HDBqxfvx49e/bE3Llz0apVKyxbtgyJiYkax33xxRfIzMxU\nx/3CCy8gNjYWb775JoqLi+v+xBARiUypVCIwMBDDhg3DkCH/z97dx0VZ5v3/f40IijdgIJe6kClo\nwKarmdqmKWiRrjeZmpkpPgz7ZmqWdLlq0q9N25LcNty0FO/SSwqX9FLTrvCmUNRyK0jNIBC7wTQT\nQfEOAXF+f5zLrCMDogzOML6fjwcP85jzOOdzzMin+cx5nMfRn5iYmAr59VbzxBOQkgKHDkH37vDd\nd46OSESu18mTJzl9+jTBwcEVHgsJCeHQoUMOiMr+nnjC2NLrf/7H0ZGI1A0ucyU7MzOTlJQUJk6c\nyIgRIwCIiIggKiqK+Ph4FixYUGnfHTt2kJGRwezZs+nVqxcA4eHhREZGsnLlSmJiYizHLlu2jKZN\nmzJ//nzLlesWLVrw1ltvkZaWZrlqfvLkST788EOGDh3KlClTABg4cCDPP/888fHxhIeHY/r3jXiz\nZ8+mU6dOVjG1b9+e2NhYtm/fzoABA+z0KomI3HwNGzakf//+3H333TRq1Ijs7GySkpKYMmUK8fHx\nVld/bjX33QdffgmDB8O998KyZcaWOSJSN+Tn5wPg4+NT4TFfX1/Onj3LpUuXqF+/bn/kvu02GDbM\nmDL+5z9rLQmRa3GZK9k7d+7Ezc2NQYMGWdo8PDwYMGAAGRkZ5OXlVdo3NTUVHx8fS4EN4O3tTXh4\nOHv27OHSpUsAXLhwgbS0NB566CGrqeH9+vWjYcOGVleod+/eTVlZGUOGDLF6riFDhpCXl8d3V1yy\nuLrABiyx5ObmVvclEBFxSuHh4UyfPp2IiAh69uzJk08+ybx58ygsLCQhIcHR4TncHXcYe9AOGQKj\nRsGUKaBJTCJ1Q/mMQw8PjwqPlbcVFxff1Jhqy/jxkJUFqamOjkTE+dXtr9WucPjwYQICAircFx0S\nEgIY07wru1qSk5Nj897rkJAQPv74Y44cOULbtm354YcfKCsrq7BwT/369WnXrh05OTlW52zYsCGt\nW7eucE6z2cyhQ4fo0KFDpeMp/2a0rm/9ICJiS8eOHQkNDSU9Pf2ax0ZHR1fIhaNGjWLUqFG1Fd5N\n16SJsfL4/ffD1Knw1VeQlARX/S9E5KZKTEwkMTHRqq2wsNBB0Tin8kLa1u195W0NrrGyYV3JcX37\nQmgoLFgAYWGOjkak5mozx7lMkZ2fn4+vr2+Fdl9fX8xms6VorayvravJ5efLz8+nbdu25OfnYzKZ\nbE4J8vHxsbr3u6CgwOZiGVeesyqJiYm4ubnRu3fvKo8TEamr/Pz8OHLkyDWPi4uLo0uXLjchIscy\nmWDiROjaFR591FjNd+lSY4qmiCPYKvTS09OrtaDsraL8c11BQUGFx/Lz82natOk1p4rXlRxnMhkz\nbZ59FnJz9SWg1H21meNcZrp4cXEx7u7uFdqrM1Wnqr5ms9nS91pTgq58jprEs337dj755BMee+wx\n/P39Kz1ORKQu+/XXX2nWrJmjw3A63bpBejqEh8Pw4cYK5GfPOjoqEbGlefPmNGvWjKysrAqPff/9\n97Rr184BUdWeyEho2hTeecfRkYg4N5e5kt2gQQNKS0srtFdnqk5VfU0mk6XvtaYEXfkcNxrPgQMH\nePPNN+nevTvjx4+vNOar1ZWpRiKuRtMprRUUFHDu3Dn8/f1xc3MDjNfj6vy0d+9esrOzGT58uCPC\ndHq+vrB2LaxcCc89Bzt3wurV0KOHoyMTkav16tWLrVu3kpeXZ7k1MS0tjV9++YXHHnvMwdHZV5Mm\nxr3ZS5fCX/4CjRo5OiIR5+QyRbavry8nT56s0F4+LdvWVPIr+9qavn113/Kp57amBBUUFFg9h4+P\nD/v27buueHJycnjppZcIDAzklVdeua59ZOvKVCMRV3MrTadcv34958+ftywk+fnnn1v+e9iwYTRq\n1IglS5awdetWEhMTadGiBQDPPvss7dq1Izg4mMaNG5OdnU1ycjItWrRg9OjRDhuPszOZ4MknoXdv\n4+pRr14wfTq8/DJctfyIiNSS6uS9MWPGkJqaSnR0NMOHD+fChQskJSURFBRE//79HRl+rZg8GeLi\njO28nnnG0dGIOCeXKbKDgoLYt28fRUVFVoufZWRkYDKZqpyuExQUZHMv7YyMDBo0aMDtt98OQNu2\nbXFzcyMrK4uwK1Z8uHTpEjk5OfTp08fS1q5dOz755BNyc3OtFj+rLJ6jR48yY8YMfHx8iI2NpWHD\nhtf/IoiI1KKkpCROnDgBgMlkYvfu3ezevRswtkxs1KgRJpPJsj1huT59+rB3717S0tK4ePEivr6+\nDB48mLFjx2q6eDUEBRmr+b7xBsyZA//7v8ZWX1dsiCEitaQ6ec/Pz4/58+fz7rvvsnTpUtzd3fnj\nH//IxIkT6/zWXbYEBhrrRsybB089ZeyfLSLWXObXIiwsjKSkJDZt2mSZmlNaWsqWLVsIDQ21TN+x\nNZUxLCyMXbt2kZqaallorLCwkNTUVHr06GFJkI0bN+aee+5h27ZtREZGWor5LVu2cPHiRcLDwy3x\n9OzZk3fffZcNGzbw3HPPWdo3bdpE8+bNrVYWLygoYPr06bi5ufHGG2/g5eVVey+UiMgNunpavC0z\nZsxgxowZVm1RUVFERUXVVli3hPr1ISbGWATtqaeMq9sTJ0JsLOh/GSK1pzp5D+COO+7gjTfeqOVo\nnMesWcbijGvWwJgxjo5GxPm4TJEdGhpKWFgYy5Yt49SpU/j7+5OcnMxvv/3G9OnTLcfZmsoYFhbG\nunXrmDdvHj/99BPe3t5s3LiRy5cvM27cOKvnGT9+PFOmTOH5559n0KBB5OXl8eGHH9KtWze6du1q\nOc7Pz4/hw4eTlJTEpUuXCA4OZvfu3Rw8eJCYmBirKz3Tp0/n+PHjPP744xw4cMDq+Xx8fFxy2qmI\niFy/0FDYtQvefRdefBE2bYK334ZHHjGml4uI3AydO8PAgTB3LjzxBFzHHY4itwSXKbIBZs2axYoV\nK9i+fTtnz54lMDCQuXPn0rFjR8sxtqYy1qtXj9jYWBYvXsz69espLi4mJCSEF198kYCAAKtj27dv\nz5tvvsmSJUtYtGgRnp6eDBw4kKeeeqpCPBMmTMDLy4tNmzaxZcsWAgICiImJoW/fvlbH/fjjjwCs\nWbOmwjk6deqkIltERCzq1TO20Bk82Lg3ctgweOgho9gODnZ0dCK3pqNHj7J8+XIOHjzI2bNn+a//\n+i8eeOABRo4cec19suuqmBhjMcaNG2HoUEdHI+JcXKrIdnd3Z8KECUyYMKHSY2xNZQRo0qQJ06ZN\nY9q0add8ng4dOvD2229XK6bqrPD96aefVutcIiIi5e64AzZvNq5mP/88dOwIL7wAL71krAAsIjdH\nXl4ezzzzDE2bNmXo0KF4eXnx3XffsXLlSg4dOsSrr77q6BBrxX33QZ8+MHs2DBmiq9kiV3KpIltE\nRORWM3gwREQYixDNnQsJCca92prCKXJzbNmyhQsXLvDOO+9YFrsdOHAgly9fZtu2bZw7d44mLvrN\n16uvwv33wz//Cdo1VuQ/9L9fERGROq5hQ2Nrr8xMuPdeY8uvbt3gs88cHZmI6ysqKgKosFuCj48P\nJpMJd3d3R4R1U/TsaXzR99JLUFLi6GhEnIeKbBERERfRpg2sW2csjubhAQ88AAMGgI1dKkXETjp1\n6oTZbGbevHnk5OSQl5fHZ599xkcffcTw4cNd9p7scq+/Dj/+CEuXOjoSEeeh6eIiIiIu5v774fPP\njYL7xRehUycYNw7+8hf492xWEbGT7t27ExUVxfvvv8/nn38OGAvtjh49+pbYvrBDBxg7FubMMf5s\n2tTREYk4nq5ki4iIuCCTCR59FL77Dv7xD/joI2jf3liR/OhRR0cn4lpatGhBp06dmDZtGnPmzOFP\nf/oT77//Phs2bHB0aDfFnDlw9iz89a+OjkTEOehKtoiIiAvz8DC2/Bo3DhYuhL/9DZYvhwkTYOZM\naNXK0RGK1G2fffYZb731FgkJCfj6+gJw//33U1ZWxpIlS3jggQdoWsXl3ejoaLy9va3aqrM7jTNp\n3RpmzTKK7SefhJAQR0ckcm2JiYkkJiZatRUWFtrl3CqyRUREbgFNmhhF9aRJxp7af/87LFli/H3a\nNBXbIjdq48aNtG/f3lJgl+vZsydbt27l0KFDdOnSpdL+cXFxVT5eV0ybBu+9B889B1u2GLNpRJyZ\nrS+z0tPTueeee2p8bk0XFxERuYV4eRkrAf/4o1F0L1sGbdvCM8/A4cOOjk6k7jl16hSXL1+u0H7p\n0iUAysrKbnZIDtGwoXFryrZtsH69o6MRcSwV2SIiIregZs2MhdB+/tn4c/16uPNOY3/t/fsdHZ1I\n3XH77bdz6NAhjl612MGnn36KyWQiKCjIQZHdfIMGGT9TpsDp046ORsRxXGq6eGlpKStWrGD79u2c\nPXuWwMBAxo8fX61L/ufOnWPx4sXs2bOHixcvEhoaysSJE2nfvn2FYw8ePEh8fDw5OTk0atSI8PBw\nnnrqKTw9Pa2OM5vNrFmzhk2bNpGfn09AQACjR4+mb9++Fc558uRJFi5cSFpaGmazmc6dOzN58mRa\naf6eiDiBoqIi1qxZw/fff8/333/P2bNnmTFjBv369atW/+vJsXJzNWtmrEA+daox1fNvf4POnY2t\nv2bMgF69NO1TpCojR47kyy+/ZMqUKQwdOhQvLy+++OILvvrqKwYOHIiPj4+jQ7yp3n0X7rrLmD6+\nbJmjoxFxDJe6kh0bG8u6deuIiIhgypQpuLm5MXPmTA5eY4NQs9nMzJkzSUlJYdiwYTzzzDOcPn2a\n6OjoCt9K5uTkMG3aNEpKSpg0aRIDBw5k8+bNzJ49u8J5ly1bxtKlS+nWrRvPPfccLVu25K9//Ssp\nKSlWxxUVFREdHc23335LZGQk48aNIycnh+joaM6ePVvzF0ZEpIYKCwtZvXo1ubm5BAUFYbqOqut6\ncqw4jqencX92djasXm1c4Q4Lg+7d4f33oaTE0RGKOKc//OEPLFy4kODgYD766CPeeecdfv31V556\n6immTp3q6PBuuttvN9Z8WL7cmDoucitymSvZmZmZpKSkMHHiREaMGAFAREQEUVFRxMfHs2DBgkr7\n7tixg4yMDGbPnk2vXr0ACA8PJzIykpUrVxITE2M5dtmyZTRt2pT58+dbrly3aNGCt956i7S0NMtV\n85MnT/Lhhx8ydOhQpkyZAsDAgQN5/vnniY+PJzw83PIhdcOGDRw7doxFixZx5513Av/ZczEpKYnx\n48fb+dUSEbk+zZs3Z926ddx2221kZWUxceLEave9nhwrjufuDmPGGNPGt2yB+fONv0+fbmz/9fTT\n0Ly5o6MUcS7BwcHMnTvX0WE4jaeegn/+0/jz22+NtSBEbiV2vZK9e/duy39/+eWXFBcX2/P0Vdq5\ncydubm4MGjTI0ubh4cGAAQPIyMggLy+v0r6pqan4+PhYPvwBeHt7Ex4ezp49eywLV1y4cIG0tDQe\neughq6nh/fr1o2HDhlZXqHfv3k1ZWRlDhgyxeq4hQ4aQl5fHd999Z/X8wcHBlgIboHXr1nTp0oUd\nO3Zc/4shImJn9evX57bbbruhvtXNseJc6tWDP/3JKLQPHoSBA+HVV42rVE8/DRkZjo5QRJyVyQRL\nl8KpU8aXcyK3GrsU2dHR0bzyyivs3buXY8eOAdCtWzdSU1PtcfpqOXz4MAEBARXuiw7590Z9OTk5\nlfbNycmxeV9gSEgIxcXFHDlyBIAffviBsrIyq2IYjA+f7dq1s3qOnJwcGjZsSOvWrSuc02w2c+jQ\nIcCYRvnDDz8QHBxs8/mPHTtGUVFRVUMXEXFq1c2x4rzuusvY7uvIEfj//j/YvNlo69sXPvwQSksd\nHaHcyoqKijhw4AA5OTm3zEredUHbtrBoESQkGLegiNxK7DJdPC4ujtzcXJYsWcKiRYv49ddfCQoK\nwsPDg4iICHs8xTXl5+dX2J8QwNfXF7PZTH5+fpV9O3XqZLNv+eNt27YlPz8fk8lkcwELHx8fq3u/\nCwoKbF71ufKcAGfOnKG0tLTS2MuPDQgIqDR+EZFyx48fp2XLlo4Ow0p1c6w4v+bNYdYsY0GjtWuN\nD9CPPQYtWxrTQp9+2rjSLXKz7Ny5k3nz5lFUVITJZKJp06Y8/PDDjB49mgYNGtzUWLKzs1m1ahUH\nDx6kpKSEVq1aMXjwYIYOHXpT43Amo0fD1q3Geg9//CNorUu5VdjtnuzWrVvz8PcoubEAACAASURB\nVMMP0717d8xmM4cPH8brJt6AUVxcjLu7e4V2Dw8Py+M30tdsNlv6lvx71Zfyc1597JXPUd14ys95\no7GXy8y85iEicpM48vfxvffe48UXXwRg7969/PGPfwSMhctSU1MZPHjwTY+pujlW6g4PD+Oe7See\nMO63XLzY2B/39deN7XueeQb69TOmnIvUpr1797J69WoaN27Mjz/+yIEDB9i5cydffvklb775Jk2a\nNLkpcXz11VfExMRw5513EhkZiaenJ8eOHavydsVbxTvvwBdfwOOPw+7dxiKLIq7uhovsZcuWcfjw\nYfz8/Ljrrrvo1q0b3bt3B8BkMtGuXTu7BVkdDRo0oNTGfLXyIraqbzOr6msymSx9y4veEhtLrJaU\nlFg9R3XjKT/njcZebsyYaMD7qtZR//4RkdqT+O+fKxU6IhDA+ku5nTt3Wopsb29vh33Yq26OrUx0\ndDTe3tb5bdSoUYwapfzmDDp2ND5Ex8bCBx8YV7cHDDCmio4fD+PGgb+/o6OUG5GYmEhionV+Kyx0\nXH6zpXXr1pYZhiEhIYSEhPDYY4+xdetWli5dSnR0dK3HcOHCBWJjY+nRowevvPJKrT9fXdOkCSQl\nQY8eMGECrFqlbQHF9d1wkf3LL78QEBDAqFGjuHz5Mnv37uX48eOEhYURFBRkzxirxdfXl5MnT1Zo\nL5+WbWs69pV9bU0nv7pv+dTzgoKCCscWFBRYPYePjw/79u275jm9vLxwd3ev1vNXJSEhjtDQLtc8\nTkTsreKXWZmZ6YwZc49DovH09LTa6eBKbm5uDoio+jm2MnFxcXTpovzm7Jo2NT5AP/007N1rXN1+\n7TV4+WXjqvb48TB4sHEVXOoGW19mpaen28wvjtKmTRurWTvlHnrooZu2ReD27ds5ffq0ZTeYixcv\n0qBBg+va6tDVde5sbOn1xBNw991wE777EHGoGy6yr/6mbsCAAQBs27aN48eP07NnzxoFdr2CgoLY\nt28fRUVFVoufZWRkXPPKelBQkM29tDMyMmjQoAG3//sGs7Zt2+Lm5kZWVhZhYWGW4y5dukROTg59\n+vSxtLVr145PPvmE3Nxcq8XPro7HZDIRGBhIVlZWhefPzMykVatWFRZzsyU0FPQZVESioqKYNGkS\nHTp04OzZsxQUFFC/fn2+/vprTpw44ZCYqptjxTWYTHDffcbPggWwZg2sWAGPPmrc0z1mjFFwd+jg\n6EjFFRQWFrJw4UI6dOhAx44d+cMf/kBISAhnzpyxmtlz8eJFGjZsWCsxpKen06hRI06cOEFMTAy/\n/PILDRs2JCIigsmTJ9u8zfBWNGoUfPONsaZDx47w4IOOjkik9tTobqlz585VaIuIiLCsnH0zhYWF\nUVZWxqZNmyxtpaWlbNmyhdDQUPz8/ADjinNubq7V6pNhYWGcOnXKajX08vsXe/ToQf36xncRjRs3\n5p577mHbtm1WK35v2bKFixcvEh4ebmnr2bMnbm5ubNiwwSrOTZs20bx5czpc8emid+/eZGVlkZ2d\nbWnLzc3lm2++sTqniMi1+Pn5MX/+fAoLC0lPT2fEiBEMHTqUTz75hAkTJtT689ckx4rr8fL6z5Xt\ngwdh7Fh4/33jA3b37hAfD042+1jqmH379hETE8Ndd93Fvn37mDFjBoMGDWLUqFGUlpaSlpZGSUkJ\nb731Vq3F8Msvv3Dp0iVeeukl7r33XubMmcOAAQPYtGkT8+bNq7XnrYvmzoWICONLNxvfvYq4jBv+\nZDN79mx27txJmzZt6N+/P7169aJVq1aYzWZOnTplzxirJTQ0lLCwMJYtW8apU6fw9/cnOTmZ3377\njenTp1uOW7JkCVu3biUxMZEWLVoAxgfAdevWMW/ePH766Se8vb3ZuHEjly9fZty4cVbPM378eKZM\nmcLzzz/PoEGDyMvL48MPP6Rbt2507drVcpyfnx/Dhw8nKSmJS5cuERwczO7duzl48CAxMTFWU4ge\neeQRPv74Y2bOnMnIkSNxc3Nj7dq1+Pr6MmLEiNp94UTE5fj7+/PWW29x8uRJTpw4ga+vryXf1cT6\n9es5f/685d7uzz//3PLfw4YNo1GjRjXOseK67roL/v5340P25s3G1e1Jk2DqVBgyxLjC3a8f2Fgj\nT6RS7dq1o6ioiCFDhhAZGUlZWRlZWVl8++23HDhwgDlz5lhWHp81a1atxFBUVERJSQkPP/wwk/+9\nKfT9999PaWkpmzdv5sknn8RfCxMA4OYG//wn9O4N/fsbC6JpMpO4ohsustu2bcukSZP48ssv+fTT\nT1myZAmenp7Uq1eP0aNH2zPGaps1axYrVqxg+/btnD17lsDAQObOnUvHjh0tx5hMpgr3yNSrV4/Y\n2FgWL17M+vXrKS4uJiQkhBdffLHC1lnt27fnzTfftGxX5unpycCBA3nqqacqxDNhwgS8vLzYtGkT\nW7ZsISAggJiYGPr27Wt1nKenJ/Pnz+edd94hISEBs9lM586dmTRpUoXFfkREqqt58+Y0b97cbudL\nSkqyTDk3mUzs3r2b3bt3A8YspkaNGtU4x4rr8/CAYcOMn6NHjSvbq1cb92v7+RkrEI8ZA926aXEk\nubZHH32UY8eO8c033xAWFoabmxu///3v+f3vf8/IkSMBOHz4MK+//nqtxVC+eOPVn+8eeOABNm3a\nREZGRpVF9q22uKO3N3zyibEQ2p/+BLt2gY1db0VqXW0u7mhKSUkx30jHbdu2UVpaSp8+ffD09OT8\n+fMcOXKEZs2aOd0era4sOzubCRMmkJaWpoWBRJxE+cJA8fHx3HnnnY4Op85Sfrt1mM1w4IBRbH/w\nAfz6K9x5J0RGGvvsaht151FX89tXX31Ft27dauXcf/7zn0lPT2fVqlVWXxzm5uYybtw4nn32WYYN\nG1ah362e47KyjEI7NBSSk41VyEUczV457obvyY6IiKBTp06kpKQAxv3KISEhKrBFRETkuphM0KkT\nvPkmHDkCW7fCvfca24IFBkKvXrBkCTjgbjRxEbVVYAOWD+JX73JTvoNCs2bNau2567LgYPi//zO+\nYBs4EM6fd3REIvZTo9Vm/P39dY+JiIiI2I2bm7EwUkSEsef2hg3GFe6JE2HKFKO9Gjtbugw/P5g3\nD+rVaKlaqU19+vQhMTGR//u//6Nz586W9s2bN1O/fn2rNrF2773GVex+/WDQIGO9hsaNHR2VSM1p\nSVcRERFxSo0bG9PFR482ppCvWWNc+frxR0dHdnMUFMB338ELL8DvfufoaKQy7dq1409/+hPJyclc\nunSJTp068c0337Br1y5Gjx6Nj4+Po0N0aj16WBfaH30ETZs6OiqRmlGRLSIiIk6vVSuIjjZ+bhWf\nfAIDBjg6CqmOF154gRYtWpCcnMzu3btp2bIlkydPtnkvtlTUs6dRaA8cCH36GF+m/dd/OToqkRun\nIltEREREpAbc3NwYO3YsY8eOdXQoddb990NqqnFF+/77YcsWLXoodZfu8BEREREREYfr1Ak+/xwu\nXzaubqelOToikRujIltERERExE4SEhLo27cv48ePd3QodVJgIOzZAwEBxs4CSUmOjkjk+qnIFhER\nERGxg7y8PN5//308PT0dHUqd1qIF7NwJQ4fCyJHw8svG1W2RukL3ZIuIiIiI2MGiRYu46667KCsr\n48yZM44Op07z9ISEBOjYEWbNgn37YOVK0GLtUhe4VJF97tw5Fi9ezJ49e7h48SKhoaFMnDiR9u3b\nV6v/yZMnWbhwIWlpaZjNZjp37szkyZNp1apVhWP37NnDqlWr+Pnnn7ntttvo378/kZGRuLm5WR1X\nWlrKihUr2L59O2fPniUwMJDx48dzzz33WI4xm81s2bKFXbt2kZOTw5kzZ2jVqhV9+/blsccew8PD\no2YvjIiIiIjUqv3797Nr1y6WLFnC22+/7ehwXILJBDNnGoX22LFw993GVn733efoyESq5jLTxc1m\nMzNnziQlJYVhw4bxzDPPcPr0aaKjozl69Og1+xcVFREdHc23335LZGQk48aNIycnh+joaM6ePWt1\n7L/+9S9efvllvLy8eO6557j//vtZvXo1CxYsqHDe2NhY1q1bR0REBFOmTMHNzY2ZM2dy8OBByzEX\nL15k3rx5FBYW8vDDD/Pss88SGhrKe++9x8yZM2v+4oiIiIhIrbl8+TILFixg4MCBtNWS2HY3cKBx\nJTsgAHr3hr/9TdPHxbm5zJXsHTt2kJGRwezZs+nVqxcA4eHhREZGsnLlSmJiYqrsv2HDBo4dO8ai\nRYu48847AejevTtRUVEkJSVZLV6xaNEigoKCmDdvHvXqGd9TNGrUiPfff5/hw4dz++23A5CZmUlK\nSgoTJ05kxIgRAERERBAVFUV8fLylKHd3d2fhwoX8/ve/tzzHwIEDadGiBatWrSI9PZ0uXbrY6ZUS\nEREREXvauHEjJ06cICoqytGhuKzbb4cdO+Cll2D6dGNf7eXLoU0bR0cmUpHLXMlOTU3Fx8fHUmAD\neHt7Ex4ezp49e7h06dI1+wcHB1sKbIDWrVvTpUsXduzYYWn7+eefyc3NZdCgQZYCG2DIkCGYzWZ2\n7txpadu5cydubm4MGjTI0ubh4cGAAQPIyMggLy8PgPr161sV2OV69eqF2Wzm559/rv4LISJSC0pL\nS4mPj2fEiBH079+fSZMmkVaNvVWSk5Pp27dvhZ8HHniAU6dO3YTIRURq15kzZ1i5ciVjx47Fy8vL\n0eG4NHd3eOMN2LYNcnKMaeRLloDZ7OjIRKy5zJXsnJwcm/deh4SE8PHHH3PkyJFKp++YzWZ++OEH\nBgwYYLN/WloaRUVFeHp6cujQIUwmE8HBwVbH+fr64ufnR05OjqXt8OHDBAQEVFhhMiQkxBKzn59f\npWPKz88HjC8LREQcKTY2ll27dvHoo4/i7+9PcnIyM2fOJC4ujg4dOlTZ12Qy8eSTT9KyZUur9iZN\nmtRmyCIiN8Xy5cvx9vZm6NChjg7llvHgg/Dtt/Df/w0TJsC6dbBokbH9l4gzcJkiOz8/n06dOlVo\n9/X1tTxeWZF95swZSktLLcdW1j8gIICCggIAfGwsbejj48PJkyetYqrsnGaz2VJEV2bNmjU0btyY\ne++9t8rjRERqU3VvfalK9+7drWYKiYi4gqNHj7J582aeffZZywxFgJKSEi5dusTx48dp3LgxTZs2\nrfQc0dHRFS6ojBo1ilGjRtVa3K7AywuWLoXhw+Hpp+GuuyAmBv78Z2jQwNHRSV2QmJhIYmKiVVth\nYaFdzu2URbbZbKa0tLRax5avvF1cXIy7u7vNx81mM8XFxZWeo6SkBKDS/uXnv/JPWyt+e3h4UFRU\nZPl7VTFdeS5bEhIS+Oabb5g6dSqNGzeu9DgRkdpW1a0vy5cvJy8vr8pZOeWKiopo0KCB1a02IiJ1\nWXlhvXDhQptfOI4ePZphw4YxefLkSs8RFxentXdqoH9/yMyEV1+F2bPhf/4HFi6Ehx5ydGTi7Gx9\nmZWenm61C9SNcsoie//+/bzwwgvXPM5kMrFy5Upuv/12GjRoYLMwLykpwWQy0aCKr7TKi97K+gOW\n/uV/lrdffeyVxXdVMV15rqt99tlnvPfeewwYMIDBgwdXGveV9C2oiGPU5regzqKmt76YzWaio6Mp\nKiqifv36dOvWjUmTJuHv71+rcYuI1La2bdsyZ86cCu3Lly+nqKiIKVOm2NwKVuyrcWOIjTW2+Zo0\nCfr1M1Ykf+MN4wq3yM3mlEV269atmTFjRrWOLZ+O7evra3P6dXmbrWnb5by8vHB3d69W//Jp4gUF\nBRU+VBYUFBAaGmoV25XTx6sT09dff01sbCz33Xcf0dHRlcZ8NX0LKuIYtfktqLOoya0vDRs2pH//\n/tx99900atSI7OxskpKSmDJlCvHx8dW6Ai4i4qy8vb3p2bNnhfa1a9diMpno0aOHA6K6df3+95CS\nAmvXGvtr/+EPEBUFc+aAvuuQm8kpi2wfHx/69et3XX2CgoKs9p4ul5GRQYMGDSzbatliMpkIDAwk\nKyurwmOZmZm0atXKcgWnXbt2mM1msrKyrBY/y8/PJy8vz+rKc1BQEPv27bMsmnZlTCaTiXbt2lWI\n9eWXXyY0NJSXX35ZUypFxCnU5NaX8PBwwsPDLX/v2bMnXbt2ZerUqSQkJFzXl4kiIiLXYjLBiBEw\nZIixGNqcOfDBB/D88/DCC9C8uaMjlFuBy1RxYWFhnDp1itTUVEtbYWEhqamp9OjRg/r1//N9wokT\nJ8jNzbXq37t3b7KyssjOzra05ebm8s0331h9QGzTpg2tW7dm8+bNmK/YL2Djxo2YTCZ69+5tFVNZ\nWRmbNm2ytJWWlrJlyxZCQ0OtruD8/PPPzJo1i1atWvHaa6/ZvOdbRMQRbvTWl8p07NiR0NBQ0tPT\nq3V8dHQ0Dz/8sNXP1VP0RcT+EhMTK/zu6Yux6omLi2P58uWODuOW5uFhFNaHD8Nzz8Hbbxt7as+Y\nAVesUSdSK5zySvaNCAsLY926dcybN4+ffvoJb29vNm7cyOXLlxk3bpzVsa+//joHDhzgs88+s7Q9\n8sgjfPzxx8ycOZORI0fi5ubG2rVr8fX1taymW27ChAm89NJLTJs2jb59+/LDDz+wYcMGBg0aROvW\nrS3HhYaGEhYWxrJlyzh16pRl25vffvuN6dOnW44rKipi+vTpnDt3jscff5wvvvjC6vn8/f1t7qMt\nInIz3MitL9fi5+fHkSNHqnWsbocRcYxb4XYYcX3NmsHcucZ2X2+9BQsWGAujTZxoFOFVTHYVuWEu\nU2TXq1eP2NhYFi9ezPr16ykuLiYkJIQXX3yRgIAAq2NNJhMmk8mqzdPTk/nz5/POO++QkJCA2Wym\nc+fOTJo0qcKCYvfddx9z5sxh1apVLFiwgGbNmhEZGUlkZGSFuGbNmsWKFSvYvn07Z8+eJTAwkLlz\n59KxY0fLMYWFhZYPsEuXLq1wjoceekhFtog4zPXe+lIdv/76K82aNbNnmCIuKy8P3Nyqf7yfH+iO\nMxFrzZvD66/DtGkQF2cU2/Pnw2OPGdPIu3Z1dITiSlymyAZo0qQJ06ZNY9q0aVUeFxcXZ7O9efPm\n/OUvf6nWc/Xs2dPmQhdXc3d3Z8KECUyYMKHSY1q2bMmnn35arecVEbnZwsLCSEpKYtOmTTz22GOA\n7VtfCgoKOHfuHP7+/rj9uyIoLCys8EXl3r17yc7OZvjw4Td3ICJ1TMOGxp+dO19fv2nT4G9/s388\nYltWVhbJycns27eP48eP4+3tTWhoKOPHj69woUccz8fH2O5rxgx47z2j0O7WDXr1guhoGDwY6rtU\nhSSOoH9CIiJSpere+rJkyRK2bt1KYmIiLVq0AODZZ5+lXbt2BAcH07hxY7Kzs0lOTqZFixaMHj3a\nUUMSqRN694atW+Hixer3mTkTTpyovZikosTERL777jvCwsIIDAykoKCA9evX8/TTT/Puu+/Spk0b\nR4coNjRpAlOmGFt+bdxoTCUfNgx+9zsYPx6eegquuAtU5LqoyBYRkWuqzq0vtm7F6dOnD3v37iUt\nLY2LFy/i6+vL4MGDGTt2rKaLi1yDmxtERFxfH13Bvvkee+wxgoODLTN4wMh9UVFRfPDBB8yaNcuB\n0cm1uLkZxfWwYZCeDkuWGNPJ//pX+NOf4OmnYcAAsLHJhkilVGSLiMg1VefWlxkzZjBjxgyrtqio\nKKKiomo7PBERh7G1bo6/vz9t2rSpsJuNOLcuXWDxYnjzTUhMNAruRx4BX194/HEYMwbuvdfYJkyk\nKloWQ0RERETEzk6dOlVhTQqpG5o0gf/3/+Crr2D/foiKgvXr4b77oH17eOUVyMpydJTizFRki4iI\niIjY0bZt2zh58iR9+vRxdChSQ3/4A8ybB7m58OmnxloJb70FISHQoQO8/DLs2wdms6MjFWeiIltE\nRERExE5yc3P5xz/+QYcOHejXr5+jwxE7cXODvn1hxQr47TfjynaXLsZWYHffDUFBxsr+e/ZAWZmj\noxVH0z3ZIiIiIiJ2UFBQwIsvvkjTpk155ZVXKiwGaUt0dHSFaeWjRo1i1KhRtRWm1JCnp3Gv9iOP\nQEkJ7NgB//u/kJAAf/+7sU3YQw8ZC6f16wf/3nBDnExiYiKJiYlWbYWFhXY5t4psEREREZEaOn/+\nPDNmzOD8+fO8/fbb+Pj4VKtfXFwcXbp0qeXopLZ4eBgF9UMPwTvvwL/+BZ98YvysWWMcc889RsH9\n0EPGwmkeHo6NWQy2vsxKT0/nnnvuqfG5XarIPnfuHIsXL2bPnj1cvHiR0NBQJk6cSPv27avV/+TJ\nkyxcuJC0tDTMZjOdO3dm8uTJtGrVqsKxe/bsYdWqVfz888/cdttt9O/fn8jISKvtGwBKS0srbHsz\nfvz4Kt+8srIyxo8fT25uLs888wyPPfbY9b0QIiIiInLTlJSUMGvWLI4ePcrf//53WmuD5VuSmxv0\n6GH8vPqqMa18yxaj4H73XWNbME9P6NkT+vQxfrp21fZgrshlimyz2czMmTP58ccfefzxx/Hy8mLj\nxo1ER0cTHx+Pv79/lf2LioqIjo7mwoULREZGUq9ePdauXUt0dDRLly6ladOmlmP/9a9/8fLLL3P3\n3Xfz3HPP8eOPP7J69WpOnz7N1KlTrc4bGxvLrl27ePTRR/H39yc5OZmZM2cSFxdHhw4dbMaybt06\nTpw4Ua0pRiIiIiLiOJcvX2b27NlkZmby17/+ldDQUEeHJE6iRQsYO9b4KSszFkhLSTF+YmMhJgYa\nN4b77zcK7l69oE0bbRFWlSZN4IqyzGm5TJG9Y8cOMjIymD17Nr169QIgPDycyMhIVq5cSUxMTJX9\nN2zYwLFjx1i0aBF33nknAN27dycqKoqkpCTGjx9vOXbRokUEBQUxb9486tUz1o5r1KgR77//PsOH\nD+f2228HIDMzk5SUFCZOnMiIESMAiIiIICoqivj4eBYsWFAhjlOnTrF69WqeeOIJVqxYUfMXRkRE\nRERqzbvvvssXX3xBjx49KCwsZNu2bVaPR0REOCgycSZubsa08XvuMRZIu3QJ0tKM+7lTUowr3+fP\nOzpK59e4MeTlGTMCnJnLFNmpqan4+PhYCmwAb29vwsPD2b59O5cuXaJ+/cqHm5qaSnBwsKXABmjd\nujVdunRhx44dliL7559/Jjc3l6lTp1oKbIAhQ4aQkJDAzp07GTNmDAA7d+7Ezc2NQYMGWY7z8PBg\nwIABLF++nLy8PPz8/KziWLJkCXfccQcPPvigimwRERERJ3f48GFMJhNffPEFX3zxRYXHVWSLLfXr\nG/dn33svzJhhFN379xtTzMW2PXvg9dfh4kUV2TdNTk6OzXuvQ0JC+Pjjjzly5Aht27a12ddsNvPD\nDz8wYMAAm/3T0tIoKirC09OTQ4cOYTKZCA4OtjrO19cXPz8/cnJyLG2HDx8mICAAz6v+FYSEhFhi\nvrLIzszMZOvWrSxcuLD6AxcRERERh4mLi3N0COIC6tc3rnJL5S5edHQE1ecy+2Tn5+fj6+tbob28\nLT8/v9K+Z86cobS0tFr9CwoKAGyuGOnj48PJkyerFZPZbK4Q09tvv80DDzyge3lERERERETqKKe8\nkm02myktLa3WsR7/XgO/uLgYdxtL83l4eGA2mykuLq70HCUlJQCV9i8//5V/ethYe9/Dw4OioiLL\n36uK6cpzAXzyySf89NNPvPrqq5XGKSIiIiIiIs7NKYvs/fv388ILL1zzOJPJxMqVK7n99ttp0KCB\nzcK8pKQEk8lEgwYNKj1PedFbWX/A0r/8z/L2q4+9sviuKqYrz3XhwgWWLVvG448/TvPmzSuNU0TE\nUW5kO8JyNd1eUUTE2dUkR4qI63HKIrt169bMmDGjWseWT8f29fW1OSW8vM3WtO1yXl5euLu7V6t/\n+TTxgoKCCouWFRQUWE319vX1tZo+Xtk516xZw6VLl+jTpw/Hjx8HIC8vDzA+nB4/fpzmzZtXuXBb\ndHQ03t7eVm22NlgXEftKTEwkMTHRqq2wsNBB0dSeG9mOEGq+vaKISF1wozlSRFyTUxbZPj4+9OvX\n77r6BAUFcfDgwQrtGRkZNGjQwLKtli0mk4nAwECysrIqPJaZmUmrVq0si5e1a9cOs9lMVlaW1eJn\n+fn55OXlMXjwYKuY9u3bZ1k07cqYTCYT7dq1A4yC+ty5c4wbN65CXAkJCbz//vssWbKEoKCgSscQ\nFxdHly5dKn1cRGqHrS+z0tPTXerqxY1sR1iuptsriog4u5rkSBFxTS6z8FlYWBinTp0iNTXV0lZY\nWEhqaio9evSwugp84sQJcnNzrfr37t2brKwssrOzLW25ubl88803hIeHW9ratGlD69at2bx5M2az\n2dK+ceNGTCYTvXv3toqprKyMTZs2WdpKS0vZsmULoaGhlivhw4cPZ86cObz66quWn//+7//GbDbT\nv39/Xn31VVq1alXzF0lE5AZUtR1hRkaGZeaNLVVtr7hnzx4uXbpUq7GLiNS2muRIEXFNTnkl+0aE\nhYWxbt065s2bx08//YS3tzcbN27k8uXLFa4Qv/766xw4cIDPPvvM0vbII4/w8ccfM3PmTEaOHImb\nmxtr167F19fX8q1kuQkTJvDSSy8xbdo0+vbtyw8//MCGDRsYNGgQrVu3thwXGhpKWFgYy5Yt49Sp\nU5bpQ7/99hvTp0+3HNeuXTvLVe1y5dPG27RpQ48ePez1MomIXLfr3Y7wSjXZXlFEpC6oSY4UEdfk\nMkV2vXr1iI2NZfHixaxfv57i4mJCQkJ48cUXCQgIsDrWZDJhMpms2jw9PZk/fz7vvPMOCQkJmM1m\nOnfuzKRJkyrc63zfffcxZ84cVq1axYIFC2jWrBmRkZFERkZWiGvWrFkVFsKYO3cuHTt2vOaYro5R\nRMQRrnc7wqv7durUyWbf8sdVZItIXVaTHCkirsllimyAJk2aMG3aNKZN29hfTwAAIABJREFUm1bl\ncXFxcTbbmzdvzl/+8pdqPVfPnj3p2bPnNY9zd3dnwoQJTJgwoVrnLdeyZUs+/fTT6+pzpcTERJdd\n9Exjq5tcdWyuOq4rXc92hNfT91rbK1bFVV93Vx0XaGw30+bN0K2bfc6Vn5+Ir+9/xnb+vH3O60pq\nkiNtcbZ/T/aksdU9zjiuvn2hivWgq+3q/Ab2y3EuVWTLfzjjL4S9aGx1k6uOzVXHdaXqbkd4vX2v\ntb1iOVu7Jxw9etQlX3dX/veksd0cL7wAycn2OVdOTiLffRfN5cv/2UGhuNj1dk+oqZrkSKiY4778\n8ksAp/k3ZU/O9Ltib646NmcaV69e8NxzcIPfz1ewbt2bVvkN7JfjVGSLiEiVqrsdYWV9b3R7xXK2\ndk94+OGHr9lP5Fb0yCPGj32M4uGHE/noo48sLa62e4I91CRHQsUc9/DDDztNUSPiTPz84B//sN/5\njh3zt8pvYL8c5zKri4uISO0ICgril19+oaioyKr96u0IK+t76NChCu3V2V5RRKQuqEmOFBHXpCJb\nRESqVN3tCAsKCsjNzaWsrMyqb3W3VxQRqYuqmyNF5NahTzd1XPn9PpmZmVbthYWFpKenOyKkWqex\n1U2uOjZb4yr/fSz//azrqrsd4ZIlS9i6dSuJiYm0aNECuL7tFa9WWX6DW+vfk6vQ2Oqmq8fmavnN\nHqqbI6+mz3CuxVXH5qrjgtr9DGdKSUkx1+gM4lDbt2/ntddec3QYImJDTEwMDz74oKPDsIvS0tIK\n2xGOHz/e6r6lN954g61bt/LBBx9YimyAc+fOsXjxYvbs2WPZXnHixIk298++kvKbiPNypfxmD9XJ\nkVdTjhNxXjXNcSqy67jTp0/z9ddf07JlS8tWESLiWCUlJRw/fpyuXbvSrFkzR4dTZym/iTgf5Tf7\nUY4TcT72ynEqskVERERERETsRAufiYiIiIiIiNiJimwRERERERERO1GRLSIiIiIiImInKrJFRERE\nRERE7ET7ZLuAgoIC1q5dy/fff09WVhZFRUXExcXRqVOnap/j5MmTLFy4kLS0NMxmM507d2by5Mm0\natWqFiOvniu3/7l48SKhoaHV2v4HYNWqVaxatapCu4eHB8nJybURbgU3sq1HuZqMvbbd6LiSk5OZ\nN29ehXaTycTatWu57bbbaivkaisqKmLNmjV8//33fP/995w9e5YZM2bQr1+/avV35vetrlF+q5zy\nW+1y1Ryn/OZcXDnH1fX8Bq6b41w1v4Hz5DgV2S4gNzeXf/7zn/j7+xMYGEhGRsZ19S8qKiI6OpoL\nFy4QGRlJvXr1WLt2LdHR0SxdupSmTZvWUuTXZjabmTlzJj/++COPP/44Xl5ebNy4kejoaOLj4/H3\n97/mOUwmE9HR0TRs2NDSVq/ezZvEERsby65du3j00Ufx9/cnOTmZmTNnEhcXR4cOHSrtZ4+x16Yb\nHRcY78mTTz5Jy5YtrdqbNGlSmyFXW2FhIatXr6ZFixYEBQWxf//+avd19vetrlF+q5ryW+1x1Ryn\n/OZcXDXHuUJ+A9fNca6a38B5cpyKbBcQHBzMxo0badKkCTt37mTOnDnX1X/Dhg0cO3aMRYsWceed\ndwLQvXt3oqKiSEpKYvz48bURdrXs2LGDjIwMZs+eTa9evQAIDw8nMjKSlStXEhMTU63z9O7dGy8v\nr9oM1abMzExSUlKYOHEiI0aMACAiIoKoqCji4+NZsGBBpX3tNfbaUJNxlevevbvl35uzad68OevW\nreO2224jKyuLiRMnVruvM79vdZHy27Upv9mfK+c45Tfn4qo5rq7nN3DdHOfK+Q2cJ8fpnmwX4Onp\nWaNvj1JTUwkODrb6ZWndujVdunRhx44ddojwxqWmpuLj42P5hw7g7e1NeHg4e/bs4dKlS9U6j9ls\n5sKFC7UVZqV27tyJm5sbgwYNsrR5eHgwYMAAMjIyyMvLq7SvvcZeG2oyrisVFRVx+fLl2grzhtWv\nX/+Gpzw58/tWFym/XZvym/25co5TfnMurprj6np+A9fNca6c38B5cpyK7Fuc2Wzmhx9+IDg4uMJj\nISEhHDt2jKKiIgdEZsjJybF5D0RISAjFxcUcOXLkmucwm8088cQTDBo0iAEDBvD6669z6tSp2gi3\ngsOHDxMQEICnp6dVe0hICGCMrzL2GHttqcm4wHhPoqOjGThwIP379ycmJoajR4/WWrw3kzO/b7ca\n5bfa5ar5DZTjKuPs79utxplzXF3Pb+C6OU75rXL2fN80XfwWd+bMGUpLS/H19a3wWHlbfn4+AQEB\nNzs0y3PbWvzjytjatm1baf8mTZowdOhQ7rrrLtzd3Tlw4AAbNmzg+++/Jz4+vkKCsbf8/PxKX1uz\n2Ux+fn6VfWsy9tpUk3E1bNiQ/v37c/fdd9OoUSOys7NJSkpiypQpxMfH4+fnV5uh1zpnft9uNcpv\nym83SjnONmd/3241zpzj6np+K4/RFXOc8lvl7Pm+qch2MmazmdLS0mod6+HhUePnKykpAcDd3b3S\n8xcXF9f4eeDGxlZcXFxpbGaz+ZqxDR8+3OrvvXr1IiQkhNdee40NGzYwatSoakZ/Y6qKv/zxG+lb\nnbHXppqMKzw8nPDwcMvfe/bsSdeuXZk6dSoJCQlER0fbPd6byZnfN0dTfqv43MpvFfs6w++Jcpxt\nzv6+OZqr5rhbMb+B6+Y45bfK2fN9U5HtZPbv388LL7xwzeNMJhMrV67k9ttvr9Hzlf9C2Uqe5cm7\nQYMGNXqOcjcytgYNGlQam8lkuqHYHnjgARYtWkR6enqtJ+mq4i9//Eb63ujY7aUm47KlY8eOhIaG\nkp6ebpf4HMmZ3zdHU35TfqtOX2f4PVGOs83Z3zdHc9UcdyvmN3DdHKf8Vjl7vm8qsp1M69atmTFj\nRrWOtTXV43p5eXnh7u5uc2pIeZs9ngdubGy+vr61Epufnx9nzpy5ob7Xw9fXl5MnT1Zor078tTV2\ne6jJuCrj5+fnEvfzOfP75mjKb1g9p/Kb8/6eKMfZ5uzvm6O5ao67FfMbuG6OU36rnD3fNxXZTsbH\nx6fam6Xbg8lkIjAwkKysrAqPZWZm0qpVK7vd93IjYwsKCuLgwYMV2jMyMmjQoMENfwv822+/Xfem\n8jciKCiIffv2UVRUZPU6ZmRkYDKZaNeuXZV9a2Ps9lCTcVXm119/pVmzZvYM0yGc+X1zNOU3a8pv\nzvt7ohxnm7O/b47mqjnuVsxv4Lo5TvmtcvZ837S6+C3mxIkT5ObmWrX17t2brKwssrOzLW25ubl8\n8803VvddOEJYWBinTp0iNTXV0lZYWEhqaio9evSgfv3/fE9ka2yFhYUVzrlhwwZOnz5N9+7day/w\nfwsLC6OsrIxNmzZZ2kpLS9myZQuhoaGWBSIKCgrIzc2lrKzMqm91x36z1WRctt6TvXv3kp2dfVPe\nE3uqa++bq1N+U36zF+W4uvm+ubq6lOPqen4D181xym+G2n7flA1dxOrVqzGZTPz444+YzWa2bt3K\nt99+C8CYMWMsx73++uscOHCAzz77zNL2yCOP8PHHHzNz5kxGjhyJm5sba9euxdfX17JJvaOEhYWx\nbt065s2bx08//YS3tzcbN27k8uXLjBs3zupYW2N7/PHHCQ8PJzAwEA8PDw4cOMCOHTto3749gwcP\nrvX4Q0NDCQsLY9myZZw6dQp/f3+Sk5P57bffmD59uuW4JUuWsHXrVhITE2nRosV1j/1mq8m4nn32\nWdq1a0dwcDCNGzcmOzub5ORkWrRowejRox01pArWr1/P+fPnLftFfv7555b/HjZsGI0aNapz71td\npfym/HazuXqOU35zLq6Y4+p6fgPXzXGunt/AOXKcimwX8d5772EymQBj+lBycrLlsSsTtMlkshxX\nztPTk/nz5/POO++QkJCA2Wymc+fOTJo0CW9v75szgErUq1eP2NhYFi9ezPr16ykuLiYkJIQXX3yx\nwpYUtsb24IMP8t1337Fr1y5KSkpo2bIlo0aNYvTo0XZZ2bM6Zs2axYoVK9i+fTtnz54lMDCQuXPn\n0rFjxypjv56xO8KNjqtPnz7s3buXtLQ0Ll68iK+vL4MHD2bs2LFONdUoKSmJEydOAMY4du/eze7d\nuwGIiIigUaNGdfJ9q4uU35TfHMGVc5zym3NxxRznCvkNXDfHuXJ+A+fIcaaUlBSzfYYjIiIiIiIi\ncmvTPdkiIiIiIiIidqIiW0RERERERMROVGSLiIiIiIiI2ImKbBERERERERE7UZEtIiIiIiIiYicq\nskVERERERETsREW2iIiIiIiIiJ2oyBYRERERERGxExXZIiIiIiIiInaiIltERERERETETlRki4iI\niIiIiNiJimwRERERERERO1GRLeJEPvroI0pLSx0dhoiI3Sm/iYgrU46TK5lSUlLMjg5CRODbb78l\nMzMTNzc3ysrK6Nu3L82bN3d0WCIiNab8JiKuTDlOrlbf0QGICCQnJ7N+/XoWL16MyWRydDgiInaj\n/CYirkw5TmzRdHERB7tw4QL/+Mc/GDlypJKziLgU5TcRcWXKcVIZFdkiDnbkyBFKSkoIDAx0dCgi\nInal/CYirkw5TiqjIlvEwe644w5atmxJYWGho0MREbEr5TcRcWXKcVIZt3Hjxr3i6CBEbmX169cn\nLy+PixcvkpmZyeHDhwkICMDDw8PRoYmI1Ijym4i4MuU4qYwWPhNxsA8++IDw8HBCQkIcHYqIiF0p\nv4mIK1OOk8pouriIAx05coTz588rOYuIy1F+ExFXphwnVVGRLeJA27Zto2PHjo4OQ0TE7pTfRMSV\nKcdJVVRkizjQuXPn2Lt3r6PDEBGxO+U3EXFlynFSFS18JuJAjRo14u233+bAgQM0b96c3/3ud44O\nSUTELpTfRMSVKcdJVVRkizhQixYtCAkJITU1lbVr17Jjxw68vLxo27ato0MTEakR5TcRcWXKcVIV\nU0pKitnRQYgIfPXVV6xbt46vvvqKv//973Tu3NnRIYmI2IXym4i4MuU4uZruyRZxApcvX6Zr167E\nxsbSrVs3R4cjImI3ym8i4sqU48QW7ZMt4gTOnDlDUlISjRo1IiAgQN+AiojLUH4TEVemHCe2aLq4\niIiIiIiIiJ1ouriIiIiIiIiInajIFhEREREREbETFdkiIiIiIiIidqIiW0RERERERMROVGSLiIiI\niIiI2ImKbBERERERERE7UZEtIiIiIiIiYicqskVERERERETsREW2iIiIiIiIiJ2oyBYRERERERGx\nExXZIiIiIiIiInaiIltERERERETETlRki4iIiIiIiNiJimwRERERERERO1GRLSIiIiIiImInKrJF\nRERERERE7ERFtoiIiIiIiIidqMgWERERERERsZP6jg5ARETqnoSEBFasWEHbtm1Zvnx5lccmJycz\nb968Cu0mk4m1a9dy22231VaYIiIiIjedimwREbkueXl5vP/++3h6ela7j8lk4sknn6Rly5ZW7U2a\nNLF3eCIiIiIOpSJbRESuy6JFi7jrrrsoKyvjzJkz1e7XvXt37rzzzlqMTERERMTxdE+2iIhU2/79\n+9m1axeTJ0++of5FRUVcvnzZzlGJiIiIOA9dyRYRkWq5fPkyCxYsYODAgbRt2/a6+prNZqKjoykq\nKqJ+/fp069aNSZMm4e/vX0vRioiIiDiGimwREamWjRs3cuLECaKioq6rX8OGDenfvz933303jRo1\nIjs7m6SkJKZMmUJ8fDx+fn61FLGIiIjIzaciu447ffo0X3/9NS1btsTDw8PR4YgIUFJSwvHjx+na\ntSvNmjVzdDh2cebMGVauXMnYsWPx8vK6rr7h4eGEh4db/t6zZ0+6du3K1KlTSUhIIDo62mY/5TcR\n5+OK+c1RlONEnI+9cpyK7Dru66+/5rXXXnN0GCJiQ0xMDA8++KCjw7CL5cuX4+3tzdChQ+1yvo4d\nOxIaGkp6enqlxyi/iTgvV8pvAKWlpaxYsYLt27dz9uxZAgMDGT9+PPfcc0+V/aKjo9m/f7/Nx+rX\nr8/WrVsr7ascJ+K8aprjVGTXceXb4SQkJBAaGmppj46OJi4uzlFh1SqNrW5y1bHZGldmZiZjxoyp\nsF1VXXX06FE2b97Ms88+S15enqW9pKSES5cucfz4cRo3bkzTpk2v67x+fn4cOXKk0scry29wa/17\nchUaW9109dhcLb+Vi42NZdeuXTz66KP4+/uTnJzMzJkziYuLo0OHDpX2GzNmDAMHDrRqu3jxIm+9\n9RbdunWr8jn1Gc61uOrYXHVcULuf4VRk13Hl04tCQ0Pp0qWLpd3b29vq765EY6ubXHVsVY3LVab/\nlRfWCxcuZMGCBRUeHz16NMOGDbvuFcd//fXXKqdiVZbf4Nb891TXaWx1U2Vjc5X8BsaH6pSUFCZO\nnMiIESMAiIiIICoqivj4eJt5r5ytK93btm0D4IEHHqjyefUZzrW46thcdVxQu5/hVGSLiEiV2rZt\ny5w5cyq0L1++nKKiIqZMmUKrVq0AKCgo4Ny5c/j7++Pm5gZAYWEh3t7eVn337t1LdnY2w4cPr/0B\niIhUYefOnbi5uTFo0CBLm4eHBwMGDGD58uXk5eVd1wKNn376KZ6envTs2bM2whWROkBFtoiL+e47\n+Oc/HR1FRd9/Dy+/7OgoDE2bwtSp4O7u6EjqBm9vb5sfFv9/9u49Lqpqffz4ZwBBEUVFowItgZQp\ntTQvpRlokYaaZWqaUokpoVlyMkE9XbSL5tEo9ah4y9IiSSKjFIxvKl6rIz/tGIJpeiCPF24i4IAI\n8/tjxxyB4T7D3J736zWvcM3ee57dDIt59l7rWdu3b0elUjFw4EBd27p169i9ezfR0dG4u7sD8PLL\nL+Pj40P37t1p3bo1p06dIiEhAXd3dyZNmlTn669ZA3/l8Dqm+jzZ28PUqeDp2fyvLYQwjjNnzuDp\n6UmrVq0qtfv6+gJw+vTpeifZ+fn5HD16lKFDh+Lk5FSvfar2cab8e+niAnffDffcA3fcAXZ2polD\nCEsnSbYBaTQavvzyS9LS0khLS6OgoIDw8HCGDRvW4GMtW7aMnTt38uCDD0pRDFFv16/D6NGQnQ0N\nLABtdFlZsHmzqaNQ/h9dugQBAXDffaaOxvqoVCpUKlWltiFDhnDkyBGOHj1KcXExbm5ujBo1iuee\ne65elTvj46HqqC1TfZ4yM+H77+HQIXCQv6BCWIWcnBzc3Nyqtbu5uaHVasnJyan3sX788UfKy8sb\nVDCpah9nyr+XeXlQWKj83Lo1qNVKwn3zo0sXqNLNCyGqkK8IBpSfn8+WLVtwd3fH29u7xmqTdUlP\nTycxMbHeV0D1mThxYqP3NXdybjVbvx7OnoXjx6GWOi0mER09EXN461JS4P77Qas1zPGs+fNYF32F\nUMLDwwkPD6/UFhwc3OC1tW+2cydUnTJlqs/TTz/BwIGwdCnMn2/441vz50nOzTJZ87lVKCkpoYWe\noU0VczJLSkrqfaz/+7//w9XVtc6q5Der2seZ8u+lVqtcTPztt8qP7duhqEjZpuJut68vdOsG3bsr\n//XxAWfn2o9vzZ8naz03az0vMO65SZJtQB07diQ2Npb27duTnp5OaGhoo46zcuVKhg0bxtGjRxsd\ni/xCWKamnFtBASxaBM8/b34JNljv+2at52XuTPX/fcAACA+Ht9+GkSOhVy/DHt+aP09ybpbJms+t\ngpOTE6WlpdXar1+/rnu+Pi5cuEBqaipjxozBrgnjrE35/1ylUu5Ud+kCjz/+v/bycsjI+F/SnZoK\n6enKXfi8vP9t16WLknDfnHx366YMPbe3t+7Pk7Wem7WeF0iSbTEcHBxo3759k46RmJjIuXPneOed\nd5qUZAvb8+GHkJ8PCxeaOhJhC7Zu3cqmTZvo2rUrGzdurHP7wsJC1q5dy8GDBykuLkatVhMaGspd\nd93VDNEa1ltvwbffKhe0fvqp+lB2IYRlcXNzIzs7u1p7xTBxfUPJ9UlKSkKlUtVZVbyqsLCwasUh\nJ06caFbJjZ0d3Hmn8qiyYhk5OUrCfeqU8khPh+Rk2LgRKgYBODoqd7q9vas/7rxT+lFhGtHR0URH\nR1dqy8/PN8ixJck2IxqNhvXr1zN58uQmJ+vCtly6BMuWwSuvQOfOpo5GWLusrCw+//zzakWCaqLV\naomIiODs2bNMmDCBtm3bsmPHDsLCwoiKisLDw8PIERuWkxN89hk88ADMmwfLl5s6IiFEU3h7e3Ps\n2DE0Gk2lfi01NRWVSoWPj0+9jvN///d/3H777ZXWvK6PyMhIi14iyc1NmUZzUw1MAMrKlKHnNyff\nZ84ow+PPnoWKwQN2dsodcH0JuLe3UqxUCGPQdzErJSWlQdM9aiJJthn59NNPcXJyYuzYsaYORViY\nd95RijBFRJg6EmEL1qxZwz333ENZWRlXr16tc/u9e/eSmprKwoULGTx4MAD+/v4EBQWxefNmFixY\nYOyQDa5PH/jgA/jb38DfH0aNMnVEQojG8vPzIyYmhvj4eMaPHw9AaWkpiYmJqNVqXWVxfUsUVjh9\n+jQZGRk8//zzzR6/ubK3/9/d78ceq/xcWRn8+aeSdN/8+PlniI5WpsBV6NRJSbb13Qm/5RYpwibM\nkyTZZiIzM5Ovv/6aN998EwcpWSsaIC0N1q6F99+HDh1MHY2wdsePH2f//v2sW7eOFStW1Guf5ORk\nOnTooEuwQVkWzN/fn6SkJG7cuGGR/d7s2bB3L7zwAhw7JqNIhLBUarUaPz8/NmzYQF5eHh4eHiQk\nJHDp0iXmzp2r207fEoUVfvjhh0YNFbdV9vbKPO077oChQys/p9Uqq6RUTcDPnIGkJLh48X/btm4N\nXl6VE++Kf99xhyzVKUzH8r7VWKlVq1bRo0cPHnrooUbtbwnzeYRxzJmjDLN69VVTR2KbjDmfx9yU\nl5ezcuVKRowYQdeuXeu93+nTp/XOvfb19eX7778nMzOzQcczFyoVfPKJshTchAmwZ4/MKxTCUs2f\nP59NmzaRlJREQUEBXl5eLF68mJ49e+q20bdEIShTYvbs2UO3bt3w9PRszrCtkkql3L3u1EmZllNV\nURH88Uf1BHzHDjh3Dm7cULazt1e+H9WUhJvbUqfCukiSbQZSUlL45ZdfWLRoERdvujxXVlZGSUkJ\nFy9epG3btjjXsi6Cpc/nEY3zww/Kmr1ffaXMExXNz5jzeczNjh07uHz5coOX48rJyeHee++t1l5R\nTCgnJ8cik2xQRo/ExICfH8yYoSyjJ0MXhbA8LVq0ICQkhJCQkBq30bdEISjJd0xMjDHDEzdp3Rp6\n9lQeVd24ocwDP3OmciKubxh6x47VE++Kx623KnPFhWgsSbLNwOXLl1GpVLz55puV2lUqFdnZ2Uya\nNIkZM2bw9NNPmyhCYY7KypT5oA89BPLREMZ29epVNm/ezHPPPUfbBl7+r20NWq1W26A1aM3RAw/A\nunXKsPFevZQChEIIIZqfgwN07ao8qtJqlUroN9/9rkjE9+6F//73f9u2bFk58b755zvvlBsbom6S\nZJtA1cIZ999/P4sWLaq23fLly3F3dycoKMhi7/II49m4EU6cUK7Oyp0zYWwbN27E1dWVp556qsH7\n1rYGrUqlqvcatObs+efh3/+GsDBQqyEgwNQRCSEaorS0tNpw8alTp9Z7VNLRo0f5/PPPOXXqFFqt\nFk9PTyZOnIi/v79xAxf1plIpd687doQBA6o/f+2aMty8ahK+a5dSDf2vZdNRqcDTU/8QdG9vkAWC\nBEiSbXBxcXEUFRWRlZUFwKFDh3Q/jxkzBmdn52qFMzp16qSrXHmzVatW0aFDBwZWXRNB2LyrV+GN\nNyAoCPr1M3U0wtqdP3+e7777jpdfflnXn4GSJN+4cYOLFy/SunVr2tSwzoqbm5tuvdmb1XcNWkup\nOfHBB/DbbzBunLJGbK9epo5IiKaxpZoTS5YsYf/+/YwdO1ZX+CwiIoLIyEh69OhR6767du1i2bJl\n9O3bl2nTpmFnZ0dmZiaXL19upuiFITg7w913K4+qysrg/Pnqc8GPH4evv4a8vP9t27595aS7Wzfl\n0b27styZsA2SZBtYTEyMrlNVqVQcOHCAAwcOABAQEICzs3ONhTOqqs82wja9/74yr+j9900dibAF\nFYn1qlWrWLlyZbXnJ02axJgxY5g5c6be/b29vTlx4kS19tTUVJycnOhcR1luS6k5YW8P27YpS3oN\nHw6HDinDCoWwVLZSc+LkyZPs2bOH0NBQxo0bByjf2YKDg4mKitLb71W4ePEiK1asqLUPFJavooha\nly5KH19VXl71IehnzsDhw8oc8QodOijJdkXSXfFfHx9liLqwHpJkG1jVK7761FQ4o6ovvvjCECEJ\nK/PHHxAZCfPmKcOVhDC2rl276p3SsnHjRjQaDbNmzeK2224D9K8j6+fnx/79+0lOTubhhx8GlLth\nycnJDBw40CKX76pJ27awcycMGgTDhsHBg8rQRCGE+dq3bx/29vaMHDlS1+bo6EhgYCAbN24kKytL\n74hDgG+//Zby8nKmTJkCgEajoVWrVs0StzAf7dtD377Ko6pr1+D0aUhPh1OnlP+mpSnV0K9cUbZR\nqZQEvuJut63cZ1OpYNYs/cP3LZ31fLMRwkbMng3u7vD666aORNgKV1dXBg0aVK19+/btqFSqSlNa\n9K0j6+fnR2xsLEuXLuXcuXO4urqyY8cOysvLeeGFF5rrNJrNrbdCYqKSaAcGKuu6ylIxQpivM2fO\n4OnpWS059vX1BZRlCGtKslNSUujSpQtHjhxh7dq1ZGdn06ZNG0aPHs2UKVNkVKLA2VmZPlR1ClHF\neuA3J9/p6XDhgmniNIUjR+D22yXJFkKY2HffQXy8smRX69amjkaI6vRNh7Gzs2PJkiWsXbuWuLg4\nSkpK8PX1Zd68eVa7pqyPj1Is55FHlKHjCQmSaAthrnJycvTWhnCnMpycAAAgAElEQVRzc0Or1eqt\nKVHhzz//xN7enqVLlzJx4kS8vLzYv38/W7dupby8nBdffNGYoQsLdvN64A89ZOpoTKN7d1NHYDyS\nZAthIYqL4dVXlarFsmSXMAeRkZHV2mqaDuPi4sKcOXOYM2dOc4RmFvr0gd27ld/Zxx9XEu0aasMJ\nIUyotmUGK56viUajAWD69Ok888wzAAwePJirV68SGxvLpEmTZPi4EDZIkmwhLMTSpUrxjJ07bWeu\njhCWrl+//yXaFXe0JdEWwrzUtsxgxfO17VtSUsLQoUMrtQ8dOpRffvmF06dP07Nnz1pf31JWUBDC\n2hhzBQVJsoWwAGfPwuLF8Le/WffQGiGsUf/+8MMPSqI9dKhyoayG6Z1CCBNwc3MjOzu7Wnt9lhns\n2LEj58+fp32VxZHbtWuHVquloKCgzte3lBUUhLA2xlxBQZJsISxAWJhSofjvfzd1JMIWnTt3js2b\nN/P777+Tm5uLk5MTd9xxBxMmTODBBx+sdd+EhASWLl1arV2lUrF9+/ZqX0ytVf/+sHevcjd78GDl\n7naXLqaOSggByjKDx44dq1YZPDU1FZVKhY+PT4373nXXXZw/f57s7GxuvfVWXXt2djYqlYp27doZ\nNXYhhHmSJFsIM7drl7LMw7Zt4OJi6miELbp06RLFxcUMGzYMNzc3SkpKSE5OZsGCBbz22muMGDGi\n1v1VKhVTpkyp9AUUlHnatqR3b2VJr8ceg4EDlUT77rtNHZUQws/Pj5iYGOLj4xk/fjwApaWlJCYm\nolardZXF9S1ROGTIEPbs2cPOnTsJDg4GQKvVkpCQQJs2bejWrZtpTkoIYVKSZAthxjQaZf3AoUNh\n3DhTRyNs1YABAxhQZX2Np556iunTp/PVV1/VmWQD9O/fX75solQdP3hQWUP7oYdg+3bl91sIYTpq\ntRo/Pz82bNhAXl4eHh4eJCQkcOnSJebOnavbTt8ShQ899BB9+vTh888/58qVK3h7e3PgwAF+++03\n/va3v+HgIF+1hbBFdqYOQAhRs3ffVYqd/fOfUuxMmBeVSsUtt9xCYWFhvffRaDSUl5cbMSrLcNtt\nkJwMffsqyfa6daaOSAgxf/58nn76aZKSkli1ahXl5eUsXry4UtEyfUsUArz77ruMGTOGw4cPs3r1\navLy8liwYEG9LkAKIayTXF4Twkz9+qtSUfyNN8DX19TRCAHFxcWUlJRQVFTEwYMH+emnn6pV1NVH\nq9USFhaGRqPBwcGBfv36MWPGDDw8PJohavPUrp1SAO3VVyEkBE6ehGXL4K8RqEKIZtaiRQtCQkII\nCQmpcZualihs2bIlM2fOZObMmcYMUQhhQSTJNiCNRsOXX35JWloaaWlpFBQUEB4ezrBhw+rc99df\nf2Xbtm2cPn2aK1eu4OLigo+PD0FBQfTo0aMZohfmpKwMpk+Hbt0gIsLU0QihWLNmDfHx8YByR+fh\nhx/mlVdeqXWfli1bMnz4cHr37o2zszOnTp0iJiaGWbNmERUVpZvraIscHJRRKnffrSTbaWmwdSvU\nUshYCGEkpaWlbNq0iaSkJAoKCvDy8mLq1Kl1VhmW4o5CCH0kyTag/Px8tmzZgru7O97e3hw/frze\n+2ZmZmJvb88TTzxBhw4dKCgoICkpiVdffZUlS5bQr18/I0YuzM2aNfDTT3DgADg6mjoaIRRjx47F\nz8+PnJwc9u7dS3l5ud61ZW/m7++Pv7+/7t+DBg2ib9++zJ49m61btxIWFmbkqM3fzJnKBbWJE6FP\nH2WetnT5QjSvJUuWsH//fsaOHaubkx0REUFkZGSdNzukuKMQoipJsg2oY8eOxMbG0r59e9LT0wkN\nDa33viNGjKg2d2f06NE8++yzxMbGSpJtQzIzYd48eOklGDTI1NEI8T+dO3emc+fOAAQEBPD666+z\nYMECVq9e3aDj9OzZE7VaTUpKSr22DwsLw9XVtVKbvrUtLVlAAKSkwPjxSkG0yEgIDZVaDMK0oqOj\niY6OrtSWn59vomiM5+TJk+zZs4fQ0FDG/VVlNCAggODgYKKioli5cmWdx5DijkKIm0mSbUAODg4G\nHRbk5OREu3btGlRYSFg2rRZefhnatIHFi00djRC18/PzIzIykj///BNPT88G7dupUycyMzPrtW1k\nZCR9+vRpTIgWpUsXpSDaa68pd7cPHFBGtVS5viBEs9F3MSslJaXOIdSWZt++fdjb2zNy5Ehdm6Oj\nI4GBgWzcuJGsrKx6TW3RaDQ4OTlhZyd1hYWoD3t75aLyP/9Z/31uuw1SU81/pKck2Wbm2rVrlJaW\nkp+fT2JiIufOnWPSpEmmDks0k6+/hm+/VYaLtmtn6miEqF1JSQkARUVFDd73woULtJMPeTWOjrBy\npTKKZfp0OHQItmyBwYNNHZkQ1uvMmTN4enrSqlWrSu2+f1UdPX36dK1JthR3FKJxoqLg//2/+m9/\n/Dhs2gRFRZJkiwZauHAhv/zyC6DcGR85ciRBQUEmjko0h9xc5S72E0/AmDGmjkaI/7ly5Uq1hLis\nrIzExEQcHR254447AMjNzaWwsBAPDw/s/yqTnZ+fX22o95EjRzh16hRPP/1085yABZowAQYMgKAg\n8PdXCiC+9Zb5f6kQwhLl5OTgpqfioJubG1qtlpycnBr3leKOQjTe4MENu4j89ddKkm0JJMk2M9On\nT2f8+PFkZWWRmJjIjRs3uHHjBi1atDB1aMLIXn0VNBpYvVrmYQrz8uGHH1JUVESvXr3o2LEjeXl5\nJCUlkZmZSWhoKC1btgRg3bp17N69m+joaNzd3QF4+eWX8fHxoXv37rRu3ZpTp06RkJCAu7u7jNKp\nQ9eusG8ffPCBkmAnJip3tdVqU0cmhHUpKSnR+z3L8a+rWhWjdvSR4o5CCH0kyTYz3t7eup8fffRR\npk+fzgcffMDbb79d6362UBjImu3YoSzds3kzyOgyy2ILhYGGDBnCzp07iY+P5+rVq7Rq1Ypu3boR\nEhLCgw8+qNtOpVKhqnKFaMiQIRw5coSjR49SXFyMm5sbo0aN4rnnnpPh4vVgbw/z58Njj8HkyXDf\nffDGGzB3rtzVFsJQnJyc9K6UcP36dd3zDdHQ4o5CCOsjSbYZc3BwYODAgURHR3P9+nXdFVV9bKUw\nkDXKyYGQEBg5Ep57ztTRiIayhcJAQ4YMYciQIXVuFx4eTnh4eKW24OBggoODjRWazejbV5m3tmgR\nvP02xMTAxo2y1JcQhuDm5kZ2dna19oph4vqGktelIcUd5UaJEKZhzBslkmSbuYohShqNptYkW1iu\nV16BkhKl+IMMExdC1KRVK2XVgfHjYepUeOABCAuDhQuhdWtTRyeE5fL29ubYsWNoNJpKxc9SU1NR\nqVT4+Pg0+JgNKe4oN0qEMA1j3iiRNQZMIDc3l4yMDMrKynRtV65cqbZdYWEhycnJ3HLLLdWucArr\n8M038MUXsGIF3H67qaMRQliC3r3h55/h/feVZU/UamVFAq3W1JEJYZn8/PwoKysjPj5e11ZaWkpi\nYiJqtVpXvEzf9zd9d70qijv279/f+MELIcyS3Mk2sLi4OIqKisjKygLg0KFDup/HjBmDs7Oz3uJA\n4eHhdOrUCbVaTbt27bh06RKJiYnk5OTw1ltvmex8hPHk5MBLL8GoUcpcSyHM1blz59i8eTO///47\nubm5ODk5cccddzBhwoRKc7JrUlhYyNq1azl48CDFxcWo1WpCQ0O56667miF66+TgAOHhMG6ccjd7\n3Dh49FHlgp0URhOiYdRqNX5+fmzYsIG8vDw8PDxISEjg0qVLzJ07V7edFHcUQtSXJNkGFhMTw+XL\nlwGlCNCBAwc4cOAAAAEBATg7O+stDhQYGMiPP/5IbGwshYWFuLi4cM899/DMM8/Qo0ePZj8PYVxa\nrZJgX78uw8SF+bt06RLFxcUMGzYMNzc3SkpKSE5OZsGCBbz22muMGDGixn21Wi0RERGcPXuWCRMm\n0LZtW3bs2EFYWBhRUVGyjmwTeXkphRN37lSmnvTqBbNnK8XR2rY1dXRCWI758+ezadMmkpKSKCgo\nwMvLi8WLF9OzZ0/dNlLcUQhRX5JkG1jVyfP66CsONHr0aEaPHm2ssISZ+fRTZXhnTAzcdpupoxGi\ndgMGDGDAgAGV2p566immT5/OV199VWuSvXfvXlJTU1m4cCGD/1oM09/fn6CgIDZv3syCBQuMGrut\nCAyEoUPhww/h3XeVPubtt2HaNJAVIIWoW4sWLQgJCSEkJKTGbaS4oxCivmROthDN7I8/YNYseP55\nZYinEJZIpVJxyy23UFhYWOt2ycnJdOjQQZdgA7i6uuLv78/Bgwe5ceOGsUO1GS1bKst9nToFI0bA\nyy9Djx4QFyfztYUQQojmJEm2EM3oxg1l/nWnTsrcSSEsSXFxMfn5+fz3v//lq6++4qeffqqzIu7p\n06f1zr329fWlpKSk3kvciPrz9IRPPlGW/OraFcaMgcGD4fBhU0cmhPkqLS0lKiqKcePGMXz4cGbM\nmMHRo0cbfJxly5YxdOhQGaUjhI2TJFuIZvT++/DTT7Bli8yXFJZnzZo1PPXUU0yePJm1a9cyePBg\nXnnllVr3ycnJ0bvGbEVbxTq0wvDuvRcSEmD3bigqgoED4YknlORbCFHZkiVLiI2NJSAggFmzZmFv\nb09ERAQnTpyo9zHS09NJTEzEycnJiJEKISyBJNlCNJOffoJFi2DBAhg0yNTRCNFwY8eOZdmyZcyb\nN48HHniA8vJySktLa92npKSEFnomBTs6OqLVaikpKTFWuOIvAQFw9Chs3QppadCnj3J3+9dfTR2Z\nEObh5MmT7Nmzh2nTpjF9+nRGjBjB8uXLcXd3Jyoqqt7HWblyJcOGDZOCZ0IIKXwmRHMoLFSGid9/\nv1L1VwhL1LlzZzp37gwoqyW8/vrrLFiwgNWrV9e4j5OTk95E/Pr166hUqnrd8QkLC8PV1bVS28SJ\nE5k4cWIDz8B22dnBpEnwzDPw+efKBb9771XqQrz1Ftxzj6kjFOYoOjq6WkFXfetCW7p9+/Zhb2/P\nyJEjdW2Ojo4EBgayceNGsrKydGtl1yQxMZFz587xzjvvNGqYuRDCukiSLUQzePVVuHBBWWZHKv0K\na+Hn50dkZCR//vknnp6eerdxc3PTOyS8ok3fUPKqIiMj65z7LerHwUEpuvjss/DZZ/DOO9Czp3Jn\ne9485UKgEBX0XcxKSUnhfiv7oJw5cwZPT09atWpVqd3X1xdQakvUlmRrNBrWr1/P5MmTad++vVFj\nFUJYBhkuLoSRbd0KmzbBypWgp/6TEBarYqh3UVFRjdt4e3vz+++/V2tPTU3FyclJd2dcNK8WLWDq\nVKUSeVQUHD8OffvCY4/Bnj1SjVzYltpqR2i12jprR3z66ac4OTkxduxYY4UohLAwNpFk//TTT6YO\nQdiotDR46SUICoIXXjB1NEI0zpUrV6q1lZWVkZiYiKOjI3fccQcAubm5ZGRkUFZWptvOz8+PvLw8\nkpOTdW35+fkkJyczcOBAHBxkQJUpOToqa2mnpcGXX0JWlrLe9gMPwDffQHm5qSMUwvhqqx1R8XxN\nMjMz+frrrwkNDZX+TAihYxO9wbp16xgwYICpwxA2RqOB8eOhc2dYvRpUKlNHJETjfPjhhxQVFdGr\nVy86duxIXl4eSUlJZGZmEhoaSsuWLQGlr929ezfR0dG4u7sDSpIdGxvL0qVLOXfuHK6uruzYsYPy\n8nJekCtPZsPeXpmvPX48JCbC4sXw1FPg6wuzZysXCp2dTR2lEMZRW+2IiudrsmrVKnr06MFDDz3U\n6NeXuhNCmIYx607YRJJ99uxZli1bRnBwMB06dDB1OMJGhIXB77/Dzz+Di4upoxGi8YYMGcLOnTuJ\nj4/n6tWrtGrVim7duhESEsKDDz6o206lUqGqcjXJzs6OJUuWsHbtWuLi4igpKcHX15d58+bVOI9b\nmI5KBcOHK49Dh2DZMggNhfnzISQEZs4EDw9TRymEYbm5uZGdnV2tva7aESkpKfzyyy8sWrSIixcv\n6trLysooKSnh4sWLtG3bFuc6rlBJ3QkhTMOYdSdsIsm+//77mT17Nrt27eLGjRuMGDFCNwTIkDQa\nDV9++SVpaWmkpaVRUFBAeHg4w4YNq3PflJQUkpKSOHHiBFlZWXTo0IHevXvLhQELtW2bMs9x3Tql\nqJAQlmzIkCEMGTKkzu3Cw8MJDw+v1u7i4sKcOXOYM2eOMcITRjJwIHz9NfzxB6xapTz+8Q/lbvfs\n2dCvn6kjFALi4+M5c+YM/fr1IzU1lWeffZbWrVs36Bje3t4cO3YMjUZTqfhZamoqKpUKHx8fvftd\nvnwZlUrFm2++WaldpVKRnZ3NpEmTmDFjBk8//XTDT0wIYdFsIsl+//33cXBwYNSoUVy9epXY2Fjc\n3d0ZOnSoQV8nPz+fLVu24O7ujre3N8ePH6/3vuvWraOgoAB/f388PDy4cOECcXFxHDlyhPXr10u1\nSgty+rQyx3HiRHjxRVNHI4Qyn7A+S2UJoY+XF3z4Ibz9NnzyCaxYAf37w6BByp3tMWNAPl7CVNq3\nb8+0adN44YUXWLhwId999x3PPPNMg47h5+dHTEwM8fHxjB8/HoDS0lISExNRq9W6yuK5ubkUFhbi\n4eGBvb09999/P4sWLap2vIo1toOCgujatWvTT1IIYXFsIsm+uZhF27ZtmThxIhkZGXzyySfcf//9\n9OrVyyCv07FjR2JjY2nfvj3p6emEhobWe9+ZM2fSs8otz379+jF79mzi4uIIDg42SIzCuDQaZd3Z\nW29V7mTLPGxhDvbu3UteXh7Dhg1r1AW79PR0EhISOHbsGBcvXsTV1RW1Ws3UqVPrHPKdkJDA0qVL\nq7WrVCq2b98uFxAtSNu2ynKEL78M8fHw8cfKUmCdOimVyqdPB8knRHO7ePEicXFx9OzZk7vvvpu8\nvLwGH0OtVuPn58eGDRvIy8vDw8ODhIQELl26xNy5c3XbVa070alTJ71Le61atYoOHTowcODAJp2b\nEMJy2USSffjw4UrzBgG6dOnClClT+Ne//sXmzZsJCAjAo4kTzRwcHBr9hbFqgg3Qq1cv2rRpQ0ZG\nRpPiEs1Dq1Uqiaenw+HD0KaNqSMStujnn39m/fr1qFQqunXrxoABA/D398fR0ZENGzYwbdq0Bh8z\nOjqa3377DT8/P7y8vMjNzSUuLo7p06ezevVq7rzzzlr3V6lUTJkyhVtvvbVSu4sUK7BI9vbw5JPK\n4+RJWLsW1qyBDz5Q5nKHhkJgoLKdEMYWEBBAYmIiL730Eps2beL2229v1HHmz5/Ppk2bSEpKoqCg\nAC8vLxYvXlzp+5m+uhP61GcbIYR1s4kkOzY2VpdkFxUVUVBQwNWrVykoKKCgoABXV1feeOMN+vXr\nR1BQkNl88dNoNGg0mmoVJ4V5WrMGPvtMWRf73ntNHY2wVUlJSQQHB3Pt2jV+/fVXVqxYQVFREffc\ncw/aRi5+PH78eLp37479TVnTkCFDCA4O5osvvmD+/Pl1HqN///5069atUa8vzJdardzRfv99ZQmw\nNWvgiSegSxflzvaUKdDInEeIenFxcdEN8e7duzft2rVr1HFatGhBSEgIISEhNW5TU92Jqr744otG\nxSCEsB42kWSnpKTw5JNPUlRURPlNi37e/IXT3t6eK1eucPbsWb1DG01h+/btlJWV1avgkDCtQ4eU\nYZSvvgqTJpk6GmHLunbtqruo+MgjjxAWFsavv/5KWloaDzzwQKOOeffdd1dr8/Dw4M4772zQSBuN\nRoOTkxN2dnaNikOYr9atlSHjU6fCL78oyfZ778Fbb8Hjj0NwMIwcCXqWIhai3uLj41m/fj3PPfcc\nY8eOBeDSpUt8//33TJs2jd69e5s4QiGEUNhEkt2uXTseeeQRMjMzKSsr47HHHqNt27a4urrStm1b\n2rZtazZ3ryscP36czz77DH9/f+677z5ThyNqcfEijB0LDz6oVN4VorksX76cli1bolar6dGjB7fc\ncgt2dnbk5+dXGgHTq1cvg9WeuFleXl69ivpotVrCwsLQaDQ4ODjQr18/ZsyY0eQpOsI89eunPD78\nULm7vXGjUhztlluU9baDg0HPdRsh6pSfn8+LL75YaR707bffzqOPPkpCQgLDhw9v9LFLS0urDRef\nOnVqnUv5/Prrr2zbto3Tp09z5coVXFxc8PHxISgoiB49ejQ6HiGEZbOJJPvRRx9lxowZABw5coTD\nhw/z5JNPmm3Fx4yMDN588028vLxkyRszV1qqLGcDEBMjd2lE87p48SItWrTg0KFDXLhwATc3N+66\n6y4SEhIIDQ3l/vvvrzTE25B++OEHsrOz6yzK2LJlS4YPH07v3r1xdnbm1KlTxMTEMGvWLKKiovQW\nDRLWoV07pU7FSy/Br78qlck3b4bly+GBB5Rk+5lnlIJqQtRHeXk5TzzxRLX2rl27kpyc3KRjL1my\nhP379zN27Fhd4bOIiAgiIyNrTZYzMzOxt7fniSeeoEOHDhQUFJCUlMSrr77KkiVL6Cdr3Qlhk2wi\nya5IsAEeeOAB+vTpQ0xMDN999x2TJk0yq3WoL1++zOuvv06bNm1YvHhxpfUaaxMWFlZt7ra+BdaF\nYc2ZA0eOwN69SkVxYXuio6OJjo6u1Jafn98sr929e3eCg4Oxs7MjNzeXEydO8Ntvv5Gfn8/f//53\n7O3t8fX1pWfPnvTo0YOePXvWu0+pTUZGBh9//DE9evRg2LBhtW7r7++Pv7+/7t+DBg2ib9++zJ49\nm61btxIWFtbkeIT569ULIiNhyRKlMvnGjRASoqy3PXascod7yBApliZqd+3aNX7++Wf69+9f7bmm\nXFA8efIke/bsITQ0lHHjxgFKQbXg4GCioqJYuXJljfuOGDGCESNGVGobPXo0zz77LLGxsZJkC2Gj\nbCLJPnfuXKXqt46OjkyePJkLFy7wz3/+k65duzJ+/HgcHR1NFyRw9epVXn/9dcrKyoiMjGxQ8h8Z\nGUmfPn2MGJ2oauNGZb3Yf/4TZJUO26XvYlZKSkqdQwwN4cWbFmLv0KEDDz/8MA8//DAA169fJy0t\njd9++40TJ07w7bff4uzs3OSCPLm5ucybN482bdrw9ttvN6qKbs+ePVGr1aSkpNRre7mIaD2cnJSk\neuxYyMyETz9VHp99Bh4eypJgQUGgZ8ENYQKmvIioz+TJk3n11VdJTExkxIgR9OjRA0dHR/Lz8/nP\nf/7T6OPu27cPe3t7Ro4cqWtzdHQkMDCQjRs3kpWV1aBRN05OTrRr147CwsJGxySEsGw2kWSvWLGC\nDz/8sFr7bbfdxhtvvMHhw4cJDw8nMDCQgIAAo8eTm5tLYWEhHh4euiuvxcXFhIeHk5OTw0cffdTo\nJShE80hOVpapCQ2FmwZKCGE2HB0dq83FbuoXvqKiIsLDwykqKmLFihVNGgXUqVMnMjMz67WtXES0\nTp07w9//DgsWwE8/KSszbNqk1Lbo1UtJtp99VqqTm5IpLyLq4+LiwkcffcTKlSt161e3bt0agIUL\nFzb6uGfOnMHT07PaSB9fX18ATp8+XWeSfe3aNUpLS8nPzycxMZFz584xSSqhCmGzbCLJPnbsGI88\n8kit22i1Wo4fP853333Hxx9/3OjXiouLo6ioiKysLAAOHTqk+3nMmDE4Ozuzbt06du/eTXR0NO7u\n7gC8++67pKenExgYyNmzZzl79qzumK1ateKhhx5qdEzCsP74QyniM3iwsnSNEJaiKQUer1+/zvz5\n8zl//jzLly+nS5cuTYrlwoULjV5qR1gXlUqZo/3AA0qxtIQEJeH++99h7lx45BEl4R4zBsysRqkw\ngTZt2jB//nxCQkJIS0tDq9Vy77330qZNm0YfMycnBzc3t2rtbm5uaLVacnJy6jzGwoUL+eWXXwBw\ncHBg5MiRBAUFNTomIYRls4kk28nJiR49etCmTRvatGlD27Ztq/335p+bIiYmhsuXLwOgUqk4cOAA\nBw4cAJT5Pc7OzqhUqmpDLM+cOYNKpWLXrl3s2rWr0nPu7u6SZJuJq1eVNWDbt4evvpJCZ8I2lJeX\ns3DhQk6ePMm7776LWq3Wu52+UTpVK52DUoDy1KlTPP3000aPXVgWR0elj33iCbhyBbZvVxLu559X\nRg49+aRSbFJPPmS1OnSQauz6uLm5MWjQIIMcq6SkhBZ6/qBXTCMsKSmp8xjTp09n/PjxZGVlkZiY\nyI0bN7hx44be4wohrJ9NJNkPPvggb775ZrO8VtW5S/qEh4cTHh7e4P2EaZWVKUMX//xTKXZmRvXy\nhDCq1atXc/jwYQYOHEh+fj4//PBDpecrptnoG6Xz8ssv4+PjQ/fu3WndujWnTp0iISEBd3d3GUop\natWuHbz4ovL4z3/g889hyxZoYlkBi6NSQXa2/M0xJicnJ0pLS6u1X79+Xfd8Xby9vXU/P/roo0yf\nPp0PPviAt99+u859pe6EEKZhzLoTNpFkv/HGG6YOQViBiAjYtQu+/x7+mqYlhE2oGGlz+PBhDh8+\nXO35iiRb3yidIUOGcOTIEY4ePUpxcTFubm6MGjWK5557ToaLi3q74w6YPx/mzVMS7nrcWLQKyckw\nfToUF5s6Euvm5uZGdnZ2tfaKYeL6hpLXxsHBgYEDBxIdHc3169frLKwrdSeEMA1j1p2wiSS7MdVv\nhbjZunWwbBl89BEMH27qaIRoXpGRkfXaTt8oneDg4DrX0haivlQquGmxEKv3xx+mjsA2eHt7c+zY\nMTQaTaXiZ6mpqahUKnx8fBp8zIoh5hqNxuSr1wghmp+dqQMQwtx9/70yF/Dll+GVV0wdjRBCCCEM\nyc/Pj7KyMuLj43VtpaWlJCYmolardZXFc3NzycjIoKysTLfdlStXqh2vsLCQ5ORkbrnllmrDwIUQ\ntsEm7mQL0Vj/+pdSZOeJJ5S72DIoQgghhLAuarUaPz8/NuvVI/8AACAASURBVGzYQF5eHh4eHiQk\nJHDp0iXdUmGgv+5EeHg4nTp1Qq1W065dOy5dukRiYiI5OTm89dZbpjolIYSJSZItRA3OnoURI5T1\nWj//HP4qliyEzUlPTychIYFjx45x8eJFXF1dUavVTJ06FU9Pzzr3LywsZO3atRw8eJDi4mLUajWh\noaHcddddzRC9EELUbf78+WzatImkpCQKCgrw8vJi8eLF9OzZU7eNvroTgYGB/Pjjj8TGxlJYWIiL\niwv33HMPzzzzDD169Gju0xBCmAlJsoXQIycHHn8c2raFb78FZ2dTRySE6URHR/Pbb7/h5+eHl5cX\nubm5xMXFMX36dFavXs2dtUyS1Wq1REREcPbsWSZMmEDbtm3ZsWMHYWFhREVF4eHh0XwnIoQQNWjR\nogUhISGEhITUuI2+uhOjR49m9OjRxg5PCGFhJMkWooriYhg9Wkm0Dx+Gv6ZiCWGzxo8fT/fu3XVr\nX4NSNTw4OJgvvviC+fPn17jv3r17SU1NZeHChQwePBgAf39/goKC2Lx5MwsWLDB6/EIIUZfS0tJq\nd7KnTp1aZ5XhlJQUkpKSOHHiBFlZWXTo0IHevXsTHBxMB1l3TQibJYXPhLjJjRswcSKkpEB8PDSi\noKgQVufuu++ulGADeHh4cOedd5KRkVHrvsnJyXTo0EGXYAO4urri7+/PwYMHuXHjhlFiFkKIhliy\nZAmxsbEEBAQwa9Ys7O3tiYiI4MSJE7Xut27dOo4fP87gwYOZNWsWQ4cOZe/evUyfPp28vLxmil4I\nYW7kTrYQfykvhxdfhO++g2++gQceMHVEQpi3vLw8unbtWus2p0+f1jv32tfXl++//57MzMw6jyGE\nEMZ08uRJ9uzZQ2hoKOPGjQMgICCA4OBgoqKiWLlyZY37zpw5s9K8bYB+/foxe/Zs4uLiZAlDIWyU\n3MkWAtBq4W9/g88+Ux4jRpg6IiHM2w8//EB2djZDhgypdbucnBzc3NyqtVe05eTkGCU+IYSor337\n9mFvb8/IkSN1bY6OjgQGBpKamkpWVlaN+1ZNsAF69epFmzZt6hzpI4SwXpJkCwG88w58/DH885/K\ncHEhRM0yMjL4+OOP6dGjB8OGDat125KSElq0aFGt3dHREa1WS0lJibHCFEKIejlz5gyenp60atWq\nUruvry+gjMhpCI1Gg0ajkTWyhbBhMlzcgDQaDV9++SVpaWmkpaVRUFBAeHh4nV9CAXJzc9m+fTtp\naWmkp6ej0WiIjIzk3nvvbYbIbdvKlfDWW/DuuxAaaupohDBvubm5zJs3jzZt2vD2229XW86mKicn\nJ0pLS6u1X79+HZVKhZOTU52vGRYWVu3L6sSJE5koV8SEMKro6Giio6MrteXn55soGuOpbcSNVqtt\n8Iib7du3U1ZWVudIHyGE9ZIk24Dy8/PZsmUL7u7ueHt7c/z48Xrvm5GRwbZt2/Dw8MDLy4vU1FQj\nRioqbN4Mr7wCr70GtRRIFkIARUVFhIeHU1RUxIoVK+pVOdfNzU3vF9SKNn1fbKuKjIykT58+DQ9Y\nCNEk+i5mpaSk1Flx29LUNuKm4vn6On78OJ999hn+/v7cd999BotRCGFZJMk2oI4dOxIbG0v79u1J\nT08ntAG3Rbt3786OHTtwcXFh3759LFq0yIiRCoAtWyA4GKZNg3/8A+q4ISeETbt+/Trz58/n/Pnz\nLF++nC5dutRrP29vb73VeVNTU3FycqJz586GDlUIIRqkthE3Fc/XR0ZGBm+++SZeXl7MmTOn3q8v\no3WEMA1jjtaRJNuAHBwcaN++faP2rToPSBjXF1/ACy/AlCmwdq0k2ELUpry8nIULF3Ly5Eneffdd\n1Gq13u1yc3MpLCzEw8NDt+SXn58f+/fvJzk5mYcffhhQ/oAlJyczcOBAHBzkz5AQwrTc3NzIzs6u\n1t6QETeXL1/m9ddfp02bNixevLhB3+tktI4QpmHM0Try7UbYnG3bIChIeaxfD3ZS/k+IWq1evZrD\nhw8zcOBA8vPz+eGHHyo9HxAQACjrxe7evZvo6Gjc3d0BJcmOjY1l6dKlnDt3DldXV3bs2EF5eTkv\nvPBCc5+KEEJU4+3tzbFjx9BoNJWS49TUVFQqFT4+PrXuf/XqVV5//XXKysqIjIys11QaIYR1kyRb\n2JSvvoJJk5THxo2SYAtRH2fOnEGlUnH48GEOHz5c7fmKJFulUlUrhGZnZ8eSJUtYu3YtcXFxlJSU\n4Ovry7x58/D09GyW+IUQojZ+fn7ExMQQHx/P+PHjASgtLSUxMRG1Wk2nTp0A/aN1iouLCQ8PJycn\nh48++ojbb7/dZOchhDAfkmQLm7F9u7I81zPPwCefwF9/H4UQdYiMjKzXduHh4YSHh1drd3FxYc6c\nOQ2aoyiEEM1FrVbj5+fHhg0byMvLw8PDg4SEBC5dusTcuXN12+kbrfPuu++Snp5OYGAgZ8+e5ezZ\ns7rtW7VqxUMPPdTs5yOEMD1Jsq2EFM2o3aefKkXOnnlG+VkSbGEotrLEjRBCWLP58+ezadMmkpKS\nKCgowMvLi8WLF9OzZ0/dNvpG61SM9Nm1axe7du2q9Jy7u7sk2ULYKEmyrYQUzajZ6tUwcya8+KJS\n5EwSbGFItrLEjUaj4csvvyQtLY20tDQKCgoIDw9n2LBhde6bkJDA0qVLq7WrVCq2b9/e6IKRQtiK\nF16Ali3rv/20aTBqlNHCsUotWrQgJCSEkJCQGrfRN1qn6kVWIYQASbKFlfvgA4iIgLAwWL5cqogL\n0Vj5+fls2bIFd3d3vL29OX78eIP2V6lUTJkyhVtvvbVSu4uLiyHDFMKq9O4N48eDRlP/fQ4cgPbt\nJckWQghTkiTbBPQVzhCGpdXCG2/Ae+/Bm2/C229Lgi1EU3Ts2JHY2Fjat29Peno6oaGhDT5G//79\n6datmxGiE8I63XqrsiJGQ/y1Up5ooNLS0mrDxadOnVrnqKTc3Fy2b99OWloa6enpaDQaIiMjuffe\ne5spciGEOZIk28Di4uIoKioiKysLgEOHDul+HjNmDM7OznoLZwBs2bIFlUrF2bNn0Wq17N69m3//\n+98ATJ48uflPxkLduAGzZilDw//xD5BaS0I0nYODg0GGdWs0GpycnLCT0v5CCDOyZMkS9u/fz9ix\nY3WFzyIiIoiMjKRHjx417peRkcG2bdvw8PDAy8uL1NTUZoxaCGGuJMk2sJiYGC5fvgwowyMPHDjA\ngQMHAGWZG2dnZ72FMwA++eQTXbtKpSIhIUH3nCTZ9XPtGkyYADt3woYNMHWqqSMSQgBotVrCwsLQ\naDQ4ODjQr18/ZsyYgYeHh6lDE0LYuJMnT7Jnzx5CQ0MZN24coHxnCw4OJioqipUrV9a4b/fu3dmx\nYwcuLi7s27ePRYsWNVfYQggzJkm2gdWnAEZNy9z8+OOPxgjJZmRlKXPQTpyA+Hh4/HFTRySEAGjZ\nsiXDhw+nd+/eODs7c+rUKWJiYpg1axZRUVG6NWiFEMIU9u3bh729PSNHjtS1OTo6EhgYyMaNG8nK\nyqqxn2rVqlVzhSmEsCCSZAurcPq0klRfvQp790LfvqaOSAhRwd/fH39/f92/Bw0aRN++fZk9ezZb\nt24lLCzMdMEJIWzemTNn8PT0rJYw+/r6AnD69Gm5GCiEaBCZFCcs3v798OCDYGcHhw9Lgi2EJejZ\nsydqtZqUlBRThyKEsHE5OTm4ublVa3dzc0Or1ZKTk2OCqIQQlkzuZAuLtn49zJgBDz0E27eDnr+R\nQggz1alTJzIzM+vcLiwsDFdX10pt+tYnF0IYVnR0dLVpcPn5+SaKxnhKSkpo0aJFtXZHR0fd80II\n0RCSZAuLVFoKf/sbrFqlJNkffQR6/j4KIczYhQsXaNeuXZ3bRUZG0qdPn2aISAhxM30Xs1JSUupc\n1srSODk5UVpaWq39+vXruueNSS4kCmEaxryQKEm2sDhZWUoF8eRkWLMGXnrJ1BEJISrk5uZSWFiI\nh4cH9vb2gPIHq+oXyCNHjnDq1CmefvppU4QphBA6bm5uZGdnV2uvGCaubyi5IcmFRCFMw5gXEiXJ\nFhZl/34lwS4thR9+gJtqKQkhjCwuLo6ioiKysrIAOHTokO7nMWPG4OzszLp169i9ezfR0dG4u7sD\n8PLLL+Pj40P37t1p3bo1p06dIiEhAXd3dyZNmmSy8xFCCABvb2+OHTuGRqOpVPwsNTUVlUqFj4+P\nCaMTQlgiSbKFRSgvh3/8AxYsgEGDIDoabr/d1FEJYVtiYmK4fPkyACqVigMHDnDgwAFAWVPW2dkZ\nlUqFSqWqtN+QIUM4cuQIR48epbi4GDc3N0aNGsVzzz1Xr+HiQghhTH5+fsTExBAfH8/48eMBKC0t\nJTExEbVarassrm+kjhBC6CNJtjB7Fy/C1KmwcyfMmweLFoGDfHKFaHZV5y3pEx4eTnh4eKW24OBg\ngoODjRWWEEI0iVqtxs/Pjw0bNpCXl4eHhwcJCQlcunSJuXPn6rbTN1IHYMuWLahUKs6ePYtWq2X3\n7t38+9//BmDy5MnNfj5CCNOTVEWYte3blTnX9vZKkv3446aOSAghhBDWZv78+WzatImkpCQKCgrw\n8vJi8eLF9OzZU7eNvpE6AJ988omuXaVSkZCQoHtOkmwhbJMk2cIs5eXBrFnw+ecwZgysXQt/jdYS\nQgghhDCoFi1aEBISQkhISI3b6BupA/Djjz8aMzQhhAWSJNuANBoNX375JWlpaaSlpVFQUEB4eDjD\nhg2r1/6FhYWsXbuWgwcPUlxcjFqtJjQ0lLvuusvIkZsPrVZJrF97DUpKYMsWmDQJ9Fw4FkI0I+nf\nhBDWrLS0tNqd7KlTp9aryrD0b0KIquxMHYA1yc/PZ8uWLWRkZODt7a13SFFNtFotERER7NmzhzFj\nxvDSSy9x5coVwsLCOH/+vBGjNh+pqTB0KAQFKVXDf/sNJk+WBFsIcyD9mxDCmi1ZsoTY2FgCA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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "display_png(test_1_rp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first (top left) plot is the wave pattern in the $(x, t)$ plane. Rarefactions are shaded with thin solid lines. Contacts are dashed lines. Discontinuities such as shocks are thick solid lines.\n", "\n", "All the other plots show a single quantity as a function of space at a fixed time, or equivalently as a function of the characteristic variable $\\xi = x / t$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Changing equation of state\n", "\n", "There is no need for the two states to have the same equation of state. For example:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/ih3/anaconda/lib/python3.4/site-packages/matplotlib/tight_layout.py:222: UserWarning: tight_layout : falling back to Agg renderer\n", " warnings.warn(\"tight_layout : falling back to Agg renderer\")\n" ] }, { "data": { "image/png": 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++eQTAgMDpXWd77v09HSA12ZdLo/+/PNPVq5cybRp02j8b3ae/Px8vLy8aNq0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xIhw48OM92iLO9re/QWkpjBljdiRSnRMnTrBmzRqOHj1KXl4ePj4+dO3alcmTJ3PbbbfVefzF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\nlaX94WuTnm5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\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "\n" ], "text/latex": [ "$\\begin{cases} \\begin{pmatrix} \\rho \\\\ v_x \\\\ v_t \\\\ \\epsilon \\end{pmatrix}_{L} = \\begin{pmatrix} 1.0000 \\\\ -0.5000 \\\\ 0.0000 \\\\ 2.0000 \\end{pmatrix},\\\\ \\begin{pmatrix} \\rho \\\\ v_x \\\\ v_t \\\\ \\epsilon \\end{pmatrix}_{R} = \\begin{pmatrix} 1.0000 \\\\ 0.5000 \\\\ 0.0000 \\\\ 2.0000 \\end{pmatrix}, \\end{cases} \\quad \\implies \\quad {\\cal R}_{\\leftarrow}{\\cal C}{\\cal R}_{\\rightarrow}, \\quad p_* = 0.2598, \\quad\\begin{cases} {\\cal R}_{\\leftarrow}: \\lambda^{(0)}\\in [-0.8955, -0.5734],\\\\ {\\cal C}: \\lambda^{(1)}= 0.1224,\\\\ {\\cal R}_{\\rightarrow}: \\lambda^{(2)}\\in [0.6019, 0.8202], \\end{cases} \\quad \\begin{cases} \\begin{pmatrix} \\rho \\\\ v_x \\\\ v_t \\\\ \\epsilon \\end{pmatrix}_{\\star_L} = \\begin{pmatrix} 0.3748 \\\\ 0.1224 \\\\ 0.0000 \\\\ 1.0397 \\end{pmatrix},\\\\ \\begin{pmatrix} \\rho \\\\ v_x \\\\ v_t \\\\ \\epsilon \\end{pmatrix}_{\\star_R} = \\begin{pmatrix} 0.4478 \\\\ 0.1224 \\\\ 0.0000 \\\\ 1.4504 \\end{pmatrix}. \\end{cases}$" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eos_air = eos_defns.eos_gamma_law(1.4)\n", "U_vary_eos_L = State(1.0, -0.5, 0.0, 2.0, eos, label=\"L\")\n", "U_vary_eos_R = State(1.0, +0.5, 0.0, 2.0, eos_air, label=\"R\")\n", "test_vary_eos_rp = RiemannProblem(U_vary_eos_L, U_vary_eos_R)\n", "test_vary_eos_rp" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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++eQTAgMDpXWd77v09HSA12ZdLo/+/PNPVq5cybRp02j8b3ae/Px8vLy8aNq0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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "display_png(test_vary_eos_rp)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Reactive problems\n", "\n", "To include a reaction, make the equation of state of at least one of the states be a reactive EOS:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/ih3/anaconda/lib/python3.4/site-packages/matplotlib/tight_layout.py:222: UserWarning: tight_layout : falling back to Agg renderer\n", " warnings.warn(\"tight_layout : falling back to Agg renderer\")\n" ] }, { "data": { "image/png": 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ZOHBgnse5du0awcHBTJo0Kc+HPjdu3GD79u1MnTo1z7fmt27dYuXKlQwfPpz3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CJDF}_{\\rightarrow}\\right) : \\lambda^{(2)}\\in [0.2763, 0.6612], \\end{cases} \\quad \\begin{cases} \\begin{pmatrix} \\rho \\\\ v_x \\\\ v_t \\\\ \\epsilon \\end{pmatrix}_{\\star_L} = \\begin{pmatrix} 2.1685 \\\\ -0.5305 \\\\ 0.0000 \\\\ 3.4972 \\end{pmatrix},\\\\ \\begin{pmatrix} \\rho \\\\ v_x \\\\ v_t \\\\ \\epsilon \\end{pmatrix}_{\\star_R} = \\begin{pmatrix} 4.3776 \\\\ -0.5305 \\\\ 0.0000 \\\\ 1.7324 \\end{pmatrix}. \\end{cases}$" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "q_unburnt = 0.1\n", "gamma = 5/3\n", "Cv = 1.0\n", "t_ignition = 2\n", "eos_burnt = eos_defns.eos_gamma_law(gamma)\n", "eos_unburnt = eos_defns.eos_gamma_law_react(gamma, q_unburnt, Cv, t_ignition, eos_burnt)\n", "U_reactive_left = State(1, 0, 0, 2, eos_burnt)\n", "U_reactive_right = State(10, 0, 0, 3, eos_unburnt)\n", "test_reactive_rp = RiemannProblem(U_reactive_left, U_reactive_right)\n", "test_reactive_rp" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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ZOHBgnse5du0awcHBTJo0Kc+HPjdu3GD79u1MnTo1z7fmt27dYuXKlQwfPpz3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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "display_png(test_reactive_rp)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.4.4" } }, "nbformat": 4, "nbformat_minor": 0 }