diff --git a/Readme.md b/Readme.md
index a72aee8..ac1bead 100644
--- a/Readme.md
+++ b/Readme.md
@@ -1,7 +1,22 @@
-# Max-Cut implementation using VQE
+# Event Scheduling using Max Cut
-The following is the implementation of Variational Quantum Eigensolver algorithm for solving max-cut problem.
+
+
+## The problem statement
+
+There is an event scheduling organization who has events on weekends. All of the events are a day long, so it is not possible for a participant to attend more than one event in a day. To maximize the attendance, the company has asked all the participants to submit their preferences for which two events they wish to attend. Our task is to schedule the events such that it maximizes the participation based on the preferences.
+
+To solve the above problem, I have implemented the VQE algorithm in Qiskit. Refer to [this notebook](https://github.com/jashgopani/maxcut-vqe/blob/main/maxcut_vqe.ipynb) for the code for the same.
+
+## VQE diagram
+
+
## Setup instructions
The setup instructions are specified in the `maxcut_vqe.ipynb` file.
+
+## Tech stack
+
+
+
diff --git a/image.png b/image.png
new file mode 100644
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diff --git a/maxcut.png b/maxcut.png
new file mode 100644
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diff --git a/maxcut_vqe.ipynb b/maxcut_vqe.ipynb
index 6d6a063..d8f8ba5 100644
--- a/maxcut_vqe.ipynb
+++ b/maxcut_vqe.ipynb
@@ -47,7 +47,7 @@
},
{
"cell_type": "code",
- "execution_count": 25,
+ "execution_count": 2,
"id": "a0a48442",
"metadata": {
"colab": {
@@ -102,7 +102,7 @@
},
{
"cell_type": "code",
- "execution_count": 27,
+ "execution_count": 4,
"id": "bc380c46",
"metadata": {
"id": "bc380c46",
@@ -115,6 +115,31 @@
"service = QiskitRuntimeService()"
]
},
+ {
+ "cell_type": "markdown",
+ "id": "de37d51a",
+ "metadata": {},
+ "source": [
+ "# The problem statement\n",
+ "\n",
+ "There is an event scheduling organization who has events on weekends. All of the events are a day long, so it is not possible for a participant to attend more than one event in a day. To maximize the attendance, the company has asked all the participants to submit their preferences for which two events they wish to attend. Our task is to schedule the events such that it maximizes the participation based on the preferences.\n",
+ "\n",
+ "\n",
+ "**Reference** - [https://youtu.be/LhbDMv3iA9s](https://youtu.be/LhbDMv3iA9s)\n"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "d2ba599d",
+ "metadata": {},
+ "source": [
+ "# Visualizing the problem\n",
+ "\n",
+ "This problem can be visualized as a graph problem with the events being the nodes of the graph, the edges being the user preferences i.e a connection between the two events that a participant wants to attend. The weight of the edge being the number of participants that have the same preference. \n",
+ "Our goal is to decide which event is to be scheduled on saturday and which on sunday. For this, we can think of assigning a \"0\" or \"1\" value to the nodes, i.e. 0 if it is to be scheduled on a saturday and 1 if it is to be scheduled on Sunday.\n",
+ "This idea of assigning 0 or 1 is equivalent to partitioning the graph and in such a way that maximum edges are cut i.e. maximum preferences are taken into consideration. This is why, this problem is a Max Cut problem."
+ ]
+ },
{
"cell_type": "markdown",
"id": "ygMQsQi6JKBl",
@@ -135,7 +160,7 @@
},
{
"cell_type": "code",
- "execution_count": 28,
+ "execution_count": 35,
"id": "9dSZvQU-AHHD",
"metadata": {
"id": "9dSZvQU-AHHD"
@@ -148,12 +173,153 @@
" nx.draw_networkx(G, node_color=colors, node_size=600,\n",
" alpha=0.8, ax=default_axes, pos=pos)\n",
" edge_labels = nx.get_edge_attributes(G, \"weight\")\n",
- " nx.draw_networkx_edge_labels(G, pos=pos, edge_labels=edge_labels)"
+ " nx.draw_networkx_edge_labels(G, pos=pos, edge_labels=edge_labels)\n",
+ "\n",
+ "def print_explanation(bit_string, cost):\n",
+ " weekend = {'0':[],'1':[]}\n",
+ " for index in range(len(bit_string)):\n",
+ " char = bit_string[index]\n",
+ " weekend[char].append(str(index))\n",
+ " print(\"The events will be scheduled as follows\")\n",
+ " print(f\"Saturday: {', '.join(weekend['0'])}\")\n",
+ " print(f\"Sunday: {', '.join(weekend['1'])}\")\n",
+ " print(f\"Expected No. of participants: {cost}\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "817712a7",
+ "metadata": {},
+ "source": [
+ "# The Graph\n",
+ "\n",
+ "For demonstration purpose, consider the following scenario\n",
+ "\n",
+ "**n**: number of events\n",
+ "\n",
+ "**list_edges**: list of tuples with the first two values being the event number and third value is the count of participants that have that preference\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 14,
+ "id": "ef19754c-3b6b-4191-ba46-d1acc1b3fc95",
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 406
+ },
+ "id": "ef19754c-3b6b-4191-ba46-d1acc1b3fc95",
+ "outputId": "cd7d437a-ca4e-4a14-890b-7745928d5e28",
+ "tags": []
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Number of participants: 100\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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DpCS8mkZnvAnrOj5dj8wPO1SVi9PTuS47mwvT0zEP4j8LgN/97ncsX76cM888E5/Px8aNGxk7dix2uz0SLr1eb2R/h84L/6pVqwgEApx++uldPu/HH39MdnY2I0eOjLqRg/+0tHD37t20h8O9Gg04EYfJhEVR2ObxcOvOnfx53DjyZISgS7KAUIhT1Pkm/eMf/5g33niDr371q+Tm5vKjH/0Iq9XKb3/725MGglAoxPbt2yNz/ps2bcLn85GUlMSUKVMiC/5Gjhw5qC/+J+MJh3m3qYlNbjcvrVpFa2oqaZmZaIf/jE1AttXK5KQkJiYmcmF6+qAeCfiitrY21qxZQ2lpKR999BH79u3D5/Px05/+lG9+85vY7Xb+/Oc/8+CDD/L8889z6aWXUl9fz3/913+RmZnJCy+8cEy7oq7rXHDBBbS1tWG1Whl7+NTGzo/hw4cbNppU3tHB/K1baehmd0lvhXSd2kCAmamp/HX8+FMeeRhMZJ8BIQbQxo0bueqqq7j33nu59957AaiqquKKK65gxowZ/OpXvzrq8bquU19fzzvvvMPatWvZuHEjXq8Xh8PB5MmTIxf/MWPGxPTF/0TmzZvHRZdfzn/dfjt+XcesKCSqKkP68aIRjVwuF8FgkNGjR0c+d/vtt7Nu3TrOPfdcPvvsM+rq6njttdeYPHlyl8/h9/v5/PPPjzp/4cCBAwCkpKQcFQ4mTJhwSptLdZem69yyYwcfNDd3e9+JU+HTNJpCIR4tLOSuYcP69bWiiYQBIQbQnj17GD16NC6Xi8LCQnRdR9M0Jk2aREdHBxs3bjzqjk3TNNatW8d9993HmWeeGbn4jx07FlMf75Q3GHm9Xs455xwee+wx5s2bZ3Q5Uae+vp7XXnuNf//73xQWFnLfffeRm5vbo+dobW09av+DrVu30nz4eOjc3NyjwsHYsWOPOhq6L/yptpaH9+0j1WTCMUB/5+uDQeyqyrKJExnby7MuBhsJA0IMsMzMTG655RaWLl1KQkICb7/9Ng8//DCVlZW89NJLXHbZZUc9XtM0NE2LujncaLB9+3ZuueUWXnrppaM28BH9R9d1amtrjxo92L59Oz6fD1VVGTFixFEHNJ122mm9Dq7ecJg5GzZwMBBg6Cmc4dBTnVtUX5OVxa+PGGmJZbLPgBADbNGiRbzwwgu8++671NbWkpiYyA033MCqVavYtm3bMWFAVdW4nQI4GZfLBUBRUZGxhcQRRVHIzc0lNzeXCy+8EDjUxeByuY4aPVi+fDmapmGz2SLrDzrPYMjLy+vWFM7bTU3UBAJk9SAId+zbR6vTiXfHDgL19ZiSkkg47TSy/+u/sA4d2u2fMclk4r2mJip9PoZLd0GEhAEheqGrtsF7772X888/n7KyMoqLi7nooovQdZ0xY8b0aAc9cSgM5OTk9PnQtOgZk8nEyJEjGTlyJFdeeSUAPp8vsv5g69at/Oc//+Evf/kLAKmpqUeFg/Hjxx9zsqWu67xcW4uu6z1ayNf45pt07N5N8rRpZOTnE2ptpen993E98ghFP/gBtsPtlieTYjJRHQjw94YGvtPN74kHEgaE6AZd1zlw4ABr167FZrNx6aWXdnkHdPrppx/V3rVq1SoOHjzI7NmzB7LcQc/lcvXqcCLR/+x2O2eccQZnnHFG5HMtLS1s3749ckDT3/72N1paWgDIy8s76vRGW1ERmzweUns4PZZx6aUkfPObKEd8X8rZZ7NvwQIali9n2De+0a3nURUFs6LwRn29hIEjSBgQogu6rlNdXR3p81+3bh11dXWoqsoll1xyzJB/J6/XS3t7OxkZGezbt4/vfe973HTTTTLc3UMul4tZs2YZXYboprS0NGbOnMnMmTOBQ/9+ampqjjq98T//+Q9+v5+2CROo+e//Jk3TCNntJCQkdGvLaceoUcd8zjp0KLZhwwhUV/eoXoeqUun303R410ohYSAuabpOuc/HTq+XHV4vdYEAfk3DfHg+bZTDwTiHg7EOx4Ct8o0GNTU1R138a2trUVWVsWPHcskll1BSUsIZZ5xB4glWIe/Zs4c//OEPLF++nNraWi655BIeffTRyJax4uSCwSCVlZUyMjCIKYpCXl4eeXl5zJ07Fzi0/mDv3r0s3bOHGpMJv8dDW0sL6DqKqpJgt2NPSCDhcEDozk6Kuq4TamvD1sNWQbuq0hQKscPrZdZJjpGOFxIG4kiV38/f6+t5pa6O2kAA3+Gd3TRdp7OlpPM0MKuq4lBVLsrI4LrsbGakpAzavd6Pp66uLnLxX7t2LdXV1SiKwujRo7nggguYOnUqkydPJrkHR+AWFRVxzjnnMHPmTC644IIB6deONQcOHEDTNBlNiTEmk4nRo0ejahpJjY0MGzIETdfx+Xz4Ojro6Oigva2NpsbGQ483myPBoDMkfLF7oW3VKkLNzWRdc02ParEoCmHgcwkDERIG4kC1389TFRW81dREeyiE5fAIQJrF0uWpbvoRx4K+VlfHsoYGxjoc3Dd8OBdnZAzaDV8aGhoiO/ytXbs2sunKyJEjOeeccygpKWHKlCmn1D6bkpLC1Vdf3Vclx6XOTgIZGYhNzcFg5H1HVRQcCQk4jjhlMRQOR8JBR0cHjY2NhMNhdA6dymizWrHZbGToOrV//CMJI0eSOmdOj2pQFAUVcIfDffiTDW4SBmKYpuu8Xl/PkxUV1Pj9JJlM3drpS1EU7IqC/fChMT5NY4vbzZ27dvHlrCwWFhYyZBDMszU1NR118d+/fz8AI0aMYMaMGXz7299mypQppKWlGVuoOIrL5SI1NfWYVegiuoXDYbxeLx0dHXg8nuP+ujc9HbfVSk0gENlrQwuH0XT9mF85YhscXdPw+3x0dHSgt7fT8te/YnY4GPbtb6P0skU3dPJtduKGhIEY5Q2HeWDvXpY1NAD0ertPRVFIMJkYZjLRFgrxl4MHWdXaym9Gj2ZyD4bPB0JLSwvr16+PXPz37dsHQGFhISUlJdx1111MnTpVhu4HQCgUwu1209raSjgcZujQod1uE5ROgv6n6zqBQOCEF+2e/hoIBE74mqqqkpCQQP2NN+LPzcXk96MqCqrJhNliiey70flhUlWULn7F52P34sUE3W5GPP44llMIjdZBOsrZHyQMxCBvOMydn3/O+83NpJnNJPXRIsAUsxmHycR+v59bd+7k+TFjmGbgjpRtbW2Ri/+6devYvXs3APn5+ZSUlPC1r32NKVOmkJWVZViN8aiqqopvf/vbrFmzBp/PR1paGldccQXf/e53KSgoOOn3u1wuJkyYMACVDh7dvevuzq9erxev14umaSd8TavVisPh6PJjyJAhx/3a8T5sNhuKovDtXbt4vaGBYb1YVKsFgxz45S+hsRHrLbd0e2+BL9J1HQ3IHAQjnANFwkCMCWga9+zezfvNzQyxWEjo4x3uzIpCrsVCTTDIHZ9/zsvjxjExKalPX+N43G4369evjwz979q1C13XycvLo6SkhJtvvpmSkhKys7MHpB7RtZaWFpKTk3nrrbcYPXo0H3/8Mf/zP/9DW1sbL7zwwgm/V9M09u/fz+WXXz5A1fY9I++6ExMTj/k1MzOzy8939WvnhTshIaHftsken5gI9fVdbtx1IrqmUfXss3j37CHzjjtozshA0/VejXj6dR2rojAuTs4n6A4JAzHm+Zoa3mpqIsNs7vMg0Ek9HAiqAwHu27uXf06c2C8tiF6vl40bN0aG/Xfu3ImmaeTk5FBSUsJ1111HSUlJjw9oEf1rwoQJ/PGPfwQOXdznzp3Lt771LV566SXcbjdJJwiPtbW1+P3+Ae0kCIfDR90x98WHUXfdg8E4hwNVUQjpOpYe1Fz3l7/g3rCBpMmTUf1+wps20XjwINbDd/epPdiXwqdpJKgqo49YuBjvJAzEkB0eD/+vshKrovT7/gCqopBtsbDF4+GZykoeKiw85efs6Ohg06ZNkYv/9u3b0TSNrKwsSkpK+PKXv0xJSUm39z8Xxus8e2Hfvn1kZGSQlJR0wjvCk3USnOyuuzcXbr/ff8KfQVGUE1648/Pze3Th7s+77sFgYmIiiSYTbk0jvQc3LL7DC4DdGzbQvn49QZ+Pg1ZrpN2wJ2HAEw4zKzWVhDjaR+Vk4vdvZIzRdJ2FLhetoVCv5uJ6w6qqJCgKv6upYW5GRo8XFPr9/qMu/tu2bSMcDpORkUFJSQnz58+npKSE/Px8ufgPYitWrODtt9/m8ccf7/Lr4XCYF154Aa/XG9m++cc//vFxL+5y1z24ZVqtXJKRwd/q6kgzmbr9Z1u4cOFR/71r1y4yMjJ6fO5HUNNAUbhWphOPImEgRjhbW/msvZ0hZvOAvnGlm81UBQL8obb2pGEgEAiwZcuWyIK/LVu2EAwGSU9PZ+rUqVx66aWUlJRQVFQkb74G6Lzr7u4d9aRJk5g1a9YJj7HdvHkzCxYs4Oqrr+bmm29G07RjTmo0mUyUlpZitVrZt28f9sMnyWVkZJCfn9+tue4j57zj+a57sLguO5t/NjQcGq7v5d251WY76VqKrrSEwwy1WLhsyJBevW6skn81MeKvdXUENY2EHqyO9ezYQcWTT3b5taJHHyVh5MiTPkfnkaDvNDVR7feTd8Qe48FgkK1bt0YW/G3evJlAIEBKSgolJSXce++9lJSUMGLECLn494KmaX06z93du+7Oi6/D4TjhAUz79+/njjvuYNy4cfziF78gHA4fNzi8+eabANx+++0MGzbsuKMIIjZMT0lhUmIi691u8lS1V//+bVYrvpNM8XxRUNfxaxrX5eSQKFMER5EwEAOq/H7ea2rqdQth+kUXkTBixFGfs+TkdPv7O48Efe3gQc5raYkM+2/atAm/309SUhJTpkzhW9/6FiUlJYwcOfKYu8NY19O77u60kXVnrvvIFeJHfmRkZDB8+PAeD5l39667sbGRO++8k/T0dF599VWAE44gdP4ZlZeXywmPcUBVFBYXFXHd9u00h0K9OizIarXS1t7e7cfruk59MMiohAS+kZfX49eLdRIGYsCnbW20h8Pk9XKtgGPMGFKmTevV93b4fHg9Hto1jcdLS/nTiy/icDiYMmUK3/jGNygpKTm0H/kgu/gbfdf9xV/T09OPaf/qzly3EX/uuq5z++23s3HjRv72t7/x4Ycf0tLSgs/nY+bMmcddHNjc3ExbW5ucSRAnzkpJ4eu5ufyyspKApmHt4d9Vq9WKFg4TCocxd+NGqDUcxqYoLBkxghSZSjqG/InEgB1e76GdvE5hqF3z+VAsFpST/KPy+Xx4vF68Hk/kAqeqKubUVGyjR/P8iy8yady4k94F9iVd1wkGg33a1z3Qd93dPaVtsFi+fDnp6elcdtll2O127HY7GRkZ/PznPz9uGJAzCeLPd4YPx9nayrr2dnKs1h61GloPT0kGAgHMJ2kR9ITDeDWNO3Jz+ZJsP94lCQMxYKPbfUrfX/P882g+HygKjjFjyL7uusi0gc/vx+vxHAoAXi9aOIyiqjgSEhiSmUmiw4E9IQFfOIxH07AVF580CBx5191XF++T3XVbLJbjXojT09N7tcJ8sI12DBRFUU76/6MrLpcLk8lEfn5+P1QlopHDZOL5MWO4accOtnk8ZFss3R4hsFosoCgE/P6jDjr6ovZwmLZwmC9nZrKwD1qgY5WEgRiwt6MDW2/OHTCbSS4pIemMMzAlJ+OvqqJhxQr2/vCHJH3zmwTS0wmHw4cOLrLbSUtNxWazYbVaD23nqWkEAgF8Ph9BTaNVVfnZyy9TcPDgKd11Aye8cA8bNiyu77pjlcvlIj8/X7oB4kyuzcafxo3j9p072eh2k2wykdKNlkNFUbBYLMftKNB0nYZgkDBwQ3Y2T44YgUUC/HHJv7pBTtd1fJrWqykCx6hROEaNAqCuro4asxnt2mvRfvc7gm+8geXmmyNHfXYeJ9oVRVFQVJVAaio79u0jXFcXmetOS0vrdltY5692u13uuuOQHFAUv/JsNl4dP54fVVTwal0dNcEgWWbzSS/eNqsV/xfCgH74+PWmUIghFgsP5Odz89ChXR7XLv6PhAGB3++nuqYGdJ30007DP2UKgS1bGJqdjcls/r+TxEymyCljR/6qKAq6rlMZCPDA977HVXIwkOiF8vLyQX0mgTg1aRYLPzrtNOZmZPCoy8U+nw+AVJMJx3HaD61WK+7D06SartMWDuMJh7GoKuelpbF0xAhGyJbD3SJhYJBTFAW7qtIRDvf6Odxud2SXNavFgqOggMatW0lPSsLUzX9IOofahexyRy96wePxUFdXJ50EgvPT05meksLbTU38+eBB1re30xIKgaJgBmyqSmcsCNhseEIhqg5PPSabzXwlO5vrsrOZkZJySouq442EgRhwWkICK3uxE1cnt9tNclISySkpVFdVYT1wAMVsRj1iA6GT8WsaNkWh8PDucUL0RHl5OSCdBOIQh8nEl7OyuCYzky0eD2vb29nh8bDe7abS70fvfJzFgv/AAa4vKmJ6bi6zU1OP2vhMdJ+EgRhwZlISK1tbe/x9obY2lMREvB0d5A4dSmpKCq2ff07junWkl5Sg9OAuv0PTSDSZOE2G5EQvdLYVysiAOJKiKJyelMTpR5x0qR3eRdCkKDTX13PZ/fdzzZlnMvuMMwysdPCTMBADxjkcaLre47O9q371K4K6Tigjg/DIkRw8eBDvRx+hWK2E58xBB7r7bD5dZ2piYo83DhECDoWBoUOHkiBhUpyEqiiR8wyysrKw2+3s379fdq48RRIGYsDZKSkkm0y0hcOk9aAtK3nqVGo++ABt1y7qVq/GnJxMyllnkXfppVR1dFBfX092NxYDdgaRL6WmnsqPIeKYdBKI3lBVlYKCAvYfPt5Y9J6EgRgwzGZjbkYGf6+v71EYyJg7l/qiIrIzMsj6wjGgwcZG6urqSExMJNHhOOHztIXDpJjNXCNdBKKX5EwC0VuFhYUSBvqAjOnGiP/OzsbSw66Czh0Fk4+Yj+s0ZMgQHImJVFdVET7Bc+q6jjsc5pKMDFm4I3olEAhQWVkp6wVErxQWFlJRUWF0GYOehIEYMTs1lbOSk2kMhdB1/eTfwKEuApPZHDk//ouG5eWh6/qhPQiOozkUItFk4rahQ3tVtxAHDhxA0zSZJhC9UlBQQH19PV6v1+hSBjUJAzFCVRSWFheTajbTGAp163s6WwqPx2w2k5uXh7u9nebm5mO+HtA0OnSdO3JzmZyc3OvaRXyTA4rEqegcUZLRgVMjYSCGjEtM5DvDhxPQdbwnmS4IBoP4/X6SThAGAJKTkkhPT+fgwYNHnSmg6Tp1wSCTEhP59vDhfVK/iE8ul4u0tDTS5DQ50QsFBQUAsm7gFEkYiDFfz81lXkYGTaEQHSc4Oc7tdqMoComJiSd9zpycHKxWK1VVVYcOKNJ1aoJBhlqt/Py003AM4HHFIvZIJ4E4FUlJSWRkZEgYOEUSBmKMVVX55ahRXJSeTmMwiPs4IwTtbjcOh6NbBwIpisKwYcMIBALUdB4iYrHwuzFjmHiSkQUhTqa8vFzCgDgl0lFw6iQMxCCHycRvx4zhy1lZuMNhagMBtCMWFWqahtfjOekUwZFsNhspQ4dSHw6TEQjw0tixTEtJ6Y/yRRzRNI3y8nLpJBCnRDoKTp2EgRjlMJl4ZtQofjFyJFlWK9WBAC2hEJqu4/F60XWdpG4s+tN1nY5wmCq/H0tiIqfX1THkJz9h2OETxYQ4FTU1NQQCARkZEKekc+Oh7nZSiWNJGIhhqqLwX9nZrJg0if/OzkZVFGoCAWr9flSHA9NxNijSdR2fptEcClEVCNCuaUxKSuJ3Y8bwwZe/jCMc5gc/+AHaCdYkCNEd0kkg+kJRURFer5eGhgajSxm0JAzEgTybjf83ahT/OvNMHi4oQGlowJqURG0wSHUgQKXfzwG/n0q/n6pAgKpAgLZwGIuicG12Nq+OH887p5/OxRkZpKen89hjj/HZZ5/x8ssvG/2jiUHO5XKRkJBATk6O0aWIQaywsBCQ9sJTIdsRx5FhNhsXezy89PTTPPqrX2E57TR2er3UBQIEdB2zouBQVUY7HIxzOBjjcHTZKTBt2jRuvvlmfvWrX1FSUsL48eMN+GlELHC5XBQVFaHIufPiFOTl5aGqKvv372fq1KlGlzMoSRiIM06nkySHg8umTMFsNjNvyJBePc83vvEN1q5dy4IFC/jLX/6C4yTnFwjRFekkEH3BYrEwfPhw6Sg4BTJNEGfKysqYMWMG5h4caNQVi8XC0qVLaWxs5Kmnnuqj6kQ80XU9MjIgxKmS0wtPjYSBONLU1MS2bduYM2dOnzxffn4+Dz30ECtWrOCdd97pk+cU8aOpqYn29nYZGRB9QtoLT42EgTiycuVKFEVh5syZffacl112GRdffDFPPvkk1dXVffa8IvZJJ4HoS4WFhVRWVhIMBo0uZVCSMBBHysrKmDhxIunp6X32nIqi8P3vf5/U1FQWLlxIqJuHJAnhcrkwmUwMl7MtRB8oLCxE0zS5KeklCQNxIhgMsnr1ambPnt3nz52UlMSSJUvYtm0bzz33XJ8/v4hNLpeLgoKCU16/IgTIgUWnSsJAnNiwYQNer7fP1gt80emnn86dd97J73//e9avX98vryFii3QSiL6UmZmJw+GQMNBLEgbihNPpJDs7m1GjRvXba9x2221MnjyZRYsW0dbW1m+vI2KDdBKIvqQoinQUnAIJA3HC6XQye/bsft3cRVVVHn/8cXw+H0uWLJF9wsVxud1u6uvrZWRA9CnpKOg9CQNxoKKigoqKin5ZL/BFOTk5LFq0iI8++og33nij319PDE7l5eWAdBKIvlVYWBj5uyV6RsJAHHA6nVitVqZNmzYgr3f++edzzTXX8LOf/Yx9+/YNyGuKwaWzrbBzT3kh+kJhYSFNTU243W6jSxl0JAzEgbKyMkpKSrDb7QP2mvfddx+5ubksXLiQQCAwYK8rBgeXy0Vubi4JCQlGlyJiSGdHgUwV9JyEgRjndrtZv359v3URHI/dbueJJ56gvLycZ555ZkBfW0Q/6SQQ/aFzpEmmCnpOwkCM+/TTTwmHwwOyXuCLRo8ezT333MMrr7zCypUrB/z1RfSSTgLRHxwOB1lZWTIy0AsSBmJcWVkZp512Grm5uYa8/nXXXcesWbNYvHgxDQ0NhtQgoksgEKCqqkpGBkS/kPbC3pEwEMM0TWPlypUDPkVwJEVR+MEPfoCiKCxevBhN0wyrRUSHiooKNE2TMCD6RWFhoYSBXpAwEMO2b99Oc3OzIVMER8rIyOCxxx5j9erV/OUvfzG0FmE8OaBI9KfOvQbkxqNnJAzEsLKyMlJSUpg0aZLRpTB9+nRuuukmnn32WXbs2GF0OcJALpeL9PR0UlNTjS5FxKDCwkJ8Pp9MS/aQhIEY5nQ6mTlzJiaTyehSALj77rsZOXIkCxcuxOv1Gl2OMIh0Eoj+1NleKB0FPSNhIEbV1dXx+eefG7pe4IssFgtLly6lrq6On/70p0aXIwwinQSiPw0bNgyTySQdBT0kYSBGOZ1OVFVlxowZRpdylMLCQh588EFKS0t5//33jS5HDDBN09i/f7+MDIh+YzKZGD58uCwi7CEJAzHK6XRyxhlnkJKSYnQpx7jiiiu46KKLWLp0KdXV1UaXIwZQdXU1gUBAwoDoV9JR0HMSBmJQIBBgzZo1UTVFcCRFUViwYAFJSUk88sgjhMNho0sSA0Q6CcRAkDDQcxIGYtDatWvx+XyGtxSeSHJyMkuXLmXLli288MILRpcjBojL5cLhcJCdnW10KSKGFRYWUlNTI+ei9ICEgRjkdDrJy8uL+ruvM844g69//es8//zzbNiwwehyxAAoLy+nqKgIRVGMLkXEsIKCAjRNo7Ky0uhSBg0JAzFG13XKysqYPXv2oHjD/drXvsbpp5/OokWLaGtrM7oc0c+kk0AMhM6/Y9JR0H0SBmKMy+WipqYmqqcIjmQymXj88cfxeDw88cQT6LpudEmin+i6jsvlivoRKzH4paenk5iYKOsGekDCQIwpKyvDbrdTUlJidCndlpuby6JFi/jggw8oLS01uhzRTxobG3G73RIGRL9TFEUWEfaQhIEYU1ZWxtlnn43VajW6lB658MILufLKK/nJT34i/4BjlHQSiIFUVFQk7yU9IGEghrS1tbF58+ZBM0XwRd/73vfIzs5mwYIFsgo4BrlcLsxmM8OHDze6FBEH5CjjnpEwEENWrVqFpmnMmjXL6FJ6JSEhgSeeeIK9e/fyq1/9yuhyRB8rLy+noKAgas7KELGtsLCQlpYWWZjcTRIGYojT6WTMmDGDuod77NixfPvb3+bPf/4zq1atMroc0Yekk0AMpMLCQgAZHegmCQMxIhwOs2rVqqjddbAnrr/+embMmMHixYtpamoyuhzRR6STQAyk/Px8QNoLu0vCQIzYvHkzbW1tMREGVFVl8eLFACxevBhN04wtSJwyt9tNQ0ODhAExYBISEsjOzpaRgW6SMBAjnE4nGRkZjBs3zuhS+sSQIUNYvHgxq1at4tVXXzW6HHGKpJNAGEE6CrpPwkCMKCsrY9asWahq7PwvnTlzJjfccAPPPPMMu3btMroccQpcLlek91uIgSIdBd0XO1eOOFZdXc2+ffsGbUvhiXzrW9+iuLiYBQsW0NHRYXQ5opfKy8vJzc3FbrcbXYqII4WFhVRUVMhUYzdIGIgBTqcTk8nE9OnTjS6lz1mtVpYuXUpNTQ0///nPjS5H9JJ0EggjFBYWEggEOHjwoNGlRD0JAzHA6XQydepUEhMTjS6lXxQXF/O9732PN954g48++sjockQvjBo1KiZHrkR065yWko6Ck5MwMMh1dHSwdu3amH+jveqqqzj//PNZsmSJpPxBRtd1vvGNb3DttdcaXYqIM7m5uVgsFlk30A0SBga5zz77jEAgEPNhQFEUFi1ahN1u55FHHpE5wEFEUZRBcZy2iD2qqpKfny9hoBskDAxyZWVlFBQUUFBQYHQp/S4lJYUlS5awceNGfv/73xtdjhBiEJCOgu6RMDCI6bqO0+mM+VGBI02ZMoXbb7+d3/3ud2zevNnocoQQUU6OMu4eCQOD2K5du6ivr4+JXQd74n/+53+YOHEiixYtwu12G12OECKKFRYWUltbi9/vN7qUqCZhYBBzOp04HA7OPPNMo0sZUCaTiSVLltDa2soTTzyBrutGlySEiFKFhYXous6BAweMLiWqSRgYxMrKypgxYwYWi8XoUgZcXl4eCxcu5L333mPFihVGlyNOQNM0CWzCMNJe2D0SBgappqYmtm3bFndTBEeaO3cul19+OU899ZT8Q48SR170w+EwcGhFt3QTCKOkpqaSkpJCeXm50aVENbPRBYjeWbVqFXBo//549uCDD7Jp0yYWLlzI73//+7gcJYkmiqKwYcMGVq9ejcvloqOjI3KA1rRp0xgxYoTRJYo403kmhtwwnJiEgUGqrKyMCRMmkJGRYXQphnI4HCxdupTbbruN3/zmN9xzzz1GlxTXXn/9dR566CHa29sZOXIkqampeDwe3n77bZKTk7n77ru55pprjC5TxBlpLzw5mSYYhILBIKtXr46rlsITGT9+PHfffTcvvfQSa9asMbqcuHbvvfdy4403UldXx6pVq/jrX//Kc889x4IFC8jLy+Omm27igw8+MLpMEWekvfDkJAwMQhs3bsTj8cT1eoEvuummm5g2bRqPPPIIzc3NRpcTl1wuF21tbXz/+9+PfC4lJYUxY8Zw1VVX8ac//Ymvf/3rPP744wZWKeJRYWEhbW1ttLS0GF1K1JIwMAiVlZWRlZXF6NGjjS4laqiqymOPPUY4HOaHP/yhrF43gNfrpaCggJdffjnyOV3XIwsJAS688EL27t1rRHkijklHwclJGBiEOncdlBXaR8vMzOQHP/gBTqeT1157zehy4s7YsWO5+uqreeKJJ3j22WcpLy9HURRMJhPBYJCPP/6YF198Me4XvYqBl5+fj6Io0lFwArKAcJCpqKigoqKCe++91+hSotKcOXO49tprefrpp5k8eTKjRo0yuqS4YTKZuP/++/H5fDz66KN85zvfISMjg7y8PNLS0qisrGTUqFH86Ec/MrpUEWdsNhtDhw6VkYETUPRujKe2tbWRmppKa2srKSkpA1GXOI6//OUvPPvss3z44YckJCQYXU5UCgQC3HLLLWiaxksvvYTdbje6pLigaRqqemiwMRwO8+mnn7J161aqqqpob29n/Pjx3HzzzdhsNoMrFfHo7rvvxuFw8JOf/MToUgZUd6/fMjIwyDidTkpKSiQInIDVauWJJ57gpptu4umnn+bhhx82uqS40BkE4NAowcyZM4+ZEmhqapIwIAxRWFjI2rVrjS4jasmagUHE4/Gwbt06aSnshhEjRnDffffx+uuv8+9//9vocmKepmkcOHAAt9tNKBTqcgHnnj17uPHGG49aUCjEQCksLKSyshJN04wuJSrJyMAg8umnnxIOhyUMdNOXv/xlVq9ezWOPPcb48ePJzs42uqSYtWnTJm699VbGjBlDcXExY8aMoaioiJycHDIyMkhNTeXTTz/F6XRiMpmMLlfEocLCQgKBADU1NQwbNszocqKOhIFBpKysjBEjRpCXl2d0KYOCoig88sgjXHfddTzyyCP85je/OWooW/Sdjz/+mJ07d1JcXExpaSkHDhygo6MDu91Obm4uo0aNorq6mjPOOMPoUkWc6mwv3L9/v4SBLsg74yChaRorV66UjYZ6KDU1lccff5z169fzxz/+0ehyYlZ7eztXXnkly5YtY+fOnXg8HhoaGnj77be55557yM3NZevWrcyYMcPoUkWcysnJwWq1yk6ExyEjA4PEjh07aGpqkimCXigpKeGrX/0qv/nNbzjrrLOYOHGi0SXFnKlTp9LR0UF5eTlFRUVomkZGRgZf+tKX+NKXvgTAmjVrGD58uMGVinilqirf/e53GT9+vNGlRCUJA4NEWVkZKSkpnH766UaXMijdeeedfPbZZyxYsIBXXnmFxMREo0uKKXPnzmX27NmRP9fO6RhN09B1nba2Nux2u4wMCEPJIVnHJ9MEg4TT6WTGjBmy+KqXzGYzS5cupaWlhaeeesrocmKOyWQiOTn5mDUZqqpiMplIS0tjxYoVnHXWWQZVKMShv6fyHto1CQODQF1dHTt37pT1Aqdo2LBhPPzww7z11lu89dZbRpcTVxRFYejQobKFthBRSsLAILBy5UpUVZU93fvAvHnzmDdvHj/60Y+orKw0upyY9MXDiYQQ0U/CwCDgdDo5/fTTZSvoPvLQQw+Rnp7On//8ZzndsB80Njby4Ycf4vP5jC5FiB7xer243W6jyzCEhIEoFwgE+PTTT2WKoA8lJiby/PPP8+CDD0oY6Afr169nwYIFBAIBo0sRokd+//vf88QTTxAMBo0uZcBJGIhya9euxefzSUthH8vKykJRlJNuQiRbl/acy+UiIyNDRrJE1HnuuefYuXMn4XCYUCh0zHTW+PHjKS0tZc+ePQZVaBwJA1HO6XSSm5vLiBEjjC4l7ni9Xn7961/z//7f/zO6lEHF5XJRXFxsdBlCHGPRokX861//wmQyYTabI50FdXV1rFy5kk8++YTt27ezYcMGgysdeLLPQBTTdR2n08mcOXNkFbZB8vLyuPfeexkyZAg33XST0eUMCi6Xi8mTJxtdhhDHmDNnDn/+858pLy9nw4YN7Nq1i9raWgKBAHa7nfz8fM4555y4PMdEwkAUc7lcVFdXyxSBQRwOB1dddRUdHR1861vf4vzzz5dzIU4iHA5TUVEhm7uIqDRr1izuv/9+NE2jsLCQW265hZEjR1JQUEBWVhbp6enYbDaSkpKMLnXASRiIYk6nE7vdTklJidGlxA1d1wkGg/zzn//k2muvRVVVrr/+el5++WV+97vfsXjxYqNLjGpVVVUEg0GZJhBRqaioiLS0NF577TWGDBmC2WzGbJbLIMiagahWVlbGtGnTsFqtRpcS08LhMOvWrQOITMcsWbKEW265BTi0i15zc7PsXNYN5eXlwKE3XSGizaRJk7BYLNhsNux2uwSBI8ifRJRqa2tj06ZNPPzww0aXEtPC4TDf/e53sdvtTJ06FQCr1cpvfvMb5syZg91uZ9OmTezevZulS5caXG30c7lcOBwOsrKyjC5FiGOMHDmSJ554gvT0dMLhcJcB/7e//S02m40bb7wRi8ViQJXGkJGBKPXJJ5+gaZqsF+hnJpOJyZMn849//IODBw9GPj927FimTZvGrFmzmDRpEi+88AKzZs0ysNLBobOTQBa8img1fPhw3njjjWOCQGcbcVNTE88++yzbt283ojzDSBiIUk6nk9GjR8flqtaBdtttt1FcXMw3vvENqqurAXj//ffZvXs3M2fO5Pnnn+fqq6/GbrcbXGn0k7ZCEe0efvhhrr32Wu69914aGxuP+fp3v/tdkpKSKCsrM6A640gYiELhcJiVK1fKroMD6J///CfV1dXcdNNNTJgwgZ/85Cd85Stf4bTTTjO6tEFD13UJAyLqzZ49mwkTJlBeXs7cuXNZuXIl8H/HbtvtdiZMmMCWLVuMLHPASRiIQlu2bKGtrU3CwABKTEzkb3/7G3fccQfnnHMON954I/fff/9JdygU/6e+vh6v1ythQES1YcOGMXz4cF577TXmzJnDtddey89+9jNCoRAAtbW17Nu3j7S0NGMLHWCygDAKOZ1O0tPTGT9+vNGlxJWCggIKCgq47rrrjC5lUJJOAjEYnHXWWTzzzDNYLBaefvppzj33XO655x5ee+01rrzySj799FN27drFL3/5S6NLHVBy2xOFysrKmDVrltyVRhE50OjkXC4XFouFYcOGGV2KEMc1fvx4ampq8Hq9AFx11VWsX7+ekpISXn75Zfx+Pz/72c8YNWqUwZUOLBkZiDI1NTXs3buX//mf/zG6FMGhEKAoCuvWrZPNn07C5XJRUFAg+zGIqJabm8t5552H2+3G4XAAkJmZybPPPmtwZcaSW88o43Q6MZlMTJ8+3ehSBIc2IVq7di133XUX7777rtHlRDVZPCgGi7/97W9kZmYe8/nO9sJ4HAmUMBBlysrKmDJlSlzujR2tpk6dysUXX8wTTzwRaT0Ux5IwIAaLIUOGdDkN2/m5eNwnQ8JAFOno6GDt2rWy0VCUURSF73//+6SmprJo0aJjzkAXh3bMbGpqkjAgxCAlYSCKfPbZZwQCAWkpjEJJSUksWbKErVu38rvf/c7ocqKOdBIIMbhJGIgiTqcz0t4mos/pp5/OnXfeye9//3vWr19vdDlRxeVyoSgKhYWFRpcihOgFCQNRQtd1nE6nTBFEudtuu43JkyezaNEi2trajC4narhcLvLy8rDZbEaXIkS3BYPBuFws2BUJA1Fi9+7d1NXVSRiIcqqq8vjjj+Pz+ViyZIm8kRwmiwfFYPTvf/+b0tJSo8uIChIGooTT6cThcDB58mSjSxEnkZOTw6JFi/joo4944403jC4nKkgYEIPRp59+yuuvv250GVFBwkCUKCsrY/r06XF1fvZgdv7553P11Vfzs5/9DJfLZXQ5hvL7/dTU1EgYEINOQUEB+/fvlxE+JAxEhebmZrZu3SpdBIPMfffdR25uLgsXLiQQCBhdjmE630ylk0AMNkVFRXi93i6PMo43EgaiwKpVq9B1nVmzZhldiuiBhIQEnnjiCVwuF88884zR5Rimc2RERgbEYNPZubV//36DKzGehIEoUFZWxoQJE8jIyDC6FNFDo0eP5p577uGVV16JnIseb1wuF0OGDCE5OdnoUoTokWHDhqGqqoQBJAwYLhQK8cknn0gXwSB23XXXMXPmTBYvXhyXw42yeFAMVp2nbEoYkDBguI0bN+LxeGS9wCCmKAqLFy9GURR+8IMfRA47iRcSBsRgVlhYSEVFhdFlGE7CgMHKysrIyspizJgxRpciTkFGRgY//OEPWb16Na+88orR5QyYcDhMRUWFhAExaHV2FMQ7CQMGczqdzJo1Ky5PyYo1M2bM4MYbb+SZZ55h586dRpczIKqqqgiFQtJJIAatoqIiKisrCYVCRpdiKAkDBqqoqGD//v0yRRBD7r77bk477TQWLFiA1+s1upx+J50EYrArKChA0zSqqqqMLsVQEgYM5HQ6sVgsnHXWWUaXIvqI1WrliSeeoK6ujp/+9KdGl9PvXC4XiYmJZGZmGl2KEL3SebhWvE8VSBgwkNPppKSkBIfDYXQpog8VFhbywAMPUFpayvvvv290Of2qc/GgTHOJwSozMxOHwyFhwOgC4pXX62X9+vUyRRCj5s+fz4UXXsjSpUupqakxupx+I50EYrBTFIWCgoK47yiQMGCQ1atXEwqFZH+BGKUoCgsXLiQpKYlFixYRDoeNLqnP6bpOeXm5hAEx6ElHgYQBwzidTkaMGEFeXp7RpYh+kpyczJIlS9iyZQsvvPCC0eX0ufr6erxer3QSiEGvqKhIwoDRBcQjTdNwOp0yKhAHzjzzTL7+9a/z/PPPs3HjRqPL6VPSSSBiRWFhIY2NjXg8HqNLMYyEAQO43W7OOecczjvvPKNLEQPga1/7GpMmTWLRokW0tbUZXU6fcblcWK1Whg0bZnQpQpwSObBIwoAhkpKSWLhwIZMmTTK6FDEATCYTS5Yswe128+STT8bM2ekul4uCggJUVd5GxOAm7YUSBgyhqqq0YsWZ3NxcFi5cyPvvv8/y5cuNLqdPSCeBiBUOh4PMzEwJA0KI/nfRRRcxf/58fvzjH8fEm450EohYEu8HFkkYEGIAPfDAA2RnZ7NgwQICgYDR5fRaW1sbTU1N0kkgYkZhYSHl5eVGl2EYCQP9LFbmh0XfSEhI4IknnmDv3r38+te/NrqcXpNOAhFrOkcG4vU9W8JAPztybUC8/iUTRxs7dizf+ta3ePnll/nkk0+MLqdXXC4XqqpGFl4JMdgVFBTg8/mor683uhRDSBjoRzfffDMtLS2R/1YUBb/fj6ZpxhUlosINN9zA9OnT+cEPfkBTU5PR5fSYy+UiLy8Pq9VqdClC9Il47yiQMNBP3nnnHVasWEFaWhpwaLHVPffcwx133BFZVS7il6qq/PCHP0TXdRYvXjzoRo2kk0DEmry8PEwmk4QB0bf+9Kc/MXfuXADeffddbrjhBlasWEFDQwPvvPMOt956K6+//rrBVQojDRkyhMWLF7Nq1SpeffVVo8vpEekkELHGbDYzfPjwuO0okDDQT9555x3uvvtuAJ599lkmTJiA0+lkxYoVbNiwgbPPPpvnnnsuJg+wEd03a9Ysrr/+en75y1+ya9cuo8vpFp/PR01NjXQSiJgTzx0FEgb6QUVFBc3Nzbz77rv861//Yv369Xzzm98kNzc3sl7gW9/6FtXV1YPmAiD6z7e//W2Ki4tZsGABPp/P6HJOav/+/ei6LiMDIubE814DEgb6gcfj4Stf+QqffPIJt956K6mpqSQkJABEtm7Nzs7m4MGDjBs3zshSRRSwWq0sXbqUmpoafv7znxtdzklJW6GIVQUFBVRXVw/qPUB6y2x0AbFo3LhxvPLKK9TX17N+/Xr27t2L3W4/6jFvvPEGo0aNMqhCEW2Ki4u5//77eeKJJ5g+fTrnn3++0SUdl8vlIjMzk6SkJKNLEaJPFRYWomkaVVVVcRd2JQz0E5PJxNChQ5k3bx5w9B4Df/3rX/nb3/7GAw88YFR5IgpdffXVrF69miVLljBhwgRycnKMLqlL0kkgYlXnOpj9+/fH3d9xmSYYIEduPjR//nxefPFFrr32WgMrEtFGURQWLVqE3W7nkUceidr9KKSTQMSq9PR0EhMT47K9UMKAARISEigpKYmsIxCiU0pKCkuWLGHDhg384Q9/MLqcY4TDYSoqKqSTQMQkRVEoLCyUMCD6h67rg25TGWGcKVOmcPvtt/Pb3/6WzZs3G13OUSorKwmFQjIyIGKWhAHRL1588UV+8YtfGF2GGGTuuOMOJk6cyKJFi3C73UaXEyGdBCLWxWt7oYSBfvbOO+/Q2tp61JoBIU7GZDKxZMkSWltbefLJJ6NmZMnlcpGUlMSQIUOMLkWIflFQUEBzczNtbW1GlzKgJAz0o9raWvbs2cPs2bONLkUMQnl5eSxYsIB3332XFStWGF0O8H+dBBJuRazqXA8Tb6MDEgb6kdPpxGQyMX36dKNLEYPUxRdfzOWXX85TTz3FgQMHjC5HOglEzMvPzwfi7/RCCQP9qKysjMmTJ5OcnGx0KWIQe/DBB8nMzGThwoUEg0HD6tB1nfLycukkEDEtISGB7OxsCQOib/h8Pj777DOZIhCnzOFwsHTpUj7//HN+85vfGFZHXV0dXq9XRgZEzIvHjgIJA/3ks88+IxAIMGfOHKNLETFg/Pjx3H333bz00kusWbPGkBqkk0DEi3jsKJAw0E/KysrIz8+noKDA6FJEjLjpppuYNm0ajz76KM3NzQP++i6XC6vVSl5e3oC/thADqaCggIqKiqjdBbQ/SBjoB7qu43Q6mT17tqy6Fn1GVVV++MMfEgwGefzxxwe83dDlclFYWBg5eVOIWFVUVITf76eurs7oUgaM/KvuB7t376aurk6mCESfy8rK4gc/+AEff/wxr7322oC+tnQSiHjROaIbT+sGJAz0A6fTicPhYPLkyUaXImLQOeecw7XXXsvTTz/Nnj17Bux1XS6XdBKIuJCXl4fFYpEwIE6N0+lk+vTpWCwWo0sRMeo73/kO+fn5LFiwAL/f3++v19raSnNzs4wMiLigqir5+fkSBkTvNTc3s2XLFmkpFP3KZrPx5JNPUllZOSBnX0gngYg3BQUFEgZE733yySfous6sWbOMLkXEuBEjRnDffffx+uuv8+9//7tfX8vlcqGqqnTHiLgRb+2FEgb6WFlZGePHj5eDXMSA+PKXv8yXvvQlHnvssX5d+exyuRg2bBhWq7XfXkOIaFJYWEhNTc2ATMNFAwkDfSgUCrFq1SqZIhADRlEUHnnkEWw2G48++mi/9UVLJ4GIN4WFhei6TmVlpdGlDAgJA31o06ZNeDweaSkUAyotLY3HH3+cdevW8cc//rFfXkM6CUS8ibf2QgkDfaisrIzMzEzGjBljdCkizpSUlPDVr36V3/zmN2zdurVPn7ujo4OamhoZGRBxJS0tjZSUFAkDouecTiezZs2SHdqEIe68807GjRvHwoUL8Xg8ffa8nW+GEgZEPFEUJa46CuSq1UcOHDhAeXm5TBEIw5jNZpYuXUpzczNPPfVUnz1vZ1uhTBOIeBNPHQUSBvqI0+nEYrEwbdo0o0sRcWz48OE8/PDDvPXWW7z11lt98pwul4usrCySkpL65PmEGCwKCwspLy83uowBIWGgjzidTqZOnYrD4TC6FBHn5s2bx6WXXsqPfvQjqqqqTvn5pJNAxKvCwkLa2tpobW01upR+J2GgD3i9XtatWydTBCJqPPzww6Snp7NgwQJCodApPZd0Eoh4FU8dBRIG+sCnn35KKBSS/QVE1EhMTGTp0qXs2LGD3/72t71+nlAoREVFhYwMiLgkYUD0SFlZGcXFxQwbNszoUoSImDhxInfddRcvvvgia9eu7dVzVFZWEg6HJQyIuGSz2Rg6dGhchAGz0QUMdpqm4XQ6ufzyy40uRYhjfPWrX+XTTz/l0Ucf5ZVXXiE1NfWYx1T7/Wz1eNjh9bLN7aYmEMCv65gVhUBjIzXnn8+OjAxSvF5GJSSgKIoBP4kQxoiXjgIJA6do586dNDU1yRSBiEqqqvL4449z3XXX8dhjj/HTn/4URVEIaRoft7byysGD/KulBe/hbYz1wyFAAXSgPRymY84cHqypwV5Xx+mJidyYk8NlQ4aQaDIZ+rMJMRAKCwt7PbI2mMg0wSlyOp0kJydz+umnG12KEF3Kzs7m0Ucf5T//+Q//+Mc/+LilhYs3b+aWHTt4s7ERBci2WMizWhlms5FjtZJttZJjteLwekn2+8m1WrEpCp+1tXHvnj2cs2EDf6qtRdN1o388IfpVYWEhlZWV/XbuR7SQkYFTVFZWxowZMzCb5Y9SRK9zzz2Xy669lu9s2gTZ2YRNJoaYzdhPslum3+/HbrejKgpJJhNJJhNBTaMuEODhfft4t6mJJcXFFCUkDNBPIsTAKiwsJBAIUFtbS15entHl9BsZGTgFDQ0N7NixQ6YIRNTb7/Px8YUX0jB9Oi2NjeR2IwgABAIBrDbbUZ+zqCo5ViupJhMfNDczf+tWylpa+qlyIYzV2VEQ65sPSRg4BStXrkRVVWbOnGl0KUIcl6ujgxu2b2dHRwfFKSngdlNXX3/S7wuGQmiahs1q7fLrDpOJPKuVhkCAOz7/nI+am/u6dCEMN3ToUKxWa8wvIpQwcAqcTicTJ04kLS3N6FKE6FJdIMDtn3/O3o4OhlqtJNrt5OTk0NzUhNvtPuH3Bvx+4FB71fGoikKu1UprOMy3d+9mXXt7n9YvhNFUVSU/Pz/m2wslDPRSIBBg9erVsuugiFq6rvPD8nJ2eDwMtVoxH24JTE9PJyk5merq6hPuTuj3+1EUBYvFcsLXURSFXIuFxmCQB/fuxX2KOx4KEW0KCwslDIiurV+/no6ODlkvIKLWm42NLG9sJNVsjgSBTnm5uSiKQnV19XG/3x8InHBU4EiKopBjsbDd6+XpyspTqluIaCNhQByX0+kkJyeHkSNHGl2KEMdoDYV4bP9+wrpOchf7AZhMJvLy8vB4PDQ2Nnb5HAG/H+tx1gt0xaKqOFSVP9TWsl6mC0QMKSws5ODBg/h8PqNL6TfSD9cLuq5TVlbGnDlzZDc2EZVKGxqo9PvJOcEQf2JiIkOGDKGuvp7ExESsJhMNf/87rStXEvZ48KelkXnNNdCDbbbTTCaqAgH+fPAgU5KT++JHEcJwnR0FFRUVjB492uBq+oeMDPTC/v37qaqqkikCEZU0XeflgwdR4ZjpgS/KysrCbrdTVVVF9W9/S+M775AycyZZN9yADjT/9rd4P/+826+tKAqJJhNvNjZSFwic2g8iRJToPLUzljsKJAz0QllZGTabjbPOOsvoUoQ4xmft7ezwekntxnbBiqIwLC8Pf3k5TStXkn3tteRcfz0Js2Zhve02rFlZ1P31rz16/VSTibZwmH82NPT2RxAiqqSkpJCamhrT6wYkDPRCWVkZ06ZN6/biKiEG0rr2doK6TkI3NhUCsFqtJB44QFjTME2dChxaL6BYLGScey4de/YQPM66gq6oigK6zqdtbb2qX4hoFOuLCCUM9FB7ezsbN26UKQIRtbZ4PKDrPVrPotTWYhk6lIMtLQSDQfx+P1aLhYTTTgPA18M3QZuqssHtlrMLRMyQMCCO8sknn6BpmoQBEZV0XWdDezvWbo4KdAq1tpI8dCgmk4mqqqpDYcBmw3z4yONQD7cbTlBVWkIhKg9vXCTEYFdYWMj+igraQyEaAgEag0G84bDRZfUZ6SboIafTyahRo8jJyTG6FCGO0aFpNIVCWHvY5aIFApgtFoYNG0b5/v1omkZWZiadz6L3cDGgVVFoD4ep9vspsNt79L1CRAtd19ngdrO6rY13CwtZe+utnLlmDcrhsK0qCjlWK1OSkpiQmMjMlBQmJCYOyi4zCQM9oGkaK1eu5Mtf/rLRpQjRpYCmoek6J186eDTVakUPhTBbLNjtdlpaWmhpacHb2kowEKCtowOtsRGzyYSp88NsxmQyYe5ioaKiKOiAX6YJxCDkCYdZ0djIywcPssntJqBphEwmAikpBEMhEg6vF9N0nf0+H3u8XlAU7KrKtORkrs/O5pKMDOzdWMQbLSQM9MDWrVtpbW2VKQIRtVRFQQF6cgnWdR3N4cBTXY13924UVSUrMxOT2YyvshJd1/FbLAQaGwkfZ1jU9IWQoJpMdNjtvP/uu7Q5HKSlpR31kZSUNCjvnkTs+1dzM4+6XOzx+VA41B2TefiI+p0eD9aUFJIdjmO+T9d1PJrGx62tOFtbGZ+YyNLiYqalpAzwT9A7EgZ6wOl0kpaWxsSJE40uRYgu2VUVVVEId+OO3Of309LSQltrK77kZLTt2xmWlkZaTg7q4WHQhjVr8NlsjJgxA8uQIQCEw2HC4TChw7+GQ6Fj/tsXDOIH3nrjDd7Zs+eY1zaZTKSmppKenn5MUOj8+OLX7DLdIPpRWyjEjyoq+MvBg/h1nWyzGcsX1t5YLBYCx5kyUxSFJJOJJJOJgKax1ePh+u3buX3oUL6bn48jykcJJAz0QFlZGTNnzoy8UQoRbayqSrHdzjaPp8uvh8Nh2traaGlpwefzYTabD11oL7mEqvXr0TdsQJ03DwAtGKS1rIyEESMiQQD+bxTgRBsVt4VC6MCHf/oTSUBra2tk6qGlpYXm5uaj/rulpYXKysrI17p6w7XZbMcNCl0FidTUVMzmwfsWp2ka3/3ud3n11Vcju0VmZmZy0UUXcd999xldXkypCwT42s6dfNbeTrLJxBCzucuRK5vNdtwwcCSrqpJnsdASDvNsdTVbPR7+d8wYUqP472P0VhZlamtr2b17N7fddpvRpQhxQpOTktj0heOJ3R4PrS0ttLe3owPJyclkZWWRlJR06AHZ2bSddRZ1f/sb4bY2LNnZtDqdBOrrKfza13pcg0/TOM3hIP3wdsiZmZlkZmZ263t1Xcfn8x0TFr4YIurq6ti1a1fkvzVNO+a5kpKSTjricORHcnJy1IT9cDhMTU0Np512GosWLWLbtm3U1dXhODxErWla1NQ6mNUHAtyyYwcb3W6yLZYTduJYrVbcxwnaX6QoCulmMwmaxr9aWvjazp38YexYkqM0EERnVVFo5cqVqKrKjBkzjC5FiBMal5gIioIvEKC9tZWW1lZCwSA2m43s7GxSUlO7XPSXd9dd1L/+euRsAlt+Pvn33Ydj7Nge1xDQdaZ0Bo0eUhSFhIQEEhISyM3N7db3aJqGx+PpcsThyI+Kigo2b958aHqki02RVFUlNTW121MXaWlpJCQk9Mv6h2AwiM/n45xzzmHevHnMOzxic2St4tQENI27du3qVhCAQ2Eg2Nzco9ewqypZFgvO1la+s2cPz48Zc2hjrigjYaCbysrKmDx5Msly+IqIYh0dHYTWrcOjaTT7fFgCgcjF7WRz7qrFQs7115Nz/fWnVENA01AVhS+lpZ3S8/SEqqokJyeTnJwcOVTmZMLh8DHTF119fP7555GQ0dHRcczzWCyWbk9fdH505zTIQCBAe3s7zz77LJ999hnFxcXcddddlJSUoPdwUynRtd9VV/NJWxuZ3QgCAFabDV3XCQSDWE9wCNgX2VSVDLOZ95qaeLWujhuisDVdwkA3+Hw+1qxZwze+8Q2jSxHiGLqus2XLFkpLS3nvvffwer0M/8Y3qC0upjg5ecAvGs2hEPk2GxdnZAzo6/aUyWQiIyODjB7U6ff7T7r+obm5GZfLFfl9KBQ65nkcR3RYXHLJJdxwww1dvt4NN9zATTfdhKqq/P3vf+fOO+/kl7/8JbNmzZJAcIq2eTw8U1WF9XBLYHd0hrhAINCjMADgMJloD4d5sqKC2ampUbf/hoSBbli7di2BQIA5c+YYXYoQEY2NjaxYsYLS0lLKy8sZOnQoN910E5dffjk7ExK4dedOfJpGwgCuYg7rOkFd5/rsbGwxOIzdOdWSnZ3drcfruo7X6z3uqENzczOpqamEw2FMX/j/lJaWxu233x75/GWXXcbcuXN5/vnnmTVrVpdBYNu2baSkpEj75knous6S8nJaQyGGdWOUppPFbEZRVQJ+PyQm9vh1sywWqgMBfnLgAM+MGtXj7+9PEga6oaysjGHDhlFYWGh0KSLOhUIhnE4npaWlOJ1OzGYz559/Pg8++CAlJSWReeQcXefs5GScra3kHW43HAh1wSDDbbaoHAY1gqIoJCYmkpiYyLBhw3r8/Z1BIBwOk52dzQUXXMDmzZvZv3//Me9H4XCYr371q+iH20pNJtNJpyvitX1zu9fL6vZ20o7TNdAVf2Ul9W+8QWDbNqq8XhoSE7ENG0bGvHkkT5nSredQD7cfvtPURJXfz7AoOuxOwsBJ6LqO0+nkvPPOk5QtDLNv3z5KS0t56623aGpqYvz48Tz44IPMnTuXlC42NTEpCk+MGMGVW7fSGAqR1cMhzd5wh8OoisIjRUVk9+BuS3RffX09Nputy5ZJRVF45ZVXjtu62dm+2fm1eG7f/FtdHR3hMBk9+HsabGxE8/lImDYNPTmZzJQU2j/7jMqnn2boV79K+vnnd+t5UkwmqgMB/l5fzz3Dh/f2R+hzg+//4gDbs2cPBw8elCkCMeDcbjfvvfcey5YtY9u2baSlpTFv3jzmz5/PyJEjT/r9ox0O7hs+nMXl5bjDYZL6cbogoGm0hEJck5XF/CP2JBC99+KLL1JQUMCcOXMIhUK8+uqrvPzyyzz99NNddlmoqtqtvxcQ3+2bvnCYNxoasKtqj27wks44g6QzzqC+vp6W1lYyRo4k/aKLcD36KE3vvNPtMKAqChZF4dW6Or49bFjU3GRKGDgJp9NJQkICkydPNroUEQc0TWP9+vWUlpbywQcfEAqFmDlzJj/+8Y+ZM2cOlh7e4d82dCjbPB7+WleHAiT2QyAIaBp1wSBTk5NZUlwcNW9ug92uXbt45JFH6OjoICcnB4vFwkMPPcRtt912yhfT3rZvut3uk3ZfRHv75q6ODlpDIZJ7+W/BarUSCgYj+zxYMjLo2LevR8+RaDJxMBCg0u8nP0qmZiQMnERZWRnTp0/vViuQEL1VW1vL8uXLWb58OdXV1RQUFHDHHXdw2WWXkZWV1evnNasqPz7tNIK6zj8aGgjqOqkmU5+9sXrDYZpCIaYkJ/PCmDFkDMB0RLxYsmQJ3/3ud6mpqaGlpYXExESmTp1qWD2qqpKSkkJKSkqft2/u3Lkz8vsTtW92t3XzRO2bO7xeApqGrZfTG2ZA93jwVFUR3LYN96ZNpEyf3qPnsKsqbcEgO7xeCQODQUtLC1u2bOGRRx4xuhQRgwKBAP/+979ZtmwZa9aswW63c9FFF3HllVdy+umn99kF26qqPD1yJFkWC3+sraUmGCTbYsF8Cs+v6Tr1wSAacEF6Or8cNYohEgT6lKqqZGVlnVIYNFq0tG8e+fGfoiJ8aWm4A4HIwVqdp3F2R+vf/47/7bfZb7ViMptJLilh6M03d/vnAyL/9nZ6vcyNkhZcCQMnsGrVKnRdZ9asWUaXImKEruvs3LmT5cuX8/bbb9Pe3s6ZZ57JI488woUXXhjZaravWVSVxcXFnJuWxiMuF3s6OrCqKmkm0zGHsZxIWNdpC4fxhMNkWSw8UFDAjTk5mGRqQPSRvmzfPDJEVFdXs337dtaHw7jHjCHQ2nrMc33x9E1zF79PPPdcrEOHkgwoO3aApqEf5zTPk2kKBnv1ff1BwsAJOJ1Oxo8fzxBZECVOUUtLC2+//TalpaXs3r2bzMxMvvKVr3DFFVd0e8i1L5ybns6bycn8rrqaV+rqqA0E0HUdh8mEXVWxKcpRbYi6rhPQdXyahlfT0Dh0pOtNOTncPWwYxQkJA1a7EF3pafvm13fuZEVjI0Nzck56+mZHRwfBYJDQ4a/pun7oyO+hQ8kfOZKUefOoeOopDvz85xQtXtyj0bzOf1vRQsLAcYRCIVatWnXcncGEOJlwOMzq1aspLS3lP//5DwDnnHMO3/rWt5g+fXq3hyX7WqrZzAMFBdw9bBhvNTbyen09mzwe3OEwTZqGoih0vqVpuo5ZVUlQVU5PTOSqrCyuzsyU1kExaNlUFZ3/GwWwAMFAAD//dzx3wO/HHwigHb7jV00m7HY7FosFs8WC2WSKtPQmn3UWtS++SKC2Fls3F2N2OpWpur4mYeA4Nm/ejNvtZvbs2UaXIgaZiooKli9fzptvvkl9fT0jR47knnvu4dJLLyU9Pd3o8iIcJhNfyc7mK9nZ+DWN3V4vO7xemkIh/JqGRVFINpkY7XAw1uEgZRD2kwvRye12s3//fuqrqvAqCpX19fgDgUP7LRy+Q1dVFZvNhtVmIzk5GavNhs1qxWK1crzLtn54qF/zentUj6IopBh0Q9AV+dd9HGVlZQwZMoSxvTixTcQfr9fLhx9+SGlpKRs2bCA5OZlLLrmE+fPnM3bs2Khvt7OpKhOTkpjYy5MGhYgGuq5TV1dHeXk5LpeL8vLyyEdDQwMAjSUlBC6/HJumkZSYiDU9PRIAujrNs1OotRVzaurRrxcK0ep0olgs2Hqww6R2eLphdD+tEeoNCQPH4XQ6mTVrlhwTKo5L13U2b97MsmXLeP/99/H5fEybNo2lS5dy7rnnYouirUaFiCWBQIADBw5ELvSdF/79+/dHWhOtVisFBQUUFRVx1VVXUVRURHFxMQczMrhxzx7STKYenZ9R+4c/EPb5cIwejSUjg1BrK62rVhGoqSH7+utRe9Ai6NM07CYT4yQMRLfKykpcLhff/OY3jS5FRKGGhgZWrFjBsmXLqKioIC8vj1tuuYXLL7+82xu4CCFOrrW19ai7+86LfnV1dWQ3xLS0NIqKihg7diyXXHJJ5KKfm5vb5c1cbiiEQ1XxalqPwkDK9Om0/PvfNH/0EWG3G1NCAvbCQrL/+7+7fTZBJ6+mkWY2MyKKFuBKGOhC5wEwZ599ttGliCgRDAYpKytj+fLlrFy5ErPZzAUXXMD3v/99pk6dKiNIQvSSpmnU1NQcddHvvPC3tLQAh+by8/LyKCoq4txzz6WoqCjykZaW1qPXSzGbmZuRwWt1daT1YAOulOnTe7y5UFf0w905V2dmRlVLroSBLjidTqZOndpvPd9i8Ni7dy/Lli3jrbfeoqWlhQkTJvDQQw8xd+5ckpOTjS5PiEGjo6ODioqKYy74FRUVkUOT7HY7hYWFFBcXc/bZZ0cu+AUFBX26C+x12dksa2gY8CO+AdyahsNk4r+6uY/CQJEw8AVer5d169bxne98x+hShEHa29t59913KS0tZfv27aSnp3PZZZcxf/58TjvtNKPLEyJq6bpOU1PTMXf55eXl1NTURB43ZMgQioqKOPPMMyPz+UVFRWRnZw/IKNuMlBTGOhxs8XjI6+GBRadC13VaQyHOS0tjfGLigLxmd0kY+II1a9YQDAalpTDOaJrG2rVrKS0t5aOPPiIUCjF79mx+8pOfMHv27B4fECRELAuHw1RVVR2zYr+8vJz29nbg0NB+fn4+RUVFXHzxxZELfmFhoeGjaqqi8HBBAbfv3ElbOEzqALXNNodCJJlMPDCAG411l4SBLygrK6OoqIjhUXTOtOg/1dXVvPnmmyxfvpyamhoKCwu56667mDdvHpmZmUaXJ4ShPB4P+/fvP+aif+DAgch5AImJiZEL/Ze+9KXI74cNGxbVIfr89HSuy87mxdpaEk2mft8AKKBpdGga9+XnMyUKpxglDBxB0zScTifz5s0zuhTRj/x+P//6178oLS1lzZo1OBwO5s6dy/z585k0aVLU7wkgRF/SdZ36+vpjVuyXl5dTX18feVxOTg5FRUVMmzaNa6+9luLiYoqKihgyZMig/TfzcEEBK1tb2d3RQZ7VetRW3H0ppOvUBYNMTk7mWz3Yj2AgSRg4wueff05jY6NMEcQgXdfZsWMHpaWlvPPOO7jdbqZMmcLixYu54IILSIiiFh8h+kMgEKCysrLL3nzv4d3zLBZLpDd//vz5kTa9goKCmFxQnWax8LsxY7hpxw6q/H5yrdY+X+Ef0nVqAwFGJiTw29GjB3zBYndJGDhCWVkZSUlJnHHGGUaXIvpIc3Mzb7/9NsuWLWPv3r1kZ2dz7bXXcvnllw/oAUFCDJS2trYue/OrqqoivfkpKSkUFxczevRo5s6de9TQfry1yY5LTOTFsWP52uefU+HzkWmxYO+jPwNvOExTKMQYh4M/jB1LQQ82JhpoEgaO4HQ6mTFjBmbZg31QC4fDfPLJJ5SWlvLxxx8DcO655/Kd73yH6dOnx92bnYg9mqZRW1vbZW9+c3MzcGjv+87e/HPOOeeo3vxoOiMjGkxKSuLV8eN5YO9ePmlrw6IoZJrNvZ7+0HSd+mAQDZibkcGPRowgL8p3JJWr3mGNjY1s376d6667zuhSRC9VVFRQWlrKm2++SUNDA6NGjeLee+/lkksu6fHGJEJEA5/Pd0xvfudHZ2++zWaLXOTPOuuso3rzZUvs7huRkMCr48fz+9panj5wgKpAALuqkmY2d3txYVDTaAmH8WsaWVYrD+Xnc0NOTr+tRehLEgYOW7lyJYqiMHPmTKNLET3g9Xr54IMPWLZsGZs2bSIlJSVyQNCYMWMG7cImET90Xae5ufm4vfn64RP1MjIyKCoqYtKkSVxxxRWRi35OTo6MdvURi6pyZ14eF6an8+eDB3m9vp6DwSC6rmNVVRIUBZuq/t8R34Bf0/BpGgFdR1UUhlqtXJedzfXZ2eRH8bTAF0kYOMzpdDJp0iS5gxwEdF1n48aNLF++PHJA0Nlnn80TTzzBueee26c7lQnRVzp787u66Le1tQGHevOHDx9OUVERF1100VG9+SkpKQb/BPHjtIQEHi0q4t7hw3mzsZHVbW2sb2+nNhCgORyOBDRVUbApCiMSEpicnMzs1FQuzcjAEaWLBE9EwgCHVtmuXr2ar371q0aXIk6grq6OFStWsHz58sgBQbfeeiuXX345Q4cONbo8IYBDo1VdXfArKioivfkOhyNyoZ89e3akTW/48OFR3Zsfb1LMZm7IyeGGnBwA6gMBKvx+fJqGAthVlSK7nYwY+H8mYQDYsGEDXq9XWgqjUCAQoKysjNLSUj755BMsFgsXXHABCxcuZPLkyTI8Kgzxxd78Iz/q6uoij8vOzqaoqIiSkhK+8pWvRC76mZmZMoU1CGVZrWTF6MijhAEOTRFkZ2czatQoo0uJWZ9++im//vWvqaurY8aMGdx2223k5+cf9/F79+7ln//8J2+99Ratra1MmjSJhx9+mLlz55KUlDSAlYt4FgwGOXDgQJcX/c7efLPZHOnNv/zyyyO9+YWFhTHZmy9iU9yHAV3XKSsrY86cOZLU+8H27dt56KGHWLNmDZdddhnnnXcev/jFL1i3bh2/+tWvutz2WdM0/v73v/PBBx8wf/58rrjiCkaMGGFA9SJefLE3v/OjsrLyqN78oqIiRo4cyYUXXhi56Ofl5WEahHPEQhwp7sNARUUFlZWV3H///UaXEpNUVWXGjBn85Cc/YezYsQBMmTKFyy677IRvoN/85je57777ZM8H0WeO15tfXl5OU1MTcKg3Pzc3NzKX/8XefLlhELEq7t9py8rKsFqtnHXWWUaXEpNGjRrFnXfeyZAhQyKfq6qq4stf/vJxOzdUVZWpANFrfr+f/fv3H3PB379/P36/HzjUm19YWBiZzz+yN98+iNrBhOgrEgbKypg2bZq8AfQTk8kUCQIffPAB3//+91m3bh2XXHIJv/zlL7nnnnvkXADRY7qu09LS0uURul315k+cODEyn19UVMTQoUNl8akQR4jrMNDe3s7GjRt54IEHjC4lLuzZs4fp06fz1FNPsWXLFp599lnKy8t59tlnZc5VdCkcDlNdXd3lRb+r3vzOufzOD+nNF6J74joMrF69mnA4LC2FA+Suu+6K/P7888/H6/VSWlrK7t27I+sJRHzyer3s37//mIv+gQMHCAaDwLG9+Z2/Hz58uGw0JcQpiuswUFZWxsiRI2XDmj4SDodZs2YNZ5999jFDsLquRxZfhUIhzGYzNTU11NbWyp+/QYLBIDt37mT9+vUUFBQwZ86cfl2wqes6DQ0NR52k153e/M6LflZWlizgE6KfxG0Y0DSNVatWcfXVVxtdyqBXXl5OaWkpK1asoLGxkf/93/9lypQpRwUCRVEIh8OYTCbMZjNvvfUWW7Zs4aGHHpItoA3Q3NzMY489xnvvvceOHTu44oormDp1ap8MqweDQSorK486Sa87vfmd2+4mJiaecg1CiJ6J2zCwdetWWlpamDNnjtGlDEoej4f333+f0tJSNm/eTEpKCpdeemnkgKCu/PSnP6W6upp3332XxsZGvv71r3P99dcPcOUCDi3sLCws5LnnnuMf//gH//rXvyIr7burvb39qLv7zov+kb35ycnJFBcXH9WbX1RUxLBhw2SdiBBRJG7DgNPpJDU1lYkTJxpdyqCh6zobNmygtLSUDz74AL/fz4wZM/jRj37EOeecc9J52wsvvJBf/epXfP/73+fWW28doKpFV1JSUrj33nsBaGpq4oUXXqC1tZWsrKzjfs/rr7/O7t27Ixf+zt58gLy8POnNF2IQi+swMGvWLGkv6oa6ujrefPNNSktLqaysZPjw4dx+++1cdtll5Bw+wKM7pk6dyu9///t+rFT0xvjx42ltbaW+vp6RI0ce93Fvv/02Xq+X4uJipk6dKr35QsSQuAwDBw8eZNeuXXJK4QkEAgE+/vhjSktLWb16NVarlQsvvJBHH32UyZMny91eDBkxYgSqqlJZWXnCxz333HMSnoWIUXEZBlauXImqqkyfPt3oUqLOrl27KC0t5a233qKtrY3TTz+dBQsWcNFFF8nCrkFC07RIb34wGOT8888/4WNVVSUrK4s9e/ZEFnl2RYKAELErLsNAWVkZZ555pmxIclhbWxvvvPMOy5Yt4/PPPycjI4OrrrqKK664guLiYqPLE8fh9XqpqKg4pk2voqIi0ps/cuTIboWB0aNH8/nnnxMKhWRhnxBxKO7CgN/vZ82aNdx5551Gl2IoTdP49NNPWb58Of/617/QNI05c+Zw5513MnPmTDkgKErouk5jY2OXvfkHDx6MPC4rK4uioiKmTJnCNddcQ3FxcaQ3/0Q6p3umTJnCunXrqKurw2azYTabycjI6NefTQgRPeLuHX/t2rX4/f64bSmsrKxk+fLlLF++nLq6OkaMGMHdd9/NvHnz5M3fQKFQKNKb/8WLvsfjAQ61A3b25s+bNy9yhO6p9OZ//vnnfPDBB6xatYrPPvuMCRMmYLfbWbJkCXfccUdf/ohCiCgWd2GgrKws0gYVL3w+Hx999BHLli1j3bp1JCYmcvHFF3PllVcyfvx4WQw4gNxu93F788PhMABJSUkUFxczYsQIzj///KN68/t6xMbpdPLkk09y7rnncuutt3LaaacxceJEhg0b1qevI4SIboreebzXCbS1tZGamkpra+ugnmfXdZ0rrriCL33pSzF/OJGu62zdupXS0lLeffddvF4vZ511FldccQXnn3++tIL1I03TqKur6/Ki39jYGHlcbm7uUT35nR8ZGRkS0IQQfaK71++4GhnYu3cvtbW1MT1F0NTUxIoVKygtLcXlcpGTk8ONN97IFVdcQV5entHlxZRAIEBFRcUxp+mVl5fj8/kAsFqtFBYWRubzj+zNl6ObhRDRIq7CQFlZGQkJCUyZMsXoUvpUKBRi5cqVlJaWUlZWhtls5txzz+V73/seZ511lrSEnaKWlpYuL/jV1dWRbXfT0tIoKipi3LhxXHrppZGLfm5urvz5CyGiXlyFAafTydlnnx0zx53u27eP5cuXs2LFCpqamhg3bhwPPPAAF1988aCezjGCpmnU1NQcs3ivvLyclpYW4FCffed6k/POO++ow3XksCUhxGAWN2GgtbWVLVu2sHDhQqNLOSUej4f33nuP0tJStmzZQmpqKvPmzeOKK65g9OjRRpcX9To6Oo7bmx8IBACw2+2RC/2MGTMiv8/Pz4+ZICmEEEeKmzCwatUqNE1j1qxZRpfSY5qmsWHDBpYtW8aHH35IMBhkxowZPPXUU8yZM0cuUF+g6zpNTU1dHqFbW1sbeVxmZiZFRUWceeaZXH311ZGLflZWlgztCyHiStyEgbKyMsaNG0dmZqbRpXTbwYMHIwcEVVVVkZ+fz9e//nUuu+wysrOzjS7PcKFQiKqqqi4v+m63GzjUm5+fn09RURGXXHLJUb35SUlJBv8EQggRHeIiDITDYT755BOuu+46o0s5qUAgwL///W9KS0v59NNPsdvtXHjhhSxevJgzzzwzLlvO3G43+/fvP+aif+DAgUhvfmJiYmTXvXPPPTdy0e+P3nwhhIg1cfEuuWnTJtrb26O6pfDzzz9n2bJlvPPOO7S1tXHGGWfwyCOPcOGFF+JwOIwur9/pun7c3vyGhobI44YOHUpRURHTp0/nuuuuiwztDxkyJC6DkhBC9IVBHQY0Xafc52OH18sOj4d9Ph/ucBgdcKgqIxISGOdwsGbNGtKHDGHs2LFGl3yU1tZW3n77bUpLS9m1axeZmZlcffXVzJ8/n8LCQqPL6xeBQIADBw502arX0dEBHOrN79x296qrrjqqNz8egpEQQgy0QbkDYVMwyLKGBv5y8CB7fD58mobCoXDQuexLA1RFQdd12hobydI0vj9tGldnZpJt4II7TdNYvXo1paWl/Oc//0HTNL70pS8xf/58ZsyYETMnxrW1tXXZpldVVRXpzU9NTY0M7R/5kZeXJwv4hBCiD3T3+j2owoAnHOaZykr+dPAgTaEQKpBiMmFXVUzHGSL2BwLsqaggKScHs81GqsnEtdnZ3J+fT+oAziUfOHCA5cuX8+abb1JXV8dpp53GlVdeyaWXXkp6evqA1dGXOnvzu7rLb25uBg6ditfZm//FC7/05gshRP+Kue2I17S1sWDfPrZ6PCSoKkMtluMGgCN5PR5MoRD5iYnoikJrKMTvqqv5V3MzjxUXc14/Xog7Ojr48MMPKS0tZf369SQlJXHJJZcwf/58xo0bN2jmuH0+X5e9+fv37z+qN79z292zzz77qKF9aX0UQojoFvUjA7qu89vqan5y4ABeTSPLbMbagyHkigMHQNcpKCiIfC6k6xwMBrEpCt/Iy+OBggLUProw67rOli1bKC0t5b333sPr9TJt2jTmz5/Peeedh81m65PX6Wu6rtPc3NzlEbo1NTWRxw0ZMuSou/vOu/3s7GwZ2hdCiCgTEyMDuq7zi8pKflFZiQnIs1h6dDetaRpej+eYnnyzopBnsdASDvPLqirc4TA/LC4+pUDQ0NDAW2+9xbJly9i/fz+5ubncdNNNXH755VF1QFA4HD5ub357eztwaNvdzt78uXPnHtWbn5ycbPBPIIQQoq9FdRh4vqaGX1RWYlUU0nsxv+/xetF1naQuLmDK4edsC4X4fW0tSSYTD/VwBX8oFMLpdFJaWorT6cRsNnP++efz0EMPUVJSYuidssfjOW5vfigUAsDhcETu7M8555yjevMtFothtQshhBhYURsGNra38+MDB1ChV0EAwN3ejtVqxXqCC1uK2Uw4FOJ/a2qYkZrKOd1Y1LZv3z6WLVvGW2+9RXNzM+PHj+fBBx9k7ty5AzqNous69fX1xyzec7lc1NfXRx6Xk5NDUVER06ZN49prr41c9KU3XwghBERpGPCFwyxwuXCHQuSdwuIzt9tNSmrqSR+XZjJRHQyyyOXizUmTSOkifLjdbt577z2WLVvGtm3bSEtLY968ecyfP5+RI0f2usbuCAQCVFZWHnPB379/P16vFwCLxRLpzZ8/f/5RJ+pJb74QQogTicow8FxNDRvcbjJ7uEbgSD6fj1AoRHI39p9XFIVsi4VdXi+/OHCAHxQXA4fWHKxbt47S0lI+/PBDQqEQM2fO5Mc//jFz5szp86H0tra2Ltv0KisrI735KSkpFBUVMXr06Mh8fmdvfqzsUSCEEGJgRV0Y8IbD/KG2FgtgO4U5d7fbjaqqJHTzrtiiKDhUlVfr6/mKxcKqt99m+fLlVFdXU1BQwJ133sm8efPIysrqdU1wKGDU1tZ2edFvamoCDoWT3NxcioqKmDNnzjG9+TK0L4QQoi9FXRh4p6mJ2kCArFPcEKihtBT/e+/hKi5mxJNPnvTxuq6jdnSw3+/nshdfpGDrVi688EKuvPJKTj/99B5fgP1+/1EL+I786OzNt9lskd78s84666je/GhtQRRCCBF7oi4M/OXgQQAspzAq0FFfT8cHH2BNSDjpY30+Hy0tLbS2taGFwyhDhpByzTW89ZOfkJSYeMLvPbI3/4sfNTU1dG7hkJGRQVFRERMnTuTyyy+PrODPycmR3nwhhBCGi6ow0BIMssnjIfEUL5DVf/oTan4+icnJaB7PMV8Ph8O0trbS0tqK3+fDbDaTnp5OWmoqQZMJt67ToKokHfH4I3vzj/xoa2sDDvXmDx8+nKKiIi688MKjevOj4TwHIYQQ4niiKgzs8HrxhcO9biUE8O7ciXvtWpK+/W2Ujz466mtuj4eWlhbchzfXSUpOJjs7OzICoGkaQb+flmCQn7z2Golbt1JeXk5FRcVRvfmdw/mzZ8+OXPSHDx8uvflCCCEGpagLAyFdx9LLBXK6plH7pz+hnnkmqaNH4/noIzRNo66+ntaWFkKhEDabjSFDhmC32wmFQrjdbpoaG/EHAoSCQQACKSl8tGcP57ndlJSU8JWvfCUSALKysmQBnxBCiJgSVWGg0u9HgV5fbJs//BBfXR3q1VejaRpt7e2E2tvx1dVhtViwWK0Eg0EaGhrg8OtYrVasNhtpqalYrVZsNht1wMU338zTo0b13Q8nhBBCRKmoCgM+TUPvZRAIu900/OMfOC66iCZVpaqyEj0YROHQhjydF/ojfz3eaXomv5+Ow339QgghRKyLqjBwKoPvda+9hikpicJrrkGpribR4aA1JQXdYmHk6NE9ei79FGsRQgghBpOo6mtLUNVeXYQDtbW0/PvfpF90EcHmZnITEkjRdUy6jhIOE6ivJ+x29+g5E2U3PyGEEHEiqkYGiux2NF1H1/UerRsINjeDrnPw5Zc5+PLLx3x97/33kzF3Ljk33dSt51MVhWK7vduvL4QQQgxmURUGxiUmYlVVArqOrQdhwDZ8OMO/851jPl//+utoPh85N92EJTu7W88V0nWUw7UIIYQQ8SCqwsBYhwO7qtKhaT06l8CcnEzy1KnHfL7pnXcAuvza8XRoGnZVZZyc9CeEECJORNWagUSTiVmpqXgMXMnfHg4zITGR3FM4OlkIIYQYTKJqZADg+uxs3m9qwt/D0YGuFC5c2KPHB3UdHbgpJ0c2FhJCCBE3ompkAOC8tDSK7HaaDm//O5CaQyGGWizMy8gY8NcWQgghjBJ1YcCiqtyVlweANxwesNf1axpBXef23FySTvH4ZCGEEGIwibowAHBDTg7npqXRFAqhHT4GuD/puk59MEhJUhJ3Hg4iQgghRLyIyjCgKgpLiovJslo5GAyi93MgqA8GSTWbeWLECKynuE5BCCGEGGyi9spXnJDAj0aMwK6q1PVjIGgIBlEVhUeLipiUlNQvryGEEEJEs6gNAwCXDRnCjw7frdcGg306ZaDrOgcDAQAWFhZyY05Onz23EEIIMZhE/Uq5/8rOJtFk4qF9+6gOBMgwm3Gc4rkBPk2jIRgk3WLhB4WFXCdBQAghRByL+jAAMG/IECYkJvKIy8WHzc20hsOkm83Yezi/79c0mkMhNGB2aipPjBjBaNlpUAghRJwbFGEAoNBu58WxY/lrXR2/ra5mT0cHYV3HYTJhV1VsioL6hY2CdF3Hr+v4NA2PpqFy6DCkr+XmcnNODhZZLCiEEEIMnjAAh7oMrs/J4b+ysvi4tZVXDh7E2daGOxymUdMOhQFdR1cUFA6FAYuq4lBVLkxL44acHC5IT5eOASGEEOIIgyoMdDKrKuenp3N+ejq+cJjdHR3s8Hop9/nwHT7XwKaqFNhsjHM4GO1wnPI6AyGEECJWDcowcCS7ycSkpCRpCxRCCCF6ScbLhRBCiDgnYUAIIYSIcxIGhBBCiDgnYUAIIYSIcxIGhBBCiDgnYUAIIYSIcxIGhBBCiDgnYUAIIYSIcxIGhBBCiDgnYUAIIYSIcxIGhBBCiDgnYUAIIYSIc906qEjXdQDa2tr6tRghhBBC9J3O63bndfx4uhUG2tvbAcjPzz/FsoQQQggx0Nrb20lNTT3u1xX9ZHEB0DSN6upqkpOTURSlTwsUQgghRP/QdZ329nby8vJQ1eOvDOhWGBBCCCFE7JIFhEIIIUSckzAghBBCxDkJA0IIIUSckzAghBBCxDkJA0IIIUSckzAghBBCxDkJA0IIIUSc+/8TTj1qd2J14wAAAABJRU5ErkJggg==",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# Defining a graph\n",
+ "n = 6\n",
+ "list_edges = [(0, 1,10), (1, 2,20), (2, 5,30),\n",
+ " (0, 3,5), (1, 5,9), (3, 4,1),\n",
+ " (0, 4,3), (2, 3,12), (4, 5,5),\n",
+ " (0, 5,3), (2, 5,2)]\n",
+ "num_participants = sum([t[2] for t in list_edges])\n",
+ "print('Number of participants: ',num_participants)\n",
+ "G = nx.Graph()\n",
+ "G.add_weighted_edges_from(list_edges)\n",
+ "colors = [\"c\" for i in range(n)]\n",
+ "draw_graph(G, colors, nx.spring_layout(G))\n",
+ "plt.show()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "id": "QJRRn0W57BnC",
+ "metadata": {
+ "id": "QJRRn0W57BnC"
+ },
+ "source": [
+ "# Classic Brute Force Calculation\n"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 36,
+ "id": "_LFTRAg1uCKw",
+ "metadata": {
+ "colab": {
+ "base_uri": "https://localhost:8080/",
+ "height": 1000
+ },
+ "id": "_LFTRAg1uCKw",
+ "outputId": "e8a149ec-7ed5-4f62-abbb-755417ae2adc"
+ },
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "The events will be scheduled as follows\n",
+ "Saturday: 0, 2, 5\n",
+ "Sunday: 1, 3, 4\n",
+ "Expected No. of participants: 64.0\n"
+ ]
+ },
+ {
+ "data": {
+ "image/png": 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",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {},
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "w = np.zeros([n, n])\n",
+ "for i in range(n):\n",
+ " for j in range(n):\n",
+ " temp = G.get_edge_data(i, j, default=0)\n",
+ " if temp != 0:\n",
+ " w[i, j] = temp[\"weight\"]\n",
+ "\n",
+ "best_cost_brute = 0\n",
+ "for b in range(2**n):\n",
+ " x = [int(t) for t in reversed(list(bin(b)[2:].zfill(n)))]\n",
+ " cost = 0\n",
+ " for i in range(n):\n",
+ " for j in range(n):\n",
+ " cost = cost + w[i, j] * x[i] * (1 - x[j])\n",
+ " if best_cost_brute < cost:\n",
+ " best_cost_brute = cost\n",
+ " best_event_schedule = x\n",
+ " # print(\"case = \" + str(x) + \" cost = \" + str(cost))\n",
+ "\n",
+ "colors = [\"r\" if best_event_schedule[i] == 0 else \"c\" for i in range(n)]\n",
+ "print_explanation(\"\".join(map(str,best_event_schedule)),best_cost_brute)\n",
+ "draw_graph(G, colors, nx.spring_layout(G))"
]
},
{
"cell_type": "code",
- "execution_count": 29,
+ "execution_count": 38,
"id": "dXVbWoV70PgU",
"metadata": {
"id": "dXVbWoV70PgU"
@@ -166,7 +332,7 @@
},
{
"cell_type": "code",
- "execution_count": 30,
+ "execution_count": 39,
"id": "osfKFhU5hKy7",
"metadata": {
"id": "osfKFhU5hKy7"
@@ -188,31 +354,7 @@
},
{
"cell_type": "code",
- "execution_count": 31,
- "id": "adxvK8v5OWSn",
- "metadata": {
- "id": "adxvK8v5OWSn"
- },
- "outputs": [],
- "source": [
- "def add_hwe_ansatz2(qc: QuantumCircuit, repetation_count=2) -> QuantumCircuit:\n",
- " n = qc.num_qubits\n",
- " theta, phi = Parameter('theta'), Parameter('phi')\n",
- " params = [[Parameter(f\"param_{i}_0\"), Parameter(\n",
- " f\"param_{i}_1\")] for i in range(n)]\n",
- "\n",
- " for _ in range(repetation_count):\n",
- " for i in range(n):\n",
- " qc.rx(params[i][0], i)\n",
- " qc.ry(params[i][1], i)\n",
- "\n",
- " for i in range(n-1):\n",
- " qc.cx(i, i+1)"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 32,
+ "execution_count": 40,
"id": "VkPYHqMt77kT",
"metadata": {
"id": "VkPYHqMt77kT"
@@ -229,7 +371,7 @@
},
{
"cell_type": "code",
- "execution_count": 33,
+ "execution_count": 41,
"id": "02738e88-e97e-4d4f-bfa6-22f1ac449403",
"metadata": {
"id": "02738e88-e97e-4d4f-bfa6-22f1ac449403",
@@ -243,7 +385,7 @@
},
{
"cell_type": "code",
- "execution_count": 36,
+ "execution_count": 37,
"id": "843ac887-df56-4792-b590-ab2978874dc3",
"metadata": {
"id": "843ac887-df56-4792-b590-ab2978874dc3",
@@ -256,14 +398,14 @@
" for (x, y, w) in sparse_graph_list:\n",
" temp_pauli_string_arr = identity_pauli_string(n)\n",
" temp_pauli_string_arr[x] = temp_pauli_string_arr[y] = \"Z\"\n",
- " pauli_strings.append(\"\".join(temp_pauli_string_arr))\n",
+ " pauli_strings.append((\"\".join(temp_pauli_string_arr),w))\n",
"\n",
" return list(set(pauli_strings))"
]
},
{
"cell_type": "code",
- "execution_count": 35,
+ "execution_count": 42,
"id": "4hrBuD_-MMXT",
"metadata": {
"id": "4hrBuD_-MMXT"
@@ -276,7 +418,7 @@
},
{
"cell_type": "code",
- "execution_count": 37,
+ "execution_count": 43,
"id": "b22a1b00",
"metadata": {
"id": "b22a1b00",
@@ -315,49 +457,7 @@
},
{
"cell_type": "code",
- "execution_count": 43,
- "id": "ef19754c-3b6b-4191-ba46-d1acc1b3fc95",
- "metadata": {
- "colab": {
- "base_uri": "https://localhost:8080/",
- "height": 406
- },
- "id": "ef19754c-3b6b-4191-ba46-d1acc1b3fc95",
- "outputId": "cd7d437a-ca4e-4a14-890b-7745928d5e28",
- "tags": []
- },
- "outputs": [
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "# Defining a graph\n",
- "n = 6\n",
- "list_edges = [[0, 1], [1, 2], [2, 5],\n",
- " [0, 3], [1, 5], [3, 4],\n",
- " [0, 4], [2, 3], [4, 5],\n",
- " [0, 5], [2, 5]]\n",
- "\n",
- "elist = [(x, y, 1) for x, y in list_edges]\n",
- "\n",
- "G = nx.Graph()\n",
- "G.add_weighted_edges_from(elist)\n",
- "colors = [\"c\" for i in range(n)]\n",
- "draw_graph(G, colors, nx.spring_layout(G))\n",
- "plt.show()"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 53,
+ "execution_count": 55,
"id": "dmWynH3e7sPF",
"metadata": {
"colab": {
@@ -371,146 +471,35 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "['IIZIIZ', 'ZIIIIZ', 'IZZIII', 'IZIIIZ', 'IIIZZI', 'IIIIZZ', 'ZIIIZI', 'IIZZII', 'ZIIZII', 'ZZIIII']\n"
+ "[('ZZIIII', 10), ('IIIIZZ', 5), ('ZIIIIZ', 3), ('IIZIIZ', 2), ('ZIIIZI', 3), ('IIIZZI', 1), ('IIZIIZ', 30), ('IIZZII', 12), ('IZZIII', 20), ('IZIIIZ', 9), ('ZIIZII', 5)]\n",
+ "num_params 24\n"
]
},
{
"data": {
- "image/png": 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86U6RxEU6B3QOiIiInKOExoLCQsOr/j3IFkxFZTkAdrudiaPn0feK62vdxpKv55BfdJx5j31DWGg485c9ddGL1zVpFt2WzJ8vHgGyc9NpFt3WhVJ4wAWzQNZ0TBx1KHMnnVoZF3D7M75lYOIt2O12tu1dycOjZl207IfrZrP++6XMmvBF1UW1+JbOgZ/pHBAREQnMQQGspH69KIpKChxadlDSGJamvExJ6RkASkrPkJ6dBkCD8IYUFZ/fzuniPGKi4ggLDSf3VDZf7/qw6rucgmP8ZlaXavdxTffb2LR7GbmnsrHb7SzfPJ+hPrqjvXLrW4BxAZl6OIXu7a9xav2Zi+5jferHl3yeU3AMbDaaNmoFwKHsXbSP684PR7fQtnlXIupFVi370VdzWLtzETMfXn3ZdxLEc3QOnKdzQERE5FJ6QlPH3T7kaaYtHEG90PpVL0TX5K6h03iv/CyPzeuPDePO7Z3J04iPS2R4n/G8tPgBNqR9wi2DJjL26sf503u389DsRJo0bMmVnYdXbSen4BjBQdX/NFo06cD917/AE68NBqBnx6HcNOARD5X28iorK3j05SspKS1i4ui5VV1tHLUvYxtjfu5Sc6EDx3ZUda8BiAyPZtmm12nUoCmDEsdUfX4iP4MFy5+mRUwHnpmfDEBYSD3mTf7GpfKIY3QOnKdzQERE5FI2u91uNzsIMVSUwtq5ZkcBH6x7iZioFgzvc69L6ydPhuAw1/df3XFwZKSmy8kvPMGL79/DzAmrHV7nodmJvPToWhpHNnN4HXfL7m3Tl0JBMTSKgBfGmh3NpXQOGHQOiDfV9XpARMRZekIjl/j10Clmh+Bx0ZGxTl3IAbzxTJqXopG6TueAQeeAiIhYgRIasYTVL+lBogQ2nQMiIiLV06AAIiIiIiJiWUpoRERERETEspTQiIiIiIiIZekdmjokKNQYIcjqgkLdX9+qx8Hdsgc6K/+/v5DOAREREd9RQlOH2Gwa7hR0HAKZ/t8bdBxEREQcpy5nIiIiIiJiWUpoRERERETEspTQiIiIiIiIZSmhERERERERy1JCIyIiIiIilqWERkRERERELEsJjYiIiIiIWJYSGhERERERsSwlNCIiIiIiYllKaERERERExLKU0IiIiIiIiGUpoREREREREctSQiMiIiIiIpalhEZERERERCxLCY2IiIiIiFiWEhoREREREbEsJTQiIiIiImJZSmhERERERMSyQswOQM6z26GyzOwo3BcUCjab6+tb+Ti4W3YRK//+zwnkOgBUD4iI+JoSmjqksgzWzjU7CvclT4bgMNfXt/JxcLfsIlb+/Z8TyHUAqB4QEfE1dTkTERERERHLUkIjIiIiIiKWpYRGREREREQsSwmNiIiIiIhYlhIakQBgt0NBMVRUGv9dUQllFebGJCK+VV4BJ06drwcq7UbdICJidRrlTMRPnSqGLYfg0HE4mgunS85/V3gWpi2GFtHQJgZ6tIEuLSBItzhE/EalHfZnw84jRh2QlX8+mQGjTnhuCbSOgQ6x0K8jRNc3LVwREZcpoRHxM0dPwpe7YddR44KmJpV2OJZn/G0+CE0iYXBnuDoBwlQziFhWeQWs3w8b9sGJ05dftvAs/JBl/H2eCkmt4bpuEN/UN7GKiHiCLlv83HcH1/HM/OSLPgsPa0Dr2ASG9x7PmMGPERzsvz+DQCp/WQV8vgvW7HGtG8nJQli2w0hu7h4A7WM9H6OYI5DOg+oEUvmPnoT3N0FWgfPrVtqNGyGpR2FIFxjVUzc3RMQaVFUFiORed9Ovy43YsZN3OpvV377L/E+f4sjxPTx5+0Kzw/M6fy9/zml44yvIduEi5peOn4K5q+H6JLihu2Y89yf+fh7Uxp/Lb7cbT2b/893ln8w6tC3gqx8g7Rg8dC3ENfJIiCIiXqMe8wGic6veDO9zLyP6jOfXQ6cw97HNxDZqzWdb3iC/8ITZ4XmdP5f/pwIjAfFEMnOO3Q4rU2HpNr007E/8+TxwhL+W326H5TuNP3eTmQvlnIZ5q41uqSIidZkSmgAVEdaALu0GYLfbyTx50OxwfM5fyp9/Bv62xhgAwBtS9hl3fMU/+ct54Cp/Kf8XacbTGW8oOmvUMTm1vIsjImImdTkLYFk/N+AN68eYHIk5rF5+ux0WbTaSGkc9dQM0jDASoDmfO7bO6jRIaAGdm7sWp9RtVj8P3GX18qfnwH92ObeOs/VAYYnxXs6kERCkLqgiUgcFxBOanJwcpk6dSqdOnQgPD6dNmzY8/vjjFBUV8dvf/habzcarr75qdpheVVJ2hoKiHPILT3A4K5W5Sydy4NgOurTpR+vYBLPD8zp/LP/mg7A3y7l1GkYYw7I2jHBuvX9thrNlzq0jdY8/ngfO8Lfyl1UYiYaz3UJdqQcOnYCUvc7tR0TEV/z+Cc3OnTsZOXIk2dnZNGjQgG7dupGZmcncuXM5ePAgubm5APTq1cvcQL3s3VXTeXfV9Is+uzppLI/d+ppJEfmWv5W/pAz+vd13+ztZaHRpubGn7/bpaXlFxtC0xaUQGgxtmkC7JoE16IG/nQfO8rfyr9tjDOLhK8t3Qp94iAz33T49qbIS9mYbx6zSDpH1ILE11A8zOzIRcZdfJzQ5OTncfPPNZGdn8/TTTzN9+nSioqIAmDVrFtOmTSMkJASbzUaPHj1Mjta7RvWfwJAed1BeWcbhrFQWr5tJTkEGYaEWbZmc5G/l33rISGp8aeN+Y+SzkGDf7tdd6TnGOwZpxy69k926sTE87VXtAyOx8bfzwFn+VP6KStiw37f7LKuAbw7CsETf7tdd5RWw7gfjeOUVXfxdaLCRpA1PhKZRpoQnIh7g113OJk+eTEZGBpMmTWL27NlVyQzA1KlT6dmzJ+Xl5cTHx9OwYUMTI/W+Vk070zthOP26jOTO5Kn8+cFP2ZuxlVeWPGp2aD7hT+W3231/IQPGBHzfHfH9ft3x7WGYuwq+z6i+W05GntFlZ/E3nh0dqq7yp/PAFf5U/t3HnHt/zlM2HjCedFhFSZkxqMHynZcmM2AkaZsPwssr4cccn4cnIh7itwnNnj17WLx4MU2bNuXFF1+sdpk+ffoA0LPn+X405xKgfv36Ua9ePWx+ets2MX4Qw3uPZ913i0lL32h2OD5n5fJn5Xt2iGZnbP/RnP26Ym8W/N8mxxKVzQeNC55AY+XzwBOsXH6zzsWThXAk15x9O6vSDm+lwMHjtS9bdBYWrtNobiJW5bcJzaJFi6isrGTcuHFERkZWu0xEhPFG5IUJzYEDB1iyZAlxcXFcddVVPonVLOOGP0dQUDDvrPyj2aGYwqrlP2rixYSZ+3aG3Q7Ldjj31GXdHnPueJvNqueBp1i1/KbWAyfN27czfsh0buCUorNG91QRsR6/TWjWrFkDQHJyco3LZGRkABcnNEOGDCErK4tly5YxfPhw7wZpslZNO5Hc8y52HPiS1EMpZofjc1Ytv5kXMqeKocBLc954UnqO85MBVtph0wHvxFOXWfU88BQrlr+41NwnCVa5seFK19xv0+HMWY+HIiJe5rcJzY8/Gs/j27VrV+335eXlbNiwAbg4oQkK8ttDUq27hz1LkC2Id1ZZ6+6kp1ix/L4c1agu7t8RrnbH2Z7u0TAsw4rngSdZrfwnTO4WdcICdUBxqfGekbPKKuB7F9YTEXPZ7HZnR7C3hpiYGPLy8ti4cSMDBw685Pv/+7//49577yUqKoqCgoJq35V5/vnneeGFF3D3EPXt25fs7OxalwsLiWDhJBPe9vawCa92prTc9dv4Vj4O7pbdEUMfXUrT9v2q/e7chHk1aRgOQUHGS72nSi6/n5om3Vv/5niy9651ImLf63/Pa7TpOdrp9cpKTvHv6d28EJHjrPz7PyeQ6wDwfj3QtH1/hj66pNrvaqsDwPF6oKY6IO/Y93w59wYnIva9BjFtGTnNtfeidv3nf9j31d88HJGI1CYuLo5t27a5tK7fDtscFxdHXl4e27dvvyShycrKYsqUKQD06NHD6y/+Z2dnc+xY7bd8wkPrezUOX8nKzKSkzPWXEax8HNwtuyNKSmq+UDo3YV5tgoIcW646J47/5NDv2UxFha7dwi4rPWt62az8+z8nkOsA8H49YG/wU43fOVoHgOv1QOnZEtPPk9pElbje2yI/N6fOl09ELua3Cc3w4cPZs2cPM2fOZMSIESQkGLNAb926lfHjx5OTY4zP6IsJNePi4hxaLizEyenb66gWLVu6fXfWqtwtuyOC7KU1fneqll07+4SmOo2iwmnVqlUtUZqr4kzNF3yXU5z3o+lls/Lv/5xArgPA+/VAw6ia582prQ4A557QVMdWedb086Q2QcEhlJWcJjTc+cllgsty63z5RPyRo9fL1fHbLmcZGRn06tWLkydPEhISQpcuXSgpKeHAgQOMHDmSyspKVq5cycKFC3n44Yer3Yanupw5qqIU1s71ya68KnkyBLsx87KVj4O7ZXfEip2w2sWReJ6/1bgjm38Gnv/Y+fVtwF9+DfVCXdu/r+QVwZ/+Xf3cM5dz9wDo39E7MTnKyr//cwK5DgDv1wPlFTDtA2NyTVe4Ww9c2wVu7ePavn1pyVZI2efcOtH14bnREBxYr9OKWJ7fnrKtW7cmJSWFUaNGER4eTnp6OjExMSxYsIAVK1awb59Ry104IICIFbRpYt6+mzWs+8kMQOMGkOTkDdb6YXBl9WOIiNQpIcHQMtq8/beJMW/fzhic4Pw6gzopmRGxIr/tcgbQtWtXli9ffsnnhYWFpKenExQURFJSkgmRibiuXRPjSYkZj1bjY03YqYtuuwqOnHRsmGkbMG4ghPl1jSj+JD7WvOGT2zU1Z7/OimsEo3rCiu8cW759U0g2d0wQEXFRQDbfaWlp2O12EhISqF//0jciP/roIwB279590X/Hx8fTt29f3wUqUo1G9aFrS9id6ft9DzC5O5YzouvDpBGwYO3l5+wICYb7BkNia9/FJuKu/h0gZa/v99uxGcQ6/1qKaYYnGv+sLanp3BweHAKhwd6PSUQ8LyATmtTUVKDm7mZ33HFHtf99//338/bbb3s1NhFHDE7wfULTsjHEW+TO7DmxUTD1RmNemvX7IOOCO9o24PruMLCT6yO+iZildYzxROFwjm/3e7UL3bjMZLPBiCRIam1MtLn1EJwtP/99lxZGmbq1NAZKEBFrCsjTt7aExm63V/tnRjLz7qrnKS07PwzNrH89wNKUvzq9nQ3ff8LuHzd7JKbPtvyD+2d25r4XOzLnw4cpryjzyHZdNWKKjcLi/Gq/e2ROL86UuDcL3de7PuKVJb+jtKyE6W+P4YGZCTwypyfTFo7gWI45U8t3bWF0p/Cl67oaFwdWExZiPFl6+gb481iIrGd8HhUOI3vU/WRGdUDtArEOAN93j2oaCT3a+HafntIiGm6/Cv58G0T9XAc0DIdHrzOSHSUzItYWkKdwbQlNXfLe6hcoLa9lfF0HbPj+E3444v7FTFbuYd5e+Rwv/y6Fd/5wgLzCn1ixeaHb2/WWBU/tpL4Lw3ZeaMP3HzMoaQwAN/afwFtT97Lgqe8YmDiaOR8+5IEonRcUBPcMhCAfJRjdWkKfeN/sy1tsNoiKOP/Cr1WSM9UB7vHXOgCM5KJnW9/t7+4B1n9hPizkfPJilTpARGoXkF3O1qxZY3YIDvnrkkcBePL1awiyBfOXCasAOPLTHqYsGMaJ/KPExyXx7Lh/ERoSRnlFGW+vfI6dB9ZQVl5K69gEnrhtAbt/3MTm3cvYvn81K7e+zejBkxjQ9SZmvH83Z0pOUVpeQs+OyUwcPZegWm5Tpez6iIHdbiGmoTFW+E0DHmXRmhmMHjzRq8dixBQb9wx7lm/2rKCktIjxI6YzrPe4qu+XbXydjWmfUFB4gnEj/sgNVz1Ytd7Hf8ojMiK6xm0XFufz8P8mcbasmNhGbSirOEv2yUMM6zOex8f+jbT0DUy5821CgkPp3/XGqvW6th3AR1/N9lqZa9O2CVzXDb5wYgjnc/NKODJXxTnhofDr/mr8zaA64DzVAdW7/So48BMUnXV8HVfqgSFXQMfmzsUmIuIrAZnQWMUTt81nxeYFvPz7lIsa44OZO3np0bWEhtTjqdeHkJK6hOuuvJsP1r1EeGgDXp28BYB/rv4zb33+30we+xoDut1Cp1a9GHvNEwCUlpXw5wc/JaJeJBWVFUx/ezRf7fqA5F53XTam4/lHaN74/Ni2cTHxHM8/4vGyV8eGjflP7iDr5CEmvtKXxPjBxMXEAxAaUo9XJ2/hyPEfmDT3Kkb0Hk9wsGM/78iIaK7rdQ8R9aK4d8RzbN27kkVrZvD0HW+wbe8qurUbREjwpWMVf7z+FQYmjvZkEZ02sgdk5jn+Ps2cz53bfnAQPHBN3e+W5a9UB1xMdcClosLhN0Ng/hooq3BsHWfrgc7N4eYrnY9NRMRXlNBY0OCkWwkPM64wu7TtR9bJgwBsTPuEopICUlKXAFBeUUrznxv7X6q0V/L3FdNIS1+P3W4nv/A48XFJtV7MmGlkf6NrR4smHejeYQiph76uupgZdqVxp7Ztsy4EB4WQezqb2GjHh606kLmTW6+eDMD+jG/p1NJovTemfcLgpFsvWf79L2eQmXOAWY986U6R3HYu4XgrBfZ4eJCAkJ+33aWFZ7cr7lMdoDrgQh2bwUPXwj++glIHkxpHdW5ubFujf4lIXaaExoLCQsOr/j3IFkxFpTFki91uZ+LoefS94vpat7Hk6znkFx1n3mPfEBYazvxlT1304nFNmkW3JfPniyeA7Nx0mkX7sBP3hS7oA1XTMXHUocyddGplXMDsz/iWgYm3YLfb2bZ3JQ+PmnXRsh+um83675cya8IXVReVZgoLgd8OgU93wtc/eGZ+miaRcO8gaG+heWcCieqAn6kOqHJFC2OY8n9uhOOnPLPNwZ1hTB8lMyJS91n89T7/V79eFEUlBQ4tOyhpDEtTXqak9AwAJaVnSM82XrBoEN6QouLz2zldnEdMVBxhoeHknsrm610fVn2XU3CM38zqUu0+rul+G5t2LyP3VDZ2u53lm+cz1Ed3dFdufQswLqBSD6fQvf01Tq0/c9F9rE/9+JLPcwqOgc1G00bG1PKHsnfRPq47PxzdQtvmXYmoF1m17EdfzWHtzkXMfHj1Zfvk+1pIMNzaBx4bAU3dnCPimitg6iglM3WF6oDzVAdcXtsm8MxISO5qDEvuqsYN4PfD4I5+SmZExBr0hKaOu33I00xbOIJ6ofWrXgiuyV1Dp/Fe+Vkem9cf28/N2Z3J04iPS2R4n/G8tPgBNqR9wi2DJjL26sf503u389DsRJo0bMmVnYdXbSen4BjBQdX/NFo06cD917/AE68NBqBnx6HcNOARD5X28iorK3j05SspKS1i4ui5VV1NHLUvYxtjfu5ScqEDx3ZUdS8BiAyPZtmm12nUoCmDEsdUfX4iP4MFy5+mRUwHnpmfDEBYSD3mTf7GpfJ4Q4dm8IdRsPMIbNjn+BwV4aFwVQfjjqyvh4OWy1MdcJ7qgNqFhcDo3jCokzHvyjeHoLjUsXXbNjHmZOnV1tiOiIhV2Ox2uyd6qIgHVJTC2rlmRwEfrHuJmKgWDO9zr0vrJ0+G4DDX91/dcXBkpKLLyS88wYvv38PMCasdXueh2Ym89OhaGkc2c3gdd8vuaVn5cOiEMaFkRq5xYVNRCaEhxpwSbZpAmxijn3y9S9959kvTl0JBMTSKgBfGmh3NpepCPaA6wOBKHQB1qx4oLYf92XA01/g7cRrKyo2hi+uHQavGxiSdHWKNyXMDQV2vA0TEeboHI5f49dApZofgcdGRsU5dyAC88YwT4yHXUS2ijT8RZ6gOMPhDHRAWAomtjT8REX+lhEYsYfVLepAoEshUB4iISE00KICIiIiIiFiWEhoREREREbEsJTQiIiIiImJZSmhERERERMSyNChAHRIUagz3aXVBbg7/a+Xj4G7ZRaz8+z8nkOsAUD0gIuJrSmjqEJut7sxdYCYdBwlk+v3rGIiIiHPU5UxERERERCxLCY2IiIiIiFiWEhoREREREbEsJTQiIiIiImJZSmhERERERMSylNCIiIiIiIhlKaERERERERHLUkIjIiIiIiKWpYRGREREREQsSwmNiIiIiIhYlhIaERERERGxLCU0IiIiIiJiWUpoRERERETEspTQiIiIiIiIZSmhERERERERy1JCIyIiIiIilqWERkRERERELCvE7ADkPLsdKsvMjsJ9QaFgs7m+vpWPg7tlFwl0Vj7/L6R60OwoRCSQKKGpQyrLYO1cs6NwX/JkCA5zfX0rHwd3yy4S6Kx8/l9I9aDZUYhIIFGXMxERERERsSwlNCIiIiIiYllKaERERERExLKU0IiIiIiIiGUpoREREREREcvSKGci4rfKKiA9BzJy4chJyC+C0yXGd0Vn4T/fQZsYaB8LkeHmxioi3nGy8Hw9cCwPCn+uAwrPwqLNRh3Qtgm0joEgDTctYklKaETE75wshA374ZuDRuJSnfJKWPW98e/BQdCjDVyTYCQ3mkNDxNoqKiHtGKzfB/uya17mm4PGH0DTSBjUGfp3hAb1fBeriLhPCY2f++7gOp6Zn3zRZ+FhDWgdm8Dw3uMZM/gxgoP992cQ6OUPNKXlsOI7+PoHsDuxXkUl7PjR+OvcHO4aAE0ivRam+Fig1wOBVv7DJ4wnL8dPObdeTiEs2wGf74JRveCaK/TERsQq/KcGk8tK7nU3/brciB07eaezWf3tu8z/9CmOHN/Dk7cvNDs8rwv08geCwyfg/zZBzmn3trP/J5i5Am65EgZ31tMafxLo9YC/l7+8wrihse4HsDtzR+MXSivg42/huyMwbpBubohYgRKaANG5VW+G97m36r9vHvR7fjurC59teYMHb/gfoiNjTYzO+wK9/P5u11F4Z73xpMUTSsvho61w4jSM6a2kxl8Eej3gz+U/Ww5vfg17szy3zUMn4K8r4dHroFVjz21XRDxPo5wFqIiwBnRpNwC73U7myYNmh+NzgV5+f5J2DN5O8Vwyc6GvfoBPtrt3t1fqrkCvB/yl/OUV8OZXnk1mzjldAq9/CdkFnt+2iHiOEpoAlvVzA9awfozJkZgj0MvvD3JOwzspUOnFhOOrH2DrYe9tX8wV6PWAP5T/3ztgbw0v/ntC0Vl44yvjya2I1E3qchYgSsrOUFCUg91u9J3+dNN8DhzbQZc2/Wgdm2B2eF4X6OX3R5V248Xf0grn1nvqBmgYAaeKYc7njq2zdBskxEF0fefjlLoj0OsBfyz/gZ8gZa9z67hSB+ScNt7PubWP8zGKiPcFREKTk5PDrFmzWLp0KRkZGcTGxjJ27FhmzJjB5MmTefPNN5k3bx6TJk0yO1SveXfVdN5dNf2iz65OGstjt75mUkS+Fejl90cb98PB486v1zDC+cSkpAw+3AIPD3V+f3VJpR3OlhkjwIWHBt4IToFeD/hb+csrjJsaznKlDgBj9MRebY2h3a2svMJ45ygsBEKDzY5GxDP8PqHZuXMnI0eOJDs7mwYNGtCtWzcyMzOZO3cuBw8eJDc3F4BevXqZG6iXjeo/gSE97qC8sozDWaksXjeTnIIMwkIDYzbBQC+/v6mshDW7fbvPtGNGP/q4Rr7dryf8dAo27IMth4zkDKBeCFzVHgYnQItoU8PzmUCvB/yt/DuPGHNO+YodWLvHmglNeYUxeMr6fcZgB+e0iTHqgN7tjARHxKr8+h2anJwcbr75ZrKzs3n66afJyspi+/btZGdnM3PmTFasWMHWrVux2Wz06NHD7HC9qlXTzvROGE6/LiO5M3kqf37wU/ZmbOWVJY+aHZpPBHr5/c2eLMgt8v1+N+zz/T7dYbfDip3w4qfw9d7zyQwYd2jX7zeGqP74W+++h1RXBHo94G/lN+N8TM2A/DO+3687TpyCv6yAdzdcnMwAHM2Ff22G/1kGGbnmxCfiCX6d0EyePJmMjAwmTZrE7NmziYqKqvpu6tSp9OzZk/LycuLj42nYsKGJkfpeYvwghvcez7rvFpOWvtHscHwu0MtvdZsOmLPfrYeNO51WsWwHrE6rfbmvfjCGqQ600dwCvR6wcvmzC+Bwju/3a7fDZgsNCHeyEOatrn1+roJiePULyMzzTVwinua3Cc2ePXtYvHgxTZs25cUXX6x2mT59jLf7evbsWfXZRx99xG233Ua7du2oX78+Xbp04dlnn6Ww0IfPtX1k3PDnCAoK5p2VfzQ7FFMEevmtym43JtE0Q0kZZOWbs29n7c0yusc4auN++D7De/HUVYFeD1i1/IdceH/OU8yqf1zxr81wqsSxZUvKjKc4gXZjQ/yD3yY0ixYtorKyknHjxhEZWf00vxEREcDFCc3s2bMJDg5mxowZfPbZZ/zud7/jb3/7GzfccAOVlV6Y6MJErZp2IrnnXew48CWph1LMDsfnAr38VpVXZAyjapajFumWsd6F7jiurGN1gV4PWLX8Zp6HGbnWuOjPLoD9Pzm/jiuDrYiYzW8TmjVr1gCQnJxc4zIZGcbtyAsTmk8//ZQPPviAcePGce211/L444/z6quvsmHDBtavX+/doE1w97BnCbIF8c4qa92d85RAL78VHTO5S0SGBbpkFJyB7485v97e7Nq7pvijQK8HrFh+M+uBorPWeI9m437X1tvg4noiZrLZ7Va4z+C8Nm3akJGRwY4dO6odway8vJwWLVqQk5PDwYMH6dChQ43b2rdvH1dccQXvv/8+d999t9Ox9O3bl+zs2mf9CguJYOEk69ckE17tTGl5scvrW/k4uFt2qV273rdz1Z1/rfa7c/NLXE7DcAgKMkZKu1xXjJrmqDj63b/55v2JjgdsgtgOg7j2kQ9cWnfDW/eT9cOXHo7IcVY+/y+ketC79eCvnvmKqNiO1X5XWz3gaB0ANdcDq14ezqnsH5yI2Peueeh9mnce4vR6+Zm7+eKV670QkcjlxcXFsW3bNpfW9dtB+oqKjCGQiourr1QXL15MTk4OUVFRtG/f/rLbWrt2LQBdu3Z1KZbs7GyOHav9dml4qH/M2peVmUlJmeu3r6x8HNwtu9QuulPNjxCcmV8iKMi1uShKzpY5dD6bKaTJKZfXzT9VaGr5rHz+X0j1oHfrwYrL9AB3tB5wtQ4AyMk5yYk6Xg+4OoCJ3RZc5+s4kV/y24QmLi6OvLw8tm/fzsCBAy/6LisriylTpgDQo0cPbLaaZ5c7duwYzz33HDfccIPLc9XExcU5tFxYSC23li2iRcuWbt+ZtCp3yy61i4qs+fdxyoFD78wTmuqEhdho1apV7TsyUVS4672JG9Qzt3xWPv8vpHrQu/WgzV5W43e11QPOPqGpTpPGDQkrr9v1AOWujW1fUVJQ5+s48U+OXi9Xx2+7nE2ePJl58+bRpk0bvvjiCxISEgDYunUr48eP59ChQ5SVlTFx4kReffXVardRWFjI0KFDyc7OZuvWrbRo0cKrMVeUwtq5Xt2FTyRPhuAw19e38nFwt+xSu/Qc+OtK19d//lbjrmz+GXj+Y+fXv6EH3NDd9f37QmUl/M+nzk862DAcpt8KwSa+XWnl8/9Cqge9u483vnJ9VD5364AgG/zl13V/IspvD8N7LozGPaYPDO3i+XhEvMlvBwWYOnUqTZo04ejRoyQmJtK9e3c6d+5Mv3796NChA9dddx1w8YAAFyouLubmm2/m8OHDrFq1yuvJjIg4pmW0cUFhljYx5u3bUUFBMKiT8+sN7GxuMiPiqNYmnodxjep+MgPQsy1E1nNundBg6Hf5XvgidZLfNl2tW7cmJSWFUaNGER4eTnp6OjExMSxYsIAVK1awb58xPml1CU1ZWRm3334727Zt47PPPqNbt26+Dl9EahAWAnHR5u3fCgkNwMBO0KT6EeurFV0frk7wXjwintTWxPPQzGTKGSHBMLKHc+sM6wb1nUyCROoCC9xjcF3Xrl1Zvnz5JZ8XFhaSnp5OUFAQSUlJF313bu6aL7/8kv/85z/069fPV+GKiIN6tTFnRusOsbWPolZX1K8HjyTD61/WPsRsw3Bj2ahw38Qm4q5OzaF+GJwp9f2+e7X1/T5dNTgBCoph1fe1LzuoM/yqjnenFamJXyc0NUlLS8Nut5OQkED9+hcPcTJx4kQ+/PBD/vCHP1C/fn02b95c9V3Hjh2JjY31dbgi8gsDOsHnqVDp4zcAB1vsCUazhvDkr+CzXfBtOpT9YtSjkCDoHW/cxW3cwIwIRVwTFgL9O8LaPb7db5NI6NLSt/t01409jW5ya3ZXP49Ws4aQ3BUGdITLjJEkUqcFZEKTmpoKVN/d7LPPPgPgL3/5C3/5y18u+u6tt97igQce8Hp8InJ5DSOM/uE7fvTdPqPCoWcb3+3PUxrVh7sGwC29YeeP8O/tcLYcwkPhudHQQN1LxKIGdYZ1P4AvhzYa3Nncd/hc1TsermwHP56EfdnwRRqUlkODMPivm5TIiPX57Ts0l3O5hCY9PR273V7tnxnJzLurnqe07Py4krP+9QBLU/7q9HY2fP8Ju3/cXPuCDvhsyz+4f2Zn7nuxI3M+fJjyipqHz/SFEVNsFBbnV/vdI3N6cabEvanPv971Ea8s+R2lZSVMf3sMD8xM4JE5PZm2cATHcg64tW1x3S1XQj0f3pK5tY/RJ92q6ocZF4DhocZ/1wuxTjKjerB2gVgPxkZBsg9H42reEK65wnf78zSbDeKbwvVJEPFzPRASrGRG/IMSmjruvdUvUFpey0D5Dtjw/Sf8cMT9hjwr9zBvr3yOl3+Xwjt/OEBe4U+s2LzQ7e16y4KndlI/PMqtbWz4/mMGJY0B4Mb+E3hr6l4WPPUdAxNHM+fDhzwQpbiicQMY3ds3++rRxri7KeZQPegef64Hb+hhdJnyNpsN7hlojAImInVPQHY5W7NmjdkhOOSvSx4F4MnXryHIFsxfJqwC4MhPe5iyYBgn8o8SH5fEs+P+RWhIGOUVZby98jl2HlhDWXkprWMTeOK2Bez+cRObdy9j+/7VrNz6NqMHT2JA15uY8f7dnCk5RWl5CT07JjNx9FyCgi6f46bs+oiB3W4hpqEx+dFNAx5l0ZoZjB480avHYsQUG/cMe5Zv9qygpLSI8SOmM6z3uKrvl218nY1pn1BQeIJxI/7IDVc9WLXex3/KIzIiusZtFxbn8/D/JnG2rJjYRm0oqzhL9slDDOsznsfH/o209A1MufNtQoJD6d/1xqr1urYdwEdfzfZamaV2AzvBD1mw66jj65ybKM+RSTjBSJzu6Ke7mGZRPXie6sFLhYXAvYPg1dVQWlH78uB8HQAwsju0a+p8fCLiGwGZ0FjFE7fNZ8XmBbz8+5SLGqKDmTt56dG1hIbU46nXh5CSuoTrrrybD9a9RHhoA16dvAWAf67+M299/t9MHvsaA7rdQqdWvRh7zRMAlJaV8OcHPyWiXiQVlRVMf3s0X+36gORed102puP5R2je+Pyt6riYeI7nH/F42atjw8b8J3eQdfIQE1/pS2L8YOJi4gEIDanHq5O3cOT4D0yaexUjeo8nONixn3dkRDTX9bqHiHpR3DviObbuXcmiNTN4+o432LZ3Fd3aDSIkOPSS9T5e/woDE0d7sojiJJsNxg82Jtnbm+XYOnM+d3z7jSLg98M0+peZVA9eTPXgpdo2gd9ea9QDvxz4ojrO1AEA13aBEUm1Lyci5lFCY0GDk24lPMwYna1L235knTwIwMa0TygqKSAldQkA5RWlNP+5ofulSnslf18xjbT09djtdvILjxMfl1RrQ26mkf2Nbg0tmnSge4chpB76uqohH3alcZeybbMuBAeFkHs6m9jo1g5v+0DmTm69ejIA+zO+pVPLKwHjmA5OuvWS5d//cgaZOQeY9ciX7hRJPCA0GB6+Fv5vk2cHCWjW0BjK2Jm5XMR3VA+qHrzQFS3g0WR4MwWKznpmmzaMYYx/1V1PaEXqOiU0FhQWev52cZAtmIrKcgDsdjsTR8+j7xXX17qNJV/PIb/oOPMe+4aw0HDmL3vqopdua9Isui2ZP184AGTnptMs2qRB+S9oYWo6Jo46lLmTTq2Mxnt/xrcMTLwFu93Otr0reXjUrIuW/XDdbNZ/v5RZE76ouqASc4UEw32DIakVLNnm3twUNpvxovENPawxG3igUj34M9WDVTo2hz/cBB9tge+c6IZandgouHsAdGjmmdhExLsCclAAK6lfL4qikgKHlh2UNIalKS9TUmrMoldSeob07DQAGoQ3pKj4/HZOF+cRExVHWGg4uaey+XrXh1Xf5RQc4zezqh865prut7Fp9zJyT2Vjt9tZvnk+Q310N3Pl1rcA4+Ih9XAK3dtf49T6Mxfdx/rUjy/5PKfgGNhsNG3UCoBD2btoH9edH45uoW3zrkTUO3+L/qOv5rB25yJmPrz6sv3RxfdsNujT3riguTrB+RHQbEBiK3j8emOIYyUzdYfqwfNUD15eVDg8OAR+M8QY0ctZjSKMeZmm3KhkRsRK1GTXcbcPeZppC0dQL7R+1cuwNblr6DTeKz/LY/P6Y8O4a3dn8jTi4xIZ3mc8Ly1+gA1pn3DLoImMvfpx/vTe7Tw0O5EmDVtyZefhVdvJKThGcFD1P40WTTpw//Uv8MRrgwHo2XEoNw14xEOlvbzKygoefflKSkqLmDh6blU3C0fty9jGmJ+7U1zowLEdVV0rACLDo1m26XUaNWjKoMQxVZ+fyM9gwfKnaRHTgWfmJwMQFlKPeZO/cak84h0NI+D2q+CmXrDtMOw+Bkdz4XQ1N97DQqBVY+jUzJisU93L6ibVg+epHnRMjzbGX0YubD4I6TmQlQ8VlZcu2yQSWsdA73aQ1BqCdatXxHJsdrsvp6SSy6kohbVzzY4CPlj3EjFRLRje516X1k+eDMFhru+/uuPgyCg9l5NfeIIX37+HmRNWO7zOQ7MTeenRtTSOdPw2nbtlF++w26GgGPKKjJeGQ4KMOVhio6CWAa38zvSlxrFoFAEvjDU7mkupHjSoHvS88gr46RSUlEKlHUJDjDrAKvMxeVJdrwdEnKUnNHKJXw+dYnYIHhcdGetUIw7wxjNpXopGfM1mg+j6xp+II1QPGvypHgwJNp7Iioj/UUIjlrD6JT1IFJHApnpQRKR6AdbZQkRERERE/IkSGhERERERsSwlNCIiIiIiYll6h6YOCQo1RoexuqBQ99e36nFwt+wigc7K5/+FVA+KiPiOEpo6xGarm0Nd+pqOg0jg0vlv0HEQEXGcupyJiIiIiIhlKaERERERERHLUkIjIiIiIiKWpYRGREREREQsSwmNiIiIiIhYlhIaERERERGxLCU0IiIiIiJiWUpoRERERETEspTQiIiIiIiIZSmhERERERERy1JCIyIiIiIilqWERkRERERELEsJjYiIiIiIWJYSGhERERERsSwlNCIiIiIiYllKaERERERExLKU0IiIiIiIiGUpoREREREREcsKMTsAOc9uh8oys6NwX1Ao2Gyur2/l4+Bu2UUksFm5/ruQ2gGzoxAJLEpo6pDKMlg71+wo3Jc8GYLDXF/fysfB3bKLSGCzcv13IbUDZkchEljU5UxERERERCxLCY2IiIiIiFiWEhoREREREbEsJTQiIiIiImJZGhRARMTPlVdAVgFk58PZcuOz0nI4chJaRkNIsJnRiYgvnC6Go7lQUHy+HiirgPwz0ChCI7OJtSmhERHxQyVlsO0wbD0EGXlQUXnx98VlMOdzCA4ykpq+7eGqDlBfozOJ+I2jubBhH+zJNBKZXzpTCs9/DFHhkBAHgztD+1glN2I9Smj83HcH1/HM/OSLPgsPa0Dr2ASG9x7PmMGPERzsvz+DQC+/BJ6SMvhsF2w+cP4u7OVUVBoXPUdzYcVO6NcRbuypxMafqB4MvGOw/ydYvgN+POnY8qdL4Nt0469ltFEHJLX2YoAiHuY/Z69cVnKvu+nX5Ubs2Mk7nc3qb99l/qdPceT4Hp68faHZ4XldoJdfAsPeLPjXZsg749r6pRWwfh+kHoU7+0O3Vp6NT8yletD/j8HZMvh0B6zf7/o2MvPhja+gbzzc2hca1PNUdCLeo4QmQHRu1Zvhfe6t+u+bB/2e387qwmdb3uDBG/6H6MhYE6PzvkAvv/g3ux1WpsLnqZ7ZXkExLFwH13WDm3up+4m/UD3o38cgtxD+tgZOnPbM9ralG096Hr0OWkR7Zpsi3qJRzgJURFgDurQbgN1uJ/PkQbPD8blAL7/4l+U7PZfMXGjNbli6zUiYxP+oHvSfY3CyEOau9lwyc05BMcxbDVn5nt2uiKcpoQlgWT9X3g3rx5gciTkCvfziH77eC1/u9t72U/bBF2ne276YS/Wg9Y9BSRnMX2OMVuYNZ0qNJz+nqhlUQKSuUJezAFFSdoaCohzsdqPf8Keb5nPg2A66tOlH69gEs8PzukAvv/innwpg2Xbn1nnqBmgYYVyczPncsXU+2wVdW0Jra17vyc9UD/rnMfj3duefzDhbD5wqhg+2wG+HqAuq1E0BkdDk5OQwa9Ysli5dSkZGBrGxsYwdO5YZM2YwefJk3nzzTebNm8ekSZPMDtVr3l01nXdXTb/os6uTxvLYra+ZFJFvBXr5xf9UVsL7m6G8svZlL9QwAqLrO7kvu7Gvp36lOWusTPWg/x2DH7Jg0wHn13OlHvg+A7anQ5/2zu9PxNv8PqHZuXMnI0eOJDs7mwYNGtCtWzcyMzOZO3cuBw8eJDc3F4BevXqZG6iXjeo/gSE97qC8sozDWaksXjeTnIIMwkLDzQ7NJwK9/OJ/dh6BH3N8t7/MPOMl4QEdfbdPTzpzFrYcMoaxLS2HiFDo0hJ6toXQAEnSVA/61zGw251/QuuuZTugVztj/iqrsdshPceYn6ugGIJs0CQS+neEuEZmRyfu8uuEJicnh5tvvpns7Gyefvpppk+fTlRUFACzZs1i2rRphISEYLPZ6NGjh8nRelerpp3pnTAcgH5dRpLU/mqefP1qXlnyKM/e+y+To/O+QC+/+J8NbgzL6qr1+6B/B2t1OSktNy76vjlkzIp+oW3p8PG3kNwVhnWzVrlcoXrQv47B4RPGEMu+VFAMacegRxvf7tddB34yzvVjeZd+t3YPdGoOt1+lxMbKLJhjO27y5MlkZGQwadIkZs+eXZXMAEydOpWePXtSXl5OfHw8DRs2NDFS30uMH8Tw3uNZ991i0tI3mh2OzwV6+cXasvLh4HHf7zcj1/GJ+uqCs+Xwty+NOTl+mcycU3TWGCVu8TeBN5qb6kFrHwMzbmqAcWPDSnYdNQY1qC6ZOefAT/DKSjhiofpNLua3Cc2ePXtYvHgxTZs25cUXX6x2mT59+gDQs2fPqs9SUlIYPnw4LVq0oF69erRu3Zo777yTPXv2+CRuXxo3/DmCgoJ5Z+UfzQ7FFIFefrGutGPm7Xu3ift21qJNcNjBbnmbD3p3tLi6SvWgNY+B3W5ePbD/J+NmgRVk5sG7G6DCgXcNi8uM+bcKS7welniB3yY0ixYtorKyknHjxhEZGVntMhEREcDFCU1eXh7du3dn7ty5rFq1ipkzZ5KWlsbAgQPJyMjwSey+0qppJ5J73sWOA1+SeijF7HB8LtDLL9aVkRuY+3bGT6eM94ycsXZPzU9y/JXqQWseg5xCY7hmM9jtRqJgBWt/gHInzunCEtcGWRDz+W1Cs2bNGgCSk5NrXOZcgnJhQnPLLbfw8ssvc8cdd3Dttdcybtw4li5dSkFBAUuWLPFu0Ca4e9izBNmCeGeVde5MeVKgl1+s6aiJScXRXGt0zdrgQreYorOw80fPx1LXqR603jE4anLXKDPrIEcVnYUd6c6vt3G/MYqkWIvfDgrw449Gq9SuXbtqvy8vL2fDhg3AxQlNdZo0aQJASIj1DlfPjkNZ/VLNVx/tmndl5Sz/vSUZ6OUX/5RXZN6+T5cYwzgH1/EX6H/Icm29PZlwVQfPxmI21YP+dwy8NYmmo8ysgxx14Cfnh7UHyDtjPOFtEe3xkMSLrHeF7qCiIuNsKy6ufmrbxYsXk5OTQ1RUFO3bXzqoekVFBZWVlfz444/813/9F3Fxcfz61792KZa+ffuSnZ1d63JhIREsnGTSW34e1DmhM6Xlrk8pbOXj4G7ZRWpls3H7X47W+PW5CfNq0jD8/D+fv7Xm5S434V7HTldQXlq3r2hGPfstEQ2bO73eis+/5P/ddb8XInKMleu/C6kd8G470OW6yST9amq139VWB4D79cDf33iLicueczBac7Tr+2uuumOOS+veMGoMJ3/c5uGIpDZxcXFs2+bacffbhCYuLo68vDy2b9/OwIEDL/ouKyuLKVOmANCjRw9s1YzVee2111Y9wenUqRNr1qwhNjbWpViys7M5dqz2t/fCQ52c5aqOysrMpKTM9dtHVj4O7pZdxBGVFeUEBVdffTs6YV5QkPMT652TcTSdivJS11b2kbPFhS4lNKdPnXSovvYWK9d/F1I74N12IC6v5j5nzkya6Wo9cKog19TzxBH1W7seX2ZGOjl1vHxyMb9NaIYPH86ePXuYOXMmI0aMICEhAYCtW7cyfvx4cnKMoW9qmlDzH//4B/n5+Rw+fJiXXnqJ66+/ng0bNtC2bVunY4mLi3NoubCQWm6pWESLli3dvjNnVe6WXcQRpWdyCY9qVu13p2r5+TUMNy5iKivh1GVG86lpO2Ulp4lr7trNHV86lZVKdHPnZwEtydlLq1atvBCRY6xc/11I7YB324Hw4JqHGautDgD364FQW6mp54kjbGeM96Ttdnu1N65rUlpcQP2gojpfPn/k6PVydWx2uxVe73ReRkYGvXr14uTJk4SEhNClSxdKSko4cOAAI0eOpLKykpUrV7Jw4UIefvjhy24rPz+f+Ph47r33Xl599VWvxVxRCmvnem3zPpM8GYLDXF/fysfB3bKLOGLhWtid6dq6z99q3JHNPwPPf+z8+h2bwWMjXNu3Lx08DvNWO7dOSBC8MBYa1PNOTI6wcv13IbUD3t3HsTx46T+ur+9uPfC76+CKFq7v31fmr3H+fbohV8DYvt6JR7zHb0c5a926NSkpKYwaNYrw8HDS09OJiYlhwYIFrFixgn37jCFwahsQACA6OppOnTpx4IDG8hMR87WOMW/fbUzctzM6xDofa9/25iYzIo6Ka2Qk4GYxsw5yxrVdnFs+OAgGJ3gnFvEuv+1yBtC1a1eWL19+yeeFhYWkp6cTFBREUlJSrds5fvw4e/fupX///t4IU0TEKZ2bw6rvzdu3Fdhs8MA18Moqx7rgtG0Ct+qurFhEcBB0aAb7ah9vyONaRlsn8e/aEn7VHVam1r6sDbh7ADRv6PWwxAv8OqGpSVpaGna7nYSEBOrXv/htuHvvvZdOnTrRq1cvoqOj2b9/Py+//DIhISE8+eSTJkUsInJep+bQrCEcP+Xb/Taub1wgWEWTSHj8enjra8i4zESA3VvDuEFQLyBbRLGqwZ3NSWgGdfb9Pt1xQ3eICIXl39U8yWb9MLizP/R0/jVpqSMCsvpOTTVS9eq6mw0YMIB3332XV155hZKSEtq0aUNycjL/7//9vxrntBER8SWbzbiY+fhb3+53UGfjRWIraRIJT4+EQ8dh/X7YecSYGDTo52M4qLPmmxBrSmoNjSKgwIfj0NQLMbpmWonNBkO7Qr8OsOUwbDsMx3LBjvGk69f94Mp2EBaQV8T+w2JNk2dcLqGZNGkSW7ZsIS8vj+LiYvbt28eCBQtMS2beXfU8pWXnhyCZ9a8HWJryV6e3s+H7T9j942aPxPTZln9w/8zO3PdiR+Z8+DDlFWUe2a6rRkyxUVicX+13j8zpxZmS025t/+tdH/HKkt9RWlbC9LfH8MDMBB6Z05NpC0dwLEfvVYk5+nd0fdhlV0SFW+/O7Dk2G3RsDvdffX7+jahwuO0qayQzagdqF4jtQHAQjKi917xHDe0K4aG+3aen1K8HQ7vAMyPPz9MTWc+oS5XMWJ8SmjruvdUvUFp+mTEVHbTh+0/44Yj7DVlW7mHeXvkcL/8uhXf+cIC8wp9YsXmh29v1lgVP7aR+eJRb29jw/ccMShoDwI39J/DW1L0seOo7BiaOZs6HD3kgShHnhYfCXQN8t787+lmn37y/UTvgHn9uBwZ1Nrqg+kLLxjAi0Tf7EnFWQOaka9asMTsEh/x1yaMAPPn6NQTZgvnLhFUAHPlpD1MWDONE/lHi45J4dty/CA0Jo7yijLdXPsfOA2soKy+ldWwCT9y2gN0/bmLz7mVs37+alVvfZvTgSQzoehMz3r+bMyWnKC0voWfHZCaOnktQLf1JUnZ9xMButxDT0Bgr/KYBj7JozQxGD57o1WMxYoqNe4Y9yzd7VlBSWsT4EdMZ1ntc1ffLNr7OxrRPKCg8wbgRf+SGqx6sWu/jP+URGRFd47YLi/N5+H+TOFtWTGyjNpRVnCX75CGG9RnP42P/Rlr6Bqbc+TYhwaH073pj1Xpd2w7go69me63MIrXp0gIGdYKNTtwgPveCvCMvyp/TJx56tHEqNPEQtQPnqR24VJDNeJF91go4W/PUNJdwth4IDoJ7BkBIsPMxivhCQCY0VvHEbfNZsXkBL/8+5aKK+GDmTl56dC2hIfV46vUhpKQu4bor7+aDdS8RHtqAVydvAeCfq//MW5//N5PHvsaAbrfQqVUvxl7zBAClZSX8+cFPiagXSUVlBdPfHs1Xuz4gudddl43peP4Rmjc+3/0uLiae4/lHPF726tiwMf/JHWSdPMTEV/qSGD+YuJh4AEJD6vHq5C0cOf4Dk+ZexYje4wmuYSb1X4qMiOa6XvcQUS+Ke0c8x9a9K1m0ZgZP3/EG2/auolu7QYQEX/qM/eP1rzAwcbQniyjitLF9IbfI8bkW5nzu3PY7NjNelhVzqB24mNqBSzWJhIeGwoI1UF7p2DrO1AM2m9Fd0ypDNUtgUkJjQYOTbiU8zOg836VtP7JOHgRgY9onFJUUkJK6BIDyilKa/1zR/1KlvZK/r5hGWvp67HY7+YXHiY9LqrUhM9PI/sZj/RZNOtC9wxBSD31d1ZANu9K4S9e2WReCg0LIPZ1NbHRrh7d9IHMnt149GYD9Gd/SqeWVgHFMByfdesny7385g8ycA8x65Et3iiTitpBg+M0QeGc9pB3z7LaviDO2rf7ldY/aAbUDF+rcHCYkwxtfQakTT2pqExwE9w3WE1qp+9RMWVBYaHjVvwfZgqmoNGovu93OxNHz6HvF9bVuY8nXc8gvOs68x74hLDSc+cueuuil05o0i25L5s8NJ0B2bjrNok0a59Bmq/rXmo6Jow5l7qRTK6Px2p/xLQMTb8Fut7Nt70oeHjXromU/XDeb9d8vZdaEL6ouKETMFBZiJB5f7jbmW6hw8C5tTYJsMDwRrk9SF5O6Su3Az9QOVEmIg6dugPc3wZGT7m8vrhHcM9CYo0mkrgvIQQGspH69KIpKChxadlDSGJamvExJ6RkASkrPkJ6dBkCD8IYUFZ/fzuniPGKi4ggLDSf3VDZf7/qw6rucgmP8Zlb10+te0/02Nu1eRu6pbOx2O8s3z2eoj+7mrdz6FmA0nqmHU+je/hqn1p+56D7Wp358yec5BcfAZqNpo1YAHMreRfu47vxwdAttm3clol5k1bIffTWHtTsXMfPh1Zftjy3ia8FBRgLy9A3Qrqnr22kdA0/eADf2VDJTV6gdOE/twOXFNTLmXrqpl+vzKoUGGzc0nhmpZEasQ09o6rjbhzzNtIUjqBdav+pl0JrcNXQa75Wf5bF5/bFh3LW6M3ka8XGJDO8znpcWP8CGtE+4ZdBExl79OH9673Yemp1Ik4YtubLz8Krt5BQcIzio+p9GiyYduP/6F3jitcEA9Ow4lJsGPOKh0l5eZWUFj758JSWlRUwcPbeqm4Gj9mVsY8zP3QkudODYjqquBQCR4dEs2/Q6jRo0ZVDimKrPT+RnsGD507SI6cAz85MBCAupx7zJ37hUHhFvaNkYnrgefjwJG/bBjh9r71cfHAS92hrzsrSPveimt9QBagfOUztQu+AgIyG5OsGYc2XDPshyIB9uGgmDE4z5WjSioViNzW63280OQgwVpbB2rtlRwAfrXiImqgXD+9zr0vrJkyE4zPX9V3ccHBml5nLyC0/w4vv3MHPCaofXeWh2Ii89upbGkc0cXsfdsot4WlkFZObB0VzIzjdGQrJjdFNr0QjaNIGW0YHznsz0pcZEhI0i4IWxZkdzKbUDBrUDnmO3G7/5oyeNeqCgGMorjMSnYQS0iTGezMY0CJybGXW9HhDnBUgTJs749dApZofgcdGRsU41YgBvPJPmpWhEfCc02OiC5k43NAk8agcM/tAO2GzGJLzR9aG7Xu4XP6WERixh9Ut6kCgiEsjUDohITTQogIiIiIiIWJYSGhERERERsSwlNCIiIiIiYllKaERERERExLI0KEAdEhRqDPdodUGh7q9v1ePgbtlFJLBZuf67kNoBEfElJTR1iM1Wt8auN4uOg4gEKtV/Bh0HEXGGupyJiIiIiIhlKaERERERERHLUkIjIiIiIiKWpYRGREREREQsSwmNiIiIiIhYlhIaERERERGxLCU0IiIiIiJiWUpoRERERETEspTQiIiIiIiIZSmhERERERERy1JCIyIiIiIilqWERkRERERELEsJjYiIiIiIWJYSGhERERERsSwlNCIiIiIiYllKaERERERExLKU0IiIiIiIiGWFmB2AnGe3Q2WZ2VG4LygUbDbX17fycXC37CIigc7KbcCF3GkPrH4M1BaKrymhqUMqy2DtXLOjcF/yZAgOc319Kx8Hd8suIhLorNwGXMid9sDqx0BtofiaupyJiIiIiIhlKaERERERERHLUkIjIiIiIiKWpYRGREREREQsSwmNiIgEDLv94n+KSGCx21UP+CONciYiIn6p0g57s2D/T3D0JGTkQXGp8d2pEvjjUmgTY/x1awVtm5gbr4h43qli2HkEjpyEjFz46dT5ROZUCcz+D7RpAu2aQs82EKHR2SxJCY2IiPiVM6Ww+QBs2A8nC2te7lQxpB0z/j5PNRKbqxOgTzyEBPssXBHxgkPHIWUffHfEuLlRk4w842/TAVi6DfrGwzVXQItoX0UqnqCExs99d3Adz8xPvuiz8LAGtI5NYHjv8YwZ/BjBwf77Mwj08osEmrRj8ME3UFDs/LpHc2HRZvhqL4wbCK0aez4+MUegtwWBVP7iUvhkO3xz0Pl1S8th4wHYfBCGJ8L1Sbq5YRX+8euVWiX3upt+XW7Ejp2809ms/vZd5n/6FEeO7+HJ2xeaHZ7XBXr5RfxdWQV8uAW2HHJ/W5l58L+fwY09YVg3zXjuTwK9LfD38h86Du9ugPwz7m2n0g6rvofUDHjgGmje0DPxifdoUIAA0blVb4b3uZcRfcbz66FTmPvYZmIbteazLW+QX3jC7PC8LtDLL+LPSsvh7+s8k8ycU2mH5Tth6bd6cdifBHpb4M/l330M/rbG/WTmQln5MG8VHMvz3DbFO5TQBKiIsAZ0aTcAu91O5kkXnstaXKCXX8RfVFTCm1/DvmzvbD9lL3y60zvbFvMFelvgL+U/+BO8lWI8qfW0wrPwty/h+CnPb1s8RwlNAMv6ufJqWD/G5EjMEejlF/EHX6TBD1ne3cea3ca7OeKfAr0tsHr5i87CO+u9k8ycU3jW6MpWUem9fYh79A5NgCgpO0NBUQ52u9Fv9tNN8zlwbAdd2vSjdWyC2eF5XaCXX8QfZeYZ/dyd8dQN0DDCGOFszueOr7f4G/jDKKhfz7n9Sd0S6G2BP5b/42+N4Zed4Uo9kJELX+42BgqQusfvE5qcnBxmzZrF0qVLycjIIDY2lrFjxzJjxgwmT57Mm2++ybx585g0aZLZoXrVu6um8+6q6Rd9dnXSWB679TWTIvKtQC+/iL+x240kw9k7pg0jILq+8/s7VQwrvoM7+jm/bl1RUQk/5hh3tIODoHkjaBJpdlS+Fehtgb+Vf182bDvs/Hqu1gMrU6F3O2ga5fy6dUX+GePdoLIKqB8G8U39YyQ3v05odu7cyciRI8nOzqZBgwZ069aNzMxM5s6dy8GDB8nNzQWgV69e5gbqA6P6T2BIjzsoryzjcFYqi9fNJKcgg7DQcLND84lAL7+Iv/nxpPHnS1sOwahexkWAlRSWGHPybDpw6QvTV7SAaxIgsVVgjOYW6G2Bv5X/672+3V9FJWzcD7f09u1+PWFftvFO4PfHLh7oJLIeDOhkzMHlSpJXV/jtOzQ5OTncfPPNZGdn8/TTT5OVlcX27dvJzs5m5syZrFixgq1bt2Kz2ejRo4fZ4Xpdq6ad6Z0wnH5dRnJn8lT+/OCn7M3YyitLHjU7NJ8I9PKL+Jv1+3y/z7IK2OrBkdR8IbvAGIL6s13Vj/60Nwve+Ao+3AqVAfB+QKC3Bf5U/txCc95t23zQGFnRKux2+M938PqXxjDUvxy1sfCs8S7i7P8YT3Ctym8TmsmTJ5ORkcGkSZOYPXs2UVHnnw9OnTqVnj17Ul5eTnx8PA0bBt4A44nxgxjeezzrvltMWvpGs8PxuUAvv4iVlVXAzh/N2fdWF7q3mCX/jDE6U54Dw9hu3G9MRhhoAr0tsHL5v003Z0j1M6WwJ9P3+3XVF2mOvWtYeBbmr4WfCrwfkzf4ZUKzZ88eFi9eTNOmTXnxxRerXaZPnz4A9OzZs8btjBw5EpvNxvPPP++NME03bvhzBAUF887KP5odiikCvfwiVpWVD+UmPU3IzPPuaEqe9PkuKCh2fPmv9xrlCzSB3hZYtfxHfNzltK7s2xn5Z4yns44qLoVlO7wXjzf5ZUKzaNEiKisrGTduHJGR1b/xGBERAdSc0HzwwQfs3LnTWyHWCa2adiK5513sOPAlqYdSzA7H5wK9/CJWddTEi4lKuzUu+s+cNe5gO2vDfo+HUucFeltg1fIfzQ3MfTtj0wGjznLG7mNGdz6r8cuEZs2aNQAkJyfXuExGRgZQfUJz6tQpnnjiCWbPnu2dAOuQu4c9S5AtiHdWWevOjKcEevlFrCjb5C4RZu/fEd8dde1J0rbDgfEuzS8FeltgtfKXlFX/TpivWKEOAGMgE2fZgW3pno7E+2x2uxk9EL2rTZs2ZGRksGPHjmpHMCsvL6dFixbk5ORw8OBBOnTocNH3jz32GKmpqaxbtw6bzcb06dPd6nbWt29fsrNrn8Y6LCSChZOsf3tswqudKS13op/DL1j5OLhbdhGpXd87/pf4vndW+925+SVq0jAcgoKMi/ba5q6oaY6KHf9+joMb33IiYt/rNuIZug1/wqV1l72QROmZfI/G4wwrtwEXcqc9sPox8HZbGB7VjJv+u+aXvjxVD9RUB5SVnObf07s6EbE5xs5IJyjY+QGND33zT7Yv/YMXIrq8uLg4tm3b5tK6fjlsc1FREQDFxdWfTIsXLyYnJ4eoqCjat29/0Xfbtm3j73//O99++63H4snOzubYsdqH4ggPtfB4eRfIysykpMz1WydWPg7ull1Eatf15zq+Oo7OLxEU5PoQpfn5eQ7V6WZqc/qUy+tmZmZytsi8fnVWbgMu5E57YPVj4O22sH6jyw8z5u16oLKyss7XAe4oKiy0XPn8MqGJi4sjLy+P7du3M3DgwIu+y8rKYsqUKQD06NED2wUD71dUVPDII48wadIkEhMTPRqPI8JCLnM7wUJatGzp9hMaq3K37CJSu7DLtFynajn9nH1CU53I+mG0atXq8iubLLjitEvrlZWcpmnjSFMnpLByG3Ahd9oDqx8Db7eFIWENLvu9p+qBmrZTWV5c5+sAgOKCTBrEtHV6PVtZgSnlc/R6uTp+mdAMHz6cPXv2MHPmTEaMGEFCQgIAW7duZfz48eTkGANt/7I72quvvspPP/3k8VHNHH18VlEKa+d6dNem2L9vP8FuTDxn5ePgbtlFpHYb9sOHW6r/rrruIRd6/lbjWv1UCTz/sWv7X/SPObRtMse1lX3kTCk8vxRKnXyPJrlHFK8dPeKdoBxk5TbgQu60B1Y/Br5oC5//uOb3aLxdD/RKiGPBz+9i12WfpxqjHTrDZoMP50+jcYNp3gnKS/xyUICpU6fSpEkTjh49SmJiIt27d6dz587069ePDh06cN111wEXDwiQk5PDc889xx//+EfKy8vJz88nPz8fgJKSEvLz86kMxDclRUTqmDYx5u07yAYtos3bv6Pqh0Gf9rUv90uDO3s+FhFvMLMeaG3ivp0xsKNRZzkjsRU0vvwDsDrJLxOa1q1bk5KSwqhRowgPDyc9PZ2YmBgWLFjAihUr2LfPmGL6woQmIyOD06dP88gjj9C4ceOqP4CZM2fSuHFjjhwx966ViIhAy2gIDTZn360am7dvZ93Q3bmeY8ldrZGsiQC0axqY+3ZGo/pwUy/Hl29QD2650mvheJVfdjkD6Nq1K8uXL7/k88LCQtLT0wkKCiIpKanq806dOrF27dpLlk9OTub+++/ngQcecKtvn4iIeEZIMPRqB1tdGJLUXVd1qH2ZuqJRffj9MFiwFk7WMq/ENVfAzRa9kJHA1CceVnwHvh6rt0E96NrSt/t0R3JXo+tpbV3PosJhwlBo1tAnYXmc3yY0NUlLS8Nut5OQkED9+udvXUVGRjJ06NBq14mPj6/xOxER8b2rO/s+oQkLhqtc6MZlpmYNjSFsNx0w3j3K+8UAcYmt4OoE6NLC6DsvYhWNGxi/3+99/CpL/47WeUoLxnl9Q3fo3AxS9sGuoxdPttkwAgZ2MrqbXm6o67ou4BKa1NRUoPoJNUVExBraNYX2TeFwju/22b8jRFhw0I8G9WB4IlzX1ZjhfMFaY9CAqHrw8FCzoxNx3dAuvk1ogoOs+55Zx+bGX0ExzFoORaXQIAymjzHKZXV+UATnOJvQ2O12j4965ox3Vz1Padn5MQVn/esBlqb81entbPj+E3b/uNkjMX225R/cP7Mz973YkTkfPkx5RZlHtuuqEVNsFBbnV/vdI3N6cabEteFLz/l610e8suR3lJaVMP3tMTwwM4FH5vRk2sIRHMs54Na2RcR1v+7vu4Y4uj7caPH7YEFBRiJ47u5ykEWuANQO1i5Q28FOzaGfD7uBjuwBTSJ9tz9vaBRhdNsF45/+kMyAEpo6773VL1BaXstkCQ7Y8P0n/HDE/Yo8K/cwb698jpd/l8I7fzhAXuFPrNi80O3tesuCp3ZSPzzKrW1s+P5jBiWNAeDG/hN4a+peFjz1HQMTRzPnw4c8EKWIuKJFtNGVwhmnio2hXmubp+KX7uxvzacz/kDtoHv8vR0c08e4SHeGK/VA2ybG+yhSNwVcl7M1a9aYHYLD/rrkUQCefP0agmzB/GXCKgCO/LSHKQuGcSL/KPFxSTw77l+EhoRRXlHG2yufY+eBNZSVl9I6NoEnblvA7h83sXn3MrbvX83KrW8zevAkBnS9iRnv382ZklOUlpfQs2MyE0fPJaiWW3Ypuz5iYLdbiGloDJBw04BHWbRmBqMHT/TqsRgxxcY9w57lmz0rKCktYvyI6QzrPa7q+2UbX2dj2icUFJ5g3Ig/csNVD1at9/Gf8oiMiK5x24XF+Tz8v0mcLSsmtlEbyirOkn3yEMP6jOfxsX8jLX0DU+58m5DgUPp3vbFqva5tB/DRV7O9VmYRqd113SA9B9IcnNS6tvkpqjMi0VovAfsTtYPnqR2sXv0wuP9q+NsaKHNw3iVn64GocLhvsP88zfBHAZfQWMkTt81nxeYFvPz7lIsqooOZO3np0bWEhtTjqdeHkJK6hOuuvJsP1r1EeGgDXp1szDj3z9V/5q3P/5vJY19jQLdb6NSqF2OveQKA0rIS/vzgp0TUi6SisoLpb4/mq10fkNzrrsvGdDz/CM0bt6v677iYeI7n+2Y4axs25j+5g6yTh5j4Sl8S4wcTFxMPQGhIPV6dvIUjx39g0tyrGNF7PMHBjv28IyOiua7XPUTUi+LeEc+xde9KFq2ZwdN3vMG2vavo1m4QIcGhl6z38fpXGJg42pNFFBEnBQcZFzNvfg0/ZHl++9d2sX5XMytTO3gxtYPV69AMHroW3vjK8aTGUVHh8LvroKl7D7nEy5TQWNDgpFsJDzNGaOvSth9ZJw8CsDHtE4pKCkhJXQJAeUUpzX+u6H6p0l7J31dMIy19PXa7nfzC48THJdVakZtpZH/jsXaLJh3o3mEIqYe+rqrIh11p3KVq26wLwUEh5J7OJja6tcPbPpC5k1uvngzA/oxv6dTSGL90Y9onDE669ZLl3/9yBpk5B5j1yJfuFElEPCAsxLiYWbLNGM3LE4KDYFRPo4uJRv+qe9QOqh38pStaGMOUv7vh0tH8XNW6Mdx/DcQqmanzlNBYUFhoeNW/B9mCqagsB4wBDCaOnkffK66vdRtLvp5DftFx5j32DWGh4cxf9tRFL13WpFl0WzJ/bjgAsnPTaRbd1oVSeMAFVxk1HRNHHcrcSadWRuW9P+NbBibegt1uZ9velTw8atZFy364bjbrv1/KrAlfVDWoImKukGDjPZcebWDxN0b/eFe1iYF7BmqSybpM7eDP1A5epH0sTBsFy3bAxv2ubyc4CK5PMkYHVDcza9D/pjqufr0oikoKHFp2UNIYlqa8TEmp0ZKXlJ4hPTsNgAbhDSkqPr+d08V5xETFERYaTu6pbL7e9WHVdzkFx/jNrC7V7uOa7rexafcyck9lY7fbWb55PkN9dDdr5da3AKPxSD2cQvf21zi1/sxF97E+9eNLPs8pOAY2G00btQLgUPYu2sd154ejW2jbvCsR9c4PafLRV3NYu3MRMx9efdn+yCJijq4t4Q83GS8KO3tXtX1TuHcQPPErJTN1idrB89QO1i48FH7dD578FfSNdy4hqRcC1yTA1FHwq+5KZqxET2jquNuHPM20hSOoF1q/6mXImtw1dBrvlZ/lsXn9sWHctbkzeRrxcYkM7zOelxY/wIa0T7hl0ETGXv04f3rvdh6anUiThi25svPwqu3kFBwjOKj6n0aLJh24//oXeOK1wQD07DiUmwY84qHSXl5lZQWPvnwlJaVFTBw9t+oxu6P2ZWxjzM+P0y904NiOqkfrAJHh0Szb9DqNGjRlUOKYqs9P5GewYPnTtIjpwDPzkwEIC6nHvMnfuFQeEfGO8FBjfoohV8CBn2B/tjH/SkYeFP58A94GRDcwnsa0iTESodYxpoYtNVA7eJ7aQce1a2r8jekD3x2BI7lGPfBTAVRUGsuEBRs3L9rEQNum0LMN1Lv0VSGxAJvdbrfXvpj4QkUprJ1rdhTwwbqXiIlqwfA+97q0fvJkCHZjeNPqjoMjo7RcTn7hCV58/x5mTljt8DoPzU7kpUfX0jiymcPruFt2EfEuu92YJTvIFrjvxkxfakyu1ygCXhhrdjSXqgttobvtILjXHli5HYS63xZWVBo3NawyF5On1fU6wBV6QiOX+PXQKWaH4HHRkbFOVeIAbzyT5qVoRMQsNhsEB2giI45TO2jw13ZQXcn8jxIasYTVL+lBooiIBC61gyI1U44qIiIiIiKWpYRGREREREQsSwmNiIiIiIhYlt6hqUOCQo2RQawuyM0hD618HNwtu4hIoLNyG3Ahd9oDqx8DtYXia0po6hCbrW4Pc+grOg4iIoFLbYCOgYiz1OVMREREREQsSwmNiIiIiIhYlhIaERERERGxLCU0IiIiIiJiWUpoRERERETEspTQiIiIiIiIZSmhERERERERy1JCIyIiIiIilqWERkRERERELEsJjYiIiIiIWJYSGhERERERsSwlNCIiIiIiYllKaERERERExLKU0IiIiIiIiGUpoREREREREctSQiMiIiIiIpalhEZERERERCwrxOwA5Dy7HSrLzI7CfUGhYLO5vr6Vj4O7ZRcRCXRWbgMu5E57YPVjoLZQfE0JTR1SWQZr55odhfuSJ0NwmOvrW/k4uFt2EZFAZ+U24ELutAdWPwZqC8XX1OVMREREREQsSwmNiIiIiIhYlhIaERERERGxLCU0IiIiIiJiWUpoRERERETEsjTKmYiIiB8rLIGjucZfzmk4U2p8XlwKmw5A6xho0QhCgs2NU0S8o6ISfiow6oBjeefrgDOl8PkuaBMDrZtAowhz43SHEhoRERE/U14BqRmwfh8cPF79MqUVsPgb49/DQ+GqDjC4M8Q18l2cIuI9Jwth437YfBCKzl76fVkFfJ56/r/bNoGrE6BXWwizWIZgsXDFWd8dXMcz85Mv+iw8rAGtYxMY3ns8YwY/RnCw//4MAr38IhJ4vjsCS7dBQbHj65SUQcpe4y+pNdxxFTSq770YfS3Q24JAL3+gKToLH38L3x4GuxPrHTkJ72+Cf2+Hm6+E/h2sM0Gqfr0BIrnX3fTrciN27OSdzmb1t+8y/9OnOHJ8D0/evtDs8Lwu0MsvIv6vsAQ+2go7j7i3ne8zjKc6t/aBq9pb54LGEYHeFgR6+QNB6lH4YAucLnF9G0Vn4V+bYeePcNcAiLbAzQ0lNAGic6veDO9zb9V/3zzo9/x2Vhc+2/IGD97wP0RHxpoYnfcFevlFxL+dLITXvzT+6QnFpcad2mN5MKa3/yQ1gd4WBHr5/ZndDl+kwYrvPLfNH7Lgfz+D310HLRt7brveoFHOAlREWAO6tBuA3W4n8+RBs8PxuUAvv4j4j7wimLfac8nMhb76wei6Ynem34qFBHpbEOjl9yeeTmbOOV0Cr30J2QWe37YnKaEJYFk/V14N68eYHIk5Ar38ImJ95RWwcB3kn/HePr7eCxv2e2/7Zgv0tiDQy+8Pdh7xTjJzTtFZWLDGeHJbV6nLWYAoKTtDQVEOdrvRb/bTTfM5cGwHXdr0o3VsgtnheV2gl19E/NPKVMjKd26dp26AhhFwqhjmfO7YOsu2Q5cW0DTK6RDrlEBvCwK9/P7odAl8uMW5dVypA/LOGIMF3DXA+Rh9ISASmpycHGbNmsXSpUvJyMggNjaWsWPHMmPGDCZPnsybb77JvHnzmDRpktmhes27q6bz7qrpF312ddJYHrv1NZMi8q1AL7+I+J+jJ+HL3c6v1zDC+Zd8SyvgX9/AxGHWfp8m0NuCQC+/P1qytfohmS/HlToAjOGfe7Uzbm7UNX6f0OzcuZORI0eSnZ1NgwYN6NatG5mZmcydO5eDBw+Sm5sLQK9evcwN1MtG9Z/AkB53UF5ZxuGsVBavm0lOQQZhoeFmh+YTgV5+EfE/q9Og0ofvthz4CQ4dh47NfbdPTwv0tiDQy+9vsgvcH9XQWStT62ZC49fv0OTk5HDzzTeTnZ3N008/TVZWFtu3byc7O5uZM2eyYsUKtm7dis1mo0ePHmaH61Wtmnamd8Jw+nUZyZ3JU/nzg5+yN2Mrryx51OzQfCLQyy8i/iX/jDFxpq+tt/i7NIHeFgR6+f2NGe+2HT4BmXm+329t/DqhmTx5MhkZGUyaNInZs2cTFXW+8+/UqVPp2bMn5eXlxMfH07BhQxMj9b3E+EEM7z2edd8tJi19o9nh+Fygl19ErG3zAXNGHvvuiHvzW9Q1gd4WBHr5ray0HLYeMmffdXGQEL9NaPbs2cPixYtp2rQpL774YrXL9OnTB4CePXtWfbZu3TpsNtslf/7YJW3c8OcICgrmnZV/NDsUUwR6+UXEuvb/ZM5+K+3GHVp/EuhtQaCX36oycqGkzJx9HzCp/rkcv01oFi1aRGVlJePGjSMyMrLaZSIiIoCLE5pzXnvtNTZt2lT1995773k1XjO0atqJ5J53sePAl6QeSjE7HJ8L9PKLiDVV2o2LGbMcPWnevr0h0NuCQC+/VR01sQ44fgrOmpRM1cRvE5o1a9YAkJycXOMyGRlGB+TqEppu3boxYMCAqr/u3bt7J1CT3T3sWYJsQbyzKjDvzAR6+UXEek6ehrPl5u0/ow72n3dXoLcFgV5+Kzpm4nloN3n/1bHZ7f45/2+bNm3IyMhgx44d1XYXKy8vp0WLFuTk5HDw4EE6dOgAGF3OkpOTWbt2LUOHDvVILH379iU7O7vW5cJCIlg4qQ52THTShFc7U1pe7PL6Vj4O7pZdRKQ2Tdr1Ifn3/672u3PzS1xOw3AICoLKSjh1mfdhapqjIvfoTta8epMTETvHym3AhdxpD6x+DNQWet/gB96mRdfh1X5XWz3gaB0ANdcDG9/5LZm7VzoRce3i4uLYtm2bS+v67bDNRUVFABQXV39CLV68mJycHKKiomjfvv0l3995553k5OTQpEkTbrnlFv7yl7/QtGlTl2LJzs7m2LFjtS4XHurCoOB1UFZmJiVlrk9bbeXj4G7ZRURqFdWxxq+cmV8iKMi1uSgqKnGoTXOVlduAC7nTHlj9GKgt9L7Ssooav3O0HnC1DgDIP3Xaq/WAs/w2oYmLiyMvL4/t27czcODAi77LyspiypQpAPTo0QPbBbOENWrUiClTpjBkyBAiIyPZtGkTL774Ips3b2bbtm2Ehzs/VntcXJxDy4WF1HJbzSJatGzp9hMaq3K37CIitYlp3KjG7045UP0484SmOkG2Slq1alX7jlxk5TbgQu60B1Y/BmoLvS80pOYZbmurB5x9QlOdRlENPF4POHq9XB2/7XI2efJk5s2bR5s2bfjiiy9ISEgAYOvWrYwfP55Dhw5RVlbGxIkTefXVVy+7rU8//ZRbbrmFN998kwcffNBrMVeUwtq5Xtu8zyRPhuAw19e38nFwt+wiIrUpOAPTP3Z9/edvNe7K5p+B513YTq+28MA1ru+/NlZuAy7kTntg9WOgttD7PtoK6/e5tq67dQDAlBuhVWPX1vUGvx0UYOrUqTRp0oSjR4+SmJhI9+7d6dy5M/369aNDhw5cd911QPUDAvzSTTfdRIMGDVzu1yciIuIpjerX/p6MN7WOMW/fImJoY+J5GBIEcTU/KDaF3yY0rVu3JiUlhVGjRhEeHk56ejoxMTEsWLCAFStWsG+fkdY6ktCcc2HXNBEREbOYeTFj5r5FxGDmediyMQTXsQzCb9+hAejatSvLly+/5PPCwkLS09MJCgoiKSmp1u0sW7aMoqIi+vXr540wRUREnJLYCtJMeB+3fhi0j/X9fkXkYnGNIKYB5Bb5ft+J3nuFzmV+ndDUJC0tDbvdTkJCAvXrXzy8w7333kuHDh3o3bt31aAAs2bNolevXtx1110mRSwiInJen3j493bfz0fTrwOEBeSVg0jdEhQEgzrD8p0+3q8NBnby7T4dUcceGPlGamoqUH13s8TERD7++GPuu+8+Ro4cyZtvvsnDDz/MunXrCAvTG24iImK+eqFGcuFrgzv7fp8iUr0BHX3f9atHG3Pf4auJEppf+K//+i9SU1M5deoUZWVlHD58mDlz5tCokTlvP7276nlKy86PqTfrXw+wNOWvTm9nw/efsPvHzR6J6bMt/+D+mZ2578WOzPnwYcoryjyyXVeNmGKjsDi/2u8emdOLMyWn3dr+17s+4pUlv6O0rITpb4/hgZkJPDKnJ9MWjuBYzgG3ti0i4qoRSUYXMF+5ujPENvTd/s5RO1g7tYOBKTIcRiT6bn+hwTDK8VfPfUoJTR333uoXKC2vZZBwB2z4/hN+OOJ+RZ6Ve5i3Vz7Hy79L4Z0/HCCv8CdWbF7o9na9ZcFTO6kfHuXWNjZ8/zGDksYAcGP/Cbw1dS8LnvqOgYmjmfPhQx6IUkTEeQ0j4La+vtlXTAO4+Urf7OuX1A66R+2gfxuR5Lvhk0f1MuemhiMCsifsmjVrzA7BIX9d8igAT75+DUG2YP4yYRUAR37aw5QFwziRf5T4uCSeHfcvQkPCKK8o4+2Vz7HzwBrKyktpHZvAE7ctYPePm9i8exnb969m5da3GT14EgO63sSM9+/mTMkpSstL6NkxmYmj5xIUdPkcN2XXRwzsdgsxDY3Jj24a8CiL1sxg9OCJXj0WI6bYuGfYs3yzZwUlpUWMHzGdYb3HVX2/bOPrbEz7hILCE4wb8UduuOrBqvU+/lMekRHRNW67sDifh/83ibNlxcQ2akNZxVmyTx5iWJ/xPD72b6Slb2DKnW8TEhxK/643Vq3Xte0APvpqttfKLCJSm97x8P0x2PGj4+ucmyjPkUk4wejScs9Ao5ubr6kdPE/toFQnOAjGDYS/roJSB9+pc7YOAEiIgyFXOB+frwRkQmMVT9w2nxWbF/Dy71MuqogOZu7kpUfXEhpSj6deH0JK6hKuu/JuPlj3EuGhDXh18hYA/rn6z7z1+X8zeexrDOh2C51a9WLsNU8AUFpWwp8f/JSIepFUVFYw/e3RfLXrA5J7XX7gg+P5R2jeuF3Vf8fFxHM8/4jHy14dGzbmP7mDrJOHmPhKXxLjBxMXEw9AaEg9Xp28hSPHf2DS3KsY0Xs8wcGO/bwjI6K5rtc9RNSL4t4Rz7F170oWrZnB03e8wba9q+jWbhAhwZe25B+vf4WBiaM9WUQREafYbMbFzJlS2Jvl2DpzPnd8+0E2GD8IOjV3LT53qR28mNpBqU7LxvDbIfDGV1BWUfvyztQBAG2bwG+GGPVBXaWExoIGJ91KeJgxOluXtv3IOnkQgI1pn1BUUkBK6hIAyitKaf5zRfdLlfZK/r5iGmnp67Hb7eQXHic+LqnWitxMI/sbj7VbNOlA9w5DSD30dVVFPuxK4y5V22ZdCA4KIfd0NrHRrR3e9oHMndx69WQA9md8S6eWRt+KjWmfMDjp1kuWf//LGWTmHGDWI1+6UyQREbeFBMND18J7G2DXUc9tNzQY7hsM3dt4bpueonZQ7aBc7IoW8EiykdSUePCVrs7N4bfXQrgJT2idoYTGgsJCw6v+PcgWTEWl8YzRbrczcfQ8+l5xfa3bWPL1HPKLjjPvsW8ICw1n/rKnLnrpsibNotuS+XPDAZCdm06z6LYulMIDLpjotKZj4qhDmTvp1MqovPdnfMvAxFuw2+1s27uSh0fNumjZD9fNZv33S5k14YuqBlVExEyhwfDgNbDpgGeGc24fC/cMqLv95dUO/kztoFygU3OYNgo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",
"text/plain": [
- ""
+ ""
]
},
- "execution_count": 53,
+ "execution_count": 55,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
- "# For using hardware efficient ansatz, comment other two ansatz lines\n",
- "ansatz_qc = QuantumCircuit(n, name='Hardware Efficient Ansatz')\n",
- "\n",
- "add_hwe_ansatz(ansatz_qc)\n",
- "\n",
- "# For using TwoLocal ansatz, comment other two ansatz lines\n",
- "# ansatz_qc = TwoLocal(6, \"ry\", \"cz\", reps=5, entanglement=\"linear\")\n",
- "\n",
- "# For using EfficientSU2 ansatz, comment other two ansatz lines\n",
- "# ansatz_qc = EfficientSU2(n)\n",
- "\n",
- "\n",
+ "# Using TwoLocal ansatz (arbitrary choice)\n",
+ "ansatz_qc = TwoLocal(n, \"ry\", \"cz\", reps=n//2, entanglement='circular')\n",
"ansatz_qc = ansatz_qc.decompose()\n",
- "\n",
"num_params = ansatz_qc.num_parameters\n",
- "\n",
- "pauli_strings = get_pauli_strings_from_graph(elist, n)\n",
+ "pauli_strings = get_pauli_strings_from_graph(list_edges, n)\n",
+ "hamiltonian_arr = SparsePauliOp.from_list(pauli_strings)\n",
"\n",
"print(pauli_strings)\n",
- "\n",
- "# Based on cost function equation\n",
- "\n",
- "hamiltonian_arr = SparsePauliOp.from_list([(p, 0.5) for p in pauli_strings])\n",
- "\n",
- "ansatz_qc.draw(output='mpl', style='clifford')"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 54,
- "metadata": {},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "num_params 2\n"
- ]
- },
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "execution_count": 54,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
"print('num_params', num_params)\n",
"ansatz_qc.draw(output='mpl', style='clifford')"
]
},
- {
- "cell_type": "markdown",
- "id": "QJRRn0W57BnC",
- "metadata": {
- "id": "QJRRn0W57BnC"
- },
- "source": [
- "# **Classic Brute Force Calculation**\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 55,
- "id": "_LFTRAg1uCKw",
- "metadata": {
- "colab": {
- "base_uri": "https://localhost:8080/",
- "height": 1000
- },
- "id": "_LFTRAg1uCKw",
- "outputId": "e8a149ec-7ed5-4f62-abbb-755417ae2adc"
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "\n",
- "Best solution = [1, 0, 1, 0, 1, 0] cost = 8.0\n"
- ]
- },
- {
- "data": {
- "image/png": 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Dw8nPzyc7J4ejR44QFBREVFQU/v7+FNpshPr40E4aDgkhxD+cPHmSadOmcezYMWbMmEGvXr0uXR9Qqxa8+y507w4zZ8Lp0/amQOHhf+lUeNkCQlW1Fwnm59u3EDZtCi+/DHfeWZ1vr8pIMlBJg6Oj2ZWTQ6mi4FfONaRGzz6Loqrs37+fOnXqEB4WdsXHazQawsLCCAsLo6CggOzsbI4dO4Z/QABqZCTDGzYk1EXXoYQQwlm++uorXnrpJSIiIlixYgUtWrS48hM0GnsPgNtvhy1bYM0aOHTIXvwH4O+PRlHwVRS0paX2wkCTyX7WANjrDdq2hZEjoU8fl58NuJiMIJV0R1gYzQMCOGA0UteBw4pKS0pAVQm4eKqqHEJCQggJCaGwqIgz585hys0ldetWvu7blzvuuEMa4gghvJ7FYmHBggWsXbuWu+66ixkzZhDoSF1VRAQ8+CDExcF338Gvv0JKCqSlocnOxk9R0JpM9mLA0FDo0gXat4dbb7XXB7jh57AkA5Wk02iIq1OHZ44coURR8C/nN4HRaESr011o2eqowMBAAvR6blEU6paW8vTTT9O0aVNiY2Pp3r27nH4mhPBKGRkZPPPMM+zdu5ennnqKIUOGVLyPik4HXbvafwFYrfy6cSNzZ81i3fr1+IeH23cguOHg/3fu/w5cwPDoaDqFhJDjwEEzxpISh2cFLpZtsRCh17PoxhtZ8v77JCQkEBMTw4wZM+jXrx9btmy57A4EIYTwRD/++CPDhw8nKyuLZcuWMXTo0KptqObjQ35gIKd9fTG0bAl163pEIgCSDFQJH62WWU2bEq7Xk3mV41rLlBiN+FdwB4DRZsMKPNWgAc3Pv0b79u15++23Wbt2Lddeey2vvfYaffr0Yc2aNZSUlFToOkII4Q4URWHRokVMmjSJtm3bsmbNGtqe37Jd1cxmMzqdzuNmXyUZqCItAgJ4vlEjtBoNOVdJCEwmE4qiVGhmoFRRyLVauS8igtG1a/8zjhYteO2119i8eTO33nor8+fPp2fPnixbtoyCggKHryeEEK4sJyeHCRMmsGLFCh599FHmzZtHaGhotV3PZDJVeHnXlUkyUIWG167NtIYNsQFZV1gyMBqNoNH8dZ9rORhtNrItFrqFhbHgmmvwucL0VMOGDZkxYwYffvgh3bt3JyEhgZ49e7JgwQJyc3Mduq4QQriiP/74g+HDh3P06FEWL15MXFxctRdRSzIgyuWRmBhebNwYH42GdLMZ8yW6ExpLSvDz8yv3WpaiqmSazeTbbPSIjGRZq1YElnOKqk6dOkydOpWdO3cyaNAgNm7cSM+ePZk9ezZnz5516L0JIYQrUBSFxMRExo8fT5MmTVi7di033HBDjVxbkgFRLhqNhvi6dVnbpg1tAgPJslrJtViwXTRLUGI0lmuJQFVVimw20s1mgnx8eLlJE5a0aFHuROBiERERPPbYY+zcuZP4+Hg++eQT+vTpw8yZMzlx4oTDryeEEM6Qn5/Pk08+ycKFC4mNjWXRokVERkbW2PU9NRmQrYXV5F8hIWxv1463T55kdUYGZy0WdEAQYLZYCLhM8aCqqlhUlUKbjZLzjYzuCg/npcaNLxQLVkZISAgPPvggw4cPZ+vWraxevZodO3Zw9913ExcXd/WmHEII4SS7d+/mmWeeoaSkhPnz59OpU6caj8FsNksyIBwTqNPxbOPGPBQTw9bsbNZkZLD/3DksoaHk6/UUmc1oAQ2gYD99UIO9d0GYjw8ja9dmUHQ07QIDq3Z7DBAQEMCIESMYNGgQO3fuZMWKFQwfPpzbb7+d+Ph42rdvX6XXE0KIilJVlfXr1/P222/TunVrXn/9dWpfooC6JpSWlkoyICom2mDg4ZgYxtapw9RFi/j2+HEemDCBvUYjRTYbiqriq9XSxM+PawMDaR0QQPugIEJqoMWwwWCgf//+9OnTh08//ZQVK1YQHx/PjTfeyNixY7n55purPBERQojyKi4uZubMmXz55ZcMHz6cxx577KrHulcns9mMwYFus+5CkoEa5KPVkvnzzzzQrBkvNWni7HD+QqfT0aNHD+677z7+7//+j4SEBCZMmMC1115LfHw8nTt3llbHQogadeDAAaZNm0Zubi6zZ8/mThc49MdTawbk070GGY1GDhw4wHXXXefsUC5Lq9XSrVs3Vq1axbvvvouvry9Tpkxh2LBhfPLJJ9hsNmeHKITwcKqq8uGHHxIbG4u/vz9JSUkukQiAPRnwu+gUQ08hyUAN2r17N4qicP311zs7lKvSaDTccsstLFmyhOXLl1OnTh2ee+45BgwYwNatW6XVsRCiWpSUlPDSSy/x8ssv07NnTxITE2nQoIGzw7rAZDJ55DKBJAM1KDk5meDgYBo3buzsUBxy3XXX8c4777BmzRpatWrFrFmz6Nu3L2vXrpVWx0KIKnPs2DHGjBnDF198wcyZM5k+fbrLTcnLMoGotJSUFK677jq3XXtv2bIlr7/+Ohs3buRf//oX77zzDr169SIhIYHCwkJnhyeEcGOfffYZo0ePRlVVVq1aRY8ePZwd0iV56tZC9xyV3JCiKKSlpbl0vUB5NW7cmBdeeIFt27Zx7733smzZMnr27MnChQul1bEQwiFms5nXX3+d6dOn06VLF1auXEnTpk2dHdZleerWQkkGasihQ4cwGo0ekQyUqVu3LlOnTmXHjh0MGDCA9evX06tXL+bMmUNGRoazwxNCuLj09HTGjh3Lhx9+yPTp03n55Zcv25DNVcgygaiU5ORkfHx8uPbaa50dSpWLjIxk0qRJ7Ny5k9jYWD766CP69OnDyy+/LK2OhRCX9O233zJixAjy8/NJTEykf//+btHTxFP7DEgyUEOSk5Np3bq1R2aUZUJCQnjooYfYuXMnEydO5Pvvv2fgwIFMnz6dgwcPOjs8IYQLsFqtzJ8/n8mTJ3PjjTdeKEx2F7K1UFRKWfGgNwgICGDkyJHs2LGDadOmsXv3boYNG8bkyZNJS0tzdnhCCCfJzMxk/PjxrFmzhieffJI333yT4OBgZ4flkNLSUpkZEBVz9uxZMjIyvCYZKGMwGBgwYABbtmxh5syZnDx5kri4OMaPH8+vv/6KetFJjkIIz/bLL78wfPhw0tPTWbp0KSNGjHCLZYGL2Ww2FEXxyBleSQZqQEpKCoDXJQNlfHx86NGjB+vXr2f27NkUFRUxYcIEYmNj+fbbb1EUxdkhCiGqiaIoLFmyhIkTJ9K6dWvWrFnjtgehmUwmAI9MBuRsghqQkpJCw4YNiYiIcHYoTqXVarnzzjvp1q0bP//8MwkJCUyePJlmzZoRHx/P3XffjU6nc3aYQogqkpuby3PPPcdvv/3Gww8/THx8vNv2WQHPTgbc91/FjSQnJ3vtrMClaDQabr31VpYuXcrSpUupXbs2zz77LAMGDGDbtm3S6lgID5CcnMyIESM4dOgQCxcu5MEHH3TrRAAkGRCVUFxczKFDhyQZuIwOHTowf/58kpKSaNGiBa+++ip9+/blgw8+kFbHQrihsg6C48aNo379+qxZs4aOHTs6O6wqIcmAqLC0tDQURZFk4CpatWrF7Nmz2bBhAzfffDPz5s2TVsdCuJmCggKmTJnC/PnzGTVqFIsXL6ZWrVrODqvKSDIgKiwlJYXQ0FC3O5zIWZo0acJLL73Etm3buPvuuy+0Ol60aBF5eXnODk8IcRl79+5l5MiRJCcnM2/ePB577DGPqwGSZEBUWFl/AXfbQuNsMTExPPPMM2zfvp3+/fvzwQcf0LNnT9566y0yMzOdHZ4Q4jxVVdm4cSPx8fGEhYWRlJRE586dnR1WtSirZ5I+A8IhNpvNYw4ncpaoqCgef/xxdu3axZgxY9i1axe9e/fmlVde4eTJk84OTwivZjQaefbZZ3njjTfo168fy5YtIyYmxtlhVRtPnhmQrYXV6MCBA5SUlEgyUAVCQkIYN24cI0eOZNOmTSQlJbF9+3buuece4uLiaN68ubNDFMKrHD58mKlTp5KVlcWsWbO49957nR1StSstLQWQdsTCMSkpKej1etq0aePsUDxGQEAAo0ePZufOnUydOpXU1FSGDh3K5MmT2b17t7PDE8Ir7Ny5k9GjR6PX60lKSvKKRABkmUBUUEpKCq1bt/bIbxxnMxgMDBw4kK1bt/LSSy9x4sQJYmNjmTBhAr/99pu0OhaiGphMJl5++WVefPFFunfvzooVK2jYsKGzw6oxZcsEnviZLslANVFVleTkZK6//npnh+LRfHx8eOCBB9iwYQOzZ88mPz+fRx55hPj4eL799ltJCoSoIqdPnyY2NpZPPvmEGTNmMGPGDI+cLr8Sk8mEXq93++ZJl+J578hFnDlzhqysLKkXqCFlrY6TkpKYP38+Op2OyZMnM3z4cD777DM5/0CISlAUhcLCQmw2GytXrqR3797ODskpTCaTRxYPgiQD1abscCJ3PZDDXWk0Gjp16sSyZctYunQptWrVYvr06QwYMIAPP/wQi8Xi7BCFcDtarZYWLVqwZs0ary7WlWRAOCwlJYVGjRoRHh7u7FC8Vlmr49WrV3PNNdfwyiuv0KdPH9atW3ehKlgIb3fmzBmys7Ov+jitVoter6+BiFyX2WyWZEA4pqzZkHC+1q1bM3v2bNavX8/NN9/M3Llz6dWrF4mJiRQVFTk7PCGcZsGCBTRq1IikpKQLxXHi8kpLSyUZEOVXWFjIoUOHpHjQxTRt2vRCq+O77rqLpUuXXmh1fO7cuXK/jslk4ueffyYnJ6f6ghWimr333nssXryYW265hVdffZXvv/9eCm6vwmw2e+ROApBkoFqkpaWhqqokAy7q4lbH/fr1u9DqeO7cueVqdfzbb7/x5ptv0qlTJ4YNGybtkYXbMZvNmEwmhg4dyrfffku7du2YPHkyBw4ccHZoLk1qBoRDUlJSCA8Pp0GDBs4ORVxBWavjsgYqO3fupHfv3qSkpFzxDqlNmzZMmTKFiRMnsn79ej799FPZrSDcisFgYMiQITzyyCMA7Nixg/T0dF555ZVy1Q94K5PJ5LHbKSUZqAbJycm0b99eDidyE6GhoYwbN46dO3fy9NNP065duyv+20VERNCpUyd+//13OnbsSNeuXT1y37HwbHXr1iUqKgqz2UxgYCBbtmxhzZo1rFixQgpsL8NkMskygSgfq9XK7t27pXjQDQUEBDBgwIArJgJlMwDZ2dkkJSUxduxY6tWrV1MhClHlDAYDiqLQuXNnXnnlFWbMmMHXX3+N2Wxm/fr1bN682dkhugxPXiaQg4qq2IEDBzCZTFIv4MaulgxotVpeeOEFWrRowb333iuzAsLtlX3PT58+nZ9//pknn3ySRo0a8fXXX7Njxw4nR+c6zGYzERERzg6jWkgyUMWSk5MxGAy0atXK2aGIKqaqKj4+PhQXF7N06VLmzJkjswLCraiqiqqq/0hgNRoNNpsNnU7Hc889xy233IKfnx9paWm0bNnSSdG6HtlaKMotOTmZNm3aeOy6kjcrKyp8+eWXqVevHj169MDHR/Jp4R6KiopYuHDhZYtjdTodO3bs4JZbbmH48OEkJydLIvA3nrxMIMlAFVJVlZSUFFki8DCqqvLxxx/z448/YjabWbhwIePHj6dx48bODk2Ictm/fz8jR45k06ZNHD169LKPCw0NJSEhgaSkpBqMzn1InwFRLunp6eTk5EjxoIdRVZXvv/+eLl260LBhQ7Ra7RVnBaRxi3AVqqqyZcsW4uLiCAwMvOrZAl26dCE2NrbmAnQzsrVQlEvZ4USSDHgWrVbLq6++yokTJxg2bBhGo5GRI0fy1VdfYbPZ/vF4jUbDtm3bKC4udkK0QtiVlJTwwgsvMGvWrAvtt6XGpXJka6Eol+TkZJo0aUJISIizQxHVoH79+sybN4/MzEw6d+7MunXr/tFsSFVVDhw4wBtvvMEDDzzAe++951CrYyGqwtGjRxkzZgxff/01r7zyCv/+9789dhCrSZ5cMyDVT1UoOTlZ6gW8QHh4OO++++6FbYYX02g0tGjRgu3bt5OUlMSaNWtYs2YN/fv3Z+TIkURHRzspauEtPvnkE1599VXq1q3LqlWraNKkibND8giqqnp0MiAzA1WkoKCAI0eOyBKBF7lSf4FatWrx5JNPsnPnTkaOHMmOHTvo06cPs2bN4vTp0zUYpfAWZrOZWbNm8dxzz9GtWzdWrlwpiUAVslqtqKrqscmAzAxUkbS0NEDqBcRfhYWFMX78eEaNGsWmTZtYs2YN27Zto3v37sTFxdG0aVNnhyg8wKlTp5g2bRpHjx7l2WefpW/fvtIOvYqVHfHsqcmAzAxUkeTkZCIiIqhfv76zQxEuKDAwkDFjxrBjxw6eeuop/vjjDwYPHsxTTz3Fnj17nB2ecGNff/01I0eOpLi4mBUrVtCvXz9JBKqB2WwG8NjaC0kGqkhZfwH5IRRX4uvry+DBg9m2bRszZszgyJEjjB49mkcffZQ//vhDtiWKcrNarcybN4+nn36ajh07kpSURIsWLZwdlscqO7xJthaKy7JYLHI4kXCIXq+nd+/ebNq0iddee428vDzGjRvH2LFj+eGHHyQpEFeUkZHBuHHjWLduHVOmTOGNN94gKCjI2WF5NFkmEFe1f/9+zGazJAPCYVqtlnvuuYc1a9bw9ttvA/D4448zYsQIvvjii39sXRTip59+Yvjw4WRkZLBs2TKGDRsmM5I1QJYJxFWVHU4kfbxFRWk0Gm6//XaWL1/O+++/T3h4OM888wyDBg1ix44dWK1WZ4conExRFBYvXsykSZO49tprWbNmDe3atXN2WF5DZgbEVaWkpNC2bVv0er2zQxFuTqPRcOONN7Jw4cILW8Neeukl+vbty4YNGy58IAnvkpuby8SJE0lISOCRRx7h7bffJiwszNlheRVJBsQVyeFEorpce+21zJkzh/Xr19OhQwfmzJlDr169WLVqlbQ69iJ//PEHw4cP59ChQyxatIj4+Pgr9rgQ1UOSAXFFp06dIjc3V+oFRLVp1qwZL7/8Mlu2bKFr166899579OzZk/fff5/8/HxnhyeqiaIorFy5kvHjx9OwYUPWrl3LTTfd5OywvJYkA+KKkpOTAWTtTlS7+vXrM336dD788EN69erF6tWr6dmzJ2+//TZZWVnODk9UoYKCAqZMmcKCBQuIjY3lvffeIyoqytlheTVJBsQVpaSk0KxZMzmcSNSY6OhoJk+ezI4dOxg+fDjbtm2jd+/e0urYQ/z555+MGDGClJQU3nnnHSZMmIBOp3N2WF6vLBnw1NowSQYqKSUlRZYIhFOEh4fzyCOPsHPnTh5++GG+/vpr+vXrd6GZkXAvqqqyYcMGxo4dS2RkJGvXruW2225zdljiPLPZjMFg8NhtnJIMVEJ+fj5Hjx6V4kHhVEFBQcTGxrJjxw6mTJnC77//zuDBg3n66ael1bGbKC4uZvr06cyePZtBgwaxdOlS6tSp4+ywxEVMJpPHdh8EOaioUlJSUgA5nEi4Bj8/P4YMGUL//v35+OOPWbFiBaNHj+aWW24hPj6eDh06eOxdjTs7ePAg06ZNIzs7mzfeeIO77rrL2SGJSygtLfXYegGQmYFKSUlJISoqipiYGGeHIsQFF7c6njVrFjk5OYwbN44HH3yQH3/8UVodu5Dt27czZswY/Pz8SEpKkkTAhZUtE3gqSQYqoaxeQO62hCvSarXce++9rF27lnnz5qEoCpMmTWLkyJF8+eWX0urYiUpLS3nppZeYOXMmPXr0IDExkYYNGzo7LHEFJpNJZgbEP5nNZvbs2SNLBMLlaTQaOnfuTEJCAosXLyY0NJRp06YxaNAgdu7cKa2Oa9jx48eJjY3ls88+48UXX+S5557z6EHGU0gyIC5p3759mM1mKR4UbkOj0XDTTTexaNEiVqxYQePGjXnxxRfp168fGzdulFbHNeDzzz9n1KhRWCwWVq1aRc+ePZ0dkignSQbEJSUnJ+Pn5yfnhwu31LZtW9566y3WrVvHddddx5tvvnmh1bHRaHR2eB7HbDYze/Zs/v3vf3P77bezevVqmjVr5uywhAMkGRCXVHY4kY+PbMgQ7qt58+a88sorbN68mTvuuINFixZJq+Mqlp6ezoMPPsjWrVt55plnePXVVwkICHB2WMJBOp2OoKAgZ4dRbTRqOUqLCwoKCA0NJT8/XzrtYW8Ocs899zBgwAAeeeQRZ4cjRJXJzMwkKSmJzZs3o9VqGTBgACNHjpRWuBX07bff8sILLxAcHMzrr79OmzZtnB2S8DLlHb9lZqACTpw4wblz56R4UHicslbHO3fuZNiwYWzdupXevXvz2muvkZ6e7uzw3IbNZmP+/PlMnjyZG264gaSkJEkEhEuTZKACUlJS0Gg0tG/f3tmhCFEtwsPDmTBhArt27eKhhx7iq6++om/fvsyYMYOjR486OzyXlpWVxfjx40lKSuLxxx9nzpw5MqMqXJ4kAxWQnJxM8+bNPXr9SAiwtzqOi4tjx44dTJ48+UKr46lTp7J3715nh+dyfv31V4YPH87p06dZunQpo0aNkj4kwi1IMlABcjiR8DZ+fn4MHTqUDz/8kOeee46DBw8yatQoHnvsMf773/86OzynUxSFpUuX8uijj9KiRQvWrFkjnxHCrUgy4KC8vDyOHz8uP+jCK+n1evr06XOh1XFWVhYPPfSQV7c6zsvLY9KkSSxZsoSHHnqIBQsWEB4e7uywhHCIJAMOSk1NBZBmQ8Kr6XS6C62O586di9VqZdKkSYwaNYqvvvrKa1odp6SkMGLECPbv38+7777LuHHj0GrlY1W4H9la6KD09HS+++47Bg8eLGuBQpynqiq///47CQkJ/PbbbzRu3Ji4uDi6d+9es704jEbYvRv27oU9e+DIESgttf9dUBC0agWtW//vd72+QpdRVZU1a9awYMEC2rVrx6xZs4iOjq7CNyJcnc1mQ6fTOTuMqyrv+C3JgINUVUVRFLf4JhDCGdLS0khMTOTbb78lJiaG0aNH07t37+o98e3AAdi0CTZsgJwcKDtvQau1/wKw2ey/Kwr4+kKDBjBiBPTvD7Vrl/tShYWFvPTSS3zzzTeMHj2aCRMmSPMxL1NSUsKjjz7K888/T5MmTZwdzhVJMiCEcKqDBw+SmJjIF198QXh4OCNHjmTAgAFV233v1CmYORO++MI+K+DrCyEhYDDA5WbuVNU+W5Cfb08QQkLsScGTT0Jw8BUvt3fvXqZNm3YhIejSpUvVvRfhMoxGI1qtFp1Oh0ajufAL7KeBZmVl0aBBA/7zn/9w7bXXOjnaK5NkQAjhEk6cOMHKlSvZtWsXAQEBDB06lKFDh1bus0RRYONGeO01OHvWPqAHB18+AbjS65w7ByUl9qWDV1+FTp3+8TBVVdmyZQtz5syhefPmvPHGG8TExFQ8fuHSXnzxRc6ePYuvry9+fn74+/vj6+uLv78//v7+mEwmnnjiCY4cOULjxo2dHe4VSTIghHApGRkZrF69mq1bt6LT6Rg4cCDDhw93vNWxyQRTp8Lmzfb/jo7+31JARVkskJkJ/v7w1FPwyCMXEguj0cisWbP45JNPGDRoEE8++WT1LnkIpwsMDCQyMpLo6GhKSkooKSnBbDZjMpkwm80oikJxcTGZmZku36pbkgEhhEvKzc3lgw8+YMOGDVgsFnr37s3o0aPLd6dtMsHEibBzJ4SG2osCq4qqQm6uvd7gySfhySc5cvQoU6dOJTMzk+eee45777236q4nXFaHDh14+umnGT58+CX/PjMzkzp16pCTk+Py20jLO35L1YsQokZFRETw6KOPMnr0aDZu3MjatWvZsmUL999/P3FxcZefdlUUmDbNngiEh0NVn/yn0UBkJOTlwbx5pJ44wYTff6devXqsXr2aRo0aVe31hMvq3r07e/bswWQyodfrL/TPKKsdyMvLQ6/X4+/v7+RIq47MDAghnKqkpIStW7eSlJREVlYW3bp1Iz4+nlatWv31gRs32u/YAwOvWuhXGYqqUnD4MPmlpeyKiyN+3jz8/Pyq7XrC9eTk5FBcXEzDhg0v+fcmk4m0tDRuuummGo7McbJMUEkWiwUfH58r9hLIyckhJCQEfQX3Kgsh/sdsNrNr1y5WrFjB6dOn6dSpE/Hx8fYGX+np8MADkJUFdepUawynTp/GVFpKE4MBv9tvt9cmSI2AcFOSDFTS/PnzCQwMpH379sTExBAeHo6fn99fuos9+uij3HbbbZddVxJCOM5ms/H555+TkJDAkSNH6NChAzNzcqjz449oYmIqXyx4GQWFhaSnp+Pj40P9evXw02jsPQteeAEefrharilEdZNkoBKsVisGgwGtVotGo6Fhw4bceOON3HrrrVx33XU0btwYrVZLmzZt+Oijj+jatauzQxbC4yiKwnfffcf2t9/myY8+QmcwEBgTQ3BwMFfbQPif4mIePnHikn+X2Lgx7S5a61VUlczMTHJzcwkJDqZuTAy6soQjIwPq14f/+z+ZHfBiiqJgs9muOlvsiqSAsBJSUlJo1aoV69atQ6fT8dFHH/HZZ58xc+ZM8vPzqVWrFo0aNcJsNtO5c2dnhyuER9Jqtdxxxx10+flnLN9+yxmNhrxTp/D19SUqMpKQkJCrfjAPDQ+nzd+KvBpctKxnsVg4dfo0paWl1KlTh/Dw8L8mGuHhcOKEvalRjx5V+O6EOzl27Bjff/89w4YN89hlYTlR4xJKS0u59tpryc7O5tprr+Xpp5/m888/Jy8vj1OnTjFv3jyMRiPXXXedtCUWojqVlqJZvx5DUBCNGjemcePGGPR6Tqenc+jwYfLy8lCuMLnZISCAHqGhf/kVdr51cFFREUeOHsVqtdK4USMi/p4IgH02QFHggw+q7z0Kl7d3717mz5/v7DCqlcwMXMINN9zAc889R926dQH73YNGo0Gr1RITE8Pw4cMvNE4RQlSjffsgO9veYRAI8PcnoEEDSktLyc7J4czZs2RlZxMZGUlYWNj/pvcvYlQUfDUadOdnEVQgKyuL7OxsgoKCiImJwedKP8sBAfD77/YWxrKrwCuZTCa0Wq1Hn0Hhue+sEvz9/bnuuusu/Pffp4VKSkpQFIURI0bUdGhCeJe9e+3dAX19//JlPz8/6terh6lWLXJycsjMyCA7O5uIiAgiLmoC89KZMxgVBS32WYJHIyMJzcnBaDQSHR1NZGTkVesP8PODoiL7YUjt21f5WxSuz2QyYTAY3K5ewBGSDFSAv78/iYmJBAYGOjsUITzb3r323y/zIexrMBBTty61oqLIyckhOzubnJwcCgID6RoYSJeQEMJ0Oo6YTKzIyiI2L49Zfn50btSIwPI2LfL1tXcm3LdPkgEvZTKZ8P1bQuppJBmoIG/YVSGE0x09Wq7Dh/R6PXXq1CEqKorc3FzIy2OsqhJuMBARGUkbk4mGisJUjYYdfn7c50j3Qq3WHsOpU5V4I8KdSTIgUFX1wpYSIUQNM5kcOonQx8fnwvR/bl4eubm5ZGdnY1MU2tSuzT1WK98UFqKoKlpHp3xNJgeDF57CG5IB2U1wFRs3buSPP/5wdhhCeKcKrtHqdDpqRUXRvHlz0GjQajTknztHiNmMRVUpUZSKvGiFYhHuT5IBL6coCu+99x4pKSnODkUI7xQUZN/aV0EWiwWtVkvjxo0JCQ3lUEEBismEzWh0/MVkJ4HXMpvNHn9stSQDV3Ds2DEKCwv/srNACFGDWras0OxAntUK2Hf+aLCfT18YFkaaXs8NBgOnTp3ixMmTmMzmq7+YzWY/3rhZM4fjEJ7BZDJ5/GFVshB+BcnJyWi1Wtq2bevsUITwTq1a2QdiRXHoTIJ/nz6Nr1ZLI5MJf62Wj7Oy2JKXR4BOx/TGjallNpORkcGRw4cJj4igVlTU5fuGlPUXaN26it6UcDelpaUev0wgycAVJCcn07JlSwKq+tx0IUT5tG5tH4hLSuxHF5dT1+BgPs7P59fiYkwaDdEFBdwZEsJDUVE0MBjA15fAoKALBYb5+flE16pF2KW6EJaUQFgYNG5chW9MuBNvWCaQZOAKUlJS5OwBIZypWTO45hr480+HkoGhEREMDA3lwIED1IuJITQ09B+P0Wo0REVGEhoaSlZmJmfOniUvL4/ader8rweBqtpnBu65p9pOSxSuz2QyEX5RMytPJN/dl5Gdnc3p06elXkAIZ9JqYeRI+zLB+TqA8iotKQHsTcKuRO/jQ0xMDE2aNEGr1XL8+HFOnTqF2WIBo9HedGjo0Aq/BeH+ZDeBFyvbQSDJgBBO1rs3REXBuXMOPc1YUoKPToe+nNO7/n5+NGrcmHr16lFSUsLhw4cpTk/H2q4d3HBDBQIXnkKSAS+WkpJCTEwM0dHRzg5FCO8WFgZxcfamPw40/ikpKcHf3//qZw9cRAOEhoTQrFkz6gYGUlhayoyzZ9m5axdKJbY4CvcmyYAXS05OllkBIVzFhAnQoQNkZdnX8a9C5XwyUMHiX62iEKbREDRmDNxzDy+++CKxsbGkpqZW6PWEezObzZIMeKOSkhL2798vyYAQrsLPD159FYKD7QnBVZhMJhRFuWq9wCWpKmRkQOPGBL32GrNee42lS5dis9mIj4/n+eefJzMzswJvQrgrb9haKMnAJfz555/YbDZJBoRwJR06wAsv2JsQZWdf8aFlzYb8HW0Uo6pw5gxERMD8+RAZef7SHVi9ejXPP/88v/zyC/3792fZsmWY5LwCr+ANWwslGbiElJQUgoKCaCYdx4RwLSNHwvPP2/+ckXHZVsUlRiO+fn5oHdkOaLVCejqEh8N770HHjn/5a61WS58+fdi6dSuDBw9m2bJlDBw4kC+++AK1HEsXwn1JzYCXSklJoX379o59kAghasaDD8Ls2fYlg/R0e1OgvykrHiy3ggI4exaaNIHEROjS5bIPDQwMZNKkSWzYsIFrrrmGZ555hnHjxrF///6KvBvh4hRFwWKxeHw7Yhnt/kZRFFJTU2WJQAhXNngw7NgBXbvatxyeOWNvDgTYbDZMZjMBV0sGVBWKiuD0afsuhZEjYefOf8wIXE7Dhg2ZO3cuCxcuJD8/n5EjR/LKK6+Qm5tbufcmXIr5/PkVskzgZQ4fPkxRUZEkA0K4umbNYM0aeOMNaNEC8vPh9GksGRn4KQr+l5rWtVrtCUBWlj0JKC2FTp0gIQHmzLHXCjjoX//6Fx988AFPP/00X331Ff369SMpKQmLxVIFb1I4W1ldiCwTeJmUlBR0Oh3XXnuts0MRQlyNTme/o//iC1i1Cvr0oVijIQDQZ2fblxHOnLH/np4OmZlgNkN0NMTHw4cfwqZNcNddlQxDx+DBg9m6dSsPPPAA8+fPZ8iQIXz33XdST+DmvCUZkLMJ/iYlJYWWLVtWbEuSEMI5dDro1g26deNFjYaY0lL+3a8fnDplv/vXasHf314T0Lo11KtXLWcNhIaGMnXqVAYMGMBbb73Fk08+yS233MLkyZNp2rRplV9PVD9JBrxUSkoKXbt2dXYYQogKUBSF1D176DBmjL2NsZM0a9aMhQsX8t133zF37lyGDh3K4MGDGTduHCEhIU6LSzjOW5IBWSa4SGZmJunp6VIvIISbOnr0KMXFxbRv397ZoaDRaOjSpQsbNmxg4sSJbN++nb59+7Jx40ZsNpuzwxPlJAWEXkgOJxLCvaWmpqLVamnTpo2zQ7nAYDAwevRotm7dSteuXZk9ezbDhw/n119/dXZoohxKz+9Ska2FXiQlJYV69eoRFRXl7FCEEBWQlpZG8+bNCajgmQTVKTIykhkzZrBq1SqCgoKYMGECTz31FKdOnXJ2aOIKZGbAC6WkpMisgBBuLC0tjXbt2jk7jCtq3bo1y5YtY9asWezdu5dBgwYxf/58iouLnR2auASpGfAyRqOR/fv3c/311zs7FCFEBRQUFHD06FGXqBe4Go1Gw7333svmzZuJi4tj/fr19OvXj+3bt8tRyS5GkgEvs3v3bhRFkWRACDe1e/duAJefGbiYn58f48aNY8uWLdx8883MnDmTMWPGXKhfEs4nyYCXSUlJITg4mMaNGzs7FCFEBezevZvQ0FAaNGjg7FAcVrt2bV599VWWL18OwNixY5k+fTpnz551cmTCZDKh0+nQ6XTODqVaSTJwnhxOJIR7S01NpV27dmg0GmeHUmHXXXcdK1euZMaMGfz+++8MGDCAJUuWXKhoFzXPbDZ7/KwASDIAyOFEQrg7RVHYvXu3W9QLXI1Wq6V3795s3bqVoUOHkpiYyIABA/jss8+ktbETlJaWSjLgLQ4dOoTRaJR6ASHc1LFjxygqKnKreoGrCQwM5LHHHmPjxo20bt2a6dOn8+CDD7J3715nh+ZVTCaTJAPeIjk5GR8fHzmcSAg3lZaWhlar9cif4fr16zNnzhwWLVpEUVERo0ePZubMmeTk5Dg7NK9gNps9vscASDIA2OsFWrVq5RXZnxCeKDU1lWbNmrlks6Gq0rFjR9auXcvUqVP55ptv6NevH6tWrbrQFEdUD5PJ5PHdB0GSAcA+MyD1AkK4L3doNlQVdDodgwYNYtu2bfTu3Zt3332XwYMH83//939ST1BNTCaTzAx4g4yMDDIyMqReQAg3VVhYyJEjRzyieLC8QkJCeOqpp1i3bh3169dnypQpPProoxw+fNjZoXkcqRnwEnI4kRDu7c8//wTcq9lQVWnatCkLFixg3rx5nD17lmHDhjF79mzy8/OdHZrHkGTASyQnJ9OgQQMiIiKcHYoQogJSU1MJCQmhYcOGzg7FKTQaDZ07d2b9+vVMmjSJXbt20a9fP9avX4/Vai3Xa1gslmqO0n1JMuAlpF5ACPdWVi/gzs2GqoJer2fkyJFs3bqVu+66izlz5jB8+HCOHz9+xeepqsrHH3/MuHHjWLNmTQ1F6z4kGfACRqORQ4cOSb2AEG5KURTS0tK8ql7gaiIiInj22WdJSkqiYcOGREdHX/HxVquVoqIiAgMDGTduHHfddRd5eXk1FK3rk62FXiAtLQ1FUWRmQAg3dfz4cY9rNlRVWrZsyZtvvnnVu1q9Xs/w4cOZN28etWvXJiIiQrYrXkS2FnqBlJQUQkJCaNSokbNDEUJUQFpaGhqNxiObDVUFjUZz1fNWygb+xYsXk5mZyeTJk6ldu3ZNhOcWpB2xFyirF5DDiYRwT2XNhgIDA50diltSFAWDwYDVamXatGlMnDhRlk3/RpYJPJzNZiMtLU2+8YVwY1IvUDmKogDw+OOPExERQVxcHP7+/k6OyrVIAaGHO3jwICUlJVIvIISbKioq4siRI7Rt29bZobglRVHw8fHh8OHDvPfee0ybNo1mzZo5OyyXI8mAh0tJSUGv19OmTRtnhyKEqIA///wTVVVlZqACUlNTOXjwIADjxo3j9ttvp0+fPvj4+Dg5MtcjyYCHS05OpnXr1l6xFiSEJ/L2ZkMVpSgKSUlJtG7dmiFDhvD999/z7LPPUrduXWeH5nJsNhs2m02SAU+lqiopKSlSLyCEG0tLS6Nt27ZSAOwgrVbL7NmzWb9+PampqVgsFo4cOXLJg44URSl3F0NPZDKZACQZ8FRnz54lMzNT6gWEcFOKorB7927pL1AJgwYNYu/evbz00ks88cQTPPvss//oL6DVannyySdJTEz0yt4Dkgx4uOTkZABZaxTCTZ04cYKCggL5Ga4Czz//PNnZ2fTo0eMfy6YWi4UmTZqwePFiBg4cyNdff+1VRyVLMuDhUlJSaNiwIeHh4c4ORQhRAampqWg0GtlJUEWCg4O5/fbb//F1vV7P5MmTWb9+PY0bN+bpp5/mkUceuVB86OnKZkO8obbMa5MBqRcQwn3t3r2bpk2bSrOhGtK4cWPmz5/PO++8Q1ZWFiNGjOC1117j3Llzzg6tWpWWlgJIO2JPVFRUJIcTCeHmUlNTpV7ACW677TbWrVvHE088waeffkq/fv344IMPPLbIUGYGPFhqaiqqqkrxoBBuqri4mMOHD0u9gJOUHWy0detW7rnnHubNm8fQoUP58ccfnR1alZOaAQ+WkpJCWFiY7E0Wwk2VNRuSmQHnCg8PZ/r06SQlJREZGcmkSZN4/PHHOX78uLNDqzKSDHiwlJQUrrvuOjQajbNDEUJUQFpaGsHBwXLaqIto0aIFixcvZvbs2Rw9epTBgwczb948CgsLnR1apUky4KGsViu7d++WJQIh3Fhqaqo0G3IxGo2GO++8k02bNvHwww+zZcsW+vXrx5YtWy4chuSOJBnwUAcOHKC0tFSKB4VwU6qqkpaWJksELspgMBAfH8+WLVu47bbbmDVrFiNHjuQ///mPs0OrECkg9FDJyckYDAZatWrl7FCEEBUgzYbcQ61atXjppZdYsWIFBoOBhx9+mGnTppGenu7s0BxSWlqKXq/3ilkoz3+HF0lJSaFNmzZekeUJ4YnS0tKk2ZAbadu2LQkJCcycOZPU1FQGDhzIokWLMBqNzg6tXLzlxELwomSg7HAiqRcQwn2lpqbSpEkTgoKCnB2KKCetVkuPHj3YvHkzo0aNIikpiQEDBvDRRx+5fD2B2Wz2mptHr0kG0tPTyc7OlmRACDcm9QLuKyAggEceeYRNmzZx3XXXMWPGDOLj49m9e7ezQ7ssk8nkFd0HwYuSgZSUFABJBoRwU0ajUZoNeYCYmBhef/11lixZgtlsJjY2lhkzZpCZmens0P7BZDLJzICnSU5OpkmTJoSGhjo7FCFEBfz5558oiiIzAx7ihhtuICkpiWeffZaffvqJ/v37k5CQcGE7nyuQmgEPJPUCQri3tLQ0goKCaNy4sbNDEVVEq9XSr18/tm7dysCBA3n//fcZNGgQX375pUsclSzJgIcpKCjg8OHDkgwI4cak2ZDnCgoK4oknnmDDhg00bdqUadOm8fDDD3PgwAGnxiXJgIdJS0sDkGZDQripsmZDUi/g2Ro1asTbb7/N/Pnzyc3NZcSIEcyaNYu8vDynxONNyYCPswOoCSkpKURERFC/fn1nhyKEqICTJ0+Sn58v9QJeolOnTnTs2JFNmzbx/vvv89lnn/HQQw8xePBg9Hp9tVzTrCgcLClhb3ExB0pKKLBa+aplS3y1Wt46eZJWAQG0DgigsZ8fWg8828YrkoHk5GQ5nEgIN1Y2u3fttdc6ORJRU3x8fBg6dCj33Xcfixcv5p133mHz5s1MmTKF2267rUquoaoqyUVFbMjMZEdODoU2GyZFQavRoKgqBQ0aoNVqOXHyJCrgp9USrdczJDqaAbVq0ciDth16/DKBxWKRw4mEcHNlzYZCQkKcHYqoYWFhYTzzzDOsXbuW2rVr8/jjjzNp0iSOHj1aqdf9KT+f/n/+Sb/du0k8e5Zim40grZYYg4EYg4H6vr74FxcTarEQYzBQR6/HT6PhjMnE7BMnuCs5mfH793O0pKSK3qlzeXwysH//fsxms9QLCOHGpNmQaN68OYsWLWLOnDkcP36coUOH8tZbb1FQUODQ6xRZrcw8dowRe/fyU34+/lot9QwGIvV6/HW6vywBqIpyYUZZp9EQqNMRfT5Z0ADbsrPpvXs3q86eRXGB3Q+V4fHJQEpKCgaDgZYtWzo7FCFEBRiNRg4dOiTFgwKNRkPXrl3ZuHEjjzzyCB9++CH9+vVj8+bN2Gy2qz7/cEkJfXbvZtHp02iAegYDgTrdZZeQVVW9ZH2AVqMh1MeHGIOBcxYL/z5yhPh9+yiwWiv7Fp3GrWsGCqxWfi8sZJ/RyO7iYvYbjRhtNlTAX6ulRUAAh86dI+zuuykEIpwdsBDCYXv27JFmQ+IvDAYDsbGx9OzZk4ULF/Laa6+xceNGpkyZws0333zJ5+wrLiZ23z6OlZZSW69HX44tqoqqornC47QaDbUNBow2G5/k5hK7bx8JLVsSVk1FjtVJo5ajs0NBQQGhoaHk5+e7xJrdnuJiNmRmsjk7m1yLBQVAVdFrNBeyOEVVMasqebm5+Pn5US80lD6RkQyOjub6oCApJhTCTSQkJLBy5Uq+/vpr6TEgLmnPnj3MmTOH1NRUunXrxhNPPEG9evUu/P2J0lKG7tnDkZIS6hoM6Mr5+X/gwAEiIyOJjIy86mNNikKWxULXsDASWrUiQKer8PupSuUdv93qJyvdZGLc/v30TEtjcXo6hVYrUT4+1DMYqOfrS7TBQJReT5ReT7TBQLRWi8+5c0Tr9ZTabCSePUu/3bsZtXcvRzyk6EMIT5eWlibNhsQVtWnThuXLl/PKK6/w559/MnDgQBYuXIjRaMSqKDx9+DCHHUwE4PzMQDkf76vVEqXX83/nzjHv5MmKvhWncYufLkVV2ZiZyQNpaWzPzkaPfa0n6ipTPSXnz8wOCgggQq+nnsGAn1bLF3l59E5LY+XZs9jcvOhDCE8mzYZEeWk0Gu677z42b95MbGwsa9asoV+/fkz57DO+y88nSq93KBGA8zUDDiShflotATodCWfP8quDhY3O5vLJgFVRmH7kCJMPHybLbCbGYCDYx6dc2ZqxpARfX1905/8xNRoNQTodMQYDBVYr048cYdLBg5SWo/BECFHzTp06xblz56ReQJSbv78/Dz/8MJs3b6bZ7bezJD+f/NxccPAAJFVVwYGZgTJhOh3G8+OWO40tLp0MlE3vrMrIwF+joY7B4FDnpxKjEf+AgH98XavREG0wEKLTsSUriwmSEAjhksqaDbVt29bJkQh3U7duXWJGjSKgTh18S0o4duwYp9PTsZaz4r+snM7RZECj0VDLx4e9RiOfOamNckW4dDLw6vHjrM/KIkSnI8THsY0PNkXBZDIR4O9/2ccE6nSE+/jwcW4u044ccYlTsoQQ/5Oamkrjxo1donBZuJdCq5WNWVkEGww0bdKEunXrUlxczKHDh8nOzr7s571isZC5bh2HHn+c0pkzyXjjDYp373bo2gatFgVYm5FRBe+kZrhsMvBlXh6JZ88SoNUSVIGqzLJ6gYBLzAxcLECnI/T8DMHW7OwKxSqEqB5SLyAqaldODpkWC2HnbyTDwsJo3qwZEeHhZGdnc/jw4Us2LDqzZAk5n3xC8L/+hc/996PR6TgxZw7G/fsdun6oTscvhYXsKS6ukvdT3VwyGcizWJhx9ChmVSW0gtszjCUl+Pj4lOtQiyCdDgV45fhx0h1cVxJCVI+SkhIOHjwoSwSiQr7Pz0dVVXwumubXarVER0fTtGlTfP38OH36NMePH6e0tBSAksOHKfjlF6IHDyZy8GB8br6Zuk89hT4qisz16x26fqBWS6mi8JObFBK6ZDIw/9QpDpeUEK3XV7gfwOXqBS4nWq8n3WTijRMnKnQ9IdyFoihYLBbMZrNLL42VNRuSmQHhKFVV+aOoCN/L7AQwGAw0qF+fhg0bYrPZOHr0KGfOnOHcL7+ARkNYt24X2gvrDAbCunSh5NAhLDk55Y5Bo9Ggqip/usnMgMt1IMyzWNiQlYW/VvuXjO5KTKdOkbV1K6VHj2LNz0drMFASFERUz55wUeOJK9Gd32mwKyeHpxo0oIEHnUYlRJmdO3cyd+5c/vvf/2Iymfj000/p3Lmzs8O6pNTUVAICAmjatKmzQxFuJtNiIdNsxu8q2wIDAwNp2rQpeXl5ZGVlUZKaiiEiAq2fH+r52QKNVot/s2YAlB4/jr4cDYjKGDQa/igsrPgbqUEuNzPwYXY2uVbrhXWe8rDk5KCUlhJ6++3UHjmSkB49UFWVc0uXkvfVV+V+nRCdjiKbjc1ZWRUJXQiXZzabuffee1m0aBFWq9WlG/lIsyFRUcdLSzGpKr7lvKEMDw+nWbNm6E0mzAYDR44coej8Hb1Wo8EnNBQA67lzDsXhq9WSbja7xW41l5oZUFWVtZmZaMCh5hBB111H0EVHFOfk5uLbvDm+a9aQ+8knhN95Z7leR6vRoNdo+CAzk4n16uEjH0LCw/Tv3x+ArKwsrFaryy4TlDUbKotXuBZVVVFVFZvNhqIoF36/+M+OfK2qXqfsa3v0eopq1UK1WtGd/x5X//67/T/+8rtiNqMPCcFkNnPq1Cm0Gg0ajQaNwWB/jtns0P8nLWBTVUyqiqvPNbtUMpBlsXCkpITgSg7CJUYjAQEBaCMiKDlyxKHnBut0ZJjNHCktpYUDNQdCuJOyu21FUZwcyaWdPn2avLy8KqsXKBskHB1k/v71qhqsqvNrNXE9V/m+0Wg0aLVadDodWq32wp/zGzempH9/bMXFaACN/cFX/h1QdToUiwWtqqLBvgPBx8cH0/kkoCwpcJSrJt0Xc6lkYK/RSImiEOVgT4EySmkpisVC0alT+J04QVFKCiG33OLQa/hpteTZbOw1GiUZEE6hqupVP5Av/tD/+9dr1apFaGjoFafXded36VztQ33Dhg1VNqA4MrAeP36cY8eOMX/+fBYuXFjpGFzFxQPX3wewqvqaTqfD19e3Wl67ur/m6HMuV2D+a0EBA/78k/DatTGU8+ZSVVUORERQkpVFoF5P/fr1L/S3sObnA+ATFubQv7eCfcb5coWMrsS1koHiYlQod+Hg32V88AF5X36JyWTC5udHaMeO1Bk1yqHX0J7PEvcWF9MnKqpCcXiTi6cL3fEu6moDqzO+Vtm7iGnTptG3b98qSQbeeecdVFWt1g97vV7/j68dP36c6OhorrvuOqcPVj4+PlXyOlL7UHMa+vpi0GgwqSrluZcvKiribEYGpvBwdAcP0jgmBn1g4IW/Lzl8GAC/Ro0cisOkKDTx98ffRU4wvBKXSgbOms2oON7+sUxE9+5o2rQh+8gRgk+fBkVBvUThxtXWjiw2Gwfz8jip1TptUHCXgdVV7rouN11Y3q9d6u7qUs8xGAwufxdVt25dfK4yu1Y2MF3t3++HH36osn8jR4wcOZLbbruN6dOnO+X6wr3VNhiINhhIN5kIvsJAbLZYyDh7lqKiIgIDA4nu3p3T//kPBf/3f0T26AHYOxLmf/cd/k2bOrSTAMCsqnQICqrUe6kpLpUMmM8fDFFRvjEx+Pr7Y/X1pej667GuWkXOiy9iGDcONJpyv7Y5NJTtP/xAyqZNFY7lahyZ8qvooOHj4+OUwaq8A2tVfq2iCaS3KpsZcMW1TLPZjF6v57qLioKFcIRGo6FDUBBHL3NUvaKq5GRnk5OTg4+PD/Xr1yc4OBiAgptvJnPDBmwFBeijo8n//nvMWVk0GjvWoRjU83UH1140w+DKXCoZ0IJ90K6E4JAQ/P39MZvNaNu0wbZrFxEaDYbate0DxkXFImUDyF++rtGQpap0ue02/n333dUygMl0oXCWwsJCDhw4cKHjWkpKCn5+fkRHR9OyZUsnR2en1+tJTEx0yURFuI/bQ0PZmp2N9W9dCAsLCzmbkYHNaiUyMpKoqKi/3EzEjB9P1qZN5P/wA7biYnwbNKDB5MkEtGrl0PWLFQU/rZZ/ucm5Gi6VDATqdFT2/s5Hp6Nly5YYjUZOpaZSbLORn5FB7bp1CQkNLdfrnzOZaFanDjedbzQhhKf47bffuPvuu9HpdPj7+/Pcc88BEBcXx3vvvefk6Oz+kqQLUUE9IyN57cQJzlmtROn1mMxmMs6epbi4mKDgYGrXro3hEu3qtXo9tYcNo/awYZW6foHNRqeQENrJzIDjmvn7o6gqiqo6dFSxNT//QlOIMv4GA/p9+/ANCsKvfn3S09PJysoiKiqK0NDQy37QqOfPr25+hdMOhXBXd955p8vUeQhRnUJ8fBgYFcWi06c5m5dHXm4uer2eBg0aEFTN6/jm8z9jI8pmpN2ASyUDrQMC8NVqMakq/g78DzybmIittJSAFi3QR0Rgzc8n/8cfMZ85Q+1hw4hs1oxSk4mc7GzOnDlDVlYWkZGRhIWH/yPpsKoquvOxCCGEcE+qqlJ/3z6Kioux6nTUrVWLyIiIah+cVVUly2KhVWAg90VEVOu1qpJLJQMtAgII0Okosdnwd2BdPeSWWzj3zTfkffUVtqIidP7++DVqRPSQIQTfcAMAfr6+1KtXj1q1apGdk0NGZibZ2dlEREYSER5+YR2/5Pw6jyQDQgjhng4cOMDs2bNJTk6mc1wcye3bE+TrWyN36edsNvx1Ol5t0sQtthSWcalkwFerpXt4OOsyMwk/P11fHiG33FLu5kIGg4GYunWpFRVFTk4O2VlZ5OTkEBEeTkREBIU2G3eHhxNVwU5TQgghnKOgoIDFixezadMmGjVqxKJFi+hw000M27OH7/PzqWswONTq3lEmRaHYZuORmBg6/W3p2tW5VDIAMDg6mi3Z2ZQoCgHVmFXp9Xrq1KlDVFQUObm55OTmkpWfjz4igh4xMdV2XSGEEFVLURS2b9/Ou+++i9ls5vHHH2fIkCEX+m3MbtaM4Xv2cKy0tNoSArOikGWxcFtoKFMaNKjy169uLrfH7ZaQEFoHBJBntdbI9Xx8fKgdHc01zZtjiIxEzcjgndGjef3110lPT6+RGIQQQlTMn3/+SWxsLK+88gqdOnViy5YtjBgx4i+Nt5r6+7OsZUvq+/pyxmzGUsVFtCU2G5kWCzcHB7O0ZUuCKthS35lcLhnQajQ8Ub8+eq2WwhpKCABM2M+2frtLF8bFxfH555/Tr18/XnrpJY4fP15jcQjhLWyX6A76d9nZ2eV6nPA+eXl5vPzyy4wZMwar1cqyZcuYOXMmUZdpI982KIg1bdrQMiCADIuFc1VwaqeiqmRaLOTZbNwZHs6q1q2JuMR2RXegUcvxf6OgoIDQ0FDy8/MvHNxQnVRV5clDh1iXmVntazxg/wdNN5u5LyKChFat0Go0lJSUsHXrVlavXk12djZ333038fHxXHPNNdUaixDeYvny5URGRtKiRQuio6MJDg7GYDD8pVYoNjaWgQMH0rNnTydGKlyJzWZj8+bNF/piTJgwgf79+1/oqnk1BVYrb544QVJmJqWKQrhOh7+DXUxVVaXQZqPAZiNCr2dy/frE1qnjksfel3f8dslkACDbbKZnWhrHz6/xONJ3wBGqqnLGYqGWXs+Odu1o6PfXU6fNZjM7d+5kxYoVpKen06VLF+Lj42nbtm21xCOENyguLiY4OBiNRoO/vz/XXHMNN998MzfffDNt2rShQYMGmM1mWrZsye+//06HDh2cHbJwAcnJycyePZuDBw/Sp08fHn30UcLDwyv0Wv937hyzT5xgd3ExJkUhQKslQKfDV6O5ZGKgqCqlikKxomBSFAJ1OrqEhTG9YUOuceHdZ26fDAD8VlBA/P79ZJvN1ZIQqKrKWYuFIJ2O91q04M4rfFNZrVY+/fRTEhMTOXbsGB07dmTs2LHccMMNbtNUQghX8dNPPxEfH8/KlSspKiri448/5ptvvuHPP/+ktLSUmJgYYmJiSEtLo+Qy/eWF98jOzmb+/Pl89NFHtGnThmnTpnHttddW+nUVVeX3wkLWZ2byUW4uxTYbZkVBg/34YQ32g+x0Gg0q4KvREKHXM7hWLQbWqkVzF04CynhEMgDw/blzPHLwIFlmM7X1evRVNA1jVVUyzGZCfHx4u3lz7i/naVSKovDVV1+RkJDAgQMHaN++PWPHjqVTp06SFAhRTl9++SXvvPMOzzzzDJ06dfrL3x06dIj/+7//4/XXXyc6OtppJycK57Naraxbt44lS5ZgMBh47LHH6NWrV7Wc72K02ThgNLLXaGS/0UihzYZZVfHVaIjU62kdEEDrwECa+vlV2ThUEzwmGQD4o7CQJw8dYr/RSJBOR6hOV6mBt8BqpcBmo7GfH282a0bnsDCHX0NVVX744QeWL19OWloaLVu2ZOzYsXTt2lUOIhLiKgoLC0lOTqZ58+bUrVsXs9l84cTLMr179yYiIoIVK1Y4L1DhNL/++itvvvkmx48fZ+DAgYwfP94p44+786hkAP5a9FFisxGi0xHsQFKgqipFikK+1YqvVsuAWrV4tlEjIitZ+amqKr///jsJCQn89ttvNGnShLi4OLp3717ughYhxP+oqkpJSQlDhw5l3LhxUjzoZc6ePcu8efP48ssvuf7665k6dSotWrRwdlhuy+OSgTI/5Oez7MwZvj13jmKbDb1Gg59Wi59Wi+Giwg9VVbGcL/goVRTMqoq/TsctwcGMrVuXu8LDq3xaPzU1lYSEBL7//nvq1avHmDFj6NmzJwbpZiiEw/Lz8wkODpaZNi9hNptJSkpi+fLlBAUF8cQTT3DffffJ8msleWwyUOaQ0cimrCy+yMvjuMlEqaJgURS05ws91PNnWPtrtdT386NraCiDoqNpUwPHSe7fv5+EhAS++uoratWqxahRo+jXrx9+f9upIIQQAr7//nvmzJnDmTNnGD58OA8++CCBbnL0r6vz+GTgYgVWK/uMRo6WlmJSFBRVxU+rpaGfH60CApzWBOLo0aOsWLGCjz/+mNDQUEaMGMGgQYPkm1yIiyiKgslkwl+ODfc6p06d4q233uK7776jY8eOPP300zRp0sTZYXkUr0oGXN3p06dZuXIlO3bswM/PjyFDhjBs2DBC3ewgCyGqQ3JyMuPGjWP9+vUyEHiJ0tJSEhMTWb16NeHh4UyZMoVu3brJkkA1kGTABWVmZpKUlMTmzZvRarUMHDiQkSNHElnObY1CeKJVq1axdOlSvvnmGym69XCqqvL1118zd+5ccnJyGD16NHFxcbKEWo0kGXBheXl5fPDBB6xfvx6LxULfvn0ZPXo0derUcXZoQtS4qVOnkp+fz/vvv+/sUEQ1OnbsGG+++Sa//PILnTt3ZvLkyTRww9P93I0kA26gsLCQDRs2sHbtWoqKinjggQeIjY2lYcOGzg5NiBqhqir3338/PXv2ZOLEic4OR1QDo9HIsmXLWLNmDXXr1mXKlCl07tzZ2WF5jfKO3+53zqIHCQ4OZuzYsQwbNowtW7awevVqdu7ceeFQpObNmzs7RCGq1dmzZ8nOzqZ9+/bODkVUMVVV+fTTT3n77bcpLCzk4YcfZuTIkbLV2kVJMuACAgICGDlyJIMHD2b79u2sXLmSoUOH0qVLF8aOHVslPbiFcEVpaWkAcvCXhzl48CCzZ8/mv//9L3fddRdPPvmkLIO6OEkGXIjBYGDgwIH07duXjz/+mMTERMaMGcO//vWvC4ciCeFJ0tLSqF+/PhEREc4ORVSBwsJCFi9ezMaNG2nYsCGLFi2iY8eOzg5LlIMkAy7Ix8eHXr168cADD/DFF1+QmJjIuHHjuP7664mPj+fWW2+VLTjCI6SmptKuXTtnhyEqSVEUdu7cyYIFCzCZTEyaNIkhQ4agd1KPF+E4SQZcmFar5d577+Wee+7hu+++IyEhgUmTJtG6dWvi4+O54447pFWrcFtms5n9+/fzwAMPODsUUQl79uzhjTfe4M8//6RHjx489thj1KpVy9lhCQdJMuAGNBoNXbp0oXPnzvz2228sX76cp59+mqZNmxIfH88999wj+7OF29m7dy9Wq1WKB93UuXPnWLhwIdu2baN58+YsXbqUDh06ODssUUGSDLgRjUZDx44d6dixIykpKSxfvpznnnuOxYsXExsbywMPPCDTcsJtpKWl4evryzXXXOPsUIQDFEVh8+bNvPfee6iqytNPP82AAQPkhsTNSZ8BN7dv374LhyJFR0czZswY+vbti6+vr7NDE+KKpk6dyrlz51iyZImzQxHllJKSwhtvvMGBAwfo06cPjz76qBR/urjyjt+y4OzmWrVqxezZs9mwYQM33XQTb731Fr169WLlypUUFxc7OzwhLklVVdLS0qR40E1kZ2czY8YMxo4di4+PDytXruT555+XRMCDyMyAhzl16tSFQ5ECAgIYOnQoQ4cOlX834VLOnj1Lz549eeutt7jjjjucHY64DKvVyvr163n//ffR6/U89thj9O7dWwqX3YjMDHip+vXr8+yzz7J9+3YeeOABVq5cSc+ePZk/fz65ubnODk8I4H/NhmRmwHX9+uuvDBs2jHfeeYeePXuydetW+vbtK4mAh5ICQg8VHR3NlClTiIuLY+3atWzYsIF169bJoUjCJaSlpRETEyPTzC4oIyODefPm8cUXX3DdddeRlJREixYtnB2WqGayTOAlCgoKWL9+PR988AFGo/HCoUhyaphwhtjYWOrXr88rr7zi7FDEeWazmaSkJBISEggMDOTxxx/n/vvvlwZnbk6WCcRfhISE8NBDD7Fz504effRRvvvuOwYMGMBzzz3H4cOHnR2e8CJms5l9+/ZJfwEX8sMPPzBkyBDef/99Bg4cyJYtW+jRo4ckAl5Elgm8TEBAAKNGjWLw4MF8+OGHrFq1iiFDhtC1a1fi4+Np06aNs0MUHm7fvn1YrVapF3ABp0+f5q233uLbb7+lY8eOvPXWWzRt2tTZYQknkGTAS/n6+jJ48GD69evHxx9/zIoVKxg9ejS33nor8fHx0klMVBtpNuR8paWlrFy5kpUrVxIeHs4bb7zBnXfeKTMBXkySAS+n1+vp3bs3PXv25IsvvmD58uU89NBDdOjQgbFjx/Kvf/1LPiBElUpNTaVNmzb4+MjHT01TVZVvvvmGuXPnkp2dzahRo4iLi8Pf39/ZoQknk59GAfzvUKS7776b7777juXLlzNx4kTatGlDfHw8Xbp0kS1FokqkpaVx3333OTsMr3P8+HHefPNNfv75Z2677TYWLVokBcTiAkkGxF9otVruuOMOunTpwi+//EJCQgJPPfUUzZo1u3AokiQFoqIyMzPJzMyU4sEaZDQaWbZsGWvXrqV27drMmzePzp07Ozss4WIkGRCXpNFouOWWW7jllltITk4mISGBZ599lsWLFxMXF8f9998vhyIJh6WmpgLSbKgmqKrKZ599xttvv01BQQEPPfQQo0aNwmAwODs04YLkFk9c1fXXX8/8+fNZtWoVzZs3Z+bMmfTt25cNGzZgMpmcHZ5wI6mpqcTExBAZGensUDzaoUOHePjhh3n22Wdp164dmzZtYuzYsZIIiMuSZECUW5s2bXjzzTdZv349HTp0YM6cOfTq1YtVq1ZhNBqdHZ5wA3I4UfUqLCxkzpw5DB8+nJycHBYuXMjs2bOpW7eus0MTLk46EIoKO3nyJCtXrmTnzp0EBAQwbNgwhgwZIt8j4pLMZjN33HEHTzzxBEOGDHF2OB6l7BTIKVOmYDKZePDBBxk2bJgs5QnpQCiqX4MGDXjuuef48MMPuf/++0lMTKRnz54sWLBADkUS/7B//34sFovMDDjo888/58cff7zq45o1a8add97Jpk2bGD16tCQCwiGSDIhKq127Nk8//TQ7d+5k4MCBbNy4kV69ejFnzhwyMzPL9Rpms5lff/2VnJycao5WOEtaWhoGg0GaDZXTmTNnGDhwIN27d+fVV1+94s+SRqMhICCAf//730RHR9dglMJTSDIgqkxERASTJk1i586djBkzho8++ojevXvzyiuvYDabr/jcP/74gzfffJPbbruNESNGkJ2dXUNRi5pS1mxI7livrrS0lMTERMxmM++//z6fffYZH3/8MTab7bLPkeZgojIkGRBVLiQkhHHjxrFz504mTJhASUnJVauYW7RowaRJk3jsscf44IMP2L59O4qi1FDEoiakpaVJf4Fy8vPz46abbmL8+PE89NBDjB49mldffZUjR444OzThoaTPgKg2AQEBjB49GkVRUBTlis2KIiIi6Ny5M6tXr6ZDhw7ceeed0tzIg2RmZpKRkUHbtm2dHYrbuPvuuy/8DLz77rtER0eTmJjI888/L+2DRZWTT1tR7bRa7RUH9rINLQUFBSQmJjJ27Fhpk+ph0tLSAGRmwAFlPzNmsxl/f3/eeOMN5s+fz3/+8x8nRyY8kSQDwunK1kFnzJhB48aNuf/++9HpdE6OSlSl1NRU6tatS1RUlLNDcTtlS2wTJkygcePGvPXWWxd26xw7dsyJkQlPIsmAcCpVVfHx8cFkMrF48WIeeeQRmRXwQNJsqHKsVisAy5YtY+fOnaxZs4ZRo0YxcOBA9u7d6+TohCeQZEA4VdkSwcyZM6lduzY9e/aUo209jMViYd++fZIMXIWqqpctmi37mbjlllto0aIFjz/+OKmpqSxZsoTWrVvXZJjCQ0kyIJxCVVU++eQTfvrpJ2w2GwsWLODhhx+mSZMmzg5NVLH9+/djNpulXuAKfvzxR2bOnHnF2poDBw7QsmVLTp8+zdq1a0lJSeGGG26owSiFJ5NkQDiFqqp8++23dO7c+cKyQK9evS67B91isVy1V4FwTampqRgMBlq0aOHsUFxOeno6U6ZMYdKkSZw9e5bi4uLLPlan0zFixAhycnIYOnRoDUYpvIEkA8IptFots2bN4tixYwwYMACj0UhsbCzffvvtPxqrKIrCihUr6NWrF6tXr5ZDkdzM7t27ad26tTQbuojJZGLJkiUX1vxff/11Fi1aRGBg4GWf06xZM2bMmCHFtaJaSDIgnKphw4YsWLCAs2fPctNNN7Fq1ap/JANarZb777+f2267jXfffZeePXuybNkyCgsLnRS1cERqaqrUC5ynqirffPMNgwYNIjExkZEjR7J582buvvtu6SAonEpOLRQuxWazXfHO58yZM6xevZpt27ah1+sZPHgww4cPJzw8vAajFOWVlZXF/fffz+zZs7nzzjudHY5THT9+nDlz5vDTTz/RqVMnnnrqKRo2bOjssISHk1MLhVu62hRo3bp1mTp1Kjt27GDAgAGsW7eOnj17Mnfu3HIfiiRqTlmzIW+eGTAajSxYsIAhQ4Zw/Phx5s6dyzvvvCOJgHApMjMg3Fp+fj7r1q1j3bp1lJaW0qtXL8aMGUO9evWcHZoA3nnnHT777DN27drl7FBqnKqqfP7557z99tucO3eO+Ph4Ro0aha+vr7NDE16kvOO3bOgWbi00NJSHH36YkSNHsnHjRtasWcO2bdu47777iIuLk62KTpaamuqVWwoPHz7MG2+8wR9//EG3bt148skniYmJcXZYQlyWJAPCIwQGBhIbG8vQoUPZtm0bq1at4uOPP6Zbt26MHTuWli1bOjtEr2OxWNi7dy933XWXs0OpMYWFhSxZsoT169dTv359FixYwK233urssIS4KkkGhEfx8/Nj6NCh9O/fn127drFixQpGjBjBbbfdxtixY73yLtVZDhw44DXNhhRFYdeuXSxYsICSkhImTpzIsGHDZDulcBuSDAiPZDAY6NevH7179+azzz4jISGB+Ph4brrpJuLj47n55ptlK1c1S0tLQ6/Xe3yzoX379jF79mxSU1Pp3r07jz/+ONHR0c4OSwiHSDIgPJpOp+P++++ne/fufPPNNyxfvpwJEybQtm1bxo4dy+233y5JQTVJTU2ldevWF07d8zT5+fksWrSILVu20LRpU5YsWSLtgYXbkmRAeAWtVsudd95Jt27d+Omnn1i+fDlPPvkkLVq0IC4ujrvuuuuKfeGF49LS0jyyt4CiKGzbto13330XRVGYMmUKgwYNks6Awq1JMiC8ikajoVOnTtx6663897//ZdmyZfz73/+mUaNGxMXFcd9998mpiVUgOzubM2fOeFy9QGpqKrNnz2bfvn307t2biRMnEhER4eywhKg0uRUSXkmj0XDDDTewaNEiVqxYQaNGjXjxxRfp378/mzdvlkORKsnTmg3l5uby0ksvER8fj0ajITExkRkzZkgiIDyGNB0S4ryDBw+SmJjI559/TmRkJKNGjaJ///74+/s7OzS3M3/+fD755BM++ugjZ4dSKTabjQ0bNrB48WJ0Oh0TJ06kb9++sqQk3EZ5x29JBoT4m+PHj7NixQo++ugjgoKCGDFiBIMGDSI4ONjZobmNBx98kKioKF5//XVnh1Jh//nPf5g9ezZHjhxhwIABPPLII4SGhjo7LCEcImcTCFFBjRo14oUXXmDr1q3cc889LFu2jJ49e7Jo0SLy8vKcHZ7Ls1gs7Nmzx23rBTIzM5k+fToPP/wwgYGBrF69mmeeeUYSAeHRZGZAiKvIzs4mKSmJTZs2AdC/f39GjRpFrVq1nByZa9qzZw+jR48mISHBrRICi8XC2rVrWbZsGf7+/jz++OPcf//9siQg3JqcTSBEFYmKiuKJJ54gNjaWDz74gPXr17Nx40Z69+7NmDFjpOf835Q1G2rVqpWzQym3n376iTfffJNTp04xdOhQxo0bR1BQkLPDEqLGSDIgRDmFhYXxyCOPMGrUqAuHIm3dupX777+fuLg4Gjdu7OwQXUJqaiqtWrVyi2ZD6enpzJ07l2+++YabbrqJOXPm0LRpU2eHJUSNk2RACAcFBQURFxfH0KFD2bp1K6tXr+ajjz7irrvuIj4+3uPb715NWloaXbt2dXYYV2QymVi1ahWJiYmEhYXx2muvcffdd0s3SuG1JBkQooL8/f0ZPnw4AwcOZOfOnaxYsYLhw4fTuXNn4uPjPWaPvSNycnJIT0932feuqirfffcdc+bMITMzk1GjRhEXF0dAQICzQxPCqSQZEKKSDAYD/fv3p0+fPnz66ackJCQQFxfHzTffzNixY7nxxhu95o6zrNmQKxYOnjhxgjlz5vDjjz/SqVMn3n33XRo2bOjssIRwCZIMCFFFdDodPXr04L777uPrr79m+fLljB8/nvbt2xMfH89tt93m8UlBamoq0dHR1K5d29mhXFBSUkJCQgJJSUnUqlWLt956iy5dunj8v4UQjpBkQIgqptVqueuuu7jzzjv54YcfSEhI4IknnqBFixaMHTuWbt26eex2td27d7vMEoGqqnz++ee8/fbbnDt3jri4OMaMGYOvr6+zQxPC5XjmJ5IQLkCj0XD77bezfPlyFi9eTGhoKNOmTWPw4MHs2rULq9Xq7BCrlNVq5c8//3SJZODw4cOMHz+e6dOn06ZNGzZt2sS4ceMkERDiMmRmQIhqptFouOmmm7jppptIS0sjISGBF154gffff5/Y2Fh69uzpFtvwrubgwYOYTCan1gsUFRWxZMkS1q1bR/369Zk/fz6dOnVyWjxCuAuZGRCiBrVr14558+axdu1a2rRpw2uvvUafPn1Yu3YtJSUlzg6vUtLS0vDx8XFKsyFFUdi1axf9+/dn69atPProo6xbt04SASHKSdoRC+FEx44du3AoUkhICMOHD2fw4MFu2f3u+eef5+TJk6xYsaJGr7t//37eeOMNUlNT6d69O48//jjR0dE1GoMQrkpOLRTCjaSnp7Ny5Uq2b9+Or68vQ4YMYdiwYYSFhTk7tHLr06cPXbp0YcqUKTVyvYKCAhYtWsTmzZtp2rQpU6dO5cYbb6yRawvhLiQZEMINZWZmkpSUxJYtW9BoNAwYMICRI0cSFRXl7NCuKDc3l3vvvZdZs2Zx7733Vuu1FEVh27ZtLFy4EKvVyvjx4xk0aBA+PlICJcTfyUFFQrih6OhoJk+eTFxc3IVDkTZs2EDv3r0ZPXq0yx6KVFPNhtLS0pg9ezZ79+6lV69ePPbYY0RERFTrNYXwBjIzIIQLKywsvHAoUlFRET169CA2NpZGjRrVbCCZmbBnD+zdCwcOwLlzYLWCry/ExPDZiRNsP3CABZ9/jiYwsMovn5uby7vvvsv27dtp1aoVU6dOdckuh0K4GlkmEMKDlJSUsGXLFlavXk1OTg5333038fHxXHPNNdV3UbMZvvwS1q6Fn36CkhJQFPvflXXvO//xkZ+fj+LjQ3ijRjBgAAweDG3aVDoEm83Gxo0bWbx4MVqtlokTJ9K3b1+PbdokRFWTZEAID2Q2m9mxYwcrVqzgzJkzdOnShfj4eNq2bVt1F1EU2LoV5s6FY8fs/x0cDP7+4OPzv0TgPBXYv3cvtcPDCffxgdJS+2Nvuw1mzIAKnuL4xx9/MHv2bA4fPkz//v2ZMGECoaGhlX9/QngRSQaE8GBWq5VPPvmExMREjh8/TseOHRk7diw33HBD5Xrup6fDiy/CRx/Z7/ojIuxLAVdQUlrK0aNHady4MQH+/vbnFRVBfj6Eh8MTT0B8POj15QohMzOTd955h08//ZR27doxbdo0p/QuEMITSDIghBdQFIUvv/yShIQEDh48SPv27XnwwQe59dZbHU8KfvoJJk6E06ftg3g51/5z8/LIyMigZcuWaC++pqpCdjZYLHDHHfDee3CFrZIWi4UPPviApUuX4u/vz6RJk+jRo4csCQhRCZIMCOFFVFXl+++/Z/ny5ezevZtWrVoRHx9P165dyzeYfvstjB8PeXlQpw7odOW+9un0dMwmE02aNLn0A0pKICcHOnaEFSvssw1/8/PPP/Pmm29y8uRJhg4dyrhx49yy8ZIQrkaSASG8kKqq/PbbbyQkJPD777/TtGlTYmNj6d69O7rLDfB//AGjR0NuLtSt+4+agKs5dOgQQcHB1LnSscVms31HQufOsHIlBAQAcObMGebNm8dXX33FDTfcwLRp02jWrJlD1xdCXJ4kA0J4udTUVJYvX84PP/xAvXr1iI2N5YEHHvjroUhFRdC7t33bYEwMODglb7VaOXDwIPXq1SP0ap8NpaX2GYLHH8c8eTKrVq0iISGBsLAwnnjiCe65557K1TsIIf5BkgEhBGDv3Z+QkMBXX31FrVq1GDVqFP369cPPzw9mzoRFi6B27XIX+F2ssKiIkydP0rx5cwzleL6am0upycRzzZrxg9nMiBEjGDt2LAHnZwqEEFVLkgEhxF8cPXqUxMREPvnkE0JDQ5l06608sGoVWp3OXjBYAZmZmZzLz+eaa67havf0JrOZjLNn8c/LI7tuXQK+/JJG1dknQQhR7vFbynSF8BJNmjRh5syZbN26lW7dumFasoRz6elkWixYbbYKvWZJSQn+/v5XTAQURSEzK4sjR45gMpvxr1+fVjYbjY4cqdgbEUJUOUkGhPAy9erVY/ro0fQNCEATEkJubi6HDh0iIzMTq9Va7tdRgaSCAnrl5TH4EgO7iv2u5PDhw+Tk5BAVGUmzZs0IioxEoyjwwQdV96aEEJUiBxUJ4Y22bsWnpITwhg0JVhRyc3PJzcsjNzeX8LAwIiMj0V+lBuBkURGbrVYCL9GUyGQycTYjg+LiYoKDg6ldu/ZfawqCg+G77+DQIWjevKrfnRDCQZIMCOGNvvvOvoVQq8VHqyU6OprIyMgLCUFeXh6h55MC34t3H1xkXkYGLbRaggMCyD9/ZoFNUcjOyiI3Nxe9wUDDBg0u3S8gONje7fDXXyUZEMIFSDIghLexWOxbCf38/vJlnU5HragoIiIiOHfuHDk5OeSfO0dwSAhRUVH4XTQD8IfRyNfFxcwLDOSD89sB8/PzycjMRLHZqBUdTURExF87El6s7Ov79lXLWxRCOEaSASG8zeHD9v4Cl9nOp9NqiYyIIDw8/EJScOTIEYKDg4mKisLX15c3z57lLp2O1kFB2IxGiouLOW0yERISQu3atdH7lOOjRaezNzwSQjidJANCeJuTJ+0dAa+ynVCr0RARHk54WBj5+flk5+Rw9OhRvtbpOGW1MgkoLS2lsKAAVaulUaNGBDrSL8BgsJ+KKIRwOkkGhPA2JpP9WOJydhvUaDSEhYURGhbGybw8kk6coLdGg6/NRolOh19AAOh0jiUCYL++xQI2m0NnIQghqp4kA0J4mwq2/NUAa0pLqRMUxMPR0egBP39//E6fprSCfQoqE48QoupInwEhvI2fn/2u3MEB/ITZzNZz5xgaHk6pry+Fvr5kKQpmVcWqqqSbzRQ48pqKAr6+Dp+HIISoejIzIIS3adLEPgibTFCeQr/zsiwWFODNjAzezMj4x9/3PnyYYRERTLnS6YUXKy2FDh3KfX0hRPWRZEAIb9O4MYSGQn4+BAaW+2nNfH2ZU7/+P76+KCsLo6LwVO3a1Hf0sKPrr3fs8UKIaiHJgBDeRquF9u3h888delqYjw9dg4P/8fW1ubkAl/y7y1IU+682bRyKQQhRPWSxTghv1LWr/ffKFP5VRkEBhITArbc65/pCiL+QZEAIb9S3r73PQH5+pV9qSaNGbGjatPxPUFV706Pu3SEmptLXF0JUniQDQnijiAh7QmA02gfnmlRSYm84NHRozV5XCHFZkgwI4a1iY+2FhNnZNXdNRYHcXPvygCwRCOEyJBkQwlu1aAFPPGHvAlhaWjPXzM62z0q88or0FxDChchPoxDebOxY+Ne/7IN0dRcTFhfbrzF5MlxzTfVeSwjhEEkGhPBmBgPMnWtvRHTmTPUlBEYjnDsH/frZlyeEEC5FkgEhvF2TJrB8OTRqZE8IzOaqff2CAsjLg9694a23HOp6KISoGZIMCCHszX/WroV27SAz0z54V3aXgc0G6en2tsejR8OCBfY2yEIIlyPJgBDCrlkz+PBDeOwx+3+fPg2FhY4nBTYb5OTYZxkaNoTFi+H11+1LEkIIlyTJgBDifwIC4Nln4YMPoFs3+5LB6dOQlfW/AsC/U1X74woK7AnA2bP21xk3Dnbtgvvvl2OKhXBxsngnhPinjh3tCcGePbBhA2zfbi8APHfufwO7qtr/rKqg09mPRm7b1t5MqE8f+xZCIYRb0Kjq1ecACwoKCA0NJT8/n5CQkJqISwjhShQFjh2DffvgwAF7O2Gr1T71X6sWtG5t/xUZ6exIhRAXKe/4LTMDQoir02qhaVP7rx49nB2NEKKKSc2AEEII4eUkGRBCCCG8nCQDQgghhJeTZEAIIYTwcpIMCCGEEF5OkgEhhBDCy0kyIIQQQng5SQaEEEIILyfJgBBCCOHlJBkQQgghvJwkA0IIIYSXk2RACCGE8HLlOqio7GDDgoKCag1GCCGEEFWnbNy+2gHF5UoGCgsLAWjQoEElwxJCCCFETSssLCQ0NPSyf69Rr5YuAIqikJ6eTnBwMBqNpkoDFEIIIUT1UFWVwsJCYmJi0GovXxlQrmRACCGEEJ5LCgiFEEIILyfJgBBCCOHlJBkQQgghvJwkA0IIIYSXk2RACCGE8HKSDAghhBBeTpIBIYQQwsv9P7yfrli54Rb2AAAAAElFTkSuQmCC",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- }
- ],
- "source": [
- "w = np.zeros([n, n])\n",
- "for i in range(n):\n",
- " for j in range(n):\n",
- " temp = G.get_edge_data(i, j, default=0)\n",
- " if temp != 0:\n",
- " w[i, j] = temp[\"weight\"]\n",
- "\n",
- "best_cost_brute = 0\n",
- "for b in range(2**n):\n",
- " x = [int(t) for t in reversed(list(bin(b)[2:].zfill(n)))]\n",
- " cost = 0\n",
- " for i in range(n):\n",
- " for j in range(n):\n",
- " cost = cost + w[i, j] * x[i] * (1 - x[j])\n",
- " if best_cost_brute < cost:\n",
- " best_cost_brute = cost\n",
- " xbest_brute = x\n",
- " # print(\"case = \" + str(x) + \" cost = \" + str(cost))\n",
- "\n",
- "colors = [\"r\" if xbest_brute[i] == 0 else \"c\" for i in range(n)]\n",
- "draw_graph(G, colors, nx.spring_layout(G))\n",
- "print(\"\\nBest solution = \" + str(xbest_brute) +\n",
- " \" cost = \" + str(best_cost_brute))"
- ]
- },
{
"cell_type": "markdown",
"id": "2XFZWfUQ7LjQ",
@@ -570,70 +559,19 @@
"id": "1qWxawI-7aie"
},
"source": [
- "# **Using Aer Simulator backend**\n",
+ "# Using Aer Simulator backend\n",
"\n",
"Alternatively run this cell to run the algorithm locally\n"
]
},
{
"cell_type": "code",
- "execution_count": 47,
+ "execution_count": null,
"id": "peI2wNGYsiYU",
"metadata": {
"id": "peI2wNGYsiYU"
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Iters. done: 1, Params: [4.92743112 2.7353827 ], Current cost: 3.9781\n",
- "Iters. done: 2, Params: [5.92743112 2.7353827 ], Current cost: 0.37054999999999993\n",
- "Iters. done: 3, Params: [5.92743112 3.7353827 ], Current cost: 0.28575\n",
- "Iters. done: 4, Params: [6.92715496 3.75888246], Current cost: 0.13604000000000002\n",
- "Iters. done: 5, Params: [7.36081198 4.00776313], Current cost: -0.11740999999999988\n",
- "Iters. done: 6, Params: [7.44274248 4.50100485], Current cost: 0.09658\n",
- "Iters. done: 7, Params: [7.78251523 3.73912514], Current cost: -0.53819\n",
- "Iters. done: 8, Params: [8.16704816 3.41954036], Current cost: -0.7970300000000001\n",
- "Iters. done: 9, Params: [8.14894243 2.91986829], Current cost: -0.8332500000000002\n",
- "Iters. done: 10, Params: [8.64281058 2.84180261], Current cost: 0.15068000000000004\n",
- "Iters. done: 11, Params: [7.89894243 2.91983131], Current cost: -0.9253899999999999\n",
- "Iters. done: 12, Params: [7.65209951 2.88022607], Current cost: -0.87311\n",
- "Iters. done: 13, Params: [7.89896092 2.79483131], Current cost: -0.8297899999999998\n",
- "Iters. done: 14, Params: [7.79037802 3.14502849], Current cost: -0.99682\n",
- "Iters. done: 15, Params: [7.98335393 3.30396337], Current cost: -0.9430199999999997\n",
- "Iters. done: 16, Params: [7.55357518 3.22518096], Current cost: -0.91191\n",
- "Iters. done: 17, Params: [7.6719766 3.18510472], Current cost: -0.9663900000000001\n",
- "Iters. done: 18, Params: [7.80374499 3.08397463], Current cost: -0.9943799999999998\n",
- "Iters. done: 19, Params: [7.84926346 3.16597494], Current cost: -0.99918\n",
- "Iters. done: 20, Params: [7.8785583 3.22118421], Current cost: -0.9901200000000002\n",
- "Iters. done: 21, Params: [7.86392161 3.13837601], Current cost: -0.9999699999999998\n",
- "Iters. done: 22, Params: [7.87938268 3.13611854], Current cost: -0.9996700000000003\n",
- "Iters. done: 23, Params: [7.85582586 3.1250119 ], Current cost: -0.9996799999999997\n",
- "Iters. done: 24, Params: [7.86051069 3.14540458], Current cost: -0.99988\n",
- "Iters. done: 25, Params: [7.86122033 3.13555433], Current cost: -0.9999000000000001\n",
- "Iters. done: 26, Params: [7.8678278 3.13835323], Current cost: -0.99987\n",
- "Iters. done: 27, Params: [7.86302576 3.14011156], Current cost: -0.9998699999999997\n",
- "Iters. done: 28, Params: [7.86479021 3.13792968], Current cost: -0.99987\n",
- "Iters. done: 29, Params: [7.86316227 3.13776195], Current cost: -0.9998199999999999\n",
- "Iters. done: 30, Params: [7.86393473 3.13886411], Current cost: -0.9997300000000001\n",
- "Iters. done: 31, Params: [7.86377479 3.13818095], Current cost: -0.9998800000000001\n",
- "Iters. done: 32, Params: [7.86414819 3.13828508], Current cost: -0.9998999999999998\n",
- "Iters. done: 33, Params: [7.86390405 3.13847446], Current cost: -0.9998100000000002\n",
- "Iters. done: 34, Params: [7.86387239 3.13836723], Current cost: -0.9998400000000001\n",
- "Iters. done: 35, Params: [7.86401466 3.13833937], Current cost: -0.99992\n",
- "\n",
- "intermediate_data [#iterations: 35 , cost: -0.99992, params:[7.86401466 3.13833937]]\n",
- "res message: Optimization terminated successfully.\n",
- " success: True\n",
- " status: 1\n",
- " fun: -0.99992\n",
- " x: [ 7.864e+00 3.138e+00]\n",
- " nfev: 35\n",
- " maxcv: 0.0\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"from qiskit import Aer, QuantumCircuit, transpile, assemble\n",
"from qiskit_aer.primitives import Estimator as AerEstimator\n",
@@ -675,7 +613,7 @@
},
{
"cell_type": "code",
- "execution_count": 48,
+ "execution_count": 65,
"id": "M0rwqNMTA3CF",
"metadata": {
"colab": {
@@ -690,17 +628,23 @@
"name": "stdout",
"output_type": "stream",
"text": [
- "optimal parameters [7.86401466 3.13833937]\n"
+ "optimal parameters [ 9.78925653e-01 -2.70684767e+00 1.31249178e+00 4.91638883e+00\n",
+ " 3.02855848e+00 7.28518423e-01 -6.29047667e+00 -1.00626371e-03\n",
+ " -3.14051102e+00 -1.95241705e+00 3.58479734e+00 3.93126223e+00\n",
+ " -1.12193337e+00 -2.70469277e+00 -4.81259013e+00 -3.36043807e+00\n",
+ " 3.14435333e+00 6.27871781e+00 1.27469440e+00 -6.60188695e-03\n",
+ " -5.10919091e+00 1.80833062e+00 4.35513847e-01 3.80510229e+00]\n",
+ "{'010101': 9987, '101000': 11, '101001': 1, '101100': 1}\n"
]
},
{
"data": {
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",
"text/plain": [
- ""
+ ""
]
},
- "execution_count": 48,
+ "execution_count": 65,
"metadata": {},
"output_type": "execute_result"
}
@@ -728,42 +672,7 @@
"# Get the final state\n",
"final_state = result.get_counts()\n",
"\n",
- "t_ansatz_qc.draw(output='mpl', style='clifford')"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 49,
- "id": "a9it6OL0LliX",
- "metadata": {
- "colab": {
- "base_uri": "https://localhost:8080/",
- "height": 507
- },
- "id": "a9it6OL0LliX",
- "outputId": "4ff6e8e6-4e0a-4047-d7ce-5561fd27f7d0"
- },
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "{'110101': 9995, '100101': 1, '110001': 1, '001010': 2, '001101': 1}\n"
- ]
- },
- {
- "data": {
- "image/png": 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",
- "text/plain": [
- ""
- ]
- },
- "execution_count": 49,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
- "source": [
+ "# t_ansatz_qc.draw(output='mpl', style='clifford')\n",
"print(final_state)\n",
"plot_histogram(final_state)"
]
@@ -782,7 +691,7 @@
},
{
"cell_type": "code",
- "execution_count": 52,
+ "execution_count": 66,
"id": "8501d609",
"metadata": {
"colab": {
@@ -795,7 +704,7 @@
"outputs": [
{
"data": {
- "image/png": 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",
+ "image/png": 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",
"text/plain": [
""
]
@@ -810,9 +719,10 @@
"transposed_array = list(zip(*intermediate_data['params_history']))\n",
"column_lists = [list(column) for column in transposed_array]\n",
"\n",
- "# Comment out this for loop for very large number of parameters since graph becomes very messy\n",
- "for i, p in enumerate(column_lists):\n",
- " ax.plot(p, label='Param {}'.format(i))\n",
+ "# To avoid the graph becoming messy\n",
+ "if(num_params < 5):\n",
+ " for i, p in enumerate(column_lists):\n",
+ " ax.plot(p, label='Param {}'.format(i))\n",
"\n",
"ax.plot(range(intermediate_data['iters']),\n",
" intermediate_data['cost_history'], label='Cost')\n",
diff --git a/vqe.png b/vqe.png
new file mode 100644
index 0000000..5c5cd09
Binary files /dev/null and b/vqe.png differ