{
 "cells": [
  {
   "attachments": {},
   "cell_type": "markdown",
   "id": "262a5ec8-2553-4237-ab62-319b6ca22089",
   "metadata": {},
   "source": [
    "# Example-35: Orbit (closed orbit correction)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "5785d876-e516-449f-8abd-b5f1789159b5",
   "metadata": {},
   "outputs": [],
   "source": [
    "# In this example orbit correction is illustrated\n",
    "\n",
    "# Normally, global orbit correction is performed using model or measured ORM\n",
    "# In this case accelerator corrector setting are actively altered to correct closed orbit to a specific target orbit\n",
    "# Usually, SVD based inversion is used to solve linear system in this case\n",
    "# Here, SVS and lstsq are used to correct observed model to design model\n",
    "\n",
    "# Another option would be to fit design model to reproduce observed orbit distortion\n",
    "# Having obtained corrector setting that reproduce observer behaviour, they can be applied to observed model with flipped signs\n",
    "# New observation can be then performed followed by next correction iteration if necessary\n",
    "# Again, global SVD style correction can be performed in this case\n",
    "# We also perform ML style optimization loop including mini-batch version"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5d894da4-3df4-4aaa-8d93-6c9d2f5a575e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import\n",
    "\n",
    "from pprint import pprint\n",
    "\n",
    "import torch\n",
    "from torch.utils.data import TensorDataset\n",
    "from torch.utils.data import DataLoader\n",
    "\n",
    "from pathlib import Path\n",
    "from matplotlib import pyplot as plt\n",
    "\n",
    "from twiss import twiss\n",
    "\n",
    "from model.library.corrector import Corrector\n",
    "from model.library.line import Line\n",
    "\n",
    "from model.command.util import chop\n",
    "\n",
    "from model.command.external import load_sdds\n",
    "from model.command.external import load_lattice\n",
    "\n",
    "from model.command.build import build\n",
    "\n",
    "from model.command.wrapper import group\n",
    "from model.command.wrapper import forward\n",
    "from model.command.wrapper import inverse\n",
    "from model.command.wrapper import normalize\n",
    "from model.command.wrapper import Wrapper\n",
    "\n",
    "from model.command.orbit import orbit\n",
    "from model.command.orbit import ORM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "34d730cc-93ad-44d2-b11f-b9648f562f81",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load ELEGANT twiss\n",
    "\n",
    "path = Path('ic.twiss')\n",
    "parameters, columns = load_sdds(path)\n",
    "\n",
    "nu_qx:float = parameters['nux'] % 1\n",
    "nu_qy:float = parameters['nuy'] % 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "afcce05c-4ff1-486b-9d4b-87a4b07508a9",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Build and setup lattice\n",
    "\n",
    "# Quadrupoles are splitted into 2**2 parts, Dipoles -- 2**4 part\n",
    "# Correctors are inserted between parts\n",
    "\n",
    "path = Path('ic.lte')\n",
    "data = load_lattice(path)\n",
    "\n",
    "ring:Line = build('RING', 'ELEGANT', data)\n",
    "ring.propagate = True\n",
    "ring.flatten()\n",
    "ring.merge()\n",
    "ring.split((None, ['BPM'], None, None))\n",
    "ring.roll(1)\n",
    "\n",
    "n_q = 2**2\n",
    "n_d = 2**4\n",
    "\n",
    "for name in [name for name, kind, *_ in ring.layout() if kind == 'Quadrupole']:\n",
    "    corrector = Corrector(f'{name}_CXY', factor=1/(n_q - 1))\n",
    "    ring.split((n_q, None, [name], None), paste=[corrector]) \n",
    "    \n",
    "for name in [name for name, kind, *_ in ring.layout() if kind == 'Dipole']:\n",
    "    corrector = Corrector(f'{name}_CXY', factor=1/(n_d - 1))\n",
    "    ring.split((n_d, None, [name], None), paste=[corrector])\n",
    "\n",
    "for element in ring:\n",
    "    if element.__class__.__name__ == 'Dipole':\n",
    "        element.linear = True\n",
    "    \n",
    "ring.splice()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "492c62de-47e3-4636-88b6-b41f684e2445",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(1.4433e-15, dtype=torch.float64)\n",
      "tensor(-9.9920e-16, dtype=torch.float64)\n"
     ]
    }
   ],
   "source": [
    "# Compare linear tunes\n",
    "\n",
    "state = torch.tensor(4*[0.0], dtype=torch.float64)\n",
    "matrix = torch.func.jacrev(ring)(state)\n",
    "(nuqx, nuqy), *_ = twiss(matrix)\n",
    "\n",
    "print(nu_qx - nuqx)\n",
    "print(nu_qy - nuqy)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "7b1d065f-280f-4324-881b-3350ed548f80",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([0., 0., 0., 0.], dtype=torch.float64)\n"
     ]
    }
   ],
   "source": [
    "# Compute closed orbit\n",
    "\n",
    "fp = 1.0E-3*torch.randn(4, dtype=torch.float64)\n",
    "fp, *_ = orbit(ring, fp, [], alignment=False, limit=8, epsilon=1.0E-12)\n",
    "\n",
    "# Chop small values\n",
    "\n",
    "fp = [fp]\n",
    "chop(fp)\n",
    "fp, *_ = fp\n",
    "\n",
    "print(fp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "effb5684-f92d-4dc1-90a6-6b663fde5c8e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "torch.Size([32, 72])\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 850x1800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compute ORM\n",
    "\n",
    "orm = ORM(ring, fp, [], limit=1, start=0, epsilon=None)\n",
    "print(orm.shape)\n",
    "\n",
    "data = orm.clone()\n",
    "data[data==0.0] = torch.nan\n",
    "\n",
    "plt.figure(figsize=(34/4, 72/4))\n",
    "img = plt.imshow(data.cpu().numpy(), cmap='magma', interpolation='nearest')\n",
    "cax = plt.gcf().add_axes([plt.gca().get_position().x1 + 0.01, plt.gca().get_position().y0, 0.02, plt.gca().get_position().height])\n",
    "plt.colorbar(img, cax=cax)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1393335f-5226-4e82-8293-ab7154b50101",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(0.0034, dtype=torch.float64)\n",
      "tensor(0.0009, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(5.3507e-05, dtype=torch.float64)\n",
      "tensor(1.3377e-05, dtype=torch.float64)\n",
      "tensor(3.3442e-06, dtype=torch.float64)\n",
      "tensor(8.3604e-07, dtype=torch.float64)\n",
      "tensor(2.0901e-07, dtype=torch.float64)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(0.0003, dtype=torch.float64)\n",
      "tensor(0.0003, dtype=torch.float64)\n"
     ]
    }
   ],
   "source": [
    "# Usually, given the goal and observed orbit, corrector settings can be adjusted to reproduce the goal obit\n",
    "\n",
    "# Set number of correctors\n",
    "\n",
    "nc = ring.describe['Corrector']\n",
    "\n",
    "# Set random errors\n",
    "\n",
    "error_cx = 100.0E-6*torch.randn(nc, dtype=torch.float64)\n",
    "error_cy = 100.0E-6*torch.randn(nc, dtype=torch.float64)\n",
    "\n",
    "# Set first half to zero\n",
    "\n",
    "error_cx[:nc//2] = 0.0\n",
    "error_cy[:nc//2] = 0.0\n",
    "\n",
    "# Set number of BPMs\n",
    "\n",
    "nb = ring.describe['BPM']\n",
    "\n",
    "# Set target orbit\n",
    "\n",
    "qx_target = torch.zeros(nb, dtype=torch.float64)\n",
    "qy_target = torch.zeros(nb, dtype=torch.float64)\n",
    "\n",
    "# Correction loop (svd based)\n",
    "# Find change in corrector settings\n",
    "\n",
    "lr = 0.75\n",
    "\n",
    "cx = torch.zeros_like(error_cx)\n",
    "cy = torch.zeros_like(error_cy)\n",
    "\n",
    "for _ in range(8):\n",
    "    points, *_ = orbit(ring, fp, [cx + error_cx, cy + error_cx], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=8, epsilon=1.0E-6)\n",
    "    qx, _, qy, _ = points.T\n",
    "    dcx, dcy = - lr*(torch.linalg.pinv(orm) @ torch.cat([qx - qx_target, qy - qy_target])).reshape(1 + 1, -1)\n",
    "    cx += dcx\n",
    "    cy += dcy\n",
    "    print(torch.cat([qx - qx_target, qy - qy_target]).norm())\n",
    "\n",
    "# Plot final corrector settings\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cx)), -error_cx.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cx)), +cx.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cy)), -error_cy.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cy)), +cy.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(cx.norm())\n",
    "print(cy.norm())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "9d191c69-b9c7-4f60-955c-7c85976bc3a3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(0.0034, dtype=torch.float64)\n",
      "tensor(0.0009, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(5.3507e-05, dtype=torch.float64)\n",
      "tensor(1.3377e-05, dtype=torch.float64)\n",
      "tensor(3.3442e-06, dtype=torch.float64)\n",
      "tensor(8.3604e-07, dtype=torch.float64)\n",
      "tensor(2.0901e-07, dtype=torch.float64)\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(0.0003, dtype=torch.float64)\n",
      "tensor(0.0003, dtype=torch.float64)\n"
     ]
    }
   ],
   "source": [
    "# Same as above but using lstsq insted of explicit pseudo inverse computation\n",
    "\n",
    "lr = 0.75\n",
    "\n",
    "cx = torch.zeros_like(error_cx)\n",
    "cy = torch.zeros_like(error_cy)\n",
    "\n",
    "for _ in range(8):\n",
    "    points, *_ = orbit(ring, fp, [cx + error_cx, cy + error_cx], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=8, epsilon=1.0E-6)\n",
    "    qx, _, qy, _ = points.T\n",
    "    dcx, dcy = - lr*torch.linalg.lstsq(orm, torch.stack([qx - qx_target, qy - qy_target]).flatten(), driver='gelsd').solution.reshape(1 + 1, -1)\n",
    "    cx += dcx\n",
    "    cy += dcy\n",
    "    print(torch.cat([qx - qx_target, qy - qy_target]).norm())\n",
    "\n",
    "# Plot final corrector settings\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cx)), -error_cx.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cx)), +cx.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cy)), -error_cy.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cy)), +cy.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(cx.norm())\n",
    "print(cy.norm())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "3dcba5c3-f3d3-4cb7-b26f-c3e7f0adae54",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([-4.2773e-04,  9.6366e-04,  4.1688e-06, -7.8074e-05],\n",
      "       dtype=torch.float64)\n",
      "tensor([-4.2773e-04,  9.6366e-04,  4.1688e-06, -7.8074e-05],\n",
      "       dtype=torch.float64)\n",
      "True\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Assume the lattice has accidental non-zero correction settings, which results in closed orbit distortion\n",
    "# Given a measured orbit at all BPMs, our goal is to adjust model to match the observed orbit (fit model to experiment)\n",
    "# Such arrangement of correction settings in the model is not necessarily unique\n",
    "\n",
    "# Set number of correctors\n",
    "\n",
    "nc = ring.describe['Corrector']\n",
    "\n",
    "# Set random errors\n",
    "\n",
    "error_cx = 100.0E-6*torch.randn(nc, dtype=torch.float64)\n",
    "error_cy = 100.0E-6*torch.randn(nc, dtype=torch.float64)\n",
    "\n",
    "# Set first half to zero\n",
    "\n",
    "error_cx[:nc//2] = 0.0\n",
    "error_cy[:nc//2] = 0.0\n",
    "\n",
    "# Compute closed orbit with errors\n",
    "\n",
    "points, *_ = orbit(ring, fp, [error_cx, error_cy], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=8, epsilon=1.0E-6)\n",
    "\n",
    "# Set wrapper\n",
    "\n",
    "start, *_, end = ring.names\n",
    "mapping, *_ = group(ring, start, end, ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False)\n",
    "\n",
    "# Propagate estimated closed orbit\n",
    "\n",
    "point, *_ = points\n",
    "print(point)\n",
    "print(mapping(point, error_cx, error_cy))\n",
    "print(torch.allclose(point, mapping(point, error_cx, error_cy), rtol=1.0E-12, atol=1.0E-12))\n",
    "print()\n",
    "\n",
    "# Set observed orbit\n",
    "\n",
    "qx_target, _, qy_target, _ = points.T\n",
    "\n",
    "# Plot observed orbit\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "df644593-1285-42ca-9e31-7d810575d729",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(0.0021, dtype=torch.float64)\n",
      "tensor(0.0005, dtype=torch.float64)\n",
      "tensor(0.0001, dtype=torch.float64)\n",
      "tensor(3.2555e-05, dtype=torch.float64)\n",
      "tensor(8.1539e-06, dtype=torch.float64)\n",
      "tensor(2.0432e-06, dtype=torch.float64)\n",
      "tensor(5.1223e-07, dtype=torch.float64)\n",
      "tensor(1.2849e-07, dtype=torch.float64)\n"
     ]
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Correct model to experiment using ORM and lstsq fit\n",
    "\n",
    "lr = 0.75\n",
    "\n",
    "cx = torch.zeros_like(error_cx)\n",
    "cy = torch.zeros_like(error_cy)\n",
    "\n",
    "for _ in range(8):\n",
    "    points, *_ = orbit(ring, fp, [cx, cy], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=8, epsilon=1.0E-6)\n",
    "    qx, _, qy, _ = points.T\n",
    "    dcx, dcy = - lr*torch.linalg.lstsq(orm, torch.stack([qx - qx_target, qy - qy_target]).flatten(), driver='gelsd').solution.reshape(1 + 1, -1)\n",
    "    cx += dcx\n",
    "    cy += dcy\n",
    "    print(torch.cat([qx - qx_target, qy - qy_target]).norm())\n",
    "\n",
    "# Plot final corrector settings\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cx)), error_cx.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cx)), +cx.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cy)), error_cy.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cy)), +cy.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Plot orbits\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "e0295d7e-f4be-4203-a019-26aee509a30b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Apply negative fitted correstor settings and compute orbit\n",
    "\n",
    "points, *_ = orbit(ring, fp, [error_cx - cx, error_cy - cy], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=8, epsilon=1.0E-6)\n",
    "qx, _, qy, _ = points.T\n",
    "\n",
    "# Plot corrected orbit\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "ae46f6a5-4d4d-4884-a6cb-459906452862",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor(1.2776e-17, dtype=torch.float64)\n",
      "tensor(1.2868e-17, dtype=torch.float64)\n",
      "tensor(0.0021, dtype=torch.float64)\n",
      "tensor(0.0022, dtype=torch.float64)\n",
      "tensor(0.0015, dtype=torch.float64)\n",
      "tensor(0.0017, dtype=torch.float64)\n",
      "tensor(0.0017, dtype=torch.float64)\n",
      "tensor(0.0012, dtype=torch.float64)\n",
      "tensor(0.0008, dtype=torch.float64)\n",
      "tensor(0.0012, dtype=torch.float64)\n",
      "tensor(0.0012, dtype=torch.float64)\n",
      "tensor(0.0009, dtype=torch.float64)\n",
      "tensor(0.0006, dtype=torch.float64)\n",
      "tensor(0.0008, dtype=torch.float64)\n",
      "tensor(0.0009, dtype=torch.float64)\n",
      "tensor(0.0007, dtype=torch.float64)\n",
      "tensor(0.0005, dtype=torch.float64)\n",
      "tensor(0.0007, dtype=torch.float64)\n",
      "tensor(0.0008, dtype=torch.float64)\n",
      "tensor(0.0006, dtype=torch.float64)\n",
      "tensor(0.0005, dtype=torch.float64)\n",
      "tensor(0.0006, dtype=torch.float64)\n",
      "tensor(0.0005, dtype=torch.float64)\n",
      "tensor(0.0004, dtype=torch.float64)\n",
      "tensor(0.0004, dtype=torch.float64)\n",
      "tensor(0.0005, dtype=torch.float64)\n",
      "tensor(0.0003, dtype=torch.float64)\n",
      "tensor(0.0004, dtype=torch.float64)\n",
      "tensor(0.0004, dtype=torch.float64)\n",
      "tensor(0.0003, dtype=torch.float64)\n",
      "tensor(0.0004, dtype=torch.float64)\n",
      "tensor(0.0004, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0003, dtype=torch.float64)\n",
      "tensor(0.0003, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0003, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0003, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0001, dtype=torch.float64)\n",
      "tensor(0.0001, dtype=torch.float64)\n",
      "tensor(0.0003, dtype=torch.float64)\n",
      "tensor(0.0001, dtype=torch.float64)\n",
      "tensor(0.0003, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0003, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0001, dtype=torch.float64)\n",
      "tensor(0.0003, dtype=torch.float64)\n",
      "tensor(0.0003, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0001, dtype=torch.float64)\n",
      "tensor(0.0003, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0001, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n",
      "tensor(0.0002, dtype=torch.float64)\n"
     ]
    }
   ],
   "source": [
    "# ML style correction (full orbit)\n",
    "# Find corrector setting to reproduce observed orbit, apply with negative sign (and some weight) and repeat for new observation\n",
    "\n",
    "# Setup function to compute orbit at all BPMs for given corrector settings\n",
    "\n",
    "def qxqy(cx, cy):\n",
    "    points, _ = orbit(ring, fp, [cx, cy], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), advance=True, full=False, alignment=False, limit=8, epsilon=1.0E-6)    \n",
    "    qx, _, qy, _ = points.T\n",
    "    return torch.stack([qx, qy])\n",
    "\n",
    "# Setup objective function\n",
    "\n",
    "def objective(cx, cy):\n",
    "    qx, qy = qxqy(cx, cy)\n",
    "    return ((qx - qx_target)**2 + (qy - qy_target)**2).sum().sqrt()\n",
    "\n",
    "# Set initial corrector settings (can also set some random values)\n",
    "\n",
    "cx = torch.zeros_like(error_cx)\n",
    "cy = torch.zeros_like(error_cy)\n",
    "\n",
    "# Test objective function\n",
    "\n",
    "print(objective(error_cx, error_cy))\n",
    "\n",
    "# Setup normalized objective\n",
    "\n",
    "objective = normalize(objective, [(-150*1E-6, 150*1E-6), (-150*1E-6, 150*1E-6)])\n",
    "\n",
    "# Test normalized objective\n",
    "\n",
    "print(objective(*forward([error_cx, error_cy],[(-150*1E-6, 150*1E-6), (-150*1E-6, 150*1E-6)])))\n",
    "\n",
    "# Normalize initial corrector settings\n",
    "\n",
    "cx, cy, *_ = forward([cx, cy], [(-150*1E-6, 150*1E-6), (-150*1E-6, 150*1E-6)])\n",
    "\n",
    "# Set model (forward returns evaluated objective)\n",
    "\n",
    "model = Wrapper(objective, cx, cy)\n",
    "\n",
    "# Set optimizer\n",
    "\n",
    "optimizer = torch.optim.AdamW(model.parameters(), lr=0.05)\n",
    "\n",
    "# Perform optimization\n",
    "\n",
    "for epoch in range(128):\n",
    "    error = model()\n",
    "    error.backward()\n",
    "    optimizer.step()\n",
    "    optimizer.zero_grad()\n",
    "    print(error.detach())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "854b1655-56d5-4d07-a04a-2f38be8451a0",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Renormalize output and compute orbit\n",
    "\n",
    "cx_out, cy_out = inverse([cx, cy],[(-150*1E-6, 150*1E-6), (-150*1E-6, 150*1E-6)])\n",
    "\n",
    "points, *_ = orbit(ring, fp, [cx_out, cy_out], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=8, epsilon=1.0E-6)\n",
    "qx, _, qy, _ = points.T\n",
    "\n",
    "# Plot final corrector settings\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cx)), error_cx.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cx)), +cx_out.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cy)), error_cy.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cy)), +cy_out.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Plot orbits\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "57223934-efe4-474c-ac97-99329f924fa7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Apply negative fitted correstor settings and compute orbit\n",
    "\n",
    "points, *_ = orbit(ring, fp, [error_cx - cx_out, error_cy - cy_out], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=8, epsilon=1.0E-6)\n",
    "qx, _, qy, _ = points.T\n",
    "\n",
    "# Plot corrected orbit\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "057d1831-a4cd-4d53-8a03-99b627b213ff",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[-4.2773e-04,  4.1688e-06],\n",
      "        [ 6.2837e-04, -1.2416e-04]], dtype=torch.float64)\n",
      "tensor([[-4.2773e-04,  4.1688e-06],\n",
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      "tensor(1.6040e-10, dtype=torch.float64)\n",
      "tensor(7.4035e-11, dtype=torch.float64)\n",
      "tensor(1.0228e-10, dtype=torch.float64)\n"
     ]
    }
   ],
   "source": [
    "# ML style correction (batched orbit)\n",
    "# Find corrector setting to reproduce observed orbit, apply with negative sign (and some weight) and repeat for new observation\n",
    "\n",
    "# Setup function to compute orbit at selected BPMs for given corrector settings\n",
    "\n",
    "# This function computes closed orbit at given locations by changing lattice start\n",
    "\n",
    "def qxqy(starts, cx, cy):\n",
    "    points = []\n",
    "    for start in starts:\n",
    "        point, _ = orbit(ring, fp, [cx, cy], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), start=int(start), advance=False, full=False, alignment=False, limit=8, epsilon=1.0E-6)    \n",
    "        points.append(point)\n",
    "    qx, _, qy, _ = torch.stack(points).T\n",
    "    return torch.stack([qx, qy]).T\n",
    "\n",
    "# In fact it is faster to computer the whole orbit and select a subset\n",
    "\n",
    "def qxqy(starts, cx, cy):\n",
    "    points, _ = orbit(ring, fp, [cx, cy], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), advance=True, full=False, alignment=False, limit=8, epsilon=1.0E-6)    \n",
    "    qx, _, qy, _ = points.T\n",
    "    return torch.stack([qx, qy]).T[starts]\n",
    "\n",
    "# Set initial corrector settings (can also set some random values)\n",
    "\n",
    "cx = torch.zeros_like(error_cx)\n",
    "cy = torch.zeros_like(error_cy)\n",
    "\n",
    "# Test objective function\n",
    "\n",
    "print(qxqy([0, 1], error_cx, error_cy))\n",
    "\n",
    "# Normalize objective\n",
    "\n",
    "qxqy = normalize(qxqy, [(None, None), (-150*1E-6, 150*1E-6), (-150*1E-6, 150*1E-6)])\n",
    "\n",
    "# Test normalized objective\n",
    "\n",
    "print(qxqy(*forward([[0, 1], error_cx, error_cy], [(None, None),(-150*1E-6, 150*1E-6), (-150*1E-6, 150*1E-6)])))\n",
    "\n",
    "# Normalize initial corrector settings\n",
    "\n",
    "cx, cy, *_ = forward([cx, cy], [(-150*1E-6, 150*1E-6), (-150*1E-6, 150*1E-6)])\n",
    "\n",
    "# Set model (forward returns evaluated objective)\n",
    "\n",
    "model = Wrapper(qxqy, cx, cy)\n",
    "\n",
    "# Test model\n",
    "\n",
    "print(model(*forward([[0, 1], error_cx, error_cy], [(None, None), (-150*1E-6, 150*1E-6), (-150*1E-6, 150*1E-6)])))\n",
    "\n",
    "# Set optimizer\n",
    "\n",
    "optimizer = torch.optim.AdamW(model.parameters(), lr=0.05)\n",
    "\n",
    "# Set features and labels\n",
    "\n",
    "X = torch.arange(nb)\n",
    "y = torch.stack([qx_target, qy_target]).T\n",
    "\n",
    "# Set dataset\n",
    "\n",
    "batch_size = 8\n",
    "dataset = TensorDataset(X.clone(), y.clone())\n",
    "dataloader = DataLoader(dataset, batch_size=batch_size, shuffle=True)\n",
    "\n",
    "# Set loss funtion\n",
    "\n",
    "lf = torch.nn.MSELoss()\n",
    "\n",
    "# Perfom optimization\n",
    "\n",
    "for epoch in range(128):\n",
    "    for batch, (X, y) in enumerate(dataloader):\n",
    "        y_hat = model(X)\n",
    "        error = lf(y_hat, y.squeeze())\n",
    "        error.backward()\n",
    "        optimizer.step()\n",
    "        optimizer.zero_grad()\n",
    "    print(error.detach())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "357fabf5-7a53-40f7-9ff1-4028dd09dc1a",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Renormalize output and compute orbit\n",
    "\n",
    "cx_out, cy_out = inverse([cx, cy],[(-150*1E-6, 150*1E-6), (-150*1E-6, 150*1E-6)])\n",
    "\n",
    "points, *_ = orbit(ring, fp, [cx_out, cy_out], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=8, epsilon=1.0E-6)\n",
    "qx, _, qy, _ = points.T\n",
    "\n",
    "# Plot final corrector settings\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cx)), error_cx.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cx)), +cx_out.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cy)), error_cy.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cy)), +cy_out.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Plot orbits\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "b0e41f5a-196a-4762-974e-f674a8a1fd38",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Apply negative fitted correstor settings and compute orbit\n",
    "\n",
    "points, *_ = orbit(ring, fp, [error_cx - cx_out, error_cy - cy_out], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=16, epsilon=1.0E-6)\n",
    "qx, _, qy, _ = points.T\n",
    "\n",
    "# Plot corrected orbit\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "331a253a-1d75-425e-9444-7476cd4ed2cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "# In most cases, global correction will change a large number of correctors\n",
    "# If the goal is to change just sevaral correctors\n",
    "# It is possible to solve linear system using Lasso or OrthogonalMatchingPursuit or Lars\n",
    "# Or other sparse solver\n",
    "\n",
    "from sklearn.linear_model import Lasso\n",
    "from sklearn.linear_model import OrthogonalMatchingPursuit\n",
    "from sklearn.linear_model import Lars"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "ac4801a2-49a8-401e-a8bd-17aad04e8d42",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Convert data to numpy\n",
    "\n",
    "X = orm.cpu().numpy()\n",
    "y = torch.stack([qx - qx_target, qy - qy_target]).flatten().cpu().numpy()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "fc46f931-0dd7-478c-912d-5c5991be0e74",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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1fz81cg7A0gOYln3K4iodcbk/kuaPN6d6TbWjqxZ3EZmpcQtkpoYQQoi7ickEffrYg4th5mjigqNYF3QtuOhhiKVnajQLdFEkRuhZterKqFMhhBCigkuaEEv29GgWuUSx7QaDAtqfjGVwcTQ+46IIf0cGBQghxK3KO3yOY49ORnsuGQUVFzoPo2vscNw8NY4uTdwCJS2dlOj15P6wFuvp81ht9uO52sqkNOhO5Ud70m5wDby9HVuncByZqSGEEEKI6yQkQHKyfYaGXzb0NEQDsC5Ibw80DPagY5uPnozTsGkTdO/u0JKFEEIIhzOZ7DM0mrjAMHM0ftlcNyigf3YsPc3RLHCJInGHnlUmGRQghBC34swX68ie9DHaYiOFOh9sr79B33EtZZmickAVGEC114bCq49iOnicc1/EYV4bj+pSJl6JiyBxEVverkNO20hqjuxC6x4+6HSOrlqURRJqCCGEEBXE1q325TJcXCAuQI8lK5dHkqbQ9+QnGJ08WVXlcTYE6XEBzGbYskVCDSGEEOJGgwJMJljhq+eB/Fh6psmgACGEuB2UomISR32KsiYOBTAENaPeN28Q2rKyo0sTt5tKhVOTeoTNrAfmZ8lbv4OUeWthxw6qFJygSvwJbPGzWOrXBiWyJ40eb0uDpjoJtkQJCTWEEEKICiInx77+d0GWkTanF9GuaCX+tjRUKNiK1LieO07g5Q2cCmwPuJKT4+iKhRBCCMf7/aCAtYF6bJeyGHX6TZ44/TpFKjdWuz3IT+Z+2Ez2WR0yKEAIIf69vINnODH0LdTnz6Kg4nyXEXSfPww3D9lnodzT6fDs3ZH6vTtCdjbpi+K59N06bEePE35pG3y7jexFniyo0QWvhyJpra9HcIikGxWd7KlxC2RPDSGEEHeT58YqJH29mScss/FX0ghUDHir8lCh4GwtxKAKIl0dhBFnttOO1HpdeHBaG9p3drpu7XAhhBCiInn+eVi+HKpWBb8T2xid9X+0sm5HhYKCikOapgBcUFVjv9KUS1Wa0u6pJtTpEECTJsi64EII8XcUhbNz1nD57RkoxUbynSqjvPEmHcdGyKj8Cs6WfIbz89ZRtGwdxtRMbFf238hwroahaSRBj3Wn/YAAPDwcW6e4vW62v11CjVsgoYYQQoi7QV4e/PRhMupZM6metQ+1Crx0hbhpTPxQdRzrgofz0LmP6HPxS7JUlSiwOGO1gpsrWJ3dOFK5I3TpQv2hzWnVTotW5nkKIYSoQCZOhHlf2XgwP4ZBRd8QYDPgo8kjxzkQV0suaepgzDYtNquCxWLfT8PFFbKcgjnl3oS8Wk3x6tiU2h2CaRqhorKsoiKEEAAoBYUcHPUJtrW/oAAXg1vS4Ns3CG3m4+jSRFlis1G8bS/nv16HLWEzhdlGABRUnPaKoOjeSMJH3UuLDq7yXrUckFCjFEioIYQQoiyz2WDtD3lceGcezVN+RqUo5JmcSFFVo4EuiTXBo67b6LSHIZaeqdHEqXuhq+TFQO94ilMyMJns5ws1XhwL7IRTzy40GdaEJhFqGT0lhBCi3PtwUh7q996hpbKbIAy46CwsrPE/1gZH2Z87DdFs8B/MCafGBKQe4ME6iVTKPEFBno3i4mvXydH5ccq9KTk1muDWrim1OlenSVMVQUGOuzchhHCUvP2nODnsLbiQgoKas91GERkzBDd3eYMh/kZhIdkrNpM2fy22fftLnmfNKmeOB3fCqW8kzUdGEFZH3qverSTUKAUSagghhCirDiXa2PTSCiL2fo2bNQ8XF/Dudy/F7pXJ/Gopi1yi2Bamv25ZqeJiaH8ylsHF0fiMiyL87cdQDh4ibVE8BasSKLyYjcVib5urrczJavfh3q8LLYbWIyxcJS8ahRBClCsWCyx46yRVv5iI8+VUKtku4eSq4Ydq4284KGCBLorECD2rVoGTpRAOH6ZwxwGyEw5gPXyMwlwLhUXXrl+g8SbZowkZVSJwa9uEap1qEdFcTZUqyHOqEKL8UhTOfb6Cy+/OxGY0k+vsD29O4N5nG8vfPvGvKIY00r5ZR86SdZhOp5S8V83R+XM6rDuVhkTSfnB1/P0dW6f4dyTUKAUSagghhChrMjNh6VsHCPlhBsHFyWjU4NU0lKpTx6I9ehCio0nqEMUzO/ScPg1ms33zcJsNdDoIDYVZbWMJ3xoNUVGgv9JpY7Vi3bOf1G/jKV6/mcK0fKxX1jTNcgribK0u+AzqSutHQqlaTd6NCCGEuLtlZsJ3Uetos/UjtIqJyu7FZF9WmO/2zD8PCnhH/+cLGo1w5AjFuxK5nHAAS+JhirJNFBbC1TfkRRoPTrs3Ji2wCc6tm1L1vnAaN9MSGiohhxCifFDyCzgc9SGWXxJQgJQqbWn4zWvUaiabD4lboChYEo+QMm8dprh4CjPyudrbfd6tHpktI6k+ogvte3rh6urYUsU/k1CjFEioIYQQoqwwm2HF1+kUfDSbRpcSAPAM8ST49Sjch/QHjQZiYuwJhl6PyQSbNsGWLZCTY9/EtGNH6NTJvhY4sbH2pGPEiBv+MPO23Vz4Jh7zpl8pzCzGduXVRJpzDVIbdMH/4S60e6iqrBsuhBDirnNwn4XdIz6n2bllaNRQtZ47lTS5JHV6/N8PCvgrFgscP45p136yEhKx7DtIUVYRBYWUdMSY1C6cdm/ERb+m6Fo0IbhLfZq00FG7tv1pXQgh7ib5e09w8rHJKBcvYkPDmR5P0mveQ7LclLi9TCYK47dzMXodtm07KMi3j8SzqrQc922HrVsPGoxsS7NWWtRqB9cqbkhCjVIgoYYQQoiyYOdmI/teW0zzYwvRKUbc3FX46vsT8GqUPa24k4xGijdu58I38Vh/3UFhjrlkxOkF13CymnUheMh9tL0/EE/PO1uKEEIIcSsUBVZ/k4n5jUnUyD+MiwsEvTIcXx/FniLc6qCAv2O1wsmTmPcmkhW/H9Oegxgv5VGQT8nAAYtKx1m3Bpyv1BRN86YEdG5A41Yu1K2LbIwqhCi7FIVzny4l+/3ZWI0WcpwDYeJEOo1uILPQxJ2Vnc3lHzaQsWAtlmNJGO37i1Oo8eJ41a64DYykrb4ONUPlH2JZIqFGKZBQQwghhCOdP6ew+vUthK+fha85DZ0WPDs0ofoHY1GFh5V+QYWF5Mdt5eKCeJTdv1GYby05dc6jIfmtu1Dtsc607lnpumU7hBBCCEczGuGblxOp891kPC1ZuAe4U2PuGzh3bueYghQFTp/GuvcAWQmJGHfux5ieTUE+Jcs/2tBw3q0uZ32aojRpiv99jWjY2p369cHZ2TFlCyHE7ym5eRyJmoY5fgsKcLZqBxp/8wq1I2S0kyhdyqlkUmPXU7BsPUUXMrFeeaua5lyD8w0iCRzajY4P+OPr69g6hYQapUJCDSGEEI5QWAjLPk7G6cuZ1M7dh0oFnrUCqPLO07j07Fw2Ft7OyeHy8i2kfRePsn8/xUX2lxsKKs54R2Du2IVaI+6lWScvGV0qhBDCoQypCkv1S2n92yw0WPGOCKXmN++gqlrF0aVdoyiQkoJt3wGyEg5QvOMA5osZ5BdQsjGqgoqLrmGc9mqKtVFTfO9tTIN23jRsCG5uji1fCFHx5O8+SvLwyVhT07CqtCT3GE3frwfKclPCsaxWLLv2kvL1Wswbt1CQZULB/hx60rM5ee0jCR/ZkbadXewzMEWpk1CjFEioIYQQojQpCsT/nMeZSdE0O7cMFQruPk74jRlMpTGPlt1hmZmZpC1OIHNJPMqRI5hM9sM2NJz2a4WqaxfqRN1Do9ZuZSKPEUIIUXHs2Wbk6MhpNEzbgFYLlR/uSshHL1HmpxQqChgMKAcSyd50gPxtB7Ceu0h+gX2/j6sMLjVJ9myKqV5TfO5tQt32lWncGFkSUghx5ygK5z9eQvYHX2AxWbnsEgwTJ3Hf03Xltb4oWwoLKViVgGH+Wiz7EikstB82ql05GtAJba8eNB0eQeMmKvm3W4ok1CgFEmoIIYQoLceO2Nj00goa7ZqHmzUXZ2fw6nMvVf9vNAQFObq8m6ZcTOXCtwnkLI3HlnSyZHSpReXEmeC2OPfsQoORbandwFleOAohhLhjFAWWzbqI8/9NILgoGVd3NcGTR+M9clDZmPH4X1y6hLL/ADlbE8n/9QDW5LPk51MymAAgw7kqpz2aUBDWFK+OTanTMZAmTcDH5yauHxNj3x39yt4iCQmwdeu1vUU6dIDOnW9xbxEhxF1Nycnl2Ij3MSZsRwFOV+9M029eonYTd0eXJsTfS00lc9F6Li9ai/H0RUxXBghk6wJICu2B98ORdBhclSplaBJneSWhRimQUEMIIcSdlp0Ny95OxH/RDEKKTqFWg2fjmlT74Dl0rZs5urxbYj19jnMx8RSsjMd25nzJGuFGtSsp1e/BrV9Xmo5qSZUasj6VEEKI26ewEBaM3Umjn9/F1ZqPe1VfQmPeQteiiaNLu72ys+HgQfK27CdnayK2E6fIz1dKNkoFe2fNSY8I8kKb4HFPU2rfW4UmTVX4+9/gerGxEB1NUocontmhJznZvvSVWm3PL7RaqFULZrWNJXxrNERFgV5fWncrhHCw/B2HOB31NhZDBhaVjlM9n6X/l/1luSlxd1EUlEOHuRi9luI1G8lPL8B25X3qWbcGpDXtQVV9F+7t4ymzHu+QMhNqfP7550ybNg2DwUDTpk357LPPaN269V+2X7JkCRMmTODMmTOEh4czdepUevfuXXJeURQmTZrEl19+SXZ2Nvfccw+zZ88mPDy8pE1WVhZjx45lxYoVqNVqBg0axKeffoqHhwcAxcXFPP300+zZs4ejR4/St29fli1b9q/vTUINIYQQd4rFAqtj0sn9YA4NMzYC4BHkQdDrI/Ec2h80GgdXeBspCqajpzgbHY9xTTyWi2lcfXVSqPHEEH4v3gO70Cwqgsr+asfWKoQQ4q52/pzCmkdjaXl4PmqVgk+7BtScPxn8/Bxd2p2XlweHDlGwPZHsTfuxHT1BQZ6NouLfNdFW4pRHE7KqReDergk1O9ekaYSKoCD7BJakCbFkT49mkUsU28L0163SVVwM7U/GMrg4Gp9xUYS/I4GGEBWCopAy7Tsuf/Q1FpONTNeqqCZNosuTYXftxDchADAaMW3azsV5cVi27yYv155uWFVajvq0x9g5kvrDW9PmHq3sE3kblYlQY/Hixej1eubMmUObNm2YPn06S5Ys4fjx4wQEBPyp/bZt27j33nuZMmUKffv2ZeHChUydOpW9e/fSqFEjAKZOncqUKVOYP38+oaGhTJgwgYMHD3LkyBFcrryi6tWrF6mpqcydOxez2UxUVBStWrVi4cKFABQUFPDSSy/RvHlzfvzxR1xcXCTUEEIIUWbs2WZkz6uLiTi8EJ1ixNVNhc+wfgT9b6R9fYfyTFEo2nuUM/PisazfiDUji6svVPK1vmQ0ug+/h7vQbGgDPL3kXZIQQoibt21dPuefeY86mdvR6cBv5P0EvTuGCtsTUVQEhw9TvPMAWQmJWA8doTDHQmHRtSaFGi9OeTQhI7gJupYRRG+uTeeUBeit0cQFR7Eu6Fpw0cMQS8/UaBbookiM0LNqFbLJqhDlnHI5m+PD36N4y24U4FSNrjT7Zjy1G7s5ujQhbq+sLPKWbSBjwVpMx05RdOW5Ml/rw5Hgrrj0j6TN0DDq1pP9N25VmQg12rRpQ6tWrZg5cyYANpuNatWqMXbsWF577bU/tX/kkUcoKChg5cqVJcfatm1LREQEc+bMQVEUQkJCePHFF3nppZcAyMnJITAwkJiYGAYPHszRo0dp0KABu3fvpmXLlgDExcXRu3dvUlJSCAkJue5njhgxguzsbAk1hBBCOFzqRYVVr22hVtwsfM1paLXg0a4JNT4ci7pOmKPLK302G7lbDnA2Oh42bcKSnVdyKsc5gJzmXQh6tAsRD4bh7CKvHIUQQtyYzQY/fJBMpU8mUNl0ERcvJ6p+NB7PByMdXVrZYjTCsWMYdx0gK+EAlgOHKco2Ulho34PEYoZLRW4c0zbGW51Dc9selviNZkO1KO7PiaWnIZq4oCiW++jJyIDZs6F7d0fflBDiTinYdoDTI9/BnJaJReVEUu/nGTC3lyw3Jcq/U6fIWLCWvKW/UHjhMuYr+0QaXEJJDutBwNDudHqgMjcYz3+df9yfqoJyeKhhMplwc3Pjhx9+YMCAASXHhw8fTnZ2Nj///POfHlO9enXGjx/PuHHjSo5NmjSJZcuWceDAAZKTk6lduzb79u0jIiKipE2nTp2IiIjg008/Zd68ebz44otcvny55LzFYsHFxYUlS5YwcODA637mvwk1jEYjxt8tQJqbm0u1atUk1BBCCHFLioth+aen0cz6jFq5+1AB7qH+VH13NK69Ot+9G5beThYLmev2cH5+POptW7HmF5acuuxWlcK2XajyWBca961RYQfcCiGE+LO8PPjuiQ1ErJuGTjHiXjuIWt+8jbZ++D8/uKKzWOD4ccx7EsnaeIDzqw9SmFlY8rIkwGbAX0kjHy+ynAJZXfNZ1gfbZ24kJ8Pw4fD22w6sXwhxZ9hspLy/gOxPYzCbFDJca6CePImuj4fK2xZRsVitWHf+hmH+WowbtpKXZcamgIKKE54tudw6klr6DnTs5ozb1clLMTGgVrMtTM+kSfzl/lSTJ9uXdMRmgxEjHHiTpe9mQ4079rb/0qVLWK1WAgMDrzseGBjIsWPHbvgYg8Fww/YGg6Hk/NVjf9fmj0tbabVaKlWqVNLmv5oyZQqTJ0++pWsIIYQQVykKbFmdx6k3o2l65mdU2HDz1lH52SH4jR3CdQtVV3RaLZV7t6Fy7zZgMnFx6U5Sv41Hu3sbvoUp+MbHQnwsG71qYbm3CzVGdKF+l2B5YyWEEBXYqeMWNg+dS6tTP6BWgU/3ltT4agLIgLSbo9VCw4boGjYkUD+EKc/ZOPDTKe713k/1y4mY8w4QWJCGFzm4m/LZntMA5creG2q1fdSpEKJ8UTKzODH8XYp+3YcCHK/Zk1YLnqd2Q3nfIiogjQZN+zZUad8G8vMpXpuAYf5aLPsOUTdvN2zYjXGjGwv9OmHr3pNm+sa0QE3e9GjWZMJJtZ6gIP60P9XJk7BmSCwNK0fjPS7KcfdXxslYxn/h9ddfZ/z48SXfX52pIYQQQvxbp5JsxI9fSYPtXxNhzcXJCTx630v190ajCg5ydHllm5MTIY90JOSRjigFhZxbvJ30xfHo9u3CLzcZViZjXPkV6yvXQ9WlC7Ufv4/QVn4ScAghRAWS8FMW2S9MJiI3EScnCBg3FP9XR9p728V/4uWjJlkTDgHhEPAQPVLnE3gxA9/ii7hZcvkgfTiTLTO4WL8rNlv53wZMiIqmYPMezjzxf5jSL2NWOXOi73gemNPj2gh0ISoyDw9cBvWl5qC+cPEiOUvWcXnxOgqTU2mRvga+XUPWkiA+r9KDvAsD6JUTjWtNWO+iv+4yLi7whHMs952NZo5HFC8M1lOBV6L6W3cs1PDz80Oj0ZCWlnbd8bS0NIKCbtxZExQU9Lftr35OS0sjODj4ujZXl6MKCgoiPT39umtYLBaysrL+8ufeLGdnZ5ydnW/pGkIIISq23FxY/m4ivgs+o2XRSdQqcG9Uk+ofPodTm2aOLu+uo3J3o8bIrtQY2RVrdh7J87dw+cd4nI/sxT/zGCw5RvaS2awPboIusgv1nryX4Po+ji5bCCHEHWKxwPeTDlPli0nUsGTiWsmN6nP+h1v3exxd2l2vQwf49lv7KNL+2bH0TItheZXR/BLwKG8kPkLznHgmZ41h6oF3OV9pEB07OrpiIcRtYbVyccp8sj5bgNmkkOYWivadtxgaVV0GDQlxIyEheD8/Au/nhqMkHiRjwVoKViegTTPgdSKWwiIwqjQMOPUhxtxiNtR6Ep3O/tAehlh6pkWzokoUsUY9zTfJ/lR/5Y4NU3FycqJFixZs2LCh5JjNZmPDhg20a9fuho9p167dde0B1q9fX9I+NDSUoKCg69rk5uayc+fOkjbt2rUjOzubPXv2lLSJj4/HZrPRpk2b23Z/QgghxL9htcKa+emsaP02Db98npCik7gFeFDzo7GEJXwlgcZtoPHxJPz53rTe/CH1D/+I88vPY6zTGLVKwT/1AD4xn5DafhDrIl5h65txZJ4rcHTJQgghbqOsTIXoAT9TZ/Y4vCyZeDSoQZ34ORJo3CadO9vX+W5/MpaeqfZNwdcF6bGptbzT9Ae2V+pLoGLglbw3GZT1JXXC78j2nUKIUqRkXOJEv/Gkf/QNZpPCkVp9CVs3m24jJdAQ4h+pVKiaNiFg2suE7v2JBgvfJCO0NSqVCq3KisZmZpzhNV7dNRCvIzvokRpDT4P9+XVjNT1mM2zZ4uibKLvu2EbhAIsXL2b48OHMnTuX1q1bM336dL7//nuOHTtGYGAger2eKlWqMGXKFAC2bdtGp06deP/99+nTpw+LFi3ivffeY+/evTRq1AiAqVOn8v777zN//nxCQ0OZMGECiYmJHDlyBJcri5D16tWLtLQ05syZg9lsJioqipYtW7Jw4cKS2o4cOYLJZGLixInk5eXxySefAFy3Afk/udmNS4QQQlRsibuN7HpxMU0OLUSnGHFxVeH1aD+qTBgpazOUgoLT6Zz8ciNFq+JxPnei5LhVpeVynbZ43t+Fho+3w9Nf1gIWQoi71ZF9RvbqP6Fhylo0avC5vxPVZ76CrItyeyVNiCV7ejSLXKLYFqa/fh3wIoVnDo2mX+FispyC2BoexT0/vkjtOhrHFSyE+M8KNu7i7NPvYUzPwah2Janfiwya1VX+rApxC55/HjYvzeR+919oalhLo7zt+NsMWFQ6UjwbsCZ4JOuC7EtSnTkD/fvDp586tubS5vCNwgEeeeQRMjIymDhxIgaDgYiICOLi4ko2+j537hzq361p2r59exYuXMibb77J//73P8LDw1m2bFlJoAHwyiuvUFBQwJNPPkl2djYdOnQgLi6uJNAA+PbbbxkzZgxdu3ZFrVYzaNAgZsyYcV1tvXv35uzZsyXfN2tmHyF7BzMeIYQQFUx6msLq/22l2spZtDAZ0GjAvW0Tan40Fk3dMEeXV2G4hwbQ9L1H4L1HyD6UwskvN2JZtwFnw1n8jm+FD7Zy7CNnchvdg++gLjSMao2zh87RZQshhLgJigLrY1MxvzGJhgVJOLuoCHjzKfyeeRgZRnybxcYSvjWapHFRJO7Qk3EazGb7NiU2G+h0KmLbzaGDpzuBq+bRKTmaHb2zKfhuEk1ayTLOQtw1LBYuvjuPy7O+w2SGVPcwtG9PYlhUVfmzKsQt8vaGLFVlNgU9wqbAh6lSdJJ3E/uhoMKi1pUEGoDsT/UP7uhMjfJOZmoIIYS4EZMJVs08jTLjM0Jz9gHgXsOfkHdG49G3s3SylBHpO0+T/FU8xG/AOSu15LhZ505+i3sJeKQL9YY0Q+ssI0yFEKIsMplg0Uu/UXvh27hZ83AJ9KbmvEm4tpclHe+ImBh7gqHXYzLBpk32ZTFycuydLh07QqdO4OQExlcnkPnVUtJs/pz1bETQ1+/Rtruno+9ACPEPlLR0Tg5/m4Kdh1GAQ7Xvp13sM4Q1kK2Khbgd1q2D0aMhIMC+KXgPQyw9DdFYVVo0iqVkacfiYsjIgNmzK96eGjfb3y6hxi2QUEMIIcTvKQrsWJ/H8f/F0OTUMlTYcPXU4fvMEALHDeG6NRpE2aEonP/lOOdi4tFs2Yhz3qWSU0YXH4xtOxEyrAthAxujUksgJYQQZUF6msLKId8SsW8eKhQ8WtYjbMFkVIEBji5NXGH6LZHkIW9QdCmfNJea6D75gK6D/R1dlhDiLxT8so1zz7xPcUYeRrUbx+9/hYdmdpLlpoS4jUwm6NMHTp6EJ5xj6ZV2bY+qqwHHmsAovjTqCQuDVavsgwUqEgk1SoGEGkIIIa46e9rGhvGrqLvlK9ysueh04B7ZkZpTR6MKCXZ0eeImKTaFU8sOcnFBPE47NuFclF1yzujhh7nDfdSI6kK1bnUl4BBCCAc5sK2A41FTCE//Fa0GfB7rS7WpYyveu/67gDUpmZMPvEJhSibZugBy3viA+5+rIZNWhShLLBZSJ39B1twlmMxwwb0uuncn0WN4sPy/KsQdsG0brBkSS+/0aNZXsW8KftV952PpfiGa1QFR9PpOT/v2DizUQSTUKAUSagghhMjPh5XvJeIZ8xkhRSdRqcCtfk1qfDgW53bNHV2euAVWk5Xji/aR9l087ns2ozMXlJwr9g2G+7pQ6/EuBLar5cAqhRCi4lAUWPn5WVzefRM/YwrO7lqC3x+H77A+ji5N/A3FkMbJgS+Tf+w8hRpPzj0zlcGT60tnqRBlgHIxlVMj3iZ/9zEU4EDYg9wT+xTh9e/oFrxCVGyxseRMj2aO0T4j4/r9qewzOJ52jsZ7XBTo9f98vXJGQo1SIKGGEEJUXIoCG75LJ/2dudQ3xAPg6udBwKtRVIq6HzSyD0N5Ysw3czR2N5lL4vE6uBWt1VhyrjiwJtoeXQh74j58G1d1YJVCCFF+FRXB4tEJ1F8xFSdbMS7VAqi9YDJOTeo5ujRxM3JyOPXQa+TuPoZZ5cyRRyYz7LM2aKXfVAiHKVy7hXNjplJ0qYAijQfHB7zGIzPukeWmhLiTYmMhOhqiojAN1v/1/lSLrrWraMGGhBqlQEINIYSomI7sM7Lzxe9puP9bdIoRZ2cVHoP7Uv2tkeDj4+jyxB1WkFnM4a+2k7ssHp/jO9AolpJzxdXr4NKrC3Weug/3UFnXXQghboeUs1bih3xJ46OLUQEe9zajdsxEVL4+ji5N/BtFRZwePomc9buxomF/j1cYOr+HbDkmRGkzmzFMmk3mV0sxmeG8RwOc/28iPR4LlBlUQtxpMTH2aRk3E1TExtqnb4wYcaerKlMk1CgFEmoIIUTFknlJYfX/thLy8ywqmQxo1ODaujGhH49FWz/c0eUJB7icUsDhuVspWhVP5dO/ocIGgEoFxWGN8OjXhfAnOuMc5OvgSoUQ4u60a102F59+mxqX96HTQaXRgwmZ+LjMiLxbWSycHzOVrO9/wabA3tajefiHh/H0dHRhQlQMSsoFkkdMJm9PEgqwr85gOsaMkuWmhBBlhoQapUBCDSGEqBjMZoibcwbzx58Rmr0XANdq/lR552k8+9+HDGkSAIZj2Rz7cgumNRvwS01Ehf0lllqjorh+c3we6EJYVEc0Pn/oufndaB2TCRISYOvWa1OQO3SAzp2v7H9bQUfrCCEqHkWBZe8fw/eTiXibM3DydqXqjFfx7t/J0aWJW6UoXJw4m0uzl2C1QmK9R+j981P4B8jrKSHupMJVGzn//IcUZhZSqPHi6MD/8einbWS5KSFEmSKhRimQUEMIIcq/3fF5HH01hkYnl6HChouHDp+nBxP84qPIegnir5z57RInv0rA9ks8/plHS46rdFrMTVvh93AXag69B5Wba8m6qkkdonhmh57kZLBYrm0Wp9VCrVowq20s4Vsr5rqqQoiKJT8ffoxaScMNn6JRLLiEVyP8u3fQ1q7h6NLEbZTx2SLS3pmL2QzHqvXgnmUvU72WjBYX4rYzGjFMmElmzEpMZjjr2RiX/5tA5DB/GZslhChzJNQoBRJqCCFE+ZVyzsaGF1cTtvFL3Ky5aLXg1qMjtaaNRhUS7OjyxF1CUeDEplTOzItHsymeyrnJJedULs5YWrYjZFgXCvafIHvmAha5RLEtTH9dXlZcDO1PxjK4OBqfcVGEvyOBhhCi/Eo+ZmLHkE+pf2Y1ahV49OpI7S9fQ4YSl0+XF63l4gsfYCq2kezXhkY/vEXdpjJoRIjbRTl3njMj3iJnXzI2VOypO5TOMSMIrydL+AkhyiYJNUqBhBpCCFH+FBbCqqkHcfv6M0IKklABLvVrUmPaWFzvae7o8sRdzGqFQ6vOkhIbj+v2eHwLU+wnFMgsdqNAcaOuLpllVcewNjiq5HE9DLH0TI1mgS6KxAg9q1ZdWYpKCCHKmS0/ppM7biIh+cfROanwe/Vxgl4YIss8lnP5v+zg7Mi3MOUZueBZn5DY92neWd5fC3GrCn9eT8r4jynIKiZf68PRgW8wbHpLyYiFEGWahBqlQEINIYQoPxQFNv2QQepbc6l3cQMAzpU98H85Cv/H75cNScVtZSxWOPDjSQwL43HZFo9zbjoqFQQqBvyVDHZ4due7sAk0KNhNz7QY4oKiWO6jJyMDZs+G7t0dfQdCCHH7WK3w05t7Cf7ybdytOThV9qLGVxPw6NzS0aWJUlK85zCnHnkdU2YeGa7VcZs5jQ4PBDi6LCHuTsXFpL0xg0vfrMFkhlNezXB79w16DassGbEQosyTUKMUSKghhBDlw4lDJra/sJj6e75Fpxhxclbh9nBfak4eicrXx9HliXLutVcVfv3yCPcp8bQq2Egd61ECFQMKKkxqF37xf5T5df4Ps9qZ5GQYPhzeftvRVQshxO2RfVlh+dDFNNr+BSoUXBqHU3fxO6iDAx1dmihl5pNnOTHgZUwXMsjV+VH8zjQin6rp6LKEuKsop89wNuotsg+cxYaK3fWH0yX6McLrqh1dmhBC3JSb7W+XXbiEEEJUWNmXFeLe3Ir/D7NpYkpFrQaXVo2p9clYdA3CHV2eqCCKilWkeDdkS82GJJifJSD1ANPOPoyPLRMnWzHVL+3hxeyH2eXXhzzuJydHOvqEEOXD8X2FJA6bSuOLm1GrwfOhntT6dBw4Ozu6NOEAurAa1P9lJsf6v4JX0ll0b4xlafoUBrzZSEaXC/FPFIXCn+JIeeVTCrKM5GkrcXTQmzz2cTNZbkoIUS5JqCGEEKLCsVhg/VdnKfrgM+pe3gOASxU/Qt4ZjfeA+2TtblGqvL3BZrN/rdGpaeF0kGzPqmRaq+JdnI6rrRAs0NnwHR1ti0iPu4fchIF4dWom/1aFEHet+JhzWP43kbCis+hctAS8M5aAUf3k71oFpw4KoP4vn3H8gddhz2GqfvIiizMm8fD09qhloLkQN1ZURPrrn5CxcD0mMyR5t8T9/97gyUd95E+qEKLckuWnboEsPyWEEHef/VvyOPRSDA1OLEOFDWd3HV5PDqbqK4+Ci4ujyxMV0Lp1MHo0BARA/+xYehqiiQuKYl2Qnh6GWCIvRrNTew/WgmIam/fg5go6J1DXrE6lkQOpOrIHMgRPCHG3MJvhx3FbqLnofZxtheiC/Ki9YDKuLRo4ujRRlhiNJA19i/wNO1BQc6T3SzwS0wudztGFCVG2KCdPcW7kW1w+mIINFdvrj6JHzKOE15E0Qwhxd5I9NUqBhBpCCHH3MFy08cv41dT85SvcrTloNeDcrSNhH41GXSXY0eWJCsxkgj59oMn+WIaZo4kLtgcaV/UwxNIzNZoFuiiOBXZiuM/PVD8ah7OtCACtlxu6PpHUfnEAutrVHXUbQgjxjzLSbKx75GsaHFgIgGubptRdOAlVJV8HVybKJIuF5Gc+JPeHtSgKHG73BA8sGYKbu3TWCoGiULhkJRde+4z8y2ZydH4cHTSB4R81kbEuQoi7moQapUBCDSGEKPuMRljzwUGc5n5GcEESKsC5Tg2qTxuL+70tHF2eEAAkTYgle3o0i1yi2Bamv27SUHExtD8Zy+DiaHzGRRH+jp4T+wtJ/GgdXhuW4l90DgCtFlQtWlDtuYF492yHrNMhhChLDm7N4VTUu9S49BsaDXiNeoia//ek/Y+XEH9FUTj35hdcnrMImw2ONniQ3iufwcdXgg1RgRUWkvHqh6R/vxGTCY57t8HzvdfpPcRblpsSQtz1JNQoBRJqCCFE2aUosO3nDFImzKVOygYAnHw9qPxyFEFP9JdOFFF2xMZCdDRJHaJ4Zoee06fty7Oo1fa9NnQ6CA2FWW1jCd8aDVFRoLfP5Mi+rLBt5l6KFi4l1LANFQoqQFs1EO/H7qfqk71R+Xg79v6EEBWaosC6mSdwencCPqZ0dO7OBH/yCpUf6uLo0sRd5OKnS8h8dxYWC5ys3pUOK18juJq8lhMVj3IiiXOj3uLyoYtY0bCt4RP0nPewLDclhCg3JNQoBRJq2JlMkJAAW7dCTo59w9MOHaBzZ3BycnR1QoiKKPmYiW3jvqfOrgXoFCM6JxWuD/ah1rujUPn6OLo8Ia4XE2NPMPR6TCbYtAm2bLn2nNqxI3TqdOU5NTbWnnSMGHHdJSwW2LXcwLnPl1PtwCrcrLkAOLvr0PToSuiLD+DUMLzUb00IUbEZjfDTE2sIW/kJWsWMtkYV6ix6B+d6oY4uTdyFMhauxzB+KhajlXP+LWmy7G1CG7g6uiwhSoeiULRwKRfenE1etoVsXQBHH5rIiGkNZbkpIUS5IqFGKajQocaVDphtYXomTYLkZHuHytVRpVot1KoFkyfbl8y4UQeMEELcbnm5CnETfqXSollUMqWiVoFTi8bUnj5WOnRFhXHqiJG9H2/EPe4ngguSANBqQN24ISHPDsR3QCeZqSSEuONSz5nZ/NBn1DmxAhXg0qU9dWNeR+Xp4ejSxF0sZ/0uzkVNxFJgJNW7HjW+nULDe3wcXZYQd1Z+PhmvfED6j1swmeCIzz34THmV3o94ynJTQohyR0KNUlChQ43YWHKmR/NhZhQL1HqCgvjT+t8GAwyzxfJS5Wi8x11bKkMIIW43mw02zDtL/vufUTNzDwBOIX6ETH4a30FdkFf7oiLKzVHY+uVRcmOXEpaSgEaxAOAc6IvHkH5Ue6YfKn8/B1cphCiP9sRlkPb0JIJzjqLVqvAeN4Lq/3tMno/FbVHw21FOPfwa1su5ZLpWxXvuNFr1C3J0WULcEcrRY5x/fDJZRwxYVFq2NnyaPl8/IMtNCSHKrZvtby+VHSQ///xzatasiYuLC23atGHXrl1/237JkiXUq1cPFxcXGjduzOrVq687rygKEydOJDg4GFdXV7p160ZSUtJ1bbKyshg6dCheXl74+PgwatQo8vPzr2uTmJhIx44dcXFxoVq1anzwwQe354YrANNgPXOMUfROj+YJ59jrAg2wBxxPOMfSOz2aOcYoTIMl0BBC3BmHduSzqMNMKr88kpqZe9C56aj03DAa7vkG3we7SgeKqLC8vFX0fqkBD+9/A/O333O0TRS52soY0y6TOT2Wo00f4fjQyRh3J9oXvRdCiFukKLDy3f0UPfYkwTlH0fh4Um3BFKq/oZfnY3HbuLesT921n6EJDqByUQpFo8awKTrZ0WUJcXspCkWxSzjVewyZRwxkOgWz49HPeHLtIAk0hBCCUgg1Fi9ezPjx45k0aRJ79+6ladOmREZGkp6efsP227ZtY8iQIYwaNYp9+/YxYMAABgwYwKFDh0rafPDBB8yYMYM5c+awc+dO3N3diYyMpLi4uKTN0KFDOXz4MOvXr2flypVs3ryZJ598suR8bm4uPXr0oEaNGuzZs4dp06bx1ltv8cUXX9y5X0Y5kpAAXxTrWV8lil5p0fQwxF53vochll5p0ayvEsWXRj2bNjmmTiFE+ZWRZmPRYyvJ7juM+kd/RKux4dKtI/V3zqfG5FH8KW0VooJSq6FdL18ejdNTY/siTj46ibNeTTAW2ShcncDxXs9z9J7HyYpdaZ9qKYQQ/0FBvsKiB5cQ8tGLuFuy0datTf1Nc/GJbOPo0kQ55BxenQbxn6OpHYqnOROnl55jzdRER5clxO2Rm8ulp94g+eVZ5GVbOejbiaIZX/LsZ/Vk/wwhhLjiji8/1aZNG1q1asXMmTMBsNlsVKtWjbFjx/Laa6/9qf0jjzxCQUEBK1euLDnWtm1bIiIimDNnDoqiEBISwosvvshLL70EQE5ODoGBgcTExDB48GCOHj1KgwYN2L17Ny1btgQgLi6O3r17k5KSQkhICLNnz+aNN97AYDDgdGU369dee41ly5Zx7Nixm7q3irz81MSJMH++fd+MHoZYeqbO47w5iO9CXqKx+jC90mOIC4piXZCe5GQYPhzeftvRVQshygOTCdZ9fAj15zMIzrfP0nMKq0H1aWPx7NzCwdUJcXfIz4fNMclcnreU8DPr0SlGAFz9PHB9oBfVx96PqmoVB1cphLhbnDtexO6Hp1Hr3EZUKnDt3526c18EZ2dHlybKOSU3j8P3/w/z/kNYVDoujJzI/dM6yMQgcddSDh0m5cm3yTyajlmlY0vjZ+n3ZX+ZnSGEqDDKxPJTJpOJPXv20K1bt2s/UK2mW7dubN++/YaP2b59+3XtASIjI0vanz59GoPBcF0bb29v2rRpU9Jm+/bt+Pj4lAQaAN26dUOtVrNz586SNvfee29JoHH15xw/fpzLly/f4p2Xfzk59pGfAOuC9Ox26ci9RWuZdaoHjye9whGlHvEe/QF7u5wcBxYrhCgXFAV2rcpgWct3qTJ1LMH5Sei83Ql6ZwwNt38lgYYQ/4KHB/QeU4tH97wIS5Zw6N5nyHQKoehSPllfLOFoq8c48cBrFG/aKUtTCSH+1vYlKRzr+gy1zm1E66TBb/Jz1I1+XQINUSpUXp40ivsQp87t0Spmqn89kR+iVmG1OroyIf4lRaFo3nck932OS0fTSXeuyvZhs3hq9f0SaAghxA3c0VDj0qVLWK1WAgMDrzseGBiIwWC44WMMBsPftr/6+Z/aBAQEXHdeq9VSqVKl69rc6Bq//xl/ZDQayc3Nve6jovL2tm/Me9Wa6k+TpQtEQYUOM9ULjvG//Q/Rd+9kauXsw9NDOkSEEP/duZMmFvX7Fh57jPDzG9DqVHg80peG+xYQPGYQaLWOLlGIu5JKBa27evLYzw9Rd/cCkka+z8lKbTAWKxRs3MmJB17jeKthZM5ZYp/eIYQQV1itsOyVbaiefgr/gjNo/CpRY+l0qo4dKPtniNLl7EzDH97GdVBv1CiE/fwhPw5cgLFY3oOKu0R2NpeeeI3k178gN8fG/kpdMc2Yy9hPw3B3d3RxQghRNkkv0L8wZcoUJk+e7OgyyoQOHeDbb+1Lb7u4QOu8DeS4BZNNFTyKL6FW1GitFloVJNBSSaDoy6psuNSPhuMjCarr7ejyhRAOZjLZ9+bZutU+k8vb2/53pXNn+N0EOgryFdZO/BWfhbOoZ0xFpQJds0bU/vQ5XBqHO6p8IcqlatVVVPuoDYXvtGHTwgukf/kzdU6uxnrqIuden8WlD77GpW93qj8/EFXtWo4uVwjhQDmXbcQNjqHOrm8A0EY0psHiSWgCKju4MlFhaTTU+/IlTvpXomDuAsK3fM2KHllErhyLp5eEbKLsUvYf4MLT73DpeCZmlRMJTZ9jwBe9ZXaGEEL8gzsaavj5+aHRaEhLS7vueFpaGkFBQTd8TFBQ0N+2v/o5LS2N4ODg69pERESUtPnjRuQWi4WsrKzrrnOjn/P7n/FHr7/+OuPHjy/5Pjc3l2rVqt2wbXnXubN9P42TJ+EJ51h6pkWX7KHRwxBLT0M0W736kJappZN5PYGmFPh+NilLvuRAw04EPN6fJkMbo9HKE7UQFUZMDKjVbAvTM2kSJCeDxWJfos5msweltWrB5MnQLimWY1vSOb4pjdBLvwGgDfIj+K2n8Xu4i4wAFeIOcnODXo9XQRn1DHu3jSRx+i/4/7qU4MvJFH6zkoLvV6Jr3oSqYwfi2r2DzJQSooI5uS+PI4++Sx3DLtRqcBv6AOEfj5a/BcLxVCrCpozibIAv2f83k9oHl7Kh02U6rvkflYN0jq5OiOvZbBR9uYCLU2LIzVFId67OsUcm8cx7tWR2hhBC3IQ7uvyUk5MTLVq0YMOGDSXHbDYbGzZsoF27djd8TLt27a5rD7B+/fqS9qGhoQQFBV3XJjc3l507d5a0adeuHdnZ2ezZs6ekTXx8PDabjTZt2pS02bx5M2az+bqfU7duXXx9fW9Ym7OzM15eXtd9VFROTvaOx2G2WO47G82KyvZAA+x7bKyoHEXL9FWoKlfCbdUPOL3+IsbqddAoFgIObYBxz7MlLIqNY34k80yeg+9GCFEq1GpypkezZkgsJ09CQIA9xKhZ0/45IMAelMYN+oLUZ9/F9bt51Lj0G1pXHd7PDKPx3lj8HukqgYYQpUSlghb3uDB8SV8idn/FiWc+5Yh/Z4qNavK3J3Ji2GROtBzCpU++AdmPTIgKYUv0Sc73fopqhl1oXJ0J+OR/hM8YK4GGKFNqvPAA/tPfRO2kpcaZBLZ3eo0LSYWOLkuIa7KyyBz5MskTo8nNUdjjF4nps7k8N10CDSGEuFkqRbmzuz8uXryY4cOHM3fuXFq3bs306dP5/vvvOXbsGIGBgej1eqpUqcKUKVMA2LZtG506deL999+nT58+LFq0iPfee4+9e/fSqFEjAKZOncr777/P/PnzCQ0NZcKECSQmJnLkyBFcXFwA6NWrF2lpacyZMwez2UxUVBQtW7Zk4cKFAOTk5FC3bl169OjBq6++yqFDhxg5ciSffPIJTz755E3d283uxl5uxcaSMz2aOcYovjTqMZuvjbjW6ewzOJ52jsZ7XBTo7YFH2pYTJM9YgfPmX1CZigGwqJ3IbtqZoCf70+jhBqjU0mEpRHlkMsEnzWK5NzmajTWiWB+sv+681Wxj+MGXuD/3GzLVfhT7BKHt1IG6nz6DtlrwX1xVCFGaioth0w8ZXJizgvDjK/CwZAPg7qXFObIz1Z4biLphfQkfhShnLBZYMXYdVRd/hFYxoQ4JJuy7d3BvUtvRpQnxly6t3cOFkROwFRaR4R1OrSVTCWt14wGMQpQWZc9eLjzzLpdOXMakcia+6QsM+iKScFlZVwghgJvvb7/joQbAzJkzmTZtGgaDgYiICGbMmFEyY6Jz587UrFmTmJiYkvZLlizhzTff5MyZM4SHh/PBBx/Qu3fvkvOKojBp0iS++OILsrOz6dChA7NmzaJOnTolbbKyshgzZgwrVqxArVYzaNAgZsyYgYeHR0mbxMREnn32WXbv3o2fnx9jx47l1Vdfven7qtChRmwsREdDVBSmwXo2bYItW66tjd+xI3TqBE6LrrW7GmwAmHMKOTpjPQWLV+By4VTJ8exKtdDc34/G47vjW1WGKAhRnqxbB6NHw3BVLP0yry1Zpyjgff4QL50bQ2PrAQwEsU/XhoC3x9D11ZaOLlsIcQOKAvt3mzkwYxM+CUupUXAEsM/kdG5ch5BnBuLW5z5wdnZwpUKIW5WZZiH+wVmEHVoKgO6eNjRc+AYqL08HVybEP8vdfZxTD70GOdlku4bgF/MhjXvIYBlxG11ZYvf3/R03ZLViGvkU2at+5YI1CINLKMcHT+KJd2vI7AwhhPidMhVqlFcVOtS42SdusAcgNhuMGPHnc4rChfhjnPlsBS7b4lGbjQBYNM7kNO9CldH9qXd/XZm9IUQ5MHEizJ9vX2qqhyGWnqnRrHcfgDUnnweKFhCoGLigqcE3NSfwvfF+ho3Q8vbbjq5aCPFP0tIgYe5xihYto6FhA1rFjFoF7sFeeD/aB//H74fAQEeXKYT4D45syeTsiEkEZR1Gowb30XpqvzNCZmOJu0pRUgpH+72MKs1Agc4X3Scf0GZomKPLEuXFHwZ8JiTA1q3XBnx26ACdG2dienAIqt27uaQLIq7KKELeG0vfQc7y51QIIf5AQo1SUKFDjTvAmJnPkenrKF6yApe0MyXHc/zC0A3qT5MXuuIZ6Oa4AoUQt+T552H5cqgaZKFmylZGpE2lhWUHCipUKGz36snnjWZToPPhzBno3x8+/dTRVQshbpbRCJtX5HBm1mrCDi3Dx5wOgLuHCufO7ak6diCaVs2lM1SIu4CiwMZPE9G9NxkPcxZqD3dCZv4P//vbO7o0If4TsyGTg71eQXUmGaPajeI336XzC80cXZYoL363NPcXxXoslmtLcze37OL/sp6mqvk06S7V+b7Nxzw0p6ssNyWEEH9BQo1SIKHGHaIonFtzmHOfr8Bt50ZUVvtm7matK/mtu1J9TH9q9wyXPhEh7iIWC4wfkgorVtDDtgZvJRuARtYDFGk8yXStynMtfi1pn5wMw4cjMzWEuAspChxKtLF7xnY81/9EWN5ewL7fllvd6gQ+PRD3gT3A7XcDFX43A9Rk4sajHDvbl7f62xmgQohbZixWWDlqKTVXz0KNFUJDqf/927iEVXV0aULcElteAfv7vIHq4AGsKi2ZT79Jj//rJO8rxS3btg3WDImld3o066tEsbGaHrXNQuTFaAae/hh/q4GD6ib8/NC3TP66qiw3JYQQf0NCjVIgocadV2jI5cgnazH9tALXS+dLjucE1cPloX40GdcFt0ouDqxQCPF30i9a2P3pNixLVxBy8TcKi+yDtPOdKmN09SHMchSjxg2NYinZY6O4GDIyYPZs6N7d0XcghLgVly7BhnlnyV+wjIYX1uJsK0KlAo8AN7wejCTgyQFQvXrJ0g1JHaJ4Zoee5GSuG+Wo1dqXrpvVNpbwrX/eq0sIcXsYzhrZ8eCH1Dj5CypA26MLDWNeRuUqr7dF+aAYTRx4+F2UzVtQUJHy4Dj6fdFfgg3xn5lM0KcPnDwJTzjH0istms1+gwjJPUbTzA0E2Ays0/ZmvE809Zs6sWrVlUEaQgghbkhCjVIgoUbpUWwKp5cd4MKcFbjv2YzKZgHArHOjoH13ao7tT2jXWg6uUggB9g7IfatTOTtrFf67V+NhuQyARqtil9KKNZp+tPQ9Sc+0+SVBRg9DLD0N0awJjOJLo56wMOQFvxDliNkMm9YUcnLWWmrtX4q/0T5Qwd0dnNu3oMqzAzm9PonsT+ezyCWKbWF6XH7Xh1pcDO1PxjK4OBqfcVGEvyOBhhC324E1F0l/agJ+eclotGo8XxlN6EuDZMk4Uf7YbBwc+QmWn1cCcK7zcPp8PxytTv6ti39v3ToYPRoCAsDDycTTp16ii2Eh2GwoqPjG9Um+azwFlUoGbgkhxM2QUKMUSKjhGHnnsznycRzWn1fievlCyfGcKg1xH9yPJs91xtnL2YEVClExZaZZ+G3mdoxLVlA17TdU2J9eNH6VcB7Qi9rP92XXuaA/Tc2+6r7zsXS/EM3qgCh6faenvSzbLUS5dPSIwraZe3FZs5T62dtQoaDVQoopkEs2X5qqD7Eq5AnWBV37+9DDEEvP1GgW6KJIjNBL6CnEbaQosO6dnXjNeBcXaz4qHx+qz3uLSvc1dXRpQtw5isLRV2MwfhWLosD5iP50W/E8bh5qR1cm7jITJ8KCGAtDvFfTKWUB7oUZNDAfoBgXzjmF8XLrzWg09rayxK4QQvwzCTVKgYQajqXYFJIW7yX1ixV4Jm5FZbMCYHbyoKhjD2q/0J+q99RwcJVClG+KAgfXGzg9cxW+O9bgac4EQKMBa0RLQp7uT+CAdva1Y+C6TfS+NOoxm68tL6PT2adsP+0cjfc4WVpGiPIuKwt+WWAgK2Y59U6uRFWQh1oFAeoM3NVFrKzyFIurv1IykysuKIrlPnoZ5SjEbVRYoLDm0W8I3RxjH4xQvwENf5iMU4ifo0sTolSc/Ohn8t/7FMWmcLF2R+5Z/SY+AZKai5tksTDngXUErY/F35aGzQauSgFuFJHrEoizzloyMx3gzBno3x8+/dSxZQshRFkmoUYpkFCj7Mg5ncXhD9fAypW45hpKjufWaILno/1o/Oy96NzlxakQt0tOlpU9M7dTuHgFIRd3l8zKUFXyRde/N2HP98G5ZvD1D7qyZj5RUZgG69m0CbZsubYRcMeO0KkTOC261k6CDSHKP4sFntAbyVkaT3/bUmrbkgiwGQhSDBRqPclxCWRplbElHQIyylGI2+P80Xz2P/weVVO2o1KBbtD9NJz1rH2UgRAVyNnYTVx+8V0Ui4W0oAiarXqXwFqyk7P4G1YryvpfuPTxfM5sT6WwALK1lTGoQ2imTmR9tZH8EqK/bmDGuiC9vIYRQoibcLP97dpSrEmIO8Y7tBLtPx+K8tmjHI3dTfrXK/A6vA2vs4kwJZG9n3yGqXMk4eP7EdSqmqPLFeKupChwbHM6p2aswnvrKnxNmfgCGjWYm7Yk+Im+hDx0z7VZGX9ks5UEFU7YR1nfcKT11SDDZrtDdyKEKEu0WvDydyYhqBcX/Hvim3qEjpeWMtr4Ca6WPFzz86mSdZDqnkc5514ftdoehgoh/rvd3yeT/8IEqhZeRO2kw+ft8dR4qqejyxLCIWroO+Hk50Xq428SaNjPoa7PY/xpKtWbVXZ0aaKssdlQ4jdy6cMYshJTKCyCPLUPX+sepZpXLg+bF7A2eCS/XBmIcXVARk9DNGYznNfp6djRkTcghBDlh8zUuAUyU6Nsyzx+iaMfrUa9ZhWu+eklx/NqN8PnsX40eKojWhfJ9YT4JwW5Vn77fCf5C5cTnLKrZFYG3j5o+vUifFxfXGuHOLZIIcRdbeJEmD8fatWyf9/1Qiy9U+biZcygspJBuiqITG0Qx33bEqMeSafHw2WUoxD/gc0Gca9swG/eNHSKEcU/kNoL38G7ZbijSxPC4bJ2JpH88Ktoci+T6x5MUOw06nap4uiyRFmgKCgJm+xhxv6zFBZCocaLLVWHUGnkADJnf0/nM9FsrBHF+uA/zzTvnhrLfWej2Vwrihf26WVfMCGE+Buy/FQpkFDj7mA12zgcvZPM6BX4HNsBVzpkTW4+WLv1pM6L/fBrIh2yQvzRyW3pnPh0NZ6bVuFhvASAWgWmRs0JfLwf1R/t8NezMoQQ4l9Ytw5Gj4aAAOiffW2phjX+enocn8HQS59ixJl0VSAAbpEdaTkzCkJDHVy5EHePvMsWNjw8lxq//WA/0KIljb+fgLaSvI8R4qr8Exc51vclNBmpFDr54DFzKk0fquPosoSjKArKlq1c+jCGy3uSKSiEQo0nW0Mewe+JgQx6zA2f5fY9Az/MjGKBWk9QELi4XLtEcTEYDDDMFstLlWXvQCGE+CcSapQCCTXuPmkH0zn28Sp061bhWphZcjy/bksqj+hHvZHtUTtJJ62ouIoLbeyZtZPcb1cQeGZHyawMxdMbVe9e1HmhD+51qzq4SiFEeWMyQZ8+0GR/LMPM0cQFX9tUE67M3Dg/h7OmYCqrL+PpruDhpcL7/vsIeGUEVJOlJYX4O6f3ZHH80ckEpieiVoFT1FDqTxsJarWjSxOizDEaLrO/56s4nU3CpHHFNvkd2j3bwtFlidKkKCjbd3BpWjSXdydRUABGtRtbQh7BZ9QgHhrhjo/PlbYxMaBWsy1Mz6RJcPo0mM32P682m32botBQmDwZ2p+MtR8cMcJx9yaEEGWchBqlQEKNu5fFaOXgF9u5HLsCn5PXNjk2eVRCiexF3Rf74ls/yMFVClF6zuzO4MT01bjGr8KjOAMAlQqM9ZvhP7IfoY91QOUkG4cKIe6cpAmxZE+PZpFLFNvC9H8a5dj+ZCyPFEVzsXlfclPyaHx5EwBeXiq8H+qB34vDITjYQdULUXZt/+owljcn4WHMBDc3Aj55nSoPd3B0WUKUaZbcQvb0fhOnw/uwqrTkP/cGnd/q7OiyxJ2mKCi7dtvDjB3HroQZrvwa/CBeIx9i0AhPKlX664ebTLBpE2zZYt//y9sbOnaETp2QJaeEEOImSahRCiTUKB9SdqeSNH0VLvGrcSm+bD+oUlHQoDUBo/oR/lhbVFqNY4sU4g4wFdvY98VusmOX439qe0m4Z/PwQulhX5rNq4HMyhBClILYWIiOJqlDFM/s0P/lKMdZbWMJ3xpNzgNRfJ/SHrfF0TTI2QaAl68GnyG9qPz8Y/Z1rISo4CxmhbXPLifwh5loFAu2qjWo+/07eNSXmU1C3AzFZGb3wPfQbUtAQUXmkLF0+3wgKpWjKxO3naLAvn1kTJ1H9q+HyS8As8qZbUEP4Bb1CINGelNZ9o0XQohSIaFGKZBQo3wxFlhInP0rud+uoNKZPSXHzV5+qPr0pt6LffCsLZ0k4u538WAmRz9chdMvq/AoTAdABRTVbUrl4f0IH9kRlbMMJRJClKIrSzeg1//zKMfYa0s3pKTAyg+P4fPTPOrm7QbAu7KWSo/1xWfMMKQHQlRUWalGfn3wE6oeWWs/cG8nmn77CmoPN8cWJsRdRrHa2Bv1GeoVywAwdHuMHt9FodFKslFuHDhgDzO2JJKfDxaVE9sDB+A8YggPPu4jLyWEEKKUSahRCiTUKL/ObrvAyekrcdu8BhdjDgAqlYqCpu0IfqIfoY+0RqWRNYjF3cNisnHgq91kxq7E7/g2VNgAsLp5Yuvek/AX+uLbtLqDqxRCiP/mzBlY9f5BAlbNIyx/PyrA29+JSiPvx/vpR7m28LUQ5d/xTQbOjZiIX3YSao0Kl+eeou6Eh5Hh5UL8R4rC/pcXoHw9DwBDiz50Wf4Czm4ym/+udvgwGVPnkbNxL3n5YFHp2OnfD93wRxn0ZGX8/BxdoBBCVEwSapQCCTXKv6JcM/s/20LBohVUTtlfctzsG4C2fx/qju+De3UZuiHKrrQjmRz9eA3auJW4F6SVHC8Ka4LPY/2o9+S9qF1kVoYQonxISoK4KfuouvZrahYeRqUCn0AXKj/5AJ6PDwZPT0eXKMQdoyiw5ZPf0E15GxdLHoqnNyFzJxHUq5mjSxOiXDjywUpM73+Moiikh9/DPWsm4FHZ2dFliX/r2DEufTCP7F92k5cHVpWWXf59UA8bygNP+csKlkII4WASapQCCTUqDkWBUwnnSZ6xAq9f43A259lPqNUUN7+HkKf6UWNQSxkBJ8oEm1XhUMxvZMxbge+RX0tmZVhcPLF0jSRsXF/8W9ZwcJVCCHHnHDmssP693YRunEe1ouOoVOAb4ob/Mw/hNvwhcHd3dIlC3FYmo8K6EQsJifsaFQqW2vVo+MNk3GpK75wQt9PJmC3kvvwOKouZzJDGNFv1f1SuKYH5XSEpiUvTosmO205eHtjQsNuvF8rQYTwwOpDAQEcXKIQQAiTUKBUSalRM+Vkm9n+6iaLvV+BnOFhy3OwXjNOAPtQb3xuXYF8HVigqqqyTWRz+cA2qNatwz00tOV5QsxHew/pR/+lOaN1lNJkQouLYv09h4/9to+6v8wguTkatBp9qngSMeQTXoQ+Aq6ujSxTilqWfKWT3oCmEJG+1H+jTh4ivn5P9sYS4Q86vSiRt1P/QGAvI8Q2l7vJpBDeS2ftlVnIyl6ZFk7NqK7l5oKDmN79IrEMeY+AzwQQFObpAIYQQvyehRimQUKNiUxQ4FneGs5+vwGfnWpwtBQCoNBqKW3Wk2jP9qNK3mczeEHeUYlM4umAPaV+twOvQr6gVKwBmZw9MnXpQe1w/gtvVdGyRQgjhQIoCv+1W2PLuJhrsiiHQeBaNGnxqehP4/BCcHxkAzhL4irvToVVnufT0m3jnp6DSanF/cxzhz/dxdFlClHvpO5I58/DL6PKyyHcPpOrCaYTeW83RZYnfO3OGSx/NJ2d5Arm5oKBiX6VuGB/RM3BsVYKDHV2gEEKIG5FQoxRIqCGuyk4zsv+TjZh/WoFfxpGS45bAKrgM6kvd53viFODjuAJFuZNz5jJHPlqDbcVK3HKuzcrIq9YQjyH9aDSmM06e0kknhBBXKQps/9XG9nc30GTffPxMF9BowLdWJQLHD8Xpgb7gJCPbxd1BUWDjpATcP5+Kk60Yq68/Nea/jX/Heo4uTYgKI/toKkf7v4LLpRSMTl54z5lK/YHy/6DDnT/PpY/nk7M0ntwcBQUVib6dKXp4OPc/V4OQEEcXKIQQ4u9IqFEKJNQQf6QocOjnU6TMXoHvnvU4WwsBUGm1mNp1osaYfgR2byKzN8R/otgUTi7Zx8W5K/A4sBW1zQKAWedO0b09qP1cX6reW8vBVQohRNmmKLAp3spv762j+cH5+JrT0GrBN9yfwJceQ9e/F2i1ji5TVEQxMaBWg16PyQQJCbB1K+TkgLc3dOgAnTuD1WTlWIdRVDqxgyznYMwNm9H0x4k4B/o4tn4hKqCCC9kc6PUaruePY9a4oHvvbZo92crRZVVMFy6Q+UksOT+sJyfH3s2V6HMvhQ8Op/+4WlSp4uD6hBBC3BQJNUqBhBri72SmFHHgk3isy1bgl3W85Lg1pDpuD/elznM90frKpnLin+WnZHPk4zgsP6/ENetCyfHcKg1we7gvjZ/vgou3zMoQQoh/w2qF+HUWDkxZTctj3+BtvoROB771ggh6RY+mVw/QaBxdpqhIYmMhOpqkDlE8s0NPcjJYLPacw2azZ211A7N5O2kwdbN3kuUUxOXh42g643FUWvm3KoSjmLIL2dV7Eu5Hf8Om0mAe/xpt3+zm6LIqDoOBzOnfkLM4jpxsGwCHvduT+0AU/V4Io5qsCiaEEHeVm+1vV9+pArKyshg6dCheXl74+PgwatQo8vPz//YxxcXFPPvss1SuXBkPDw8GDRpEWlradW3OnTtHnz59cHNzIyAggJdffhmLxXJdm4SEBJo3b46zszNhYWHExMRcd37z5s3069ePkJAQVCoVy5Ytux23LMR1Kld1pctHfeiaNAfmfsHFZn0xqV3QXDyHcfosDtUbxO5BU7iUcMg+bFSI31FsCqd/2sfWHm9zIuIhdNFzcc26gFnrRva99+Oz5Cs6HfqcVhN7SaAhhBD/gUYD3XtpGRffn4K53xJffwxZii/pBw0cG/UBF3uMwLpug703WYjSoNeT1CGK7OnRNNkfS0AA1KoFNWvaPzfUHGPyjh6EXdpJunM1bDNnEzHrKQk0hHAwJx832idMoaBtV9SKFeeP/o/Nz/8gb/HutPR0Mt/4mFPth3Fu7mpysm0c82rDdv0c7t38fzzzsQQaQghRnt2xmRq9evUiNTWVuXPnYjabiYqKolWrVixcuPAvHzN69GhWrVpFTEwM3t7ejBkzBrVaza+//gqA1WolIiKCoKAgpk2bRmpqKnq9nieeeIL33nsPgNOnT9OoUSOefvppHn/8cTZs2MC4ceNYtWoVkZGRAKxZs4Zff/2VFi1a8MADD7B06VIGDBjwr+9RZmqIfyvtdCGJH/8CK1bgl3Oy5Li1WiieQ/oS/mwP1F4eDqxQOFphag5Hp8dh/mklzpdSSo5nB9bD5eH+NHn+PtwruziwQiGEKJ9MJli91Mipj5bSNvk73Ky5ODuDb9MaBL0eharTvbJ8pLijTCbo0wea7I9lmDmauOAo1gXpAah3ciVjL75KiO0ixzQN+KTlQr7ZXEO2gRGiDFFsCjuGzcRlzU8AXI4cwn0Ln0CllueO2yozk8wZ35K9YAW5WfYBric8W5LVfwS9X25IjRoOrk8IIcQtcejyU0ePHqVBgwbs3r2bli1bAhAXF0fv3r1JSUkh5AY7M+Xk5ODv78/ChQt58MEHATh27Bj169dn+/bttG3bljVr1tC3b18uXrxIYGAgAHPmzOHVV18lIyMDJycnXn31VVatWsWhQ4dKrj148GCys7OJi4v78y9ApZJQQ5Q6i1lh73fHSf9qOQGH4tEpRgBULs5YO3Wh9vP98GlbTzpPKgpF4fzKA5yfvQLXXZvBan9xbtK6kde6GzXG9COsZ5j8cxBCiFJgNMLyRYWc//Qn2p5bjKs1H1cX8GlRm8DXR6Jq306en8UdsW4djB4NAQHQPzuWnoZo4vwfw5aRxYO5XxOoGPjN9V7eafAdFy67MXs2dO/u6KqFENdRFHaN/w5dzJcAZLXqSacVL6F1lhlVt+zyZTJnLiR7/nJyM00AnHJvSka/kfR8pQmhoQ6uTwghxG1xs/3td2QXxO3bt+Pj41MSaAB069YNtVrNzp07GThw4J8es2fPHsxmM926XVt7sl69elSvXr0k1Ni+fTuNGzcuCTQAIiMjGT16NIcPH6ZZs2Zs3779umtcbTNu3Lhbvi+j0YjRaCz5Pjc395avKSomrU5Fa3090NfjwvFnOPjxerRrVlA57zTqtWs4s3YN1tDaeA/tR+2nu6Nyd3N0yeIOMKbncPTTdRh/WIFT+nlcrxzP8q+L06B+NB3XBa9A17+9hhBCiNvL2RkeGu5G4UPDWLZgAGkzl9Duwg8U/XqKnIffwKdtPQJeHYmqVUsJN8RttXWrfQ8NFxfYoetIuCWeJ06+igYrKhTW+T7C7MazUatUmNNhyxYJNYQoc1QqWn/yKPsDfFGmTaPS7jg2d8qh/dpJsmTsf5WdTdbsxVyet5TcS/b+mNPujUjrPZLI15pRq5aD6xNCCOEQdyTUMBgMBAQEXP+DtFoqVaqEwWD4y8c4OTnh4+Nz3fHAwMCSxxgMhusCjavnr577uza5ubkUFRXh6vrfOwinTJnC5MmT//PjhbiRKnU9qDJ3ICbjAPZ8c4RL85YTdGwj2tOnyHt3OokfzUHp2o3a4/rh2aKOo8sVt0pRSF13kLMzl+OyYxOKxYITYNK4kt2iG9We6UeX/uHSTyaEEA7m5gaPPulB3pAols4fRPacRbS9+BOF8cfI2fkKvh0a4f/aKIiIcHSpopzIPpvDfZc30GXHWkItJwDQYMWGhlS3WsxuMqekrVoNOTmOqlQI8U8iXu/FEX9vil6bjO/x7ezo8CLN46bgVcXT0aXdPfLyyJqzmMtf/khuRjEA59zqc7HnSHq83oLaYfKGSQghKrJ/FWq89tprTJ069W/bHD169JYKKstef/11xo8fX/J9bm4u1WTnKXGbODmraPd4Q3i8IWcOjuHIJ2txWreCygXnYOVKTq1aia12HXyH96fmyC6o3GQE/93EcjmPY5+upfD7lehSz+IMKEBWpXA0A/vTZFwXKlWVGTlCCFHWeHqCfowX2cOe5MevH6Lwq+9om7aMgrWHyPn1BXy6NMPvlVHQsKGjSxV3IVOhhcSvd3F5YRwP7d+OzWhBrQEbGkxO7qRRkwKnSqix0sMQW7LHhs0G3t4OLl4I8bcaPN6eZP8PufTU//BOOUxip7HUXT4N/wb+ji6tbMvP5/IXS8j84gfy0goBSHGtQ0qPkXT7X2vuryNhhhBCiH8Zarz44ouMGDHib9vUqlWLoKAg0tPTrztusVjIysoiKCjoho8LCgrCZDKRnZ193WyNtLS0kscEBQWxa9eu6x6XlpZWcu7q56vHft/Gy8vrlmZpADg7O+PsLFNGxZ1Xs7EnNec9SHHRIHbPO0jW/OVUObkJzckTZE/4kMT3Z0GP7oSN64d7k9rXPzgmxj58T6/HZIKEBPtyBjk59je/HTpA587YN5aMjbW/K/6H/6/Ff6QoZGw8xJnPVqD7NQHFbEYHmNQuZDbrRpWn+nHfoDqo1Y4uVAghxD/x8YFRL/qSOeIZfpjzMNbYBbTOWEXe8n3kJIzBN7I1lcZHQb16ji5VlHGKAmd+OcmZOXG4/LoBF2M2foBFA4e14ewN6El113S6XlrM0qBxrAvS08Ng32MDYLmPHp0OOnZ07H0IIf5Zrfsb41x5BucHv4x75lmSIsdgXPQBVe+R3az/pLCQ7K9/5NKs78k35KMAqS61ONd9JF3eaE+/uhJmCCGEuOZfhRr+/v74+//zqIJ27dqRnZ3Nnj17aNGiBQDx8fHYbDbatGlzw8e0aNECnU7Hhg0bGDRoEADHjx/n3LlztGvXruS6//d//0d6enrJ8lbr16/Hy8uLBg0alLRZvXr1dddev359yTWEuJu4uKro+GwTeLYJSb+N5dj0ONziV1KpIAWW/szJZT9jq1sfv5H9qfrYfahcnO2BRnQ0SUnwzA49ycn29ZnVant+8e23UKsWzGobS/jWaIiKcvRtljvW7DySPl9H/qIVaFLOosU+KyPTJwz69aPJ+G60qSmzMoQQ4m5UuTI89YYfaY+P44fPh6D57htaX1pD7pJd5KzbhW+f9viMHwm1a//zxUSFknPmMkc++wXLijg8MpLxuXLc7O6LpUt3ajwRyf/erkWT/bF0zV9MXHBUycyMq597pkZz6RIkRujp1Mkx9yGE+HeqdAjFKe5zTtz/Mm5Z57kwaCzGL9+ndr8Gji6tbCgq4vK8pWR+voj81DwUIM25Bme7RNFpwr30ri9hhhBCiD9TKYqi3IkL9+rVi7S0NObMmYPZbCYqKoqWLVuycOFCAC5cuEDXrl2JjY2ldevWAIwePZrVq1cTExODl5cXY8eOBWDbtm0AWK1WIiIiCAkJ4YMPPsBgMPDYY4/x+OOP89577wFw+vRpGjVqxLPPPsvIkSOJj4/nueeeY9WqVURGRgKQn5/PyZMnAWjWrBkff/wx9913H5UqVaJ69eo3fY83uxu7ELdTQb7Cri/2k/PNcqqd2YIaKwAaT3fUvSIJe6Ef57/dTPb0aBa5RLEtTI+Ly7XHFxdD+5OxDC6OxmdcFOHv6B10J+WMopC15TCnZ6xAszUBxWgCwKxyJr1xV4Ke6EfEI3XR6uRFuRBClCcXLsCPMy7g+kMsLbLWo0LB1xd8B3bG+7kRUENG41Zk1mIzx6K3k7lwLZ6Hd4BiA0BRa8lr2oGA4T2pN7QlKq0GgKQJsfIaTohyKvd8Dvt7vobnxWNYNc64TZtMg6gbD/qsEIxGsmOWkfHZdxRcyEEBMpyrcabzCDpO6Ez9hjKdXQghKqKb7W+/Y6FGVlYWY8aMYcWKFajVagYNGsSMGTPw8PAA4MyZM4SGhrJx40Y6d+4MQHFxMS+++CLfffcdRqORyMhIZs2add2SVWfPnmX06NEkJCTg7u7O8OHDef/999Fqr006SUhI4IUXXuDIkSNUrVqVCRMmXLdsVkJCAvfdd9+fah4+fDgxMTE3fY8SaghHUhQ4uu0yJ2aswWvzSnyLUwH7jIxEWyPyLa600+xiTfDIktF9gH35gtRoFuiiSIzQs2rVlaWoxH+i5OVzctY6cheuRH3udMnxS161sfbuR9MXuxEc5u7ACoUQQpSGM2dg6afn8FkWQ0T2RlSAb2UVlR7siueY4VC1qqNLFKVFUTBsOk7ynLXoNm9AW5RXcio3pD4u90fSYEwXPEP+sGFwbKx9tm2HKJ7Zoef0aTCbr8221ekgNPQPs231EmwIcTcpulzMjp6T8DmxC0WlRvXqqzR7tYejyypdJhM5C1aQPv1bClIuoyiQ6RTC6XuH035iNxo2ljBDCCEqMoeHGhWBhBqirMjNUdg1ew95C5cTcvpXigttqFTgq87GU1XAiqqj+an6CyXrMccFRbHcR09GBsyeDd27O/oO7jKKQs72IyR/thJ1wkZsxUbAPisjtUEXAkb2o+WweuicZFaGEEJUNElJsOzjZALXRNM4ZysqFVTyU1N5SCTuo/XwF/vLibtf4flMTny+HuPPcTgZzpYcL3KtjPG+SGqNjqRGh7+ZFf6HfdE2bYItW67ti9axI3TqJPuiCXG3sxRb2NLvA3x+Ww+AaeTTtPnoEQdXVQrMZnIWriL94wUUnM9EUSDLKYjke/S0m9SDRk01jq5QCCFEGSChRimQUEOUNYoC44dnUvjDaiItK/FX0gmwGQhUDBjVrlhUOva7d2BbpT7kugZyPNOfro8G8uoHlUH7r7bYqZCU/ALOfLme7G9WoDqTzNW/nhmetTBH9qPxC92o3sDDsUUKIYQoE44cgeUfnqD6L/Oon7cTlQoqB2rxe6w3rk8Mg5vYp06UfYrRRPI3v5KxIA6Xg7tRbPYXBxaVE9mNO+I3rCeNhzdH6yQjj4UQ1yg2hYTBc/BZ/z0AhX0epn3s06jU5XBQlMVCzvdxpE37hsKz6SgKZOsCONX+MVpP7EmT5vI+VAghxDUSapQCCTVEWfT887B8OVSrYiPkwm7api9neNFsVCgoqDikaVrS1mazj/bz9VVh8a6MzT8QdaA/TtUCcakegFdYAF7hgaiDAsDLC1Tl8EX2P1EUCvYc49SnKyA+HmuhfVaGReXEhTr34RfVj1bDG+DsUgF/N0IIIf7RgQOw6oPD1N4cTZ38PahVUDlYh9+IfriMGgqVKjm6RPFvKQpZW49wes5a1AnxUFhQcupSYCOc+vek0ZjOVK4uy08KIf6aosCvzy3GfcEcAPLbdeeeZa+gdionnfxWK7k/rMPwQSyFpw0oCuRqK3Oy7TBaTupD05Y6R1cohBCiDJJQoxRIqCHKookTYf58qFXL/n0PQyw9z3+BxmrCyVbMfl0rklVh+JrTqWROI8QpAw8Xy19eTwXonEDt4oSlUgD4B6AJCcS5WgDuoQH41AnApUYgBASAs3Pp3GQpUPILOB/9C5djV8CpU9iuzspwr0lxt340eL47Yc08//4iQgghBPaOqz17IG7qAepvn0etgkQ0aqhcxRn/JwbipB9sX19IlGnmC+kkzVpP8bI4VBdTSo7nuQRQ2DGS0Kd6UKdL1Qo5BkQI8d/teHsdTp9MRYWN/PqtaRM3GScvF0eX9d/ZbOQu/YXU92MpPnUBmwJ5Wl9Oth5K84l9iWhTft4zCiGEuP0k1CgFEmqIsmjdOhg92p4x9M++tofGuiD9n/bUSEuDtyYp1A+6TO7JdArPpGNKScOWmo7qUjpO2en4GNPxtGT97c/UqO3Bh+LhhbVyAKrAAHRV7bM9PMMC8KodgDYkACpXBk0prJX6hzWpExJg69Zra1J36ACdO99gTWpFoWj/cZI/XYHtlw1YCq7NyjhXqzOVhvejzciGuLlLb4UQQoh/T1Fg+zaFXz7YQ9Pf5lG98CgaDfhVdcX/6UHohj4MnhKYlylGIxe+20zaN2vRHtiL1Wp/62RWOZNevxOVHu1J85ERuLjKawMhxH+3f+5OzG9MQms1UlitHs3Wvo9b8F0WdisKecs3cvG9GIqTzmNToEDjzYkWQ4h4awDN2jpL6CuEEOIfSahRCiTUEGWRyQR9+kCT/bEMM0cTF2wPNK7qYYilZ2o0C3RRJEboWbXqSuf+DdhskJkJ6RfMXD6RQX5yOsXn0jFdSAdDGprMdNwK0vE1peNsK/zbunQ60Dmpsfj4ofgHoA4OxKmKP26hgXiHB+BWMwBVUCB4eNz6MlexsRAdTVKHKJ7ZoSc5GSwWe85hs9m3D6lVC2a1jSV8azQ8+igXrYFcilmBknQSm81+mQy3GhTc14/6z/egbktPeREuhBDitlAU2JSgsHnaTprvn0eVoiS0WvCr7o7/sw+jHfwguLk5usyKS1HI336Q03PiUBI2Yc279hrnon9TNH160uTZewkJk/9GQojb5+iPR8h95jWcTHkU+1Wj/spp+NQNdHRZ/0xRyFu9mQv/F4Px2BlsChRqPDnRbDBNJg2k+T2u8j5KCCHETZNQoxRIqCHKqqQJsWRPj2aRSxTbwvS4/G72cnExtD8Zy+DiaHzGRRH+jv6vL3QTioogPR0yzxWQfSKNwtP24MOamg4Z6ThlpeFlTMfHlIEa619eR62yhytqV2fMlQNRBQSgCQnAtUYg7jX98a4TiK5KgH1j1ZtY5upmfgfDCz9HV6cWtsxsTHnFAFhUOs7U7Iz30H60e6IRnl7yClwIIcSdYbPBL+sVtk/bSuvD0QQVn0anA79QT/zHDkHz4ECuewITd5TtooHTX6yj8Mc4rBdSufou6bJzMDntehL6ZHeaRAajlj2/hRB3yOmEs1wY9gruBemYPP0IXfIBAW1CHV3WjSkK+eu2cf6daExH7Mv1FqvdOd70YRq99SAtOrpJmCGEEOJfk1CjFEioIcqkP8xSOH0azOZrsxR0OggN/d0shago0N9asPF3FAWysyEt1UbWKfsyV0Vn0jClpKOkp6POSMclNx1fcxoeluy/vZZWaw8+rJ4+KJX9UQUF4lQ1ANcaAXiGBeJZ2770lcmjEn36qW84W8XZWsjwpDfpkrGIyzZvMjRBeLhDhlt1cjv2pe5zkTRq7yUvwIUQQpQaiwXi1ijs+Wgj7Y7F4G88j5MT+IX54Pfco2gG9C9X+1aVKUVFXPpxE4aYOEg8gNlsP2xUu3IhrDM+g3vSelRjGeQghCg1qQfSOTHwFbwun8Xq4kHg1+9RrXdjR5d1jaJQsHEX596ah+nwCWw2MKrdON74QRpMeoiWnT3kvZQQQoj/TEKNUiChhiiT/rCfxKZNsGXLtf0kOnaETp1usJ+EA5lMkJEBGRdMXD6RQcGV2R6WC2mQno4mMx3PInvw4WQr/svrqFTgpAOLouFkjh+5LoFU4QLhxoPs8O1Firo6vdPnE2I9R5oqiIuqqmzRdMLnsf7opzXGx1defQshhHAckwlW/mzl4PQNdDgZQyVTKs7O4FenMv4vDEPVt499dIK4NYpC8Y79nPsiDmv8Jopz7XtoKag4W6k5qp6RNH6mI7UbyiwZIYRjZJ7JY3/v16mUehib1gnvjyYRpm/v2KIUhYLNezj71jzMiUex2cCkduF4w0HUm/gwrbrKwDAhhBC3TkKNUiChhhClQ1EgLw/SDAqZZ/NLNjUvPp+OkpoGGek4Z6fjY0rHx5yBsciGyQTqK3uSB9gMBCoGFFSoUDiubkCs7/McqhrJmSxvhg+Ht9927D0KIYQQVxmNsOwHCydmxNHh9Df4mNNxdYHKDQLwe0GPqmekffqi+FeUlAtciF5L/g9rMaakl+yhdcm5KpmtelJ9VHda9QmQ3EgIUSbkZxrZHvkWfqd2gFqN0+sv0fClXg6ppWDrPs68FY1130GsNjCrnDnRYADhEwbTuoePhBlCCCFuGwk1SoGEGkKUHRYLXLoE6QYbH/0vk1Pb06nplo630R52PFnwCQoqsp38GdN8Ozon+yvvM2egf3/49FPH1i+EEEL8UWEh/LjIzJnPV3HvuQV4WTJxcwO/RsFUGj8CVfduyAYP/6CggNzlCaTGxGE9cAijfVIGxWp3kmveh/fDPWk7sgF+/tIjJ4Qoe4wFFjb2+4jAfXEAqJ94nKZTH6W0UoTCHYmcnhSN9bf9WG32/QeP172f2m8OoW3vShJmCCGEuO0k1CgFEmoIUTZNnAjz50OtWvbvexhi6WmIxqrSolEsxAVd22MjORmZqSGEEKJMy8uDH741cnHucu5NWYiHJRt3d/CLqEalF6Ogc+dS6+C6K9hsWHbtJeWrOEzxWyi4bALsy0ud8m2FtXtPGj7RnkYtnOXXJoQo86wWhV8e+ZKA+O/s398/iBbznkWlvnN/wAp3H+b0pBisu37DagWrSsuJ8L7UfGMo7fr5yd9OIYQQd4yEGqVAQg0hyqZ162D0aAgIgP7Z9kDjapBxNeCIC4piuY+ejAyYPRu6d3d01UIIIcTfy86G7+cXkfX1UjpeXISbNQ9PD6jcqha+L4yADh0qdrhx7hwZC9aS88M6is5fwmKxH05zroEhoidVo7rTvl9l3NwcW6YQQvxbigIbnl5C5e9nAWDq0JXWP72GSnd7lyIs2neMUxNisO3YidUKNjScCO9N9deH0X5AQIV+ihFCCFE6JNQoBRJqCFE2mUzQpw802R/LMHM0ccHXZmbAlZkbqdEs0EWRGKFn1aorG6cLIYQQd4HMTFg0r5D8mB/oZFiMs60QLy/waxuO9wsjoU2bihNu5OVRtCqe1PlrMR84SmGR/XChxpPjVbri+WAk7UbUpWq1CvL7EEKUa5sm/ILHzPdRY8XYuCUtV05G63XrSW3RwZOcejMa26/bsFpBQU1S7UiqvvYY7QcFV5inFCGEEI4noUYpkFBDiLIraUIs2dOjWeQSxbYwPS4u184VF0P7k7EMLo7GZ1wU4e/o//pCQgghRBmVlgbffZGHdeFiOqT/iJOtGB9vqNyxAV7jRkLz5uUz3LBase3cTer8tRh/2UruZQuKYu+EO+bTFmPnSBo+3o4WbXVoNI4uVgghbq8dn+1G/dZEdLZijDXr0izufZwDff7TtYqPnubkG9Eom7dgsdqX6TtZszshr+lp/1AV2bZJCCFEqZNQoxRIqCFEGRUbC9HRJHWI4pkdek6fBrPZvpeqzQY6HYSGwqy2sYRvjYaoKNBLsCGEEOLudOECLJqTjfr7RdyTsQydYsTXFyrf1wTP50dBkyaOLvH2OH2anMVxXP7hFwrOZWEy2w+nutTibP2eVBnejU4DfPH2dmyZQghxpx1YfIzCsa/iYs7F29lIyIuDcXn5OUwmSEiArVshJwe8ve0rE3bufGVmemws2GwUt7uPpDfnoyQkYLUoKKhIrtGFwFf03DO4uoQZQgghHEZCjVIgoYYQZVRMjD3B0OsxmWDTJtiy5doL+44doVOn61/YM2KEg4sWQgghbs2ZM7B4ViauSxfSPnM5WsVCpUpQuUcL3MeOhAYNHF3iv5eTgzluA2nz4yg6mER+vv1wgcabw8HdcL6/J/cMDyMsrHxOShFCiL9y/JfzpA9/ierZifhaM0kZ+grPn3uJ5GSwWK4N6NJqoVYt+4Cu2uvncEEJITs5C4vF3hV0ulon/F4awT1Da8rsNiGEEA4noUYpkFBDCCGEEEKUNUlJ8P3MdHxXLaBN5mo0KiuVK0Pl3m1xGzMSwsMdXeLfs1hQdvx/e3ceV2Wd/n/8ddgNAZPFI7mLueQ2mblELqMBZmpG41KKYmPpTyu1MbPJyjazmq+2aE6lKJlpTtnD0cIN90hLM3NSJtE0lYOaArIJcu7fHwwncZfFcx94Px8PHnru+z4fPtd16YH7XOf+3Ns4+ckqctYlkfH7OQrtUGjx4Gf/TpzpHMltIzrQuYuH7oklIlXa4Z0n2R/9NA1Sk6iRf5yP/CawrMXfL1p6NyL5HUaceRu7lzfpXrUA+PWWcGpOGE74sMZqZoiIiGmoqXEDqKkhIiIiImb188+w9J1UrGs+pv2pVbhZ7AQHQeD9d+MzanjRR3fNZP9+sj8vWl7qzG8Z5J0t2ny0WhN+aRxF7SE9+HP/AEJCnDtNEREzObL3DAl3PEd47mpqkcYy6//j46avABCQl8ajP4+j85kEbFg54W7lZFhHak6I5a7YW/HwcPLkRURELqCmxg2gpoaIiIiImN2PP8Lnbx+h/vr5/Ck9EXeLQXCIhcDobng/Nhzq1XPe5E6fpnDVWk4sTCDnpwNkZoIBnPG4mR+D78GjdySdhzSidWstLyUicimrV8Pjj55l1MmXuTf3c2oZNlYHPsRBjyb0O/EhVvsx0ixWVnv1YWn1WJ79uDlRUc6etYiIyKWpqXEDqKkhIiIiIq7AMGDHDlg241eabJ1Pm4yNuLtBcC0LgQPvwWvkMAgNvTGTKSiApCTSFyeQtW4bp0/ZOXeuaHmpnwLCOdkuihYxd9C9pzs33XRjpiQi4qqefx4WLIBG9QvpsXsGfzkzl1qGDQMLFgx2enRgVoM3+T20FQcPwrBh8NJLzp61iIjIpV3r++262FBEREREpJKzWOCOO6DdwgYkJb3IZzP2c9v2OG5L/YYT764mZOlaAh/uhecjMVTI+k6GAcnJnF2+itP/WkfG0TPk5BTtOnxTc35uHEmtwX+mx/1+1K9f/t9eRKSyysgouik47u6sbfMUmf+pyeRTfyPXchMnvOvw0p0JWCxgoei4jAxnz1hERKTs1NQQEREREakiLBbo3Bk6dQpj48ZXWTJzH213zqPw6Hec+L+VhCxeRWDMfXgMHwKBgTB/ftG7YDExVx88Ph7sdhg+/I9tv/+OsXoNpxYlcOY/h8hIB7sBGZ5B7LRGYERE0mlgPSbeidZ2FxEphYCAopdeAIubhZuDPTiY3wq7uxfunCMyLZ7V1qLXcLu96HgRERFX51aRg586dYqHH34Yf39/atSowSOPPEJWVtYVn5OXl8eYMWMIDAykevXqREdHk5aWVuKYw4cP07t3b2666SZCQkKYOHEi586dK3HMhg0buP322/H29iYsLIz58+eX2D9t2jTat2+Pn58fISEh3H///SQnJ5dL3CIiIiIiZmaxQLdu8NoXzaj50Rt82uld9vn8iWOHz7Fv+pcc7/kQhe/Ohrw8iIuD+Hjy84vWbn/+eXjyyaI/V6+G/HyKGhpxcUUNkLNnITGRrLGTSA3/Cz+P+yeHtxziRLoX3wf0YHn4m5x4dwkjkkby1Nv16NxZDQ0RkdIKDy96Dc3LgwhbPFG2OFbd8ggT264hwRpLlC2OCFs8eXng6Ql33+3sGYuIiJRdhd5To1evXqSmpvLPf/6TgoICYmNjad++PYsWLbrsc0aPHs3KlSuZP38+AQEBjB07Fjc3N7Zu3QpAYWEhbdu2xWq18uabb5KamkpMTAwjR47ktddeA+DgwYO0bNmSUaNG8de//pV169Yxbtw4Vq5cSWRkJABRUVEMGjSI9u3bc+7cOZ599ln27NnDzz//jK+v7zXFp3tqiIiIiEhlcO4cJCTAprd/oNPPc2mQ8x+8vCCkrjeBLWuTtSuF9wv+ygd5MZw7V9S7sNuL3kh71CeeUd5xBDx4D+fcvTm9bD0ZR7M587/PMh30bcnu2lEERnfjnvt9adpUN/0WESkv+fnQuze03hXPkII4EmrHOq7MgP81OlLjWOgZy+62MaxcCV5eTpywiIjIFTj9RuF79+6lRYsWfPfdd9xxxx0AJCQkcO+993LkyBFCL3EjwoyMDIKDg1m0aBEPPvggAPv27aN58+YkJSXRsWNHvv76a+677z6OHTtGrVq1AJgzZw6TJk3ixIkTeHl5MWnSJFauXMmePXscYw8aNIj09HQSEhIuOd8TJ04QEhLCxo0b6dKlyzXFqKaGiIiIiFQm+fmw4t8G3777HeH/nUfd3GTcLOCZfQovez5L645ndf1HHcf3/vU9+h2dzRn3m6ke6EVeLhTaId0zhO9qRpLXJYK7BtYhPBy8vZ0YmIhIJfbLlHjSZ8ax2CeWb8Ji8PH5Y19eHnTeH8+gvDhqjIulycvXsJygiIiIkzj9RuFJSUnUqFHD0dAA6NmzJ25ubmzbto3+/ftf9JwdO3ZQUFBAz549HduaNWtGvXr1HE2NpKQkWrVq5WhoAERGRjJ69Gj+85//8Kc//YmkpKQSYxQfM27cuMvON+N/d8uqWbPmZY85e/YsZ8+edTzOzMy8fAJERERERFyMlxc8EG2h93138uWy9ix6N4nW38+j3jmobbEx+vCz3Ja3k03B0UT/9n/clvEtNouVM4VenE7zJqVOVw42jaLZoLbERFmwWp0dkYhIJRcfT5MtcfwyLpbd38Zw4iAUFPxxRZ2nJ+xuG8OojtBkSxzEc233SRIRETGxCmtq2Gw2QkJCSn4zDw9q1qyJzWa77HO8vLyoUaNGie21atVyPMdms5VoaBTvL953pWMyMzPJzc2lWrVqJfbZ7XbGjRvHXXfdRcuWLS8b07Rp05g6depl94uIiIiIVAbe3jBwkIVqN3Vm5F87cUfuJh4+G0e7wm10tS2hi+0zwCDVYmWdRxTr3CPZ5t2Fvz99E6+N0vJSIiI3jN0OsbE0iYlhZT5s3AibN0NGRtFNwe++G7p2BS+vmKKGRvFdxUVERFzYdTc1nnnmGaZPn37FY/bu3VvqCTnDmDFj2LNnD1u2bLnicZMnT2bChAmOx5mZmdStW7eipyciIiIi4hTffw8+1SycadaVl9PupnlqIu9lDcOdQk5ZgngoeA2FIbWpUQPcD0FqqhoaIiI31PDhjr96ecE99xR9XZKu0BARkUriupsaTz31FMPP+6F5KY0aNcJqtXL8+PES28+dO8epU6ewXuY6dKvVSn5+Punp6SWu1khLS3M8x2q1sn379hLPS0tLc+wr/rN42/nH+Pv7X3SVxtixY1mxYgWbNm2iTp06V4zL29sbby0GLCIiIiJVREZG0RIm7u5gDXXjduMYvx29lXN44ONxjgE3r2F1YNGbZG5uRceLiIiIiIhUpOtuagQHBxMcHHzV4zp16kR6ejo7duygXbt2ACQmJmK32+nQocMln9OuXTs8PT1Zt24d0dHRACQnJ3P48GE6derkGPfVV1/l+PHjjuWt1qxZg7+/Py1atHAc89VXX5UYe82aNY4xAAzD4PHHH2fZsmVs2LCBhg0bXmcmREREREQqt4CAP1YqibDFE3UijoR6say2xhQ9tsUBsNoag91edLyIiIiIiEhFcquogZs3b05UVBQjR45k+/btbN26lbFjxzJo0CBCQ0MBOHr0KM2aNXNceREQEMAjjzzChAkTWL9+PTt27CA2NpZOnTrRsWNHACIiImjRogVDhw7lxx9/ZNWqVTz33HOMGTPGcRXFqFGjOHDgAE8//TT79u1j9uzZfPbZZ4wfP94xvzFjxrBw4UIWLVqEn58fNpsNm81Gbm5uRaVERERERMSlhIeDhwd0/62ogZFgLWpoQFEjI8EaS5Qtju6/xePpWbR2u4iIiIiISEWqsBuFA3zyySeMHTuWHj164ObmRnR0NO+8845jf0FBAcnJyeTk5Di2zZgxw3Hs2bNniYyMZPbs2Y797u7urFixgtGjR9OpUyd8fX0ZNmwYL730kuOYhg0bsnLlSsaPH8/bb79NnTp1+Oijj4iMjHQc8/777wPQrVu3EnOOi4u76vJaIiIiIiJVQbdu8KhPPF0OxPF1/VjWWEuux77aGoNhwD2H4vBuBF27ar12ERERERGpWBbDMAxnT8JVZWZmEhAQQEZGBv7+/s6ejoiIiIhI+YqPJ2NmHG/9HstCtxisVvDx+WN3Xh7YbDDEHs/fAuMIGBerG9GKiIiIiEipXOv77RV6pUZlV9wPyszMdPJMREREREQqQHY2lscG0aXR/Wx5LZNDh6CgoOim4HY7eHpCgwbQ5dn7sRzIJTM7G/S7sYiIiIiIlELx++xXuw5DV2qUwZEjR6hbt66zpyEiIiIiIiIiIiIiUin89ttv1KlT57L71dQoA7vdzrFjx/Dz88NisTh7Ok6XmZlJ3bp1+e2337Qcl8moNsqBWakuzqcamJPqohyYmWpz4yjX5qXaFFEezEl1cS7l33xUE+XAzFSbkgzD4MyZM4SGhuLm5nbZ47T8VBm4ubldsWNUVfn7++s/oUmpNsqBWakuzqcamJPqohyYmWpz4yjX5qXaFFEezEl1cS7l33xUE+XAzFSbPwQEBFz1mMu3O0RERERERERERERERExETQ0REREREREREREREXEJampIufH29uaFF17A29vb2VORC6g2yoFZqS7OpxqYk+qiHJiZanPjKNfmpdoUUR7MSXVxLuXffFQT5cDMVJvS0Y3CRURERERERERERETEJehKDRERERERERERERERcQlqaoiIiIiIiIiIiIiIiEtQU0NERERERERERERERFyCmhoiIiIiIiIiIiIiIuIS1NSogoYPH47FYnF8BQYGEhUVxe7dux3HnL8/ICCAu+66i8TExIvGGDVq1EXjjxkzBovFwvDhw0tsnzVrFg0aNMDHx4cOHTqwffv2Evu7detW4vtebvzKzoz1+fXXXy+qTfHX0qVLq0QOAGw2G0OHDsVqteLr68vtt9/O559/Xr7Bm5hZ65KSkkL//v0JDg7G39+fAQMGkJaWVr7Bm4Az8r9p0yb69OlDaGgoFouFL7/88qLnGYbB888/T+3atalWrRo9e/bkl19+KdfYzcysdfniiy+IiIggMDAQi8XCrl27yjPsEsyYg4KCAiZNmkSrVq3w9fUlNDSUmJgYjh07Vu7xm50Z6wPw4osv0qxZM3x9fbn55pvp2bMn27ZtK9fYbzSz5vp8o0aNwmKxMHPmzLKG6zLMWpcL52WxWIiKiirX2K/2Pc2SC4C9e/fSt29fAgIC8PX1pX379hw+fLjcYjcrs9bkcud+b775ZrnG72xmPb/54IMP6NatG/7+/lgsFtLT08s1bjMzY01OnTrF448/TtOmTalWrRr16tXjiSeeICMjo/wTcEEMZsoDwGOPPUbjxo2pVq0awcHB9OvXj3379pVv8CZm1roUMwyDXr16XdPvhJWBmhpVVFRUFKmpqaSmprJu3To8PDy47777ShwTFxdHamoqW7duJSgoiPvuu48DBw449tetW5fFixeTm5vr2JaXl8eiRYuoV69eibGWLFnChAkTeOGFF9i5cydt2rQhMjKS48ePlzhu5MiRjnmlpqbyxhtvVED05me2+tStW7dEXVJTU5k6dSrVq1enV69eVSIHADExMSQnJ7N8+XJ++uknHnjgAQYMGMAPP/xQITkwI7PVJTs7m4iICCwWC4mJiWzdupX8/Hz69OmD3W6vwEw4x43Of3Z2Nm3atGHWrFmXndMbb7zBO++8w5w5c9i2bRu+vr5ERkaSl5dXTlGbnxnrkp2dTXh4ONOnTy+nKK/MbDnIyclh586dTJkyhZ07d/LFF1+QnJxM3759yzFq12G2+gDceuutvPfee/z0009s2bKFBg0aEBERwYkTJ8opaucwY66LLVu2jG+//ZbQ0NAyRul6zFqX8+eVmprKp59+Wg7RXpkZc5GSkkJ4eDjNmjVjw4YN7N69mylTpuDj41NOUZubGWty4bnfvHnzsFgsREdHl1PU5mG28xso+j0mKiqKZ599toKiNjez1eTYsWMcO3aMt956iz179jB//nwSEhJ45JFHKjAL5ssDQLt27YiLi2Pv3r2sWrUKwzCIiIigsLCwgrJgPmasS7GZM2disVjKOWITM6TKGTZsmNGvX78S2zZv3mwAxvHjxw3DMAzAWLZsmWP/0aNHDcCYM2dOiTFatmxpLFy40HHcJ598YrRu3dro16+fMWzYMMf2O++80xgzZozjcWFhoREaGmpMmzbNsa1r167Gk08+WX6Buiiz1udCbdu2NUaMGFGGSC/PrDnw9fU14uPjS8yrZs2axocffljWkF2CGeuyatUqw83NzcjIyHAck56eblgsFmPNmjXlFbopOCP/57twbMMwDLvdblitVuPNN990bEtPTze8vb2NTz/9tPTBuhAz1uV8Bw8eNADjhx9+KE1418TsOSi2fft2AzAOHTp0XfG5OlepT0ZGhgEYa9euva74zMTMuT5y5Ihxyy23GHv27DHq169vzJgxo7Rhuhyz1uVS86poZs3FwIEDjSFDhpQpNldl1ppcqF+/fsaf//zn64rNFZjx/OZ869evNwDj9OnTZQ/WRZi9JsU+++wzw8vLyygoKChDtJfnKnn48ccfDcDYv39/GaJ1HWauyw8//GDccsstRmpq6jW/trs6XakhZGVlsXDhQsLCwggMDLzkMdWqVQMgPz+/xPYRI0YQFxfneDxv3jxiY2NLHJOfn8+OHTvo2bOnY5ubmxs9e/YkKSmpxLGffPIJQUFBtGzZksmTJ5OTk1Om2CoDM9Wn2I4dO9i1a1eFfzKhmFly0LlzZ5YsWcKpU6ew2+0sXryYvLw8unXrVtYQXZIZ6nL27FksFgve3t6OY3x8fHBzc2PLli1lC9DkKjr/1+LgwYPYbLYSNQoICKBDhw6Xff2o7MxQF2czaw4yMjKwWCzUqFGjXMZzVWasT35+Ph988AEBAQG0adOmzOOZhVlybbfbGTp0KBMnTuS2224r1RiViVnqArBhwwZCQkJo2rQpo0eP5vfffy/1WKVhhlzY7XZWrlzJrbfeSmRkJCEhIXTo0KFKLJtxKWaoyYXS0tJYuXLlDTv3cyYznN9ISWatSUZGBv7+/nh4eFx3TKVhxjxkZ2cTFxdHw4YNqVu3bqnicnVmqUtOTg4PPfQQs2bNwmq1ljkuV6GmRhW1YsUKqlevTvXq1fHz82P58uUsWbIEN7eL/0nk5OTw3HPP4e7uTteuXUvsGzJkCFu2bOHQoUMcOnSIrVu3MmTIkBLHnDx5ksLCQmrVqlVie61atbDZbI7HDz30EAsXLmT9+vVMnjyZjz/++KKxqgoz1ud8c+fOpXnz5nTu3LmMkV6eGXPw2WefUVBQQGBgIN7e3jz22GMsW7aMsLCwcozc3MxWl44dO+Lr68ukSZPIyckhOzubv/3tbxQWFpKamlrO0Tvfjcz/tSiuw/W8flRGZquLM5g9B3l5eUyaNInBgwfj7+9f5vFcjVnrUzwvHx8fZsyYwZo1awgKCir1eGZgxlxPnz4dDw8PnnjiiVI9vzIwY12ioqKIj49n3bp1TJ8+nY0bN9KrV68KX8LDbLk4fvw4WVlZvP7660RFRbF69Wr69+/PAw88wMaNG0sdpysxW00utGDBAvz8/HjggQfKPJYZme38Rsxfk5MnT/Lyyy/z6KOPljHSKzNrHmbPnu2Y19dff82aNWvw8vIqp6jNz4x1GT9+PJ07d6Zfv37lGKn53ZiWophO9+7def/99wE4ffo0s2fPplevXmzfvp369esDMHjwYNzd3cnNzSU4OJi5c+fSunXrEuMEBwfTu3dv5s+fj2EY9O7du9Qno+f/QGjVqhW1a9emR48epKSk0Lhx41JG6prMWJ9iubm5LFq0iClTppRpnKsxYw6mTJlCeno6a9euJSgoiC+//JIBAwawefNmWrVqVbaAXYTZ6hIcHMzSpUsZPXo077zzDm5ubgwePJjbb7/9kr9UuDqz5V+KqC7mzkFBQQEDBgzAMAzHHKsas9ane/fu7Nq1i5MnT/Lhhx8yYMAAtm3bRkhISOmDdTKz5XrHjh28/fbb7Ny5s2qtsXwBs9UFYNCgQY6/t2rVitatW9O4cWM2bNhAjx49Shnp1ZktF8X3QOvXrx/jx48HoG3btnzzzTfMmTPnojeBKiOz1eRC8+bN4+GHH6609zgxe/6rIjPXJDMzk969e9OiRQtefPHFMo11NWbNw8MPP8w999xDamoqb731FgMGDGDr1q2V9jXiQmary/Lly0lMTKxS93otpqZGFeXr61vi0+UfffQRAQEBfPjhh7zyyisAzJgxg549exIQEEBwcPBlxxoxYgRjx44FuOTNxoKCgnB3dyctLa3E9rS0tCteFtWhQwcA9u/fX+WaGmauz7/+9S9ycnKIiYkpVWzXymw5SElJ4b333mPPnj2OpRvatGnD5s2bmTVrFnPmzClbwC7CbHUBiIiIICUlhZMnT+Lh4UGNGjWwWq00atSoTLGa0Y3M/7UorkNaWhq1a9d2bE9LS6Nt27alGtMVma0uzmDWHBQ3NA4dOkRiYmKVvEoDzFuf4nmFhYXRsWNHmjRpwty5c5k8eXKZxnUms+V68+bNHD9+vMRNJwsLC3nqqaeYOXMmv/76a6nGdTVmq8ulNGrUiKCgIPbv31+hTQ2z5SIoKAgPDw9atGhRYnvz5s0r/VKixcxWk/Nt3ryZ5ORklixZUuaxzMqM5zdVnVlrcubMGaKiovDz82PZsmV4enqWOsZrYdY8BAQEEBAQQJMmTejYsSM333wzy5YtY/DgwaWO1ZWYrS6JiYmkpKRctMRudHQ0d999Nxs2bChNmC6h8n2MVUrFYrHg5uZGbm6uY5vVaiUsLOyK/wGh6NLp/Px8CgoKiIyMvGi/l5cX7dq1Y926dY5tdruddevW0alTp8uOu2vXLoASb5RVVWaqz9y5c+nbt+9Vv295c3YOiu/vcuGn/93d3R2fMKuKnF2X8wUFBVGjRg0SExM5fvw4ffv2LUNkrqEi838tGjZsiNVqLVGjzMxMtm3bdsXX98rO2XUxAzPkoLih8csvv7B27drLrnNbFZmhPpdit9s5e/ZsuY7pbM7O9dChQ9m9eze7du1yfIWGhjJx4kRWrVpVqjErA2fX5VKOHDnC77//fsPPfZydCy8vL9q3b09ycnKJ7f/9738dn3itapxdk/PNnTuXdu3aVar7HV2Nmc5vpIgZapKZmUlERAReXl4sX77cKVclmCEPFzIMA8MwKt3vb9fD2XV55plnLvpdD4oaK+ffs6My0pUaVdTZs2cd66+dPn2a9957j6ysLPr06XPdY7m7u7N3717H3y9lwoQJDBs2jDvuuIM777yTmTNnkp2d7bgJTkpKCosWLeLee+8lMDCQ3bt3M378eLp06XLRJVpVgdnqU2z//v1s2rSJr7766rrncb3MloNmzZoRFhbGY489xltvvUVgYCBffvkla9asYcWKFaWM0vWYrS4AcXFxNG/enODgYJKSknjyyScZP348TZs2LUWE5naj85+VlcX+/fsdjw8ePMiuXbuoWbMm9erVw2KxMG7cOF555RWaNGlCw4YNmTJlCqGhodx///3XH6CLMltdAE6dOsXhw4c5duwYgOPNIqvVWiGfBDRbDgoKCnjwwQfZuXMnK1asoLCw0DG/mjVrVql1f8F89cnOzubVV1+lb9++1K5dm5MnTzJr1iyOHj3KX/7yl1JEaB5my3VgYOBFDT1PT0+sVmul/Dl5OWarS1ZWFlOnTiU6Ohqr1UpKSgpPP/00YWFhFd7QNlsuACZOnMjAgQPp0qUL3bt3JyEhgX//+9+V+tOl5zNjTaDoTdylS5fyj3/847rn4UrMeH5js9mw2WyOOv3000/4+flRr149atased3zcjVmq0lxQyMnJ4eFCxeSmZlJZmYmULSE0OXGLSuz5eHAgQMsWbKEiIgIgoODOXLkCK+//jrVqlXj3nvvLWWUrsdsdbnc+V29evVo2LDhdc/JlaipUUUlJCQ4PgXk5+dHs2bNWLp0Kd26dSvVeFdbzmHgwIGcOHGC559/HpvNRtu2bUlISHDc7MbLy4u1a9c6/nPWrVuX6OhonnvuuVLNx9WZrT7F5s2bR506dYiIiCjVPK6H2XLg6enJV199xTPPPEOfPn3IysoiLCyMBQsWVKkf4GarCxS9WTt58mROnTpFgwYN+Pvf/+5Yk7myudH5//777+nevbvj8YQJEwAYNmwY8+fPB+Dpp58mOzubRx99lPT0dMLDw0lISKgya6qCOeuyfPnyEifHxWu3v/DCCxWy/q/ZcnD06FGWL18OcNFSaOvXry/1vFyV2erj7u7Ovn37WLBgASdPniQwMJD27duzefNmxxKPrspsuZYiZquLu7s7u3fvZsGCBaSnpxMaGkpERAQvv/wy3t7epZrTtTJbLgD69+/PnDlzmDZtGk888QRNmzbl888/Jzw8vFRzcjVmrAnA4sWLMQyj0i8pY8bzmzlz5jB16lTH4y5dugBFH+YaPnx4qeblSsxWk507d7Jt2zaAEssOQVFTsEGDBqWa19WYLQ8+Pj5s3ryZmTNncvr0aWrVqkWXLl345ptvXPp+aNfLbHWpyiyGYRjOnoSIiIiIiIiIiIiIiMjV6J4aIiIiIiIiIiIiIiLiEtTUEBERERERERERERERl6CmhoiIiIiIiIiIiIiIuAQ1NURERERERERERERExCWoqSEiIiIiIiIiIiIiIi5BTQ0REREREREREREREXEJamqIiIiIiIiIiIiIiIhLUFNDRERERERERERERERcgpoaIiIiIiIiIiIiIiLiEtTUEBERERERERERERERl6CmhoiIiIiIiIiIiIiIuAQ1NURERERERERERERExCX8f3Sf38H0twtoAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For Lasso, alpha parameter can be scaned to gen desiered number of non-zero components\n",
    "\n",
    "lasso = Lasso(alpha=0.0001)\n",
    "lasso.fit(X, y)\n",
    "solution = lasso.coef_\n",
    "cx_out, cy_out = torch.tensor(solution, dtype=torch.float64).reshape(1 + 1, -1)\n",
    "\n",
    "# Compute orbit\n",
    "\n",
    "points, *_ = orbit(ring, fp, [error_cx - cx_out, error_cy - cy_out], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=8, epsilon=1.0E-6)\n",
    "qx_out, _, qy_out, _ = points.T\n",
    "\n",
    "# Plot final corrector settings\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cx)), error_cx.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cx)), +cx_out.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cy)), error_cy.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cy)), +cy_out.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Plot orbits\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx_out.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy_out.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "897c91d7-761a-4f2e-a4c3-e56b53ee9901",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For OMP, number of nonzero coefficient can be passed directly\n",
    "\n",
    "omp = OrthogonalMatchingPursuit(n_nonzero_coefs=8)\n",
    "omp.fit(X, y)\n",
    "\n",
    "solution = omp.coef_\n",
    "cx_out, cy_out = torch.tensor(solution, dtype=torch.float64).reshape(1 + 1, -1)\n",
    "\n",
    "# Compute orbit\n",
    "\n",
    "points, *_ = orbit(ring, fp, [error_cx - cx_out, error_cy - cy_out], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=8, epsilon=1.0E-6)\n",
    "qx_out, _, qy_out, _ = points.T\n",
    "\n",
    "# Plot final corrector settings\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cx)), error_cx.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cx)), +cx_out.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cy)), error_cy.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cy)), +cy_out.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Plot orbits\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx_out.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy_out.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "b8049e34-8042-4053-8b00-28d9ce67f766",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# For Lars, number of nonzero coefficient can be passed directly\n",
    "\n",
    "lars = Lars(n_nonzero_coefs=8)\n",
    "lars.fit(X, y)\n",
    "\n",
    "solution = lars.coef_\n",
    "cx_out, cy_out = torch.tensor(solution, dtype=torch.float64).reshape(1 + 1, -1)\n",
    "\n",
    "# Compute orbit\n",
    "\n",
    "points, *_ = orbit(ring, fp, [error_cx - cx_out, error_cy - cy_out], ('cx', ['Corrector'], None, None), ('cy', ['Corrector'], None, None), alignment=False, advance=True, full=False, limit=8, epsilon=1.0E-6)\n",
    "qx_out, _, qy_out, _ = points.T\n",
    "\n",
    "# Plot final corrector settings\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cx)), error_cx.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cx)), +cx_out.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.bar(range(len(error_cy)), error_cy.cpu().numpy(), color='red', alpha=0.75, width=1)\n",
    "plt.bar(range(len(cy)), +cy_out.cpu().numpy(), color='blue', alpha=0.75, width=0.75)\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "# Plot orbits\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qx_out.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "plt.figure(figsize=(16, 2))\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy_target.cpu().numpy(), fmt='-', color='blue', marker='o', ms=8, alpha=0.75)\n",
    "plt.errorbar(ring.locations().cpu().numpy(), qy_out.cpu().numpy(), fmt='-', color='red', marker='x', ms=8, alpha=0.75)\n",
    "plt.xticks(ticks=ring.locations(), labels=dict.fromkeys([name for name, kind, *_ in ring.layout() if kind == 'BPM']))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "dfe78e66-86ed-4bf0-b6eb-6402e7928d5a",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "colab": {
   "collapsed_sections": [
    "myt0_gMIOq7b",
    "5d97819c"
   ],
   "name": "03_frequency.ipynb",
   "provenance": []
  },
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
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