diff --git a/MaxCut/10_nodes_CVaR_Comparison.ipynb b/MaxCut/10_nodes_CVaR_Comparison.ipynb
new file mode 100644
index 0000000..41b6972
--- /dev/null
+++ b/MaxCut/10_nodes_CVaR_Comparison.ipynb
@@ -0,0 +1,1124 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 49,
+   "id": "f4edc85e",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#run: pip install openquantumcomputing\n",
+    "import sys\n",
+    "from openquantumcomputing.QAOAMaxCut import QAOAMaxCut"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 50,
+   "id": "81310eb6",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from qiskit import *\n",
+    "import numpy as np\n",
+    "import networkx as nx\n",
+    "\n",
+    "import matplotlib.pyplot as pl\n",
+    "from mpl_toolkits.axes_grid1 import make_axes_locatable\n",
+    "from qiskit.visualization import *"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 51,
+   "id": "eaa8c8a1",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Load graph from file\n",
+    "# Its connectivity is fixed but its graphical layout is new for each 'nx.spring_layout'\n",
+    "\n",
+    "numV=10\n",
+    "G = nx.read_gml(\"../../data/sample_graphs/w_ba_n\"+str(numV)+\"_k4_0.gml\")\n",
+    "#numV=5\n",
+    "#G = nx.read_gml(\"../../data/sample_graphs/w_ba_n\"+str(numV)+\"_k2_0.gml\")\n",
+    "pos = nx.spring_layout(G)\n",
+    "nx.draw_networkx(G,pos=pos)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 52,
+   "id": "75d8e6d2",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "#  Initialize QAOA object\n",
+    "alpha = 0.01     # value for CVaR (Conditional Value at Risk)\n",
+    "params={'G': G, 'alpha': alpha}\n",
+    "qaoamc_cvar = QAOAMaxCut(params=params)\n",
+    "params={'G': G}\n",
+    "qaoamc = QAOAMaxCut(params=params)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 53,
+   "id": "9e337fd3",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "minimum cost= -8.657714089848158\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Solve the problem brute force by testing all possibilities of cuts, computing the cost (cut-weight) of all of them, and taking min\n",
+    "import itertools\n",
+    "costs=[]\n",
+    "for s in [''.join(i) for i in itertools.product('01', repeat =numV)]:\n",
+    "    tmp=-qaoamc.cost(s)\n",
+    "    costs.append(tmp)\n",
+    "mincost=min(costs)\n",
+    "print(\"minimum cost=\",mincost)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 54,
+   "id": "58a67b33",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 2500x1000 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# Make histogram with the cost of all possible choices of cuts\n",
+    "\n",
+    "max_val=max(costs)\n",
+    "\n",
+    "pl.figure(figsize=(25,10))\n",
+    "_=pl.hist(np.sort(costs), bins=10)# bins=100)\n",
+    "min_ylim, max_ylim = pl.ylim()\n",
+    "max_ylim *=1.025\n",
+    "mean=np.mean(costs)\n",
+    "pl.axvline(mean, color='k', linestyle='dashed', linewidth=2)\n",
+    "_=pl.text(mean-1, max_ylim, 'mean = {:.2f}'.format(mean))\n",
+    "_=pl.xticks(np.arange(mincost, max_val, step=1))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 55,
+   "id": "44c4dbb3",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Quantum computer simulator \n",
+    "qasm_sim = Aer.get_backend('qasm_simulator')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 56,
+   "id": "f10939f8",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Calculating Energy landscape for depth p=1...\n",
+      "Calculating Energy landscape done\n",
+      "Calculating Energy landscape for depth p=1...\n",
+      "Calculating Energy landscape done\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Evaluating the QAOA circuit with uniformly sampled angles for gamma and beta, just to see how sampling measurements from \n",
+    "# the circuits roughly looks like.\n",
+    "qaoamc.sample_cost_landscape(qasm_sim, 1024, angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n",
+    "qaoamc_cvar.sample_cost_landscape(qasm_sim, 1024, angles={\"gamma\": [0,np.pi/2,10], \"beta\": [0,np.pi/2,10]})\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 57,
+   "id": "9179d17f",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Testing CVaR for various values of alpha\n",
+    "\n",
+    "#orig_alpha = qaoamc.stat.alpha\n",
+    "#print(\"E: \\t\", qaoamc.stat.get_E())\n",
+    "##print(\"CVaR: \\t\", qaoamc.stat.get_CVaR())\n",
+    "#for a in [0.999, 0.99, 0.9, 0.7, 0.5, 0.1, 3.0/1024]:\n",
+    "#    qaoamc.stat.alpha = a\n",
+    "#    print(\"CVaR: \\t\", qaoamc.stat.get_CVaR(), \"alpha: \", a)\n",
+    "#qaoamc.stat.alpha = orig_alpha"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 58,
+   "id": "716cab24",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([6, 7, 8, 9])"
+      ]
+     },
+     "execution_count": 58,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "t = np.arange(10)\n",
+    "t[-4:]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 59,
+   "id": "3d64c986",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "EdgeView([('0', '4'), ('0', '7'), ('1', '4'), ('1', '5'), ('1', '6'), ('2', '4'), ('2', '5'), ('2', '6'), ('2', '7'), ('2', '9'), ('3', '4'), ('3', '5'), ('3', '6'), ('3', '8'), ('4', '5'), ('4', '7'), ('4', '8'), ('4', '9'), ('5', '6'), ('5', '7'), ('5', '8'), ('5', '9'), ('7', '8'), ('8', '9')])"
+      ]
+     },
+     "execution_count": 59,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "nx.draw_networkx(G,pos=pos)\n",
+    "G.edges()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "a981c694",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 60,
+   "id": "9935977d",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">          ┌───┐                                                                »\n",
+       " q7340_0: ┤ H ├──■───────────────────■────■─────────────────────────────────■──»\n",
+       "          ├───┤  │                   │    │                                 │  »\n",
+       " q7340_1: ┤ H ├──┼───────────────────┼────┼─────────■───────────────────────┼──»\n",
+       "          ├───┤  │                   │    │         │                       │  »\n",
+       " q7340_2: ┤ H ├──┼───────────────────┼────┼─────────┼───────────────────────┼──»\n",
+       "          ├───┤  │                   │    │         │                       │  »\n",
+       " q7340_3: ┤ H ├──┼───────────────────┼────┼─────────┼───────────────────────┼──»\n",
+       "          ├───┤┌─┴─┐┌─────────────┐┌─┴─┐  │       ┌─┴─┐     ┌────────────┐  │  »\n",
+       " q7340_4: ┤ H ├┤ X ├┤ Rz(0.25969) ├┤ X ├──┼───────┤ X ├─────┤ Rz(0.4027) ├──┼──»\n",
+       "          ├───┤└───┘└─────────────┘└───┘  │       └───┘     └────────────┘  │  »\n",
+       " q7340_5: ┤ H ├───────────────────────────┼─────────────────────────────────┼──»\n",
+       "          ├───┤                           │                                 │  »\n",
+       " q7340_6: ┤ H ├───────────────────────────┼─────────────────────────────────┼──»\n",
+       "          ├───┤                         ┌─┴─┐┌─────────────┐              ┌─┴─┐»\n",
+       " q7340_7: ┤ H ├─────────────────────────┤ X ├┤ Rz(0.53757) ├──────────────┤ X ├»\n",
+       "          ├───┤                         └───┘└─────────────┘              └───┘»\n",
+       " q7340_8: ┤ H ├────────────────────────────────────────────────────────────────»\n",
+       "          ├───┤                                                                »\n",
+       " q7340_9: ┤ H ├────────────────────────────────────────────────────────────────»\n",
+       "          └───┘                                                                »\n",
+       "c1225: 10/═════════════════════════════════════════════════════════════════════»\n",
+       "                                                                               »\n",
+       "«          ┌──────────┐                                  ┌─┐               »\n",
+       "« q7340_0: ┤ Rx(-0.8) ├──────────────────────────────────┤M├───────────────»\n",
+       "«          └──────────┘                                  └╥┘               »\n",
+       "« q7340_1: ─────■────────■────────────────────────────────╫───■─────────■──»\n",
+       "«               │        │                                ║   │         │  »\n",
+       "« q7340_2: ─────┼────────┼─────────■──────────────────────╫───┼────■────┼──»\n",
+       "«               │        │         │                      ║   │    │    │  »\n",
+       "« q7340_3: ─────┼────────┼─────────┼──────────────────────╫───┼────┼────┼──»\n",
+       "«             ┌─┴─┐      │       ┌─┴─┐     ┌────────────┐ ║   │  ┌─┴─┐  │  »\n",
+       "« q7340_4: ───┤ X ├──────┼───────┤ X ├─────┤ Rz(0.6863) ├─╫───┼──┤ X ├──┼──»\n",
+       "«             └───┘    ┌─┴─┐┌────┴───┴────┐└────────────┘ ║ ┌─┴─┐└───┘  │  »\n",
+       "« q7340_5: ────────────┤ X ├┤ Rz(0.65579) ├───────────────╫─┤ X ├───────┼──»\n",
+       "«                      └───┘└─────────────┘               ║ └───┘     ┌─┴─┐»\n",
+       "« q7340_6: ───────────────────────────────────────────────╫───────────┤ X ├»\n",
+       "«                                                         ║           └───┘»\n",
+       "« q7340_7: ───────────────────────────────────────────────╫────────────────»\n",
+       "«                                                         ║                »\n",
+       "« q7340_8: ───────────────────────────────────────────────╫────────────────»\n",
+       "«                                                         ║                »\n",
+       "« q7340_9: ───────────────────────────────────────────────╫────────────────»\n",
+       "«                                                         ║                »\n",
+       "«c1225: 10/═══════════════════════════════════════════════╩════════════════»\n",
+       "«                                                         0                »\n",
+       "«                                                                             »\n",
+       "« q7340_0: ───────────────────────────────────────────────────────────────────»\n",
+       "«                                                            ┌──────────┐     »\n",
+       "« q7340_1: ───────────────────────────────────────────────■──┤ Rx(-0.8) ├─────»\n",
+       "«                                                         │  └──────────┘     »\n",
+       "« q7340_2: ───────■───────────────────────────────────────┼───────■───────────»\n",
+       "«                 │                                       │       │           »\n",
+       "« q7340_3: ───────┼──────────────■────────────────────────┼───────┼────────■──»\n",
+       "«                 │            ┌─┴─┐      ┌────────────┐  │       │      ┌─┴─┐»\n",
+       "« q7340_4: ───────┼────────────┤ X ├──────┤ Rz(0.4517) ├──┼───────┼──────┤ X ├»\n",
+       "«               ┌─┴─┐     ┌────┴───┴─────┐└────────────┘  │     ┌─┴─┐    └───┘»\n",
+       "« q7340_5: ─────┤ X ├─────┤ Rz(0.087113) ├────────────────┼─────┤ X ├─────────»\n",
+       "«          ┌────┴───┴────┐└──────────────┘              ┌─┴─┐   └───┘         »\n",
+       "« q7340_6: ┤ Rz(0.13518) ├──────────────────────────────┤ X ├─────────────────»\n",
+       "«          └─────────────┘                              └───┘                 »\n",
+       "« q7340_7: ───────────────────────────────────────────────────────────────────»\n",
+       "«                                                                             »\n",
+       "« q7340_8: ───────────────────────────────────────────────────────────────────»\n",
+       "«                                                                             »\n",
+       "« q7340_9: ───────────────────────────────────────────────────────────────────»\n",
+       "«                                                                             »\n",
+       "«c1225: 10/═══════════════════════════════════════════════════════════════════»\n",
+       "«                                                                             »\n",
+       "«                                                                             »\n",
+       "« q7340_0: ───────────────────────────────────────────────────────────────────»\n",
+       "«                                            ┌─┐                              »\n",
+       "« q7340_1: ──────────────────────────────────┤M├──────────────────────────────»\n",
+       "«                                            └╥┘                              »\n",
+       "« q7340_2: ──■────────────────────────────────╫───■─────────■─────────────────»\n",
+       "«            │                                ║   │         │                 »\n",
+       "« q7340_3: ──┼─────────■──────────────────────╫───┼────■────┼─────────■───────»\n",
+       "«            │         │                      ║   │    │    │         │       »\n",
+       "« q7340_4: ──┼─────────┼──────────────────────╫───┼────┼────┼─────────┼───────»\n",
+       "«            │       ┌─┴─┐     ┌────────────┐ ║   │  ┌─┴─┐  │         │       »\n",
+       "« q7340_5: ──┼───────┤ X ├─────┤ Rz(0.1814) ├─╫───┼──┤ X ├──┼─────────┼───────»\n",
+       "«          ┌─┴─┐┌────┴───┴────┐└────────────┘ ║ ┌─┴─┐└───┘  │       ┌─┴─┐     »\n",
+       "« q7340_6: ┤ X ├┤ Rz(0.23687) ├───────────────╫─┤ X ├───────┼───────┤ X ├─────»\n",
+       "«          └───┘└─────────────┘               ║ └───┘     ┌─┴─┐┌────┴───┴────┐»\n",
+       "« q7340_7: ───────────────────────────────────╫───────────┤ X ├┤ Rz(0.27085) ├»\n",
+       "«                                             ║           └───┘└─────────────┘»\n",
+       "« q7340_8: ───────────────────────────────────╫───────────────────────────────»\n",
+       "«                                             ║                               »\n",
+       "« q7340_9: ───────────────────────────────────╫───────────────────────────────»\n",
+       "«                                             ║                               »\n",
+       "«c1225: 10/═══════════════════════════════════╩═══════════════════════════════»\n",
+       "«                                             1                               »\n",
+       "«                                                                           »\n",
+       "« q7340_0: ─────────────────────────────────────────────────────────────────»\n",
+       "«                                                                           »\n",
+       "« q7340_1: ─────────────────────────────────────────────────────────────────»\n",
+       "«                                                                           »\n",
+       "« q7340_2: ────────────────────────────────■──────────────■─────────────────»\n",
+       "«                                          │              │                 »\n",
+       "« q7340_3: ────────────────────────────────┼────■─────────┼─────────■───────»\n",
+       "«                                          │    │         │         │       »\n",
+       "« q7340_4: ───────■────────────────────────┼────┼────■────┼─────────┼───────»\n",
+       "«               ┌─┴─┐     ┌─────────────┐  │    │  ┌─┴─┐  │         │       »\n",
+       "« q7340_5: ─────┤ X ├─────┤ Rz(0.50196) ├──┼────┼──┤ X ├──┼─────────┼───────»\n",
+       "«          ┌────┴───┴────┐└─────────────┘  │  ┌─┴─┐└───┘  │         │       »\n",
+       "« q7340_6: ┤ Rz(0.34123) ├─────────────────┼──┤ X ├───────┼─────────┼───────»\n",
+       "«          └─────────────┘               ┌─┴─┐└───┘       │         │       »\n",
+       "« q7340_7: ──────────────────────────────┤ X ├────────────┼─────────┼───────»\n",
+       "«                                        └───┘            │       ┌─┴─┐     »\n",
+       "« q7340_8: ───────────────────────────────────────────────┼───────┤ X ├─────»\n",
+       "«                                                       ┌─┴─┐┌────┴───┴────┐»\n",
+       "« q7340_9: ─────────────────────────────────────────────┤ X ├┤ Rz(0.39897) ├»\n",
+       "«                                                       └───┘└─────────────┘»\n",
+       "«c1225: 10/═════════════════════════════════════════════════════════════════»\n",
+       "«                                                                           »\n",
+       "«                                                                         »\n",
+       "« q7340_0: ───────────────────────────────────────────────────────────────»\n",
+       "«                                                                         »\n",
+       "« q7340_1: ───────────────────────────────────────────────────────────────»\n",
+       "«                                                             ┌──────────┐»\n",
+       "« q7340_2: ────────────────────────────────────────────────■──┤ Rx(-0.8) ├»\n",
+       "«                                                          │  └──────────┘»\n",
+       "« q7340_3: ────────────────────────────────────────────────┼───────■──────»\n",
+       "«                                                          │       │      »\n",
+       "« q7340_4: ───────■────────────────────────────────────────┼───────┼──────»\n",
+       "«                 │                                        │       │      »\n",
+       "« q7340_5: ───────┼──────────────■─────────────────────────┼───────┼──────»\n",
+       "«                 │            ┌─┴─┐     ┌──────────────┐  │       │      »\n",
+       "« q7340_6: ───────┼────────────┤ X ├─────┤ Rz(0.096925) ├──┼───────┼──────»\n",
+       "«               ┌─┴─┐     ┌────┴───┴────┐└──────────────┘  │       │      »\n",
+       "« q7340_7: ─────┤ X ├─────┤ Rz(0.51693) ├──────────────────┼───────┼──────»\n",
+       "«          ┌────┴───┴────┐└─────────────┘                  │     ┌─┴─┐    »\n",
+       "« q7340_8: ┤ Rz(0.75671) ├─────────────────────────────────┼─────┤ X ├────»\n",
+       "«          └─────────────┘                               ┌─┴─┐   └───┘    »\n",
+       "« q7340_9: ──────────────────────────────────────────────┤ X ├────────────»\n",
+       "«                                                        └───┘            »\n",
+       "«c1225: 10/═══════════════════════════════════════════════════════════════»\n",
+       "«                                                                         »\n",
+       "«                                                                            »\n",
+       "« q7340_0: ──────────────────────────────────────────────────────────────────»\n",
+       "«                                                                            »\n",
+       "« q7340_1: ──────────────────────────────────────────────────────────────────»\n",
+       "«                                                              ┌─┐           »\n",
+       "« q7340_2: ────────────────────────────────────────────────────┤M├───────────»\n",
+       "«          ┌──────────┐                                        └╥┘┌─┐        »\n",
+       "« q7340_3: ┤ Rx(-0.8) ├─────────────────────────────────────────╫─┤M├────────»\n",
+       "«          └──────────┘                                         ║ └╥┘        »\n",
+       "« q7340_4: ─────■─────────────■─────────────────────────────────╫──╫──────■──»\n",
+       "«               │             │                                 ║  ║      │  »\n",
+       "« q7340_5: ─────┼────────■────┼─────────■───────────────────────╫──╫──────┼──»\n",
+       "«               │      ┌─┴─┐  │         │         ┌──────────┐  ║  ║ ┌─┐  │  »\n",
+       "« q7340_6: ─────┼──────┤ X ├──┼─────────┼─────────┤ Rx(-0.8) ├──╫──╫─┤M├──┼──»\n",
+       "«             ┌─┴─┐    └───┘  │       ┌─┴─┐      ┌┴──────────┴┐ ║  ║ └╥┘  │  »\n",
+       "« q7340_7: ───┤ X ├───────────┼───────┤ X ├──────┤ Rz(0.5277) ├─╫──╫──╫───┼──»\n",
+       "«             └───┘         ┌─┴─┐┌────┴───┴─────┐└────────────┘ ║  ║  ║ ┌─┴─┐»\n",
+       "« q7340_8: ─────────────────┤ X ├┤ Rz(0.056618) ├───────────────╫──╫──╫─┤ X ├»\n",
+       "«                           └───┘└──────────────┘               ║  ║  ║ └───┘»\n",
+       "« q7340_9: ─────────────────────────────────────────────────────╫──╫──╫──────»\n",
+       "«                                                               ║  ║  ║      »\n",
+       "«c1225: 10/═════════════════════════════════════════════════════╩══╩══╩══════»\n",
+       "«                                                               2  3  6      »\n",
+       "«                                                                        »\n",
+       "« q7340_0: ──────────────────────────────────────────────────────────────»\n",
+       "«                                                                        »\n",
+       "« q7340_1: ──────────────────────────────────────────────────────────────»\n",
+       "«                                                                        »\n",
+       "« q7340_2: ──────────────────────────────────────────────────────────────»\n",
+       "«                                                                        »\n",
+       "« q7340_3: ──────────────────────────────────────────────────────────────»\n",
+       "«                                                       ┌──────────┐     »\n",
+       "« q7340_4: ───────■──────────────────────────────────■──┤ Rx(-0.8) ├─────»\n",
+       "«                 │                                  │  └──────────┘     »\n",
+       "« q7340_5: ──■────┼─────────■────────────────────────┼───────■────────■──»\n",
+       "«            │    │         │                        │       │        │  »\n",
+       "« q7340_6: ──┼────┼─────────┼────────────────────────┼───────┼────────┼──»\n",
+       "«          ┌─┴─┐  │         │                        │       │        │  »\n",
+       "« q7340_7: ┤ X ├──┼─────────┼────────────────────────┼───────┼────────┼──»\n",
+       "«          └───┘  │       ┌─┴─┐     ┌─────────────┐  │     ┌─┴─┐      │  »\n",
+       "« q7340_8: ───────┼───────┤ X ├─────┤ Rz(0.65474) ├──┼─────┤ X ├──────┼──»\n",
+       "«               ┌─┴─┐┌────┴───┴────┐└─────────────┘┌─┴─┐   └───┘    ┌─┴─┐»\n",
+       "« q7340_9: ─────┤ X ├┤ Rz(0.04957) ├───────────────┤ X ├────────────┤ X ├»\n",
+       "«               └───┘└─────────────┘               └───┘            └───┘»\n",
+       "«c1225: 10/══════════════════════════════════════════════════════════════»\n",
+       "«                                                                        »\n",
+       "«                                                                        »\n",
+       "« q7340_0: ──────────────────────────────────────────────────────────────»\n",
+       "«                                                                        »\n",
+       "« q7340_1: ──────────────────────────────────────────────────────────────»\n",
+       "«                                                                        »\n",
+       "« q7340_2: ──────────────────────────────────────────────────────────────»\n",
+       "«                                                                        »\n",
+       "« q7340_3: ──────────────────────────────────────────────────────────────»\n",
+       "«                                        ┌─┐                             »\n",
+       "« q7340_4: ──────────────────────────────┤M├─────────────────────────────»\n",
+       "«                                        └╥┘     ┌──────────┐            »\n",
+       "« q7340_5: ───────────────────────────────╫───■──┤ Rx(-0.8) ├────────────»\n",
+       "«                                         ║   │  └──────────┘            »\n",
+       "« q7340_6: ───────────────────────────────╫───┼──────────────────────────»\n",
+       "«                                         ║   │              ┌──────────┐»\n",
+       "« q7340_7: ───────■───────────────────────╫───┼───────■──────┤ Rx(-0.8) ├»\n",
+       "«               ┌─┴─┐     ┌─────────────┐ ║   │     ┌─┴─┐    └──────────┘»\n",
+       "« q7340_8: ─────┤ X ├─────┤ Rz(0.40115) ├─╫───┼─────┤ X ├─────────■──────»\n",
+       "«          ┌────┴───┴────┐└─────────────┘ ║ ┌─┴─┐   └───┘       ┌─┴─┐    »\n",
+       "« q7340_9: ┤ Rz(0.54917) ├────────────────╫─┤ X ├───────────────┤ X ├────»\n",
+       "«          └─────────────┘                ║ └───┘               └───┘    »\n",
+       "«c1225: 10/═══════════════════════════════╩══════════════════════════════»\n",
+       "«                                         4                              »\n",
+       "«                                                       \n",
+       "« q7340_0: ─────────────────────────────────────────────\n",
+       "«                                                       \n",
+       "« q7340_1: ─────────────────────────────────────────────\n",
+       "«                                                       \n",
+       "« q7340_2: ─────────────────────────────────────────────\n",
+       "«                                                       \n",
+       "« q7340_3: ─────────────────────────────────────────────\n",
+       "«                                                       \n",
+       "« q7340_4: ─────────────────────────────────────────────\n",
+       "«                          ┌─┐                          \n",
+       "« q7340_5: ────────────────┤M├──────────────────────────\n",
+       "«                          └╥┘                          \n",
+       "« q7340_6: ─────────────────╫───────────────────────────\n",
+       "«                           ║ ┌─┐                       \n",
+       "« q7340_7: ─────────────────╫─┤M├───────────────────────\n",
+       "«                           ║ └╥┘     ┌──────────┐┌─┐   \n",
+       "« q7340_8: ─────────────────╫──╫───■──┤ Rx(-0.8) ├┤M├───\n",
+       "«          ┌──────────────┐ ║  ║ ┌─┴─┐├──────────┤└╥┘┌─┐\n",
+       "« q7340_9: ┤ Rz(0.090693) ├─╫──╫─┤ X ├┤ Rx(-0.8) ├─╫─┤M├\n",
+       "«          └──────────────┘ ║  ║ └───┘└──────────┘ ║ └╥┘\n",
+       "«c1225: 10/═════════════════╩══╩═══════════════════╩══╩═\n",
+       "«                           5  7                   8  9 </pre>"
+      ],
+      "text/plain": [
+       "          ┌───┐                                                                »\n",
+       " q7340_0: ┤ H ├──■───────────────────■────■─────────────────────────────────■──»\n",
+       "          ├───┤  │                   │    │                                 │  »\n",
+       " q7340_1: ┤ H ├──┼───────────────────┼────┼─────────■───────────────────────┼──»\n",
+       "          ├───┤  │                   │    │         │                       │  »\n",
+       " q7340_2: ┤ H ├──┼───────────────────┼────┼─────────┼───────────────────────┼──»\n",
+       "          ├───┤  │                   │    │         │                       │  »\n",
+       " q7340_3: ┤ H ├──┼───────────────────┼────┼─────────┼───────────────────────┼──»\n",
+       "          ├───┤┌─┴─┐┌─────────────┐┌─┴─┐  │       ┌─┴─┐     ┌────────────┐  │  »\n",
+       " q7340_4: ┤ H ├┤ X ├┤ Rz(0.25969) ├┤ X ├──┼───────┤ X ├─────┤ Rz(0.4027) ├──┼──»\n",
+       "          ├───┤└───┘└─────────────┘└───┘  │       └───┘     └────────────┘  │  »\n",
+       " q7340_5: ┤ H ├───────────────────────────┼─────────────────────────────────┼──»\n",
+       "          ├───┤                           │                                 │  »\n",
+       " q7340_6: ┤ H ├───────────────────────────┼─────────────────────────────────┼──»\n",
+       "          ├───┤                         ┌─┴─┐┌─────────────┐              ┌─┴─┐»\n",
+       " q7340_7: ┤ H ├─────────────────────────┤ X ├┤ Rz(0.53757) ├──────────────┤ X ├»\n",
+       "          ├───┤                         └───┘└─────────────┘              └───┘»\n",
+       " q7340_8: ┤ H ├────────────────────────────────────────────────────────────────»\n",
+       "          ├───┤                                                                »\n",
+       " q7340_9: ┤ H ├────────────────────────────────────────────────────────────────»\n",
+       "          └───┘                                                                »\n",
+       "c1225: 10/═════════════════════════════════════════════════════════════════════»\n",
+       "                                                                               »\n",
+       "«          ┌──────────┐                                  ┌─┐               »\n",
+       "« q7340_0: ┤ Rx(-0.8) ├──────────────────────────────────┤M├───────────────»\n",
+       "«          └──────────┘                                  └╥┘               »\n",
+       "« q7340_1: ─────■────────■────────────────────────────────╫───■─────────■──»\n",
+       "«               │        │                                ║   │         │  »\n",
+       "« q7340_2: ─────┼────────┼─────────■──────────────────────╫───┼────■────┼──»\n",
+       "«               │        │         │                      ║   │    │    │  »\n",
+       "« q7340_3: ─────┼────────┼─────────┼──────────────────────╫───┼────┼────┼──»\n",
+       "«             ┌─┴─┐      │       ┌─┴─┐     ┌────────────┐ ║   │  ┌─┴─┐  │  »\n",
+       "« q7340_4: ───┤ X ├──────┼───────┤ X ├─────┤ Rz(0.6863) ├─╫───┼──┤ X ├──┼──»\n",
+       "«             └───┘    ┌─┴─┐┌────┴───┴────┐└────────────┘ ║ ┌─┴─┐└───┘  │  »\n",
+       "« q7340_5: ────────────┤ X ├┤ Rz(0.65579) ├───────────────╫─┤ X ├───────┼──»\n",
+       "«                      └───┘└─────────────┘               ║ └───┘     ┌─┴─┐»\n",
+       "« q7340_6: ───────────────────────────────────────────────╫───────────┤ X ├»\n",
+       "«                                                         ║           └───┘»\n",
+       "« q7340_7: ───────────────────────────────────────────────╫────────────────»\n",
+       "«                                                         ║                »\n",
+       "« q7340_8: ───────────────────────────────────────────────╫────────────────»\n",
+       "«                                                         ║                »\n",
+       "« q7340_9: ───────────────────────────────────────────────╫────────────────»\n",
+       "«                                                         ║                »\n",
+       "«c1225: 10/═══════════════════════════════════════════════╩════════════════»\n",
+       "«                                                         0                »\n",
+       "«                                                                             »\n",
+       "« q7340_0: ───────────────────────────────────────────────────────────────────»\n",
+       "«                                                            ┌──────────┐     »\n",
+       "« q7340_1: ───────────────────────────────────────────────■──┤ Rx(-0.8) ├─────»\n",
+       "«                                                         │  └──────────┘     »\n",
+       "« q7340_2: ───────■───────────────────────────────────────┼───────■───────────»\n",
+       "«                 │                                       │       │           »\n",
+       "« q7340_3: ───────┼──────────────■────────────────────────┼───────┼────────■──»\n",
+       "«                 │            ┌─┴─┐      ┌────────────┐  │       │      ┌─┴─┐»\n",
+       "« q7340_4: ───────┼────────────┤ X ├──────┤ Rz(0.4517) ├──┼───────┼──────┤ X ├»\n",
+       "«               ┌─┴─┐     ┌────┴───┴─────┐└────────────┘  │     ┌─┴─┐    └───┘»\n",
+       "« q7340_5: ─────┤ X ├─────┤ Rz(0.087113) ├────────────────┼─────┤ X ├─────────»\n",
+       "«          ┌────┴───┴────┐└──────────────┘              ┌─┴─┐   └───┘         »\n",
+       "« q7340_6: ┤ Rz(0.13518) ├──────────────────────────────┤ X ├─────────────────»\n",
+       "«          └─────────────┘                              └───┘                 »\n",
+       "« q7340_7: ───────────────────────────────────────────────────────────────────»\n",
+       "«                                                                             »\n",
+       "« q7340_8: ───────────────────────────────────────────────────────────────────»\n",
+       "«                                                                             »\n",
+       "« q7340_9: ───────────────────────────────────────────────────────────────────»\n",
+       "«                                                                             »\n",
+       "«c1225: 10/═══════════════════════════════════════════════════════════════════»\n",
+       "«                                                                             »\n",
+       "«                                                                             »\n",
+       "« q7340_0: ───────────────────────────────────────────────────────────────────»\n",
+       "«                                            ┌─┐                              »\n",
+       "« q7340_1: ──────────────────────────────────┤M├──────────────────────────────»\n",
+       "«                                            └╥┘                              »\n",
+       "« q7340_2: ──■────────────────────────────────╫───■─────────■─────────────────»\n",
+       "«            │                                ║   │         │                 »\n",
+       "« q7340_3: ──┼─────────■──────────────────────╫───┼────■────┼─────────■───────»\n",
+       "«            │         │                      ║   │    │    │         │       »\n",
+       "« q7340_4: ──┼─────────┼──────────────────────╫───┼────┼────┼─────────┼───────»\n",
+       "«            │       ┌─┴─┐     ┌────────────┐ ║   │  ┌─┴─┐  │         │       »\n",
+       "« q7340_5: ──┼───────┤ X ├─────┤ Rz(0.1814) ├─╫───┼──┤ X ├──┼─────────┼───────»\n",
+       "«          ┌─┴─┐┌────┴───┴────┐└────────────┘ ║ ┌─┴─┐└───┘  │       ┌─┴─┐     »\n",
+       "« q7340_6: ┤ X ├┤ Rz(0.23687) ├───────────────╫─┤ X ├───────┼───────┤ X ├─────»\n",
+       "«          └───┘└─────────────┘               ║ └───┘     ┌─┴─┐┌────┴───┴────┐»\n",
+       "« q7340_7: ───────────────────────────────────╫───────────┤ X ├┤ Rz(0.27085) ├»\n",
+       "«                                             ║           └───┘└─────────────┘»\n",
+       "« q7340_8: ───────────────────────────────────╫───────────────────────────────»\n",
+       "«                                             ║                               »\n",
+       "« q7340_9: ───────────────────────────────────╫───────────────────────────────»\n",
+       "«                                             ║                               »\n",
+       "«c1225: 10/═══════════════════════════════════╩═══════════════════════════════»\n",
+       "«                                             1                               »\n",
+       "«                                                                           »\n",
+       "« q7340_0: ─────────────────────────────────────────────────────────────────»\n",
+       "«                                                                           »\n",
+       "« q7340_1: ─────────────────────────────────────────────────────────────────»\n",
+       "«                                                                           »\n",
+       "« q7340_2: ────────────────────────────────■──────────────■─────────────────»\n",
+       "«                                          │              │                 »\n",
+       "« q7340_3: ────────────────────────────────┼────■─────────┼─────────■───────»\n",
+       "«                                          │    │         │         │       »\n",
+       "« q7340_4: ───────■────────────────────────┼────┼────■────┼─────────┼───────»\n",
+       "«               ┌─┴─┐     ┌─────────────┐  │    │  ┌─┴─┐  │         │       »\n",
+       "« q7340_5: ─────┤ X ├─────┤ Rz(0.50196) ├──┼────┼──┤ X ├──┼─────────┼───────»\n",
+       "«          ┌────┴───┴────┐└─────────────┘  │  ┌─┴─┐└───┘  │         │       »\n",
+       "« q7340_6: ┤ Rz(0.34123) ├─────────────────┼──┤ X ├───────┼─────────┼───────»\n",
+       "«          └─────────────┘               ┌─┴─┐└───┘       │         │       »\n",
+       "« q7340_7: ──────────────────────────────┤ X ├────────────┼─────────┼───────»\n",
+       "«                                        └───┘            │       ┌─┴─┐     »\n",
+       "« q7340_8: ───────────────────────────────────────────────┼───────┤ X ├─────»\n",
+       "«                                                       ┌─┴─┐┌────┴───┴────┐»\n",
+       "« q7340_9: ─────────────────────────────────────────────┤ X ├┤ Rz(0.39897) ├»\n",
+       "«                                                       └───┘└─────────────┘»\n",
+       "«c1225: 10/═════════════════════════════════════════════════════════════════»\n",
+       "«                                                                           »\n",
+       "«                                                                         »\n",
+       "« q7340_0: ───────────────────────────────────────────────────────────────»\n",
+       "«                                                                         »\n",
+       "« q7340_1: ───────────────────────────────────────────────────────────────»\n",
+       "«                                                             ┌──────────┐»\n",
+       "« q7340_2: ────────────────────────────────────────────────■──┤ Rx(-0.8) ├»\n",
+       "«                                                          │  └──────────┘»\n",
+       "« q7340_3: ────────────────────────────────────────────────┼───────■──────»\n",
+       "«                                                          │       │      »\n",
+       "« q7340_4: ───────■────────────────────────────────────────┼───────┼──────»\n",
+       "«                 │                                        │       │      »\n",
+       "« q7340_5: ───────┼──────────────■─────────────────────────┼───────┼──────»\n",
+       "«                 │            ┌─┴─┐     ┌──────────────┐  │       │      »\n",
+       "« q7340_6: ───────┼────────────┤ X ├─────┤ Rz(0.096925) ├──┼───────┼──────»\n",
+       "«               ┌─┴─┐     ┌────┴───┴────┐└──────────────┘  │       │      »\n",
+       "« q7340_7: ─────┤ X ├─────┤ Rz(0.51693) ├──────────────────┼───────┼──────»\n",
+       "«          ┌────┴───┴────┐└─────────────┘                  │     ┌─┴─┐    »\n",
+       "« q7340_8: ┤ Rz(0.75671) ├─────────────────────────────────┼─────┤ X ├────»\n",
+       "«          └─────────────┘                               ┌─┴─┐   └───┘    »\n",
+       "« q7340_9: ──────────────────────────────────────────────┤ X ├────────────»\n",
+       "«                                                        └───┘            »\n",
+       "«c1225: 10/═══════════════════════════════════════════════════════════════»\n",
+       "«                                                                         »\n",
+       "«                                                                            »\n",
+       "« q7340_0: ──────────────────────────────────────────────────────────────────»\n",
+       "«                                                                            »\n",
+       "« q7340_1: ──────────────────────────────────────────────────────────────────»\n",
+       "«                                                              ┌─┐           »\n",
+       "« q7340_2: ────────────────────────────────────────────────────┤M├───────────»\n",
+       "«          ┌──────────┐                                        └╥┘┌─┐        »\n",
+       "« q7340_3: ┤ Rx(-0.8) ├─────────────────────────────────────────╫─┤M├────────»\n",
+       "«          └──────────┘                                         ║ └╥┘        »\n",
+       "« q7340_4: ─────■─────────────■─────────────────────────────────╫──╫──────■──»\n",
+       "«               │             │                                 ║  ║      │  »\n",
+       "« q7340_5: ─────┼────────■────┼─────────■───────────────────────╫──╫──────┼──»\n",
+       "«               │      ┌─┴─┐  │         │         ┌──────────┐  ║  ║ ┌─┐  │  »\n",
+       "« q7340_6: ─────┼──────┤ X ├──┼─────────┼─────────┤ Rx(-0.8) ├──╫──╫─┤M├──┼──»\n",
+       "«             ┌─┴─┐    └───┘  │       ┌─┴─┐      ┌┴──────────┴┐ ║  ║ └╥┘  │  »\n",
+       "« q7340_7: ───┤ X ├───────────┼───────┤ X ├──────┤ Rz(0.5277) ├─╫──╫──╫───┼──»\n",
+       "«             └───┘         ┌─┴─┐┌────┴───┴─────┐└────────────┘ ║  ║  ║ ┌─┴─┐»\n",
+       "« q7340_8: ─────────────────┤ X ├┤ Rz(0.056618) ├───────────────╫──╫──╫─┤ X ├»\n",
+       "«                           └───┘└──────────────┘               ║  ║  ║ └───┘»\n",
+       "« q7340_9: ─────────────────────────────────────────────────────╫──╫──╫──────»\n",
+       "«                                                               ║  ║  ║      »\n",
+       "«c1225: 10/═════════════════════════════════════════════════════╩══╩══╩══════»\n",
+       "«                                                               2  3  6      »\n",
+       "«                                                                        »\n",
+       "« q7340_0: ──────────────────────────────────────────────────────────────»\n",
+       "«                                                                        »\n",
+       "« q7340_1: ──────────────────────────────────────────────────────────────»\n",
+       "«                                                                        »\n",
+       "« q7340_2: ──────────────────────────────────────────────────────────────»\n",
+       "«                                                                        »\n",
+       "« q7340_3: ──────────────────────────────────────────────────────────────»\n",
+       "«                                                       ┌──────────┐     »\n",
+       "« q7340_4: ───────■──────────────────────────────────■──┤ Rx(-0.8) ├─────»\n",
+       "«                 │                                  │  └──────────┘     »\n",
+       "« q7340_5: ──■────┼─────────■────────────────────────┼───────■────────■──»\n",
+       "«            │    │         │                        │       │        │  »\n",
+       "« q7340_6: ──┼────┼─────────┼────────────────────────┼───────┼────────┼──»\n",
+       "«          ┌─┴─┐  │         │                        │       │        │  »\n",
+       "« q7340_7: ┤ X ├──┼─────────┼────────────────────────┼───────┼────────┼──»\n",
+       "«          └───┘  │       ┌─┴─┐     ┌─────────────┐  │     ┌─┴─┐      │  »\n",
+       "« q7340_8: ───────┼───────┤ X ├─────┤ Rz(0.65474) ├──┼─────┤ X ├──────┼──»\n",
+       "«               ┌─┴─┐┌────┴───┴────┐└─────────────┘┌─┴─┐   └───┘    ┌─┴─┐»\n",
+       "« q7340_9: ─────┤ X ├┤ Rz(0.04957) ├───────────────┤ X ├────────────┤ X ├»\n",
+       "«               └───┘└─────────────┘               └───┘            └───┘»\n",
+       "«c1225: 10/══════════════════════════════════════════════════════════════»\n",
+       "«                                                                        »\n",
+       "«                                                                        »\n",
+       "« q7340_0: ──────────────────────────────────────────────────────────────»\n",
+       "«                                                                        »\n",
+       "« q7340_1: ──────────────────────────────────────────────────────────────»\n",
+       "«                                                                        »\n",
+       "« q7340_2: ──────────────────────────────────────────────────────────────»\n",
+       "«                                                                        »\n",
+       "« q7340_3: ──────────────────────────────────────────────────────────────»\n",
+       "«                                        ┌─┐                             »\n",
+       "« q7340_4: ──────────────────────────────┤M├─────────────────────────────»\n",
+       "«                                        └╥┘     ┌──────────┐            »\n",
+       "« q7340_5: ───────────────────────────────╫───■──┤ Rx(-0.8) ├────────────»\n",
+       "«                                         ║   │  └──────────┘            »\n",
+       "« q7340_6: ───────────────────────────────╫───┼──────────────────────────»\n",
+       "«                                         ║   │              ┌──────────┐»\n",
+       "« q7340_7: ───────■───────────────────────╫───┼───────■──────┤ Rx(-0.8) ├»\n",
+       "«               ┌─┴─┐     ┌─────────────┐ ║   │     ┌─┴─┐    └──────────┘»\n",
+       "« q7340_8: ─────┤ X ├─────┤ Rz(0.40115) ├─╫───┼─────┤ X ├─────────■──────»\n",
+       "«          ┌────┴───┴────┐└─────────────┘ ║ ┌─┴─┐   └───┘       ┌─┴─┐    »\n",
+       "« q7340_9: ┤ Rz(0.54917) ├────────────────╫─┤ X ├───────────────┤ X ├────»\n",
+       "«          └─────────────┘                ║ └───┘               └───┘    »\n",
+       "«c1225: 10/═══════════════════════════════╩══════════════════════════════»\n",
+       "«                                         4                              »\n",
+       "«                                                       \n",
+       "« q7340_0: ─────────────────────────────────────────────\n",
+       "«                                                       \n",
+       "« q7340_1: ─────────────────────────────────────────────\n",
+       "«                                                       \n",
+       "« q7340_2: ─────────────────────────────────────────────\n",
+       "«                                                       \n",
+       "« q7340_3: ─────────────────────────────────────────────\n",
+       "«                                                       \n",
+       "« q7340_4: ─────────────────────────────────────────────\n",
+       "«                          ┌─┐                          \n",
+       "« q7340_5: ────────────────┤M├──────────────────────────\n",
+       "«                          └╥┘                          \n",
+       "« q7340_6: ─────────────────╫───────────────────────────\n",
+       "«                           ║ ┌─┐                       \n",
+       "« q7340_7: ─────────────────╫─┤M├───────────────────────\n",
+       "«                           ║ └╥┘     ┌──────────┐┌─┐   \n",
+       "« q7340_8: ─────────────────╫──╫───■──┤ Rx(-0.8) ├┤M├───\n",
+       "«          ┌──────────────┐ ║  ║ ┌─┴─┐├──────────┤└╥┘┌─┐\n",
+       "« q7340_9: ┤ Rz(0.090693) ├─╫──╫─┤ X ├┤ Rx(-0.8) ├─╫─┤M├\n",
+       "«          └──────────────┘ ║  ║ └───┘└──────────┘ ║ └╥┘\n",
+       "«c1225: 10/═════════════════╩══╩═══════════════════╩══╩═\n",
+       "«                           5  7                   8  9 "
+      ]
+     },
+     "execution_count": 60,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# Each of the circuits looks like this:\n",
+    "gamma = 0.8\n",
+    "beta = 0.4\n",
+    "singleCircuit = qaoamc.createCircuit(np.array((gamma, beta)), 1)\n",
+    "singleCircuit.draw()"
+   ]
+  },
+  {
+   "attachments": {},
+   "cell_type": "markdown",
+   "id": "f07c6682",
+   "metadata": {},
+   "source": [
+    "* Hadamard operation on each qubit\n",
+    "* For each edge:\n",
+    "    * Flip the edge\n",
+    "    * Apply Rz(edge_weight * gamma) to the end-node\n",
+    "    * Flip the edge back\n",
+    "    * Rx(-2*beta) on the start node\n",
+    "* Measure all qubits"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 61,
+   "id": "1b4a83aa",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 480x480 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "#  Visualize expected values for uniformly sampled gamma/beta pairs\n",
+    "\n",
+    "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n",
+    "_=pl.xlabel(r'$\\gamma$')\n",
+    "_=pl.ylabel(r'$\\beta$')\n",
+    "ax = pl.gca()\n",
+    "_=pl.title('Expectation value')\n",
+    "im = ax.imshow(qaoamc.E,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,np.pi/2])\n",
+    "divider = make_axes_locatable(ax)\n",
+    "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n",
+    "_=pl.colorbar(im, cax=cax)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 62,
+   "id": "9dff4c99",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 480x480 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "f = pl.figure(figsize=(6, 6), dpi= 80, facecolor='w', edgecolor='k');\n",
+    "_=pl.xlabel(r'$\\gamma$')\n",
+    "_=pl.ylabel(r'$\\beta$')\n",
+    "ax = pl.gca()\n",
+    "_=pl.title('Variance')\n",
+    "im = ax.imshow(qaoamc.Var,interpolation='bicubic',origin='lower',extent=[0,np.pi/2,0,np.pi/2])\n",
+    "divider = make_axes_locatable(ax)\n",
+    "cax = divider.append_axes(\"right\", size=\"5%\", pad=0.05)\n",
+    "_=pl.colorbar(im, cax=cax)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 74,
+   "id": "a5d7930e",
+   "metadata": {
+    "scrolled": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "cost(depth= 6 )= -8.097669510275232\n",
+      "cost(depth= 6 )= -8.657714089848158\n",
+      "cost(depth= 7 )= -8.190444802782501\n",
+      "cost(depth= 7 )= -8.657714089848158\n",
+      "cost(depth= 8 )= -8.199893624066346\n",
+      "cost(depth= 8 )= -8.657714089848158\n",
+      "cost(depth= 9 )= -8.321711211259386\n",
+      "cost(depth= 9 )= -8.657714089848158\n",
+      "cost(depth= 10 )= -8.317665326814371\n",
+      "cost(depth= 10 )= -8.657714089848158\n",
+      "cost(depth= 11 )= -8.341366229226104\n",
+      "cost(depth= 11 )= -8.657714089848158\n",
+      "cost(depth= 12 )= -8.305607021865706\n",
+      "cost(depth= 12 )= -8.657714089848158\n"
+     ]
+    },
+    {
+     "ename": "KeyboardInterrupt",
+     "evalue": "",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[1;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
+      "Cell \u001b[1;32mIn[74], line 3\u001b[0m\n\u001b[0;32m      1\u001b[0m maxdepth\u001b[39m=\u001b[39m\u001b[39m10\u001b[39m\n\u001b[0;32m      2\u001b[0m \u001b[39mfor\u001b[39;00m i \u001b[39min\u001b[39;00m \u001b[39mrange\u001b[39m(maxdepth):\n\u001b[1;32m----> 3\u001b[0m     qaoamc\u001b[39m.\u001b[39;49mincrease_depth(qasm_sim, \u001b[39m1024\u001b[39;49m)\n\u001b[0;32m      4\u001b[0m     qaoamc_cvar\u001b[39m.\u001b[39mincrease_depth(qasm_sim, \u001b[39m1024\u001b[39m)\n",
+      "File \u001b[1;32m~\\playground-win\\quantumComputing\\OpenQuantumComputing\\openquantumcomputing\\QAOABase.py:284\u001b[0m, in \u001b[0;36mQAOABase.increase_depth\u001b[1;34m(self, backend, shots, precision, noisemodel, method)\u001b[0m\n\u001b[0;32m    281\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mg_values\u001b[39m=\u001b[39m{}\n\u001b[0;32m    282\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mg_angles\u001b[39m=\u001b[39m{}\n\u001b[1;32m--> 284\u001b[0m res \u001b[39m=\u001b[39m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mlocal_opt(angles0, backend, shots, precision, noisemodel\u001b[39m=\u001b[39;49mnoisemodel, method\u001b[39m=\u001b[39;49mmethod)\n\u001b[0;32m    285\u001b[0m \u001b[39mif\u001b[39;00m \u001b[39mnot\u001b[39;00m res\u001b[39m.\u001b[39msuccess:\n\u001b[0;32m    286\u001b[0m     \u001b[39mraise\u001b[39;00m \u001b[39mWarning\u001b[39;00m(\u001b[39m\"\u001b[39m\u001b[39mLocal optimization was not successful.\u001b[39m\u001b[39m\"\u001b[39m, res)\n",
+      "File \u001b[1;32m~\\playground-win\\quantumComputing\\OpenQuantumComputing\\openquantumcomputing\\QAOABase.py:250\u001b[0m, in \u001b[0;36mQAOABase.local_opt\u001b[1;34m(self, angles0, backend, shots, precision, noisemodel, method)\u001b[0m\n\u001b[0;32m    247\u001b[0m depth\u001b[39m=\u001b[39m\u001b[39mint\u001b[39m(\u001b[39mlen\u001b[39m(angles0)\u001b[39m/\u001b[39m\u001b[39m2\u001b[39m)\n\u001b[0;32m    249\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mnum_shots[\u001b[39m'\u001b[39m\u001b[39md\u001b[39m\u001b[39m'\u001b[39m\u001b[39m+\u001b[39m\u001b[39mstr\u001b[39m(\u001b[39mself\u001b[39m\u001b[39m.\u001b[39mcurrent_depth\u001b[39m+\u001b[39m\u001b[39m1\u001b[39m)]\u001b[39m=\u001b[39m\u001b[39m0\u001b[39m\n\u001b[1;32m--> 250\u001b[0m res \u001b[39m=\u001b[39m minimize(\u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mloss, x0 \u001b[39m=\u001b[39;49m angles0, method \u001b[39m=\u001b[39;49m method,\n\u001b[0;32m    251\u001b[0m                args\u001b[39m=\u001b[39;49m(backend, depth, shots, precision, noisemodel))\n\u001b[0;32m    252\u001b[0m \u001b[39mreturn\u001b[39;00m res\n",
+      "File \u001b[1;32mc:\\Users\\havardh\\Miniconda3\\envs\\qcomp\\Lib\\site-packages\\scipy\\optimize\\_minimize.py:702\u001b[0m, in \u001b[0;36mminimize\u001b[1;34m(fun, x0, args, method, jac, hess, hessp, bounds, constraints, tol, callback, options)\u001b[0m\n\u001b[0;32m    699\u001b[0m     res \u001b[39m=\u001b[39m _minimize_tnc(fun, x0, args, jac, bounds, callback\u001b[39m=\u001b[39mcallback,\n\u001b[0;32m    700\u001b[0m                         \u001b[39m*\u001b[39m\u001b[39m*\u001b[39moptions)\n\u001b[0;32m    701\u001b[0m \u001b[39melif\u001b[39;00m meth \u001b[39m==\u001b[39m \u001b[39m'\u001b[39m\u001b[39mcobyla\u001b[39m\u001b[39m'\u001b[39m:\n\u001b[1;32m--> 702\u001b[0m     res \u001b[39m=\u001b[39m _minimize_cobyla(fun, x0, args, constraints, callback\u001b[39m=\u001b[39;49mcallback,\n\u001b[0;32m    703\u001b[0m                             \u001b[39m*\u001b[39;49m\u001b[39m*\u001b[39;49moptions)\n\u001b[0;32m    704\u001b[0m \u001b[39melif\u001b[39;00m meth \u001b[39m==\u001b[39m \u001b[39m'\u001b[39m\u001b[39mslsqp\u001b[39m\u001b[39m'\u001b[39m:\n\u001b[0;32m    705\u001b[0m     res \u001b[39m=\u001b[39m _minimize_slsqp(fun, x0, args, jac, bounds,\n\u001b[0;32m    706\u001b[0m                           constraints, callback\u001b[39m=\u001b[39mcallback, \u001b[39m*\u001b[39m\u001b[39m*\u001b[39moptions)\n",
+      "File \u001b[1;32mc:\\Users\\havardh\\Miniconda3\\envs\\qcomp\\Lib\\site-packages\\scipy\\optimize\\_cobyla_py.py:34\u001b[0m, in \u001b[0;36msynchronized.<locals>.wrapper\u001b[1;34m(*args, **kwargs)\u001b[0m\n\u001b[0;32m     31\u001b[0m \u001b[39m@functools\u001b[39m\u001b[39m.\u001b[39mwraps(func)\n\u001b[0;32m     32\u001b[0m \u001b[39mdef\u001b[39;00m \u001b[39mwrapper\u001b[39m(\u001b[39m*\u001b[39margs, \u001b[39m*\u001b[39m\u001b[39m*\u001b[39mkwargs):\n\u001b[0;32m     33\u001b[0m     \u001b[39mwith\u001b[39;00m _module_lock:\n\u001b[1;32m---> 34\u001b[0m         \u001b[39mreturn\u001b[39;00m func(\u001b[39m*\u001b[39;49margs, \u001b[39m*\u001b[39;49m\u001b[39m*\u001b[39;49mkwargs)\n",
+      "File \u001b[1;32mc:\\Users\\havardh\\Miniconda3\\envs\\qcomp\\Lib\\site-packages\\scipy\\optimize\\_cobyla_py.py:270\u001b[0m, in \u001b[0;36m_minimize_cobyla\u001b[1;34m(fun, x0, args, constraints, rhobeg, tol, maxiter, disp, catol, callback, **unknown_options)\u001b[0m\n\u001b[0;32m    267\u001b[0m         callback(np\u001b[39m.\u001b[39mcopy(x))\n\u001b[0;32m    269\u001b[0m info \u001b[39m=\u001b[39m np\u001b[39m.\u001b[39mzeros(\u001b[39m4\u001b[39m, np\u001b[39m.\u001b[39mfloat64)\n\u001b[1;32m--> 270\u001b[0m xopt, info \u001b[39m=\u001b[39m cobyla\u001b[39m.\u001b[39;49mminimize(calcfc, m\u001b[39m=\u001b[39;49mm, x\u001b[39m=\u001b[39;49mnp\u001b[39m.\u001b[39;49mcopy(x0), rhobeg\u001b[39m=\u001b[39;49mrhobeg,\n\u001b[0;32m    271\u001b[0m                               rhoend\u001b[39m=\u001b[39;49mrhoend, iprint\u001b[39m=\u001b[39;49miprint, maxfun\u001b[39m=\u001b[39;49mmaxfun,\n\u001b[0;32m    272\u001b[0m                               dinfo\u001b[39m=\u001b[39;49minfo, callback\u001b[39m=\u001b[39;49mwrapped_callback)\n\u001b[0;32m    274\u001b[0m \u001b[39mif\u001b[39;00m info[\u001b[39m3\u001b[39m] \u001b[39m>\u001b[39m catol:\n\u001b[0;32m    275\u001b[0m     \u001b[39m# Check constraint violation\u001b[39;00m\n\u001b[0;32m    276\u001b[0m     info[\u001b[39m0\u001b[39m] \u001b[39m=\u001b[39m \u001b[39m4\u001b[39m\n",
+      "File \u001b[1;32mc:\\Users\\havardh\\Miniconda3\\envs\\qcomp\\Lib\\site-packages\\scipy\\optimize\\_cobyla_py.py:258\u001b[0m, in \u001b[0;36m_minimize_cobyla.<locals>.calcfc\u001b[1;34m(x, con)\u001b[0m\n\u001b[0;32m    257\u001b[0m \u001b[39mdef\u001b[39;00m \u001b[39mcalcfc\u001b[39m(x, con):\n\u001b[1;32m--> 258\u001b[0m     f \u001b[39m=\u001b[39m fun(np\u001b[39m.\u001b[39;49mcopy(x), \u001b[39m*\u001b[39;49margs)\n\u001b[0;32m    259\u001b[0m     i \u001b[39m=\u001b[39m \u001b[39m0\u001b[39m\n\u001b[0;32m    260\u001b[0m     \u001b[39mfor\u001b[39;00m size, c \u001b[39min\u001b[39;00m izip(cons_lengths, constraints):\n",
+      "File \u001b[1;32m~\\playground-win\\quantumComputing\\OpenQuantumComputing\\openquantumcomputing\\QAOABase.py:99\u001b[0m, in \u001b[0;36mQAOABase.loss\u001b[1;34m(self, angles, backend, depth, shots, precision, noisemodel)\u001b[0m\n\u001b[0;32m     94\u001b[0m \u001b[39m\u001b[39m\u001b[39m\"\"\"\u001b[39;00m\n\u001b[0;32m     95\u001b[0m \u001b[39mloss function\u001b[39;00m\n\u001b[0;32m     96\u001b[0m \u001b[39m:return: an instance of the qiskti class QuantumCircuit\u001b[39;00m\n\u001b[0;32m     97\u001b[0m \u001b[39m\"\"\"\u001b[39;00m\n\u001b[0;32m     98\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mg_it\u001b[39m+\u001b[39m\u001b[39m=\u001b[39m\u001b[39m1\u001b[39m\n\u001b[1;32m---> 99\u001b[0m circuit \u001b[39m=\u001b[39m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mcreateCircuit(angles, depth)\n\u001b[0;32m    101\u001b[0m n_target\u001b[39m=\u001b[39mshots\n\u001b[0;32m    102\u001b[0m \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mstat\u001b[39m.\u001b[39mreset()\n",
+      "File \u001b[1;32m~\\playground-win\\quantumComputing\\OpenQuantumComputing\\openquantumcomputing\\QAOAMaxCut.py:45\u001b[0m, in \u001b[0;36mQAOAMaxCut.createCircuit\u001b[1;34m(self, angles, depth)\u001b[0m\n\u001b[0;32m     43\u001b[0m circ\u001b[39m.\u001b[39mcx(q[i], q[j])\n\u001b[0;32m     44\u001b[0m circ\u001b[39m.\u001b[39mrz(wg, q[j])\n\u001b[1;32m---> 45\u001b[0m circ\u001b[39m.\u001b[39;49mcx(q[i], q[j])\n\u001b[0;32m     46\u001b[0m \u001b[39mif\u001b[39;00m usebarrier:\n\u001b[0;32m     47\u001b[0m     circ\u001b[39m.\u001b[39mbarrier()\n",
+      "File \u001b[1;32mc:\\Users\\havardh\\Miniconda3\\envs\\qcomp\\Lib\\site-packages\\qiskit\\circuit\\quantumcircuit.py:3740\u001b[0m, in \u001b[0;36mQuantumCircuit.cx\u001b[1;34m(self, control_qubit, target_qubit, label, ctrl_state)\u001b[0m\n\u001b[0;32m   3722\u001b[0m \u001b[39m\u001b[39m\u001b[39mr\u001b[39m\u001b[39m\"\"\"Apply :class:`~qiskit.circuit.library.CXGate`.\u001b[39;00m\n\u001b[0;32m   3723\u001b[0m \n\u001b[0;32m   3724\u001b[0m \u001b[39mFor the full matrix form of this gate, see the underlying gate documentation.\u001b[39;00m\n\u001b[1;32m   (...)\u001b[0m\n\u001b[0;32m   3735\u001b[0m \u001b[39m    A handle to the instructions created.\u001b[39;00m\n\u001b[0;32m   3736\u001b[0m \u001b[39m\"\"\"\u001b[39;00m\n\u001b[0;32m   3738\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39mlibrary\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mstandard_gates\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mx\u001b[39;00m \u001b[39mimport\u001b[39;00m CXGate\n\u001b[1;32m-> 3740\u001b[0m \u001b[39mreturn\u001b[39;00m \u001b[39mself\u001b[39;49m\u001b[39m.\u001b[39;49mappend(\n\u001b[0;32m   3741\u001b[0m     CXGate(label\u001b[39m=\u001b[39;49mlabel, ctrl_state\u001b[39m=\u001b[39;49mctrl_state), [control_qubit, target_qubit], []\n\u001b[0;32m   3742\u001b[0m )\n",
+      "File \u001b[1;32mc:\\Users\\havardh\\Miniconda3\\envs\\qcomp\\Lib\\site-packages\\qiskit\\circuit\\quantumcircuit.py:1266\u001b[0m, in \u001b[0;36mQuantumCircuit.append\u001b[1;34m(self, instruction, qargs, cargs)\u001b[0m\n\u001b[0;32m   1264\u001b[0m \u001b[39mfor\u001b[39;00m qarg, carg \u001b[39min\u001b[39;00m operation\u001b[39m.\u001b[39mbroadcast_arguments(expanded_qargs, expanded_cargs):\n\u001b[0;32m   1265\u001b[0m     \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_check_dups(qarg)\n\u001b[1;32m-> 1266\u001b[0m     instruction \u001b[39m=\u001b[39m CircuitInstruction(operation, qarg, carg)\n\u001b[0;32m   1267\u001b[0m     appender(instruction)\n\u001b[0;32m   1268\u001b[0m     instructions\u001b[39m.\u001b[39madd(instruction)\n",
+      "File \u001b[1;32mc:\\Users\\havardh\\Miniconda3\\envs\\qcomp\\Lib\\site-packages\\qiskit\\circuit\\quantumcircuitdata.py:54\u001b[0m, in \u001b[0;36mCircuitInstruction.__init__\u001b[1;34m(self, operation, qubits, clbits)\u001b[0m\n\u001b[0;32m     47\u001b[0m \u001b[39mdef\u001b[39;00m \u001b[39m__init__\u001b[39m(\n\u001b[0;32m     48\u001b[0m     \u001b[39mself\u001b[39m,\n\u001b[0;32m     49\u001b[0m     operation: Instruction,\n\u001b[0;32m     50\u001b[0m     qubits: Iterable[Qubit] \u001b[39m=\u001b[39m (),\n\u001b[0;32m     51\u001b[0m     clbits: Iterable[Clbit] \u001b[39m=\u001b[39m (),\n\u001b[0;32m     52\u001b[0m ):\n\u001b[0;32m     53\u001b[0m     \u001b[39mself\u001b[39m\u001b[39m.\u001b[39moperation \u001b[39m=\u001b[39m operation\n\u001b[1;32m---> 54\u001b[0m     \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mqubits \u001b[39m=\u001b[39m \u001b[39mtuple\u001b[39m(qubits)\n\u001b[0;32m     55\u001b[0m     \u001b[39mself\u001b[39m\u001b[39m.\u001b[39mclbits \u001b[39m=\u001b[39m \u001b[39mtuple\u001b[39m(clbits)\n\u001b[0;32m     56\u001b[0m     \u001b[39mself\u001b[39m\u001b[39m.\u001b[39m_legacy_format_cache \u001b[39m=\u001b[39m \u001b[39mNone\u001b[39;00m\n",
+      "\u001b[1;31mKeyboardInterrupt\u001b[0m: "
+     ]
+    }
+   ],
+   "source": [
+    "maxdepth=10\n",
+    "for i in range(maxdepth):\n",
+    "    qaoamc.increase_depth(qasm_sim, 1024)\n",
+    "    qaoamc_cvar.increase_depth(qasm_sim, 1024)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 76,
+   "id": "76202992",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.legend.Legend at 0x184e124b850>"
+      ]
+     },
+     "execution_count": 76,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjcAAAGwCAYAAABVdURTAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy88F64QAAAACXBIWXMAAA9hAAAPYQGoP6dpAABTk0lEQVR4nO3de1xUZf4H8M+ZgeEuCMhNUVBQUbyCGniji7dMs9rUyjSz3TUrRUrLtX6ubmlZmW6uum6i5iXZTW2t1ZQs8JaXvCOmoiiogwgo9+vM8/tjZGScGWB0YJjx83695iXnnOec+c54OR+f85znSEIIASIiIiIbIbN0AURERETmxHBDRERENoXhhoiIiGwKww0RERHZFIYbIiIisikMN0RERGRTGG6IiIjIpthZuoDGplarcf36dbi5uUGSJEuXQ0RERPUghEBhYSECAgIgk9XeN/PQhZvr168jMDDQ0mUQERHRfcjMzESrVq1qbfPQhRs3NzcAmi+nWbNmFq6GiIiI6qOgoACBgYHa83htHrpwU30pqlmzZgw3REREVqY+Q0o4oJiIiIhsCsMNERER2RSGGyIiIrIpDDdERERkUxhuiIiIyKYw3BAREZFNYbghIiIim8JwQ0RERDaF4YaIiIhsCsMNERER2RSGGyIiIrIpDDdERERkUxhuiIiIyKYw3BAREZFNYbghIiIim8JwQ0RERDaF4YaIiIhsCsMNERER2RSGGyIiIrIpDDdERERkUxhuiIiIyKYw3BAREZFNYbghIiIim8JwQ0RERDaF4YaIiIhsCsMNERER2RQ7SxdAZHXUKuDKAaDoBuDqC7SJBmRyS1elizWaB2s0D9ZoHqyx3iwabvbs2YNPP/0UR48ehVKpxNatWzFq1Kha90lOTkZcXBzOnDmDgIAAzJw5E5MnT26cgolStwE/vgsUXL+7rlkAMPQToNNIy9VVE2s0D9ZoHqzRPFijSSx6Waq4uBjdunXD0qVL69U+PT0dTz75JPr374/jx4/jL3/5C6ZOnYrNmzc3cKVE0PzF/fd43b+4AFCg1KxP3WaZumpijebBGs2DNZoHazSZJIQQjfqORkiSVGfPzbvvvott27bh7Nmz2nWTJ0/GyZMn8euvv9brfQoKCuDu7o78/Hw0a9bsQcvWU1xcbPZjUhOgVgFLewGFSuNtnJoDwxcDHQbfXXd5P1B623B7uT3QvkbbjENAcY7htpIEdHzy7vLV34DCG/fUqAZ2vguU3qq9xiGfALIa/69pP1hTCwAoTwG3M43vH/IYYO+k+flGCpB3xXjbtgMBB1fNz9m/A7kX61GjBLi2AJ74ULfGmtpEAc6emp9zLwHZZw23A4DAXoCrj+bnW1eArBTjbVtGAM38NL/XX/YEirKNt3X1Bd46quluL8gCrh013tYvHGjeRvNzUTaQecR4W58wwKut5ueSPOCKkX/X1GogcTZQfNP4sWr+Xnu1A3w6ataXFwKX9hjfzzMI8O2s+bmyFEj72Xhbj0DAv6vm56oK4EKibo338+cRANx8gVaRd5d/3w4YO1W5eAOt+9xdPrcTUFcZeT8PIKhvjba7gP/F6tToopBq7CBpeh5iTwOXfgEqSgwfV+EChDx+d/lSElBWYLitnaPu3/v0vca/I7k9EDoYWByuHxp0Ppcn8NRioPPTd9dlHgYKs4zv0/Gpu9/71aNAwTXjbTsMu/tvxPUTwO0M3e1qNfC/6UBpnpED1PgeH+ASlSnnb6sKNwMGDECPHj2wZMkS7bqtW7di9OjRKCkpgb29vd4+5eXlKC8v1y4XFBQgMDCwwcKNJEl1NyIioiZJzDFwXpjwA/D9VCDvkuGdPNsBU4/dXV7eVxP+DXHzB97+/e7yV4OAq4cNt3V0B8ZsANY+VXfhkhyYUyNcfPMCcG678fYf5NwNLN9OAlK+Nd72vQxNLQCw7S3g2Nd112PIhB+A4P73ty9MCzdWNaA4KysLvr6+Out8fX1RVVWFnJwc+Pv76+2zYMECzJ07t+GLqx5ERUREtqXoBuDfHXDxMbzdvaXusl8XQOFquK2zl+6yb2dAMtJL6eCqee/68ArRXfZur+n9M6rGf8S9QoDAR2ppWqO3xbOtftviHCAvre4a6/tZzMCqwg2g3zNS3fFkrMdk1qxZiIuL0y5X99yYVY1BVEWz3DTr3PyBQX8Dwoab973ux9n/AVv+CODeTro739mz/7J8nfWt8fZVzV+Q4ptAcTZQVONXhQvw9Jd3d10xAMi9YPj9XH2AaSfvLv/nVc3/ylxbAC4tNNu1v/oAMjtgwx/q/hwvfavb7d2YLu9njebAGs3Dlmp09QWeX13/4z6zov5tRyyufXv63vodZ/jnusuDTPhP/aOzNK/66Ddd86opfW/9epdcfetuYyZWFW78/PyQlaV7DTE7Oxt2dnbw8vIyuI+DgwMcHBwarqjqQVR3Tsra67XlN4Af/gQ4f924o8SFAG6eAyqKgYoioLwI2D0TUAA6Sb2mxDgg/5z+/x6aBQCRE+8u7/+75nq9Ia4+QO8/3l0+uNz4/xqcPICoN+4uH14J/DSvlholYM9fgZ7PAatfBnLOGT6uiw/g4nJ32T8UsBeav1CuPnd+baH51c1ft+0rCYaPWU2tArxbagbH6QWwOzU2CwDCHrfcrZlhj7NGc2CN5mFLNbaJbuzK7moTramBNZrEqsJNVFQUvv/+e511u3btQmRkpMHxNg1OrdL02Bj8zRQAJODH94COw/X/8qrVwO3Ld0LInSCi/bkY8GgNtB+iaauqBLb+2UjbIqDto8DotXePvTwaEKr6f47yQmDvZ/rrW/XSDTeHVhgfdObTWTfcHPkKyDXSTdk8SDfc/LocqDASmgAAQvO+Vw5ovpfKUv2w4uqjCSw1vbiplmOaSCbX3M747/HQBLCav+d3AtnQjy075wRrNA/WaB6s0TxY432xaLgpKipCWtrdE2B6ejpOnDgBT09PtG7dGrNmzcK1a9fw9deawUuTJ0/G0qVLERcXhz/+8Y/49ddfsWrVKnzzzTeW+QBXDtQ+gr36pLyoEyDUQNhTwFNfaDZVlQJ/72F817CRd8ONzA5I2QLDIQpAWf7dnyUJcG+leT+FC1BVDtxKr/uztH1U/5qtR2vd5W4v6L5XTW5+ustdRhu/k+Pea84B3YFbRgbq1VR0AxhXy6C3htZpJDD6ayPzOHzcNOaaYI3mwRrNgzWaB2s0mUXvlkpKSsKjjz6qt37ChAlYs2YNXnnlFVy+fBlJSUnabcnJyZg+fbp2Er93333XpEn8zHor+Olvgc2T6t++09Oa33xA03PzSRvA3lkTQhTOmgFoChfNq1UvIPqtu/se/hdg53Bne4129i6ayzyuRga61fda6AOOYn8g1lBjTU1kBs5asUbzYI3mwRrN4yGv0SpvBW8sZg039T0pD/tU8xvs4q3fw9HQ1Ko7cyTUcS30AecfeCDWUCMREVmUKedvPjjzQVQPojI2UBcS0Kwl0GuSZiKvxg42wN1rodX16Ghi12sBNNkaiYjIajDcPAhrOSlXXwttds+A22YBmvVN6XptU66RiIisAi9LmYPBh4W1bDoDvao95NdriYjIenHMTS0a7NlSPCkTERE1GJt9/EKTJpM3jTt5iIiIHnIcc0NEREQ2heGGiIiIbArDDREREdkUhhsiIiKyKRxQTERERGahUgscTs9DdmEZfNwc0TvYE3KZsYluGw7DDRERPfSayknZmv2YosTc71OhzC/TrvN3d8ScEZ0wNNy/lj3Nj+GGiIgeak3ppFybphzAfkxR4vX1x/SeDpiVX4bX1x/D8nE9G/W7ZLghIqIGxZPyg2vKAUylFpj7farBxx4LaB5GNPf7VAzq5Ndov+8MN0RE1GB4Un5wjRHAhBCoUKnhYHd3Zv0jl/Nwu6QSxeVVKCyvQvGdV2FZFbxcFHjr8VAAwOH0PJ3fX71jA1Dml+Fweh6i2nk9UJ31xXBDREQNorF6RdRqzYm5vFKNcpUK5ZVquDjYwdNFAQAorVDh8OU8VFSpUV6l2V5epca5rIJ6nZTf33oa7XxcIZdJCPFxRf/QFgA04eh/p5Wwk0mQyyTYyyXIZTLY31n2cnVAiI+r9ngXbxbVaCuDXCbBTibBTi6DvVzSCRbV6hPA5mw7g2BvV5RVqvSCiIezAiO6BWj3iUs4gZtF5SgsqxFW7vzaPdADW6b01bZ9a+NxZBUY/n5CfVy14Sa70Ph3WFN925kDww0REZldXSdlAJjx7Sl4ujigd7AnACAzrwRf/nwB5VXqO0FEE0aqfx4dGYhxj7QBAKRlF2LUPw6gvEqFSpX+u/xpQFv85ckwAEBOUTkmxB++78/yzZFM7c/P9mipDTeVKjWmfnPc6H5DO/thxcsRms8sBB7/PNlo24HtW2Dtq721yz3/lojyShWEECipVBvdTwC4UVCOIYv3GNzes7WHTrg5cDHXaGApKq/SWe4U0Ay+7o5wdZDD1cEOLg52cL3z8nd31LbzcXO891AG1bedOTDcEBHRA1OpBTLySpCWXYRgb2fcLKyotVcEAArLqrD52FVtuCkoq8S/f7tqtH2/EG/tz3KZTO9kDACSBDjYySDVuIrkrJCjk38zONjL4GAng8JODgc7GQrLKnHwUl6dn21Ae294uTigUqVGj9Ye2vVCAFFtvVClVqNKLaBSC1SqBFRqNapUAn41AoBaAO5O9nfaqKFSC1Sp74Yyu3suexWVV6GiyniouZeTvQzNnRWaAOKoCSAuCjuE+rrqtJv1ZEeohYCrgz1c7oQW7ctRNxLEv9KrXu/dO9gT/u6OyMovMxhmJQB+7o7a3+fGwKeCExGRSQrKKrHn/E1cuFGEtJtFuJhdhEs3i1Gh0pyMY58IRbC3C6ZtOlHnsV7rH4z3h3cCAOQWlWPTkUw42MngYC+Hg1xWI5DIEOTlgrYtNCfriio1rt8uhYO9DAr5nfZ2MtjJJEhS/cbHqNQC/T75uc6T8r53H2uQMTdCCJ2Q42h/97LU1VslUKkFjly+hXf+c7LOY33zx0cabTyLIdWXIAHofJfV35o5LkHyqeBERA+JhroTqai8Chezi5CWXYQL2UXo1sodw7poTk43C8vx5kb9yzGO9jK0a+GK5s6Kel+CeLyjr/ZnL1cHvPFoSL32U9jJEOTtUq+2xshlEuaM6ITX1x+DBMMn5TkjOjXYYGJJkmAnl2BgqA1aNXfW/vr5rnNNqlfEkKHh/lg+rqfe4HE/znNDRESmMOedSPmllVjy0wVcyC7ExewiXL/nktIzPVpqw00bT2dEtmmOti1cEOLjihAfV4T6uKGlhxNkd4KASi2a3KUKQ5raSflelg5gphga7o9BnfyaxG3/vCxFRGSENc7PYugygBACWQVlSKvRE5OWXYTugR7aQbflVSqEffAjagwDgberA0J8NAEmqq03hnc17UTfGJcqzKUp/14DTfuW+sZiyvmb4YaIyICmfDKpHitibMBuda9I0jsxGLPyINKyiwwOvo1o0xybX4/WLi/9+cKdQKPpjfFwVjxwrU35e7Q2TT2ANTSOuSEiegCWmLVWCIHyKjWKy6tQUqFCcYXm15JyFRR2Mp3LN//339P1mp/lWMZt3CwsR1F5FeQyCW28nBF6J7iE+Liio5/uCeLNx0LN+pmApnWpwtrJZZJFBw1bE4YbIqIa6jtrbVQ7b5RXqlBcodIGEid7Obq0cte2X7nnIvJLK1FcrkJJRRWKK1QoKdf82q6FKxY820Xbtvf83bhZWG6wpvCWzfDDW/21yz+m3KjXZ8kuLMMXY7rDw9keQV4uUNjJ6rWfufGkTI2N4YaICJqek9ziCmw/raxXr0i3ubv0tkW19cI3f3pEu7w86SJulVQaPE5ZpUpn2dFepvOzi8IOzg5yuCjs0MZL966gx8N8ap0Pplp1LwnRw4bhhogeGqUVKly9VYJKlUCnAM0lGZVaYPjf9yIjrwQlFao6jqBLJkEnhNSctA0Ano8MREWVGi4Ocjgr7OCikMP5zuRq3q6641m2TukLBzsZnBV2dV6yWfBsV+y9kNPk70QishSGGyKyiIYeHLn56FVcyStBZl4JMu68qi/79An2RMKfowBoLpncLqlESYUKkgR4Otsjt9hwb0tNa1/thQGhLWqdMK76TqT68HZ1qHdba7o9mMgSGG6IqNE9yB00BWWVyMjVhJbMW9XBpRQtXB3w+ehu2nYLd/6OGwX6Y1jcHOzgrNCdNW35uJ5wd7JHy+ZOsJPJ6jVrbb+Q2oNNQ2vq87MQWRLDDRE1qrruRPryxR7o0tIdGXklKK9U44lOd2ewHbQoGReyiwwet6WHk87yU10DUFqpQmBzZ7T21LwCPZ3g7mSvF0p6tG6us2wtvSK8E4nIMIYbImo09XlSdM1p/Vs1d9IJN82c7AEAXi4KBNYILJrwojvo9oOnOt13ndbUK8I7kYj0MdwQUYMRQuBGQTl+zyrAuaxC7LuQU+eTogHAXiahjbcLgr1dIITQ9rQsfbEHmjnaw8Wh4f/pYq8IkfViuCEis1uRfBE//56Nc1mFyC+te3DuvT59vhtG9Wipt97f3clA64bDXhEi68RwQ0QmqahS41JOEc5lFeL3rEKcyyrE5Zxi7Jo+AHZyzVwtvysLcDg9D4AmIAR7u6CDnxtc7OX499G652fxbVa/J0oTERnCcENkg8xxm3X1Y+eqLwnF70tHwpFMXMopQqVKf9TM5dwShPi4AgDG9GqNAe1boIOfG9q1cIWjvVxb1940zs9CRA2L4YbIxtzPbdb5JZWacTE3NL0x57MKce5GIXZM649WzZ01bUorce5GIQDN7dTt/dzQwc8NHf3c0MHXDa2a371kZOxSDudnIaLGwKeCE9kQY7dZV0eFv7/QHUPD/WF/5/LRv49kYlHieWQVGB7ku2pCJB4P09ytlJZdhCu5xejg54aWHk4PNMcLnxRNRKbiU8GJHkL1uc36rW9OYN2rCvRv3wIAoLCTaYNNSw8ndPRzQ/vq3hg/N7T1dtUeo/pJ0ubAO5GIqCEx3BDZiMPpefW6zXr379nacNM/1BubX49Ce183uDnaN3SJOngnEhE1FIYbIiuVXViGg5fy8OvFXDze0QfFFVX12q9HoIf2Zy9XB3iZ8EwjIiJrwHBDZCVyispx8FIufr2Yi4OXcnHxZrF2m0qtxjM9WtXrOD68zZqIbBzDDVETVaVSa+eNySuuQOSHP+lslyQgzK8Zotp54fEwH/QO9oS/uyNvsyaihx7DDVETkV9SiUPpufj1Tu9MCzcHrJvUBwDg6aJAe19XyCQJj7T1QlQ7L/QJ9oSHs0LnGLzNmoiI4YbIovacv4k952/i10u5SFUWoObEDFdyS1CpUmtv2972Zj/tZHjGWNMDH4mIGgrDDZGJ7nf236LyKpzKvI3oEG/tuq/2pWPP+Zva5XYtXLQ9M4+09dIGGwB1BptqvM2aiB52DDdEJjBl8rmSiir8dvmW9jLT6Wv5UKkFDv3lce2zk57q4o+WHo6aQNPWy2yDfXmbNRE9zDhDMVE91TX77/JxPTE03B+7zmThn3su4WTmbVSpdVu39nTG4rHd0bN180apmYjIVnCGYiIzq8/sv3O/T8WgTn4orVTh6JVbADSz/t69zOSpfU4TERE1HIYbonqoz+y/yvwyHE7PQ78Qbyx8riui2nkh0JNhhoioscnqbkJEaTcL69Uuu7AMXq4OGN0rkMGGiMhCGG6IDBBC4FZxhXa5dT2Dio8bZ/8lIrI0XpYiqiErvwz/PXENW45dQ6VKjd1vD4QkSegX0gIeTva4XVppcD/O/ktE1HQw3NBDr7i8Cj+mZGHr8WvYfzFHO5GeQi7DldwSBHm7QC6T8PFzXfD6+mMAOPsvEVFTxnBDD7WNhzLwtx9SUVqp0q7rFdQcz/RoheFd/OHubK9dz9l/iYisA8MNPVTOKgvg5minvSW7taczSitVCPJyxjM9WuGZHi3R2sv4+BrO/ktE1PRxEj+yeTcK7o6j+T2rEJP6BeODpzoB0Mxfc+rqbXQP9IAkMaAQETVVnMSPHnolFVXYeSYLW45dw/60HFRPFGwvl3QuQcllEnpwtmAiIpti8VvBly1bhuDgYDg6OiIiIgJ79+6ttf0//vEPhIWFwcnJCR06dMDXX3/dSJWStRBCYNiSvZiecBJ7L2iCTUSb5vhwVDiOzH4C85/pYukSiYioAVm05yYhIQGxsbFYtmwZ+vbti3/+858YNmwYUlNT0bp1a732y5cvx6xZs/Cvf/0LvXr1wuHDh/HHP/4RzZs3x4gRIyzwCagp+D2rADtOZ2Hq46GQyyRIkoTHO/pi9+838EyPlnimR0u08XKxdJlERNRILDrmpk+fPujZsyeWL1+uXRcWFoZRo0ZhwYIFeu2jo6PRt29ffPrpp9p1sbGx+O2337Bv3756vSfH3DRtKrWo12Dd7IIy/PfEdWw5fg1nlQUAgA2v9UHfEG8AQGmFCo72Mo6jISKyEVYx5qaiogJHjx7Fe++9p7N+8ODBOHDggMF9ysvL4eioOwOsk5MTDh8+jMrKStjb2xvcp7y8XLtcUFBghuqpIfyYotS7zdq/xm3WJRVV2HXmBjYfu6o3jubRDj5wdbj7x9lJIW/s8omIqImwWLjJycmBSqWCr6+vznpfX19kZWUZ3GfIkCH46quvMGrUKPTs2RNHjx5FfHw8KisrkZOTA39//XlGFixYgLlz5zbIZyDz+TFFidfXH9N76nZWfhleX38My8f1hE8zR8QmnNBu69naA8/0bIWnuvijuYuiUeslIqKmy+J3S9172UAIYfRSwgcffICsrCw88sgjEELA19cXr7zyChYuXAi53PD/1GfNmoW4uDjtckFBAQIDA833AeiBqdQCc79P1Qs2gGYmYAnA3O9TsXfmo+gf6o0erZvjmR4tEezNcTRERKTPYndLeXt7Qy6X6/XSZGdn6/XmVHNyckJ8fDxKSkpw+fJlZGRkICgoCG5ubvD29ja4j4ODA5o1a6bzoqblcHqezqWoewkAyvwyHLl8C+sm9UHcoPYMNkREZJTFwo1CoUBERAQSExN11icmJiI6OrrWfe3t7dGqVSvI5XJs2rQJTz31FGQyi9/VTvfpd2X9xkFlFxoPQERERNUselkqLi4OL7/8MiIjIxEVFYWVK1ciIyMDkydPBqC5pHTt2jXtXDbnz5/H4cOH0adPH9y6dQuLFi1CSkoK1q5da8mPQQ/oWObterXzcXOsuxERET30LBpuxowZg9zcXMybNw9KpRLh4eHYvn072rRpAwBQKpXIyMjQtlepVPj8889x7tw52Nvb49FHH8WBAwcQFBRkoU9Apiosq8SWY9fQKaAZegV5AgDeGdweO89koaJKbXAfCZqHU/YO9mzESomIyFrx2VLUKNKyC/H1r1ew+ehVFFeo8ESYD76a0Eu7vfpuKQA6A4urh5YvH9eTT90mInqIWcU8N2T7VGqBn87ewNe/Xsb+tFzt+nYtXDCwg49O26Hh/lg+rqfePDd+Nea5ISIiqg+GG2owk9YeQdK5mwAAmQQ8EeaLCdFBiG7nZfB2/6Hh/hjUya9eMxQTEREZw3BDZnP6aj7a+bjAWaH5Y/VEmC9OZt7G2N6t8VKf1mjV3LnOY8hlEqLaeTV0qUREZMMYbuiBVFSpsf20Emt/vYzjGbcx/5kueLGP5qGnf4hohT9EtIKjPR+FQEREjYfhhu5LVn4ZNh66go2HM5FTpHl2l71cQlZ+qbYNQw0REVkCww2ZRKUWmLbpOHakZEF158mVfs0c8VKf1hjbuzVauDlYuEIiInrYMdxQnSpVatjLNTNAy2USSipUUKkF+gR7YkJ0EAZ18tVuJyIisjTOc0NGXc4pxrqDV7Dl2FX8MLU/Wno4AQDOKgsgSUBHP35/RETUODjPDRmkUos6b7NWqwWSL9zE1wcuI+n8TVRH3++OX8Mbj4YAAML8GWqIiKjpYrh5SPyYotSbIM+/xgR5JRVV2HgoA+sOXsGV3BJtm0c7tMD46CAMDG1hibKJiIhMxnDzEKh+tMG91x+z8svw+vpjWD6uJ/qGeOOLxPMorlDBzdEOoyMD8fIjbRDk7WKRmomIiO4Xw42NU6kF5n6fqhdsAM0znCQAc79Pxb53H8O0J0Lh6mCPUT0CtBPxERERWRuewWzc4fQ8nUtR9xIAlPllOJyehz8NaNd4hRERETUQ3r9r47ILjQeb+2lHRETU1DHc2DgfN0eztiMiImrqGG5sXO9gTzRzNH71UYLmrqnewZ6NVxQREVEDYrixcXKZhDfvzE9zr+oZbuaM6KQ33w0REZG1Yrh5CPxpYDt88lwX+LnrXnryc3fE8nE9MTTc30KVERERmR/vlrJRu8/egIezAhFtmgMAxvRqjT9EBNY5QzEREZG1Y7ixQfsu5OD19cdgJ5ewZUq09hlQcpmEqHZeFq6OiIioYfGylI357XIe/vj1b6hQqTEgtAVCWrhauiQiIqJGxXBjQ1Ku5WPi6iMorVRhYPsWWPJCd9jJ+VtMREQPF575bMT5G4V4edUhFJZXoXewJ1aMi4CDndzSZRERETU6hhsbcPVWCcZ9dQi3SirRrZU7Vk2IhJOCwYaIiB5OHFBsA7xdHdC1lTuu3irF2ld7w83R3tIlERERWQzDjQ1wtJdj+bgIFJZVwcNZYelyiIiILIqXpazU7ZIKfLX3EoQQAAB7uQyeLgw2RERE7LmxQkXlVZiw+ghOZt7GrZIKzBjS0dIlERERNRnsubEypRUqTFqjCTbNne3xdPeWli6JiIioSWG4sSIVVWq8vuEoDqXnwc3BDl+/2gftfd0sXRYREVGTwnBjJapUakzbdBxJ527C0V6G+Im90KWVu6XLIiIianIYbqzEe1tOY0dKFhRyGf41PhK9gjwtXRIREVGTxHBjJfqHesPBToalL/ZA/9AWli6HiIioyeLdUlbi6e4tEdXWCz7NHC1dChERUZPGnpsmbMOhK7hRUKZdZrAhIiKqG8NNE7VqXzpmb03B8yt+RVF5laXLISIishoMN03QN4cz8LcfUgEAf4hoBVcHXj0kIiKqL4abJua/J67hL1tPAwD+PKAt3nosxMIVERERWReGmyZk15ksxP37JIQAxj3SGu8N6whJkixdFhERkVVhuGkiDlzMwZsbj0OlFni2R0vMGxnOYENERHQfOJijiQj2dkErTye093HDwj90hUzGYENERHQ/GG6aCH93J3w7ORouDnLYydmhRkREdL94FrWg8zcK8b9TSu2yp4sCDnZyC1ZERERk/R6o50YIAQAcG3IfLucU46WvDiGnqBx28ggM6exn6ZKIiIhswn313Hz99dfo0qULnJyc4OTkhK5du2LdunXmrs1mXb9dipe+OoSbheXo4OuGPsF8CCYREZG5mNxzs2jRInzwwQd488030bdvXwghsH//fkyePBk5OTmYPn16Q9RpM24WlmPcV4dw7XYp2nq7YN2kPvBwVli6LCIiIpshieprS/UUHByMuXPnYvz48Trr165di7/+9a9IT083a4HmVlBQAHd3d+Tn56NZs2aN+t63SyowduVB/J5ViJYeTvjP5CgEeDg1ag1ERETWyJTzt8mXpZRKJaKjo/XWR0dHQ6lUGtiDAKC0QoUJ8Yfxe1YhfNwcsOG1Pgw2REREDcDkcBMSEoJ///vfeusTEhIQGhpqlqJskaO9DJFBnmjubI8Nr/VBkLeLpUsiIiKySSaPuZk7dy7GjBmDPXv2oG/fvpAkCfv27cPu3bsNhh7SkCQJ7w8Pwx/7t4Wfu6OlyyEiIrJZJvfcPPfcczh06BC8vb3x3XffYcuWLfD29sbhw4fxzDPPNESNVqtKpcbKPRdRVqkCoAk4DDZEREQNy+QBxdausQYUq9UC7/znJLYcv4Ynwnzwr/GRnA+IiIjoPply/q7XZamCggLtgQoKCmpt29h3IDUVKrXA4fQ8ZBeWwcfNAdtOXseW49cgl0kY06s1gw0REVEjqVe4ad68OZRKJXx8fODh4WHwRC2EgCRJUKlUZi+yqfsxRYm536dCmV+mt23R6G4Y1MnXAlURERE9nOoVbn7++Wd4empm0f3ll18atCBr82OKEq+vPwZj1/Yc7Pj4LiIiosZUr3AzcOBA7c/BwcEIDAzU670RQiAzM9O81TVxKrXA3O9TjQYbCcDc71MxqJMf5DJeliIiImoMJncrBAcH4+bNm3rr8/LyEBwcbJairMXh9DyDl6KqCQDK/DIcTs9rvKKIiIgeciaHm+qxNfcqKiqCo6PptzkvW7YMwcHBcHR0REREBPbu3Vtr+w0bNqBbt25wdnaGv78/Jk6ciNzcXJPf1xyyC40Hm/tpR0RERA+u3pP4xcXFAdDM1fLBBx/A2dlZu02lUuHQoUPo3r27SW+ekJCA2NhYLFu2DH379sU///lPDBs2DKmpqWjdurVe+3379mH8+PH44osvMGLECFy7dg2TJ0/Ga6+9hq1bt5r03ubg41a/MFffdkRERPTg6h1ujh8/DkDTc3P69GkoFHefZK1QKNCtWze88847Jr35okWLMGnSJLz22msAgMWLF2Pnzp1Yvnw5FixYoNf+4MGDCAoKwtSpUwFoLpH9+c9/xsKFC42+R3l5OcrLy7XLdd3KborewZ7wd3dEVn6ZwXE3EgA/d0f0DvY023sSERFR7eodbqrvkpo4cSKWLFnywPPZVFRU4OjRo3jvvfd01g8ePBgHDhwwuE90dDRmz56N7du3Y9iwYcjOzsa3336L4cOHG32fBQsWYO7cuQ9UqzFymYQ5Izrh9fXHIAE6Aaf6wt2cEZ04mJiIiKgRmTzmZvXq1WaZqC8nJwcqlQq+vrpzwPj6+iIrK8vgPtHR0diwYQPGjBkDhUIBPz8/eHh44MsvvzT6PrNmzUJ+fr72Ze47uoaG+2P5uJ56j1Xwc3fE8nE9MTTc36zvR0RERLUz+cGZAHDkyBH85z//QUZGBioqKnS2bdmyxaRjGbql3NhsvqmpqZg6dSr+7//+D0OGDIFSqcSMGTMwefJkrFq1yuA+Dg4OcHBwMKkmUw0N98egTn41ZijWXIpijw0REVHjMzncbNq0CePHj8fgwYORmJiIwYMH48KFC8jKyjLpwZne3t6Qy+V6vTTZ2dl6vTnVFixYgL59+2LGjBkAgK5du8LFxQX9+/fHhx9+CH9/y/WSyGUSotp5Wez9iYiISMPky1Lz58/HF198gR9++AEKhQJLlizB2bNnMXr0aIN3OBmjUCgQERGBxMREnfWJiYmIjo42uE9JSQlkMt2S5XI5AE2PDxEREZHJ4ebixYvaAbwODg4oLi6GJEmYPn06Vq5cadKx4uLi8NVXXyE+Ph5nz57F9OnTkZGRgcmTJwPQjJcZP368tv2IESOwZcsWLF++HJcuXcL+/fsxdepU9O7dGwEBAaZ+FCIiIrJBJl+W8vT0RGFhIQCgZcuWSElJQZcuXXD79m2UlJSYdKwxY8YgNzcX8+bNg1KpRHh4OLZv3442bdoAAJRKJTIyMrTtX3nlFRQWFmLp0qV4++234eHhgcceewyffPKJqR+DiIiIbJQkTLye8+KLLyIyMhJxcXH46KOPsGTJEjz99NNITExEz549TR5Q3NgKCgrg7u6O/Px8s9z1RURERA3PlPO3yT03S5cuRVmZ5nECs2bNgr29Pfbt24dnn30WH3zwwf1VTERERGQmJvXcVFVVYcOGDRgyZAj8/Pwasq4Gw54bIiIi62PK+dukAcV2dnZ4/fXXdR5nQERERNSUmHy3VJ8+fbTPmSIiIiJqakweczNlyhS8/fbbuHr1KiIiIuDi4qKzvWvXrmYrjoiIiMhUJt8tde8keoDmEQrVj01QqVRmK64hcMwNERGR9WnQu6XS09PvuzAiIiKihmZyuKmeYI+IiIioKTJ5QDERERFRU8ZwQ0RERDaF4YaIiIhsCsMNERER2RSGGyIiIrIpZgs3EyZMwGOPPWauwxERERHdF5NuBRdCICMjAz4+PnByctLZ1rJlS4MT/BERERE1JpNmKFar1XB0dMSZM2cQGhrakHU1GM5QTEREZH0a7KngMpkMoaGhyM3NfaACiYiIiBqKydeRFi5ciBkzZiAlJaUh6iEiIiJ6ICY/OLN58+YoKSlBVVUVFAqF3tibvLw8sxZobrwsRUREZH0a9MGZixcvvt+6iIiIiBqcyeFmwoQJDVEHERERkVmYHG4AQKVSYevWrTh79iwkSUJYWBiefvpp2Nnd1+GIiIiIzMbkNJKSkoKnn34aWVlZ6NChAwDg/PnzaNGiBbZt24YuXbqYvUgiIiKi+jL5bqnXXnsNnTt3xtWrV3Hs2DEcO3YMmZmZ6Nq1K/70pz81RI1ERERE9WZyz83Jkyfx22+/oXnz5tp1zZs3x0cffYRevXqZtTgiIiIiU5ncc9OhQwfcuHFDb312djZCQkLMUhQRERHR/TI53MyfPx9Tp07Ft99+i6tXr+Lq1av49ttvERsbi08++QQFBQXaFxEREVFjM3kSv5oPx5QkCYDmgZr3LkuSBJVKZa46zYaT+BEREVmfBp3E75dffrnvwoiIiIgamsnhZuDAgQ1RBxEREZFZ3Nese7du3cKqVat0JvGbOHEiPD09zV0fERERkUlMHlCcnJyMoKAg/P3vf8etW7eQl5eHv//97wgODkZycnJD1EhERERUbyYPKA4PD0d0dDSWL18OuVwOQPM4hilTpmD//v1ISUlpkELNhQOKiYiIrI8p52+Te24uXryIt99+WxtsAEAulyMuLg4XL140vVoiIiIiMzI53PTs2RNnz57VW3/27Fl0797dHDURERER3TeTBxRPnToV06ZNQ1paGh555BEAwMGDB/GPf/wDH3/8MU6dOqVt27VrV/NVSkRERFQPDzSJn8EDShIn8SMiIiKzatBJ/NLT0++7MCIiIqKGZnK4adOmTUPUQURERGQW9zWJHwCkpqYiIyMDFRUVOutHjhz5wEURERER3S+Tw82lS5fwzDPP4PTp09rxNcDdh2Y2xXE2RERE9PAw+VbwadOmITg4GDdu3ICzszPOnDmDPXv2IDIyEklJSQ1QIhEREVH9mdxz8+uvv+Lnn39GixYtIJPJIJPJ0K9fPyxYsABTp07F8ePHG6JOIiIionoxuedGpVLB1dUVAODt7Y3r168D0Aw0PnfunHmrIyIiIjKRyT034eHhOHXqFNq2bYs+ffpg4cKFUCgUWLlyJdq2bdsQNRIRERHVm8nh5v3330dxcTEA4MMPP8RTTz2F/v37w8vLCwkJCWYvkIiIiMgUJs9QbEheXh6aN2+uvWOqKeMMxURERNanQWcoNsTT09MchyEiIiJ6YCYPKCYiIiJqyhhuiIiIyKYw3BAREZFNYbghIiIim8JwQ0RERDaF4YaIiIhsCsMNERER2RSGGyIiIrIpFg83y5YtQ3BwMBwdHREREYG9e/cabfvKK69AkiS9V+fOnRuxYiIiImrKLBpuEhISEBsbi9mzZ+P48ePo378/hg0bhoyMDIPtlyxZAqVSqX1lZmbC09MTzz//fCNXTkRERE2VWZ4tdb/69OmDnj17Yvny5dp1YWFhGDVqFBYsWFDn/t999x2effZZpKeno02bNgbblJeXo7y8XLtcUFCAwMBAPluKiIjIipjybCmL9dxUVFTg6NGjGDx4sM76wYMH48CBA/U6xqpVq/DEE08YDTYAsGDBAri7u2tfgYGBD1Q3ERERNW0WCzc5OTlQqVTw9fXVWe/r64usrKw691cqldixYwdee+21WtvNmjUL+fn52ldmZuYD1U1ERERNm1meCv4gJEnSWRZC6K0zZM2aNfDw8MCoUaNqbefg4AAHB4cHKZGIiIisiMV6bry9vSGXy/V6abKzs/V6c+4lhEB8fDxefvllKBSKhiyTiIiIrIzFwo1CoUBERAQSExN11icmJiI6OrrWfZOTk5GWloZJkyY1ZIlERERkhSx6WSouLg4vv/wyIiMjERUVhZUrVyIjIwOTJ08GoBkvc+3aNXz99dc6+61atQp9+vRBeHi4JcomIiKiJsyi4WbMmDHIzc3FvHnzoFQqER4eju3bt2vvflIqlXpz3uTn52Pz5s1YsmSJJUomIiKiJs6i89xYgin3yRMREVHTYBXz3BARERE1BIYbIiIisikMN0RERGRTGG6IiIjIpjDcEBERkU1huCEiIiKbwnBDRERENoXhhoiIiGwKww0RERHZFIYbIiIisikMN0RERGRTGG6IiIjIpjDcEBERkU1huCEiIiKbwnBDRERENoXhhoiIiGwKww0RERHZFIYbIiIisikMN0RERGRTGG6IiIjIpjDcEBERkU1huCEiIiKbwnBDRERENoXhhoiIiGwKww0RERHZFIYbIiIisikMN0RERGRTGG6IiIjIpjDcEBERkU1huCEiIiKbwnBDRERENoXhhoiIiGwKww0RERHZFIYbIiIisikMN0RERGRTGG6IiIjIpjDcEBERkU1huCEiIiKbwnBDRERENoXhhoiIiGwKww0RERHZFIYbIiIisikMN0RERGRTGG6IiIjIpjDcEBERkU1huCEiIiKbwnBDRERENoXhhoiIiGwKww0RERHZFIYbIiIisikMN0RERGRTGG6IiIjIpjDcEBERkU1huCEiIiKbwnBDRERENoXhhoiIiGyKxcPNsmXLEBwcDEdHR0RERGDv3r21ti8vL8fs2bPRpk0bODg4oF27doiPj2+kaomIiKips7PkmyckJCA2NhbLli1D37598c9//hPDhg1DamoqWrdubXCf0aNH48aNG1i1ahVCQkKQnZ2NqqqqRq6ciIiImipJCCEs9eZ9+vRBz549sXz5cu26sLAwjBo1CgsWLNBr/+OPP2Ls2LG4dOkSPD097+s9CwoK4O7ujvz8fDRr1uy+ayciIqLGY8r522KXpSoqKnD06FEMHjxYZ/3gwYNx4MABg/ts27YNkZGRWLhwIVq2bIn27dvjnXfeQWlpqdH3KS8vR0FBgc6LiIiIbJfFLkvl5ORApVLB19dXZ72vry+ysrIM7nPp0iXs27cPjo6O2Lp1K3JycjBlyhTk5eUZHXezYMECzJ071+z1ExERUdNk8QHFkiTpLAsh9NZVU6vVkCQJGzZsQO/evfHkk09i0aJFWLNmjdHem1mzZiE/P1/7yszMNPtnICIioqbDYj033t7ekMvler002dnZer051fz9/dGyZUu4u7tr14WFhUEIgatXryI0NFRvHwcHBzg4OJi3eCIiImqyLNZzo1AoEBERgcTERJ31iYmJiI6ONrhP3759cf36dRQVFWnXnT9/HjKZDK1atWrQeomIiMg6WPSyVFxcHL766ivEx8fj7NmzmD59OjIyMjB58mQAmktK48eP17Z/8cUX4eXlhYkTJyI1NRV79uzBjBkz8Oqrr8LJyclSH4OIiIiaEIvOczNmzBjk5uZi3rx5UCqVCA8Px/bt29GmTRsAgFKpREZGhra9q6srEhMT8dZbbyEyMhJeXl4YPXo0PvzwQ0t9BCIiImpiLDrPjSVwnhsiIiLrYxXz3BARERE1BIYbIiIisikMN0RERGRTGG6IiIjIpjDcEBERkU1huCEiIiKbYtF5bpoylUqFyspKS5dBDzmFQgGZjP8HISIyBcPNPYQQyMrKwu3bty1dChFkMhmCg4OhUCgsXQoRkdVguLlHdbDx8fGBs7Oz0SeUEzU0tVqN69evQ6lUonXr1vyzSERUTww3NahUKm2w8fLysnQ5RGjRogWuX7+Oqqoq2NvbW7ocIiKrwIv5NVSPsXF2drZwJUQa1ZejVCqVhSshIrIeDDcGsPufmgr+WSQiMh3DDREREdkUjrlpICq1wOH0PGQXlsHHzRG9gz0hl/F/4URERA2N4aYB/JiixNzvU6HML9Ou83d3xJwRnTA03N+ClVmvmJgYdO/eHYsXLzbaZs2aNYiNjeVt/EREDzleljKzH1OUeH39MZ1gAwBZ+WV4ff0x/JiibLD3zszMxKRJkxAQEACFQoE2bdpg2rRpyM3NNdh+48aNkMvlmDx5ssHteXl5iI2NRVBQEBQKBfz9/TFx4kRkZGQYbD9//nzI5XJ8/PHHZvtM1bZs2YK//e1v2uWgoKBag059Xb58GZIkGXwdPHjwgY9PRESNj+Gmnkoqqoy+yio1d7Ko1AJzv0+FMLB/9bq/fp8KlVrUeVxTXbp0CZGRkTh//jy++eYbpKWlYcWKFdi9ezeioqKQl5ent098fDxmzpyJTZs2oaSkRGdbXl4eHnnkEfz0009YtmwZ0tLSkJCQgIsXL6JXr164dOmS3vFWr16NmTNnIj4+3uT66+Lp6Qk3NzezH7faTz/9BKVSqfOKiIhosPcjIqKGw8tS9dTp/3Ya3fZohxZYPbE3Dqfn6fXY1CSg6cE5nJ6HqHaaeXT6ffIL8oor9Npe/ni4SfW98cYbUCgU2LVrF5ycnAAArVu3Ro8ePdCuXTvMnj0by5cvv3v8y5dx4MABbN68Gb/88gu+/fZbjB8/Xrt99uzZuH79OtLS0uDn56c93s6dOxEaGoo33ngDO3bs0LZPTk5GaWkp5s2bh6+//hp79uzBgAEDjNb73HPPISAgAF9++SUAIDY2FkuWLEFKSgo6d+6MqqoqNG/eHN9++y2GDBmic1kqJiYGV65cwfTp0zF9+nTNdyvuBsadO3ciNjYWmZmZ6NevH1avXg1//9ovB3p5eWk/JxERWTf23JhRdqHxYHM/7eorLy8PO3fuxJQpU7TBppqfnx9eeuklJCQk6ASA+Ph4DB8+HO7u7hg3bhxWrVql3aZWq7Fp0ya89NJLeid8JycnTJkyBTt37tTpDVq1ahVeeOEF2Nvb44UXXtA5niExMTFISkrSLicnJ8Pb2xvJyckAgCNHjqCsrAx9+/bV23fLli1o1aoV5s2bp+1lqVZSUoLPPvsM69atw549e5CRkYF33nmn1lqIiMi2sOemnlLnDTG6TXZnLhIfN8d6Hatmu33vPvpghQG4cOEChBAICwszuD0sLAy3bt3CzZs34ePjA7VajTVr1mh7TcaOHYu4uDikpaUhJCQEN2/exO3bt2s9nhACaWlp6N27NwoKCrB582YcOHAAADBu3Dj07dsXX375JZo1a2bwGDExMZg2bRpycnIgl8tx5swZzJkzB0lJSZgyZQqSkpIQEREBV1dXvX09PT0hl8vh5uamF74qKyuxYsUKtGvXDgDw5ptvYt68eXV+h9HR0XoPqMzPz4dcLq9zXyIialrYc1NPzgo7oy9He80JsHewJ/zdHWHshm8Jmrumegd71nlcc6rusame7XbXrl0oLi7GsGHDAADe3t4YPHhwvcfKVB+veoK5jRs3om3btujWrRsAoHv37mjbti02bdpk9Bjh4eHw8vJCcnIy9u7di27dumHkyJHanpukpCQMHDjQ5M/q7OysDTYA4O/vj+zs7Dr3S0hIwIkTJ3ReDDZERNaJ4caM5DIJc0Z0AgC9gFO9PGdEJ7PPdxMSEgJJkpCammpw+++//44WLVrAw8MDgOaSVF5eHpydnWFnZwc7Ozts374da9euhUql0rat7XiSJGlDRHx8PM6cOaM9lp2dHc6cOVPrpSlJkjBgwAAkJSUhOTkZMTExCA8Ph0qlwunTp3HgwAHExMSY/F3c+/wlSZJ0LscZExgYiJCQEJ0XERFZJ4YbMxsa7o/l43rCz133EpWfuyOWj+vZIPPceHl5YdCgQVi2bBlKS0t1tmVlZWHDhg145ZVXAAC5ubn473//i02bNun1VBQVFWHHjh2QyWQYPXo0Nm7ciKysLJ3jlZaWYtmyZRgyZAg8PT1x+vRp/Pbbb0hKStI51p49e3DkyBGkpKQYrbt63E1SUhJiYmIgSRL69++Pzz77DKWlpQbH21RTKBR83hIRERnEMTcNYGi4PwZ18mvUGYqXLl2K6OhoDBkyBB9++CGCg4Nx5swZzJgxA+3bt8f//d//AQDWrVsHLy8vPP/883pjTJ566imsWrUKTz31FD766CPs3r0bgwYNwsKFCxEeHo709HS8//77qKysxD/+8Q8AmoHEvXv3NnhnVFRUFFatWoUvvvjCYM3V427s7OzQv39/7bq3334bPXv2NDpeB9DMc7Nnzx6MHTsWDg4O8Pb2vq/vrVpubq5ekPPw8ICjY/3GURERUdPBnpsGIpdJiGrnhae7t0RUO68Gf/RCaGgojhw5grZt22L06NFo06YNhg0bhvbt22P//v3agbnx8fF45pln9IINoLk9+4cffsCNGzfg7e2NgwcP4tFHH8Wf//xn7XHbtm2rfZ+KigqsX78ezz33nMGannvuOaxfvx4VFfq3ugOacTfe3t7o1q2bNsgMHDgQKpWqzvE28+bNw+XLl9GuXTu0aNHClK/KoCeeeAL+/v46r+++++6Bj0tERI1PEvUZkGBDCgoK4O7ujvz8fL2egbKyMqSnpyM4ONgm/sc+Z84cLFq0CLt27UJUVJSly6H7YGt/JomI7ldt5+978bKUDZs7dy6CgoJw6NAh9OnTx2BvDRERka1huLFxEydOtHQJREREjYr/lSciIiKbwnBDRERENoXhhoiIiGwKww0RERHZFIYbIiIisikMN0RERGRTeCt4Q1GrgCsHgKIbgKsv0CYakPEp00RERA2NPTcNIXUbsDgcWPsUsHmS5tfF4Zr1dF9iYmIQGxtba5s1a9Zon3xOREQPL4Ybc0vdBvx7PFBwXXd9gVKzvgEDTmZmJiZNmoSAgAAoFAq0adMG06ZNQ25ursH2GzduhFwux+TJkw1uz8vLQ2xsLIKCgqBQKODv74+JEyciIyPDYPv58+dDLpfj448/NttnqrZlyxb87W9/0y4HBQVh8eLFZjv+5s2bERMTA3d3d7i6uqJr166YN28e8vLy8Pnnn8Pd3R0lJSV6+5WVlcHDwwOLFi2q8z3WrFkDSZK0L19fX4wYMQJnzpwx2+cgIiKGm/qrKDb+qizTtFGrgB/fBWDocV131v34rqZdXcc10aVLlxAZGYnz58/jm2++QVpaGlasWIHdu3cjKioKeXl5evvEx8dj5syZ2LRpk96JOy8vD4888gh++uknLFu2DGlpaUhISMDFixfRq1cvXLp0Se94q1evxsyZMxEfH29y/XXx9PSEm5ub2Y8LALNnz8aYMWPQq1cv7NixAykpKfj8889x8uRJrFu3DuPHj0dpaSk2b96st+/mzZtRUlKCl19+uV7v1axZMyiVSly/fh3/+9//UFxcjOHDhxt9uCgREd0H8ZDJz88XAER+fr7ettLSUpGamipKS0v1d5zTzPhr/R80bS7tqb1d9evSnrvH/STYcBsTDR06VLRq1UqUlJTorFcqlcLZ2VlMnjxZZ316erpwcnISt2/fFn369BFr167V2T558mTh4uIilEqlzvqSkhLRsmVLMXToUJ31SUlJomXLlqKiokIEBASI5OTkWut99tlnxZtvvqldnjZtmgAgUlJShBBCVFZWCldXV/Hjjz8KIYQYOHCgmDZtmvZnaNKi9iWEEKtXrxbu7u7ixx9/FB07dhQuLi5iyJAh4vr160brOHTokAAgFi9ebHD7rVu3tPXGxMTobX/sscfEc889J4QQYubMmSI0NFQ4OTmJ4OBg8f7774uKigpt2+r6atq2bZsAIE6dOmXw/Wv9M0lE9BCp7fx9L/bcmFPRDfO2q6e8vDzs3LkTU6ZMgZOTk842Pz8/vPTSS0hISICo8QD4+Ph4DB8+HO7u7hg3bhxWrVql3aZWq7Fp0ya89NJL8PPz0zmek5MTpkyZgp07d+r0Bq1atQovvPAC7O3t8cILL+gcz5CYmBgkJSVpl5OTk+Ht7Y3k5GQAwJEjR1BWVoa+ffvq7btlyxa0atUK8+bNg1KphFKp1G4rKSnBZ599hnXr1mHPnj3IyMjAO++8Y7SODRs2wNXVFVOmTDG4vXoMz6RJk5CcnIz09HTttsuXL+OXX37BpEmTAABubm5Ys2YNUlNTsWTJEvzrX//CF198YfS9b9++jY0bNwIA7O3tjbYjIiLT8G6p+vrLdePbpDt3Qbn61u9YNdvFnr7/mu64cOEChBAICwszuD0sLAy3bt3CzZs34ePjA7VajTVr1uDLL78EAIwdOxZxcXFIS0tDSEgIbt68idu3b9d6PCEE0tLS0Lt3bxQUFGDz5s04cOAAAGDcuHHo27cvvvzyS6OPpY+JicG0adOQk5MDuVyOM2fOYM6cOUhKSsKUKVOQlJSEiIgIuLq66u3r6ekJuVwONzc3vfBVWVmJFStWoF27dgCAN998E/Pmzav1u2vbtm2d4WLIkCEICAjAmjVrMHfuXACay3ABAQEYPHgwAOD999/Xtg8KCsLbb7+NhIQEzJw5U7s+Pz8frq6uEEJoLwWOHDkSHTt2rPX9iYio/thzU18KF+Mve0dNmzbRQLMAAJKRg0hAs5aadnUd14yqe2wUCgUAYNeuXSguLsawYcMAAN7e3hg8eHC9x8pUH0+SNJ9z48aNaNu2Lbp16wYA6N69O9q2bYtNmzYZPUZ4eDi8vLyQnJyMvXv3olu3bhg5cqS25yYpKQkDBw40+bM6Oztrgw0A+Pv7Izs7u9bPUv05aiOXyzFhwgSsWbMGarUaQgisXbsWr7zyCuRyTbj99ttv0a9fP/j5+cHV1RUffPCB3uBrNzc3nDhxAkePHtWGsBUrVpj8OYmIyDiGG3OSyYGhn9xZuPeEeWd56Mdmn+8mJCQEkiQhNTXV4Pbff/8dLVq00F5iiY+PR15eHpydnWFnZwc7Ozts374da9euhUql0rat7XiSJGlDRHx8PM6cOaM9lp2dHc6cOVPrpSlJkjBgwAAkJSUhOTkZMTExCA8Ph0qlwunTp3HgwAHExMSY/F3c2wMjSZLO5bh7tW/fHhcvXkRlZWWdx3711VeRmZmJn3/+Gbt370ZGRgYmTpwIADh48CDGjh2LYcOG4YcffsDx48cxe/ZsvYHCMpkMISEh6NixI/785z/j5ZdfxpgxY0z+nEREZBzDjbl1GgmM/hpo5q+7vlmAZn2nkWZ/Sy8vLwwaNAjLli1DaWmpzrasrCxs2LABr7zyCgAgNzcX//3vf7Fp0yacOHFC51VUVIQdO3ZAJpNh9OjR2LhxI7KysnSOV1paimXLlmHIkCHw9PTE6dOn8dtvvyEpKUnnWHv27MGRI0eQkpJitO7qcTdJSUmIiYmBJEno378/PvvsM5SWlhocb1NNoVBApVIZ3V5fL774IoqKirBs2TKD22/fvq39uV27dhg4cCBWr16N+Ph4xMTEaAPe/v370aZNG8yePRuRkZEIDQ3FlStX6nz/6dOn4+TJk9i6desDfxYiIrqj4cY1N033fbeUqVRVmruiTv1H86uq6sGPWYvz588Lb29v0b9/f5GcnCwyMjLEjh07RHh4uOjevbsoLCwUQgjxxRdfCH9/f6FSqfSO8eKLL4pRo0YJIYS4efOmaNeunQgPDxfbt28XGRkZIjk5WfTv31/4+PiIixcvCiE0dzn16dPHYE3R0dEiNjbWaM2nTp0SkiQJe3t77e/H4sWLhVwuF7169dJpW/NuKSGEGDRokBg5cqS4evWquHnzphDC8N1IW7duFXX9MZ85c6aQy+VixowZ4sCBA+Ly5cvip59+En/4wx/07qJat26dcHR0FI6OjmL9+vXa9d99952ws7MT33zzjUhLSxNLliwRnp6eOvUYqk8IIeLi4kSXLl2EWq3W28a7pYiINEy5W4rhpgZrP5Gkp6eLCRMmCF9fXyFJkgAgnn32WVFcXKxt06VLFzFlyhSD+2/evFnY2dmJrKwsIYQm4Lz11lsiMDBQ2NnZCV9fXzFhwgRx5coVIYQQ5eXlwsvLSyxcuNDg8T7//HPh7e0tysvLDW5Xq9WiRYsWIjIyUrvu+PHjAoB45513dNreG25+/fVX0bVrV+Hg4KB3K3hN9Qk3QgiRkJAgBgwYINzc3ISLi4vo2rWrmDdvnvZW8GolJSXC3d1duLu76912P2PGDOHl5SVcXV3FmDFjxBdffFGvcHPlyhVhZ2cnEhIS9LZZ+59JIiJzMSXcSELUMiDBBhUUFMDd3R35+fl6d/KUlZUhPT0dwcHBcHR0tFCF5jNnzhwsWrQIu3btQlRUlKXLoftga38miYjuV23n73vxVnAbNnfuXAQFBeHQoUPo06cPZDIOsSIiItvHcGPjqu/mISIieljwv/JERERkUxhuDHjIhiFRE8Y/i0REpmO4qaF6Arh7n5BNZCnVkwBWz4JMRER145ibGuRyOTw8PLTT9Ts7O9dran6ihqBWq3Hz5k3tTNJERFQ//BfzHtUPYqzteUREjUUmk6F169YM2UREJmC4uYckSfD394ePj0+9njdE1JAUCgVv4SciMhHDjRFyuZzjHIiIiKyQxf9LuGzZMu3sqxEREdi7d6/RtklJSZAkSe/1+++/N2LFRERE1JRZNNwkJCQgNjYWs2fPxvHjx9G/f38MGzYMGRkZte537tw5KJVK7Ss0NLSRKiYiIqKmzqLhZtGiRZg0aRJee+01hIWFYfHixQgMDMTy5ctr3c/Hxwd+fn7aFy8fERERUTWLjbmpqKjA0aNH8d577+msHzx4MA4cOFDrvj169EBZWRk6deqE999/H48++qjRtuXl5SgvL9cu5+fnA9A8gIuIiIisQ/V5uz6Tm1os3OTk5EClUsHX11dnva+vL7Kysgzu4+/vj5UrVyIiIgLl5eVYt24dHn/8cSQlJWHAgAEG91mwYAHmzp2rtz4wMPDBPwQRERE1qsLCQri7u9faxuJ3S907f4cQwuicHh06dECHDh20y1FRUcjMzMRnn31mNNzMmjULcXFx2mW1Wo28vDx4eXk9lHOHFBQUIDAwEJmZmXU+Mp6M4/doHvwezYPfo3nwezSPhvoehRAoLCxEQEBAnW0tFm68vb0hl8v1emmys7P1enNq88gjj2D9+vVGtzs4OMDBwUFnnYeHh0m12qJmzZrxL68Z8Hs0D36P5sHv0Tz4PZpHQ3yPdfXYVLPYgGKFQoGIiAgkJibqrE9MTER0dHS9j3P8+HH4+/ubuzwiIiKyUha9LBUXF4eXX34ZkZGRiIqKwsqVK5GRkYHJkycD0FxSunbtGr7++msAwOLFixEUFITOnTujoqIC69evx+bNm7F582ZLfgwiIiJqQiwabsaMGYPc3FzMmzcPSqUS4eHh2L59O9q0aQMAUCqVOnPeVFRU4J133sG1a9fg5OSEzp0743//+x+efPJJS30Eq+Pg4IA5c+boXaoj0/B7NA9+j+bB79E8+D2aR1P4HiVRn3uqiIiIiKyExR+/QERERGRODDdERERkUxhuiIiIyKYw3BAREZFNYbh5SCxYsAC9evWCm5sbfHx8MGrUKJw7d87SZVm1BQsWQJIkxMbGWroUq3Pt2jWMGzcOXl5ecHZ2Rvfu3XH06FFLl2VVqqqq8P777yM4OBhOTk5o27Yt5s2bB7VabenSmrw9e/ZgxIgRCAgIgCRJ+O6773S2CyHw17/+FQEBAXByckJMTAzOnDljmWKbsNq+x8rKSrz77rvo0qULXFxcEBAQgPHjx+P69euNUhvDzUMiOTkZb7zxBg4ePIjExERUVVVh8ODBKC4utnRpVunIkSNYuXIlunbtaulSrM6tW7fQt29f2NvbY8eOHUhNTcXnn3/OmcNN9Mknn2DFihVYunQpzp49i4ULF+LTTz/Fl19+aenSmrzi4mJ069YNS5cuNbh94cKFWLRoEZYuXYojR47Az88PgwYNQmFhYSNX2rTV9j2WlJTg2LFj+OCDD3Ds2DFs2bIF58+fx8iRIxunOEEPpezsbAFAJCcnW7oUq1NYWChCQ0NFYmKiGDhwoJg2bZqlS7Iq7777rujXr5+ly7B6w4cPF6+++qrOumeffVaMGzfOQhVZJwBi69at2mW1Wi38/PzExx9/rF1XVlYm3N3dxYoVKyxQoXW493s05PDhwwKAuHLlSoPXw56bh1R+fj4AwNPT08KVWJ833ngDw4cPxxNPPGHpUqzStm3bEBkZieeffx4+Pj7o0aMH/vWvf1m6LKvTr18/7N69G+fPnwcAnDx5Evv27eOkpg8oPT0dWVlZGDx4sHadg4MDBg4ciAMHDliwMuuXn58PSZIapZfW4k8Fp8YnhEBcXBz69euH8PBwS5djVTZt2oRjx47hyJEjli7Fal26dAnLly9HXFwc/vKXv+Dw4cOYOnUqHBwcMH78eEuXZzXeffdd5Ofno2PHjpDL5VCpVPjoo4/wwgsvWLo0q1b9MOd7H+Ds6+uLK1euWKIkm1BWVob33nsPL774YqM8lJTh5iH05ptv4tSpU9i3b5+lS7EqmZmZmDZtGnbt2gVHR0dLl2O11Go1IiMjMX/+fABAjx49cObMGSxfvpzhxgQJCQlYv349Nm7ciM6dO+PEiROIjY1FQEAAJkyYYOnyrJ4kSTrLQgi9dVQ/lZWVGDt2LNRqNZYtW9Yo78lw85B56623sG3bNuzZswetWrWydDlW5ejRo8jOzkZERIR2nUqlwp49e7B06VKUl5dDLpdbsELr4O/vj06dOumsCwsL4wNwTTRjxgy89957GDt2LACgS5cuuHLlChYsWMBw8wD8/PwAaHpw/P39teuzs7P1enOobpWVlRg9ejTS09Px888/N0qvDcC7pR4aQgi8+eab2LJlC37++WcEBwdbuiSr8/jjj+P06dM4ceKE9hUZGYmXXnoJJ06cYLCpp759++pNQ3D+/HntA3OpfkpKSiCT6f4TLpfLeSv4AwoODoafnx8SExO16yoqKpCcnIzo6GgLVmZ9qoPNhQsX8NNPP8HLy6vR3ps9Nw+JN954Axs3bsR///tfuLm5aa8ru7u7w8nJycLVWQc3Nze9MUouLi7w8vLi2CUTTJ8+HdHR0Zg/fz5Gjx6Nw4cPY+XKlVi5cqWlS7MqI0aMwEcffYTWrVujc+fOOH78OBYtWoRXX33V0qU1eUVFRUhLS9Mup6en48SJE/D09ETr1q0RGxuL+fPnIzQ0FKGhoZg/fz6cnZ3x4osvWrDqpqe27zEgIAB/+MMfcOzYMfzwww9QqVTa846npycUCkXDFtfg92NRkwDA4Gv16tWWLs2q8Vbw+/P999+L8PBw4eDgIDp27ChWrlxp6ZKsTkFBgZg2bZpo3bq1cHR0FG3bthWzZ88W5eXlli6tyfvll18M/ns4YcIEIYTmdvA5c+YIPz8/4eDgIAYMGCBOnz5t2aKboNq+x/T0dKPnnV9++aXBa5OEEKJh4xMRERFR4+GYGyIiIrIpDDdERERkUxhuiIiIyKYw3BAREZFNYbghIiIim8JwQ0RERDaF4YaIiIhsCsMNERER2RSGGyJqsmJiYhAbG9vg7yNJEr777rsGfx8iahwMN0T00PjrX/+K7t27W7oMImpgDDdERERkUxhuiKhJKC4uxvjx4+Hq6gp/f398/vnnOtsrKiowc+ZMtGzZEi4uLujTpw+SkpK029esWQMPDw989913aN++PRwdHTFo0CBkZmZqt8+dOxcnT56EJEmQJAlr1qzR7p+Tk4NnnnkGzs7OCA0NxbZt2xrjYxNRA2C4IaImYcaMGfjll1+wdetW7Nq1C0lJSTh69Kh2+8SJE7F//35s2rQJp06dwvPPP4+hQ4fiwoUL2jYlJSX46KOPsHbtWuzfvx8FBQUYO3YsAGDMmDF4++230blzZyiVSiiVSowZM0a779y5czF69GicOnUKTz75JF566SXk5eU13hdARObT4M8dJyKqQ2FhoVAoFGLTpk3adbm5ucLJyUlMmzZNpKWlCUmSxLVr13T2e/zxx8WsWbOEEEKsXr1aABAHDx7Ubj979qwAIA4dOiSEEGLOnDmiW7dueu8PQLz//vva5aKiIiFJktixY4c5PyYRNRI7C2crIiJcvHgRFRUViIqK0q7z9PREhw4dAADHjh2DEALt27fX2a+8vBxeXl7aZTs7O0RGRmqXO3bsCA8PD5w9exa9e/eutYauXbtqf3ZxcYGbmxuys7Mf6HMRkWUw3BCRxQkhat2uVqshl8tx9OhRyOVynW2urq46y5Ik6e1vaN297O3t9fZRq9V17kdETQ/H3BCRxYWEhMDe3h4HDx7Urrt16xbOnz8PAOjRowdUKhWys7MREhKi8/Lz89PuU1VVhd9++027fO7cOdy+fRsdO3YEACgUCqhUqkb6VERkKQw3RGRxrq6umDRpEmbMmIHdu3cjJSUFr7zyCmQyzT9R7du3x0svvYTx48djy5YtSE9Px5EjR/DJJ59g+/bt2uPY29vjrbfewqFDh3Ds2DFMnDgRjzzyiPaSVFBQENLT03HixAnk5OSgvLzcIp+XiBoWww0RNQmffvopBgwYgJEjR+KJJ55Av379EBERod2+evVqjB8/Hm+//TY6dOiAkSNH4tChQwgMDNS2cXZ2xrvvvosXX3wRUVFRcHJywqZNm7Tbn3vuOQwdOhSPPvooWrRogW+++aZRPyMRNQ5J1HWxm4jICqxZswaxsbG4ffu2pUshIgtjzw0RERHZFIYbIiIisim8LEVEREQ2hT03REREZFMYboiIiMimMNwQERGRTWG4ISIiIpvCcENEREQ2heGGiIiIbArDDREREdkUhhsiIiKyKf8PV8Zo+t/vDi4AAAAASUVORK5CYII=",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "pl.plot(np.arange(1,maxdepth+1), np.array(list(qaoamc.costval.values()))/mincost,'o--', label='QAOA with E')\n",
+    "pl.plot(np.arange(1,maxdepth+1), np.array(list(qaoamc_cvar.costval.values()))/mincost,'o--', label='QAOA with CVaR')\n",
+    "pl.hlines(1, 1,maxdepth, linestyles=\"solid\", colors=\"black\")\n",
+    "pl.ylim(0.5,1.05)\n",
+    "_=pl.ylabel('appr. ratio')\n",
+    "_=pl.xlabel('depth')\n",
+    "pl.legend()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 77,
+   "id": "868acd1e",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "hist=qaoamc.hist(qaoamc.angles_hist['d'+str(maxdepth)+'_final'], qasm_sim,1024)\n",
+    "hist_cvar=qaoamc_cvar.hist(qaoamc.angles_hist['d'+str(maxdepth)+'_final'], qasm_sim,1024)\n",
+    "bins={}\n",
+    "bins_cvar={}\n",
+    "for key in hist:\n",
+    "    c=-qaoamc.cost(key[::-1])\n",
+    "    bins[c]=bins.get(c,0)\n",
+    "    bins[c]+=hist[key]\n",
+    "for key in hist_cvar:\n",
+    "    c_cvar=-qaoamc_cvar.cost(key[::-1])\n",
+    "    bins_cvar[c_cvar]=bins_cvar.get(c,0)\n",
+    "    bins_cvar[c_cvar]+=hist_cvar[key]\n",
+    "\n",
+    "\n",
+    "bins=dict(sorted(bins.items()))\n",
+    "bins_cvar=dict(sorted(bins_cvar.items()))\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 78,
+   "id": "cfacf13f",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "<matplotlib.legend.Legend at 0x185486a9210>"
+      ]
+     },
+     "execution_count": 78,
+     "metadata": {},
+     "output_type": "execute_result"
+    },
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 2500x1000 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "max_val=max(costs)\n",
+    "\n",
+    "pl.figure(figsize=(25,10))\n",
+    "_=pl.hist(np.sort(costs), bins=50, alpha = 0.5, color= 'b', label='all combinations')\n",
+    "w=np.array(list(bins.values()))\n",
+    "_=pl.hist(bins.keys(),bins=50,weights=w/max(w)*30, alpha = 0.5, color= 'r', label='QAOA with E')\n",
+    "w=np.array(list(bins_cvar.values()))\n",
+    "_=pl.hist(bins_cvar.keys(),bins=50,weights=w/max(w)*30, alpha = 0.5, color= 'g', label='QAOA with CVaR')\n",
+    "min_ylim, max_ylim = pl.ylim()\n",
+    "max_ylim *=1.025\n",
+    "mean=np.mean(costs)\n",
+    "pl.axvline(mean, color='k', linestyle='dashed', linewidth=2)\n",
+    "_=pl.text(mean-1, max_ylim, 'mean = {:.2f}'.format(mean))\n",
+    "_=pl.xticks(np.arange(0, max_val, step=1))\n",
+    "pl.legend()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 67,
+   "id": "a3f77039",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "pl.plot(np.arange(1,maxdepth+1),qaoamc.angles_hist['d'+str(maxdepth)+'_final'][::2],\"x-\",label='gamma')\n",
+    "pl.plot(np.arange(1,maxdepth+1),qaoamc.angles_hist['d'+str(maxdepth)+'_final'][1::2],\"o-\",label='beta')\n",
+    "_=pl.ylabel('parameter')\n",
+    "_=pl.xlabel('depth')\n",
+    "_=pl.legend()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 68,
+   "id": "25b68c56",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "_=pl.plot(np.arange(1,maxdepth+1),qaoamc.num_fval.values(),\"o-\")\n",
+    "_=pl.ylabel('number of function evaluations')\n",
+    "_=pl.xlabel('depth')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 69,
+   "id": "754ded60",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "_=pl.plot(np.arange(1,maxdepth+1),np.array(list(qaoamc.num_shots.values()))/np.array(list(qaoamc.num_fval.values())),\"o-\")\n",
+    "_=pl.ylabel('average number of shots per function evaluation')\n",
+    "_=pl.xlabel('depth')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 70,
+   "id": "2a703720",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[]\n",
+      "[0.04041053]\n",
+      "[0.04041053 0.63260662]\n",
+      "[0.04041053 0.38203139 0.63260662]\n",
+      "[0.04041053 0.23539273 0.38203139 0.63260662]\n",
+      "[0.04041053 0.23539273 0.32950301 0.38203139 0.63260662]\n"
+     ]
+    }
+   ],
+   "source": [
+    "cvar_test = np.array([])\n",
+    "print(cvar_test)\n",
+    "for i in range(5):\n",
+    "    r = np.random.rand()\n",
+    "    idx = np.searchsorted(cvar_test, r)\n",
+    "    cvar_test = np.insert(cvar_test, idx, r)\n",
+    "    print(cvar_test)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 71,
+   "id": "b4d7bcf6",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "array([4.04105293e-02, 2.35392730e+00, 3.29503008e+01, 3.82031394e+02,\n",
+       "       6.32606623e+03])"
+      ]
+     },
+     "execution_count": 71,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "cvar_test * np.array([1.0, 10, 100, 1000, 10000])"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "qcomp",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.11.0"
+  },
+  "vscode": {
+   "interpreter": {
+    "hash": "07d9372282eac67c0084465121a77eae453ab4064aafb19ec3f3b305f02b3aaf"
+   }
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}