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zdh>UuY|aw|Z5$$Q1^;Wqi~&29IxeO2Uwf5Ndk(m@5~z}nU&!}=)vE~tkd&aVv$l_>VC0EYW8dxhc?IYa;#87l5CxrjbUS Ix?{|L03#lO@Bjb+ literal 0 HcmV?d00001 diff --git a/docs/user-guide/zonal-average.ipynb b/docs/user-guide/zonal-average.ipynb index 4d4eb2f65..9031f6d51 100644 --- a/docs/user-guide/zonal-average.ipynb +++ b/docs/user-guide/zonal-average.ipynb @@ -27,18 +27,14 @@ }, { "cell_type": "code", + "execution_count": null, "id": "185e2061bc4c75b9", "metadata": { - "execution": { - "iopub.execute_input": "2025-09-26T15:41:01.836324Z", - "iopub.status.busy": "2025-09-26T15:41:01.836130Z", - "iopub.status.idle": "2025-09-26T15:41:05.102704Z", - "shell.execute_reply": "2025-09-26T15:41:05.102291Z" - }, "jupyter": { "is_executing": true } }, + "outputs": [], "source": [ "from pathlib import Path\n", "\n", @@ -54,9 +50,7 @@ " \"../../test/meshfiles/ugrid/outCSne30/outCSne30.ug\",\n", " \"../../test/meshfiles/ugrid/outCSne30/outCSne30_vortex.nc\",\n", ")" - ], - "outputs": [], - "execution_count": null + ] }, { "cell_type": "markdown", @@ -73,6 +67,10 @@ "- **Non-conservative**: Calculates the mean by sampling face values at specific latitude lines and weighting each contribution by the length of the line where each face intersects that latitude.\n", "- **Conservative**: Preserves integral quantities by calculating the mean by sampling face values within latitude bands and weighting contributions by their area overlap with latitude bands.\n", "\n", + "Please check the figure below for a visualization of non-conservative (left) and conservative (right) zonal averaging on an unstructured spherical mesh. The weight contribution by each face is provided by line segment and area overlaps between the face and the zonal band for the non-conservative and conservative cases, respectively. A green-colored line-segment and polygon is provided as an example for each case.\n", + "\n", + "\"Zonal\n", + "\n", "```{seealso}\n", "[NCL Zonal Average](https://www.ncl.ucar.edu/Applications/zonal.shtml) — NCL reference with conventional rectilinear grids.\n", "```\n" @@ -95,110 +93,10 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": null, "id": "global_field_plot", - "metadata": { - "execution": { - "iopub.execute_input": "2025-09-26T15:41:05.104590Z", - "iopub.status.busy": "2025-09-26T15:41:05.104455Z", - "iopub.status.idle": "2025-09-26T15:41:07.888812Z", - "shell.execute_reply": "2025-09-26T15:41:07.888366Z" - } - }, - "outputs": [ - { - "data": {}, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "application/vnd.holoviews_exec.v0+json": "", - "text/html": [ - "

\n", - "" - ], - "text/plain": [ - ":Image [x,y] (x_y psi)" - ] - }, - "execution_count": 34, - "metadata": { - "application/vnd.holoviews_exec.v0+json": { - "id": "f8248ec6-62b8-4594-a002-0b841d96ac54" - } - }, - "output_type": "execute_result" - } - ], + "metadata": {}, + "outputs": [], "source": [ "# Display the global field\n", "uxds[\"psi\"].plot(cmap=\"inferno\", periodic_elements=\"split\", title=\"Global Field\")" @@ -216,531 +114,10 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": null, "id": "d342f8f449543994", - "metadata": { - "execution": { - "iopub.execute_input": "2025-09-26T15:41:07.890787Z", - "iopub.status.busy": "2025-09-26T15:41:07.890560Z", - "iopub.status.idle": "2025-09-26T15:41:07.996723Z", - "shell.execute_reply": "2025-09-26T15:41:07.996295Z" - } - }, - "outputs": [ - { - "data": { - "text/html": [ - "
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<xarray.DataArray 'psi_zonal_mean' (latitudes: 19)> Size: 152B\n",
-       "array([1.08546247, 1.09219987, 1.10863654, 1.10011333, 1.04989243,\n",
-       "       1.03074397, 1.01980815, 1.01312147, 0.9973705 , 1.00000001,\n",
-       "       1.00262952, 0.98687854, 0.98019186, 0.96925608, 0.95010754,\n",
-       "       0.89988665, 0.89136345, 0.90780013, 0.91453753])\n",
-       "Coordinates:\n",
-       "  * latitudes  (latitudes) float64 152B -90.0 -80.0 -70.0 ... 70.0 80.0 90.0\n",
-       "Attributes:\n",
-       "    zonal_mean:    True\n",
-       "    conservative:  False
" - ], - "text/plain": [ - " Size: 152B\n", - "array([1.08546247, 1.09219987, 1.10863654, 1.10011333, 1.04989243,\n", - " 1.03074397, 1.01980815, 1.01312147, 0.9973705 , 1.00000001,\n", - " 1.00262952, 0.98687854, 0.98019186, 0.96925608, 0.95010754,\n", - " 0.89988665, 0.89136345, 0.90780013, 0.91453753])\n", - "Coordinates:\n", - " * latitudes (latitudes) float64 152B -90.0 -80.0 -70.0 ... 70.0 80.0 90.0\n", - "Attributes:\n", - " zonal_mean: True\n", - " conservative: False" - ] - }, - "execution_count": 35, - "metadata": {}, - "output_type": "execute_result" - } - ], + "metadata": {}, + "outputs": [], "source": [ "zonal_mean_psi = uxds[\"psi\"].zonal_mean()\n", "zonal_mean_psi" @@ -759,19 +136,10 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": null, "id": "default_latitude_samples", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Default sample latitudes (10-degree spacing):\n", - "-90 deg, -80 deg, -70 deg, -60 deg, -50 deg, -40 deg, -30 deg, -20 deg, -10 deg, 0 deg, 10 deg, 20 deg, 30 deg, 40 deg, 50 deg, 60 deg, 70 deg, 80 deg, 90 deg\n" - ] - } - ], + "outputs": [], "source": [ "# Inspect default latitude samples\n", "default_lats = zonal_mean_psi.coords[\"latitudes\"].values\n", @@ -781,28 +149,10 @@ }, { "cell_type": "code", - "execution_count": 37, + "execution_count": null, "id": "b5933beaf2f598ab", - "metadata": { - "execution": { - "iopub.execute_input": "2025-09-26T15:41:07.998270Z", - "iopub.status.busy": "2025-09-26T15:41:07.998133Z", - "iopub.status.idle": "2025-09-26T15:41:08.095258Z", - "shell.execute_reply": "2025-09-26T15:41:08.094936Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "metadata": {}, + "outputs": [], "source": [ "lats = zonal_mean_psi[\"latitudes\"].values\n", "vals = zonal_mean_psi.values\n", @@ -831,16 +181,9 @@ }, { "cell_type": "code", - "execution_count": 38, + "execution_count": null, "id": "4f665827daac1c46", - "metadata": { - "execution": { - "iopub.execute_input": "2025-09-26T15:41:08.096814Z", - "iopub.status.busy": "2025-09-26T15:41:08.096669Z", - "iopub.status.idle": "2025-09-26T15:41:08.217225Z", - "shell.execute_reply": "2025-09-26T15:41:08.216829Z" - } - }, + "metadata": {}, "outputs": [], "source": [ "zonal_mean_psi_large = uxds[\"psi\"].zonal_mean(lat=(-90, 90, 1))" @@ -858,28 +201,10 @@ }, { "cell_type": "code", - "execution_count": 39, + "execution_count": null, "id": "1998f1a55b67100c", - "metadata": { - "execution": { - "iopub.execute_input": "2025-09-26T15:41:08.218700Z", - "iopub.status.busy": "2025-09-26T15:41:08.218562Z", - "iopub.status.idle": "2025-09-26T15:41:08.284983Z", - "shell.execute_reply": "2025-09-26T15:41:08.284614Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "metadata": {}, + "outputs": [], "source": [ "lats = zonal_mean_psi_large[\"latitudes\"].values\n", "vals = zonal_mean_psi_large.values\n", @@ -913,526 +238,10 @@ }, { "cell_type": "code", - "execution_count": 40, + "execution_count": null, "id": "conservative_example", - "metadata": { - "execution": { - "iopub.execute_input": "2025-09-26T15:41:08.286572Z", - "iopub.status.busy": "2025-09-26T15:41:08.286439Z", - "iopub.status.idle": "2025-09-26T15:41:08.369463Z", - "shell.execute_reply": "2025-09-26T15:41:08.369129Z" - } - }, - "outputs": [ - { - "data": { - "text/html": [ - "
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<xarray.DataArray 'psi_zonal_mean' (latitudes: 6)> Size: 48B\n",
-       "array([1.10364701, 1.03897837, 1.00563134, 0.99327248, 0.96134106,\n",
-       "       0.89634629])\n",
-       "Coordinates:\n",
-       "  * latitudes  (latitudes) float64 48B -75.0 -45.0 -15.0 15.0 45.0 75.0\n",
-       "Attributes:\n",
-       "    zonal_mean:      True\n",
-       "    conservative:    True\n",
-       "    lat_band_edges:  [-90. -60. -30.   0.  30.  60.  90.]
" - ], - "text/plain": [ - " Size: 48B\n", - "array([1.10364701, 1.03897837, 1.00563134, 0.99327248, 0.96134106,\n", - " 0.89634629])\n", - "Coordinates:\n", - " * latitudes (latitudes) float64 48B -75.0 -45.0 -15.0 15.0 45.0 75.0\n", - "Attributes:\n", - " zonal_mean: True\n", - " conservative: True\n", - " lat_band_edges: [-90. -60. -30. 0. 30. 60. 90.]" - ] - }, - "execution_count": 40, - "metadata": {}, - "output_type": "execute_result" - } - ], + "metadata": {}, + "outputs": [], "source": [ "# Conservative zonal averaging with bands\n", "bands = np.array([-90, -60, -30, 0, 30, 60, 90])\n", @@ -1452,27 +261,10 @@ }, { "cell_type": "code", - "execution_count": 41, + "execution_count": null, "id": "conservation_test", - "metadata": { - "execution": { - "iopub.execute_input": "2025-09-26T15:41:08.371132Z", - "iopub.status.busy": "2025-09-26T15:41:08.371017Z", - "iopub.status.idle": "2025-09-26T15:41:08.376036Z", - "shell.execute_reply": "2025-09-26T15:41:08.375779Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Global mean: 1.000000001533\n", - "Conservative full sphere: 1.000000001829\n", - "Conservation error: 2.96e-10\n" - ] - } - ], + "metadata": {}, + "outputs": [], "source": [ "# Test conservation property\n", "global_mean = uxds[\"psi\"].mean()\n", @@ -1499,31 +291,10 @@ }, { "cell_type": "code", - "execution_count": 42, + "execution_count": null, "id": "signature_demo", - "metadata": { - "execution": { - "iopub.execute_input": "2025-09-26T15:41:08.377392Z", - "iopub.status.busy": "2025-09-26T15:41:08.377284Z", - "iopub.status.idle": "2025-09-26T15:41:08.413659Z", - "shell.execute_reply": "2025-09-26T15:41:08.413297Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Non-conservative with lat=(-90, 90, 30):\n", - "Sample points: [-90. -60. -30. 0. 30. 60. 90.]\n", - "Count: 7 points\n", - "\n", - "Conservative with lat=(-90, 90, 30):\n", - "Band centers: [-75. -45. -15. 15. 45. 75.]\n", - "Count: 6 bands\n" - ] - } - ], + "metadata": {}, + "outputs": [], "source": [ "# Demonstrate signature behavior\n", "lat_tuple = (-90, 90, 30) # Every 30 degrees\n", @@ -1558,28 +329,10 @@ }, { "cell_type": "code", - "execution_count": 43, + "execution_count": null, "id": "comparison_plot", - "metadata": { - "execution": { - "iopub.execute_input": "2025-09-26T15:41:08.415228Z", - "iopub.status.busy": "2025-09-26T15:41:08.415095Z", - "iopub.status.idle": "2025-09-26T15:41:08.515379Z", - "shell.execute_reply": "2025-09-26T15:41:08.514603Z" - } - }, - "outputs": [ - { - "data": { - "image/png": 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3xJ/h+H6+Fi5ciI+PD3Xq1LG7z7Jly5IhQ4Y4hzM/zCeffMK6desYPHgw1atXj3V+1apVZMuWjfbt29vKXF1d6dWrF2FhYbGmlrRt25aMGTPaHsf8brr/91FS/PzPmTOHcuXKUaBAAcD8nDZq1MhuuHmLFi1wcXGxe3/379/PwYMH7dp24cKFVKlShYwZM9q9v7Vr1yY6OprNmzfbXbtly5a2KQUx4vv5WLNmDa6urnTv3t1W5uTkxFtvvRXve69duzb58+e3PS5ZsiTe3t629zw6OppffvmFZs2akSNHDlu9AgUK0KBBg3hfR0TSDiXeIpImeXt7A3Dz5s141T99+jROTk62/0DGyJYtG76+vpw+fdquPHfu3LFeI2PGjHZzPUeOHMn169cpVKgQQUFBDBgwgL1799rOHz9+HMMwGDJkCH5+fnbHsGHDAHOe5/3y5s0b67r169fHx8fH7j+28+fPp3Tp0hQqVMhWFhISQu/evcmaNSuenp74+fnZXu/GjRuPfY/iUqpUKYoUKRLr2lmyZLElXpcvX+b69etMmzYt1n3GzOt98D4f1LZtW7Zt22b7ImLTpk0EBwfb/ce9R48eFCpUiAYNGpArVy66du0a55zLx6latSo1atR46FzvmM9C4cKFY50rWrQoV65cITw83K78wc9LTJIU83kJCQnh4sWLtiOmPRLyOU6KuNq2bUvlypV57bXXyJo1K+3atWPBggV2SfixY8c4cOBArLaN+ezF5zPs4uJCy5YtWb58uW1e+JIlS7h7926sLapmzZpFyZIlbesm+Pn5sXLlyif+DMfc5+M+X8eOHePGjRv4+/vHutewsLDHfoZjbNu2jWHDhlGlShXbz/mDTp8+TcGCBXFysv9vWtGiRW3n7/e4doTE//m/fv06q1atolq1ahw/ftx2VK5cmZ07d9q2ucuSJQu1atViwYIFtufOnz8fFxcXWrRoYSs7duwYa9asifXe1q5dG4jf5wji9/k4ffo02bNnt9u9AIj1+/9RHvdvQHBwMLdv347zNRNyHRFJO7RMo4ikSd7e3uTIkcO2sFh8xXfBmwd7nWMY9+3QWLVqVU6cOMHy5ctZu3YtM2bM4PPPP2fKlCm89tprtuSlf//+1KtXL87Xe/A/aPf3WsVwd3enWbNmLF26lK+++opLly6xbds2Pv74Y7t6bdq0Yfv27QwYMIDSpUuTIUMGrFYr9evXf2hvZny0bduWjz76iCtXruDl5cWKFSto3769bSXgmNd+5ZVXHrraccmSJR97jUGDBrFw4ULeeecdFixYgI+PD/Xr17fV8ff3Z/fu3fz888+sXr2a1atX891339GxY8c4F4B7lGHDhlG9enWmTp1q6/V9Go/7vLRo0cKuF7NTp07MnDmTIkWKALBv3z67ERaJ5XFxeXp6snnzZjZu3MjKlStZs2YN8+fPp2bNmqxduxZnZ2esVitBQUF89tlncb5WQECA3eO4PsMA7dq1Y+rUqaxevZpmzZqxYMECihQpYrfS9//+9z86d+5Ms2bNGDBgAP7+/jg7OzN69GhOnDjxJG8BEL/Pl9Vqxd/f3643934P9r7GJSQkhPbt2+Pt7c3cuXMf+v4nVHx+HyX2z//ChQuJiIhg/PjxjB8/Ptb5OXPm2BZVa9euHV26dGH37t2ULl2aBQsWUKtWLbJkyWKrb7VaqVOnDgMHDozzevd/iQhxf46S6vMRl/i85yIi91PiLSJpVuPGjZk2bRo7duygUqVKj6ybJ08erFYrx44ds/Uqgbkq7/Xr18mTJ88TxRCzWnOXLl0ICwujatWqDB8+nNdee418+fIB5hDSmF6dJ9W2bVtmzZrF+vXrOXToEIZh2PXWXbt2jfXr1zNixAiGDh1qK49rGHxCV9tt27YtI0aMYPHixWTNmpXQ0FDatWtnO+/n54eXlxfR0dFPfJ958+alQoUKzJ8/n549e7JkyRKaNWsWa3szNzc3mjRpQpMmTbBarfTo0YOpU6cyZMiQBPUyVatWjerVqzNmzBi79wuwfRaOHDkS63mHDx8mS5YsCd7mbfz48Xa9kzFDU5s0acLo0aP53//+99jEOyniAnMIbq1atahVqxafffYZH3/8MYMHD2bjxo224bZ79uyhVq1aT7VSc9WqVcmePTvz58/nxRdfZMOGDbG2Slu0aBH58uVjyZIldtd6sOc4oXHE5/OVP39+fvnlFypXrvzQLw8ep3Pnzvz7778sX76cXLlyPbRenjx52Lt3L1ar1a7X+/Dhw7bzCZGQn//4mjNnDiVKlIiz137q1KnMnTvXlng3a9aM119/3TYy5ujRowwaNMjuOfnz5ycsLOypfhfG9/ORJ08eNm7cyK1bt+x6vY8fP/7E136Qv78/Hh4ecb5mYl5HRFIPDTUXkTRr4MCBpE+fntdee41Lly7FOn/ixAnbVlMNGzYEYMKECXZ1YnrxGjVqlODrP7hNT4YMGShQoIBtKK2/v7+tV/XChQuxnn/58uV4X6t27dpkypSJ+fPnM3/+fCpUqGA3FDOmd+bB3pgH7xewJWfXr1+P17WLFi1KUFCQ7drZs2enatWqdtdu2bIlixcvjnMEQnzvs23btvz22298++23XLlyJdYQ5AffbycnJ1tP+oPbWsVHzFzvadOm2ZVnz56d0qVLM2vWLLv3aP/+/axdu9b2WUqIsmXLUrt2bdsRMwe6UqVK1K9fnxkzZrBs2bJYz4uMjLRttZUUcYWEhMQqK126NHDvPW3Tpg3nzp1j+vTpserevn071vD2h3FycqJVq1b8+OOPzJ49m6ioqFhtHNfn+Pfff2fHjh129WKSqfh+huHxn682bdoQHR3NqFGjYj03KirqsdeaMGECP/74I2+//TYvvfTSI+s2bNiQixcv2k3hiIqK4ssvvyRDhgxUq1Yt3vcFCfv5j49///2XzZs306ZNG1q1ahXr6NKlC8ePH+f3338HzLUC6tWrx4IFC5g3bx5ubm40a9bM7jXbtGnDjh07+Pnnn2Nd7/r160RFRT3Rfcb1+ahXrx537961+8xarVYmT54c7/cgPrHUrl2bZcuWcf78eVv58ePHWb16daJdR0RSD/V4i0ialT9/fubOnUvbtm0pWrQoHTt2pESJEkRGRrJ9+3YWLlxo25O6VKlSdOrUiWnTpnH9+nWqVavGH3/8waxZs2jWrFmc+/w+TrFixahevTply5YlU6ZM7Ny5k0WLFtGzZ09bncmTJ/Piiy8SFBRE9+7dyZcvH5cuXWLHjh2cPXuWPXv2xOtarq6utGjRgnnz5hEeHh5rb2dvb2+qVq3K2LFjuXv3Ljlz5mTt2rWcPHky1muVLVsWgMGDB9OuXTtcXV1p0qTJI3tL27Zty9ChQ/Hw8KBbt26x5qZ+8sknbNy4kYoVK9K9e3eKFStGSEgIf//9N7/88kucCd6D2rRpQ//+/enfvz+ZMmWK1TP22muvERISQs2aNcmVKxenT5/myy+/pHTp0najGOKrWrVqVKtWLc490j/99FMaNGhApUqV6NatG7dv3+bLL7/Ex8fHtl90Yvn++++pW7cuLVq0oEmTJtSqVYv06dNz7Ngx5s2bx4ULF2ztndhxjRw5ks2bN9OoUSPy5MlDcHAwX331Fbly5eLFF18E4NVXX2XBggW88cYbbNy4kcqVKxMdHc3hw4dZsGABP//8M+XKlYvX9dq2bcuXX37JsGHDCAoKitVujRs3ZsmSJTRv3pxGjRpx8uRJpkyZQrFixQgLC7PV8/T0pFixYsyfP59ChQqRKVMmSpQoQYkSJR567cd9vqpVq8brr7/O6NGj2b17N3Xr1sXV1ZVjx46xcOFCJk6caLfn9/327t3Lu+++S4YMGShVqhT/+9//4qxXsmRJSpYsyf/93/8xdepUOnfuzF9//UVgYCCLFi1i27ZtTJgwId6LRsZIyM9/fMydOxfDMB76BULDhg1xcXFhzpw5VKxYETDb9pVXXuGrr76iXr16saZwDBgwgBUrVtC4cWM6d+5M2bJlCQ8PZ9++fSxatIhTp07ZDU2PS3w/H82aNaNChQr069eP48ePU6RIEVasWGH7PZRYe2wPHz6ctWvXUrlyZd58802io6OZNGkSJUqUYPfu3YlyDRFJRVJiKXURkeR09OhRo3v37kZgYKDh5uZmeHl5GZUrVza+/PJLu2287t69a4wYMcLImzev4erqagQEBBiDBg2yq2MY5pZacW0TVq1aNaNatWq2xx9++KFRoUIFw9fX1/D09DSKFClifPTRR7H2+z1x4oTRsWNHI1u2bIarq6uRM2dOo3HjxsaiRYtsdeLa0upB69atMwDDYrEY//77b6zzZ8+eNZo3b274+voaPj4+RuvWrY3z58/Hue3SqFGjjJw5cxpOTk52Wws9uJ1YjGPHjhmAARhbt26NM75Lly4Zb731lhEQEGC4uroa2bJlM2rVqmVMmzbtoff0oMqVK8e57ZthmFsb1a1b1/D39zfc3NyM3LlzG6+//nqs/Znjwn3bid1v48aNtvt68L3/5ZdfjMqVKxuenp6Gt7e30aRJE+PgwYN2dWK2InpwO66EbNlkGOZWUOPGjTPKly9vZMiQwXBzczMKFixovP3223ZbGiV2XOvXrzeaNm1q5MiRw3BzczNy5MhhtG/fPtaWT5GRkcaYMWOM4sWLG+7u7kbGjBmNsmXLGiNGjDBu3Lhhq/ew9zmG1Wo1AgICDMD48MMP4zz/8ccfG3ny5DHc3d2NMmXKGD/99JPRqVMnI0+ePHZ1t2/fbpQtW9Zwc3Oz+4zHtT1UjEd9vmJMmzbNKFu2rOHp6Wl4eXkZQUFBxsCBA43z588/9Dkx7+vjjvt/Di9dumR06dLFyJIli+Hm5mYEBQXZbXNlGPe21vr0009jXfPB14vvz398PptBQUFG7ty5H3reMAyjevXqhr+/v3H37l3DMMytxjw9PWNtk3a/mzdvGoMGDTIKFChguLm5GVmyZDFeeOEFY9y4cbbfm4+654R8Pi5fvmy8/PLLhpeXl+Hj42N07tzZ2LZtmwEY8+bNs9V72HZicX2O4/r9uH79eqNMmTKGm5ubkT9/fmPGjBlGv379DA8Pj0e+fyKS9lgMQ6tAiIiIiMizbdmyZTRv3pytW7dSuXLlJLtOs2bNHrnVpIikTZrjLSIiIiLPlAe3CoyOjubLL7/E29ub5557Lsmuc+zYMVatWhXn/u0ikrZpjreIiIiIPFPefvttbt++TaVKlYiIiGDJkiVs376djz/++IlXrY9Lvnz56Ny5M/ny5eP06dN8/fXXuLm5PXTbNBFJuzTUXERERESeKXPnzmX8+PEcP36cO3fuUKBAAd588027xS8TQ5cuXdi4cSMXL17E3d2dSpUq8fHHHydqr7qIpA5KvEVERERERESSkOZ4i4iIiIiIiCQhJd4iIiIiIiIiSUiLq8XBarVy/vx5vLy8sFgsKR2OiIiIiIiIOBjDMLh58yY5cuTAyenRfdpKvONw/vx5AgICUjoMERERERERcXD//vsvuXLlemQdJd5x8PLyAsw30NvbO4WjeTpWq5XLly/j5+f32G9hJHmoTRyP2sTxqE0cj9rE8ahNHI/axPGoTRxPWmqT0NBQAgICbPnjoyjxjkPM8HJvb+80kXjfuXMHb2/vVP/BTivUJo5HbeJ41CaOR23ieNQmjkdt4njUJo4nLbZJfKYnp407FREREREREXFQSrxFREREREREkpASbxEREREREZEkpDneIiIiIiKpWHR0NHfv3k3pMByS1Wrl7t273LlzJ83MJ07tUlObuLq64uzsnCivpcRbRERERCQVMgyDixcvcv369ZQOxWEZhoHVauXmzZvxWgBLkl5qaxNfX1+yZcv21LEq8RYRERERSYVikm5/f3/SpUuXKpKY5GYYBlFRUbi4uOj9cRCppU0Mw+DWrVsEBwcDkD179qd6PSXeIiIiIiKpTHR0tC3pzpw5c0qH47BSS5L3LElNbeLp6QlAcHAw/v7+TzXs3LEH1YuIiIiISCwxc7rTpUuXwpGIpG0xP2NPu46CEm8RERERkVTK0XsMRVK7xPoZU+ItIiIiIiIikoSUeIuIiIiIPIvu3IHZs6FlS6he3fxz9myzXJKdxWJh2bJlSX6d9evXU7RoUaKjowEYPnw4pUuXTvLrxmXTpk1YLJZ4rcx/8OBBcuXKRXh4eNIHlgSUeIuIiIiIPGtWrIAcOaBjR1i2DH791fyzY0ez/Mcfk+zSFy9e5O233yZfvny4u7sTEBBAkyZNWL9+fZJd05E8LNG9cOECDRo0SPLrDxw4kA8++CDR9qdOLsWKFeP555/ns88+S+lQnogSbxERERGRZ8mKFdCsGcT0Mlqt9n9evw5Nm5r1EtmpU6coW7YsGzZs4NNPP2Xfvn2sWbOGGjVq8NZbbyX69RLT0y6u9TjZsmXD3d09Sa+xdetWTpw4QcuWLZP0OkmlS5cufP3110RFRaV0KAmmxFtEREREJDWzWuHy5fgd//5r9moDGEbcrxdT3rGjWT8+rxuTtD9Gjx49sFgs/PHHH7Rs2ZJChQpRvHhx+vbty2+//Ward+bMGZo2bUqGDBnw9vamTZs2XLp0yXY+ptd49uzZBAYG4uPjQ7t27bh586atzqJFiyhZsiTe3t5kyZKF2rVr2w1TnjFjBkWLFsXDw4MiRYrw1Vdf2c6dOnUKi8XC/PnzqVatGh4eHnz99dd4enqyevVqu3taunQpXl5e3Lp1C4B3332XQoUKkS5dOvLly8eQIUNsSfvMmTMZMWIEe/bswWKxYLFYmDlzJmA/1PyFF17g3XfftbvO5cuXcXV1ZfPmzQBERETQv39/cubMSfr06alYsSKbNm165Ps/b9486tSpg4eHR6xzU6dOJSAggHTp0tGmTRtu3LhhO/fnn39Sp04dsmTJgo+PD9WqVePvv/+2e77FYmHGjBk0b96cdOnSUbBgQVY88OXNqlWrKFy4MN7e3tSsWZNTp07ZnT99+jRNmjQhY8aMpE+fnuLFi7Nq1Srb+Tp16hASEsKvv/76yPt0REq85clpXpCIiIhIyrt6Ffz943fkzg03bjw86Y5hGGa93Lnj97pXrz42zJCQENasWcNbb71F+vTpY5339fUFwGq10rRpU1uCtW7dOv755x/atm1rV//EiRMsW7aMn376iZ9++olff/2VTz75BDCHbbdv354uXbqwd+9eNm7cSIsWLTD+u+85c+YwdOhQPvroIw4dOsTHH3/MkCFDmDVrlt013nvvPXr37s2hQ4do3bo1jRs3Zu7cuXZ15syZQ7NmzWzbTnl5eTFz5kwOHjzIxIkTmT59Op9//jkAbdu2pV+/fhQvXpwLFy5w4cKFWPcF0KFDB+bNm2eLF2D+/PnkyJGDKlWqANCzZ0927NjBvHnz2Lt3L61bt6Z+/focO3bsoW2wZcsWypUrF6v8+PHjLFiwgB9//JE1a9awa9cuevToYTt/8+ZNOnXqxNatW/ntt98oWLAgDRs2tPuiA2DEiBG0adOGvXv30rBhQzp06EBISAgA//77Ly1atKBx48b8+eefdOvWjffee8/u+W+99RYRERFs3ryZffv2MWbMGDJkyGA77+bmRunSpdmyZctD79FhGRLLjRs3DMC4ceNGSofy1KKjo40LFy4Y0dHRifvCy5cbRsaMhgGG4eRk/2fGjIaxYkXiXi8NSbI2kSemNnE8ahPHozZxPGoTx5OcbXL79m3j4MGDxu3btw0jONj8P1hKHsHBj435999/NwBjyZIlj6y3du1aw9nZ2Thz5oyt7MCBAwZg/PHHH4ZhGMawYcOMdOnSGaGhobY6AwYMMCpWrGgYhmH89ddfBmCcPHnSiIyMNKxWq9018ufPb8ydO9eubNSoUUalSpUMwzCMkydPGoAxYcIEuzpLly41MmTIYISHhxuGYeYNHh4exurVqx96P59++qlRtmxZ2+Nhw4YZpUqVilUPMJYuXWoYhmEEBwcbLi4uxubNm23nK1WqZLz77ruGYRjG6dOnDWdnZ+PcuXN2r1GrVi1j0KBBD43Fx8fH+P777+3Khg0bZjg7Oxtnz561la1evdpwcnIyLly4EOfrREdHG15eXsaPP/5oF/8HH3xgexwWFmYAtvdm0KBBRrFixQyr1Wprk3fffdcAjGvXrhmGYRhBQUHG8OHDHxq/YRhG8+bNjc6dOz+yTmKy+1l7QELyRvV4S8Kl4LwgEREREUmdjMf1sv/n0KFDBAQEEBAQYCsrVqwYvr6+HDp0yFYWGBiIl5eX7XH27NkJDg4GoFSpUtSqVYuSJUvSrl07pk+fzrVr1wAIDw/nxIkTdOvWjQwZMtiODz/8kBMnTtjF8mDvcMOGDXF1dbUNoV68eDHe3t7Url3bVmf+/PlUrlyZbNmykSFDBj744APOnDkTr3uP4efnR926dZkzZw4AJ0+eZMeOHXTo0AGAffv2ER0dTaFChezu4ddff411D/e7fft2nMPMc+fOTc6cOW2PK1WqhNVq5ciRIwBcunSJ7t27U7BgQXx8fPD29iYsLCzWfZUsWdL29/Tp0+Pt7W1rk0OHDlGxYkW7+pUqVbJ73KtXLz788EMqV67MsGHD2Lt3b6xYPT09bcP6UxMl3pIwd+5A587m3x83L6hzZw07FxEREREAChYsiMVi4fDhw4nyeq6urnaPLRYL1v86gpydnVm3bh2rVq2iaNGiTJo0icKFC3Py5EnCwsIAmD59Ort377Yd+/fvt5tnDsQaEu/m5karVq1sw83nzp1L27ZtcXFxAbAlxw0bNuSnn35i165dDB48mMjIyATfX4cOHVi0aBF3795l7ty5BAUFERQUBEBYWBjOzs789ddfdvdw6NAhJk6c+NDXzJIli+0LiITo1KkTu3fvZuLEiWzfvp3du3eTOXPmWPf1qDaJj9dee41//vmHV199lX379lGuXDm+/PJLuzohISH4+fkl+B5SmhJvSZiFC+HatfjNC7p2DRYtSp64RERERJ5VmTNDcHD8jkmTEvbakyfH73UzZ37sS2XKlIl69eoxefLkOPdijtnLuWjRovz777/8+++/tnMHDx7k+vXrFCtWLN6hWywWW8/p33//jZubG0uXLiVr1qzkyJGDf/75hwIFCtgdefPmfezrdujQgTVr1nDgwAE2bNhg64UG2L59O3ny5GHw4MGUK1eOggULcvr0abvnu7m52fbQfpSmTZty584d1qxZw9y5c+2uU6ZMGaKjowkODo51D9myZXvoa5YpU4aDBw/GKj9z5gznz5+3Pf7tt99wcnKicOHCAGzbto1evXrRsGFDihcvjru7O1euXHnsPdyvaNGi/PHHH3ZlD37RARAQEMAbb7zBkiVL6NevH9OnT7c7v3//fsqUKZOgazsCl5QOQFKZZcvAySl+K1c6OcHSpfDKK0keloiIiMgzy8kJ4tsD2K0bDBliTg18VEeKxQK+vtC1K8QxNPlJTZ48mcqVK1OhQgVGjhxJyZIliYqKYt26dXz99dccOnSI2rVrExQURIcOHZgwYQJRUVH06NGDatWqxbkwWFx+//131q9fT506dciUKRN//fUXly9fpmjRooC5CFivXr3w8fGhfv36REREsHPnTq5du0bfvn0f+dpVq1YlW7ZsdOjQgbx589oNny5YsCBnzpxh3rx5lC9fnpUrV7J06VK75wcGBnLy5El2795Nrly58PLyinMbsfTp09OsWTOGDBnCoUOHaN++ve1coUKF6NChAx07dmT8+PGUKVOGy5cvs379ekqWLEmjRo3ijL1evXqxFpAD8PDwoFOnTowbN47Q0FB69epFmzZtbEl8wYIFmT17NuXKlSM0NJQBAwbg6en5yPfpQW+88Qbjx49nwIABdO7cmT179thWdI/xzjvv0KBBAwoVKsS1a9fYuHGjrc3AXG3+3LlzdkP7Uwv1eEvCXL0a7+0isFrhv1UMRURERMQBeHhATOJlscRdJ6Z81qxETboB8uXLx99//02NGjXo168fJUqUoE6dOqxfv56vv/76v8tbWL58ORkzZqRq1arUrl2bfPnyMX/+/Hhfx9vbm82bN9OoUSOKFy/OkCFDGD9+PA0aNADMIc0zZszgu+++IygoiGrVqjFz5sx49XhbLBbat2/Pnj177HqhAV566SX69OlDz549KV26NNu3b2fIkCF2dVq2bEn9+vWpUaMGfn5+/PDDDw+9VocOHdizZw9VqlQhd+7cdue+++47OnbsSL9+/ShcuDDNmjXjzz//jFXvwdc7cOCAbe52jAIFCtCiRQsaNmxI3bp1KVmypN32at988w3Xrl3jueee49VXX6VXr174+/s/9r26X+7cuVm8eDHLly+nXLlyTJ06lY8//tiuTnR0NG+99RZFixalfv36FCpUyC6OH374gbp165InT54EXdsRWIz4rnLwDAkNDcXHx4cbN27g7e2d0uE8FavVSnBwMP7+/jg5JcL3LC1bmr3e8e3xbtYMFi9++uumIYneJvLU1CaOR23ieNQmjkdt4niSs03u3LnDyZMnyZs3b5yLZT3WihXmejzXrt0bzRjzZ8aMZtLdpEmix53cDMMgKioKFxcXLA/7ouEZM2DAAEJDQ5k6dWqKXP9J2yQyMpKCBQsyd+5cKleunIQR2nvUz1pC8kb9lpaEadYsYT3ezZsnaTgiIiIi8gReegnOn4fZs83/31Wvbv45e7ZZngaSbonb4MGDyZMnT4IWPXMEZ86c4f3330/WpDsxaY63JEzr1tC79+PnBcU4dy7JQxIRERGRJ+DhYa7Fo/V4nim+vr68//77KR1GgsUsHpdapWiP9+bNm2nSpAk5cuTAYrGwbNmyR9a/cOECL7/8MoUKFcLJyYl33nknznoLFy6kSJEieHh4EBQUxKpVqxI/+GdVfOYF3e+992DYsPgl6SIiIiIiImlQiibe4eHhlCpVismTJ8erfkREBH5+fnzwwQeUKlUqzjrbt2+nffv2dOvWjV27dtGsWTOaNWvG/v37EzP0Z9rl55tw4uu1nPAqzQnyccJSwP7P/47LZDGfMHIk9O2r5FtERERERJ5JKTrUvEGDBraVBeMjMDDQtiH8t99+G2ediRMnUr9+fQYMGADAqFGjWLduHZMmTWLKlClPH/Qz7vJlePlluHq1NuTdaQ45v34doqPA2cXcdiIyEi6cJzNXmEsH/LgCEyZAaChMmwbOzil7EyIiIiIiIskozc3x3rFjR6y99+rVq/fIYewRERFERETYHoeGhgLmypSpbdGBB1mtVgzDSLT7uH4drlyx4OEBHh4Wc9VLMsaqd8cdrp6CULzNxBvg228xQkMxZs8GN7dEiSc1Suw2kaenNnE8ahPHozZxPGoTx5OcbRJzrZhDHi7m/dH75DhSU5vE/IzFlRsm5Gc9zSXeFy9eJGvWrHZlWbNm5eLFiw99zujRoxkxYkSs8suXL3Pnzp1EjzE5Wa1Wbty4gWEYibKtxdWrzkRF+eLsbMXV9eE/KHdzZiQ6yhnjvDPc93m0LFpEZEgI12bMAE/Pp44nNUrsNpGnpzZxPGoTx6M2cTxqE8eTnG1y9+5drFYrUVFRREVFJem1UjPDMIiOjgbQdmIOIrW1SVRUFFarlatXr+Lq6mp37ubNm/F+nTSXeD+JQYMG2fWSh4aGEhAQgJ+fX5rYx9tiseDn55co/wDcvAkuLhZcXR/daX33LjhlyYLx/iSMPi9huW9EgfuGDWTt0gVj2TJI5e/vk0jsNpGnpzZxPGoTx6M2cTxqE8eTnG1y584dbt68iYuLCy4u+i/94zyYMEnKSy1t4uLigpOTE5kzZ461j/eDjx/5OokdWErLli0bly5dsiu7dOkS2bJle+hz3N3dcXd3j1Xu5OSUJv4hs1gsiXYvTk7mYuYxR4zQUHBxgXTpYq5pHk5162JZuRKaNoXw8Hsx/forljp1YM0ayJz5qeNKbRKzTSRxqE0cj9rE8ahNHI/axPEkV5s4OTlhsVhsh8TNMAzb+6P3yTGktjaJ+RmL6+c6IT/nae63dKVKlVi/fr1d2bp166hUqVIKRZT23b4Nx47BoUNw7VocFWrVgnXrzIXX7rdzJ1SrBhcuJEeYIiIiIoK5WO6JE48/Ll9O6UglOXTu3JlmzZol+XUiIyMpUKAA27dvB+DUqVNYLBZ2794NwKZNm7BYLFy/fj3JY4mJJzAwkJ07dybL9VK0xzssLIzjx4/bHp88eZLdu3eTKVMmcufOzaBBgzh37hzff/+9rU5Mw4SFhXH58mV2796Nm5sbxYoVA6B3795Uq1aN8ePH06hRI+bNm8fOnTuZNm1ast7bs+T8efhvmgbHj0POnODj80ClSpVg0yaoWxeCg++VHzgAVarAL79AYGAyRSwiIiLybLq3Q83j62bODHPngp9f4l2/c+fOzJo1i9GjR/Pee+/ZypctW0bz5s1TxWJbqdWpU6fImzcvu3btonTp0rbyiRMnJsv7PmXKFPLmzcsLL7wQ57oEL7zwAhcuXMAnViKRNNzc3Ojfvz/vvvturI7bpJCiPd47d+6kTJkylClTBoC+fftSpkwZhg4dCsCFCxc4c+aM3XNi6v/111/MnTuXMmXK0LBhQ9v5F154gblz5zJt2jRKlSrFokWLWLZsGSVKlEi+G3vG5M17b7S4YcDZs3DmTBzbdpcqBVu2QECAffmJE/Dii3D4cLLEKyIiIvKsCg01k253d3Mw4sMOd3ez3n+b/SQqDw8PxowZw7U4h0rKgyIjI5P09X18fPB9cGRqIjMMg0mTJtGtW7eH1nFzcyNbtmzJOvy8Q4cObN26lQMHDiT5tVI08a5evbrdNggxx8yZMwGYOXMmmzZtsntOXPVPnTplV6d169YcOXKEiIgI9u/fb5eYS+JzcoL8+SFXrntl167BuXPm9mN2ChWCrVuhQAH78nPnoGpV2LUrqcMVEREReeZ5ekL69A8/knLzmdq1a5MtWzZGjx79yHqLFy+mePHiuLu7ExgYyPjx4+3OBwYG8vHHH9O1a1e8vLzInTt3vEa5HjhwgMaNG+Pt7Y2XlxdVqlThxIkTgLlA3siRI8mVKxfu7u6ULl2aNWvW2J4bMzx6yZIl1KhRg3Tp0lGqVCl27Nhhq3P69GmaNGlCxowZSZ8+PcWLF2fVqlW28/v376dBgwZkyJCBrFmz8uqrr3LlyhXb+erVq9OzZ0/eeecdsmTJQr169Xj55Zdp27at3X3cvXuXLFmy2EYHr1mzhhdffBFfX18yZ85M48aNbfcFkDdvXsDsyLRYLFSvXh2wH2o+bdo0cuTIEWubrKZNm9K1a1fb4+XLl/Pcc8/h4eFBvnz5GDFixCNX1//rr784ceIEjRo1emidB4eaz5w5E19fX37++WeKFi1KhgwZqF+/PhcemKY6Y8YMihYtioeHB0WKFOGrr76ynYuMjKRnz55kz54dDw8P8uTJY/e5y5gxI5UrV2bevHkPjSuxpLk53pI8bt8210q7//DxMZNvq9U8IiLgo4/M4ed2cuc2e76DguzLL1+GGjVg27Zkuw8RERERSV7Ozs58/PHHfPnll5w9ezbOOn/99Rdt2rShXbt27Nu3j+HDhzNkyBBbB12M8ePHU65cOXbt2kWPHj148803OXLkyEOvfe7cOapWrYq7uzsbNmzgr7/+omvXrrakceLEiYwfP55x48axd+9e6tWrx0svvcSxY8fsXmfw4MH079+f3bt3U6hQIdq3b297jbfeeouIiAg2b97Mvn37GDNmDBkyZADg+vXr1KxZkzJlyrBz507WrFnDpUuXaNOmjd3rz5o1Czc3N7Zt28aUKVPo0KEDP/74I2FhYbY6P//8M7du3aJ58+YAhIeH07dvX3bu3Mn69etxcnKiefPmtiT6jz/+AOCXX37hwoULLFmyJNb707p1a65evcrGjRttZSEhIaxZs4YOHToAsGXLFjp27Ejv3r05ePAgU6dOZebMmXz00UcPfd+3bNlCoUKF8PLyemiduNy6dYtx48Yxe/ZsNm/ezJkzZ+jfv7/t/Jw5cxg6dCgfffQRhw4d4uOPP2bIkCHMmjULgC+++IIVK1awYMECjhw5wpw5cwh8YHprhQoV2LJlS4LiehJpblVzSVre3uaw8qtXzcQ6Lv7+cPGiucp5WBi8+y706wcvvHBfpWzZzDnfDRrAf78EALhxw5wHvmwZ1KmThHciIiIikvYsW2YeDxMaCqdPm6MTH5yJefQo3Lpl/j0qCiIjYcCA2Lu/NmtmHk+jefPmlC5dmmHDhvHNN9/EOv/ZZ59Rq1YthgwZAkChQoU4ePAgn376KZ07d7bVa9iwIT169ADg3Xff5fPPP2fjxo0ULlw4zutOnjwZHx8f5s2bZ9vOqlChQrbz48aN491336Vdu3YAjBkzho0bNzJhwgQmT55sq9e/f39b7+2IESMoXrw4x48fp0iRIpw5c4aWLVsS9F8nU758+WzPmzRpEmXKlOHjjz+2lX377bcEBARw9OhRWywFCxZk7Nixtjr58+cnffr0LF26lFdffRWAuXPn8tJLL9mS2ZYtW9rd67fffoufnx8HDx6kRIkS+P03WT9z5swP3fEpY8aMNGjQgLlz51KrVi0AFi1aRJYsWahRo4btft977z06depku79Ro0YxcOBAhg0bFufrnj59mhw5csR57lHu3r3LlClTyJ8/PwA9e/Zk5MiRtvPDhg1j/PjxtGjRAjB79WO+DOjUqRNnzpyhYMGCvPjii1gsFvLkyRPrGjly5OD06dMJji2hlHhLgvj5mYtsPG6+T2gofPON+Yv97l1znlAsmTKZi6o1bQr3favGrVvQuDHMn//0v9VFREREniG3bj164bTwcDOpjlkY934xyXbM36OizGmDd+/GvkZiGDNmDDVr1rTrwYxx6NAhmjZtaldWuXJlJkyYQHR0NM7OzgCULFnSdt5isZAtWzaC/1vIt0GDBraezDx58nDgwAF2795NlSpV4txDOjQ0lPPnz1O5cuVY192zZ49d2f3XzZ49OwDBwcEUKVKEXr168eabb7J27Vpq165Ny5YtbfX37NnDxo0bbT3g9ztx4oQt8S5btqzdORcXF9q0acOcOXN49dVXCQ8PZ/ny5XZDpI8dO8bQoUP5/fffuXLliq2n+8yZMwla76pDhw50796dr776Cnd3d+bMmUO7du1sW2ft2bOHbdu22fVwR0dHc+fOHW7dukW6mP2F73P79u0E7XkdI126dLakG8z3OqZ9w8PDOXHiBN26daN79+62OlFRUbYF2jp37kydOnUoXLgw9evXp3HjxtStW9fuGp6entxKrA/1IyjxlgTz84vf6paffw6TJ0OePPDA7457vLxg5Upo0wZ++uleeWQktGoFM2fCK68kRtgiIiIiaV66dPcWvY2Lq6s5KvG/vNWOiwu4uZl/j9me2Nc3do93HHnVE6latSr16tVj0KBBdr3YCfFgAm2xWGwJ54wZM7h16xZRUVF4/jdp3TORJq/ff92YxcBirvvaa69Rr149Vq5cydq1axk9ejTjx4/n7bffJiwsjCZNmjBmzJhYrxmTwAOkT58+1vkOHTpQrVo1goODWbduHZ6entSvX992vkmTJuTJk4fp06fb5mmXKFEiwYuzNWnSBMMwWLlyJeXLl2fLli18/vnntvNhYWGMGDHC1st8v4cl11myZGHfvn0JigPibt+YFdhjht1Pnz6dihUr2tWL+WLmueee4+TJk6xevZpffvmFNm3aULt2bRYtWmSrGxISYhsNkJSUeEuScXWF3r1jlxuGOQTdNsXD0xOWLIGOHeH+hQ2io+HVV83u8/+GEImIiIjIwz1uGPiJE9C6tZlQP+i+EdeEh5u93Z9+ai6im1Q++eQTSpcuHWtoeNGiRdn2wLo/27Zto1ChQrak6nFy5syJYRhERUXh4mKmPSVLlmTWrFncvXs3VlLn7e1Njhw52LZtG9WqVbO7boUKFRJ0XwEBAbzxxhu88cYbDBo0iOnTp/P222/z3HPPsXjxYgIDA20xxdcLL7xAQEAA8+fPZ/Xq1bRu3dp2D1evXuXIkSNMnz6dKlWqALB161a757v9961KdFzDHe7j4eFBixYtmDNnDsePH6dw4cI899xztvPPPfccR44cocCDiyU/QpkyZfj6668TdduyrFmzkiNHDv755x/b/PO4eHt707ZtW9q2bUurVq2oX78+ISEhZMqUCTAXu4vZZSspKfGWJBXXbgArVsCiRfDBB2D7HevqCv/7H2TIADNm2D/hrbfM5Pu+vR5FREREJPULCgqiQ4cOfPHFF3bl/fr1o3z58owaNYq2bduyY8cOJk2aZLdi9ZPo2bMnX375Je3atWPQoEH4+Pjw22+/UaFCBQoXLsyAAQMYNmwY+fPnp3Tp0nz33Xfs3r2bOXPmxPsa77zzDg0aNKBQoUJcu3aNjRs3UrRoUcBceG369Om0b9+egQMHkilTJo4fP868efOYMWPGY79UePnll5kyZQpHjx61WwAtY8aMZM6cmWnTppE9e3bOnDljt086gL+/P56enqxZs4ZcuXLh4eHx0D2zO3ToQOPGjTlw4ACvPDD6dOjQoTRu3JjcuXPTqlUrnJyc2LNnD/v37+fDDz+M8/Vq1KhBWFgYBw4coHjx4o99D+NrxIgR9OrVCx8fH+rXr09ERAQ7d+7k2rVr9O3bl88++4zs2bNTpkwZnJycWLhwIdmyZbPbPm3Lli2MGjUq0WJ6GK1qLslq925z7vf16zBokP3UbpydYdo0cyW2Bw0aBO+/H8fm4CIiIiKSUHHtUHP/cft28sUycuTIWNtXPffccyxYsIB58+ZRokQJhg4dysiRI594SHqMzJkzs2HDBsLCwqhWrRply5Zl+vTptp7jXr160bdvX/r160dQUBBr1qxhxYoVFCxYMN7XiI6O5q233qJo0aLUr1+fQoUK2b4wiOlRj46Opm7dugQFBfHOO+/g6+trm0P9KB06dODgwYPkzJnTbi66k5MT8+bN46+//qJEiRL06dOHTz/91O65Li4ufPHFF0ydOpUcOXLEmkN/v5o1a5IpUyaOHDnCyy+/bHeuXr16/PTTT6xdu5by5cvz/PPP8/nnn8e5cFmMzJkz07x58wR9gREfr732GjNmzOC7774jKCiIatWqMXPmTNvWaV5eXowdO5Zy5cpRvnx5Tp06xapVq2zv9Y4dO7hx4watWrVK1LjiYjESs78/jQgNDcXHx4cbN27g/eCkllTGarUSHByMv79/vH6Yk1poKIweDfv33ytr1cocZW7rHTcM+PBDGDo09gu89RZ88cW9iUepkKO1iahNHJHaxPGoTRyP2sTxJGeb3Llzh5MnT5I3b94ELVp1+TK8/PKjF2CLkTmzuahuMkx/TTL3DzW3xDUUU5LN3r17qVOnDsePH8fDw8Mh2qRt27aUKlWK999//6F1HvWzlpC8UUPNJVl5e8OoUTB1KqxZY5YtWgRnzkD//uZ0bywWGDLErPzOO/YvMHmymb1/+625AoiIiIiIxFt8d6gB879iqTnpFsdSsmRJxowZw8mTJ21D71NSZGQkQUFB9OnTJ1mup8xFkp2Li7lWWp48MH06WK3mVt4DBpj5dtas/1Xs3dtcga17d7NSjNmzzdXZfvjhIfuUiYiIiMjDxHeHGpHE1rlzZ9sohJTm5ubGBx98kGzX07gkSREWi7lV94gRELNbwunT0KeP/TB0unY1E+wHe7eXLoUmTcxJSCIiIiIiIg5MibekqNKlYfx4yJnTfHzzpjma3G6XgzZtYPlyeHD+0rp1UK+euVKbiIiIiIiIg1LiLSkuZ04z+S5TxpzjPWiQucC5nYYNzUnhts2//7NtG9Ssaa4UIiIiIiIi4oCUeItDSJ8ehg2DsWMhd+6HVKpWDdavh/82u7fZtQuqVoWzZ5M8ThERERFH8uA2XCKSuBLrZ0yLq4nDcHaGwED7sqgoc+h5q1b/DUcvXx5+/RXq1IGLF+9VPHwYqlSBX36B/PmTM2wRERGRZOfm5oaTkxPnz5/Hz88PNze3FN+ayRFpOzHHk1raxDAMIiMjuXz5Mk5OTri5uT3V6ynxFodlGPDVV2YuvWMHvPeeOSecEiVgyxaoXdtckS3GqVNm8r1uHRQvnkJRi4iIiCQ9Jycn8ubNy4ULFzh//nxKh+OwDMPAarXi5OTk0EnesyS1tUm6dOnInTs3Tk5PN1hcibc4rFu34MgR8+/h4eZQ9P/7P3O6t6VAAdi61ez5Pnz43pMuXDCHnf/8M5QrlzKBi4iIiCQDNzc3cufOTVRUFNF2K9NKDKvVytWrV8mcOfNTJ06SOFJTmzg7Oydaz7wSb3FY6dPDp5/CuHHw55/mVt5Tppid3P/3f+CSK5c57LxePdi9+94TQ0LMBdd++slMwkVERETSKIvFgqurK66urikdikOyWq24urri4eHh8Enes+JZbZNn504lVUqXDj74wJzjHWP1ahg61Nx6DH9/2LgRXnjB/ok3b5oJ+erVyRqviIiIiIjIg5R4i8NzcoJOnaBvX3D5b4zGvn3m43//BXx9Ye1ac9j5/e7cgaZNYeHC5A5ZRERERETERom3pBo1asDo0WaeDeai5v36wT//YI5L//FHaNbM/kl370K7dvDdd8kcrYiIiIiIiEmJt6QqRYrA559Dvnzm4/z579v3293d7N1+9VX7J1mt0LUrTJyYrLGKiIiIiIiAEm9JhbJkgTFjoEkTGDTo3vBzwHwwcyb06BH7ie+8A6NGmfuUiYiIiIiIJBMl3pIqeXiYK5t7e9uXnz0LN246waRJ5sbfDxo6FAYOVPItIiIiIiLJRom3pBk3bph7fffpAydPWcwJ4aNHx644bhy88QZov0sREREREUkGSrwlzZg2DYKD4fJls1P7t98we70nT4678quvmouviYiIiIiIJCEl3pJmdOsGhQqZf79zBz76CBYsAOPNHvD99+DsbP+EH36Ali3NyiIiIiIiIklEibekGZkymSPLq1e/VzZ7tjmyPLLtq+aK525u9k/68Udo2BBu3kzWWEVERERE5NmhxFvSFDc36NsXOna8V7Z5szniPKRaczPR9vS0f9LGjVCnDoSEJG+wIiIiIiLyTFDiLWmOxQKtW8MHH5irnwMcO2YuunYsb11Yty72cui//w41asClS8kfsIiIiIiIpGlKvCXNqlgRPv0U/P3NxyEhcPgwULkybNpkbgh+v717oUoVOHMmuUMVEREREZE0TIm3pGmBgfDZZ1CsGNStC40b/3eiTBlzDHrOnPZPOHYMXnwRjh5N7lBFRERERCSNUuItaZ6PD3z4Ibz5pjkM3aZoUaybt0K+fPZP+Pdfs+d7795kjVNERERERNImJd7yTHB1BRcX+7I//4S+XwRyedk2s0v8fsHBUK3af5uBi4iIiIiIPDkl3vJMOnPGnP994gT0GZONQ9O3Qrly9pWuX4fatWHDhhSJUURERERE0gYl3vJMsljA19f8+40b8P6nGVk/ZBNUrWpfMTzc3Of7xx+TO0QREREREUkjlHjLMykgAMaPh5IlzcdRUTBhenq+a78Wa/2G9pUjIqB5c/jhh+QPVEREREREUj0l3vLM8vKCESPMDu0YS1a682GF5dxq3sG+cnQ0dOgA06Ylb5AiIiIiIpLqKfGWZ5qLi7na+ZtvgtN/Pw1//u1C/6zfc7Ftb/vKhgGvvw7jxiV/oCIiIiIikmop8RbB7PUeNQoyZDAf/3vWiSEZPifq7T6xKw8YAEOHmom4iIiIiIjIYyjxFvlPyZLw2WeQK5e5+Nobb1pwmTjeTLIfNGoUvPMOWK3JHqeIiIiIiKQuLo+vIvLsyJ7dHEm+bx+ULQtgMSeCe3tD//72lb/4Am7ehOnTwdk5JcIVEREREZFUQD3eIg9Inx6ef96+zOjbj+VvriGMDPYnvvsO2reHyMjkC1BERERERFIVJd4i8bBsGcz4tx79a/3NOefc9icXLoRmzeDWrZQITUREREREHJwSb5HHuHULliwx/37OsyD9XtjObtfy9pVWr4b69SE0NPkDFBERERERh6bEW+Qx0qWD8eMhMNB8HO6Tk2HlV/Kjeyvs1jXfsgVq1YIrV1IgShERERERcVRKvEXiwd8fxo6FihXNx9ZMfkwrN43JngOI4r6F1XbuhGrV4Pz5lAlUREREREQcjhJvkXjy9ITBg6F16/8KMmbk5/IfMCTdZ4Tida/iwYNQpQqcPJkicYqIiIiIiGNR4i2SABYLdOwI/fqBqyvg7c3+il3pm34q58hxr+I//5jJ96FDKRariIiIiIg4BiXeIk+genUYPRoyZgTSZ8DppSZ45/e3r3TuHFStCn//nRIhioiIiIiIg1DiLfKECheGzz6DkiVhyJgMeG1bYz6435UrUKMGbN2aMkGKiIiIiEiKU+It8hSyZIGPPoKAACBrVti0CZ5/nptkIBJXs1JoKNStC2vXpmSoIiIiIiKSQpR4iySmjBm5u2odo3LPYDAfcQ1fs/z2bWjSBJYuTdHwREREREQk+SnxFklkM+Zl4FCJVhzOWo2+fMY/5DVPREaaS6J//33KBigiIiIiIslKibdIIqtXD7L4O0PZclzJUYqBjGU7lcyT0dE4delCuu++S9kgRUREREQk2SjxFklk+fKZi64VLuoEZcoQkbsQoxnEPNpi/FfH+/334ZNPUjROERERERFJHkq8RZJAxozw8cdQo6YFSgZB/vzMoQOfMoAI3ABwGjwY3nsPDOMxryYiIiIiIqmZEm+RJOLmBn36QOfOFizFikLhImyhCu/xCVfJZFYaMwbeegus1pQNVkREREREkowSb5EkZLFAy5bwwQcWPIIKQvESHKcAP9H4XqWvv4ZOnSAqKuUCFRERERGRJKPEWyQZVKgA48aBf8W8lGgYwMuWH+wr/O9/5ornEREpE6CIiIiIiCQZJd4iySRPHnPRtffmliRs2lcYrq72FZYtM/f6Dg9PkfhERERERCRpKPEWSUY+PuDlBRGNG2MsWwaenpwiD+Ppyx3cYd06qFsXrl9P6VBFRERERCSRKPEWSSn163Nj8S+Mch3JJqozgE8Jxg+2b4caNSA4OKUjFBERERGRRKDEWyQFnQ98gfDqjcHVjVME0pfPOEhR2L0bqlaFs2dTOkQREREREXlKSrxFUlDRojDu20xkb1oe3D24gQ+D+YhfqAVHjsCLL8Lx4ykdpoiIiIiIPAUl3iIpLFcuGP9tJkp1Kwee6YjChYn05hu6Yj19BqpUgf37UzpMERERERF5Qkq8RRyAlxcMn5iRxsOeg/QZAFhGM0YylPCLoVCtGvz5ZwpHKSIiIiIiT0KJt4iDcHGB19/NSI8Zz+HsYybff1GW9/iEqJAbULMm/PprCkcpIiIiIiIJpcRbxME0aOfDyJXl8MriAUA9fsaFaAgLg/r1YdWqFI5QREREREQSQom3iAMqWdmL8b9V5tWSe2nEynsn7tyBpk1hwYKUC05ERERERBJEibeIg8qePx1t/uiPpUULu/LdUcWJavcKfPttCkUmIiIiIiIJocRbxJG5u8P8+dCxIwB/UJ6hjGS4MZSb3XrDhAkpG5+IiIiIiDyWEm8RR+fiAt99x53XezOBdzCwsIdS9GM8Z/uMg5EjwTBSOkoREREREXkIJd4iqYGTEx5ff86Q/wvGhxsAXCA7/RnHX8OWw4ABSr5FRERERByUEm+R1MJioejUd/jsg2vk5SQA4aRnBMNYPv4Yxv+9DtHRKRykiIiIiIg8SIm3SCrjP+ptxk70oBK/AWBgYQavMWmGO1HtX4W7d1M4QhERERERuZ8Sb5FUyKPX/zHo+6K0tSy0la2lLh8sLMmNxh3g9u0UjE5ERERERO6nxFsklbK8+gqvLGnBAJcJuBEJwCkCCVu7DRo2hJs3UzhCEREREREBJd4iqVuzZlRdPYhPPEaQhSu8yxhych42bYLatSEkJKUjFBERERF55inxFkntatem4PopTPUeSBl23yv/4w+iqtXCuHAxxUITEREREREl3iJpwwsv4PbrOvDzsxUZwJf7q/NZ0HdEHjudcrGJiIiIiDzjlHiLpBWlS8PmzZArFwBLac4GarLpagneL7uGkN+PpWx8IiIiIiLPKCXeImlJkSKwZQvkz082LuJOBABHbuagX7WdnPjpUAoHKCIiIiLy7FHiLZLWBAbCli28UOImYxlIFq4AcCUiAwNbHGPrlP0pG5+IiIiIyDNGibdIWpQ9O2zaRL7yWficPhThMACRdy2M6XmGHwbvxzBSOEYRERERkWeEEm+RtCpzZli/Ht9qpfmY96nFerM8Opq5o08ztvNBIiJSNkQRERERkWeBEm+RtMzLC1avxrVhXXozka58iwUDDCtbv/+HWW/9ntIRioiIiIikeUq8RdI6T09YuhRLmzY0ZxlDGIUnt8nOedp/UwemTk3pCEVERERE0jSXlA5ARJKBmxvMnQteXpT/5hvG0R9novHiJrzxBoSGwoABKR2liIiIiEiapMRb5Fnh7AzTp4O3N7k//9z+3MCBXL8UwS8VB9OylQWLJWVCFBERERFJi5R4izxLLBYYPx58fGD4cFvxXVz4eLwbhwIPcPhwMfr1d8LTM+XCFBERERFJSzTHW+RZY7HAsGFmAv6fAxTnCIXh1El+n7aXgf2tBAenYIwiIiIiImmIEm+RZ1XfvubQc4uF0uxhBMNITzic/ZdTS/6mT69oDhxI6SBFRERERFI/Jd4iz7LXXoMffgAXF0qzh/H0Iyfn4OIFQjf8yQeDoli3LqWDFBERERFJ3ZR4izzr2raFZcvAw4OcnGcc/SnDLrh8mahtv/PF+LvMmAHR0SkdqIiIiIhI6qTEW0SgUSNYvRoyZCAD4QxjBE34EUJCYMcOli+MZORIuHs3pQMVEREREUl9lHiLiKl6dVi/HjJmxBkr/8d03mIyzqEhsH072Tyu4+qa0kGKiIiIiKQ+SrxF5J4KFeDXXyFrVgDq8zMf8gEvhq2m+7Ty8M8/KRygiIiIiEjqo8RbROwFBcGWLZA7NwAlOMC7jMXl1HGoUgUOHgTg0qWUDFJEREREJPVI0cR78+bNNGnShBw5cmCxWFi2bNljn7Np0yaee+453N3dKVCgADNnzrQ7P3z4cCwWi91RpEiRpLkBkbSqYEHYuhUKFbIvP38eqlbl5Ip99OwJX38NUVEpE6KIiIiISGqRool3eHg4pUqVYvLkyfGqf/LkSRo1akSNGjXYvXs377zzDq+99ho///yzXb3ixYtz4cIF27F169akCF8kbQsIgM2boVQpu+KIqzf5sNVu7py/yqpVMGwY3LyZQjGKiIiIiKQCLil58QYNGtCgQYN4158yZQp58+Zl/PjxABQtWpStW7fy+eefU69ePVs9FxcXsmXLlujxijxzsmaFjRvNVc937ADAnUheufstX/zmQ1T559m7159+/WDIEDNXFxERERERe6lqjveOHTuoXbu2XVm9evXY8V9CEOPYsWPkyJGDfPny0aFDB86cOZOcYYqkLRkzwtq1UKuWragGmxhtHYjvH+vgwgUuXID+/eGvv1IwThERERERB5WiPd4JdfHiRbL+t9pyjKxZsxIaGsrt27fx9PSkYsWKzJw5k8KFC3PhwgVGjBhBlSpV2L9/P15eXnG+bkREBBEREbbHoaGhAFitVqxWa9LdUDKwWq0YhpHq7yMtSZVtki4drFiBpX17LCtWAFCEI3xmvMOov4bwT6lmhOcKYPhw6NLFoGlTsFhSNuSESJVtksapTRyP2sTxqE0cj9rE8ahNHE9aapOE3EOqSrzj4/6h6yVLlqRixYrkyZOHBQsW0K1btzifM3r0aEaMGBGr/PLly9y5cyfJYk0OVquVGzduYBgGTk6paoBDmpWq22TSJHycnfFcuhQAP64wloF8vucCm+90JTp3AFOmwP79kXTpcivV7PudqtskjVKbOB61ieNRmzgetYnjUZs4nrTUJjcTsNBRqkq8s2XLxqUH9jC6dOkS3t7eeHp6xvkcX19fChUqxPHjxx/6uoMGDaJv3762x6GhoQQEBODn54e3t3fiBJ9CrFYrFosFPz+/VP/BTitSfZssWIDRsyeWqVMB8CCC9/iE3EfO8APDoUABdu50p1WrDKSWDQVSfZukQWoTx6M2cTxqE8ejNnE8ahPHk5baxMPDI951U1XiXalSJVatWmVXtm7dOipVqvTQ54SFhXHixAleffXVh9Zxd3fH3d09VrmTk1Oq/zAAWCyWNHMvaUWqbhMnJ3MfMR8fGDsWAAvQgbnkPnKGCcZXdPusBMWKpa57S9VtkkapTRyP2sTxqE0cj9rE8ahNHE9aaZOExJ+idxoWFsbu3bvZvXs3YG4Xtnv3bttiaIMGDaJjx462+m+88Qb//PMPAwcO5PDhw3z11VcsWLCAPn362Or079+fX3/9lVOnTrF9+3aaN2+Os7Mz7du3T9Z7E0nTLBb45BP46CO74ips5eujtWj4Uw9IA/N2REREREQSQ4r2eO/cuZMaNWrYHscM9+7UqRMzZ87kwoULdiuS582bl5UrV9KnTx8mTpxIrly5mDFjht1WYmfPnqV9+/ZcvXoVPz8/XnzxRX777Tf8/PyS78ZEngUWC7z/Pnh7w9tv24r9uQxTppibe3/3Hbi6smiRmYe3bp26Fl0TEREREUkMKZp4V69eHcMwHnp+5syZcT5n165dD33OvHnzEiM0EYmvnj3Bywu6drXv5Z4zB8LC+L3vfL7/3h3DgNOnoXdvcHNLuXBFRERERJJb6h5ULyKOoVMnWLCAWMuYL1/O+Z4fY9yNAmDzZnjvPQgJSYEYRURERERSiBJvEUkcLVvCjz/CAzsMNN83kvfP9sDDORKAY8egTx/zTxERERGRZ4ESbxFJPPXqwc8/m/O+71Np/3TGHmmGX4bbgNnj/d57sGVLSgQpIiIiIpK8lHiLSOKqUgU2boTMme2K8x5ezed/vkjRnKEAREaau5HNmQOPWOpBRERERCTVU+ItIonvuefMCd05ctgV+5z4m49WlaF2qcu2snnzzMXPRURERETSKiXeIpI0ihUzx5LnzWtX7PrvP/SaUZJutU9jsUD69OYIdRERERGRtCpFtxMTkTQuXz4z+a5TBw4dshVbLl2k2YgyBHy+GedSJciZ895TLl+G0NDHv7S3N/j5JUHMIiIiIiKJTIm3iCStnDnNYef168Nff90rv3aNsj0rmSuhUx0wk+727eHff82e8EfJnBnmzlXyLSIiIiKOT0PNRSTpZckC69fDiy/al4eFQYMGsHIlADduwOHDEBwMt2+Djw/4+sY+3N3h6tX49YyLiIiIiKQ0Jd4ikjx8fMytxh6c0H3nDjRrBvPnc+AA3LwJTk7mlmPnz4OHh9n7ff/xwFbhIiIiIiIOTYm3iCSfdOlg+XJo2dK+PCoK2renxIH5+PmBxWIWX78OBw+avd8iIiIiIqmVEm8RSV7u7uYeYp0725cbBgx+H+87l8iXD1z+W4Hi9m3Yt89cm+3yZYiOTvaIRURERESeihZXE5Hk5+IC33wDXl7w5Zf2586dI4NrOMUK5+Ho3tvcCYsCq5WbN5y4edmd054e5MhpSZm4RURERESegBJvEUkZTk4wcaI59/vDD+3PnTqJx5lDFLdCMFm5QhZu4wkRd7DevIlHRmdue2a2VbdazZcTEREREXFESrxFJOVYLDBqlNnz/e679uesVpyB7FwgOxcIJz1XyEKE4Y774bPczlcW8AVgwQL44w+oVQuqVjVfTkRERETEUSjxFpGUN3AgeHvDm58+tEp6wklPOADhpIPTpyHCE8NwZ8MGuHABjh2DGTOgQgUzCX/uuXtzxUVEREREUor+SyoijuGNN2DzOfgBc1j5I9zG01xlbfVqbuRoZre9WFQUbN9uHj4+UL061KwJ+fIlbfgiIiIiIg+jxFtEHIZ36Fkyc5WrZCYCj0fWzcxVvDcux7dfMyZOhFOnYP162LTJ3IYM4MYNc/ey5cshMNDsWA8ISOKbEBERERF5gBJvEXEYfmEnmcvLhOL92LrehOIXXsL2ODAQunUzdyn7+28zCf/9d7MHHODiRfDzS5q4RUREREQeRYm3iDiOzJnxcwrBz3olfvWPHYM9e6BUKVuRszOUL28eN2/Cli2wYYPZ0+3xQCf61Knmiug1apjD0kVEREREkoISbxFxHM2awZIl8a9/7hyULg0vvQQffGBm2/fx8oKGDc0jpuc7xq1bsHYtREbCypUWsmTxpmFDc1G2zJkREREREUk02vlWRBxH69aQMaO5zVhCrFhhLmVevz5s3RpnlQdXNz9xwv7x+fNOfP+9hS5dYOhQ2LzZTMpFRERERJ6WEm8RcRweHjBrlvn3hCbfAD//DFWqmGPHN2wAw3ho1aAgmD0bevWCEvemimMYsGsXfPopvPoqfPklREQkPBQRERERkRhKvEXEsTRpAsuWga+v+djJyf7PjBlh7lz48EPIlCnu19i0yRwzXrkyrFr10AQ8XTqoUwc+/thg3LhQ2rUzyJr13vlbt+DQIXBzS4wbExEREZFnlRJvEXE8L70E58+bXdLNmpmbcTdrZj4+fx7at4fBg+H0aRg7Fvz9436dHTugUSMoVw6WLjVXUnsIf38rL78M06fD6NFQu7bZAV+zZuzO96+/NldNv3MnsW5YRERERNIyi2E8YizmMyo0NBQfHx9u3LiBt/fjtzVyZFarleDgYPz9/XFy0vcsjkBtkgRu34YZM2DMGHPBtYcpUcJchK1VK3P58/88rE3u3DFz9XTp7r3EmTPw1lvm393dzU71WrXMoetPMjpe4qafE8ejNnE8ahPHozZxPGoTx5OW2iQheWPqvlMREQBPT3j7bXPFtKlTzU2947J/P7RrB8WLw/ffw927j3xZDw/7pBvMvcFjRESYU8kHDzb3EI/pkBcRERERuZ8SbxFJO9zd4f/+D44ehe++g4IF46535Ah06gSFC8O0aQlaPa1VKxg3Dho0gPTp75VfvgwLFsDrr8OAAbBu3VPei4iIiIikGUq8RSTtcXWFzp3NldHmzjV7uONy8iS8/jqWQoVI9+235pD1x7BYzHy9Rw+z0/zdd80p5PePlDp82L5nXERERESebUq8RSTtcnY2F2LbuxcWL4YyZeKsZjl7Fu/Bg7EUKADjx0NYWLxe3s0NXnwRhg2DmTOha1fIk8c8V7u2fd27d82h6KdPP8X9iIiIiEiqpMRbRNI+Jydo0QL++gt++gkqVoyzmuXiRejf35wj/vHHcONGvC+RMSM0b27u+z1hgtkLfr8//zSHovfsCX36wI8/Qmjok9+SiIiIiKQeSrxF5NlhsZjbi+3YYU7Crlo17npXr5orpgUGmt3ZISEJukT+/ODiYl++ceO9vx8/bk4t79TJzO9//x2iohJ+OyIiIiKSOijxFpFnj8VijgX/9Vf49VeMOnXirnf9OowcaY4ff+89CA5+4ku+/ba57lv+/PfKoqLM7wA+/NCckj59Opw69cSXEBEREREHpcRbRJ5tVatirFnD1ZUrMRo3jrtOWJi5R3hgoDlO/FF7hT+Etzc0aWIOQ580yRyWnjHjvfM3bsCKFbBp05PchIiIiIg4MiXeIiLA3eeew1i+HHbtgpYt4650+7aZOefLZy5r/oQrpeXJYy7E9t13MHw4VKliLsQOUKuWfd2QENi6FSIjn+hSIiIiIuIAXB5fRUTkGVK6NCxaBAcOwOjR8MMPYLXa14mMhK+/NseGd+wIgwZBgQIJvpSzM5Qtax7h4WbOHxBgX2f9enPbsvTpzSnptWpBoULmaHkRERERSR3U4y0iEpfixeF//zM35e7aNfZqaWBO0v72W3Nj71degYMHn/hy6dObW5PdzzDMxBvMxHz1anPR9TffNFdIv3LliS8nIiIiIslIibeIyKMULAjffAPHjsEbb5ibdz/IaoU5c6BECWjdGnbvTrTLv/km1KgB7u73ys6dM/cE79oVhgwxV0y/cyfRLikiIiIiiUyJt4hIfAQGmsPL//kHevcGD4/YdQzDHKZepgy89BL88cdTXdJigVKloG9fM9Hu3dvM7e+/3O7d8NlnsGXLU11KRERERJKQEm8RkYTImdNcYO3UKRg4EDJkiLvejz9CxYpQr565OtpT8vQ0d0AbPRpmzIAOHSBbNvOcu3vsYeoXLsDFi099WRERERFJBEq8RUSeRNas5hZjp06Z4719fOKut3atuWx59ermhG3DSJRLt2sH06bBJ5/A66+bifn95s+H7t3Ndd/WrTMXZBcRERGRlKHEW0TkaWTODCNHmluLffih+Tguv/5qdlm/8AKsWpUoCbjFYq4BV6eOffmdO7Btm/n3/fvhiy/Mtd8++8wcmv7gIu0iIiIikrSUeIuIJAYfHxg82OwB//RTs1s6Lr/9Bo0aQblysHRpkmTBViu0bWuOio8RGWkuwjZkCHTrZm5Rdu5col9aREREROKgxFtEJDFlyGDu+XXypNnVfH/2e7+//4YWLczV0+bNg+joRAshXTpo1cpcC27cOGjY0H4q+pUrsHChuUj7P/8k2mVFRERE5CGeOPE+fvw4P//8M7f/mzhoJMKwSRGRNMPTE95+G06cgKlTzVXR47J/P7RvD8WKwaxZcPduooVgsZhbjL/5ptnD/d57UL48OP33mz97dsib1/45V64k6ncAIiIiIsITJN5Xr16ldu3aFCpUiIYNG3LhwgUAunXrRr9+/RI9QBGRVM3dHf7v/+DoUZg5EwoVirve0aPQubOZKU+bBhERiRqGqytUrgxDh5r5fbdu5pbjFot9vTFjoEsX+PZbc9S8iIiIiDy9BCfeffr0wcXFhTNnzpAuXTpbedu2bVmzZk2iBicikma4ukKnTnDwIPzwg7kqWlxOnjSXKS9QAL78MkmWI/f1hWbNYi/Kdu4cHD4M166Z08/fftvcO3zFCrhxI9HDEBEREXlmJDjxXrt2LWPGjCFXrlx25QULFuT06dOJFpiISJrk7GzuBbZ3LyxZAmXKxF3v7Fno1cscCz5uHISFJXloVqu56LqLy72yf/6B6dPN7ww+/BB27ICoqCQPRURERCRNSXDiHR4ebtfTHSMkJAR3d/dECUpEJM1zcoLmzeGvv2DlSnj++bjrXboEAwaYc8Q/+ihJu54DAsx9v7//3lx4rWDBe+eio+H33+Hjj82h6Ik8El5EREQkTUtw4l2lShW+//5722OLxYLVamXs2LHUqFEjUYMTEUnzLBZz2fHt2+GXX6BatbjrXb0KH3wAefKYE7WvXk2ykLy8zB3PPvsMvvoKWraETJnunS9QwJy6fr/IyCQLR0RERCTVc3l8FXtjx46lVq1a7Ny5k8jISAYOHMiBAwcICQlh27ZtSRGjiEjaZ7FArVrmsWWLOa577drY9W7cgFGj4PPPoUcP6NcP/P2TLKyAAHPNt1dfhd27YcMGqFLFvk5UFHTvbo6Kr1ULKlYEN7ckC0lEREQk1Ulwj3eJEiU4evQoL774Ik2bNiU8PJwWLVqwa9cu8ufPnxQxiog8W6pUgZ9/Nsd2N2kSd52wMBg71hyC/s475spoScjZGcqWNUe9Pzgq/u+/ISTEHDU/dix07AiTJ5sLtWmnSREREZEn6PEG8PHxYfDgwYkdi4iI3K9CBXNJ8d27zfndixfHzmRv34aJE+Hrr6FrV3Oz7jx5kjXMiAjw84PLl83H4eGwZo155Mhh9oLXqGHWEREREXkWJTjx3rx58yPPV61a9YmDERGROJQuDQsXmluRffyxuR2Z1WpfJzISpkyBGTPMceGDBtmvjpaEqlSBF1+EffvMoejbtsGdO+a58+dh9mz43//MegMGJEtIIiIiIg4lwYl39erVY5VZLBbb36Ojo58qIBEReYhixcwMdvhwGD3aXH78wb29oqLgu+9g1ixz27LBg83nJTGLBUqWNI833jCT7w0bzF3TwOyov3+BthiGYT5XREREJC1L8Bzva9eu2R3BwcGsWbOG8uXLszauhYBERCRxFSgA33wDx47Bm2/GvZKZ1Qpz50KJEtCqlTlcPZl4eJjDyz/6yAzzlVcge3az7H4hIfD66zBnDly4kGzhiYiIiCS7BCfePj4+dkeWLFmoU6cOY8aMYeDAgUkRo4iIxCUw0Nzv659/zAXWPD1j1zEMc254mTLw0kvwxx/JGqK/P7RtC1OnmuHe79dfzYR73jz4v/+Dd981F3IPD0/WEEVERESSXIIT74fJmjUrR44cSayXExGR+MqZ09xe7NQpM3vNkCHuej/+aO71VbeuuWVZMoprOHlwsH35wYPw5Zfmqujjx8O+fS6xprKLiIiIpEYJTrz37t1rd+zZs4c1a9bwxhtvULp06SQIUURE4sXfHz75xEzAhw4FH5+4661bB1WrQrVq8MsvKbbn1+uvw8yZ5j7hAQH3yiMj4ddfLXz6aQa6dbOwZk2KhCciIiKSaBK8uFrp0qWxWCwYD/xH7fnnn+fbb79NtMBEROQJZc4MI0ZA377mhtqffQZXr8aut3kz1Kljbsz9wQfQsGGyr3SWKRO0bAktWsDx47B+vRlWaKh5Pq6wRURERFKbBCfeJ0+etHvs5OSEn58fHh4eiRaUiIgkAh8feP996NXLnGT96adw6VLser/9Bo0bm/PAP/gAmjUDp0SbiRQvFou5+1nBgtCtG/z+u8GPP97lxAl3qlSxr3v4MCxdai7W9txz4JLgf8lEREREkleC/7uSJ0+epIhDRESSSoYM0K8f9OhhLjM+ZgycPRu73q5dZvdz8eLmNmRt2oCzc7KH6+oKL7wABQqE4+2dnnTp7Hvh162D7dvNw8cHqlc3k/C8eZM9VBEREZF4iVfi/cUXX8T7BXv16vXEwYiISBLy9ISePaF7d3Of79GjzfngDzpwAF5+GYYNM3vMO3Qws+EU8OBgKsOA/fvvPb5xA5YvN4+8ec0EvHr1uKe3X758bwj7o3h7g5/fU4UtIiIiYsdiPDhZOw5549mNYLFY+Oeff546qJQWGhqKj48PN27cwNvbO6XDeSpWq5Xg4GD8/f1xSuahoxI3tYnjeWbb5O5d+OEHc8Pto0cfXi8wEN57z1wFzd09WUJ7VJtERZmd8+vXw++/m4/v5+QEZctC+/bm0HUwk+6XX47fnPHMmc0t0JV823tmf04cmNrE8ahNHI/axPGkpTZJSN4Yrx7vB+d1i4hIGuDqau7d1aEDLFoEH35o350c49QpeOMNGDUKBg40e8zj2jM8mbi4QPny5nHzprkz2vr19747sFrhzz/NBdtihIaaSbe7+6NDv33brBcaqsRbREREEk/q/opBRESenrMztG0Le/bAkiXmimVxOXcOevc2x3R/+imEhSVvnHHw8jIXYx8/Hr76Clq1MldK9/c3p6rfLzzcDNnVFdKnj/tIwe8TREREJA17orVgz549y4oVKzhz5gyRkZF25z777LNECUxERJKZkxM0b26uar56tdnD/dtvsetdumT2fH/yCfTpA2+//fA9w5NRQAB06gSvvmoOLX9wZ7QbN8zR9Zcvm/O4s2SBjBmTfQF3EREReQYlOPFev349L730Evny5ePw4cOUKFGCU6dOYRgGzz2sl0RERFIPi8XsRm7QADZuNBPwTZti1wsJgSFDYNw4M/l+5x1zgnQKc3KCrFnty65fN4eRu7iYC7TduGEeLi7mkPJs2VJs/TgRERF5BiT4e/5BgwbRv39/9u3bh4eHB4sXL+bff/+lWrVqtG7dOiliFBGRlGCxQM2aZvK9ZQvUqxd3vRs3zPnhefKYPeFx7RWewnx9IXduM8G+f324qCi4cMEcZX/6NDwwiEtEREQkUSQ48T506BAdO3YEwMXFhdu3b5MhQwZGjhzJmDFjEj1AERFxAC++CGvWmMuIv/RS3HXCw82533nzmr3f584la4iP4+pq9oSXKgVFi5pDzWOGo1ut5vcFhw/HXiVdRERE5GklOPFOnz69bV539uzZOXHihO3clStXEi8yERFxPBUqmJtm79oFrVvHnkgN5pjuiRMhXz5zNfS49gpPYV5eZnilS0P27Ob6cjHlLk+0+omIiIjIwyU48X7++efZunUrAA0bNqRfv3589NFHdO3aleeffz7RAxQREQdUujQsWGBuP/bKK3GvUBYZCVOnmptpd+0Kx44le5iP4+pqLspWqhTkzBl7brhhwJdfmrdpGCkTo4iIiKR+8U68Q0JCAHPV8ooVKwIwYsQIatWqxfz58wkMDOSbb75JmihFRMQxFSsGs2fDkSNmch1Xd3FUFHz3HRQpYu4ZfuBA8sf5n9u3zRHxDx4REeY88Ac78HfsgLVrYdAgePddc39wJeAiIiKSUPFOvHPkyEG7du04ceIEJUuWBMxh51OmTGHv3r0sXryYPHnyJFmgIiLiwAoUgG++gePHoUcPcHOLXcdqhblzoUQJc8PtXbuSLTxvb3PB9YgIc4Xzhx0REWY9b2/zefcv5n7oEIwcaW5lvmWLeTsiIiIi8RHvmWzTp09n5syZ1K9fn4CAADp37kznzp0JDAxMwvBERCRVyZMHJk+GwYPNbcamTDG7mR+0eLF5NG4MH3wA/42kSip+fmbOHxr6+Lre3mZ9MHu5t2yBhQvhzBmz7ORJGDsWcuQwvz+oUUPzwkVEROTR4t3j/eqrr7J+/XqOHz9Op06dmDVrFgUKFKBOnTrMnz/ftuCaiIgIOXLAZ5+ZC6u9+y5kyBB3vZ9+guefh7p1YfPmJA3Jzw/y53/8EZN0g7noWvXqMGmS+f1AoUL3zp0/D198Ad27J2vnvYiIiKRCCV5cLW/evIwYMYKTJ0+yZs0a/P396dq1K9mzZ6dXr15JEaOIiKRW/v7wySfmJtlDh4KPT9z11q2DatXMY906h5tIbbGYnfLjxplblv834wqAK1fMrclEREREHibBiff9ateuzZw5c/j+++8BmDx5cqIEJSIiaUymTDBihJmAf/SROZE6Lps3Q926WCpXxt1BE/BSpcxbGDfOTMZfeMFcGf1+R46Yc8ZFRERE4CkS79OnTzN8+HDy5s1L27Ztee6555gzZ05ixiYiImmNjw+8/76ZgI8bF3v/rv9Yfv+djB07YilXzpwL7oArmRUubA4/HzDAvjw62ry1bt3MKe7BwSkTn4iIiDiOBCXeERERzJ07l9q1a5M/f36+++47OnbsyPHjx1m3bh3t2rVLqjhFRCQtSZ8e+vUzVyr78kvIlSvOapbdu80VzIKCzNXRoqOTN854eHBhta1b4eJFcxvzlSvh//4PJkyAf/9NkfBERETEAcQ78e7RowfZs2ena9euZM6cmVWrVnHq1ClGjBihlc1FROTJeHpCz55w4gRMmwZ588Zd7+BBcw/wokXNPcHv3k3eOBMgKAiaNwcPD/NxdDSsXw9vvQWjR8OxYykbn4iIiCS/eCfeW7duZdiwYZw7d4758+dTt25dLBZLUsYmIiLPCjc3c3nwo0dh1iyMwoXjrnfsGHTtai4vPnWqufG2g8mUyQzx22+hfft7C7obBmzfDn37muvM7d+fsnGKiIhI8ol34r1371569+5N5octiCMiIvK0XFygY0eMffu4PmUKRokScdc7dQreeMPc/+uLL+DWrWQNMz68vODll80EvGtXMyGPsWsXbNqUYqGJiIhIMnuqVc1FRESShLMzd5o2xdi1C5YuhbJl46537hz07m0OUf/0U7h5M3njjAdPT3Po+fTp5nDzrFnN1dFbtrSvFxXlkGvIiYiISCJQ4i0iIo7LyQmaNYM//4RVq6BSpbjrBQfDwIEQGGhutO2Ae3m5uUH9+uYI+dGjIXt2+/OrV8Obb5rbmEdFpUyMIiIikjSUeIuIiOOzWKBBA9i2zVyprHr1uOuFhMCQIZAnj/nn1avJGmZ8ODtD8eL2ZVFRsGQJnD9vjpzv3h1WrIA7d1ImRhEREUlcSrxFRCT1sFigZk3YuBG2bIF69eKuFxpq9nznyWP2hF+8eO/cnTswe7Y51rt6dfPP2bNTNMsNDYUcOe49vnLFHJrerRssWADh4SkWmoiIiCQCi2EYRkKfdP36df744w+Cg4OxPjAhrWPHjokWXEoJDQ3Fx8eHGzdu4O3tndLhPBWr1UpwcDD+/v44Oel7FkegNnE8ahPHk6A2+fNP+OgjWL784XU8PMwNtUuVgv794do1cxi71Xrvz4wZYdYsaNIkcW8mAY4cgYUL4fff7cs9PaFRI2jaFHx9UyQ0/Zw4ILWJ41GbOB61ieNJS22SkLzRJaEv/uOPP9KhQwfCwsLw9va221LMYrGkicRbRERSkfLlYdky2LPHTMAXLTL37rrfnTvmGO77xXxxHPPn9etmZrtsGbz0UhIHHbfCheGDD+D0afM2fv3VvJXbt83Ha9bAzJng7p4i4YmIiMgTSvBXDP369aNr166EhYVx/fp1rl27ZjtCQkKSIkYREZHHK1XKHJd94AC88orZk50QMcl6584pPrk6Tx7o189ciK1+fXOXNYBq1ZR0i4iIpEYJTrzPnTtHr169SJcuXVLEIyIi8nSKFjXnbB85Yk6SdknA4C7DMIehL1yYdPElQPbs5hZk33xjbknWooX9+du34bPP4PjxlIlPRERE4ifBiXe9evXYuXNnUsQiIiKSeAoUgBkz4MQJyJcvYc/t1g1q1DD3CP/mG3Me+a1bSRNnPGTKBF27gr+/ffmaNeY6c336wNChsH9/7FH2IiIikvISPMe7UaNGDBgwgIMHDxIUFISrq6vd+ZdSaF6ciIhInHLnhoAA+Oef+D/n7l3YtMk8YlgsULCgOaS9ZMl7R5485rlkZhjmHPAYu3aZR9Gi0Lo1lCuXImGJiIhIHBKceHfv3h2AkSNHxjpnsViIjo5++qhEREQSU+bM91Yvf1KGAUePmsf9Q9G9vSEoyEzCY5LyEiXAy+vp434EiwXGjoUNG8yF1y5dMssPHYKRIyFvXjMBr1w54dPdRUREJHElOPF+cPswERERh9esGSxZkjSvHRoK27aZx/3y5bPvGS9VyixLxCzYzc1cfK1OHXNb84UL4cwZ89zJk2Zinj27uZV5gQKJdlkRERFJoAQn3iIiIqlO69bmfO3r1x89CdpiMXuqv/kGDh+GvXvN4+jRhE+e/ucf81i27F5ZunT3esdjjqAgcw/xp+DsDNWrm6ue//GHubj70aPmuWvXIGvWp3p5EREReUpPlHiHh4fz66+/cubMGSIjI+3O9erVK1ECExERSTQeHjBrlrlPt8USdxIdMyH6f/+DJk3sz926ZW5TFpOI791r7ht+7VrC4rh1C37/3Tzulzu3fTJesqQ5nzwhK7L/dwsVK0KFCmaICxaYnewPjnrfu9csz5AhYeGLiIjIk0lw4r1r1y4aNmzIrVu3CA8PJ1OmTFy5coV06dLh7++vxFtERBxTkyZm73PnzmbCHDPnO+ZPX18zOX8w6Qazp7p8efOIYRhw/vy9JDwmIT98GBK63smZM+bx00/3yjw8oHjx2Al5liyPfTmLxRzZXqpU7FDCw+HDD82/N2pkfhfh65uwcEVERCRhEpx49+nThyZNmjBlyhR8fHz47bffcHV15ZVXXqF3795JEaOIiEjieOklM1letAiWLoWQEHOvrubNoVUrM9mNL4sFcuY0jwYN7pVHRJgrnN2fkO/ZA5cvJyzWO3fgr7/M437Zs9sv5FayJBQubE74joOzs/3jlSvN/b/BfBtWrIDataFly9jblYmIiEjiSHDivXv3bqZOnYqTkxPOzs5ERESQL18+xo4dS6dOnWjRokVSxCkiIpI4PDzglVfMIym4u0Pp0uZxv0uXYg9VP3jQ3LosIS5cMI+ff75X5upq7iP2YEKeNWusPcWqVjW/A/jlF4iKgshIWLXK3BO8enXz+4eAgCe5cREREXmYBC+t6urqitN/K7L6+/tz5r/lU318fPj3338T9FqbN2+mSZMm5MiRA4vFwrL7F6B5iE2bNvHcc8/h7u5OgQIFmDlzZqw6kydPJjAwEA8PDypWrMgff/yRoLhEREQSXdas5vLj/fqZQ9p37zbHfe/bB3PmwLvvmj3nOXIk/LXv3jWT+f/9DwYMgHr1zJ7xrFnN7uy+fWHmTNi1i2y+d3jrLXP9uObN73XyW63m1mRvvQWjR8OJE4l58yIiIs+2BPd4lylThj///JOCBQtSrVo1hg4dypUrV5g9ezYlSpRI0GuFh4dTqlQpunbtGq+e8pMnT9KoUSPeeOMN5syZw/r163nttdfInj079erVA2D+/Pn07duXKVOmULFiRSZMmEC9evU4cuQI/hpDJyIijsTV1dzzu0QJePnle+VXrpgJ+f095Pv3m8PPE+LyZVi/3jxiODtD4cJkKlmSriVL0rpNGX66VJ4V2zIRFmbBMGD7dsif3zxERETk6VkMI2H7o+zcuZObN29So0YNgoOD6dixI9u3b6dgwYJ8++23lCpV6skCsVhYunQpzZo1e2idd999l5UrV7J//35bWbt27bh+/Tpr1qwBoGLFipQvX55JkyYB5r7jAQEBvP3227z33nvxiiU0NBQfHx9u3LiBt7f3E92Po7BarQQHB+Pv728bqSApS23ieNQmjkdtEofoaDh2zD4Z37sXTp9OlJe/7ZudNTm7siy6CXcy+PHtuBDSlysK6dMDcOeOlWvXgsmaVW3iKPRz4njUJo5HbeJ40lKbJCRvTHCPd7ly5Wx/9/f3tyW8yWHHjh3Url3brqxevXq88847AERGRvLXX38xaNAg23knJydq167Njh07ki1OERGRROfsDEWKmEebNvfKr1+P3Tu+b585jD0BPK9foPn1j2jEWE4RSPrqx8z54QULQsmSfB/ZkZ3hBXi5WzRV2+TAydny+BcVERER4An38Y6KimLTpk2cOHGCl19+GS8vL86fP4+3tzcZknBT0IsXL5I1a1a7sqxZsxIaGsrt27e5du0a0dHRcdY5fPjwQ183IiKCiIgI2+PQ0FDA/DbGarUm4h0kP6vVimEYqf4+0hK1ieNRmzgetUkCeHtD5crmEcNqhZMnYe9eLPcl45Z4TNx24y6FOGY+MAw4epTQoxdYS1siOM749TCn01paFdxLjcqRuJT+b8uzEiXMWCTZ6OfE8ahNHI/axPGkpTZJyD0kOPE+ffo09evX58yZM0RERFCnTh28vLwYM2YMERERTJkyJaEvmeJGjx7NiBEjYpVfvnyZOwmdT+dgrFYrN27cwDCMVD+UI61QmzgetYnjUZskAi+vWAm5JTwcl8OHcTl4EJdDh3A9cACXQ4dwunnzkS91Ax/ycJqjFALg4t0sTDpYkx8OXqU5S6lHXzyIICp3bqKKFiWqeHHuFi1KVLFiROfJE3tPM0kU+jlxPGoTx6M2cTxpqU1uPubfz/slOPHu3bs35cqVY8+ePWTOnNlW3rx5c7p3757Ql0uQbNmycenSJbuyS5cu4e3tjaenJ87Ozjg7O8dZJ1u2bA993UGDBtG3b1/b49DQUAICAvDz80sTc7wtFgt+fn6p/oOdVqhNHI/axPGoTZJQ3rz2+44bBtYzZ+71isf0kB87huW/b/IDOMs4+rOPIBbQhj2Y67lcJTMzeI35tKUpy2l85ifSn/nZbqszI106szc8KAgjZpuzoCDImDFZbzst0s+J41GbOB61ieNJS23iEbM1SDwkOPHesmUL27dvx83Nza48MDCQc+fOJfTlEqRSpUqsWrXKrmzdunVUqlQJADc3N8qWLcv69etti7RZrVbWr19Pz549H/q67u7uuLu7xyp3cnJK9R8GMBeuSyv3klaoTRyP2sTxqE2SUd685tG06b2yW7fMfcbvmzteYvduSl4bwhEKsZDW/E5FAG7ixf94hY3U4Gve5P7Z35Zbt+CPP+CPP+zKCQi4t994zFGoELg80Sy4Z5Z+ThyP2sTxqE0cT1ppk4TEn+B/3axWK9HR0bHKz549i5eXV4JeKywsjOPHj9senzx5kt27d5MpUyZy587NoEGDOHfuHN9//z0Ab7zxBpMmTWLgwIF07dqVDRs2sGDBAlauXGl7jb59+9KpUyfKlStHhQoVmDBhAuHh4XTp0iWhtyoiIvLsSpcOypUzD8CwWgm+dAn/qCgK79/PB3v3cnrHLyz6PRe/XiqCYUA9fibeS679+6953PdvOO7uULx47ITczy/Rb09ERCQ5JTjxrlu3LhMmTGDatGmA+W1FWFgYw4YNo2HDhgl6rZ07d1KjRg3b45jh3p06dWLmzJlcuHCBM2fO2M7nzZuXlStX0qdPHyZOnEiuXLmYMWOGbQ9vgLZt23L58mWGDh3KxYsXKV26NGvWrIm14JqIiIgkkMUCOXOavdUNGpAH6Ae8fCqCH78Jpn6eVnA4v62HPPiSlbm8TEsWE8DZx79+RAT8/bd53C9bNihVyj4ZL1IEHhh9JyIi4qgSvI/32bNnqVevHoZhcOzYMcqVK8exY8fIkiULmzdvxt/fP6liTTbax1uSktrE8ahNHI/axPE8SZt8PSaUVcsisISGUsn9b1rfmU2BEz9DZOTTB+TiAkWLmkn4/Ul5tmzmFwTPAP2cOB61ieNRmzietNQmSbqPd65cudizZw/z5s1j7969hIWF0a1bNzp06ICnp+cTBy0iIiJpx9278NtBb8gCRhY/tpOf7bSmTPNo2pQ/SfFbf2LZ99/88T17IKHrxERFmfuV79sHc+bcK8+S5V4SHpOQFysGCVgAR0REJLE90QomLi4uvPLKK4kdi4iIiKQRrq4wZQqsWQNLl8K1a2b5rr3O7NpbgKJFC9C6dXvKffxfB/XVq2YSfd9ibuzfD7dvJ+zCV67Ahg3mEcPZ2Vy47f6h6qVKQa5cz0zvuIiIpKx4J96bN2+OV72qVas+cTAiIiKSdnh6QvPm0KiRmQcvWgQxO34eOgQjR0JgIHzwAWTNmhmqVzePGNHRcPy4fTK+dy+cOpWwQKKjzQseOgTz598r9/WNvZBbiRKQPv2T3/SdO7BwISxbZn6ZkDkzNGsGrVur111E5BkW78S7evXqWP77Vvhh08ItFkucK56LiIjIs8vNDerXhzp1YMsWMy+NWTs1PNzMTePk7AyFC5tH69b3ym/ciN07vm8fhIUlLLDr12HzZvOIYbFAgQKxE/LAQHjcXMQVK6BzZ7N738kJrFbzzyVLoHdvmDULmjRJWIwiIpImxDvxzpgxI15eXnTu3JlXX32VLFmyJGVcIiIiksY4O5sd2tWqmVt7L1gANWvG3rr7zz8hKOgRHcQ+PvDii+YRw2o1e8L37LFPyE+cgISsI2sYcOyYeSxefK/cy8sM6v5kPCgIYhbTWbHC7Nm+P577/7x+3dwnfdkyeOml+McjIiJpQrwT7wsXLrB06VK+/fZbxo4dS8OGDenWrRv169e39YSLiIiIPI7FAhUrQoUKsXPic+dg1CjIkMHMUxs1Mv/+WE5OkC+feTRvfq88LAwOHLi3iFtMQn7jRsKCvnkTtm83j/sFBpp7j69f/+gE3zDMG+/cGc6f17BzEZFnTLwTbzc3N9q2bUvbtm05c+YMM2fOpGfPnkRERNCpUydGjBiBy4NfWYuIiIg8hMUSe22zxYvNHPXmTfjf/8zHjRqZSbiv7xNcJEMGM8uvWPFemWHAv//eS8JjEvKjR+/1UMfXqVPxn3NuGOYw9EWLQIvUiog8U55o47TcuXMzdOhQfvnlFwoVKsQnn3xCaGhoYscmIiIiz5imTc3h6DEJ+e3bZp7arRt8/TUEByfCRSwWyJ0bGjeG9983F1w7dMjsHd+5E779Ft55xxwH/9AJ6E/Iyclc5l1ERJ4pCe6ijoiIYPHixXz77bfs2LGDRo0asXLlSjJlypQU8YmIiMgzJE8e6NcPOnQw1yRbt87csjsyElatMrcnq14d2rSBnDkT+eKenlC2rHnEMAy4cCH2yuqHDpmBJZTVaq52LiIiz5R4J95//PEH3333HfPmzSMwMJAuXbqwYMECJdwiIiKS6LJlgx49oF07cz2y1avNnbqsVnNrsrJlkyDxjovFAjlymEf9+vfKIyPN5HvvXnNS+rFj8X/NXbvMcfRt25obnouISJoX78T7+eefJ3fu3PTq1Yuy/30TvHXr1lj1XtJKnSIiIpJIMmWCrl3N3cR++slcPNzLCypXtq935w64u8eeM55k3NygVCnzAOjYMf7PDQ2FV1+FwYOhf3/zBp9m73AREXF4CRpqfubMGUaNGvXQ89rHW0RERJKClxe0b2/u2HXpkrk12f3Gjzd37GrTBsqVS8YEHMxvBXr3NgNIyNZlZ85Ar14wYgS8/Tb07Jn4c8pFRMQhxHtxNavV+thDSbeIiIgkJU9Pcwev+505A7/9BocPw8iRZi67eXPCFyh/Yh4eMGuW+fcnyfivXoXhw80F3955x7whERFJU55oVXMRERERRxEebuasMU6dgk8/hTfegJ9/hrt3kyGIJk3Myegxe545Odn/mTGjeX7ZMqhUKe7XuHULJk6E/PnNoev79ydtzCIikmyUeIuIiEiqVrQoTJoEH3wAhQrdK79wwSx/7TVYvtycB56kXnoJzp+H2bPNMfHVq5t/zp5tljdtah7btpld8g0bxv06UVHmc4KCzC3P4lhTR0REUpcEbycmIiIi4mgsFqhYESpUgH37YMEC2LPHPBcSAjNmmFt0P2KpmsTh4QGvvGIejwq2ShXz2LcPxo6FH36AuKbsrVxpHi+8AO++aybiTuo3ERFJbfSbW0RERNIMiwVKloQPP4Rx48xkPEaDBikX10MFBZm928ePmwuseXrGXW/7drO3PCjInE8eGZm8cYqIyFNR4i3/396dx9lYvnEc/5zZZzCDWWzZ/bKULWoSosiUUihKiiRlq+xZylKJiBSFVLaUylZKorFnK0R2WbOOdcY263l+f9w5HDPKMHPOmZnv+/U6L8793POc65mLcs29iYiIZEtly5rp52PGQJMmqZdWb9sG48ZBTIx74nNSogR8+KHZWG3AAHOOWlq2boXnnjPrwEeNwnb+vCujFBGRG6TCW0RERLK14sXNUdlXbzj+9ddmFveLL8KoUfD3324Jz1lYmNnh/MABE1TRomn3O3gQr+7dCa9eHduAAXD8uCujFBGRdLquwjtfvnzkz5//ul4iIiIinu7MGdiyxfw+JQWio6FTJxgyBHbtcmtoRq5c5mzw3bthyhS47bY0u3mdOYPt7bfNTxc6d4a9e10cqIiIXI/r2lxt1KhRmRyGiIiIiOvkzQuffw5z55rXuXNgWWYp9cqVULUqNG9u6t0bOZo7w/j6wrPPQsuWMG8evPtu2rucX7wIH31k5s4/+ST06gWVK7s+XhERSZPNsizL3UF4mri4OEJCQoiNjSU4ONjd4dwUu91OTEwMEREReGkXVI+gnHge5cTzKCeeJzvn5OJFmD/fHLF96pTztXLlzMzvXLncEdk1rFxpCvDvv//3fg8+aHZCr1PHzT89yDmy89+TrEo58TzZKSfpqRtv6knj4+OJi4tzeomIiIhkJYGBZvO1CRPMdPMCBS5fs9kgKMh9saXpnnvgu++w//knF5s3x/K5xgTG+fPhvvvg7rth9myw210bp4iIOKS78D5//jydO3cmIiKCXLlykS9fPqeXiIiISFbk52cGicePh+7doVgxaNbMebDYsuDXXyEpyX1xOlSoQOwHH2D99Rd07XrtYfm1a6FpU6hQAT77DBISXBuniIikv/Du1asXixYtYuzYsfj7+/Ppp58yaNAgChcuzJQpUzIjRhERERGX8faGunXNMWTVqztf27QJhg6Fdu3gu+8gPt60Hz9u9kH7r1embD5etCiMHGl2Qn/zTbMzelp27IAXXoBSpcwh55qpKCLiMte1udqV5s6dy5QpU6hbty5t2rShdu3alClThuLFizNt2jRatmyZGXGKiIiIuFRay6K/+cb8evIkfPqpOZLsvvvgq6/MTun/JTQUvvwSwsMzNFQjf3544w0zXD9xoimu9+1L3e/wYejZE95+Gzp2NLunXzm/XkREMly6R7xPnTpFqVKlAAgODubUP7uQ1KpVi2XLlmVsdCIiIiIepFUriIy8/P7sWVN0b9hgBpBz5zY7pqf18vc3BXumDzQHBZnF6rt2wbRpUKlS2v1iY835acWLQ4cOZkheREQyRboL71KlSrH3nzMiy5Urxzf//Oh37ty55M2bN0ODExEREfEkZcvC66+baeh1614eFbfb4fRpU+seP25OAcuVy/kVGOjiYH184Omn4Y8/4KefTMBpSUgwx5Ddeqs5imz9eldGKSKSI6S78G7Tpg0bN24EoHfv3nz00UcEBATQtWtXevbsmeEBioiIiHia4sXNjO5PPnE+rctuh5gYSEx0b3xObDaza9zixbB6tdnCPa159Ha7mUtfrRo0aADR0WY3ORERuWnpXuPdtWtXx+/r16/P9u3bWbduHWXKlKHStaYyiYiIiGRDBQvCM8/AzJlmp/PYWDO6nTu3c7+4OEhOdk+MTiIjYdYss9Ha8OEwZUraW7QvXGhe1aqZs8CbNjW7zomIyA256RPLixcvTtOmTVV0i4iISI7l4wOFCkHlylCiROrr+/bB9u1w6BAsXQrnzrk6wquULWt2h9u7F3r0SP2TgkvWrYPmzaFcOTO8f2kbdxERSZd0j3gDREdHEx0dTUxMDHa73ena559/niGBiYiIiGQ1Pj7mdaVz5y7Xq/Hx8MUX8MMPZvD5/vvhjjvcOJhcpIgZ+e7XD8aOhVGjzFz5q/31F7z0EgwYYHZB79ABQkJcHq6ISFaV7hHvQYMG0aBBA6Kjozlx4gSnT592eomIiIjIZQEBUKyY8+ZqSUmwYoU5drtNG/j887RP/nKZvHmhTx8TxNix5qzvtBw9avoVK2amoB854sooRUSyrHSPeI8bN45Jkybx7LPPZkY8IiIiItmKj49ZC54nDxw7BvXqwdatl48VO30aZs82G49/8YU5dsxtAgOhfXto184sXB861JyVdrW4OBg2zIyQt2plzgW/9VaXhysiklWke8Q7MTGRe+65JzNiEREREcmyLl6E8+ev/bp40RTVTz0FkyebY8lq1Lg8Nb1mzdRF965dbtqUzdvbrO1etw4WLDA/LUhLYqJZK16uHDzxBPz2m2vjFBHJItJdeL/wwgt8+eWXmRGLiIiISJYTHAyhoeY47DNnrv1KSDD9goNNsR0ZCX37miL8pZfg4Yed73vhAvTubQaUP/nELLN2+eleNhs88AD88ospqps1S/soMssyI+R33WUWri9YoKPIRESukO6p5vHx8XzyySf88ssvVKpUCV9fX6frI0eOzLDgRERERDxdeDh8+eXlqeP/JjjY9L+67ZFHUvf99VczoJyYCHPnmlexYmbwuW5dsyzbpapXN+d879oF770HkyalfWD54sXmVbUq9OplRsKv3nFORCSHSfd/BTdt2kSVKlUA2Lx5s9M1W1o/ARURERHJ5sLDUxfUN6tYMbj3Xli16vJR2wcOwMSJpuatWtVG1aq+PPig2cDNZf73Pxg/HgYNgg8+gI8/TvunDhs2QIsWZsf07t3NLnJX7jAnIpKD2CxL84CuFhcXR0hICLGxsQQHB7s7nJtit9uJiYkhIiICL6+bPrZdMoBy4nmUE8+jnHge5cR9zp+H5cth0SLYtu1yu2VZJCYmULGiPyNGuHHwIzbWFOLvv292Pb+W8HBzFFnHjpAvn+vicyH9PfE8yonnyU45SU/deFNPevDgQQ4ePHgztxARERGRf5ErFzz4oNlEfPx4ePJJ59H1yMjUYyguPeE1JMRMKd+3DyZMMCPiaTl+3OwoV6yYGQHXvyFFJAdJd+Ftt9t58803CQkJoXjx4hQvXpy8efPy1ltvYbfbMyNGEREREQEKF4ZnnoHPPoO337aoWTORunWd+/z9N7RubWrcxYshPt5Fwfn7wwsvmGH5GTPgzjvT7nfuHIwcac4Kf/5552F8EZFsKt1rvPv168dnn33G0KFDqVmzJgArVqxg4MCBxMfHM3jw4AwPUkREREQus9mgUiUoWPACYWG5na5FR5sNxTduNK+AAKhVy2zKdtttaW9KnqG8veHxx6FpU1P5v/uu2eX8aklJZsH6xInQuDG89hrcfXcmByci4h7pHvGePHkyn376KR06dKBSpUpUqlSJjh07MmHCBCZNmpQJIYqIiIjI9QoPh0KFLr+PjzengfXpYwakp02DI0dcEIjNZo4W+/lnWL/eHGB+rfWcc+aYQ83r1IF583QUmYhkO+kuvE+dOkW5cuVStZcrV45Tp05lSFAiIiIicmMeftisBR82DKKiICjo8rWYGJg+HV58EaZMcWFQVavCV1+Zo8g6drz2NuzLlpkHqFzZ/IQgOdmFQYqIZJ50F96VK1dmzJgxqdrHjBlD5cqVMyQoEREREblxNhuULw+dO8PUqdCzJ9xxh/M086v3QLPbzStTlSoFH30E+/ebY8audRj5n3+axexlysDo0XDhQiYHJiKSudK9xnvYsGE8/PDD/PLLL9SoUQOAVatW8ffffzNv3rwMD1BEREREbpyfnzkP/N574eRJs+x67drUe5+tXQvjxsF995n14LfckolBRUTA22+bdd2ffGKOIjt0KHW//fvhlVfMmeGvvAKdOkFoaCYGJiKSOdI94l2nTh127txJkyZNOHPmDGfOnKFp06bs2LGD2rVrZ0aMIiIiIpIBQkPhiSfMNHSfq4ZffvnFFOYzZkCHDubEr3nz4OzZTAwoTx7zQXv2wOefQxrLGQET2IAB5iiyLl3gwIFMDEpEJOOle8QboHDhwtq9XERERCSbsCyzGbm3N6SkmLadO81rwgSIjDSj4FWrpi7YM4SfH7RpY85B+/57sxP66tWp+124AB98YKart2hhzg+//fZMCEhEJGNd94h3vXr1mDVr1jWvnzhxglKlSmVIUCIiIiLiOjab2fV88mSz8/mV/6RLToZff4U334TnnoPffsvEQLy8zNFiK1fC0qXQsGHa/ZKTzeL1ihWhUSNYsSITgxIRuXnXXXgvXryY5s2bM2DAgDSvp6SksH///gwLTERERERcKyQEHnvMDCp/+KH5fUjI5euxsVCggAsCsdnMovQffzSHkbdsaYbj0/LDD1C7tjmsfO5cF+wQJyKSfula4z127FhGjRpFkyZNOH/+fGbFJCIiIiJuVrKkGf2eNAn694eaNc1O6cWKOfebPRveessMUiclZUIglSrBF1/AX3/Byy9DYGDa/X79FR591IyCT56cScGIiNyYdBXejz32GKtXr2bLli3cfffd7NmzJ7PiEhEREREP4ONjdkDv3dssvb6SZcGCBWZH9CFDzBLtcePMcd2WlcGBlChhhuH37zc/CcifP+1+W7eaOfGlS8OoUXDuXAYHIiKSfune1bx8+fL89ttvFC1alDvvvJNffvklM+ISEREREQ9z5TngAKdPOx+xffasmR3erZs5+WvmTDh1KoODCA83x4vt328K66JF0+7399/QtasZou/fH44fz+BARESuX7oLb4CQkBB+/PFH2rVrR8OGDXn//fczOi4RERER8XD588PEiWbjtTp1zObkl/z9t5mm/txz5iSwo0cz+MNz54ZXX4Xdu83U8ttuS7vf6dNmLnzx4maq+r59GRyIiMh/u+7C23bVjzhtNhtDhw5lypQpvPHGG7zwwgsZHpyIiIiIeDYvL3PMWI8eMGWKqW0rVLh83bJg82YIDs6kAHx9oVUr2LTJbK5Wq1ba/S5ehDFjoEwZs1nbpk2ZFJCISGrXXXhb11io89RTT7FixQr+/PPPDAtKRERERLKeXLmgQQOzFvyTT+CppyAiAu65B4KCnPtOmwbTp0NMTAZ9uJcXPPIILF9ujhdr1Cjtfikp8OWXULmyOa5s6dJMWJAuIuLM53o7Ll68mPzX2MSiSpUqrFu3jh9//DHDAhMRERGRrKtQITOw/PTTzuvAAeLjYc4c8+u0aWYj8nr1zM7pAQEZ8OE1a8L338OWLTB8uPmQ5OTU/X76ybwiI+G118z5aV43tBJTRORfXfd/WerUqYOPz7Xr9NDQUFq1apUhQYmIiIhI9mCzmZHwK23dCgkJl9//+afZJ+3ZZ+H9980s8AwZhL7tNrPQfPdu6NIldSCXrFkDTZua/p9/7hyciEgG0I/0RERERMSl7rgDPvvMFNqFC19uj4+HRYugXz9o2xamToXExAz4wGLFTEV/4IDZCS4sLO1+27ebDy5VCt57z2zTLiKSAVR4i4iIiIjLhYdD8+bm3O9hw+DBB50HpI8fN8u1fX0z8EPz54c33jBHkY0ebc4GT8vhw9CzpynY+/WDY8cyMAgRyYlUeIuIiIiI29hsUL68Ofd7yhTo1QuqVTPt99+f+uzwadNg3Tqw22/iQ4OCoHNn2LXL3LBSpbT7nTkD77xjjiLr2BH27LmJDxWRnOy6N1cTEREREclMfn5Qu7Z5nToFV28vdOiQ2QkdzOD1ffeZTdmKFr3BD/TxMbu/tWgB8+eb7diXLk3dLyEBxo6F8eOhWTOzEVvVqjf4oSKSE2nEW0REREQ8Tv78qc/+Xrbs8u9PnYKZM81AdLdu8MMPN7Ek22aDhx6CJUtg9Wpo0iT1UDuYYfavvzaL1Bs0gOhoHUUmItdFhbeIiIiIZAnNmkHfvub0L2/vy+27dpnB6FatYMgQ+O23m/iQyEiYNctsvf7889deZL5wIdSvD3fdBTNmmPPBRUSuQYW3iIiIiGQJPj5Qowa8/jpMngzt2pkNyC9JToaVK2HevAz4sHLlzNbre/dC9+6QO3fa/X7/3fxEoHx5mDDBbM0uInIVFd4iIiIikuWEhMCjj8IHH5gNyps0gbx5zbV69Zz7pqTA3Llmr7R0K1LEHC124AAMHgwREWn327ULr/btCY+MNNu0x8bewIeJSHalwltEREREsrQSJcys8EmToH9/M/v7SuvXwyefQOvW5hjvX3+FpKR0fki+fGae+759ZqO1K4far+AdE4NXnz7mKLLeveHIkRt4IhHJblR4i4iIiEi24O0Nd95pdke/UnS0+dVuN+u/hw4168HHjoUdO9K5P1pgILRvb75w+vRr724eF2d2SS9RAl580SxEF5EcS4W3iIiIiGRrzz4LzZtDWNjltnPnzFrwHj3MzugzZsCJE+m4qY8PPPmkOVR8wYLU89svSUw0a7/LljVrwX///aaeRUSyJhXeIiIiIpKtFSliiu/PPoO33jLnf185Kn7woNmsbc6cG7i5zQYPPAC//IJ9zRriH3kEK62jyCzLVPd33mmK9AULdBSZSA6iwltEREREcgQvL6hSxZz7PXUqvPIK3H775ev33+/cPzbWnCp23fVx9eqcmTABa+tWs+X61XPeL1m0CKKioFo1cy54cvKNPI6IZCEqvEVEREQkxwkKMgPVQ4aYmeAvvZR6v7RFi+C118y16dMhJuY6b37rrWY3t337zA2Cg9Put2EDPPWUmYY+dixcvHgzjyQiHkyFt4iIiIjkaAULwiOPOLdZlim8wWxMPm0atG0LffqYzdquq0YuVMjs5HbggPm1YMG0++3ZYxaalygB77wDp0/fzOOIiAdS4S0iIiIikobHHzdT069csr15M4waZdaMjxwJGzdex1T0kBAz8r13rxkJ/9//0u4XEwP9+pmjyHr0gEOHnK/Hx5s58o8/DnXrml+nTjXtIuLRVHiLiIiIiFzFZjO17Vtvweefm+PHihS5fD0hARYvhtdfv3xc2X8KCDBrv7dtMxutVa+edr9z52DECChZ0gyzb98O338PhQubQObMgaVLza+tWpn2uXNv7oFFJFOp8BYRERER+RdhYeYksLFj4b33oGFDyJXLXPP1hRo1nPufOmVq52vy9jaj1WvXmqq9QYO0+yUlmaq/fHl47DE4c8a02+3Ov545Y65///0NPqGIZDYfdwcgIiIiIpIV2GxmH7SyZc1A9Nq1Znb4pSL8kunTzfrwyEhzcljVqqbWTvOG999vXhs2wLvvwrffXi6or3atOe2WZe713HNw+LAZWRcRj6IRbxERERGRdPLzg1q1oGlT5/bERFi2zEZSEqxYAYMGQZs2ZuB6//5/uWHVqqZi37kTOnRIf/FsWWZTthkz0v0sIpL5VHiLiIiIiGSQxEQb9epZTieInT4Ns2dD587QpYtZjh0Xd40blC4NH39sjiLr29fMZb9eXl7mg0TE46jwFhERERHJILlzW7RrB5Mnm43XatQAnysWd+7ebTY2b93a1NbXVKAADB5s5qtfL7vdLDAXEY+jNd4iIiIiIhnMx8fUzJGRZnR72TKz7nvXLnM9f34oXtz5a86fh6Ag5+PLiIjguC2COCv3f35msO0c4fnzZ9xDiEiGUeEtIiIiIpKJgoPhkUfM68ABs5F5/vxXFdjA22/D2bNmQ7Y6dUyf4/c/ydOzXuIkYf/5OaHWCb6sF0t4Jj2HiNw4Fd4iIiIiIi5SrJjZbO1qx47B5s3m959/DhMnwh13QPnSj3HCawcB9nMEcvGa971IICcJI87PV4W3iAfSGm8RERERETc7e9Yc132JZcG6dTB+oj/7AstxklAsvMjFhTRfjqK8Y0f47jv3PISIXJMKbxERERERNytTBoYNg3HjoHlzCLtiZrnd24+TuUuw1XYbf1IRu+Of8LbUN0pKhMcfhy+/dEncInJ9NNVcRERERMRDFCkCzz4LzzwDf/5pjvZevx7w84egcPxsZ/GyFTAFtq+f2f08JgaOnLl8k5QUc4Nz5+DFF931KCJyBRXeIiIiIiIexmaDSpUgVy6YN8+8P3fORlh4MIRWd+58yy2wfjscuWINuGXBSy+ZOezdu7s2eBFJRYW3iIiIiIgH8/KCvHlNfX21CxfgzBkbIWXLQfIhOH5Vhx49TPE9YEDqbdRFxGW0xltEREREJAtKSoKdO+HgQdh/wIa9cBHo/HLqjoMGmQLcslwfpIgAKrxFRERERLKkuDhTfAOcOQOHD9s41aoLDB+euvPIkWbqeUqKK0MUkX+o8BYRERER8XAXL8L5886vgAAz/dyywG6HhAQYPBi2P9LDbI9+9dTyCRPMzm2XqnURcRkV3iIiIiIiHio4GEJDTVF95kzql90OERHg7Q1+fmbNd58+sPjWl2DKFHPhSl99BU88AfHxLn8WkZxMm6uJiIiIiHio8HBzJHdc3L/3O3sWJk6EPXsgOdnMLD/wxDM8+3UuvJ5+ChITL3f+/nt45BGYMwdy587U+EXEUOEtIiIiIuLBwsPN67+MGAHjx8P8+eb9jBlwqEYT+nw/F1uTxma++iXR0RAVBT/+aLZMF5FMpanmIiIiIiLZgI8PdOwI7dubI8gAqlQBW1QDWLDAzFu/0sqVcP/9cPzqM8hEJKOp8BYRERERySZsNnj4YXOC2BNPQMOG/1yoVQsWLTILxq+0YQPUqQOHDrk8VpGcRIW3iIiIiEg2U6UKtG59VWO1auydthIKFnRu37YNateGvXtdFZ5IjqPCW0REREQkB1i1Cl4ZcysTOm8kpVhJ54t795pR8W3b3BOcSDanwltEREREJJs7dcrsdA7w/eoIBjXZwPkylZ07HT4M995rpp+LSIZS4S0iIiIiks3lzw8vvHD5WO8Nu0Pofs9KDpWv79zxxAm47z4zPC4iGcYjCu+PPvqIEiVKEBAQQGRkJGvXrr1m36SkJN58801Kly5NQEAAlStXZv6lMxP+MXDgQGw2m9OrXLlymf0YIiIiIiIeKyoK3n4b8uQx7w+dCqJ7uR/44/ZnnDvGxsIDD5gjx0QkQ7i98P7666/p1q0bAwYMYP369VSuXJmoqChiYmLS7P/6668zfvx4Ro8ezdatW2nfvj1NmjRhw1VTYm677TaOHDnieK1YscIVjyMiIiIi4rFuvx3efx+KFTPvzyf5M6DY5/xYsbdzx/Pnzfboc+e6PkiRbMjthffIkSNp164dbdq0oUKFCowbN46goCA+//zzNPtPnTqVvn370rBhQ0qVKkWHDh1o2LAhI0aMcOrn4+NDwYIFHa+wsDBXPI6IiIiIiEcrUACGD4c77zTv7V6+jLvlbcbeNoZkvC93TEiApk1h+nT3BCqSjfi488MTExNZt24dffr0cbR5eXlRv359Vl1jXUlCQgIBAQFObYGBgalGtHft2kXhwoUJCAigRo0aDBkyhGKXfrSXxj0TEhIc7+Pi4gCw2+3Y7fYbejZPYbfbsSwryz9HdqKceB7lxPMoJ55HOfE8yonnyUo5CQiAvn1h6lSYOdMGXl4srdCepiXXU+CHKwbAkpOxnn4aKy7OLBLPYrJSTnKK7JST9DyDWwvvEydOkJKSQoECBZzaCxQowPbt29P8mqioKEaOHMm9995L6dKliY6OZtasWaSkpDj6REZGMmnSJMqWLcuRI0cYNGgQtWvXZvPmzeS5tKjlCkOGDGHQoEGp2o8fP058fPxNPqV72e12YmNjsSwLLy+3T3AQlBNPpJx4HuXE8ygnnkc58TxZMScPPQTBwX5MmhREu5fOYZV7kws9LhB0xSi3zbKwvfQScUePcuHFF90YbfplxZxkd9kpJ2fPnr3uvm4tvG/EBx98QLt27ShXrhw2m43SpUvTpk0bp6npDz30kOP3lSpVIjIykuLFi/PNN9/Qtm3bVPfs06cP3bp1c7yPi4ujaNGihIeHExwcnLkPlMnsdjs2m43w8PAs/wc7u1BOPI9y4nmUE8+jnHge5cTzZNWcNGkC9epBcHB+0zB1KlZYGIwZg+2KfsEDBpAboF8/sNnSuJPnyao5yc6yU06unon9b9xaeIeFheHt7c2xY8ec2o8dO0bBggXT/Jrw8HDmzJlDfHw8J0+epHDhwvTu3ZtSpUpd83Py5s3Lrbfeyl9//ZXmdX9/f/z9/VO1e3l5Zfk/DAA2my3bPEt2oZx4HuXE8ygnnkc58TzKiefJqjnJm/eKN15eWB98yPvbHqJk9AQaM8dRgHsNGADnzsG772aZ4jur5iQ7yy45SU/8bn1SPz8/qlWrRvQVRxXY7Xaio6OpUaPGv35tQEAARYoUITk5mZkzZ/LYY49ds++5c+fYvXs3hQoVyrDYRURERESyqxkzbSwObMjn5YbzAa+SdOV43fDh0LEjZIM1uiKu4vYfMXTr1o0JEyYwefJktm3bRocOHTh//jxt2rQBoFWrVk6br61Zs4ZZs2axZ88eli9fzoMPPojdbqdXr16OPj169GDp0qXs27ePlStX0qRJE7y9vWnRooXLn09EREREJKtJTv7nN2XKEH37q/RjMLFcsQRz3Dho3fqKjiLyb9y+xvvJJ5/k+PHj9O/fn6NHj1KlShXmz5/v2HDtwIEDTkP48fHxvP766+zZs4fcuXPTsGFDpk6dSt4r5sccPHiQFi1acPLkScLDw6lVqxarV68mPDzc1Y8nIiIiIpLltGgBRYuaM78TS5Rkm3cLum4M5w3epCT7TKcvvjDnfX/1FaSxbFNELrNZlmW5OwhPExcXR0hICLGxsdlic7WYmBgiIiKy/BqK7EI58TzKiedRTjyPcuJ5lBPPkx1z8tdf8PbbcPIkcOQwAetX0d0azt2sudypQQOYPRuCgtwW57Vkx5xkddkpJ+mpG7P2k4qIiIiISKYpUwZGjoRbbwUKFSb+ztoM9nqDb2iGY/RuwQKIioLYWDdGKuLZVHiLiIiIiMg15c8PQ4ZA3bpARARE3s1U7zbMpsnlTitWmDPJTp50V5giHk2Ft4iIiIiI/Cs/P+jWDVq1AkJDKfJoNaLyrnXutG4d1KkDR464JUYRT+b2zdVERERERMTz2WzQrBkUKwa33BJBrlM/wQMPwLFjlztt2QK1a0N0NBQv7r5gRTyMRrxFREREROS6RUZCkSJAxYqwbBkULcop8rGSGqbD7t1Qqxbs3OnWOEU8iQpvERERERG5MbfeSmL0ct7JO4wh9GEaT5tN1w4eNCPfmza5O0IRj6DCW0REREREbtjSfcXZceczkCcP03mKofQmHn+IiTFrvtes+e+biGRzKrxFREREROSG1a8PL3QKwFbzHgjJy0ru4TXe5ThhcOaM6bBkibvDFHErFd4iIiIiInLDbDZ47DEY8LYfQfffDflD2UMpuvI+2ygH587BQw/BvHnuDlXEbVR4i4iIiIjITatWDd77wJdCj90F4RHEEkJf3iGa+yE+Hho3hm+/dXeYIm6hwltERERERDJE0aIw4gMfKrWpBgULkYwPo+jCRJ7DSkqCp56CSZPcHaaIy6nwFhERERGRDJMnDwwa7EPDflXhllsASMIXG4DdDm3awJgxbo1RxNVUeIuIiIiISIby8YEOnb3pMLYy1ap70ZbPnDu8/DIMGeKe4ETcQIW3iIiIiIhkioaPeDFgTUO8X+vp1H6eIOjbF/r0ActyU3QirqPCW0REREREMo3NywZDh8LgwQDsoSRt+Yz5RJn2V14xU9BFsjEfdwcgIiIiIiI5QN++xHrn563e/pwnFx/RiQMUo+2Yj/E+dw4mTDBz1EWyIY14i4iIiIiIS+Tp2Z5az5UBs9Uac2nEQAZybtK30KIFJCa6N0CRTKLCW0REREREXMLLC9pOrM0r/fLgY0sB4A+q0IP3ODRjpTnr++JF9wYpkglUeIuIiIiIiEs98HYdBn+Uj2Cv8wAcogjdGcGGn47AQw/B2bNujlAkY6nwFhERERERl6vQoQ7vf3sLJXwOAXCeXAxgEHOX5sGqVx9OnXJzhCIZR4W3iIiIiIi4RUTTWgxbWJXIgI0AWNj4jLYc+u0Q1K0Lx465N0CRDKLCW0RERERE3CawbiT9VjWiWZ6fAWjPOG7hEPz5J9SuDQcOuDlCkZunwltERERERNzKVqUyrX57mZEFhvEgP1++sGuXKb7/+st9wYlkABXeIiIiIiLifmXL8r/VU6FUKafm2Qfu4Le7O8PmzW4KTOTmqfAWERERERHPUKIELF8OFSoAsJIafM7zvHWyI7NqDMda+5t74xO5QSq8RURERETEcxQuDEuXwh13sJa7ALPp2sRzTzDq3lkkRi93c4Ai6afCW0REREREPEtYGCxaxKv3/E5LpjmaFyXcQ78Hf+f0t7+4MTiR9FPhLSIiIiIinickBNuCn3nqgVP0Zih+JAKwPbkM3Z48xJ6P57s5QJHrp8JbREREREQ8U65cMHcuNRtHMIxehHECgBNWfnp1Os/KN35yc4Ai10eFt4iIiIiIeC5/f/jmG0q3rMFIulGWHQAk4MeQt5OZ32mumwMU+W8qvEVERERExLP5+sKUKeR76UneoS/3sRiAPJyl8scvwrBhbg5Q5N/5uDsAERERERGR/+TlBWPH4pc7N11HjKA4+/kfuyjEUXjtNYiLg7feApvN3ZGKpKLCW0REREREsgabDYYPxxYczOMDBjhfGzyYxDMXONjlPUqV0cRe8Sz6EykiIiIiIlmHzQb9+8PIkU7NFvDBR970rL+BZYtT3BObyDWo8BYRERERkayna1f45BPH1PJF3M8y7iVx/2GGt/yDqROTsSw3xyjyDxXeIiIiIiKSNbVrB9Omgbc3dVhKAxaY9iOH+ab3et4ZlEx8vHtDFAEV3iIiIiIikpW1aAGzZuHj501nxtCOCdiwIOYYaz9ex1v9A4mJcXeQktOp8BYRERERkazt0Ufhxx+xBQXxKHMZyEBycR5OnuDo9xvp/nISW7e6O0jJyVR4i4iIiIhI1le/PixcCCEh3MEG3qMHhTiCV2wscQtW069HAgsXujtIyalUeIuIiIiISPZwzz2waBGEhXELhxhBdyqzEeLiSF62kl9/itOGa+IWKrxFRERERCT7uOMOWLoUChcmD+cYyEAe4QduOb+dnjPvxrZnt7sjlBxIhbeIiIiIiGQvFSrA8uVYJUrgQwov8Qkj6E6uA9ugdm0uLfjW6Le4igpvERERERHJfkqVwlq2jOQyZQAI4qJpP3IE7r2XU4s38sorsGmTG2OUHEOFt4iIiIiIZE9FinBq9mysKlWcmhNPxvH2g8vZt/4U/fvDTz+5JzzJOVR4i4iIiIhItmUPC8OKjoYaNRxtKXgTkngcVq8m5ehxPv4Yxo2D5GQ3BirZmgpvERERERHJ3vLmhQUL4P77AQgknjd4iyb2GbB2LRw9yo8/wsCBcPasWyOVbEqFt4iIiIiIZH+5c8OPP0KjRgB4YfE8E+lijcTn99Vw6BAbN0L37nDwoJtjlWxHhbeIiIiIiOQMAQEwcyY89ZSjqR6LeIc+hGxYDPv3c+QI9OgB69a5MU7JdlR4i4iIiIhIzuHrC198AS+84Ggqz3ZG0o2Sf34Hu3dz/jwMGgQHDrgxTslWVHiLiIiIiEjO4u0Nn3wCXbs6miI4zjB6UWPbZ7BzB482sihWzI0xSrbi4+4AREREREREXM5mgxEjIE8eePNNAAJIoA9DWLRzDXW3VgVruOkncpM04i0iIiIiIjmTzWbmlA8ffrkJs+7be9QIeOklSEkBYM0a2LfPPWFK1qfCW0REREREcrYePcxB3lePbk+YAK1a8de2JIYNg549TQEukl4qvEVERERERF56CaZMMeu/r/Tll3zd9GsS41OIj4fBg2HGDLAs94QpWZMKbxEREREREYBnnoFvvwU/P6fmHtvbUnvn55CSjGXB5MkwciQkJropTslyVHiLiIiIiIhc0qQJzJ0LgYGOJn8S6fnXizyz+01ISgJgyRLo2xdOnXJTnJKlqPAWERERERG5UoMGsGABBAc7mmzAkzvfou/edviTAMCOHdC9O+ze7aY4JctQ4S0iIiIiInK1WrVg0SIIDXVqrrFzMsO2NSIs6AIAJ05Ar16wapU7gpSsQoW3iIiIiIhIWqpVg6VLoWBBp+ZSuxfy/pp7KF/4DGBOHMuTxw3xSZahwltERERERORabrsNli+H4sWdmvPu38jgH6pQ7/ZjdOwIt9/upvgkS1DhLSIiIiIi8m/KlDHF9623OjX7Ht7Pq59WpEHEH07tlgWxsS6MTzyeCm8REREREZH/UrQoLFsGlSo5NdtOHIf77nNa5P311/Dyy2bzNRFQ4S0iIiIiInJ9ChSAxYshMtK5/cwZeOABWLSINWtg2jQ4fRr69DHdRVR4i4iIiIiIXK/8+WHhQqhb17n9/Hlo2JDy++c71nsnJcHIkTB5spl+LjmXCm8REREREZH0yJMH5s2Dhg2d2xMSCG7ZiLcqfsODD15unjEDBg+GixddG6Z4DhXeIiIiIiIi6RUYCLNnQ7Nmzu3Jyfg88xQd/T/jpZfA65+Ka80ac953TIzrQxX3U+EtIiIiIiJyI/z84KuvoE0b53bLwtbuBR7Z/QGDBkGuXKZ53z7o2hW2bHF5pOJmKrxFRERERERulLc3fPqp2cb8al26UOWHtxnxnkWRIqYpLg4++URrvnMaFd4iIiIiIiI3w8sLPvgA+vZNfe2NNygyujfvDbeoWtUsD+/TB2w214cp7uPj7gBERERERESyPJvN7KB2qbK+0rBh5I6LY8CHH3HkmBcFC7onRHEfjXiLiIiIiIhklN69YcyY1O3jxuH9fGtuKZjs1JyQAO+9B4cPuyg+cQsV3iIiIiIiIhmpUyeYNOnyluaXfPEFNG9uqm3MOu9Ro2DpUujeHTZudHmk4iIqvEVERERERDJa69bw9dfg6+vcPns2PPooXLjAuXNw4IBpPncO+veHH390faiS+VR4i4iIiIiIZIYnnoDvvoOAAOf2BQsgKoo89liGD4c77zTNdjuMGwdjx0JycurbSdalwltERERERCSzPPQQzJ8PuXM7t69YAfXqEXTxJK+/bmr0S+bNgwED4OxZ14YqmUeFt4iIiIiISGaqUweioyFfPuf2deugTh28jh2hdWvo1g18/jl3atMms+77779dH65kPBXeIiIiIiIime2uu8wuagUKOLdv2QK1a8P+/dx3HwwZAiEh5tKRI6b4vrQOXLIuFd4iIiIiIiKuULEiLFsGRYs6t+/eDbVqwc6dlCsH778PpUqZSxUqwC23uD5UyVgqvEVERERERFzl1lth+XIoU8a5/eBBM/K9aRPh4fDuu9C4MfTsmfpUMsl6lEIRERERERFXKl7cjHzffrtze0yMWQ++Zg0BAdC2LeTK5dxl3z6IjXVZpJJBVHiLiIiIiIi4WqFCsGQJVK/u3H7mDNSvb65d5eRJs9t5166wd68rgpSMosJbRERERETEHUJDzW7ntWs7t587Z44hmzfPqXnsWDh1Co4fh169YPVqF8YqN0WFt4iIiIiIiLsEB5tzvqOinNvj480i72+/dTR17Aj/+9/ly4MHwzffgGW5Lly5MSq8RURERERE3CkoCL77Dpo2dW5PSoKnnoJJkwDInx+GDoV7773cZepUeO89SEx0XbiSfiq8RURERERE3M3fH77+Gp591rndboc2bWDMGAD8/KBHD2jV6nKXZcugd28zDV08kwpvERERERERT+DjY0a3O3RIfe3ll2HIEABsNmjWDPr1g4AAc3nXLrPp2q5drgtXrp8KbxEREREREU/h5QUffWR2T7ta377Qp49jUffdd8OwYRAebi6fOgX797swVrluKrxFREREREQ8ic1mFnO//Xbqa0OHwiuvmCnoQMmS8P77UKGC2Yutfn3XhirXx8fdAYiIiIiIiMhVbDYzlzx3bujSxfnamDHmyLEJE8DHh5AQU6N7e6e+TUpK2u3iWhrxFhERERER8VSvvgqffWamoF9p0iRo0cKxnbmvb+ouy5dDt27m3G9xLxXeIiIiIiIinuz55+Grr8zma1eaMcPML794MdWX7NoFo0bBnj2m+N6+3SWRyjWo8BYREREREfF0zZvDnDnm2LEr/fQTPPQQnD3r1BwQAKGh5vdnzpg92RYtckmkkgYV3iIiIiIiIlnBww+bQjtXLuf2pUvNrmpXHORdtCiMGAGVKpn3yclmE7ZJkxz7sokLqfAWERERERHJKu67D375BfLmdW5fuxbq1oVjxxxNefLAoEHQsOHlbjNnmo3YLlxwSbTyDxXeIiIiIiIiWcndd8OSJZcP8L7kzz+hdm04cMDR5OMDHTqY16XN1377DXr2hKNHXRdyTqfjxERERERERLKaypXNtuX168PBg5fbd+0yxXd0NJQp42hu2BCKFDHHgJ87Z2rz3r3NiWVX74Z+teDg1DW+pI8KbxERERERkayobFlTfNerZ7Yvv+TAAVN8L1wIt9/uaK5c2az7fvNN02XHDnjyyf/+mNBQ+PJLFd83Q1PNRUREREREsqoSJUzxXaGCc/vRo1CnDvz+u1Nz4cKm+H7pJUhIMJuk58177Ze/P5w8CXFxLniWbEyFt4iIiIiISFZWuLDZ2fyOO5zbT52C++83hfkVcuW6PBAeGGje58oFsbGm0L70Plcuc11unkcU3h999BElSpQgICCAyMhI1q5de82+SUlJvPnmm5QuXZqAgAAqV67M/Pnzb+qeIiIiIiIiWVpYmDmou2ZN5/azZyEqCn7++V+//NAhs1R8x45MjDEHc3vh/fXXX9OtWzcGDBjA+vXrqVy5MlFRUcTExKTZ//XXX2f8+PGMHj2arVu30r59e5o0acKGDRtu+J4iIiIiIiJZXkiIKbAfeMC5/eJFaNQIZs1K88uSkyEmBmw2swGbZDy3F94jR46kXbt2tGnThgoVKjBu3DiCgoL4/PPP0+w/depU+vbtS8OGDSlVqhQdOnSgYcOGjBgx4obvKSIiIiIiki3kygVz50Ljxs7tSUnQvDlMnZrqS3x8zBLxkiVTHw8uGcOthXdiYiLr1q2jfv36jjYvLy/q16/PqlWr0vyahIQEAgICnNoCAwNZsWLFDd9TREREREQk2/D3h2++gZYtndtTUqBVKxg7Ns0vCQtzUXw5kFuPEztx4gQpKSkUKFDAqb1AgQJs3749za+Jiopi5MiR3HvvvZQuXZro6GhmzZpFSkrKDd8zISGBhIQEx/u4f7bss9vt2O32G34+T2C327EsK8s/R3ainHge5cTzKCeeRznxPMqJ51FOPE+Ozom3N0yahC1XLmyffOJ8rWNH7L28sax2WBZY1rVvc+m63W6REd/G7JST9DxDljvH+4MPPqBdu3aUK1cOm81G6dKladOmzU1NIx8yZAiDBg1K1X78+HHi4+NvJly3s9vtxMbGYlkWXl5uX1kgKCeeSDnxPMqJ51FOPI9y4nmUE8+jnAADB5LHy4tc48Y5NXsNexcrvCFJQeEk+l678k5KspGc7MXJk2fIkyflpsPJTjk5e/bsdfd1a+EdFhaGt7c3x44dc2o/duwYBQsWTPNrwsPDmTNnDvHx8Zw8eZLChQvTu3dvSpUqdcP37NOnD926dXO8j4uLo2jRooSHhxMcHHwzj+h2drsdm81GeHh4lv+DnV0oJ55HOfE8yonnUU48j3LieZQTz6Oc/GPMGOwFC+I1cKBTs9fxGFK8kkgqX+KaX5qSYtaAh4aGEhFx86Fkp5xcvQT637i18Pbz86NatWpER0fT+J/F/3a7nejoaDp37vyvXxsQEECRIkVISkpi5syZNG/e/Ibv6e/vj7+/f6p2Ly+vLP+HAcBms2WbZ8kulBPPo5x4HuXE8ygnnkc58TzKiedRTv4xYAAEB8M/A47BxBHKCU4eg4QkG+TOYw7yTk42lXbeEMibD7y8CAuDvHltZNS3MLvkJD3xu32qebdu3WjdujXVq1fnrrvuYtSoUZw/f542bdoA0KpVK4oUKcKQIUMAWLNmDYcOHaJKlSocOnSIgQMHYrfb6dWr13XfU0REREREJMfp2hVy54aXXiLcOsGXtCSOYDiFedm8wLKbX2PtcDoEhg8nuEk9wsPdHXzW5vbC+8knn+T48eP079+fo0ePUqVKFebPn+/YHO3AgQNOP0mIj4/n9ddfZ8+ePeTOnZuGDRsydepU8l6x7/1/3VNERERERCRHatfOFN/PPkt4ygnCOXH5mnXVr2dt0P4BKDgHHn3UxYFmLzbL+rc97HKmuLg4QkJCiI2NzRZrvGNiYoiIiMjyUzmyC+XE8ygnnkc58TzKiedRTjyPcuJ5lJN/MWMGNGv23/1sNnO49+HDkI41zdeSnXKSnroxaz+piIiIiIiIpN/Fi9fXz7Lg9GlTqMsNU+EtIiIiIiKS08yZw3XvlublBbNnZ2o42Z0KbxERERERkZzm5Emw26+vr90Op05lbjzZnApvERERERGRnCY0NH0j3vnzZ2482ZwKbxERERERkZymceP0jXg3aZKp4WR3KrxFRERERERymmbNIF8+s2v5v7HZTL8nnnBNXNmUCm8REREREZGcJiAAJk82v79W8X2pffLkDDlKLCdT4S0iIiIiIpITNWpkdjfPm9e8v7Tm+9KvefPCd9+ZfnJTfNwdgIiIiIiIiLjJo4/C4cPmnO7Zs83u5fnzmzXdTzyhke4MosJbREREREQkJwsIgGeeMS/JFJpqLiIiIiIiIpKJVHiLiIiIiIiIZCIV3iIiIiIiIiKZSIW3iIiIiIiISCZS4S0iIiIiIiKSiVR4i4iIiIiIiGQiFd4iIiIiIiIimUiFt4iIiIiIiEgmUuEtIiIiIiIikolUeIuIiIiIiIhkIhXeIiIiIiIiIplIhbeIiIiIiIhIJlLhLSIiIiIiIpKJVHiLiIiIiIiIZCIfdwfgiSzLAiAuLs7Nkdw8u93O2bNnCQgIwMtLP2fxBMqJ51FOPI9y4nmUE8+jnHge5cTzKCeeJzvl5FK9eKl+/DcqvNNw9uxZAIoWLermSERERERERMSTnT17lpCQkH/tY7OupzzPYex2O4cPHyZPnjzYbDZ3h3NT4uLiKFq0KH///TfBwcHuDkdQTjyRcuJ5lBPPo5x4HuXE8ygnnkc58TzZKSeWZXH27FkKFy78n6P3GvFOg5eXF7fccou7w8hQwcHBWf4PdnajnHge5cTzKCeeRznxPMqJ51FOPI9y4nmyS07+a6T7kqw9qV5ERERERETEw6nwFhEREREREclEKryzOX9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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "metadata": {}, + "outputs": [], "source": [ "# Compare with non-conservative at same latitudes\n", "band_centers = 0.5 * (bands[:-1] + bands[1:])\n", @@ -1644,27 +397,10 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": null, "id": "difference_analysis", - "metadata": { - "execution": { - "iopub.execute_input": "2025-09-26T15:41:08.517200Z", - "iopub.status.busy": "2025-09-26T15:41:08.517025Z", - "iopub.status.idle": "2025-09-26T15:41:08.519920Z", - "shell.execute_reply": "2025-09-26T15:41:08.519579Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Maximum absolute difference: 0.010691\n", - "Mean absolute difference: 0.006063\n", - "Relative difference (max): 1.069%\n" - ] - } - ], + "metadata": {}, + "outputs": [], "source": [ "# Quantify the differences\n", "differences = conservative_result.values - non_conservative_comparison.values\n", @@ -1692,114 +428,10 @@ }, { "cell_type": "code", - "execution_count": 52, + "execution_count": null, "id": "cb2255761173d53e", - "metadata": { - "execution": { - "iopub.execute_input": "2025-09-26T15:41:08.521893Z", - "iopub.status.busy": "2025-09-26T15:41:08.521753Z", - "iopub.status.idle": "2025-09-26T15:41:08.627742Z", - "shell.execute_reply": "2025-09-26T15:41:08.627441Z" - } - }, - "outputs": [ - { - "data": {}, - "metadata": {}, - "output_type": "display_data" - }, - { - "data": { - "application/vnd.holoviews_exec.v0+json": "", - "text/html": [ - "
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\n", - "" - ], - "text/plain": [ - ":Layout\n", - " .Image.I :Image [x,y] (x_y psi)\n", - " .Overlay.I :Overlay\n", - " .Curve.I :Curve [zonal_mean] (latitudes)\n", - " .Scatter.I :Scatter [zonal_mean] (latitudes)" - ] - }, - "execution_count": 52, - "metadata": { - "application/vnd.holoviews_exec.v0+json": { - "id": "7922485d-7955-42d6-8d67-38dae0e029d9" - } - }, - "output_type": "execute_result" - } - ], + "metadata": {}, + "outputs": [], "source": [ "# Pair the map and the zonal profile using hvplot\n", "zonal_df = zonal_mean_psi.to_dataframe(name=\"zonal_mean\").reset_index()\n", @@ -1843,55 +475,10 @@ }, { "cell_type": "code", - "execution_count": 46, + "execution_count": null, "id": "52d24b6b", - "metadata": { - "execution": { - "iopub.execute_input": "2025-09-26T15:41:08.629451Z", - "iopub.status.busy": "2025-09-26T15:41:08.629302Z", - "iopub.status.idle": "2025-09-26T15:41:08.652837Z", - "shell.execute_reply": "2025-09-26T15:41:08.652469Z" - } - }, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "=================================================================\n", - "ZONAL AVERAGING ON HEALPix GRID: Conservative vs Non-Conservative\n", - "=================================================================\n", - "\n", - "Test function: sin(latitude)\n", - "Analysis band: 32°N to 52°N\n", - "Center latitude: 42°N\n", - "Grid resolution: HEALPix zoom level 3 (~1.8° spacing)\n", - "\n", - "-----------------------------------------------------------------\n", - "RESULTS:\n", - "-----------------------------------------------------------------\n", - "Conservative (band average): 0.6528\n", - " → Theoretical value: 0.6590\n", - " → Physical meaning: Area-weighted average over 20° band\n", - " → Use case: Flux calculations, energy budgets\n", - "\n", - "Non-conservative (point value): 0.6687\n", - " → Theoretical value: 0.6691\n", - " → Physical meaning: Value at exactly 42.0°N\n", - " → Use case: Station comparisons, spot measurements\n", - "\n", - "-----------------------------------------------------------------\n", - "KEY INSIGHTS:\n", - "-----------------------------------------------------------------\n", - "• Difference between methods: 0.0159 (2.4%)\n", - "• Conservative < Non-conservative because sin(lat) increases toward\n", - " the pole, and southern portion of band has lower values\n", - "• Both methods are 'correct' - choose based on your application:\n", - " - Conservative: preserves integrated quantities\n", - " - Non-conservative: provides local values\n" - ] - } - ], + "metadata": {}, + "outputs": [], "source": [ "# HEALPix Zonal Averaging: Conservative vs Non-Conservative Methods\n", "# This example demonstrates the key differences between conservative (area-weighted)\n", @@ -1996,1554 +583,10 @@ }, { "cell_type": "code", - "execution_count": 47, + "execution_count": null, "id": "1a6cbff1", "metadata": {}, - "outputs": [ - { - "data": { - "text/html": [ - "
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-       "    time     object 8B ...\n",
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-       "    long_name:      Relative humidity\n",
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-       "       ...,\n",
-       "       [9.95636673e+01, 9.57479248e+01, 9.42285156e+01, ...,\n",
-       "        1.00770416e+02, 1.01268219e+02, 1.04364807e+02],\n",
-       "       [9.75083466e+01, 9.47997131e+01, 9.26638336e+01, ...,\n",
-       "        9.82491531e+01, 9.99979477e+01, 1.02430000e+02],\n",
-       "       [9.58398132e+01, 9.40848160e+01, 9.15409851e+01, ...,\n",
-       "        9.66513596e+01, 9.93786469e+01, 1.01074776e+02]],\n",
-       "      shape=(72, 18), dtype=float32)\n",
-       "Coordinates:\n",
-       "  * lev      (lev) float64 576B 0.1238 0.1828 0.2699 ... 986.2 993.8 998.5\n",
-       "  * lat      (lat) float64 144B -85.0 -75.0 -65.0 -55.0 ... 55.0 65.0 75.0 85.0\n",
-       "Attributes:\n",
-       "    zonal_mean:    True\n",
-       "    conservative:  False
" - ], - "text/plain": [ - " Size: 5kB\n", - "array([[1.39507087e-04, 1.46236242e-04, 1.57333357e-04, ...,\n", - " 1.38013987e-04, 1.37959549e-04, 1.37912750e-04],\n", - " [1.46500082e-04, 1.56465467e-04, 1.59396877e-04, ...,\n", - " 1.38380448e-04, 1.37978277e-04, 1.37925847e-04],\n", - " [1.39333293e-04, 1.40268996e-04, 1.41239536e-04, ...,\n", - " 1.41590019e-04, 1.37986484e-04, 1.37942334e-04],\n", - " ...,\n", - " [9.95636673e+01, 9.57479248e+01, 9.42285156e+01, ...,\n", - " 1.00770416e+02, 1.01268219e+02, 1.04364807e+02],\n", - " [9.75083466e+01, 9.47997131e+01, 9.26638336e+01, ...,\n", - " 9.82491531e+01, 9.99979477e+01, 1.02430000e+02],\n", - " [9.58398132e+01, 9.40848160e+01, 9.15409851e+01, ...,\n", - " 9.66513596e+01, 9.93786469e+01, 1.01074776e+02]],\n", - " shape=(72, 18), dtype=float32)\n", - "Coordinates:\n", - " * lev (lev) float64 576B 0.1238 0.1828 0.2699 ... 986.2 993.8 998.5\n", - " * lat (lat) float64 144B -85.0 -75.0 -65.0 -55.0 ... 55.0 65.0 75.0 85.0\n", - "Attributes:\n", - " zonal_mean: True\n", - " conservative: False" - ] - }, - "execution_count": 48, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "lat_edges_deg = np.arange(-90.0, 90.0 + 10.0, 10.0)\n", "lat_centers_deg = 0.5 * (lat_edges_deg[:-1] + lat_edges_deg[1:])\n", @@ -4175,21 +658,10 @@ }, { "cell_type": "code", - "execution_count": 49, + "execution_count": null, "id": "b752c490", "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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<xarray.DataArray 'RELHUM_zonal_mean' (lev: 5)> Size: 20B\n",
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