All gates.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/jul/envs/latest/lib/python3.7/site-packages/ipykernel_launcher.py:3: DeprecationWarning: The module qiskit.extensions.standard is deprecated as of 0.14.0 and will be removed no earlier than 3 months after the release. You should import the standard gates from qiskit.circuit.library.standard_gates instead.\n",
      "  This is separate from the ipykernel package so we can avoid doing imports until\n"
     ]
    }
   ],
   "source": [
    "from qiskit import QuantumCircuit\n",
    "from qiskit.circuit import Parameter\n",
    "import qiskit.extensions.standard as standard_gates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def show(gate):\n",
    "    circuit = QuantumCircuit(gate.num_qubits)\n",
    "    circuit.append(gate, list(range(gate.num_qubits)))\n",
    "    print(circuit.draw())\n",
    "    return circuit.draw(output='mpl', scale=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "x, y, z = Parameter('x'), Parameter('y'), Parameter('z')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Overview \n",
    "\n",
    "* Standard gates: The basic building blocks for circuits, these should definitely go to the widget\n",
    "* Unitary gate: This allows to set a custom-defined unitary matrix into a gate. This comes up frequently in stackoverflow questions, and might be a cool addition to the widget. \n",
    "    * One idea on how to use this: set the matrix with your entries (warn if not a valid matrix!) and then decompose the block into the actual standard gates on a button click.\n",
    "* Initializers: Similar to the unitary gate, but also allows to set particular states. Would also be a neat feature!\n",
    "* Circuit library: More complex blocks."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Standard gates\n",
    "\n",
    "* Hardware: U1, U2, U3\n",
    "* Paulis: X, Y, Z, I\n",
    "* Cliffords: H, S, Sdg, T, Tdg\n",
    "* Pauli-rotations: Rx, Ry, Rz\n",
    "* Multi Pauli-rotations: Rxx, Ryy, Rzz, Rzx\n",
    "* Swap: Swap, iSwap\n",
    "* Molmer-Sorensen: MS (that can act on an arbitrary number of qubits)\n",
    "\n",
    "In principle, all of these can be controlled. Qiskit offers to generically control any gate on any number of qubits (so that fits with your click-and-add-controls scheme).\n",
    "\n",
    "```python\n",
    "controlled_gate = gate.control(number_of_control_qubits)\n",
    "```\n",
    "\n",
    "Commonly used ones are:\n",
    "* Paulis: CX, CCX, CY, CZ\n",
    "* Hardware: CU1 (CU2, CU3 not so much)\n",
    "* Pauli-rotations: CRX, CRY, CRZ"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌───┐\n",
      "q_0: ┤ I ├\n",
      "     └───┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.046x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.IGate())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌───┐\n",
      "q_0: ┤ X ├\n",
      "     └───┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.046x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.XGate())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌───┐\n",
      "q_0: ┤ Y ├\n",
      "     └───┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.046x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.YGate())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌───┐\n",
      "q_0: ┤ Z ├\n",
      "     └───┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.046x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.ZGate())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌───┐\n",
      "q_0: ┤ H ├\n",
      "     └───┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.046x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.HGate())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌───┐\n",
      "q_0: ┤ S ├\n",
      "     └───┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.046x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.SGate())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌─────┐\n",
      "q_0: ┤ SDG ├\n",
      "     └─────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.046x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.SdgGate())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This should not have a different color than the `S` gate, I don't know why that is."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌───┐\n",
      "q_0: ┤ T ├\n",
      "     └───┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.046x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.TGate())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌─────┐\n",
      "q_0: ┤ TDG ├\n",
      "     └─────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.046x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.TdgGate())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌────────┐\n",
      "q_0: ┤ R(x,y) ├\n",
      "     └────────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 513.354x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.RGate(x, y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌───────┐\n",
      "q_0: ┤ RX(x) ├\n",
      "     └───────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAS4AAACaCAYAAAAXbKWUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAIWklEQVR4nO3de0yV9x3H8c85gBy5eOHSQXGiKLasNXhZtcsW23nBtsa1YYykf9CYue4Sl2VTTHFNJ9FtbJlu7pKS0sUyFnrTLVPQP2YnO3HWlWYCOtmKtaftoAYiTpgXLJdnfzDs2LE2yoFn3+e8Xwn/nN95km8OyTu/85znPMfnOI4jADDE7/YAAHCzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAcwgXAHMIFwBzCBcAc2LdHgDeV51Z5PYIrlp3dq/bI3gOOy4A5hAuAOYQLgDmEC4A5hAuAOYQLgDmEC4A5hAuAOYQLgDmEC4A5hAuAOYQLgDmEC4A5nB3CJi26sWnlHVf/qjHrpzrUe9b76n12YN6p/6YS5NhPBEumJY6P0fO0JBafrJXciRfrF9T52Zp5gNL9Nln89S4tVqtVfVuj4kII1wwK2nmbQqkJKvnzQ4173h51NodjxXoUz/8sj7xpYcIlwdxjgtmpeXPkSSdO/FW2FrH4SZJUiBt6oTOhIlBuGBW6n/C1X3iTNha8uwMSdKF0+0TOhMmBuGCWSM7ru6W0eGKT0nWPd95TJJ08ue/m/C5MP44xwWzUufnSJI+XnCPMj89X74YvxJnpGtmwSclv0/HnqjiU0WPIlwwaUpOpiZNTZQk3f21z41a6790RX98fKc6GprDjnu44cd6L9ii18t/de2x25bcqYIXn1Lj1mq1/frQ+A6OiOCtIkwaOb91+oXDqs4sUnVmkZ7PW6fGrdWKS5ysZU9/U5OmJIQdd+Knv9G8klWKT0mWJE2Zc7uWP/eETlXVEy1DCBdMuvaJ4n+d33r/wkW1VtUrtP9VxU9LUk7RfWHHhfa9qstnz+uur6xVIG2qVtU+qY7Dx9X0gxcmbHaMnWfDdeTIERUXFysjI0OBQEA5OTnavHmzLl26pMrKSvl8PuXl5bk9Jm7RB58ohl8Kcfr5P0iSch75TPiBjqOTP/ut7ly3Witrv61/vduloxsrx3VWRJ7nwuU4jkpLS7Vs2TLt2bNHnZ2dio+PVygU0o4dO7RmzRq1trZKkhYtWuTytLglPp9S756tof4B/bP17bDls0f/qqsXLip9ca4mf2x62Hpo31H5/H5NSkpQw/ofaah/YAKGRiR5Llzl5eXauXOnAoGAKioq1N3drZ6eHnV1damkpETBYFA1NTWSpIULF7o8LW7F1NwsxSVN1oU3/qHBq/1h687AoNoPN8nn9yv7waVh60u/t16+GL/ipyfJGRqaiJERYZ4KV0NDg7Zv367Y2FjV1dWprKxMKSkpkqT09HTt3r1b8+bNU29vryTCZdWNrpgf8e7B1yRJ2WtGhyt/4xeU/dBSHVz7pAYuX1XeFx8cv0Exbjx1OURZWZkcx9GGDRu0cuXKsPXY2FitXr1abW1tkgiXVWf2BHVmT/CGz3nnwJ9VnVk06rHcR5dr/tcf0e8f/a7On3pbJ5/ep/xvFan1lwc0eOX98RwZEeaZHdexY8fU2NiomJgYlZaWfujzMjKGvwqSnZ19bTcG78tavlD3VjyuI9/4hbpe+5sk6XTtK3IGh3RHSYHL0+FmeSZc9fXDdwBYsmSJZsyY8aHP6+npkcRuK5qk5s/R/VUb9Zfv1466kn7war9OVe7XXV9dK/8kT7358DzP/LeOHz8uSVq8ePENn9fS0iKJcEWT7pYzqp1bct21U8/U6dQzdRM8EcbKM+Hq7OyUJE2fHv7x94ju7m4Fg8PnRqxcCuHz+dweYcyey/i82yO4ygv/w0hzHGdMx3vmreLICzESsOupqKhQX1+fJHZcgGWeCVdubq4k6dChQxoYCL+gsL6+Xrt27ZI0fGlEVlbWhM53qxzHMf8X7dx+/f8f/8bKM+EqLCyUJIVCIa1fv17nzp2TNPz2cNu2bSosLFRy8vAXa9ltAbZ5JlzFxcVasWKFJKmmpkbp6emaNm2a0tLSVF5erk2bNik/f/jXYKyc3wJwfZ4Jl9/vV11dnbZs2aJZs2YpLi5OCQkJKioqUjAYVEVFhZqbh+/PxI4LsM3nRMlJiFAopJyc4TtmtrW1XTsnhvH3v1ewR5t1Z/e6PYLneGbH9VGamoZ/9SU5OVlz5851eRoAYxF14VqwYAHX1QDGRU24OL8FeEfUhGtkx0W4APs885Wfj9Lezg+DAl4RNTsuAN5BuACYQ7gAmEO4AJhDuACYQ7gAmEO44FnNfWf1Uu8JDTmOdp7/k7oHL7s9EiKEcMGzFgQy1Tt0VdW9x7UgPlOpMQluj4QIIVzwtPsTZuv1vnYtS5jl9iiIIMIFzxpyHO2/+Hc9nJSnA5fecHscRBDhgme9cvlNLQrcrgcS56mjv1cd/b1uj4QIiZrvKiL6FCR+cLPIDdPvdXESRBo7LgDmEC4A5hAuAOYQLgDmEC4A5hAuAOYQLgDmEC4A5hAuAOb4HMdx3B4CAG4GOy4A5hAuAOYQLgDmEC4A5hAuAOYQLgDmEC4A5hAuAOYQLgDmEC4A5hAuAOYQLgDmEC4A5hAuAOYQLgDmEC4A5hAuAOYQLgDmEC4A5hAuAOYQLgDmEC4A5hAuAOYQLgDmEC4A5hAuAOYQLgDmEC4A5hAuAOYQLgDmEC4A5hAuAOYQLgDmEC4A5vwbGndABld3vlUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 381.046x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.RXGate(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌───────┐\n",
      "q_0: ┤ RY(x) ├\n",
      "     └───────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.046x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.RYGate(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌───────┐\n",
      "q_0: ┤ RZ(x) ├\n",
      "     └───────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.046x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.RZGate(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌───────┐\n",
      "q_0: ┤ U1(x) ├\n",
      "     └───────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.046x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.U1Gate(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌─────────┐\n",
      "q_0: ┤ U2(x,y) ├\n",
      "     └─────────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 513.354x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.U2Gate(x, y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌───────────┐\n",
      "q_0: ┤ U3(x,y,z) ├\n",
      "     └───────────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 513.354x185.231 with 1 Axes>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.U3Gate(x, y, z))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌─────────┐\n",
      "q_0: ┤0        ├\n",
      "     │  RXX(x) │\n",
      "q_1: ┤1        ├\n",
      "     └─────────┘\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 523.938x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.RXXGate(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌─────────┐\n",
      "q_0: ┤0        ├\n",
      "     │  RYY(x) │\n",
      "q_1: ┤1        ├\n",
      "     └─────────┘\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 523.938x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.RYYGate(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "             \n",
      "q_0: ─■──────\n",
      "      │zz(x) \n",
      "q_1: ─■──────\n",
      "             \n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 656.246x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.RZZGate(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌─────────┐\n",
      "q_0: ┤0        ├\n",
      "     │  RZX(x) │\n",
      "q_1: ┤1        ├\n",
      "     └─────────┘\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 523.938x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.RZXGate(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          \n",
      "q_0: ──■──\n",
      "     ┌─┴─┐\n",
      "q_1: ┤ X ├\n",
      "     └───┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 523.938x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.CXGate())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          \n",
      "q_0: ──■──\n",
      "       │  \n",
      "q_1: ──■──\n",
      "     ┌─┴─┐\n",
      "q_2: ┤ X ├\n",
      "     └───┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 523.938x449.846 with 1 Axes>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.CCXGate())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This should have the same color as the `H` gate (blue), don't know why this is violet here."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          \n",
      "q_0: ──■──\n",
      "     ┌─┴─┐\n",
      "q_1: ┤ H ├\n",
      "     └───┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 523.938x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.CHGate())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This should also have the same color as the `Y` gate (green)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "          \n",
      "q_0: ──■──\n",
      "     ┌─┴─┐\n",
      "q_1: ┤ Y ├\n",
      "     └───┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 523.938x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.CYGate())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Should this be green, too? Like the `Z` gate?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "        \n",
      "q_0: ─■─\n",
      "      │ \n",
      "q_1: ─■─\n",
      "        \n"
     ]
    },
    {
     "data": {
      "image/png": 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YIyNJCmNkJElhjIwkKYyRkSSFMTKSpDBGRpIUxshIksIYGUlSGCMjSQpjZCRJYYyMJCmMkZEkhTEykqQwRkaSFMbISJLCGBlJUhgjI0kKY2QkSWGMjCQpjJGRJIUxMpKkMEZGkhTGyEiSwhgZSVIYIyNJCmNkJElhjIwkKYyRkSSFMTKSpDBGRpIUxshIksIYGUlSGCMjSQpjZCRJYYyMJCmMkZEkhTEykqQw/wdrxz35/Y9rUwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 523.938x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.CZGate())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              \n",
      "q_0: ────■────\n",
      "     ┌───┴───┐\n",
      "q_1: ┤ RX(x) ├\n",
      "     └───────┘\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 523.938x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.CRXGate(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              \n",
      "q_0: ────■────\n",
      "     ┌───┴───┐\n",
      "q_1: ┤ RY(x) ├\n",
      "     └───────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 523.938x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.CRYGate(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              \n",
      "q_0: ────■────\n",
      "     ┌───┴───┐\n",
      "q_1: ┤ RZ(x) ├\n",
      "     └───────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 523.938x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.CRZGate(x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "        \n",
      "q_0: ─X─\n",
      "      │ \n",
      "q_1: ─X─\n",
      "        \n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 523.938x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.SwapGate())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌────────┐\n",
      "q_0: ┤0       ├\n",
      "     │  ISWAP │\n",
      "q_1: ┤1       ├\n",
      "     └────────┘\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 656.246x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.iSwapGate())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "        \n",
      "q_0: ─■─\n",
      "      │ \n",
      "q_1: ─X─\n",
      "      │ \n",
      "q_2: ─X─\n",
      "        \n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 523.938x449.846 with 1 Axes>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.CSwapGate())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌────────┐\n",
      "q_0: ┤0       ├\n",
      "     │        │\n",
      "q_1: ┤1       ├\n",
      "     │  MS(x) │\n",
      "q_2: ┤2       ├\n",
      "     │        │\n",
      "q_3: ┤3       ├\n",
      "     └────────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 523.938x582.154 with 1 Axes>"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.MSGate(4, x))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "      ░ \n",
      "q_0: ─░─\n",
      "      ░ \n",
      "q_1: ─░─\n",
      "      ░ \n",
      "q_2: ─░─\n",
      "      ░ \n",
      "q_3: ─░─\n",
      "      ░ \n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 523.938x582.154 with 1 Axes>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(standard_gates.Barrier(4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Generic unitary gate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌──────────┐\n",
      "q_0: ┤0         ├\n",
      "     │  unitary │\n",
      "q_1: ┤1         ├\n",
      "     └──────────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAf0AAAD+CAYAAAAwL9ySAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAATsUlEQVR4nO3df1TVdZ7H8dfFq/xQEAj0AiZKYBl5BBGnHNEoDUvbmWHnYLObo7M2teXktqtsuJ02kEadGZn1bJmzTTkj+8OmrDk7UFO5M0ZukmiKtZQ/5/oDEAhURJDfd/9AON4AJ+XCV/g8H+fcP/h+v/fetyDn6ffX1eZyuVwCAABDnpfVAwAAgIFB9AEAMATRBwDAEEQfAABDEH0AAAxB9AEAMATRBwDAEEQfAABDEH0AAAxB9AEAMATRBwDAEEQfAABDEH0AAAxB9AEAMATRBwDAEEQfAABDEH0AAAxB9AEAMATRBwDAEEQfAABDEH0AAAxB9AEAMATRBwDAEEQfAABDEH0AAAxB9AEAMATRBwDAEEQfAABDEH0AAAxB9AEAMATRBwDAEEQfAABDEH0AAAxB9AEAMATRBwDAEEQfAABDEH0AAAxB9AEAMATRBwDAEEQfAABDEH0AAAxB9AEAMATRBwDAEEQfAABDEH0AAAxB9AEAMATRBwDAEEQfAABDEH0AAAxB9AEAMATRBwDAEEQfAABDEH0AAAxht3oAADeWPc/+SmdLnFaPASg4dqK+kf0Dq8cYUog+ADdnS5yqLPzc6jEA9AMO7wMAYAiiDwCAIYg+AACGIPoAABiC6AMAYAiiDwCAIYg+AACGIPoAABiC6AMAYAiiDwCAIYg+AACGIPoAABiC6AMAYAiiDwCAIYg+AACGIPoAABiC6AMAYAiiDwCAIYg+AACGIPoAABiC6AMAYAiiDwCAIYg++s2uXbuUlpYmh8MhHx8fRUVFKT09XfX19dq8ebNsNpsmT55s9ZgAYAy71QNg6HG5XEpPT1dOTk7XsoCAADmdTm3YsEF79+7VlClTJEnTpk2zakx4iF9YsOLTH1JEcpy8g/x1qeqcTr1bpOKcN9RcW2/1eACuwJ4+PC4zM1M5OTny8fHRunXrVFNTo9raWlVVVWnx4sUqKChQbm6uJCk+Pt7iadEX/pFj9eB7P1XM9+5RdfExff5yvupOVur2Hy7Ugvy18g4aZfWIAK7Anj48aufOncrOzpbdbldeXp7mzp3btS40NFRbtmzRnj17dOTIEUlEf7C7c/0P5RsaqI+feVWHtvy+a3li5hLFPvagpmX8lQqfftnCCQFciT19eFRGRoZcLpeWL1/uFvxOdrtdKSkpXV8T/cHLP3KsIu6OU92pSh361btu6w787Ddqqb+kqO/Olt3X26IJAXwV0YfHFBYWqqioSMOGDdOqVat63c7hcEiSIiMjFRwc3LW8ra1NP/nJTxQdHS1vb2/dcsstev7559Xa2trvs+PaOb55hySpvOCg5HK5rWutb1TV3sMa7uej0IRJVowHoAdEHx6Tn58vSZoxY4bGjRvX63a1tbWSuu/lP/nkk8rIyNCsWbO0adMmJScn69lnn9Vjjz3Wf0Pjuo2+JVySdOH4mR7XX/hTx/KAqLABmwnA1XFOHx6zf/9+SVJCQsJVtzt48KAk9+h/9tln+sUvfqEnnnhCmzZtkiQ98sgjGj16tH7+85/r8ccf1/Tp0/tpclyP4QF+kqTmuoYe13cuHzF65IDNBODq2NOHx1RWVkqSgoKCet2mpqZGBQUFktxv13vttdfkcrn01FNPuW3f+fW2bds8PW6/sNlsg/7R+fMBrFZQUGD578ON+OgLog+PcV0+r9sZ/56sW7dOjY2Nktz39Pft26ebbrpJMTExbtvffPPNCg8P1yeffNIPE6MvWi5c3pP39+txfedy7tUHbhxEHx7TGewdO3b0ePFdfn6+Nm7cKKnj9r2IiIiudeXl5W5fXykiIkJlZWX9MLHnuVyuQf+YM2fO1/qz1h4vlyQF3NLzOfvOc/md5/aBazVnzhzLfx9uxEdfEH14TGpqqiTJ6XRq2bJlqq6ultRxSH/NmjVKTU2Vv7+/pO4X8TU0NMjbu+dbu3x8fHTp0qV+nBzXo+Kj/5Mkhc+ZKn3lkKN9pI/GJN6qloZGffnJESvGA9ADog+PSUtL07333itJys3NVWhoqAIDAxUSEqLMzEytXLlSU6dOldT943f9/PzU1NTU4+s2NjbK19e3f4fHNas7WamyD4rlP36sbvvBfLd18emLNHykr/60/UO1Xur55wpg4HH1PjzGy8tLeXl5ys7O1rZt21RWViY/Pz/NmzdPK1asUFJSkgIDAyV139O/2nn7srKybuf6cWP4OOOXeiDvx7rzx8sUnjRF54+WKjQ+RmGzpqj2WJn2r/8vq0cEcAX29OFRvr6+Wrt2rZxOp5qbm1VeXq433nhDSUlJcjqdvd6jn5CQoJqaGh09etRt+enTp1VeXv5nbwOENepOVipv/tM6+tofFRIfo9jHHpT/BIc+/2W+3l74T2o6d9HqEQFcgT19DJgDBw5Ikvz9/RUdHe22btGiRVq/fr02btzYdZ++pK4L/x566KGBGxTXpKG8Rh/9/UtWjwHgayD6GDCd0Y+Li+t2r+nUqVP16KOP6qWXXlJ9fb2SkpJUWFioV199VUuWLFFiYqIVIwPAkEL0MWCKi4sl9f6f7Lz44ouKjIzUK6+8om3btik8PFxZWVlavXr1QI4JAEMW0ceA6dzT7y36drtdq1evJvIA0E+IPgZMaWmp1SMAgNG4eh8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AeA6zH8zS0vPbLd6DOCaEH0AQ4bjrlgtPbNd89/M6nWbUeNCtfTMdn236KV+e/+4lWkef23AE+xWDwAAg9GuFS/I7jvC6jGAa0L0AeA61JdVWz0CcM2IPgDjxa1MU9yqNL2b+py8g/11x/JvKei28WprbFZ5wafam7VVDRVn3Z4z/80sOWbG6tdh35Ukzdq4XNGLkjteb1XH63V6N/U5VRSWaLi/nyY9PFfj7olXQFS4fEIC1FLXoKp9R/TZC7/Vl58c6Tbb0jPbVbG7RAV/+y+Kf/ohRdwTL98xgdr9D5sVfnecor4zS79P/WdVFn7e7bmRC76h5FfS9cWW32vPM6968luGQYroA8Blty5N0fj7puvU+/tUWfi5QqbFaOK3v6mg2Ej9bu4qtTe39vrcU+8WSZKiFyWrYneJKnaXdK27eLpKkhQYE6FpGd9T5cdfqPQPn6j5fL1GRoTo5pTpGndPvP6wZL3KdhZ3e+0RgaO04O21aqlv1Kl39sjlculSda0O576nqO/M0qSH5/UY/UmL75MkHc59v0/fFwwdRB8ALotIjlPe/Rk6f+hU17LZm/5OUalJGp+SqBN5hb0+99S7e9Vc29AV/eKc17ttc/5omV6Pf1RNZ+vclvuFBWvhO+uVmLVUZTuf6va84NsjdeyNAn3095vkamt3W3fu0ClNeOAbKgoapaZzF7uWjxo/RuFJU1RZdEjnD5/+2t8DDG1cvQ8Al33x6jtuwZekI//5P5KkkPiYPr9+S11Dt+BLUsOZszqR/7ECY8ZpZERIt/VtTS3al7W1W/Al6fDW9zXMZ4Si05Ldlk96eK5sXl468h87+jw3hg729AHgspqDx7stqy+vkSSNGD3SI+8xJvFWTX5kgcYkTJJPyGgN8x7utt7PEdztIsGLp6vUWHOhx9c79sYHSnjmrzXp4bkq+bc8SZLNPkzRaclqOlenE7/b7ZG5MTQQfQBDhst1eU/Yy9b7RpfXudpd3VY11zZ0f83Wto6nDev7gdHx98/Q3b9cqbamFp358FNdOFGh1oYmqd0lx8xYOWbGatiI4d2ed+nL872+Zmt9o46/+aFuW5Iix8xYVewu0fiU6fIbG6SSl/PV1tTS57kxdBB9AENG84WOaHsH+fe6jU9wwOVt6wdkpivF/+NDam9uVf78p1V7tMxt3V1jH5VjZmzPT+z+7xM3h7e+r9uWpOjWxfepYndJ1wV8HNrHV3FOH8CQceF4udoamzU6KkzeQaN63CZ0+iRJ0tmSEx5///b2jiMNtl6OCgRMcOj80dJuwZfNpjEzJl/3+5774qQqi77Q+PtnKCQ+RuFJU1RRWNL9fWA8og9gyGhrapHzvz+S13C7pj/7/W7r/cKCdcfj35IkHXv9A4+/f9O5jov0eroYT5Iuln6pgIlh8h0b5LY8blWagm69uU/vfXjr+xrmPVzJr6ySzcuL2/TQIw7vAxhS9mZt1U1x0Yr53j0KnT5J5QWfquVig0aNC9XNKYka4e+nz174bY/3tffVhWPlqi+v0cRvfVPtLa26WFYtuVw6vr1A9aXVKnk5XzN/+pj+YsfPdPLtj9Xe2qYxibcpcNI4nXpvr8anJF73e5/IK1Ri1lKNDL9JjTW1OvnOHg/+yTBUEH0AQ0rTuYt6+4HVmvzIA4q8f4aiF90tu88INZ2rU2Xh5zq09T2V/fFAv7y3q71df/ybnyrhmYc14cG7NHyUr2xeXqrac0j1pdU68u871N7Uott/uEC3pN2ttsZmVe75Qv/71CZNWHBnn6Lf3tKqP721S7GPLtSx33xw1Q8SgrlsLpfrz1wiAsAkvX2kK25889/M0tg7J+utWStU56ywepw+G3vX7br/rTVWjzGkcE4fAIaAkLhoOWbGquyDg0Mi+OgfHN4HgEHs1u/fJ7+wYEUvSlZ7W5uKf/Ybq0fCDYzoA8AgNuVH35Zf2E2qO1mpXU++oOriY1aPhBsY0QeAQWz7jCesHgGDCOf0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB/9ateuXUpLS5PD4ZCPj4+ioqKUnp6u+vp6bd68WTabTZMnT7Z6TAAwgt3qATA0uVwupaenKycnp2tZQECAnE6nNmzYoL1792rKlCmSpGnTplk1JvoocsGdctx1u4LvmKig2yM1wt9Px9/8ULt+9K9WjwagB+zpo19kZmYqJydHPj4+WrdunWpqalRbW6uqqiotXrxYBQUFys3NlSTFx8dbPC2u19Sn/lKTlz2g4NgJaqg4a/U4AP4M9vThcTt37lR2drbsdrvy8vI0d+7crnWhoaHasmWL9uzZoyNHjkgi+oNZ0XO/Vv2ZGtU5K+S4K1bz38qyeiQAV8GePjwuIyNDLpdLy5cvdwt+J7vdrpSUlK6vif7gVbG7RHXOCqvHAPA1EX14VGFhoYqKijRs2DCtWrWq1+0cDockKTIyUsHBwZKkixcvKjMzUwsXLpTD4ZDNZtPSpUsHYmwAMALRh0fl5+dLkmbMmKFx48b1ul1tba0k97386upqZWVlaf/+/Zo+fXr/DgoABuKcPjxq//79kqSEhISrbnfw4EFJ7tEPCwtTaWmpIiIi1NjYKF9f3/4bFAAMRPThUZWVlZKkoKCgXrepqalRQUGBJPfb9by9vRUREdG/A/Yzm81m9Qh99nTwbN02ItTqMQAVFBTogSHwO+VpLpfrup/L4X14VOdfxs7492TdunVqbGyUxEV8ADCQiD48KiYmRpK0Y8cOtba2dlufn5+vjRs3Suq4fW+w79l/lcvlGvSPOXPmWP1tBCRJc+bMsfz34UZ89AXRh0elpqZKkpxOp5YtW6bq6mpJHYf016xZo9TUVPn7+0tiLx8ABhrRh0elpaXp3nvvlSTl5uYqNDRUgYGBCgkJUWZmplauXKmpU6dK4uN3AWCgcSEfPMrLy0t5eXnKzs7Wtm3bVFZWJj8/P82bN08rVqxQUlKSAgMDJbGnPxSMn5+o8fNnSJJ8x3T8XEMTJmnWxuWSpMazddq3Jtey+QC4I/rwOF9fX61du1Zr167tts7pdPZ4jz4Gp+DYiYpelOy2LGCCQwETOj586eLpKqIP3ECIPgbUgQMHJEn+/v6Kjo62eBr0VXHO6yrOed3qMQB8TUQfA6oz+nFxcT3e0/7iiy/q/PnzXVf+f/rpp3r++eclSbNnz9bs2bMHblgAGGKIPgZUcXGxpN4P7W/YsEEnT57s+vrAgQNd/1B47rnniD4A9AHRx4DqDHhv0T9x4sQATgMAZiH6GFClpaVWjwAAxuI+fQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADEH0AQAwBNEHAMAQRB8AAEMQfQAADGG3egAAN5bg2IlWjwBI4u9if7C5XC6X1UMAAID+x+F9AAAMQfQBADAE0QcAwBBEHwAAQxB9AAAMQfQBADAE0QcAwBBEHwAAQxB9AAAMQfQBADAE0QcAwBBEHwAAQxB9AAAMQfQBADAE0QcAwBBEHwAAQxB9AAAMQfQBADAE0QcAwBBEHwAAQxB9AAAMQfQBADAE0QcAwBBEHwAAQxB9AAAMQfQBADAE0QcAwBBEHwAAQxB9AAAMQfQBADAE0QcAwBBEHwAAQxB9AAAM8f+ObqxEgkFzKQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 656.246x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import scipy\n",
    "import numpy\n",
    "from qiskit.extensions import UnitaryGate\n",
    "\n",
    "A = numpy.array([[2, 1, 1, 1], [1, 2, 1, 1], [1, 1, 2, 1], [1, 1, 1, 2]])\n",
    "U = scipy.linalg.expm(1j * A)\n",
    "show(UnitaryGate(U))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Initializers\n",
    "\n",
    "* Isometry / Initialize (we have both but they do the same, and Isometry is more powerful)\n",
    "* Diagonal gate\n",
    "* UCRX, UCRY, UCRZ (uniformly-controlled)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "import qiskit.extensions.quantum_initializer as initializer_gates"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This is very useful because users can just specify a state they want to have and we are decomposing it into gates. And also this is obviously broken in the matplotlib drawer!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌───────────┐\n",
      "q_0: ┤0          ├\n",
      "     │           │\n",
      "q_1: ┤1          ├\n",
      "     │  ISOMETRY │\n",
      "q_2: ┤2          ├\n",
      "     │           │\n",
      "q_3: ┤3          ├\n",
      "     └───────────┘\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 3699.32x2566.77 with 1 Axes>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "state = numpy.random.random(2 ** 4) \n",
    "state /= numpy.linalg.norm(state)\n",
    "show(initializer_gates.Isometry(state, 0, 0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌─────────────────────┐\n",
      "q_0: ┤0                    ├\n",
      "     │  DIAGONAL(1,1,-1,1) │\n",
      "q_1: ┤1                    ├\n",
      "     └─────────────────────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 656.246x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(initializer_gates.DiagonalGate([1,1,-1,1]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You're providing a list `[angle_0, angle_1, ...]` and the gate applies `angle_i` if the qubits are in state `i`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌────────────────┐\n",
      "q_0: ┤0               ├\n",
      "     │  UCRX(0.2,0.1) │\n",
      "q_1: ┤1               ├\n",
      "     └────────────────┘\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 656.246x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(initializer_gates.UCRXGate([0.2, 0.1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌────────────────┐\n",
      "q_0: ┤0               ├\n",
      "     │  UCRY(0.2,0.1) │\n",
      "q_1: ┤1               ├\n",
      "     └────────────────┘\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 656.246x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(initializer_gates.UCRYGate([0.2, 0.1]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "     ┌────────────────┐\n",
      "q_0: ┤0               ├\n",
      "     │  UCRZ(0.2,0.1) │\n",
      "q_1: ┤1               ├\n",
      "     └────────────────┘\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 656.246x317.538 with 1 Axes>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "show(initializer_gates.UCRZGate([0.2, 0.1]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Upcoming: `HamiltionianGate` which takes a matrix `H` and a time `t` and does `exp(i H t)`. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Circuit library\n",
    "\n",
    "They are all rendering as block."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1201.59x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import QFT  # e.g. for the Quantum Fourier Transform\n",
    "QFT(4).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 434.644x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import OR\n",
    "OR(4).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 533.372x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import LinearPauliRotations\n",
    "LinearPauliRotations(4, offset=2, slope=0.5).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 550.228x565.88 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import PiecewiseLinearPauliRotations\n",
    "PiecewiseLinearPauliRotations(4, breakpoints=[0, 2], offsets=[2, 1], slopes=[0.5, -0.5]).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1141.39x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import QuantumVolume\n",
    "QuantumVolume(4).decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1683.19x866.88 with 1 Axes>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "QuantumVolume(4).decompose().decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1020.99x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import EfficientSU2\n",
    "EfficientSU2(3, entanglement='linear').draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1748.21x1167.88 with 1 Axes>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import WeightedAdder\n",
    "WeightedAdder(3, [1,2,1]).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 604.408x385.28 with 1 Axes>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import IntegerComparator\n",
    "IntegerComparator(3, 4).draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 719.992x445.48 with 1 Axes>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import MCXVChain\n",
    "circuit = QuantumCircuit(7)\n",
    "circuit.mcx([0, 1, 2, 3], 4, ancilla_qubits=[5, 6], mode='v-chain')\n",
    "circuit.decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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SJCn9RDJa//76iWwrSZKUDP52AuTl5VFQUEBRURG9e/emf//+LFq0iMWLFwMcNxS84447WLNmDU8//XRca4nFYi1vJKWRCx4J/nTfTSz7nDz2WlJr1dbDpMfh/Zrmt8uMwrsrX6R7ZnLqkiRJHcv48eMBKCkpaXGbE+FKQSAajbJw4ULy8/OZMWMGU6dOJTc3l1mzZpGRkUFBQUGj7e+66y7++Mc/8thjj9G1a9cUVS1JkqRU6hSFqwc3v00EmNgfA0FJkpR2XCl40PDhw1myZEmjsSlTpjBy5Ei6dOlyeOyOO+5g8eLFPPHEE/Tq1SvZZUqSJCmNTBkCz7wLa3YduePwIRHg9C4w65xUVCZJktQ8Vwo2Y9myZY1OHV65ciW3334727ZtY/z48Zx33nmcd955KaxQkiRJqZSTCf9zCXxyEGQ1+M06IwKX9Yf5H4bc7NTVJ0mS1BRXCjahqqqKsrIyZs6ceXgsPz/fa0xJkiSpkZxM+NoouPkc+Mhjwdjij0Mfw0BJkpTGDAWbkJOTQ11dXarLkCRJUjvRI+vI3w0EJUlSuvP0YUmSJEmSJClkDAUlSZIkSZKkkDEUlCRJkiRJkkLGUFCSJEmSJEkKGUNBSZIkSZIkKWQMBSVJkiRJkqSQMRSUJEmSJEmSQsZQUJIkSZIkSQoZQ0FJkiRJkiQpZAwFJUmSJEmSpJAxFJQkSZIkSZJCxlBQkiRJkiRJChlDQUmSJEmSJClkDAUlSZIkSZKkkDEUlCRJkiRJkkLGUFCSJEmSJEkKGUNBSZIkSZIkKWQMBSVJkiRJkqSQMRSUJEmSJEmSQsZQUJIkSZIkSQoZQ0FJkiRJkiQpZAwFJUmSJEmSpJAxFJQkSZIkSZJCxlBQkiRJkiRJChlDQUmSJEmSJClkDAUlSZIkSZKkkDEUlCRJkiRJkkLGUFCSJEmSJEkKGUNBSZIkSZIkKWQMBSVJkiRJkqSQMRSUJEmSJEmSQsZQUJIkSZIkSQoZQ0FJkiRJkiQpZAwFG6ivr2fevHkMGzaM7OxsRo0aRWlpKSNGjGD69OmpLk+SJEmSJJ2E96rhJ2/BN1+De1fC8u0Qi6W6Kik1OqW6gHQybdo0iouLmTNnDoWFhSxdupTJkydTWVnJ7NmzU12eJEmSJElqg/oY/OAN+NkaqAeikSAM/PlaOK83fPuDcErnVFcpJZeh4EELFixg/vz5lJSUMG7cOAAmTJjAyy+/THFxMaNHj05xhZIkSZIkqS0efBN+uubI5/UNVge+th1mPQ/zPwxZGcmvTUoVTx8+qKioiIkTJx4OBA8ZOnQomZmZFBQUAPDJT36SgoICzj//fC688EKefPLJVJQrSZIkSZJaYWdN40DwaDGgbBc8vTlpJUlpwZWCQEVFBStWrODWW2895rHy8nLy8/Pp3DlYRzx//nx69eoFwCuvvML48ePZvn07GRm+nSBJkiRJUrp54h04UN/8NlHgkXKYOCApJUlpwVCQIBQE6Nu3b6Px6upqSktLmTRp0uGxQ4EgwM6dO4lEIsTieFXSSCQSt7mkZCj8fbD/u+8mln1OHnst6WT4HCJJ6affjXdwxvVfb3abeqD0lTeIXDIyOUVJbRDv3y88fRjIzc0FoKysrNH43Llz2bx5M4WFhY3GZ82aRV5eHtdccw2/+c1v6NTJbFWSJEmSpHRUt3t7i9vE6uuo3bU1CdVI6cM0C8jLy6OgoICioiJ69+5N//79WbRoEYsXLwY4JhT8wQ9+AEBpaSm33norzzzzDDk5OXGpJZ6rDqVkuOCR4E/33cSyz8ljryWdDJ9DJCn9vFcNVzwRrAZsSiSawTcnf5hrv+Lzt9LP+PHjASgpKWlxmxPhSkEgGo2ycOFC8vPzmTFjBlOnTiU3N5dZs2aRkZFx+CYjRxs3bhzRaJTnnnsuyRVLkiRJkqTWOK0LXDWw6cejwGnZMMnrCSpkXCl40PDhw1myZEmjsSlTpjBy5Ei6dOkCQFVVFdu2bWPQoEFAcKORtWvXcs455yS9XkmSJEmS1DpfPhd2H4CnNgchYMNVg6d1gR9cDN1MSBQy7vLNWLZsGWPGjDn8+Z49e7j++uupqqqiU6dOZGdn8/Of/5yBA5t5y0GSJEmSJKVUVgbcfQGseB9+Vw6/Lw/G7xoNH+kXPC6FjaFgE6qqqigrK2PmzJmHx04//XReeOGFFFYlSZIkSZLaIhKBc3sHH4dCwYmeMqwQMxRsQk5ODnV1dakuQ5IkSZIkSYo7bzQiSZIkSZIkhYyhoCRJkiRJkhQyhoKSJEmSJElSyBgKSpIkSZIkSSFjKChJkiRJkiSFjKGgJEmSJEmSFDKGgpIkSZIkSVLIGApKkiRJkiRJIWMoKEmSJEmSJIWMoaAkSZIkSZIUMoaCkiRJkiRJUsgYCkqSJEmSJEkhYygoSZIkSZIkhYyhoCRJkiRJkhQyhoKSJEmSJElSyBgKSpIkSZIkSSFjKChJkiRJkiSFjKGgJEmSJEmSFDKGgpIkSZIkSVLIGApKkiRJkiRJIWMoKEmSJEmSJIWMoaAkSZIkSZIUMoaCkiRJkiRJUsh0SnUBav8ueCQ133fZVan5vpIkSZLU0czvd21Kvu/nNi9KyfdNJXudPPa6ea4UlCRJkiRJkkLGUFCSJEmSJEkKGU8fliRJkiQphXbVQNkuqDoA0Qj07wqDu0NGJNWVdTzb98Nbu458vrEKzuwW9F3xE4tB5T5Yuxv21UFWFAbnwBldIWKv04ahoCRJkiRJSbZjPzzyNvy+PAimjpadAWNPg+sGwwW5Bikn471q+O1GeLQC3tnb+LFrnoZunWBc36DXHzjFXp+Mij3wmw3w2KYgFDxazyz4WD+4djAM65ns6nQ0Q0FJkiRJkpIkFoPijXDfSthb1/R2++rg6c3BxwW58PXzglVWar3aevj5WnjgTThQ3/R2e2phcUXwMaEv3FYAfbKTV2dHsL8OHnwTfrYGmmk1O2vgNxuDj6sGwux8yMlMWpk6itcUlCRJkiQpCfbVwb+/BN96vflA8GjLtsL1S+C5LYmrraPZfQBmPg/ff6P5QPBoS96F60tg+faEldbhVO6Dzz0LP20hEDzaI+VwQwms352oytQSQ0FJkiRJkhKsth6+/BKUvNu2r6+ug397EV54L751JULOgFP50L2zUvb9q2vh5hfg5W1t+/odNUGguGpHfOvqiN7fD19Y2vg6jSfi3Wq46TkoP84p9Okm1ft1IhgKSpIkSZKUYPPfgqUtBHrLrgo+mlIbg/98ObhZhpp23ypY8X7z27TU6+o6+MqyIGDU8cVi8M3Xjn9NzIZa6vX2mmC/rj2RZYaKC0PBBurr65k3bx7Dhg0jOzubUaNGUVpayogRI5g+fXqqy5MkSZIktUNrd8H/lsVnrh018O3l8ZkrES66658Yd/+t9J9wHhN/cwd9CvKS+v3/thUWbYjPXJv2wg9Xx2eujujJd9q+8vVoq3bAw2vjM1cipHq/ThRvNNLAtGnTKC4uZs6cORQWFrJ06VImT55MZWUls2fPTnV5HcafLoP7Vwd32WqoZBLc/kr8nlQkSZIkKR08vC5Y5RcvT74Ds/bAgG7xm7MlAyddyIe/d3PwSSRCZtdsaqv3E6sPlneV/3kZz866j7/+54/JGXAq533pU/zllh8kr8CDfromvvP9ZgN8fjj0yIrvvK3V2r4nWywGP3krvnM+vBZuHAKZSVy+1l7260QxFDxowYIFzJ8/n5KSEsaNGwfAhAkTePnllykuLmb06NEprrBjODU7+Cjb2Xi8f9fgjkNveM0GSZIkSR1I1QH4c0V854wBv90IN4+M77zNKf/Tizw8dAoAfUYN4crH/otFF85k39adLXxl8ryzF56P8zUXa+rh0QqYnKKFYena95U7oKyN1xFsyvYaKNkMH+8f33mbk679TRZPHz6oqKiIiRMnHg4EDxk6dCiZmZkUFBQ0Gn/wwQeJRCIsWrQomWW2eyN7BdcJWHvU3YWG94St+2DLvtTUJUmSJEmJsOJ92J+Aa6Ut2xr/OVsrd9QQ9mzamnbByctbg8A03lLZ64bSqe+J6on7dXIZCgIVFRWsWLGC66677pjHysvLyc/Pp3PnzofH3nrrLX7yk58wZsyYZJbZIeT3gvI9wbstDQ3r4SpBSZIkSR3P6gTlC2/tSt2NGfoU5LFt+brUfPNmJKrXq9PkWDWd+p6oXr+RwjwunfqbLJ4+TBAKAvTt27fReHV1NaWlpUyaNOnwWG1tLf/0T//Ej370I2655Za41xKJROI+Z6IV/r7178WM7AVndoMnL2883qVTcDeuE9Eee9URHfr3998jsexz8thrSSfD5xBJRxvwz/dy+pX/2misuTuxNvf4BY8c+XtNPWT3yqVu97aTrDDwk77XtHrb3FFD2PDoC00+Xrf/ADvXbGrVXPF8vjzr339F7w99qtFYPHr9btUBIpH4XVTwRHrdUEt9b0k8ez286Bm653+40Vhbet2wzwCvvlVOZNygk6zuiI6wXydyXlcKArm5uQCUlTW+HdTcuXPZvHkzhYWFh8fuvPNOJk2axHnnnZfUGjuKc3rBg2/CjaWNP/bXBXcbkiRJkqSOJJFvEkSiyT+kz+icSa8RZ7LttaZvFVtduYPl3/9dEqsKJKzXkdRHJ63pezJ1tF6n836dSK4UBPLy8igoKKCoqIjevXvTv39/Fi1axOLFiwEOh4J//etfefrppykpKUlYLbFYIq6AkFhHJ/tNGdANemYFF359b1/j8R5ZJx4KtsdedUSH/v3990gs+5w89lrSyfA5RNLRflwGP1zdeKypY6hDK6lac4yVGYW929+L251a5/e7tlXbnTJyMNHMTmx9PT6nWcbz+XLucvj1+sZj8ej1ad0y4lpna3vdUDz6Hs+f4csvwdObG4/Fo9ejhgzg9RT0Op33a4Dx48cDNJtHHdrmRKQ+7k4D0WiUhQsXkp+fz4wZM5g6dSq5ubnMmjWLjIyMwzcZWbJkCWvXrmXIkCEMHjyYF154gZkzZ/Kd73wnxT9B+5DfC6prg2tfNDTqFHh3L7xfk5q6JEmSJClRzumVmHmH9SBugeCJyB01hKqKSvZvi/OtZ+Pg7J7ta94TkW59T1ivE/T/pSXp1t9kcaXgQcOHD2fJkiWNxqZMmcLIkSPp0qULALfddhu33Xbb4cfHjx/PF7/4Ra699sRT/jAa2StYDVh3VGB+bm9YFZ6b+0iSJEkKkQ+cAlnRY2+2eLJG94nvfK3VpyCPrWlyCuvREtWTwhT1uqF063thboLmdb9OKkPBZixbtsw7DMfRf688/vjdrye3DkmSJElKlu6ZcFl/+OPb8Z33H+J3L4YT8tzsH6bmG7fCgG5w0anw18r4zZkVhSvOjN98bZVufS84BYZ0h7W74zdnryyY0C9+852IdOtvsnj6cBOqqqooKytj9OjRTW5TUlLiKkFJkiRJUrP+MQ+icbwvw4R+MCgnfvN1JJ8dGt/5/n4g9Ooc3zk7gkgk/r2enAedM+I7p5pnKNiEnJwc6urquPnmm1NdiiRJkiSpHRvWE6YOi89c3TPhP86Nz1wd0YWnBkFePPTtArPOic9cHdGkAXDJafGZa3gP+EycQ0a1zNOHJUmSJElKsH8eDq9vh5e2Nr1NS3dnjUbgG+dDbnZ8a+tobs2HN3ZAWTP3jGip19kZUFQIOZnxra0jiURgznkw7S+waW/T27XU656Z8M3C1Nw4J+xsuSRJkiRJCZYZhXsuhItPbdvXZ0Vh7gXw4b7xrasjysmEH14M+W28k21OJ7jvIijoHd+6OqLcbHhgbNtPZ+/TGX40Fs7qHt+61DqGgpIkSZIkJUGXTnDfGJidD51P4Gi84BT4xXgYn6KbMLRHvTrD/34IPj8cMk7geo5jT4NfTUjc3XU7or5d4eeXwg1nndjXXd4/6PXwnompSy3z9GFJkiRJkpIkGoEbh8DH+8PvNsLvy+Hd6mO36xQJro/3qbPg4tNOLNhSIDMKN50Nf3cmFG+ER9+GbfuP3S4rCh8+Ha47Cwr7BKfF6sR06QRfOheuHgyLNsBjFbDrwHG2y4CPngHXDoYPnJLkInUMQ0FJkiRJkpLs1Gz4/IjgY+s+eHMn/E0I1+QAACAASURBVOtfg8d+dikM6Q5Z3ok1LgZ0g38ZCTefA1uq4a1dsKcWOkVhULfg1NVOnkcZF3nd4cvnwr9/ILjO4Jpd8KWXgscWToCBOQbc6cRQUJIkSZKkFMrNbnzzkHPaeC08NS8SCU517ds11ZV0fJFIEMYO6HZkzOsGph+zcEmSJEmSJClkDAUlSZIkSZKkkPH0YZ20ZVelugJJkiRJ0sn43OZFqS4hNOx18tjr5rlSUJIkSZIkSQoZQ0FJkiRJkiQpZAwFJUmSJEmSpJAxFJQkSZIkSZJCxlBQkiRJkiRJChlDQUmSJEmSJClkDAUlSZIkSZKkkDEUlCRJkiRJkkLGUFCSJEmSJEkKGUNBSZIkSZIkKWQMBSVJkiRJkqSQMRSUJEmSJEmSQsZQUJIkSZIkSQoZQ0FJkiRJkiQpZAwFJUmSJEmSpJDplOoC1P4tf6hzSr7vuZ/Zn5Lv2xL7kTz2OnnsdfLY68bshyRJkpQYrhSUJEmSJEmSQsZQUJIkSZIkSQoZTx+WdEK2VMMTm2DlDli3+8j4l1+Ckb3gY2fAgG6pq68jKa+CpzbDqh1Hxq5fAkN6BL2+7Aw4rUvq6utI3toJJe827vWNJTC0B3zglKDXvVJzFqskSZIkJYShoJJixNVvsuWV29mxfkGrxpV+KvbAfaugdDPUH+fxpzcHH99/A8aeBv8yMghUdOLKdsJ3V8ELlcc+tnZ38PH4pmCbCX2DXvc3iG2TV7cF++yr2499rGxX8LG4Au5dCZf3h1nnQG528utU83yNkSRJkk6coaCUYmdd9jhdTx1DrP4AxOqoqVrPe69/i13lv0t1aYctWg/3roJ9da3bful78GIl3HQ2fG4oRCKJra+10r3X9TH48VvwP29CXax12z+1Oej3rflw9eCEl9hq6d7r2vogVF2wDlrRamrq4Q9vQ+m78NVRwYrYdJHuvZYkSZKUnrymoJQG3nu9iFUL+rDqV/3Ysf7XDLz0YbK6D0t1WQD8aDXcvbz1geAhtTH4wRtw9+sQa03qkiTp2uv6GBS9Bvevbl0g2FB1HRS9Dg++mZja2ipde11bD/+xDH7RykCwoV0H4LZlsGhDIipru3TttSRJkqT0ZSgopZNYHdvfvJ9ItBPZp+Snuhp+txH+r+zk5vjNRpi/Jj71xFWa9frHZfC78pOb48E34Q8nOUdCpFmv560IVvydjP96HZ7bEp964irNei1JkiQpfRkKKi1k5eSRd/mT5F3+FHkTn6ZLn9GpLiklItFMeo/4AvV1Nex7f3lKa3lnL9yzouXtll0VfDTngdXBjRzSSTr1+s2d8D8thK+t6TMEgde71fGpK17SqdcvvNfyKr/W9DoG3PUa7KqJV2XxkU69Tie+xkiSJEnH8pqCDdTX13PPPffwwAMP8PbbbzNixAi++93vMn36dMaNG8eDDz6Y6hLbrVh9LZFo5jHjkWgmsdgB6g7sYGPJp6jbv53OPc+m/5gfsO7PH01Bpalx2rm3cWr+rcTqati/ey3lpTdQs3ttSmv60Ruw9wRPGW5KbSy4Scn3L47PfCcjHXt978oTP2W4KXtqg1OQbz8/PvOdjHTrdSwG96yM33yV++ChNfDFkfGbs63SrdfJ5mtM0/bWwmMVwY2LamMwtDtcPQj6dk11ZVLbbdsHvy8P7hgfAc7rA1eeCT2yUl2ZJEnti6FgA9OmTaO4uJg5c+ZQWFjI0qVLmTx5MpWVlcyePTvV5bVrNVUbyeo+pNFYtFM3OmX3pWb3eur2H7n1Z6yuhlgsTmlUO/He8rupXH53qss4bPt+eHJzfOd8oRLKq2BgTnznPVHp1uv1u+GlrfGd8/FNcEs+9ErxwVG69fpv22Dd7vjO+btymD4CsjLiO++JSrdeJ5uvMcf36ja49UXYfeDIqSHPvAs/eSu4k/bnvOyk2qFHyoNr8NbGjuzXS96FH74B3yyE8f1SWp4kSe2Kpw8ftGDBAubPn88jjzzCl770JSZMmMDXvvY1Lr74Ympraxk92lONTsaOtQ/Re/g0up52CUSiRLN60e+D32HfjhVUb3/1yIaRKP0uvIfKFfNSV6wofRcO1Md/3ifeif+c7d2TCehJTf3JXzOvI3piU/zn3FET/1BXJ87XmGOVV8HNL8CeA8Hn9Qc/IDj9/ftvBNeNldqTv2yBb7waBILQeL+uOXgTqeXbm/pqSZJ0NFcKHlRUVMTEiRMZN25co/GhQ4eSmZlJQUEBAOPHj2fjxo307NkTgIkTJ3L33eFdndFaO9b/kkinrpxx0X1kdRtIfW0Ve7Y8y8anr4YGKzYGjH2Q3RWLqXrn8RRWq1U7EjPv6gTN254lstd/PzAxc7dXbyToupZv7IRLTk/M3GodX2OOtWBdcNf45q5M8D9vwpUDISOStLKkk/Lgm8GKhuO9bxkjuEzE/DXwnQuTXJgkSe2UoSBQUVHBihUruPXWW495rLy8nPz8fDp37nx47Nvf/jbXXnttQmqJRNrfb+av/7R15yi+/9aPef+tHzf5+BkX3kvNrrVsL2vdtRvTtVet7Ue8xbMfw4ueoXv+hxuNtXTjheM9fsEjjT9f/NIbzLsofhdg6wi9zr//LbL7DW001lyvm3rs6F7/3yNPc9uo+F0zrSP0+rxfVZGR3e3w523Zp+HYXn/zgYf5/D2fPsnqjugIvY4nX2Pa5rwFO8no2qPZbbbsg14fuJSqVc8mqapwKPx9EMW2930o3WT1zePcB5q/Vmo9UPJOHRldT6G+Os7Xi5CSxOcQdUTu1/ET7x4aChKEggB9+/ZtNF5dXU1paSmTJk1KRVmh0u30Szll2DT2Vj7PWf0mULf/fcpLr091WUmx/vHLUl3CMaJZ2Qmat0tC5m2ttOx1pr1OFnsdXqF7jYlmtBgIHtKpR26Ci5Hio7X7aiSaQaecU6gxFJQkqUWGgkBubvBLRllZGZ/4xCcOj8+dO5fNmzdTWFjYaPuvfe1r3HHHHeTl5XHnnXcePrU4HmKxON2CNImWP9S55Y1asGfLM6x8uPsJfU269ioe/WiLePZj+nPw8rbGY0evjjrk0Gqqph5v6Owhg1kexzo7Qq+vfgrK9zQeO14vT6TPABM+dDGr7XUjlz7a+I7a8dinAW689mru/Ja9ThRfY9pm/GKoqm15u5JHixnVO/H1hMmh5472vg+lm3f2wlVPtrxdNALb39lIN49y1E75HKKOyP365I0fPx6AkpKSFrc5Eb5cAnl5eRQUFFBUVETv3r3p378/ixYtYvHixQCNQsGHHnqIM888k0gkwi9/+Usuv/xy1qxZQ7du3ZqaXmp38rofGwrGa141ltf92FAwXvOqsbwesOL9xMwrpZsrB8Iv1zV9TcEIcEZXOPeUZFYltd0ZXeG83vD69uNfUxCC6w1+tB8GgpIktZJ3Hwai0SgLFy4kPz+fGTNmMHXqVHJzc5k1axYZGRmNVgIOHDjw8DncN9xwA1lZWbz55pupKl1KiJG9EjPvOQmatz2z18mTsF73TMy80sm4MS8IRpr6RS8GzDg7WFUltRc3jQj+PN5uGwE6ReFzw5JZkSRJ7Zuh4EHDhw9nyZIl7Nmzh/Lycu68806WL1/OyJEj6dIluF7Uvn372Lp16+Gveeqpp9i9ezdDhw5talqpXRrfFzrH+dkhAlzeP75zdgSX9T/+wc3JyM4I/g3V2MQE7H+5neECL8mmNNSvK9w/Fnof5+zrThG47VyYOCD5dUkn44OnQtEF0Dnj2MdyMuHei2CEb9RIktRqLq5vxrJlyxgzZszhz3ft2sWkSZOoqakhGo3So0cPHnnkEXr08NwxdSw9soKDxd+Xx2/OD50eHKSqsQHdYOxp8Nx78Ztz0oDg4EiNnXtKcLD45s74zfkPg4KVKVI6OrsX/PHjUPIu3LYsGPvXkXDlmdArNZeulE7ax86AMafCnyrgv5YHY18/L3iTLfs4YaEkSWqahzJNqKqqoqysjNGjRx8eO+200/jb3/7G8uXLee2113j22Wf50Ic+lMIq24e5D9fy2W8e4O6ft+KK5yG2ZXuM/3r4SI9+9lgdn73rQMrq+cLZ0D1OwVJWFG7Jj89ciZDq3t+SH/QoHnpkHjm9Kh2kurcNRSLw7x+I38rMM7rClDRdKJ5OfU80X2Oa1ykahCiHTBlqIKj2LycTrjvryOdXDTQQlCSpLQwFm5CTk0NdXR0333xzqktp11ZtqGfvfvjp1zI5UAsr1jV1aWi9sLKei/OD/5I1B2KsLk/tnZlOzYb/OLfl7S54pOW7tP7LSBiUE5+6EiHVvT+rO8w8p/ltWtNngK8UQG52fOqKh1T39mjn9YFPD2l+m9b0OhoJVqZ0TdP19unW90TxNUaSJElquzQ9nFFH8fraGBfnB+tyxuRHeW1NjA/kHbvdS2/Uc8t3axkxMMKmyhgjBkb47i0d9/zH4/28PbtF+MqU4CC++Jl6rvpQlB8W16W0zokDoHIf3Leq7XN8Zihcf1bL2yVDU/vZstWxlPf+H/Ng6z74+dq2z3FrPnw8hddtbC/79RdHwtb9walnbRGNwB3np8e1BNN5n04GX2MkSZKktnOloBJq917o1iU4YOveNfj8eApHRDg3L8KPv5JJ4YgoX/tMx86rj/fzVu+HrtkRDtTGWPZGjItGpsd/zylD4a7RJ34qcXZGsNLw5nOC0zbTwfH6HovF0qL3kUhwra9/P/fEb/LSIxO+WQj/2MIKuERrL/t1xsFQ76YRwd9PxKnZcN9FwXUb00E679PJ4GuMJEmS1Hb+VqyE6t4F9lQHp61VVQcHbcdTUQn9Tw0O7LZsj3F67zRJkRLk6J/3/d0xhg8MPv/j0no+cXF6HcBPHACFufDDN+DPm6CmmTP0OkXgI2fAzLODm2ikwtYdMb78o8bXF8vtGeGL12Qcs5+t3lifNr2PRIJVlWNPhR+uhqc3Q10zZ31mRYNwasbZ6XHKcHvar6MR+PwIuLQv3L8a/rIFmjvBtlun4JpVnx8e3Ign2drrPp1ovsZIkiRJbWcoqIQqGBph0ZJ6Lr8ouMbV338oSm1djJ1V0KfnkYOytZtiDO0foa4+RqTjHr8edvTP+/zKI6fAbdgc483yen69pI41m2L84ok6bvx46q+efWo2/L/zg5tiLNkMq3bA2t2wry5Y2XZWdzinF4zvm/qAKrdXsCLoaEterj9mP0vH3p+ZA9+6IDiduGQzrNoJG3bD/nrokgFDusPIU2BC39QEVE1pj/v1iJ7w3xfBpj3wzBZ4YweU74ED9UEQOKwH5PeC8f1Se/3A9r5PJ4qvMZIkSVLbGQoqoUYOjpKVWc9nv3mAswdGOHdIlPItMX78aB23/9OR3W/NphijhkaoOQDbd0Hljhin9uq4KzmO/nn/urKez04M+nHr9Uf68tm7DqTdAXzPLPjkoOCjvTnefrZqfYzPTgxSgnTrfW42XJsm12Nsjfa8X/fvBpOPcy26dNfe9ul48zVGkiRJajtDQSXcbZ9uvJu9WR5j0pjGSzU+f+WRA9Xib3b8i78f/fP++a91RKPHHqD+9D87fi+S6Xj72ccuiNj7OHG/Tj73aV9jJEmSpLYyFFTSffyDnrt1tMsv6lird9oTe5849jY1wt53X2MkSZKk1jEU1Ek79zP7U11CWrEfyWOvk8deJ4+9bsx+SJIkSYnh2+mSJEmSJElSyBgKSpIkSZIkSSFjKChJkiRJkiSFjKGgJEmSJEmSFDKGgpIkSZIkSVLIGApKkiRJkiRJIWMoKEmSJEmSJIWMoaAkSZIkSZIUMoaCkiRJkiRJUsgYCkqSJEmSJEkhYygoSZIkSZIkhYyhoCRJkiRJkhQyhoKSJEmSJElSyBgKSpIkSZIkSSFjKChJkiRJkiSFTKdUF6D2b/lDnVPyfc/9zP6UfN+W2A9JkhpLxWtjWF8X7XXy2OvG7IekdDS/37Up+b6f27woJd/3RLlSUJIkSZIkSQoZQ0FJkiRJkiQpZAwFJUmSOqjt++G5LUc+f2ITlFdBfSx1NXVUlfug9N0jnz/9DryzF2L2Oq5iMdi8N+jvIaXvwnvV9lqSpBPlNQWVFCOufpMtr9zOjvULWjUuSZLaZl8t/GkTLNoAb+5s/NhX/hb82aczXDUQrhkMfbsku8KOo+oA/OFt+M0G2FDV+LEvLwv+7NsFrh4EnxwEvVNz2eEO4f398NuNwcfm6saP/duLwZ+DcuCaQcG+nZOZ/BrVPI8HJCn9GApKKXbWZY/T9dQxxOoPQKyOmqr1vPf6t9hV/rtUlyZJamf+thW+8Sps2tv8dtv2w0/egl+shVnnwA15EI0kp8bWaA+vjaXvQtFrQS+b8241/HA1PLQGvvQB+LszIWKvWy0Wg0ffhu+shN0Hmt92YxXcsxLmr4GvFsD4fsmpsbXSvdeSpPDx9GEpDbz3ehGrFvRh1a/6sWP9rxl46cNkdR+W6rIkSe3Iz9fCTUtbDgQb2l8fhCizX4R9dYmrrS3S9bUxFoPvrgpWp7UUCDZUVQu3vwp3vAq19Ymrry3Stde19UHIffurLQeCDW3fD196Ce5bmX6nFKdrryVJ4WQoKKWTWB3b37yfSLQT2afkp7oaSVI78av1cO/Ktn/9X7bAf7yUfmEVkHavjYdW/bXVH9+Gb76WfmEVkFa9jsWCPv3h7bbP8bO1wb9XWkqjXkuSwstQUGkhKyePvMufJO/yp8ib+DRd+oxOdUkpEYlm0nvEF6ivq2Hf+8tTXY4kqR0o2wn3rGh+m2VXBR/Nee49eHht/OqKl3R6bfxrZXDadXNa0+s/vA1/qohfXfGSTr1+bFPLgWBrev2Tt4J/t3STTr1OFx4PSFLyGQo2UF9fz7x58xg2bBjZ2dmMGjWK0tJSRowYwfTp01NdXrsWq68lEj32is+RaCax2AHqDuxgY8mnWPfnj7Lp+Zn0u+DbKagydU479zZG3rCFs69ZR48zr6S89AZqdqfhkZkkKa3EYsHplXVxWnX2wJtQsSc+c52sdHttrKmDu16N33zzVsCOmvjNdzLSrdc7auDbcczJ7nwV9qfJ6fHp1utk8nigZe81uIlOWq7cltpgY4MbcaXlKvmQ80YjDUybNo3i4mLmzJlDYWEhS5cuZfLkyVRWVjJ79uxUl9eu1VRtJKv7kEZj0U7d6JTdl5rd66nbv/3weKyuhlgsTX5zS5L3lt9N5fK7U12GJKmdWbYVVu9sebvWqqkPTkX+tw/Eb862SrfXxqc2H3vX25Ox6wA8Ug6fGRq/Odsq3Xr9h/KgP/HybjU89Q584sz4zdlW6dbrZPJ4oGnrdsP3VgWXcjjk756AyXnBc0Q63QhKaq0X3oMfrYaVO46MfWoJ/PMIuLx/6upqzsBJF/Lh790cfBKJkNk1m9rq/cTqg5S+/M/LeHbWfSmsMP4MBQ9asGAB8+fPp6SkhHHjxgEwYcIEXn75ZYqLixk92uXrJ2PH2ofo98F57H7ncfZWPk80swf9Cu9m344VVG9v8LZ7JEq/C++hcsW81BUrSVI7Ubwx/nP+8W34l5GQ6fkkjfw2Ab0u3pAeoWC6SUivN6ZHKBhmHg8c31s7YdpzsK8WGi6i2rYfvv8GrN8Nt5+fXnctl1ry1Dtw2zI4erfdUAVf+1twQ6jJeSkprVnlf3qRh4dOAaDPqCFc+dh/sejCmezbGsd3YNOMoeBBRUVFTJw48XAgeMjQoUPJzMykoKAAgJqaGm677Tb+8Ic/kJ2dzSmnnMIzzzyTipLblR3rf0mkU1fOuOg+sroNpL62ij1bnmXj01dDg3cBB4x9kN0Vi6l65/EUVitJUvvwyrb4z7n7AKzdBWf3iv/c7dWBelj+fvznrdgLW/dBbnb8526vtu6D8gScwr7i/eAU8KyM+M+t1vF44Pi+8WoQCDZ1tvCjFfCRM2Bc36SWJbXZ3lq445Xg70fv14eC73tWwPi+0K9rMis7MbmjhrBn09YOHQiCoSAAFRUVrFixgltvvfWYx8rLy8nPz6dz584AfPWrX2X37t2sXr2ajIwMNm/enOxy26333/ox77/14yYfP+PCe6nZtZbtZQ8msSpJktqnrftg6/7EzP3GTkPBhtbuDoLBRHhjB3zYg/3D4nk6fEO1seDf8Rz365TyeKCxVTuC59vmRIFF6w0F1X48VgF7Wzj7P0awgnvWOUkpqU36FOSxbfm6VJeRcIaCBKEgQN++jZ9pq6urKS0tZdKkSQDs3buXBx54gLfffpuMjOBtxn79+sW1lkg7XBf++k+zTnqObqdfyinDprG38nnO6jeBuv3vU156fbNfk669OtF+rH/8srh833TthyQpMboMOpeR33290VhLd2Jt6vELHmn8+cwvfZWrF33rJKprLBWvjfF8Xexx/mUMu/3Pjcbi1et/+PRUtj01v+3FHaW997rPRz7L4H+d32gsXr0e85GJ7Hrlz8ffuA3ae6/j7WSPCTrS8UBr5V4+nUEzH2h2m3rg2XXbiIzNTU5R0kkaOON+cj8+jUhG03FTrL6ee3/1OF+8Y1LC6/lJ32va9HW5o4aw4dEX2vx9E/X8FO95DQWB3NzgCbasrIxPfOITh8fnzp3L5s2bKSwsBGDNmjX07NmTe+65h8cee4xoNMrs2bP51Kc+lZK6O5I9W55h5cPdU12GJEntRowE3sLP2wM2EktkP+x1IwntdSL/z+ikhfF4IFbfupuptHY7KR3E6utacRHMGKTxfp3ROZNeI85kW9HDqS4l4QwFgby8PAoKCigqKqJ3797079+fRYsWsXjxYoDDoWBtbS2bNm2iX79+vPjii2zYsIGxY8cybNgwzj///LjUkthfhBJj+UOdU/J907VX9kOSlAw7a+CjjzUeO3pl1CGHVlI19fjR/ue/v8UVcVwpmIrXxni+Lq7bHdwxsaF49fqPC+Yz5rT5ba7taO291y9WwsznG4/Fq9d/K/kzQ3u0vbajtfdex5v9OHHlVXD1081vEwX+buRpvNbOf1aFx5MHbzLSnEg0g69/5u+Y8o3E79fz+117wl9zysjBRDM7sfX1tp8+3F6en7yvHBCNRlm4cCH5+fnMmDGDqVOnkpuby6xZs8jIyDh8k5GBAwcC8NnPfhaAwYMHc8kll/Diiy+mrHZJkhROPbOgf4Iu0D3S6641MigHuiToBhVe466xs3smZt7sDDgrXIvQ1A4MzIExpx57h9aG6oFPDU5SQVIcjO8LfTo3HTZFgM5RuHJgMqs6MbmjhlBVUfn/2bv3ODnL+m78n9nN5gCBhGSBxEAIISSQwAYTxYDYBLWS+HiqQBVb5NRiAW2F2pYW8dGiaUX0sf5aT0+raGujEvNYqnhCk2iNqBEFgsBCOIRggBBIICHksDu/P4YkbM4Jc9q93+/Xa15kr7n2ni/XzM4992eu+76yYdXTjS6l5oSCzxs/fnzmz5+fdevWZdmyZbnmmmtyxx13ZOLEiRk0aFCSymnGM2fOzLe//e0kyapVq/KLX/wikydPbmTpAEBBnXxo9bd56MBKCMY2raXkZTW4nNeEIZVwl20O7p8cX4NgcOrwyvMIzeZ/vzQZOWjH9i0H6pccl5w0vK4lwYvSryW57uXJgNYdA++WJC2l5CNTk6FNvP8b3jE2T9y2tNFl1IVQcDcWL1689dThLT772c/mc5/7XE488cRMnz49V155ZaZNm9agCgGAIjvzqOpv861HCU925swx1d/m2TXYZl9Qk7E+uvrbhGo4dGDypd9LzhuXHNS2rf2k4cnHT04uGt+42mB/nTgs+ffpldmAbc+nTq2l5NUjky+clsyo7nqtVffTKz6dBX9yXaPLqAvXFNyFtWvXprOzM5deemmP9qOOOio333xzg6rqna79yubc+WA5xx9VypV/7CUHANVy3NDk1MOSRY9XZ3sHt9UmkOkLTjmscmrr3Wuqs72Rg5KZo6qzrb5m5qjkC/cmv3u2OtubMKTy/NFYjgl27ZAByXsmVmYFPr2pMsPqQENELzdmcPKBk5IrT0ye2ZQc2Fa5lAPNxUzBXRg8eHC6urrynve8p9Gl9Gq/fbA7z25IvnRVWzZtTpbc393okprWY0+W89GvbN76879/tyvnfXhTAysCoDf4u8nVO3j8qxOTYY1ZL2uPGr2fbC0lH3xp0q9Ksyg/cFIysEkO+hs9ttsb2K8yPtXQr5R88KTmnf3abGNfK44J9k6/lsp7sECQvqR/azJ8oECwWXm7oaZuX1rOKZMqn8KmTWrJbfeVc8LYHfv98q7uvPdTmzNhdCmPrCxnwuhSPvXeth079mG33NmdUyZVcvqNm8q5e1nvWK0IgMYaMSj58JTkL3+ZdO9i17E3q7OePaa5Z641w35y3MHJ305OrvnNrvvszVj/2XHJy2twPcj91Qxju72XtSeXHpd8+u7d9NmLsb6yIzm2RouXVEMzjn0tOCYAaE5mClJTzzybHDio8gHgoAMqP+/M1AmlnDi2lC/8bVumTmjJVe/s23n1L+/qzisv2ZgL/2FTzrhiY/78k5uy+O5yXnZcZazm/bg7bzrNnycAe+dVI5KPvXz/V8j9o7GVWYKlJphNtbN9ZJKm2U++eXRlFlvbfoxVKcm7j0/+pIHXCOtNn0EuHJ+85/j9O2DpV0quPil5Sw2uu7k/mv11XWuOCQCaU9/c69A0DhqUrFtf+cZz7frKh4CdWb4yGXVo5YPCY0+Wc/iwJjgqqaGdfeBZvyE5YGApmzaXs/iucl4x0Z8nAHtv+ojkqzP2bZXcwwYmn5qWXH5CZTXAZrCzfWS5XG6q/eSbRlcuoL4vq+QeNTj5t9OS84+tXV17o7d9Bjnv2ORfT9u3FbGPH5L8x/RKgNssesPrupYcEwA0J1+9UFMd40qZO787Z7yicnrEm09ryeauctasTYYP2baTX/pIOeNGldLVXU6pb34W6mH7DzxPPVPO+NGVn7+1qDuvP6UAgwBAvjACWgAAIABJREFU1Y06MPnMKcltTyY3PJjcsjJZs7Fnn/4tyQmHJG8ZnbzmJZUL2jfCE6vL+evPbO7R1j6klHef2bpDKHD3Q91Nt58cd3BlxdBfrEzmPpgsfiJZ2/N/J4Nak5OGJW8dk7zq8Mr1whqtN34G6RiWfG1G8pPHknkPJr95Mlnf1bPPgf0qgfhZY5JXHNq4kLu3v65rxTEBQHMSClJTE8e0pH9bd877yKYcN7qUE49pybLHyvnCt7vywQu3vfzue6ScyeNK2bgpefLpZOXqcg4d2ne/Gdz+A8/P7tx2nZUHV5Rzz7LufH1+V+57pJz//EFX3vH7rsoKwN4plZKThldu5XLy6PrKraucDO1fWQ2wGcKp9qGVWVPbm39r9w6hQLPuJ1tKybTDKrfucvLIumTlhsq4DxuQjB7cfAtc9NbPIP1aktNHVm5d5eThtcmqDZXX+6EDKoF4M8x27Quv61pwTADQnISC1NyVf9zzZXbPsnJmTet5NPKnb9z2oWfeR/r+xYS3/8Dz8zu7c97Myjhd/rZt43Xehzf1qQ+EANRXqZSMPKBy6y12Fgr89oFyzptZ+ezQrPvJllJy5ODKrZn1hc8graVkzEGVW2/RW1/X1eSYAKD5lMrlct9c4oq6uePLAxryuCe+c0NDHndP9mc8vvfzrpzxihf34a9ZxwMAXuxnhf3ZTxZ1v7ivY+0zyP7zuu6pEccEzTweQHO4fuRZDXnc81fMbcjj7qsmOHkEeLEfxgGgL7OfrB1j2zjGHoBGM1MQAAAAAArGTEEAAAAAKBihIAAAAAAUjFAQAAAAAApGKAgAAAAABSMUBAAAAICCEQoCAAAAQMEIBQEAAACgYISCAAAAAFAwQkEAAAAAKBihIAAAAAAUjFAQAAAAAApGKAgAAAAABSMUBAAAAICCEQoCAAAAQMEIBQEAAACgYISCAAAAAFAwQkEAAAAAKBihIAAAAAAUjFAQAAAAAApGKAgAAAAABSMUBAAAAICCEQoCAAAAQMEIBQEAAACgYISCAAAAAFAwQkEAAAAAKBihIAAAAAAUjFAQAAAAAApGKAgAAAAABSMUBAAAAICCEQoCAAAAQMEIBQEAAACgYISCAAAAAFAwQkEAAAAAKBihIAAAAAAUjFAQAAAAAApGKAgAAAAABSMUBAAAAICCEQoCAAAAQMEIBQEAAACgYISCAAAAAFAwQkEAAAAAKBihIAAAAAAUjFAQAAAAAApGKAgAAAAABSMUBAAAAICCEQoCAAAAQMEIBQEAAACgYISCAAAAAFAwQkEAAAAAKBihIAAAAAAUjFAQAAAAAApGKAgAAAAABSMUBAAAAICCEQoCAAAAQMEIBQEAAACgYISCAAAAAFAwQkEAAAAAKBihIAAAAAAUjFAQAAAAAApGKAgAAAAABSMUBAAAAICCEQoCAAAAQMEIBQEAAACgYISCAAAAAFAwQkEAAAAAKBihIAAAAAAUjFAQAAAAAApGKAgAAAAABSMUBAAAAICCEQq+QHd3d6677roce+yxGThwYCZPnpyFCxdmwoQJufjiixtdHgAAAH3U3WuS7z+SLHw0Wbup0dUARdCv0QU0k4suuijz5s3L1VdfnalTp2bRokU555xzsnLlylxxxRWNLg8AAIA+5jerkuuWVELBLQa0JG8dk7zn+KR/a8NKA/q4UrlcLje6iGYwZ86cvOMd78iCBQsyffr0re1nnnlm5s2bl1/84hd5+ctf3sAKAQAA6Et+vSq5ZFHSXU66d3L/qYclnzg56eccP6AGvLU8b/bs2Zk5c2aPQDBJxo0bl7a2tnR0dCRJHnzwwUyfPj3jx4/PiSeemJ/85CeNKBcAAIBerFxOPnLbrgPBJFn0ePLDFXUtCygQoWCS5cuXZ8mSJTn77LN3uG/ZsmWZNGlSBgwYkCR517velbe97W3p7OzM5z73ubz97W/Pxo0b610yAAAAvdhtTyYPrt11IJhUDtjnPlCvioCicU3BVELBJBkxYkSP9vXr12fhwoWZNWtWkuSJJ57I//zP/+TGG29Mkpx66ql5yUtekvnz5+eMM86oSi2lUqkq2wEAAKB5tZ9xcY669HO77dOd5JcPPZnSq4bXpyig19uXqwSaKZikvb09SdLZ2dmj/dprr82KFSsyderUJJVZg4cffvjWWYNJcvTRR+ehhx6qX7EAAAD0euXNe3fG2d72A9hXZgomGTt2bDo6OjJ79uwMGzYso0aNyty5c3PTTTclydZQsB62XNNwwYIFu+wzY8aMPfYBAACgeT26PnnjD5LdzekpJTlr8ojcZn1QoAbMFEzS0tKSG264IZMmTcoll1ySCy64IO3t7bnsssvS2tq6dZGR0aNH57HHHsuGDRu2/u4DDzyQo446qlGlAwAA0AuNGJS8ZmQl+Nuds4+uSzlAAQkFnzd+/PjMnz8/69aty7Jly3LNNdfkjjvuyMSJEzNo0KAkldOMX/nKV+bf/u3fkiSLFi3KI488ktNPP72RpQMAANAL/d3k5NiDK/9+YTjY8vzPV01OjhvSgMKAQnD68G4sXrw406ZN69H22c9+Nueff34++clPpn///pkzZ0769+/foAoBAADorQ7un/zback3l1VWGX5oXaX990cl54xNTjiksfUBfZtQcBfWrl2bzs7OXHrppT3ax44dmx//+McNqgoAAIC+ZFC/SgB4ztjkZTdW2j5Sv8vaAwUmFNyFwYMHp6urq9FlAAAAAEDVuaYgAAAAABSMUBAAAAAACkYoCAAAAAAFIxQEAAAAgIIRCgIAAABAwQgFAQAAAKBghIIAAAAAUDBCQQAAAAAoGKEgAAAAABSMUBAAAAAACkYoCAAAAAAFIxQEAAAAgIIRCgIAAABAwQgFAQAAAKBghIIAAAAAUDBCQQAAAAAoGKEgAAAAABSMUBAAAAAACkYoCAAAAAAFIxQEAAAAgIIRCgIAAABAwQgFAQAAAKBghIIAAAAAUDBCQQAAAAAoGKEgAAAAABSMUBAAAAAACkYoCAAAAAAFIxQEAAAAgIIRCgIAAABAwQgFAQAAAKBghIIAAAAAUDBCQQAAAAAoGKEgAAAAABSMUPAFuru7c9111+XYY4/NwIEDM3ny5CxcuDATJkzIxRdf3OjyAAAA6qK7nPz40eQ9tyRnfC95ww+Sj9yW3Pd0oyuD/behK7lxWXLBT5LXfS/5gx8mn74reWx9oyuDxujX6AKayUUXXZR58+bl6quvztSpU7No0aKcc845WblyZa644opGlwcAAFBzm7uTD9yafP93lVkk3c+3f/Ohyu2qyclbjmpkhbDv1mxMLvtZcveaba/rJzckX7g3mXN/8k/TkinDG10l1JdQ8Hlz5szJ9ddfnwULFmT69OlJktNPPz233npr5s2blylTpjS4QgAAgNr7185KIJhsCwSTpPz8fz9yWzJmcHKSAIVe5AO3Jvesqfy7e7v7NnQlf3FL8s3XJMMH1r00aBinDz9v9uzZmTlz5tZAcItx48alra0tHR0dSZIPfOADGT9+fFpaWjJ37txGlAoAAFATz3UlX71/931Kqcysgt7igWeSnz6+LdjeXneS9V3JjQ/XsypoPDMFkyxfvjxLlizJ5ZdfvsN9y5Yty6RJkzJgwIAkycyZM3P++efnwgsvrEktCxcuTJKUSqU99t2bPgAAAHvroMmvzfi//8Fu+3QnufnhTSmd3L8+RRXI1P+qxFaO9arr8Lf+dY4476O77VPu7s61Ny7Ohe97RZ2qgtool3cVf+9IKJhKKJgkI0aM6NG+fv36LFy4MLNmzdraduqpp9a1NgAAgHppGXjgXvUr9WtLWvslXZtrXBG8eHvzui61tKRl4OA6VAPNQyiYpL29PUnS2dmZ17/+9Vvbr7322qxYsSJTp06tWy1bTl9esGDBLvvMmDFjj30AAAD21dKnk7ct2HO/wwYm5c2bal5P0bzsxsp/92WmD3v27YeT//3r3fdpSTLr5RNzp7GnQISCScaOHZuOjo7Mnj07w4YNy6hRozJ37tzcdNNNSVLXUBAAAKBRjjk4OWFo8tvVOy7G8EJnjqlXRfDivWZk8rE7krW7mdjaneQPrKpNwVhoJElLS0tuuOGGTJo0KZdcckkuuOCCtLe357LLLktra+vWRUYAAAD6uitOSFpKOz9YLCUZfWDyh0fXuyrYfwP7Je+dtPs+px2enHJYfeqBZmGm4PPGjx+f+fPn92g799xzM3HixAwaNKhBVQEAANRXx7Dk06cm1/wmeXhdz/umHZp88KXJQW2NqQ3211uOSlpLyT/9Nlm9cVt7ayl50+jkr54Pw6FIzBTcjcWLF+9w6vDVV1+dI444Ij/72c/yrne9K0cccUSWLl3aoAoBAACqb8rwZN6rk8++YJ3Fb7w6+f9OSYYPbFxd8GK8cXTyndclH3v5trbvvC65anLSv7VxdUGjCAV3Ye3atens7MyUKVN6tF9zzTVZvnx5NmzYkFWrVmX58uU55phjGlQlAABAbZRKycvat/18lIVZ6QPaWpLTR277ediAxtUCjeb04V0YPHhwurq6Gl0GAAAAAFSdmYIAAAAAUDBCQQAAAAAoGKEgAAAAABSMUBAAAAAACkYoCAAAAAAFIxQEAAAAgIIRCgIAAABAwQgFAQAAAKBghIIAAAAAUDBCQQAAAAAoGKEgAAAAABSMUBAAAAAACkYoCAAAAAAFIxQEAAAAgIIRCgIAAABAwQgFAQAAAKBghIIAAAAAUDBCQQAAAAAoGKEgAAAAABSMUBAAAAAACkYoCAAAAAAFIxQEAAAAgIIRCgIAAABAwQgFAQAAAKBghIIAAAAAUDBCQQAAAAAoGKEgAAAAABSMUBAAAAAACkYoCAAAAAAFIxQEAAAAgIIRCgIAAABAwQgFAQAAAKBghIIv0N3dneuuuy7HHntsBg4cmMmTJ2fhwoWZMGFCLr744kaXBwA00ObuZOGjyVeWJv/voeSJ5xpdEQAA7L9+jS6gmVx00UWZN29err766kydOjWLFi3KOeeck5UrV+aKK65odHkAQIN8d3nyiSXJkxu3tbWUktcfkVx5YjLQJyoAAHoZH2GfN2fOnFx//fVZsGBBpk+fniQ5/fTTc+utt2bevHmZMmVKgysEABrhu8uT99+alLZr7y4n33o4eXR98s/Tkn7OvwAAoBfx8fV5s2fPzsyZM7cGgluMGzcubW1t6ejoyFNPPZU3vOENGT9+fCZPnpzXve51ue+++xpUMQBQa5u6k+uWVALB8i76LH6icloxAAD0JkLBJMuXL8+SJUty9tln73DfsmXLMmnSpAwYMCClUinvfe9709nZmdtuuy1veMMbcsEFFzSgYgCgHn78aLJ6464DwaTyYWreQ/WqCAAAqsPpw6mEgkkyYsSIHu3r16/PwoULM2vWrCTJ0KFD89rXvnbr/aeeemquvfbaqtaycOHCJEmptP1JSjvamz4AwP47/My/yRHv/Mfd9ulO8uM7H0zp1KPrUxRAnU39r8pXI44/as9Y14+xpq8ql3f3dXZPZgomaW9vT5J0dnb2aL/22muzYsWKTJ06dae/98lPfjJvectbal4fANAY3c+t22Ofcrm8V/0AAKCZmCmYZOzYseno6Mjs2bMzbNiwjBo1KnPnzs1NN92UJDsNBT/0oQ/lvvvuy49+9KOq1rLlmoYLFizYZZ8ZM2bssQ8A8OL97tnkzTfv/vThUqmUd792Ui7Zh29lAXqTl91Y+e++zD5h/xjr+jHWYKZgkqSlpSU33HBDJk2alEsuuSQXXHBB2tvbc9lll6W1tTUdHR09+n/4wx/Ot771rXz3u9/NAQcc0KCqAYBae8kByatH7rjy8BYtSQa0JH9wVD2rAgCAF89MweeNHz8+8+fP79F27rnnZuLEiRk0aNDWtg996EO56aab8oMf/CBDhw6td5kAQJ1dfVLy+HPJHU9VQsDuF9zX1pJ8/ORkxKBd/TYAADQnoeBuLF68ONOmTdv685133pkPfvCDOeaYY7aewpskv/nNbxpQHQBQD4Pbks+dmtz8u+QbDyW3PVlpP39ccuaYZKSTBgAA6IWEgruwdu3adHZ25tJLL93aNmnSJNcbAIAC6t+avP7Iym3LNYjePbGxNQEAwIshFNyFwYMHp6urq9FlAAAAAEDVWWgEAAAAAApGKAgAAAAABSMUBAAAAICCEQoCAAAAQMEIBQEAAACgYISCAAAAAFAwQkEAAAAAKBihIAAAAAAUjFAQAAAAAApGKAgAAAAABSMUBAAAAICCEQoCAAAAQMEIBQEAAACgYISCAAAAAFAwQkEAAAAAKBihIAAAAAAUjFAQAAAAAApGKAgAAAAABSMUBAAAAICCEQoCAAAAQMEIBQEAAACgYISCAAAAAFAwQkEAAAAAKJh+jS4AaA7Xjzyr7o95/oq5dX9MAAAAwExBAAAAACgcoSAAAAAAFIxQEAAAAAAKRigIAAAAAAUjFAQAAACAghEKAgAAAEDBCAUBAAAAoGCEggAAAABQMEJB9qhcbnQFxVAuG+t6MdYAAAAUXb9GF9BMuru784lPfCKf+9zn8vDDD2fChAn51Kc+lYsvvjjTp0/P5z//+UaXWDe3rkrmLE1++niyqTs5+qDk7DHJm0YnA1obXV3f8j+PJV+7P1n8RNKdZPzByR8encw6IunXhLH96Fkn51X/33sqP5RKaTtgYDav35Byd3eSZNn3Fucnl/1TAyvcuXI5ufl3ydceSO54qtLWcUjytrHJa0YmpVJj6wMAAIB6Egq+wEUXXZR58+bl6quvztSpU7No0aKcc845WblyZa644opGl1c3/7k0+cSdlWmk3c+3PfBM8tE7ku8sT/75lOQAr5wXrVxO/vmu5Ev39Rzre9YkH/pN8qMVycde3nzB4LLv/CJfGXdukmT45GPyxu9+NHNPvjTPPbGmwZXtWnc5+fvfJN96uOdY3/Zk8usnK2H3+ycnLYJBAAAACqLJ4obGmTNnTq6//vrceOONed/73pfTTz89V111VU455ZRs3rw5U6ZMaXSJdfHrVZVAMNkWnCTJljMtb38q+fiSelfVN/1wRSUQTHqO9ZZ//+Sx5P921ruqfdM++Zise+SJpg4Ek+TrD1QCwWTnY33jsuQbD9a5KAAAAGggoeDzZs+enZkzZ2b69Ok92seNG5e2trZ0dHQkSd7ylreko6MjL33pS3PyySfn5ptvbkS5NfO1+/f8ovj2w8nqDXUpp0/7z6V7HusbHkg2dNWlnP0yvGNsVt1xf6PL2K3ucmWsdzcJsJTkP+93nUEAAACKw0mgSZYvX54lS5bk8ssv3+G+ZcuWZdKkSRkwYECS5Prrr8/QoUOTJL/+9a8zY8aMPPnkk2ltrc6F9hYuXJgkKe3FBc72ps++Oulrz6R14ODd9tlcTo5+9VlZvegbVX/8omgZeGBe+rW1e+z39KZk+AmvzLq7F9W8pi+OOHOff6d98jF58Nu37Pdj1uI1vL0BI8flhM/eu9s+5SQPr0sGjjg6Gx9/sOY1Ab3b1P+qfINQj/cwgGbgfa9+jHX9GGv6qvI+zHYxUzCVUDBJRowY0aN9/fr1WbhwYY9Th7cEgkmyZs2alEqlfRrwZldqbatqP3ZuX8av1K85x7p1QFuGTjgyq25b2uhSdqvUr//e923b+74AAADQm5kpmKS9vT1J0tnZmde//vVb26+99tqsWLEiU6dO7dH/sssuy3e+852sWbMm3/jGN9KvX/WGccvpywsWLNhlnxkzZuyxz/46Z0Gy9Ome113bmVv+e07GD5lT9ccviu5yMuv7yao9nIbdkuT+Xy7IoQNrX9P1I8/ap/6HTByTlrZ+eeL2/T99uB6B+rObk9//brJhDy/qQa3J6gfvyUDvisAevOzGyn/70peCALvjfa9+jHX9GGsQCiZJxo4dm46OjsyePTvDhg3LqFGjMnfu3Nx0001JskMo+C//8i9JKqf6Xn755fnxj3+cwYN3f8ptb3H2mGT27bu+vyXJxKHJ+CH1qqhvaiklZ45JPn/PbvokmT4idQkE90f75GOydvnKbFj1dKNL2a0D+iX/68jk/z20bcGc7ZWSvOHICAQBAAAoDKcPJ2lpackNN9yQSZMm5ZJLLskFF1yQ9vb2XHbZZWltbd26yMj2pk+fnpaWlvz0pz+tc8W184YjkynDd35fS5K2luRvdj4c7KN3jE2OOWjnC2C0JDmoLfnzifWuau8N7xibJ5r81OEtLp5QCVd3NtalJIcPSv5kfL2rAgAAgMYxL+Z548ePz/z583u0nXvuuZk4cWIGDRqUJFm7dm1WrVqVo446KklloZGlS5fm+OOPr3u9tdK/NfnUK5L/c2fy3w8nG19wyuUJhyR/dWJy/NBd/z57b3Bb8vlXJtfdkXz/d0nXC6axTW1PruxIjmziCag/veLTjS5hr7UPTK5/VfKPtyc/eWzbjMFSKrMx/6YjGd6kMzIBAACgFoSCu7F48eJMmzZt68/r1q3L2972tqxduzb9+vXLwIED8x//8R8ZPXp0A6usvoH9kr+dnFx2fPLq71bavjojGXdwQ8vqk4b0T66Zmrx3UnLG9ytt816djG7iMLC3OmxQ8olXJCueTd54c6Xtv1+bjDigsXUBAABAIwgFd2Ht2rXp7OzMpZdeurXt8MMPzy233NLAqurr4BcsxCoQrK0XzlITCNbWyBeEgAJBAAAAikoouAuDBw9OV1dXo8sAAAAAgKqz0AgAAAAAFIxQEAAAAAAKRigIAAAAAAUjFAQAAACAghEKAgAAAEDBCAUBAAAAoGCEggAAAABQMP0aXQDQHM5fMbfRJQAAAAB1YqYgAAAAABSMUBAAAAAACkYoCAAAAAAFIxQEAAAAgIIRCgIAAABAwQgFAQAAAKBghIIAAAAAUDBCQQAAAAAoGKEgAAAAABSMUBAAAAAACkYoCAAAAAAFIxQEAAAAgIIRCgIAAABAwQgFAQAAAKBghIIAAAAAUDD9Gl0A7M71I8+q+2Oev2Ju3R+zGbzsxvo/5uI31f8xAQAAADMFAQAAAKBwhIIAAAAAUDBOH2YHK59Lfr4yuWv1trarb00mDEkmH5KccEhSKjWuPgAAAABeHKEgW92zJvm3zmTho0lXued931leuSXJ2IOSd4xN3jQ6aREOAgAAAPQ6QkGyubsSBn7h3h3DwJ25/5nkw7clNy1P/vdJyagDa18jAAAAANXjmoIFt6k7uXJx8n879y4QfKFbVyXn/yS57+na1AYAAABAbQgFC+4jtyULHt3/339qY3Lpz5InnqteTQAAAADUllCwwH70u+RbD+++z+I3VW678+SGSrhY3seZhgAAAAA0hlDwBbq7u3Pdddfl2GOPzcCBAzN58uQsXLgwEyZMyMUXX9zo8qpqU3fysSXV295PHkt++nj1trevRs86OX90379Xbkv/I+evmJs/vv8rW9te9S9/0bji+qjvvC558+gd2xfMSmaMqH89AAAAwN6z0MgLXHTRRZk3b16uvvrqTJ06NYsWLco555yTlStX5oorrmh0eVU1f0Wyssqn/H79geS0w6u7zb217Du/yFfGnZskGT75mLzxux/N3JMvzXNPrGlMQX3coQMrt87thnfUAcngtuSu1Y2pCwAAANg7QsHnzZkzJ9dff30WLFiQ6dOnJ0lOP/303HrrrZk3b16mTJnS4Aqr69t7OG14fyx6PFn1XDJ8YPW3vS/aJx+TdY88IRCsoYlDK6tWL32mZ/v4IZXrSz7mGpMAAADQ1Jw+/LzZs2dn5syZWwPBLcaNG5e2trZ0dHT0aP/85z+fUqmUuXPn1rPMqiiXkztrNJPrribI4YZ3jM2qO+5vdBl92qShybJ1ycbunu3HHmyWIAAAAPQGZgomWb58eZYsWZLLL798h/uWLVuWSZMmZcCAAVvb7r333nzxi1/MtGnT6llm1azakKzeWJtt3/t0404h3qJ98jF58Nu3NLaIPm7i0OTIA5Obz+jZPqhfcv29jakJAAAA2HtCwVRCwSQZMaLn6gjr16/PwoULM2vWrK1tmzdvzoUXXpjPfOYzee9731v1WhYuXJgkKZVKe+y7N312ZsDIcTnhsz2Tmz2tMLyr+192Y8+f3//3s3Phf1y1X3XtzBdHnLlP/VsHtGXohCOzavZX9vsx93dcX6yp/1VuisffG8cPTT5/z46noX91RvLbfZgp2Oj/10Y9PtC7eQ8Bisb7Xv0Y6/ox1vRV5fLeH9s7fThJe3t7kqSzs7NH+7XXXpsVK1Zk6tSpW9uuueaazJo1KyeddFJda6ym8uYaTRNMUt60oWbb3huHTByTlrZ+eeJ2pw/XyhEHJkP6Jz97PHn8uW23/q3Jwf33LRQEAAAAGsNMwSRjx45NR0dHZs+enWHDhmXUqFGZO3dubrrppiTZGgr+/Oc/z49+9KMsWLCgZrVsuabh7h5jxowZe+yzO5u7kxnfSZ7r2ta2/Yy/LbbMENzV/dv74sc/lDO++qH9qmtnrh951j71b598TNYuX5kNq57e78fcl1S9mraMcaMff08mDU3Wb66cKv5Ckw9JHn02eWofMudG/7826vGB3s17CFA03vfqx1jXj7EGMwWTJC0tLbnhhhsyadKkXHLJJbngggvS3t6eyy67LK2trVsXGZk/f36WLl2aY445JmPGjMktt9ySSy+9NB//+Mcb/H+wb/q1JOMPrs22jx9Sm+3ureEdY/PEbUsbW0QfN3FoZTZg13b7zhOHJb9tgoVmAAAAgD0zU/B548ePz/z583u0nXvuuZk4cWIGDRqUJLnyyitz5ZVXbr1/xowZefe7352zztq32WzN4NUvSW5/qrrbHHdQZfGJRvrpFZ9ubAEF8H/u3Hn7P95e3zoAAACA/Wem4G4sXry4x/UE+5I3Hpn0r/Kzf9aYxDVaAQAAAJqfUHAX1q5dm87OzkxysYB0AAAgAElEQVSZMmWXfRYsWNArZwkmlYUiLjy2etsbe1DyxtHV2x4AAAAAteP04V0YPHhwurq69tyxFzv/2GTho8ldL/I6cC2l5AMnJQNaq1MXAAAAALVlpmCB9WtJPvGK5IgDdt3nZTfuflXaliR//9LkhEOqXh4AAAAANSIULLhDByb/eloyZfi+/+6QtuRjJyczj6h+XQAAAADUjlCQtA9MPntq8lcnJsMH7Ll/aymZNSr5+unJ9BG1rw8AAACA6nJNQZJUrgv4tqOTtx6VLFiRLHo8uWt1smJ90lWuzAocPySZPCz5X0dWZhgCAAAA0DsJBemhrSX5/VGVGwAAAAB9k9OHAQAAAKBghIIAAAAAUDBOH6apnb9ibqNLKIzFb2p0BQAAAEC9mCkIAAAAAAUjFAQAAACAghEKAgAAAEDBCAUBAAAAoGCEggAAAABQMEJBAAAAACgYoSAAAAAAFIxQEAAAAAAKRigIAAAAAAUjFAQAAACAghEKAgAAAEDBCAUBAAAAoGCEggAAAABQMEJBAAAAACgYoSAAAAAAFEy/RhcAAABFcseXBzTkcU9854aGPG4jNWKsizjOteZ5rA/vTfVjrHfk77wxzBQEAAAAgIIRCgIAAABAwQgFAQAA2MHm7uS+p7f9/Ltnk3K5cfX0ZRu7krvXbPv58fXGulae25z8dvW2n590BikF5pqCAAAAJEk2dCU//F3yzWXJkqeSjd3b7nvTzcmQtuQVhyVnj0lOGpaUSg0rtdd7dnPy3eXJjQ8nd69ONr8gBHz9D5LhA5JXHl4Z6+OHNqzMPuHpjcl/P5x8++FK0P2Cl3Ve973ksIHJjJHJWWOSsQc1qkqoP6EgAAA0mQlvvSeP/fqDWf3AnL1qpzqOft33c8Ch01Lu3pSUu7Jx7QN5/PZ/yNPLvtno0uriZ48nH/5N8thzu+6zZlPy/Ucqt6nDk6tPSo44sH417o1mfx7L5eQHv0uuvSNZvXHX/VZtSG5cVrnNGJFc2ZG0D6xfnXujN4z1Nx5KPnVn8mzXrvs9/lzy9QcqtzcemVxxQnJQW/3q3JNmH+d6sF+sDacPAwAAPO/x22fnt3OG57dfG5nVD3w9o3/vK+l/0LGNLqumusvJJ+9M3nPL7gPB7f1qVXLOgmTBipqVtt+a9Xnc3J188NfJ3/1q94Hg9hY8mvzh/OTXq2pX2/5q1rFevzm5/BfJP96++0Bwe//9cPK2+cm9a/bct56adZzp3YSCAAAA2yt35cl7PptSS78MPGRSo6upmXI5+dgdyX8s3b/fX9+V/PXi5gwGkzTV89hVTt5/a/Lt5fv3+09vSt79s+Q3TRgMJmmqsd7QVQkE/+ex/fv9x59L3rUoWfr0nvvWXRONM72fUBAAAGA7pZa2DJvwZ+nu2pjnnrqj0eXUzPceSW54cPd9Fr+pctuV7nLygV8njz5b1dKqopmexzlLk5t/t/s+exrrDd3JlYsr18hrNs001p+5O1n8xO777Gmsn95UGesN+zDLsB6aaZzp/YSCL9Dd3Z3rrrsuxx57bAYOHJjJkydn4cKFmTBhQi6++OJGlwcAO7W5u7Jy3tpNja4EqmdjV7LqucrpX+yo/+CxGXvGzRl7xg8zduaPMmj4lEaX1GccduKVmfj2x3Lcmffn4CPfmGUL356Nz+znNLom99SGynXtquHZzclHbqvOtqqh2Z7Hh9cmn767Ott6YkPyf+6szraqodnGeslTyVeq9PAPrE3+tbM623qxmm2cm4394v6x0MgLXHTRRZk3b16uvvrqTJ06NYsWLco555yTlStX5oorrmh0eQDQw5qNldO95j1U+XeSdBySvOOY5LUvaWxtsL+Wr0u+dF9y08OVGTGlJNNHJOeOSyYPa3R19VPu3pxSy45XuS+1tKVc3pSuTavz0II/TNeGJzNgyHEZNe1fcv/3XtOASvuex+/4x6y84x8bXUZdfOPBymyoavnZyuSu1c2xUm6zPY9fub/nSs4v1rcfTt51XDJiUPW2ub+abayvvzcp77nbXvva/cl545LBDV54pNnGud7sF2vDTMHnzZkzJ9dff31uvPHGvO9978vpp5+eq666Kqeccko2b96cKVOkzAA0jyc3JBf8JPnivdsCwaTy7fiVi5N/uatxtcH+untN8scLk28+VAkEk8qB3Y8fTf70fyqrnRbFxrUPpf9Bx/Roa+l3YPoNHJGNzzyQrg1PpmvDk0mSctfGlMtNdn4bTa+rXPlSqdrmPlj9bfZ2z26ufNFRTd1J/l8Nnr/e7rH1lX1GNT3blXxnP68DSfXYL9aGUPB5s2fPzsyZMzN9+vQe7ePGjUtbW1s6OjqSJDNmzMjRRx+dk046KSeddFKuvPLKRpQLQMH9w23Jw+t2bN8yCeGL9ya3PF7XkuBF6Sonf/WLysHz9jM8ulNp+8Ctycp9WBm1N1u99MsZNv6iHHDYK5NSS1r6D83Il388z61ekvVP/mZbx1JLRp78iaxccl3jiqVXWra2sphCtf1yD9dxK6I7n9q31W/31i9XVn+bvd2vntj2WaiafuF13XD2i7Xh9OEky5cvz5IlS3L55ZfvcN+yZcsyadKkDBgwYGvbxz72sZx11ln1LBEAtnp0fbLg0d2fGtOS5OsPJNMOq1dV8OL87PFkxfpd319OsrlcmUX4pxPqVlbDrH7gqyn1OyAvecU/pf+Bo9O9eW3WPfaTPPSjtyYvmP1wxKmfzzPLb8ra332/gdXSG921ujbb/d2zyeqNydD+tdl+b3TXmtps9541lesK9zPVZ6u7azTWtfp7Ye/ZL9aGUDCVUDBJRowY0aN9/fr1WbhwYWbNmlW3WhYuXJgkKZVKe+y7N33oPab+V+Xw3vNae8aa3u6Q3zsnY//yP3fbpzvJ/AefSWnawfUpqkC8h9TGqPM/lsPffEVKLbs+ui2Xu3Pd3IW5+P2vrmNl1Xf7l/YuLXnq3i/kqXu/sMv7X3LyJ7Px6aV5svPze7W9Ir5m93ast3jg+6970Y/ZW8b58DP/Jke8s+f1yXa3Euvu7n/ZjT1/fsn4jqx/qHqrovb25/GIP/lkDn/jX/Roq8ZYb+hOBg5tT9czq15khRX7Os5J84310X/1tQw77Q97tFVjrFc8symlUvWS7ka8ppPmfn/amzGxX9w75fLeX1XTdwpJ2tvbkySdnT2XFbr22muzYsWKTJ06tUf7VVddlRNPPDFvfvObc/vtt9etTgBIklJLa1X7QTMotbZmz5eGLyVe10mSAw//vRxy7EU5cOTpOfp138/o6V9rdEn0MqXU8GC4jx5o769aBg+7+yKliGo21iXj3OzsF/ePmYJJxo4dm46OjsyePTvDhg3LqFGjMnfu3Nx0001J0iMU/PKXv5wjjzwypVIpX/3qV3PGGWfkvvvuy4EHHliVWrZc03DBggW77DNjxow99qH32fJN1L6k+uwfY01vd/8zyR/O332fliQnjTwgt3qdV533kNr4zvLk6lt336elVMrFb/y9/OXf9u6xv+PLA/bcaQ/WPfbj3PmVg/bpd4r4mq3GWO+r3jLO33wo+fBtPdu2n/G3xZaZVLu6f3sP3XVbDh24/7Vtr7c/j//amXz27p5t1Rjr1lKybtXj6V+l70oaMc5Jdcf6o7cnNzzYs60aY91+QGtV6+wLY11tL3ZM7Bf3j7g7SUtLS2644YZMmjQpl1xySS644IK0t7fnsssuS2tr69ZFRpJk9OjRW799ePvb357+/fvnnnvuaVTpABTQ2IOSlw7b/U68O8nZR9erInjxXj0yObgtu527VE5y5pg6FQR93HFDa7Pd4QNS1UCwLzhuSG22O+7gVC0Q7Csm1Gisa/UcQqMJBZ83fvz4zJ8/P+vWrcuyZctyzTXX5I477sjEiRMzaNCgJMlzzz2XJ57YtuzQD3/4wzzzzDMZN25co8oGoKCumpwMbtv1jvy1L0l+/yV1LQlelAGtyd9PqZx1uP3rektQ+O7jkzGD610Z9E3HHFQJ4qvtpcOrv83e7oRDkn41OKv1pcOqv83e7qQavf68rumrnD68G4sXL860adO2/vz0009n1qxZ2bhxY1paWnLwwQfnxhtvzMEHu4g7APU15qDk+lcl/3xXsmBFZWZgkhzSP3n72OS8cUmLSzrRy5x2ePLZU5NP35X85slt7aMPTC4cn/yvIxtXG/Q1bS3JG45M/vP+6m73rUdVd3t9wdD+yatfknz/kepu9w+M9Q7GDE6mDE9urc7aK0kqge4b7H/oo4SCu7B27dp0dnbm0ksv3dp22GGH5Ve/+lUDqwKAbUYPTq59efLEc8nM71favvO6pJ/zAOjFpgxP/vW0ZPm65C0/rLTNfXWx1i249iubc+eD5Rx/VClX/rGP69TOHx6dzH0w2di9x657ZcKQ5OXt1dlWX/NHY5MfPLLn5ZT21qmHJceYm7JT5x5T3VDw9Ucm7U6Jbzj7xtpw2LALgwcPTldXV97znvc0uhQA2K0XflAVCNJXHPGCNdyKFAj+9sHuPLsh+dJVbdm0OVlyf5XSGvbJY0+W89GvbN76879/tyvnfXhTAyuqjSMOTP7suOpsq7WUfOCk5v17bfRzOumQ5Jyx1dnWAa3J33bsuV+9NHpst/eqEcnrRlVnW8MHJH8xsTrbqoVmG/tasW+sHfEqAAA0iduXlnPKpEqqMm1SS267r5wTdhIk/PKu7rz3U5szYXQpj6wsZ8LoUj713hpcIK6gbrmzO6dMqnzLsnFTOXcv67srVP7RMcmvnkh++viu++zN6qyXT6rdIg/V0AzP6aXHJ3c8Vbntyp7GupTk/SclIw+oamkvSjOM7fb+5sSkc03y4Npd99nTWLeVkmumJEP6V7e2amrGsa8F+8baMZ8AAACaxDPPJgcOqhz4HHRA5eedmTqhlBPHlvKFv23L1AktueqdvuvfX7+8qzuvvGRjLvyHTTnjio35809uyuK7y3nZcZXnYd6Pu/Om0/ruYVNrKfnoy5NXHb7/23jvxMr1bJvBzp7PJE3xnA5sTT41LZm8nwuEtJaSD760erPg9kdv+XsZ0j/5zKmVBXX2x4CW5GMnJycfWt269lczv67rwb6xdvrmKwYAAHqhgwYl69ZXZnqsXV85+NmZ5SuTUYdWDpAee7Kcw4c16TmbvcDODiLXb0gOGFjKps3lLL6rnFdM7NuHTQNbk4+fnLzvhEoYsrdGHZB87tTkj8fVrrZ9tbPns1wuN81zelBbZcwunlAJ+fbWsQcnX/q9xi+41Jv+Xg4dmHzpVZXTtvflHXLysGTOjMriV82i2V/XtWbfWDtiUwAAaBId40qZO787Z7yiclrYm09ryeauctasTYYP2XZws/SRcsaNKqWru5xS3zwGrJvtDyKfeqac8aMrP39rUXdef0oxBrilVJntd/rIZN5DyTcfSlZt2HnfCUOSs8ckM0clAxt0RPnE6nL++jObe7S1Dynl3We27hAK3P1Qd1M9p/1aKqHgrFGVhV7+++Hk6V1cBq7jkMqCMK95SWXF6EbrbX8vA/slf3lC8ubRydcfSL67PHm2a8d+pVRmBZ49pnJNwn0JbKupN7+ua8m+sXaEggAA0CQmjmlJ/7bunPeRTTludCknHtOSZY+V84Vvd+WDF2776H7fI+VMHlfKxk3Jk08nK1eXc+hQMyL2x/YHkT+7c9u1qx5cUc49y7rz9fldue+Rcv7zB115x++3Nrji2jp8UHLJccmfTaisAn73mmTNpsopZiMOSI4fkhwyoNFVJu1DK7Omtjf/1u4dQoFmfU6PHJxcfkLy55OSZWuTe9YkazclrS2VWZjHDUkObrLr2fXWv5dxByd/Nzn56xOTB55J7n06eXZzJaAdPbgSdB/YBOlIX3hd14J9Y+00wcseAADY4so/7vkR/Z5l5cya1nPKw5++cdvB3ryPuIj6i7H9QeTP7+zOeTMrz8Hlb9v2XJz34U196iB7T0qlSmh15OBGV7JvdhYK/PaBcs6bWfkbasbntLWUHH1Q5dbsevvfS7+W5NghlVtv0htf19Vm31gbQkEAAGhiv/9y50DV0vYHkd/7eVdaWnacWfKl9zvA7A12Fgq89mUlz2mV+HtpDK/rHdk3VodRBAAAeN4Zr+h7M2yKznNaO8a2cYw91WCmIAAA1NGJ79zF6g1UnbHuGzyP9WGc68dY78iYNIaZggAAAABQMEJBAAAAACgYoSAAAAAAFIxQEAAAAAAKRigIAAAAAAUjFAQAAACAghEKAgAAAEDBCAUBAAAAoGCEggAAAABQMEJBAAAAACgYoSAAAAAAFIxQEAAAAAAKRigIAAAAAAUjFAQAAACAghEKAgAAAEDB9Gt0AUBzuH7kWXV/zPNXzK37Y/Zld3x5QEMe98R3bmjI4+6NRoxJM49HrXjt1Y+x7hs8j/VjPwAAu2amIAAAAAAUjFAQAAAAAArG6cPQIOVysuSp5OdPJHet3tb+np8lxw1NXjo8ecWhSWupcTX2FeVy8qtVya+eSO5as639vT9Pjh+STG1Ppg5PSsaaXmRTd/KTR5Pbn0o6X/C6vnJxctyQ5LTDk3EHN66+vuS5zcmCRyvv2Z1Pb2t//68q79e/d3gyenDj6utL1m5K5q9I7lyd3PeCsf7gr5PjhybTRyQjBjWuPgCAvkQoCA3ww98l/9bZ8+Byi5+trNy+eG8yclDyR8ckZx8tHNwf5XJy48PJl+5Nlq3b8f7/eaxy+7+dyZjByXnjkjcc2bfDwQlvvSeP/fqDWf3AnL1qp/ls6Eq+fN//3969x0dV3nkc/8wkgZCES26QEC4hJIAJJHIREFDk1VVQa/vysqjdFdZLaRHpCtvdRa0va1VEpKxW7UJ1KdpltYKsq8UCohCrgBGpkIBIAwmBECGEBBMSMklm9o/DJYGETJIzOWdmvu/Xa/7ImZNnfvmdM/Pk/OY5zwOrC+Ck69LnNx01Hi9/DVfGwKyhMDa+8+MMBFV1xmf1u0VQWXfp8+uLjccLe2B8PPx0GAyP7vw4A0F5LSzbB+uOwJmGS5//02Hj8etcuDYB5lwBg7p3fpwSeNQviohIMFNRUKQTnXLBwl3wUYl3+5fUwJI82FAMvxoJ/TUSxWvHa4yRJTknvNu/sAqe/MrI9RMjIT7ct/GJPQ26YSMR8ePxuOvA04CrqoDju5/lu6J3rQ4NgH0V8PhOKKjybv+vTsKD2+C2gTB/OISH+Da+trB7rnecMD5Dvq3xbv/tpZBTCjNSjeJgqE0maLF7ngG2lMAzu6C8mSL3xdwYoza3HjfyfM/gwP4i5xx/OI4iIiLif2zyL6tI4CuvhZ985n1BsLHccrjv06a3UknLjlbD/Z96XxBsbHspPPAplFSbH5f4h+O7F7L3zVj2/jGRioK3GXDtKrp0T7M6LL48AT/+zPuCYGNrD8HPtkNNvflxdYRdc725BB7a5n1B8Bw3sDIfHvkS6t0+Ca1d7JpngLWF8PMvvCsINuZyw2/2wqLdxqjwYGDn4ygiIiL+SUVBkU5Q74Z5OZBf2f42yl3GRWp5rXlx+UJUv3gmvTDHstevrjfyVNLGi/nGiqvhoe3GPGISxDwNnPxmGQ5nKOHRGZaGcqjK+Aypaea2Sm/tLINf7LRpAcVGuc4rh0d2QH0H8rS5BJ7PNS8m09goz2DMifns7o618c4h4xbvoGKz4ygiIiL+S0VBkU7wer5xoXk5O35gPC7nRC0stuOFpo28tLf5+QMb8ybXh6rglX3mxeUvukSlkDJ1EylTPyJl2sd0ix1ldUiWcTjDiBn6U9wNLs6UW/fGa/DAk381Ct6X4815nf2tMWeb3dgl12ca4Im/tl4Q9CbX7xyC7cfNi80MdskzGNNpPL0LWqu9epPrV/fDvlOX3yeQ2Ok4BgP1iyIiEshUFGzE7XazZMkS0tLSCA8PJysri+zsbIYOHcqsWbOsDk/8VNkZeM3EUQwfHjVG/NjRuKfvY/KyeSRNuZJp7zxJbGZKp77+wUpYXWhee28dNOYaDCQedz0OZ9gl2x3OMDyeOhrqKji0ZToHN3yP4m0PkjjmeQuitFbvEQtIv+sYw24/SI/+t1CUfReuygOWxbOx2Fhh2Cwv7DEWK7EDu+V6dYHxhYBZFueC2wYjM+2WZ4AV+6HMpJHvDR5YmmdOW3Zmx+MYCNQviohIMNNCI43cf//9rF27lscff5zRo0ezdetW7r77bkpLS5k/f77V4Ymf+r8iqDN5bqnVBTAq1tw2L2fAjWO55qW5xg8OB2ER4dTX1OJxG39Y0YYd/GXOi3z+ixVE9Yvnyp9P59OHX+m8AM9aU2huex7gnUL4l+HmtmslV9UhunQf3GSbMzSS0PAEXJUFNNSePL/d0+DC47FJ9agTHc9dRGnuIqvDOG91gbntVbiM1Ylv7m9uu+1hp1y7PeZ/hhSdhi9OwDiLV3+2U57BmJrhvcPmtrmzzJh3N7WHue3aid2OY6BQvygiIsFMRcGz3nzzTVauXMmWLVuYPHkyAFOmTGHnzp2sXbuWUaN0q4C0z/pi89vcXGLc5tZZK4kW/TmHVan3ABCbNZhb1j/HmrEPcuaEfe7X8nhggw9ui1x/BOZnBM7qlhUH3iDxqiVUHt1Idek2nGE9SBy9iDMVedSc/OrCjg4niWOXUpq3xLpghaPV5o4SPGf9EXsUBe0kr9yYT9Rs649YXxS0m63HobLO/HY3FAd2UVB8Q/2iiIgEMxUFz1q4cCHTpk07XxA8JzU1lbCwMDIzMwFwuVwsWLCA999/n/DwcKKjo/nkk0+sCFn8QHU9FHRgcZGW1HuMERHDo81vuzVxWYM5XXzCVgVBMC7mT/ngIrPcBcdqICHC/LatUFHwFo7QCPqOe5EukQNw11dx+thfOPTxbdBo9EO/Cb+j8sgHVB3daGG0srfCR+2eMgrpgVLsNoPPcu2jdv2Zci12on5RRESCmYqCwJEjR8jLy2PevHmXPFdUVERGRgZdu3YF4NFHH6WyspJ9+/YREhJCSUlJZ4crfqSwqvVJ1NvLqqJgbGYKZbkHO/+FW3HQB8XXc/IrA6coCFD+txWU/21Fi8/3HfsCru8OcHL/7zoxKmnOge980+4plzGfW1y4b9r3Rwd89BlSUGncmuxUAfY8X+XaV+8XCXzqF0VEJFipKIhRFARISEhosr2mpobs7GxuvPFGAKqrq1m+fDmHDx8mJMS4bzMxMdHUWLKzswFweDF8w5t9xFpR6dcw9NmmI0lbW0WxpefHvNf051lz5nLrupc7EF1Tv0+43av94rIGU7hue4vPN9TWcSrfu3umzTyHoydNJ+Vf/9hkm1m5vuW2O6jY+k4Houscu1/v0uE2IvtcS3Ta/VSXbmNQ4hQaasspyr7zsr9j58+ituakYOMNHX5NM/ORNGMRCbf/e5NtZp3XSQMH4Tpe2P7gGmnPuWe3XCc//DqxU2Y02WZGrt1AaNdwPHXmrKphxTkN5uY67cmN9Ljy+ibbzMj1t2XlOBwxHYyucwTCcfQXHe0bA61fFBGRwOfxeD80SUVBIC4uDoD9+/dz0003nd++ePFiSkpKGD16NAD5+fn07NmTpUuXsn79epxOJ/Pnz2f69OmWxC32564747u2XTU+a7slIV3D6DW0P2ULV7W4T01pBbkvv9uJURncLh/murbzc22V08c+Yc+q7laHIWf59DPEh237I199hnjcbjwNPpjbwI/5LNc+7AckeKlfFBGRQKaiIJCSkkJmZiYLFy4kJiaGpKQk1qxZwwcffABwvihYX19PcXExiYmJ5OTkUFhYyIQJE0hLS2PkyJGmxNKWiq7YX1UdXPfnptsuHq1zzrlREC09f7GP3nqNrJjX2h/cRVYm3tHqPtHpyTjDQjmx25zbh80834uq4LaPm24zK9d7s9eRFNn+2DpL7htdLXldO39uWZETM/OxoRge+7LpNjPO6x5h4CorMW1OwUA491YdgP/Y03SbGblO6eHkywbzVisNhFy/uAf+cKDpNjNyPWFIIrts/HnUWCAcR3/h7/2AiIiILzmtDsAOnE4nq1evJiMjg9mzZ3PvvfcSFxfHnDlzCAkJOb/IyIABAwCYOXMmAMnJyUycOJGcnBzLYhd7iwqDgVHmtxvigCEWrLAYlzWYqiOl1JbZb+KmfpEQ5YOvOXqGQd8Amk9Q/Et6T9+0O6ynFhm5WHov37R7hY/a9WfKtYiIiIg9qCh41pAhQ9i8eTOnT5+mqKiIp556itzcXNLT0+nWrRtg3GY8bdo01q1bB0BZWRk5OTlkZWVZGbrY3A19zW/zmj7QzYJxvrGZKZzYdaD1HS3gdMD1Sea3e32SiidinX6RRgHPbDf44L3i70ZEQx8fLLyiXF9qQh+ICDG/XV/0tyIiIiKBTEXBy9ixY8f5W4fPWbZsGcuXL2fEiBFMnjyZBQsWMH78eIsiFH9w60BjZJ+Z7kg2tz1vfTb/t2x5YIk1L+4FX+TFqlyLgFGQNvscjAqFqSpUXSLUCbcmm9tm3wi4ure5bQaCyFC4ub+5bQ6PhmEaKSgiIiLSJioKtqCqqor9+/czatSoJtsHDhzIpk2byM3NJS8vj9mzZ1sUofiL3t1gRqp57V3TB8bFm9deIBnaE24x8ULz1oGQasFt2r60eFU9M5+pY9F/11sdim0dO+nhuVUX8vOH9Q3MfNq6hSK+39/c0YIPpVsz0tgbVuf+RymQZOJ0AfMzzP9SqL2szu3FHhhiTM9gBidGroON3Y6pv1K/KCIiwUxFwRZERUXR0NDA3LlzrQ5FAsCPh0BaK8WlMe+1PpF6zzB4NEu3s17O/OGQ0O3y+3iT674R8M/p5sVlB3sL3VTXwuuPhVFXD3kH3VaHZEvb97i5OsPoHl11HvYVWTthfKgTfjkSurTSY3tzXo+Lh9sHmheb2azOfUQoPH5l6/8ceZPrm/rBdYmmhdZhVuf2YrHh8Ezp2hQAAAWRSURBVIgXs694k+t7UiEzxpy4/Indjqk/Ur8oIiLBTkVBkU7QJQReHAf9O7CCbVQo/GY8xPtgzqtA0j0MXh4PsR1YbDCuK7w03lgoJpDsPuDh6gyjojw+w8mu/OYvIL/42s3E2S7ue7aOqfNd/OyFwB150tzfumOfhzHDjDyt/cTNDyZZ31Wm9oDnr4KwDoSS3gueG2OPLxVaOsfskPsxcfDEyI79gzQ+Hh6zcLphfzmv/65vx798mZYED15hTjx2Zef3i79TvygiIsFO/z2IdJLe3eDVicbFYlsN7g6vTYKMaPPjCkTJ3eG/JhkLB7RVZrTxu75YNdpqldUQ2c24+OkeYfzcnNFDHYxIcbDikTBGD3Xy2Ayb3mtqgub+1ppaiAh3UFfvYcfXHsal26OrnNgHfns1JLYyErY5NyQZv2uXQndzefd4PLbJ/c394ddjIaZL23/375Nh6Vjo6oOFNLzlT+f1PanGSNjINn7MOB1wXxo8Oco+t2j7it3fL/5M/aKIiAQ79WginSgu3BiB9t5h+P1+ONLCP5/nRHeBOwfBzLSOjRAKRv0ijULqWwdh1QE4fuby+/cJh39MhemDAvcCs3s3OF1jjIKoqjEugJpzpBSS4o0kHDvpoU9MgCaES//W8koPQwYYP/9pq5ubrrbXG29kLLw1BV79Bv73EJxuZQqs1O7wk2EwxaLbWE9UePi3/2waZFxPBw/dHnLJObbvkNtWub8mAd6eAq/sgw8OQ20rdxWOiIYHh8FVNpjz1d/O6+/3N0ZovrwXNh2F+lbugr0qDuamG6NfA4k/v1/8lfpFEREJdioKinQyhwN+OMBYECOnFD4vha9PwfEacHsgpquxYMbIWLguwbj1WNonxAH/MNgorH56DL4sg68roKwWHBi3GA/rZVyMTuxtzN0WyDJTHazZ7GbqOGMuqh9OclLf4OFUFcT2vHCBc6DYQ2qSgwa3B0eA5+Tiv3Xbngu3khWWePimyM3bmxvIL/bwPx828KPrrX9DRobCwxkwayh8dBR2l8M3p+CUyzjnkyKM83pib8iKsfZ24bhexsiai23e6b7kHLNj7nt1NW4DnnsFbDwKe8ph/3dQVWd8XgyINBaBmZxgr5Vv/fG8TugGT482zu1NZ3OdXwnV9cZ8mslRRo6/l2iMBg9E/v5+8UfqF0VEJNipKChiEacDxvc2HuJboU5jwn87TfpvhfRkJ13C3Mx8po5hAxyMGOyk6JiHFesa+OV9F7qD/GIPWakOXHVw8jsorfAQ3yswR0Vc/Ld+vsfNzGlGLubdeSEnM5+us91FdkQo3DLAePib5s6xvQUeZk4zrrbtlvseXeCOZOPhD/z5vI4Lh7tSrI7CXvzt/eJP1C+KiEiwc3g8Hi1VJiKsTLyj01/zn0rWdPprBrLcN9q+usqHX7jpEUmH5qIaMaO23b/ra23NyYbPG5g6rmMX1HbOh6+059y7WHtyr1x7R+e1/XT0PdPeYxqMx7GtuQ70flFERKQxjRQUEQli11+l+6Aa62jhRNpPufcd5Tbw6Jj6jvpFEREJJhopKCIiIiIiIiIiEmT0VZiIiIiIiIiIiEiQUVFQREREREREREQkyKgoKCIiIiIiIiIiEmRUFBQREREREREREQkyKgqKiIiIiIiIiIgEGRUFRUREREREREREgoyKgiIiIiIiIiIiIkFGRUEREREREREREZEgo6KgiIiIiIiIiIhIkFFRUEREREREREREJMioKCgiIiIiIiIiIhJkVBQUEREREREREREJMioKioiIiIiIiIiIBBkVBUVERERERERERIKMioIiIiIiIiIiIiJBRkVBERERERERERGRIKOioIiIiIiIiIiISJBRUVBERERERERERCTIqCgoIiIiIiIiIiISZP4fAeaHjR8isG4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1683.19x927.08 with 1 Axes>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "circuit.decompose().decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CfMi17iOdKS6TJDW461rKydZs9Z2QoJP5B1Tybr7n2OpPP9O+51YpcUWmJGnvwrdU7aogMwBYDLcRAR+qrajyWq92VejzXYd156DeOrg075rjy7bsls0mNV6s17G8Ql/F9GLFzADQnlC2AB9qbmryWo+aNFI94qN1fOsejchJ8zwL9bWhLz2pmpJKXTp/UffNn+LLqB5WzAwA7QllCzBJt+ieGpY9S4UZr+rjOb9TcHhXr3LSf3KSeo+Nl/OnS+VMzVHsrPG6e+RgExNbMzMAmI2yBZjAPzRIo1Y+oyMrP9SpokNqvFj/TTlJdKhbTC8NfXmmCjNek7uqWjUlldqz4E0lLp+j0Lu6kxkALIQH5AEfyXsg3fNxo7teH4ye57W/pqRS6wdO96yvj3nca3/ppiKVbioyNuRVrJgZANobrmwBAAAYiLIFAABgIG4jAgBatTdrtc4cLjPl3OH2fhq6aIYp5zYDs+6YKFsAgFadOVym038+YnaMToFZd0zcRgQAADAQZQsAAMBAlC0AAAADUbYAAAAMRNkCAAAwEGULAADAQJQtAAAAA1G2AAAADETZukJTU5OWLFmi6OhohYSEKC4uTk6nUwMHDtTs2bPNjgcAACyId5C/wsyZM7V582ZlZWUpPj5eu3fv1tSpU1VVVaV58+aZHa/T6/fICA2aMU53xvZVQGiwcns/anakb2XFzMC3sfn5KX7hNA14dJT8g4N00nlQf/6v/1HdmXNmR+twmHXHwJWtyzZs2KA1a9Zoy5Ytmj9/vkaPHq2FCxcqISFBDQ0NGjJkiNkRO726mlodXbNd+55fY3aUG2bFzB2RLcDf7Ag3rT1nHvyzier94P3aOv6Xem9IqiRp5Os/NzlVx8SsOwbK1mXZ2dkaN26ckpKSvLYPGDBAgYGBcjgc+uqrrzRhwgTFxMQoLi5OP/rRj1RSUmJS4s6nsuCgyt7fpdoTp82OcsOsmLkjSN73huLmJuvBvBc0rWStUkrXaew7WZLNJkmKTLDrMVeuug/qo4AuIZpYuEyOzEmez3fMTdbEwmUKCA0m878Q85OxKl7+vmrLv9Clcxf010Vr1euH39MdvSIMP3dnw6w7BsqWpIqKChUXF2vy5MnX7CsvL5fdbldwcLBsNpsyMzPlcrl08OBBTZgwQTNm8BfSgfYoZtoY/eWF32vdgBStHzhdd9wdrrjMSQqJ6KbEFZnal7Va1UfL1XDhogqeytG96Y8oMsGuyOF23Zv2sApmLVGDu47MVwnq2kVhvXroy09KPdvOnTit+rPnFR57j6Hn7myYdcdB2VJL2ZKkyMhIr+1ut1tOp9NzC7F79+4aM2aMZ//w4cNVVlbWpllsNhvL5cXpdLbpbG+U0+m0XGar5jYys2vdRzpT3PLfZ4O7TgVP5cie9rB+9O7zOpl/QCXv5nuOrf70M+17bpUSV2Qq8Y1M7V34lqpdFT7PbYXMAWGhkqT6sxe8vn792QsK/E7odc9/qzrz69pKs+6sy42ibEmKiGi5HOtyuby2L168WKdOnVJ8fPy//Lxly5Zp4sSJhucDcPNqK6q81qtdFfp812HdOai3Di7Nu+b4si27ZbNJjRfrdSyv0FcxvVghc0OtW1LLVZcrBXXtokvn3D7J0Fkw646DsiUpKipKDodD2dnZys3N1c6dO5WWlqZVq1ZJ0r8sW7/61a9UUlKixYsXt2mW5uZmlsvL1c/P+UpSUpLlMls1t5GZm5uavNajJo1Uj/hoHd+6RyNy0jzPQn1t6EtPqqakUpfOX9R986eYktsKmevPXlBtRZXCB0d5toX1uUtBXe/QV0dOtJrhVnTm17WVZt1ZlxtF2ZLk5+enjRs3ym63Ky0tTTNmzFBERIQyMjLk7+8vh8PhdfxLL72krVu3avv27erSpct1virams3PT/7BgfILannHEv/gQPkHB5qcqnVWzNwRdYvuqWHZs1SY8ao+nvM7BYd39Son/ScnqffYeDl/ulTO1BzFzhqvu0cONjFx+87senuHBmc8orDedykwLFTffy5FJ/MPXHNlDrePWXcMvM/WZTExMcrPz/falpKSotjYWIWGfnNv/Fe/+pW2bdumHTt2qHv37r6O2an1T07UD1592rOecnyDJCnv/rR2+4PHipk7Gv/QII1a+YyOrPxQp4oOSZKcqTn68Ye/1um9/6sLn5/R0JdnKv/J38pdVS13VbX2LHhTicvnaMuY+XJ/UU3mqxx6/X0FdQvThO2vyD8oUJWFn6jw6dcMPWdnxaw7BspWK/bv369hw4Z51g8fPqwXXnhB/fv316hRozzb//73v5uQrvMpea9AJe8VmB3jplgxc0eQ90C65+NGd70+GO39psQ1JZVaP3C6Z319zONe+0s3Fal0U5GxIa9ipczNTU3a/2Ku9r+Y65PzdWbMumOgbF1HbW2tXC6X0tO/+QFot9tv6h4tAAAAZes6wsLC1NjYaHYMAABgcTwgDwAAYCDKFgAAgIEoWwAAAAaibAEAABiIsgUAAGAgyhYAAICBKFsAAAAG4n220G6F2/tZ7rxmZTb73ACA66Nsod0aumiG2RFumhUzAwCMxW1EAAAAA1G2AAAADETZAgAAMBBlCwDQZmwB/mZHuGlWzAxroWwBAG5Z8r43FDc3WQ/mvaBpJWuVUrpOY9/Jkmw2SVJkgl2PuXLVfVAfBXQJ0cTCZXJkTvJ8vmNusiYWLlNAaDCZ0WHx24gAgNsSM22Mdj7xG50pLlNAaLAmbH9FcZmT9OnaHUpckal9WatVfbRcklTwVI7G/+FlfbH3qGST7k17WNsmLFCDu47M6LAoWwCA2+Ja95HOFJdJkhrcdS3lZGu2+k5I0Mn8Ayp5N99zbPWnn2nfc6uUuCJTkrR34VuqdlWQGR0atxEBALeltqLKa73aVaHPdx3WnYN66+DSvGuOL9uyWzab1HixXsfyCn0V04sVM8O6KFsAgNvS3NTktR41aaR6xEfr+NY9GpGT5nkW6mtDX3pSNSWVunT+ou6bP8WXUT2smBnWRdkCALSZbtE9NSx7lgozXtXHc36n4PCuXuWk/+Qk9R4bL+dPl8qZmqPYWeN198jBJia2ZmZYC2ULANAm/EODNGrlMzqy8kOdKjqkxov135STRIe6xfTS0JdnqjDjNbmrqlVTUqk9C95U4vI5Cr2rO5nRYfGAPADgluU9kO75uNFdrw9Gz/PaX1NSqfUDp3vW18c87rW/dFORSjcVGRvyKlbMDGvjyhYAAICBuLIFAABu2d6s1TpzuMyUc4fb+2noohmmnPtmULYAAMAtO3O4TKf/fMTsGO0atxEBAAAMRNkCAAAwEGULAADAQJQtAAAAA1G2AAAADETZAgAAMBBlCwAAwECULQAAAANRtgAAAAxE2bpCU1OTlixZoujoaIWEhCguLk5Op1MDBw7U7NmzzY4H+Ey/R0boofcX6TFXrh7/7F2z49wQK2a2KmaNb2Pz89P3s1L0n8Vvado/1mrUm/MVHP4ds2OZhrJ1hZkzZ2rRokVKTU3VH//4R02ZMkVTp05VaWmp4uPjzY4H+ExdTa2Ortmufc+vMTvKDbNiZqti1uazBfibHaFVg382Ub0fvF9bx/9S7w1JlSSNfP3nJqcyD38b8bINGzZozZo1KigoUFJSkiRp9OjR+tvf/qbNmzdryJAhJicEfKey4KAkKTLBbnKSG2fFzFbFrH0ved8b+seGPylyxL2KuK+//IMCdWr3Ye2Y+pLU3KzIBLt++Ptnte3h51Rb/oUmbH9FpZuL9MmyTZIkx9xkRf2fH2jrg8+qwV1neN6Yn4zVwf+3UbXlX0iS/rporSbtWa47ekXofMU/DT9/e8OVrcuys7M1btw4T9H62oABAxQYGCiHwyFJmjhxohwOh773ve/pgQce0EcffWRGXABAJxMzbYz+8sLvtW5AitYPnK477g5XXOYkhUR0U+KKTO3LWq3qo+VquHBRBU/l6N70RxSZYFfkcLvuTXtYBbOW+KRoBXXtorBePfTlJ6WebedOnFb92fMKj73H8PO3R1zZklRRUaHi4mLNnTv3mn3l5eWy2+0KDg6WJK1Zs0bdu3eXJB04cECjRo3SmTNn5O/fNpd0bTZbm3wd4GY8G56oQUE9fH5ep9Op8bf4mjcrs2TN3FbMLFkzt1GZXes+0pniMklSg7tOBU/laPzWbPWdkKCT+QdU8m6+59jqTz/TvudWKXFFpiRp78K3VO2qMCT31ZkDwkIlSfVnL3gdV3/2ggK/E3rTX781tzPrttDc3HxDx3FlSy1lS5IiIyO9trvdbjmdTq9biF8XLUmqqamRzWa74WEDAHCraiuqvNarXRX6fNdh3Tmotw4uzbvm+LItu2WzSY0X63Usr9BXMdVQ65bUcoXrSkFdu+jSObfPcrQnlC1JERERkiSXy+W1ffHixTp16tQ1D8dnZGQoKipKkyZN0qZNmxQQ0HYXCJubm1lYfL5cffvcV5KSkiyX2aq5rZjZqrmNytzc1OS1HjVppHrER+v41j0akZMmXXWFZ+hLT6qmpFKXzl/UffOnGJb76sz1Zy+otqJK4YOjPNvC+tyloK536KsjJ25khDfsdmbdFsuN4jaipKioKDkcDmVnZys8PFw9e/ZUXl6etm3bJknXlK3ly5dLarl8OXfuXBUWFiosLMznuQGj2Pz85BfoL7+glh8R/sGBkqTGuktmxmqVFTNbFbM2X7fonhqWPUv5s5boi798qh9/+GvdN3+K/v7blrfi6D85Sb3HxmvLmP+roG5d9OMPf63Te47oVNEhn+Rzvb1DgzMe0ee7ilX31Tl9/7kUncw/cM3Vuc6CK1uS/Pz8tHHjRtntdqWlpWnGjBmKiIhQRkaG/P39PQ/HXy0pKUl+fn7atWuXjxMDxuqfnKiU4xv0o3ey5Bfgr5TjG5RyfIPCepnz3M6NsGJmq2LW5vIPDdKolc/oyMoPdarokBov1suZmqPYWeN1d6JD3WJ6aejLM1WY8ZrcVdWqKanUngVvKnH5HIXe1f3bT9AGDr3+vj7b8VdN2P6KphxYKZu/nwqffs0n526PuLJ1WUxMjPLz8722paSkKDY2VqGhLQ/01dbW6ssvv1Tfvn0ltTwgf+zYMf3Hf/yHz/MCRip5r0Al7xWYHeOmWDGzVTFr38t7IN3zcaO7Xh+Mnue1v6akUusHTvesr4953Gt/6aYilW4qMjbkFZqbmrT/xVztfzHXZ+dszyhbrdi/f7+GDRvmWT9//rweffRR1dbWKiAgQCEhIXr77bfVp08fE1MCAID2jLJ1HbW1tXK5XEpP/+ZfE9/97ne1Z88eE1MBAACroWxdR1hYmBobG82OAQAALI4H5AEAAAxE2QIAADAQZQsAAMBAlC0AAAADUbYAAAAMRNkCAAAwEGULAADAQLzPFgCF2/tZ7rxmZTb73GZg1sDtoWwB0NBFM8yOcNOsmNmqmDVwe7iNCAAAYCDKFgAAgIEoWwAAwCdsAf5mRzAFZQsAABgied8bipubrAfzXtC0krVKKV2nse9kSTabJCkywa7HXLnqPqiPArqEaGLhMjkyJ3k+3zE3WRMLlykgNNisb6FN8IA8AAAwTMy0Mdr5xG90prhMAaHBmrD9FcVlTtKna3cocUWm9mWtVvXRcklSwVM5Gv+Hl/XF3qOSTbo37WFtm7BADe46k7+L20PZAgAAhnGt+0hnisskSQ3uupZCtTVbfSck6GT+AZW8m+85tvrTz7TvuVVKXJEpSdq78C1VuypMyd2WuI0IAAAMU1tR5bVe7arQ57sO685BvXVwad41x5dt2S2bTWq8WK9jeYW+imkoyhYAADBMc1OT13rUpJHqER+t41v3aEROmuf5ra8NfelJ1ZRU6tL5i7pv/hRfRjUMZQsAAPhEt+ieGpY9S4UZr+rjOb9TcHhXr0LVf3KSeo+Nl/OnS+VMzVHsrPG6e+RgExO3DcoWAAAwnH9okEatfEZHVn6oU0WH1Hix/ptClehQt5heGvryTBVmvCZ3VbVqSiq1Z8GbSlw+R6F3dTc7/m3hAXkAAGCIvAfSPR83uuv1weh5XvtrSiq1fuB0z/r6mMe99pduKlLppiJjQ/oAV7YAAAAMRNkCAAAwEGULAJ7Gjd0AAAPuSURBVADAQJQtAAAAA1G2AAAADETZAgAAMBBlCwAAwECULQAAAANRtgAAAAxE2QIAADAQZQsAAMBAlC0AAAADUbau0NTUpCVLlig6OlohISGKi4uT0+nUwIEDNXv2bLPjAQAACwowO0B7MnPmTG3evFlZWVmKj4/X7t27NXXqVFVVVWnevHnf/gUA4Cb1e2SEBs0Ypztj+yogNFi5vR81O1KHZNU5WzG3FTMbjbJ12YYNG7RmzRoVFBQoKSlJkjR69Gj97W9/0+bNmzVkyBCTEwLoiOpqanV0zXb5hwRr+G9TzY7TYVl1zlbMbcXMRuM24mXZ2dkaN26cp2h9bcCAAQoMDJTD4fDavnLlStlsNuXl5fkyJoAOprLgoMre36XaE6fNjtKhWXXOVsxtxcxGo2xJqqioUHFxsSZPnnzNvvLyctntdgUHB3u2/eMf/9Dq1as1bNgwX8YEAAAWxG1EtZQtSYqMjPTa7na75XQ69dBDD3m2NTQ06Mknn9SKFSuUmZnZ5llsNlubf00A7cez4YkaFNTD5+d1Op0a38l+vlhx1mZllm49txUzt5Xm5uYbOo4rW5IiIiIkSS6Xy2v74sWLderUKcXHx3u2LVq0SA899JDuu+8+n2YEAADWRNmSFBUVJYfDoezsbOXm5mrnzp1KS0vTqlWrJMlTtvbu3as//elPevbZZw3L0tzczMLC0oGXq58L9ZWkpCTTv3dm3X4z305uK2Zuq+VGUbYk+fn5aePGjbLb7UpLS9OMGTMUERGhjIwM+fv7ex6Oz8/P17Fjx9S/f3/dc8892rNnj9LT05WTk2PydwDAqmx+fvIPDpRfUMtTHf7BgfIPDjQ5Vcdj1TlbMbcVMxuNZ7Yui4mJUX5+vte2lJQUxcbGKjQ0VJL0i1/8Qr/4xS88+0eNGqWnn35aycnJPs0KoOPon5yoH7z6tGc95fgGSVLe/WmqragyK1aHY9U5WzG3FTMbjbLViv379/MbhwAMVfJegUreKzA7Rodn1TlbMbcVMxuNsnUdtbW1crlcSk9Pv+4xBQUFvgsEAAAsibJ1HWFhYWpsbDQ7BgAAsDgekAcAADAQZQsAAMBAlC0AAAADUbYAAAAMRNkCAAAwEGULAADAQJQtAAAAA/E+WwDgQ+H2fp3qvGay4qzN/N/pVs9txcy+Zmu+mT9bDQAAgJvCbUQAAAADUbYAAAAMRNkCAAAwEGULAADAQJQtAAAAA1G2AAAADETZAgAAMBBlCwAAwECULQAAAANRtgAAAAxE2QIAADAQZQsAAMBAlC0AAAADUbYAAAAMRNkCAAAwEGULAADAQJQtAAAAA1G2AAAADPT/AXThdzQYQf6uAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 780.192x325.08 with 1 Axes>"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.circuit.library import GMS\n",
    "GMS(5, [[0.2] * 5] * 5).decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1683.19x686.28 with 1 Axes>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "GMS(5, [[0.2] * 5] * 5).decompose().decompose().draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.7.5 64-bit ('latest': virtualenv)",
   "language": "python",
   "name": "python37564bitlatestvirtualenv76cfe9d7d3f749489cf2ff69593234af"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}