diff --git a/Project1/.DS_Store b/Project1/.DS_Store
index 41f08d55bcf98ad67cdcaec17e7b1835c5e2a8b3..0c779972730b822a4fae4383443968023614a207 100644
Binary files a/Project1/.DS_Store and b/Project1/.DS_Store differ
diff --git a/Project2/src/Example.ipynb b/Project2/src/Example.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..5e3399cda4b96464bfefdf4a48166540d374752f
--- /dev/null
+++ b/Project2/src/Example.ipynb
@@ -0,0 +1,275 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np \n",
+    "import matplotlib.pyplot as plt"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "Nx = 1_000\n",
+    "x0, x1 = -.5, 3.5\n",
+    "dx = (x1 - x0) / Nx\n",
+    "x = np.linspace(x0, x1, Nx)\n",
+    "\n",
+    "Ntime = 5_000\n",
+    "T_end = 10.0\n",
+    "dt = T_end / Ntime"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x129a71a30>]"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "u0 = np.where(\n",
+    "    x <= 0,\n",
+    "    0.2,\n",
+    "    np.where(\n",
+    "        x <= 0.5,\n",
+    "        0.4,\n",
+    "        np.where(\n",
+    "            x <= 1.5,\n",
+    "            0.6,\n",
+    "            np.where(\n",
+    "                x <= 2.5,\n",
+    "                0.8,\n",
+    "                np.where(\n",
+    "                    x <= 3.5,\n",
+    "                    # 0.9, # * Example 1\n",
+    "                    0.5, # * Example 2\n",
+    "                    0.0\n",
+    "                )\n",
+    "            )\n",
+    "        )\n",
+    "    )\n",
+    ")\n",
+    "\n",
+    "plt.plot(x, u0)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x129ace8d0>]"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "f = lambda u: u * (1 - u)\n",
+    "\n",
+    "u_schematic = np.linspace(0,1,100)\n",
+    "plt.plot(u_schematic, f(u_schematic))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def Upwind(u_old:np.array, f_:callable, M:float=1) -> tuple:\n",
+    "    # specific discretization for nonlinear exponential function\n",
+    "    F = np.zeros_like(u_old)\n",
+    "    F[:-1] = .5 * (\n",
+    "        f_(u_old[:-1]) + f_(u_old[1:])\n",
+    "        - M * (u_old[1:] - u_old[:-1])\n",
+    "    )\n",
+    "    F[-1] = f_(u_old[-1])  # Ensure boundary condition correctness\n",
+    "    return F[1:], F[:-1]\n",
+    "\n",
+    "# Initial condition\n",
+    "u_vec = [u0.copy()]\n",
+    "u = u0.copy()\n",
+    "t = .0\n",
+    "t_vec = [t]\n",
+    "\n",
+    "J = [f(u0)]\n",
+    "\n",
+    "for j in range(Ntime):\n",
+    "    # Store old values\n",
+    "    u_old = u_vec[-1]\n",
+    "    # Get Upwind\n",
+    "    (upwind_n_1, upwind_n_2) = Upwind(u_old, f_=f)\n",
+    "    # no exchange\n",
+    "    u[1:] = u_old[1:] - dt * (\n",
+    "        1 / dx * (upwind_n_1 - upwind_n_2)\n",
+    "    )\n",
+    "    J.append(f(u))\n",
+    "\n",
+    "    # Apply BCs\n",
+    "    u[0] = u_old[0]\n",
+    "\n",
+    "    # Store\n",
+    "    u_vec.append(u.copy())\n",
+    "\n",
+    "    t_vec.append(t)\n",
+    "    t += dt"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x129ce4350>]"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.plot(x, u_vec[-1])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/var/folders/v_/5q1gkdc53z34pdsfnpkx2t340000gn/T/ipykernel_67291/4109283513.py:29: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n",
+      "  fig.show()\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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+      "text/plain": [
+       "<Figure size 2000x500 with 4 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "fig, axs = plt.subplots(ncols=4, nrows=1, figsize=(20, 5))\n",
+    "\n",
+    "# Function u on first axis\n",
+    "axs[0].set_title('Function f(u)')\n",
+    "axs[0].plot(u_schematic, f(u_schematic), color='blue')\n",
+    "axs[0].grid()\n",
+    "axs[0].set_xlabel('u')\n",
+    "axs[0].set_ylabel('f(u)')\n",
+    "\n",
+    "# Initial Distribution and final distribution\n",
+    "axs[1].set_title('Solution of $u_t + f(u)_x = 0$')\n",
+    "axs[1].plot(x, u0, label='$u_0(x)$', color='red', ls='--')\n",
+    "axs[1].plot(x, u_vec[-1], label='u(x,t)', color='red', ls='-')\n",
+    "axs[1].legend()\n",
+    "axs[1].grid()\n",
+    "axs[1].set_xlabel('x')\n",
+    "axs[1].set_ylabel('U(x)')\n",
+    "\n",
+    "# Flux function (initial and final)\n",
+    "axs[2].set_title('Flux $f(u(x,t))$')\n",
+    "axs[2].plot(x, J[0], label='$f(u_0(x))$', color='green', ls='--')\n",
+    "axs[2].plot(x, J[-1], label='$f(u(x,t))$', color='green', ls='-')\n",
+    "axs[2].legend()\n",
+    "axs[2].grid()\n",
+    "axs[2].set_xlabel('x')\n",
+    "axs[2].set_ylabel('f(u)')\n",
+    "\n",
+    "fig.tight_layout()\n",
+    "fig.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "base",
+   "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": "3.12.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/Project2/src/ExampleGeneric.ipynb b/Project2/src/ExampleGeneric.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..384c61158d374a24f1ee27eb4c9b7461232ea629
--- /dev/null
+++ b/Project2/src/ExampleGeneric.ipynb
@@ -0,0 +1,180 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np \n",
+    "import matplotlib.pyplot as plt"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from SystemGeneric import System"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "Nx = 1_000\n",
+    "x0, x1 = 0, 3/2\n",
+    "dx = (x1 - x0) / Nx\n",
+    "\n",
+    "Ntime = 1_000\n",
+    "T_end = 1.0\n",
+    "\n",
+    "system = System(\n",
+    "    Nx=Nx, x0=x0, x1=x1, \n",
+    "    NTime=Ntime, T_end=T_end,\n",
+    ")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/var/folders/v_/5q1gkdc53z34pdsfnpkx2t340000gn/T/ipykernel_67651/2787862268.py:20: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n",
+      "  fig.show()\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "x = system.get_x()\n",
+    "\n",
+    "u0 = np.where(\n",
+    "    x <= 1/2,\n",
+    "    2*x,\n",
+    "    np.where(\n",
+    "        x <= 1,\n",
+    "        1,\n",
+    "        np.where(\n",
+    "            x <= 3/2,\n",
+    "            3 - 2 * x,\n",
+    "            0\n",
+    "        )\n",
+    "    )\n",
+    ")\n",
+    "\n",
+    "system.set_u0(u0)\n",
+    "\n",
+    "fig, axs = system.plot_u0()\n",
+    "fig.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(<Figure size 640x480 with 1 Axes>, <Axes: xlabel='x', ylabel='f(u)'>)"
+      ]
+     },
+     "execution_count": 17,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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l9tmhQ4cK9xUcHKzg4ODj1gcGBrr9S+OJ90Dl0Q9noR/OQj+cpdb0w7LMCNitW6WYGPkvXiz/Cv7Nre3c2Y+q7NfWuBwUFKSOHTuWDXyQVDYQIiEh4YSvmz59uiZNmqS0tDTFxcWV+13Tpk0VFRVVbp+5ublas2bNSfcJAADc4OmnpaVLpTp1zM8zzrC7Iq9m+6nY5ORkDR06VHFxcerUqZNmzZqlvLw8DRs2TJI0ZMgQNWnSRFOmTJEkTZs2TRMmTNBLL72k2NjYsuvm6tWrp3r16snPz0933XWXJk+erObNm6tp06Z64IEHFB0drX79+tn1MQEA8D1r10p3322Wp0+XOMDidrYHu4EDB2r//v2aMGGCsrOz1aFDB6WlpZUNfti5c6f8f3cefs6cOSosLNS1115bbj+pqal68MEHJUn33HOP8vLyNHLkSB08eFBdunRRWlraKV2HBwAAquCXX8x9YF0uqX9/6a677K7IJ9ge7CRp9OjRGj16dIW/y8zMLPd8x44df7o/Pz8/PfTQQ3rooYdqoDoAAFAlJSXSkCHSjz9K550nLVgg+fnZXZVP8I4hKQAAwDmmTZPefVcKCZFefVWqX9/uinwGwQ4AANSczExp/Hiz/NRT0glmpIB7EOwAAEDN2LtXGjTInIq9+WbpllvsrsjnEOwAAMCpc7nMYImcHKltW2n2bK6rswHBDgAAnLqUFOmjj6TwcOn11yU335ITFSPYAQCAU/Paa9Jjj5nlhQul5s1tLceXEewAAED1ff/9sWvpxo6Vrr7a3np8HMEOAABUT16edM010qFD0iWXSI88YndFPo9gBwAAqs6ypL//Xfr6aykq6tj9YGErgh0AAKi6p5+WXnhBCggwoS4qyu6KIIIdAACoqk8+OXbv12nTzGlYOALBDgAAVF5OjjRggFRUZH4mJ9tdEX6HYAcAACqnqEgaOFDas0f6y1+kZ59lEmKHIdgBAIDKSUmR/u//pHr1pGXLpLAwuyvCHxDsAADAn3vtNWnGDLO8cKHUsqWt5aBiBDsAAHBymzZJw4aZ5XvuMXPXwZEIdgAA4MR++83cTeLwYenSS6WHH7a7IpwEwQ4AAFSspEQaOtTcNiwmhkmIawGCHQAAqNgjj0hvvikFB5vBEo0a2V0R/gTBDgAAHO+996QJE8zy009LcXH21oNKIdgBAIDytm2Trr/e3A/2ttukW26xuyJUEsEOAAAck5cn9e8vHTwo/fWv0uOP210RqoBgBwAADMuShg+XvvxSOvNMM3ddcLDdVaEKCHYAAMCYMePYyNfXXpOaNLG7IlQRwQ4AAEjp6dJ995nlxx+Xuna1tx5UC8EOAABf98MP0sCBZt66W26Rbr/d7opQTQQ7AAB8WV6e1K+f9OuvUqdO0uzZkp+f3VWhmgh2AAD4qtLBEl99JUVGmkmIQ0LsrgqngGAHAICvmj792GCJV19lsIQXINgBAOCLVqyQUlLM8pNPMljCSxDsAADwNd9/f+zOEiNHSn//u90VoYYQ7AAA8CW5uVLfvtJvv0kXX2yO1sFrEOwAAPAVJSXSjTdKmzdLZ50lvf66FBRkd1WoQQQ7AAB8RWqq9PbbZuTrG2+YkbDwKgQ7AAB8wSuvSJMnm+X586W4OHvrgVsQ7AAA8HYbNkg332yWx4wxp2PhlQh2AAB4s5wcM1jiyBGpZ09p6lS7K4IbEewAAPBWBQVS//7STz9J558vvfyyFBBgd1VwI4IdAADeyLKkUaOkTz6R6teX3nxTatDA7qrgZgQ7AAC80VNPSc8+K/n7m9uGnX++3RXBAwh2AAB4m/R06e67zfKjj0pJSfbWA48h2AEA4E2++04aMEAqLpaGDj0W8OATCHYAAHiLX3+VrrrK3C6sc2fpP/+R/PzsrgoeRLADAMAbFBVJ110nff+9dPbZ0rJlUnCw3VXBwwh2AAB4g+RkadUqKTRUeustbhfmowh2AADUdv/5j/Tkk2b5hRek9u3trQe2IdgBAFCbffCBNHq0WX74Yenqq+2tB7Yi2AEAUFt9/710zTXm+rrrr5dSUuyuCDYj2AEAUBv9+qt0xRXSwYPSX/9qJiNmBKzPI9gBAFDL+BUVKWDQIGnLFjMCdvlyKSTE7rLgAAQ7AABqE8tS2/nz5b96tVSvnvT224yARRmCHQAAtYj/U0+p6fvvy/Lzk156SWrXzu6S4CAEOwAAaot33pH/2LGSpJJp06Qrr7S5IDgNwQ4AgNrgiy+kQYPkV1KiHd27q+TOO+2uCA5EsAMAwOn27jUjYPPyVHLZZfryttsYAYsKEewAAHCyvDxzynXXLqllSxW//LKsOnXsrgoORbADAMCpSkqkm26S1q2TIiKkd96RGja0uyo4GMEOAACnSkmR3nhDCgoyc9Wde67dFcHhCHYAADjR/PnS9OlmecEC6eKL7a0HtQLBDgAAp1m5Urr9drOcmirdcIO99aDWINgBAOAkX30lXXutVFxsrq9LTbW7ItQiBDsAAJxi716pTx/p0CGpWzdzOpZpTVAFBDsAAJygdFqTn36Szj9fWrZMCg62uyrUMrYHu9mzZys2NlYhISGKj4/X2rVrT7jtN998o2uuuUaxsbHy8/PTrFmzjtvmwQcflJ+fX7lHy5Yt3fgJAAA4RcXF0vXXH5vW5N13pdNPt7sq1EK2BrulS5cqOTlZqampWr9+vdq3b6+kpCTt27evwu3z8/PVrFkzTZ06VVFRUSfcb+vWrbV3796yx0cffeSujwAAwKmxLOmuu6S33jJH6N56i2lNUG22BruZM2dqxIgRGjZsmFq1aqW5c+cqNDRUCxYsqHD7iy66SI8++qgGDRqk4JMcnq5Tp46ioqLKHhEREe76CAAAnJp//1t66imzvHixlJBgbz2o1Wy7J0lhYaHWrVunlJSUsnX+/v5KTExUVlbWKe17y5Ytio6OVkhIiBISEjRlyhSdffbZJ9y+oKBABQUFZc9zc3MlSS6XSy6X65RqOZHS/bpr/6ga+uEs9MNZ6If7+C1bpoAxY+QnqXjaNJX06yf9yX9n+uEsnuhHVfZtW7A7cOCAiouLFRkZWW59ZGSkNm/eXO39xsfHa+HChTr//PO1d+9eTZw4UV27dtXXX3+tsLCwCl8zZcoUTZw48bj1K1euVGhoaLVrqYz09HS37h9VQz+chX44C/2oWQ03b9bFEybIz7L0Q+/e+qpFC2nFikq/nn44izv7kZ+fX+ltve4uwr169SpbbteuneLj43XOOefolVde0fDhwyt8TUpKipKTk8ue5+bmKiYmRj169FB4eLhb6nS5XEpPT1f37t0VGBjolvdA5dEPZ6EfzkI/3GDLFtUZPlx+hYUq6dNHMa+9ppiAgEq9lH44iyf6UXomsTJsC3YREREKCAhQTk5OufU5OTknHRhRVQ0aNFCLFi20devWE24THBxc4TV7gYGBbv/SeOI9UHn0w1noh7PQjxqyf7/Ut6/0889SXJz8ly6Vf0hIlXdDP5zFnf2oyn5tGzwRFBSkjh07KiMjo2xdSUmJMjIylFCDF44ePnxY27ZtU+PGjWtsnwAAVEt+vpmrbutWKTZWevtt6bTT7K4KXsTWU7HJyckaOnSo4uLi1KlTJ82aNUt5eXkaNmyYJGnIkCFq0qSJpkyZIskMuNi0aVPZ8u7du7Vx40bVq1dP5513niRpzJgxuvLKK3XOOedoz549Sk1NVUBAgAYPHmzPhwQAQDJz1Q0eLK1ZY+aoS0uTavAMFSDZHOwGDhyo/fv3a8KECcrOzlaHDh2UlpZWNqBi586d8vc/dlBxz549uuCCC8qez5gxQzNmzFC3bt2UmZkpSdq1a5cGDx6sn3/+WY0aNVKXLl306aefqlGjRh79bAAAlLEs6R//KD9X3fnn210VvJDtgydGjx6t0aNHV/i70rBWKjY2VpZlnXR/S5YsqanSAACoGdOmSXPmmPu+vvSSdPHFdlcEL2X7LcUAAPBqL74olc7Z+vjjUv/+9tYDr0awAwDAXVatkv533bjGjDGnYwE3ItgBAOAOGzZIV19t7iQxaJA5HQu4GcEOAICatn271KuXdPiwdOml0sKFkj//5ML9+FMGAEBN2r9fSkqScnKk9u2lN94wI2EBDyDYAQBQU/LypCuukLZskc45R3rvPal+fburgg8h2AEAUBNcLmngQGntWjMB8fvvS9z1CB5GsAMA4FRZljRihPTuu1LdutI77zABMWxBsAMA4FTdd5+0aJEUECC98opUg/c8B6qCYAcAwKmYOVOaPt0sP/OMucYOsAnBDgCA6nrhBelf/zLLU6dKN99sazkAwQ4AgOpISzt2V4m77pLuucfWcgCJYAcAQNV9+ql0zTVSUZF0/fXSY49Jfn52VwUQ7AAAqJJvvpH69JHy86UePaTnnuOuEnAM/iQCAFBZP/5o7irxyy9SfLy0bJkUFGR3VUAZgh0AAJWxb585Qrd7t9SqlZmz7rTT7K4KKIdgBwDAn8nNlXr1kr7/Xjr7bHNXiTPOsLsq4DgEOwAATuboUalfP2n9eqlRIyk9XTrrLLurAipEsAMA4ESKisz9X1evlsLCpPfek1q0sLsq4IQIdgAAVKSkRLrlFumtt6TgYPOzY0e7qwJOimAHAMAfWZaZdHjxYnP/11dflf72N7urAv5Uneq8qKCgQGvWrNGPP/6o/Px8NWrUSBdccIGaNm1a0/UBAOB5EydKTz5plhculK680tZygMqqUrD7+OOP9fjjj+vtt9+Wy+VS/fr1VbduXf3yyy8qKChQs2bNNHLkSP39739XWFiYu2oGAMB9Hn/cBDvJhLsbb7S3HqAKKn0q9qqrrtLAgQMVGxurlStX6tChQ/r555+1a9cu5efna8uWLRo/frwyMjLUokULpaenu7NuAABq3oIF5hSsJD30kDR6tK3lAFVV6SN2ffr00euvv67AwMAKf9+sWTM1a9ZMQ4cO1aZNm7R3794aKxIAALd75RVpxAiznJwsjR9vbz1ANVQ62N12222V3mmrVq3UqlWrahUEAIDHrVgh3XCDGQk7YoQ0Y4bk52d3VUCVMSoWAODbMjOla64xc9YNHizNmUOoQ61VrVGx/v7+8jvJH/ri4uJqFwQAgMesXWtGvB49an4uWmSmNwFqqWoFuzfeeKPcc5fLpQ0bNmjRokWaWDqSCAAAJ/vyS6lnT+nwYemyy8w1die4jhyoLaoV7Pr27XvcumuvvVatW7fW0qVLNXz48FMuDAAAt9m8WUpMlH79VUpIkN58UwoJsbsq4JTV6DV2f/3rX5WRkVGTuwQAoGZt2yZdfrm0f7904YVm4ES9enZXBdSIGgt2R44c0RNPPKEmTZrU1C4BAKhZP/1kQt2ePVLr1tL770sNGthdFVBjqnUqtmHDhuUGT1iWpUOHDik0NFQvvPBCjRUHAECNyc42oe7HH6XmzaVVq6SICLurAmpUtYLdrFmzyj339/dXo0aNFB8fr4YNG9ZEXQAA1Jz9+801dVu2SOecI2VkSFFRdlcF1LhqBbuhQ4fWdB0AALjHL79I3btL33wjRUebUBcTY3dVgFtU+hq7nTt3VmnHu3fvrnIxAADUqN9+k5KSpC++kCIjpQ8+kM491+6qALepdLC76KKLdNttt+mzzz474Ta//fab5s+frzZt2uj111+vkQIBAKiWQ4fMPHWff26upcvIkM4/3+6qALeq9KnYb7/9VpMnT1b37t0VEhKijh07Kjo6WiEhIfr111+1adMmffPNN7rwwgs1ffp09e7d2511AwBwYnl5Up8+0qefSg0bmoESrVvbXRXgdpU+Yrdr1y49+uij2rt3r2bPnq3mzZvrwIED2rJliyTphhtu0Lp165SVlUWoAwDY58gRqW9f6b//lcLDpZUrpfbt7a4K8IhKH7G74IILlJ2drUaNGmns2LH67LPPdMYZZ7izNgAAqqY01GVkmEmH09KkuDi7qwI8ptJH7Bo0aKAffvhBkrRjxw6VlJS4rSgAAKrs6FGpf38pPV067TTpvffM7cIAH1LpI3bXXHONunXrpsaNG8vPz09xcXEKCAiocNvSAAgAgEcUFEjXXGOO0IWGmtuEdelid1WAx1U62M2bN0/9+/fX1q1b9c9//lMjRoxQWFiYO2sDAODPFRZKAwaYMFe3rvTuu9Ill9hdFWCLKk1Q3LNnT0nSunXrdOeddxLsAAD2KiyUrrtOevttKSTE/Pzb3+yuCrBNte488dxzz9V0HQAAVE1pqHvzTSk42Py8/HK7qwJsVenBEwAAOEZFoa5HD7urAmxHsAMA1C4VhbqkJLurAhyBYAcAqD0IdcBJEewAALVDQUH5UPfWW4Q64A+qNXgCAACPOnpUuvZaM5VJaajjmjrgOAQ7AICzHTli7iiRlnZsSpPERLurAhyJYAcAcK78fKlfP3ObsNBQE+ouu8zuqgDHItgBAJwpL0+68kpp9Wpz79d335W6dbO7KsDRCHYAAOc5dEi64grpww+levWk997j3q9AJRDsAADO8ttvUq9eUlaWFB5urq1LSLC7KqBWINgBAJzjl1/MFCaffy41bCi9/7500UV2VwXUGgQ7AIAz7N8vde8uffGFFBFhBkx06GB3VUCtQrADANgvO1u6/HJp0yYpKkpatUpq3druqoBah2AHALDXTz+Zeem+/15q0kT64AOpRQu7qwJqJYIdAMA+27aZI3U//iidc44Jdc2a2V0VUGtxr1gAgD02bZK6djWhrnlz6b//JdQBp4hgBwDwvA0bzGTDe/dKbdqY+epiYuyuCqj1CHYAAM/KypIuvVQ6cECKi5MyM82ACQCnzPZgN3v2bMXGxiokJETx8fFau3btCbf95ptvdM011yg2NlZ+fn6aNWvWKe8TAOBBGRlmSpPffjN3kli1SjrjDLurAryGrcFu6dKlSk5OVmpqqtavX6/27dsrKSlJ+/btq3D7/Px8NWvWTFOnTlXUCf7vrqr7BAB4yJtvSr17m3vAJiaaO0rUr293VYBXsTXYzZw5UyNGjNCwYcPUqlUrzZ07V6GhoVqwYEGF21900UV69NFHNWjQIAUHB9fIPgEAHvDCC9I110iFhdLVV0vvvCOddprdVQFex7bpTgoLC7Vu3TqlpKSUrfP391diYqKysrI8us+CggIVFBSUPc/NzZUkuVwuuVyuatXyZ0r36679o2roh7PQD2c51X74z52rgH/+U5JUcuONKp43T/L3l+hvtfD9cBZP9KMq+7Yt2B04cEDFxcWKjIwstz4yMlKbN2/26D6nTJmiiRMnHrd+5cqVCg0NrVYtlZWenu7W/aNq6Iez0A9nqXI/LEvNX39drV54QZL0Q+/e+qp/f2nlSjdU53v4fjiLO/uRn59f6W2ZoFhSSkqKkpOTy57n5uYqJiZGPXr0UHh4uFve0+VyKT09Xd27d1dgYKBb3gOVRz+chX44S7X6YVnyT0lRwP9CXfF99ylm4kTF+Pm5sVLfwPfDWTzRj9IziZVhW7CLiIhQQECAcnJyyq3Pyck54cAId+0zODi4wmv2AgMD3f6l8cR7oPLoh7PQD2epdD+KiqTbbpOee848f/RRBYwZowD3ludz+H44izv7UZX92jZ4IigoSB07dlRGRkbZupKSEmVkZCghIcEx+wQAVMHRo9KAASbU+ftLCxZIY8bYXRXgM2w9FZucnKyhQ4cqLi5OnTp10qxZs5SXl6dhw4ZJkoYMGaImTZpoypQpkszgiE2bNpUt7969Wxs3blS9evV03nnnVWqfAAA3yc2V+vWTVq+WgoOlJUvMcwAeY2uwGzhwoPbv368JEyYoOztbHTp0UFpaWtngh507d8rf/9hBxT179uiCCy4oez5jxgzNmDFD3bp1U2ZmZqX2CQBwg/37pV69pHXrpLAwM2fdpZfaXRXgc2wfPDF69GiNHj26wt+VhrVSsbGxsizrlPYJAKhhO3ZIPXpIW7ZIERFm4uGOHe2uCvBJtt9SDABQi335pdS5swl155wjffwxoQ6wEcEOAFA9H34oXXKJtHev1Lat9MknUosWdlcF+DSCHQCg6t5805x+/e03qUsXE/Kio+2uCvB5BDsAQNXMmyf17y8VFEhXXWXuJNGggd1VARDBDgBQWZYlpaaayYdLSqThw6XXX5fq1rW7MgD/Y/uoWACA8/kVFyvg9tvNhMOSNGGC9OCDErcIAxyFYAcAOLn8fHWaMkX+n39u7ibx9NPmqB0AxyHYAQBObP9+BVx5paI+/1xWSIj8Xn6Zu0kADkawAwBUbOtWqVcv+W/dqsJ69eT/zjuq062b3VUBOAkGTwAAjrdmjZSQIG3dKis2Vv+dOlVW5852VwXgTxDsAADlld7n9cABqWNHFX34oQ6fdZbdVQGoBIIdAOCYp582c9QdOSL17i1lZkpRUXZXBaCSCHYAADMv3Zgx0qhRZnnECHPkrl49uysDUAUMngAAX5efL910k7RsmXk+ebI0bhxz1AG1EMEOAHzZvn3mtmBr1khBQdLChdLgwXZXBaCaCHYA4Ks2bzbX0W3fLp1+urR8udS1q91VATgFXGMHAL5o9Wozncn27dK550pZWYQ6wAsQ7ADA1zz7rNSjh3TwoAl3WVlSixZ2VwWgBhDsAMBXlJRI994r3XqrVFRkrqX74AOpUSO7KwNQQwh2AOAL8vOlAQOk6dPN89RU6cUXpZAQe+sCUKMYPAEA3m7PHqlvX+nzz83I1wULpBtusLsqAG5AsAMAb7ZunZnOZM8e6YwzzMjXLl3srgqAm3AqFgC81WuvmZGue/ZIrVpJa9cS6gAvR7ADAG9jWebuEQMGmHu+9uplRr42a2Z3ZQDcjGAHAN7kyBFz/dwDD5jnd90lvf22FB5ua1kAPINr7ADAW+zebQZJrFsn1akjzZ4tjRxpd1UAPIhgBwDeYM0aqV8/KTvbDJJ47TXpb3+zuyoAHsapWACo7Z5/XurWzYS6Nm3MIAlCHeCTCHYAUFsVFUljxkhDh0oFBeY07CefMEgC8GEEOwCojX75RerdW3rsMfN8/Hhp2TIpLMzeugDYimvsAKC2+eorcz3dDz9IoaHSc89J111nd1UAHIBgBwC1yeuvm1OveXlSbKy5k0T79nZXBcAhOBULALVBcbGZm+7aa02ou/xyc+9XQh2A3+GIHQA43a+/mkmH33vPPL/7bmn6dDNXHQD8Dn8rAICTffmldPXV5nq6unWlefOkG2+0uyoADkWwAwCnWrJEGj5cys8319O98YbUoYPdVQFwMK6xAwCncbmkf/1LGjzYhLoePcz1dIQ6AH+CYAcATrJ3rxkYMXOmeT5unLRihblNGAD8CU7FAoBT/Pe/Zj667Gwz0fCiReb6OgCoJI7YAYDdLMscobv00mP3e/38c0IdgCrjiB0A2Ck31wyQeO018/z6683I19NOs7cuALUSwQ4A7PLFF9KAAdKWLVJgoPTvf0t33CH5+dldGYBaimAHAHZYsEAaNUo6elSKiZFeeUX661/trgpALcc1dgDgSfn50rBh5vTr0aNSr17Shg2EOgA1gmAHAJ6yebMUHy8tXCj5+0sPPyy98w5TmQCoMZyKBQBPeP556fbbzRG7yEjp5ZfNKFgAqEEcsQMAd8rPl265RRo61Cxfdpm0cSOhDoBbEOwAwF02bZI6dZKee86cep04UVq5UoqKsrsyAF6KU7EAUNMsS3r2Wemf/5SOHDFB7qWXOEoHwO0IdgBQk377TbrtNmnpUvO8e3dp8WJzXR0AuBmnYgGgpqxZI11wgQl1depI06ZJaWmEOgAewxE7ADhVJSXSo49K48dLRUVSbKwZ9crcdAA8jGAHAKdi924z4jUjwzy/7jrpP/+RGjSwtSwAvolTsQBQXW++KbVvb0JdaKg0f760ZAmhDoBtOGIHAFWVny/961/S3Lnm+YUXmlGv559vb10AfB5H7ACgKjZskOLijoW6sWOlrCxCHQBHINgBQGUUF5tRrvHx0rffmrnpVq6Upk+XgoLsrg4AJHEqFgD+3I8/SkOGSB9+aJ5ffbU0b54UEWFvXQDwBxyxA4ATsSzpxReldu1MqKtXT1qwQHr9dUIdAEfiiB0AVOTAAen226XXXjPPExLMHSTOPdfeugDgJDhiBwB/9O67Utu2JtTVqSM99JA5YkeoA+BwHLEDgFKHDplpTObPN89btTJH6S680N66AKCSOGIHAJKUmWkmG54/X/Lzk5KTpXXrCHUAahVHBLvZs2crNjZWISEhio+P19q1a0+6/auvvqqWLVsqJCREbdu21YoVK8r9/uabb5afn1+5R8+ePd35EQDUVnl50j//KV16qbR9u3TOOdIHH0iPPSaFhNhdHQBUie3BbunSpUpOTlZqaqrWr1+v9u3bKykpSfv27atw+08++USDBw/W8OHDtWHDBvXr10/9+vXT119/XW67nj17au/evWWPl19+2RMfB0Bt8tFH5ijdk0+a5yNHSl9+Kf3tb7aWBQDVZXuwmzlzpkaMGKFhw4apVatWmjt3rkJDQ7VgwYIKt3/88cfVs2dPjR07Vn/5y180adIkXXjhhXrqqafKbRccHKyoqKiyR8OGDT3xcQDUBvn55lTrJZdI27ZJZ50lvf++9J//SOHhdlcHANVm6+CJwsJCrVu3TikpKWXr/P39lZiYqKysrApfk5WVpeTk5HLrkpKStHz58nLrMjMzdeaZZ6phw4a67LLLNHnyZJ1xxhkV7rOgoEAFBQVlz3NzcyVJLpdLLperOh/tT5Xu1137R9XQD2dxZz/8PvxQAbfdJr9t2yRJJTffrOJHH5Xq15fof4X4fjgL/XAWT/SjKvu2NdgdOHBAxcXFioyMLLc+MjJSmzdvrvA12dnZFW6fnZ1d9rxnz57q37+/mjZtqm3btmncuHHq1auXsrKyFBAQcNw+p0yZookTJx63fuXKlQoNDa3OR6u09PR0t+4fVUM/nKUm+xFw5IhaLV6sZv+7JvfIGWdo4+23a19cnPTxxzX2Pt6M74ez0A9ncWc/8vPzK72tV053MmjQoLLltm3bql27djr33HOVmZmpyy+//LjtU1JSyh0FzM3NVUxMjHr06KFwN52WcblcSk9PV/fu3RUYGOiW90Dl0Q9nqel++GVkKODOO+X344+SpJLhw1Vn6lTF1a9/yvv2BXw/nIV+OIsn+lF6JrEybA12ERERCggIUE5OTrn1OTk5ioqKqvA1UVFRVdpekpo1a6aIiAht3bq1wmAXHBys4ODg49YHBga6/UvjifdA5dEPZznlfvzyizRmjPTcc+Z5bKw0f778ExPtv8C4FuL74Sz0w1nc2Y+q7NfWv9uCgoLUsWNHZWRklK0rKSlRRkaGEhISKnxNQkJCue0lc/jzRNtL0q5du/Tzzz+rcePGNVM4AGezLOnVV80Ew889Z+alGz1a+uorKTHR7uoAwG1sPxWbnJysoUOHKi4uTp06ddKsWbOUl5enYcOGSZKGDBmiJk2aaMqUKZKkO++8U926ddNjjz2mPn36aMmSJfr88881b948SdLhw4c1ceJEXXPNNYqKitK2bdt0zz336LzzzlNSUpJtnxOAh+zeLY0aJb35pnn+l79Izzwjde5sb10A4AG2B7uBAwdq//79mjBhgrKzs9WhQwelpaWVDZDYuXOn/P2PHVjs3LmzXnrpJY0fP17jxo1T8+bNtXz5crVp00aSFBAQoC+//FKLFi3SwYMHFR0drR49emjSpEkVnm4F4CWKi810JSkpUm6uFBholseNk/juA/ARtgc7SRo9erRGjx5d4e8yMzOPWzdgwAANGDCgwu3r1q2r999/vybLA+B0X35pJhdes8Y879RJevZZ6X//wwcAvoLrhwHUXvn50n33SR07mlAXFmbuIvHJJ4Q6AD7JEUfsAKDK3nvPXEu3fbt5fvXVJtQ1aWJvXQBgI47YAahddu2Srr1W6t3bhLqzzpKWL5eWLSPUAfB5BDsAtUNRkfTvf5tRrq+/LgUEmPu9btok9e1rd3UA4AicigXgfB99ZOah++IL8zwhQZo7V2rXzt66AMBhOGIHwLlycqShQ6WuXU2oO/10af58E/QIdQBwHI7YAXCeoiI1e/tt1RkyxMxJ5+cn3Xqr9MgjUkSE3dUBgGMR7AA4S2am6vzjH2r79dfmeVycNHu2mZsOAHBSnIoF4Aw//ihdd5106aXy+/prFYaFqejpp6VPPyXUAUAlccQOgL2OHJGmT5emTpWOHpX8/VU8cqRWde6s7oMGmdGvAIBK4YgdAHtYlrRkidSypfTggybUdesmbdigkieekCs83O4KAaDWIdgB8Ly1a6UuXaTBg6WdO6WYGGnpUmn1aka7AsApINgB8Jxdu6QhQ6T4eHM/19BQ6aGHpM2bzfV1fn52VwgAtRrX2AFwv0OHzHV0jz1mrqmTzPx0Dz/MbcAAoAYR7AC4T1GR9Oyz0oQJ0r59Zl2XLubWYHFx9tYGAF6IYAeg5lmWtGKFdM895l6uknTeeeaoXb9+nHIFADfhGjsANWvNGunSS6UrrjCh7vTTpccfl775Rrr6akIdALgRR+wA1IzvvpPuv196/XXzPDhY+uc/pXHjpAYNbC0NAHwFwQ7Aqdm924xsffZZqbhY8vc3AyMmTjTTmAAAPIZgB6B6DhyQpk2TnnrKTC4sSVdeKT3yiNSmjb21AYCPItgBqJpDh8yo1hkzzLJkRro+8ojUtau9tQGAjyPYAaicvDzp6afNyNYDB8y6Dh1MoOvZk0ERAOAABDsAJ3f0qDR3rjR1qpSTY9Y1by5NmiQNGGCuqQMAOALBDkDFjh41AyIeeUTas8esa9rUTDZ8441SHf76AACn4W9mAOUdPSrNn28GRuzebdadfbb0wANmtGtgoL31AQBOiGAHwDhyRJo3zwS6vXvNurPOklJSpOHDzbx0AABHI9gBvu7QIXMN3WOPHbuG7uyzTaAbNoxABwC1CMEO8FW//CI98YR5/PqrWXfOOeZOETffLAUF2VoeAKDqCHaAr9mzR5o1S5ozRzp82Kxr0cIcobvhBq6hA4BajGAH+IrvvpMefVRavFgqLDTr2rc393ft318KCLC3PgDAKSPYAd5u7VozIOKNNyTLMuu6dJHuu0/q3ZuJhQHAixDsAG9UUiK9/ba57ddHHx1bf9VV0r33Sp0721cbAMBtCHaAN8nPl55/Xpo5U9qyxawLDJSuv14aO1Zq3dre+gAAbkWwA7zB7t3mPq7/+Y/0889mXYMG0t//Lv3jH1J0tK3lAQA8g2AH1GZr10qPPy698opUVGTWxcZKd98t3XKLVK+ereUBADyLYAfUNoWF0muvSU89JWVlHVt/ySXSnXea6+i4jysA+CT+9gdqi927zanWefOO3SEiMFAaPNgEugsvtLc+AIDtCHaAk5WUSKtXm1t+vfGGVFxs1kdHm+vnRoyQoqLsrREA4BgEO8CJfv5ZWrjQHKErHd0qmdOto0dL/fpxhwgAwHEIdoBTWJb04YfS/PnmGrqCArM+LEy66Sbpttukdu3srREA4GgEO8BuOTnSokXSM8+UPzp3wQXS7beba+gY3QoAqASCHWAHl0tKS5Oee87cIaJ0qpJ69cxkwrfeKsXFcbsvAECVEOwAT/r6axPmXnhB2rfv2PqEBBPmrruOo3MAgGoj2AHulpMjLVkiLV4srVt3bP2ZZ5pr526+WWrTxrbyAADeg2AHuEN+vvTmmybMrVx5bJqSOnWkK6+Uhg2TevZkZCsAoEYR7ICaUlgopadLL79sQt3hw8d+Fx8v3XijNHCg1KiRfTUCALwawQ44FcXFZoqSJUvMFCW//HLsd02bmjB3441Sixb21QgA8BkEO6CqSsPcK69Iy5aVHwQRGWmOyg0ebI7SMaoVAOBBBDugMgoLpcxME+TeeKN8mDv9dOnqq02Y+9vfpIAAu6oEAPg4gh1wInl50vvvmzD3zjvSb78d+11pmBswQLrsMgZBAAAcgWAH/N6ePSbMvfWWlJEhHT167HeRkeYerVdfTZgDADgSwQ6+raREWr9e/m+/rUteekmBW7eW/33TpibI9e8v/fWvnGYFADgawQ6+59dfzdxyK1aY23rt26cASQ1Lfx8fL111lXm0bs0ACABArUGwg/dzuaS1a80p1pUrpc8+M0fqStWrp5LLL9cXZ52lNvfeq8CYGPtqBQDgFBDs4H0sS9q0yVwj98EH0urVUm5u+W3+8hepTx+pd2/p4otV7OennStWqE1UlD01AwBQAwh2qP0sS/ruOzO33OrVJsz9fjoSyYxi7d5d6tHD/PzjUTmXy3P1AgDgJgQ71D7FxdLXX5sgV/r4Y5CrW1fq2tWMXr38cumCCxj4AADwegQ7ON+hQ9KaNdLHH5vHp5+adb8XEmJGrV5yiQly8fFScLA99QIAYBOCHZylqEj65hsT5EofmzaZ062/FxYmJSRI3bqZMHfRRQQ5AIDPI9jBPkVF0ubN0rp10uefm58bN0pHjhy/7TnnSBdfbB6dO0tt23JqFQCAPyDYwTN++0368kvpiy9MePviC3Od3O/v7FAqLEzq1Mk84uPNg9GqAAD8KYIdatbBg2aE6qZN5pTq11+bn7t2Vbx9WJgZ2NCxo3nExUnNm0v+/h4tGwAAb0CwQ9UdPSpt3y5t3Woe331nHps3S9nZJ35dTIzUoYPUvv2xn82aEeIAAKghjgh2s2fP1qOPPqrs7Gy1b99eTz75pDp16nTC7V999VU98MAD2rFjh5o3b65p06apd+/eZb+3LEupqamaP3++Dh48qIsvvlhz5sxR8+bNPfFxaj+XS9qzR/rxR2nHDhPiduwwj23bzNG3Pw5m+L3oaKllS6lNG/No3Vpq1Upq0MAz9QMA4KNsD3ZLly5VcnKy5s6dq/j4eM2aNUtJSUn67rvvdOaZZx63/SeffKLBgwdrypQpuuKKK/TSSy+pX79+Wr9+vdq0aSNJmj59up544gktWrRITZs21QMPPKCkpCRt2rRJISEhnv6IzlFYKB04IOXkmCNre/cee+zZYwLbTz+Z358suEnmFGrz5tJ555mfLVuaR4sWUni4Zz4PAAAox/ZgN3PmTI0YMULDhg2TJM2dO1fvvvuuFixYoPvuu++47R9//HH17NlTY8eOlSRNmjRJ6enpeuqppzR37lxZlqVZs2Zp/Pjx6tu3ryTp+eefV2RkpJYvX65BgwZ57sPVpOJiM1o0P9/8PHzYzOWWm3vs52+/mRvclz4OHpR+/lnav988fvut8u8XFGROnTZtKsXGHns0bWqCXESE5Ofnns8KAACqxdZgV1hYqHXr1iklJaVsnb+/vxITE5WVlVXha7KyspScnFxuXVJSkpYvXy5J2r59u7Kzs5WYmFj2+/r16ys+Pl5ZWVkVBruCggIVFBSUPc/9331FXS6XXO641ZTLpYCEBP0tN1cB998vy7LMTelLH4WF5uFymZ9Hj8qvhuqw/P2lRo2kqChZjRtLkZGyoqKkxo1lnXWWrJgYqUkTs83JgltRUY3U4xSlfXZLv1Fl9MNZ6Iez0A9n8UQ/qrJvW4PdgQMHVFxcrMjIyHLrIyMjtXnz5gpfk52dXeH22f+7aL/058m2+aMpU6Zo4sSJx61fuXKlQkNDK/dhqsCvuFhXffml6lfz9UVBQSoOCVFR3brlHq7QULnq1ZPrtNNUGBYm12mnyRUWpoLwcBXWr6+C8HC5Tjvt5IMVSk/N+qj09HS7S8Dv0A9noR/OQj+cxZ39yM/Pr/S2tp+KdYKUlJRyRwFzc3MVExOjHj16KNwd14tZlo6+8YbWb9yoC+PiVCcoyIQtf38z6W5QkKzAQHM6NDDQ3FEhNNQ8goMlf3/5Swr63wOnzuVyKT09Xd27d1dgYKDd5fg8+uEs9MNZ6IezeKIfpWcSK8PWYBcREaGAgADl5OSUW5+Tk6OoE0xIGxUVddLtS3/m5OSocePG5bbp0KFDhfsMDg5WcAW3owoMDHTfl6ZPH+3381NAUpLq8MV0DLf2HFVGP5yFfjgL/XAWd/ajKvu1dQKxoKAgdezYURkZGWXrSkpKlJGRoYSEhApfk5CQUG57yRz+LN2+adOmioqKKrdNbm6u1qxZc8J9AgAAeAPbT8UmJydr6NChiouLU6dOnTRr1izl5eWVjZIdMmSImjRpoilTpkiS7rzzTnXr1k2PPfaY+vTpoyVLlujzzz/XvHnzJEl+fn666667NHnyZDVv3rxsupPo6Gj169fPro8JAADgdrYHu4EDB2r//v2aMGGCsrOz1aFDB6WlpZUNfti5c6f8f3exf+fOnfXSSy9p/PjxGjdunJo3b67ly5eXzWEnSffcc4/y8vI0cuRIHTx4UF26dFFaWppvz2EHAAC8nu3BTpJGjx6t0aNHV/i7zMzM49YNGDBAAwYMOOH+/Pz89NBDD+mhhx6qqRIBAAAcj5t0AgAAeAmCHQAAgJcg2AEAAHgJgh0AAICXINgBAAB4CYIdAACAlyDYAQAAeAmCHQAAgJcg2AEAAHgJgh0AAICXINgBAAB4CUfcK9ZpLMuSJOXm5rrtPVwul/Lz85Wbm6vAwEC3vQ8qh344C/1wFvrhLPTDWTzRj9I8UppPToZgV4FDhw5JkmJiYmyuBAAAwDh06JDq169/0m38rMrEPx9TUlKiPXv2KCwsTH5+fm55j9zcXMXExOinn35SeHi4W94DlUc/nIV+OAv9cBb64Sye6IdlWTp06JCio6Pl73/yq+g4YlcBf39/nXXWWR55r/DwcL6YDkI/nIV+OAv9cBb64Szu7sefHakrxeAJAAAAL0GwAwAA8BIEO5sEBwcrNTVVwcHBdpcC0Q+noR/OQj+chX44i9P6weAJAAAAL8EROwAAAC9BsAMAAPASBDsAAAAvQbBzo9mzZys2NlYhISGKj4/X2rVrT7r9q6++qpYtWyokJERt27bVihUrPFSpb6hKP+bPn6+uXbuqYcOGatiwoRITE/+0f6iaqn4/Si1ZskR+fn7q16+fewv0MVXtx8GDBzVq1Cg1btxYwcHBatGiBX9n1aCq9mPWrFk6//zzVbduXcXExOjuu+/W0aNHPVStd/vwww915ZVXKjo6Wn5+flq+fPmfviYzM1MXXnihgoODdd5552nhwoVur7OMBbdYsmSJFRQUZC1YsMD65ptvrBEjRlgNGjSwcnJyKtz+448/tgICAqzp06dbmzZtssaPH28FBgZaX331lYcr905V7cf1119vzZ4929qwYYP17bffWjfffLNVv359a9euXR6u3DtVtR+ltm/fbjVp0sTq2rWr1bdvX88U6wOq2o+CggIrLi7O6t27t/XRRx9Z27dvtzIzM62NGzd6uHLvVNV+vPjii1ZwcLD14osvWtu3b7fef/99q3Hjxtbdd9/t4cq904oVK6z777/fWrZsmSXJeuONN066/Q8//GCFhoZaycnJ1qZNm6wnn3zSCggIsNLS0jxSL8HOTTp16mSNGjWq7HlxcbEVHR1tTZkypcLtr7vuOqtPnz7l1sXHx1u33XabW+v0FVXtxx8VFRVZYWFh1qJFi9xVok+pTj+Kioqszp07W88884w1dOhQgl0Nqmo/5syZYzVr1swqLCz0VIk+par9GDVqlHXZZZeVW5ecnGxdfPHFbq3TF1Um2N1zzz1W69aty60bOHCglZSU5MbKjuFUrBsUFhZq3bp1SkxMLFvn7++vxMREZWVlVfiarKyscttLUlJS0gm3R+VVpx9/lJ+fL5fLpdNPP91dZfqM6vbjoYce0plnnqnhw4d7okyfUZ1+vPXWW0pISNCoUaMUGRmpNm3a6JFHHlFxcbGnyvZa1elH586dtW7durLTtT/88INWrFih3r17e6RmlGf3v+fcK9YNDhw4oOLiYkVGRpZbHxkZqc2bN1f4muzs7Aq3z87OdludvqI6/fije++9V9HR0cd9WVF11enHRx99pGeffVYbN270QIW+pTr9+OGHH/TBBx/ohhtu0IoVK7R161bdcccdcrlcSk1N9UTZXqs6/bj++ut14MABdenSRZZlqaioSH//+981btw4T5SMPzjRv+e5ubk6cuSI6tat69b354gd8CemTp2qJUuW6I033lBISIjd5ficQ4cO6aabbtL8+fMVERFhdzmQVFJSojPPPFPz5s1Tx44dNXDgQN1///2aO3eu3aX5pMzMTD3yyCN6+umntX79ei1btkzvvvuuJk2aZHdpsAFH7NwgIiJCAQEBysnJKbc+JydHUVFRFb4mKiqqStuj8qrTj1IzZszQ1KlTtWrVKrVr186dZfqMqvZj27Zt2rFjh6688sqydSUlJZKkOnXq6LvvvtO5557r3qK9WHW+H40bN1ZgYKACAgLK1v3lL39Rdna2CgsLFRQU5NaavVl1+vHAAw/opptu0q233ipJatu2rfLy8jRy5Ejdf//98vfnGI4nnejf8/DwcLcfrZM4YucWQUFB6tixozIyMsrWlZSUKCMjQwkJCRW+JiEhodz2kpSenn7C7VF51emHJE2fPl2TJk1SWlqa4uLiPFGqT6hqP1q2bKmvvvpKGzduLHtcddVVuvTSS7Vx40bFxMR4snyvU53vx8UXX6ytW7eWBWxJ+v7779W4cWNC3SmqTj/y8/OPC2+lodvirqEeZ/u/5x4ZouGDlixZYgUHB1sLFy60Nm3aZI0cOdJq0KCBlZ2dbVmWZd10003WfffdV7b9xx9/bNWpU8eaMWOG9e2331qpqalMd1KDqtqPqVOnWkFBQdZrr71m7d27t+xx6NAhuz6CV6lqP/6IUbE1q6r92LlzpxUWFmaNHj3a+u6776x33nnHOvPMM63Jkyfb9RG8SlX7kZqaaoWFhVkvv/yy9cMPP1grV660zj33XOu6666z6yN4lUOHDlkbNmywNmzYYEmyZs6caW3YsMH68ccfLcuyrPvuu8+66aabyrYvne5k7Nix1rfffmvNnj2b6U68xZNPPmmdffbZVlBQkNWpUyfr008/Lftdt27drKFDh5bb/pVXXrFatGhhBQUFWa1bt7beffddD1fs3arSj3POOceSdNwjNTXV84V7qap+P36PYFfzqtqPTz75xIqPj7eCg4OtZs2aWQ8//LBVVFTk4aq9V1X64XK5rAcffNA699xzrZCQECsmJsa64447rF9//dXzhXuh1atXV/jvQWkPhg4danXr1u2413To0MEKCgqymjVrZj333HMeq9fPsjhOCwAA4A24xg4AAMBLEOwAAAC8BMEOAADASxDsAAAAvATBDgAAwEsQ7AAAALwEwQ4AAMBLEOwAAAC8BMEOAADASxDsAAAAvATBDgAAwEsQ7ACgBu3fv19RUVF65JFHytZ98sknCgoKUkZGho2VAfAFfpZlWXYXAQDeZMWKFerXr58++eQTnX/++erQoYP69u2rmTNn2l0aAC9HsAMANxg1apRWrVqluLg4ffXVV/rss88UHBxsd1kAvBzBDgDc4MiRI2rTpo1++uknrVu3Tm3btrW7JAA+gGvsAMANtm3bpj179qikpEQ7duywuxwAPoIjdgBQwwoLC9WpUyd16NBB559/vmbNmqWvvvpKZ555pt2lAfByBDsAqGFjx47Va6+9pi+++EL16tVTt27dVL9+fb3zzjt2lwbAy3EqFgBqUGZmpmbNmqXFixcrPDxc/v7+Wrx4sf773/9qzpw5dpcHwMtxxA4AAMBLcMQOAADASxDsAAAAvATBDgAAwEsQ7AAAALwEwQ4AAMBLEOwAAAC8BMEOAADASxDsAAAAvATBDgAAwEsQ7AAAALwEwQ4AAMBLEOwAAAC8xP8DnMPxB83dc2gAAAAASUVORK5CYII=",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "f = lambda u: 1/4 * u**2\n",
+    "\n",
+    "system.set_f(f)\n",
+    "system.plot_f(np.linspace(0,1,101))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/var/folders/v_/5q1gkdc53z34pdsfnpkx2t340000gn/T/ipykernel_67651/4144643944.py:3: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n",
+      "  fig.show()\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1500x500 with 3 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "system.solve()\n",
+    "system.plot_solution(u=np.linspace(0,1,101))\n",
+    "fig.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "base",
+   "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": "3.12.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/Project2/src/ProjectCode.ipynb b/Project2/src/ProjectCode.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..9ca41344336671f36404d8c1a4da41cb7720e3fb
--- /dev/null
+++ b/Project2/src/ProjectCode.ipynb
@@ -0,0 +1,266 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np \n",
+    "import matplotlib.pyplot as plt"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 26,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "Nx = 200\n",
+    "x0, x1 = 0, 3/2\n",
+    "dx = (x1 - x0) / Nx\n",
+    "x = np.linspace(x0, x1, Nx)\n",
+    "\n",
+    "Ntime = 1000\n",
+    "T_end = 1.0\n",
+    "dt = T_end / Ntime"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x11b698b00>]"
+      ]
+     },
+     "execution_count": 27,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "u0 = np.where(\n",
+    "    x <= 1/2,\n",
+    "    2*x,\n",
+    "    np.where(\n",
+    "        x <= 1,\n",
+    "        1,\n",
+    "        np.where(\n",
+    "            x <= 3/2,\n",
+    "            3 - 2 * x,\n",
+    "            0\n",
+    "        )\n",
+    "    )\n",
+    ")\n",
+    "\n",
+    "plt.plot(x, u0)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x11b6ed6a0>]"
+      ]
+     },
+     "execution_count": 28,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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pyaGMAACaLJfL0J/f/1F7jpQqLjxQL97YV74sgNfgKCMAgCbr1X/v1JLNebL6WvTKTf1YAM8klBEAQJP07fbDeu7LbZKkJ67uoT7x4eYGasIoIwCAJienoFT3z1tXPbHZ0JQ2Zkdq0igjAIAmpbzSqbveydSx0kr1bh3GxGaNAGUEANBkGIahxxZu1KYDdjUPturVm5nYrDGgjAAAmox3VmVrQeY+WXykl4b2VVx4oNmRIMoIAKCJ+GFPgZ74ZJMk6eFLu2pgx0iTE+EXlBEAgNfLs5frnnfXqspl6IpeMbrz/PZmR8J/oYwAALxaRZVTd7+TqcNFFeoSHaJnr+8tHx8mNmtMKCMAAK/2xKebtTb7+Eq8/xiepGCbn9mR8D8oIwAArzVvdbbmrsqWj4/04tC+SogMNjsSToIyAgDwSpl7j2rix8cHrGakd9aFXaJMToRToYwAALxOnr1cd7+TKYfTpUt7tNLoCzuaHQmnQRkBAHiViiqn7nw7U4eKKtQ5upmeu6GPLKzE26hRRgAAXsMwDE1YuFFZOccHrM4cnqxmDFht9CgjAACv8c73e/X+mp9nWB3WjwGrHoIyAgDwCqt2HdETn26WdHyG1Qs6tzQ5EWqKMgIA8Hg5BaW6++cZVgf3iWWGVQ9DGQEAeLRSR5XueDtTBSUO9YgN1bPXMcOqp6GMAAA8lmEYeuiD9dpy0K7IZlbNHJGsQKuv2bHgJsoIAMBjvfz1Dn2+4aD8fX306s1JigsPNDsSaoEyAgDwSEs25+n5JdslSX+9uqf6JzQ3ORFqizICAPA4W3PtenDeOknSiLS2GprSxuREOBuUEQCARykocei2OWtU4nDqnPbNNeHK7mZHwlmijAAAPIajyqW738nUvqNlatM8SK/elCR/X97KPB1/gwAAj2AYhh7/dJNW7S5QM5ufXhuZrIhgq9mxUAcoIwAAj/D293s1d1W2fHykF29MVOfoELMjoY5QRgAAjd7yn/Krp3p/5NKu+n23aJMToS5RRgAAjdquw8W6591MOV2G/tA3jqnevRBlBADQaBWWVurWOWtkL69SvzbhmnJtL6Z690KUEQBAo1TpdOmeuZnanV+iuPBA/WN4sgL8merdG1FGAACNjmEYevyTTfpuxxEFWX312shktQyxmR0L9YQyAgBodN5auVfvVt8501fdYkLNjoR6RBkBADQqy7Yd0hOfbpIkjb20qy7uzp0z3o4yAgBoNLblFuneuevkMqTrk1rrDu6caRIoIwCARiG/uEK3zvlBxRVVSmnXXJP/wJ0zTQVlBABguvJKp+54a432HS1TQosg/ePmJFn9eItqKvibBgCYyjAMPbxgvdZmH1NogJ9m39KfNWeaGMoIAMBULy79SZ/8eEB+Fh+9enOSOrRsZnYkNDDKCADANB+t26dpX/0kSXrymp4a2DHS5EQwA2UEAGCK1bsL9MiCDZKkOy9or6EpbUxOBLNQRgAADW53fonueHuNHE6XLuvZSo8M6mp2JJioVmVk+vTpSkhIUEBAgFJTU7V69erT7n/s2DGNHj1aMTExstls6ty5sxYtWlSrwAAAz3a0xKFRb6zWsdJK9YkP19+HJMpi4RbepszP3QPmz5+vjIwMzZgxQ6mpqZo2bZoGDRqkbdu2KSoq6jf7OxwOXXzxxYqKitKCBQsUFxenvXv3Kjw8vC7yAwA8SEWVU3e+nak9R0oVFx6o10aw+B0kH8MwDHcOSE1NVf/+/fXyyy9Lklwul+Lj43Xfffdp7Nixv9l/xowZ+tvf/qatW7fK39+/ViHtdrvCwsJUWFio0FDWJwAAT+RyGXpwfpY++fGAQmx++vCeAeoUHWJ2LNSjmr5/u/UxjcPhUGZmptLT03/9BhaL0tPTtXLlypMe88knnygtLU2jR49WdHS0evbsqcmTJ8vpdJ7yeSoqKmS32094AAA82/NLtlXfwjtjeBJFBNXcKiP5+flyOp2Kjj5x0aLo6Gjl5uae9Jhdu3ZpwYIFcjqdWrRokSZMmKDnn39eTz311CmfZ8qUKQoLC6t+xMfHuxMTANDIzFudrenf7JQkTb2uN7fw4gT1fjeNy+VSVFSUZs6cqaSkJA0ZMkTjx4/XjBkzTnnMuHHjVFhYWP3Iycmp75gAgHry7+2HNX7hRknSA7/vpOuTWpucCI2NWwNYIyMj5evrq7y8vBO25+XlqVWrVic9JiYmRv7+/vL1/XWAUrdu3ZSbmyuHwyGr9bdT/tpsNtlsNneiAQAaoc0H7Br97lo5XYau7RunB9M7mR0JjZBbV0asVquSkpK0dOnS6m0ul0tLly5VWlraSY8ZOHCgduzYIZfLVb1t+/btiomJOWkRAQB4hwPHyjTqzdUqrqhSWvsWmnpdb1bhxUm5/TFNRkaGZs2apTlz5mjLli26++67VVJSolGjRkmSRowYoXHjxlXvf/fdd6ugoEAPPPCAtm/frs8//1yTJ0/W6NGj6+5VAAAalcKySo164wfl2SvUKaqZZrAKL07D7XlGhgwZosOHD2vixInKzc1VYmKiFi9eXD2oNTs7WxbLrz9w8fHx+uKLLzRmzBj17t1bcXFxeuCBB/TII4/U3asAADQajiqX7no7U9vyihQVYtObf0pRWFDtpnZA0+D2PCNmYJ4RAPAMhmFozPwsLcw6oGCrr96/K009YsPMjgWT1Ms8IwAAnM7fvtimhVnH5xJ59eYkighqhDICAKgTb3+/V68sOz6XyJRre+n8zi1NTgRPQRkBAJy1LzblatLHx+cSeTC9k/6YzGSVqDnKCADgrKzZU6D731snlyENTYnXA79nLhG4hzICAKi1HYeKdOucNaqocun3XaP05NU9mUsEbqOMAABqJc9erpGv/6DCskolxofrpWF95efL2wrcx08NAMBt9vJKjXx9tfYfK1O7yGC9fkt/BVndnroKkEQZAQC4qbzSqdvnrNHW3CJFNrNpzqgUNQ9meQ/UHmUEAFBjTtfxSc1W7S5QM5uf3hzVX21aBJkdCx6OMgIAqBHDMDTpk43618ZcWX0tmjk8ST3jmNQMZ48yAgCokZe+3qF3vs+Wj4/09yGJGtAx0uxI8BKUEQDAGc1dla0XlmyXJD0+uIeu6B1jciJ4E8oIAOC0Fm04qPELN0iS7r2wo0YOSDA3ELwOZQQAcEorduTrwXlZMgxpaEob/fmSzmZHgheijAAATmrDvkLd/tYaOZwuXdqjlZ66htlVUT8oIwCA39h1uFi3vLFaJQ6n0tq30LQbE+VroYigflBGAAAnOFhYpuGzV+tIiUM940I1c0SSAvx9zY4FL0YZAQBUKyhxaPjsX6d5f3NUikIC/M2OBS9HGQEASJKKK6p0yxurteNQsWLCAvT2rSmKbGYzOxaaAMoIAKB6vZn1+wrVPNiqt29NVesIpnlHw6CMAEATV+V06b731mnlriNqZvPTnFEp6hjVzOxYaEIoIwDQhLlchh5esF5LNufJ6mfRrBHJ6tWa9WbQsCgjANBEGYahxz/dpA/X7ZevxUfTh/VTWocWZsdCE0QZAYAm6rkvt+mtlXvl4yO9cEMfXdw92uxIaKIoIwDQBL26bKemf7NTkvTUNT11dWKcyYnQlFFGAKCJefv7vXpm8VZJ0rjLuuqm1LYmJ0JTRxkBgCbkn5n7NGHhRknHV+C984IOJicCKCMA0GQs2nBQDy34UZJ0y4AEVuBFo0EZAYAm4Outebr/vXVyGdINya018crurMCLRoMyAgBebsWOfN31zlpVuQwN7hOrKdf2loUVeNGIUEYAwItl7i3QbW+tkaPKpYu7R+uFG/rIlyKCRoYyAgBe6secY7rl9R9U6nDqvE6RenlYX/n78msfjQ8/lQDghTYdKNTw2atUVFGl1HbNNXN4smx+vmbHAk6KMgIAXmZbbpFufm2V7OVVSmoboddv6a9AK0UEjRdlBAC8yM7DxbrptVU6WlqpPq3D9Mao/gq2+ZkdCzgtyggAeIk9+SUaNut75RdXqHtMqN76U6pCA/zNjgWcEWUEALxA9pFSDZ31vfLsFeoc3Uzv3JaqsCCKCDwDZQQAPFxOwfEicrCwXB2jmund285R82Cr2bGAGqOMAIAH23+sTENnfa/9x8rUvmWw5t6eqpYhNrNjAW6hjACAhzpYWKahM7/XvqNlahcZrPduP0dRIQFmxwLcRhkBAA/0SxHJLihVm+ZBmnt7qqJDKSLwTJQRAPAwvxSRPUdKFd88UO/dcY5iwgLNjgXUGmUEADxIbmH5iUXk9nMUF04RgWejjACAh8gtLNeNM1dqz5FStY44XkRaRwSZHQs4a5QRAPAABwuP3zXzSxGZdwdFBN6DOYIBoJHbf+zXwaoUEXgjyggANGL7jh6f0CynoKz6rhmKCLwNZQQAGqmcglLdOPP4hGYJLYI09/ZzFMtgVXghyggANEJ7j5Ro6MzvdaCwXO0jgzX39nPUKox5ROCdKCMA0MjsPFysm2atUq69XB1a/jyzKhOawYtRRgCgEdmeV6Rhs1Ypv7hCnaKa6d3bU5niHV6PMgIAjcTmA3bdPHuVCkoc6hYTqnduTVGLZix6B+9HGQGARmD9vmMaPnu1Cssq1bt1mN76U4rCg6xmxwIaBGUEAEyWubdAt7zxg4rKq9S3Tbjm/ClFoQH+ZscCGgxlBABMtGJHvm57a41KHU6lJDTX66P6q5mNX81oWviJBwCTfL01T3e9s1aOKpfO6xSpmcOTFWj1NTsW0OBqtTbN9OnTlZCQoICAAKWmpmr16tU1Om7evHny8fHRNddcU5unBQCvsWjDQd35dqYcVS5d3D1ar42kiKDpcruMzJ8/XxkZGZo0aZLWrl2rPn36aNCgQTp06NBpj9uzZ4/+8pe/6Lzzzqt1WADwBh+u3ad7565VpdPQ4D6xeuWmfrL5UUTQdLldRl544QXdfvvtGjVqlLp3764ZM2YoKChIr7/++imPcTqduummm/TEE0+offv2ZxUYADzZ2yv3KOP9H+UypBuSW2vakET5+7KAOpo2t/4FOBwOZWZmKj09/ddvYLEoPT1dK1euPOVxf/3rXxUVFaVbb721Rs9TUVEhu91+wgMAPN30b3ZowsebJEm3DEjQ1Gt7y9fiY3IqwHxuDWDNz8+X0+lUdHT0Cdujo6O1devWkx6zfPlyzZ49W1lZWTV+nilTpuiJJ55wJxoANFqGYeiZxds04987JUn3X9RRYy7uLB8figgg1XIAa00VFRVp+PDhmjVrliIjI2t83Lhx41RYWFj9yMnJqceUAFB/XC5Djy3cWF1Exl/eTRmXdKGIAP/FrSsjkZGR8vX1VV5e3gnb8/Ly1KpVq9/sv3PnTu3Zs0eDBw+u3uZyuY4/sZ+ftm3bpg4dOvzmOJvNJpuNKZABeDZHlUt//uBHffrjAfn4SJP/0EtDU9qYHQtodNy6MmK1WpWUlKSlS5dWb3O5XFq6dKnS0tJ+s3/Xrl21YcMGZWVlVT+uuuoqXXjhhcrKylJ8fPzZvwIAaITKHE7d/tYaffrjAflZfPTijX0pIsApuD3pWUZGhkaOHKnk5GSlpKRo2rRpKikp0ahRoyRJI0aMUFxcnKZMmaKAgAD17NnzhOPDw8Ml6TfbAcBbFJZW6k9zflDm3qMK8Ldoxs1J+l2XKLNjAY2W22VkyJAhOnz4sCZOnKjc3FwlJiZq8eLF1YNas7OzZbFwmxqApumQvVwjXl+trblFCg3w0xuj+iupbXOzYwGNmo9hGIbZIc7EbrcrLCxMhYWFCg0NNTsOAJzU3iMlGj57tbILStUyxKa3/pSibjH8zkLTVdP3b9amAYA6sHF/oW55Y7Xyix1q0zxIb9+aorYtgs2OBXgEyggAnKWVO4/o9rfWqLiiSt1jQvXmn/orKiTA7FiAx6CMAMBZWLzxoO5/L0sOp0vntG+umSOSFRrgb3YswKNQRgCglt5dtVcTFm6Uy5Au7dFK025MVIA/C94B7qKMAICbDMPQ35ds1/99vUOSNDSljZ66pifrzAC1RBkBADdUOV0a/9FGzV9zfJmKB37fSQ+md2J6d+AsUEYAoIZKHVW6d+46fb31kCw+0lPX9NKwVGZVBc4WZQQAauBIcYVunbNGWTnHZPOz6OVh/XRx9+gzHwjgjCgjAHAGe/JLdMsbq7XnSKnCAv31+i3JzKoK1CHKCACcxtrso7ptzhoVlDjUOiJQb45KUceoZmbHArwKZQQATuHLTbm6f946lVe61CsuTLNvSWYyM6AeUEYA4CTmrNijJz7dJJchXdilpV4e1k/BNn5lAvWBf1kA8F+cLkOTF23R7OW7JUlDU+L15NU95efLauRAfaGMAMDPyhxOPTh/nb7YlCdJemhQF93zuw7MIQLUM8oIAEg6XFSh295aox9zjsnqa9FzN/TRVX1izY4FNAmUEQBN3k95RfrTnB+UU1Cm8CB/zRyerJR23LoLNBTKCIAm7T8/HdY976xVUUWV2rYI0hu39Ff7lty6CzQkygiAJuvdVXs18eNNcroM9U+I0D+GJ6t5sNXsWECTQxkB0OQ4XYamLNqi136+Y+YPfeM09bpesvn5mpwMaJooIwCalOKKKj04L0tfbTl+x0zGxZ1130UduWMGMBFlBECTse9oqW6bs0Zbc4tk9bPob9f31tWJcWbHApo8ygiAJiFz71Hd+fYa5Rc7FNnMplkjktS3TYTZsQCIMgKgCfho3T49smCDHE6XusWEavbIZMWGB5odC8DPKCMAvJbTZehvX2zTjH/vlCRd0j1afx+SyBozQCPDv0gAXqmovFIPzMvS11sPSZLu+V0H/eWSLrJYGKgKNDaUEQBeZ09+iW57a412HCqWzc+iZxmoCjRqlBEAXmX5T/kaPXetCssq1So0QDNHJKl363CzYwE4DcoIAK9gGIZmL9+tyYu2yGVIfduE6x83JykqNMDsaADOgDICwOOVVzo19p/rtTDrgCTp+qTWeuqangrwZ0ZVwBNQRgB4tP3HynTn22u0cb9dvhYfTbyyu0aktWVGVcCDUEYAeKyVO4/o3rlrdaTEoebBVk0f1k9pHVqYHQuAmygjADzOL+NDpvxrq5wuQz1iQ/WP4UlqHRFkdjQAtUAZAeBRSh1VeuSfG/Tpj8fHh1zbN05P/6GXAq2MDwE8FWUEgMfYk1+iO9/O1La8IvlZfDSB8SGAV6CMAPAISzbnKeP9LBWVV6lliE2v3NRP/ROamx0LQB2gjABo1KqcLr2wZLteWXZ8fZl+bcL16s1Jimb+EMBrUEYANFr5xRW6/711WrHziCTplgEJevTybrL6WUxOBqAuUUYANEqZe49q9LtrlWsvV5DVV1Ov662r+sSaHQtAPaCMAGhUfrltd+q/tqrKZah9y2DNuDlJnaNDzI4GoJ5QRgA0GvbySj38wXot3pQrSbqid4ymXttLIQH+JicDUJ8oIwAahY37C3XPu2uVXVAqf9/jt+0OP4fbdoGmgDICwFSGYeidVdl68rPNclS51DoiUNOH9VOf+HCzowFoIJQRAKaxl1dq3D836PMNByVJ6d2i9PwfExUWxMcyQFNCGQFgivX7juneueuqP5Z55NKuuvXcdnwsAzRBlBEADcowDL3+3R5N/dcWVToNtY4I1MvD+imRj2WAJosyAqDBHCmu0EML1uvrrYckSZf2aKVnru+tsEA+lgGaMsoIgAaxYme+HpyXpUNFFbL6WTThim66mbtlAIgyAqCeVTpdevGrnzR92Q4ZhtQxqpleGtpX3WJCzY4GoJGgjACoN3uPlOiBeVnKyjkmSRqaEq8JV3ZXkJVfPQB+xW8EAHXOMAz9c+1+Tfp4o0ocToUE+GnKtb10ZW/WlgHwW5QRAHWqsKxSjy3cqE9/PCBJSklorr/fmKi48ECTkwForCgjAOrMyp1H9Of3s3SgsFy+Fh+NSe+ku3/XUb4WBqkCODXKCICzVlHl1PNfbtes/+ySYUhtWwRp2pBE9W0TYXY0AB6AMgLgrGzNtevBeVnamlsk6fgg1ceu6K5gG79eANQMvy0A1IrTZWj28l167svtclS51CLYqqnX9dbF3aPNjgbAw1BGALgt+0ip/vLBj1q9p0CSdFHXKD1zXW+1DLGZnAyAJ7LU5qDp06crISFBAQEBSk1N1erVq0+576xZs3TeeecpIiJCERERSk9PP+3+ABovwzA0d1W2Ln3xW63eU6Bgq6+mXttLs0cmU0QA1JrbZWT+/PnKyMjQpEmTtHbtWvXp00eDBg3SoUOHTrr/smXLNHToUH3zzTdauXKl4uPjdckll2j//v1nHR5AwzlYWKZRb/6gRz/aoFKHUyntmmvxg+frxpQ2TOkO4Kz4GIZhuHNAamqq+vfvr5dfflmS5HK5FB8fr/vuu09jx4494/FOp1MRERF6+eWXNWLEiBo9p91uV1hYmAoLCxUayhTSQEMyDEMLMvfpr59tVlF5lax+Fj08qIv+NLCdLNyyC+A0avr+7daYEYfDoczMTI0bN656m8ViUXp6ulauXFmj71FaWqrKyko1b978lPtUVFSooqKi+s92u92dmADqSJ69XOM+3FC9ym6f+HA9/8fe6hgVYnIyAN7ErTKSn58vp9Op6OgTR8tHR0dr69atNfoejzzyiGJjY5Wenn7KfaZMmaInnnjCnWgA6tAvV0Oe/Gyz7OVVsvpaNObizrr9vHby863VUDMAOKUGvZtm6tSpmjdvnpYtW6aAgIBT7jdu3DhlZGRU/9lutys+Pr4hIgJN3v5jZRr34QZ9u/2wJKl36zA998c+6hzN1RAA9cOtMhIZGSlfX1/l5eWdsD0vL0+tWrU67bHPPfecpk6dqq+++kq9e/c+7b42m002GyPzgYbkchl6d3W2pi7aohKHU1Y/izIu7qzbzuVqCID65dZvGKvVqqSkJC1durR6m8vl0tKlS5WWlnbK45599lk9+eSTWrx4sZKTk2ufFkC92Hm4WDfO+l4TFh5fZTepbYT+9cB5uuuCDhQRAPXO7Y9pMjIyNHLkSCUnJyslJUXTpk1TSUmJRo0aJUkaMWKE4uLiNGXKFEnSM888o4kTJ2ru3LlKSEhQbm6uJKlZs2Zq1qxZHb4UAO6qdLo089tdenHpT3JUuRTo76uHL+2iEWkJLG4HoMG4XUaGDBmiw4cPa+LEicrNzVViYqIWL15cPag1OztbFsuv/yf16quvyuFw6Prrrz/h+0yaNEmPP/742aUHUGtZOcc09p/rq9eUOb9zSz19TU/FNw8yORmApsbteUbMwDwjQN0prqjS819u05wVe+QypIggf00c3F3XJMYxeRmAOlUv84wA8GxfbMrVpI83KddeLkm6JjFWE67srhbNGDAOwDyUEaAJOHCsTJM+2aQlm4/fCde2RZCeuqanzuvU0uRkAEAZAbxapdOlN77brWlf/aRSh1P+vj668/wOuveijgrw9zU7HgBIoowAXmv17gI9tnCDtucVS5L6J0To6T/0YvIyAI0OZQTwMvnFFZqyaKv+uXafJKl5sFXjLuuq6/q1ZmE7AI0SZQTwElVOl97+fq9eWLJdReVV8vGRbuzfRo9c2kXhQVaz4wHAKVFGAC+watcRTfpkU/WcIT1iQ/XkNT3Vr02EyckA4MwoI4AHO1hYpqn/2qqPsw5IksKD/PXQoC66sX8bZlAF4DEoI4AHKq906rX/7NL0b3aqrNIpHx9paEobPXRJF0UE85EMAM9CGQE8iGEYWrwxV08v2qJ9R8skSUltI/T44B7q1TrM5HQAUDuUEcBDbNxfqKc+36zvdxVIkmLCAjT2sq66qk8s07gD8GiUEaCRy7OX629fbNM/1+6TYUg2P4vuPL+97vpdBwVZ+ScMwPPxmwxopEodVZr17W7N+PfxcSGSdHVirB6+tKviwgNNTgcAdYcyAjQyTpehD9bk6IUl23WoqEKS1K9NuB67sju36gLwSpQRoJEwDEPLth3WlH9tqZ7CPb55oB4a1FWDe8cwLgSA16KMAI3AuuyjenbxNq3cdUSSFBbor/su6qjhaW1l82NBOwDejTICmGjHoWI998U2Ld6UK0my+lp0y8AEjf5dR4UF+ZucDgAaBmUEMMGBY2V68auf9EFmjlyGZPGRru3XWmMu7szgVABNDmUEaECHiyo0/ZsdmrsqWw6nS5J0cfdoPTSoizpHh5icDgDMQRkBGkBhaaX+8e1OvfHdnurbdM9p31wPDeqipLbNTU4HAOaijAD1qLCsUrOX79Yby3erqKJKktQnPlwPXdJFAzu24A4ZABBlBKgX9vJKvb58t2Yv362i8uMlpGurEP35ki5K7xZFCQGA/0IZAepQYWml3lixW68v3y37zyWkc3QzPZjeWZf2aCWLhRICAP+LMgLUgYISh2Yv36W3Vuyt/jimU1QzPZDeSZf3jKGEAMBpUEaAs3DIXq7Xlu/WO9/vVanj+MDULtEhuveijrq8V4x8KSEAcEaUEaAWso+U6h/f7tQHmfvkqDp+i26P2FDdd1EnXdI9mishAOAGygjghi0H7frHv3fq0/UH5XQZkqSkthG653cddFFXBqYCQG1QRoAzMAxDK3ce0T++3aV/bz9cvf38zi01+ncdlNKuOSUEAM4CZQQ4hSqnS//amKuZ3+7Shv2Fko5P235Zzxjd/bsO6hkXZnJCAPAOlBHgfxSWVWr+D9mas2Kv9h8rkyQF+Ft0Q3K8bju3vdq0CDI5IQB4F8oI8LPsI6V6Y8Vuvf9Djkp+vjOmRbBVN5/TViMHJKh5sNXkhADgnSgjaNIMw9B3O47ozRW7tXTrIRnHx6SqU1Qz3XZeO12dGKcAf19zQwKAl6OMoEkqrqjSR+v2a86KPdpxqLh6+/mdW+q2c9vpvE6RDEoFgAZCGUGTsj2vSO98v1cfrt2v4p9nSg22+ur6pNYaMSBBHVo2MzkhADQ9lBF4vYoqp77YlKd3v9+rVbsLqre3jwzWzee01R+TWyskwN/EhADQtFFG4LV2HS7We6uztSBzn46WVkqSfC0+urhbtIantdWADi34KAYAGgHKCLxKmcOpxZsOav4POfp+169XQVqFBuiG/vEamhKvmLBAExMCAP4XZQQezzAMrd9XqPfX5OiTrAPVq+ZafKQLu0RpaEob/a5LS/n5WkxOCgA4GcoIPFaevVwL1+3XP9fu0/a8X++IaR0RqBuS43V9UmvFhnMVBAAaO8oIPEqpo0pLNudpQeY+fbcjXz+vVSebn0WX9WylG5LjdU77FqyaCwAehDKCRq/S6dLyn/L1cdZ+fbk5T6U/z44qSf0TInRtv9a6vFeMwgK5IwYAPBFlBI2S02VozZ4Cfbb+oD7fcFAFJY7qr7VpHqQ/9I3Ttf3i1LZFsIkpAQB1gTKCRsPlMrQ2+6g+W39QizYc1KGiiuqvRTaz6sresbo6MVaJ8eHckgsAXoQyAlNVOV1avadAizfm6otNucqz/1pAQgL8NKhHK13ZO0bndozkbhgA8FKUETS48kqnvtuRryWb8/Tl5rwTPoJpZvPTxd2jjxeQTpGy+bFIHQB4O8oIGsSR4gp9vfWQlmzO039+yldZ5a+DUMOD/HVxt2hd1quVBnakgABAU0MZQb0wDEObDtj1zdZD+nrbIWXlHJNh/Pr12LAApXeP1iXdWym1fXP58xEMADRZlBHUmaMlDi3fka9vtx/Wtz8dPmH8hyR1jwn9uYBEq0dsKINQAQCSKCM4CxVVTq3de0wrdubr25/ytX7fiVc/gqy+GtgxUhd1jdKFXaLUKizAvLAAgEaLMoIaq3K6tOmAXSt3HdF3O/L1w54ClVe6TtinS3SILujSUud3aqnkhAgF+DP+AwBwepQRnJKjyqUN+wu1eneBVu0+ojV7jqr450XofhHZzKaBHVtoYMdInd+pJVc/AABuo4yg2rFSh9ZlH9OavQX6Yc9R/ZhzTBVVJ175CA3wU0q7FhrQ4XgB6RzdjLEfAICzQhlpohxVLm3LLVJWzlGtyzmmrOxj2pVf8pv9IoL8lZzQXOe0b6Fz2jdX11ah8mUROgBAHaKMNAEVVU79lFesTQcKtX5foTbsL9TWg0VyOF2/2bddZLCS2kaof0KEkhOaq31kMFc+AAD1ijLiRQzD0KGiCm3LLdL2vCJtPmjX5gN27ThUrCqX8Zv9w4P81SsuTH3bRKhvm3Altg5XRLDVhOQAgKaMMuKBDMPQgcJy7TxUrB2HirXzcLF+OlSs7XlFOlZaedJjwgL91T0mVL1bh6lX6zD1jgtXfPNArnoAAExXqzIyffp0/e1vf1Nubq769Omjl156SSkpKafc/4MPPtCECRO0Z88ederUSc8884wuv/zyWoduCqqcLh0sLFdOQamyC0q150ip9uSXaM+REu09UnrCdOr/zeIjJUQGq0t0iLq0ClGP2DD1iA1VTFgAxQMA0Ci5XUbmz5+vjIwMzZgxQ6mpqZo2bZoGDRqkbdu2KSoq6jf7r1ixQkOHDtWUKVN05ZVXau7cubrmmmu0du1a9ezZs05ehKdxuQwdKXHoUFG58uzlOnCsXAcLy3TwWLkOFJZp39EyHSwsl/MkH638ws/io4TIYHVs2UwdooLVMaqZOkeHqEPLZsztAQDwKD6GYZz6He8kUlNT1b9/f7388suSJJfLpfj4eN13330aO3bsb/YfMmSISkpK9Nlnn1VvO+ecc5SYmKgZM2bU6DntdrvCwsJUWFio0NBQd+LWO6fLUHFFlYrKK1VYdvxhL6vUsdJKHS2tVEFJhY4UO3SkxKGCnwtIfrHjtEXjF1Zfi1pHBKp18yC1axGkti2C1S4yWAmRwWodEch6LgCARq2m799uXRlxOBzKzMzUuHHjqrdZLBalp6dr5cqVJz1m5cqVysjIOGHboEGDtHDhwlM+T0VFhSoqfl3XxG63uxOzxmYv362cglIZhiGXIbl+/m+V06UqlyGH06XKKpccTpfKK50qq3SpotKpskqnSiqcKq6o/M0MpDXl4yO1CLYpOtSmmLBAxYYHKCYsUDFhAWodEaj45kFq2cwmC7fRAgC8nFtlJD8/X06nU9HR0Sdsj46O1tatW096TG5u7kn3z83NPeXzTJkyRU888YQ70Wrls/UHtC77WJ18L6uvRWFB/goL/PURHuSvFsFWtWhmU/Ngq1oEWxUVEqCoUJtaBFvlx5UNAAAa590048aNO+Fqit1uV3x8fJ0/z3X9Wmtgh0hZfCQfHx9ZfHzk4yP5+frI6muRn8VH/n4W+ftaFOjvqwB/35//a1GQ1U8hAX4Ktvkp2OYrmx/jNAAAqA23ykhkZKR8fX2Vl5d3wva8vDy1atXqpMe0atXKrf0lyWazyWazuROtVm4+p229PwcAADg9tz4nsFqtSkpK0tKlS6u3uVwuLV26VGlpaSc9Ji0t7YT9JWnJkiWn3B8AADQtbn9Mk5GRoZEjRyo5OVkpKSmaNm2aSkpKNGrUKEnSiBEjFBcXpylTpkiSHnjgAV1wwQV6/vnndcUVV2jevHlas2aNZs6cWbevBAAAeCS3y8iQIUN0+PBhTZw4Ubm5uUpMTNTixYurB6lmZ2fLYvn1gsuAAQM0d+5cPfbYY3r00UfVqVMnLVy4sMnOMQIAAE7k9jwjZmjM84wAAICTq+n7N/eWAgAAU1FGAACAqSgjAADAVJQRAABgKsoIAAAwFWUEAACYijICAABMRRkBAACmoowAAABTuT0dvBl+mSTWbrebnAQAANTUL+/bZ5rs3SPKSFFRkSQpPj7e5CQAAMBdRUVFCgsLO+XXPWJtGpfLpQMHDigkJEQ+Pj519n3tdrvi4+OVk5PDmjf1iPPccDjXDYPz3DA4zw2jPs+zYRgqKipSbGzsCYvo/i+PuDJisVjUunXrevv+oaGh/KA3AM5zw+FcNwzOc8PgPDeM+jrPp7si8gsGsAIAAFNRRgAAgKmadBmx2WyaNGmSbDab2VG8Gue54XCuGwbnuWFwnhtGYzjPHjGAFQAAeK8mfWUEAACYjzICAABMRRkBAACmoowAAABTeX0ZmT59uhISEhQQEKDU1FStXr36tPt/8MEH6tq1qwICAtSrVy8tWrSogZJ6NnfO86xZs3TeeecpIiJCERERSk9PP+PfC37l7s/0L+bNmycfHx9dc8019RvQS7h7no8dO6bRo0crJiZGNptNnTt35vdHDbh7nqdNm6YuXbooMDBQ8fHxGjNmjMrLyxsorWf69ttvNXjwYMXGxsrHx0cLFy484zHLli1Tv379ZLPZ1LFjR7355pv1G9LwYvPmzTOsVqvx+uuvG5s2bTJuv/12Izw83MjLyzvp/t99953h6+trPPvss8bmzZuNxx57zPD39zc2bNjQwMk9i7vnediwYcb06dONdevWGVu2bDFuueUWIywszNi3b18DJ/c87p7rX+zevduIi4szzjvvPOPqq69umLAezN3zXFFRYSQnJxuXX365sXz5cmP37t3GsmXLjKysrAZO7lncPc/vvvuuYbPZjHfffdfYvXu38cUXXxgxMTHGmDFjGji5Z1m0aJExfvx448MPPzQkGR999NFp99+1a5cRFBRkZGRkGJs3bzZeeuklw9fX11i8eHG9ZfTqMpKSkmKMHj26+s9Op9OIjY01pkyZctL9b7jhBuOKK644YVtqaqpx55131mtOT+fuef5fVVVVRkhIiDFnzpz6iug1anOuq6qqjAEDBhivvfaaMXLkSMpIDbh7nl999VWjffv2hsPhaKiIXsHd8zx69GjjoosuOmFbRkaGMXDgwHrN6U1qUkYefvhho0ePHidsGzJkiDFo0KB6y+W1H9M4HA5lZmYqPT29epvFYlF6erpWrlx50mNWrlx5wv6SNGjQoFPuj9qd5/9VWlqqyspKNW/evL5ieoXanuu//vWvioqK0q233toQMT1ebc7zJ598orS0NI0ePVrR0dHq2bOnJk+eLKfT2VCxPU5tzvOAAQOUmZlZ/VHOrl27tGjRIl1++eUNkrmpMOO90CMWyquN/Px8OZ1ORUdHn7A9OjpaW7duPekxubm5J90/Nze33nJ6utqc5//1yCOPKDY29jc//DhRbc718uXLNXv2bGVlZTVAQu9Qm/O8a9cuff3117rpppu0aNEi7dixQ/fcc48qKys1adKkhojtcWpznocNG6b8/Hyde+65MgxDVVVVuuuuu/Too482ROQm41TvhXa7XWVlZQoMDKzz5/TaKyPwDFOnTtW8efP00UcfKSAgwOw4XqWoqEjDhw/XrFmzFBkZaXYcr+ZyuRQVFaWZM2cqKSlJQ4YM0fjx4zVjxgyzo3mVZcuWafLkyXrllVe0du1affjhh/r888/15JNPmh0NZ8lrr4xERkbK19dXeXl5J2zPy8tTq1atTnpMq1at3NoftTvPv3juuec0depUffXVV+rdu3d9xvQK7p7rnTt3as+ePRo8eHD1NpfLJUny8/PTtm3b1KFDh/oN7YFq8zMdExMjf39/+fr6Vm/r1q2bcnNz5XA4ZLVa6zWzJ6rNeZ4wYYKGDx+u2267TZLUq1cvlZSU6I477tD48eNlsfD/13XhVO+FoaGh9XJVRPLiKyNWq1VJSUlaunRp9TaXy6WlS5cqLS3tpMekpaWdsL8kLVmy5JT7o3bnWZKeffZZPfnkk1q8eLGSk5MbIqrHc/dcd+3aVRs2bFBWVlb146qrrtKFF16orKwsxcfHN2R8j1Gbn+mBAwdqx44d1WVPkrZv366YmBiKyCnU5jyXlpb+pnD8UgANllmrM6a8F9bb0NhGYN68eYbNZjPefPNNY/PmzcYdd9xhhIeHG7m5uYZhGMbw4cONsWPHVu//3XffGX5+fsZzzz1nbNmyxZg0aRK39taAu+d56tSphtVqNRYsWGAcPHiw+lFUVGTWS/AY7p7r/8XdNDXj7nnOzs42QkJCjHvvvdfYtm2b8dlnnxlRUVHGU089ZdZL8AjunudJkyYZISEhxnvvvWfs2rXL+PLLL40OHToYN9xwg1kvwSMUFRUZ69atM9atW2dIMl544QVj3bp1xt69ew3DMIyxY8caw4cPr97/l1t7H3roIWPLli3G9OnTubX3bL300ktGmzZtDKvVaqSkpBjff/999dcuuOACY+TIkSfs//777xudO3c2rFar0aNHD+Pzzz9v4MSeyZ3z3LZtW0PSbx6TJk1q+OAeyN2f6f9GGak5d8/zihUrjNTUVMNmsxnt27c3nn76aaOqqqqBU3sed85zZWWl8fjjjxsdOnQwAgICjPj4eOOee+4xjh492vDBPcg333xz0t+5v5zbkSNHGhdccMFvjklMTDSsVqvRvn1744033qjXjD6GwbUtAABgHq8dMwIAADwDZQQAAJiKMgIAAExFGQEAAKaijAAAAFNRRgAAgKkoIwAAwFSUEQAAYCrKCAAAMBVlBAAAmIoyAgAATEUZAQAApvp/LrGUFZT/+JkAAAAASUVORK5CYII=",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "f = lambda u: 1/4 * u**2 #u * (1 - u)\n",
+    "\n",
+    "u_schematic = np.linspace(0,1,100)\n",
+    "plt.plot(u_schematic, f(u_schematic))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def Upwind(u_old:np.array, f_:callable, M:float=1) -> tuple:\n",
+    "    # specific discretization for nonlinear exponential function\n",
+    "    F = np.zeros_like(u_old)\n",
+    "    F[:-1] = .5 * (\n",
+    "        f_(u_old[:-1]) + f_(u_old[1:])\n",
+    "        - M * (u_old[1:] - u_old[:-1])\n",
+    "    )\n",
+    "    F[-1] = f_(u_old[-1])  # Ensure boundary condition correctness\n",
+    "    return F[1:], F[:-1]\n",
+    "\n",
+    "# Initial condition\n",
+    "u_vec = [u0.copy()]\n",
+    "u = u0.copy()\n",
+    "t = .0\n",
+    "t_vec = [t]\n",
+    "\n",
+    "J = [f(u0)]\n",
+    "\n",
+    "for j in range(Ntime):\n",
+    "    # Store old values\n",
+    "    u_old = u_vec[-1]\n",
+    "    # Get Upwind\n",
+    "    (upwind_n_1, upwind_n_2) = Upwind(u_old, f_=f)\n",
+    "    # no exchange\n",
+    "    u[1:] = u_old[1:] - dt * (\n",
+    "        1 / dx * (upwind_n_1 - upwind_n_2)\n",
+    "    )\n",
+    "    J.append(f(u))\n",
+    "\n",
+    "    # Apply BCs\n",
+    "    u[0] = u_old[0]\n",
+    "\n",
+    "    # Store\n",
+    "    u_vec.append(u.copy())\n",
+    "\n",
+    "    t_vec.append(t)\n",
+    "    t += dt"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[<matplotlib.lines.Line2D at 0x11b736f30>]"
+      ]
+     },
+     "execution_count": 30,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.plot(x, u_vec[-1])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/var/folders/v_/5q1gkdc53z34pdsfnpkx2t340000gn/T/ipykernel_67340/3886992922.py:29: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n",
+      "  fig.show()\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1500x500 with 3 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "fig, axs = plt.subplots(ncols=3, nrows=1, figsize=(15, 5))\n",
+    "\n",
+    "# Function u on first axis\n",
+    "axs[0].set_title('Function f(u)')\n",
+    "axs[0].plot(u_schematic, f(u_schematic), color='blue')\n",
+    "axs[0].grid()\n",
+    "axs[0].set_xlabel('u')\n",
+    "axs[0].set_ylabel('f(u)')\n",
+    "\n",
+    "# Initial Distribution and final distribution\n",
+    "axs[1].set_title('Solution of $u_t + f(u)_x = 0$')\n",
+    "axs[1].plot(x, u0, label='$u_0(x)$', color='red', ls='--')\n",
+    "axs[1].plot(x, u_vec[-1], label='u(x,t)', color='red', ls='-')\n",
+    "axs[1].legend()\n",
+    "axs[1].grid()\n",
+    "axs[1].set_xlabel('x')\n",
+    "axs[1].set_ylabel('U(x)')\n",
+    "\n",
+    "# Flux function (initial and final)\n",
+    "axs[2].set_title('Flux $f(u(x,t))$')\n",
+    "axs[2].plot(x, J[0], label='$f(u_0(x))$', color='green', ls='--')\n",
+    "axs[2].plot(x, J[-1], label='$f(u(x,t))$', color='green', ls='-')\n",
+    "axs[2].legend()\n",
+    "axs[2].grid()\n",
+    "axs[2].set_xlabel('x')\n",
+    "axs[2].set_ylabel('f(u)')\n",
+    "\n",
+    "fig.tight_layout()\n",
+    "fig.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "base",
+   "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": "3.12.2"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/Project2/src/SystemGeneric.py b/Project2/src/SystemGeneric.py
new file mode 100644
index 0000000000000000000000000000000000000000..981a1d4070d57758a077098f428444477bd70838
--- /dev/null
+++ b/Project2/src/SystemGeneric.py
@@ -0,0 +1,213 @@
+'''
+Jan Habscheid
+Jan.Habscheid@rwth-aachen.de
+'''
+
+import matplotlib.pyplot as plt
+import numpy as np 
+
+class System:
+    '''
+    System to solve the (un)coupled transient diffusion-reaction equations
+    '''
+    def __init__(self, Nx:int, x0:float, x1:float, NTime:int, T_end=float):
+        '''
+        Constructor for the System class
+
+        All parameters are in dimensionless units
+
+        Parameters
+        ----------
+        Nx : int
+            Number of grid points
+        x0 : float
+            Left boundary of the domain
+        x1 : float
+            Right boundary of the domain
+        NTime : int
+            Number of time steps
+        T_end : float
+            End time of simulation
+        '''
+        # Store parameter
+        self.Nx = Nx
+        self.x0 = x0
+        self.x1 = x1
+        self.dx = (x1 - x0) / Nx
+        self.x = np.linspace(x0, x1, Nx)
+
+        self.NTime = NTime
+        self.T_end = T_end
+        self.dt = T_end / NTime
+
+    def get_x(self) -> np.ndarray:
+        '''
+        Creates the spatial grid
+
+        Returns
+        -------
+        np.ndarray
+            Spatial grid
+        '''
+        return self.x
+
+    def set_u0(self, u0:np.ndarray):
+        '''
+        Set the initial condition
+
+        Parameters
+        ----------
+        u0 : np.ndarray
+            Initial condition
+        '''
+        self.u0 = u0
+
+    def plot_u0(self):
+        '''
+        Plot the initial condition
+        '''
+        fig, axs = plt.subplots()
+        axs.plot(self.x, self.u0, color='blue')
+        axs.grid()
+        axs.set_xlabel('x')
+        axs.set_ylabel('u')
+        fig.tight_layout()
+
+        return fig, axs
+
+    def set_f(self, f:callable):
+        '''
+        Set the source term
+
+        Parameters
+        ----------
+        f : np.ndarray
+            Source term
+        '''
+        self.f = f
+
+    def plot_f(self, u):
+        '''
+        Plot the source term
+
+        Parameters
+        ----------
+        u : np.ndarray
+            Solution at time t
+        '''
+        fig, axs = plt.subplots()
+        axs.plot(u, self.f(u), color='red')
+        axs.grid()
+        axs.set_xlabel('x')
+        axs.set_ylabel('f(u)')
+        fig.tight_layout()
+
+        return fig, axs
+    
+    def Upwind(self, u_old:np.array, M:float=1) -> tuple:
+        '''
+        Upwind scheme for the transient diffusion-reaction equation
+
+        Parameters
+        ----------
+        u_old : np.array
+            Solution at time t
+        M : float
+            Diffusion coefficient
+
+        Returns
+        -------
+        tuple
+            Fluxes at time t
+        '''
+        F = np.zeros_like(u_old)
+        F[:-1] = .5 * (
+            self.f(u_old[:-1]) + self.f(u_old[1:])
+            - M * (u_old[1:] - u_old[:-1])
+        )
+        F[-1] = self.f(u_old[-1])  # Ensure boundary condition correctness
+
+        return F[1:], F[:-1]
+    
+    def solve(self, M:float=1):
+        '''
+        Solve the transient diffusion-reaction equation
+
+        Parameters
+        ----------
+        M : float
+            Diffusion coefficient
+
+        Returns
+        -------
+        np.ndarray
+            Solution at time t
+        '''
+        # Initial condition
+        u_vec = [self.u0.copy()]
+        u = self.u0.copy()
+        t = .0
+        t_vec = [t]
+
+        J = [self.f(self.u0)]
+
+        # Time loop
+        for j in range(self.NTime):
+            # Store old values
+            u_old = u_vec[-1]
+            # Get Upwind
+            (upwind_n_1, upwind_n_2) = self.Upwind(u_old, M=M)
+            # no exchange
+            u[1:] = u_old[1:] - self.dt * (
+                1 / self.dx * (upwind_n_1 - upwind_n_2)
+            )
+            J.append(self.f(u))
+
+            # Apply BCs
+            u[0] = u_old[0]
+
+            # Store
+            u_vec.append(u.copy())
+
+            t_vec.append(t)
+            t += self.dt
+
+        # Store solutions
+        self.t_vec = np.array(t_vec)
+        self.u_vec = np.array(u_vec)
+        self.J = np.array(J)
+
+    def plot_solution(self, u=np.linspace(0,1,101)):
+        '''
+        Plot the solution
+        '''
+        fig, axs = plt.subplots(ncols=3, nrows=1, figsize=(15, 5))
+
+        # Function u on first axis
+        axs[0].set_title('Function f(u)')
+        axs[0].plot(u, self.f(u), color='blue')
+        axs[0].grid()
+        axs[0].set_xlabel('u')
+        axs[0].set_ylabel('f(u)')
+
+        # Initial Distribution and final distribution
+        axs[1].set_title('Solution of $u_t + f(u)_x = 0$')
+        axs[1].plot(self.x, self.u_vec[0], label='$u_0(x)$', color='red', ls='--')
+        axs[1].plot(self.x, self.u_vec[-1], label='u(x,t)', color='red', ls='-')
+        axs[1].legend()
+        axs[1].grid()
+        axs[1].set_xlabel('x')
+        axs[1].set_ylabel('U(x)')
+
+        # Flux function (initial and final)
+        axs[2].set_title('Flux $f(u(x,t))$')
+        axs[2].plot(self.x, self.J[0], label='$f(u_0(x))$', color='green', ls='--')
+        axs[2].plot(self.x, self.J[-1], label='$f(u(x,t))$', color='green', ls='-')
+        axs[2].legend()
+        axs[2].grid()
+        axs[2].set_xlabel('x')
+        axs[2].set_ylabel('f(u)')
+
+        fig.tight_layout()
+
+        return fig, axs
\ No newline at end of file
diff --git a/.gitlab-ci.yml b/gitlab-ci.yml
similarity index 100%
rename from .gitlab-ci.yml
rename to gitlab-ci.yml