diff --git a/examples/TenSolver/README.md b/examples/TenSolver/README.md
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+# TenSolver Benchmark Example
+
+Benchmarking [TenSolver](https://github.com/SECQUOIA/TenSolver.jl) on 23 QUBO instances from the QpLib subset of QUBOLib (instances 308–330).
+
+## What's included
+
+- **Energy distribution visualizations** — heatmap showing how the sampled energy distribution evolves across DMRG iterations for a representative instance.
+- **Performance ratio** — computed against Gurobi's best-known objectives as the reference minimum and random bitstring sampling as the baseline.
+- **Bootstrap analysis** — performance ratio inferred for 1, 10, 100, and 1000 samples per iteration using the stochastic-benchmark framework.
+- **Resource analysis** — `iterations × samples` used as a proxy for compute; interpolation, train/test split, virtual best baseline, and projection experiments.
+
+## Data files
+
+| File | Description |
+|---|---|
+| `results/energy_history.json` | 1000 energy samples per DMRG iteration for all 23 instances |
+| `results/random_baseline.json` | Mean and min energy from 1000 random bitstrings per instance |
+| `results/gurobi_best.json` | Best objective found by Gurobi (900 s limit) per instance |
diff --git a/examples/TenSolver/TenSolver.ipynb b/examples/TenSolver/TenSolver.ipynb
new file mode 100644
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+++ b/examples/TenSolver/TenSolver.ipynb
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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "d2ce717d",
+   "metadata": {},
+   "source": [
+    "## TenSolver\n",
+    "\n",
+    "[TenSolver](https://github.com/SECQUOIA/TenSolver.jl) is a quantum-inspired optimization algorithm that solves Quadratic Unconstrained Binary Optimization (QUBO) problems. We will briefly go over the mechanism behind the algorithm.\n",
+    "\n",
+    "### QUBO\n",
+    "\n",
+    "A QUBO is a problem of the form\n",
+    "$$\n",
+    "\\min_{x \\in \\mathbb{B}^N} \\:  x^\\top Q x \\: = \\: \\min_{x \\in \\mathbb{B}^N} \\: \\sum_{i \\ge j} Q_{ij} x_i x_j \n",
+    "$$\n",
+    "\n",
+    "where $Q \\in \\mathbb{R}^{N \\times N}$ is a real matrix, $x$ is the vector of binary decision variables, and we write $\\mathbb{B} = \\{0,\\,1\\}$.\n",
+    "\n",
+    "### Hamiltonian Equivalence\n",
+    "\n",
+    "A QUBO problem can be reformulated as an eigenvalue problem by mapping it to a quantum many-body system.\n",
+    "In this reformulation, each binary variable $x_i$ is treated as a particle or a \"site\".\n",
+    "The binary values the variables can assume correspond to the basis states of a qubit.\n",
+    "\n",
+    "We can then construct a Hamiltonian by replacing the binary variables with single-site operators $D_i$ ($2 \\times 2$ diagonal matrices). In the new format, solving the QUBO amounts to finding the ground state of the corresponding Hamiltonian [1].\n",
+    "This reformulates a discrete optimization problem over binary variables as a continuous problem over complex variables.\n",
+    "\n",
+    "Despite this reformulation, the problem is still solved entirely on classical hardware.\n",
+    "We use tensors to represent both the Hamiltonian and the system states.\n",
+    "The issue is that those tensors are extremely large and difficult to work with. \n",
+    "The resulting Hamiltonian is a $2^N \\times 2^N$ matrix.\n",
+    "\n",
+    "### Tensor Networks\n",
+    "\n",
+    "Thankfully, we can use a mathematical tool called Tensor Network (TN) to compress these large tensors into a more manageable form.\n",
+    "These objects consist of products or contractions between tensors of different ranks (dimensions).\n",
+    "With this tool, the operators (QUBO Hamiltonians) are represented as Matrix Product Operators (MPOs), products of rank-4 tensors, while the states (QUBO solutions) are represented as Matrix Product States (MPSs), products of rank-3 tensors [2].\n",
+    "\n",
+    "Computationally, we need to find an MPS that, when contracted with the MPO, results in the smallest value.\n",
+    "\n",
+    "### DMRG\n",
+    "\n",
+    "DMRG is an algorithm that does precisely this [3, 4].\n",
+    "It iteratively approximates the ground state of a Hamiltonian using the tensor network representation of these objects.\n",
+    "\n",
+    "### TenSolver\n",
+    "\n",
+    "Finally, the TenSolver algorithm works by:\n",
+    "\n",
+    "- Finding the MPO representation of the QUBO problem.\n",
+    "- Applying DMRG consecutively with a random initial MPS, getting better approximations each time.\n",
+    "- Sampling solutions according to the final state and calculating the objective value.\n",
+    "\n",
+    "The implementation is built on top of the [ITensors.jl](https://docs.itensor.org/Overview/) package [5]."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "ab3fd2ef",
+   "metadata": {},
+   "source": [
+    "## Problem Instances\n",
+    "\n",
+    "The problem instances used in this example were extracted from the [QUBOLib benchmark](https://github.com/JuliaQUBO/QUBOLib.jl) [6], more specifically, the QPLib subset [7].\n",
+    "It includes instances 308 to 330, with variable counts ranging from 120 to 1225.\n",
+    "\n",
+    "| **Instance** | 308 | 309 | 310 | 311 | 312 | 313 | 314 | 315 | 316 | 317 | 318 | 319 |\n",
+    "| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n",
+    "| **Dimension** | 496 | 276 | 1035 | 946 | 1128 | 378 | 703 | 435 | 325 | 861 | 561 | 780 |\n",
+    "\n",
+    "<br>\n",
+    "\n",
+    "| **Instance** | 320 | 321 | 322 | 323 | 324 | 325 | 326 | 327 | 328 | 329 | 330 |\n",
+    "| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |\n",
+    "| **Dimension** | 1225 | 231 | 630 | 300 | 343 | 400 | 200 | 120 | 150 | 250 | 500 |\n",
+    "\n",
+    "Each instance's data comprises 1000 energy samples extracted at each DMRG iteration.\n",
+    "Those instances were solved on a 6-core CPU using the following set of parameters in TenSolver:\n",
+    "\n",
+    "```julia\n",
+    "n, L, Q, a, b = QUBOTools.qubo(qubo_model, :sparse; sense = :min)\n",
+    "println(\"Instance size: n=$n\")\n",
+    "\n",
+    "local E, psi, elapsed_time\n",
+    "hist = TenSolver.IterationSnapshot[]\n",
+    "\n",
+    "results = @timed TenSolver.minimize(\n",
+    "    Q, L, b;\n",
+    "    device     = identity,\n",
+    "    time_limit = 900,\n",
+    "    vtol       = 0.0,\n",
+    "    iterations = 50,\n",
+    "    cutoff     = 1e-3,\n",
+    "    maxdim     = [4, 4, 4, 4, 4, 6, 8, 10, 10, 10, 10, 10, 10],\n",
+    "    mindim     = 4,\n",
+    "    noise      = [\n",
+    "        1e-2, 1e-2, 1e-2, 1e-2, \n",
+    "        1e-2, 1e-3, 1e-3, 1e-3, \n",
+    "        1e-4, 1e-5, 1e-6, 0.0\n",
+    "    ],\n",
+    "    check_variance_every_iteration = 5,\n",
+    "    verbosity  = 1,\n",
+    "    eigsolve_tol       = 1e-6,\n",
+    "    eigsolve_krylovdim = 2,\n",
+    "    history    = hist,\n",
+    ")\n",
+    "E, psi = results.value\n",
+    "elapsed_time = results.time\n",
+    "\n",
+    "```\n",
+    "\n",
+    "Compared to the default values of the solver, here we used larger noise values and a smaller maximum dimension.\n",
+    "This choice was made to keep the energy distribution spread over more iterations during the solving process, as the default parameters frequently cause early distribution collapse..\n",
+    "\n",
+    "Here is a summary of the data:\n",
+    "\n",
+    "| **Instance**   | 308   | 309   | 310    | 311    | 312    | 313   | 314    | 315   | 316   | 317    | 318   | 319    | 320    | 321   |\n",
+    "| :---           | :---  | :---  | :---   | :---   | :---   | :---  | :---   | :---  | :---  | :---   | :---  | :---   | :---   | :---  |\n",
+    "| **Objective**  | -724  | -388  | -1458  | -1368  | -1618  | -524  | -1014  | -608  | -466  | -1208  | -784  | -1146  | -1786  | -312  |\n",
+    "| **Iterations** | 5     | 3     | 5      | 5      | 5      | 4     | 4      | 3     | 2     | 5      | 3     | 4      | 5      | 3     |\n",
+    "\n",
+    "<br>\n",
+    "\n",
+    "| **Instance**   | 322  | 323        | 324        | 325        | 326        | 327        | 328        | 329        | 330        |\n",
+    "| :---           | :--- | :---       | :---       | :---       | :---       | :---       | :---       | :---       | :---       |\n",
+    "| **Objective**  | -922 | -2.396e+07 | -7.169e+07 | -6.784e+07 | -8.586e+04 | -2.487e+04 | -4.984e+04 | -6.803e+04 | -2.556e+05 |\n",
+    "| **Iterations** | 4    | 42         | 15         | 22         | 48         | 13         | 10         | 6          | 21         |\n",
+    "\n",
+    "*Note:* The table shows the last iteration at which changes were observed in the objective value or energy distribution, not necessarily the total number of iterations the algorithm performed."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "896592b0",
+   "metadata": {},
+   "source": [
+    "## Natural Questions\n",
+    "\n",
+    "Let's gain some intuition about the data by observing how the energy distribution evolves over the iterations."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "1v5cqytvnhf",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2026-05-21T14:17:07.561362Z",
+     "iopub.status.busy": "2026-05-21T14:17:07.561009Z",
+     "iopub.status.idle": "2026-05-21T14:17:08.234571Z",
+     "shell.execute_reply": "2026-05-21T14:17:08.233780Z"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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+      "text/plain": [
+       "<Figure size 1400x600 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import json\n",
+    "import sys\n",
+    "from pathlib import Path\n",
+    "\n",
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "from matplotlib.colors import LogNorm, LinearSegmentedColormap\n",
+    "\n",
+    "\n",
+    "def find_tensolver_dir():\n",
+    "    cwd = Path.cwd().resolve()\n",
+    "    candidates = [cwd, cwd / \"examples\" / \"TenSolver\"]\n",
+    "    for candidate in candidates:\n",
+    "        if (candidate / \"results\" / \"energy_history.json\").exists():\n",
+    "            return candidate\n",
+    "    raise FileNotFoundError(\n",
+    "        \"Could not locate examples/TenSolver/results. \"\n",
+    "        \"Run this notebook from the repository root or examples/TenSolver.\"\n",
+    "    )\n",
+    "\n",
+    "\n",
+    "HERE = find_tensolver_dir()\n",
+    "REPO_ROOT = HERE.parents[1]\n",
+    "SRC_PATH = REPO_ROOT / \"src\"\n",
+    "if str(SRC_PATH) not in sys.path:\n",
+    "    sys.path.insert(0, str(SRC_PATH))\n",
+    "\n",
+    "RANDOM_SEED = 42\n",
+    "\n",
+    "with open(HERE / \"results\" / \"energy_history.json\") as f:\n",
+    "    all_data = json.load(f)\n",
+    "\n",
+    "instance = \"323\"\n",
+    "data = all_data[instance]\n",
+    "\n",
+    "iterations = [entry[\"iteration\"] for entry in data]\n",
+    "all_energies = [entry[\"energies\"] for entry in data]\n",
+    "\n",
+    "n_bins = 80\n",
+    "all_flat = [e for energies in all_energies for e in energies]\n",
+    "bins = np.linspace(min(all_flat), max(all_flat), n_bins + 1)\n",
+    "\n",
+    "matrix = np.array([np.histogram(energies, bins=bins)[0] for energies in all_energies]).T\n",
+    "\n",
+    "blue_to_red = LinearSegmentedColormap.from_list(\"blue_red\", [\"blue\", \"red\"])\n",
+    "\n",
+    "fig, ax = plt.subplots(figsize=(14, 6))\n",
+    "\n",
+    "im = ax.imshow(\n",
+    "    matrix,\n",
+    "    aspect=\"auto\",\n",
+    "    origin=\"lower\",\n",
+    "    norm=LogNorm(vmin=1, vmax=matrix.max()),\n",
+    "    cmap=blue_to_red,\n",
+    "    interpolation=\"nearest\",\n",
+    "    extent=[iterations[0] - 0.5, iterations[-1] + 0.5, bins[0], bins[-1]],\n",
+    ")\n",
+    "\n",
+    "n_yticks = 6\n",
+    "ytick_vals = np.linspace(bins[0], bins[-1], n_yticks)\n",
+    "ax.set_yticks(ytick_vals)\n",
+    "ax.set_yticklabels([f\"{int(v)}\" for v in ytick_vals], fontsize=9)\n",
+    "\n",
+    "ax.set_xlabel(\"Iteration\")\n",
+    "ax.set_ylabel(\"Energy\")\n",
+    "ax.set_title(f\"Instance {instance} - Energy Distribution per DMRG Iteration\")\n",
+    "\n",
+    "fig.colorbar(im, ax=ax, label=\"Sample Count\")\n",
+    "\n",
+    "plt.tight_layout()\n",
+    "plt.show()\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "6c36eda5",
+   "metadata": {},
+   "source": [
+    "This graph shows the number of energy samples at each energy level across DMRG iterations.\n",
+    "\n",
+    "There are two quantities at play: the number of iterations and the number of energy samples per iteration.\n",
+    "As the number of iterations increases, the number of unique energies decreases and the distribution becomes more concentrated.\n",
+    "\n",
+    "Since we are interested in getting the best possible objective value while ideally minimizing work, it is only natural to question how many iterations and how many samples are sufficient for our needs.\n",
+    "\n",
+    "These are the questions we will try to answer by applying Stochastic Benchmark."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "22ecf151",
+   "metadata": {},
+   "source": [
+    "## Performance Metric\n",
+    "\n",
+    "To enable meaningful comparisons, we use the performance ratio as a common metric.\n",
+    "In this particular problem, it is calculated as follows:\n",
+    "\n",
+    "- First, we sample a subset from the input space and calculate the associated energies. Specifically, we use 1000 random bitstrings.\n",
+    "- The mean energy across the random sample is denoted as `random`.\n",
+    "- We also load the best energy found by Gurobi via Branch and Bound. We denote this value as `minimum`. Note that a 900-second time limit was applied, so optimality is not guaranteed in all cases.\n",
+    "- The performance ratio is calculated across an increasing number of iterations, where `found` is the best energy found at the current point in the algorithm's execution.\n",
+    "\n",
+    "$$\n",
+    "\\text{performance ratio} = \\frac{\\text{found} - \\text{random}}{\\text{minimum} - \\text{random}}\n",
+    "$$\n",
+    "\n",
+    "A performance ratio of 0 means the solver did not improve over the random baseline, while a ratio of 1 means it matched Gurobi's best-known solution."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "e3c9bc46",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2026-05-21T14:17:08.236257Z",
+     "iopub.status.busy": "2026-05-21T14:17:08.236058Z",
+     "iopub.status.idle": "2026-05-21T14:17:08.401045Z",
+     "shell.execute_reply": "2026-05-21T14:17:08.400596Z"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>random_mean</th>\n",
+       "      <th>gurobi_best</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>instance</th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>308</th>\n",
+       "      <td>1.006</td>\n",
+       "      <td>-806</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>309</th>\n",
+       "      <td>-0.854</td>\n",
+       "      <td>-440</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>310</th>\n",
+       "      <td>-0.024</td>\n",
+       "      <td>-1686</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>311</th>\n",
+       "      <td>-0.842</td>\n",
+       "      <td>-1542</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>312</th>\n",
+       "      <td>0.182</td>\n",
+       "      <td>-1844</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>313</th>\n",
+       "      <td>0.002</td>\n",
+       "      <td>-614</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>314</th>\n",
+       "      <td>0.980</td>\n",
+       "      <td>-1142</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>315</th>\n",
+       "      <td>0.580</td>\n",
+       "      <td>-688</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>316</th>\n",
+       "      <td>0.200</td>\n",
+       "      <td>-514</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>317</th>\n",
+       "      <td>0.068</td>\n",
+       "      <td>-1402</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>318</th>\n",
+       "      <td>-0.594</td>\n",
+       "      <td>-900</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>319</th>\n",
+       "      <td>0.704</td>\n",
+       "      <td>-1298</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>320</th>\n",
+       "      <td>0.324</td>\n",
+       "      <td>-2022</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>321</th>\n",
+       "      <td>0.184</td>\n",
+       "      <td>-362</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>322</th>\n",
+       "      <td>-1.716</td>\n",
+       "      <td>-1040</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>323</th>\n",
+       "      <td>40188.760</td>\n",
+       "      <td>-23964950</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>324</th>\n",
+       "      <td>-115003.933</td>\n",
+       "      <td>-74347446</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>325</th>\n",
+       "      <td>157278.414</td>\n",
+       "      <td>-68476481</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>326</th>\n",
+       "      <td>3487.903</td>\n",
+       "      <td>-86899</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>327</th>\n",
+       "      <td>-489.928</td>\n",
+       "      <td>-25305</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>328</th>\n",
+       "      <td>4284.271</td>\n",
+       "      <td>-50321</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>329</th>\n",
+       "      <td>6463.065</td>\n",
+       "      <td>-71422</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>330</th>\n",
+       "      <td>-4674.083</td>\n",
+       "      <td>-256359</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "          random_mean  gurobi_best\n",
+       "instance                          \n",
+       "308             1.006         -806\n",
+       "309            -0.854         -440\n",
+       "310            -0.024        -1686\n",
+       "311            -0.842        -1542\n",
+       "312             0.182        -1844\n",
+       "313             0.002         -614\n",
+       "314             0.980        -1142\n",
+       "315             0.580         -688\n",
+       "316             0.200         -514\n",
+       "317             0.068        -1402\n",
+       "318            -0.594         -900\n",
+       "319             0.704        -1298\n",
+       "320             0.324        -2022\n",
+       "321             0.184         -362\n",
+       "322            -1.716        -1040\n",
+       "323         40188.760    -23964950\n",
+       "324       -115003.933    -74347446\n",
+       "325        157278.414    -68476481\n",
+       "326          3487.903       -86899\n",
+       "327          -489.928       -25305\n",
+       "328          4284.271       -50321\n",
+       "329          6463.065       -71422\n",
+       "330         -4674.083      -256359"
+      ]
+     },
+     "execution_count": 2,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "import json\n",
+    "\n",
+    "import pandas as pd\n",
+    "\n",
+    "with open(HERE / \"results\" / \"random_baseline.json\") as f:\n",
+    "    random_baseline_raw = json.load(f)\n",
+    "\n",
+    "with open(HERE / \"results\" / \"gurobi_best.json\") as f:\n",
+    "    gurobi_best = json.load(f)\n",
+    "\n",
+    "# Map QPLIB ID (308-330) to baselines\n",
+    "# random_baseline.json uses QUBOLib IDs (5808-5830), shifted by 5500\n",
+    "# gurobi_best.json uses QPLIB IDs (308-330) directly\n",
+    "baselines = {}\n",
+    "for qplib_id in range(308, 331):\n",
+    "    qubolib_key = str(qplib_id + 5500)\n",
+    "    qplib_key = str(qplib_id)\n",
+    "    if qubolib_key in random_baseline_raw and qplib_key in gurobi_best:\n",
+    "        rb = random_baseline_raw[qubolib_key]\n",
+    "        baselines[qplib_key] = {\n",
+    "            \"random_value\": rb[\"random_mean\"],\n",
+    "            \"best_value\": gurobi_best[qplib_key][\"best_objective\"],\n",
+    "        }\n",
+    "\n",
+    "rows = [\n",
+    "    {\n",
+    "        \"instance\": k,\n",
+    "        \"random_mean\": v[\"random_value\"],\n",
+    "        \"gurobi_best\": v[\"best_value\"],\n",
+    "    }\n",
+    "    for k, v in baselines.items()\n",
+    "]\n",
+    "pd.DataFrame(rows).set_index(\"instance\")\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "1603c5fa",
+   "metadata": {},
+   "source": [
+    "## Bootstrap\n",
+    "\n",
+    "Note that although we sampled 1000 energies at each iteration when solving the instances, we are interested in comparing performance across different numbers of samples.\n",
+    "\n",
+    "Bootstrapping allows us to statistically infer what those distributions would look like had we solved the instances with a different number of samples.\n",
+    "Here we bootstrap the data for 1, 10, 100, and 1000 samples."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "697610bc",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2026-05-21T14:17:08.403071Z",
+     "iopub.status.busy": "2026-05-21T14:17:08.402907Z",
+     "iopub.status.idle": "2026-05-21T14:17:19.375066Z",
+     "shell.execute_reply": "2026-05-21T14:17:19.374436Z"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
+       "    }\n",
+       "\n",
+       "    .dataframe thead th {\n",
+       "        text-align: right;\n",
+       "    }\n",
+       "</style>\n",
+       "<table border=\"1\" class=\"dataframe\">\n",
+       "  <thead>\n",
+       "    <tr style=\"text-align: right;\">\n",
+       "      <th></th>\n",
+       "      <th>instance</th>\n",
+       "      <th>iteration</th>\n",
+       "      <th>Key=Response</th>\n",
+       "      <th>ConfInt=lower_Key=Response</th>\n",
+       "      <th>ConfInt=upper_Key=Response</th>\n",
+       "      <th>Key=PerfRatio</th>\n",
+       "      <th>ConfInt=lower_Key=PerfRatio</th>\n",
+       "      <th>ConfInt=upper_Key=PerfRatio</th>\n",
+       "      <th>boots</th>\n",
+       "      <th>samples</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>308</td>\n",
+       "      <td>1</td>\n",
+       "      <td>-656.540</td>\n",
+       "      <td>-662.097267</td>\n",
+       "      <td>-650.982733</td>\n",
+       "      <td>0.814797</td>\n",
+       "      <td>0.807911</td>\n",
+       "      <td>0.821683</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>308</td>\n",
+       "      <td>2</td>\n",
+       "      <td>-691.914</td>\n",
+       "      <td>-692.354943</td>\n",
+       "      <td>-691.473057</td>\n",
+       "      <td>0.858631</td>\n",
+       "      <td>0.858084</td>\n",
+       "      <td>0.859177</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>308</td>\n",
+       "      <td>3</td>\n",
+       "      <td>-718.004</td>\n",
+       "      <td>-718.753470</td>\n",
+       "      <td>-717.254530</td>\n",
+       "      <td>0.890960</td>\n",
+       "      <td>0.890031</td>\n",
+       "      <td>0.891889</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>308</td>\n",
+       "      <td>4</td>\n",
+       "      <td>-722.026</td>\n",
+       "      <td>-722.251292</td>\n",
+       "      <td>-721.800708</td>\n",
+       "      <td>0.895944</td>\n",
+       "      <td>0.895665</td>\n",
+       "      <td>0.896223</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>308</td>\n",
+       "      <td>5</td>\n",
+       "      <td>-724.000</td>\n",
+       "      <td>-724.000000</td>\n",
+       "      <td>-724.000000</td>\n",
+       "      <td>0.898390</td>\n",
+       "      <td>0.898390</td>\n",
+       "      <td>0.898390</td>\n",
+       "      <td>1</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "   instance  iteration  Key=Response  ConfInt=lower_Key=Response  \\\n",
+       "0       308          1      -656.540                 -662.097267   \n",
+       "1       308          2      -691.914                 -692.354943   \n",
+       "2       308          3      -718.004                 -718.753470   \n",
+       "3       308          4      -722.026                 -722.251292   \n",
+       "4       308          5      -724.000                 -724.000000   \n",
+       "\n",
+       "   ConfInt=upper_Key=Response  Key=PerfRatio  ConfInt=lower_Key=PerfRatio  \\\n",
+       "0                 -650.982733       0.814797                     0.807911   \n",
+       "1                 -691.473057       0.858631                     0.858084   \n",
+       "2                 -717.254530       0.890960                     0.890031   \n",
+       "3                 -721.800708       0.895944                     0.895665   \n",
+       "4                 -724.000000       0.898390                     0.898390   \n",
+       "\n",
+       "   ConfInt=upper_Key=PerfRatio  boots  samples  \n",
+       "0                     0.821683      1        1  \n",
+       "1                     0.859177      1        1  \n",
+       "2                     0.891889      1        1  \n",
+       "3                     0.896223      1        1  \n",
+       "4                     0.898390      1        1  "
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "import numpy as np\n",
+    "import stochastic_benchmark as SB\n",
+    "import bootstrap\n",
+    "import success_metrics\n",
+    "\n",
+    "\n",
+    "class PerfRatioUnclipped(success_metrics.PerfRatio):\n",
+    "    def evaluate(self, bs_df, responses, resources):\n",
+    "        super().evaluate(bs_df, responses, resources, lower=None, upper=None)\n",
+    "\n",
+    "\n",
+    "# Load energy history (QPLIB IDs 308-330)\n",
+    "with open(HERE / \"results\" / \"energy_history.json\") as f:\n",
+    "    all_data = json.load(f)\n",
+    "\n",
+    "\n",
+    "def build_granular_df(instance_key, data):\n",
+    "    rows = []\n",
+    "    for entry in data:\n",
+    "        n = len(entry[\"energies\"])\n",
+    "        rows.append(pd.DataFrame({\n",
+    "            \"instance\": [int(instance_key)] * n,\n",
+    "            \"iteration\": [entry[\"iteration\"]] * n,\n",
+    "            \"energy\": entry[\"energies\"],\n",
+    "            \"resource\": np.ones(n, dtype=int),\n",
+    "        }))\n",
+    "    return pd.concat(rows, ignore_index=True)\n",
+    "\n",
+    "\n",
+    "# Initialize stochastic_benchmark\n",
+    "sb = SB.stochastic_benchmark(\n",
+    "    parameter_names=[\"iteration\", \"samples\"],\n",
+    "    here=str(HERE),\n",
+    "    instance_cols=[\"instance\"],\n",
+    "    response_key=\"PerfRatio\",\n",
+    "    response_dir=1,\n",
+    "    smooth=True,\n",
+    "    recover=False,\n",
+    "    reduce_mem=False,\n",
+    ")\n",
+    "\n",
+    "sample_counts = [1, 10, 100, 1000]\n",
+    "\n",
+    "np.random.seed(RANDOM_SEED)\n",
+    "\n",
+    "# Run bootstrap per instance with hardcoded baselines to keep per-instance references explicit\n",
+    "bs_results = []\n",
+    "for inst_key, data in all_data.items():\n",
+    "    if inst_key not in baselines or data is None:\n",
+    "        continue\n",
+    "\n",
+    "    inst_df = build_granular_df(inst_key, data)\n",
+    "    baseline = baselines[inst_key]\n",
+    "\n",
+    "    bsParams = bootstrap.BootstrapParameters(\n",
+    "        shared_args={\n",
+    "            \"response_col\": \"energy\",\n",
+    "            \"resource_col\": \"resource\",\n",
+    "            \"random_value\": baseline[\"random_value\"],\n",
+    "            \"best_value\": baseline[\"best_value\"],\n",
+    "            \"confidence_level\": 68,\n",
+    "        },\n",
+    "        metric_args={\"Response\": {\"opt_sense\": -1}},\n",
+    "        success_metrics=[success_metrics.Response, PerfRatioUnclipped],\n",
+    "        bootstrap_iterations=1000,\n",
+    "        update_rule=lambda bs_params, df: None,\n",
+    "    )\n",
+    "\n",
+    "    bsParams_iter = bootstrap.BSParams_range_iter()(bsParams, sample_counts)\n",
+    "    bs_inst = bootstrap.Bootstrap(\n",
+    "        inst_df,\n",
+    "        group_on=[\"instance\", \"iteration\"],\n",
+    "        bs_params_list=bsParams_iter,\n",
+    "    )\n",
+    "    bs_results.append(bs_inst)\n",
+    "\n",
+    "bs_df = pd.concat(bs_results, ignore_index=True)\n",
+    "bs_df[\"samples\"] = bs_df[\"boots\"]\n",
+    "\n",
+    "sb.set_Bootstrap(bs_df)\n",
+    "\n",
+    "bs_df.head()\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "0a81bfb0",
+   "metadata": {},
+   "source": [
+    "## Resource Proxy for Time\n",
+    "\n",
+    "Given the quantities we are studying (number of iterations and number of samples), we need to define the resource we are interested in minimizing.\n",
+    "In this case, we can use `iterations × samples` as a proxy for the running time of the algorithm.\n",
+    "\n",
+    "The reason we will not use the recorded wall-clock time directly is that it varies across runs and computing environments.\n",
+    "For our objective of finding better combinations of parameters, it is useful to work with more stable metrics."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "d3b4dbf6",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2026-05-21T14:17:19.376897Z",
+     "iopub.status.busy": "2026-05-21T14:17:19.376719Z",
+     "iopub.status.idle": "2026-05-21T14:17:22.750365Z",
+     "shell.execute_reply": "2026-05-21T14:17:22.749758Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "import interpolate\n",
+    "\n",
+    "def resource_fcn(df):\n",
+    "    return df[\"iteration\"] * df[\"samples\"]\n",
+    "\n",
+    "iParams = interpolate.InterpolationParameters(resource_fcn, parameters=[\"iteration\", \"samples\"])\n",
+    "sb.run_Interpolate(iParams)\n",
+    "\n",
+    "if sb.interp_results.index.names[0] is not None:\n",
+    "    sb.interp_results.reset_index(inplace=True)\n",
+    "    sb.interp_results.to_pickle(sb.here.interpolate)\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "7e57e1fa",
+   "metadata": {},
+   "source": [
+    "## Initial Investigation"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "171656634ab",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2026-05-21T14:17:22.752724Z",
+     "iopub.status.busy": "2026-05-21T14:17:22.752576Z",
+     "iopub.status.idle": "2026-05-21T14:17:22.762703Z",
+     "shell.execute_reply": "2026-05-21T14:17:22.762009Z"
+    }
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Instance 326  (n=200 variables)\n",
+      "Samples     |Min PerfRatio     |At Iter   |Max PerfRatio     |At Iter   \n",
+      "------------|------------------|----------|------------------|----------\n",
+      "1           |0.9406            |1         |0.9885            |45        \n",
+      "------------|------------------|----------|------------------|----------\n",
+      "10          |0.9469            |1         |0.9885            |40        \n",
+      "------------|------------------|----------|------------------|----------\n",
+      "100         |0.9493            |1         |0.9885            |38        \n",
+      "------------|------------------|----------|------------------|----------\n",
+      "1000        |0.9504            |1         |0.9885            |35        \n",
+      "------------|------------------|----------|------------------|----------\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Performance ratio range for instance 326 across sample counts\n",
+    "inst_df = bs_df[bs_df[\"instance\"] == 326]\n",
+    "perf_col = \"Key=PerfRatio\"\n",
+    "\n",
+    "def find_iter_at(df, fn):\n",
+    "    val = fn(df[perf_col])\n",
+    "    return df[df[perf_col] == val][\"iteration\"].values[0], float(val)\n",
+    "\n",
+    "print(f\"Instance 326  (n=200 variables)\")\n",
+    "print(f\"{'Samples':<12}|{'Min PerfRatio':<18}|{'At Iter':<10}|{'Max PerfRatio':<18}|{'At Iter':<10}\")\n",
+    "print(\"-\"*12 + \"|\" + \"-\"*18 + \"|\" + \"-\"*10 + \"|\" + \"-\"*18 + \"|\" + \"-\"*10)\n",
+    "for n_samp in [1, 10, 100, 1000]:\n",
+    "    df = inst_df[inst_df[\"samples\"] == n_samp]\n",
+    "    min_iter, min_val = find_iter_at(df, min)\n",
+    "    max_iter, max_val = find_iter_at(df, max)\n",
+    "    print(f\"{n_samp:<12}|{min_val:<18.4f}|{min_iter:<10}|{max_val:<18.4f}|{max_iter:<10}\")\n",
+    "    print(\"-\"*12 + \"|\" + \"-\"*18 + \"|\" + \"-\"*10 + \"|\" + \"-\"*18 + \"|\" + \"-\"*10)\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "859ae1c4",
+   "metadata": {},
+   "source": [
+    "This basic overview reveals two key observations:\n",
+    "- Increasing the number of samples does not yield better objective values by the final iteration, which makes sense since the energy distribution converges to a single value by the end.\n",
+    "- Increasing the number of samples does help achieve better values in fewer iterations, but does not reduce the required iteration count by an order of magnitude or more. In other words, the reduction in iterations does not justify the increase in the number of samples.\n",
+    "\n",
+    "Overall, this indicates that using a small number of samples is the better option, but it does not answer all of our questions:\n",
+    "\n",
+    "- How should the parameters be distributed given a fixed resource budget?\n",
+    "- How close to the virtual best does a given resource budget get us?\n",
+    "\n",
+    "These questions will be answered by the complete framework evaluation."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "21136cdd86c",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2026-05-21T14:17:22.764151Z",
+     "iopub.status.busy": "2026-05-21T14:17:22.764011Z",
+     "iopub.status.idle": "2026-05-21T14:17:22.877103Z",
+     "shell.execute_reply": "2026-05-21T14:17:22.876537Z"
+    }
+   },
+   "outputs": [],
+   "source": [
+    "import stats\n",
+    "\n",
+    "train_test_split = 0.8\n",
+    "stParams = stats.StatsParameters(metrics=[\"PerfRatio\"], stats_measures=[stats.Median()])\n",
+    "\n",
+    "np.random.seed(RANDOM_SEED)\n",
+    "sb.run_Stats(stParams, train_test_split)\n",
+    "\n",
+    "sb.run_baseline()\n",
+    "\n",
+    "sb.run_ProjectionExperiment(\"TrainingStats\", None, None)\n",
+    "sb.run_ProjectionExperiment(\"TrainingResults\", None, None)\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "f1d36e2367f",
+   "metadata": {
+    "execution": {
+     "iopub.execute_input": "2026-05-21T14:17:22.879304Z",
+     "iopub.status.busy": "2026-05-21T14:17:22.879133Z",
+     "iopub.status.idle": "2026-05-21T14:17:24.511231Z",
+     "shell.execute_reply": "2026-05-21T14:17:24.510603Z"
+    }
+   },
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 680x500 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 680x500 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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TlfsLMCgoiJSUFFNQiDGzd7Vt27bxzjvvMHDgQDAG32lpaVbfQ1kgXZaR6NKlC8eOHeP666+v9Bo3NzcGDx7M4MGDmThxIm3btuXgwYN06dKlwvsRQgiArMx89NfUty3QlP5Bd9IQxopLd3DhSlfTsfAIX847aTiWF0OUyzHOFLYhX3dTle/xp0KF51+7b0fe1jp//Tfvk/h26t8khpfrw8qVK5k2bRqLFy+mZ8+eLFq0iISEBI4dO1Zu9BNgxYoVTJ8+naVLl9KrVy+OHz/OmDFjUBTFNG/i5Zdf5t133+Wjjz6iffv2/Prrr4wdOxYfHx/TBEx7ahABYosWLQgNDWXTpk2mgDA7O5udO3cyYcIEMA4LZGZmsmfPHrp2Lf1HunnzZgwGg+mv3djYWJ577jmKi4tNWYGNGzfSpk2bKjM3TZGnpyfDhw/nmWeeITs7mzFjxljdRlRUFImJidx33324uLgQGBhIv379uHTpEq+88grDhg1j/fr1fPfdd2bBdevWrfnkk0/o1q0b2dnZPPXUUxVmsK6VmZlJSkoKBoOBEydOMHfuXP72t7/Rrl07AGbNmsUdd9xBZGQkw4YNQ6PRcODAAQ4dOsQLL7zA8uXL0ev19OzZE3d3d/7zn//g5uZG8+bNK70fIYQASL+UW26fj1L6aMCu4p5mwaGiKGiNRaXzdTeRHjKQfAvrIFZ0/rX76uO1V+wYejWhOoh1XSh74cKFjBs3jrFjxwKwePFi/ve//7F06VKmT59e7vzt27fTu3dv7r//fjD+fhoxYgQ7d+40O2fIkCEMGjTIdM5nn33Grl27bHZfVamzWcw5OTns37/flG06ffo0+/fvJykpCUVRmDJlCi+88AJr1qzh4MGDPPjgg4SFhZmGLNq1a8dtt93GuHHj2LVrF9u2bWPSpEncd999hIWFAXD//fej0+l4+OGH+f3331m5ciWvv/4606ZNq6vbbFAefvhhLl++TEJCgukzssbcuXM5c+YMrVq1Iiio9MHrdu3a8c477/D222/TuXNndu3axZNPPml23Ycffsjly5fp0qULo0aN4vHHH6/wL6hrjR07lmbNmnHdddcxYsQI2rdvz3fffWcazkxISGDt2rV8//33dO/enRtvvJF///vfpgDQ19eXDz74gN69e9OpUyd++OEH/vvf/5qGFSu6HyGEoJIAMUC5BECWwfyxBmfnih8tEg2HATAoNd+KSorIL8g1bQUF5b8/yhQVFbFnzx6zibYajYb4+Hh27NhR4TW9evViz549pmDv1KlTrFu3zjTyVnbOpk2bOH78OAAHDhzg559/5vbbb7fhJ1W5Ossg/vrrr2bPe5QFbaNHj2b58uX885//JDc3l/Hjx5OZmUmfPn1Yv3692TNOn376KZMmTeKWW25Bo9Fw991388Ybb5iO+/j48P333zNx4kS6du1KYGAgs2bNMquV6EhiY2PNHuYvM2fOHObMmWN6fW3NxDI33ngjBw4cKLf/0Ucf5dFHHzXb9+yzz5r+PyYmht27d5sdHzZsmNnra/tVUT8rkpCQQEJCQoXHhg4dWuUzUJXdjxBCVBQgBlH6aMyVEvNnV511EiA2dTs3fsKO9cssOjctLQ29Xl/hRNujRyuetHT//feTlpZGnz59UFWVkpISHn30UbPfpdOnTyc7O5u2bdui1WrR6/XMnz+fkSNH1vLuLFNnAWK/fv2qDAIURWHu3LnMnTu30nP8/f1ZsWJFle/TqVMntm61rB5VTQ2NCeeOTtZn5GrKyQGn1wshRF26NkBUVQMhxiFmXJtxXfO/HlPqc3NLboxrcdW5TWMt5qaktkPMPRIepOstf03OKSrI5f2Z5es419SWLVtYsGAB77zzDj179uSPP/7giSeeYN68ecycOROAL774gk8//ZQVK1bQvn179u/fz5QpUwgLCzOVe7OnBvEMYmPjrNUgIwxCCNF0pKeZB4gacvFUSicr6pUgNFdFUyFh3ri4yK/PpszJWYeTs86CM0srEmi12gonyVY2QXbmzJmMGjWKRx4pnRTUsWNH0yjqc889h0aj4amnnmL69Oncd999pnPOnj3Liy++WCcBYtP6k0EIIYSwUl5uEfl5xWb7nI3Dy+mqNyjmJbECAsuXUhINi0Gj2HyrjE6no2vXrmzatOmv9zcY2LRpk1nt36vl5eWVK4NXVrmjbLS1snOurmFqT/InkBBCCIdW0fOHrsYA8aJq/vyhooBfgHu580UDY+vl8appa9q0aYwePZpu3brRo0cPFi1aRG5urmlW84MPPkh4eDgvvvgiAIMHD2bhwoXExMSYhphnzpzJ4MGDTYHi4MGDmT9/PpGRkbRv3559+/axcOFCHnroIRveWOUkQBRCCOHQKgoQPYwzmNNU83JYvv7uODnJ4JswN3z4cC5dusSsWbNISUnhhhtuYP369aaJK0lJSWbZwLJi1zNmzCA5OZmgoCBTQFjmzTffZObMmTz22GOkpqYSFhbGP/7xD2bNmlUn9yQBohBCCIdWUYDoZcwgXr4mQJTh5cahumHhmrRXnUmTJjFp0qQKj23ZssXstZOTE7Nnz2b27NmVtufl5cWiRYtYtGhRDXpce/JnkBBCCId27QQVAH+lNEDMxjxADAyWAFE4BskgCiGEcGgVF8kuDRBz1CCz58/8JYPYKNTHWsxNjWQQhcXmzJljWgrRnhRFYfXq1XZ/n/fff5+IiAg0Gk29pfDtrV+/fkyZMsXi88+cOYOiKOXW1xaiqSop1pOVmV9uf7CxBmK+Yj5JJSBIAsTGQNWCQavYbFMdsLSdBIhNUNmC34qioNPpuP7665k7dy4lJSW1avfJJ580m8ZfW5UFnBcuXLD7UkLZ2dlMmjSJp59+muTk5HpfbScqKsr0Natoq8la2gCrVq1i3rx5Fp8fERHBhQsX6NChQ43erzJ5eXk888wztGrVCldXV4KCgujbty/ffvut6ZyoqKgaBerWBsFCXC0jPY9r13BQ1WKCuQxAkWq+LGdAoMxgFo5BhpibqNtuu41ly5ZRWFjIunXrmDhxIs7OzjzzzDPlzi0qKkKnq74gqKenJ56ennbq8V8qKyxqS0lJSRQXFzNo0CCaNWtW4TmWfi62sHv3bvR6PRgXaL/77rs5duwY3t7eALi5uZmdX1xcjLOzc7Xt+vv7V3vO1bRarV0+/0cffZSdO3fy5ptvEh0dTXp6Otu3byc9Pd3m7yWENSoaXnYiA42iUqg6Y8DbNMLs7qHDzb1ufiaI2lGV0s2W7TkaySA2US4uLoSGhtK8eXMmTJhAfHw8a9asAWOGcejQocyfP5+wsDDatGkDwMGDB+nfvz9ubm4EBAQwfvx4cnJyTG1WlPFbsmQJ7dq1w9XVlbZt2/LOO++YHf/zzz8ZMWIE/v7+eHh40K1bN3bu3Mny5ct5/vnnOXDggClLVrYm9LVDzNX1q+x+/vWvf9GsWTMCAgKYOHEixcXmhW/LLF++nI4dOwLQsmVLFEXhzJkzpvtbsmQJLVq0MK0DnpSUxJAhQ/D09MTb25t7773XrGJ+2XVLly4lMjIST09PHnvsMfR6Pa+88gqhoaEEBweblS+4VlBQEKGhoYSGhpqCuuDgYEJDQykoKMDX15eVK1fSt29fXF1d+fTTT0lPT2fEiBGEh4fj7u5Ox44d+eyzz8zavTa7FhUVxYIFC3jooYfw8vIiMjKS999/33T82iHmLVu2oCgKmzZtolu3bri7u9OrVy+OHTtm9j4vvPACwcHBeHl58cgjjzB9+nSz75U1a9bw7LPPMnDgQKKioujatSuTJ0821fPq168fZ8+eZerUqabvB6DaexwzZgw//fQTr7/+uum6M2fOcPnyZUaOHElQUBBubm60bt2aZcssW1dVOJaKJqjojCVuUlR/FOWvsUUZXhaORAJEB+Hm5kZRUZHp9aZNmzh27BgbN25k7dq15ObmkpCQgJ+fH7t37+bLL7/khx9+qHTKPsCnn37KrFmzmD9/PkeOHGHBggXMnDmTjz76CICcnBz69u1LcnIya9as4cCBA/zzn//EYDAwfPhw/u///o/27dtz4cIFLly4wPDhw8u9h6X9+vHHHzl58iQ//vgjH330EcuXLzcFnNcaPnw4P/zwAwC7du3iwoULREREAPDHH3/w9ddfs2rVKvbv34/BYGDIkCFkZGTw008/sXHjRk6dOlWurydPnuS7775j/fr1fPbZZ3z44YcMGjSIP//8k59++omXX36ZGTNmsHPnTqu+blebPn06TzzxBEeOHCEhIYGCggK6du3K//73Pw4dOsT48eMZNWoUu3btqrKd1157jW7durFv3z4ee+wxJkyYUC7gu9Zzzz3Ha6+9xq+//oqTk5NZodZPP/2U+fPn8/LLL7Nnzx4iIyN59913za4PDQ1l3bp1XLlypcL2V61axXXXXcfcuXNN3w9Atff4+uuvExsby7hx40zXRUREMHPmTA4fPsx3333HkSNHePfddwkMDKzwvYVjqyiD6E5pZvsSUuKmsSpbi9mWm6ORIWYrqKpKfrG+RtduPprKrtMZ9GjhT/+2wVZf7+asNWVVrKGqKps2bWLDhg1MnjzZtN/Dw4MlS5aYhlA/+OADCgoK+Pjjj/HwKP0h+NZbbzF48GBefvllU7HPq82ePZvXXnuNu+66C4AWLVpw+PBh3nvvPUaPHs2KFSu4dOkSu3fvNmXFrr/+etP1np6eODk5VTmkuWLFCov65efnx1tvvYVWq6Vt27YMGjSITZs2MW7cuPKfpTETyVWZuzJFRUV8/PHHBAWVPne0ceNGDh48yOnTp01B5Mcff0z79u3ZvXs33bt3B+OySkuXLsXLy4vo6Ghuvvlmjh07xrp169BoNLRp04aXX36ZH3/8kZ49e1rxFfzLlClTTJ91mSeffNL0/5MnT2bDhg188cUX9OjRo9J2Bg4cyGOPPQbA008/zb///W9+/PFHUya5IvPnz6dv375gDFQHDRpEQUEBrq6uvPnmmzz88MOmFQNmzZrF999/b5blff/99xk5ciQBAQF07tyZPn36MGzYMHr37g3GoXCtVouXl5fZ1yM8PLzKe/Tx8UGn0+Hu7m52XVJSEjExMXTr1g2MmVMhKlJxDcTSDGL6tTUQJYPYaBgUBYMNZx7bsq3GQgJEK+QX64metaFWbXy842yNrjs8NwF3neVfrrVr1+Lp6UlxcTEGg4H777+fOXPmmI537NjR7Pm6I0eO0LlzZ1MQBtC7d28MBgPHjh0rFyDm5uZy8uRJHn74YbMgrKSkBB8fHwD2799PTEyM1c/BXc3SfrVv3960PBFAs2bNOHjwoNXv17x5c1NwWPb+ERERpuAQIDo6Gl9fX44cOWIKEKOiovDy8jKdExISglarNaucHxISQmpqqtV9KlMW7JTR6/UsWLCAL774guTkZIqKiigsLMTdveqH6Dt16mT6f0VRCA0NrbZfV19T9sxmamoqkZGRHDt2zBRwlunRowebN282vY6Li+PUqVP88ssvbN++nU2bNvH666/z/PPPM3PmzErft6b3OGHCBO6++2727t3LgAEDGDp0KL169aryGuF4VFUlIy2v3H4fY4mbzHIBokxQEY5DAsQm6uabb+bdd99Fp9MRFhaGk5P5l/rqgKsmyrJDH3zwQbmMWFmgdu3ECnu6dsKGoig1WtC8pp9LRe9vqz5V1rdXX32V119/nUWLFtGxY0c8PDyYMmWK2aMElva1un5dfU1ZJtvae3F2duamm27ipptu4umnn+aFF15g7ty5PP3005VOBqrpPd5+++2cPXuWdevWsXHjRm655RYmTpzIv/71L6v6LJq2K1kFFFcwKlRWJPsK185glgxio6FRSjdbtudgJEC0gpuzlsNzE6y+bvPRVCat2IdWUdCrKm/dH2P1MLObs3VFmDw8PMyGc6vTrl07li9fTm5urikQ2bZtm2l49FohISGEhYVx6tQpRo4cWWGbnTp1YsmSJWRkZFSYRdTpdKaZu7bql621a9eOc+fOce7cOVMW8fDhw2RmZhIdHW3396/Ktm3bGDJkCA888AAYA7bjx4/Xeb/atGnD7t27efDBB037du/eXe110dHRlJSUUFBQgE6nq/D7wZJ7rOz7KCgoiNGjRzN69GhuuukmnnrqKQkQhZm0CoaXAYKMy+zlqQGmItlOThq8fevuj14h6ptMUrGCoii465ys3u7oFMYHD3ZjTO8oPniwG3d0CrO6jZo8f2iNkSNH4urqyujRozl06BA//vgjkydPZtSoURU+fwjw/PPP8+KLL/LGG29w/PhxDh48yLJly1i4cCEAI0aMIDQ0lKFDh7Jt2zZOnTrF119/zY4dO8A4LHv69Gn2799PWloahYWFNumXLcXHx9OxY0dGjhzJ3r172bVrFw8++CB9+/YtN+Rb11q3bs3GjRvZvn07R44c4R//+IfZ7Oq6MnnyZD788EM++ugjTpw4wQsvvMBvv/1m9j3br18/3nvvPfbs2cOZM2dYt24dzz77LDfffLOplE9UVBSJiYkkJyeTlpZm8T1GRUWxc+dOzpw5Q1paGgaDgVmzZvHtt9/yxx9/8Pvvv7N27VratWtXx5+MaOgqev5QVQ2EGItkF16VQfQPcEfjgFmkxsqggEFjw80Bv/QSINaRW6NDmHlHNLdG2z+oqQl3d3c2bNhARkYG3bt3Z9iwYdxyyy289dZblV7zyCOPsGTJEpYtW0bHjh3p27cvy5cvp0WLFmDM7Hz//fcEBwczcOBAOnbsyEsvvWQagr777ru57bbbuPnmmwkKCipXoqWm/bIlRVH49ttv8fPzIy4ujvj4eFq2bMnKlSvr5P2rMmPGDLp06UJCQgL9+vUzBeN1beTIkTzzzDM8+eSTdOnShdOnTzNmzBhTmSCAhIQEPvroIwYMGEC7du2YPHkyCQkJfPHFF6Zz5s6dy5kzZ2jVqpXpOVBL7vHJJ59Eq9USHR1NUFAQSUlJ6HQ6nnnmGTp16kRcXBxarZbPP/+8Dj8V0RhUVOJGQy6eSgEAJVfNYg4Itn8NWGFDimL7zcEoqnptDXnHkp2djY+PD1lZWaZMBsbyGqdPnzarh+fonnnmGbZu3crPP/9c310RDdytt95KaGgon3zySX13xW7kZ0Tj9+mHu0k6fdlsn049zf85/5N01Zv39R+a9ve5uRU33dKqHnrZeFX2+7Uu3nPMkp/QudsuqC/Ky2H5I33r9F7qmzyDKKqlqiqnTp1i06ZNxMTE1Hd3RAOTl5fH4sWLSUhIQKvV8tlnn/HDDz+wcePG+u6aEFXKuFR+BrOr8fnDi+q1azDLDObGRKNR0Whsl/+yZVuNhQwxi2plZWURHR2NTqfj2Wefre/uiAZGURTWrVtHXFwcXbt25b///S9ff/018fHx9d01ISpVkF9MTk755549lNKST2lSA1E4OMkgimr5+vpWOIFECIzljMpWphGisajo+UMAb+MqKpevCRD9pcRNo6JoSjdbtudoJEAUQgjhcCqawQzgZ6yBmHXVBBUfX1ecrSw1JuqXDDHXngPGxEIIIRxdZQFigDFAzFX/KnETECQzmIXjkQyiEEIIh1PZEHOwsQZivvLXJBV5/rDxURQVRbFd1s+WbTUWkkEUQgjhcNIrmMGsqsUEU1r2pujqDGKgzGAWjkcyiEIIIRyKXm8gM718gOhEBhpFpVB1xoB32Sp7kkFshBQbP4OoOOAziBIgCiGEcCiX0/MwVLBGhE65BECK6o+i/DUpRQLExkdmMdeeA96yqKk5c+Zwww032P19FEVh9erVdn+f999/n4iICDQaDYsWLbL7+9WHfv36MWXKFIvPP3PmDIqisH//frv2qz5s2bIFRVHIzMys766IelbZBBV3Y5HsS1fNYHZ1c8bdQ1dnfROioZAAsQkaM2YMiqKgKAo6nY7rr7+euXPnUlJSUqt2n3zySTZt2mSzflYWcF64cIHbb7/dZu9TkezsbCZNmsTTTz9NcnIy48ePt+v7VScqKsr0NatoGzNmTI3aXbVqFfPmzbP4/IiICC5cuECHDh1q9H6VmTNnjuletFotERERjB8/noyMDJu+jzWWL1+Or69vvb2/qD+VTVDxMgaI6VfVQAwI8kBxwHV4GzuNAhpFteFW33dU92SIuYm67bbbWLZsGYWFhaxbt46JEyfi7OzMM888U+7coqIidLrq/0L29PTE09P+5R5CQ0Pt/h5JSUkUFxczaNAgmjVrVuE5ln4utrB79270ej0A27dv5+677+bYsWOmNT/d3NzMzi8uLsbZ2bnadv39/a3qh1artdvn3759e3744Qf0ej1HjhzhoYceIisri5UrV9rl/YSoTGUZRB9jiZvMqwNEKZAtHJRkEJsoFxcXQkNDad68ORMmTCA+Pp41a9aAMcM4dOhQ5s+fT1hYGG3atAHg4MGD9O/fHzc3NwICAhg/fjw5OTmmNivK+C1ZsoR27drh6upK27Zteeedd8yO//nnn4wYMQJ/f388PDzo1q0bO3fuZPny5Tz//PMcOHDAlFlavnw5VDDEXF2/yu7nX//6F82aNSMgIICJEydSXFxc4WezfPlyOnbsCEDLli1RFIUzZ86Y7m/JkiW0aNECV1dXMAaTQ4YMwdPTE29vb+69914uXrxY7nNZunQpkZGReHp68thjj6HX63nllVcIDQ0lODiY+fPnV/r1CgoKIjQ0lNDQUFNQFxwcTGhoKAUFBfj6+rJy5Ur69u2Lq6srn376Kenp6YwYMYLw8HDc3d3p2LEjn332mVm71w4xR0VFsWDBAh566CG8vLyIjIzk/fffNx2/doi5bFh206ZNdOvWDXd3d3r16sWxY8fM3ueFF14gODgYLy8vHnnkEaZPn17ue8XJyYnQ0FDCw8OJj4/nnnvuKbdec1XfT0VFRUyaNIlmzZrh6upK8+bNefHFFyvsN0BmZiaKorBly5Zyn/eWLVsYO3YsWVlZpu+/OXPmAPDOO+/QunVrXF1dCQkJYdiwYZV+3UTjlJ5WfoIKgL8xQLzC1TUQZQZzY6RoVJtvjkYyiA7Czc2N9PR00+tNmzbh7e1t+gWdm5tLQkICsbGx7N69m9TUVB555BEmTZpkCtyu9emnnzJr1izeeustYmJi2LdvH+PGjcPDw4PRo0eTk5ND3759CQ8PZ82aNYSGhrJ3714MBgPDhw/n0KFDrF+/3rRMm4+PT7n3sLRfP/74I82aNePHH3/kjz/+YPjw4dxwww2MGzeuXJvDhw8nIiKC+Ph4du3aRUREBEFBpb8Q/vjjD77++mtWrVqFVqvFYDCYgsOffvqJkpISJk6cyPDhw80Cj5MnT/Ldd9+xfv16Tp48ybBhwzh16hR/+9vf+Omnn9i+fTsPPfQQ8fHx9OzZs0Zfw+nTp/Paa68RExODq6srBQUFdO3alaeffhpvb2/+97//MWrUKFq1akWPHj0qbee1115j3rx5PPvss3z11VdMmDCBvn37mv5QqMhzzz3Ha6+9RlBQEI8++igPPfQQ27ZtA+P3wfz583nnnXfo3bs3n3/+Oa+99hotWrSotL0zZ86wYcMGswxtdd9Pb7zxBmvWrOGLL74gMjKSc+fOce7cuRp9lr169WLRokXMmjXLFOx6enry66+/8vjjj/PJJ5/Qq1cvMjIy2Lp1a43eQzRMqqqSUUkGMcg4xJynBlA2hVkmqDROspJK7UmAaA1VheKK//Ks1vENcHY7NO8Ff0uw/npnd6jBczCqqrJp0yY2bNjA5MmTTfs9PDxYsmSJ6Rf0Bx98QEFBAR9//DEeHqU/EN966y0GDx7Myy+/TEhISLm2Z8+ezWuvvcZdd90FQIsWLTh8+DDvvfceo0ePZsWKFVy6dIndu3ebsmLXX3+96XpPT09TVqkyK1assKhffn5+vPXWW2i1Wtq2bcugQYPYtGlThQFiWSaSqzJ3ZYqKivj4449NAePGjRs5ePAgp0+fJiIiAoCPP/6Y9u3bs3v3brp37w6AwWBg6dKleHl5ER0dzc0338yxY8dYt24dGo2GNm3a8PLLL/Pjjz/WOECcMmWK6bMu8+STT5r+f/LkyWzYsIEvvviiygBx4MCBPPbYYwA8/fTT/Pvf/+bHH3+sMkCcP38+ffv2BWOgOmjQIAoKCnB1deXNN9/k4YcfZuzYsQDMmjWL77//3izLizET7OnpiV6vp6CgAICFCxeajlf3/ZSUlETr1q3p06cPiqLQvHlzqz6/q+l0Onx8fFAUxezrn5SUhIeHB3fccQdeXl40b96cmJiYGr+PaHhyrxRRWFj+eWxVNRBiLJJdeHUGUYaYhYOSANEaxXmwIKx2bez+oGbXPXsedJb/oFq7di2enp4UFxdjMBi4//77TUNoAB07djTL3hw5coTOnTubgjCA3r17YzAYOHbsWLkAMTc3l5MnT/Lwww+bBWElJSWmTOD+/fuJiYmx+jm4q1nar/bt26PV/lWWolmzZhw8eNDq92vevLkpOCx7/4iICFNwCBAdHY2vry9HjhwxBYhRUVF4eXmZzgkJCUGr1aLRaMz2paamWt2nMt26dTN7rdfrWbBgAV988QXJyckUFRVRWFiIu3vVQ2KdOnUy/X9ZgFRdv66+puyZzdTUVCIjIzl27Jgp4CzTo0cPNm/ebLavTZs2rFmzhoKCAv7zn/+wf/9+0x8tlnw/jRkzhltvvZU2bdpw2223cccddzBgwIAq+22tW2+9lebNm9OyZUtuu+02brvtNu68885qP1PReFQ2QUVDLp5K6R8uJcZZzFqtgq+fW4Xni4ZNUWxc5kYmqYim4uabb+bdd99Fp9MRFhaGk5P5l/rqgKsmyrJDH3zwQbmMWFmgdu3ECnu6dsKGoigYDAar26np51LR+9uqT5X17dVXX+X1119n0aJFdOzYEQ8PD6ZMmUJRUZHVfa2uX1dfUzaj09p7KZtRD/DSSy8xaNAgnn/+eebNm2fR91OXLl04ffo03333HT/88AP33nsv8fHxfPXVV6ZAXL2qtl1lz6BWxcvLi71797Jlyxa+//57Zs2axZw5c9i9e7fMeG4iKpug4myawewNigsAfv7uaLTyqL5wTBIgWsPZvTSTZ63jG+CrsaBoQdXDsGXWDzM7W5fB8PDwMBvOrU67du1Yvnw5ubm5pkBk27ZtpuHRa4WEhBAWFsapU6cYOXJkhW126tSJJUuWkJGRUWEWUafTmWbu2qpfttauXTvTs25lWcTDhw+TmZlJdHS03d+/Ktu2bWPIkCE88MADYAzYjh8/Xuf9atOmDbt37+bBBx807du9e3e1182YMYP+/fszYcIEwsLCqv1+AvD29mb48OEMHz6cYcOGcdttt5GRkWHK+l64cME0JFxdLcfKvv+cnJyIj48nPj6e2bNn4+vry+bNm8sN74vGqbIA0ZXSItkXVVmDuSkoK09jy/YcjQSI1lAUq4Z5TTrcBU6ucOZniOoDbQfao3e1MnLkSGbPns3o0aOZM2cOly5dYvLkyYwaNarC5w8Bnn/+eR5//HF8fHy47bbbKCws5Ndff+Xy5ctMmzaNESNGsGDBAoYOHcqLL75Is2bN2LdvH2FhYcTGxhIVFcXp06fZv38/1113HV5eXri4uNS6X7YUHx9Px44dGTlyJIsWLaKkpITHHnuMvn37lhvyrWutW7fmq6++Yvv27fj5+bFw4UIuXrxY5wHi5MmTGTduHN26daNXr16sXLmS3377jZYtW1Z5XWxsLJ06dWLBggW89dZb1X4/LVy4kGbNmhETE4NGo+HLL78kNDQUX19fNBoNN954Iy+99BItWrQgNTWVGTNmVPn+UVFR5OTksGnTJjp37oy7uzubN2/m1KlTxMXF4efnx7p16zAYDHXyx4ioG5UNMXsYV1FJu2oNZn8JEBstW888dsRZzJI7ryttB8JtCxpkcAjg7u7Ohg0byMjIoHv37gwbNoxbbrmFt956q9JrHnnkEZYsWcKyZcvo2LEjffv2Zfny5abZqzqdju+//57g4GAGDhxIx44deemll0xDhnfffTe33XYbN998M0FBQeVKtNS0X7akKArffvstfn5+xMXFER8fT8uWLRtE7b4ZM2bQpUsXEhIS6NevH6GhoQwdOrTO+zFy5EieeeYZnnzySdMw8JgxY0xlgqoydepUlixZwrlz56r9fvLy8uKVV16hW7dudO/enTNnzpgmAQEsXbqUkpISunbtypQpU3jhhReqfO9evXrx6KOPMnz4cIKCgnjllVfw9fVl1apV9O/fn3bt2rF48WI+++wz2rdvb6NPS9S3tNSKA0RvSieoXL46gygTVIQDU1S1ggUpHUh2djY+Pj5kZWWZihIDFBQUcPr0abN6eI7umWeeYevWrfz888/13RXRwN16662EhobyySef1HdX7EZ+RjQ+hYUlLJy3ucJjNyoLuVm7g49LRpHM3wEY/WhPwq4rX35LWKay36918Z7/t2YDLrV81v5qhbm5vPb3hDq9l/omQ8yiWqqqcurUKTZt2iQlP0Q5eXl5LF68mISEBLRaLZ999hk//PBDuSLYQtS3y5UUyAYIMBbJzlWDpAaiEDLELCyRlZVFdHQ0Op2OZ599tr67IxoYRVFYt24dcXFxdO3alf/+9798/fXXxMfH13fXhDBT2fOHAMHGGoj5SukQs5e3Cy4ukkNprGy7DrNtJ7w0FvLdL6rl6+tLYWFhfXdDNFBubm6m1XCEaMgqm8GsqsUEcxmAImMGUZ4/bNxkkkrtSQZRCCGEQ6gsQHQiA42iUqg6Y6D0+TIZXhaOTjKIQgghHEJaJQGii7HETYrqj6KUVlmQEjeNm6zFXHuSQayGg0/yFkJUQn42NC4GvYHL6RUHiG7GVVRSZQ1mIUwkg1iJsqXF8vLy6nTJOCFE41C2pOHVa4CLhiszswC9vuKg3ssYIGZcVQMxMFgCxEZNY9u1mB0xnSYBYiW0Wi2+vr6kpqaCsWCz4oirdQshyjEYDFy6dAl3d/dy65yLhimjkuFlAB9jiZtMNRAAnU6Lp5dLpeeLhk+jlG62bM/RyE+2KoSGhgKYgkQhhCij0WiIjIyUPxwbiapK3PgbA8QrxiHmgCAP+boKhycBYhUURaFZs2YEBwdTXFxc390RQjQgOp3OtMyfaPgqm8EMEGQcYs5TA6TETROhKCqKDWsX2rKtxkICRAtotVp5zkgIIRqxymYwq6qBEGOR7EJjBlFmMAshAaIQQogmTlXVSjOIGnLxVAoAKKH0GUSpgdj4aTQqGq2UuakNCRCFEEI0aXm5xRTkV/yYkLNxeDlN9QaldGJKoASIjZ4MMdeePEAjhBCiSatqgoorpUWyU40zmDWKgq+/e531TYiGSjKIQgghmrSqStx4GFdRSTMGiL7+bjg5Se6ksdNoSjdbtudoHPCWhRBCOJKqZjB7UzpB5bKxSLY8fyhEKckgCiGEaNKqGmL2M9ZAzJIJKk2KPINYexIgCiGEaNKqyiAGGAPEXDUIFPCXGohNgkaj2nTmsSPOYpYhZiGEEE1WcbGerMz8So+HGAPEfEWGmIW4mmQQhRBCNFmX0/NQK0n+qGoxQWQCUGTMIEqA2DQoGhXFhlk/W7bVWEgGUQghRJNV1fCyExloFJVC1RkDPrh76HBzc67T/gnRUEkGUQghRJNVVYDoYixxk6IGoCgayR42IRqldLNle45GAkQhhBBNVlUBoptxFZXUshnMMkGlydDYeIjUEYdbHfGehRBCOIiqStx4GQPEDGMNxMBgCRCFKCMZRCGEEE2SqqpkpOVVetzHOIM507iKipS4aToUGw8xKw44xCwZRCGEEE1SdlYBxcX6So/7GwPEKwSBlLgRwoxkEIUQQjRJVT1/CBBkHGLOUwNwctbg4+taRz0T9iaTVGqvwWQQ9Xo9M2fOpEWLFri5udGqVSvmzZuHelUBK1VVmTVrFs2aNcPNzY34+HhOnDhh1k5GRgYjR47E29sbX19fHn74YXJycurhjoQQQtSnqgJEVTUQaswgFhKMf6AHiiOOIzZRWsX2m6NpMAHiyy+/zLvvvstbb73FkSNHePnll3nllVd48803Tee88sorvPHGGyxevJidO3fi4eFBQkICBQUFpnNGjhzJ77//zsaNG1m7di2JiYmMHz++nu5KCCFEfakqQNSQi4dSCEAJATK8LMQ1GswQ8/bt2xkyZAiDBg0CICoqis8++4xdu3aBMXu4aNEiZsyYwZAhQwD4+OOPCQkJYfXq1dx3330cOXKE9evXs3v3brp16wbAm2++ycCBA/nXv/5FWFhYPd6hEEKIulRVgOhsHF5OU71BcSFQAsQmRTFutmzP0TSYDGKvXr3YtGkTx48fB+DAgQP8/PPP3H777QCcPn2alJQU4uPjTdf4+PjQs2dPduzYAcCOHTvw9fU1BYcA8fHxaDQadu7cWeX7Z2dnm22FhYV2ulMhhBB1oaoSN66UFslONc5glgyiEOYaTAZx+vTpZGdn07ZtW7RaLXq9nvnz5zNy5EgAUlJSAAgJCTG7LiQkxHQsJSWF4OBgs+NOTk74+/ubzqlMRESE2evZs2fTv39/YmJiWLt2rdmxm266iZSUFKKjo/n5559JT083a6dt27ZcvHgRZ2dn9uzZY3btvffey7Zt24iNjeWrr74yO9ajRw/y8vIIDw/n0KFDJCcnm44FBwfTo0cPTpw4QWBgINu2bTO7dsiQIfz666/ExcWxcuVKDAaD6VinTp1wdnbGy8uLpKQkTp06ZTrm7e3NgAED2L17N61atWLz5s1m7SYkJHDo0CHi4uJYvXo1+fl/LXrfpk0bAgMDMRgMZGVlcfjwYdMxFxcX7rrrLhITE+ncuTPr1q0za7dfv34kJSXRuXNntmzZwuXLl03HmjdvTqtWrUz79u3bZ3btiBEjSExMpEePHnzzzTdmx2JjY8nKyiIqKoq9e/eafd1DQ0Pp0qULZ86cwcfHx/SHRZk777yTXbt2ERcXx2effWZ2LCYmBgA/Pz9OnjzJ2bNnTcf8/Pzo168fBw4cIDIyki1btphdO3DgQA4cOEBcXByrVq0y++MjOjoaHx8fNBoNaWlpHDt2zHTMzc2NoUOHkpiYSIcOHdiwYYNZu/379+fkyZN0796d77//nuzsbNOxli1bEhkZyZUrVyguLua3334zHdNoNAwfPpzExES6devGt99+a9Zu7969SUtLo3Xr1uzatYvU1FTTsfDwcDp06EBycjLu7u6mDH+ZYcOGsWPHDnr37s0XX3xhdqxr164UFxcTEhLC0aNHOXfunOlYQEAAffr04fDhw4SGhrJ161aza++44w727dtHXFwcX375JSUlJaZjHTp0wN3dHRcXF1JSUsyeS/b09GTgwIHs2LGDtm3bsnHjRrN2b731Vo4ePUpsbCzr1q0ze165devWhIaGUlhYSF5eHocOHTIdc3Jy4p577iExMVF+RjTQnxE//LCFK9kFpKWlmR3z9vampKSEUI/S7+uLej9SL6Wy/ZfNpKQ1k58RNvwZoddXPoPc3mSSSu0pqlrZMuZ16/PPP+epp57i1VdfpX379uzfv58pU6awcOFCRo8ezfbt2+nduzfnz5+nWbNmpuvuvfdeFEVh5cqVLFiwgI8++sjsHxDGH5zPP/88EyZMKPe+2dnZ+Pj4cO7cOby9vU37XVxccHFxsfNdCyGEsIfkc5l8/N6uSo+34WPucvov35bczhHlIf5v1i04O2vrtI9NXdnv16ysLLPfr3Xxnm/tXo2bp+2ywvk5uUzqPrRO76W+NZgM4lNPPcX06dO57777AOjYsSNnz57lxRdfZPTo0YSGhgJw8eJFswDx4sWL3HDDDWDMEF39lwxASUkJGRkZpusr4+3t7TBfdCGEaOrSUqsuceNnnMGcRSDevm4SHApxjQbzDGJeXh4ajXl3tFqtaRikRYsWhIaGsmnTJtPx7Oxsdu7cSWxsLBiHFzMzM82GbDZv3ozBYKBnz551di9CCCHqV0YVzx8CBBoDxFw1SNZgboIUxfabo2kwGcTBgwczf/58IiMjad++Pfv27WPhwoU89NBDACiKwpQpU3jhhRdo3bo1LVq0YObMmYSFhTF06FAA2rVrx2233ca4ceNYvHgxxcXFTJo0ifvuu09mMAshhAOprkh2sDFAzFcCZQazEBVoMBnEN998k2HDhvHYY4/Rrl07nnzySf7xj38wb9480zn//Oc/mTx5MuPHj6d79+7k5OSwfv16XF3/qn7/6aef0rZtW2655RYGDhxInz59eP/99+vproQQQtSHqotkFxNEJgDFapDMYG6Cyiap2HKrzttvv01UVBSurq707Nmz3CS+ay1atIg2bdrg5uZGREQEU6dONavrHBUVhaIo5baJEyfa4iOqVoPJIHp5ebFo0SIWLVpU6TmKojB37lzmzp1b6Tn+/v6sWLHCTr0UQgjR0On1BjIz8is97kQGGkWlUHVGjzf+EiA2ObZe/aS6tlauXMm0adNYvHgxPXv2ZNGiRSQkJHDs2LFy1VUAVqxYwfTp01m6dCm9evXi+PHjjBkzBkVRWLhwIQC7d+82mwl+6NAhbr31Vu655x7b3VgVGkwGUQghhLCFy+l5GKoo0OGilNZATFEDUBSNPIMoam3hwoWMGzeOsWPHEh0dzeLFi3F3d2fp0qUVnl9WmeX+++8nKiqKAQMGMGLECLOsY1BQEKGhoaZt7dq1tGrVir59+9bJPUmAKIQQokmp7vlDN+MqKqkE4urmjLuHcx31TNSlupqgUlRUxJ49e8wW8tBoNMTHx5erpVmmV69e7NmzxxQQnjp1inXr1jFw4MBK3+M///kPDz30UJ2tGd5ghpiFEEIIW6hqBRUAL2OAmKGWrsFcV79wReNRXFhEcVGx6XV+Tl6l56alpaHX6ytcyOPo0aMVXnP//feTlpZGnz59UFWVkpISHn30UZ599tkKz1+9ejWZmZmMGTOmxvdkLQkQhRBCNCnVZRB9jEPMmWqgDC83UZpaDpH+973PWfXmJzbskbktW7awYMEC3nnnHXr27Mkff/zBE088wbx585g5c2a58z/88ENuv/32Oq3IIgGiEEKIJiU9rfJsD0CAscTNFYJoHuReR70Sdam2k1TuevQ+Bj90t+l1fk4ej910f4XnBgYGotVquXjxotn+ixcvVrpIx8yZMxk1ahSPPPIIGBcHyc3NZfz48Tz33HNmdaHPnj3LDz/8wKpVq2p+QzUgzyAKIYRoMlRVJaOaDGIgpWtj56mBUuJGVMjZRYe7l4dpc/Os/A8JnU5H165dzRbyMBgMbNq0ybSQx7UqWxwE4/fw1ZYtW0ZwcDCDBg2q5V1ZRzKIQgghmoycK4UUFpZUelxVDYQaM4iFyCoqTZWltQutaa8q06ZNY/To0XTr1o0ePXqwaNEicnNzGTt2LAAPPvgg4eHhvPjii2BcHGThwoXExMSYhphnzpzJ4MGDTYEixkBz2bJljB49Gienug3ZJEAUQgjRZFT3/KGGXDyUQgBUbQC+fm511DPRlA0fPpxLly4xa9YsUlJSuOGGG1i/fr1p4kpSUpJZxnDGjBkoisKMGTNITk4mKCjItKLc1X744QeSkpJMq8rVJQkQhRBCNBnVBYjOxhnMaao3fgH+aLTypFVTZOv1ky1pa9KkSUyaNKnCY1u2bDF77eTkxOzZs5k9e3aVbQ4YMKDckHNdkQBRCCFEk1FdiRtXSmcwp6qBBAR71lGvRF3TGjdbtudo5E8nIYQQTUb6papnMHsYS9ykqYEEBMoMZiEqIxlEIYQQTUZ1Q8zexiHmy2oArWQGc5NV15NUmiLJIAohhGgSCgtLuJJdUOU5fsYZzFkESYkbIaogGUQhhBBNQkY1zx8CBCqlNRBz1ED8pcRNk1Ufk1SaGgkQhRBCNAnVDS8DBBsziLiF4eIivwKbqtqupFJRe45GhpiFEEI0CdUFiKpaTBCZAHgFRtZRr4RonOTPJyGEEE1CdWswO5GBRlEpVJ0JDruuzvol6p5i4wyYAyYQJYMohBCiaagug+hiLHGTogYQGOxVR70SonGSDKIQQohGz6A3cDm96gDRzVjiJpVAgmQGc5MmZW5qTwJEIYQQjV7m5Xz0+qqXJPMyrqKSoQbQVgLEJk0CxNqTIWYhhBCNXnVL7AH4GGcwZyvBeHq51EGvhGi8JIMohBCi0bOkxE2AMUAsdm2G4oiF7RyIZBBrTzKIQgghGr3q1mAGCKS0SLaTr8xgFqI6kkEUQgjR6FU3xKyqBkKNGUSf0BZ11CtRXzQ2zoA5YjZNAkQhhBCNmqqq1Q4xa8jFQykEICyqdR31TNQXGWKuPUcMioUQQjQhebnFFOQXV3mOs7HETZrqTbPrguqoZ0I0XpJBFEII0ahZMoPZjVQAUtVA2gS410GvRH1SFBVFqbrskbXtORrJIAohhGjUMiyYwexhfP4wQwlEq5VffUJURzKIQgghGjVLStx4GYeYc5xD66BHor7JM4i1JwGiEEKIRs2SIWY/YwaxxCOsDnok6psGFQ22Gxa2ZVuNheTZhRBCNGppFmQQA5XSGojO/pF10CMhGj/JIAohhGi0iov1ZGfmV3tesDGD6Bvesg56JeqbopRutmzP0UgGUQghRKOVkZaHWs3on6oWE0QmABF/a1c3HROikZMMohBCiEYrw4LnD53IQKOoFKrONLtOhpgdgaKoaKTMTa1IgCiEEKLRsmQGs4uxBmIKgTTXyMCZI5BZzLUn/1KEEEI0WpYEiO7G5w/TNbKCihCWkgyiEEKIRsuSGcyeZTUQXaQGoqNQjJst23M0kkEUQgjRKKmqatEziD7GDKLeM7wOeiVE0yAZRCGEEI1SVmYBJSWGas8LMAaIukCZoOIotErpZsv2HI0EiEIIIRolS54/BAiktEi2d3grO/dINBRSB7H2ZIhZCCFEo2TJ8LKqGggtK5LdTIpkC2EpySAKIYRolNJSqw8QNeTioRQCEBTWog56JRoCDbatgyhrMQshhBCNRLoFGUQdl0rPVX1wdfesg14J0TRIBlEIIUSjZMkziK7GAPGSNpiAOuiTaBg0Ns6AOWI2TQJEIYQQjU5+fjF5uUXVnuehlNVADKmDXomGonSSii2X2rNZU42GIwbFQgghGjlLZzB7GYtkF3tJDUQhrCEZRCGEEI2OpQGinzGDqPhG2LlHoiGRtZhrTzKIQgghGh1LStwABCqlNRBdAqRIthDWkAyiEEKIRsfSDGKwMYPoGSwlbhyJRrFxmRsbttVYSIAohBCi0bEkQFTVYoLIBMA/TIpkOxLFxkOkDjjCLEPMQgghGpeSEgOZGfnVnudEOhpFpUB1xj8orE76JkRTIRlEIYQQjUpmRh4GtfohPxdjDcRUTRCRGsmHOBJZi7n25F+MEEKIRsXS5w/djc8fZumkBqIQ1pIMohBCiEYlzcIA0dNYAzHfrZmdeyQaGllJpfYkQBRCCNGoZFgYIPoYM4h67+vs3CPR0Mgs5tpzxKBYCCFEI5ZuYQ3EAGOAqPWTItlCWEsyiEIIIRoNVVUtfgYxkNIi2e6Bze3cK9HQyCSV2pMMohBCiEYj50ohRUX6as9TVQPNjBlEn2ZSA1EIa0kGUQghRKNhafZQQw7uSiEAQeESIDoaDSoabPgMog3baiwkQBRCCNFoWDqDWWecwZyGL4FuHnbulWhoNErpZsv2HI0MMQshhGg0LJ3B7Goskp3hFGznHgnRNEkGUQghRKNh6RCzh/H5wxyXUDv3SDREUuam9iSDKIQQotGwtMSNl3GIuchT1mAWoiYkgyiEEKJRKCws4Up2oUXn+hkziPhIkWxHJGVuak8CRCGEEI1ChoXZQ4BAY4DoEhBpxx6JhkqW2qs9R7xnIYQQjVBaquUBYogxQPQMbmHHHgnRdDWoADE5OZkHHniAgIAA3Nzc6NixI7/++qvpuKqqzJo1i2bNmuHm5kZ8fDwnTpwwayMjI4ORI0fi7e2Nr68vDz/8MDk5OfVwN0IIIWzJ0ucPUYsIVjIBCAhvZd9OiQaprMyNLTdH02ACxMuXL9O7d2+cnZ357rvvOHz4MK+99hp+fn6mc1555RXeeOMNFi9ezM6dO/Hw8CAhIYGCggLTOSNHjuT3339n48aNrF27lsTERMaPH19PdyWEEMJWLC1xoyUDgALVGb/AZnbulRBNU4N5BvHll18mIiKCZcuWmfa1aPHX0ICqqixatIgZM2YwZMgQAD7++GNCQkJYvXo19913H0eOHGH9+vXs3r2bbt26AfDmm28ycOBA/vWvfxEWJrPZhBCisbK0xI2LsQbiJU0QEZoGkwcRdUpBwZZpP8dLITaYfzlr1qyhW7du3HPPPQQHBxMTE8MHH3xgOn769GlSUlKIj4837fPx8aFnz57s2LEDgB07duDr62sKDgHi4+PRaDTs3Lmzju9ICCGErRj0Bi5n5Fl0rrvx+cNMXYideyUarLJpzLbcHEyDCRBPnTrFu+++S+vWrdmwYQMTJkzg8ccf56OPPgIgJSUFgJAQ83/wISEhpmMpKSkEB5tXzXdycsLf3990TmWys7PNtsJCy0opCCGEsL/My/no9ZYVK/Y01kDMd5PhZSFqqsEMMRsMBrp168aCBQsAiImJ4dChQyxevJjRo0fb/f0jIiLMXs+ePZv+/fsTExPD2rVrzY7ddNNNpKSkEB0dzc8//0x6erpZO23btuXixYs4OzuzZ88es2vvvfdetm3bRmxsLF999ZXZsR49epCXl0d4eDiHDh0iOTnZdCw4OJgePXpw4sQJAgMD2bZtm9m1Q4YM4ddffyUuLo6VK1diMBhMxzp16oSzszNeXl4kJSVx6tQp0zFvb28GDBjA7t27adWqFZs3bzZrNyEhgUOHDhEXF8fq1avJz883HWvTpg2BgYEYDAaysrI4fPiw6ZiLiwt33XUXiYmJdO7cmXXr1pm1269fP5KSkujcuTNbtmzh8uXLpmPNmzenVatWpn379u0zu3bEiBEkJibSo0cPvvnmG7NjsbGxZGVlERUVxd69e83+MAgNDaVLly6cOXMGHx8fU+a5zJ133smuXbuIi4vjs88+MzsWExMDgJ+fHydPnuTs2bOmY35+fvTr148DBw4QGRnJli1bzK4dOHAgBw4cIC4ujlWrVpn98REdHY2Pjw8ajYa0tDSOHTtmOubm5sbQoUNJTEykQ4cObNiwwazd/v37c/LkSbp37873339Pdna26VjLli2JjIzkypUrFBcX89tvv5mOaTQahg8fTmJiIt26dePbb781a7d3796kpaXRunVrdu3aRWpqqulYeHg4HTp0IDk5GXd3d3bt2mV27bBhw9ixYwe9e/fmiy++MDvWtWtXiouLCQkJ4ejRo5w7d850LCAggD59+nD48GFCQ0PZunWr2bV33HEH+/btIy4uji+//JKSkhLTsQ4dOuDu7o6LiwspKSlmE9c8PT0ZOHAgO3bsoG3btmzcuNGs3VtvvZWjR48SGxvLunXrzCa0tW7dmtDQUAoLC8nLy+PQoUOmY05OTtxzzz0kJibKz4g6+hlx6kQGqamlfXZ1ccHVzc30fXDtRMSY0NLPu9gzrNy/ZfkZUaoufkbo9Xrqi2LjIWbbDlc3Doqqqg1i/ZjmzZtz6623smTJEtO+d999lxdeeIHk5GROnTpFq1at2LdvHzfccIPpnL59+3LDDTfw+uuvs3TpUv7v//7PLNgoKSnB1dWVL7/8kjvvvLPc+2ZnZ+Pj48O5c+fw9vY27XdxccHFxcWu9yyEEMIyv2w9zY8bTlhwJsQ7vUB3DrCr8zx63Pm43fsmKlb2+zUrK8vs92tdvOeZ1C/x9na3Ybt5RAXfU6f3Ut8azBBz7969zf4yAjh+/DjNmzcH44SV0NBQNm3aZDqenZ3Nzp07iY2NBeNfhpmZmWZ/kW/evBmDwUDPnj2rfH9vb2+zTYJDIYRoONIvWfb8IUCgcYjZPbC5HXskGjJFUWy+OZoGM8Q8depUevXqxYIFC7j33nvZtWsX77//Pu+//z4Yv9hTpkzhhRdeoHXr1rRo0YKZM2cSFhbG0KFDAWjXrh233XYb48aNY/HixRQXFzNp0iTuu+8+mcEshBCNmKU1EFXVQIiaBgr4NpMaiI6qdIDZdjkwRxxibjABYvfu3fnmm2945plnmDt3Li1atGDRokWMHDnSdM4///lPcnNzGT9+PJmZmfTp04f169fj6upqOufTTz9l0qRJ3HLLLWg0Gu6++27eeOONerorIYQQtaWqqsUlbjTk4K6UPsMXGC6rqAhRUw3mGcT6Uh/PSAghhLBcbk4hb7z0k0XnuqinmOb8NGn4EjjnrAVXCHupz2cQky59jbe3hw3bzSUy6G6HihUazDOIQgghREUszR4CuBlrIGY4BVd7rhCicg1miFkIIYSoiDUBoq/uMhggxyXUrn0SDZuCxsbPIDpePk0CRCGEEA1aeprlM5h9tGlggCJPmZjoyKQOYu05XkgshBCiUbEqg6iWrsOMz3X265AQDkACRCGEEA2apSVuAPwMpQGiLiDKjj0SDV191EF8++23iYqKwtXVlZ49e5ZbaepaixYtok2bNri5uREREcHUqVMpKCgwOyc5OZkHHniAgIAA3Nzc6NixI7/++qvVn8eff/7Jn3/+adU1EiAKIYRosIqL9WRn5ltwZqlAY4DoFSIBoqg7K1euZNq0acyePZu9e/fSuXNnEhISzJYhvNqKFSuYPn06s2fP5siRI3z44YesXLmSZ5991nTO5cuX6d27N87Oznz33XccPnyY1157DT8/P4v6ZDAYmDt3Lj4+PjRv3pzmzZvj6+vLvHnzzJbarEy1AeJHH33E//73P9Prf/7zn/j6+tKrVy+ztSaFEEIIW8tIy8XiYmxqEUGULrUaENbSrv0SDZ1ih61yCxcuZNy4cYwdO5bo6GgWL16Mu7s7S5curfD87du307t3b+6//36ioqIYMGAAI0aMMMs6vvzyy0RERLBs2TJ69OhBixYtGDBgAK1aWVYA/rnnnuOtt97ipZdeYt++fezbt48FCxbw5ptvMnPmzGqvrzZAXLBgAW5ubgDs2LGDt99+m1deeYXAwECmTp1qUSeFEEKImrDm+UNPtysAFKjO+AU2s2OvREOn1PK/osJirmTnmbacK5VnsYuKitizZw/x8fGmfRqNhvj4eHbs2FHhNb169WLPnj2mgPDUqVOsW7eOgQMHms5Zs2YN3bp145577iE4OJiYmBg++OADiz+Djz76iCVLljBhwgQ6depEp06deOyxx/jggw9Yvnx5tddXO4v53LlzXH/99QCsXr2au+++m/Hjx9O7d2/69etncUeFEEIIa1mzBrOPeyZkwyVNEBEaeYJK1Ny/Xl7Biy98bNG5aWlp6PV6QkJCzPaHhIRw9OjRCq+5//77SUtLo0+fPqiqSklJCY8++qjZEPOpU6d49913mTZtGs8++yy7d+/m8ccfR6fTMXr06Gr7lZGRQdu2bcvtb9u2LRkZGdVeX+2/IE9PT9LT0wH4/vvvufXWWwFwdXUlP9/y50KEEEIIa1kzQcVLW/q7KlMXUu25ommr7YSUp6aP5EL6WtN2/PQXNu3fli1bWLBgAe+88w579+5l1apV/O9//2PevHmmcwwGA126dGHBggXExMQwfvx4xo0bx+LFiy16j86dO/PWW2+V2//WW2/RuXPnaq+vNoN466238sgjjxATE8Px48dN6c/ff/+dqCh5CFgIIYT9WDPE7GGcoJLvJsPLonZcXHS4uOgsOjcwMBCtVsvFixfN9l+8eJHQ0IoLts+cOZNRo0bxyCOPANCxY0dyc3MZP348zz33HBqNhmbNmhEdHW12Xbt27fj6668t6tcrr7zCoEGD+OGHH4iNjQXjo4Lnzp1j3bp11V5fbQbx7bffJjY2lkuXLvH1118TEBAAwJ49exgxYoRFnRRCCCGsZTCoZFiRQXQvKf0FrfeWGoiOrmwlFVtuldHpdHTt2pVNmzaZ9hkMBjZt2mQKzK6Vl5eH5prHILRaLQCqcVZW7969OXbsmNk5x48fp3nz5hZ9Bn379uX48ePceeedZGZmkpmZyV133cWxY8e46aabqr2+2gyir69vhSnK559/3qIOCiGEEDWRnZlPSUn15TjKeBWXBohav0g79kqI8qZNm8bo0aPp1q0bPXr0YNGiReTm5jJ27FgAHnzwQcLDw3nxxRcBGDx4MAsXLiQmJoaePXvyxx9/MHPmTAYPHmwKFKdOnUqvXr1YsGAB9957L7t27eL999/n/ffft7hfYWFhzJ8/v0b3ZNFSe1u3buW9997j1KlTfPnll4SHh/PJJ5/QokUL+vTpU6M3FkIIIapizfOHzs5afEtKa865B1mWYRHCVoYPH86lS5eYNWsWKSkp3HDDDaxfv940cSUpKcksYzhjxgwURWHGjBkkJycTFBTE4MGDzYK57t2788033/DMM88wd+5cWrRowaJFixg5cmSl/fjtt9/o0KEDGo2G3377rco+d+rUqcrjiqpWXWHq66+/ZtSoUYwcOZJPPvmEw4cP07JlS9566y3WrVtn0Th2Q5adnY2Pjw9ZWVl4e3vXd3eEEEIY7dp2lk3fHbPgTAgO8WBE2p24K4X8+cA2rru+g937J6pWH79fy97zYsZ6vL09bNhuLiH+tzX4WEGj0ZCSkkJwcDAajQZFUagozFMUBb1eX2Vb1WYQX3jhBRYvXsyDDz7I559/btrfu3dvXnjhhZregxBCCFElayao+PgW455eCEBgeAs79kqIhuv06dMEBQWZ/r82qg0Qjx07RlxcXLn9Pj4+ZGZm1urNhRBCiMpYM8Ts5lRa1y0NXwLdbJc5Eo1TWcFrW7bXGFw9geXs2bP06tULJyfzUK+kpITt27dXO9ml2lnMoaGh/PHHH+X2//zzz7RsKUsZCSGEsA9rMoguxhI3GU7BduyRaCxqu5JKRf81NjfffHOFBbGzsrK4+eabq72+2gBx3LhxPPHEE+zcuRNFUTh//jyffvopTz75JBMmTKh5z4UQQohK5OcVkZdbZPH5zkUpAOS4VFx3TghHo6oqilI+sE1PT8fDo/ose7VDzNOnT8dgMHDLLbeQl5dHXFwcLi4uPPnkk0yePLnmPRdCCCEqkZ5m+RJ7igK6ggsAFHmG2bFXovFQjJst22sc7rrrLjBORBkzZgwuLi6mY3q9nt9++41evXpV2061AaKiKDz33HM89dRT/PHHH+Tk5BAdHY2np2dt70EIIYSokHUTVNxwyT1vfBFhv04J0Qj4+PiAMYPo5eWFm5ub6ZhOp+PGG29k3Lhx1bZjUR3EskavXfJFCCGEsAdrVlAJCPLAI6l0iFkXIDUQheNOUgFYtmwZAFFRUTz55JMWDSdXpMIAsSw9aYlVq1bV6I2FEEKIyliTQQwI9MD/VGmRbK+QKDv2SjQWiqKgKNVOs7CqvcZm9uzZtbq+wgCxLD0phBBC1Ic0q4aYtQRxGYCAMKmuIUSZr776ii+++IKkpCSKiswnfe3du7fKaysMEMvSk0IIIURdKykxkJlh+SQVrVJayqNAdcYvsJkdeyYaC8edovKXN954g+eee44xY8bw7bffMnbsWE6ePMnu3buZOHFitddbnH9NTU1l69atbN26ldTU1Nr2WwghhKjQ5fQ8ql4E1pxinMF8SROEorHdsKIQjdk777zD+++/z5tvvolOp+Of//wnGzdu5PHHHycrK6va66v9l5Sdnc2oUaMIDw+nb9++9O3bl/DwcB544AGL3kAIIYSwhlUrqLg7U5x1DoBMXYgdeyUaFUVj+62RSUpKMpWzcXNz48qVKwCMGjWKzz77rNrrLSqUvXPnTtauXUtmZiaZmZmsXbuWX3/9lX/84x+2uAchhBDCxNoJKiWXSwPEfHepgShKyUoqpSvhla2kEhkZyS+//ALGNZpVC1L01Za5Wbt2LRs2bKBPnz6mfQkJCXzwwQfcdtttteu9EEIIcQ2rAsQgD7RJfwKg97rOjr0SonHp378/a9asISYmhrFjxzJ16lS++uorfv31V4uq1VQbIAYEBFQ4q9nHxwc/P7+a91wIIYSogLUBouux0mcQtX5SJFuUcuQ6iGXef/99DAYDABMnTiQgIIDt27fz97//3aIR4GoDxBkzZjBt2jQ++eQTQkNL17hMSUnhqaeeYubMmba4ByGEEAKMqz9Y8wxiQKAHzkUXAXAPkiLZQpTRaDRorpq0dd9993HfffcBkJycTHh4eJXXVxsgvvvuu/zxxx9ERkYSGRkJxgcfXVxcuHTpEu+9957p3Opq6gghhBBVuZJdSHGR3uLz/QPdcNVfAgV8Q6UGoihVWijbhhnERlgouyIpKSnMnz+fDz/8kLy8qktJVRsgDh061JZ9E0IIISplzfCyVquAegV3pRCAwPAWduyZaFRU42bL9hqJy5cv89hjj7Fx40Z0Oh3Tp09n0qRJzJkzh3/961906tTJonrX1QaItV2qRQghhLCUNcPL/oEeZJw/iT+Qhi+BbjVbc1aIpmT69Ols376dMWPGsGHDBqZOncr69evRaDRs3ryZG2+80aJ2qg0Qr5aTk2N64LGMt7e3dT0XQgghKpGeat3zh1cuHgQgwymYQDv2SzQyqqF0s2V7jcR3333H8uXL6d+/P5MmTaJly5bccMMNLFiwwKp2qq2DePr0aQYNGoSHh4dp5rKfnx++vr4yi1kIIYRNWTVBJciDwvSzAOS4htqxV0I0HufPn6ddu3YAREVF4erqygMPPGB1O9VmEB944AFUVWXp0qWEhIQ0mQc1hRBCNDzWlri5cqK0SHaRR9UzMoWDUVWsWq/RkvYaCVVVcXL6K7zTarW4ublZ3U61AeKBAwfYs2cPbdq0sb6XQgghhIUKC0vIuVJo8fkBQR4U5p4vfeEjRbLF1QzGzZbtNQ6qqnLLLbeYgsT8/HwGDx6MTqczO6+6yjPVBojdu3fn3LlzEiAKIYSwK2uyhwD+Ae5kFaQAoAuQGohCUMHk4iFDhtSonWoDxCVLlvDoo4+SnJxMhw4dcHZ2NjveqVOnGr2xEEIIcTVrAkRvH1d0Lk74l6QC4BUSZceeiUZHtfGwcCMZYV6zZg3PPvtsuVitJqoNEC9dusTJkycZO3asaZ+iKKiqiqIo6PWWFzQVQgghKmP1BJWCPIK4XPo6TIpkC3HnnXeSkpJCUFAQWq2WCxcuEBwcXKO2qg0QH3roIWJiYvjss89kkooQQgi7ybBmgkqgB2nnTxMOFKjO+AU2s2vfRCNjMJRutmyvEQgKCuKXX35h8ODBpkReTVUbIJ49e5Y1a9Zw/fXX1/hNhBBCiOpYO4P58oX9hAOXNEFEaKqt2iYcimMupfLoo48yZMgQ01KDoaGVl3+qbgS42gCxf//+HDhwQAJEIYQQdqPXG7icUfXasFcLCPIg9bfSGoiZulAi7Ng3IRqLOXPmcN999/HHH3/w97//nWXLluHr61ujtqoNEAcPHszUqVM5ePAgHTt2LPfg49///vcavbEQQghRJutyPnq95VmagEAPzl8urYGY7y7Dy+IaDlwHsW3btrRp04bRo0dz99134+npWaN2qg0QH330UQDmzp1b7phMUhFCCGEL1kxQcXFxwsNLhzb7TwD0XlIDUYirqarKp59+yrPPPkvr1q1r1Ea1D20YDIZKNwkOhRBC2EKaFWsw+wd5oCgKrvkXAND6yQCzuEbZWsy23BoRjUZD69atSU9Pr3kbNu2REEIIUQMZ1pS4CXQHwKfoIgDuQVIkW4hrvfTSSzz11FMcOnSoRtdXO8QMkJuby08//URSUhJFRUVmxx5//PEavbEQQghRxpoZzIFBnqgGA0H6S6CAb6jUQBTXcOBnEMs8+OCD5OXl0blzZ3Q6Xbn1mDMyMqq8vtoAcd++fQwcOJC8vDxyc3Px9/cnLS0Nd3d3goODJUAUQghRK6qqWl3iJjP9In5K6brNgeEt7Ng70SjZeli4kQ0xAyxatKhW11cbIE6dOpXBgwezePFifHx8+OWXX3B2duaBBx7giSeeqNWbCyGEEHm5RRQUlFh8fkCQB+nn9+EHpOFLoJuHXfsnRGM0evToWl1f7TOI+/fv5//+7//QaDRotVoKCwuJiIjglVde4dlnn63VmwshhBDWZA81GgVffzeuXDwDQIZTzZYRE01c2RCzLbdG6OTJk8yYMYMRI0aQmlq6bvl3333H77//Xu211QaIzs7OaIwV6oODg0lKSgLAx8eHc+fO1b73QgghHFqaFQGir787Wq2GwvTSItk5rpWvFCGEI/vpp5/o2LEjO3fuZNWqVeTk5ABw4MABZs+eXe311QaIMTEx7N69G4C+ffsya9YsPv30U6ZMmUKHDh1scQ9CCCEcmHXPH5bOYCazNEFR5BFur26JxszBy9wATJ8+nRdeeIGNGzei0+lM+/v3788vv/xS7fXVBogLFiygWbPSKvXz58/Hz8+PCRMmkJaWxnvvvVfb/gshhHBwGVbOYAbQ5Z4v3eEjRbJFeSoGm2+NzcGDB7nzzjvL7Q8ODiYtLa3a66udpNK+fXtU49h7cHAwixcv5ptvviE6Opobbrihpv0WQgghwMpVVAKCSiekeBSkAKALkBqIQlTE19eXCxcu0KKF+Sz/ffv2ER5efea92gzikCFD+PjjjwHIzMzkxhtvZOHChQwdOpR33323Nn0XQgjh4IqL9WRlFlh8fkBgaYAYUFJaJNsrJMpufRONmMFg+62Rue+++3j66adJSUlBURQMBgPbtm3jySef5MEHH6z2+moDxL1793LTTTcB8NVXXxESEsLZs2f5+OOPeeONN2xzF0IIIRySNc8fAvgHulNYkEcgmQAEhEmRbCEqsmDBAtq1a0dkZCQ5OTlER0cTFxdHr169mDFjRrXXVzvEnJeXh5eXFwDff/89d911FxqNhhtvvJGzZ8/a5i6EEEI4JGsCRE9PF1zdnEk+dZxwIF/V4RfYzK79E42UA6+kYjAYePXVV1mzZg1FRUWMGjWKu+++m5ycHGJiYmjdurVF7VSbQbz++utZvXo1586dY8OGDQwYMACA1NRUvL29a38nQgghHJY1zx/6G2cwX75wCoBL2iAUTbW/xoRDUgGDDbfGEyDOnz+fZ599Fk9PT8LDw1mxYgVfffUV9957r8XBIZYEiLNmzeLJJ58kKiqKnj17EhsbC8ZsYkxMTO3uQgghhEOzdg1mgPxLpaNXWc4hduuXEI3Vxx9/zDvvvMOGDRtYvXo1//3vf/n0008xWPkcZbVDzMOGDaNPnz5cuHCBzp07m/bfcsstFU6fFkIIISxlTYmbshnMJZdLayDmu8vwsqiEAw8xJyUlMXDgQNPr+Ph4FEXh/PnzXHed5WWhqg0QAUJDQwkNNa9W36NHD2v6K4QQQpgxGFQy0vMsPr8sQNRm/wmA3ktqIApxrZKSElxdXc32OTs7U1xcbFU7FgWIQgghhK1lZ+ZTUmL5sFdAYOkziK75FwDQ+kXYrW+ikbP16ieNaCUVVVUZM2YMLi4upn0FBQU8+uijeHh4mPatWrWqynYkQBRCCFEvrJmg4uysxcunNCviW1RaJNs9SIpki0o48BDz6NGjy+174IEHrG5HAkQhhBD1Iv2S5cPL/oHuKIqCajAQpL8ECviGSg1EIa61bNkym7QjAaIQQoh6Yc0M5rLnDzPTL+KnFAEQdJ0EiKIyNh5iboRrMddWgy0g9dJLL6EoClOmTDHtKygoYOLEiQQEBODp6cndd9/NxYsXza5LSkpi0KBBuLu7ExwczFNPPUVJSUk93IEQQoiq1GQN5vTzJwFIwxcXV3e79U0IR9cgA8Tdu3fz3nvv0alTJ7P9U6dO5b///S9ffvklP/30E+fPn+euu+4yHdfr9QwaNIiioiK2b9/ORx99xPLly5k1a1Y93IUQQoiqWJVBNK7BfOXiGQAynILt1i/RBJQ9g2jLzcE0uAAxJyeHkSNH8sEHH+Dn52fan5WVxYcffsjChQvp378/Xbt2ZdmyZWzfvp1ffvkFjMW7Dx8+zH/+8x9uuOEGbr/9dubNm8fbb79NUVFRPd6VEEKIq+XnFZGXa/nP5bIMYmF6aZHsHNfQaq4QDq1sFrMtNwfT4ALEiRMnMmjQIOLj483279mzh+LiYrP9bdu2JTIykh07dgCwY8cOOnbsSEjIX9X1ExISyM7O5vfff6/DuxBCCFEVa7KHigL+Acbh5MzSItlFHuH26poQoqFNUvn888/Zu3cvu3fvLncsJSUFnU6Hr6+v2f6QkBBSUlJM51wdHJYdLztWlezsbLPXLi4uZjWEhBBC2I41M5h9/dxwctYCoMs9X7rTR4pkiyo4cJkbW2kwAeK5c+d44okn2LhxY7kK4HUhIsK84Ors2bPp378/MTExrF271uzYTTfdREpKCtHR0fz888+kp6ebtdO2bVsuXryIs7Mze/bsMbv23nvvZdu2bcTGxvLVV1+ZHevRowd5eXmEh4dz6NAhkpOTTceCg4Pp0aMHJ06cIDAwkG3btpldO2TIEH799Vfi4uJYuXKl2ZqLnTp1wtnZGS8vL5KSkjh16pTpmLe3NwMGDGD37t20atWKzZs3m7WbkJDAoUOHiIuLY/Xq1eTn55uOtWnThsDAQAwGA1lZWRw+fNh0zMXFhbvuuovExEQ6d+7MunXrzNrt168fSUlJdO7cmS1btnD58mXTsebNm9OqVSvTvn379pldO2LECBITE+nRowfffPON2bHY2FiysrKIiopi7969Zn8YhIaG0qVLF86cOYOPj48p81zmzjvvZNeuXcTFxfHZZ5+ZHStbd9zPz4+TJ09y9uxZ0zE/Pz/69evHgQMHiIyMZMuWLWbXDhw4kAMHDhAXF8eqVasoLCw0HYuOjsbHxweNRkNaWhrHjh0zHXNzc2Po0KEkJibSoUMHNmzYYNZu//79OXnyJN27d+f77783+yOnZcuWREZGcuXKFYqLi/ntt99MxzQaDcOHDycxMZFu3brx7bffmrXbu3dv0tLSaN26Nbt27SI1NdV0LDw8nA4dOpCcnIy7uzu7du0yu3bYsGHs2LGD3r1788UXX5gd69q1K8XFxYSEhHD06FHOnTtnOhYQEECfPn04fPgwoaGhbN261ezaO+64g3379hEXF8eXX35pNvGsQ4cOuLu74+LiQkpKCidOnDAd8/T0ZODAgezYsYO2bduyceNGs3ZvvfVWjh49SmxsLOvWrSMnJ8d0rHXr1oSGhlJYWEheXh6HDh0yHXNycuKee+4hMTFRfkbU8GfE+TMawI+szEw8PD3JyMgwa9fX15eCggI8PT3JvHLR9G+yc07p902JWyBHjx4F+RnRYH9G6PV6ROOlqGrDCItXr17NnXfeiVarNe3T6/UoioJGo2HDhg3Ex8dz+fJlsyxi8+bNmTJlClOnTmXWrFmsWbOG/fv3m46fPn2ali1bsnfvXtM/4KtlZ2fj4+PDuXPn8Pb2Nu2XDKIQQtjPl5/s449jlyw6t0fv5txyexsA0uY0J5BM/rjzf1zfuY+deylqo+z3a1ZWltnv17p4z8wTy/D2st0s9+wrefi2Hlun91LfGswziLfccgsHDx5k//79pq1bt26MHDnS9P/Ozs5s2rTJdM2xY8dISkoiNjYWjH8ZHjx40OyvmY0bN+Lt7U10dHSV7+/t7W22SXAohBD2U5MSN4UFeQSSWbovrJXd+iaaAJnFXGsNZojZy8uLDh06mO3z8PAgICDAtP/hhx9m2rRp+Pv74+3tzeTJk4mNjeXGG28EYMCAAURHRzNq1CheeeUVUlJSmDFjBhMnTpSATwghGoiSYj2ZGZY/g1hW4ibt/GnCgXxVh29ASLXXCSFqrsEEiJb497//jUaj4e6776awsJCEhATeeecd03GtVsvatWuZMGECsbGxeHh4MHr0aObOnVuv/RZCCPGXyxl5ViVkyjKIly+cIhy4pA0iUtNgBsBEQ2Tr0jQOWOamQQeI1z7I6+rqyttvv83bb79d6TXNmzcvNyFCCCFEw2HNDGZ3d2fcPXQA5F8qnfiR5SzZQyHsrUEHiEIIIZqemqzBDFByuXQGc757M7v0SzQhBhsvn+x4CUQJEIUQQtQtayao+F8VIGqzSwNEvZfUQBTVkCHmWpOHOIQQQtSpmqzBDOCWdwEArV9EFVcIIWxBMohCCCHqjKqqNSpxA+BTfBEA9+Aou/RNNCEGwGDD0jSOl0CUDKIQQoi6cyWrgOIiy1fYKAsQVYOBIH1pYW2/Zi3t1j8hRCnJIAohhKgz6WmWz2DWajX4+LoBkJl+ET+lCIDAsBZ2659oImQt5lqTAFEIIUSdse75Q3c0GqX0uvMn8QPS8CXQ1XZLqIkmymAo3WzZnoORIWYhhBB1xpoA8eoZzFcungEgwynYLv0SQpiTDKIQQog6U9MJKoXppUWyc1xD7dIv0cTIEHOtSQZRCCFEnalpiRsyS2sgFnmE26NbQtTa22+/TVRUFK6urvTs2ZNdu3ZVef6iRYto06YNbm5uREREMHXqVAoKCkzH58yZg6IoZlvbtm3r4E5KSQZRCCFEnSgsKCbnSqHF51+dQdTlJpf+j48UyRYWMKg2LnNTdVsrV65k2rRpLF68mJ49e7Jo0SISEhI4duwYwcHlH4tYsWIF06dPZ+nSpfTq1Yvjx48zZswYFEVh4cKFpvPat2/PDz/8YHrt5FR3YZsEiEIIIeqENTOYAfyvyiB6FqQA4BIoNRCFJWw8xEzVbS1cuJBx48YxduxYABYvXsz//vc/li5dyvTp08udv337dnr37s39998PQFRUFCNGjGDnzp1m5zk5OREaWj+PVcgQsxBCiDphzfCyt48rOp3W9Nq/JBUArxAJEIX9FRYVk52Tb7ZVpqioiD179hAfH2/ap9FoiI+PZ8eOHRVe06tXL/bs2WMahj516hTr1q1j4MCBZuedOHGCsLAwWrZsyciRI0lKSrLZPVZHMohCCCHqRI0nqBTkEUhm6f6wVnbpm2hiajnE/OK7/2Pu2/+16Ny0tDT0ej0hISFm+0NCQjh69GiF19x///2kpaXRp08fVFWlpKSERx99lGeffdZ0Ts+ePVm+fDlt2rThwoULPP/889x0000cOnQILy+vGt+bpSRAFEIIUSfSU2s2QSXt/GnCgXxVh29ASJXXCWELz/xjINPGDjC9zs7JJ7LfP23W/pYtW1iwYAHvvPMOPXv25I8//uCJJ55g3rx5zJw5E4Dbb7/ddH6nTp3o2bMnzZs354svvuDhhx+2WV8qIwGiEEKIOlHTDOLlC6cIBy5pg4jUyJNRwgKqoXSrIRdnLS7Ofz3iUFVbgYGBaLVaLl68aLb/4sWLlT4/OHPmTEaNGsUjjzwCQMeOHcnNzWX8+PE899xzaCr4Pvf19eVvf/sbf/zxR43vyxryL00IIYTd6fUGLqdbPknl6gAx/1JpDcQsZ8keCguVDTHbcquETqeja9eubNq06a+3NxjYtGkTsbGxFV6Tl5dXLgjUaksDUrWSyTU5OTmcPHmSZs2a1fBDsY5kEIUQQthdZkY+BiueCbs6QCzJKH0wP9+9bn4xCmGtadOmMXr0aLp160aPHj1YtGgRubm5plnNDz74IOHh4bz44osADB48mIULFxITE2MaYp45cyaDBw82BYpPPvkkgwcPpnnz5pw/f57Zs2ej1WoZMWJEndyTBIhCCCHszprhZRdXJzw8dabX2it/AqD3jrBL30TToxr/s2V7VRk+fDiXLl1i1qxZpKSkcMMNN7B+/XrTxJWkpCSzjOGMGTNQFIUZM2aQnJxMUFAQgwcPZv78+aZz/vzzT0aMGEF6ejpBQUH06dOHX375haCgIJvdV1UkQBRCCGF31q6goiiK6bVb3gUAnPwkQBQN16RJk5g0aVKFx7Zs2WL22snJidmzZzN79uxK2/v8889t3kdrSIAohBDC7qwKEK8aXgbwKS59+N8tqLnN+yWaqDpeSaUpkgBRCCGE3RUWlKAo5otb5OZlUVCQg6urJx7uPqb9V5e4UQ0GgvSXQAG/Zi3rutuisarlLOYK23MwEiAKIYSwu6BQT/wC3Cgq1FNQUMzFlEv8eSKFrGIVQ2Yq1/k3x8vTF0UB/0A303WZ6RfxU4oACAxrUY93IIRjkQBRCCGE3f26PYnCwhLT6/SMZNJySwgOb0dq4RGKinIpLvKiuFiPs875r/POn8QPSMOXQFf3euq9aHRkiLnWpA6iEEIIu1JVlaKiErN9rq6e6PTFpCYfQWcoxtPTGzd3Z7x9XPEL+CuDmJ1yGoAMp+A677cQjkwyiEIIIeyqpMTAtbV/Pdx9aB7cosJnEHW6v1awKEovLZKd41rxihRCVEhVKfdNV9v2HIwEiEIIIeyqqFBf4X4Pdx+zwLCMs+6qX01ZpTUQizzC7ddB0fQYVDDYcGKJDDELIYQQtlV8zfByVRQFnJ3/+tWky00u/R9fqYEoRF2SDKIQQgi7KiqqOINYEWdnrVmRbM+CFABcAqQGorCCatxs2Z6DkQyiEEIIu7ImQNS5mOct/EtSAfAKibJ5v4QQlZMMohBCCLsqtiZAvGqCSmFBHoFkAhAQ1soufRNNlMFg42cQpVC2EEIIYVNFhZY/g+h8VYCYdv404UC+qsM3IMROvRNNksxirjUZYhZCCGFXNR1ivnz+JACXtEEoGvl1JURdkgyiEEIIu6rpEHPepdIaiFnOkj0UVlJtvJKKZBCFEEII27p2FZWqXD3ErL98DoB89zC79EsIUTnJIAohhLArq4aYryqSrb1SWiRb732dXfolmjDVULrZsj0HIwGiEEIIuyquZCWVilw9xOyWdwEAJz8pki2sZLDxELOspCKEEELYllWFsl3+ChB9ii8C4BYkRbKFqGuSQRRCCGFX1jyDWJZBVA0GgvSXQAG/Zi3t2DvRJEmZm1qTDKIQQgi7sm4Wc2neIjP9Im5KEQCBYS3s1jchRMUkgyiEEMKurBpiNmYQ05L/wA9Iw5dAV3c79k40SfIMYq1JgCiEEMKurJvFXBogXrl4BoB0pxAC7dYz0VSpBhXVhkGdLdtqLGSIWQghhF0VW7HUns44SaUovbRIdq5rqN36JYSonGQQhRBC2JV1Q8zGX0tZpTUQizykSLaoAZmkUmuSQRRCCGFXNRli1uUml+7wlRqIQtQHySAKIYSwq+IalLnxLEgBwCVAaiCKGtAbN1u252AkQBRCCGE3er0Bvd7y4bmyMjf+JakAeIVE2a1vogmTIeZakyFmIYQQdmPN8DLGlVQK8nMJJBOAgLBWduqZEKIqkkEUQghhN9bMYAZwdtZy/tRprgPyVR2+ASF265towqQOYq1JBlEIIYTdWDWD2VmLRqOQmXIKgFRtMIpGfk0JUR8kgyiEEMJuarKKSt6l0hqIWTrJHooaMqhgxbOvFrXnYCRAFEIIYTfWrcNcGiDqL58DoMCtmd36JZo2VVVRbTixxJZtNRaSuxdCCGE3RTUocaO9UlokW+99nd36JYSommQQhRBC2E1RoRVDzC6lv5Lc8i4A4OQnRbJFDckklVqTDKIQQgi7KbJmHWZjBtGn+CIAbkFSJFuI+iIZRCGEEHZj7TJ7qsFAkP4SKODXrKVd+yaaMMkg1poEiEIIIezGmkkqzjotl9Mu4K8UYVAVAsNa2LVvoulSDaWbLdtzNDLELIQQwm6syyA6kX6+tAZiuuKLi6u7HXsmhKiKZBCFEELYjVWzmF20XLl4BoAMp2CC7Ngv0cQZVDDYMO3ngEPMkkEUQghhN8VWzGLW6ZwoSi8tkp3rGmrHXgkhqiMZRCGEEHZj1RCzixZ9VmkNxCKPMDv2SjR5Mkml1iRAFEIIYTfWLrWnzU0ufeErNRBFzalq6WbL9hyNBIhCCCHsptjKlVScClIAcAmQGohC1CcJEIUQQtiNtbOYfUtSAfAKibJjr0STp1dLN1u252BkkooQQgi7sSZAVNUiAskEIDD8ejv2SghRHckgCiGEsJtiK5bay8sunaCSp7rg4x9sx16JJk8mqdSaBIhCCCHsxpoMYkHmOQAuaYNorpEBLlEbNp6lguMFiA3mX+CLL75I9+7d8fLyIjg4mKFDh3Ls2DGzcwoKCpg4cSIBAQF4enpy9913c/HiRbNzkpKSGDRoEO7u7gQHB/PUU09RUmL5X7BCCCFsw6A3UFJiebHikszSDGKWLsSOvRJCWKLBBIg//fQTEydO5JdffmHjxo0UFxczYMAAcnNzTedMnTqV//73v3z55Zf89NNPnD9/nrvuust0XK/XM2jQIIqKiti+fTsfffQRy5cvZ9asWfV0V0II4bisyR4CcKU0QCxwa2afDgnHUTZJxZabg2kwQ8zr1683e718+XKCg4PZs2cPcXFxZGVl8eGHH7JixQr69+8PwLJly2jXrh2//PILN954I99//z2HDx/mhx9+ICQkhBtuuIF58+bx9NNPM2fOHHQ6XT3dnRBCOB5rA0TnnPMA6L2vs1OPhBCWajAZxGtlZWUB4O/vD8CePXsoLi4mPj7edE7btm2JjIxkx44dAOzYsYOOHTsSEvLX8ERCQgLZ2dn8/vvvVb5fdna22VZYWGinOxNCCMdQbEWAqNVqcMsvDRCd/KRItqgdVVVtvjmaBpNBvJrBYGDKlCn07t2bDh06AJCSkoJOp8PX19fs3JCQEFJSUkznXB0clh0vO1aViAjzH0izZ8+mf//+xMTEsHbtWrNjN910EykpKURHR/Pzzz+Tnp5u1k7btm25ePEizs7O7Nmzx+zae++9l23bthEbG8tXX31ldqxHjx7k5eURHh7OoUOHSE5ONh0LDg6mR48enDhxgsDAQLZt22Z27ZAhQ/j111+Ji4tj5cqVGK5apLxTp044Ozvj5eVFUlISp06dMh3z9vZmwIAB7N69m1atWrF582azdhMSEjh06BBxcXGsXr2a/Px807E2bdoQGBiIwWAgKyuLw4cPm465uLhw1113kZiYSOfOnVm3bp1Zu/369SMpKYnOnTuzZcsWLl++bDrWvHlzWrVqZdq3b98+s2tHjBhBYmIiPXr04JtvvjE7FhsbS1ZWFlFRUezdu9fs6x4aGkqXLl04c+YMPj4+pj8sytx5553s2rWLuLg4PvvsM7NjMTExAPj5+XHy5EnOnj1rOubn50e/fv04cOAAkZGRbNmyxezagQMHcuDAAeLi4li1apXZHx/R0dH4+Pig0WhIS0sze+7Wzc2NoUOHkpiYSIcOHdiwYYNZu/379+fkyZN0796d77//nuzsbNOxli1bEhkZyZUrVyguLua3334zHdNoNAwfPpzExES6devGt99+a9Zu7969SUtLo3Xr1uzatYvU1FTTsfDwcDp06EBycjLu7u7s2rXL7Nphw4axY8cOevfuzRdffGF2rGvXrhQXFxMSEsLRo0c5d+6c6VhAQAB9+vTh8OHDhIaGsnXrVrNr77jjDvbt20dcXBxffvml2XPFHTp0wN3dHRcXF1JSUjhx4oTpmKenJwMHDmTHjh20bduWjRs3mrV76623cvToUWJjY1m3bh05OTmmY61btyY0NJTCwkLy8vI4dOiQ6ZiTkxP33HMPiYmJ8jOiip8RwQFRFBYUoAIlJSXk5eWZjmkUhcCgILIyM/Hw9CQjIwPvoAugwNE/M7juwgX5GdHIf0bo9VY+YmBLMou51hS1AYbFEyZM4LvvvuPnn3/muutKhxpWrFjB2LFjy2X2evTowc0338zLL7/M+PHjOXv2rNk/kry8PDw8PFi3bh233357uffKzs7Gx8eHc+fO4e3tbdrv4uKCi4uLXe9TCCGasrOnMlix9FeLzvX21vFw7jBclWKSH/yF8Jbt7N4/YV9lv1+zsrLMfr/WxXumvjUFbzfb/Q7Pzi8keNKiOr2X+tbgMoiTJk1i7dq1JCYmmoJDjH/ZFRUVkZmZaZZFvHjxIqGhoaZzrs1olM1yLjunMt7e3g7zRRdCiLpgzRCzs1MurkoxBlUhMEyW2RO1ZDButmzPwTSYZxBVVWXSpEl88803bN68mRYtWpgd79q1K87OzmzatMm079ixYyQlJREbGwvGoYODBw+apbs3btyIt7c30dHRdXg3QgghiqxYh9mZSwCkK764uLrbsVdCCEs0mAzixIkTWbFiBd9++y1eXl6m50J8fHxwc3PDx8eHhx9+mGnTpuHv74+3tzeTJ08mNjaWG2+8EYABAwYQHR3NqFGjeOWVV0hJSWHGjBlMnDhRhouFEKKOWbUOs6E0QMxwCibIjn0SjkE1qKg2fG7Qlm01Fg0mQHz33XfBOHnhasuWLWPMmDEA/Pvf/0aj0XD33XdTWFhIQkIC77zzjulcrVbL2rVrmTBhArGxsXh4eDB69Gjmzp1bx3cjhBDCmiFmN33pyE+ua9WPAwlhEZmkUmsNJkC0ZK6Mq6srb7/9Nm+//Xal5zRv3rzcjFkhhBB1r6jQ8gDR3RggFnmE2bFHQghLNZgAUQghRNNizTOI3nrjsqm+UgNR2IBkEGutwUxSEUII0bRYM8TsZ3wG0SVAZjAL0RBIBlEIIYRdWDNJJchwCRTwCmlhwdlCVM3Wq580wJLRdicBohBCCLuwNEBU1UICldLlVQPDW9m5V8IhGFTQyxBzbcgQsxBCCLsoKrTsGURnMgDIU13w8Q+2c6+EEJaQAFEIIYRdWJpBdDEWyb6kDULRyK8lYQOqHTYHI/8ShRBC2EWxhRlEdyUNgCxdiJ17JISwlDyDKIQQwi4szSB6UhogFrg1s3OPhKNQDQqqQbFpe45GAkQhhBB2YWmA6KuUDjHrva+zc4+Eo5AyiLUnQ8xCCCHswtI6iAHGIWYnv0g790gIYSnJIAohhLA5g0GluNiyADGIdADcg6Ls3CvhMFSldLNlew5GMohCCCFsztLgUFUNhBoziL7NWtq5V0IIS0kGUQghhM0VF1oWIGq4gqtSjEFVCAyTZfaEbahq6WbL9hyNZBCFEELYXFGRZSVudMYZzOmKLy6u7nbulXAUqsH2W3XefvttoqKicHV1pWfPnuzatavK8xctWkSbNm1wc3MjIiKCqVOnUlBQUOG5L730EoqiMGXKlJp+JFaTAFEIIYTNWTqD2dVYJDvDSVZQEY3XypUrmTZtGrNnz2bv3r107tyZhIQEUlNTKzx/xYoVTJ8+ndmzZ3PkyBE+/PBDVq5cybPPPlvu3N27d/Pee+/RqVOnOriTv0iAKIQQwuYsroFoLHGT6xpq5x4JR1I2xGzLrSoLFy5k3LhxjB07lujoaBYvXoy7uztLly6t8Pzt27fTu3dv7r//fqKiohgwYAAjRowol3XMyclh5MiRfPDBB/j5+dnyI6qWBIhCCCFsrtjCIWZv4xBzkUeYnXskhH0UFRWxZ88e4uPjTfs0Gg3x8fHs2LGjwmt69erFnj17TAHhqVOnWLduHQMHDjQ7b+LEiQwaNMis7boik1SEEELYXJGFk1T8jDOY8ZUaiMJ2aruSSmFJCYUlf30PXyksqvTctLQ09Ho9ISHmS0WGhIRw9OjRCq+5//77SUtLo0+fPqiqSklJCY8++qjZEPPnn3/O3r172b17d43vozYkQBRCCGFzlg4xByqlNRBdAiRAFLZT21nMC7fs5JXN223ZJTNbtmxhwYIFvPPOO/Ts2ZM//viDJ554gnnz5jFz5kzOnTvHE088wcaNG3F1dbVbP6oiAaIQQgibs3QVlWBjBtErpIWdeySE5ab27cljvbuZXl8pLKTjK+9VeG5gYCBarZaLFy+a7b948SKhoRU/Wztz5kxGjRrFI488AkDHjh3Jzc1l/PjxPPfcc+zZs4fU1FS6dOliukav15OYmMhbb71FYWEhWq3WRndbMXkGUQghhM1ZUuZGVQsJUrIACAxvVQe9Eo5CVZVabTqtM14urqbNU1d5Fk+n09G1a1c2bdpk2mcwGNi0aROxsbEVXpOXl4dGYx6ClQV8qqpyyy23cPDgQfbv32/aunXrxsiRI9m/f7/dg0MkgyiEEMIeLBlidiYDgDzVBR9/KXMjGq9p06YxevRounXrRo8ePVi0aBG5ubmMHTsWgAcffJDw8HBefPFFAAYPHszChQuJiYkxDTHPnDmTwYMHo9Vq8fLyokOHDmbv4eHhQUBAQLn99iIBohBCCJuzZCUVF2MNxFQlkCiNDGgJG1KNmy3bq8Lw4cO5dOkSs2bNIiUlhRtuuIH169ebJq4kJSWZZQxnzJiBoijMmDGD5ORkgoKCGDx4MPPnz7dhp2tHAkQhhBA2Z0kG0d1YAzFDG0RUHfRJOA7VoGCoxSzmitqrzqRJk5g0aVKFx7Zs2WL22snJidmzZzN79myL+3BtG/Ymf7IJIYSwOUueQfQ01kC84ixFsoVoaCSDKIQQwuYsmcXsa5zBXOjarA56JBxJbcvcVNSeo5EAUQgh6kBJiQG93mC39lUVFCtH1K69xtrXVbWXn1+MwVD+t6qiKKZzAowBouolq6gI0dBIgCiEEHVgx0+n+fnHk3ZrPzjUi9SUK7W6xtrXVbV3ITkbKlhyz8fXDR8/NwCCKC2SrfONsKrfQlRLBWz595hkEIUQQtSWwaCi0djuAfnGSDWoKFV8BqpqILSsSHawFMkWtiVDzLUnk1SEEMKGzpxMZ+nbO7h4wbpsXlOjVvMbVcMVXJViDKqCf7PmddYvIYRlJEAUQggbyc8vZu3Xh7h0MYePFv/Czp/PoKoq29csIWfHDNyKttrlfd2KthJwcaFV7V97jbWvq2svxH03vQM+pZnXHtM5zbz20MXjI9yKtqIzzmDOR8eFgxtqcfdClFfblVQq2hyNolb3Z14Tl52djY+PD1lZWXh7e9d3d4QQjZSqqqz+/DeO/m6+Hut1LhsZpX/fNIEjV9VRYsOne5wowUMpsqr9a68pUJ1wVUosfn3te1TXXq6qAzA7p0jVoFMMptf7e7/LDbfeb7PPRdS/+vj9WvaeJ56aipeLi83avVJYSOtX/+1QsYI8gyiEEDZwaP+FcsEhQJei70H71+xeD6UIKLL5+9ek/bJrXJUSq15X9h5Vn29+jk4xmF6XqBoK/vgJJEAUNqIaSjdbtudoJEAUQohayszI4/v/Him3X1X1NNOUDqXqVQWtovJe/iiynbra7L19S/Ywzu0T9KoGrWLgg/xRZFbT/rXXrC6MY6hLosWvr32P6tr7IH8UgNk5P/vcQZ+stZSoGpwUA67X97XZZyKETFKpPQkQhRCiFgx6A2u+OlTh0nIeyhH8NTnkqTrW5ffmcHZrUvN7EBjkgYurbX78pjmHsyjPjyiXY5wpbEO+7qYaXXMm7warXlvbHsCiPD/+5n0S30796fP3R9i/cQUFf/yE6/V9ZXhZiAZGAkQhhKiFHYlnSE7KrPBYa+VnABINvdmdO5bsK/mAntSUK4RH+tqsFE6+7ibSQwaSb0UdxGuvsfa1te2V7fOKHUOvW1oBlAaFEhgKO1ANikXrJ1vTnqORWcxCCFFD5//M4ufNFRe/VtVieml+AeC4oY/ZMT9/d4evkyiEaNgkgyiEEDVQVFjCmi8PYqjk4SQf9uGr5JKq+pJDe9OkDjd3HZ7etptdKYQoT55BrD0JEIUQogY2fXecy+l5lR6P1pQOL2/X90JRtPj4uhLazIsxE27E3VNn8/40tLWYKztfq5WBK2F/MsRcexIgCiGElY4fTmX/r39WfoKax43a0gLRp9Q4UEBRFAbf0xG/APe666gQQtSQBIhCCGGFnOxC1q3+vcpzApTduClFnDE0o4AWKECXHhFc3yaozvophCOTIebak1y/EEJYSFVV/vfN7+TnFVd5XidN6XJzvxh6oyga/AM96H/73+qol0IIUXuSQRRCCAvt2XmOUyfSqjxHo2bSTTkIwDn1JjRahSH3dMTZWVtHvRRCSAax9iRAFEIIC6Sl5vDj+uPVnheibMdJMfC7oRUlShj9brme0HDHWLtViAZDNW62bM/ByBCzEEJUo6TEwJovD1JSUv2CrF2Ms5f3GHoTEeVHz5ui6qCHQghhW5JBFEKIavy4/jgXL1S/SolWTaGT5gR6VSHdOY6HhnWQgthC1AMpc1N7kkEUQogqHPj1T9Z/e5jiCtZavtZ1xqX19qrtGTC0Dz6+bnXQQyGEsD0JEIUQohInjqay/tsj+Ad5UFBQQmFhSaXnqqqBnsbh5bO+t9K+c7M67KkQ4moG1fabo5EhZiGEqMCZk+l889lvGFQVjUbBy9uF4mI9+fnZ5OVfwdXVEw93H9P5LpyllSaZQtWZfvc/Wq99F8LRqQYVVW+7qE51wAhRMohCCHGN8+ey+OrT/ej15pNSiopzOH3xFBmafM6mniY3L8t0LEoprX34m1sPAkND67zPQghhS5JBFEKIq6SmXGHlx3srfOawoCCHIq0zvt4tcfI9T8mVfMAHVdXTy2k7AE4xw+uh10KIq9l6WNgBE4iSQRRCiDIZ6Xl8vnwPBfkVr5Ti6uqJTl9MavIR0s6mEXtTG5pd54O7cpRmSjpXVDfaxQ2r834LIYStSQZRCCGA7Mx8Pl/2K7k5RZWe4+HuQ/PgFhQU5ODq6snh/VnE3XI9RZd3QiEc8buZHm4eddpvIUR5qgEM1Zcttao9RyMBohDC4eXmFPHZ8r1kZRZUe66Hu4/Z5JTETUeY4FT6/KFbl/vs2k8hhGVUg22DOkcMEGWIWQjh0Aryi1n50R4y0nJrdH2XNsn4kkMavkT3GmTz/gnx/+3de1QU99kH8O/MLgu7y/0iBAQvCCRIBLystYkG0YTatxqMMTnGRkzPiec1Ma/RWN/ENqY9OW85aW1qa6yapkm1TVqrTWKqsfFSlIom3jGoGEEEg4Jyh0V2l515/0BWRm4LLCzsfj/nzNGZ32We5QH2YWZ2hsgZWCASkduyWKzY8eczdj0lpSMzZsUh+OZeAEDBsDSo1DwpQzQYSLLs8MXdsEAkIrfU3Czh4w/P4tuSml6Nf2j6aIwd54f4upabYwd+Z6GDIyQich4WiETkdiSrhM92fI0rBZW9Gj/xO1GYmhqNi1l/g1Yw41vhPsQkTXV4nETUO7LV8Yu74fkQInIrsixj766LuHS+vFfjx40Px8z/ioMgCPC4+A8AwLXhP8BwkX9vEw0Wjj4tzFPMREQuTJZlHPj8Es6dLu3V+Lj4YZj1eDwEQUDVzVKMbTwJAIiY+kMHR0pE5FwsEInIbRz59xWcPFbSq7GjxgRhzlPjIKpafm1ezvoL1IKEy6oxiIpNcnCkRNQXrbe5ceTibniKmchFyLKMhnoTqisbYbFYER0bguZmqd3zhJVjAEHoas6u2zvqY8+Yvupunx2tn/qyBNkHCwAAgiD0KMaIKH888UwS1Oq7f1P7FnwKAKgcPQcxfXo1RESDDwtEoiFElmUY682oqmpEdWXLUlXZiOoKI6qrbsNiabmS2j9Ai6WvhODY4SIcySrsdL5hYT64Wdb5LV66a++ojz1j+qq7fd67rlaLuHK5wrbu56+FX4DWrn2F3ueDp55Nhkajsm27fvUSHrBcgCQLiJ6e4YBXRESOJEkyJAc+QNmRcw0VLBCJBgGrVUKj0XxnsbT5f8v6zfJ6WJslVFc2wmzu/uN0tTW3uzxy6E5kWUZlRWOvxgYG6fB0xgR4aT0U24sPb0U4gAteiUgIH+mgSInIUSS5ZXHkfO6GBSJRP7BYrO2KvLb/v92obDOZmrucr+m2BV5eHoCdp0VlGaipuu2YFzPECYKA0TFBuHDOAlOTxe5xvn5eWPDcBOi9Ne3awop3AwAaY+c6NFYiosGCBWI/kSzNkCxdv+n3C7XYsvSR1NMHncv21S59ueato7bO+vfmGjV7rqNru72zeL65UI7d/zjv0Ovw1B4qWCUJKpX9uf1q9x8hlB6D1jwGtzXt79GnNf8HQeX5qDff36v2jvrYM6avuttnR+vDKvJhDIpDSVUyAtRf4n59Ia6bx3Yao95bgwXPTYCvf/vT0F9+9H/4jlQMiywiLpWfXiYajCQJkBx478IevR+6CEGWXfPmPhs3bsSvfvUrlJWVITExERs2bIDBYGjXr66uDn5+fqitrYWvr6/D9n/5T/9CwbZ9DpvPXt6vTEP9g959nqeywB95eSa7+4/y8kC1HU+k6Ms1bx21dda/p9eo2XsdXdvtncVTUlQFU1Oz3de42UOWZcgyIIpdV50q+QZChdOYJGQhXlVsK2LNsgpSm5sWiJCgEay9bu+oj0UW4SFIXY7pq+722dP1nsbYuv9WZx/ahKRHn3HoayRyFf31/mrPPg89+TK8PTwdNm+DxYSUnesH9LU4m0seQdy+fTtWrlyJzZs3Y/LkyVi/fj3S0tJw6dIlDBs2zNnhkYsTVY7/CG/j7TrIMEGAJ/Q6P9t2WTbBBxcQJZxBkngGI8QyxbjWo5gtRU37P6f72t62j4cg2T2mrzrbZ0/X+xKjVRbQVHAYYIFINOjIcsviyPncjUsWiG+//Taef/55PPfccwCAzZs3Y8+ePXj//ffx6quvOjs8cnEqBz9Rw9hYi+KbRfDw08NSa0RMqC8itZcQK5xFsuo8dMLdI70WWYVzchxuWQPxPY8jaJZFqAUJm28vRp16kq2fb/MJ/Lf2T71u76jPJ6YUzPU81OWYvupunz1dbxujqBIwPS0W4cM7PzpQcvJzTP76Z7bxXmMecejrIyLH4KeY+87lTjGbzWbodDrs3LkT6enptu0ZGRmoqanBrl27FP0dfQi82WLGyd8ugL6uGBWNPmhoCurznPby9qpEkL4OldpQNASM6P081cUIaLqFG9ZQlHt0P0+opRj3CeUot4agQojqtF+wXIJQ1a1O+3XV3lFbZ/3v3d7X9Y7mBdBpPBZJhArNuCWHdvn1sJfZYkKIWIpoTTn85DqEi1WK9jI5EGekRBRJ41GLBwFBDwDwF49ihOYbfFMX3ek1hiM9L+GqKa5X7R31sWdMX3W3T3vWY30L4ffgdAj+M3B4fwFEQcDcBYmIje/+DMPZ/R+hqeAwvMY8wtPLRF1w5inmg3OXO/wU84xPfutWp5hdrkC8fv06IiIicPToUUyZMsW2ffXq1Th8+DC++uorRf/Wb6Zr164pku7p6QlPz55/cx35eBMePsejlNR/rLKAc3IcLkjJKJPHw4QoCEL7o5aCAHxn2igcO1zU6Vzuch/Ee9cfnh6NqTOiAQAnvyyBp6caDyaH92vMRO7GqQXi48uhd2CBaLSYMGOXexWILnmKuTciIyMV62+88QZSU1ORnJyM3bt3K9qmTp2KsrIyxMfH48iRI6isrLS1BRQegCQDotBy36Qr1jAUG+++8ahUdz6NKoqwWpXXPomiAPnObTkk6Z4LKARAFFWQZQkCBEj3fKRqpP4GRqlu3N2vEI6rXqPvzNtSPAiCAEmWIbcZKwgCRFGEJEkQRRGRxssYLV+3zVMoR+ASxtjibfvXhCgIiMVlRAtt+kvh+MY6GsKd1ypJEgRBRLRwGdHi3X5XpAhclkZDEFr2HaMq7KC95Q18jFjQrk2GrNjWut841RWMbrO9VtbDTzD2er2jeVvTIrTpIwCK9rZthXIMZLnl69v+ayi2+VS08uHyAgSoVCKiUYDRYilEoaU4/Kc5BYcrn4S/vz+abt+Gj6+AyspKxfeTl5cXvLy8UHK1FEajEUajUfH9MmzYMNTW1CAw2As3b95UtPn5+sJisUCr0+H69VJUVTTZ2jw1Gui99TCZzBBFEfX19ag33sTtO9OHhISgrOwGRFmPm7duKeb18faGJMvQaDRobGyEyXT31LiHWg0/f38YjUZoNBrU1tYqxgYFBaGhvh5+/v64deuWYp96vR51dTJMJjPMZjNu375ta1epVAgKDER5WRmaLRpUV1cDAL786ha+vXkcjz76KJqaS5A8aQr++c9/oqGhwbbPmJgYhIWFwWQyobGxEXl5ebY2tVqN+fPnIzs7u8e/IyIjI3H//fejvLwcHh4eOHXqlGLsU089hZycHEyZMgU7d+5UtBkMBjQ2NiIiIgJ5eXkoLb37TOlhw4bBYDDg8uXLCA4ORk5OjmLs448/jpMnT2LatGnYvn274nfIuHHj4OHhAR8fH5SUlODKlSu2Nl9fXzz22GM4ceIEoqOj8e9//1sxb1paGvLy8jBt2jR8+umnuH377u2V4uLiEBwcDEmSUFtbiwsXLtjaPD098cQTTyA7OxuJiYn4/PPPFfOmpKSgpKQEiYmJOHTokC13ADBixAhER0fbtp05c0YxdsGCBcjOzobBYMAnn3yiaJsyZQpqa2sxcuRInD59GmVld6/bDQsLw/jx43H16lX4+fnh2LFjirFz587F8ePHMW3aNPz1r39VtCUnJwMAAgICUFhYiOLiYltbQEAAUlJSkJubi6ioKBw6dEgx9vvf/z5yc3Mxbdo0fPzxx4qfjfj4ePj5+UEURVRUVODSpUu2Nq1Wi/T0dGRnZyMhIQFffPGFYt7U1FQUFhZi0qRJ2LdvH+rq6mxto0ePRlRUFOrr62GxWHDu3DlbmyiKePrpp5GdnY2JEye2O/P20EMPoaKiAjExMTh+/Ljid0hERAQSEhJQWlra7j2OhhaXO4LY21PMjjqCePSz9/Dd06/YrlH6sHAOAktD+viqulcVcQsLoz+7u98xyxEwbVqP56nOzsbCgt/a5nkLr6AqcEan/QOrDuJ/8Wtb//WN/9Pp6cqXdb/rtF9X7R21Aeiw/719P7w9Cwu1e3u93tm8ADqMxyoLUAmy7d/Ovh494Ssfx4sev7Ltb6Plx6gT2n8iv5VKJcA/UIfAIB10eg1yT5V22pdHEImovzjzCOL+Of/j8COIj372O7c6guhyBSIATJ48GQaDARs2bAAASJKEqKgoLFu2rN2HVPrjG/joZ+/BeGovbl7RDUhx2Koq4hYCYo2oHpXQq+KwVXV2NryvXkJ+89gui8NWgVUHESvlobip6+vO+nLNW0dtnfV3xDVq3c0LoNN4jGYRXiorrjU77l6AvvJxjPLKR4nlAVRLk6BSCfALaCkCA4N0CGiz+Pp52W6Hw2cxd7yuUomK5yoTkeM5s0D84geOLxDTdrNAHPK2b9+OjIwMbNmyBQaDAevXr8ff//535OfnIzQ0VNGX90HsGO+D2Pv7IN4sq4evnxfqapvaje+OWi1Cp9dAq/OAXq+B7s6i1XsgKFgPvbcG3j6eLUVgD26aTUQ00FggDm0ueQ3i008/jVu3bmHt2rUoKytDUlIS/vWvf7UrDon6i0ajvvOv6k6Bp4FOf7fo0+o8bMWfTq+B7s66h0YFob8PvxERuThZkiE78NY0jpxrqHDJAhEAli1bhmXLljk7DHJTY+4PxuIXJsPDQ+XsUIiIiHrMZQtEZ4teOBOjnkoZ+B076lnM4cD8h3swgM9iVmzjNW5ERM4jyS2LI+dzNywQ+4nooYboMYS/vKxtiIhoiJKtgOzA9zHZDe/YwzKAiIiIiBSG8CEuIiIiovZ4irnveASRiIiIiBR4BJGIiIhciiw7+DY3rnfL6G6xQCQiIiKXIkktiyPnczc8xUxERERECiwQ+4HJZMLPfvYzmEz2P6qO+g/zMbgwH4ML8zH4MCd9J8mywxd345LPYu6J/nhWpDOeP0mdYz4GF+ZjcGE+Bh9XyYkzn8X88fQXoVc78FnMzSY8kbVxyOekJ3gEsQsbN27s9TZncVQsPZ3H3v7d9euqvSdf+8GSE3fLR2fb3T0f9o5xt3zAQbEwH47jrHw4mmx1/OJueASxi79w4uPjceHChR5vc+Zffx3FNxDz2Nu/u35dtdubj3u3Mx+979fTfHS23d3zYe8Yd8tHZ/ENxByDNR9wgZ+R1jmceQRx59QXoHPgEcTGZhOe/M/v3eoIott/irm1Pq6rq2vXZrVa2223Z1vr/zuas791FN9AzGNv/+76ddVubz7u3c589L5fT/PR2XZ3z4e9Y9wtH53FNxBzDNZ8wAV+RlrnaJ3HGcehGpvNg3q+ocDtjyB+++23iIyMdHYYRERELunatWsYPnz4gOyrqakJo0aNQllZmcPnDgsLQ1FREby8vBw+92Dk9gWiJEm4fv06fHx8IAiCs8MhIiJyCbIso76+HuHh4RDFgfvIQ1NTE8xmxx/x02g0blMcggUiEREREd2Ln2ImIiIiIgUWiERERESkwAKRiIiIiBRYIA6w3bt3Iy4uDjExMXjvvfecHQ4BmDt3LgICAvDkk086OxS3d+3aNaSkpCA+Ph7jxo3Djh07nB2SW6upqcHEiRORlJSEhIQE/OEPf3B2SASgsbERI0aMwKpVq5wdCrkwfkhlADU3NyM+Ph5ZWVnw8/PDhAkTcPToUQQFBTk7NLd26NAh1NfXY+vWrdi5c6ezw3FrN27cQHl5OZKSklBWVoYJEybgm2++gV6vd3ZobslqtcJkMkGn08FoNCIhIQEnT57k7ywn+8lPfoKCggJERkZi3bp1zg6HXBSPIA6g48ePY+zYsYiIiIC3tzdmzZqFffv2OTsst5eSkgIfHx9nh0EA7rvvPiQlJQF37jkWHByMqqoqZ4fltlQqFXQ6HQDAZDJBlmWn3PSY7rp8+TLy8/Mxa9YsZ4dCLo4FYg9kZ2dj9uzZCA8PhyAI+PTTT9v12bhxI0aOHAkvLy9MnjwZx48ft7Vdv34dERERtvWIiAiUlpYOWPyuqK85IcdyZD5OnToFq9XKG9n3gSPyUVNTg8TERAwfPhw//vGPERwcPICvwLU4Ih+rVq1CZmbmAEZN7ooFYg8YjUYkJiZ2+iDy7du3Y+XKlXjjjTdw+vRpJCYmIi0tDTdv3hzwWN0FczK4OCofVVVVWLRoEd59990Bitw1OSIf/v7+yM3NRVFRET766COUl5cP4CtwLX3Nx65duxAbG4vY2NgBjpzckky9AkD+5JNPFNsMBoP84osv2tatVqscHh4uZ2ZmyrIsyzk5OXJ6erqtffny5fKHH344gFG7tt7kpFVWVpY8b968AYvVHfQ2H01NTfLUqVPlbdu2DWi8rq4vPx+tli5dKu/YsaPfY3UHvcnHq6++Kg8fPlweMWKEHBQUJPv6+so///nPBzx2cg88guggZrMZp06dwsyZM23bRFHEzJkzcezYMQCAwWBAXl4eSktL0dDQgL179yItLc2JUbs2e3JCA8eefMiyjMWLFyM1NRXPPvusE6N1ffbko7y8HPX19QCA2tpaZGdnIy4uzmkxuzJ78pGZmYlr167h6tWrWLduHZ5//nmsXbvWiVGTK1M7OwBXUVFRAavVitDQUMX20NBQ5OfnAwDUajV+/etfY/r06ZAkCatXr+anAfuRPTkBgJkzZyI3NxdGoxHDhw/Hjh07MGXKFCdE7NrsyUdOTg62b9+OcePG2a7P+vOf/4wHH3zQKTG7MnvyUVxcjCVLltg+nPLSSy8xF/3E3t9XRAOFBeIAmzNnDubMmePsMKiNAwcOODsEuuPhhx+GJEnODoPuMBgMOHv2rLPDoA4sXrzY2SGQi+MpZgcJDg6GSqVqdwF3eXk5wsLCnBaXO2NOBhfmY3BhPgYX5oMGGxaIDqLRaDBhwgQcPHjQtk2SJBw8eJCnK52EORlcmI/BhfkYXJgPGmx4irkHGhoaUFBQYFsvKirC2bNnERgYiKioKKxcuRIZGRmYOHEiDAYD1q9fD6PRiOeee86pcbsy5mRwYT4GF+ZjcGE+aEhx9seoh5KsrCwZQLslIyPD1mfDhg1yVFSUrNFoZIPBIH/55ZdOjdnVMSeDC/MxuDAfgwvzQUMJn8VMRERERAq8BpGIiIiIFFggEhEREZECC0QiIiIiUmCBSEREREQKLBCJiIiISIEFIhEREREpsEAkIiIiIgUWiERERESkwAKRiIiIiBRYIBIRERGRAgtEIuqxxYsXQxAECIIADw8PjBo1CqtXr0ZTU5OzQyMiIgdQOzsAIhqavve97+GDDz6AxWLBqVOnkJGRAUEQ8NZbbzk7tA6ZzWZoNBpnh0FENCTwCCIR9YqnpyfCwsIQGRmJ9PR0zJw5E/v37wcASJKEzMxMjBo1ClqtFomJidi5c6dtbHV1NRYuXIiQkBBotVrExMTggw8+sLV//fXXSE1NhVarRVBQEJYsWYKGhgZbe0pKCl5++WVFPOnp6Vi8eLFtfeTIkXjzzTexaNEi+Pr6YsmSJQCAnJwcpKSkQKfTISAgAGlpaaiurrYrbiIid8ECkYj6LC8vD0ePHrUdocvMzMS2bduwefNmnD9/HitWrMAPf/hDHD58GADw+uuv48KFC9i7dy8uXryITZs2ITg4GABgNBqRlpaGgIAAnDhxAjt27MCBAwewbNmyHse1bt06JCYm4syZM3j99ddx9uxZzJgxA/Hx8Th27BiOHDmC2bNnw2q12hU3EZG74ClmIuqV3bt3w9vbG83NzTCZTBBFEe+88w5MJhN+8Ytf4MCBA5gyZQoAYPTo0Thy5Ai2bNmCRx55BCUlJUhOTsbEiROBO0f7Wn300UdoamrCtm3boNfrAQDvvPMOZs+ejbfeeguhoaF2x5iamopXXnnFtv7MM89g4sSJ+P3vf2/bNnbsWACwK24iInfBApGIemX69OnYtGkTjEYjfvOb30CtVmPevHk4f/48Ghsb8eijjyr6m81mJCcnAwCWLl2KefPm4fTp03jssceQnp6O7373uwCAixcvIjEx0VYcAsBDDz0ESZJw6dKlHhWIrQVoq7Nnz2L+/Pkd9i0oKOg2biIid8ECkYh6Ra/XY8yYMQCA999/H4mJifjjH/+IhIQEAMCePXsQERGhGOPp6QkAmDVrFoqLi/H5559j//79mDFjBl588UWsW7fOrn2LoghZlhXbLBZLhzG2pdVqO52z9RrHruImInIXvAaRiPpMFEWsWbMGP/3pTxEfHw9PT0+UlJRgzJgxiiUyMtI2JiQkBBkZGfjLX/6C9evX49133wUAPPDAA8jNzYXRaLT1zcnJgSiKiIuLs429ceOGrd1qtSIvL6/bOMeNG4eDBw922GZv3ERE7oAFIhE5xPz586FSqbBlyxasWrUKK1aswNatW1FYWIjTp09jw4YN2Lp1KwBg7dq12LVrFwoKCnD+/Hns3r0bDzzwAABg4cKF8PLyQkZGBvLy8pCVlYWXXnoJzz77rO30cmpqKvbs2YM9e/YgPz8fS5cuRU1NTbcxvvbaazhx4gReeOEFnDt3Dvn5+di0aRMqKirg4+PTbdxERO6Cp5iJyCHUajWWLVuGX/7ylygqKkJISAgyMzNx5coV+Pv7Y/z48VizZg0AQKPR4LXXXsPVq1eh1WoxdepU/O1vfwMA6HQ6fPHFF1i+fDkmTZoEnU6HefPm4e2337bt60c/+hFyc3OxaNEiqNVqrFixAtOnT+82xtjYWOzbtw9r1qyBwWCAVqvF5MmTsWDBAgDAm2++2WXcRETuQpDvvZCHiIiIiNwaTzETERERkQILRCIiIiJSYIFIRERERAosEImIiIhIgQUiERERESmwQCQiIiIiBRaIRERERKTw/3eL55jXm7N2AAAAAElFTkSuQmCC",
+      "text/plain": [
+       "<Figure size 680x500 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "import plotting\n",
+    "\n",
+    "plotting.monotone = True\n",
+    "sb.initPlotting()\n",
+    "\n",
+    "fig, axs = sb.plots.plot_performance()\n",
+    "fig.savefig(HERE / \"performance.png\")\n",
+    "\n",
+    "figs, axes = sb.plots.plot_parameters_separate()\n",
+    "for param, fig in figs.items():\n",
+    "    fig.savefig(HERE / f\"{param}.png\")\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "84e31366",
+   "metadata": {},
+   "source": [
+    "## Conclusion\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "482afe23",
+   "metadata": {},
+   "source": [
+    "In general, it is better to invest fewer resources in samples while aiming for a reasonable number of iterations. This is consistent with the initial investigation.\n",
+    "The initial investigation indicated that the best achievable performance ratio could be reached with one sample per iteration and around 45 iterations, corresponding to a resource value of 45.\n",
+    "\n",
+    "However, the input recommendation plot shows a jump in performance at a much lower resource value, around 10, which translates to 1 sample and 10 iterations.\n",
+    "This does not correspond to peak performance, but it is clear that performance does not improve significantly beyond this point, making this a good operating point for the samples-versus-iterations trade-off."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "ab911333",
+   "metadata": {},
+   "source": [
+    "## References\n",
+    "\n",
+    "[1] Andrew Lucas. Ising formulations of many NP problems. Frontiers in Physics, 2, 2014.\n",
+    "[2] I. V. Oseledets. Tensor-Train Decomposition. SIAM Journal on Scientific Computing,\n",
+    "33(5):2295–2317, 2011. _eprint: https://doi.org/10.1137/090752286.\n",
+    "[3] Steven R. White. Density matrix formulation for quantum renormalization groups. Phys. Rev.\n",
+    "Lett., 69:2863–2866, Nov 1992.\n",
+    "[4] Steven R. White. Density-matrix algorithms for quantum renormalization groups. Phys. Rev. B,\n",
+    "48:10345–10356, Oct 1993.\n",
+    "[5] Matthew Fishman, Steven R. White, and E. Miles Stoudenmire. Codebase release 0.3 for\n",
+    "ITensor. SciPost Phys. Codebases, pages 4–r0.3, 2022.\n",
+    "[6] Pedro Maciel Xavier and David E. Bernal Neira. QUBOLib.jl: A Julia library of QUBO\n",
+    "instances, 2023. Accessed: 2025-11-21.\n",
+    "[7] Fabio Furini, Emiliano Traversi, Pietro Belotti, Antonio Frangioni, Ambros Gleixner, Nick\n",
+    "Gould, Leo Liberti, Andrea Lodi, Ruth Misener, Hans Mittelmann, Nikolaos Sahinidis, Stefan\n",
+    "Vigerske, and Angelika Wiegele. QPLIB: A library of quadratic programming instances.\n",
+    "Mathematical Programming Computation, 2018."
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": ".venv",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.13.0"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/examples/TenSolver/results/energy_history.json b/examples/TenSolver/results/energy_history.json
new file mode 100644
index 00000000..359164ec
--- /dev/null
+++ b/examples/TenSolver/results/energy_history.json
@@ -0,0 +1 @@
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diff --git a/examples/TenSolver/results/gurobi_best.json b/examples/TenSolver/results/gurobi_best.json
new file mode 100644
index 00000000..0452f8fd
--- /dev/null
+++ b/examples/TenSolver/results/gurobi_best.json
@@ -0,0 +1,117 @@
+{
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+    "best_objective": -806,
+    "status": 2,
+    "optimal": true
+  },
+  "309": {
+    "best_objective": -440,
+    "status": 2,
+    "optimal": true
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+  "310": {
+    "best_objective": -1686,
+    "status": 9,
+    "optimal": false
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+  "311": {
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+    "status": 9,
+    "optimal": false
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+  "312": {
+    "best_objective": -1844,
+    "status": 9,
+    "optimal": false
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+  "313": {
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+    "status": 2,
+    "optimal": true
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+    "optimal": true
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+  "325": {
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+    "status": 2,
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+  "326": {
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+    "optimal": false
+  }
+}
\ No newline at end of file
diff --git a/examples/TenSolver/results/random_baseline.json b/examples/TenSolver/results/random_baseline.json
new file mode 100644
index 00000000..cf0b5327
--- /dev/null
+++ b/examples/TenSolver/results/random_baseline.json
@@ -0,0 +1 @@
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-8885.0, 3422.0, -9606.0, 416.0, -23708.0, 3301.0, 10584.0, -26230.0, 566.0, -27993.0, 779.0, -3815.0, 3913.0, -15545.0, -27823.0, -8416.0, 5125.0, -20066.0, 2970.0, -1678.0, -5027.0, -3366.0, -11975.0, 12022.0, -7455.0, -1166.0, -10184.0, -3597.0, -322.0, -15.0, -2931.0, -2771.0, -12587.0, -3111.0, -14250.0, -9565.0, -947.0, -23077.0, -5535.0, -30478.0, -25853.0, 11412.0, -21628.0, -1172.0, 15721.0, 7044.0, -15746.0, -7307.0, 1495.0, 12918.0, -19214.0, -12191.0, -10135.0, 2238.0, -12522.0, -20733.0, -16498.0, -7798.0, -20514.0, -19268.0, 8822.0, 7240.0, -12818.0, 9248.0, -10742.0, 9022.0, -13584.0, -9968.0, -18999.0, -20898.0, 5659.0, 3189.0, 3343.0, 12234.0, 15077.0, -423.0, 1762.0, -13152.0, 173.0, 2528.0, 7214.0, -16606.0, -9656.0, 1310.0, -13171.0, -8143.0, -9414.0, -7355.0, -3016.0, 4659.0, -6430.0, -9569.0, 2214.0, -7057.0, 647.0, -8174.0, -1795.0, 14853.0, -3888.0, -17358.0, -7307.0, 1481.0, -26196.0, -24402.0, 1740.0, -3735.0, -23457.0, 3375.0, -7802.0, 39.0, -13892.0, 7256.0, -5856.0, -35939.0, -12427.0, 22.0, 11007.0, -17136.0, 1659.0, -1650.0, 10561.0, 11895.0, -11034.0, 5928.0, -6392.0, -3265.0, -9926.0, -1324.0, 4542.0, -20531.0, 6822.0, -2163.0, -7563.0, -196.0, 28056.0, -4840.0, 12869.0, -1503.0, -13253.0, -7769.0, 5741.0, -11011.0, -18442.0, 2878.0, 6754.0, 19965.0, -8400.0, -9274.0, -17865.0, -7341.0, 14475.0, 3177.0, -2618.0, 11220.0, -28466.0, 14326.0, 35416.0, -10845.0, 9758.0, -11404.0, 1758.0, -4876.0, 18864.0, -6883.0, -6242.0, 25129.0, -10432.0, -514.0, -3680.0, -13236.0, 4551.0, -6144.0, 5108.0, 2975.0, 16221.0, -8875.0, -12547.0, 19697.0, 1931.0, -10977.0, -28925.0, -9787.0, -5890.0, -17773.0, -25717.0, -12137.0, 6638.0, 10251.0, 12428.0, -8145.0, 6926.0, 6009.0, 12063.0, 25594.0, -19818.0, -18213.0, 15548.0, -8057.0, -9717.0, -26719.0, -12572.0, -30434.0, -3174.0, -6250.0, -13142.0, -11784.0, -10119.0, 2107.0, -14050.0, 4824.0, -4683.0, -10436.0, -13278.0, 1004.0, -5577.0, 2254.0, 3306.0, 2988.0, 24890.0, -10716.0, -27630.0, -9561.0, 9550.0, -26444.0, 13006.0, -5565.0, 7767.0, 9471.0, -537.0, -15149.0, -12094.0, -21435.0, 8201.0, -11736.0, 10739.0, 5298.0, -7962.0], "n": 500}}
\ No newline at end of file
diff --git a/src/stochastic_benchmark.py b/src/stochastic_benchmark.py
index 75be4f21..bc0bf69c 100644
--- a/src/stochastic_benchmark.py
+++ b/src/stochastic_benchmark.py
@@ -251,6 +251,11 @@ def initAll(
             self.populate_interp_results()
 
     def get_experiment_parameters(self) -> ExperimentParameters:
+        def baseline_recalibrate(df):
+            baseline = getattr(self, "baseline", None)
+            if baseline is not None:
+                baseline.recalibrate(df)
+
         return ExperimentParameters(
             parameter_names=self.parameter_names,
             instance_cols=self.instance_cols,
@@ -263,7 +268,7 @@ def get_experiment_parameters(self) -> ExperimentParameters:
             training_stats=self.training_stats,
             testing_stats=self.testing_stats,
             evaluate_without_bootstrap=self.evaluate_without_bootstrap,
-            baseline_recalibrate=self.baseline.recalibrate,
+            baseline_recalibrate=baseline_recalibrate,
         )
 
     def run_Bootstrap(self, bsParams_iter, group_name_fcn=None):
diff --git a/tests/test_experiments.py b/tests/test_experiments.py
index 9b4508b8..09f71e7e 100644
--- a/tests/test_experiments.py
+++ b/tests/test_experiments.py
@@ -167,6 +167,93 @@ def test_run_Interpolate_raises_runtime_error_on_none(self, mock_interp):
             with pytest.raises(RuntimeError, match="Interpolation failed"):
                 sb.run_Interpolate(iParams)
 
+    def test_run_baseline_does_not_require_existing_baseline(self):
+        """run_baseline should construct the first baseline without a placeholder."""
+        import stochastic_benchmark as sb_module
+        import tempfile
+
+        with tempfile.TemporaryDirectory() as temp_dir:
+            sb = sb_module.stochastic_benchmark(
+                here=temp_dir,
+                response_key="PerfRatio",
+                response_dir=1,
+                parameter_names=["iteration", "samples"],
+                instance_cols=["instance"],
+                reduce_mem=False,
+                smooth=False,
+            )
+            sb.interp_results = pd.DataFrame(
+                {
+                    "instance": [1, 1, 2, 2],
+                    "train": [0, 0, 0, 0],
+                    "resource": [1, 2, 1, 2],
+                    "iteration": [1, 2, 1, 2],
+                    "samples": [1, 1, 1, 1],
+                    "Key=PerfRatio": [0.5, 0.8, 0.6, 0.9],
+                    "ConfInt=lower_Key=PerfRatio": [0.4, 0.7, 0.5, 0.8],
+                    "ConfInt=upper_Key=PerfRatio": [0.6, 0.9, 0.7, 1.0],
+                }
+            )
+            sb.training_stats = pd.DataFrame()
+            sb.testing_stats = pd.DataFrame()
+            sb.stat_params = stats.StatsParameters(
+                metrics=["PerfRatio"],
+                stats_measures=[stats.Mean()],
+                lower_bounds={},
+                upper_bounds={},
+            )
+
+            assert not hasattr(sb, "baseline")
+
+            sb.run_baseline()
+
+            assert sb.baseline.name == "VirtualBest"
+
+    def test_experiment_parameters_recalibrate_late_bound_baseline(self):
+        """Experiment parameters should recalibrate a baseline added after creation."""
+        import stochastic_benchmark as sb_module
+        import tempfile
+
+        class RecordingBaseline:
+            def __init__(self):
+                self.calls = []
+
+            def recalibrate(self, df):
+                self.calls.append(df)
+
+        with tempfile.TemporaryDirectory() as temp_dir:
+            sb = sb_module.stochastic_benchmark(
+                here=temp_dir,
+                response_key="PerfRatio",
+                response_dir=1,
+                parameter_names=["iteration", "samples"],
+                instance_cols=["instance"],
+                reduce_mem=False,
+                smooth=False,
+            )
+            sb.interp_results = pd.DataFrame()
+            sb.training_stats = pd.DataFrame()
+            sb.testing_stats = pd.DataFrame()
+            sb.stat_params = stats.StatsParameters(
+                metrics=["PerfRatio"],
+                stats_measures=[stats.Mean()],
+                lower_bounds={},
+                upper_bounds={},
+            )
+
+            params = sb.get_experiment_parameters()
+            baseline = RecordingBaseline()
+            sb.baseline = baseline
+            experiment = experiments.StaticRecommendationExperiment(
+                params,
+                pd.DataFrame({"resource": [1], "iteration": [1], "samples": [1]}),
+            )
+            eval_df = pd.DataFrame({"resource": [1], "response": [0.5]})
+
+            experiment.attach_runs(eval_df, process=False)
+
+            assert baseline.calls == [eval_df]
+
 
 class TestStochasticBenchmarkUsesLogger:
     """Tests that stochastic_benchmark uses logger, not print()."""
diff --git a/tests/test_tensolver_notebook.py b/tests/test_tensolver_notebook.py
new file mode 100644
index 00000000..7e769066
--- /dev/null
+++ b/tests/test_tensolver_notebook.py
@@ -0,0 +1,52 @@
+"""Smoke checks for the TenSolver example notebook."""
+import json
+import os
+from pathlib import Path
+
+import matplotlib
+
+matplotlib.use("Agg", force=True)
+
+
+REPO_ROOT = Path(__file__).resolve().parents[1]
+NOTEBOOK = REPO_ROOT / "examples" / "TenSolver" / "TenSolver.ipynb"
+
+
+def _notebook():
+    return json.loads(NOTEBOOK.read_text())
+
+
+def _code_cell_sources():
+    return [
+        "".join(cell["source"])
+        for cell in _notebook()["cells"]
+        if cell["cell_type"] == "code"
+    ]
+
+
+def test_first_tensolver_code_cell_runs_from_repo_root(monkeypatch):
+    """The notebook should locate its data when launched from the repo root."""
+    monkeypatch.chdir(REPO_ROOT)
+    os.environ.setdefault("MPLBACKEND", "Agg")
+
+    namespace = {"__name__": "__main__"}
+    exec(compile(_code_cell_sources()[0], str(NOTEBOOK), "exec"), namespace)
+
+    assert namespace["HERE"] == REPO_ROOT / "examples" / "TenSolver"
+    assert "323" in namespace["all_data"]
+
+
+def test_tensolver_notebook_seeds_stochastic_steps():
+    """Bootstrap and train/test split output should be reproducible."""
+    source = "\n".join(_code_cell_sources())
+
+    assert "RANDOM_SEED = " in source
+    assert source.count("np.random.seed(RANDOM_SEED)") >= 2
+
+
+def test_tensolver_notebook_uses_example_dir_for_outputs():
+    """Checkpoint and plot output should stay in the example directory."""
+    source = "\n".join(_code_cell_sources())
+
+    assert "here=str(HERE)" in source
+    assert "fig.savefig(HERE / \"performance.png\")" in source