KmeansCloudVeneto.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6653307d",
   "metadata": {},
   "outputs": [],
   "source": [
    "from pyspark.sql import SparkSession, Window\n",
    "from pyspark.sql.functions import col, udf, array, min as smin, lit, count, isnan, when, sum as spark_sum, rand\n",
    "from pyspark.sql.types import IntegerType, FloatType\n",
    "from pyspark.ml.feature import MinMaxScaler, VectorAssembler\n",
    "from pyspark.ml.clustering import KMeans\n",
    "from pyspark.ml.evaluation import ClusteringEvaluator\n",
    "from pyspark.sql.functions import col, expr\n",
    "from pyspark.sql.functions import explode\n",
    "from sklearn.datasets import fetch_kddcup99\n",
    "from sklearn.metrics.pairwise import euclidean_distances\n",
    "\n",
    "\n",
    "import time\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "from sklearn.datasets import make_blobs\n",
    "from pyspark.sql import DataFrame\n",
    "from pyspark.sql.types import StructType, StructField, DoubleType\n",
    "\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "09458350",
   "metadata": {},
   "outputs": [],
   "source": [
    "def initiate_session(ncores, spark=spark):\n",
    "    \n",
    "    spark.stop()\n",
    "\n",
    "    spark = SparkSession.builder \\\n",
    "        .config(\"spark.executor.cores\", str(ncores))\\\n",
    "        .master(\"spark://10.67.22.21:7077\")\\\n",
    "        .appName(\"k-meaner\")\\\n",
    "        .config('spark.jars.packages', 'org.apache.hadoop:hadoop-common:3.2.0')\\\n",
    "        .config('spark.jars.packages', 'org.apache.hadoop:hadoop-aws:3.2.0')\\\n",
    "        .config('spark.jars.packages', 'com.amazonaws:aws-java-sdk:1.11.375')\\\n",
    "        .config(\"spark.executor.memory\", \"4096m\")\\\n",
    "        .config(\"spark.sql.execution.arrow.pyspark.enabled\", \"true\")\\\n",
    "        .config(\"spark.sql.execution.arrow.pyspark.fallback.enabled\", \"false\")\\\n",
    "        .config('spark.hadoop.fs.s3a.aws.credentials.provider', 'org.apache.hadoop.fs.s3a.SimpleAWSCredentialsProvider')\\\n",
    "        .config('spark.hadoop.fs.s3a.access.key', '79f100fb66c34d338833171110cb12fe')\\\n",
    "        .config('spark.hadoop.fs.s3a.secret.key', '--------------------------------')\\\n",
    "        .config('spark.hadoop.fs.s3a.endpoint', 'https://cloud-areapd.pd.infn.it:5210')\\\n",
    "        .config(\"spark.hadoop.fs.s3a.impl\", \"org.apache.hadoop.fs.s3a.S3AFileSystem\") \\\n",
    "        .config(\"spark.hadoop.fs.s3a.metadatastore.impl\", \"org.apache.hadoop.fs.s3a.s3guard.NullMetadataStore\") \\\n",
    "        .config(\"spark.hadoop.fs.s3a.path.style.access\", \"true\") \\\n",
    "        .config(\"spark.hadoop.fs.s3a.connection.ssl.enabled\",\"false\") \\\n",
    "        .config(\"com.amazonaws.sdk.disableCertChecking\",\"true\") \\\n",
    "        .getOrCreate()\n",
    "\n",
    "    sc = spark.sparkContext\n",
    "    sc.setLogLevel(\"ERROR\")\n",
    "    \n",
    "    return spark, sc\n",
    "\n",
    "ncores = 4\n",
    "# 4 cores\n",
    "spark, sc = initiate_session(ncores=ncores)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e17d0aba",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <div>\n",
       "                <p><b>SparkSession - in-memory</b></p>\n",
       "                \n",
       "        <div>\n",
       "            <p><b>SparkContext</b></p>\n",
       "\n",
       "            <p><a href=\"http://master:4040\">Spark UI</a></p>\n",
       "\n",
       "            <dl>\n",
       "              <dt>Version</dt>\n",
       "                <dd><code>v3.4.1</code></dd>\n",
       "              <dt>Master</dt>\n",
       "                <dd><code>spark://10.67.22.21:7077</code></dd>\n",
       "              <dt>AppName</dt>\n",
       "                <dd><code>k-meaner</code></dd>\n",
       "            </dl>\n",
       "        </div>\n",
       "        \n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "<pyspark.sql.session.SparkSession at 0x7f38e9ab3c40>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "spark"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "06982c79",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "        <div>\n",
       "            <p><b>SparkContext</b></p>\n",
       "\n",
       "            <p><a href=\"http://master:4040\">Spark UI</a></p>\n",
       "\n",
       "            <dl>\n",
       "              <dt>Version</dt>\n",
       "                <dd><code>v3.4.1</code></dd>\n",
       "              <dt>Master</dt>\n",
       "                <dd><code>spark://10.67.22.21:7077</code></dd>\n",
       "              <dt>AppName</dt>\n",
       "                <dd><code>k-meaner</code></dd>\n",
       "            </dl>\n",
       "        </div>\n",
       "        "
      ],
      "text/plain": [
       "<SparkContext master=spark://10.67.22.21:7077 appName=k-meaner>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sc"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6756273d",
   "metadata": {},
   "source": [
    "## DATASET"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "db52a964",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "root\n",
      " |-- duration: long (nullable = true)\n",
      " |-- protocol_type: binary (nullable = true)\n",
      " |-- service: binary (nullable = true)\n",
      " |-- flag: binary (nullable = true)\n",
      " |-- src_bytes: long (nullable = true)\n",
      " |-- dst_bytes: long (nullable = true)\n",
      " |-- land: long (nullable = true)\n",
      " |-- wrong_fragment: long (nullable = true)\n",
      " |-- urgent: long (nullable = true)\n",
      " |-- hot: long (nullable = true)\n",
      " |-- num_failed_logins: long (nullable = true)\n",
      " |-- logged_in: long (nullable = true)\n",
      " |-- num_compromised: long (nullable = true)\n",
      " |-- root_shell: long (nullable = true)\n",
      " |-- su_attempted: long (nullable = true)\n",
      " |-- num_root: long (nullable = true)\n",
      " |-- num_file_creations: long (nullable = true)\n",
      " |-- num_shells: long (nullable = true)\n",
      " |-- num_access_files: long (nullable = true)\n",
      " |-- num_outbound_cmds: long (nullable = true)\n",
      " |-- is_host_login: long (nullable = true)\n",
      " |-- is_guest_login: long (nullable = true)\n",
      " |-- count: long (nullable = true)\n",
      " |-- srv_count: long (nullable = true)\n",
      " |-- serror_rate: double (nullable = true)\n",
      " |-- srv_serror_rate: double (nullable = true)\n",
      " |-- rerror_rate: double (nullable = true)\n",
      " |-- srv_rerror_rate: double (nullable = true)\n",
      " |-- same_srv_rate: double (nullable = true)\n",
      " |-- diff_srv_rate: double (nullable = true)\n",
      " |-- srv_diff_host_rate: double (nullable = true)\n",
      " |-- dst_host_count: long (nullable = true)\n",
      " |-- dst_host_srv_count: long (nullable = true)\n",
      " |-- dst_host_same_srv_rate: double (nullable = true)\n",
      " |-- dst_host_diff_srv_rate: double (nullable = true)\n",
      " |-- dst_host_same_src_port_rate: double (nullable = true)\n",
      " |-- dst_host_srv_diff_host_rate: double (nullable = true)\n",
      " |-- dst_host_serror_rate: double (nullable = true)\n",
      " |-- dst_host_srv_serror_rate: double (nullable = true)\n",
      " |-- dst_host_rerror_rate: double (nullable = true)\n",
      " |-- dst_host_srv_rerror_rate: double (nullable = true)\n",
      " |-- labels: binary (nullable = true)\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Fetch the KDD Cup 99 dataset\n",
    "kdd_data = fetch_kddcup99(as_frame=True)[\"frame\"]\n",
    "\n",
    "# Create a PySpark DataFrame from the sampled Pandas DataFrame\n",
    "kdd = spark.createDataFrame(kdd_data)\n",
    "\n",
    "# Print the schema of the PySpark DataFrame\n",
    "kdd.printSchema()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "5f717f9e",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    }
   ],
   "source": [
    "# separate labels\n",
    "labels = kdd.select(\"labels\")\n",
    "\n",
    "#drop cathegorical columns\n",
    "categorical_columns = ['protocol_type', 'service', 'flag', 'labels']\n",
    "kdd = kdd.drop(*categorical_columns)\n",
    "\n",
    "kdd.createOrReplaceTempView(\"kdd_table\")\n",
    "\n",
    "for coll in kdd.columns:\n",
    "    if spark.sql(\"SELECT VARIANCE(\" + coll + \") FROM kdd_table\").collect()[0][0] == 0:\n",
    "        kdd = kdd.drop(coll)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "388fca28",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    }
   ],
   "source": [
    "for col_name in kdd.columns:\n",
    "    avg_val = kdd.agg({col_name: 'avg'}).collect()[0][0]\n",
    "    std_val = kdd.agg({col_name: 'stddev'}).collect()[0][0]\n",
    "    kdd = kdd.withColumn(col_name, (kdd[col_name] - avg_val) / (std_val))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "45ba1d09",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Unique labels: ['smurf', 'pod', 'guess_passwd', 'teardrop', 'normal', 'land', 'ftp_write', 'back', 'nmap', 'ipsweep', 'multihop', 'neptune', 'warezmaster', 'imap', 'satan', 'phf', 'portsweep', 'loadmodule', 'buffer_overflow', 'perl', 'rootkit', 'warezclient', 'spy']\n",
      "\n",
      "Total amount of labels: 23\n"
     ]
    }
   ],
   "source": [
    "unique_labels = labels.distinct().rdd.flatMap(lambda x: x).collect()\n",
    "\n",
    "unique_labels = [item.decode('utf-8').rstrip('.') for item in unique_labels]\n",
    "\n",
    "print(f\"Unique labels: {unique_labels}\\n\\nTotal amount of labels: {len(unique_labels)}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "bad94dd5",
   "metadata": {},
   "outputs": [],
   "source": [
    "attacks = unique_labels\n",
    "\n",
    "# List of columns to be ignored\n",
    "\n",
    "ignored_cols = [\"labels\", \"centr\", \"cost\", \"w\"]\n",
    "\n",
    "ncols = len([c for c in kdd.columns if c not in ignored_cols]) #n° of columns ccontaining the actual data\n",
    "\n",
    "#kdd.printSchema()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "500e690c",
   "metadata": {},
   "outputs": [],
   "source": [
    "#%%writefile kmeans_random.py\n",
    "\n",
    "# Function to calculate Euclidean distance between two points x and y\n",
    "def euclidean_distance(x, y):\n",
    "    return np.linalg.norm(np.array(x) - np.array(y))\n",
    "\n",
    "# Function to find the index of the minimum value in a list x\n",
    "def argmin(x):\n",
    "    return x.index(min(x))\n",
    "\n",
    "# Function to initialize K-Means with random centers\n",
    "def random_choice_init(data, k):\n",
    "    # Select relevant columns and take k random samples\n",
    "    three_dim_array = np.array(data.select(array([c for c in data.columns if c not in ignored_cols])).rdd.takeSample(False, k))\n",
    "    final = three_dim_array.reshape(three_dim_array.shape[0], -1)\n",
    "    return final\n",
    "\n",
    "# Main K-Means function\n",
    "def kmeans(data, centers, max_iter=100, perc=0.999999, return_cost=False):\n",
    "    count = 0\n",
    "\n",
    "    # Get column names\n",
    "    cols = data.columns\n",
    "\n",
    "    # Initialize cost history \n",
    "    cost = [float(\"inf\")]\n",
    "\n",
    "    # Main K-Means loop\n",
    "    while count <= max_iter:\n",
    "        print(\"Iteration\", count)\n",
    "\n",
    "        # Define a UDF to find the index of the nearest center for each row\n",
    "        argmin_distance_udf = udf(lambda row: (argmin([euclidean_distance(row, c) for c in centers])), IntegerType())\n",
    "\n",
    "        # Calculate the \"centr\" column based on the nearest center\n",
    "        data = data.withColumn(\"centr\", argmin_distance_udf(array([c for c in cols if c not in ignored_cols])))\n",
    "\n",
    "        # Update the centers based on the assigned clusters\n",
    "        \n",
    "        centers = np.array(data.groupBy(\"centr\").mean().select(*[col(\"avg(\"+c+\")\") for c in data.columns if c not in ignored_cols+['avg(centr)']]).collect())\n",
    "\n",
    "        # Calculate the cost value per element, then sum\n",
    "        get_cost = udf(lambda row: str(min([euclidean_distance(row, cen)**2 for cen in centers])))\n",
    "\n",
    "       \n",
    "        data = data.withColumn(\"cost\", get_cost(array([c for c in cols if c not in ignored_cols])).cast(\"double\"))\n",
    "\n",
    "        # Calculate the new cost and add it to the cost history\n",
    "        finalcost = data.select(\"cost\").groupBy().sum().collect()[0][0]\n",
    "        cost.append(finalcost)\n",
    "        \n",
    "        print(\"Cost function values\", cost[count])\n",
    "\n",
    "        # Increment the iteration count\n",
    "        count += 1\n",
    "\n",
    "        # Break if the cost change ratio is below the specified threshold\n",
    "        if cost[-1] / cost[-2] > perc:\n",
    "            break\n",
    "\n",
    "    # Return the result based on whether cost history is requested\n",
    "    if return_cost:\n",
    "        return data, centers, cost[1:]\n",
    "    else:\n",
    "        return data, centers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "7080d8c9",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    }
   ],
   "source": [
    "# save preprocessed data\n",
    "\n",
    "kdd = kdd.toPandas()\n",
    "kdd.to_csv(\"data.csv\", index=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "e9bc2f58",
   "metadata": {},
   "outputs": [],
   "source": [
    "# load data\n",
    "kdd = spark.createDataFrame(pd.read_csv(\"./data.csv\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "70ff55e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "def avg_cost_time_results(k, data, partitions, iterations, func, L=None):\n",
    "    \n",
    "    total_cost_history = np.zeros(len(partitions))\n",
    "    total_time = np.zeros(len(partitions))\n",
    "    \n",
    "    for part in partitions:\n",
    "        part_cost = np.zeros(iterations)\n",
    "        part_time = np.zeros(iterations)\n",
    "        for i in range(iterations):\n",
    "            start_time = time.time()\n",
    "            data = data.repartition(int(part))\n",
    "            data = data.persist()\n",
    "            r_centr = func(data, k, L)\n",
    "            result, final_centroids, cost_history = kmeans(data, r_centr, max_iter=15, return_cost=True)\n",
    "            part_cost[i] = cost_history[-1]\n",
    "            elapsed_time = time.time() - start_time\n",
    "            part_time[i] = elapsed_time\n",
    "#            total_cost_history[np.where(partition==part), i] = cost_history[-1]\n",
    "#            total_time[np.where(partition==part), i] = elapsed_time\n",
    "        total_cost_history[np.where(partitions==part)] = np.mean(part_cost)\n",
    "        total_time[np.where(partitions==part)] = np.mean(part_time)\n",
    "    \n",
    "    return total_cost_history, total_time\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1abe0d18",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "ncores = 4\n",
    "\n",
    "data = spark.createDataFrame(pd.read_csv(\"./data.csv\"))\n",
    "k = 23 # length of unique labels\n",
    "partitions = np.array([8, 16, 32, 64])\n",
    "iterations = 5\n",
    "\n",
    "\n",
    "cost_results, time_results = avg_cost_time_results(k=k, data=data, partitions=partitions, iterations=iterations,\n",
    "                                                   func=random_choice_init)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6d408254",
   "metadata": {},
   "outputs": [],
   "source": [
    "np.savez('cost.npz', cost4=cost_results)\n",
    "np.savez('time.npz', time4=time_results)\n",
    "\n",
    "\n",
    "# Append array2 to the existing file\n",
    "#with np.load('cost.npz') as loaded_data:\n",
    "#    np.savez('cost.npz', **loaded_data, time4=time_results)\n",
    "\n",
    "#loaded_data = np.load('cost.npz')\n",
    "#loaded_array1 = loaded_data['cost4']\n",
    "#loaded_array2 = loaded_data['time4']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1a538b52",
   "metadata": {},
   "outputs": [],
   "source": [
    "ncores = 3\n",
    "# 3 cores\n",
    "spark, sc = initiate_session(ncores=ncores, spark=spark)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f2d91983",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "data = spark.createDataFrame(pd.read_csv(\"./data.csv\"))\n",
    "k = 23 # length of unique labels\n",
    "partitions = np.array([8, 16, 32, 64])\n",
    "iterations = 5\n",
    "\n",
    "cost_results, time_results = avg_cost_time_results(k=k, data=data, partitions=partitions, iterations=iterations,\n",
    "                                                   func=random_choice_init)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "c487f63a",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Append array2 to the existing file\n",
    "with np.load('cost.npz') as loaded_data:\n",
    "    np.savez('cost.npz', **loaded_data, cost3=cost_results)\n",
    "\n",
    "with np.load('time.npz') as loaded_data:\n",
    "    np.savez('time.npz', **loaded_data, time3=time_results)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8ed52a52",
   "metadata": {},
   "outputs": [],
   "source": [
    "ncores = 2\n",
    "# 3 cores\n",
    "spark, sc = initiate_session(ncores=ncores, spark=spark)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5eed2cc3",
   "metadata": {},
   "outputs": [],
   "source": [
    "data = spark.createDataFrame(pd.read_csv(\"./data.csv\"))\n",
    "k = 23 # length of unique labels\n",
    "partitions = np.array([8, 16, 32, 64])\n",
    "iterations = 5\n",
    "\n",
    "cost_results, time_results = avg_cost_time_results(k=k, data=data, partitions=partitions, iterations=iterations,\n",
    "                                                   func=random_choice_init)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "4faf0c06",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Append array2 to the existing file\n",
    "with np.load('cost.npz') as loaded_data:\n",
    "    np.savez('cost.npz', **loaded_data, cost2=cost_results)\n",
    "\n",
    "with np.load('time.npz') as loaded_data:\n",
    "    np.savez('time.npz', **loaded_data, time2=time_results)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "35050ec3",
   "metadata": {},
   "outputs": [],
   "source": [
    "ncores = 1\n",
    "# 3 cores\n",
    "spark, sc = initiate_session(ncores=ncores, spark=spark)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "31ac8a02",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8852765.51114059\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8051770.420248535\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7728378.385164204\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7655401.37527626\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7578135.777073393\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7482504.336871442\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7421170.664005191\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
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     "text": [
      "Cost function values 7303701.911664523\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
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     "text": [
      "Cost function values 7248045.007179875\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
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     "text": [
      "Cost function values 7245468.745813918\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
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      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7243804.341141334\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7243620.3077525245\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7243603.898861021\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9310861.598253231\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8635757.616875\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8560779.182713326\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8517788.521087594\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8494448.086682623\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8479083.853396175\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8474390.95637951\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8472912.412217831\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8470185.512934027\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8421990.70519318\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8331351.048077358\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8261356.812511476\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8171903.226394027\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8078439.037746272\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8075833.068918397\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 11136683.767467948\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9842836.212242952\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9648747.98923167\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9206240.363655498\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9131618.456480607\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9073940.234067991\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8944804.736969175\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8905744.39534732\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8893259.592529366\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8886594.410807353\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8884910.156202719\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8884649.659357294\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8884597.786873244\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8884575.562758692\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "[Stage 656:==============>                                          (2 + 6) / 8]\r",
      "\r",
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     "text": [
      "Iteration 0\n"
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     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "output_type": "stream",
     "text": [
      "Cost function values 9614970.164399896\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "output_type": "stream",
     "text": [
      "Cost function values 9342683.304512845\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
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     "text": [
      "Cost function values 9193548.176721537\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8919109.98213686\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8825302.893116675\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8788469.937349472\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8784432.106927508\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8780671.767282309\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8777733.95675617\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8774624.281962689\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
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     "text": [
      "Cost function values 8766023.408918753\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8753118.865704924\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
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     "text": [
      "Cost function values 8720897.258794142\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
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     "text": [
      "Cost function values 8712484.208832882\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8697447.822789228\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 11365187.930307984\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
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     "text": [
      "Cost function values 11160825.008300103\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 10699686.951265847\n",
      "Iteration 4\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
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     "text": [
      "Cost function values 9636397.374012034\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9471910.654979423\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9365959.135031642\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9301608.699794577\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9300487.662366483\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9300038.049551288\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9299636.103359351\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
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      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9299413.715983996\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9299327.141139908\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9390154.078214562\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8706379.043661924\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8476042.332382137\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8208263.360318268\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8200192.485503906\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8196433.805324587\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8192369.449059696\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8184151.287779292\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8171353.202150514\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8138904.999796278\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8128217.646196809\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8113833.892537996\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8113377.003772405\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8113357.573553862\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9161648.420519589\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8903333.555205204\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8872707.520002315\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8751335.226592796\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8491278.06667723\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8292097.311843711\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8063570.969457037\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8003116.297133836\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7954130.446556855\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7874343.346885206\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7746942.2790050665\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7664763.955641927\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7559282.5871050535\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7467240.458446036\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7464091.408374708\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8954328.295880975\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8761118.306679774\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8747388.624692257\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8741704.044743005\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8735621.20470346\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8729840.313747682\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8723561.837209566\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8701186.671505006\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8674764.452995654\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8625656.922867607\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8425967.33963139\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8173591.203461241\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7773909.481131228\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7213783.959517535\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7163131.987576251\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9176785.431199769\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9020905.380956816\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8827618.141883297\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8511940.365456361\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8502958.678048708\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8499635.675568847\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8497341.755437113\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8490145.609381175\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8478221.35788415\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
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     "text": [
      "Cost function values 8440876.411556244\n",
      "Iteration 11\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
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     "text": [
      "Cost function values 8427931.270634906\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8418447.358316494\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8417933.007203259\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8417879.93593661\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8417863.131849604\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9985999.792842578\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9677681.903402349\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9354576.202171022\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9030310.066516677\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8976021.128732685\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8964218.659834601\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8957118.950847646\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8954670.543112054\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8953305.707200903\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8950520.837320507\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8927261.889093908\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8807814.374816686\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8742717.76687203\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8739515.605024423\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9592882.133720305\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9298153.566821849\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9141842.706148455\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9019623.464143349\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8947283.485386832\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8933828.026995972\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8931478.799676245\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8928100.241887031\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8896440.397076832\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8845929.670679536\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8843997.088486712\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8843648.920394013\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8843626.227893963\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 10003602.638495836\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9765217.388853347\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9703595.100251501\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9577545.722632805\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9288488.643264217\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8990283.915449306\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8830843.079991369\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8717680.262463905\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8714214.835086644\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8713670.475802839\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8713220.88137283\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8713014.427642576\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8712928.645935599\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9481872.580279224\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9263349.012111306\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9051344.38771184\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9024059.348493794\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8998299.275880372\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8936109.064693661\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8934312.72164412\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8933810.221318604\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8933677.493710773\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8933640.201293219\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8933596.12703806\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8925831.452345535\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8701784.087636514\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8304684.32714599\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8304452.941856056\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9654436.670585668\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9121972.207116177\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9100049.053180043\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9085985.160746524\n",
      "Iteration 5\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8699506.724331744\n",
      "Iteration 6\n"
     ]
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     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8592673.254035296\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Iteration 0\n"
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     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 10031164.160861613\n",
      "Iteration 2\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9725820.735633649\n",
      "Iteration 3\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9422784.749632511\n",
      "Iteration 4\n"
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9359811.03613976\n",
      "Iteration 5\n"
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9349110.472310254\n",
      "Iteration 6\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9326126.89229588\n",
      "Iteration 7\n"
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9271531.171244524\n",
      "Iteration 8\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9183483.874269586\n",
      "Iteration 9\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9084908.68510615\n",
      "Iteration 10\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9026873.272550818\n",
      "Iteration 11\n"
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8936169.752971912\n",
      "Iteration 12\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8841076.793576857\n",
      "Iteration 13\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8833523.35943857\n",
      "Iteration 14\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8825906.247675354\n",
      "Iteration 15\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8813734.231297059\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Iteration 0\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9935499.47280436\n",
      "Iteration 2\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9291899.616785996\n",
      "Iteration 3\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9101744.026027532\n",
      "Iteration 4\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9045682.441496488\n",
      "Iteration 5\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8998439.188880432\n",
      "Iteration 6\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8931699.65635942\n",
      "Iteration 7\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8907496.685340162\n",
      "Iteration 8\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8898573.282245476\n",
      "Iteration 9\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8897471.44235125\n",
      "Iteration 10\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8893947.073353924\n",
      "Iteration 11\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8880125.871073183\n",
      "Iteration 12\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8867128.343367573\n",
      "Iteration 13\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8853622.581893781\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8827795.53826514\n",
      "Iteration 15\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8814872.076605566\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "output_type": "stream",
     "text": [
      "Cost function values 11628748.580616154\n",
      "Iteration 2\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "output_type": "stream",
     "text": [
      "Cost function values 10903418.3263459\n",
      "Iteration 3\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9980864.821689587\n",
      "Iteration 4\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9377230.113768017\n",
      "Iteration 5\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9306160.510935552\n",
      "Iteration 6\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9293237.994533313\n",
      "Iteration 7\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9278230.073437897\n",
      "Iteration 8\n"
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     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9263113.276515463\n",
      "Iteration 9\n"
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9257251.521429386\n",
      "Iteration 10\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9238137.155434998\n",
      "Iteration 11\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9225350.214903576\n",
      "Iteration 12\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9221393.902706115\n",
      "Iteration 13\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9214788.940827044\n",
      "Iteration 14\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9207708.033940116\n",
      "Iteration 15\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9206817.215578869\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Iteration 0\n"
     ]
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     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 10046891.251553018\n",
      "Iteration 2\n"
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9724271.81770206\n",
      "Iteration 3\n"
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9615467.204080598\n",
      "Iteration 4\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9573068.789063945\n",
      "Iteration 5\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9390897.49221953\n",
      "Iteration 6\n"
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9277790.507897448\n",
      "Iteration 7\n"
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9215294.365739794\n",
      "Iteration 8\n"
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     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9199846.809751585\n",
      "Iteration 9\n"
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     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9197649.731873304\n",
      "Iteration 10\n"
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     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9197515.853465598\n",
      "Iteration 11\n"
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     "text": [
      "                                                                                \r"
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      "Cost function values 9197506.065217286\n"
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     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Iteration 0\n"
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     "text": [
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     "text": [
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      "Iteration 1\n"
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     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 9489764.218646219\n",
      "Iteration 2\n"
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     "text": [
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8983055.855834823\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8781985.07747746\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8238128.0517373765\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8233892.146591223\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8225533.026504147\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8225005.134772975\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8223736.722249256\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8205321.609676299\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8146674.236696805\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8144869.94587479\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8144544.552492385\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8144478.106447594\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8144467.902139473\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9715512.65804205\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9110596.275413642\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8946893.111710928\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8911781.867410908\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8907262.16391623\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8864938.185998801\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8837966.697420698\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8711601.811302966\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8573372.537904216\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8510576.939071888\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8386112.6987533495\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8364297.929355703\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8363377.985922361\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8362622.257294303\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Stage 14445:====================================================>(63 + 1) / 64]\r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8361280.07299366\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "                                                                                \r"
     ]
    }
   ],
   "source": [
    "data = spark.createDataFrame(pd.read_csv(\"./data.csv\"))\n",
    "k = 23 # length of unique labels\n",
    "partitions = np.array([8, 16, 32, 64])\n",
    "iterations = 5\n",
    "\n",
    "cost_results, time_results = avg_cost_time_results(k=k, data=data, partitions=partitions, iterations=iterations,\n",
    "                                                   func=random_choice_init)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "900da59b",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Append array2 to the existing file\n",
    "with np.load('cost.npz') as loaded_data:\n",
    "    np.savez('cost.npz', **loaded_data, cost1=cost_results)\n",
    "\n",
    "with np.load('time.npz') as loaded_data:\n",
    "    np.savez('time.npz', **loaded_data, time1=time_results)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "a1deb891",
   "metadata": {},
   "outputs": [],
   "source": [
    "cost_data = np.load('cost.npz')\n",
    "time_data = np.load('time.npz')\n",
    "\n",
    "cost4 = cost_data['cost4']\n",
    "cost3 = cost_data['cost3']\n",
    "cost2 = cost_data['cost2']\n",
    "cost1 = cost_data['cost1']\n",
    "time4 = time_data['time4']\n",
    "time3 = time_data['time3']\n",
    "time2 = time_data['time2']\n",
    "time1 = time_data['time1']\n",
    "\n",
    "cost_matrix = np.column_stack((cost1, cost2, cost3, cost4))\n",
    "time_matrix = np.column_stack((time1, time2, time3, time4))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "e27011c5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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JcttVwF+AR0IIFwNzgVMBYowTQwiPAJOAIuDyGGPxjk5g0VaSJEmSJEmSyinGOJbtz7x7yHYe80fgj+U9h9MjSJIkSZIkSVIasWgrSZIkSZIkSWnE6REkSZKqCxcDkyRJUk1g3munrSRJkiRJkiSlE4u2kiRJkiRJkpRGnB5BkiSpuvAqMUmSJNUE5r122kqSJEmSJElSOrHTVpIkqZqIqQ5AkiRJqgLmvXbaSpIkSZIkSVJasWgrSZIkSZIkSWnE6REkSZKqi+CKDJIkSaoBzHvttJUkSZIkSZKkdGKnrSRJUnVhw4EkSZJqAvNeO20lSZIkSZIkKZ1YtJUkSZIkSZKkNOL0CJIkSdWFCzJIkiSpJjDvtdNWkiRJkiRJktKJnbaSJEnVREx1AJIkSVIVMO+101aSJEmSJEmS0opFW0mSJEmSJElKI06PIEmSVF24HoMkSZJqAvNeO20lSZIkSZIkKZ3YaStJklRdBFsOJEmSVAOY91q0TYWLDtiL0wbtQQSmLlrGz/43io1FxQBcMnRvrjruIPb67T9Ztb6Avu1a8qdTDgcSP683v/wOL38+HYBj+nXn8kMGk5EReH3yTK57/i0ALj5wL04b1Jfi4hJWrlvPzx95iYWr1gBw0t69+f4hgwG49bX3eOLDiZvFdvUJwzhlYB/2+PUtVfFSaBtO6rsnR/bqAzEya+UKrh/9MoM7dubcgYNp37gJP3jsIaYtW1o6/owBAzmiZ29KSkq4beybfDRvDgBZGRl8/4CD6dumLTFG7nn/HcbOnM7J/fbkyJ59KI4l5BUUcMPoV1i6Nh+AS/bdn306dCIjBMbPm8NtY98EoGWDXK46/Gga1K7NtOXL+OuroygqKan6F6eGO/vMAzj5xEGEEHj8yfd44MEx5ObW4fq/nEfr1o1ZuHAVP/3F/azJL2DfQbvzox8eTXZWFpuKirjh78/xwbjE745ePdvyh9+dQe2cbMaMncxf/vYUAK1aNebaq0+nSeN65OWt51f/9yBLluYB8K9bL6XvHh34+JNZfP+Ku0pj2mdgV6780XFkZ2cyafJ8rr72EYqL/dlIhfOGDOCUvZLvLUuW8+snRvGdoYMY1rMrMUZWrFvPVY+PYln+OgB2b9GM3w0/jPq1a1ESI6fd/l82FhVzxaH7cfyevWmYU5u9f/+Pzc5xZJ/duXzYEGKMfLF4GT9/9AVaN2rAzWcOJzMjkJWRwX/f+5j/jfsUgDaNc7nhtGNpWCeHSYuW8svHXmCTPx+SduD7+x3K3u06kbdhPVc89d/N9g3vM4ALBx7AuQ/+m/zCDTSv34B/nHgeC/NWATBl2WJuf3d0KsJWFbl44KH0b9WJNYXr+fVLiZ+Pk/oMZkDrLpTESH7heu744BVWb1hHZsjgooGH0KFRczIzMnh79mSe++LDFD8DVZbrvnMswwZ0ZcWadRz5szsA6NmhBX+85ChqZ2dRVFzCb+8exYQZCxm+X29GHLdv6WN7tG/Osb+6i8lzlqQqfFWyp28fzdSP51Avtw7f+9sZAEx8bzpvPjaOZQtXcenvT6F1l+YALJi+hGfvfCPxwAhDTxlIz4GdUxS5ajqLtlWsRW59zj9gAIf/9R4Ki4r4x7nHcVz/Hjz+4URaNWzA/rt3YEGywAowdfFyht/8H4pLIrs1qMfzV57Pa5Nm0CCnNr86dijH//0/rFxXwN/OOIohXdvzzvS5TFywlOF//w8bNhVx9r79+OUxB/LDB56jYZ0cfnjYvgz/+wNEIs/86FxenTidNQWFAOzRtgW5dWqn6qUR0LRePU7o259LHrqfjcXF/Prwozmoa3e+WLqIa0c9xxVDD9lsfPvGTRjadXdGPPQfmtarx1+OP4mLHryPkhg5c699WF2wnosevI8ANMjJAWD6smV8f+JDFBYVcWzvvlwy5AD+9PIL9GrZit4tW3PZ/x4A4MYTT6Nv67Z8unA+F++7P09MGM8b06fyw6HDOLJnH56b+GlVvzw1WtcuLTn5xEGcdd7NbNpUzO23XspbYyZz8kmDef+Dadx172guvmAYF184jJtueZ5Vq9fx/SvuZtnyNXTt0pLb/zmCQ4+8FoD/+9XJXPPHR5nw6Rz+9Y9L2H9ID8a+8wU//dFxPPvchzzz3IfsM7ArV/zgaK76zUMA3Hv/G+TkZHPqyV8luCEE/njNmVxy2b+YM3c5l192BMcfuzdPPv1BSl6jmqx5g/qcs+8Ajrv5XgqLirjx9GM5eo8e3D32Q/7x2jsAnDN4T7538L5c88yrZGYErjv1aH752ItMWbyMhnVyKEoWU1//Yib/fe8TRv34os3O0aFpIy49cBBnj3yINRsKaVKvDgDL8tdx1siH2FRcTN1a2Tz9g/MZ/cUMluWv48rDD+S+dz7ixc+mcPXxh3LSXnvwvw8mVO2LI6laGT19Ei98MYErDjh8s+3N6tWnf+v2LF27ZrPti/NX8+NnHqzKEJVCY2dN4tVpExgx6Kufjxe+GM8Tn78HwGHd+jG89yDu+2g0A9t1Iysjk/97+b/UysziT0eey3tzp7B8fX6qwlclevzNCdz/0ofccPlxpdt+dfYwbn58DG9+MoOD+nfhl2cP48xrH+Dptyfy9NuJ5qXu7XZj5E9PtWC7i+s/tAf7HLEHT972Wum25u2acNpPjuS5O9/cbGzzdk0Y8cdTycjMIH/VOm7/5SN0H9CRjExnF1XV86cuBTIzAjnZWWRmBOpkZ7FkzVoA/m/4wfzlubeIMZaO3bCpiOKSxPe1s7Mgua9900bMWraKlesKAHh76hyO7Ls7AO/NmMeGTUUAfDxnES0bNgDgwO4dGTt1DnkFG1hTUMjYqXMY2r0TABkh8Mtjh/KX596qgldAO5KZkUHtrCwyQqB2VhYr169l3qpVzF+9aquxQzp14c3pU9lUUszi/DUszMuje/OWABzZszcPjx8HQATWbNgAwISF8yksSvx8TF6yiN3q1U+MiVArM5OsjAyyk19XFSQ68vq3acdbM6YB8MoXkxnSqUulvgbaWudOzfn0s7ls2LCJ4uISPvxoBocM24ODh/bm6ecS/85PPzeOgw/qA8AXUxawbHniD9vpMxZTu1YW2dmZNGvWgPr1cpjwaaIj+5nnPmLYwYnHdO7cgvc/SPw7fzBuOgcP7VN6/vc/mMa6dYWbxdSoYV02bipiztzlALz7/lQOO6RvJb4K2pHMjIzS95ac7CyW5q9lXeHG0v11amWXvr/s17UjUxcvY8riZQDkFWygJLnv0/mLWL523VbHP2Xvvjz4/ies2ZD4Ofjy/WdTcQmbihNXi2RnZpJR5jKmQZ3b8/LEqQA89fFEDunZtaKftqRdzKQlC1lbuGGr7RftcyD3jRubSGpUY01ZvpB1Gzf/+dhQ9NV7Xe3M7NK/l4iR2lnZZIRAdmYWxSXFFJQZq13LB1/MY3UyN/lSjJH6dWoB0KBubZas2rpgf9x+vXn2nUlVEqNSp0PP1tSpv3mD2m5tmtCsdeOtxmbXzi4t0BZtKnYtLKVUlXbahhAygO8BvYEXY4zPhBCuA44CPgF+EmNcXpUxVbUla9Zy5xsfMvb/RrBhUxFjp85m7NQ5HNKrC4vz8vli0bKtHtOvfUuuO+1I2jTO5cqHXqC4JDJ7+So6N29Cm8a5LM7L5/A+XcnOytzqsacN2oM3v5gFQIuG9Vm0+qs3qsV5+bRomCjYnbffnrw2cUbpZbNKjRXr1vHoJx/xwHkXU1hUxPh5c/lo3tztjm9arx5fLFlc+v3ydfk0q1ePerUSb0jn7zOEvm3asihvNbeOeYPVBes3e/yRPXszbu5sIFHA/WThfB6+YAQBePrzCcxbtYrcnBzWbiwsLeh8eQ5VrWkzFvODy4+mYcO6FBZu4oD9ezJx0nyaNm3A8uWJ/9fLl+fTtEn9rR572CF9+WLKAjZtKqb5bg1ZsnR16b4lS1fTvHlDAKZOXcihh/Tlvw+N4ZBhe1C/fg4NG9YlL2/9VscEWLV6HVlZGfTq2ZZJk+dz2CF9admiUYU/d+3c0vy13DN2HK/99FI2FBXxzvQ5vDM9UZj/crqDtRsKueCuRwDo0LQxERh5/sk0qVeHFz6dwt1jx+3wHB2bJpLaBy49g8yMwD9Hv8vYabMBaNmwAf8690TaN2nE9S+9xbL8dTSqW4f8DRtKP3hcsmYtLXK3/vmUdlXmvRVnYLtOrFi/ltmrtn65WtRvyI3Hn8n6TRt5cPy7TFqyMAURKtVO7rMv+3XsScGmQv7yxhMAjJs/nT3bdObm4y6hdlY2D37yFus2Fu7kSNqVXHvfK9x31Zlcdc6hZITAKb+9d6sxx+7bixF/e7Tqg1Namz99Cc/cPprVy/M58fJD7bJVylT1T97NwAggH/hjCOFuoDvwG6A+8M8dPTiEMCKE8GEI4cM1n75X6cFWhtw6tTm0T1eG/ukO9r32durUyubEvXpx+aGD+ftLb2/zMRPmLubI6+/lhJsf4LvDBlErK5M1BYX85olX+Me5x/G/753J/FVrSi9t/dLwAT3Zo20L7ngj8Yd42MYkzhFonluPo/vtzn1vj6/w56uvp37t2gzp2IXz/nMPZ953JzlZ2Ryye4/tjg/b+Nwvkujm3q1+AyYuXsjljz7I5CWLGDHkgM3GHbJ7D3bfrQWPfvwRAK1zG9K+cRPOuu9OzrzvTvq3accerdps9xyqWrNmLeXue0cz8rbvcPutlzJl6kKKk92NO9Klcwt+/MNjuOaPjwHb+T2QLMhff9Oz7L1XZx558CfsPaAzS5as3un8tD//1QP8/KfDefD+K1i/vnCr30OqGrk5tRnWsyuH3XAnB133b+pkZ3Ncv54A3Pzq2xzyt5E8N2EyZw/eE0jMeT2gQxt+/ugLnHPHwxzaqyuDO7ff4TkyMwIdmjbigrse4aePPM+1JxxOg5zEB0SL8/I58db7OfKmuxi+Zy+a1qu7za6EsleS6JuJIaT0pq+lwvLe2W+8U+nBpqtamVmc2m8fHhq/de6/cv16Ln30bn7yzEPc88EYfjL0SOpk10pBlEq1xz9/l588dzfvzpnCoV37AdC5SQtKYuRHz97Flc/fw5G7D2C3erkpjlRV6ZzD9uIP97/Cfpf/gz/c/wp/+c6xm+3v37U1BYWbmDp/68Yp1Wxtu7bge9efyaV/PIWxT4+naGNRqkOqkcx7q75oezJwaIzx58CRwPnAhTHGp4GLgIN39OAY48gY494xxr1z+w6u/GgrwX7dOjB/RR4r1xVQVFLCS59N45SBfWjbpCHP/+R83rrqUlo2bMCzPz6XZg3qbvbYGUtXsn7jJrq3bAbA6EkzOemW/3LKrQ8yc+lKZi9fVeY87bn8kMGMuOcpNiYLO4tX59OqUYPSMS0bNmBp3lp6t2lBh6aNef2Xl/DWVZdSJzub0b+8uApeDW1pz7btWZyfR96GAopLShg7azq9Wrba7vjl69ayW/2v/k2b1WvAinXrWLNhAxs2beLtmYmFp96aMY2uuzUvc552nLnXPlz94jNsKkn8fOzXuStfLF7EhqJNbCjaxLi5s+nRoiV5GwqoX6t26SXPX55DVe/Jpz/g9LNv4oJLbiNvzXrmzF3OihX5NGuW+Blo1qwBK1auLR3fonlD/n7DhVz124eYP38FkOisbdG8UZkxjVi2LDGNwrLla/jxT+/jtLNu5JZ/vgjA2rVbX6Ja1oRP53DBxf/krPNu5sPxM5k716Q3Ffbt0oEFq/JYtT7x3vLKpGn0b996szHPfzqZw3p3A2DxmnzGzZrH6vUFbNhUxFtTZ9GrdfNtHbrUkjVrGT15BkUlJSxYtYbZy1fSoWmjzcYsy1/HjKUr2KtjG1atL6BBTg6ZGYnfHS1y67PUqzlUs1RY3tvxoCGVH22aapXbkOb1c/n78LMZecqFNK1XnxuPP4tGdepSVFJMfnIqhRkrlrJ4TR6tcxulNmCl1Ltzp7B328Q0XoM7dOezxXMojiXkFxYwbcVCOjVukeIIVZVOGroHoz6YAsDz702mX5fNc6Njh/Ti2XcmbuuhEpCYQqFW7SyWzluZ6lBUQ1V10TYH+LKyuBIoAb6sMORTAxZGW7h6Df07tCInO/FUh3TrwEufTWOf393GgX+6gwP/dAeL8/I57qb/sDx/PW2bNCz9g7d141w679aE+SsTBZam9RNF3dw6tTlnSH8eef8zAHq1bs4fTj6cEfc8yYq1X13W/NaU2RzQvSO5dWqTW6c2B3TvyFtTZvP65JkMuvZfpecv2LSJYX+5C1W9Zfn59GjRitpZiZ+PPdu0Y+6q7b9BvDtrBkO77k52RiYtG+TSpmEjpixNTJfw3uyZ9GvTFoD+bdozd2WiaNel2W5cMfQQfvvCM6wu+Grep6Vr89mjdVsyQiAzI4O+rdswL3nuCQvmcWCXRLHnsB49eXfWjIp/8tqpJo0Tl5a3bNmIQw/uy4ujPuaNtyYy/NiBAAw/diCvv5lIPBvUz+Gft1zCzf94nk8mzC49xvLl+axbv4G+eyS6Ko8/di9ef+NzABo1qlfaiXvJRYeUa0GxL2PKzs7koguG8cjj71bMk9XXsihvDf3afvXeMrhLe2Yu27yoenCPrsxclvg//fa02XRvuVvpHLgDO7Vl+tIVOzzHa5Ons0/ndgA0qluHDs2aMG9lHi1y65f+zsrNqc2e7VszK/kh4gez5nJ478R86yfs2ZvRk6dX6POW0lyNz3srwpxVK7jg4TsY8dg9jHjsHlasW8tPnnmQ1QXrya1dp/RD5Rb1c2mV24gl+XkpjlhVrUX9RqX392zdmUVrEv/tVqzPp1fzxPtWrcwsujRpyaL8rdeI0K5r6aq1DOqVyHmH9OnI7MVf/V0VAhw9qKfz2Worq5auoSR59eDqZfksX7iaRrs12MmjpMpR1cniu8C/QwiPAGcCE4ArQwj/BL6b/H6XNmHuYkZ9OpVnf3wuRSWRSQuW8PB7n253/N4d23DZsBMpKi6hJEZ++8SrrFqfKLT9dvjB9Eh2Rv3jlXdK/0j+1bFDqVc7m1vPPR5IFIpH3PMUeQUbuPWVd3nqinOSj3mXvIIdd9Gpan2xdDFjZkzjtlPPorikhOnLl/HCxM/Zr1MXvnfAQTSsU4c/HDOcGcuXc9VzTzJn1UremjGVO848l+KSEm4d83rp3LN3vjuWXxx6BJftX5u8ggKuH/0KAJfuewB1srP5zRHHALA0fw1Xv/gsY2ZMo3+bdow841xijHw4dw7vzUnMh3zne2O56rCjOX/QEGYsW8qoyX4inQo3Xn8+jRrWpaiohD9e9wRr8gu4657RXH/deZx4wj4sWryaK39+HwBnnr4/7do15TuXHsZ3Lj0MgO98byQrV63l9396nD9ccwY5tbMZ+84XjHn7CwAG7tWFK35wNDHCR+Nn8se/PF567nvvupxOHZtTt05tXn3xN/z22kd4590pXHD+QQw9oBchBB557B0+GGdRLhU+nb+YlydO47HvJX4XTF60lEfGfcrfTjuaTs2aUBIjC1ev4ZqnXwVgzYZC7nv7Ix657Gwi8NbUWbw1NfH//cojDuSYvj3Iyc5m9M9G8PhHn5XOXzukawee/eEFFJeUcP2oN8kr2ECv1h34+VFDiTESQuCesR8ybUli3skbXhrD9acfwxWH7sfkRUt5/KPPU/US7TrS40otlU+Nz3u/iZ8MPZI+LduSm5PDnaddxMMfv8+r07add/Ru2YYz9xxMcUzkybe/O5q1zlm6S/vu4CPpsVtb6tfO4aZjL+LJie/Tt1VHWjVoRIywfP0a7vtoNACvTf+USwYexp+OSPztM2b2JOblOY30rurmH5zA4F4daNygDu/88wf8/bG3+NXI5/nt+YeTlZlB4aYirrrjhdLx+/Rsz+KV+cwrs9aDdl2P3/IysycvZH3+Bm68/D4OOmUgdern8OK9Y1i/poAH//o8LTs245xfHcfcKYt4++nxZGRlEELgmIsOpG5unVQ/hZrJvJdQlfPLhRA6ALcBnYC/A28BLwFtgVnASTHG7Vcwy+j80+udGE/b1bWzzSvatkV3zkt1CEpjxUe33vkg1UiT/nBlWqSN3Y++OqX5z5QXrkmL16E6qMi894R7bjbv1TY1dG1Y7cBbT6zd+SDVSH/8uYvDavvOGnBFWuR75r1V3GkbY5wDHFN2WwihI9Akxrjj6zIlSZKkasK8V5IkSd9GytsRY6LV18RVkiRJuzTzXkmSJJVXVS9EJkmSJEmSJEnagZR32kqSJKl8Ykj51FqSJElSpTPvtdNWkiRJkiRJktKKRVtJkqTqIqT4Vp4QQ/hxCGFiCOHzEMJDIYScLfY3DCE8G0KYkBx34Td6LSRJkrTrqgZ5b2WzaCtJkqQKEUJoA/wQ2DvG2AfIBM7YYtjlwKQYYz/gIOCGEEKtKg1UkiRJSnMWbSVJklSRsoA6IYQsoC6wcIv9EWgQQghAfWAlUFS1IUqSJEnpzaKtJElSdZHiy8RCCCNCCB+WuY0oG16McQFwPTAXWATkxRhf3uJZ3Ar0JFHM/Qy4IsZYUhEvjyRJknYRTo9g0VaSJEnlE2McGWPcu8xtZNn9IYTGwHCgE9AaqBdCOGeLwxwBfJLc3x+4NYSQW+nBS5IkSdWIRVtJkqRqI+1bDg4FZsUYl8UYNwFPAEO2GHMh8ERMmA7MAnp8vddBkiRJu7a0z3srnUVbSZIkVZS5wOAQQt3knLWHAJO3MeYQgBBCC6A7MLNKo5QkSZLSXFaqA5AkSdKuIcb4fgjhMWA8icXFPgZGhhAuS+6/Hfg9cG8I4TMSbQy/iDEuT1XMkiRJUjqyaCtJklRNxPS4UmuHYoxXA1dvsfn2MvsXAodXaVCSJEmqVqpD3lvZnB5BkiRJkiRJktKInbaSJEnVhR0HkiRJqgnMe+20lSRJkiRJkqR0YtFWkiRJkiRJktKI0yNIkiRVG14nJkmSpJrAvNdOW0mSJEmSJElKI3baSpIkVRPRhgNJkiTVAOa9dtpKkiRJkiRJUlqxaCtJkiRJkiRJacTpESRJkqoLLxOTJElSTWDea6etJEmSJEmSJKUTO20lSZKqDVsOJEmSVBOY99ppK0mSJEmSJElpxKKtJEmSJEmSJKURp0eQJEmqJqJXiUmSJKkGMO+101aSJEmSJEmS0oqdtpIkSdWFHQeSJEmqCcx77bSVJEmSJEmSpHRi0VaSJEmSJEmS0ojTI0iSJFUbXicmSZKkmsC8105bSZIkSZIkSUojdtpKkiRVFzYcSJIkqSYw77XTVpIkSZIkSZLSiUVbSZIkSZIkSUojTo8gSZJUTUQvE5MkSVINYN5rp60kSZIkSZIkpRU7bSVJkqoLOw4kSZJUE5j32mkrSZIkSZIkSenEoq0kSZIkSZIkpRGnR5AkSao2vE5MkiRJNYF5r522kiRJkiRJkpRG7LSVJEmqJqINB5IkSaoBzHvttJUkSZIkSZKktGLRVpIkSZIkSZLSiNMjSJIkVRdeJiZJkqSawLzXTltJkiRJkiRJSicWbSVJkiRJkiQpjVi0lSRJkiRJkqQ0YtFWkiRJkiRJktKIC5FJkiRVF8EVGSRJklQDmPfaaStJkiRJkiRJ6cROW0mSpGoi2nAgSZKkGsC8105bSZIkSZIkSUorFm0lSZIkSZIkKY1YtJUkSZIkSZKkNGLRVpIkSZIkSZLSiAuRSZIkVRcuyCBJkqSawLzXTltJkiRJkiRJSicWbSVJkiRJkiQpjTg9giRJUnURvE5MkiRJNYB5r522kiRJkiRJkpRO7LSVJEmqJmKqA5AkSZKqgHmvnbaSJEmSJEmSlFYs2kqSJEmSJElSGnF6BEmSpOrC9RgkSZJUE5j32mkrSZIkSZIkSenETltJkqTqwo4DSZIk1QTmvXbaSpIkSZIkSVI6sWgrSZIkSZIkSWnEoq0kSZIkSZIkpRGLtpIkSZIkSZKURqrtQmQD+manOgSlsYlTi1IdgtLUb+5sn+oQlMZuGlWc6hCkHQuuyFATrVkbUx2C0tSA9vbgaPvGT12Z6hCUpkbPqp/qEJTGzhqQ6giSzHvttJUkSZIkSZKkdFJtO20lSZJqmmjDgSRJkmoA8147bSVJkiRJkiQprVi0lSRJkiRJkqQ0YtFWkiRJkiRJktKIRVtJkiRJkiRJSiMuRCZJklRduCCDJEmSagLzXjttJUmSJEmSJCmdWLSVJEmSJEmSpDTi9AiSJEnVhZeJSZIkqSYw77XTVpIkSZIkSZLSiZ22kiRJ1YYtB5IkSaoJzHvttJUkSZIkSZKkNGLRVpIkSRUmhPDjEMLEEMLnIYSHQgg52xhzUAjhk+S4N1MRpyRJkpTOnB5BkiSpukjzq8RCCG2AHwK9YowFIYRHgDOAe8uMaQTcBhwZY5wbQmieilglSZKUxtI8760KdtpKkiSpImUBdUIIWUBdYOEW+88CnogxzgWIMS6t4vgkSZKktGfRVpIkqboIqb2FEEaEED4scxtRNrwY4wLgemAusAjIizG+vMWz2B1oHEJ4I4TwUQjhvAp6dSRJkrSrSHHemw6cHkGSJEnlEmMcCYzc3v4QQmNgONAJWA08GkI4J8b4QJlhWcBewCFAHeDdEMJ7McaplRa4JEmSVM3YaStJkqSKcigwK8a4LMa4CXgCGLLFmPnAqBjjuhjjcuAtoF8VxylJkiSlNYu2kiRJ1URM8a0c5gKDQwh1QwiBRDft5C3GPA0cEELICiHUBQZtY4wkSZJqsHTPe0MId4cQloYQPi+zrX8I4b0QwifJqcT2KbPvVyGE6SGEKSGEI8rzGli0lSRJUoWIMb4PPAaMBz4jkWuODCFcFkK4LDlmMjAK+BT4ALgzxvj5dg4pSZIkpaN7gSO32PZX4JoYY3/gt8nvCSH0As4Aeicfc1sIIXNnJ3BOW0mSpOoiTRZF2JEY49XA1Vtsvn2LMX8D/lZlQUmSJKl6SfO8N8b4Vgih45abgdzk/YbAwuT94cDDMcZCYFYIYTqwD/Dujs5h0VaSJEmSJEmSkkIII4ARZTaNTC7KuyM/Al4KIVxP4oqzL9d2aAO8V2bc/OS2HbJoK0mSJEmSJElJyQLtzoq0W/ou8OMY4+MhhNOAu0gs1LutvuGdTp3rnLaSJEmSJEmS9O2cDzyRvP8oiSkQINFZ267MuLZ8NXXCdlm0lSRJkiRJkqRvZyEwNHl/GDAtef8Z4IwQQu0QQiegG4kFeXfI6REkSZKqi5DmKzJIkiRJFSHN894QwkPAQUCzEMJ8EgvxXgrcHELIAjaQnBM3xjgxhPAIMAkoAi6PMRbv7BwWbSVJkiRJkiSpnGKMZ25n117bGf9H4I9f5xxOjyBJkiRJkiRJacROW0mSpOoiva8SkyRJkiqGea+dtpIkSZIkSZKUTizaSpIkSZIkSVIasWgrSZIkSZIkSWnEoq0kSZIkSZIkpREXIpMkSaouXJBBkiRJNYF5r522kiRJkiRJkpRO7LSVJEmqLuw4kCRJUk1g3munrSRJkiRJkiSlE4u2kiRJkiRJkpRGLNpKkiRJkiRJUhqxaCtJkiRJkiRJacSFyCRJkqoLF2SQJElSTWDea6etJEmSJEmSJKUTi7aSJEmSJEmSlEacHkGSJKmaCMHrxCRJkrTrM++101aSJEmSJEmS0opFW0mSJEmSJElKIxZtJUmSJEmSJCmNWLSVJEmSJEmSpDTiQmSSJEnVhesxSJIkqSYw77XTVpIkSZIkSZLSiZ22kiRJ1YUdB5IkSaoJzHvttJUkSZIkSZKkdGLRVpIkSZIkSZLSiEVbSZIkSZIkSUojFm0lSZIkSZIkKY24EJkkSVI1EVyQQZIkSTWAea+dtpIkSZIkSZKUVizaSpIkSZIkSVIasWgrSZIkSZIkSWnEoq0kSZIkSZIkpREXIpMkSaouXJBBkiRJNYF5r522kiRJkiRJkpROLNpKkiRJkiRJUhpxegRJkqTqwsvEJEmSVBOY99ppK0mSJEmSJEnpxE5bSZKkasKGA0mSJNUE5r122kqSJEmSJElSWrFoK0mSJEmSJElpxOkRJEmSqovghWKSJEmqAcx77bSVJEmSJEmSpHRip60kSVI1YcOBJEmSagLzXjttJUmSJEmSJCmtWLSVJEmSJEmSpDRi0VaSJEmSJEmS0kjK57QNIXQHDk9++1KMcWoq46lsrXMb8eMDjy79vkX9XP434T0+XzyfEYOHkZOVzbK1a7h57EsUbNrIAZ26c3zvvUrHd2jcjJ8/9yCzVy1nv467c9IeAwFYuX4tt4x9ifzCDQDs26Ebp/UbBMDsVcu5ecyo0mPUya7F34efywdzZ3DXB28A8PsjTiEnuxYADXPqMH35Ev76xnOV+lpo284fMoBT9tqDCExdspyrnhjFZUMHMaxnV0piZOW69fzq8VEsy18HwO4tmnHN8MOoX7sWJTFy6u3/ZWNRMSPPO4ndGtQjKyODD+cs4PfPvkZJjKXnObx3N24+83hOue0BJi5cAsDI806iX7tWjJ+zgO8+8FTp2DaNc7nhtGNpVCeHSYuW8ovHXmBTcUlVviwCli9cxWO3vFz6/aqlazj4lH3YsL6Q8aMnUzc3B4BDTh9Mtz07ADDmqY/4+I3JZGRkcOT5+9O1X3sAFs5cytO3j2bTxiK69e/AkefvT0hOGjTx3em88fg4AtCiQzNO/sFhALzy33eY9vEcYox03qNd6WNijIx+5H0mvTeDjIzA3of1YdCRfavwlRHAmQMHcEL/PkRg+tLlXPvcS1w2dD8O6NaZTcXFzF+Vx7XPvcTawkJaNczlkREXMHflSgA+W7CIv4x6DYDDe3XnwiGDiESW56/jN8+8QF7BBn586FD27tAOgNpZ2TSpV4dhN97GXh3a8ZNDh5bG0aFpE3791PO8OXUGAN8duh+H9NidkljC4+M/5X8ffly1L4yUJmpazvtN/eyQwxjcsROrC9Zz8YMPAHD+PoM5pncfVhcUAHDXu2/z/pzZ7NWuPZcO2Y+sjEyKSor599tj+Hj+/FSGr0r27n9eY8Fnc8hpUIdjf3MmAOOfeJsFn80mIzOT+rvlsu+5h1Crbm3WrljDc9c+SG6LRgA07diSQWcdlLrgValatGjEn649k2bNGlBSEnnsiff470NjyM2tw/V/OY/WrRuzcOEqfvqL+1mTX8AxRw3ggvMOKn387t1acdpZNzFl6sLUPQlVmgv2OpS+LTuRX7ieq1/9LwDDew1mz9ZdKImR/ML13P3hK+RtSPyN3Ta3GecOGEZOdi1ijPxh9MMUlRSn8imohqryom0I4Q3gxzHGj0MIJwH3Aa8nd/8hhHBujPGZqo6rqixcs5qfPfcgABkh8O9TLub9uTP46dBjuP+jMUxasoBhXXsxvPcAHv7kPcbMmsKYWVMAaN+oKb84+Dhmr1pORghcNHAoP3rmP+QXbuCcAftxVI9+PDLhfVo2aMRJe+zN/416lHUbC8nNqbNZDGf0H8ykJQs22/ablx4rvf/Toccwbt6MSn4ltC3NG9TnnH0HcOzN91JYVMSNpx/L0Xv04K6xH3LLa+8AcM7gPfnewftyzTOvkpkR+OupR/OLx15kyuJlNKqTQ1GymPrj/z3HusKNANx85nEc2Wd3Xvgs8bNUt1Y25+47gAnzNk9K7h77ITnZWZw+cPOC25WHH8j973zEC59N4erjD+Xkvfbg4Q8mVPbLoS00a92Yy/5yOgAlJSXc+L376DGwM5+8OZnBR/dlyLF7bjZ+2fyVTHx3Ot/725nkr1rHf/74DN+/6SwyMjJ4/u63OPaSg2jbrQUPXvc80yfMpVv/DqxYtJqxT4/not+dSJ36OazLWw/AvKmLmDd1MZf9NXH+e373JHMmL6RjrzZ88uYXrFmxlu/fcBYhI5Q+RlVnt/r1OX3gnpw+8j4Ki4r404nHcHiv7rw/aw7/fH0MxTHy/YMP4IIh+3Dr62MAWLB6NWff9cBmx8kMgSsPO5jTRt5LXsEGfnDwAZy2957cMeZdbnr1zdJxp+3dn+4tmgPw0Zx5pcfJzcnhie9exHsz5wBwXN/etMhtwKn/vocINK67+fuRvgEXZKg2anrO+029NHkST336Cb887IjNtj/2yXge+Xj8ZtvyCgr49XPPsGLdOjo2acpfh5/IaffcWZXhqop1HtyT7kP78s59r5Zua9WjHf2H70tGZgYfP/kOE1/6iD1PHAJA/WYNOfqqM1IVrqpQcXEx19/0DJO/WEDdurX5339/zLvvTWX48QN5/4Np3HXvaC6+YBgXXziMm255nudfHM/zLyZ+p3Tr2pJbbrzIgu0u7O05kxg9YwIX73146baXpo7n6UnvAXBIl34c13MQD3w8mowQuGSfI7hz3EvMz1tOvVo5FJfYsJQS5r0pmR6hH/BJ8v7VwDExxuNjjMcDRwN/SkFMKbFHy3Ysyc9j+bp8Wuc2Ki2kTlg4l0Htu241fv9O3RmbLOAGAoREtxNA3ezarFyf+FTo0G69GfXFp6zbWAjAmg0Fpcfo3KQ5jXLqMmHhnG3GlJOVTZ+Wbflg3syKe6L6WjIzMsjJziIzI1AnO4ul+WtLi68AdWplQ7Jjdr+uHZmyeBlTFi8DYHXBhtJu2i8fk5WRQXZmJmWabLni0P24a8w4Cos2/7TwvZlzWbdxI1sa3Lk9L01MNAQ9/fFEDum59c+nqtasz+fTpEVDGu3WYLtjvvhwFr337UpWdiaNm+fSpGVDFkxfSv6qdRQWbKTd7i0JIdD3gO588eEsAMaPnsTAw/tQp36ia7dew7rJowWKNhVTXFRCcfJrvYaJAtyHr05k6EkDCRlhi8eoKmVlZFA7K4vMEJJXbazj/VlzKE7+5/98wSJaNKi/44OEQAhQJzvx3lKvdi2W56/datgRvXrw0sQvttp+SI9uvDtjFoVFRQCcPKAfd459jy9//axaX7DVY6RdmDnvN/DpwgWs2VBYrrHTly9jxbpE/jt75QqyMzPJzsiszPCUYi26taZWvdqbbWvVqz0ZmYk/a5t1asn61Vu/b2nXt3x5PpO/SPw9vX59IbNmLaFF84YcPLQ3Tz83DoCnnxvHwQf12eqxRx25Jy+85JVAu7JpyxeybuOGzbZtKPrq795aWdmQzFh7t+jA/LzlzM9bDsC6jRuIRKRUKFenbQhhONAkxnhP8vsOwMNAH+Al4IIYY3nfHYuAxsBKoDXwTpl97wEdynmcam+/TruXFmHnrV7BwHadGTdvJvt26EazelsXYoZ07MZ1ryemLCiOJdzx3uvceNzZFBYVsSh/NXd+kGjeaJ3bGIA/HHkqGSHwyIT3+WThHAJw/t4HcMvYl9ijVbttxjSofRc+WzyPgk1bF+5U+Zbmr+WeseN47aeXUlhUxNvT5/DO9ESB/YpD92P4nr1Zu6GQ8+96BICOTRP/1necfzJN6tXhhU+ncNfYcaXHu+P8k9mjbUvGTJ1VWnTt2ao5LRs24I0pM7lw/713GlOjunVYs2EDxSWJN6rFa9bSIncnhR9Vus/fmU6fId1Kv//gpc+Z8NYUWnduzuHnDKFO/RzyV62jbdcWpWMaNKlH/qp1ZGZmkNvkq3/D3Kb1yF+Z+KN3xeI8AO6++glKSiIHnTyQrv3b0273lnTs1ZobvnsvRBh4RB92a9MEgFVL8vj83Wl8MW4W9XLrcOT5+9O0VaPKfxFUatnatTzw/oc8+/1LKCwq4v2Zc3h/1uYfzh3frzevTPrqauzWDRvywEXnsG7jRv715tt8Mm8BxSUl/GXUazx06Xls2LSJuStX89eXRm92nJa5DWjdKJcP58zbKo7DenXnwQ8+Kv2+TaOGHNZzdw7q3pXV6wu4/uXXmbdqdcU+eamCVWDea85bgU7o25/DevRk6tKl/GvsW6wt3Lywe2CXrkxfvoxNXr5ao814ZzId9vqquWDtijW88Kf/kZ1Ti37HD6J519YpjE5VpXWrxvTo3oZPP59D06YNWL48H0gUdps22frvmCMP688Pf3JPVYepNHBi733Zt31PCjYV8re3ngCgRf1GxBj50f4n0KBWHcbNn8qoqR/t5EhS5Shvp+3/AbuV+f5GoC0wEjgQ+N3XOOejwK0hhPrAf4BfhYQM4JfAZ9t7YAhhRAjhwxDChzNff2d7w6qFrIwM9m7bmXfnTAfgn++8ypHd+3LdMWdQJ7vWVvOldGvWgsKiIuatXgFAZsjgiO59+dlzD3HpY3cyZ9VyTuyTKMBlZmTQKrcRV7/0OH8fM4rv7nsIdbNrcUT3voxfMJsV67f/d0aim9cp1lIlN6c2w3p25bAb7mTodf+mTnY2x/XrCcDNr77NsL+N5NkJkzl7cOIy+MyMDAZ0aMPPHn2Bs+94mEN7dWVw5/alx7v0vsc58LrbqZWVyeDO7QkBfnn0QVz34pvbPP+2bOuKhBj9pDGViouKmfLRbHoN6gLA3of24Yc3n81lfzmd+o3r8vIDid+P2/tn2tYnxcnpbCkpLmHl4jzO/81wTv7BYTxzx+tsWFfIysV5LF+wip/883x+ctv5zJ64gDmTE5eQFW0qJis7ixF/OpUBw3ryzL9f3+r4qlwNcmpzYLcuDL/tLo66ZSQ52dkc1btn6f4Lh+xDUUnkxYmTAVi+dh3H/fMOzrn7AW569Q3+MPxo6tWqRWZGBqcM6Mc5dz3AUbeMZPrS5VwwZJ/NznV4rx689sW0zebIBmharx5dmzfj3ZlfFYtrZWWysaiY8+95kKc++YzfHHs4+nZCim81REXlvd8454XN896Fb1fvvPfbeuazTznn/nsY8dB/WbFuHd/d/8DN9nds0oQR++3PTaNfS1GESgefv/ghITPQcZ/dAaiTW48T/3A+R191OgNO2Y+3736FTQU2puzq6tSpxU3Xn891NzzNunU779rfo097NmzYxPQZi6sgOqWbJye+y89fvJv35k1hWJd+AGSEDLo2a82dH4ziujcfZc/WXeix27ab3lS5zHvLX7TtAnwKEEKoQ+KSrp/EGK8ErgJO/BrnvBIoAeYDhwDXAAXAeuB84JLtPTDGODLGuHeMce/OBw/5GqdMP3u26cislUvJ25CY+3HhmlX8/tWn+MXzDzN21hQW5+dtNn6/jt15u0wxtWOTxN8SS9Ymxr0zeyrdd0t8crxi3VrGzZtJcSxh6do1LFyzmla5jem+WyuO7NGP2066kPP2OoChnXtw9oD9So9Zv3YOXZu1YPz8WZX63LV9+3bpwIJVeaxaX0BRSQmvTprGnu037wh4/tPJHN470WG5ZE0+42bNY/X6AjZsKuKtqbPo1br5ZuM3FhUz+osZDOvZhXq1atGteTPuv/g0Xr3yEvq1bcVt55xA79Yt2J5V6wvIzckhM3npe8vc+ixNLoKm1Jj2yVxadWpG/UaJaQjqN6pLRkYGISOw17BeLJixFIDcJvXIW/HVhzT5K9fRoHE9cpvUZ83Kr7avWbGO+o3rlT6m+96dyMxKTKnQrFUjVixezeRxM2nTrSW1crKplZNN137tmT8tsYBdbtP69BrUGYAeAzuzZO6KKnkd9JV9OrZn4eo1rF5fQHFJCa9PmUbftq0AOGaPXuzftTO/efqF0vGbiovJK0hcIvbF4qXMX7Wa9k0a071F4r1lwerEe8urk6fQt83mv4MO79Wdl7cxNcJhvXbnjSnTN5vza2n+WkZPmQbA61Om02233bZ6nJSGKirv/cY5L2ye97ber3rnvd/WqoL1lMTER47PT/ycHi2+ylua1avPNUcfx59feYmFa/K2fxDt0ma+9wULPp/NfhceVrqwamZ2JrWT0z01bd+c+rvlsmbp6hRGqcqWlZXBTddfwPMvjOe10YnPxVasyKdZs8RVrM2aNWDFys0bmI46or9TI4j3501hrzaJhphVBWuZumwBazduYGNxEZ8tnk2HxuawSo3yFm1zSCSZAENITKvw5RLmU0hc8lUuMcaCGOM5wD7A9cCvSXQbHA30ijFOKu+xqrP9O+6+WUfrl4uFBeCUvvvwytSvmi8CsG+HroydPaV028r1a2nbsAm5tROP69e6PfPzEquAfzBvBn1atgWgQe0cWuU2YsnaPG4e+xLfffxuvvfEPdz/0RjenPkF/x3/dukxh3ToxkfzZ3lZWQotyltDv7atyMlOzFwyuEt7ZixbSYemjUrHHNyjKzOXJf6tx06bTfeWu5XOgTuwU1tmLF1B3VrZ7FY/UYTLzAgM3b0zM5etZG3hRob8+TYOveFODr3hTibMX8T3HniKiQuX7DCu92fN5Yjeia6F4Xv2ZvTk6ZXw7FVen78zbbOpEfJXfVVEnzxuFs3bJaYt6L5XJya+O52iTcWsWrqGFYvzaNO1OQ0a16N2Tjbzpy0mxsinY6bQY69OAPTYuzOzJybnA1tTwIpFq2ncvCENm9VnzuSFlBSXUFxUzJzJC2nWpnHyMZ2Y9XniMXMmL6Rpq4ZV8jroK4vX5LNHm5bUzkr87hjYsT2zVqxk384dOW/fgVz52NOl88xCYtqTjOQftW0aNaRdk8YsWJ3H0vy1dGrWhEbJBcMGderA7BVfFeE7NGlMg5zafLpg0VYxHN6rBy9NmrLZtjenTGfvDonOhAHt2zJ35aqKfeI1kS0HVaFC8l5z3orTpO5Xc6Uf0KULs5K/l+rVqs2fjx/One++zcRFW/9eUs2wcOIcJr48nqGXHUNWrezS7RvyCyhJfpCYvzyP/KV51G+Wm6owVQWu+e3pzJy1hPv/+1bptjfemsjwYwcCMPzYgbz+5sTSfSEEDj+0H6Ms2tZIzes3Kr3fv1VnFuUn8tSJS+bQtmEzamVmkRECu+/WhoVrVqYoyhrOvLd8c9oCs4H9gTeB4cBHMcYvP8puDnztj7VjjFOBza7DDyFkhhB+G2O89userzqplZlF39bt+fd7X80TuH/H7hzZoy8A78+dwejpX+XxvVq0YcX6tSxdu6Z026qCdTz66ftce8QpFMcSlq1dw63vvALAJwvn0K91e246/hxKYuQ/H41lbeHmk25vy34dd+fJzz+sqKepb+DT+Yt5aeI0Hv/euRSXlDB50VIeGfcp1592NJ2aNaEkRhauXsPvnk6smLtmQyH3vv0Rj152NhF4a+os3pw6i6b16vLPc06gVlYmmSHw3sx5/G/chJ2e/z+XnE7n3ZpQt1Y2r/9sBP/35Eu8PX0ON7w0hhtOP4YfHrofkxct5bGPPq/kV0Lbs6lwEzM/m8exlwwt3fbqg++yeE5iovxGu+WW7mvergm9Bnfhtp8+REZmBkdfeAAZGYnP6o65aChP3T6aoo1FdO3fnq79E9NqdOnXjhmfzeOfP32IjIzAYWcPoW6DHHoN6sKsiQv4188fhhDo2q893ffqCMD+xw/giVtf4b0XJ1ArJ5vjRhxcha+IACYuXMxrX0zjgYvPobikhCmLl/Lkx5/xv0vPp1ZWJv8882QAPluwiL+Meo0927XlsgP3pagkUhJL+MuLr7JmQ+J94o4x7zHynNMoKilhcd4arnnupdLzHN67B69sUZgFaNUwlxa5DRi/xTy39747jt8PP4qz9tmL9Rs38ocXXt7qsVIamk0F5r01Oef9Jv7viKPo16YtDXNy+N+FF3Pv++/Rv01bujTbjUhkyZo13Ph6YhqEE/v2o3XDRpw7cBDnDhwEwM+ffoLVBS56uKsae/fLLJm6gMK1G3jiqnvpe8w+THz5I0o2lTD6H08D0LRjSwaddRBLpy/k0+feJySvRtrnzKHUrpeT4megyrJn/04cf+zeTJ22kEcf+gkAt9z6AnfdM5rrrzuPE0/Yh0WLV3Plz+8rfcxeAzqzeGke8xdYkNvVXbrPkXRv1pb6tXP461EX8czk99mjZUda1m9EBFasX8N/xifqM+s3FfLKtPH8etgZECOfLZ7NZ4tnpzR+1VyhPHNThhCuINEhMAHoD3w3xnhHct/1wIAY47BvHUwItYH1McadLvt6yv03O6mmtmvi1KKdD1KN9JuTyvtZlWqim0Z5pYG2bdxVP0mLz9s7//T6lOY/M6//aVq8DpWpKvLer5PzAgz7x9/Ne7VNB/Uq74WTqoke/dmcVIegNDXo1+13Pkg11p0nX5EW+Z55bzk7bWOMN4cQlgODgVtijPeX2d0AuLe8Jwwh3P1t45EkSaqJQspTx11fReW95rySJEnfnHnv10gYY4z/Bf67je3f+ZrnPAu4C9jWNQjl6jaQJEmSKksF5b3mvJIkSfrGvvan/CGE5iQWaNhMjHFuOQ/xGfBSjPGZbRw7h8QCDZIkSVJKfcu815xXkiRJ31i5irYhhFzgZuB0oPZ2hpW3Y+BeYHuTL20CrinncSRJkqQKVYF5772Y80qSJOkbKm+n7T+Bk0lc4vUZUPhNTxhj/OcO9hVjAitJkqTUqZC815xXkiRJ30Z5i7ZHAD/bUfIpSZKkyuWCDFXCvFeSJCnFzHu3f8nWlgIwpTIDkSRJktKAea8kSZJSrrxF24eB4yozEEmSJCkNmPdKkiQp5co7PcLLwN9DCA2AF4CVWw6IMY6uyMAkSZKkFDDvlSRJUsqVt2j7dPJrJ+CCMtsjiUvIIuVbRVeSJElKZ+a9kiRJSrnyFm0PrtQoJEmStFMuyFAlzHslSZJSzLy3nEXbGOOblR2IJEmSlGrmvZIkSUoH5e20BSCE0ATYF2gCrADeizFuNc+XJEmSKoEdB1XGvFeSJCmFzHvJKO/AEMIfgAXAM8B9wHPAghDC7yspNkmSJFUzIYQfhxAmhhA+DyE8FELI2c64gSGE4hDCKVUd486Y90qSJCnVylW0DSH8CLgKeAAYBvQkMd/XA8BVIYQfVlaAkiRJqh5CCG2AHwJ7xxj7kFiw64xtjMsErgNeqtoId868V5IkSemgvNMjXAbcHGP8cZltU4A3Qwhrge8Bt1R0cJIkSfpKqB7XiWUBdUIIm4C6wMJtjPkB8DgwsCoDKyfzXkmSpBSrJnlvpSrv9Agdgee3s+/55H5JkiTtwkIII0IIH5a5jSi7P8a4ALgemAssAvJijC9vcYw2wInA7VUV99fUEfNeSZIkpVh5i7YrgD7b2dc7uV+SJEmVKaT2FmMcGWPcu8xt5GbhhdAYGA50AloD9UII52zxLP4O/CLGWFwxL0qFM++VJElKtRTnvemgvEXbJ4HfhxDODSFkA4QQskIIZwLXkri8TZIkSTXbocCsGOOyGOMm4AlgyBZj9gYeDiHMBk4BbgshnFClUe6Yea8kSZJSrrxz2v4K6Edi9dy7QwgrgSYkFpcYS2KxBkmSJNVsc4HBIYS6QAFwCPBh2QExxk5f3g8h3As8F2N8qgpj3BnzXkmSJKVcuYq2Mcb8EMKBwDHAASQS15XAm8CLMcZYeSFKkiQJ0uZKre2KMb4fQngMGA8UAR8DI0MIlyX3p+s8tqXMeyVJklIv3fPeqlDeTluSCepzyZskSZK0lRjj1cDVW2zeZrE2xnhBpQf0DZj3SpIkKdXKXbSVJElSagVbDiRJklQDmPfuYCGyEEJxCGGf5P2S5PfbuxVVXciSJElSxTHvlSRJUrrZUafttcD8Mvedv0uSJEm7IvNeSZIkpZXtFm1jjNeUuf+7KolGkiRJ2+dlYpXCvFeSJCnNmPduf3qEskIId4cQOm1nX4cQwt0VG5YkSZJU9cx7JUmSlA7KVbQFLgB2286+ZsD5FRKNJEmStiuk+FZDXIB5ryRJUkqZ95a/aAvbn9urJVBQAbFIkiRJ6cC8V5IkSSm13TltQwgnAieW2XRNCGH5FsPqAAcAH1VCbJIkSVKlM++VJElSutlu0RZoTyIxhUS3QX+gcIsxhcA7wK8qPDJJkiRtLl2u1dr1mPdKkiSlE/Pe7RdtY4w3AzcDhBBmASfEGCdUVWCSJElSVTDvlSRJUrrZUadtqRjjNlfQlSRJUtWx4aDymfdKkiSlnnnvjue0PRAYH2Ncm7y/QzHGtyo0MkmSJKkKmPdKkiQp3eyo0/YNYDDwQfL+9lbRDcl9mRUZmCRJklRF3sC8V5IkSWlkR0Xbg4FJyfvD2H7yKkmSpCoQvE6sspj3SpIkpRHz3h0vRPZmmftvVEk0kiRJUhUz75UkSVK6ySjPoBDCzBBCv+3s6xNCmFmxYUmSJGkrIcW3GsC8V5IkKQ2Y95avaAt0BGpvZ18O0KFCopEkSZJSqyPmvZIkSUqx8hZtYftze+0NrP72oUiSJElpwbxXkiRJKbXdOW1DCD8Gfpz8NgLPhhA2bjGsDtAEeLhywpMkSdKX0uRKrV2Oea8kSVJ6Me/dQdEWmAm8lrx/PvAhsGyLMYUkVtq9s+JDkyRJkqqEea8kSZLSynaLtjHGp4GnAUIIANfGGGdVUVySJEnaQrDloFKY90qSJKUX895yzGkbQqgFDAf2qPxwJEmSpNQw75UkSVK62GnRNsa4ESgCNlR+OJIkSVJqmPdKkiQpXey0aJv0FHBKJcYhSZIkpYOnMO+VJElSiu1oIbKyXgRuCSE8RiKRXURiZd1SMcbRFRuaJEmSVOXMeyVJkpRy5S3aPp78elLy9qUIhOTXzAqMS5IkSVtwQYYqYd4rSZKUYua95S/aHlypUUiSJEnpwbxXkiRJKVeuom2M8c3KDkSSJElKNfNeSZIkpYPydtpKkiQp1bxMTJIkSTWBeW/5i7YhhD7AxUB3IGeL3THGeEhFBiZJkiSlgnmvJEmSUq1cRdsQwiDgTWA20A34FGgMtAfmA9MrKT5JkiQlBVsOKp15ryRJUuqZ90JGOcf9CXgC6E2iQfniGGNH4FASq+f+oVKikyRJkqqWea8kSZJSrrxF277AA0BMfp8JEGMcTSJx/XPFhyZJkiRVOfNeSZIkpVx557TNBtbFGEtCCCuBVmX2TQH6VHhkkiRJ2kzwKrGqYN4rSZKUYua95e+0nQG0Sd7/FLgohJARQsgALgQWV0ZwkiRJUhUz75UkSVLKlbfT9jngIOBBEvN8PQ+sAYqB+sAPKyM4SZIkqYqZ90qSJCnlylW0jTFeXeb+qyGEwcDJQF1gVIzx5UqKT5IkSaoy5r2SJElKBzss2oYQmgHnAF2BVcDjMcZPYowfAx9XQXySJElSpTPvlSRJUjrZbtE2hNAdeAvYrczmX4YQTokxPl3pkUmSJGkzLshQOcx7JUmS0ot5744XIvsDsIHEnF71gD2AD4AbKz8sSZIkqcqY90qSJCmt7Gh6hEHAb2KMbyW/nxhC+A4wIYSwW4xxWeWHJ0mSpC/ZcFBpzHslSZLSiHnvjjtt2wBTttg2hcTr1rrSIpIkSZKqlnmvJEmS0sqOirYBKN5iW0k5HidJkiRVJ+a9kiRJSis7mh4B4JoQwvIy33/Znfz7EMLKMttjjPH8ig1NkiRJm/E6scpk3itJkpQuzHt3WLSdC/TcxvY5QO8ttsUKi0iSJEmqWua9kiRJSivbLdrGGDtWYRySJEnaiWDHQaUw75UkSUov5r3O0SVJkiRJkiRJacWirSRJkiRJkiSlkZ0tRCZJkqQ04VVikiRJqgnMe+20lSRJkiRJkqRyCyHcHUJYGkL4fIvtPwghTAkhTAwh/LXM9l+FEKYn9x1RnnPYaStJklRd2HIgSZKkmiD98957gVuB+7/cEEI4GBgO9I0xFoYQmie39wLOAHoDrYFXQwi7xxiLd3SC7XbahhCeCCF0Td4/L4TQ9Fs+GUmSJCntmPdKkiTp64gxvgWs3GLzd4G/xBgLk2OWJrcPBx6OMRbGGGcB04F9dnaOHU2PMBxokrx/D9Dla8QuSZIkVRfmvZIkSSoVQhgRQviwzG1EOR62O3BACOH9EMKbIYSBye1tgHllxs1PbtuhHU2PsATYF/iARFNyLEdwVWbcq+tTHYLSWOe966Q6BKWpqx/ZlOoQlMaO2T871SFIO5T+V4lVW2md9+7W2H95bdvdzxamOgSlscxOjVIdgtLU+Mk7vCJbSgupzn5ijCOBkV/zYVlAY2AwMBB4JITQmW0/nZ3mmzvqtH0EuCmEUJw80HshhOLt3Iq+5pOQJEmS0oV5ryRJkr6t+cATMeEDoARoltzersy4tsDCnR1sR522PwbeBnoBV5OYYHfBN4tZkiRJ31ZIdcvBrsu8V5IkKY1U07z3KWAY8EYIYXegFrAceAZ4MIRwI4mFyLqRuMJrh7ZbtI0xRuBRgBDCBcDNMcYJ3zJ4SZIkKa2Y90qSJOnrCCE8BBwENAshzCfxwf/dwN0hhM+BjcD5yTxzYgjhEWASUARcHmPc6TwlO+q0LRVj7PTNnoIkSZJUfZj3SpIkaWdijGduZ9c52xn/R+CPX+cc5SraAoQQWgFXAkNJrK67AngDuDHGuPjrnFSSJEnfQPW8TKzaMe+VJElKMfPeHS5EVio5D8ME4IfAWhLzLqwDrgA+CSF0q7QIJUmSpCpi3itJkqR0UN5O2+uAPGCfGOPsLzeGEDoALyf3n1Th0UmSJKmUDQdVwrxXkiQpxcx7y9lpCxwM/KZs4goQY5wD/C65X5IkSaruzHslSZKUcuUt2tYC8rezLz+5X5IkSaruzHslSZKUcuUt2n4C/CCEsNn4EEIAvpfcL0mSpEoUQmpvNcQnmPdKkiSllHlv+ee0vRZ4DpgcQvgfsAhoCZwKdAOOqZzwJEmSpCpl3itJkqSUK1fRNsY4KoRwLPAH4Nck5gOOwEfAsTHGlysvREmSJCWkycf+uzDzXkmSpHRg3lveTltijKOAUSGEukBjYFWMcX2lRSZJkiSlgHmvJEmSUq3cRdsvJRNWk1ZJkiTt0sx7JUmSlCpfu2grSZKk1EiXRREkSZKkymTeCxk7HyJJkiRJkiRJqip22kqSJFUXdhxIkiSpJjDvtdNWkiRJkiRJktLJTou2IYRaIYTxIYTDqyIgSZIkKRXMeyVJkpQudjo9QoxxYwihE1BUBfFIkiRpO7xKrHKZ90qSJKUH897yT4/wCmDHgSRJknZ15r2SJElKufIuRPYP4IEQQhbwFLAIiGUHxBhnVmxokiRJKitUg5aDEMKPgUtI5IqfARfGGDeU2X828Ivkt2uB78YYJ1R5oNtn3itJkpRi1SHvrWzlLdq+mfz6E+DH2xmT+e3DkSRJUnUVQmgD/BDoFWMsCCE8ApwB3Ftm2CxgaIxxVQjhKGAkMKjKg90+815JkiSlXHmLthdWahSSJEnaVWQBdUIIm4C6wMKyO2OM75T59j2gbRXGVh7mvZIkSUq5chVtY4z3VXYgkiRJSm8hhBHAiDKbRsYYR375TYxxQQjhemAuUAC8HGN8eQeHvBh4sVKC/YbMeyVJkpQOyttpC0AIIQPoBTQFPowxrquUqCRJkpR2kgXakdvbH0JoDAwHOgGrgUdDCOfEGB/YxtiDSRRt96+caL8d815JkiSlUkZ5B4YQLgcWA58Co4Huye1PhRB+WDnhSZIk6UshpPZWDocCs2KMy2KMm4AngCFbP4/QF7gTGB5jXFGRr1FFMO+VJElKrWqQ91a6chVtQwiXAjeTWEH3NKBs+GOAkys8MkmSJFU3c4HBIYS6IYQAHAJMLjsghNCeRDH33Bjj1BTEuEPmvZIkSUoH5e20/QlwQ4xxBPDkFvu+INl9IEmSpJorxvg+8BgwHviMRK45MoRwWQjhsuSw35KYcuC2EMInIYQPUxPtdpn3SpIkKeXKO6dtJ+Cl7exbBzSqkGgkSZK0XWlypdYOxRivBq7eYvPtZfZfAlxSpUF9Pea9kiRJKVYd8t7KVt5O2+VAx+3s6w4sqJBoJEmSpNQy75UkSVLKlbdo+yzw2xBC5zLbYgihGfBjEnN+SZIkqTKFFN9qBvNeSZKkVDPvLXfR9v+AQuBz4FUgAreQWFiiGLi2UqKTJEmSqpZ5ryRJklKuXEXbGOMKYG/gz0A2MIPEfLi3AvvGGPMqLUJJkiSpipj3SpIkKR2UdyEyYoz5wO+TN0mSJFWxkCaXau3qzHslSZJSy7z3axRtAUIIuUAfoA0wH5gYY1xTGYFJkiRJqWLeK0mSpFQqd9E2hPBb4EqgPl9NyZsfQvhbjPEPlRGcJEmSvmLDQdUw75UkSUot895yFm1DCNcAvwHuBB4GlgAtgDOBa0IIWTHG31VWkJIkSVJVMO+VJElSOihvp+2lwA0xxp+V2TYRGB1CyANGAL+r4NgkSZKkqmbeK0mSpJTLKOe4hsBL29k3KrlfkiRJlSmk+FYzmPdKkiSlmnlvuYu27wMDt7NvYHK/JEmSVN2Z90qSJCnltjs9QgihbEH3h8CTIYQi4FG+mtvrNOAiYHhlBilJkqS0+dB/l2PeK0mSlF7Me3c8p20REMt8H4C/JG9ssf3TnRxLkiRJSlfmvZIkSUorO0o4r2Xz5FWSJEkpFGw5qCzmvZIkSWnEvHcHRdsY4++qMA5JkiQpJcx7JUmSlG7KuxCZJEmSJEmSJKkKlHs+rhBCT+AUoB2Qs8XuGGM8vyIDkyRJ0ha8TqxKmPdKkiSlmHlv+Yq2IYTzgLtJzPW1FNi4xRDnAJMkSVK1Z94rSZKkdFDeTtvfAE8DF8cYV1deOJIkSdoe+w2qhHmvJElSipn3lr9o2xK4zMRVkiRJuzjzXkmSJKVceRciexvoWZmBSJIkSWnAvFeSJEkpV95O2+8DT4QQVgAvA6u2HBBjLKnIwCRJkrQFrxOrCua9kiRJqWbeW+6i7XzgY+CB7eyPX+NYkiRJUroy75UkSVLKlTfhvAM4HXgK+IKtV9GVJElSJbPhoEqY90qSJKWYeW/5i7bDgZ/FGG+uzGAkSZKkFDPvlSRJUsqVdyGydcCkygxEkiRJSgPmvZIkSUq58hZt7wHOqsxAJEmStGMhpPZWQ5j3SpIkpZh5b/mnR5gDnBlCeAUYxbZX0b27IgOTJEmSUsC8V5IkSSlX3qLtv5JfOwCHbGN/BExeJUmSKlOafOq/izPvlSRJSjXz3nIXbTtVahSSJElSejDvlSRJUsqVq2gbY5xT2YFIkiRJqWbeK0mSpHRQ3k5bSZIkpZhXiUmSJKkmMO8tZ9E2hDCLxPxd2xVj7FwhEUmSJEkpYt4rSZKkdFDeTts32Tp5bQoMAdYCoysyKEmSJG0t2HJQFcx7JUmSUsy8t/xz2l6wre0hhEbAKODVigtJkiRJSg3zXkmSJKWDjG/z4BjjauBvwG8rJBpJkiQpDZn3SpIkqSp9q6Jt0gagbQUcR5IkSUpn5r2SJEmqEuWd03YrIYQsoA/wO2BiRQUkSZIkpRPzXkmSJFW1chVtQwglbH8V3TXAMRUWkSRJkrbJBRkqn3mvJElS6pn3lr/T9lq2Tl43AHOAF2OMeRUalSRJkpQa5r2SJElKuXIVbWOMv6vkOCRJkqSUM++VJElSOvjGc9pKkiSpanmZmCRJkmoC894dFG1DCL/9OgeKMV777cORJEmSqpZ5ryRJktLNjjptf1eOx5ed78vkVZIkSdXR78oxxrxXkiRJVWZHRdvsnTy2P/AH4AhgWkUFVBNcfMRAzhjajwh8MW8ZP7vzOQo3FXPBYXtx3qF7UVxcwugJM/jz/14vfUzrprm8+udL+fuTYxj54gcAPPyrs2jeqD4bNhYBcO5fH2ZF/npaN83lxkuPJbdebTJCBtc98gavfzoDgF+edhDD+ncF4Jan3+a59ydvFts15x7GqQf0pdeIG6rgldC2nNJ/T47p3YdIZObyFVz36ssM6dSZCwYNpn2TJnz3fw8xdenSzR7TvH4D7j3nXO59/z0e+Xg8ANcNP4GmdeuRmZHBpwsXcPMbr1MSI9874ED2bNsOgNpZWTSuW5fj/v0vAI7o0ZNz9tkHgAc++ICXvkj8fOzZti2X7X8g2ZkZTF26lL+++golcXsLa6uyXLD/Xpw2cA9ihKmLl/GLx0axsagYgIsP2JtfHnMQ+1z7T1atLwDgOwftw6l770FxjPz+mdGMnTYbgLsuPJndcuuRlZHBh7Pm87unX9vs3/PIPrvzj3OO58R//IfPFywB4Is//YSpi5cDsHD1Gi67/ykAHvzOGdSvXQuAJvXr8um8RXzvP09XxcuhMprXa8T5A44u/b5p3VxenPoeHRu3onm9xgDUya5NwaZC/jbmQTJDBqf1PYR2DZsTiTw58U2mr1gAwPf3PZnc2vXYVJx4b/nX+0+ydmMBjXIacHb/w6iTnXhvefaLt5m8dDYAx/XYj17NOwLw8rQP+HhRIi1oUieX8wccRd1aOczPW8oDH79EcSypoldF+lrMe9PEZYMPZUDbTqzZsJ6fPvffzfYd23MA5+51AJc8+m/yCzewR8v2nLXnELIyMikqKeaB8WOZuGR+iiJXVfjrmUcyrFdnVqxdzxHX3QvArecfR+fmTQDIrVObNQWFHP23++jXviV/Pv0IAALw91Hv8NJn/vfdVf3le8cxbO9urMhbx1E//jcAPTq04PffOZp6ObWYv2w1P/n7k6wt2AjAZSfux2mH9Ke4JHLt3aMY88nMVIavSnb1sYdzQLfOrFy3ntNG3l+6/fS9+3P6wP4Ul5Qwdtosbh49hoZ1cvjrycfRu3ULnp0wieteGp3CyFXTbbdoG2Ms3tb2EEI3Et0FpwILgBHAPeU5WQihZXLsEGAi8NMY4ztl9q+JMeaWO/pqqEXj+lx4+N4c8ss7KNxUxD8vP4HjBvViwYo8DhvQjSN/fRcbi4pp2qDuZo/77VmH8Eay8FrWFbc/w2ezFm+27QfHD+G5DybzwOiP6da6KfdceRr7X/kvhvXrQp+OLTnq/+6iVlYWj/z6bN6YMIO1GxJvXHt0aklu3ZzKe/LaqWb16nFSv/5c8MD9bCwu5uqjjmbY7t2ZvHgRv33+OX4y7JBtPu7yAw/k/TmzN9t2zYsvsH5j4t/2mqOPYWjXbrw+bSq3jXmrdMyJffvRbbfmADSoXZvzBg3msocfJAL/PuMs3p41k3WFhfzysCO48snHmb96NRcOGsyRPXvxwqSJlfIaaNta5NbnvCEDOOrGeygsKuLms47j2H49eOKjibRs2ID9unVgwao1peO7Nm/KMf16cPRN99I8tz73XXIqh11/FyUxcsWDz7K2MPGzces5x3PUHrvz/KdTAKhXK5vz9tuTT+Yu3Oz8GzYVcfwt97Ols/79cOn9W885nlcnTa+Mp6+dWLpuNX8b8yAAgcA1h17Mp4tn8OasT0rHDO95ABuKCgHYt30fAP761n+pX6sO39lnODeOfbi0jfA/H49iXt7mHw4d3m0gnyyaxttzPqNF/SZ8Z5/hXDv6Hno170jbhs3525gHycrI5Pv7nsKkZXMoLNrIcT33441ZH/PxwqmcuscwBrfvzdtzPqv010P6usx708ebMyfx0tQJXD7k8M22N61bn76t2rNs7VfvdfmFBfz1jWdZVbCOdg2bctUhJ/DdJ+6q6pBVhR57/3PuGzOeG8/+6oPK79/3bOn9Xw8/iPwNife6KYuWc9wN91NcEtkttx4v/ux8Xp04neISGw92RY+/MYH/vDiO6384vHTbn793LH++7xU+mDSXU4b149LhQ7jp4Tfo2rYZx+7fmyN/dDvNmzTg/qvP5tAf3EaJPxu7rGc/ncj/PvyEa48/snTb3h3acVD3Lpw+8j9sKi6mcd06ABQWFfGvN9+my27N6Lpbs1SFLAGQUd6BIYR2IYQ7SSSdw4CfAt1ijHduL9HdhpuBhcBBwCPAsyGEs8qeprzxVGeZGRnk1MoiMyNQp3Y2S1av5ZxhA7jtufdKu+ZW5K8vHX/4gG7MXbaaqQuWl+v4MUL9OrUBaFA3h6Wr1wLQrU0z3v9iLsUlkYKNm5g8dylD+3YGICMEfn36MP78sJ8ipVpmRga1s7LICIHaWVmsWLeWuatWMW/1qm2O369zFxbm5TF75crNtn9ZsM3MyCArM3Objx3WvTuvTU0U6wZ26MhHc+eSX1jI2sJCPpo7l306dCS3Th02FRczf/VqAD6cN5cDunatoGerryMrI5CTnfzdkZ3F0jWJ/9u/PvZg/vriW8QyV+4e0qsLz0/4go3FxcxflcecFavo264lQGnBNisjg+zMzM2u9/3R4ftzx5vjKCwq76/1hHq1shncpT2vTrRom2q7N2vH8vV5rCrI32x7/9bd+GjhVABaNGjC1OVzAVi7sYCCoo20a9Rip8fOyUp0VdfJqkXehsTPX4v6TZi+Yj4lMbKxuIiFa5bTc7cOAHRr1o4Jya7bcfMmsUeLLhXzJGuwEFJ7qynMe1Nn8tKFrC3csNX28/Y6kP+OH7vZe9bsVctYVbAOgHl5K8jOzCQrY9s5j3YNH8ycT976rX8+vnRM/+4881HiSrENm4pKC7S1s7KwHLdrGzdpLqvXFmy2rVPrpnwwKZHvvD1hFkcM7gHAoQO789zYiWwsKmb+0tXMWbyKfl1bV3nMqjrj5y4gr2Dz3x2n7NWXe94Zx6bixNv6l1crbthUxCfzFrKxqKjK49TmzHt3PD0CACGE5sCvSXQWbCDRbXBTjHHdNzjfQUCHGOMG4OMQwmjghRBCvRjjHbDrv5cuWbWWkS++z7s3Xc6GjUWM+XwWYz6fxa9OP5h9dm/Hz04ZSuGmIv740Gg+nbWIOrWy+e6x+3L2dQ8x4uhBWx3v+kuOobgkMurDKdzy9NsA/P3JMfzn52dwwWF7Ubd2Nmddl+iEmzR3KT86YX/uGPUBdWpls2/P9kxLFoLPP2wvXvl4Gkvzvsk/qyrK8nXreGT8R/zvwospLC7iwzlz+XDu3O2Oz8nK4sy99uanTz3B6QP22mr/X4efSI8WLfhgzmzenL755WAtGjSgVW5DPp4/D0h0+S5d+1WRZ9nafJrVq0deQQGZGRns3rw5U5cuZWjXbjSv36CCnrHKa8matdw15kPe/OUICjcVMXbabMZOm8Ownl1YsiafLxYt22x8i9wGm3XLLs5bS8vcBsAiAO6+6GT6tmvFW1NmMeqzRCGvV+vmtGrUgNe/mMnFBw7c7Hi1s7J44vvnUFxSwr/f+GCrjtrD+nTj3elzSwvCSp0BrXdn/MIpm23r3KQ1+YXrWb5uNQAL1yxnjxZd+HjhVBrlNKBdw+Y0ymnAXBLTYZzZ7zBijExYPJ2XpyWm5Bk19T0uG3QiB3TsR63MbG57/8nSYx2x+yDemPkxtTKz6Nq0LYvXrqBedg4FmwpLp95YvWEtDXPqVdGrIH0z5r3paa+2nVhZsJY5q7ffwDCofVdmr1xGUcnX+9BRu459Ordlef56Zi9fXbqtf4dW/PWMI2nTJJefPPCCXbY1zLS5Szl04O68Om4qRw3pSatmiYsbWjRtwCdTF5SOW7xiDS2a5JK4oEI1RYcmjRnQrg2XH7QfG4uKuenVN5m0aEmqw5I2s92ibQihIfAL4AckOgFuBq6LMW673a/85ys9Z4zx0xDCQcArIYSdXh4WQhhBIommyaATqL/7Pt8ilNTIrZvD4QO6sf+Vt7FmfSG3ff9EThzSm6zMDBrWy+GEa+6jX+dW3Pb9E9j/yn/xk5MO4M5RH7C+cNNWx7ri9mdYsmot9XJqcfsPTuKk/frwxNufc/y+vXhszGfcMeoDBnRtw9+/cxyHXXUHYz6fRb9OrXjiN+exMn8946cvpKikhOaN6nPMPj04/U//3UbEqkr1a9dmSOcunHnfPawtLOR3Rx3Dod178OqUL7Y5/oLB+/LYJ+PZsGnrnw+Anz/9JNmZmfzfEUeyZ9t2fDTvqwLwwbt3583p00oLKmEbHyV9mdb+ftSLXH7AULIzM/lw7hznpEyB3Dq1OaRXV4b99Q7WFBRyy9nHccKAXpwzeE8uuOvRrcZv65PBsp24F939OLWyMrnxjGPYt0t73pkxh6uOPZhfPPriNs8/9C//Zmn+Oto1acj9l57G1MXLmLsyr3T/sf168ui4T7/9E9W3khky6N2yM89+8c5m2/dq3X2zQu778ybSon4Trtz/TFYWrGHWqkWUJP9f/+fjUeRtWEftzGwu3PsYBrbpwbgFXzCgdXc+mD+JN2Z+TMdGLTmn/+Fc9+YDTFk+l/aNWvCj/U5j7cYCZq9elPi9soPfKfrm0uRD/11Ouue9e114Gl2GDfkWoVRftTKzOLHPPvzxtSe3O6Ztwyacted+/Om1p6ouMKWd4/fqyTPjN1+v45M5izj8unvo0qIJN5x1NG9Mnvm1ryZS9fWL257ltxcdwQ9OPZBXx01lU/LfflvvpdEspcbJzMigQU4O59/zEL1bt+S6k4/luFudYiedmPfuuNN2FtAQeJnEwguLgMYhhMbbGhxjLM/M3R+RWMDh8TKPm55MYF8DdtiCE2McCYwE6HDen6vlb9X9e3dk3rI8VuYnWu9HfTiFvbq1ZdHKfEZ9mPiDesLMRZSURJo0qEP/Lq05amB3fnX6weTWzSHGSOGmYu579SOWrEpcmrpuw0aefnci/Tu35om3P+f0A/tx3vX/A2D89AXUzs6kSf26rMhfz63PvsOtzyb+mL/lu8cze/Eq+nRoQYfmjXnzb5cBUKdWNm/+7TKG/uz2qn55ary92rVn8Zo88goSPx9jZkynT6tW2y3a9mzRkqFdu/Gd/Q6gfu3aycuTi3nq0wmlYzYVF/POzJns17nzZkXbYbvvzs2vf7XY3bK1a+nfpm3p97vVb8AnCxKLeUxavIgrHk8UBvdu3552jbf5a0CVaEjXDsxfmcfKdYmfjZcnTuPkvfrQtklDnv3R+QC0zG3AUz88l5NvfYDFefm0avRVR3TLhvVZkpxO4Usbi4p5bdIMDunVlQnzFtGtRVMeGHE6ALvVr8ft55/IZfc9yecLlrA0P3n56co8Ppg5j16tW5QWbRvVzaFv25Z87z9PVfbLoJ3o2bwj8/OWsnbjV1PsZIRA31ZduX7MQ6XbSmLkqUlfzW99xZBTWZbsws3bkPi3LizexPgFU2jfuCXjFnzBoPa9+ff7TwEwe/VisjKyqFerDms3FvDK9HG8Mn0cAOfueSTL1q1m3caC5KJlgZIYaZRTnzUbvJpDaSut897TH7i5Wua9FaFFg4Y0r5/LX485G0jMbfuXo8/iqhcfJm/DeprUrc+VQ4/ltndeZsnavJ0cTbuqzIzAEX27cdz1W8+/DzBjyUoKNm5i91bN+GyenXQ1xcwFK7jg94k5/zu2asLBeyWmeFu8Ip9WTb/67Kxl01yWrszf5jG061qav5bRUxJXo05cuDiRr9atw+r1BTt5pFR1dlS0bZT8egRw+A7Gfak8E0j9Btgq+Y0xzgkhHAhcUo5jVGsLV6xhzy6tyamVxYaNRezXuyOfzVrE5LlLGdKrA+99MZdOLZuQnZXJyvwCTv3jA6WP/dGJ+7N+w0bue/UjMjMCuXVzWLW2gKzMDA7p35WxE2eXnmO/Xh15bOxndG3dlNrZWazIX09GCOTWy2H12gJ6tNuNHu2a89bnz1JcEhn4w3+UnmfSyCst2KbI0vx8erVsRe2sLAqLihjQrh1Tlmw/sfyykApw/qDBFGzcyFOfTiAnO5u62dmsXJ/4dx/UsROfLvzqcp92jRrToHYOExcvKt02bs5sLtl3CPVrJ+ZD3rt9e+54ZywAjerUYXVBAdmZmZy51948MO6Din7q2olFq9fQv30rcrKz2LCpiH27dODlidM4945HSse8/otLOekfD7BqfQGvTZrBjWcewz1jPqJ5bn06Nm3Mp/MWU7dWNvVq12JZ/joyMwJDu3fiw9kLWFu4kUG/v630WA+MOJ2/PP8Gny9YQm6d2mzYWMTG5AT9Azq04Y43x5WOPWqP7rz+xczSObmVOgNa7874BVM327Z7s/YsWbuydA5agOyMLEKAjcVF7N6sPSUxsmTtSjJCoE5WbdZt2kBGyKBXi07/396dx9k1348ff70zM5nsiQQJWSQiUgSxxb4vIYSiilbpQtCq6r5oUa2vUj9U1RJLbUVRSyxBbLHFVkISEkKQfRXZI5n5/P64N2MyJgtN5p6b+3o+Hucxc88595z3vXMeZ973c9+fz4d3p+eGUJm9cC6br9+ZVya8Q/sW61FRVsa8zxYSBE0rKlmwZBEbtVyfjVu2Y8z0jwAYO2MC227UgzcmvctOnbdkxFRnZlZmtcn/NO/NmPGzZzLgnutqHv/969/jd4PvYO7iRTSraMxv9j2cO954kTHTJ6/kKFrX7bH5JnwwdRZTPv38f12ntq2ZPHsOVdWJjuu1YtMN2zJh1pyVHEXrmnatmjFzzgIi4Ixv7Mntj/8XgCdfe5fLzjqSGx98iQ3btqTrRm15c+ykVRxN65qnx4xlp65d+O9HE+jStg0VZWU22CpzVtZo+701fbKU0ssRsV1EfAN4BFgMnA50B55MKZ2/ps+ZNcM/mMQjr47h4fO/T1V1NaM+msrtTw8npcRfTz6Ux//vZJYsreLnAx9a6XEal5dz6y+PpbysjLJGwfOjPuSOZ4YD8Oc7nuQv3+/HDw7eiZTg59c9DEBFeSPuOfsEAOYuXMxZ1wxyXKeMeWfqFIaOfY+Bx32LqlTNe9On89CokeyxaXfO3GcfWjdtyoWHH8H702fwqwdW3E2waXkFF/Q/nIqyMsqiEa9PGM+gEZ93Xd+vZ0+eenf5MS/nLl7Mra++zDXHHg/ALa+8zNzFudl3j91+B3bttikRMGjECN6YMGEtvHqtzJvjp/DoiHe5/8ffoao68fakqfz75RUPRzB22kwGvzWGwT/7HkurqznvgSepTommjSu45sQjaVyeu3cMe/9j7nh5+ErP3X2DdvzpqAOpTolGEVz7zMuMnTazZvuh236Na595eU29VH1FFY3K6blBF+4asfyEkvU15LasbMppOx9JSonZi+Zx2/DHAChvVMZpO3+dskZlRATvzviYYR+PBOD+t5/j2G32Z+9Nt4MEtw8fAuS6lp252zcAWLT0M24b/ljNsCsPjn6eE7c/hH49d2Xip9N5afyotfoelAT7ia0t5r0ZceYeB7Nl+060rGzCVUd+n7vfepmn36//3nFwz21p37INR2/dh6O3zg2bdsGT9zFnsR+611VXnHgYu3TvzHotmjLsvNO4bPAL3PXyCPpv/8WhEXbatCOn738US6urqa5O/OGeIXwy32tjXXX5T49k5602Yb2WzXh+4E/427+H0rxJY044eEcAHnt5NPc8leuN+N746Tzy4ts8+rfTqKpKnHfdYKr9XLxO+78j+7FDl060adaUwWeewjXPDuOB4SM5r39f7hpwIkuqqjh30KM1+z90xg9oXllJRVkj9unZnR/e/h/GzZi1kjNorTDvJVJquJtTRPyAXJezRG423XuBzuQaj48DfpJSunF1jlWswyOoYWy6Y9NCh6CMmjDJWUC1YofuUVHoEJRRlx/2k0ykjf0GXl7Q/OeRAWdl4n0oBmsy7y3l4RG0ci+/5gSgWrGy8YsKHYIyqvV2Tg6rFXv99z/LRL5n3rvyStu14ZfkZtIFeAc4M6X0IkBE3ANcDKxW8ipJklRq6ptkUJll3itJkvQVmfc2fKPtRimlMQARsRAYVmvbEGCTBo5HkiRJWhvMeyVJkvSVNWrg882PiGV9T29Ky4/N0BSobuB4JEmSpLXBvFeSJElfWUM32j4JbAaQUvpRnW2HASueVUeSJKnERYEXfSnmvZIkSV+ReW8DD4+QUvrOSjY/RS65lSRJkoqaea8kSZL+Fw09pu0KpZSmFzoGSZKkTHNGhnWCea8kSdIqmPc2+PAIkiRJkiRJkqSVsNFWkiRJkiRJkjIkM8MjSJIkaeXsJCZJkqRSYN5rpa0kSZIkSZIkZYqVtpIkSUXC+RgkSZJUCsx7rbSVJEmSJEmSpEyx0VaSJEmSJEmSMsThESRJkoqE3cQkSZJUCsx7rbSVJEmSJEmSpEyx0VaSJEmSJEmSMsRGW0mSJEmSJEnKEBttJUmSJEmSJClDnIhMkiSpSDghgyRJkkqBea+VtpIkSZIkSZKUKVbaSpIkFQkLDiRJklQKzHuttJUkSZIkSZKkTLHRVpIkSWtMRPw0IkZFxMiIuCMimtTZHhFxRUSMjYi3ImL7QsUqSZIkZZWNtpIkScUiCrysKryIjsCZwI4ppV5AGXBcnd0OAXrklwHA1V/uTZAkSdI6L+N5b0Ow0VaSJElrUjnQNCLKgWbApDrbjwBuSTkvAW0iYqOGDlKSJEnKMhttJUmSikShCw4iYkBEvFZrGVA7vpTSROAS4GNgMvBpSunxOi+jIzC+1uMJ+XWSJEkSUPi8NwvKCx2AJEmSikNKaSAwcEXbI2I9cpW03YDZwN0RcUJK6bbau9V36DUZpyRJklTsrLSVJEnSmnIAMC6lND2ltAS4F9itzj4TgM61Hnfii0MoSJIkSSXNSltJkqQiEVnpq7ViHwO7REQzYCGwP/BanX0GAWdExJ3AzuSGUJjcsGFKkiQpy4og713rbLSVJEnSGpFSejki7gFeB5YCbwADI+K0/PZrgEeAfsBYYAHwvQKFK0mSJGWWjbaSJElFohgqDlJK5wLn1ll9Ta3tCfhRgwYlSZKkolIMee/a5pi2kiRJkiRJkpQhNtpKkiRJkiRJUobYaCtJkiRJkiRJGWKjrSRJkiRJkiRliBORSZIkFQknZJAkSVIpMO+10laSJEmSJEmSMsVGW0mSJEmSJEnKEIdHkCRJKhL2EpMkSVIpMO+10laSJEmSJEmSMsVKW0mSpCLhhAySJEkqBea9VtpKkiRJkiRJUqbYaCtJkiRJkiRJGeLwCJIkSUXCbmKSJEkqBea9VtpKkiRJkiRJUqbYaCtJkiRJkiRJGWKjrSRJkiRJkiRliI22kiRJkiRJkpQhNtpKkiQViYjCLpIkSVJDyHreGxE3RsS0iBhZz7ZfRESKiPVrrfttRIyNiDER0Xd13gMbbSVJkiRJkiRp9d0EHFx3ZUR0Bg4EPq61bkvgOGCr/HOuioiyVZ3ARltJkqQiEQVeJEmSpIaQ9bw3pfQsMKueTZcBvwJSrXVHAHemlBanlMYBY4E+qzqHjbaSJEmSJEmSlBcRAyLitVrLgNV4zuHAxJTSm3U2dQTG13o8Ib9upcq/VMSSJEmSJEmStA5LKQ0EBq7u/hHRDDgbOKi+zfWdYlXHtNFWkiSpSDgZmCRJkkpBEea93YFuwJuRC74T8HpE9CFXWdu51r6dgEmrOqDDI0iSJEmSJEnSV5RSGpFS2jCl1DWl1JVcQ+32KaUpwCDguIiojIhuQA/glVUd00pbSZKkIlF8BQeSJEnSl5f1vDci7gD2AdaPiAnAuSmlG+rbN6U0KiLuAt4GlgI/SilVreocNtpKkiRJkiRJ0mpKKR2/iu1d6zy+ALjgy5zD4REkSZIkSZIkKUOstJUkSSoWWe8nJkmSJK0J5r1W2kqSJEmSJElSllhpK0mSVCTCigNJkiSVAPNeK20lSZIkSZIkKVNstJUkSZIkSZKkDHF4BEmSpCJhLzFJkiSVAvNeK20lSZIkSZIkKVOstJUkSSoSTsggSZKkUmDea6WtJEmSJEmSJGWKjbaSJEmSJEmSlCEOjyBJklQk7CUmSZKkUmDea6WtJEmSJEmSJGWKlbaSJElFwgkZJEmSVArMe620lSRJkiRJkqRMsdFWkiRJkiRJkjLE4REkSZKKhL3EJEmSVArMe620lSRJkiRJkqRMKdpK2/L5VYUOQRn2yezqQoegjPpsUSp0CMqwR55fWugQlFGXH1boCHKckKE0vTvOvFcr4E1BK9F8m2aFDkEZ1bii0BFIq+a/OCttJUmSJEmSJClTbLSVJEmSJEmSpAwp2uERJEmSSo7dxCRJklQKzHuttJUkSZIkSZKkLLHSVpIkqUhYcCBJkqRSYN5rpa0kSZIkSZIkZYqNtpIkSZIkSZKUIQ6PIEmSVCTCfmKSJEkqAea9VtpKkiRJkiRJUqZYaStJklQkLDiQJElSKTDvtdJWkiRJkiRJkjLFRltJkiRJkiRJyhCHR5AkSSoSTsggSZKkUmDea6WtJEmSJEmSJGWKlbaSJElFwoIDSZIklQLzXittJUmSJEmSJClTbLSVJEmSJEmSpAxxeARJkqQi4YQMkiRJKgXmvVbaSpIkSZIkSVKmWGkrSZJUJKw4kCRJUikw77XSVpIkSZIkSZIyxUZbSZIkSZIkScoQh0eQJEkqEvYSkyRJUikw77XSVpIkSZIkSZIyxUpbSZKkIuGEDJIkSSoF5r1W2kqSJEmSJElSpthoK0mSJEmSJEkZ4vAIkiRJRcJeYpIkSSoF5r1W2kqSJEmSJElSplhpK0mSVCSckEGSJEmlwLzXSltJkiStIRHRMyKG11rmRMRZdfZpHREPRsSbETEqIr5XoHAlSZKkzLLSVpIkSWtESmkM0BsgIsqAicB9dXb7EfB2Sql/RGwAjImIf6WUPmvQYCVJkqQMs9FWkiSpSBRZL7H9gfdTSh/VWZ+AlhERQAtgFrC0oYOTJElSdhVZ3rtWODyCJEmSVktEDIiI12otA1ay+3HAHfWsvxLYApgEjAB+klKqXgvhSpIkSUXLSltJkqQiUegJGVJKA4GBq9ovIhoDhwO/rWdzX2A4sB/QHRgSEc+llOaswVAlSZJUxAqd92aBlbaSJEla0w4BXk8pTa1n2/eAe1POWGAc8LUGjU6SJEnKOBttJUmStKYdT/1DIwB8TG68WyKiPdAT+KCB4pIkSZKKgsMjSJIkFYli6CUWEc2AA4FTa607DSCldA3wJ+CmiBhB7iX9OqU0oxCxSpIkKZuKIe9d22y0lSRJ0hqTUloAtKuz7ppav08CDmrouCRJkqRiYqOtJElSkXBCBkmSJJUC817HtJUkSZIkSZKkTLHRVpIkSZIkSZIyxOERJEmSioS9xCRJklQKzHuttJUkSZIkSZKkTLHSVpIkqUg4IYMkSZJKgXmvlbaSJEmSJEmSlCk22kqSJEmSJElShjg8giRJUpGwm5gkSZJKgXmvlbaSJEmSJEmSlClW2kqSJBUJCw4kSZJUCsx7rbSVJEmSJEmSpEyx0VaSJEmSJEmSMsThESRJkopEOCODJEmSSoB5r5W2kiRJkiRJkpQpVtpKkiQVCesNJEmSVArMe620lSRJkiRJkqRMsdFWkiRJkiRJkjLE4REkSZKKhPMxSJIkqRSY91ppK0mSJEmSJEmZYqWtJElSkbDgQJIkSaXAvNdKW0mSJEmSJEnKFBttJUmSJEmSJClDHB5BkiSpSDSyn5gkSZJKgHmvlbaSJEmSJEmSlClW2kqSJBUJCw4kSZJUCsx7rbSVJEmSJEmSpEyx0VaSJEmSJEmSMsThESRJkopE2E9MkiRJJcC810pbSZIkSZIkScoUK20lSZKKhAUHkiRJKgXmvVbaSpIkSZIkSVKm2GgrSZIkSZIkSRni8AiSJElFwgkZJEmSVArMe620lSRJkiRJkqRMyUSjbUT8MiKaFToOSZKkLIsCL/rfmfdKkiStmnlvAw+PEBH7rWDTr4H3I2J2SumphoypEL53WB++ecB2kBJjPp7Or64cxCU/PpxuG7cDoFXzJsyZv4j+v7i+5jkbrd+Kxy4/jSvuepbrB70EQK9NO3DxGYfTpHE5z7w+lvNvfByAs797ILv02gSAppUVtGvdnO1OvKTmOBeefhgbrd+KlBI/uOBOJk7/lDv/dCLNmzYGoF3r5rw1dhKnXXR3g70n+twJO2/Pkdv1IgHvTZvBuQ88xsl77sw+PbuTUmLW/AWc88BjTJ83H4Dv774TX99ua6qrq7nosacZ9v5HAFx/4jGs36I5i5cuBeC02/7DJwsW0qFVS/709YNpWVlJo0bBFU8+z/NjxwHwj28dxTadOvDGx5M48877a2Lq060zPz1gLxpFsOCzJZzzwGOM/2R2Q74tAn6w9w4ct8s2JBKjJ8/gl7cPZvHSKgAG7LsTZx+xD73PvpJP5i+kvFEjLjquL706tae8rBH/eXUUVz3x8nLHu/7kI+nSrjUHXXQTABu3acml3+5Hq6aVNGrUiIseHMrT7+SujQ8u/TmjJ88AYNInczj5+vsA6Ny2NX8/6TDaNGvKyAlT+eltD7OkqrqB3hHV9t09tueYnbYmJXh3ygx+c8+jfJa/Pr6/54785tC92fn8q/hkwUIATt2nD9/YsRdVKfHnQU/x/Hsf0aSinCu+3Z8ubdtQlap5+p0PuOTR54Dc9XHhN/qyXvNmfLpwEb+48xGmzpnHFhttwHlfP4AWTRpTVZ245umXeeStMcvF9ofD9+OoHbZiu3P/3rBvilRA5r1fzbn9D2KvHpsya/4Cjrn2lpr1x+3Um2N36k1VdTXPvTeOvz35HDt368KZ++9JRVkZS6qquPyJZ3n1w/EFjF5r28XH9WW/Lbszc94C+l58EwBXnngYm27YFoBWTSuZs3Ax/S65hW27dODCbx4E5D58X/7Yizw2YmyBItfa9sfD+7L35rl7x1FX31yz/vg+23H8Tr1Zmr93XPbEs/TauAPn9D8QyF0bVw8dxlOjvTbWZWcfchC7d9+UTxYs4Ns35v63nLz7rhy+7dbMXrAAgKuffYFhH4yjrFEjfnfwgfTs0J7yRsEjI9/mlpdeLWT4KmENPabtE8AkYEmd9W2Ay4GlwKYNG1LDat+2JSf160Pfs65h8WdLueLnR9F/j60489L7avb57UkHMHfB4uWe9/vvHcjQN5b/R3L+gEM4+5qHeePdidx49nHsvV13hr7xPhfcNKRmnxMP2ZEtu3WoeXzJj4/gqv88zwtvjaNZkwqqqxMAx/3h86T4H788mideeXeNvm6tng1btuD4Pttx1NU3s3jpUi4++lAO7tWTm198jaueeRHIJR4D9tqFCx55kk3Xb0vfrb7G0VffzAYtm3PtCd/giH/8k+qU+7v+7r7BvD156nLnOGXPnXl81Bju/u9bbLp+W6781pH0u+IGAG4e9ipNKir4xvbbLPecs/sdwFn/foBxM2bxzR235ZQ9d+acQY81wDuiZdq3bsH39tqe/f/yTxYvWco/TupP/+2/xj2vjGKjNi3Zo+cmTJj1ac3+h/buSePyMvpefBNNKsp54rffZ9Dr7zBh1hwADt6mBwsWf7bcOX580K48NHwMt70wnB7t2/HPU49mj/MHArBoyVL6/fVm6vpN/7244Zn/8uAbo7ngmAM5dpdtuO2F4WvvjVC92rdqwXd2255+l97E4qVLufxbh3Hotl/jvv+OokPrluzeYxMmfjKnZv/uG7bl0G170u+ym2nfqjk3nXwMB11yIwA3PPsaL38wnoqyRtx88jHstXlXnn33Q37db2/uf/1t7nv9bXbp3plfHLwnv7xrMAuXLOVXdw3mo5mz2bBlc+798Qk89+6HzF2U+z/Wq2N7WjWpLMj7IhVYyee9X8WDb47i368O509HHFyzbsdNOrPP5t355rW3sqSqivWaNQVg9sKFnHXn/UyfN5/uG7Tjqm8dTd+/DSxU6GoA97wyipuff4NLv9WvZt0ZtzxU8/vZh+9T8/9nzOQZ9L/0VqqqExu0as7gX5zEE6Pepyr/+UfrlkHDR3LnK29wwZGH1KzbqWtn9u3ZnaOvuYUlVVW0zd87xk6bwfEDb6MqJdZv0Zx7TjuRoWPepyp5bayrHh4xinteH845hx683Po7X/svt7/y3+XW7d9zcxqXl3HCjbdQWV7OnSefxJC3xzB5zhykhtbQwyP8EZgFnJ5S6rZsAaYDO6aUSiJxLS9rRJPG5ZQ1Cpo2rmDqrHnLbT90ty156PmRNY8P7LM546fO5r3xM2rWbdCmBS2aVfLGuxMBuG/oCA7s0/ML5+q/x1Y8+PwoADbrtD7lZY144a1c5dyCRUtY9NnS5fZv3qQxu/bqypBXxnzhWGoYZY0aUVleTlkETSoqmD53PvM/+7xxrWlFOcvSiX16duexUaNZUlXFpNlzGP/JbHp17FD/gfMS0Lwy14DSokkl0+fOr9n2yrjxX2jIA0gp0bwyV4ndorIx0+fN+8I+WvvKGjWiSUWte8enub/dOV/flwsHDaV2mplINGtcQVmjoElFOUuWVjF3Ue5v26xxBSfvsyN/f/yl5Y6fgBZNcn/nlk0rmfbpqv/Ou/XowiNv5u4X/3l1FAdtvdn//kL1lZTXvj4qypk2J/f3+91h+/DXwc+Sal0hB2y5GQ+/OYYlVVVM+GQOH82czTadO7BoyVJe/iBXpbakqppRk6bRoXVLADZr344Xx34MwEvvj2f/LbsD8OGMT/ho5mwAps2dz6z5C2jbPPehqFEEv+q3FxcPfrZB3oNSEFHYRV+Kee9X8PrHE/l04aLl1h2z4zb888VXWVKV6z2wrMfAmCnTa3oevT99Jo3Ly6goK2vYgNWgXvlgAp/OX7TC7Yf23pxBr78D5L5wXtZAW1levtz/Qa17/lvPveObO27LDc+/UnPvmJW/dyxaurSmgbayvIxkY+06b/iEicxZuOJ7R22JRNOKCsoiqCwvZ0lV9XKfx9VwzHsbuNI2pfTHiLgVuDIiTgV+klL6uCFjKLSps+Zy/aBhPHfNmSz6bAnPvzmO59/8oGb7Tlt2YcbseXw4+RMgN7zBgK/vxknn/4uTD9+1Zr8O7VoyZebcmseTZ86hfduWy51r4w1a06l9G4aN/BCAbhu3Zc78RVz1y2/QacM2vDhiHBff9lRNtS3AQTv35MURHzJvoTelQpg2dx63DHuNR886mUVLlvLSBx8x7IPccAdn7Ls7h22zJfMWL+aUW3JDV2zYsiVvTZxc8/ypc+axYcsWNY//eHhfqlM1T7zzHtc9l+saf83QYVz97aM5vk9vmlZUcOpt96wyrj8+NIQrjz+SxUuXMm/xZ5x4wx1r8mVrNUz9dB4Dn36VYeeeyqIlS3lu9Ic8N+ZDDtiqO1M+ncc7k6Yvt/8jw9/lwF6b8er5P6RpRTnn3/80ny7IJSo/77cH1z39GguXLF/8dfmjL3Dracfw3T23p1njCr511V012yrLy3nwZ99haXU1Vz/5Mo+PGMt6zZsyZ+Himg9Ek2fPpUPrFqjhTZ0zjxuee5VnfnMKi5cs5fn3PuKF9z5ivy26M3XOPEZPXv76aN+qBcM//vzeMeXTubRvtfzfrmWTSvb72qbc8sLrAIyePJ2+W/fglhfe4KCtNqNFk0raNGvC7AWfJ8DbdOpARVkZH8+aDcAJu/XmqXfeX+7LIalUmPeuOZu0XY/tunTkR/vuzmdLq7h0yNAv9CQ6YIsejJkyraZxRqWnz6admDFvAR/OmF2zrneXDlx8/MF0XK8VP/vXI1bZlphN2q3HDpt04sz99mDx0qX8vyFDGTUpd+/YumMH/nh4XzZu04rf3TfYKtsSdcz2vem31Za8M2UqVzw1lLmLF/PUmPfYq0d3HjrjVJqUV3D5U88wZ9HqNfhKa1qDT0SWUvogpdQPuB14IiJ+D6zWV+IRMSAiXouI1+aMK84xRVo1b8IBO/Vknx9eyW6n/I1mTSo4Yq9eNdtrV8YCnHXsXvzzoZdZsKhuz7ovqvvt8WG7b8mjw0bXNMqWNWrETlt05sJbnuDIX99A5/ZtOHrfbZd7Tt3zq2G1bFLJPj27c+gVN3DQZQNpWlFBv623AODKp1/g4L9dxyMj3uG4nXoD9X/7syzf+N19gznm2lv43k3/ZvsuHTlsm9xxDu7Vk0FvjqLv5ddxxh338eevH7LKQbZP2Hl7zrjjPvpefh2Dho/i5wftvYZesVZXq6aVHNRrM/Y4fyB9zrmappUVHLXTVpxx0C5cOvj5L+zfe5ONqK5O9Dnnavb403Wcsu9OdG7Xmi07bkjX9dvw2Ij3vvCcw7ffgnteGcku513Ddwf+h8tP6Fdzje36x2vof+mtnHnrQ5xz5H50adem3uvGfLcwWjWtZP8tN2O/i69nj/+7lmaNK/j69lty+r4787fHX/jC/lHPzaP2n66sUXDZ8Ydyy4tvMD4/7MZFDw+lT7fO3H/md9hp085M+XQuS2uNX7xBy+ZcfOwh/Obux0gJNmzZnEO27smtL76xxl9vKXNChuKypvLeGa8NW6txZl1Zo0a0atKEE2+8g8ueeJaLjz5sue2bbtCOM/fbkz8/8kSBIlQWHL791xj0+ujl1g3/eAoHXXQTh196G6fvvzOV5VZil5LyRo1o2aSSb99wO5cOeZZLvtG/ZtuIiVM46uqbOf66f/GDPfrQ2Cr9knPvG29y9LU38p1/3srMefM5c7/cZ9ytNupAdXXisH8M5Khrr+dbO+3Axq1bFzja0mTeW4BG22VSSncD25Eb12sCXxzvq77nDEwp7ZhS2rFVt53WcoRrx+7bdGP8tNnMmrOApVXVPPbSaLbv2QnIfUjuu3NPHn7h7Zr9t+3RkV9/Z3+GXn0G3zusD6cftTvfOWRHpsycS4d2n1fWbtSuFdPqDLNw2O7LN8BOmTmXUeOmMn7qbKqqE0NeeZetao1326ZFU7bpsTFP//eLjTlqGLt068LE2XP4ZMFCllZX8+To9+jdaaPl9hk8cjT7b9EDgKlz5tKhVnVc+1YtaoYumDY393PBZ0sYPHI0vTbOHefI3r14/O1cd/a3JkymsryMNvnxneqzXrOmbN5+A0ZOnALAY6PGsG3njdfQK9bq2mPzTRg/61Nmzc9dG4++9R7f7NOLzm1bM/hX3+X5cwawUeuWPPyLE9mgZXOO2H4Lnhk9jqXV1cyct4D/jpvINp07sH3Xjdm6cweeP2cA95z5Lbpt0JY7zzgWgGN33pqHhueujdc/nERleTltm+cmOJ82J1cpOX7mp7w0djy9Om3IrPkLadW0krJGuX9pG7VpydQ5Dp1RCLttlhvT+JP89fH4qPc4aoet6NS2NYPOOpGnfn0yHVq15L4zT2D9Fs2Y8ulcNmrz+f+QDq1b1gynAPCnow7iwxmfcHO+yhZyQx+ccdsgvn7FrVz2WO6Lgnn54VSaVzZm4HeP5PLHX+DN8bkK3i033pAu7dow5Jc/4Klfn0zTigqG/OL7DfF2SJnzv+a96++466p2X6dNnTOPJ0fn8tNRk6ZQnVLNuLYbtmzBpccczh8eeJQJn3xayDBVQGWNgr7b9OChN0bXu/39abNY+NkSNt9o/QaOTIU0dc5cnnwnd+8YWefescy4GblrY7MNvTZKzawFC6hOudK3B94cwZYb5dpGDtryawwb9yFV1dV8smAhb02cxBYbtS9ssCpZDdpoGxG7R8RG+d8rgd8Ay2bW/UlENG7IeAph0oxP6b15R5o0zo1MsdvW3Xh/Qm6s2t236cb7E2cyZdbnwx4c94db2Pv0K9n79Cv550OvcPW9L3Dr4NeYPnse8xd+Ru8eHQE4cu+teeLVz8eh7bZxW1q3aMLrYybUrHvr/Um0btGEtq1yjTC79urK2Amfd5k9ZLctePq1sXy2xG5lhTJ5zly26diBJuW562Pnbl34YMYsurRtU7PP3pt3Z9yMWQAMffcD+m71NSrKyti4TSu6tG3DyIlTKIugTdMmQO4b5j17bMrY6TNqzrFzty4AdFu/LY3Ly2vGhqvPnIWLaNGksiaGXTbdpOb8ajiTZs9lu002pklF7trYvUcXHn3rXXb4w1Xscf5A9jh/IJM/ncuhl9zC9LnzmTh7Drv1yP2dmzauYLtNNuL9qbO47YXh9Dn3avY4fyDfuOJ2xk2fxXFX/jt/jjnsvnnuOZu1b0tlRTkz5y2gVdPKmuqD9Zo3ZcduHXlvykwAho0dT79tc+NpH73TVgxxVuaCmDR7Dr27bFRzfezavQtDRo1l1z9fzX4XXc9+F13PlDlzOfKK25gxbwFPvv0+h27bk4qyMjqt14qu7drw1vjcFzNnHbQ7LZs05oKHnl7uHOs1a1pTeX3qPn2457Xc2OsVZY246juHc//rb/PoiM8nsXxmzDh2v+CamvMvXLKEA/OTnemraxSFXbT6zHvXnGfGjKVP19z/py5t21BRVsYnCxbSorKSvx9/JH9/6nnenDCpwFGqkPbYfBM+mDqLKbXG4+/UtnXNF8sd12vFphu2rZmQVaXhqdFj6ZP/3LNJ2/Vq7h0d27SiLJ/UbNS6JV3Xb8uk2V4bpaZd8+Y1v++9+WZ8MCP3eXnqnLnsuElnAJpUlNNr4434aKaffwvBvLeBx7QFbgL2yv9+CbmKgz/nH58FtAZ+2sAxNag335vEo8PeYdAlJ1NVVc2ocVO5c0iu6+hhX3JognMGDubiM/pT2biCoW+M5ZnX36/Z1n+PXjz0wvLHqq5OXHjzE9x63rcJgpEfTObfT3zebfWw3bfi2vu+2I1WDWfkxCk88c573DHgBKqqqxk9ZRr/eX0EFx7Vj67t1qM6JSZ/OocLHn4SyE26MeTtMdx7+klUVVdz4eCnqE6JJhXlXPXtoykva0RZBC+P+5h7Xx8BwKWPD+Wc/gfy7Z13ABLnPvBYzflv/O436dquLc0aN+axs07hvAcfZ9j7H3H+g0P4f8ccTnVKzF20iHMHPV6It6ekDf9oMo+8+S4P/+JEqqqrGTVhGre/+NYK97/luTe45FuHMOTX3yMC7n555BfGNa3rz/c/w1+O7csP9t6RBPz89sEA9Gjfjv/75kFUp0SjCK5+4mXem5prtL3wwaFceWJ/ftFvD0ZNnMa/Xxqxxl6zVt9b46fw2Ij3uP/HuXGH35k0jTtfXvH1MXbaTB55610G/+y7LK2u5o8PPEl1SrRv1YIf7rcL70+byf0//g4Atw0bzt2vjqDPpp34+cF7klLitQ8nct79ufvQIVv3ZMdunWjTrClH7bAVAL+5+1HeWcX1JpWAmyjxvPeruPDIfuywSe6e8uhPTuGaocO4f/hIzju8L3efeiJLqqo4Z9CjABy3U286r9eGU/bcmVP23BmA0//1n5V+Ga3idsV3DmWXzTqzXvOmDDv3VC579AXuenkk/bf7GoPqVNnutGlHTt//SJZWVVOdEn+45wk+me+1sa666KhD2bFr7t4x5KcDuOqZF7nvjZGcf0Rf7j39JJZUVfH7+3O57XZdOvL93fuwtLqalBIXPPwksxd6bazLzu/fj+27dKJN06YM+uEpXPf8MLbv3Ike7TeE/GfsvzyWG2LnnteH8/t+fbn9BycSBA+NGFVTACU1tGjImRIjYl5KqUX+94+B3imlWfnH6wGjUkqr1e+6+9F/duRErVDLbZsVOgRl1CezrCTXilU2KdioQcq4d//y80x8337BU1cUNP85e78zM/E+FIM1mfdu96dLzXtVr09mVa96J5WsVm28Zat+zZp4bWjFXvr1zzJxgZj3NvyYth9HxLLBaBezfKVvObDigTUlSZJKnBMyFBXzXkmSpK/IvLfhh0c4H7grIs4Hrgceiogr8tt+TG5mXUmSJKnYmfdKkiTpK2vQRtuU0p0RMRM4D9gRqABuITeL7j+BPzVkPJIkScUksvK1v1bJvFeSJOmrM+9t+EpbUkpDgCER0QhoDyxMKc1u6DgkSZKktcm8V5IkSV9VgzfaLpNSqgYmF+r8kiRJUkMw75UkSdKXVbBGW0mSJH059hKTJElSKTDvhUaFDkCSJEmSJEmS9DkrbSVJkoqEEzJIkiSpFJj3WmkrSZIkSZIkSZlio60kSZIkSZIkZYjDI0iSJBUJe4lJkiSpFJj3WmkrSZIkSZIkSZlipa0kSVKRcEIGSZIklQLzXittJUmSJEmSJClTbLSVJEmSJEmSpAxxeARJkqQiYTcxSZIklQLzXittJUmSJEmSJClTrLSVJEkqEn7bLkmSpFJg3ut7IEmSJEmSJEmZYqOtJEmSJEmSJGWIwyNIkiQVCSdkkCRJUikw77XSVpIkSZIkSZIyxUpbSZKkImHBgSRJkkqBea+VtpIkSZIkSZKUKTbaSpIkSZIkSdJqiogbI2JaRIyste6vETE6It6KiPsiok2tbb+NiLERMSYi+q7OOWy0lSRJKhIRhV0kSZKkhlAEee9NwMF11g0BeqWUtgHeBX6bey2xJXAcsFX+OVdFRNmqTmCjrSRJkiRJkiStppTSs8CsOuseTyktzT98CeiU//0I4M6U0uKU0jhgLNBnVedwIjJJkqQiYbGrJEmSSsE6kPd+H/h3/veO5Bpxl5mQX7dSVtpKkiRJkiRJUl5EDIiI12otA77Ec88GlgL/Wraqnt3Sqo5jpa0kSZIkSZIk5aWUBgIDv+zzIuIk4DBg/5TSsobZCUDnWrt1Aiat6lhW2kqSJBWJrE/IEBE9I2J4rWVORJxVz3775LePioiha+GtkiRJUhHLet5bf8xxMPBr4PCU0oJamwYBx0VEZUR0A3oAr6zqeFbaSpIkaY1IKY0BegPkZ8SdCNxXe5+IaANcBRycUvo4IjZs4DAlSZKk/0lE3AHsA6wfEROAc4HfApXAkMi1/L6UUjotpTQqIu4C3iY3bMKPUkpVqzqHjbaSJElFosgmZNgfeD+l9FGd9d8C7k0pfQyQUprW4JFJkiQp07Ke96aUjq9n9Q0r2f8C4IIvcw6HR5AkSdJq+ZITMhwH3FHP+s2B9SLimYj4b0ScuHailSRJkoqXlbaSJElaLas7IUNENAYOJ9dFrK5yYAdylbhNgWER8VJK6d01GaskSZJUzGy0lSRJKhJfdVKEAjgEeD2lNLWebROAGSml+cD8iHgW2Baw0VaSJElAUeW9a43DI0iSJGlNO576h0YAeADYMyLKI6IZsDPwToNFJkmSJBUBK20lSZKKRDEUHOQbYg8ETq217jSAlNI1KaV3IuJR4C2gGrg+pTSyIMFKkiQpk4oh713bbLSVJEnSGpNSWgC0q7PumjqP/wr8tSHjkiRJkoqJwyNIkiRJkiRJUoZYaStJklQknJBBkiRJpcC810pbSZIkSZIkScoUK20lSZKKhN+2S5IkqRSY9/oeSJIkSZIkSVKm2GgrSZIkSZIkSRni8AiSJElFwgkZJEmSVArMe620lSRJkiRJkqRMsdJWkiSpSFhwIEmSpFJg3mulrSRJkiRJkiRlio22kiRJkiRJkpQhDo8gSZJUJJyQQZIkSaXAvNdKW0mSJEmSJEnKFCttJUmSioQFB5IkSSoF5r1W2kqSJEmSJElSpthoK0mSJEmSJEkZ4vAIkiRJRcIJGSRJklQKzHuttJUkSZIkSZKkTLHSVpIkqUhYcSBJkqRSYN5rpa0kSZIkSZIkZYqNtpIkSZIkSZKUIQ6PIEmSVCTsJSZJkqRSYN5rpa0kSZIkSZIkZYqVtpIkSUXCCRkkSZJUCsx7rbSVJEmSJEmSpEyx0VaSJEmSJEmSMsThESRJkoqE37ZLkiSpFJj3+h5IkiRJkiRJUqZYaStJklQknJBBkiRJpcC810pbSZIkSZIkScoUG20lSZIkSZIkKUMcHkGSJKlIBKnQIUiSJElrnXmvlbaSJEmSJEmSlClW2kqSJBUJJ2SQJElSKTDvtdJWkiRJkiRJkjLFRltJkiRJkiRJypBIyYF91wURMSClNLDQcSibvD60Il4bWhmvD0lZ5L1JK+K1oZXx+tCKeG0oq6y0XXcMKHQAyjSvD62I14ZWxutDUhZ5b9KKeG1oZbw+tCJeG8okG20lSZIkSZIkKUNstJUkSZIkSZKkDLHRdt3h+CtaGa8PrYjXhlbG60NSFnlv0op4bWhlvD60Il4byiQnIpMkSZIkSZKkDLHSVpIkSZIkSZIyxEZbSZIkSZIkScoQG20lSZIkSZIkKUNstC1iEXFGRLwWEYsj4qZCx6NsiYjKiLghIj6KiLkR8UZEHFLouJQNEXFbREyOiDkR8W5EnFzomJQtEdEjIhZFxG2FjkWSzHu1Iua8WhXzXq2Kea+yykbb4jYJ+DNwY6EDUSaVA+OBvYHWwB+AuyKiayGDUmZcCHRNKbUCDgf+HBE7FDgmZcs/gFcLHYQk5Zn3akXMebUq5r1aFfNeZZKNtkUspXRvSul+YGahY1H2pJTmp5TOSyl9mFKqTik9BIwDTFBESmlUSmnxsof5pXsBQ1KGRMRxwGzgyQKHIkmAea9WzJxXq2Leq5Ux71WW2WgrlYiIaA9sDowqdCzKhoi4KiIWAKOBycAjBQ5JGRARrYDzgZ8XOhZJkr4sc17Vx7xX9THvVdbZaCuVgIioAP4F3JxSGl3oeJQNKaUfAi2BPYF7gcUrf4ZKxJ+AG1JK4wsdiCRJX4Y5r1bEvFcrYN6rTLPRVlrHRUQj4FbgM+CMAoejjEkpVaWUngc6AacXOh4VVkT0Bg4ALitwKJIkfSnmvFoV817VZt6rYlBe6AAkrT0REcANQHugX0ppSYFDUnaV49hegn2ArsDHudsHLYCyiNgypbR9AeOSJGmFzHn1JZn3Csx7VQSstC1iEVEeEU2AMnI3lyYRYUO8arsa2ALon1JaWOhglA0RsWFEHBcRLSKiLCL6AscDTxU6NhXcQHIfYnrnl2uAh4G+hQtJksx7tUrmvKqXea9WwrxXmWejbXH7PbAQ+A1wQv733xc0ImVGRGwCnEruH9CUiJiXX75d2MiUAYlcl7AJwCfAJcBZKaUHChqVCi6ltCClNGXZAswDFqWUphc6Nkklz7xX9TLn1SqY96pe5r0qBpFSKnQMkiRJkiRJkqQ8K20lSZIkSZIkKUNstJUkSZIkSZKkDLHRVpIkSZIkSZIyxEZbSZIkSZIkScoQG20lSZIkSZIkKUNstJUkSZIkSZKkDLHRViohEbFrRNwVEZMi4rOImBkRQyLipIgoK3R8ql9EfDciUkRsVuhYJEmSss6ctziZ80rS8my0lUpERJwFvAC0BX4NHAB8H3gXuBo4rGDBSZIkSWuAOa8kaV1RXugAJK19EbEXcClwZUrpzDqbH4iIS4Hma+A8lSmlxf/rcQopIgKoSCl9loFYKoClDXCeov+7SZIkmfOuPnNeSco+K22l0vAbYBbwq/o2ppTeTym9texxRPSJiCciYl5EzI+IJyOiT+3nRMRNETEh3/3sxYhYCFyc37Z+RFwdERMjYnFEjI6IAXWe3yEibs53W1scEZMj4qGI2HBlLyTfZeqCiDg7f/6FEfFsRPSuZ9+jIuKliFgQEbMj4u6I6FJnnw8j4raI+H5EjAY+Aw5dwbkfiognaj2OiJiej79ZrfX/iohXaj2uiIg/58/1Wf7nn/MJ6rJ9uuZf2w8j4uKImAQsBtqsIJYdImJqRNwbEU3y6/bO/63m5v9uj0VErzrPeyYino+I/hHxRkQsBn64krdckiSpWJjzmvMue545r6SiZ6OttI6L3Lhd+wCPp5QWrcb+2wBDgfWA7wInAq2AoRGxbZ3dWwN3AncAhwC3R0Qrcl3SDgXOy/98ELg6In5c67m3ArsCvwQOBM4EJgDNWLUTgX7AGfkY2wNPRkTbWq/jNOA/wNvAN4BTgV7519GyzvH2BX4G/BE4GHiL+j0F7BYRlfnH2wDtgATsUed4T9d6fDO5DxG3kOuS909y3fVuruccZwObAwOAI4Ev/M0i4iDgGeA+4JiU0qKIOBR4EpgHnAB8C2gJPBcRnescYnPgCuDvQN/88yRJkoqWOa85rzmvpHVOSsnFxWUdXsgldwm4cDX3vweYDbSpta4VuaqFe2utuyl/3CPqPP8P5JKuHnXWXwfMAMrzj+cBZ36F15Pyx2lea11XYAnwp/zjFsCnwI11ntuVXFXBWbXWfQgsADqsxrm3y59/7/zjs8glu0OWvb/A1/L7HJx/3Cv/+Lw6x/p9fv02tWJLwOtA1Nn3u/ltmwHfzr+G8+vsMxZ4ss66Vvn36vJa654BqoHehb42XVxcXFxcXFzW1GLOu9xzzXnNeV1cXNaBxUpbSXXtBTyUUpq9bEVKaQ4wCNi7zr5LgYfqrDsYeBkYFxHlyxbgMXLf0G+Z3+9V4JcR8ZOI2Doi4kvE+EhKaX6t+D4EXiJXxUD+ZyvgX3VimACMzr/G2l5KKU1ZjfO+SS6R3y//eD9ylQhP1Vm3BHgu/3jZuW6rc6xlj+u+p/enlNIKzn8WuQ8OP0kpnbNsZUT0ALrzxde7ABjGF1/vhyml4Ss4hyRJUikw510xc15JygAbbaV130xgIbDJau7fFphcz/op5LqP1TYtpVRVZ92G5BKmJXWWu/Pb2+V/HksuKf4VuW/uJ0bEORGxOvelqStY17FWDABP1BPH1rViWKa+1/sFKaVqct3o9s13wduLXJewp4Ed8t3k9gVerZVgL+u+VvccU+psX51YjgMmkusCV9uy13sDX3y9h/EVX68kSVIRMec15zXnlbROKS90AJLWrpTS0oh4BjgwVm/G1FlAh3rWd8hvW+7w9ew3E5gG/GQFxx+Tj2sa8CPgRxHREziJ3Pha04GrVxFj+xWsm1grBsh1sRpVz75z6zxe0bf89XkauITceF4tySW0c4H55CoI9gGurbX/svesA/B+rfXL3uOZLG9lsRwNDASeiYj9alVKLDvGb8kl7XXVnRX4y7xeSZKkzDPnNefFnFfSOsZGW6k0/IXcuE5/JTf5wXIiohvQMuVm0x0KHBoRLVNKc/PbWwL988dYlUeBHwMf55PUVUopjQF+l59Iodeq9gf6RUTzZd/sR0RXYBdyrxPgRXJJ5WYppfomPvhfPA00JjeO2evLutRFxHPkkvb1yXUdW2Zo/udxwAW11n87//PZL3HuieQS5KeBp/NJ7GRyHwo+BLZKKf1lxU+XJElap5nzrjnmvJJUYDbaSiUgpfRsRPwMuDQitiA3RtTH5Lp+7Q+cTG7m1beAP5HrXvRkRFxE7hvqX5Ob4fb81TjdZeS6gT0XEZeRS66ak5usYM+U0hER0Zrct+P/Ijfe1hLgiHw8j6/GORYCj0fEX4FKctUKc/LnJqU0JyJ+CfwjIjYABpObpKEjucqAZ1JKt6/Geb4gpTQyIqaRe9/+WmvTsmqExeTG1Fq2/6iIuAM4Lz/m1ovkxh/7A3BH/kPDlzn/5IjYh9zst89ExL4ppUkR8SPggYhoDNxFbjKG9sBu5D5MXPpVXq8kSVKxMOc15zXnlbQusdFWKhEppcsj4hXgp+QSrfXJfTP/GnAq8GB+v7fyCdIFwM1AkJvwYO+U0purcZ5PI2I34BxyiW9HcjPzjuHzcakWkZsx9hRy445V57d/O6X0wGq8nFvIdc26Mv86XgWOSynVdGVLKV0bEeOBX5JLzivIfWv/LDB8Nc6xMs8A32T56oJlv7+UUlpYZ/+TgA+A75ObQXcScBG5xPtLSylNiYh9WT6JfSQi9gLOBq4HmpIbQ+wl4N9f5TySJEnFxpzXnFeS1hWx4gkbJSl7IiIBF6SUfl/oWCRJkqS1wZxXkrQ6M1ZKkiRJkiRJkhqIjbaSJEmSJEmSlCEOjyBJkiRJkiRJGWKlrSRJkiRJkiRliI22kiRJkiRJkpQhNtpKkiRJkiRJUobYaCtJkiRJkiRJGWKjrSRJkiRJkiRlyP8HzXaUI/GAcZ0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1440x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize=(20, 10))\n",
    "\n",
    "sns.heatmap(cost_matrix, ax=axes[0], cmap='crest', annot=True, fmt='.0f', cbar=True, yticklabels=[8,16,32,64],  \n",
    "            xticklabels=[1,2,3,4])\n",
    "\n",
    "\n",
    "axes[0].set_title('Cost', fontsize=20)\n",
    "axes[0].set_xlabel(\"Cores per worker\", fontsize=16)\n",
    "axes[0].set_ylabel(\"Number of Partitions\", fontsize=16)\n",
    "axes[0].tick_params(axis='both', labelsize=12)\n",
    "\n",
    "\n",
    "# Plot heatmap in the second subplot (bottom)\n",
    "sns.heatmap(time_matrix, ax=axes[1], cmap='crest', annot=True, fmt='.0f', cbar=True, yticklabels=[8,16,32,64], \n",
    "            xticklabels=[1,2,3,4])\n",
    "\n",
    "axes[1].set_title('Time [s]', fontsize=20)\n",
    "axes[1].set_xlabel(\"Cores per worker\", fontsize=16)\n",
    "axes[1].set_ylabel(\"Number of Partitions\", fontsize=16)\n",
    "axes[1].tick_params(axis='both', labelsize=12)\n",
    "\n",
    "\n",
    "# Adjust spacing between subplots\n",
    "plt.tight_layout()\n",
    "\n",
    "# Show the plots\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95b38b2c",
   "metadata": {},
   "source": [
    "# PARALLEL KMEANS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "db8e9703",
   "metadata": {},
   "outputs": [],
   "source": [
    "    \n",
    "def kmeans_Lloyd(X, centroids, k, max_iters=100, tol=1e-7):\n",
    "    \n",
    "    \"\"\" Run the sequential LLoyd algorithm given data X, centroids and k number of clusters.\"\"\"\n",
    "\n",
    "    costs = []\n",
    "\n",
    "    for _ in range(max_iters):\n",
    "        # Step 1: Assign each data point to the nearest centroid\n",
    "        distances = euclidean_distances(X, centroids)\n",
    "        labels = np.argmin(distances, axis=1)\n",
    "        \n",
    "        # Step 2: Update centroids based on the assigned points\n",
    "        new_centroids = np.array([X[labels == i].mean(axis=0) for i in range(k)])\n",
    "        \n",
    "        # Calculate the cost function (sum of squared distances to centroids)\n",
    "        cost = np.sum(np.min(distances, axis=1))\n",
    "        costs.append(cost)\n",
    "\n",
    "        \n",
    "        # Check for convergence\n",
    "        if np.linalg.norm(new_centroids - centroids) <= tol:\n",
    "            break\n",
    "        \n",
    "        centroids = new_centroids\n",
    "    \n",
    "    return centroids, labels, costs\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "db5117b0",
   "metadata": {},
   "outputs": [],
   "source": [
    "def kmeans_ll(data, k, L): \n",
    "    \n",
    "    \"\"\" || kmeans initialization of k centroids elements. X is the data, L the oversampling factor.\"\"\"\n",
    "    \n",
    "    \n",
    "    cols = data.columns\n",
    "    n_samples, n_features = data.count(), len(data.columns)\n",
    "    centroids = np.zeros((1, n_features))\n",
    "    \n",
    "    # Step 1: Choose one random point as the first centroid\n",
    "    three_dim_array = np.array(data.select(array([c for c in data.columns if c not in ignored_cols])).rdd.takeSample(False, 1))\n",
    "    centroids[0] = three_dim_array.reshape(three_dim_array.shape[0], -1)\n",
    "    \n",
    "    # Define a UDF to find psi\n",
    "    # Calculate the distance using the UDF and collect the result\n",
    "    distance_udf = udf(lambda row: ((float(euclidean_distance(row, centroids[0])))), DoubleType())\n",
    "\n",
    "    distance = data.withColumn(\"distance\", distance_udf(array([c for c in cols if c not in ignored_cols])))\n",
    "\n",
    "    # Sum the distances\n",
    "    psi = distance.select(spark_sum(col(\"distance\"))).collect()[0][0]\n",
    "    #print(psi)\n",
    "\n",
    "    \n",
    "\n",
    "    # Calculate psi\n",
    "    #psi = spark_sum(distance_udf(array([c for c in cols if c not in ignored_cols])).collect())\n",
    "\n",
    "    \n",
    "    for j in range(1, int(np.log(psi))):\n",
    "\n",
    "        # Step 2: Compute distances from each point to the nearest centroid and define probabilities\n",
    "        min_distance_udf = udf(lambda row: (float(min([euclidean_distance(row, c) for c in centroids]))), DoubleType())\n",
    "        data = data.withColumn(\"probs\", min_distance_udf(array([c for c in cols if c not in ignored_cols])))\n",
    "        # Calculate the sum of the \"probs\" column\n",
    "        total_sum = data.select(spark_sum(col(\"probs\"))).collect()[0][0]\n",
    "        # Normalize the \"probs\" column by dividing each row's value by the total sum\n",
    "        data = data.withColumn(\"probs\", col(\"probs\")*L / total_sum)\n",
    "        \n",
    "        # Sample and add centroids\n",
    "        # Generate a random column for filtering\n",
    "        data = data.withColumn(\"rand_col\", rand())\n",
    "\n",
    "        # Filter and select the rows where 'rand_col' is less than 'probs' to get n_samples\n",
    "        selected_data = data.filter(col(\"rand_col\") < col(\"probs\")).select([col(c) for c in data.columns if c not in ['rand_col','centr','cost','probs']]).collect()\n",
    "\n",
    "        #print(\"centroids\", centroids)\n",
    "        #print(\"selected_data\", selected_data)\n",
    "        if selected_data != []:\n",
    "            centroids = np.concatenate((centroids, selected_data), axis=0)\n",
    "                \n",
    "    if len(centroids) > k:\n",
    "                \n",
    "        #A SORT OF K MEANS ++ INITIALIAZATION FOR Lloyd ITERATIONS ON CENTROIDS       \n",
    "        cc = np.copy(centroids)\n",
    "        p_centroids = np.zeros((k, n_features))\n",
    "\n",
    "        for j in range(0, k):\n",
    "            \n",
    "            # Define weights\n",
    "            w = np.zeros(len(cc))\n",
    "\n",
    "            # Create new column with the index of the nearest center for each row\n",
    "            argmin_distance_udf = udf(lambda row: (argmin([euclidean_distance(row, c) for c in cc])), IntegerType())\n",
    "            data = data.withColumn(\"index\", argmin_distance_udf(array([c for c in cols if c not in ignored_cols])))\n",
    "\n",
    "            #w = np.array(data.groupBy(\"index\").count().collect())\n",
    "            # Group by 'centroid_inddex' and count the occurrences, renaming the count column\n",
    "            centroid_counts = data.groupBy(\"index\").count()\n",
    "            # Order by ascending index value\n",
    "            centroid_counts = centroid_counts.sort(\"index\")\n",
    "            # Calculate the sum of counts\n",
    "            total_count = centroid_counts.select(spark_sum(col(\"count\"))).collect()[0][0]\n",
    "            # Normalize the \"probs\" column by dividing each row's value by the total sum\n",
    "            renormalized_counts = centroid_counts.withColumn(\"count\", col(\"count\")/ total_count).select(col(\"count\")).collect()\n",
    "            probs = np.array(renormalized_counts).flatten()\n",
    "\n",
    "            next_centroid_idx = np.random.choice(len(probs), p=probs)\n",
    "            p_centroids[j] = cc[next_centroid_idx]\n",
    "            cc = np.delete(cc, next_centroid_idx, axis=0)\n",
    "\n",
    "        #print(len(centroids), len(p_centroids))\n",
    "        # K MEANS Lloyd ITERATIONS ON CENTROIDS\n",
    "\n",
    "        final_centroids, __, _ = kmeans_Lloyd(centroids, p_centroids, k)\n",
    "    else:\n",
    "        final_centroids = centroids\n",
    "        \n",
    "    return final_centroids\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "31df6a40",
   "metadata": {},
   "outputs": [],
   "source": [
    "ncores = 4\n",
    "# 4 cores\n",
    "spark, sc = initiate_session(ncores=ncores, spark=spark)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "60dcccb8",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8269921.025551179\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8140511.79373426\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7777839.072673103\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7420955.258362146\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7411477.325418943\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7392736.828353294\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7387588.582491585\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7386907.837436475\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7376417.364115431\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7373053.125636206\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8426775.71135472\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8186402.265693026\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7906350.014302466\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7840478.358222374\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7838243.717296434\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7838176.058341695\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7838162.770927761\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7509351.3090652395\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7281541.546690758\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7032876.706607126\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6526391.08474685\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6478028.7149979025\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6457840.618253756\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6456809.954216204\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6456795.704460197\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6456771.978470916\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7663660.479378299\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7510803.15770679\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7496418.8464526\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7496006.018592266\n",
      "Iteration 5\n"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7495484.675813722\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7488435.966135354\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7480009.0009751525\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7467078.062369413\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7384852.35639932\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7091177.987326314\n",
      "Iteration 11\n"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7090116.762526503\n",
      "Iteration 12\n"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7090044.0464624185\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7886244.58829662\n",
      "Iteration 2\n"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "Cost function values 7595642.1417351235\n",
      "Iteration 3\n"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "Cost function values 6866600.357164064\n",
      "Iteration 4\n"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6722177.066212295\n",
      "Iteration 5\n"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6703765.527707356\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6700338.445869565\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6700183.232173748\n",
      "Iteration 8\n"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6700107.467116035\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6700017.095325375\n",
      "Iteration 10\n"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6699783.414018571\n",
      "Iteration 11\n"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "Cost function values 6698977.986593045\n",
      "Iteration 12\n"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "Cost function values 6692360.618782343\n",
      "Iteration 13\n"
     ]
    },
    {
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     "output_type": "stream",
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      "                                                                                \r"
     ]
    },
    {
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     "output_type": "stream",
     "text": [
      "Cost function values 6625199.980911098\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6378284.13554287\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6294452.869018687\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8026176.222032573\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7701187.483424856\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7272951.954901913\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7025427.683231149\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6999124.224555449\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6978935.235997101\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6965606.167959941\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6963233.007646094\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6961454.914059628\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6952911.854351052\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6946231.4455901235\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6936303.883689794\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6905288.771256552\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6671069.666659693\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6607418.094753605\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8945472.808986252\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8652068.049076641\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8535722.858151678\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8480979.874749701\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8437818.106146617\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8152803.374514289\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8062619.292292031\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8051350.16099642\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8046537.895212323\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8046100.195637241\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8046075.505356843\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7811191.271232223\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7762471.818688796\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7761108.429534717\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7760739.454448087\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7760637.991179349\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7760604.6828947365\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8227484.117238312\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8128257.351082404\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8095922.4570214795\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8064780.187056883\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7963581.248723173\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7751376.919555237\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7721719.339626918\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7720841.0396279665\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7720826.131520493\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8741292.596448967\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8347073.166445503\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8274847.286233761\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8270212.9108818\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8265625.146316392\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8253459.163179118\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 8218631.535062763\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8217468.105826387\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8217458.585426921\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7706536.279651544\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7410544.37215846\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7236764.373423364\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6948289.384631008\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
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     "text": [
      "Cost function values 6911080.964682689\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 6872789.853068702\n",
      "Iteration 7\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 6649534.877028786\n",
      "Iteration 8\n"
     ]
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     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
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     "text": [
      "Cost function values 6576287.833558832\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6572062.928640385\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6551526.765775404\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6462617.431930091\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6380154.151299032\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6308379.167270652\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6183383.523944245\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6174765.606708227\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7984059.870850485\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7749498.97833026\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7740191.550399822\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7717666.453744309\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7540274.268114807\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7513626.004825237\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7509268.929484389\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7504896.822615153\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7480013.979088632\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7470508.435324555\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7468182.831099515\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7467788.959561975\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7467615.842393571\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7467468.131762\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7467356.472362778\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8078459.872728918\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7834211.49826612\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7187761.837900756\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7135955.633882228\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7122622.7367663765\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7117178.8894470595\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7111889.5402047895\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7104381.24480465\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7093104.905445609\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7076266.008636314\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7071768.345644472\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7071740.269442966\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7031086.559562484\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6885857.163502625\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6728085.146482298\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6664184.666575581\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6634740.663945308\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6374862.193346249\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6250498.243566422\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6243640.875553875\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6243283.1682301825\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6243016.525747596\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6242972.103257328\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6242933.1505969\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7785150.827431099\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7163241.43573367\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7054570.339247383\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6910006.964579418\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6878247.626007235\n",
      "Iteration 6\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6873171.610310072\n",
      "Iteration 7\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6872781.297807239\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7491996.422742489\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7283026.071028074\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7021922.651546589\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6944947.199353196\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6932551.080099719\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6921143.753598227\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6908130.457241156\n",
      "Iteration 8\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6870010.149407309\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6858107.9086189065\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6852291.564592005\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6851504.7617764855\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6851438.148268116\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8076366.550553857\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7510722.469185557\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7399334.478372407\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7381419.123149613\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7378431.028992664\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7377098.039464501\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7376166.4402665105\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7374940.043702613\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7372491.287317283\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7368206.409880281\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7362540.260494702\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7356363.80214418\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7183807.052910174\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7151061.9722436\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8325409.687669214\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7834169.750821729\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7572944.058913539\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7479292.02305587\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7196256.476498363\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7143249.881539711\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7139236.550877873\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7137480.815307941\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7135924.598889214\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7134033.205916687\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7112427.27916671\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7015411.5896853795\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6928445.934827229\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6854686.392304574\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6728011.644851858\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7351072.067180905\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7046095.132544785\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6838766.329093295\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6826780.748292962\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6811165.124217028\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6435737.49583349\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6282453.556390196\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6276449.58491418\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6275521.765833915\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6275305.383301743\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6275139.477222576\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6274766.41587795\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6274329.1861423785\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6274079.930696348\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6273846.633702012\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7410570.060043658\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6936486.54868148\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6719537.01742651\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6630775.041386303\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6304606.974205933\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6146076.820573558\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5888553.121533298\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5858391.857604074\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5857563.487179228\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Stage 23260:====================================================>(63 + 1) / 64]\r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5857452.074208085\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "                                                                                \r"
     ]
    }
   ],
   "source": [
    "data = spark.createDataFrame(pd.read_csv(\"./data.csv\"))\n",
    "k = 23 # length of unique labels\n",
    "partitions = np.array([8, 16, 32, 64])\n",
    "iterations = 5\n",
    "\n",
    "cost_results, time_results = avg_cost_time_results(k=k, data=data, partitions=partitions, iterations=iterations,\n",
    "                                                   func=kmeans_ll, L=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "11188fd9",
   "metadata": {},
   "outputs": [],
   "source": [
    "with np.load('cost.npz') as loaded_data:\n",
    "    np.savez('cost.npz', **loaded_data, cost4_parallel=cost_results)\n",
    "\n",
    "with np.load('time.npz') as loaded_data:\n",
    "    np.savez('time.npz', **loaded_data, time4_parallel=time_results)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "a98f75dd",
   "metadata": {},
   "outputs": [],
   "source": [
    "ncores = 3\n",
    "# 3 cores\n",
    "spark, sc = initiate_session(ncores=ncores, spark=spark)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "b385723b",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8566614.00827029\n",
      "Iteration 2\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8499590.298632408\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8261203.711386436\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
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     "text": [
      "Cost function values 7825007.353585646\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
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     "text": [
      "Cost function values 7819424.231097931\n",
      "Iteration 6\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
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     "text": [
      "Cost function values 7819063.895619089\n",
      "Iteration 7\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
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     "text": [
      "Cost function values 7811054.023358021\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7810823.688784687\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8369871.868648311\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8047268.403829883\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7885213.42078173\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7854829.335187004\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7853246.523200553\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7853145.667296995\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8889264.156464668\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8585627.473322548\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8509742.690059746\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8471121.450436\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8433463.467549445\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8415627.366266506\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8372284.449826368\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8341633.906851883\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8056544.971687337\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8055908.050972194\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8055757.004506735\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8055737.113940863\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8055724.0689830715\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8055674.707548367\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8055526.277446398\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8058341.107678286\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7856277.109335127\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7660438.578365293\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7211687.51564943\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7209417.5841090195\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7208638.672993904\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7207554.495793973\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7207339.912061901\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8576931.550314957\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8391474.65920219\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8231272.631230807\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8165767.734066318\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8145557.778870767\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8129582.2583310045\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8096592.745180601\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8085114.072263715\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8080982.590037167\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8080915.500425138\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5812526.966222126\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5778204.035712211\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5764982.121462093\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5761297.856515039\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5756747.194253907\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5716088.057413021\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5458102.383373421\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5389107.198794723\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5346421.447777835\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5312390.21814118\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5312079.091505086\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5312011.322646343\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
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     "output_type": "stream",
     "text": [
      "Cost function values 5311996.995379855\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7325852.681482478\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7166085.562697991\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7115776.246805951\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7085446.812992405\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7008992.835355965\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6713286.467766374\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6661072.350988903\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6654477.272517282\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6651105.7935234895\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6650218.99767732\n",
      "Iteration 11\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6649343.290743546\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6648741.949543067\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6648472.17786759\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6648158.412943027\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6647611.342628955\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8969555.825328292\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8879372.237218779\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8746680.93022744\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8604365.812096613\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8591385.090719609\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8586550.050524374\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8585572.54515928\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8585560.912936235\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7109235.748543962\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6932650.9697101405\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6868165.166428157\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6860503.488205772\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6860273.031937182\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6860248.599699773\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6860237.13961529\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8072257.504802444\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7923754.2016087705\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7881616.196785998\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7863408.516840412\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7850328.336179292\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7835252.581878329\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7815896.649583349\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7814788.488678683\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7814662.05503255\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7737951.007970252\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7303614.010959401\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7245399.272987895\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7072491.183517996\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6816660.036409909\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6684815.25840475\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6649292.428999606\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6642670.965421927\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6640726.780390122\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6640597.04038526\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6640574.036280744\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6640562.665640383\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5899320.729979334\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5340792.747896598\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5070048.41596342\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5038299.717933336\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5032739.181363741\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5032389.17411342\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5032286.39971124\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5032222.178133234\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5032173.863109964\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5032086.48168155\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5032014.340337178\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5031983.434116647\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5031963.802103175\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5031940.159221766\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5031894.772690867\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6949836.782112541\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6727153.202325311\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6680505.398617066\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6636097.347865235\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6523492.097828151\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6441301.57643985\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6299656.183711343\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6279886.972095365\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6275676.863139072\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6273877.873855366\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6272552.749938734\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6271596.194704433\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6270740.847447223\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6269805.504031737\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6268912.6319622565\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7356882.499986643\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7039003.047074227\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6981520.301560708\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6969095.6142412685\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6958641.023161714\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6948277.462266432\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6945650.024895327\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6941851.912478404\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6937361.335923126\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6924068.384995427\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6840110.923626077\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6811236.7046059305\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6802952.435493814\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6799231.136765788\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6798171.966245841\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6209450.920273919\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5605362.4949769275\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5226689.7157243285\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5176574.671308964\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5169459.865645823\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5158568.995994583\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 4866468.219677994\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 4844417.250784304\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 4844382.546318904\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8212101.779547759\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8123847.7606958775\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8121560.46342149\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8121316.380553752\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8121240.26585026\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8121219.238038151\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8121210.514450147\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7914587.326682208\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7852619.113988604\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7798504.888549295\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7663805.607040226\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7584940.425912444\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7540496.751941186\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7512787.390996311\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7505761.396728329\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7504376.810738174\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7502254.098576626\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7481857.571192624\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7438645.082992453\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7436607.42165671\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7436162.39937927\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7435968.773743719\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9062985.365474606\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9006539.017773328\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8890475.705782907\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8593644.072969059\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8529810.091904579\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8522776.699547965\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8521871.17450928\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8521668.922280699\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8521635.698347446\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7360278.32976466\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7109359.267102617\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6762890.324828\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6249157.444726034\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6230470.919937765\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6215581.95599034\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6214695.845938041\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6214289.357529486\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6213985.827978631\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6207553.855080965\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6187241.750433534\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6185938.160939603\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6185756.229753713\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6185688.753321035\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6185637.841775454\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7268183.407834082\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7057594.366959786\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6970152.185500652\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6708913.246051662\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6666421.397877344\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6664822.430546069\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Stage 22451:====================================================>(63 + 1) / 64]\r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6664737.6838532835\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "                                                                                \r"
     ]
    }
   ],
   "source": [
    "data = spark.createDataFrame(pd.read_csv(\"./data.csv\"))\n",
    "k = 23 # length of unique labels\n",
    "partitions = np.array([8, 16, 32, 64])\n",
    "iterations = 5\n",
    "\n",
    "cost_results, time_results = avg_cost_time_results(k=k, data=data, partitions=partitions, iterations=iterations,\n",
    "                                                   func=kmeans_ll, L=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "690ff8cf",
   "metadata": {},
   "outputs": [],
   "source": [
    "with np.load('cost.npz') as loaded_data:\n",
    "    np.savez('cost.npz', **loaded_data, cost3_parallel=cost_results)\n",
    "\n",
    "with np.load('time.npz') as loaded_data:\n",
    "    np.savez('time.npz', **loaded_data, time3_parallel=time_results)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "4d6b30c1",
   "metadata": {},
   "outputs": [],
   "source": [
    "ncores = 2\n",
    "# 3 cores\n",
    "spark, sc = initiate_session(ncores=ncores, spark=spark)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "50dbaf94",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8354874.748781584\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8325229.471378352\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8321680.148011171\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8320522.32587577\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8320374.562982689\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8320335.977015009\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8320318.381252203\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8667917.65495011\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8627810.240211092\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8624548.829491979\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8624298.578292198\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8624214.676208377\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8624146.593674462\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8624127.962607425\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8144118.607121841\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8036730.013132428\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7563402.418338357\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7290682.863694417\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7224296.372506005\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7203681.310018206\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7199574.556894855\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7197660.496914491\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7191336.387975068\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7108737.986664987\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7060180.050108681\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7044410.615154367\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7037216.720051044\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7033314.020336822\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7030061.934048214\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8259160.374820749\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7938197.437378868\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7883462.383549816\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7771523.530532649\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7735699.784804033\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7731439.79204203\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7728529.866743502\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7648630.792727429\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7387970.313274028\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7372720.39014777\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7369396.869623641\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7369326.805544819\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7369317.3755999245\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6207391.0363083435\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6179768.604481284\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6177804.971589651\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6177628.571012929\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6177610.777474829\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8726263.136588516\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8586735.33474206\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8459786.432083474\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8456489.395179745\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8440886.125426233\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8408972.391529052\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8405046.772614527\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8404490.146626374\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8404436.035237396\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8186564.082968568\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7561545.169647781\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7397514.852440267\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7340018.892649233\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7327971.541090557\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7324447.522241207\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7324317.423966725\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7324274.2950783735\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7324218.393418887\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7324208.479858886\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8681123.208938375\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8323721.2649996225\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7576681.62754272\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7526616.617110003\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7509773.082134953\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7442844.1961530335\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7357557.765081301\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7344192.62661137\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7340788.67694979\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
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     "text": [
      "Cost function values 7340453.259755864\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7340419.2053246545\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "text": [
      "Cost function values 7340286.390680145\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7340218.4764536675\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7340206.5428006165\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6549062.603372925\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6066360.526015696\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6005296.733281256\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5976924.409656064\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5973643.675486339\n",
      "Iteration 6\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5973263.810003764\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5973193.180914964\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5972958.360812153\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5972930.151477054\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7969799.139160047\n",
      "Iteration 2\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7141967.327386727\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7051523.36157461\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7028470.733639221\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7017203.344429787\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6997919.151230039\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6974043.150888105\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6925112.901999099\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6778204.622589558\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6552564.58532748\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6474738.715007668\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6440214.297308581\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6433880.976333807\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6429848.692673099\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6421984.8339546025\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8217962.561471173\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8012238.014454634\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7864995.577098352\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7373521.128476355\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7343685.256923505\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7342678.28127079\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7334520.317551696\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7334037.639459785\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8390374.274523066\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8125982.65870892\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7786075.574384497\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7458254.295242887\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7440032.655054571\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7424928.469284132\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7140278.981502354\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7118608.665086301\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7565455.100472536\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7455042.520679808\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7188069.655737261\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6501028.959103554\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6223139.043653214\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6218193.414492303\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6214531.523006305\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6214235.397221562\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6214133.253660258\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6214093.342265457\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6214058.441596489\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6214005.190723241\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6213889.194822621\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6213724.477427814\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6213617.992576624\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8118975.79136975\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
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     "text": [
      "Cost function values 7857373.921490677\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7222388.901056729\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7217421.599168442\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
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      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7216868.247787515\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7216734.56309575\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7216716.728929325\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9136264.126793811\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9001906.157452581\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8759033.287129855\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8690179.668216573\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8686917.009176468\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8686251.233635508\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8685816.037696887\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8685463.588465596\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8685156.964162342\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8685006.44128446\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8684946.530452821\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8684917.391389828\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8684895.53044117\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8684883.821469137\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9400122.859664395\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9113792.555798044\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8885226.803685758\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8856866.468668485\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8854302.98956587\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8854210.935212575\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9487853.252999395\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7986748.610615335\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7849075.3497244045\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7845905.998778081\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7845159.92572669\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7844808.0796393575\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7844527.010738081\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7844320.963929117\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7844120.853657681\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7843911.61553356\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7843869.143934534\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7843858.977232343\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7843831.769452685\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7843402.156939108\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7842759.8814509725\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8293144.837025736\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7795595.380550169\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7571845.993719762\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7528603.717701489\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7454212.009245054\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7402758.912953946\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7374321.004725368\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7317343.25133144\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7278806.624936657\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7275329.808731005\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7272258.476856847\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7271930.780690585\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7271696.763833052\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7271459.139682475\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7271394.059872909\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8235523.3238656875\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7788278.682463216\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "name": "stdout",
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     "text": [
      "Cost function values 7776376.169090885\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 7764877.063313092\n",
      "Iteration 5\n"
     ]
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 7764715.684618541\n",
      "Iteration 6\n"
     ]
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     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Cost function values 7764707.820753376\n"
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     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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     "text": [
      "Iteration 0\n"
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     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7906438.879007683\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7894266.633686069\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7893819.712123177\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7893749.227977512\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Stage 21504:===================================================> (62 + 2) / 64]\r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7893692.140690175\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "                                                                                \r"
     ]
    }
   ],
   "source": [
    "data = spark.createDataFrame(pd.read_csv(\"./data.csv\"))\n",
    "k = 23 # length of unique labels\n",
    "partitions = np.array([8, 16, 32, 64])\n",
    "iterations = 5\n",
    "\n",
    "cost_results, time_results = avg_cost_time_results(k=k, data=data, partitions=partitions, iterations=iterations,\n",
    "                                                   func=kmeans_ll, L=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "22d81174",
   "metadata": {},
   "outputs": [],
   "source": [
    "with np.load('cost.npz') as loaded_data:\n",
    "    np.savez('cost.npz', **loaded_data, cost2_parallel=cost_results)\n",
    "\n",
    "with np.load('time.npz') as loaded_data:\n",
    "    np.savez('time.npz', **loaded_data, time2_parallel=time_results)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "3cc0a3db",
   "metadata": {},
   "outputs": [],
   "source": [
    "ncores = 1\n",
    "# 3 cores\n",
    "spark, sc = initiate_session(ncores=ncores, spark=spark)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "07cfe872",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6494814.780788034\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5993968.511904641\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5353572.270129169\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5084532.7057902105\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5051197.375185625\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5048893.6210241895\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5046504.796016429\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9026672.947535668\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8879400.784325622\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8853635.72385631\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8823836.898583598\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8822045.517917417\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8821578.078174604\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8821512.823941234\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8821496.724510316\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9177476.048554214\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9151858.560512412\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9104555.400125263\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9094181.4674463\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9092522.471171109\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9092373.082417596\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9092351.469712429\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 9092341.745901024\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 11371250.2549231\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 11315595.610565318\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 11288935.079743784\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 11248089.762450736\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 11186471.017580934\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 11172119.221949201\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 11169160.492800897\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 11168935.571626674\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 11168922.98674877\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8422604.016784089\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7976047.345141126\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7760883.041398465\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7758892.504662331\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7758731.261575359\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7758527.7649415815\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7758170.528326387\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7758013.041473864\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7757970.43144382\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7848644.112693649\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7555340.412718288\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7286918.735833025\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7253715.687761705\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7180717.855363701\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7166909.405768213\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7159990.63952221\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7153511.99688315\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7149019.862928254\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
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      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7143894.061968042\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7135230.726034477\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7082799.792363564\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6801298.476104795\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6779765.573599332\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6777326.836835797\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7792894.563055191\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7532685.072440017\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7491100.819195636\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7375745.084134266\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7067319.154132649\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6812762.356693165\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6661088.845352603\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6657317.6586984685\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6657077.895616667\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6656941.596241505\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6656813.161697676\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6656759.796762222\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7806680.709841963\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7265703.03566094\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7044119.720833678\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6997183.167882742\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6989411.988268383\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6873398.794512113\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6864757.061237071\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6863519.150593414\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6862529.634212753\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6861864.7521513235\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6859564.016448245\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6851272.289679842\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6847913.762000873\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6845217.8969661845\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6841923.611782111\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6828516.910275023\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6346045.1621276485\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6337274.955244211\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6326772.87299071\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6326099.95299894\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6323898.99335152\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6311964.96452443\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6306008.446872355\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6296909.594474487\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6269441.140128036\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6226924.713145241\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6016283.697118401\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6015219.310905521\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6015197.672409273\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7567772.59320024\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7385221.665988591\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7274690.6664936505\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7239814.208323281\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7215880.985506514\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7207156.707938754\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7203947.529652397\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7175707.143265438\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6878315.137223913\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6872414.677120692\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6869185.723144411\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6861468.702251935\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
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     "text": [
      "Cost function values 6822390.412297688\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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     "name": "stdout",
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     "text": [
      "Cost function values 6681122.034299715\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
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     "output_type": "stream",
     "text": [
      "Cost function values 6461160.081735546\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Stage 7532:====================================================> (31 + 1) / 32]\r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6833057.52678991\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6762687.914294787\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6739829.185286465\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6727829.622305278\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6675180.260917246\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6615216.701475139\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6608073.772560672\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6607519.140961532\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6606594.528555055\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6596179.629268246\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6478210.220721528\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6425309.88045124\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6416676.245815655\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6415722.516665444\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6415423.53568103\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7873271.308116272\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7635364.514765814\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7577911.168367931\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7304231.929683135\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7132658.110180313\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7076089.856828666\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7074494.935214953\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7074428.773808425\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7074417.716828764\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8719251.87077947\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8656114.20467274\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8467426.899956668\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8452246.396241723\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8443052.022071132\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8400777.1133316\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8124059.381110728\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8045668.332264284\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8045640.253247691\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6743382.238166247\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6203160.895861652\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5872752.546009499\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5513583.383043139\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5356546.993671583\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5247116.404987025\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5079982.62889078\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5066503.558672187\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5062640.332189654\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5060752.006846999\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5058967.778205985\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5057269.119027052\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5051533.629562056\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 4978795.7383486405\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 4817267.530353229\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8489279.786271604\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8412883.0344029\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8203485.891740566\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8138416.088258741\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8132828.795490572\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8129833.890181093\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8126053.684227391\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8123823.980399275\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8123441.3318602\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8123272.066846049\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8123096.811468809\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8122579.191257031\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8122323.49787165\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8122237.622304413\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8122211.577223896\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7530491.941654892\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7416565.02504473\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7270435.5092916265\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7102443.964256531\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7090758.202183503\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7085276.11160296\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7083616.798149179\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
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    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7083588.09974362\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7083580.917684135\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8172927.620830123\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7900288.61380032\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7791491.895589096\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7770662.267226024\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7765128.070996671\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7762657.666187334\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7760911.195329433\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7759666.907400677\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7757368.153725334\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7756627.89116661\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7756119.110701718\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7754643.541213151\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7752080.738571599\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7746861.520110582\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7742932.861377175\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6372383.095901142\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5847525.035551758\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5822603.706935085\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5794654.583340731\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5670463.620542443\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5475862.22134528\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5468729.832650508\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5464055.2041448\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5446535.063565786\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5359412.930724614\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5331455.060410918\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5321849.068954742\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5318436.694769427\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5317871.901879209\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 5317796.292924268\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 8076398.387362807\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7825636.8095383905\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7633031.684194162\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7502568.834019181\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7498315.8328443505\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7497903.706826961\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7497552.4418425895\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7497469.972772992\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7497443.223688318\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7497195.568461723\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7496949.693168059\n",
      "Iteration 12\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7496764.390244454\n",
      "Iteration 13\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7496553.5984511925\n",
      "Iteration 14\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7496230.3974637855\n",
      "Iteration 15\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7495923.875112713\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Iteration 0\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values inf\n",
      "Iteration 1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7387407.473212879\n",
      "Iteration 2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 7004975.978733953\n",
      "Iteration 3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6946073.215389189\n",
      "Iteration 4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6938238.100055012\n",
      "Iteration 5\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
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    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6934782.127859328\n",
      "Iteration 6\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6934221.6170299295\n",
      "Iteration 7\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6933425.578625244\n",
      "Iteration 8\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6930191.494174103\n",
      "Iteration 9\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6919305.015333999\n",
      "Iteration 10\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "                                                                                \r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6912054.905206485\n",
      "Iteration 11\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "[Stage 23927:====================================================>(63 + 1) / 64]\r"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cost function values 6912000.141994015\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "                                                                                \r"
     ]
    }
   ],
   "source": [
    "data = spark.createDataFrame(pd.read_csv(\"./data.csv\"))\n",
    "k = 23 # length of unique labels\n",
    "partitions = np.array([8, 16, 32, 64])\n",
    "iterations = 5\n",
    "\n",
    "cost_results, time_results = avg_cost_time_results(k=k, data=data, partitions=partitions, iterations=iterations,\n",
    "                                                   func=kmeans_ll, L=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "d5080eff",
   "metadata": {},
   "outputs": [],
   "source": [
    "with np.load('cost.npz') as loaded_data:\n",
    "    np.savez('cost.npz', **loaded_data, cost1_parallel=cost_results)\n",
    "\n",
    "with np.load('time.npz') as loaded_data:\n",
    "    np.savez('time.npz', **loaded_data, time1_parallel=time_results)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "7be6d343",
   "metadata": {},
   "outputs": [],
   "source": [
    "cost_data = np.load('cost.npz')\n",
    "time_data = np.load('time.npz')\n",
    "\n",
    "cost4 = cost_data['cost4_parallel']\n",
    "cost3 = cost_data['cost3_parallel']\n",
    "cost2 = cost_data['cost2_parallel']\n",
    "cost1 = cost_data['cost1_parallel']\n",
    "time4 = time_data['time4_parallel']\n",
    "time3 = time_data['time3_parallel']\n",
    "time2 = time_data['time2_parallel']\n",
    "time1 = time_data['time1_parallel']\n",
    "\n",
    "cost_matrix = np.column_stack((cost1, cost2, cost3, cost4))\n",
    "time_matrix = np.column_stack((time1, time2, time3, time4))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "9f32ff05",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x720 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize=(20, 10))\n",
    "\n",
    "sns.heatmap(cost_matrix, ax=axes[0], cmap='crest', annot=True, fmt='.0f', cbar=True, yticklabels=[8,16,32,64],  \n",
    "            xticklabels=[1,2,3,4])\n",
    "\n",
    "\n",
    "axes[0].set_title('Cost', fontsize=20)\n",
    "axes[0].set_xlabel(\"Cores per worker\", fontsize=16)\n",
    "axes[0].set_ylabel(\"Number of Partitions\", fontsize=16)\n",
    "axes[0].tick_params(axis='both', labelsize=12)\n",
    "\n",
    "\n",
    "# Plot heatmap in the second subplot (bottom)\n",
    "sns.heatmap(time_matrix, ax=axes[1], cmap='crest', annot=True, fmt='.0f', cbar=True, yticklabels=[8,16,32,64], \n",
    "            xticklabels=[1,2,3,4])\n",
    "\n",
    "axes[1].set_title('Time [s]', fontsize=20)\n",
    "axes[1].set_xlabel(\"Cores per worker\", fontsize=16)\n",
    "axes[1].set_ylabel(\"Number of Partitions\", fontsize=16)\n",
    "axes[1].tick_params(axis='both', labelsize=12)\n",
    "\n",
    "\n",
    "# Adjust spacing between subplots\n",
    "plt.tight_layout()\n",
    "\n",
    "# Show the plots\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.12"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}