{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4d3236fe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div class=\"bk-root\">\n",
       "        <a href=\"https://bokeh.org\" target=\"_blank\" class=\"bk-logo bk-logo-small bk-logo-notebook\"></a>\n",
       "        <span id=\"1001\">Loading BokehJS ...</span>\n",
       "    </div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function now() {\n",
       "    return new Date();\n",
       "  }\n",
       "\n",
       "  const force = true;\n",
       "\n",
       "  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n",
       "    root._bokeh_onload_callbacks = [];\n",
       "    root._bokeh_is_loading = undefined;\n",
       "  }\n",
       "\n",
       "const JS_MIME_TYPE = 'application/javascript';\n",
       "  const HTML_MIME_TYPE = 'text/html';\n",
       "  const EXEC_MIME_TYPE = 'application/vnd.bokehjs_exec.v0+json';\n",
       "  const CLASS_NAME = 'output_bokeh rendered_html';\n",
       "\n",
       "  /**\n",
       "   * Render data to the DOM node\n",
       "   */\n",
       "  function render(props, node) {\n",
       "    const script = document.createElement(\"script\");\n",
       "    node.appendChild(script);\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when an output is cleared or removed\n",
       "   */\n",
       "  function handleClearOutput(event, handle) {\n",
       "    const cell = handle.cell;\n",
       "\n",
       "    const id = cell.output_area._bokeh_element_id;\n",
       "    const server_id = cell.output_area._bokeh_server_id;\n",
       "    // Clean up Bokeh references\n",
       "    if (id != null && id in Bokeh.index) {\n",
       "      Bokeh.index[id].model.document.clear();\n",
       "      delete Bokeh.index[id];\n",
       "    }\n",
       "\n",
       "    if (server_id !== undefined) {\n",
       "      // Clean up Bokeh references\n",
       "      const cmd_clean = \"from bokeh.io.state import curstate; print(curstate().uuid_to_server['\" + server_id + \"'].get_sessions()[0].document.roots[0]._id)\";\n",
       "      cell.notebook.kernel.execute(cmd_clean, {\n",
       "        iopub: {\n",
       "          output: function(msg) {\n",
       "            const id = msg.content.text.trim();\n",
       "            if (id in Bokeh.index) {\n",
       "              Bokeh.index[id].model.document.clear();\n",
       "              delete Bokeh.index[id];\n",
       "            }\n",
       "          }\n",
       "        }\n",
       "      });\n",
       "      // Destroy server and session\n",
       "      const cmd_destroy = \"import bokeh.io.notebook as ion; ion.destroy_server('\" + server_id + \"')\";\n",
       "      cell.notebook.kernel.execute(cmd_destroy);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when a new output is added\n",
       "   */\n",
       "  function handleAddOutput(event, handle) {\n",
       "    const output_area = handle.output_area;\n",
       "    const output = handle.output;\n",
       "\n",
       "    // limit handleAddOutput to display_data with EXEC_MIME_TYPE content only\n",
       "    if ((output.output_type != \"display_data\") || (!Object.prototype.hasOwnProperty.call(output.data, EXEC_MIME_TYPE))) {\n",
       "      return\n",
       "    }\n",
       "\n",
       "    const toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n",
       "\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"id\"] !== undefined) {\n",
       "      toinsert[toinsert.length - 1].firstChild.textContent = output.data[JS_MIME_TYPE];\n",
       "      // store reference to embed id on output_area\n",
       "      output_area._bokeh_element_id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n",
       "    }\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n",
       "      const bk_div = document.createElement(\"div\");\n",
       "      bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n",
       "      const script_attrs = bk_div.children[0].attributes;\n",
       "      for (let i = 0; i < script_attrs.length; i++) {\n",
       "        toinsert[toinsert.length - 1].firstChild.setAttribute(script_attrs[i].name, script_attrs[i].value);\n",
       "        toinsert[toinsert.length - 1].firstChild.textContent = bk_div.children[0].textContent\n",
       "      }\n",
       "      // store reference to server id on output_area\n",
       "      output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function register_renderer(events, OutputArea) {\n",
       "\n",
       "    function append_mime(data, metadata, element) {\n",
       "      // create a DOM node to render to\n",
       "      const toinsert = this.create_output_subarea(\n",
       "        metadata,\n",
       "        CLASS_NAME,\n",
       "        EXEC_MIME_TYPE\n",
       "      );\n",
       "      this.keyboard_manager.register_events(toinsert);\n",
       "      // Render to node\n",
       "      const props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n",
       "      render(props, toinsert[toinsert.length - 1]);\n",
       "      element.append(toinsert);\n",
       "      return toinsert\n",
       "    }\n",
       "\n",
       "    /* Handle when an output is cleared or removed */\n",
       "    events.on('clear_output.CodeCell', handleClearOutput);\n",
       "    events.on('delete.Cell', handleClearOutput);\n",
       "\n",
       "    /* Handle when a new output is added */\n",
       "    events.on('output_added.OutputArea', handleAddOutput);\n",
       "\n",
       "    /**\n",
       "     * Register the mime type and append_mime function with output_area\n",
       "     */\n",
       "    OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n",
       "      /* Is output safe? */\n",
       "      safe: true,\n",
       "      /* Index of renderer in `output_area.display_order` */\n",
       "      index: 0\n",
       "    });\n",
       "  }\n",
       "\n",
       "  // register the mime type if in Jupyter Notebook environment and previously unregistered\n",
       "  if (root.Jupyter !== undefined) {\n",
       "    const events = require('base/js/events');\n",
       "    const OutputArea = require('notebook/js/outputarea').OutputArea;\n",
       "\n",
       "    if (OutputArea.prototype.mime_types().indexOf(EXEC_MIME_TYPE) == -1) {\n",
       "      register_renderer(events, OutputArea);\n",
       "    }\n",
       "  }\n",
       "  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "    root._bokeh_timeout = Date.now() + 5000;\n",
       "    root._bokeh_failed_load = false;\n",
       "  }\n",
       "\n",
       "  const NB_LOAD_WARNING = {'data': {'text/html':\n",
       "     \"<div style='background-color: #fdd'>\\n\"+\n",
       "     \"<p>\\n\"+\n",
       "     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "     \"</p>\\n\"+\n",
       "     \"<ul>\\n\"+\n",
       "     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "     \"</ul>\\n\"+\n",
       "     \"<code>\\n\"+\n",
       "     \"from bokeh.resources import INLINE\\n\"+\n",
       "     \"output_notebook(resources=INLINE)\\n\"+\n",
       "     \"</code>\\n\"+\n",
       "     \"</div>\"}};\n",
       "\n",
       "  function display_loaded() {\n",
       "    const el = document.getElementById(\"1001\");\n",
       "    if (el != null) {\n",
       "      el.textContent = \"BokehJS is loading...\";\n",
       "    }\n",
       "    if (root.Bokeh !== undefined) {\n",
       "      if (el != null) {\n",
       "        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n",
       "      }\n",
       "    } else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(display_loaded, 100)\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function run_callbacks() {\n",
       "    try {\n",
       "      root._bokeh_onload_callbacks.forEach(function(callback) {\n",
       "        if (callback != null)\n",
       "          callback();\n",
       "      });\n",
       "    } finally {\n",
       "      delete root._bokeh_onload_callbacks\n",
       "    }\n",
       "    console.debug(\"Bokeh: all callbacks have finished\");\n",
       "  }\n",
       "\n",
       "  function load_libs(css_urls, js_urls, callback) {\n",
       "    if (css_urls == null) css_urls = [];\n",
       "    if (js_urls == null) js_urls = [];\n",
       "\n",
       "    root._bokeh_onload_callbacks.push(callback);\n",
       "    if (root._bokeh_is_loading > 0) {\n",
       "      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "      return null;\n",
       "    }\n",
       "    if (js_urls == null || js_urls.length === 0) {\n",
       "      run_callbacks();\n",
       "      return null;\n",
       "    }\n",
       "    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "    root._bokeh_is_loading = css_urls.length + js_urls.length;\n",
       "\n",
       "    function on_load() {\n",
       "      root._bokeh_is_loading--;\n",
       "      if (root._bokeh_is_loading === 0) {\n",
       "        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n",
       "        run_callbacks()\n",
       "      }\n",
       "    }\n",
       "\n",
       "    function on_error(url) {\n",
       "      console.error(\"failed to load \" + url);\n",
       "    }\n",
       "\n",
       "    for (let i = 0; i < css_urls.length; i++) {\n",
       "      const url = css_urls[i];\n",
       "      const element = document.createElement(\"link\");\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error.bind(null, url);\n",
       "      element.rel = \"stylesheet\";\n",
       "      element.type = \"text/css\";\n",
       "      element.href = url;\n",
       "      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n",
       "      document.body.appendChild(element);\n",
       "    }\n",
       "\n",
       "    for (let i = 0; i < js_urls.length; i++) {\n",
       "      const url = js_urls[i];\n",
       "      const element = document.createElement('script');\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error.bind(null, url);\n",
       "      element.async = false;\n",
       "      element.src = url;\n",
       "      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "      document.head.appendChild(element);\n",
       "    }\n",
       "  };\n",
       "\n",
       "  function inject_raw_css(css) {\n",
       "    const element = document.createElement(\"style\");\n",
       "    element.appendChild(document.createTextNode(css));\n",
       "    document.body.appendChild(element);\n",
       "  }\n",
       "\n",
       "  const js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-2.4.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-2.4.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.4.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.4.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-mathjax-2.4.3.min.js\"];\n",
       "  const css_urls = [];\n",
       "\n",
       "  const inline_js = [    function(Bokeh) {\n",
       "      Bokeh.set_log_level(\"info\");\n",
       "    },\n",
       "function(Bokeh) {\n",
       "    }\n",
       "  ];\n",
       "\n",
       "  function run_inline_js() {\n",
       "    if (root.Bokeh !== undefined || force === true) {\n",
       "          for (let i = 0; i < inline_js.length; i++) {\n",
       "      inline_js[i].call(root, root.Bokeh);\n",
       "    }\n",
       "if (force === true) {\n",
       "        display_loaded();\n",
       "      }} else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(run_inline_js, 100);\n",
       "    } else if (!root._bokeh_failed_load) {\n",
       "      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "      root._bokeh_failed_load = true;\n",
       "    } else if (force !== true) {\n",
       "      const cell = $(document.getElementById(\"1001\")).parents('.cell').data().cell;\n",
       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "    }\n",
       "  }\n",
       "\n",
       "  if (root._bokeh_is_loading === 0) {\n",
       "    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "    run_inline_js();\n",
       "  } else {\n",
       "    load_libs(css_urls, js_urls, function() {\n",
       "      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "      run_inline_js();\n",
       "    });\n",
       "  }\n",
       "}(window));"
      ],
      "application/vnd.bokehjs_load.v0+json": "(function(root) {\n  function now() {\n    return new Date();\n  }\n\n  const force = true;\n\n  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n    root._bokeh_onload_callbacks = [];\n    root._bokeh_is_loading = undefined;\n  }\n\n\n  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n    root._bokeh_timeout = Date.now() + 5000;\n    root._bokeh_failed_load = false;\n  }\n\n  const NB_LOAD_WARNING = {'data': {'text/html':\n     \"<div style='background-color: #fdd'>\\n\"+\n     \"<p>\\n\"+\n     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n     \"</p>\\n\"+\n     \"<ul>\\n\"+\n     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n     \"</ul>\\n\"+\n     \"<code>\\n\"+\n     \"from bokeh.resources import INLINE\\n\"+\n     \"output_notebook(resources=INLINE)\\n\"+\n     \"</code>\\n\"+\n     \"</div>\"}};\n\n  function display_loaded() {\n    const el = document.getElementById(\"1001\");\n    if (el != null) {\n      el.textContent = \"BokehJS is loading...\";\n    }\n    if (root.Bokeh !== undefined) {\n      if (el != null) {\n        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n      }\n    } else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(display_loaded, 100)\n    }\n  }\n\n  function run_callbacks() {\n    try {\n      root._bokeh_onload_callbacks.forEach(function(callback) {\n        if (callback != null)\n          callback();\n      });\n    } finally {\n      delete root._bokeh_onload_callbacks\n    }\n    console.debug(\"Bokeh: all callbacks have finished\");\n  }\n\n  function load_libs(css_urls, js_urls, callback) {\n    if (css_urls == null) css_urls = [];\n    if (js_urls == null) js_urls = [];\n\n    root._bokeh_onload_callbacks.push(callback);\n    if (root._bokeh_is_loading > 0) {\n      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n      return null;\n    }\n    if (js_urls == null || js_urls.length === 0) {\n      run_callbacks();\n      return null;\n    }\n    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n    root._bokeh_is_loading = css_urls.length + js_urls.length;\n\n    function on_load() {\n      root._bokeh_is_loading--;\n      if (root._bokeh_is_loading === 0) {\n        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n        run_callbacks()\n      }\n    }\n\n    function on_error(url) {\n      console.error(\"failed to load \" + url);\n    }\n\n    for (let i = 0; i < css_urls.length; i++) {\n      const url = css_urls[i];\n      const element = document.createElement(\"link\");\n      element.onload = on_load;\n      element.onerror = on_error.bind(null, url);\n      element.rel = \"stylesheet\";\n      element.type = \"text/css\";\n      element.href = url;\n      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n      document.body.appendChild(element);\n    }\n\n    for (let i = 0; i < js_urls.length; i++) {\n      const url = js_urls[i];\n      const element = document.createElement('script');\n      element.onload = on_load;\n      element.onerror = on_error.bind(null, url);\n      element.async = false;\n      element.src = url;\n      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      document.head.appendChild(element);\n    }\n  };\n\n  function inject_raw_css(css) {\n    const element = document.createElement(\"style\");\n    element.appendChild(document.createTextNode(css));\n    document.body.appendChild(element);\n  }\n\n  const js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-2.4.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-2.4.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.4.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.4.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-mathjax-2.4.3.min.js\"];\n  const css_urls = [];\n\n  const inline_js = [    function(Bokeh) {\n      Bokeh.set_log_level(\"info\");\n    },\nfunction(Bokeh) {\n    }\n  ];\n\n  function run_inline_js() {\n    if (root.Bokeh !== undefined || force === true) {\n          for (let i = 0; i < inline_js.length; i++) {\n      inline_js[i].call(root, root.Bokeh);\n    }\nif (force === true) {\n        display_loaded();\n      }} else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(run_inline_js, 100);\n    } else if (!root._bokeh_failed_load) {\n      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n      root._bokeh_failed_load = true;\n    } else if (force !== true) {\n      const cell = $(document.getElementById(\"1001\")).parents('.cell').data().cell;\n      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n    }\n  }\n\n  if (root._bokeh_is_loading === 0) {\n    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n    run_inline_js();\n  } else {\n    load_libs(css_urls, js_urls, function() {\n      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n      run_inline_js();\n    });\n  }\n}(window));"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# we use bokeh for plotting\n",
    "from bokeh.io import output_notebook, show\n",
    "from bokeh.layouts import grid\n",
    "from decimal import Decimal\n",
    "\n",
    "output_notebook()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3281ebfb",
   "metadata": {},
   "source": [
    "How Terra Market Module works\n",
    "---\n",
    "\n",
    "![terra](https://s3.cointelegraph.com/uploads/2022-04/60da569c-a688-441c-a308-445187c85fe2.png)\n",
    "\n",
    "The Market module enables atomic swaps between different Terra stablecoin denominations, and between Terra and Luna. This module ensures an available, liquid market, stable prices, and fair exchange rates between the protocol’s assets.\n",
    "\n",
    "The price stability of TerraSDR is achieved through Terra<>Luna arbitrage activity against the protocol’s algorithmic market-maker, which expands and contracts Terra’s supply to maintain its peg."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4d4d0cee",
   "metadata": {},
   "source": [
    "Terra/Lunc Conventions\n",
    "---\n",
    "\n",
    "There are two types of tokens that can be held by accounts and wallets in the Terra protocol:\n",
    "\n",
    "- Terra Stablecoins\n",
    "- Lunc\n",
    "\n",
    "Terra Stablecoins are transactional assets that are track the exchange rate of various fiat currencies. By convention, given a fiat currency, the Terra peg that corresponds to it is Terra-**<3-letter ISO4217 currency-code>** (see here) abbreviated **\\<country-code>T**, where the T replaces the currency's designator. For instance, TerraKRW is the peg for the Korean Won, and is abbreviated KRT.  \n",
    "\n",
    "Lunc, the native staking asset that entitles the staking delegator to mining rewards (including exchange rate ballot rewards) if bonded to an active validator. Lunc is also is necessary for making governance proposals and collateralizing the Terra economy.\n",
    "\n",
    "Both Terra (of all denominations) and Lunc tokens are divisible up to microunits (x10<sup>-6</sup>). \n",
    "The micro-unit is considered the atomic unit of tokens, and cannot be further divided.  \n",
    "\n",
    "Below is a list of several denominations that are recognized by the protocol at the time of writing:\n",
    "\n",
    "| **Denomination** | **Micro-Unit** | **Code** |   **Value**   |\n",
    "|:----------------:|:--------------:|:--------:|:-------------:|\n",
    "|       Lunc       |      µLunc     |   ulunc  | 0.000001 Lunc |\n",
    "|     TerraSDR     |      µSDR      |   usdr   | 0.000001 SDTC |\n",
    "|     TerraKRW     |      µKRW      |   ukrw   | 0.000001 KRTC |\n",
    "|     TerraUSD     |      µUSD      |   uusd   | 0.000001 USTC |\n",
    "\n",
    "\n",
    "Terra Currency Vs Terra Peg\n",
    "---\n",
    "\n",
    "When talking about the price of LUNC we make a clear distinction between the **LUNC/Terra<sup>Currency</sup>** pair and the **LUNC/Terra<sup>Peg</sup>** pair.  \n",
    "\n",
    "#### Examples\n",
    "\n",
    "| **Denomination** | **Terra Currency** | **Terra Peg** | **LUNC/Terra<sup>Currency</sup>** | **LUNC/Terra<sup>Peg</sup>** |\n",
    "|:----------------:|:------------------:|:-------------:|:---------------------------------:|:----------------------------:|\n",
    "|       USTC       |      US**TC**      |    US**D**    |           LUNC/US**TC**           |         LUNC/US**D**         |\n",
    "|       SDTC       |      SD**TC**      |    SD**T**    |           LUNC/SD**TC**           |         LUNC/SD**R**         |\n",
    "|       KRTC       |      KR**TC**      |    KR**W**    |           LUNC/KR**TC**           |         LUNC/KR**W**         |\n",
    "|       EUTC       |      EU**TC**      |    EU**R**    |           LUNC/EU**TC**           |         LUNC/EU**R**         |\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ada02010",
   "metadata": {},
   "source": [
    "Using Terra SDK\n",
    "---\n",
    "\n",
    "- [Read the doc](https://terra-money.github.io/terra.py/index.html)\n",
    "- [terra-sdk v2.0.6](https://pypi.org/project/terra-sdk/2.0.6/)\n",
    "- [terra-proto v1.1.0](https://pypi.org/project/terra-proto/1.1.0/)\n",
    "\n",
    "In order to interact with the Terra blockchain, you’ll need a connection to a Terra node. This can be done through setting up an LCDClient:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cc637306",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "terrad version: 2.1.1\n",
      "cosmos sdk version: v0.45.14\n"
     ]
    }
   ],
   "source": [
    "from terra_sdk.client.lcd import LCDClient\n",
    "\n",
    "# connnecting to the blockchain\n",
    "terra = LCDClient(chain_id=\"columbus-5\", url=\"https://lcd.terra.dev\")\n",
    "node_info = terra.tendermint.node_info()\n",
    "app_version = node_info[\"application_version\"]\n",
    "\n",
    "# print node info\n",
    "print(f\"terrad version: {app_version['version']}\")\n",
    "print(f\"cosmos sdk version: {app_version['cosmos_sdk_version']}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0d93a2aa",
   "metadata": {},
   "source": [
    "The Terra Classic Oracle\n",
    "---\n",
    "\n",
    "The Oracle module provides the Terra blockchain with an up-to-date and accurate price feed of exchange rates of Luna against various Terra pegs so that the Market may provide fair exchanges between Terra<>Terra currency pairs, as well as Terra<>Luna.\n",
    "\n",
    "As price information is extrinsic to the blockchain, the Terra network relies on validators to periodically vote on the current Luna exchange rate, with the protocol tallying up the results once per VotePeriod and updating the on-chain exchange rate as the weighted median of the ballot converted Cross Exchange Rates using ReferenceTerra.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8903d12f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ticker                Price               \n",
      "LUNC/AUD        0.000131711489528299\n",
      "LUNC/CAD        0.000116239766435493\n",
      "LUNC/CHF        7.8572897850015e-05\n",
      "LUNC/CNY        0.000636569799073119\n",
      "LUNC/DKK        0.000598899606697139\n",
      "LUNC/EUR        8.0419794131138e-05\n",
      "LUNC/GBP        6.906538193616e-05\n",
      "LUNC/HKD        0.000687728183637236\n",
      "LUNC/IDR        1.3198684021860687\n",
      "LUNC/INR        0.007204464832973438\n",
      "LUNC/JPY        0.01266391162663878\n",
      "LUNC/KRW        0.11551258250900111\n",
      "LUNC/MNT        0.3022639316305531\n",
      "LUNC/MYR        0.000409610333781995\n",
      "LUNC/NOK        0.00094273436302436\n",
      "LUNC/PHP        0.004850733328192082\n",
      "LUNC/SDR        6.5891498451622e-05\n",
      "LUNC/SEK        0.000946662695596247\n",
      "LUNC/SGD        0.000118666624237016\n",
      "LUNC/THB        0.00309525340623296\n",
      "LUNC/TWD        0.00273465042275629\n",
      "LUNC/USD        8.7757930191757e-05\n"
     ]
    }
   ],
   "source": [
    "from terra_sdk.core import Dec, Coin, Coins\n",
    "from cpy_amm.market import MarketQuote\n",
    "import pprint\n",
    "\n",
    "# retrieve quotes from blockchainn\n",
    "coins = Coins(terra.oracle.exchange_rates())\n",
    "# convert to MarketQuote  \n",
    "quotes = [MarketQuote(f\"LUNC/{coin.denom[1:].upper()}\", float(coin.amount)) for coin in coins]\n",
    "# store quotes in dict\n",
    "oracle_quotes = {quote.ticker: quote for quote in quotes}\n",
    "\n",
    "# print \n",
    "print(f\"Ticker{'':<15} Price{'':<15}\")\n",
    "for quote in quotes:\n",
    "    print (f\"{quote.ticker:<15} {quote.price:<15}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fede97b8",
   "metadata": {},
   "source": [
    "Market Making Algorithm\n",
    "---\n",
    "\n",
    "Terra uses a Constant Product market-making algorithm to ensure liquidity for Terra<>Luna swaps. \n",
    "\n",
    "With Constant Product, a value, $ CP $, is set to the size of the Terra pool multiplied by a set fiat value of Luna, and ensure our market-maker maintains it as invariant during any swaps by adjusting the spread.\n",
    "\n",
    "> **ℹ️ NOTE**  \n",
    "> The Terra blockchain’s implementation of Constant Product diverges from Uniswap’s, as the **fiat value** of Lunc is used instead of the size of the Luna pool. This nuance means changes in the price of Luna does not affect the product, but rather the size of the Luna pool.\n",
    "\n",
    "$$ CP = Pool_{Terra} * Pool_{Luna} * (Price_{Luna}/Price_{SDR}) $$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "332db1aa",
   "metadata": {},
   "source": [
    "> **ℹ️ NOTE**  \n",
    "> 1. $(Price_{Luna}/Price_{SDR})$ means the price of the pair $\\text{LUNC/SDR}$  \n",
    "> 2. Dividing both sides by the price of the pair ${\\text{LUNC/SDR}}$ gives a Uniswap like constant product formula where $CP$ changes everytime the Oracle publishes a new price for the pair: **It is constant piecewise**\n",
    ">\n",
    "> $$ CP^\\text{Uniswap} = Pool_{Terra} * Pool_{Luna} \\text{ where } CP^\\text{Uniswap} = {CP \\over {(Price_{Luna}/Price_{SDR})}} $$ \n",
    "\n",
    "\n",
    "For example, start with equal pools of Terra and Luna, both worth 1000 SDR total. The size of the Terra pool is 1000 SDT, and assuming the price of Luna<>SDR is 0.5, the size of the Luna pool is 2000 Luna. A swap of 100 SDT for Luna would return around 90.91 SDR worth of Luna (≈ 181.82 Luna). The offer of 100 SDT is added to the Terra pool, and the 90.91 SDT worth of Luna are taken out of the Luna pool."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "32f79e45",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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   "source": [
    "from cpy_amm.market import Pool, MarketQuote, MarketPair\n",
    "from cpy_amm.plotting import cp_amm_autoviz\n",
    "\n",
    "# size of the SDT pool\n",
    "sdt_pool_size = 1000\n",
    "# LUNC/SDR market quote\n",
    "lunc_sdr = MarketQuote(\"LUNC/SDR\", 0.5)\n",
    "# liquidity pool made up of reserves SDT\n",
    "sdt_pool = Pool(\"SDT\", sdt_pool_size)\n",
    "# liquidity pool made up of reserves of LUNC\n",
    "lunc_pool = Pool(\"LUNC\", sdt_pool_size/lunc_sdr.price)\n",
    "# create a market for SDT/LUNC\n",
    "mkt = MarketPair(sdt_pool, lunc_pool, 0, 0.5)\n",
    "# autoviz for constant product amm pools\n",
    "cp_amm_autoviz(mkt)"
   ]
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    "Virtual Liquidity Pools\n",
    "---\n",
    "\n",
    "The market starts out with two liquidity pools of equal sizes, one representing all denominations of Terra and another representing Lunc. The parameter **BasePool** defines the initial size, $ Pool_{Base} $ , of the Terra and Lunc liquidity pools.\n",
    "\n",
    "Rather than keeping track of the sizes of the two pools, this information is encoded in a number , which the blockchain stores as **TerraPoolDelta**. This represents the deviation of the Terra pool from its base size in units µSDR.\n",
    "\n",
    "The size of the Terra and Lunc liquidity pools can be generated from using the following formulas:\n",
    "\n",
    "$$ Pool_{Terra} = Pool_{Base} + \\delta $$\n",
    "$$ Pool_{Lunc} = ({Pool_{Base}})^2 / Pool_{Terra} $$"
   ]
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    "> **ℹ️ NOTE**  \n",
    "> The size of the Terra and Lunc liquidity pools using the above formulas are expressed in **FIAT value**  \n",
    ">\n",
    "> $Pool_{Terra} = \\text{1000 SDTC tokens}$  \n",
    "> $Pool_{Lunc} = \\text{1000 SDR worth of LUNC tokens}$  \n",
    ">\n",
    "> 1. It assumes $\\text{1 SDTC = 1 SDR}$  \n",
    "> 2. **This is where the peg value comes from**"
   ]
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   "source": [
    "#### Token Vs Fiat value using the same example as above"
   ]
  },
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   "id": "b7779f5b",
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       "  function embed_document(root) {\n",
       "  const docs_json = {\"96cca547-3f3e-4452-a765-bff6ba41d0ff\":{\"defs\":[],\"roots\":{\"references\":[{\"attributes\":{\"children\":[[{\"id\":\"1649\"},0,0,1,1],[{\"id\":\"1721\"},0,1,1,1],[{\"id\":\"1793\"},1,0,1,1],[{\"id\":\"1908\"},1,1,1,1]],\"sizing_mode\":\"stretch_both\"},\"id\":\"2167\",\"type\":\"GridBox\"},{\"attributes\":{\"source\":{\"id\":\"1683\"}},\"id\":\"1709\",\"type\":\"CDSView\"},{\"attributes\":{\"data\":{\"x\":[1000.0],\"y\":[2000.0]},\"selected\":{\"id\":\"1904\"},\"selection_policy\":{\"id\":\"1903\"}},\"id\":\"1884\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"label\":{\"value\":\"LUNC 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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"AAAAAACI00DmLvirOJ7SQCwrD8dTydFA5euwhKMG0UDM3tCT6lPQQFt3ie+LXs9AoP071TcuzkAY/tr+HBTNQLR9ey/iDcxAAAAAAIAZy0BTIARoMzXKQIdtt9lyX8lAtfk8YuWWyEDS2URiW9rHQF9ExovIKMdA1S+K5D6BxkAIBlqb6uLFQCRgYogOTcVAwcKROQG/xEDokRJyKjjEQP777AgBuMNAA864Fgk+w0BZu1Bl0snCQOfu4Bb3WsJApxGWexrxwUAq27sO6IvBQG28V5USK8FANmVNWVPOwEDCPex8aXXAQNohcGMZIMBA0pIYV1icv0D+kRZz3v6+QMxK3p1nZ75AG6mYW53VvUBCW7qML0m9QLo5BtvTwbxASLMzNkU/vECT11BeQ8G7QPeEOnqSR7tASAW+uPrRukDytSf7R2C6QBCTK4hJ8rlAt8U3xtGHuUDHm1/8tSC5QHlaJxnOvLhA+9GPfvRbuEA0AtTSBf63QPnyW9XgordAIn12N2ZKt0B5eHh4ePS2QJbY6sT7oLZARfN62NVPtkDepmji7QC2QPiINWwstLVAmNBeQntptUBZcvFexSC1QFP6zNX22bRAXi1uwvyUtEBwdR43xVG0QDWjaC0/ELRAprC2d1rQs0AR+f6zB5KzQEbWaT84VbNAvsjaKt4Zs0DpSkow7N+yQGA036hVp7JAMSe4gw5wskB37VY9CzqyQAD0oNdABbJAmjRp0qTRsUBd63gkLZ+xQJ1gDTXQbbFAl+jB1YQ9sUBr/N08Qg6xQAAAAAAA4LBAr+cdD7aysEBGgdWvXIawQPKmBnnsWrBAzxmyTl4wsEBCLhheqwawQOGtJTSau69AvelNb3prr0ACS5JV6xyvQEkkpUbhz65AQxFFFFGErkCux9P8LzquQB8HO6Zz8a1AM5AaGRKqrUCvazq8AWStQGUiPVA5H61A99eN66/brEAFhYb2XJmsQNfRyic4WKxA1VHUgDkYrEBDGq1KWdmrQErk1RKQm6tA3xtVqNZeq0DQauwYJiOrQFx5cq536KpA7MRO7MSuqkCCkRWNB3aqQOUbQoA5PqpAlFEN6FQHqkBhcF8XVNGpQN8J248xnKlAAAAAAOhnqUDQJmVBcjSpQNtMB1fLAalAdH+sa+7PqECtclrQ1p6oQPgF3/p/bqhAWO5phOU+qEAXnjYoAxCoQNKPRcLU4adAqCckTla0p0BtacLlg4enQEfOVcBZW6dAYI5IMdQvp0CEvTSn7wSnQKui6qqo2qZAAbuB3vuwpkBC4XP85YemQMIZwtZjX6ZAmooiVnI3pkAiLjd5DhCmQCjUzFM16aVANQwiDuTCpUCjmDXkF52lQKIPHCXOd6VA71NcMgRTpUDIk1J/ty6lQN2AmZDlCqVACHh5+4vnpECEU11lqMSkQNGlTIM4oqRA3R5rGTqApEBd4Hz6ql6kQAiJbweJPaRAdsHnLtIcpEDuF9NshPyjQPz6/cmd3KNAGaWtWxy9o0DgzT1D/p2jQG73wa1Bf6NAoDCq0+Rgo0CqJmv45UKjQHBiKWpDJaNAo49ngfsHo0BYrbegDOuiQEEJbzR1zqJALehcsjOyokDdv4OZRpaiQGzn1HGseqJA4aTuy2NfokCgf9xAa0SiQH7A2XHBKaJAawkWCGUPokCC73u0VPWhQEuDeS+P26FA/LPKOBPCoUAue0WX36ihQHu/pxjzj6FAMt1mkUx3oUDqxIDc6l6hQKigTtvMRqFAyPBYdfEuoUCWEi2YVxehQAUjNDf+/6BArDCLS+TooECNsNzTCNKgQNkpO9Rqu6BARA39VQmloEARrZln446gQFJLhxz4eKBAaTQajUZjoEAe3GTWzU2gQBz0GBqNOKBA+nJpfoMjoEBVg+0tsA6gQJqlCK8k9J9ARnJzXFLLn0DHX1fS56KfQOcm4Ybjep9AD03890NTn0DUoiKrByyfQC0tLS0tBZ9ANG0mErPenkB1+h31l7ieQIJk/Xfakp5A11BeQ3ltnkCCymEGc0ieQHa5iHbGI55AxXeNT3L/nUBlez5TddudQHMLWknOt51ASvhq/3uUnUD9TaZIfXGdQEX5yf3QTp1A/Fb8/HUsnUCypqwpawqdQDpZdGyv6JxAHDT5skHHnEBKQ9DvIKacQKWSYRpMhZxACqnMLsJknEDqvs0tgkScQJ2qoxyLJJxA5nz2BNwEnEApyL70c+WbQDaNLf5RxptAjsiUN3Wnm0BYm1C73IibQEMLsaeHaptA4lTkHnVMm0AQzOFGpC6bQC5GVUkUEZtAJgqLU8TzmkA0QlyWs9aaQMDrG0bhuZpAeUGEmkydmkA5nKTO9ICaQDXHzyDZZJpAMMSK0vhImkBl/HsoUy2aQB/bWmrnEZpA8s7f4rT2mUCjrrTfutuZQAN/ZbH4wJlA4JZRq22mmUCWHp0jGYyZQHzoInP6cZlA3J9m9RBYmUD+S4cIXD6ZQPMkMg3bJJlA6reVZo0LmUDTWFV6cvKYQEHffLCJ2ZhAc6x0c9LAmECZ+PUvTKiYQFBl/1T2j5hAlNPJU9B3mEBJe72f2V+YQJtCZ64RSJhAjFNu93cwmEAF7on0CxmYQMd0dyHNAZhAzrPw+7rql0B9XqID1dOXQELEIroavZdALrrooouml0A3uEJDJ5CXQL0oTiLteZdAC+nuyNxjl0Co+cbB9U2XQBxdLpk3OJdAFSQr3aEil0DCpWkdNA2XQDjjNOvt95ZA4xRv2c7ilkDdYIp81s2WQDu5gWoEuZZAQOHROliklkCQmHKG0Y+WQFrrz+dve5ZAuKbD+jJnlkAv8I5cGlOWQKP/06slP5ZAxPqPiFQrlkA88RSUpheWQMf4A3EbBJZAcGhHw7LwlUA9Mg0wbN2VQIBawV1HypVALowI9EO3lUBuybqbYaSVQNI33v6fkZVAgweiyP5+lUC5dFmlfWyVQPTidkIcWpVARxGHTtpHlUAsZyx5tzWVQE9ZGnOzI5VAuOUQ7s0RlUDZJticBgCVQOn8OzNd7pRAFs0HZtHclEAMVgLrYsuUQEaZ6XgRupRA0dhux9yolEDeqDKPxJeUQNsUwYnIhpRAiNeNceh1lECjpfABJGWUQMWKIfd6VJRA/lc1Du1DlEDZIxoFejOUQFfbk5ohI5RAj+M4juMSlECCy26gvwKUQOgNZ5K18pNAdOIbJsXik0BeHk0e7tKTQMQjfT4ww5NAoN/tSouzk0D31Z0I/6OTQPw7RT2LlJNA1h9Try+Fk0C7neol7HWTQBwi4GjAZpNAoLi2QKxXk0CYZ512r0iTQLqXbNTJOZNA2oejJPsqk0BZzGUyQxyTQB3aeMmhDZNAvZxBthb/kkDDF8LFofCSQKUSl8VC4pJAXc/1g/nTkkBay6nPxcWSQIqKEnint5JAWmwhTZ6pkkByilcfqpuSQPGgw7/KjZJAAAAAAACAkkCRhjCySXKSQAimAKmnZJJAuG6htxlXkkDxpMexn0mSQIHeqWs5PJJAdaj+ueYu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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]}},\"selected\":{\"id\":\"1955\"},\"selection_policy\":{\"id\":\"1954\"}},\"id\":\"1941\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"red\"},\"hatch_alpha\":{\"value\":0.1},\"hatch_color\":{\"value\":\"red\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"red\"},\"size\":{\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2099\",\"type\":\"Circle\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"navy\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1866\",\"type\":\"Line\"},{\"attributes\":{\"coordinates\":null,\"group\":null,\"items\":[{\"id\":\"1843\"}]},\"id\":\"1842\",\"type\":\"Legend\"},{\"attributes\":{},\"id\":\"2124\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"line_alpha\":0.6,\"line_color\":\"navy\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2036\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"1770\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"coordinates\":null,\"data_source\":{\"id\":\"1864\"},\"glyph\":{\"id\":\"1865\"},\"group\":null,\"hover_glyph\":null,\"muted_glyph\":{\"id\":\"1867\"},\"nonselection_glyph\":{\"id\":\"1866\"},\"view\":{\"id\":\"1869\"}},\"id\":\"1868\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"source\":{\"id\":\"1683\"}},\"id\":\"1690\",\"type\":\"CDSView\"},{\"attributes\":{\"line_alpha\":0.2,\"line_color\":\"navy\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1867\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"2125\",\"type\":\"Selection\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.4},\"fill_color\":{\"value\":\"red\"},\"hatch_alpha\":{\"value\":0.4},\"hatch_color\":{\"value\":\"red\"},\"line_alpha\":{\"value\":0.4},\"line_color\":{\"value\":\"red\"},\"size\":{\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1885\",\"type\":\"Circle\"},{\"attributes\":{},\"id\":\"1771\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"1664\",\"type\":\"BasicTicker\"},{\"attributes\":{\"source\":{\"id\":\"1755\"}},\"id\":\"1762\",\"type\":\"CDSView\"},{\"attributes\":{\"overlay\":{\"id\":\"1673\"}},\"id\":\"1669\",\"type\":\"BoxZoomTool\"},{\"attributes\":{},\"id\":\"1882\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"1881\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"1955\",\"type\":\"Selection\"},{\"attributes\":{\"axis\":{\"id\":\"1660\"},\"coordinates\":null,\"grid_line_color\":null,\"group\":null,\"ticker\":null},\"id\":\"1662\",\"type\":\"Grid\"},{\"attributes\":{},\"id\":\"1954\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"1953\",\"type\":\"AllLabels\"},{\"attributes\":{},\"id\":\"2126\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"1769\",\"type\":\"AllLabels\"},{\"attributes\":{},\"id\":\"2127\",\"type\":\"Selection\"},{\"attributes\":{\"coordinates\":null,\"group\":null,\"items\":[{\"id\":\"1774\"},{\"id\":\"1792\"}]},\"id\":\"1773\",\"type\":\"Legend\"},{\"attributes\":{},\"id\":\"1834\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{},\"id\":\"1661\",\"type\":\"CategoricalTicker\"},{\"attributes\":{},\"id\":\"1768\",\"type\":\"CategoricalTickFormatter\"},{\"attributes\":{},\"id\":\"1765\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{\"tools\":[{\"id\":\"1927\"},{\"id\":\"1928\"},{\"id\":\"1929\"},{\"id\":\"1930\"},{\"id\":\"1931\"},{\"id\":\"1932\"},{\"id\":\"1977\"},{\"id\":\"2007\"},{\"id\":\"2033\"},{\"id\":\"2089\"},{\"id\":\"2129\"},{\"id\":\"2165\"}]},\"id\":\"1934\",\"type\":\"Toolbar\"},{\"attributes\":{},\"id\":\"1658\",\"type\":\"LinearScale\"},{\"attributes\":{},\"id\":\"1766\",\"type\":\"AllLabels\"},{\"attributes\":{},\"id\":\"1837\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{\"coordinates\":null,\"data_source\":{\"id\":\"1683\"},\"glyph\":{\"id\":\"1686\"},\"group\":null,\"hover_glyph\":null,\"muted_glyph\":{\"id\":\"1688\"},\"nonselection_glyph\":{\"id\":\"1687\"},\"view\":{\"id\":\"1690\"}},\"id\":\"1689\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"source\":{\"id\":\"2009\"}},\"id\":\"2014\",\"type\":\"CDSView\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.2},\"fill_color\":{\"value\":\"red\"},\"hatch_alpha\":{\"value\":0.2},\"hatch_color\":{\"value\":\"red\"},\"line_alpha\":{\"value\":0.2},\"line_color\":{\"value\":\"red\"},\"size\":{\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2012\",\"type\":\"Circle\"},{\"attributes\":{\"coordinates\":null,\"data_source\":{\"id\":\"1941\"},\"glyph\":{\"id\":\"1942\"},\"group\":null,\"hover_glyph\":null,\"muted_glyph\":{\"id\":\"1944\"},\"nonselection_glyph\":{\"id\":\"1943\"},\"view\":{\"id\":\"1946\"}},\"id\":\"1945\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"data\":{\"x\":[1100.0],\"y\":[909.090909090909]},\"selected\":{\"id\":\"2031\"},\"selection_policy\":{\"id\":\"2030\"}},\"id\":\"2009\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"line_alpha\":0.2,\"line_color\":\"navy\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1944\",\"type\":\"Line\"},{\"attributes\":{\"coordinates\":null,\"data_source\":{\"id\":\"2009\"},\"glyph\":{\"id\":\"2010\"},\"group\":null,\"hover_glyph\":null,\"muted_glyph\":{\"id\":\"2012\"},\"name\":\"319829196537663394\",\"nonselection_glyph\":{\"id\":\"2011\"},\"view\":{\"id\":\"2014\"}},\"id\":\"2013\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"data\":{\"LUNC\":[1000.0],\"SDTC\":[1000.0],\"steps\":[\"Initial deposit\"]},\"selected\":{\"id\":\"1699\"},\"selection_policy\":{\"id\":\"1698\"}},\"id\":\"1683\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"navy\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1943\",\"type\":\"Line\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"navy\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2037\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"2030\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"data\":{\"LUNC\":[2000.0],\"SDTC\":[1000.0],\"steps\":[\"Initial deposit\"]},\"selected\":{\"id\":\"1771\"},\"selection_policy\":{\"id\":\"1770\"}},\"id\":\"1755\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"1656\",\"type\":\"CategoricalScale\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"red\"},\"hatch_alpha\":{\"value\":0.1},\"hatch_color\":{\"value\":\"red\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"red\"},\"size\":{\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"2011\",\"type\":\"Circle\"},{\"attributes\":{},\"id\":\"1835\",\"type\":\"AllLabels\"},{\"attributes\":{},\"id\":\"1694\",\"type\":\"AllLabels\"}],\"root_ids\":[\"2167\"]},\"title\":\"Bokeh Application\",\"version\":\"2.4.3\"}};\n",
       "  const render_items = [{\"docid\":\"96cca547-3f3e-4452-a765-bff6ba41d0ff\",\"root_ids\":[\"2167\"],\"roots\":{\"2167\":\"8d110309-07ce-4222-8dcf-7d1573004564\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    let attempts = 0;\n",
       "    const timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "2167"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from cpy_amm.market import Pool, MarketPair\n",
    "from cpy_amm.plotting import new_constant_product_figure, new_price_impact_figure, new_pool_figure\n",
    "\n",
    "# size of the SDT pool\n",
    "base_pool = 1000\n",
    "# we start with equal pools so delta=0\n",
    "terra_pool_delta = 0\n",
    "# liquidity pool made up of reserves SDT\n",
    "terra_pool = Pool(\"SDTC\", base_pool+terra_pool_delta)\n",
    "# using the formula above\n",
    "lunc_pool_fiat = Pool(\"LUNC\", base_pool**2/terra_pool.balance)\n",
    "# using the previous example\n",
    "lunc_pool_token = Pool(\"LUNC\", sdt_pool_size/lunc_sdr.price)\n",
    "# create fiat and token markets \n",
    "fiat_mkt = MarketPair(terra_pool, lunc_pool_fiat, 0, lunc_sdr.price)\n",
    "token_mkt = MarketPair(terra_pool, lunc_pool_token, 0, lunc_sdr.price)\n",
    "# pools fiat vs tokens\n",
    "pool_fiat_figure = new_pool_figure(terra_pool, lunc_pool_fiat, steps=[\"Initial deposit\"])\n",
    "pool_token_figure = new_pool_figure(terra_pool, lunc_pool_token, steps=[\"Initial deposit\"])\n",
    "# constant product fiat vs tokens\n",
    "cp_figure = new_constant_product_figure(fiat_mkt)\n",
    "cp_figure = new_constant_product_figure(token_mkt, bokeh_figure=cp_figure)\n",
    "# price impact fiat vs tokens\n",
    "price_impact_figure = new_price_impact_figure(fiat_mkt)\n",
    "price_impact_figure = new_price_impact_figure(token_mkt, bokeh_figure=price_impact_figure)\n",
    "# display figures\n",
    "show(grid([[pool_fiat_figure, pool_token_figure], [cp_figure, price_impact_figure]], sizing_mode=\"stretch_both\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a0c0d9f5",
   "metadata": {},
   "source": [
    "#### Using data from Columbus-5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a2d7eeef",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "base pool parameter from Columbus-5: 100000000.0000000000\n",
      "terra pool  delta parameter from Columbus-5: 0.0000000000\n"
     ]
    }
   ],
   "source": [
    "from terra_sdk.core import Dec\n",
    "\n",
    "# convert µSDR (1µSDR=0.000001SDR) to any denom supported by the Oracle eg. µSDR -> SDR, µSDR -> USD etc.\n",
    "def usdr_to_denom(usdr: Dec, denom: str) -> float:\n",
    "    #get LUNC/DENOM FX from oracle\n",
    "    lunc_denom_fx = oracle_quotes[f\"LUNC/{denom}\"].price\n",
    "    #get LUNC/SDR FX from oracle and convert to SDR/LUNC\n",
    "    sdr_lunc_fx = 1/oracle_quotes[f\"LUNC/SDR\"].price\n",
    "    #Convert µSDR -> SDR -> DENOM using LUNC as pivot currency\n",
    "    usdr_in_denom = 0.000001*float(usdr)*sdr_lunc_fx*lunc_denom_fx\n",
    "    return usdr_in_denom\n",
    "\n",
    "# retrieve the base pool state variable from Columbus-5 \n",
    "base_pool = usdr_to_denom(terra.market.parameters()[\"base_pool\"], \"SDR\")\n",
    "# retrieve the terra pool delta state variable from Columbus-5 \n",
    "terra_pool_delta = usdr_to_denom(terra.market.terra_pool_delta(), \"SDR\")\n",
    "\n",
    "print(f\"base pool parameter from Columbus-5: {base_pool:.10f}\")\n",
    "print(f\"terra pool  delta parameter from Columbus-5: {terra_pool_delta:.10f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "3844016f",
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    "scrolled": false
   },
   "outputs": [
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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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   "source": [
    "from cpy_amm.market import Pool, MarketPair\n",
    "from cpy_amm.plotting import cp_amm_autoviz\n",
    "\n",
    "# liquidity pool made up of reserves SDTC\n",
    "terra_pool = Pool(\"SDTC\", (base_pool+terra_pool_delta))\n",
    "# liquidity pool made up of reserves of LUNC\n",
    "lunc_pool = Pool(\"LUNC\", base_pool**2/terra_pool.balance)\n",
    "# create a market for SDTC/LUNC\n",
    "mkt = MarketPair(terra_pool, lunc_pool, 0, lunc_sdr.price)\n",
    "# autoviz for constant product amm pools\n",
    "cp_amm_autoviz(mkt)"
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    "Replenish pools\n",
    "---\n",
    "\n",
    "At the end of each block, the market module attempts to replenish the pools by decreasing the magnitude of $\\delta$ between the Terra and Luna pools. The rate at which the pools will be replenished toward equilibrium is set by the parameter PoolRecoveryPeriod. Lower periods mean lower sensitivity to trades: previous trades are more quickly forgotten and the market is able to offer more liquidity.\n",
    "\n",
    "This mechanism ensures liquidity and acts as a low-pass filter, allowing for the spread fee (which is a function of TerraPoolDelta) to drop back down when there is a change in demand, causing a necessary change in supply which needs to be absorbed.  \n",
    "\n",
    "> **ℹ️ NOTE**  \n",
    "> Replenish pools acts as a **money printer** for the protocol  \n",
    "> The pool is at equilibrium when the mid price is 1 eg. swap **1** USTC for 1 USD worth of LUNC  \n",
    "> Arbing the pool will result in a new mid price eg. swap **1.2** USTC for 1 USD worth of LUNC  \n",
    "> ReplenishPool will create new tokens (mint?) to trade the pool back to equilibrium  \n",
    "> **ReplenishPool changes the total supply**"
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   "source": [
    "#### Replenish pool by decreasing the magnitude of $\\delta$\n",
    "\n",
    "In the example below we start with 1000 SDTC and 2000 LUNC in the pools. We swap 300 SDTC for ~462 LUNC and there is now 1300 SDTC and ~1538 LUNC in the pools. \n",
    "The \"replenish\" process will then mint a total of ~462 LUNC to swap against USTC until we go back to the initial 1000 SDTC and 2000 LUNC tokens in the pool.  \n",
    "This process happens during the pool recovery period which is currently **18 blocks.**"
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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"0UUXXXTB0UC/ukdamXTRQAiKGZ5MKtFAeOpaDm7i0ED6zdah35zQQDeFcTaFWdBAmHYwa0QY0EDhPoL7CLLPQHs+QVZcN89ATK4gJlfAzkBk6Bs80EzOQA+BG8ug3M1A/gt7PKRvzUAGkzkIuAXNQNOpeZC7nsxAAAAAAJA6zEC8E2grGNnLQIBbznQ4estApQi2sdYdy0C+hPYS2sPKQCUbgg4rbMpA6PTbSrMWykCkuheMXcPJQMPmQKIVcslAZCELWcgiyUDt8a9oY9XIQM+04GfVichA7R62vg1AyEACtIia/PfHQLR5n+KSscdAyeOjLcJsx0C4fMu3fCnHQNgtqVm158ZAbEeZf1+nxkDyhrwhb2jGQKpcd7zYKsZA/5prSZHuxUA5juM4jrPFQJU6pmvFecVALS0tLS1BxUAE6jQuvAnFQFeRoX9p08RAStmxjSyexEAX8Hob/WnEQJxHqD7TNsRAc656W6cExEBKdQIhctPDQBeykIUso8NAn/5bw89zw0BVVVVVVUXDQBjvKfS2F8NA/z5vk+7qwkD2XvZe9r7CQDJxRLjIk8JA86ctNGBpwkDezpCYtz/CQHhXMdrJFsJA+g2uGpLuwUBNvJKmC8fBQDgfg/MxoMFAqa19ngB6wUDRyzRqc1TBQLMbfT2GL8FAt7LPITULwUB3EN9BfOfAQMvFPehXxMBAvswVfsShwEB8ou+Jvn/AQENDiK5CXsBApza1qU09wEB151VT3BzAQHQdozjX+b9AjglCG/G6v0A6q8eOAH2/QAAAAAAAQL9AUJ+XBuoDv0AKl4Jjuci+QDNydf9ojr5Awnpv6fNUvkBVVVVVVRy+QK4im5qI5L1AJl/9MomtvUB2w0e5Une9QB51KejgQb1Ajt4VmS8NvUCbkDHDOtm8QLmXSnr+pbxAb7fb7XZzvECDBhpooEG8QFxtDE13ELxAL4+sGfjfu0CgrBBjH7C7QPIUntXpgLtAH8BDNFRSu0DhsbxXWyS7QILK2S389rpAGa/SuDPKukBGd50O/526QMvSTFhbcrpAF1100UVHukDs2JLHuxy6QHgRgpm68rlAzCHstj/JuUCU5sWfSKC5QPxgzuPSd7lAg9QSItxPuUAQbHcIYii5QCc1RFNiAblAekK2zNrauEBMyZRMybS4QDkPyrcrj7hAAAAAAABquEDJREAjREW4QDS4lyv2ILhALxS9LhT9t0AuuLpNnNm3QPRnm7SMtrdAcOQZmuOTt0DRQVM/n3G3QPjee++9T7dA4OOW/z0ut0C7LTDOHQ23QIuQGMNb7LZAOFckT/bLtkDs6+vr66u2QMWTjhs7jLZAgil3aOJstkD0wyJl4E22QKI16aszL7ZACFTH3toQtkBP9Sqn1PK1QH+UwLUf1bVAaIxCwrq3tUCA2kmLpJq1QFxbINbbfbVAIHOUbl9htUC5FM4mLkW1QF0bJddGKbVAL+r4XagNtUB+RomfUfK0QHRh0IVB17RAnAZeAHe8tED15DME8aG0QLvooouuh7RAfpwplq5ttEB2iFMo8FO0QEKHmUtyOrRA2AdDDjQhtECDNEiDNAi0QCz3NMJy77NAjNMM5+3Ws0AWkC8Spb6zQLmmPmiXprNA0nYDEsSOs0D+MVY8KnezQJl9BRjJX7NACMO+2Z9Is0AjKfe5rTGzQD0x1fTxGrNAhvIaymsEs0C77hB9Gu6yQCl7cVT917JAZblUmhPCskAfGx2cXKyyQKhsZKrXlrJAAmLpGISBskBYon0+YWyyQPhN9HRuV7JA/foQGatCskAIJXeKFi6yQIEMmiuwGbJA6wGtYXcFskAPGpSUa/GxQNVH1S6M3bFAntiJndjJsUBQUFBQULaxQCGiPrnyorFAWMPUTL+PsUBzle+BtXyxQAMlvNHUabFA0TqrtxxXsUDdPGWxjESxQOZcvj4kMrFAMxKr4eIfsUCC3DQeyA2xQOpNb3rT+7BAulltfgTqsEBX5ja0WtiwQCugvqfVxrBA1wvY5nS1sEDZ1S0BOKSwQPJdOIgek7BAkXw0DyiCsEC6gBorVHGwQM5klXKiYLBAojj6fRJQsECIvz/noz+wQMpA9klWL7BANok/QykfsEByHMdxHA+wQIIpdete/q9A91+E4cPer0ADEfMLZ7+vQP/x0LNHoK9AtVP4JGWBr0BRjgCuvmKvQEy8MKBTRK9ANcJyTyMmr0BToUYSLQivQCoTtkFw6q5ABWxIOezMrkCVwvZWoK+uQPlaIPuLkq5AXFN/iK51rkB4kB1kB1muQG/oSfWVPK5AV4qNpVkgrkDVoKHgUQSuQHsuZRR+6K1ATiLTsN3MrUAKo/gncLGtQNqP6+00lq1AIjXBeCt7rUAJNIVAU2CtQIybML+rRa1A3DGhcDQrrUDU7JDS7BCtQF6YjWTU9qxAu6nwp+rcrEBpPtcfL8OsQM1FGlGhqaxAfdRGwkCQrEAUoJb7DHesQMui6IYFXqxAtuW57ylFrEDIcB7DeSysQL1fuo/0E6xABBu75Zn7q0DPs9BWaeOrQHdiJ3Ziy6tAZSZh2ISzq0C5ho8T0JurQOdyLb9DhKtAjEIZdN9sq0DR047MolWrQIrHIWSNPqtAfNq3154nq0AWW4PF1hCrQPS6/cw0+qpAiTvijrjjqkBatSitYc2qQCV5AMsvt6pAaErLjCKhqkC4chiYOYuqQEHtn5N0dapACqo9J9NfqkBd6Oz7VEqqQM2nw7v5NKpAbi/uEcEfqkCrqqqqqgqqQFXbRDO29alAYOARWuPgqUDpEGzOMcypQA3rrkCht6lAIxYzYjGjqUD3d0rl4Y6pQIRcPH2yeqlA6a9B3qJmqUAeSoG9slKpQARMDNHhPqlAio3azy8rqUByHMdxnBepQGLLjG8nBKlA9NDCgtDwqEBedtlll92oQGjVFtR7yqhAYKWTiX23qECyFjhDnKSoQN+8uL7XkahAgoaTui9/qEAdwwz2o2yoQFk2LDE0WqhAjji6LOBHqEAg5DyqpzWoQKJP9WuKI6hATtTcNIgRqEC1YKLIoP+nQE/Xp+vT7adAw3j/YiHcp0CMWWn0iMqnQOfiUGYKuadAsV7Kf6Wnp0ANjpAIWpanQJNKAsknhadA2TEgig50p0AiW4oVDmOnQO0WfjUmUqdAVLjTtFZBp0DsZ/xenzCnQAEAAAAAIKdAAvJ6ZHgPp0DzNJxZCP+mQKA8I62v7qZAhfldLW7epkAz4SapQ86mQP/+4u8vvqZA2wyA0TKupkA7lHIeTJ6mQMYWtKd7jqZAwT7BPsF+pkAMF5i1HG+mQIFKtt6NX6ZAm2oXjRRQpkBKPTOUsECmQLAR/MdhMaZA1hvd/CcipkAL17gHAxOmQPFu573yA6ZA9i419fb0pUA++OCDD+alQMC9mkA816VAjwaCAn3IpUAkdiSh0bmlQJVafPQ5q6VAmUDv1LWcpUBEjUwbRY6lQFIdzKDnf6VA+OkMP51xpUAZsxPQZWOlQMOuSS5BVaVA6D17NC9HpUAopta9LzmlQKnQ6qVCK6VA1g2myGcdpUD23VQCnw+lQIO+oC/oAaVAM/yOLUP0pECIiX/Zr+akQPfZKxEu2aRAYsGlsr3LpED/V1acXr6kQH/i/KwQsaRAYb6tw9OjpEBqUtG/p5akQC8DI4GMiaRAiyuw54F8pEARGdfTh2+kQEcMRiaeYqRAsTz6v8RVpECP4D6C+0ikQEU4rE5CPKRAUZ0mB5kvpEDSlN2N/yKkQH7lSsV1FqRAB7ExkPsJpEDRkJ3RkP2jQAC24Ww18aNArwyYRenko0BuYqA/rNijQMiPHz9+zKNA9KR+KF/Ao0B6GWrgTrSjQN7+0EtNqKNAMDbkT1qco0CAqBXSdZCjQCmCF7ifhKNA3nDb59d4o0B65JFHHm2jQHlSqb1yYaNAJnzNMNVVo0BPt+aHRUqjQJw5GarDPqNAXmbEfk8zo0DhHoLt6CejQCgVJt6PHKNAGSG9OEQRo0D3l4zlBQajQD6mEc3U+qJAu6sA2LDvokDwmUTvmeSiQKNU/vuP2aJApxSE55LOokC8zGCbosOiQJWQUwG/uKJA7/1OA+itokCyp3iLHaOiQBaDKIRfmKJAwlbo162NokDbK3NxCIOiQAbBtDtveKJARP/IIeJtokCxcPsOYWOiQBO5xu7rWKJANhDUrIJOokAUvvo0JUSiQLKYP3PTOaJAv4PUU40vokDc8RfDUiWiQJZnlK0jG6JAAAAAAAARokDp8jun5waiQK0cVJDa/KFAl4d+qNjyoUDN9hrd4eihQL9yshv23qFAGdf2URXVoUAtYsJtP8uhQNFFF110waFAqjkfDrS3oUDgDitv/q2hQDdFsm5TpKFAhaFS+7KaoUCBxc8DHZGhQOPIEneRh6FA2dMpRBB+oUC/ukdamXShQB2bw6gsa6FA63kYH8phoUAL4+SscVihQPeJ6kEjT6FAqOsNzt5FoUCn8VVBpDyhQEiW64tzM6FACIoZnkwqoUAT2ktoLyGhQNiXD9sbGKFAxoES5xEPoUAUrSJ9EQahQJkwLo4a/aBAtNBCCy30oEA9rI3lSOugQHjqWg5u4qBAB2oVd5zZoEDicEYR1NCgQENdlc4UyKBAglfHoF6/oED1BL95sbagQK47fEsNrqBALLcbCHKloED6zdah35ygQCkoAwtWlKBAsnYSNtWLoEC6K5IVXYOgQKszK5zteqBAKK+hvIZyoEDdrdRpKGqgQBjqvZbSYaBAN4VxNoVZoEDlxB08QFGgQCDRCpsDSaBAAnOaRs9AoEBU1EcyozigQOA/p1F/MKBAhuJlmGMooEAIjUn6TyCgQJh2MGtEGKBAEgAR30AQoED6d/lJRQigQCDfD6BRAKBA71sjq8vwn0BKNae9A+GfQFS/gmBL0Z9Aiga7fKLBn0DhPoL7CLKfQBpVN8Z+op9AVIFlxgOTn0Dh2sPll4OfQFbtNA47dJ9A007GKe1kn0CAN7AirlWfQD8aVeN9Rp9Aez5BVlw3n0AyWypmSSifQBcz7/1EGZ9A0zGXCE8Kn0BtClJxZ/ueQMBWdyOO7J5ACjiGCsPdnkCR+CQSBs+eQEyuICZXwJ5Aot5sMraxnkAjIyMjI6OeQFLPguSdlJ5AYpfwYiaGnkD+N/aKvHeeQPoeQklgaZ5ACBWnihFbnkBk6Bs80EyeQE4Yu0qcPp5ArYHCo3UwnkBXDJM0XCKeQIFZsOpPFJ5A33LAs1AGnkDCeot9XvidQBBd+zV56p1AD4Eby6DcnUATfBgr1c6dQPjEP0QWwZ1Afmj/BGSznUBbvuVbvqWdQEIfoTclmJ1AiZv/hpiKnUDEsu44GH2dQP4Lezykb51A1y7QgDxinUBOPTj14FSdQFKuG4mRR51ADwkBLE46nUD6oIzNFi2dQIpSgF3rH51AsEC7y8sSnUAGkzkIuAWdQJg0FAOw+JxAiZOArLPrnEAoYdD0wt6cQPVScczd0ZxACeTsIwTFnEBmF+jrNbicQLc6IxVzq5xA06l5kLuenEDSkuFOD5KcQMu6a0FuhZxAI0NDWdh4nECCb62HTWycQF9sCb7NX5xAExbQ7VhTnEClwJMI70acQAAAAACQOpxA3nDZxTsunEAugv1L8iGcQA0/YoSzFZxAVBkWYX8JnECltD/UVf2bQA2yHdA28ZtAI3wGRyLlm0C8E2grGNmbQAndx28YzZtAYm3CBiPBm0BhWQvjN7WbQK4DbfdWqZtAGWzINoCdm0Bk/xSUs5GbQFpnYALxhZtAgFvOdDh6m0AvcpjeiW6bQC3yDTPlYptAt6STZUpXm0ACqKNpuUubQDFCzTIyQJtAtbS0tLQ0m0AtEBPjQCmbQKUItrHWHZtAS8p/FHYSm0CSzmb/HgebQLyxdWbR+5pA1AjLPY3wmkAJOJl5UuWaQHxJJg4h2ppAacTL7/jOmkC+hPYS2sOaQBWTJmzEuJpADf3u77etmkAHrvWStKKaQE1I80m6l5pAh/6yCcmMmkChbRLH4IGaQAF3AXcBd5pAJRuCDitsmkCTVKiCXWGaQCzzmciYVppA0neO1dxLmkBs8M6eKUGaQD7UtRl/NppAmeCuO90rmkDg9Tb6QyGaQOj020qzFppAopw8IysMmkAaaAh5qwGaQNRs/0E095lAZjnyc8XsmUB3tMEEX+KZQP/7XuoA2JlA2ETLGqvNmUCkuheMXcOZQPdfZTQYuZlA1O7kCduumUBuudYCpqSZQDmLihV5mplARYpfOFSQmUDdGMRhN4aZQHC3NYgifJlAw+ZAohVymUBoCoGmEGiZQHxLoIsTXplAqHtXSB5UmUBj+G3TMEqZQIKOuSNLQJlAAl4eMG02mUARvo7vliyZQGQhC1nIIplAxvqhYwEZmUDmoW8GQg+ZQGU4njiKBZlAKI9l8dn7mEDgCwsoMfKYQNaO4dOP6JhA7lhJ7PXemEDt8a9oY9WYQO8OkEDYy5hAJnlxa1TCmEDI9Ojg17iYQDkomJhir5hAd4MtivSlmECrJ2StjZyYQAjPA/otk5hAz7TgZ9WJmECWfdvug4CYQL4f4YY5d5hAIczqJ/ZtmED01v3JuWSYQN+gK2WEW5hARYCR8VVSmEDHqlhnLkmYQO4etr4NQJhAEo7q7/M2mEBzRkLz4C2YQHQdFcHUJJhAGlrGUc8bmECwn8Sd0BKYQJ7YiZ3YCZhAbiGbSecAmEACtIia/PeXQPXS7YgY75dALrVwDTvml0CaccIgZN2XQBzrnruT1JdAnbzM1snLl0BaJR1rBsOXQEj1a3FJupdAtHmf4pKxl0AGaqi34qiXQLDUgek4oJdARgwxcZWXl0DDlMVH+I6XQO4QWWZhhpdA9S8PxtB9l0AkmxVgRnWXQMrjoy3CbJdAQ3H7J0Rkl0Axb2dIzFuXQMe7PIhaU5dAVNbZ4O5Kl0DkzaZLiUKXQAgwFcIpOpdAyfefPdAxl0C4fMu3fCmXQCxiJSovIZdAmYZEjucYl0AV88jdpRCXQPfKWxJqCJdAozuvJTQAl0BrbH4RBPiWQKhujc/Z75ZA2C2pWbXnlkD4X6eplt+WQPB1Zrl915ZAJYzNgmrPlkAvW8z/XMeWQKUoWypVv5ZAFLh6/FK3lkASPDRwVq+WQG1HmX9fp5ZAfb7DJG6flkCUyNVZgpeWQI/B+Ricj5ZAfytiXLuHlkB0oEke4H+WQGfE8lgKeJZAPjeoBjpwlkDyhrwhb2iWQMohiqSpYJZAvEhzielYlkDhAeLKLlGWQA4LSGN5SZZAgsweTclBlkCwS+eCHjqWQC0eKv94MpZAqVx3vNgqlkAUlma1PSOWQNDCluSnG5ZABTiuRBcUlkAMm1rQiwyWQPTUUIIFBZZAIwZNVYT9lUALehJECPaVQACba0mR7pVAG+YpYB/nlUBD3yWDst+VQEUFP61K2JVACcZb2efQlUDbcmkCismVQMw0XCMxwpVANAEvN926lUA5juM4jrOVQH9HgiNErJVA5kIa8v6klUBdNcGfvp2VQNFnkyeDlpVALqyzhEyPlUB6UkuyGoiVQP4diqvtgJVAlDqma8V5lUD0MdztoXKVQCzhbi2Da5VAH26nJWlklUAdPdXRU12VQJbmTS1DVpVA0ixtMzdPlUDR8ZTfL0iVQC0tLS0tQZVAHOKjFy86lUCAFW2aNTOVQAvEArFALJVAfNjkVlAllUDmIZmHZB6VQBBKqz59F5VA58usd5oQlUAE6jQuvAmVQD2l4F3iApVAV7NSAg38lEC5dTMXPPWUQD/wMJhv7pRAFcD+gKfnlECtElbN4+CUQL6c9Xgk2pRAVpGhf2nTlEAHmSPdssyUQBXJSo0AxpRAwprri1K/lECj4t/UqLiUQA7IBmQDspRAjLxENWKrlEBpc4NExaSUQErZsY0snpRA2wvEDJiXlECCUbO9B5GUQDERfpx7ipRAOMonpfODlEA0DLnTb32UQAJvPyTwdpRAy4rNknRwlEAX8Hob/WmUQPYfZLqJY5RAMYSqaxpdlECSZ3Qrr1aUQDHu7PVHUJRA1g1Ex+RJlEBrhq6bhUOUQHPaZW8qPZRAm0eoPtM2lEBRv7gFgDCUQGjf3sAwKpRA0epmbOUjlEBcwqEEnh2UQIfd5IVaF5RAW0OK7BoRlEBag/A03wqUQHOuelunBJRACVCQXHP+k0AFZ500Q/iTQPJeEuAW8pNALQlkW+7rk0AYlgujyeWTQGOOhrOo35NAXMxWiYvZk0BKdQIhctOTQNnyE3dczZNAj+wZiErHk0BNQadQPMGTQOAAU80xu5NAlWW4+iq1k0DizXbVJ6+TQBa2MVooqZNAF7KQhSyjk0AjZz9UNJ2TQK6F7cI/l5NAN8NOzk6Rk0A11BpzYYuTQAxmDa53hZNAChnme5F/k0B2emjZrnmTQJ/+W8PPc5NAA/uLNvRtk0BxoMcvHGiTQEb14atHYpNAps+xp3Zck0DKzxEgqVaTQFJa4BHfUJNApZL/eRhLk0BVVVVVVUWTQJYyy6CVP5NAt2hOWdk5k0Cr3s97IDSTQJQeRAVrLpNAY1Cj8rgok0B0NOlACiOTQEMeFe1eHZNAGO8p9LYXk0DOEC5TEhKTQJtwKwdxDJNA33kvDdMGk0AAEUtiOAGTQE+OkgOh+5JA+Lgd7gz2kkDwwQcffPCSQP8+b5Pu6pJAvSV2SGTlkkCrxkE73d+SQEfI+mhZ2pJAMSLNztjUkkBTGOhpW8+SQBQ2fjfhyZJAlknFNGrEkkD2XvZe9r6SQJi7TbOFuZJAfdkKLxi0kkCcYnDPra6SQEssxJFGqZJApDJPc+KjkkD/k11xgZ6SQGqMPokjmZJAMnFEuMiTkkBlrMT7cI6SQG24F1EciZJAqxuZtcqDkkATZKcmfH6SQNkipKEweZJAJOjzI+hzkkDEPv6qom6SQPOnLTRgaZJAHJfvvCBkkkCobbRC5F6SQNd278KqWZJAmOMWO3RUkkBwxqOoQE+SQGQPEgkQSpJA6IfgWeJEkkDezpCYtz+SQI1Up8KPOpJArVar1Wo1kkBx3CbPSDCSQJuypqwpK5JAl2e6aw0mkkCbR/QJ9CCSQM9Y6YTdG5JAeFcx2skWkkAwsmYHuRGSQB6GJgqrDJJANJsQ4J8HkkB/YMeGlwKSQGvo7/uR/ZFAGuUxPY/4kUC/pDdIj/ORQPoNrhqS7pFAQpxEspfpkUBOXK0MoOSRQInonCer35FAhGXKALnakUB7fu+VydWRQNNhyOTc0JFApb0T6/LLkUBNvJKmC8eRQPsACRUnwpFAVKQ8NEW9kUALMfYBZriRQIegAHyJs5FAlFcpoK+ukUAKI0Bs2KmRQIs0F94DpZFAOB+D8zGgkUB11FqqYpuRQKygdwCWlpFAGyi188uRkUCiY/GBBI2RQJmdDKk/iJFAq27pZn2DkUC0umy5vX6RQKmtfZ4AepFAfrgFFEZ1kUAYjvAXjnCRQD8gLKjYa5FAl5yowiVnkUCeaVhldWKRQK8jMI7HXZFABpomOxxZkUDRyzRqc1SRQD/lVRnNT5FAkzyHRilLkUBAT8jvh0aRQAu/GhPpQZFAKk+Crkw9kUBs4QTAsjiRQGlzqkUbNJFAsxt9PYYvkUAIB4ml8yqRQI913HtjJpFAFbiHvtUhkUBRLZ1rSh2RQC0/MYHBGJFADGBa/ToUkUAfCDHetg+RQLeyzyE1C5FAn9tSxrUGkUB2/NjJOAKRQBCKgiq+/ZBA3/Fx5kX5kEBVl8v7z/SQQFnRtWhc8JBAsOdYK+vrkEB4EN9BfOeQQJ9tdKoP45BAYgpHY6XekEDJ2IZqPdqQQDCvZb7X1ZBA0UUXXXTRkEBNNNFEE82QQD7vynO0yJBAy8U96FfEkEBB32Sg/b+QQK84fZqlu5BAg6LF1E+3kEAwvn5N/LKQQNP76gKrrpBA35dO81uqkEDKmO8cD6aQQL7MFX7EoZBAUMcKFXydkEA43xngNZmQQA4skN3xlJBACYS8C7CQkEDBee9ocIyQQPhZe/MyiJBAZSm0qfeDkEB8ou+Jvn+QQEYzhZKHe5BAMPvNwVJ3kEDlyCQWIHOQQCkY5o3vbpBAtA9wJ8FqkEAYfyLhlGaQQKLcXrlqYpBAQ0OIrkJekEB9cAO/HFqQQEzCNun4VZBAHjWKK9dRkEDAYWeEt02QQF57OfKZSZBAdE1tc35FkEDWOXEGZUGQQKc2talNPZBAYsyqWzg5kEDhE8UaJTWQQGW0eOUTMZBAoeE7ugQtkEDOWYaX9yiQQLpj0XvsJJBA3cyXZeMgkEB151VT3ByQQJyIiUPXGJBAaAayNNQUkEARNlAl0xCQQApq5hPUDJBAL3D4/tYIkEDtjwvl2wSQQGqIpsTiAJBAdB2jONf5j0ARmCzV7PGPQKW3/1sG6o9ANZQ1yiPij0BDI+ocRdqPQEg0PFFq0o9AK21NZJPKj0DQRkJTwMKPQI4JQhvxuo9AyMl2uSWzj0B6ZA0rXquPQNB7NW2ao49AwXMhfdqbj0CubgZYHpSPQAtKHPtljI9ABpudY7GEj0A6q8eOAH2PQF112nlTdY9A/qEYIqptj0BChMeEBGaPQKQWL59iXo9AvveZbsRWj0AUZ1XwKU+PQOVBsSGTR49AAAAAAABAj0A=\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]}},\"selected\":{\"id\":\"4555\"},\"selection_policy\":{\"id\":\"4554\"}},\"id\":\"4489\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"3954\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"27Zt27a90EBs3hEIkHnQQESUqWaLN9BAO2aEbB/vz0BiwNF8CnPPQPtOpmOr+s5ASfk+J9iFzkAjU9Q9aRTOQHba9WA5ps1AkpWsZCU7zUDP3gYSDNPMQO6AuQTObcxAQlyLi00LzEDYyUiLbqvLQET8AmQWTstAkdVl2CvzykBNKfT2lprKQNdA/wRBRMpAp8oyaxTwyUCnNJKj/J3JQEDdxyjmTclAxpKpZr7/yEDWkdirc7PIQKChZRz1aMhA5xpkpTIgyEDxmVjxHNnHQGDccV2lk8dA9957771Px0Aoun5MWQ3HQP0C/K9qzMZA9Zy+4+WMxkCC8zE4v07GQL2CNn3rEcZAmnBq+1/WxUCbvd1tEpzFQOVGKvz4YsVAUHboNAorxUDzEHoIPfTEQCUbJcSIvsRAXkN5DeWJxEA5tfrdSVbEQK2bDX+vI8RAtfYdhg7yw0Clvf/QX8HDQHKVg4KckcNAZKk8/71iw0ADdnTqvTTDQCWSSSOWB8NA77j2wUDbwkBRij8VuK/CQOClAKD2hMJA5+7gFvdawkDj7yFetDHCQO93jYcpCcJAL65+0FHhwUA79gSgKLrBQBMdH4Wpk8FAnWANNdBtwUAD/LiJmEjBQAH6L4D+I8FABCM0N/7/wECD8Nvtk9zAQNCARAK8ucBAgpdT8HKXwED2xYhQtXXAQNPl3NZ/VMBA9xyvUc8zwECCrr6ooBPAQPHQYbjh579AGBBFB3qpv0DY8YeaBGy/QCu6//l7L79AN6dW19rzvkC4+X4MHLm+QKCEN5o6f75Ab96gpjFGvkAcXOJ7/A2+QNkJ3oaW1r1Au+HyVfufvUDvisyXJmq9QMz2PxoUNb1AODo0yb8AvUABC5etJc28QE5RXOxBmrxA9ESIxRBovEAClkOTjja8QP0m+ci3BbxAWOV88ojVu0BjUzuz/qW7QFdcccUVd7tAphBs+cpIu0D67c80Gxu7QP9a53ED7rpAgwP4voDBukAVxp49kJW6QPnnMSIvarpAMEgps1o/ukAiToxIEBW6QHJTZUtN67lACkw6NQ/CuUBkcoqPU5m5QLjAUPMXcblAsQKLCFpJuUC2TcWFFyK5QBuwqS9O+7hAK+qT2PvUuEDKBSlgHq+4QKij8rKzibhA89b9yblkuEAyan2qLkC4QKNpb2UQHLhAdNFFF134t0AjP5LnEtW3QHKHtAgwsrdAUhOMt7KPt0Cd5ys7mW23QN08keThS7dAVo1cDosqt0DeAI0ckwm3QA8fPnz46LZAYbFno7nItkDIv58Q1ai2QFKT3kpJibZAKatE4RRqtkAnkeJqNku2QC58goasLLZA1K5z2nUOtkAcglcUkfC1QGgM8Oj80rVAdFXwE7i1tUDyCM5XwZi1QOmZlH0XfLVAY8m5VLlftUDYg/OypUO1QPcID3TbJ7VABVLJeVkMtUC6q6irHvG0QJV41/Yp1rRAaBEATnq7tEAUuimpDqG0QOaglgXmhrRAX9+iZf9stECbc6TQWVO0QMEpzFL0ObRAb20H/c0gtEA0++Lk5Qe0QJpqbiQ777NAcIkg2szWs0Blgbwomr6zQEPBNzeiprNANKOgMOSOs0AHygVEX3ezQE4vXqQSYLNAtNxxiP1Is0DgSsMqHzKzQKRgecl2G7NASg1KpgMFs0D+eGUGxe6yQKfGYTK62LJAdmInduLCskDQ2N0gPa2yQEIx2YTJl7JAW8mH94aCskCAq2DRdG2yQMZd0m2SWLJARCUyK99DskAiuqtqWi+yQBNpMZADG7JA0p5sAtoGskBr2q4q3fKxQEYD43QM37FA3h9/T2fLsUBWanYr7bexQAjAK3ydpLFAdGlkt3eRsUDaNztVe36xQA72E9Cna7FADSqPpPxYsUDtJH5ReUaxQP1e11cdNLFAwR2rOughsUDAYRh/2Q+xQAcaQqzw/bBAbJtESy3ssECaWSvnjtqwQBbg5gwVybBAWglDS7+3sEBdct0yjaawQMwoHFZ+lbBASZIkSZKEsEAti9KhyHOwQDO7r/cgY7BAmR7r45pSsEBDwlABNkKwQHixQezxMbBA5ROsQs4hsECTegOkyhGwQIpaObHmAbBAzGdrGUTkr0BsyJ+0+MSvQNZFj37qpa9Aj018xBiHr0Bo5l7WgmivQNKY1wYoSq9A1KIiqwcsr0CrdQsbIQ6vQCJ74LBz8K5AwiBnyf7SrkAWJ9DDwbWuQC8zrAG8mK5AyaDg5ux7rkBRk5zZU1+uQDxETkLwQq5AOo2Yi8EmrkBzrEgixwquQLhBTHUA761A+IKn9WzTrUClpmsWDLitQK+CrUzdnK1A2V58D+CBrUAF+djXE2etQD+6rCB4TK1AdRvBZgwyrUB/OLco0BetQGyQ/+bC/axAEfLRI+TjrECUkyVjM8qsQAlUqSqwsKxAKya8AVqXrEACo2VxMH6sQLPDTgQzZaxAb8G6RmFMrECkGoDGujOsQHy8ARM/G6xA7k8ove0CrEBwqVtXxuqrQHJafHXI0qtAAWTdrPO6q0CoCT6UR6OrQMXDw8PDi6tAxlD01Gd0q0B55K9iM12rQKd0KwkmRqtAgiLrZT8vq0AfwLwXfxirQE5xsr7kAatASmcd/G/rqkCZtohyINWqQIJGtMX1vqpAhtmPmu+oqkBbLjaXDZOqQMU46GJPfapAznEIprRnqkDwPhYKPVKqQH1vqTnoPKpA9c9t4LUnqkC80h6rpRKqQLVNg0e3/alATExpZOroqUCM9aGxPtSpQMaF/d+zv6lAUVtHoUmrqUAPFkKo/5apQFXJo6jVgqlAnT8SV8tuqUDoTx9p4FqpQEVERZUUR6lAGFHjkmczqUDjHDoa2R+pQC9YaORoDKlAMGVnqxb5qEDPDggq4uWoQO5O7xvL0qhAWyOTPdG/qEBGcTdM9KyoQP326gU0mqhAZEuEKZCHqEAw6552CHWoQFhTmK2cYqhArSiNj0xQqEAcbFbeFz6oQJC7hlz+K6hAFJ9nzf8ZqEDr4fb0GwioQHz345dS9qdAzWuNe6Pkp0A5X/5lDtOnQEwN7B2TwadAd16zajGwp0BchFYU6Z6nQJqgeuO5jadAy3VloaN8p0B6IvsXpmunQAHmuxHBWqdAAe/BWfRJp0A+M7+7PzmnQM1Q+wOjKKdAVHhR/x0Yp0AhYC57sAenQAdAjkVa96ZA1tX6LBvnpkAWcokA89amQBwN2Y/hxqZAImQQq+a2pkBXHtwiAqemQJ75bMgzl6ZAAP91bXuHpkCVvirk2HemQLOSPf9LaKZAYOrdkdRYpkDSmrZvckmmQM037GwlOqZA3XIbXu0qpkA9gVcYyhumQDeIKHG7DKZAAxCKPsH9pUD1fOlW2+6lQMqOJJEJ4KVAF+aHxEvRpUC0j83IocKlQOiVG3YLtKVAcpcCpYilpUApZHwuGZelQB6f6uu8iKVAPWYVt3N6pUBG/ylqPWylQPCJud8ZXqVATbe38ghQpUAmhnl+CkKlQGgEtF4eNKVAURV7b0QmpUCGPECNfBilQM5t0ZTGCqVAcOFXYyL9pEAW7VbWj++kQDnhqssO4qRA0uqHIZ/UpEBy+Xi2QMekQIupXmnzuaRA3TJuGbespEABWzCmi5+kQPdrgO9wkqRAmS6L1WaFpED96M04bXikQKVgFfqDa6RAXuB8+qpepEDbQW0b4lGkQPL6mz4pRaRAVC4KRoA4pEDRvwMU5yukQA9sHotdH6RAj+M4juMSpEAW6XkAeQakQFZzT8Ud+qNAwdFtwNHto0CN1M7VlOGjQNH3sOlm1aNAtJGW4EfJo0CHA0WfN72jQOrtwwo2saNA0GdcCEOlo0BROJh9XpmjQFoTQVCIjaNAGdlfZsCBo0Ab2DumBnajQBsSWvZaaqNAdIN8Pb1eo0AdbaFiLVOjQDWhAk2rR6NAGtIU5DY8o0Dc44YP0DCjQDRAQbd2JaNA0Sxlwyoao0D4I0wc7A6jQHovh6q6A6NA8UXeVpb4okApqk8Kf+2iQMdMD6504qJAHTCGK3fXokAOzlFshsyiQBmAQ1qiwaJAaelf38q2okD3Yt7l/6uiQJlpKFhBoaJAGQ7ZII+WokA3Z7wq6YuiQIUFz2BPgaJAMmk9rsF2okCreWP+P2yiQP/+yzzKYaJAHh0wVWBXokDR0HYzAk2iQG5utMOvQqJAPiIq8mg4okCfckWrLS6iQLXDn9v9I6JA0tz9b9kZokByb09VwA+iQMKfrniyBaJAv45fx6/7oUDe5c8uuPGhQC1klpzL56FA+Wxy/undoUDol0tCE9ShQIBCMVZHyqFAHSNaKIbAoUBQ3SOnz7ahQJmXEsEjraFAf5LQZIKjoUD5wC2B65mhQDliHwVfkKFAqZy/39yGoUBFGk0AZX2hQDCmKlb3c6FAhMve0JNqoUBbdRNgOmGhQBiQlfPqV6FAyatUe6VOoUDNn2LnaUWhQJUv8yc4PKFAg7BbLRAzoUDysBLo8SmhQFegr0jdIKFAb3jqP9IXoUCIZ5u+0A6hQN17urXYBaFA7E9fFur8oEDgt8DRBPSgQAFwNNko66BAFcwuHlbioEDFZ0KSjNmgQP7XHyfM0KBAQ12VzhTIoEDolo56Zr+gQEc3FB3BtqBA4LhLqCSuoEBNFHcOkaWgQDJ39EEGnaBAAfw9NYSUoECaYunaCoygQMzJpyWag6BAqWlFCDJ7oECwTql10nKgQMUV1WB7aqBAA6nkvCxioEBE/Q195lmgQIvQoJSoUaBAI2kG93JJoECFVcGXRUGgQAItbWogOaBALVG+YgMxoED2r4F07iigQIiGnJPhIKBA2yQMtNwYoED3seXJ3xCgQO3wVcnqCKBAeAahpv0AoECwfkSsMPKfQImul5h14p9ALIFN+8nSn0As2aS9LcOfQMYoCcmgs59ADwUSByOkn0BSuoJhtJSfQKLhScJUhZ9AqveAEwR2n0C59Gs/wmafQODleDCPV59AVIc/0WpIn0D034AMVTmfQNvdJs1NKp9AKfRD/lQbn0DjuRKLagyfQNWJ9V6O/Z5AoyN2ZcDunkDdTUWKAOCeQBh5OrlO0Z5AHWRT3qrCnkAbwbPlFLSeQNDbpLuMpZ5AukCVTBKXnkBKZRiFpYieQPhQ5lFGep5AZ0fbn/RrnkBlc/dbsF2eQO6SXnN5T55AAqRX009BnkB5kkxpMzOeQLfmySIkJZ5ANXV+7SEXnkABDzu3LAmeQAoz8m1E+51AS8C3/2jtnUDMqMBamt+dQIGlYm3Y0Z1A6uoTJiPEnUCP3mpzeradQEzNHUTeqJ1AWqICh06bnUAknw4ry42dQPETVh9UgJ1ANxkMU+lynUC9SYK1imWdQIN9KDY4WJ1AUYWMxPFKnUAL51lQtz2dQMaaWcmIMJ1AechxH2YjnUB2hqVCTxadQIuYFCNECZ1A1i/7sET8nEA4q7HcUO+cQIFYrJZo4pxARDZ7z4vVnEA+tsl3usicQHaAXoD0u5xA/DYb2jmvnEA0Ovx1iqKcQNttGEXmlZxAmf6gOE2JnEAmKOFBv3ycQBn8PVI8cJxARyk2W8RjnECsw2FOV1ecQPQMch31SpxAlj0xup0+nEBwToIWUTKcQADDYCQPJpxAI3Tg1dcZnEBeWy0dqw2cQKxei+yIAZxA4xxWNnH1m0CGugDtY+mbQDGvFQNh3ZtAeZM2a2jRm0Bd7xsYesWbQBwJlfyVuZtApbSHC7ytm0B4I/A37KGbQPq04HQmlptASseBtWqKm0CciBHtuH6bQOrI4w4Rc5tAOcxhDnNnm0BHHQrf3lubQKNgcHRUUJtASCg9wtNEm0CYxy28XDmbQM0nFFbvLZtA35zWg4sim0DAum85MRebQB4r7mrgC5tAe4N0DJkAm0C7GzkSW/WaQArlhXAm6ppAOUG4G/vemkB32kAI2dOaQG57oyrAyJpAwud2d7C9mkD7tGTjqbKaQMIjKWOsp5pAhPmS67ecmkB9WoNxzJGaQAik7enphppAZUfXSRB8mkDQpFeGP3GaQOvml5R3ZppAit7SabhbmkDd3lT7AVGaQOCZez5URppALv21KK87mkAtD4SvEjGaQH/Mdsh+JppA0gUwafMbmkAHPmKHcBGaQJiI0Bj2BppAZmhOE4T8mUDBrr9sGvKZQNZaGBu555lAUnlcFGDdmUBnBKBOD9OZQBbEBsDGyJlAvi7EXoa+mUD/SRshTrSZQOuLXv0dqplAbbzv6fWfmUAL1z/d1ZWZQPDszs29i5lAKAcssq2BmUA5CfWApXeZQPyT1jClbZlAr+iLuKxjmUBWzN4OvFmZQGJrpyrTT5lAjT3MAvJFmUAC6kGOGDyZQMcrC8RGMplAX7Y4m3womUCyGukKuh6ZQDisSAr/FJlAU2aRkEsLmUD20QqVnwGZQIjrCQ/795hA9Ajx9V3umEAKwC9ByOSYQAnNQug525hAcvmz4rLRmEAJAxooM8iYQBWDGLC6vphA29Vfckm1mEBMAq1m36uYQOqhyYR8ophA78iLxCCZmECW7tUdzI+YQK7Vloh+hphAW3XJ/Dd9mEAD4nRy+HOYQHw2rOG/aphAan2OQo5hmEDJmkaNY1iYQLE1C7o/T5hATqIewSJGmEAAzM6aDD2YQLMfdT/9M5hAaXZ2p/QqmEDu/0LL8iGYQLstVqP3GJhAF542KAMQmEBPB3ZSFQeYQDAjsRou/pdAoJqPeU31l0B18cNnc+yXQGVyC96f45dAMBsu1dLal0D2iP5FDNKXQKvkWSlMyZdAxs8neJLAl0AUUVor37eXQLHB7Tsyr5dALrrooouml0Dp/1tZ652XQHlyYlhRlZdAWPkgmb2Ml0CsccYUMISXQDCci8Soe5dAUwuzoSdzl0B3EYmlrGqXQFCvY8k3YpdAdIKiBslZl0AOtK5WYFGXQK/n+rL9SJdASioDFaFAl0Ba4Ux2SjiXQCC6ZtD5L5dAC5noHK8nl0BHiXNVah+XQG6ssXMrF5dAUSpWcfIOl0D1IB1IvwaXQKaUy/GR/pZALWAvaGr2lkAsJR+lSO6WQJ88eqIs5pZAa6coWhbelkAk/xrGBdaWQOpmSuD6zZZAYHy4ovXFlkDLSG8H9r2WQFEygQj8tZZAT+0IoAeulkDUbSnIGKaWQDnZDXsvnpZA2XfpskuWlkDepvdpbY6WQD/Ke5qUhpZAwT7BPsF+lkArTBtR83aWQI0X5csqb5ZAppWBqWdnlkBffVvkqV+WQHI65XbxV5ZAHOCYWz5QlkDyG/iMkEiWQNQojAXoQJZA88Hlv0Q5lkD4FZ22pjGWQEO6UeQNKpZAR56qQ3oilkD4/lXP6xqWQFxaCYJiE5ZANWOBVt4LlkC29IFHXwSWQGYG1k/l/JVAD6BPanD1lUDFzceRAO6VQAeUHsGV5pVAA+Q68y/flUDbjwojz9eVQBc/gktz0JVAJmOdZxzJlUDxK15yysGVQJB8zWZ9upVADeD6PzWzlUA/fvz48auVQMEQ74yzpJVA+tf19nmdlUA3kDoyRZaVQOdm7TkVj5VA3+9ECeqHlUC+Gn6bw4CVQGAo3OuheZVAZaCo9YRylUDWRjO0bGuVQNAR0iJZZJVAUB/hPEpdlUASq8L9P1aVQHcE32A6T5VAkISkYTlIlUA0hIf7PEGVQCpSAipFOpVAYimV6FEzlUBSJ8YyYyyVQE1CIQR5JZVAAkA4WJMelUADrKIqsheVQGHO/XbVEJVAWKLsOP0JlUAXzRdsKQOVQIiULQxa/JRAPNbhFI/1lEBe/u2ByO6UQLv+EE8G6JRA2kUPeEjhlEAktrL4jtqUQCidyszZ05RA2qor8CjNlED36K9efMaUQHeyNhTUv5RA/qqkDDC5lEB0tuNDkLKUQKLw4rX0q5RA3qSWXl2llEDHRfg5yp6UQBplBkQ7mJRAiqvEeLCRlECs0DvUKYuUQPqSeVKnhJRA2K+Q7yh+lECw25inrneUQCC6rnY4cZRALtbzWMZqlECNmo5KWGSUQP5JqkfuXZRApfd2TIhXlECFfylVJlGUQAJ/+13ISpRAaE0rY25ElECP9PtgGD6UQIEptVPGN5RAN0WjN3gxlEBaPRcJLiuUQBedZsTnJJRABn7rZaUelEAQgQTqZhiUQGzHFE0sEpRAr+uDi/ULlEDU+r2hwgWUQGptM4yT/5NAvCBZR2j5k0AOUKjPQPOTQOSNniEd7ZNAWb29Of3mk0B9C4wU4eCTQMDok67I2pNAcAJkBLTUk0A6PI8So86TQLmprNWVyJNAGIhXSozCk0C0Ny9thryTQNQ11zqEtpNAZxb3r4Wwk0DNfTrJiqqTQK4aUYOTpJNA25/u2p+ek0A8vsrMr5iTQMUeoVXDkpNAdlwxctqMk0Bu/j4f9YaTQP5xkVkTgZNAywT0HTV7k0D/3jVpWnWTQH79KTiDb5NAJiynh69pk0AhAIhU32OTQDLSqpsSXpNAH7nxWUlYk0AZhEKMg1KTQCu1hi/BTJNAwHurQAJHk0Aor6G8RkGTQCrJXaCOO5NAnuDX6Nk1k0AZpAuTKDCTQJNU+Jt6KpNAJcCgANAkk0DLPAu+KB+TQCmjQdGEGZNAZ0lRN+QTk0AI/krtRg6TQNYCQ/CsCJNAygdRPRYDk0AKJpDRgv2SQOnaHqry95JA8AIfxGXykkDv1LUc3OySQB3dC7FV55JANPhMftLhkkCmTqiBUtySQMxPULjV1pJAI616H1zRkkCTVWC05cuSQL9wPXRyxpJAVFpRXALBkkBsnd5plbuSQPTvKportpJAFi5/6sSwkkCzVSdYYauSQNyBcuAAppJAXeaygKOgkkBCyz02SZuSQHaIa/7xlZJAV4GX1p2QkkBcICC8TIuSQMLSZqz+hZJAQATQpLOAkkC6GsOia3uSQApyqqMmdpJAyVfzpORwkkAWBw6kpWuSQHakbZ5pZpJAsjmIkTBhkkCzsdZ6+luSQHjU1FfHVpJAB0MBJpdRkkBhc93iaUySQIis7Ys/R5JAigK5HhhCkkCEUsmY8zySQME+q/fRN5JA1CruOLMykkCzNyRaly2SQOg/4lh+KJJAvNO/MmgjkkBsNVflVB6SQGZVRW5EGZJAi84pyzYUkkB34qb5Kw+SQM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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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910oxr0Bi/eQ6dROvQFEGz3nY9a5A0yqL8nPYrkA9340FR7uuQOT/pBVRnq5Aucnsh5GBrkDbEMXDB2WuQG6zxjKzSK5ASUe5QJMsrkDtAIlbpxCuQFrSPPPu9K1AU8DseWnZrUDObLhjFr6tQAvVvSb1oq1AQUIQOwWIrUB8a68aRm2tQH/HfkG3Uq1AhA09LVg4rUCf43tdKB6tQMW5l1MnBK1ARdCvklTqrECyaJ6fr9CsQDgg8QA4t6xAW3LhPu2drEAmY03jzoSsQNpPsHnca6xAMOUbjxVTrEBSOjGyeTqsQJgPGnMIIqxAVjCCY8EJrECx9pAWpPGrQO7w4iCw2atAO6eDGOXBq0BZgeeUQqqrQFDL5S7IkqtAgtiygHV7q0BmRNolSmSrQDxQObtFTatAE1353mc2q0BygYowsB+rQBs6nlAeCatAJDUi4bHyqkD5NjuFatyqQIsYQOFHxqpAOt60mkmwqkDY5kVYb5qqQD0yw8G4hKpA+L4bgCVvqkCD/lg9tVmqQIVfmqRnRKpAq+0QYjwvqkCOBvsiMxqqQEYjoJVLBapAJbZMaYXwqUAqHE5O4NupQNKh7vVbx6lAwJpxEviyqUDriw9XtJ6pQN1n8neQiqlArNwxKox2qUA+s88jp2KpQIc/tBvhTqlAZeGqyTk7qUColV7msCepQBGXVitGFKlA4A7zUvkAqUCa1GkYyu2oQLk8wze42qhABPbWbcPHqEAm9Uh467SoQFZuhhUwoqhAqNzCBJGPqEDbFvUFDn2oQExx1NmmaqhAx+zVQVtYqEADcikAK0aoQHYZt9cVNKhASX8cjBsiqEAsI6rhOxCoQM3TYJ12/qdAtiXvhMvsp0BS9a5eOtunQO3zovHCyadAZD90BWW4p0BnBHBiIKenQPgqhdH0ladAEw1CHOKEp0A1N9IM6HOnQJ0y/G0GY6dADlkfCz1Sp0DpsTGwi0GnQGnYvSnyMKdA2urgRHAgp0CigkjPBRCnQN60MJey/6ZAfRtia3bvpkCm5i8bUd+mQEb2dXZCz6ZAi/uWTUq/pkBEonpxaK+mQOjBi7Ocn6ZAJJa25eaPpkDP/mbaRoCmQCTHhmS8cKZAEPR7V0dhpkCDGSeH51GmQJm24cecQqZAfJh87mYzpkDfQz7QRSSmQPNk4UI5FaZAt0WTHEEGpkCDSvIzXfelQLp0DGCN6KVAcetdeNHZpUAPis9UKculQKR0tc2UvKVA/rHNuxOupUBSyz74pZ+lQFZxllxLkaVAxybIwgODpUA48CsFz3SlQAsJff6sZqVAip3YiZ1YpUD5ibyCoEqlQJ0eBsW1PKVAkejwLN0upUBYfxWXFiGlQBpXaOBhE6VAdJc45r4FpUDH9i6GLfikQPSZTJ6t6qRAZ/jpDD/dpEBwxLWw4c+kQMLXs2iVwqRAGCQ8FFq1pEDdp/mSL6ikQNdm6cQVm6RArmZZigyOpEBWr+fDE4GkQDNPgVIrdKRA+WJhF1NnpEAvIRD0ilqkQEfpYcrSTaRAOFZ2fCpBpECTVLfskTSkQPo72P0IKKRA8uvUko8bpED86/COJQ+kQO+OttXKAqRAdRn2Sn/2o0C068TSQuqjQAOufFEV3qNAoIC6q/bRo0BpLl7G5sWjQHpiiYbluaNArOCe0fKto0DlwEGNDqKjQDWtVJ84lqNAqCL57XCKo0DQtI5ft36jQOtTstoLc6NAqJU9Rm5no0B/AEaJ3lujQINZHItcUKNAtvRLM+hEo0DNB5ppgTmjQFT/BBYoLqNAMtbDINwio0B9b0VynRejQJryL/NrDKNAlylgjEcBo0C/4egmMPaiQFhOEqwl66JAiW1ZBSjgokBZb28cN9WiQMAeOdtSyqJAw0zOK3u/okCUPXn4r7SiQK0XtivxqaJA11QysD6fokAmNcxwmJSiQMszklj+iaJAz33CUnB/okCVaspK7nSiQDf2RSx4aqJAlj3/4g1gokA6/O1ar1WiQOQLN4BcS6JAyeUrPxVBokCFJUqE2TaiQKUNOzypLKJA2g3TU4QiokC4ShG4ahiiQA8nH1ZcDqJAyM5PG1kEokBNwx/1YPqhQGlpNNFz8KFAqZhbnZHmoUArLItHutyhQNuU4L3t0qFAHW2g7ivJoUDWDTbIdL+hQNMkMznItaFAiExPMCasoUArpWecjqKhQA5vfmwBmaFAUqa6j36PoUDRn2f1BYahQFen9IyXfKFAB5/0RTNzoUD+nx0Q2WmhQCycSNuIYKFAUgFxl0JXoUAuXbQ0Bk6hQMoCUqPTRKFA8LCq06o7oUCzOUC2izKhQBkrtTt2KaFA0HjMVGogoUD4JmnyZxehQP/1jQVvDqFAeg9df38FoUAKtBdRmfygQELqHWy886BAii7uwejqoED4IyVEHuKgQCRGfeRc2aBA7JvOlKTQoEApaw5H9cegQE/tTu1Ov6BA9QS/ebG2oEBG9KneHK6gQEwUdw6RpaBAJo2p+w2doEAND+CYk5SgQD6M1NghjKBArvNbrriDoECc7GUMWHugQOmS/OX/cqBARzRELrBqoEAmDnvYaGKgQHcM+dcpWqBAKYkvIPNRoEBmDKmkxEmgQJ4NCVmeQaBAPbULMYA5oEApn4UgajGgQO6dYxtcKaBApn6qFVYhoECOzXYDWBmgQFOb/NhhEaBAAkOHinMJoECuMHkMjQGgQHFRl6Zc859AiB8dp67jn0CXZtADENSfQLIlKqaAxJ9AxVPPdwC1n0B+dJBij6WfQHYuaVAtlp9AjOJ/K9qGn0BzRCXelXefQGn001JgaJ9AExowdDlZn0CJAActIUqfQHCzTmgXO59ARZ0lERwsn0CxJtISLx2fQPhWwlhQDp9AeXWLzn//nkBBrOlfvfCeQJyrv/gI4p5AvU4WhWLTnkBbQRzxycSeQFimJSk/tp5AYr+rGcKnnkCJlUyvUpmeQNSiytbwip5AxXwMfZx8nkDIfxyPVW6eQJ97KPobYJ5AnmCBq+9RnkDt7ZqQ0EOeQJdgC5e+NZ5AfiOLrLknnkA/gPS+wRmeQNNQQ7zWC55AKbKUkvj9nUB8tyYwJ/CdQI8eWINi4p1ArQSoeqrUnUCBnLUE/8adQLTkPxBguZ1ATF8ljM2rnUDtyWNnR56dQLbWF5HNkJ1AC+Z8+F+DnUDywOyM/nWdQFhU3z2paJ1A8Gzq+l9bnUDUc8GzIk6dQOorNVjxQJ1A428z2MsznUAF8cYjsiadQI32FiukGZ1A1h1n3qEMnUATGxcuq/+cQMl6ogrA8pxA3mOgZODlnEBSWsMsDNmcQKMC2VNDzJxAxuXJyoW/nEDMNZmC07KcQA+TZGwsppxAGtJjeZCZnEAHwuia/4ycQJPzXsJ5gJxAs4BL4f5znEDF1EzpjmecQFV1GswpW5xAbsuEe89OnEB87XTpf0KcQLlp7Ac7NpxAKhEFyQAqnEAiw/Ae0R2cQEc5+furEZxALdR/UpEFnEBmaP0UgfmbQCEMAjZ77ZtAQOU0qH/hm0D891NejtWbQPX1M0unyZtA1A3AYcq9m0Bcu/mU97GbQPGX+NcupptAqyvqHXCam0DIvhFau46bQK4ryH8Qg5tARLF7gm93m0Dhxa9V2GubQJDq/OxKYJtAzH4QPMdUm0C9lKw2TUmbQMbFp9DcPZtAnwft/XUym0C7gXuyGCebQDdjZuLEG5tAF7nUgXoQm0AGRQGFOQWbQF5UOuAB+ppAuJfhh9PumkDA+mtwruOaQIZ8YY6S2JpAIghd1n/NmkC9TQw9dsKaQAKcL7d1t5pA2rmZOX6smkClwC+5j6GaQKv26CqqlppADarOg82LmkDxC/y4+YCaQCUMnr8udppAATXzjGxrmkCvh0sWs2CaQM1YCFECVppAVS2cMlpLmkDxl4qwukCaQIcWaMAjNppANfDZV5UrmkCME5ZsDyGaQBz1YvSRFppAYm4X5RwMmkDsnJo0sAGaQOjB49hL95lA5CH6x+/smUD25PT3m+KZQBX3+l5Q2JlA2ehC8wzOmUB00BKr0cOZQO8qwHyeuZlAyL2vXnOvmUC/eFVHUKWZQPxXNC01m5lAa0beBiKRmUB1APTKFoeZQOH2JHATfZlAFDIv7RdzmUCFNd84JGmZQHPjD0o4X5lA7WCqF1RVmUAE+qWYd0uZQFUGCMSiQZlAwM3jkNU3mUBsbVr2Dy6ZQAO9mutRJJlAKTThZ5samUA80Hdi7BCZQEH6tdJEB5lAIG0AsKT9mEAEHMnxC/SYQBEZj4966phAOHzegPDgmEBdSlC9bdeYQKpcijzyzZhAE0g/9n3EmEApRS7iELuYQAkYI/iqsZhAmvj1L0yomEDseouB9J6YQOB31OSjlZhA8fXNUVqMmEBEEoHAF4OYQOPpAinceZhAJoN0g6dwmEBftwLIeWeYQKIc5u5SXphA2e9i8DJVmEDt/sjEGUyYQDuTc2QHQ5hAJ1zJx/s5mEDhWTzn9jCYQGTISbv4J5hAlQp6PAEfmECglWBjEBaYQHPcmygmDZhAdTvVhEIEmEBb5MBwZfuXQDvKHeWO8pdAv4212r7pl0B/aVxK9eCXQJoe8Swy2JdAYeFce3XPl0BGRpMuv8aXQNkukj8PvpdACbdhp2W1l0B/IhRfwqyXQB/KxV8lpJdAwgmdoo6bl0ABLsog/pKXQD9ih9NzipdAw54YtO+Bl0ASl8u7cXmXQFKo9+P5cJdA8cf9JYhol0Backh7HGCXQNqZS922V5dAq5WERVdPl0AdEXqt/UaXQOz6uw6qPpdAq3TjYlw2l0BnwpKjFC6XQFo6dcrSJZdAzDQ/0ZYdl0AW/K2xYBWXQLm8h2UwDZdAsHWb5gUFl0DN6MAu4fyWQEGL2DfC9JZAQXbL+6jslkDSV4t0leSWQLBjEpyH3JZAT0RjbH/UlkALDInffMyWQGcml+9/xJZAeEmploi8lkBiZ+POlrSWQAOgcZKqrJZAqDKI28OklkD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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"AAAAAACI00BRiwcFrirTQKbgunfH0NJAdNFFFx160kAw6Av6gibSQB+fZEPQ1dFAtuPy4N6H0UALHLNOizzRQOoa+WC089BAFDuxEzut0EDt8E1eAmnQQLwX3gvvJtBAbiKxLc/Nz0DUxG8QqFHPQONLGbM72c5A13Jws19kzkDQbhQo7PLNQH+VBnO7hM1Atr4NGKoZzUCWlpaWlrHMQG/BukZhTMxAYg8iOezpy0CiOXkZG4rLQDDkQBPTLMtASAW+uPrRykBbfNrreXnKQCClycg5I8pAkiRJkiTPyUBwIFqfJX3JQKSUUkopLclAK5sp4RzfyECkReSW7pLIQLYmC3aNSMhAnOQSVOn/x0CwLqTF8rjHQBQ7sRObc8dAYI5IMdQvx0DIQhaykO3GQGhShsHDrMZAEpZ7GmFtxkA3OpD/XC/GQJ9h1TOs8sVAL4wI9EO3xUDVITbwGX3FQIA4wUUkRMVABVLJeVkMxUDTZedzsNXEQHsTPHkgoMRAA1jJJ6FrxEDokRJyKjjEQJ8H/pq0BcRAIIPzMTjUw0Dn6zMPrqPDQP4XZlAPdMNAVVVVVVVFw0A3b968eRfDQKQwCGJ26sJAZ5xEWUW+wkAoR9jt4JLCQBlvZZ9DaMJAPZiYH2g+wkCXnPRPSRXCQDREvD/i7MFAR5v3KS7FwUDiW5NzKJ7BQNrdmKnMd8FAPxp9fxZSwUCQaIXNAS3BQMmyQI+KCMFAtPIT4qzkwEB63tgDZcHAQNe8jVGvnsBAGWoVRoh8wEDzpgZ57FrAQJ7YiZ3YOcBAhm9EgUkZwEBabKIWePK/QJGriXZas79AMNJ7UDR1v0AAAAAAADi/QDQAMgy4+75ATK4gJlfAvkBL+T4n2IW+QBqP5g82TL5Ag0jrBWwTvkBlez5Tddu9QM1loWRNpL1Aye9lyO9tvUCEDT0tWDi9QPAUEmGCA71AXGTyT2rPvEAxwAADDJy8QJ/Wc59jabxAE2CfZW03vECKWgewJQa8QFjlfPKI1btA6UhEuZOlu0D8vEOoQna7QPeEOnqSR7tAAAAAAIAZu0BOT8ofCOy6QEA6fNQnv7pAV/z5LNySukA0rYRLIme6QGX3G2X3O7pA79XlwFgRukC7FJy3Q+e5QBVT/7K1vblAw0pPLayUuUBcIciwJGy5QDmMJNccRLlASpIkSZIcuUBYuRi+gvW4QChvcfvrzrhAm4BS1MuouEDHcyopIIO4QHSbTefmXbhAyLyUCB45uECTIf+SwxS4QG/zV5jV8LdAuL3eNVLNt0CY9fKTN6q3QG1pwuWDh7dAjnn6aDVlt0B5/ntlSkO3QC3BES3BIbdA+GspG5gAt0AX246Uzd+2QIm1KQdgv7ZApze96U2ftkDTGaq7lX+2QNR+sgQ2YLZA9NW/VC1BtkBHnqpDeiK2QMf4A3EbBLZAPvjggw/mtUBCnqcqVci1QI513RrrqrVAb7r3ENCNtUDQAi3QAnG1QOBXSCKCVLVA/rN910w4tUAd2D/GYRy1QExsF8u/ALVAnV97yGXltEAdfKqmUsq0QPYjhlOFr7RAXi1uwvyUtEBD0x3st3q0QCGxic61YLRAwMC+bPVGtEACUcLOdS20QDvtcgE2FLRA1CxqFjX7s0B3Y98jcuKzQBAqi0TsybNAdrmLl6Kxs0CwD0pAlJmzQBnZX2bAgbNA7RZ+NSZqs0D9fFTdxFKzQJGAeZGbO7NAphJTiakks0AAAAAA7g2zQLHxQTRo97JA6whoaBfhskAjETri+sqyQL5D5OoRtbJAppjjzlufskBRn/Ld14myQPvb9mqFdLJA4aTuy2NfskCHe99ZckqyQDLexHCwNbJA1I1/bx0hskDqRMW3uAyyQMDbEK6B+LFAzdaSuXfksUD6WyJEmtCxQKOLLrrovLFAZTqwimKpsUDFCBwnB5axQObVVAPWgrFApIqelc5vsUBgOpFW8FyxQBWXDME6SrFAIrYrUq03sUCLIzmJRyWxQFxBo+cIE7FA8fDw8PAAsUAVhLYq/+6wQNXzihwz3bBAEFv9T4zLsEDcsopQCrqwQNLOk6usqLBAg5dT8HKXsEBGgdWvXIawQMI97HxpdbBAeaYo7JhksEDM3tCT6lOwQO6r1wteQ7BARwHU7fIysEDNv/jUqCKwQAOnDF5/ErBAJ3ZiJ3YCsEC6eKKhGeWvQPGsWfeFxa9AczJ9lTCmr0CQTXzEGIevQHbclM89aK9AQqjFBJ9Jr0C6BcG0OyuvQLTD3zITDa9AD2UU1STvrkBEpN7zb9GuQKQ+P+rzs65AawWsFbCWrkDIMgTWo3muQCYBhY3OXK5A+oK+oC9ArkB2uYh2xiOuQHXo+HeSB65AISZXEJPrrUDEJBStx8+tQFc1v70vtK1AT4H8s8qYrUBSensDmH2tQHV+7SGXYq1Awq/8hsdHrUCc/UKsKC2tQO9eQQ26Eq1A3TtXJ3v4rEDHBbp5a96sQIP8bIWKxKxAvB85zdeqrEBXS6XVUpGsQMl97iT7d6xAeEcAQ9BerEARYm250UWsQOduaBP/LKxAZNu83VcUrEC06sem2/urQLvjcf6J46tAd2IndmLLq0D8y9KgZLOrQErk1RKQm6tAFIUDYuSDq0DCdJklYWyrQPhcOvYFVatA1N/nbdI9q0A7y/wnxiarQHVpJ8HgD6tAe+5j1yH5qkBTAfcJieKqQLFgaPkVzKpAb6J9R8i1qkAkDTWXn5+qQEaLwIybiapAQLeAzbtzqkAAAAAAAF6qQFvl7ctnSKpAzEsa2vIyqkDy5nDUoB2qQH669GVxCKpA17C7OmTzqUAcR+r/eN6pQAhOr2OvyalAPb8/FQe1qUCFptLEf6CpQJYenSMZjKlA/GDO49J3qUCv6Iu4rGOpQOqm7VWmT6lA/0n6cL87qUCPlaO/9yepQAPMwvhOFKlAuSgV1MQAqUCeajgKWe2oQOdup1QL2qhAbdu2bdvGqECL2JEQybOoQPPZNvnToKhAZXZ05PuNqEC8TeaPQHuoQDP98bmhaKhAhyHEIR9WqEChZk2HuEOoQJakP6ttMahAnQkLTz4fqEDdUNs0Kg2oQJ8FlR8x+6dA09LS0lLpp0B+3uISj9enQPgwxKTlxadAqCckTla0p0D58lvV4KKnQHcfbgGFkadAoCkEmkKAp0BxHGxnGW+nQEA6ljIJXqdA3a8SxRFNp0CgUQ/pMjynQE5iVWlsK6dAlWNHEb4ap0Dx796sJwqnQM6dqgip+aZAtevL8UHppkBcNfU18timQGGxZ6O5yKZAnnfxCJi4pkDHj+s1jaimQE0IOPqYmKZAShVAJruIpkBIN/KK83imQNtpwPlBaaZAu1meRKZZpkBrov89IEqmQBoT1rivOqZAxPqPiFQrpkBKexaBDhymQIHjy3bdDKZABBCKPsH9pUCk0qCtue6lQG5g1JnG36VACcZb2efQpUBrYt9CHcKlQKxnd61ms6VA+GGq8MOkpUBixGvkNJalQJZ7GmG5h6VASoZ/P1F5pUBAk8xY/GqlQOCkmoa6XKVALrroootOpUAgfRqIb0ClQCD29hBmMqVAwkSnGG8kpUBzXbV6ihalQCfMChO4CKVA33vvvff6pED4gghYSe2kQCj0Vr6s36RAF7Q2ziHSpECEU11lqMSkQNLt2GFAt6RA/wsPoumppEDai7sEpJykQHeL72hvj6RAzVgQrkuCpEBTZdazOHWkQLc9TFo2aKRAaIXNgURbpEAT9gULY06kQN1i8NaRQaRAYb/VxtA0pEBRKky8HyikQLb7NZl+G6RAwNbAP+0OpED9vmSSawKkQBsx43P59aNA5j5Gx5bpo0Cvrt9vQ92jQOcdSFH/0KNA6CZeT8rEo0DyiUVOpLijQC9ZZjKNrKNAySds4ISgo0D8O0U9i5SjQBjEIS6giKNAYg5zmMN8o0DWw+ph9XCjQKolenA1ZaNAl01RqoNZo0DWcN71302jQL8lzTlKQqNADqwFXcI2o0C1N6xGSCujQDo+IN7bH6NAjMb7Cn0Uo0BRu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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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WUlshtUCJWKIC5AW1QMxex72z6rRAJr6GccnPtEBo0R0RJLW0QOCEI5XCmrRAom1m+6OAtEBr4ctGx2a0QGUGMH8rTbRAOtJGsc8ztEB08H3ushq0QDKI30zUAbRA1tn15jLps0BGra/bzdCzQPKJRU6kuLNA0bEfZrWgs0Dx2LxOAImzQGWTmTeEcbNAoXMYVEBas0Bw02rbM0OzQBVCegheLLNANJLSGb4Vs0BigoxRU/+yQHb7OPUc6bJAxd/MTRrTskC7Zo2nSr2yQG8A/VGtp7JA0LzIn0GSskBuMrbmBn2yQNHgkX/8Z7JAkQoexiFTskCAAwIZdj6yQFHvudn4KbJATu2GbKkVskDKrV84hwGyQBlu4aaR7bFAAVhBJMjZsUCPQT4fKsaxQIvKEgm3srFAptRnVW6fsUDIU0d6T4yxQNRzD/BZebFAXRFmMY1msUDwgiy76FOxQImwcwxsQbFA6HZwphYvsUCxVHAM6ByxQBJfzsPfCrFA/nvoU/34sEDw3xRGQOewQFXNlyWo1bBAsJOZfzTEsEDEzBzj5LKwQO3V9OC4obBACYS8C7CQsEBFEM33yX+wQEQ8NTsGb7BAB6ywbWResEAvdJ8o5E2wQB3b/QaFPbBAhUtcpUYtsEAxd9ehKB2wQJGoEJwqDbBAsYNMapj6r0D60FgfGtuvQJu3S5/Zu69AIOv5NNacr0ABp/ktD36vQClRldqDX69AB2q+jTNBr0AEyACdHSOvQHccdmBBBa9AI8C5Mp7nrkBkxdxwM8quQDtOWnoAra5AeyQMsQSQrkBgkh95P3OuQOx5CjmwVq5AbqmAWVY6rkCka2lFMR6uQPlR1WlAAq5AWTf0NYPmrUBCegsb+cqtQKhsbIyhr61ASvhq/3uUrUAtdlTrh3mtQAm4ZsnEXq1AVELHFDJErUDJtXpKzymtQC9nXOmbD61AViQWcpf1rEAWJRhnwdusQFwnkUwZwqxAF7VmqJ6orEAaky0CUY+sQPJXIuMvdqxAwCki1jpdrEAWoqNncUSsQPrWryXTK6xAPYjbn18TrEAwcEBnFvurQPK2dg734qtAd4eOKQHLq0CVxQlONLOrQErk1RKQm6tAYdtFEBSEq0DmOwzgv2yrQI5iNR2TVatAischZI0+q0DjaoBSrierQOdcSYf1EKtA9mG4omL6qkD4sEdG9eOqQAzMqhStzapAsXLJsYm3qkDlrLrCiqGqQLnuv+2vi6pAvFNA2vh1qkCx8cMwZWCqQBlC75r0SqpAEqJ+w6Y1qkD/50FWeyCqQIYOGAByC6pAY/Tqbor2qUCwMKtRxOGpQCL7S1gfzalAwCe/M5u4qUDANfGVN6SpQA9xxTH0j6lALSYSu9B7qUDh55zmzGepQHXmFmroU6lAFlgZ/CJAqUAC8iFUfCypQBNyjyr0GKlAZTieOIoFqUCz8GQ4PvKoQB5L0eQP36hACsSk+f7LqEC0enEzC7moQE8Wl080pqhAMbk/DHqTqED0AV0o3ICoQBYapWNabqhA+9GPfvRbqEDayVM6qkmoQIen41h7N6hAqFjrnGclqEAwYc3JbhOoQNw1oKOQAahAZaIr78zvp0BDO+ZxI96nQKva8vGTzKdAqygeNh67p0AHLtwFwqmnQMrxRSl/mKdALSEXaVWHp0DEwauORHanQJPt/WNMZadACpmjs2xUp0CHYsxIpUOnQFhrP+/1MqdA4TlZc14ip0DupAmi3hGnQMjH0Uh2AadAHP/BNSXxpkBS7nc36+CmQFmNHB3I0KZAmj5itrvApkAH7YLTxbCmQAkyPkXmoKZAKIPX3ByRpkBhZxRsaYGmQN2zOsXLcaZACtAOu0NipkDTANIg0VKmQPO6QMpzQ6ZAI/yQiys0pkAhq3A5+CSmQEz+A6nZFaZA2ujjr88GpkBsjhwk2velQPO8K9z46KVAv2z/rivapUCiRvRzcsulQP4v1ALNvKVAutzUMzuupUDfZpbfvJ+lQO3rId9RkaVAoS/oC/qCpUA9RMA/tXSlQBU45lSDZqVAYcj5JWRYpUAwGf2NV0qlQGRyU2hdPKVAqwHAkHUupUBNoWTjnyClQMyjwDzcEqVAKaSveSoFpUDaWmh3ivekQC93exP86aRARn3SK3/cpEBFqK6eE8+kQPTQp0q5waRAhlirDnC0pECJF/vJN6ekQOpQLFwQmqRA/agmpfmMpEBwICOF83+kQCATq9z9cqRAuTqXjBhmpEAUtQ52Q1mkQDwOhnp+TKRAGk6+e8k/pECbCcRbJDOkQGt37vyOJqRAA4jeQQkapEApAX4Nkw2kQLqc/kIsAaRAsCrZxdT0o0Bmtsx5jOijQPqu3UJT3KNAyRJVBSnQo0D5nb+lDcSjQP777AgBuKNAEfzuEwOso0CPyBisE6CjQCwh/rYylKNA9pdyGmCIo0AT0Yi8m3yjQETFkYPlcKNA9wYcVj1lo0AYCvMao1mjQFZuHrkWTqNADEzhF5hCo0CWg7keJzejQCMPX7XDK6NA7lbDw20go0DZhxAyJRWjQF7sqOjpCaNAxkcm0Lv+okCxM1nRmvOiQMl/SNWG6KJAspMwxX/dokAW04KKhdKiQN4D5Q6Yx6JAdrYwPLe8okAksHL84rGiQGRX6jkbp6JARSIJ31+cokCxBnLWsJGiQLXs+AoOh6JAmSKiZ3d8okDt0qHX7HGiQFd8W0ZuZ6JAR2thn/tcokBeNXTOlFKiQKo2gr85SKJAixCnXuo9okBaKiuYpjOiQLczg1huKaJAeqhPjEEfokBNVlwgIBWiQNTjnwEKC6JAeFk7Hf8AokCsq3lg//ahQM9Gz7gK7aFAeZzZEyHjoUBXsl5fQtmhQHGyTIluz6FA5Hy5f6XFoUAIO+Iw57uhQPnzKoszsqFAgCIefYqooUBaTGz1656hQM+a6+JXlaFAonSXNM6LoUA/GZDZToKhQEI9GsHZeKFALqie2m5voUBr06kVDmahQHyK62G3XKFAZow2r2pToUBHLoDtJ0qhQBj/3wzvQKFAmWyP/b83oUBZaemvmi6hQOETahR/JaFA916uG20coUD4unO2ZBOhQELAl9VlCqFAr9oXanABoUAW9hBlhPigQNYrv7eh76BAYnF9U8jmoEDMR8Up+N2gQEhsLiwx1aBAsYluTHPMoEDw6lh8vsOgQGou3q0Su6BASPoL02+yoEC1sQze1amgQPsqJ8FEoaBAima+bryYoEDYRlHZPJCgQCpJevPFh6BAJD/vr1d/oEBGCYEB8nagQCtSG9uUbqBAokrEL0BmoECYZpzy812gQL4a3hawVaBAEJvdj3RNoEAImghRQUWgQKgI5k0WPaBANtcVevM0oEDEtlDJ2CygQGPbZy/GJKBAHb9EoLscoECb5egPuRSgQIagbXK+DKBAk9QDvMsEoECDfufBwfmfQI56Oav76Z9AQyPqHEXan0CmWhMAnsqfQIzv+z0Gu59Amy8XwH2rn0CjegRwBJyfQBvXjjeajJ9A8IesAD99n0B4o3618m2fQKGrUEC1Xp9ASSeYi4ZPn0C8PPSBZkCfQGZNLQ5VMZ9AkJI0G1Iin0BWuyOUXROfQJmLPGR3BJ9AJXzodp/1nkDVW7i31eaeQNDxYxIa2J5AzKDJcmzJnkBjC+7EzLqeQF+5+/Q6rJ5AFL5C77adnkCwXzigQI+eQIu/dvTXgJ5AZ4O82HxynkC5f+w5L2SeQL1iDQXvVZ5ApGBJJ7xHnkCO4O2NljmeQHkqayZ+K55AFBZU3nIdnkB0ul2jdA+eQKYeX2ODAZ5AJOtQDJ/znUASHE2Mx+WdQHK0jtH8151AEXJxyj7KnUBEgnFljbydQJk3K5Horp1AG8BaPFChnUCW3NtVxJOdQISYqcxEhp1AvgLej9F4nUAH57GOamudQECIfLgPXp1AWluz/MBQnUAfw+lKfkOdQIjM0JJHNp1A9Os2xBwpnUD7ugfP/RudQPK2S6PqDp1AMwAoMeMBnUADGt5o5/ScQBuryzr355xA/z5qlxLbnEDKB09vOc6cQM6gKrNrwZxAvdHIU6m0nEByUhBC8qecQHmPAm9Gm5xA/267y6WOnECZFnFJEIKcQHixc9mFdZxASDctbQZpnECqMyH2kVycQDaO7GUoUJxAEVNFrslDnEAqfPrAdTecQNq6848sK5xAQ0IxDe4enEAakssquhKcQANC89qQBpxAfs3wD3L6m0BTYCS8Xe6bQH2jBdJT4ptAsYojRFTWm0BGIiQFX8qbQLpdxAd0vptAqObXPpOym0A47EidvKabQCXzFxbwmptAD6ZbnC2Pm0B8pkAjdYObQCpeCZ7Gd5tA49ANACJsm0DRbrs8h2CbQDfnlEf2VJtApfsxFG9Jm0CUUz+W8T2bQINQfsF9MptAceLEiRMnm0DNXP3ishubQNBLJsFbEJtAREpSGA4Fm0C016fcyfmaQAEvYQKP7ppAXx3MfV3jmkC/2UlDNdiaQJjcTkcWzZpAErhifgDCmkCU8B/d87aaQL7VM1jwq5pAs1te5PWgmkDQ9HF2BJaaQLtrUwMci5pAzL35fzyAmkDc9W3hZXWaQGcHyxyYappADKo9J9NfmkBgNQT2FlWaQCZ9bn5jSppA0a3dtbg/mkBiKcSRFjWaQJtkpQd9KppAh8QVDewfmkBSfLqXYxWaQH1rSZ3jCppAT/yIE2wAmkCxAlDw/PWZQEibhSmW65lA5AohtTfhmUA1nimJ4daZQOGJtpuTzJlAz8ru4k3CmUDMBglVELiZQHdtS+jarZlAcZkLk62jmUDnca5LiJmZQE4MqAhrj5lAeo57wFWFmUDqELtpSHuZQG2BB/tCcZlA/IUQa0VnmUDkX5SwT12ZQCjPX8JhU5lANPZNl3tJmUDIPUgmnT+ZQCk5RmbGNZlAjopNTvcrmUDYx3HVLyKZQHxf1PJvGJlAuH2knbcOmUD48R7NBgWZQI8Ujnhd+5hAkaxJl7vxmEA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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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G0epUDuNGLVwhClQBfNF2wpA6VApUp+hqH1pEAEodUCK+ikQChDtL/F2qRAJQ8GnHHNpEDtPQt3LsCkQAtXVzD8sqRAayjQp9qlpEAMwqy9yZikQIJ1dFLJi6RAR9n9Rtl+pEDLz218+XGkQB2SNtQpZaRAO74WMGpYpEDiaBhyukukQNMykHwaP6RAkmEcMooypEBt+6N1CSakQNvmVSqYGaRAGg2oMzYNpEDyf1Z14wCkQKqiYtOf9KNAClYSMmvoo0BgJ+91RdyjQI6CxYMu0KNA+eajQCbEo0BkH9qRLLijQJl8+FxBrKNA4xLPh2Sgo0A/+mz4lZSjQEeRH5XViKNAv8JxRCN9o0DATSvtfnGjQHUQUHboZaNAXlUfx19ao0AOIxPH5E6jQF6O3113Q6NABA9ycxc4o0CM1vDvxCyjQKEpurt/IaNAortjv0cWo0B7DLrjHAujQLHIvxH//6JAoSutMu70okDlY+8v6umiQND5J/Py3qJABzgsZgjUokAllgRzKsmiQF0l7ANZvqJAHv9PA5SzokCotc5b26iiQJDGN/gunqJAJg+Lw46TokC3Qvio+oiiQKli3pNyfqJAYTjLb/ZzokD00HoohmmiQJH61qkhX6JArsP238hUokDg+x23e0qiQGO2vBs6QKJAQs5u+gM2okAmbPs/2SuiQLaNVNm5IaJAjI6Ws6UXokC0sge8nA2iQLqyF+CeA6JALUlfDaz5oUCfwZ8xxO+hQCGJwjrn5aFAJsDYFhXcoUDSzRq0TdKhQLX05wCRyKFA0+jF696+oUAYZ2BjN7WhQBvOiFaaq6FAKrg1tAeioUCqloJrf5ihQLROr2sBj6FA/NYfpI2FoUDv1lsEJHyhQAZHDnzEcqFAUhIF+25poUA0uTBxI2ChQD/1o87hVqFAPl6TA6pNoUBhEFUAfEShQIBTYLVXO6FAfkNNEz0yoUC+edQKLCmhQKa3zowkIKFAOZI0iiYXoUCuHh70MQ6hQBegwrtGBaFABTZ40mT8oEAqjLMpjPOgQPSKB7O86qBAKgklYPbhoEBqftoiOdmgQKm2E+2E0KBAlIbZsNnHoEDegFFgN7+gQHusve2dtqBArjt8Sw2uoEAGRAdshaWgQDJ39EEGnaBArNz0v4+UoEA+jNTYIYygQFtpen+8g6BAQ9/npl97oED7nThCC3OgQBBYokS/aqBAHYF0oXtioEAWDRhMQFqgQGEwDzgNUqBAniD1WOJJoEA71n2iv0GgQLnOdQilOaBAr8/BfpIxoECCql75hymgQMsAYWyFIaBAdQn1y4oZoECGVl4MmBGgQJOb9yGtCaBA4HQyAcoBoEBPXi493fOfQAogid015J9ADT7fzJ3Un0Cx3sb0FMWfQC3UAT+btZ9AczJ9lTCmn0Ax5lDi1JafQBJNvw+Ih59AK880CEp4n0CKeUe2GmmfQO2ZtgT6WZ9Anltq3udKn0BnZXMu5DufQKN4CuDuLJ9AZBGQ3gcen0CsB4wVLw+fQLQxrXBkAJ9APwfJ26fxnkDyRdtC+eKeQLeWBZJY1J5AHDSPtcXFnkCrkeSZQLeeQE4ElyvJqJ5AkWtcV1+ankDv2w4KA4yeQAJKrDC0fZ5ApzZWuHJvnkAMXFGOPmGeQKNbBaAXU55A+Wz82v1EnkB7DeMs8TaeQAuxh4PxKJ5AcnPazP4ankC8yuz2GA2eQFw68e8//51AHgc7pnPxnUAF7D0ItOOdQNrPjQQB1p1AlnveiVrInUCZUQOHwLqdQKIF7+oyrZ1Ah1WzpLGfnUC2woCjPJKdQH5MptbThJ1AASuRLXd3nUDuisyXJmqdQPlJAQXiXJ1A/bP1ZKlPnUDTQI2nfEKdQO1SyLxbNZ1AiPbDlEYonUCaobkfPRudQG70/k0/Dp1A4XoFEE0BnUBHblpWZvScQP53phGL55xAnnStMrvanEDEN06q9s2cQJFQgmk9wZxArs5dYY+0nED7Bw+D7KecQNRe3r9Um5xA8gguCciOnEDS1nlQRoKcQMv7VofPdZxAntZzn2NpnEClupeKAl2cQIi5ojqsUJxAjG2NoWBEnEBgxGixHzicQHvKXVzpK5xAAXetlL0fnEA2eLBMnBOcQGIA13aFB5xAVJOoBXn7m0BS1MPrdu+bQJFU3ht/45tAMGLEiJHXm0Cq11glrsubQMPrlOTUv5tA/wGIuQW0m0B7e1eXQKibQEyIPnGFnJtAXPmNOtSQm0CmEqzmLIWbQPZdFGmPeZtAHX5Xtfttm0CLAhu/cWKbQFw7GXrxVptA3w0h2npLm0B8yRXTDUCbQAv97liqNJtAlEy4X1Apm0CCR5Hb/x2bQDI/rcC4EptA6x1TA3sHm0BJPt2XRvyaQPxCuXIb8ZpA8+5niPnlmkDo/XzN4NqaQFH9njbRz5pAryWHuMrEmkAyNAFIzbmaQNNE69nYrppAt6w1Y+2jmkDt1OLYCpmaQJ0VBzAxjppAeZHIXWCDmkCOEV9XmHiaQHvhExLZbZpA6qtBgyJjmkBqV1SgdFiaQKXjyF7PTZpA3EYttDJDmkC7SyCWnjiaQIdvUfoSLppAmcCA1o8jmkAfvX4gFRmaQEIyLM6iDppAhxt61TgEmkCJgmks1/mZQP9eC8l975lAC3eAoSzlmUDYP/mr49qZQHq+td6i0JlAK2kFMGrGmUC8CEeWObyZQFaa6AcRsplAjDFne/CnmUCn2k7n152ZQDZ9OkLHk5lA9b7Tgr6JmUDp5tKfvX+ZQL3A/o/EdZlAdIAsStNrmUBNpj/F6WGZQOriKfgHWJlAw/vq2S1OmUDPr5BhW0SZQG2cNoaQOplAkyIGP80wmUA1TDaDESeZQOixC0pdHZlAy2DYirATmUCiwPs8CwqZQDB64ldtAJlA1F0G09b2mEBSSu6lR+2YQN8TLsi/45hAZ2tmMT/amEAIxkTZxdCYQMVEg7dTx5hAbpzow+i9mEDK/Uf2hLSYQOv9gEYoq5hAuX5/rNKhmEC8lzsghJiYQBB/uZk8j5hAkHIJEfyFmEA3oUd+wnyYQLgUnNmPc5hANJs6G2RqmEBBsWI7P2GYQA1sXzIhWJhAr2OH+AlPmEC/nTyG+UWYQAV47NPvPJhAZZMP2uwzmED5vimR8CqYQFjjyfH6IZhABO6J9AsZmEAVvQ6SIxCYQAYLCMNBB5hAqVowgGb+l0Bd40zCkfWXQFV9LYLD7JdAIo6suPvjl0BR9a5eOtuXQE35I21/0pdAVTQF3crJl0CjgVanHMGXQMXqJcV0uJdAE5WLL9Ovl0BOr6nfN6eXQHBfrM6inpdAn7DJ9ROWl0A+gUFOi42XQDhxXdEIhZdAX9BweIx8l0D5jNg8FnSXQHgi+xema5dATYhIAzxjl0DkIDr411qXQMaoUvB5UpdA4iUe5SFKl0Du1jHQz0GXQP4iLKuDOZdALIm0bz0xl0BskHsX/SiXQIS3OpzCIJdAIWW0940Yl0AT2LMjXxCXQKAXDRo2CJdAC+Sc1BIAl0App0hN9feWQB1l/n3d75ZAPK20YMvnlkAHi2rvvt+WQEN3JyS415ZAP0n7+LbPlkApKP5nu8eWQIV8UGvFv5ZAzuEa/dS3lkAmGI4X6q+WQCr24rQEqJZA6FpazySglkDtHz1hSpiWQG0L3GR1kJZAj8KP1KWIlkDWu7iq24CWQJoxv+EWeZZAqxQTdFdxlkAL/ytcnWmWQL0miZToYZZAu1CxFzlalkD7wzLgjlKWQJg8o+jpSpZADN+fK0pDlkCSK82jrzuWQJTx1ksaNJZAM0NwHooslkD7aFMW/ySWQJfVQS55HZZArBkEYfgVlkDO12mpfA6WQIq4SQIGB5ZAgV6BZpT/lUCoWvXQJ/iVQJ0gkTzA8JVABPtGpF3plUAXABADAOKVQDYG7FOn2pVAkpjhkVPTlUD+6/23BMyVQMHTVMG6xJVAjLYAqXW9lUCGgyJqNbaVQGen4f/5rpVAqQFsZcOnlUDa2fWVkaCVQPbUuYxkmZVA2er4RDySlUDRW/q5GIuVQDCmC+f5g5VADHyAx998lUD2uLJWynWVQORXApC5bpVAGmnVbq1nlUApCJjupWCVQAtSvAqjWZVATlu6vqRSlUBLJhAGq0uVQH2ZQdy1RJVA43XYPMU9lUBvTWQj2TaVQJ15eovxL5VAAhK2cA4plUD+4rfOLyKVQH5kJqFVG5VAybCt438UlUBoe/+Rrg2VQBoI06fhBpVA2CHlIBkAlUDxEfj4VPmUQDCX0yuV8pRAG91EtdnrlEA2cx6RIuWUQGlEOLtv3pRAZo5vL8HXlEAn2abpFtGUQHvuxeVwypRAp9G5H8/DlEAQt3STMb2UQPj77TyYtpRATx4iGAOwlECLtBIhcqmUQJhlxlPlopRA0+BIrFyclEAS1qom2JWUQMHtAb9Xj5RACcFocduIlEAL0v45Y4KUQCGE6BTve5RANRRP/n51lEAqkWDyEm+UQEPUT+2qaJRAq3lU60ZilEAD2aro5luUQPf9k+GKVZRA76BV0jJPlEDFHzq33kiUQIR2kIyOQpRARTisTkI8lEAFiOX5+TWUQJkRmYq1L5RApAIo/XQplECiA/hNOCOUQPkwc3n/HJRAHBQIfMoWlEC2nClSmRCUQO0ZT/hrCpRAmjP0akIElECs45imHP6TQH5vwaf695NAQmH2atzxk0CBgcTsweuTQJnQvCmr5ZNASYB0Hpjfk0BW7YTHiNmTQCyZiyF905NAjyMqKXXNk0BgRAbbcMeTQGLFyTNwwZNADHwiMHO7k0BwQ8LMebWTQCT2XgaEr5NAM2iy2ZGpk0AnYXpDo6OTQA2WeEC4nZNAkqNyzdCXk0AeCDLn7JGTQAcehIoMjJNAxBU6tC+Gk0Ar8ChhVoCTQMJ4KY6AepNAEkAYOK50k0ADltVb326TQE2ERfYTaZNA58hPBExjk0CA0N+Ch12TQBOx5G7GV5NAbSRRxQhSk0DKg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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"11prrbXm0kD2AA03aY/SQPu9B980O9JA3tr4Q+/p0UCNnrrZcZvRQHdkX6yYT9FAHsA7KUIG0UBP7U7tTr/QQPlyb5ihetBAhk61pB440EB1bFeDWO/PQBnaxWVkcs9A+zMOYzP5zkBkxVehmoPOQMrVC8hxEc5ApAmn0ZKizUBC/Hnh2TbNQNlc9hwlzsxAUsAwiFRozEBQ6kjlSQXMQN+4cpbopMtAZkZhghVHy0D6Xdz6tuvKQLkkTqW0kspAZfcbZfc7ykDgA6JHaefJQLYsrXH1lMlAg1lSDohEyUB+hwU/DvbIQBTG1Qx2qchAFta1Wq5eyEBTaLvYphXIQDQCQfhPzsdAj2LY4JqIx0B35fxleUTHQKnfdv3dAcdAmj5itrvAxkAQ7cswBoHGQCaR2pWxQsZA2zJ4kLIFxkDmPHNG/snFQG0WDlKKj8VAUE71u0xWxUCE+ZT1Ox7FQB9/xtNO58RAepjQiXyxxEB5yrOkvHzEQOQQvgYHScRAOt5g41MWxEC88kS7m+TDQH/ll1jXs8NA1YqPy/+Dw0AUrR9nDlXDQFDQ3r38JsNAmfcWn8T5wkD0mv8TYM3CQNAxHl3JocJAVOXK7/p2wkBeKtdz70zCQHkrVMGhI8JAmRB33gz7wUDyVJn9K9PBQCV7U3v6q8FAPo2w3HOFwUB48XjNk1/BQJA1kx5WOsFA5Il5xLYVwUARu8LVsfHAQLyMvYlDzsBAn2odN2irwEBHdrdSHInAQJsHT25cZ8BAS8VwNyVGwEDth1t2cyXAQEtH9gxEBcBAtrqk6yfLv0Ds6nKGwIy/QBERjTxMT79Aq6ESjMUSv0AzUWcdJ9e+QNSeoMFrnL5A2DMFcY5ivkBwLZ1Jiim+QF100o1a8b1Ar1Igo/q5vUCJg9EQZoO9QFgEzH6YTb1AIflptI0YvUBY/16XQeS8QAlUqSqwsLxAfDqOjdV9vEDDGKH6rUu8QBjH1MY1GrxACpaWYGnpu0BBlvJORbm7QNOywDDGibtA/zTau+hau0DfTVe8qSy7QLRH1BMG/7pARwW+uPrRukDUeqW1hKW6QNnPmSihebpApt2IQk1OukA5wqVGhiO6QI5C1YlJ+blAMLsfcpTPuUDyYCh2ZKa5QMeWqRy3fblAwiD2+4lVuUDD/n652i25QES8XQmnBrlA1ATjrezfuEBfTyl3qbm4QHV0q0Lbk7hA+AXf+n9uuEBPQNKWlUm4QGdvzRkaJbhAaKP3kgsBuECdkv4caN23QNaHwd0turdA3j3/BVuXt0A3igbR7XS3QHq6aYTkUrdALYm0bz0xt0D7jyTs9g+3QIMeZFwP77ZA4F1HLIXOtkBMqovQVq62QA8NmcaCjrZACsJFlAdvtkDutJvH40+2QB7jn/YVMbZAEZAbv5wStkDHOmfGdvS1QJBDN7mi1rVARzJqSx+5tUChjdg365u1QOI0JkAFf7VA+i2VLGxitUCB2tnLHka1QKmG8PIbKrVAyUX0fGIOtUCaEPdK8fK0QLQZ20PH17RAcU0tVOO8tECS8gBuRKK0QK9hzIjph7RAuclGodFttEAw+Ea5+1O0QDMco9dmOrRAx3sRCBIhtEAaEwpb/Ae0QMcVqeUk77NAkkqSwYrWs0AqOtUMLb6zQPQp0ukKprNAFdwffyOOs0AsDnL3dXazQHywgIEBX7NAb8/vT8VHs0ClKTiZwDCzQAFtkJfyGbNAKRXXiFoDs0B35nyu9+yyQCoAcE3J1rJAI4EHrs7AskB5uu8bB6uyQGjrFuZxlbJAT4KaXg6AskCO3rTa22qyQDePq7LZVbJAxwq+QQdBskAP3BTmYyyyQMRAsQDvF7JANzZd9acDskDR8Jsqju+xQBy7mgmh27FAOjki/t/HsUC1DYh2SrSxQM7coOPfoLFAc6uyuJ+NsUAYl2driXqxQN7jwHOcZ7FAgV4KTNhUsUB+D85wPEKxQC89yGDIL7FAgLrbnHsdsUAFgAaoVQuxQFGNVgdW+bBAeBDfQXznsECz0a3gx9WwQEPhwG44xLBAoIX8eM2ysEAuaCGOhqGwQLn+wj5jkLBA7C8+HWN/sEA+MbC9hW6wQJ6c7bXKXbBAZ7x5nTFNsEATDH4NujywQDHswaBjLLBAUIii8y0csEBj7QqkGAywQMee2KJG+K9AwvlsOZvYr0CC/qBQLrmvQPfMIjD/ma9AZH5yIg17r0DfY9R0V1yvQBWVQ3fdPa9AI81kfJ4fr0Bmk3nZmQGvQGWuU+bO465Azd5I/TzGrkCV4CZ746iuQJiwJ7/Bi65AwRTmKtdurkAeZVIiI1KuQDOUpwulNa5A5XRgT1wZrkBpPC1YSP2tQMg+6ZJo4a1AWuSQbrzFrUDm1jdcQ6qtQN9k/878jq1AlhkNPOhzrUDbiIEaBVmtQNhMb+NSPq1A/zTSEdEjrUCtpIYifwmtQGwgQZRc76xAswiG52jVrED7gKGeo7usQBOCnz0MoqxAvRZESqKIrEBzwQNMZW+sQFcK/MtUVqxAgDTsVHA9rEB0GS5ztySsQBMqr7QpDKxACpTpqMbzq0Dait3gjdurQK+zCu9+w6tAN7NpZ5mrq0Cd3GXf3JOrQPIA1+1IfKtANV77Kt1kq0BLrXEwmU2rQCpOM5l8NqtAdZGOAYcfq0AEHyEHuAirQH940kgP8qpAg5fOZozbqkC3poACL8WqQBnVjb72rqpAAEPQPuOYqkBACFIo9IKqQNJSSCEpbapAeJ0O0YFXqkDg/SHg/UGqQKyJHPicLKpA6tGww14XqkCBdKXuQgKqQAfD0CVJ7alAkn4UF3HYqUAPqFlxusOpQK9kjOQkr6lA7PWXIbCaqUDFxGLaW4apQMh/ysEncqlAe0ugixNeqUDBBKXsHkqpQNaUhZpJNqlAjlbXS5MiqUBqjBS4+w6pQCXnmJeC+6hAfByeoyfoqECujTiW6tSoQIP9UyrLwahAflWwG8muqEDWed4m5JuoQP4rPQkciahAavv1gHB2qEA8RPpM4WOoQI47AC1uUahAKQmA4RY/qEA/7rAr2yyoQAV5hs26GqhAzcStibUIqEB4xoojy/anQO+kNV/75KdAYh14AUbTp0Ao88rPqsGnQOlqU5ApsKdA39DgCcKep0AHCuoDdI2nQO4vi0Y/fKdA9TaDmiNrp0DdnjHJIFqnQFEtlJw2SadATbJE32Q4p0As1nZcqyenQC/x9d8JF6dAPuwiNoAGp0DQKvIrDvamQLd96Y6z5aZAoB4eLXDVpkA9tDLVQ8WmQMJeVVYutaZArMw9gC+lpkCZVysjR5WmQBQp4w91haZAKWeuF7l1pkCPaFgME2amQGXwLMCCVqZANHH2BQhHpkApV/ywojemQHFZAZVSKKZActJBhhcZpkDXHnJZ8QmmQFsDvePf+qVACRnC+uLrpUD+P5R0+tylQHMYuCcmzqVAAoIi62W/pUDxIDeWubClQIvpxgAhoqVARbEOA5yTpUCoxbV1KoWlQOmIzDHMdqVAAxTLEIFopUBO3o/sSFqlQGFqXp8jTKVAQ/jdAxE+pUC9PBj1EDClQLkdeE4jIqVAoXPI60cUpUCgzzKpfgalQKZGPmPH+KRALkHO9iHrpECiTyFBjt2kQD0D0B8M0KRAf8vLcJvCpEDq110SPLWkQB3+JePtp6RAJ6QZwrCapEAEr4KOhI2kQDJ1/idpgKRAQ7V8bl5zpEBrkD5CZGakQO2I1YN6WaRAUIQiFKFMpEBd0VTU1z+kQMkx6aUeM6RAdueoanUmpEBOxagE3BmkQJZDSFZSDaRAspcwQtgApEBJz1OrbfSjQMPu63QS6KNA+RJ6gsbbo0AylsW3ic+jQDc42/hbw6NAhEkMKj23o0CP2e0vLaujQAXoV+8rn6NAAplkTTmTo0AkbG8vVYejQIx2FHt/e6NAm58vFrhvo0B34Nvm/mOjQE6GctNTWKNAP3eKwrZMo0DbefeaJ0GjQE1/yUOmNaNAAvBLpDIqo0DL+gSkzB6jQITmtCp0E6NAHWZVICkIo0D/7hht6/yiQNgRavm68aJAptXqrZfmokARFXRzgduiQPfdFDN40KJANdMR1nvFokCLkORFjLqiQLEQO2ypr6JAdhX3MtOkokD0kS2ECZqiQMkWJkpMj6JAVEBab5uEokDgJnXe9nmiQMTQUoJeb6JAaqb/RdJkokAz6LcUUlqiQDIm59ndT6JAvLkngXVFokC/QEL2GDuiQNgaLSXIMKJAL+gL+oImokD5CS9hSRyiQLIkE0cbEqJA/qNgmPgHokAmQOtB4f2hQDGFsTDV86FAl1vcUdTpoUB2kr6S3t+hQF1r1ODz1aFAjSfDKRTMoUDAllhbP8KhQF+nimN1uKFAK/h2MLauoUBYa2KwAaWhQAK7uNFXm6FACg8Mg7iRoUBRlBSzI4ihQEEVsFCZfqFArJPhShl1oUD349CQo2uhQI5JyhE4YqFAkRQ+vdZYoUDOQMCCf0+hQOMVCFIyRqFAosjvGu88oUCfHXTNtTOhQOcMtFmGKqFA5Gbwr2AhoUBeeovARBihQJ27CHwyD6FAqmwM0ykGoUCaRlu2Kv2gQPkj2hY19KBAPayN5UjroEA/AJoTZuKgQMRnQpKM2aBAAwDpUrzQoEApaw5H9cegQN6AUWA3v6BAwP9ukIK2oEDKP0HJ1q2gQLzlv/wzpaBAYpf/HJqcoEDOsDEcCZSgQHX6o+yAi6BAL2DAgAGDoEAfqQzLinqgQGowKr4ccqBA1p7VTLdpoEA8peZpWmGgQMq3TwgGWaBAGsodG7pQoEAbDHiVdkigQLqnn2o7QKBAYn/vjQg4oEA57dvy3S+gQB6D8oy7J6BAdcvZT6EfoECeClEvjxegQDkBMB+FD6BAFa9mE4MHoEDCLfr/Ef+fQAkFJrIt759AbZC/JVnfn0BwIGRDlM+fQIU23/Pev59ANxMqIDmwn0CtRWuxoqCfQGs89pAbkZ9AZNdKqKOBn0BL+xThOnKfQCQmLCXhYp9ACAWTXpZTn0AtC3d3WkSfQBIKMFotNZ9A38o/8Q4mn0DuqFEn/xafQH0tOuf9B59Aeaz2Gwv5nkBy4qywJuqeQKKTqpBQ255ADCxlp4jMnkCwYHngzr2eQNHRqicjr55AOq7jaIWgnkCeVzSQ9ZGeQPMH04lzg55AyXcbQv90nkCphY6lmGaeQHDe0aA/WJ5AlaavIPRJnkB3JBYStjueQIVrF2KFLZ5AbAjp/WEfnkAcruPSSxGeQMfjgs5CA55AtbNk3kb1nUAJW0nwV+edQFr6EvJ12Z1AM0fF0aDLnUBbPoV92L2dQBLXmOMcsJ1ABrdm8m2inUAn53WYy5SdQEeJbcQ1h51Ajo4UZax5nUCoblFpL2ydQMrfKcC+Xp1AdY/CWFpRnUAA3F4iAkSdQNeOYAy2Np1AhpdHBnYpnUB6x7H/QRydQG+OWugZD51Ar7casP0BnUDsJ+hG7fScQNub1Zzo55xAeGcSou/anEAANupGAs6cQIbKxHsgwZxATMElMUq0nECsUaxXf6ecQLMQE+C/mpxAW7QvuwuOnEBn1/LZYoGcQOO9Zy3FdJxAORq0pjJonEDt0hc3q1ucQOvI7M8uT5xAbp6mYr1CnECDftLgVjacQBflFjz7KZxAnWczZqodnEBKfgBRZBGcQNhNb+4oBZxA2nGJMPj4m0Cbx3AJ0uybQIo5X2u24JtAJoumSKXUm0CDJbCTnsibQDzk/D6ivJtAAOMkPbCwm0CQS9eAyKSbQEQk2vzqmJtAFx8KpBeNm0AhaVppToGbQJt61D+PdZtAWOeXGtppm0C1L9rsLl6bQAOS5qmNUptAcNwdRfZGm0BUP/axaDubQAQg++PkL5tABuzMzmokm0DI7CBm+hibQLkbwZ2TDZtA0/aLaTYCm0CdVXS94vaaQIs+gY2Y65pA0LzNzVfgmkCZtohyINWaQLHD9G/yyZpAhwRous2+mkCl+UtGsrOaQH9bHQigqJpAsPJr9JadmkCRcNr/lpKaQD1IHh+gh5pA5of/RrJ8mkCaslhszXGaQFeaFoTxZppAiTo4gx5cmkDcks5eVFGaQGuC/AuTRppATKP2f9o7mkBuJgOwKjGaQNqveZGDJppAQzPDGeUbmkDs0Fk+TxGaQOqyyPTBBppAsuqrMj38mUD8TrDtwPGZQAVakxtN55lACwgjsuHcmUAztj2nftKZQKgB0vAjyJlAG6fehNG9mUCFYnJZh7OZQD3Pq2RFqZlAWEi5nAufmUBTydj32ZSZQAvPV2ywiplA+ziT8I6AmUDHKvd6dXaZQAnu/gFkbJlActQ0fFpimUAiGjLgWFiZQFHIniRfTplAOpgxQG1EmUBJ1q8pgz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JGPiEAUj8FOjp6IQC9xZ1GLrYhASVMNVIi8iEBkNbNWhcuIQH4XWVmC2ohAmfn+W3/piECz26RefPiIQM29SmF5B4lA6J/wY3YWiUACgpZmcyWJQB1kPGlwNIlAN0bia21DiUBSKIhualKJQGwKLnFnYYlAh+zTc2RwiUChznl2YX+JQLywH3lejolA1pLFe1udiUDxdGt+WKyJQAtXEYFVu4lAJjm3g1LKiUBAG12GT9mJQFv9AolM6IlAdd+oi0n3iUCQwU6ORgaKQKqj9JBDFYpAxYWak0AkikDfZ0CWPTOKQPpJ5pg6QopAFCyMmzdRikAvDjKeNGCKQEnw16Axb4pAY9J9oy5+ikB+tCOmK42KQJiWyagonIpAs3hvqyWrikDNWhWuIrqKQOg8u7AfyYpAAh9hsxzYikAdAQe2GeeKQDfjrLgW9opAUsVSuxMFi0Bsp/i9EBSLQIeJnsANI4tAoWtEwwoyi0C8TerFB0GLQNYvkMgEUItA8RE2ywFfi0AL9NvN/m2LQCbWgdD7fItAQLgn0/iLi0Bbms3V9ZqLQHV8c9jyqYtAkF4Z2++4i0CqQL/d7MeLQMUiZeDp1otA3wQL4+bli0D65rDl4/SLQBTJVujgA4xALqv86t0SjEBJjaLt2iGMQGNvSPDXMIxAflHu8tQ/jECYM5T10U6MQLMVOvjOXYxAzfff+stsjEDo2YX9yHuMQAK8KwDGioxAHZ7RAsOZjEA3gHcFwKiMQFJiHQi9t4xAbETDCrrGjECHJmkNt9WMQKEIDxC05IxAvOq0ErHzjEDWzFoVrgKNQPGuABirEY1AC5GmGqggjUAmc0wdpS+NQEBV8h+iPo1AWzeYIp9NjUB1GT4lnFyNQJD74yeZa41Aqt2JKpZ6jUDEvy8tk4mNQN+h1S+QmI1A+YN7Mo2njUAUZiE1iraNQC5IxzeHxY1ASSptOoTUjUBjDBM9geONQH7uuD9+8o1AmNBeQnsBjkCzsgRFeBCOQM2Uqkd1H45A6HZQSnIujkACWfZMbz2OQB07nE9sTI5ANx1CUmlbjkBS/+dUZmqOQGzhjVdjeY5Ah8MzWmCIjkChpdlcXZeOQLyHf19apo5A1mklYle1jkDxS8tkVMSOQAsucWdR045AJhAXak7ijkBA8rxsS/GOQFrUYm9IAI9AdbYIckUPj0CPmK50Qh6PQKp6VHc/LY9AxFz6eTw8j0DfPqB8OUuPQPkgRn82Wo9AFAPsgTNpj0Au5ZGEMHiPQEnHN4cth49AY6ndiSqWj0B+i4OMJ6WPQJhtKY8ktI9As0/PkSHDj0DNMXWUHtKPQOgTG5cb4Y9AAvbAmRjwj0Ad2GacFf+PQBtdhk8JB5BAKU7Z0IcOkEA2PyxSBhaQQEMwf9OEHZBAUCHSVAMlkEBeEiXWgSyQQGsDeFcANJBAePTK2H47kECF5R1a/UKQQJLWcNt7SpBAoMfDXPpRkECtuBbeeFmQQLqpaV/3YJBAx5q84HVokEDViw9i9G+QQOJ8YuNyd5BA7221ZPF+kED8Xgjmb4aQQApQW2fujZBAF0Gu6GyVkEAkMgFq65yQQDEjVOtppJBAPxSnbOirkEBMBfrtZrOQQFn2TG/lupBAZuef8GPCkEB02PJx4smQQIHJRfNg0ZBAjrqYdN/YkECbq+v1XeCQQKmcPnfc55BAto2R+FrvkEDDfuR52faQQNBvN/tX/pBA3WCKfNYFkUDrUd39VA2RQPhCMH/TFJFABTSDAFIckUASJdaB0CORQCAWKQNPK5FALQd8hM0ykUA6+M4FTDqRQEfpIYfKQZFAVdp0CElJkUBiy8eJx1CRQG+8GgtGWJFAfK1tjMRfkUCKnsANQ2eRQJePE4/BbpFApIBmEEB2kUCxcbmRvn2RQL9iDBM9hZFAzFNflLuMkUDZRLIVOpSRQOY1BZe4m5FA9CZYGDejkUABGKuZtaqRQA4J/ho0spFAG/pQnLK5kUAo66MdMcGRQDbc9p6vyJFAQ81JIC7QkUBQvpyhrNeRQF2v7yIr35FAa6BCpKnmkUB4kZUlKO6RQIWC6Kam9ZFAknM7KCX9kUCfZI6powSSQK1V4SoiDJJAukY0rKATkkDHN4ctHxuSQNQo2q6dIpJA4hktMBwqkkDvCoCxmjGSQPz70jIZOZJACe0ltJdAkkAX3ng1FkiSQCTPy7aUT5JAMcAeOBNXkkA+sXG5kV6SQEyixDoQZpJAWZMXvI5tkkBmhGo9DXWSQHN1vb6LfJJAgGYQQAqEkkCOV2PBiIuSQJtItkIHk5JAqDkJxIWakkC1KlxFBKKSQMMbr8aCqZJA0AwCSAGxkkDd/VTJf7iSQOrup0r+v5JA+N/6y3zHkkAF0U1N+86SQBLCoM551pJAH7PzT/jdkkAtpEbRduWSQDqVmVL17JJAR4bs03P0kkBUdz9V8vuSQGJoktZwA5NAb1nlV+8Kk0B8SjjZbRKTQIk7i1rsGZNAlyze22ohk0CkHTFd6SiTQLEOhN5nMJNAvv/WX+Y3k0DL8CnhZD+TQNnhfGLjRpNA5tLP42FOk0DzwyJl4FWTQAC1deZeXZNADqbIZ91kk0AblxvpW2yTQCiIbmrac5NANXnB61h7k0BDahRt14KTQFBbZ+5VipNAXUy6b9SRk0BqPQ3xUpmTQHguYHLRoJNAhR+z80+ok0CSEAZ1zq+TQJ8BWfZMt5NArfKrd8u+k0C64/74ScaTQMfUUXrIzZNA1MWk+0bVk0Ditvd8xdyTQO+nSv5D5JNA/Jidf8Lrk0AJivAAQfOTQBd7Q4K/+pNAJGyWAz4ClEAxXemEvAmUQD5OPAY7EZRASz+Ph7kYlEBZMOIIOCCUQGYhNYq2J5RAcxKICzUvlECAA9uMszaUQI70LQ4yPpRAm+WAj7BFlECo1tMQL02UQLXHJpKtVJRAw7h5EyxclEDQqcyUqmOUQN2aHxYpa5RA6otyl6dylED4fMUYJnqUQAVuGJqkgZRAEl9rGyOJlEAfUL6coZCUQC1BER4gmJRAOjJkn56flEBHI7cgHaeUQFQUCqKbrpRAYgVdIxq2lEBv9q+kmL2UQHznAiYXxZRAidhVp5XMlECWyagoFNSUQKS6+6mS25RAsatOKxHjlEC+nKGsj+qUQMuN9C0O8pRA2X5Hr4z5lEDmb5owCwGVQPNg7bGJCJVAAFJAMwgQlUAOQ5O0hheVQBs05jUFH5VAKCU5t4MmlUA1Fow4Ai6VQEMH37mANZVAUPgxO/88lUBd6YS8fUSVQGra1z38S5VAeMsqv3pTlUCFvH1A+VqVQJKt0MF3YpVAn54jQ/ZplUCtj3bEdHGVQLqAyUXzeJVAx3Ecx3GAlUDUYm9I8IeVQOFTwsluj5VA70QVS+2WlUD8NWjMa56VQAknu03qpZVAFhgOz2itlUAkCWFQ57SVQDH6s9FlvJVAPusGU+TDlUBL3FnUYsuVQFnNrFXh0pVAZr7/1l/alUBzr1JY3uGVQICgpdlc6ZVAjpH4WtvwlUCbgkvcWfiVQKhznl3Y/5VAtWTx3lYHlkDDVURg1Q6WQNBGl+FTFpZA3TfqYtIdlkDqKD3kUCWWQPgZkGXPLJZABQvj5k00lkAS/DVozDuWQB/tiOlKQ5ZALN7baslKlkA6zy7sR1KWQEfAgW3GWZZAVLHU7kRhlkBhoidww2iWQG+TevFBcJZAfITNcsB3lkCJdSD0Pn+WQJZmc3W9hpZApFfG9juOlkCxSBl4upWWQL45bPk4nZZAyyq/ereklkDZGxL8NayWQOYMZX20s5ZA8/23/jK7lkAA7wqAscKWQA7gXQEwypZAG9Gwgq7RlkAowgMELdmWQDWzVoWr4JZAQ6SpBirolkBQlfyHqO+WQF2GTwkn95ZAaneiiqX+lkB3aPULJAaXQIVZSI2iDZdAkkqbDiEVl0CfO+6PnxyXQKwsQREeJJdAuh2Ukpwrl0DHDucTGzOXQNT/OZWZOpdA4fCMFhhCl0Dv4d+XlkmXQPzSMhkVUZdACcSFmpNYl0AWtdgbEmCXQCSmK52QZ5dAMZd+Hg9vl0A+iNGfjXaXQEt5JCEMfpdAWWp3ooqFl0BmW8ojCY2XQHNMHaWHlJdAgD1wJgacl0COLsOnhKOXQJsfFikDq5dAqBBpqoGyl0C1AbwrALqXQMLyDq1+wZdA0ONhLv3Il0Dd1LSve9CXQOrFBzH615dA97Zasnjfl0AFqK0z9+aXQBKZALV17pdAH4pTNvT1l0Ase6a3cv2XQDps+TjxBJhAR11Mum8MmEBUTp877hOYQGE/8rxsG5hAbzBFPusimEB8IZi/aSqYQIkS60DoMZhAlgM+wmY5mECk9JBD5UCYQLHl48RjSJhAvtY2RuJPmEDLx4nHYFeYQNm43EjfXphA5qkvyl1mmEDzmoJL3G2YQACM1cxadZhADX0oTtl8mEAbbnvPV4SYQChfzlDWi5hANVAh0lSTmEBCQXRT05qYQFAyx9RRophAXSMaVtCpmEBqFG3XTrGYQHcFwFjNuJhAhfYS2kvAmECS52VbyseYQJ/YuNxIz5hArMkLXsfWmEC6ul7fRd6YQMersWDE5ZhA1JwE4kLtmEDhjVdjwfSYQO9+quQ//JhA/G/9Zb4DmUAJYVDnPAuZQBZSo2i7EplAJEP26TkamUAxNElruCGZQD4lnOw2KZlASxbvbbUwmUBZB0LvMziZQGb4lHCyP5lAc+nn8TBHmUCA2jpzr06ZQI3LjfQtVplAm7zgdaxdmUCorTP3KmWZQLWehnipbJlAwo/Z+Sd0mUDQgCx7pnuZQN1xf/wkg5lA6mLSfaOKmUD3UyX/IZKZQAVFeICgmZlAEjbLAR+hmUAfJx6DnaiZQCwYcQQcsJlAOgnEhZq3mUBH+hYHGb+ZQFTraYiXxplAYdy8CRbOmUBvzQ+LlNWZQHy+YgwT3ZlAia+1jZHkmUCWoAgPEOyZQKSRW5CO85lAsYKuEQ37mUC+c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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]}},\"selected\":{\"id\":\"3499\"},\"selection_policy\":{\"id\":\"3498\"}},\"id\":\"3477\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"label\":{\"value\":\"LUNC Pool\"},\"renderers\":[{\"id\":\"5694\"}]},\"id\":\"5706\",\"type\":\"LegendItem\"},{\"attributes\":{\"source\":{\"id\":\"5669\"}},\"id\":\"5695\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"3584\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"3429\",\"type\":\"Selection\"},{\"attributes\":{\"source\":{\"id\":\"3433\"}},\"id\":\"3438\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"3428\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"line_alpha\":0.6,\"line_color\":\"navy\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"3434\",\"type\":\"Line\"},{\"attributes\":{\"callback\":null,\"names\":[\"-6355648301188024247\"],\"tooltips\":[[\"LUNC\",\"1000.000\"],[\"SDTC\",\"2000.000\"],[\"Mid Price\",\"0.500\"]]},\"id\":\"3431\",\"type\":\"HoverTool\"},{\"attributes\":{\"line_alpha\":0.2,\"line_color\":\"navy\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"3480\",\"type\":\"Line\"},{\"attributes\":{\"line_alpha\":0.6,\"line_color\":\"navy\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"3530\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"3499\",\"type\":\"Selection\"},{\"attributes\":{\"factors\":[\"b0\",\"b1\",\"b2\",\"b3\",\"b4\",\"b5\",\"b6\",\"b7\",\"b8\",\"b9\",\"b10\",\"b11\",\"b12\",\"b13\",\"b14\",\"b15\",\"b16\",\"b17\",\"b18\",\"b19\"]},\"id\":\"5638\",\"type\":\"FactorRange\"},{\"attributes\":{\"coordinates\":null,\"data_source\":{\"id\":\"3433\"},\"glyph\":{\"id\":\"3434\"},\"group\":null,\"hover_glyph\":null,\"muted_glyph\":{\"id\":\"3436\"},\"nonselection_glyph\":{\"id\":\"3435\"},\"view\":{\"id\":\"3438\"}},\"id\":\"3437\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.2},\"fill_color\":{\"value\":\"red\"},\"hatch_alpha\":{\"value\":0.2},\"hatch_color\":{\"value\":\"red\"},\"line_alpha\":{\"value\":0.2},\"line_color\":{\"value\":\"red\"},\"size\":{\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"3504\",\"type\":\"Circle\"},{\"attributes\":{\"source\":{\"id\":\"3453\"}},\"id\":\"3458\",\"type\":\"CDSView\"},{\"attributes\":{\"callback\":null,\"names\":[\"7659467239063901349\"],\"tooltips\":[[\"LUNC\",\"1283.333\"],[\"SDTC\",\"1558.442\"],[\"Mid Price\",\"0.823\"]]},\"id\":\"3527\",\"type\":\"HoverTool\"},{\"attributes\":{\"line_alpha\":0.2,\"line_color\":\"navy\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"3436\",\"type\":\"Line\"},{\"attributes\":{\"line_alpha\":0.1,\"line_color\":\"navy\",\"line_width\":2,\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"3435\",\"type\":\"Line\"},{\"attributes\":{\"data\":{\"x\":[1300.0],\"y\":[1538.4615384615386]},\"selected\":{\"id\":\"3473\"},\"selection_policy\":{\"id\":\"3472\"}},\"id\":\"3453\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"coordinates\":null,\"data_source\":{\"id\":\"3501\"},\"glyph\":{\"id\":\"3502\"},\"group\":null,\"hover_glyph\":null,\"muted_glyph\":{\"id\":\"3504\"},\"name\":\"7659467239063901349\",\"nonselection_glyph\":{\"id\":\"3503\"},\"view\":{\"id\":\"3506\"}},\"id\":\"3505\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"3524\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"3472\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"3473\",\"type\":\"Selection\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"red\"},\"hatch_alpha\":{\"value\":0.1},\"hatch_color\":{\"value\":\"red\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"red\"},\"size\":{\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"3455\",\"type\":\"Circle\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"red\"},\"hatch_alpha\":{\"value\":0.1},\"hatch_color\":{\"value\":\"red\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"red\"},\"size\":{\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"3503\",\"type\":\"Circle\"},{\"attributes\":{\"callback\":null,\"names\":[\"-6152167549707193843\"],\"tooltips\":[[\"LUNC\",\"1300.000\"],[\"SDTC\",\"1538.462\"],[\"Mid Price\",\"0.845\"]]},\"id\":\"3475\",\"type\":\"HoverTool\"},{\"attributes\":{\"coordinates\":null,\"data_source\":{\"id\":\"3453\"},\"glyph\":{\"id\":\"3454\"},\"group\":null,\"hover_glyph\":null,\"muted_glyph\":{\"id\":\"3456\"},\"name\":\"-6152167549707193843\",\"nonselection_glyph\":{\"id\":\"3455\"},\"view\":{\"id\":\"3458\"}},\"id\":\"3457\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.2},\"fill_color\":{\"value\":\"red\"},\"hatch_alpha\":{\"value\":0.2},\"hatch_color\":{\"value\":\"red\"},\"line_alpha\":{\"value\":0.2},\"line_color\":{\"value\":\"red\"},\"size\":{\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"3456\",\"type\":\"Circle\"},{\"attributes\":{\"source\":{\"id\":\"3501\"}},\"id\":\"3506\",\"type\":\"CDSView\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.4},\"fill_color\":{\"value\":\"red\"},\"hatch_alpha\":{\"value\":0.4},\"hatch_color\":{\"value\":\"red\"},\"line_alpha\":{\"value\":0.4},\"line_color\":{\"value\":\"red\"},\"size\":{\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"3454\",\"type\":\"Circle\"},{\"attributes\":{},\"id\":\"3498\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"data\":{\"x\":[1283.3333333333333],\"y\":[1558.4415584415585]},\"selected\":{\"id\":\"3525\"},\"selection_policy\":{\"id\":\"3524\"}},\"id\":\"3501\",\"type\":\"ColumnDataSource\"}],\"root_ids\":[\"5707\"]},\"title\":\"Bokeh Application\",\"version\":\"2.4.3\"}};\n",
       "  const render_items = [{\"docid\":\"3b08f05a-e367-4020-8aaf-46fb5fc45270\",\"root_ids\":[\"5707\"],\"roots\":{\"5707\":\"c981da24-6046-4af2-b656-761202d6ff1e\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    let attempts = 0;\n",
       "    const timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "5707"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from cpy_amm.market import Pool, MarketQuote, MarketPair, TradeOrder\n",
    "from cpy_amm.swap import constant_product_swap\n",
    "from cpy_amm.plotting import new_pool_figure, new_constant_product_figure\n",
    "\n",
    "# retrieve the base pool state variable from Columbus-5 \n",
    "base_pool = 1000\n",
    "# retrieve the terra pool delta state variable from Columbus-5 \n",
    "terra_pool_delta = 0\n",
    "# LUNC/SDR = 0.5 SDR\n",
    "lunc_sdr = MarketQuote(\"LUNC/SDR\", 0.5)\n",
    "# liquidity pool made up of reserves SDT\n",
    "terra_pool = Pool(\"SDTC\", (base_pool+terra_pool_delta))\n",
    "# liquidity pool made up of reserves of LUNC\n",
    "lunc_pool = Pool(\"LUNC\", base_pool**2/terra_pool.balance/lunc_sdr.price)\n",
    "# create a market for SDTC/LUNC\n",
    "mkt = MarketPair(terra_pool, lunc_pool, 0, lunc_sdr.price)\n",
    "# constant product curve\n",
    "cp_figure = new_constant_product_figure(mkt, x_max=2000)\n",
    "# swap 300 SDTC for LUNC\n",
    "trade_order = TradeOrder(\"SDTC/LUNC\", 300, mkt.swap_fee)\n",
    "# swap 300 sdtc_in for dy LUNC tokens\n",
    "constant_product_swap(mkt, trade_order)\n",
    "# constant product fiat vs tokens\n",
    "cp_figure = new_constant_product_figure(mkt, bokeh_figure=cp_figure, x_max=2000)\n",
    "# update terra pool delta\n",
    "terra_pool_delta = terra_pool.balance-terra_pool.initial_deposit\n",
    "# get pool recovery period\n",
    "pool_recovery_period = terra.market.parameters()[\"pool_recovery_period\"]\n",
    "# replenish amount per 1 block\n",
    "replenish_amount = terra_pool_delta / pool_recovery_period\n",
    "# simulate Replenish Pools at the end of each blocks during the pool recovery period (currently 18 blocks)\n",
    "for block in range(1, pool_recovery_period+1):\n",
    "    # replenish amount per 1 block\n",
    "    terra_pool_delta -= replenish_amount\n",
    "    # liquidity pool made up of reserves SDT\n",
    "    terra_pool.reserves.append(base_pool+terra_pool_delta)\n",
    "    # liquidity pool made up of reserves of LUNC\n",
    "    lunc_pool.reserves.append(base_pool**2/terra_pool.balance/lunc_sdr.price)\n",
    "    # constant product \n",
    "    cp_figure = new_constant_product_figure(mkt, bokeh_figure=cp_figure, x_max=2000)\n",
    "# display pools after replenish pools (18 blocks)\n",
    "pool_figure = new_pool_figure(terra_pool, lunc_pool, steps=[f\"b{i}\" for i in range(0,len(lunc_pool.reserves))])\n",
    "show(grid([[cp_figure], [pool_figure]], sizing_mode=\"stretch_both\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fbd279a4",
   "metadata": {},
   "source": [
    "#### Replenish pool by minting tokens and swapping against the pool\n",
    "\n",
    "Same thing as above, except that in this case, we use the ~462 LUNC to swap against the pool. It gives the same result: **Replenish Pool swaps against the pool using tokens it has created, it changes the total supply**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "eb64fb14",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"AAAAAACI00BRiwcFrirTQKbgunfH0NJAdNFFFx160kAw6Av6gibSQB+fZEPQ1dFAtuPy4N6H0UALHLNOizzRQOoa+WC089BAFDuxEzut0EDt8E1eAmnQQLwX3gvvJtBAbiKxLc/Nz0DUxG8QqFHPQONLGbM72c5A13Jws19kzkDQbhQo7PLNQH+VBnO7hM1Atr4NGKoZzUCWlpaWlrHMQG/BukZhTMxAYg8iOezpy0CiOXkZG4rLQDDkQBPTLMtASAW+uPrRykBbfNrreXnKQCClycg5I8pAkiRJkiTPyUBwIFqfJX3JQKSUUkopLclAK5sp4RzfyECkReSW7pLIQLYmC3aNSMhAnOQSVOn/x0CwLqTF8rjHQBQ7sRObc8dAYI5IMdQvx0DIQhaykO3GQGhShsHDrMZAEpZ7GmFtxkA3OpD/XC/GQJ9h1TOs8sVAL4wI9EO3xUDVITbwGX3FQIA4wUUkRMVABVLJeVkMxUDTZedzsNXEQHsTPHkgoMRAA1jJJ6FrxEDokRJyKjjEQJ8H/pq0BcRAIIPzMTjUw0Dn6zMPrqPDQP4XZlAPdMNAVVVVVVVFw0A3b968eRfDQKQwCGJ26sJAZ5xEWUW+wkAoR9jt4JLCQBlvZZ9DaMJAPZiYH2g+wkCXnPRPSRXCQDREvD/i7MFAR5v3KS7FwUDiW5NzKJ7BQNrdmKnMd8FAPxp9fxZSwUCQaIXNAS3BQMmyQI+KCMFAtPIT4qzkwEB63tgDZcHAQNe8jVGvnsBAGWoVRoh8wEDzpgZ57FrAQJ7YiZ3YOcBAhm9EgUkZwEBabKIWePK/QJGriXZas79AMNJ7UDR1v0AAAAAAADi/QDQAMgy4+75ATK4gJlfAvkBL+T4n2IW+QBqP5g82TL5Ag0jrBWwTvkBlez5Tddu9QM1loWRNpL1Aye9lyO9tvUCEDT0tWDi9QPAUEmGCA71AXGTyT2rPvEAxwAADDJy8QJ/Wc59jabxAE2CfZW03vECKWgewJQa8QFjlfPKI1btA6UhEuZOlu0D8vEOoQna7QPeEOnqSR7tAAAAAAIAZu0BOT8ofCOy6QEA6fNQnv7pAV/z5LNySukA0rYRLIme6QGX3G2X3O7pA79XlwFgRukC7FJy3Q+e5QBVT/7K1vblAw0pPLayUuUBcIciwJGy5QDmMJNccRLlASpIkSZIcuUBYuRi+gvW4QChvcfvrzrhAm4BS1MuouEDHcyopIIO4QHSbTefmXbhAyLyUCB45uECTIf+SwxS4QG/zV5jV8LdAuL3eNVLNt0CY9fKTN6q3QG1pwuWDh7dAjnn6aDVlt0B5/ntlSkO3QC3BES3BIbdA+GspG5gAt0AX246Uzd+2QIm1KQdgv7ZApze96U2ftkDTGaq7lX+2QNR+sgQ2YLZA9NW/VC1BtkBHnqpDeiK2QMf4A3EbBLZAPvjggw/mtUBCnqcqVci1QI513RrrqrVAb7r3ENCNtUDQAi3QAnG1QOBXSCKCVLVA/rN910w4tUAd2D/GYRy1QExsF8u/ALVAnV97yGXltEAdfKqmUsq0QPYjhlOFr7RAXi1uwvyUtEBD0x3st3q0QCGxic61YLRAwMC+bPVGtEACUcLOdS20QDvtcgE2FLRA1CxqFjX7s0B3Y98jcuKzQBAqi0TsybNAdrmLl6Kxs0CwD0pAlJmzQBnZX2bAgbNA7RZ+NSZqs0D9fFTdxFKzQJGAeZGbO7NAphJTiakks0AAAAAA7g2zQLHxQTRo97JA6whoaBfhskAjETri+sqyQL5D5OoRtbJAppjjzlufskBRn/Ld14myQPvb9mqFdLJA4aTuy2NfskCHe99ZckqyQDLexHCwNbJA1I1/bx0hskDqRMW3uAyyQMDbEK6B+LFAzdaSuXfksUD6WyJEmtCxQKOLLrrovLFAZTqwimKpsUDFCBwnB5axQObVVAPWgrFApIqelc5vsUBgOpFW8FyxQBWXDME6SrFAIrYrUq03sUCLIzmJRyWxQFxBo+cIE7FA8fDw8PAAsUAVhLYq/+6wQNXzihwz3bBAEFv9T4zLsEDcsopQCrqwQNLOk6usqLBAg5dT8HKXsEBGgdWvXIawQMI97HxpdbBAeaYo7JhksEDM3tCT6lOwQO6r1wteQ7BARwHU7fIysEDNv/jUqCKwQAOnDF5/ErBAJ3ZiJ3YCsEC6eKKhGeWvQPGsWfeFxa9AczJ9lTCmr0CQTXzEGIevQHbclM89aK9AQqjFBJ9Jr0C6BcG0OyuvQLTD3zITDa9AD2UU1STvrkBEpN7zb9GuQKQ+P+rzs65AawWsFbCWrkDIMgTWo3muQCYBhY3OXK5A+oK+oC9ArkB2uYh2xiOuQHXo+HeSB65AISZXEJPrrUDEJBStx8+tQFc1v70vtK1AT4H8s8qYrUBSensDmH2tQHV+7SGXYq1Awq/8hsdHrUCc/UKsKC2tQO9eQQ26Eq1A3TtXJ3v4rEDHBbp5a96sQIP8bIWKxKxAvB85zdeqrEBXS6XVUpGsQMl97iT7d6xAeEcAQ9BerEARYm250UWsQOduaBP/LKxAZNu83VcUrEC06sem2/urQLvjcf6J46tAd2IndmLLq0D8y9KgZLOrQErk1RKQm6tAFIUDYuSDq0DCdJklYWyrQPhcOvYFVatA1N/nbdI9q0A7y/wnxiarQHVpJ8HgD6tAe+5j1yH5qkBTAfcJieKqQLFgaPkVzKpAb6J9R8i1qkAkDTWXn5+qQEaLwIybiapAQLeAzbtzqkAAAAAAAF6qQFvl7ctnSKpAzEsa2vIyqkDy5nDUoB2qQH669GVxCKpA17C7OmTzqUAcR+r/eN6pQAhOr2OvyalAPb8/FQe1qUCFptLEf6CpQJYenSMZjKlA/GDO49J3qUCv6Iu4rGOpQOqm7VWmT6lA/0n6cL87qUCPlaO/9yepQAPMwvhOFKlAuSgV1MQAqUCeajgKWe2oQOdup1QL2qhAbdu2bdvGqECL2JEQybOoQPPZNvnToKhAZXZ05PuNqEC8TeaPQHuoQDP98bmhaKhAhyHEIR9WqEChZk2HuEOoQJakP6ttMahAnQkLTz4fqEDdUNs0Kg2oQJ8FlR8x+6dA09LS0lLpp0B+3uISj9enQPgwxKTlxadAqCckTla0p0D58lvV4KKnQHcfbgGFkadAoCkEmkKAp0BxHGxnGW+nQEA6ljIJXqdA3a8SxRFNp0CgUQ/pMjynQE5iVWlsK6dAlWNHEb4ap0Dx796sJwqnQM6dqgip+aZAtevL8UHppkBcNfU18timQGGxZ6O5yKZAnnfxCJi4pkDHj+s1jaimQE0IOPqYmKZAShVAJruIpkBIN/KK83imQNtpwPlBaaZAu1meRKZZpkBrov89IEqmQBoT1rivOqZAxPqPiFQrpkBKexaBDhymQIHjy3bdDKZABBCKPsH9pUCk0qCtue6lQG5g1JnG36VACcZb2efQpUBrYt9CHcKlQKxnd61ms6VA+GGq8MOkpUBixGvkNJalQJZ7GmG5h6VASoZ/P1F5pUBAk8xY/GqlQOCkmoa6XKVALrroootOpUAgfRqIb0ClQCD29hBmMqVAwkSnGG8kpUBzXbV6ihalQCfMChO4CKVA33vvvff6pED4gghYSe2kQCj0Vr6s36RAF7Q2ziHSpECEU11lqMSkQNLt2GFAt6RA/wsPoumppEDai7sEpJykQHeL72hvj6RAzVgQrkuCpEBTZdazOHWkQLc9TFo2aKRAaIXNgURbpEAT9gULY06kQN1i8NaRQaRAYb/VxtA0pEBRKky8HyikQLb7NZl+G6RAwNbAP+0OpED9vmSSawKkQBsx43P59aNA5j5Gx5bpo0Cvrt9vQ92jQOcdSFH/0KNA6CZeT8rEo0DyiUVOpLijQC9ZZjKNrKNAySds4ISgo0D8O0U9i5SjQBjEIS6giKNAYg5zmMN8o0DWw+ph9XCjQKolenA1ZaNAl01RqoNZo0DWcN71302jQL8lzTlKQqNADqwFXcI2o0C1N6xGSCujQDo+IN7bH6NAjMb7Cn0Uo0BRuxK1KwmjQJs/csTn/aJA9wVgIbHyokDfqVm0h+eiQGILFGZr3KJAI616H1zRokCCFK/JWcaiQP4rCE5ku6JAuacRlnuwokAbbIuLn6WiQIv2aBjQmqJAMsjQJg2QokDO0huhVoWiQGzn1HGseqJAMSe4gw5wokD4dbLBfGWiQOfu4Bb3WqJA1FqQbn1QokCNqDy0D0aiQN5mkNOtO6JAc0BkuFcxokBoeb5ODSeiQJ9u0oLOHKJAxBYAQZsSokD4hNN1cwiiQDBtBA5X/qFAI6p19kX0oUDbxDQcQOqhQNV9eWxF4KFArFel1FXWoUBSI0NCccyhQLyNBqOXwqFAFq/L5Mi4oUBkm5b1BK+hQJn0ksNLpaFADX4TPZ2boUBksZFQ+ZGhQMxUrexfiKFAmBIsANF+oUAvEvl5THWhQEmSJEnSa6FAfoTjXGJioUANKo+k/FihQPSxpA+hT6FAOdjEjU9GoUBvhrMOCD2hQGx1V4LKM6FAMtC52JYqoUD+1wUCbSGhQH2JiO5MGKFAJkOwjjYPoUCqbAzTKQahQIofTawm/aBAtNBCCy30oEA6+93gPOugQBXMLh5W4qBA7M5ktHjZoEDsm86UpNCgQJSG2bDZx6BAiU0R+he/oEBgyx9iX7agQGOozNqvraBARA39VQmloEDFVrPFa5ygQEfKDhzXk6BAS0tLS0uLoEDSEcFFyIKgQJxh5P1NeqBAWUJFZtxxoECbOI9xc2mgQLv/iBITYaBAhkQUPLtYoEDAYC3ha1CgQHkX6/QkSKBAMFJ+auY/oEDB3jE1sDegQBUuakiCL6BAohOll1wnoECihXkWPx+gQBRel7gpF6BAchzHcRwPoEAnqOk1FwegQHYn8PEz/p9AZcEGXknun0BQiGiYbt6fQBjYlYmjzp9AO4o9Gui+n0ANgzwzPK+fQFBAnb2fn59AD2mXohKQn0DOXo/LlICfQP7PFSImcZ9AqEvnj8Zhn0Bk1uv+dVKfQHyANlk0Q59AUP0EiQE0n0DcO7943SSfQHwA9xLIFZ9Axn9nQsEGn0CX+vTxyPeeQEBbrAzf6J5AwNPCfQPankAzfZUwNsueQDb4qBB3vJ5Afg6pCcatnkBgVWgHI5+eQHvR3/WNkJ5AXZsuwQaCnkAmhZlVjXOeQETBip8hZZ5AE4qRi8NWnkCCymEGc0ieQK7H0/wvOp5Ac8vjW/ornkDkz7EQ0h2eQMIrgQi3D55AyD+4MKkBnkDxJOB2qPOdQJdbpMi05Z1Ae3vSE87XnUCk5FlG9MmdQB1xS04nvJ1AlCfZGWeunUDB7lWXs6CdQKxBNbUMk51AxOQKYnKFnUC3m4qM5HedQCnghyNjap1AI5n1Fe5cnUBZ0+VShU+dQCB6ickoQp1APxEwadg0nUBob0chlCedQH55W+FbGp1Ajt4VmS8NnUB71D04DwCdQHfVt6768pxADl6F7PHlnEAGrMTh9NicQNF9sH4DzJxAvdKfsx2/nEDNqwVxQ7KcQDfNcKd0pZxAiICLR7GYnEB1VxtC+YucQEvvAIhMf5xA+rQ3CqtynEDJqdW5FGacQKIoC4iJWZxA96siZglNnEBFlIBFlECcQDHvohcqNJxALD8hzsonnEDDQ6xadhucQG3CDa8sD5xA7k8ove0CnEBTGvd2ufabQGezjc6P6ptAztsXtnDem0CNTtkfXNKbQDaNLf5RxptAgqyHQ1K6m0CCIXLiXK6bQEOPjs1xoptACpWV95CWm0D2nFZTuoqbQDqrt9PtfptAuC21aytzm0A5zGEOc2ebQAg55q7EW5tABAKBQCBQm0BAYoa2hUSbQAAUYAT1OJtAPSONHW4tm0CMwKH18CGbQIwUR4B9FptAsRM7sRMLm0CKUlB8s/+aQG3abdVc9JpAnP6OsA/pmkDLMcMBzN2aQBDcLb2R0ppARzEG12DHmkDTB5dDObyaQM6vPvcasZpAkspu5gWmmkC7IqwF+pqaQHuEjkn3j5pAUJbApv2EmkAwsv8RDXqaQPi+G4Alb5pAUwr35UZkmkDrIoY4cVmaQAezz2ykTppAflvsd+BDmkAAjwZPJTmaQMBtWudyLppAeKE1NskjmkC+OfcwKBmaQLCID82PDppAAAAAAAAEmkBKDlu/ePmZQMX8wwD67plAPM3uuYPkmUBsGKDgFdqZQKPsrGqwz5lAsqz6TVPFmUA6736A/rqZQDVeP/ixsJlA4JZRq22mmUDfCduPMZyZQL/bEJz9kZlAt8U3xtGHmUC49qMErn2ZQMX0uE2Sc5lAmH7pl35pmUCHbbfZcl+ZQLeXswlvVZlAl7J9HnNLmUCZNcQOf0GZQDY9RNGSN5lAMW7JXK4tmUAp2S2o0SOZQF7eWar8GZlAwhFEWi8QmUBLH/GuaQaZQISvc5+r/JhAW0zsIvXymEAxRokwRumYQC6Zhr+e35hAydItx/7VmECV99U+ZsyYQEJp4x3VwphA6MzHW0u5mECC8QHwyK+YQKC2HdJNpphAaPOz+dmcmEC1XWpebZOYQIlx8/cHiphAnFgOvqmAmEBB0oaoUneYQG0bNa8CbphA9Nb9yblkmEAO9tHwd1uYQPygrhs9UphA9x+dQglJmEA6xLJd3D+YQFzREGW2NphAyGbkUJctmEBxaWYZfySYQLdt27ZtG5hAfaGTIWMSmEBxtupRXwmYQIPMR0BiAJhAkVwd5Wv3l0A5I+k4fO6XQOoLNDST5ZdADxySz7Dcl0B9XqID1dOXQAPPDsn/ypdAI0aMGDHCl0AMZdrqaLmXQKaBwzinsJdA45Ic++unl0AiHcUqN5+XQNoep8CIlpdAVv22teCNl0CpcfMCP4WXQMt1ZaGjfJdA2TEgig50l0CI6UC2f2uXQLLp7h73YpdAHnZbvXRal0Bet8GK+FGXQOOoZoCCSZdAJweZlxJBl0ATPrHJqDiXQH5XERBFMJdAyekkZOcnl0C7BmG/jx+XQGoqRBs+F5dAUSpWcfIOl0COJCi7rAaXQD9vVPJs/pZABoh+EDP2lkCrA1MP/+2WQOp9h+jQ5ZZAXYnalajdlkCJnxMRhtWWQAkRA1RpzZZA6/WBWFLFlkAYHnIYQb2WQPABvo01tZZA9rJYsi+tlkCszD2AL6WWQIhlcfE0nZZAAAAAAECVlkDLe/6lUI2WQCoHit1mhZZAYRDIoIJ9lkBBN+bpo3WWQN0+GrPKbZZAV/+h9vZllkDEV8OuKF6WQD0gzNVfVpZA/BsSZpxOlkCn6/JZ3kaWQKP/06slP5ZAmooiVnI3lkAOdFNTxC+WQApL450bKJZA8DhWMHgglkBn9DcF2hiWQF20GxdBEZZAIiOcYK0JlkCqUVvcHgKWQNuqAoWV+pVAAOdCVRHzlUBI/9NHkuuVQHEhdVcY5JVAf6PsfqPclUCN9we5M9WVQL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kkV2yt3lA75J8E+vVeUCxAWjJI/R5QHRwU39cEnpANt8+NZUwekD4TSrrzU56QLq8FaEGbXpAfCsBVz+LekA+muwMeKl6QAAJ2MKwx3pAw3fDeOnlekCF5q4uIgR7QEdVmuRaIntACcSFmpNAe0DLMnFQzF57QI2hXAYFfXtAUBBIvD2be0ASfzNydrl7QNTtHiiv13tAllwK3uf1e0BYy/WTIBR8QBo64UlZMnxA3KjM/5FQfECfF7i1ym58QGGGo2sDjXxAI/WOITyrfEDlY3rXdMl8QKfSZY2t53xAaUFRQ+YFfUArsDz5HiR9QO4eKK9XQn1AsI0TZZBgfUBy/P4ayX59QDRr6tABnX1A9tnVhjq7fUC4SME8c9l9QHu3rPKr931APSaYqOQVfkD/lINeHTR+QMEDbxRWUn5Ag3Jayo5wfkBF4UWAx45+QAdQMTYArX5Ayr4c7DjLfkCMLQiicel+QE6c81eqB39AEAvfDeMlf0DSecrDG0R/QJTotXlUYn9AV1ehL42Af0AZxozlxZ5/QNs0eJv+vH9AnaNjUTfbf0BfEk8HcPl/QJBAnV7UC4BA8veSufAagEBTr4gUDSqAQLRmfm8pOYBAFR50ykVIgEB21WklYleAQNeMX4B+ZoBAOERV25p1gECa+0o2t4SAQPqyQJHTk4BAXGo27O+igEC8ISxHDLKAQB7ZIaIowYBAfpAX/UTQgEDgRw1YYd+AQEH/ArN97oBAorb4DZr9gEADbu5otgyBQGQl5MPSG4FAxdzZHu8qgUAmlM95CzqBQIdLxdQnSYFA6AK7L0RYgUBKurCKYGeBQKpxpuV8doFADCmcQJmFgUBs4JGbtZSBQM6Xh/bRo4FAL099Ue6ygUCQBnOsCsKBQPG9aAcn0YFAUnVeYkPggUCzLFS9X++BQBTkSRh8/oFAdZs/c5gNgkDWUjXOtByCQDgKKynRK4JAmMEghO06gkD6eBbfCUqCQFowDDomWYJAvOcBlUJogkAdn/fvXneCQH5W7Up7hoJA3w3jpZeVgkBAxdgAtKSCQKF8zlvQs4JAAjTEtuzCgkBj67kRCdKCQMSir2wl4YJAJlqlx0HwgkCGEZsiXv+CQOjIkH16DoNASICG2JYdg0CqN3wzsyyDQAvvcY7PO4NAbKZn6etKg0DNXV1ECFqDQC4VU58kaYNAj8xI+kB4g0Dwgz5VXYeDQFI7NLB5loNAsvIpC5alg0AUqh9msrSDQHRhFcHOw4NA1hgLHOvSg0A20AB3B+KDQJiH9tEj8YNA+D7sLEAAhEBa9uGHXA+EQLqt1+J4HoRAHGXNPZUthEB+HMOYsTyEQN7TuPPNS4RAQIuuTupahECgQqSpBmqEQAL6mQQjeYRAYrGPXz+IhEDEaIW6W5eEQCQgexV4poRAhtdwcJS1hEDmjmbLsMSEQEhGXCbN04RAqP1RgenihEAKtUfcBfKEQGxsPTciAYVAzCMzkj4QhUAu2yjtWh+FQI6SHkh3LoVA8EkUo5M9hUBQAQr+r0yFQLK4/1jMW4VAEnD1s+hqhUB0J+sOBXqFQNTe4GkhiYVANpbWxD2YhUCWTcwfWqeFQPgEwnp2toVAWry31ZLFhUC6c60wr9SFQBwro4vL44VAfOKY5ufyhUDemY5BBAKGQD5RhJwgEYZAoAh69zwghkAAwG9SWS+GQGJ3Za11PoZAwi5bCJJNhkAk5lBjrlyGQISdRr7Ka4ZA5lQ8Ged6hkBIDDJ0A4qGQKjDJ88fmYZACnsdKjyohkBqMhOFWLeGQMzpCOB0xoZALKH+OpHVhkCOWPSVreSGQO4P6vDJ84ZAUMffS+YCh0CwftWmAhKHQBI2ywEfIYdAcu3AXDswh0DUpLa3Vz+HQDZcrBJ0TodAlhOibZBdh0D4ypfIrGyHQFiCjSPJe4dAujmDfuWKh0Aa8XjZAZqHQHyobjQeqYdA3F9kjzq4h0A+F1rqVseHQJ7OT0Vz1odAAIZFoI/lh0BgPTv7q/SHQML0MFbIA4hAJKwmseQSiECEYxwMASKIQOYaEmcdMYhARtIHwjlAiECoif0cVk+IQAhB83dyXohAavjo0o5tiEDKr94tq3yIQCxn1IjHi4hAjB7K4+OaiEDu1b8+AKqIQE6NtZkcuYhAsESr9DjIiEAQ/KBPVdeIQHKzlqpx5ohA1GqMBY71iEA0IoJgqgSJQJbZd7vGE4lA9pBtFuMiiUBYSGNx/zGJQLj/WMwbQYlAGrdOJzhQiUB6bkSCVF+JQNwlOt1wbolAPN0vOI19iUCelCWTqYyJQP5LG+7Fm4lAYAMRSeKqiUDCugak/rmJQCJy/P4ayYlAhCnyWTfYiUDk4Oe0U+eJQEaY3Q9w9olApk/TaowFikAIB8nFqBSKQGi+viDFI4pAynW0e+EyikAqLarW/UGKQIzknzEaUYpA7JuVjDZgikBOU4vnUm+KQLAKgUJvfopAEMJ2nYuNikByeWz4p5yKQNIwYlPEq4pANOhXruC6ikCUn00J/cmKQPZWQ2QZ2YpAVg45vzXoikC4xS4aUveKQBh9JHVuBotAejQa0IoVi0Da6w8rpySLQDyjBYbDM4tAnlr74N9Ci0D+EfE7/FGLQGDJ5pYYYYtAwIDc8TRwi0AiONJMUX+LQILvx6dtjotA5Ka9Aoqdi0BEXrNdpqyLQKYVqbjCu4tABs2eE9/Ki0BohJRu+9mLQMg7iskX6YtAKvN/JDT4i0CMqnV/UAeMQOxha9psFoxAThlhNYkljECu0FaQpTSMQBCITOvBQ4xAcD9CRt5SjEDS9jeh+mGMQDKuLfwWcYxAlGUjVzOAjED0HBmyT4+MQFbUDg1snoxAtosEaIitjEAYQ/rCpLyMQHr67x3By4xA2rHleN3ajEA8advT+emMQJwg0S4W+YxA/tfGiTIIjUBej7zkTheNQMBGsj9rJo1AIP6nmoc1jUCCtZ31o0SNQOJsk1DAU41ARCSJq9xijUCk234G+XGNQAaTdGEVgY1AaEpqvDGQjUDIAWAXTp+NQCq5VXJqro1AinBLzYa9jUDsJ0Eoo8yNQEzfNoO/241ArpYs3tvqjUAOTiI5+PmNQHAFGJQUCY5A0LwN7zAYjkAydANKTSeOQJIr+aRpNo5A9OLu/4VFjkBWmuRaolSOQLZR2rW+Y45AGAnQENtyjkB4wMVr94GOQNp3u8YTkY5AOi+xITCgjkCc5qZ8TK+OQPydnNdovo5AXlWSMoXNjkC+DIiNodyOQCDEfei9645AgHtzQ9r6jkDiMmme9gmPQETqXvkSGY9ApKFUVC8oj0AGWUqvSzePQGYQQApoRo9AyMc1ZYRVj0AofyvAoGSPQIo2IRu9c49A6u0WdtmCj0BMpQzR9ZGPQKxcAiwSoY9ADhT4hi6wj0Buy+3hSr+PQNCC4zxnzo9AMjrZl4Pdj0CS8c7yn+yPQPSoxE28+49AKjBdVGwFkEDbC9iB+gyQQIvnUq+IFJBAPMPN3BYckEDsnkgKpSOQQJ16wzczK5BATVY+ZcEykED+MbmSTzqQQK4NNMDdQZBAX+mu7WtJkEAQxSkb+lCQQMCgpEiIWJBAcXwfdhZgkEAhWJqjpGeQQNIzFdEyb5BAgg+Q/sB2kEAz6wosT36QQOPGhVndhZBAlKIAh2uNkEBEfnu0+ZSQQPVZ9uGHnJBApTVxDxakkEBWEew8pKuQQAftZmoys5BAt8jhl8C6kEBopFzFTsKQQBiA1/LcyZBAyVtSIGvRkEB5N81N+diQQCoTSHuH4JBA2u7CqBXokECLyj3Wo++QQDumuAMy95BA7IEzMcD+kECcXa5eTgaRQE05KYzcDZFA/hSkuWoVkUCu8B7n+ByRQF/MmRSHJJFAD6gUQhUskUDAg49vozORQHBfCp0xO5FAITuFyr9CkUDRFgD4TUqRQILyeiXcUZFAMs71UmpZkUDjqXCA+GCRQJOF662GaJFARGFm2xRwkUD1POEIo3eRQKUYXDYxf5FAVvTWY7+GkUAG0FGRTY6RQLerzL7blZFAZ4dH7GmdkUAYY8IZ+KSRQMg+PUeGrJFAeRq4dBS0kUAp9jKioruRQNrRrc8ww5FAiq0o/b7KkUA7iaMqTdKRQOtkHljb2ZFAnECZhWnhkUBMHBSz9+iRQP33juCF8JFArdMJDhT4kUBer4Q7ov+RQA6L/2gwB5JAv2Z6lr4OkkBwQvXDTBaSQCAecPHaHZJA0fnqHmklkkCB1WVM9yySQDKx4HmFNJJA4oxbpxM8kkCTaNbUoUOSQENEUQIwS5JA9B/ML75SkkCk+0ZdTFqSQFXXwYraYZJABbM8uGhpkkC2jrfl9nCSQGdqMhOFeJJAF0atQBOAkkDIIShuoYeSQHj9opsvj5JAKdkdyb2WkkDZtJj2S56SQIqQEyTapZJAOmyOUWitkkDrRwl/9rSSQJsjhKyEvJJATP/+2RLEkkD82nkHocuSQK229DQv05JAXpJvYr3akkAObuqPS+KSQL9JZb3Z6ZJAbyXg6mfxkkAgAVsY9viSQNDc1UWEAJNAgbhQcxIIk0AxlMugoA+TQOJvRs4uF5NAkkvB+7wek0BDJzwpSyaTQPMCt1bZLZNApN4xhGc1k0BVuqyx9TyTQAWWJ9+DRJNAtnGiDBJMk0BmTR06oFOTQBcpmGcuW5NAxwQTlbxik0B44I3CSmqTQCi8CPDYcZNA2ZeDHWd5k0CJc/5K9YCTQDpPeXiDiJNA6ir0pRGQk0CbBm/Tn5eTQEzi6QAun5NA/L1kLrymk0Ctmd9bSq6TQF11WonYtZNADlHVtma9k0C+LFDk9MSTQG8IyxGDzJNAH+RFPxHUk0DQv8Bsn9uTQICbO5ot45NAMXe2x7vqk0DhUjH1SfKTQJIurCLY+ZNAQwonUGYBlEDz5aF99AiUQKTBHKuCEJRAVJ2X2BAYlEAFeRIGnx+UQLVUjTMtJ5RAZjAIYbsulEAWDIOOSTaUQMfn/bvXPZRAd8N46WVFlEAon/MW9EyUQNh6bkSCVJRAiVbpcRBclEA6MmSfnmOUQOoN38wsa5RAm+lZ+rpylEBLxdQnSXqUQPygT1XXgZRArHzKgmWJlEBdWEWw85CUQA00wN2BmJRAvg87CxCglEBu67U4nqeUQB/HMGYsr5RAz6Krk7q2lECAfibBSL6UQDFaoe7WxZRA4TUcHGXNlECSEZdJ89SUQELtEXeB3JRA88iMpA/klECjpAfSneuUQFSAgv8r85RABFz9LLr6lEC1N3haSAKVQGUT84fWCZVAFu9ttWQRlUDGyuji8hiVQHemYxCBIJVAKILePQ8olUDYXVlrnS+VQIk51JgrN5VAORVPxrk+lUDq8MnzR0aVQJrMRCHWTZVAS6i/TmRVlUD7gzp88lyVQKxftamAZJVAXDsw1w5slUANF6sEnXOVQL3yJTIre5VAbs6gX7mClUAfqhuNR4qVQM+FlrrVkZVAgGER6GOZlUAwPYwV8qCVQOEYB0OAqJVAkfSBcA6wlUBC0PydnLeVQPKrd8sqv5VAo4fy+LjGlUBTY20mR86VQAQ/6FPV1ZVAtBpjgWPdlUBl9t2u8eSVQBbSWNx/7JVAxq3TCQ70lUB3iU43nPuVQCdlyWQqA5ZA2EBEkrgKlkCIHL+/RhKWQDn4Oe3UGZZA6dO0GmMhlkCary9I8SiWQEqLqnV/MJZA+2Ylow04lkCrQqDQmz+WQFweG/4pR5ZADfqVK7hOlkC91RBZRlaWQG6xi4bUXZZAHo0GtGJllkDPaIHh8GyWQH9E/A5/dJZAMCB3PA18lkDg+/Fpm4OWQJHXbJcpi5ZAQbPnxLeSlkDyjmLyRZqWQKJq3R/UoZZAU0ZYTWKplkAEItN68LCWQLT9Tah+uJZAZdnI1QzAlkAVtUMDm8eWQMaQvjApz5ZAdmw5XrfWlkAnSLSLRd6WQNcjL7nT5ZZAiP+p5mHtlkA42yQU8PSWQOm2n0F+/JZAmZIabwwEl0BKbpWcmguXQPpJEMooE5dAqyWL97Yal0BcAQYlRSKXQAzdgFLTKZdAvbj7f2Exl0BtlHat7ziXQB5w8dp9QJdAzktsCAxIl0B/J+c1mk+XQC8DYmMoV5dA4N7ckLZel0CQule+RGaXQEGW0uvSbZdA8XFNGWF1l0CiTchG73yXQFMpQ3R9hJdAAwW+oQuMl0C04DjPmZOXQGS8s/wnm5dAFZguKrail0DFc6lXRKqXQHZPJIXSsZdAJiufsmC5l0DXBhrg7sCXQIfilA19yJdAOL4POwvQl0DomYpomdeXQJl1BZYn35dASlGAw7Xml0D6LPvwQ+6XQKsIdh7S9ZdAW+TwS2D9l0AMwGt57gSYQLyb5qZ8DJhAbXdh1AoUmEAdU9wBmRuYQM4uVy8nI5hAfgrSXLUqmEAv5kyKQzKYQN/Bx7fROZhAkJ1C5V9BmEBBeb0S7kiYQPFUOEB8UJhAojCzbQpYmEBSDC6bmF+YQAPoqMgmZ5hAs8Mj9rRumEBkn54jQ3aYQBR7GVHRfZhAxVaUfl+FmEB1Mg+s7YyYQCYOitl7lJhA1ukEBwqcmECHxX80mKOYQDih+mEmq5hA6Hx1j7SymECZWPC8QrqYQEk0a+rQwZhA+g/mF1/JmECq62BF7dCYQFvH23J72JhAC6NWoAngmEC8ftHNl+eYQGxaTPsl75hAHTbHKLT2mEDNEUJWQv6YQH7tvIPQBZlAL8k3sV4NmUDfpLLe7BSZQJCALQx7HJlAQFyoOQkkmUDxNyNnlyuZQKETnpQlM5lAUu8YwrM6mUACy5PvQUKZQLOmDh3QSZlAY4KJSl5RmUAUXgR47FiZQMQ5f6V6YJlAdRX60ghomUAm8XQAl2+ZQNbM7y0ld5lAh6hqW7N+mUA3hOWIQYaZQOhfYLbPjZlAmDvb412VmUBJF1YR7JyZQPny0D56pJlAqs5LbAismUBaqsaZlrOZQAuGQccku5lAu2G89LLCmUBsPTciQcqZQB0Zsk/P0ZlAzfQsfV3ZmUB+0Keq6+CZQC6sIth56JlA34edBQjwmUCPYxgzlveZQEA/k2Ak/5lA8BoOjrIGmkCh9oi7QA6aQFHSA+nOFZpAAq5+Fl0dmkCyiflD6ySaQGNldHF5LJpAFEHvngc0mkDEHGrMlTuaQHX45PkjQ5pAJdRfJ7JKmkDWr9pUQFKaQIaLVYLOWZpAN2fQr1xhmkDnQkvd6miaQJgexgp5cJpASPpAOAd4mkD51btllX+aQKmxNpMjh5pAWo2xwLGOmkALaSzuP5aaQLtEpxvOnZpAbCAiSVylmkAc/Jx26qyaQM3XF6R4tJpAfbOS0Qa8mkAujw3/lMOaQN5qiCwjy5pAj0YDWrHSmkA/In6HP9qaQPD9+LTN4ZpAoNlz4lvpmkBRte4P6vCaQAKRaT14+JpAsmzkagYAm0BjSF+YlAebQBMk2sUiD5tAxP9U87AWm0B0288gPx6bQCW3Sk7NJZtA1ZLFe1stm0CGbkCp6TSbQDZKu9Z3PJtA5yU2BAZEm0CXAbExlEubQEjdK18iU5tA+bimjLBam0CplCG6PmKbQFpwnOfMaZtACkwXFVtxm0C7J5JC6XibQGsDDXB3gJtAHN+HnQWIm0DMugLLk4+bQH2Wffghl5tALXL4JbCem0DeTXNTPqabQI4p7oDMrZtAPwVprlq1m0Dw4OPb6LybQKC8Xgl3xJtAUZjZNgXMm0ABdFRkk9ObQLJPz5Eh25tAYitKv6/im0ATB8XsPeqbQMPiPxrM8ZtAdL66R1r5m0AkmjV16ACcQNV1sKJ2CJxAhVEr0AQQnEA2Lab9khecQOcIISshH5xAl+SbWK8mnEBIwBaGPS6cQPibkbPLNZxAqXcM4Vk9nEBZU4cO6EScQAovAjx2TJxAugp9aQRUnEBr5veWklucQBvCcsQgY5xAzJ3t8a5qnEB8eWgfPXKcQC1V40zLeZxA3jBeelmBnECODNmn54icQD/oU9V1kJxA78POAgSYnECgn0kwkp+cQFB7xF0gp5xAAVc/i66unECxMrq4PLacQGIONebKvZxAEuqvE1nFnEDDxSpB58ycQHOhpW511JxAJH0gnAPcnEDVWJvJkeOcQIU0Fvcf65xANhCRJK7ynEDm6wtSPPqcQJfHhn/KAZ1AR6MBrVgJnUD4fnza5hCdQKha9wd1GJ1AWTZyNQMgnUAJEu1ikSedQLrtZ5AfL51Aasniva02nUAbpV3rOz6dQMuA2BjKRZ1AfFxTRlhNnUAtOM5z5lSdQN0TSaF0XJ1Aju/DzgJknUA+yz78kGudQO+muSkfc51An4I0V616nUBQXq+EO4KdQAA6KrLJiZ1AsRWl31eRnUBh8R8N5pidQBLNmjp0oJ1AwqgVaAKonUBzhJCVkK+dQCRgC8Met51A1DuG8Ky+nUCFFwEeO8adQDXze0vJzZ1A5s72eFfVnUCWqnGm5dydQEeG7NNz5J1A92FnAQLsnUCoPeIukPOdQFgZXVwe+51ACfXXiawCnkC50FK3OgqeQGqszeTIEZ5AG4hIElcZnkDLY8M/5SCeQHw/Pm1zKJ5ALBu5mgEwnkDd9jPIjzeeQI3SrvUdP55APq4pI6xGnkDuiaRQOk6eQJ9lH37IVZ5AT0Gaq1ZdnkAAHRXZ5GSeQLD4jwZzbJ5AYdQKNAF0nkASsIVhj3ueQMKLAI8dg55Ac2d7vKuKnkAjQ/bpOZKeQNQecRfImZ5AhPrrRFahnkA11mZy5KieQOWx4Z9ysJ5Alo1czQC4nkBGadf6jr+eQPdEUigdx55ApyDNVavOnkBY/EeDOdaeQAnYwrDH3Z5AubM93lXlnkBqj7gL5OyeQBprMzly9J5Ay0auZgD8nkB7IimUjgOfQCz+o8EcC59A3Nke76oSn0CNtZkcORqfQD2RFErHIZ9A7myPd1Upn0CeSAql4zCfQE8khdJxOJ9AAAAAAABAn0A=\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]}},\"selected\":{\"id\":\"28175\"},\"selection_policy\":{\"id\":\"28174\"}},\"id\":\"28113\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"29408\",\"type\":\"BasicTicker\"},{\"attributes\":{\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]}},\"selected\":{\"id\":\"28311\"},\"selection_policy\":{\"id\":\"28310\"}},\"id\":\"28245\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"data\":{\"x\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]}},\"selected\":{\"id\":\"28455\"},\"selection_policy\":{\"id\":\"28454\"}},\"id\":\"28385\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"data\":{\"x\":{\"__ndarray__\":\"eEwN7B1TWUC1vzRiwcxZQPIyXNhkRlpAL6aDTgjAWkBsGavEqzlbQKqM0jpPs1tA5//5sPIsXEAkcyEnlqZcQGHmSJ05IF1AnllwE92ZXUDbzJeJgBNeQBhAv/8jjV5AVbPmdccGX0CSJg7saoBfQNCZNWIO+l9AhoYu7Ng5YEAlQEKnqnZgQMT5VWJ8s2BAYrNpHU7wYEAAbX3YHy1hQJ8mkZPxaWFAPuCkTsOmYUDcmbgJleNhQHtTzMRmIGJAGQ3gfzhdYkC4xvM6CppiQFaAB/bb1mJA9Tkbsa0TY0CU8y5sf1BjQDKtQidRjWNA0WZW4iLKY0BvIGqd9AZkQA7afVjGQ2RArJORE5iAZEBLTaXOab1kQOoGuYk7+mRAiMDMRA03ZUAmeuD/3nNlQMUz9LqwsGVAZO0HdoLtZUACpxsxVCpmQKBgL+wlZ2ZAQBpDp/ejZkDe01ZiyeBmQHyNah2bHWdAG0d+2GxaZ0C6AJKTPpdnQFi6pU4Q1GdA9nO5CeIQaECVLc3Es01oQDTn4H+FimhA0qD0OlfHaEBxWgj2KARpQBAUHLH6QGlArs0vbMx9aUBMh0MnnrppQOtAV+Jv92lAivpqnUE0akAotH5YE3FqQMZtkhPlrWpAZiemzrbqakAE4bmJiCdrQKKazURaZGtAQVTh/yuha0DgDfW6/d1rQH7HCHbPGmxAHIEcMaFXbEC7OjDscpRsQFr0Q6dE0WxA+K1XYhYObUCXZ2sd6EptQDUhf9i5h21A1NqSk4vEbUBylKZOXQFuQBFOugkvPm5AsAfOxAB7bkBOweF/0rduQO169Tqk9G5AizQJ9nUxb0Aq7hyxR25vQMinMGwZq29AZ2FEJ+vnb0CCDSxxXhJwQFLqtU7HMHBAIsc/LDBPcEDwo8kJmW1wQMCAU+cBjHBAj13dxGqqcEBeOmei08hwQC4X8X8853BA/fN6XaUFcUDM0AQ7DiRxQJytjhh3QnFAa4oY9t9gcUA6Z6LTSH9xQApELLGxnXFA2CC2jhq8cUCo/T9sg9pxQHfayUns+HFARrdTJ1UXckAWlN0EvjVyQOVwZ+ImVHJAtE3xv49yckCEKnud+JByQFMHBXthr3JAIuSOWMrNckDywBg2M+xyQMCdohOcCnNAkHos8QQpc0BfV7bObUdzQC40QKzWZXNA/hDKiT+Ec0DN7VNnqKJzQJzK3UQRwXNAbKdnInrfc0A7hPH/4v1zQAphe91LHHRA2j0Fu7Q6dECoGo+YHVl0QHj3GHaGd3RASNSiU++VdEAWsSwxWLR0QOaNtg7B0nRAtWpA7CnxdECER8rJkg91QFQkVKf7LXVAIwHehGRMdUDy3WdizWp1QMK68T82iXVAkZd7HZ+ndUBgdAX7B8Z1QDBRj9hw5HVA/i0ZttkCdkDOCqOTQiF2QJ3nLHGrP3ZAbMS2ThRedkA8oUAsfXx2QAt+ygnmmnZA2lpU5065dkCqN97Et9d2QHkUaKIg9nZASPHxf4kUd0AXzntd8jJ3QOeqBTtbUXdAtoePGMRvd0CFZBn2LI53QFRBo9OVrHdAJB4tsf7Kd0Dz+raOZ+l3QMLXQGzQB3hAkrTKSTkmeEBhkVQnokR4QDBu3gQLY3hA/0po4nOBeEDPJ/K/3J94QJ4EfJ1FvnhAbeEFe67ceEA9vo9YF/t4QAybGTaAGXlA23ejE+k3eUCqVC3xUVZ5QHoxt866dHlASQ5BrCOTeUAY68qJjLF5QOfHVGf1z3lAt6TeRF7ueUCGgWgixwx6QFVe8v8vK3pAJTt83ZhJekD0Fwa7AWh6QMP0j5hqhnpAktEZdtOkekBirqNTPMN6QDGLLTGl4XpAAGi3Dg4Ae0DQREHsdh57QJ8hy8nfPHtAbv5Up0hbe0A9296EsXl7QA24aGIamHtA3JTyP4O2e0CrcXwd7NR7QHpOBvtU83tASiuQ2L0RfEAZCBq2JjB8QOjko5OPTnxAuMEtcfhsfECHnrdOYYt8QFZ7QSzKqXxAJVjLCTPIfED1NFXnm+Z8QMQR38QEBX1Ak+5oom0jfUBjy/J/1kF9QDKofF0/YH1AAYUGO6h+fUDQYZAYEZ19QKA+GvZ5u31Abxuk0+LZfUA++C2xS/h9QA3Vt460Fn5A3bFBbB01fkCsjstJhlN+QHtrVSfvcX5AS0jfBFiQfkAaJWniwK5+QOkB878pzX5AuN58nZLrfkCIuwZ7+wl/QFeYkFhkKH9AJnUaNs1Gf0D2UaQTNmV/QMUuLvGeg39AlAu4zgeif0Bj6EGscMB/QDPFy4nZ3n9AAqJVZ0L9f0Bov2+i1Q2AQNCtNBEKHYBAOJz5fz4sgECgir7ucjuAQAd5g12nSoBAb2dIzNtZgEDWVQ07EGmAQD5E0qlEeIBApjKXGHmHgEAOIVyHrZaAQHUPIfbhpYBA3P3lZBa1gEBE7KrTSsSAQKzab0J/04BAFMk0sbPigEB7t/kf6PGAQOOlvo4cAYFASpSD/VAQgUCygkhshR+BQBpxDdu5LoFAgl/SSe49gUDpTZe4Ik2BQFA8XCdXXIFAuCohlotrgUAgGeYEwHqBQIgHq3P0iYFA7/Vv4iiZgUBX5DRRXaiBQL7S+b+Rt4FAJsG+LsbGgUCOr4Od+tWBQPadSAwv5YFAXYwNe2P0gUDEetLplwOCQCxpl1jMEoJAlFdcxwAigkD8RSE2NTGCQGM05qRpQIJAyyKrE55PgkAyEXCC0l6CQJr/NPEGboJAAu75Xzt9gkBq3L7Ob4yCQNHKgz2km4JAOLlIrNiqgkCgpw0bDbqCQAiW0olByYJAcISX+HXYgkDXclxnqueCQD9hIdbe9oJApk/mRBMGg0AOPquzRxWDQHYscCJ8JINA3Ro1kbAzg0BFCfr/5EKDQK33vm4ZUoNAFOaD3U1hg0B81EhMgnCDQOTCDbu2f4NAS7HSKeuOg0Czn5eYH56DQBuOXAdUrYNAgnwhdoi8g0DqaubkvMuDQFFZq1Px2oNAuUdwwiXqg0AhNjUxWvmDQIgk+p+OCIRA8BK/DsMXhEBYAYR99yaEQL/vSOwrNoRAJ94NW2BFhECPzNLJlFSEQPa6lzjJY4RAXqlcp/1yhEDFlyEWMoKEQC2G5oRmkYRAlXSr85qghED8YnBiz6+EQGRRNdEDv4RAzD/6PzjOhEAzLr+ubN2EQJschB2h7IRAAwtJjNX7hEBq+Q37CQuFQNLn0mk+GoVAOtaX2HIphUChxFxHpziFQAmzIbbbR4VAcKHmJBBXhUDYj6uTRGaFQEB+cAJ5dYVAp2w1ca2EhUAPW/rf4ZOFQHdJv04Wo4VA3jeEvUqyhUBGJkksf8GFQK4UDpuz0IVAFQPTCejfhUB98Zd4HO+FQOTfXOdQ/oVATM4hVoUNhkC0vObEuRyGQBurqzPuK4ZAg5lwoiI7hkDrhzURV0qGQFJ2+n+LWYZAumS/7r9ohkAiU4Rd9HeGQIlBScwoh4ZA8S8OO12WhkBYHtOpkaWGQMAMmBjGtIZAKPtch/rDhkCP6SH2LtOGQPfX5mRj4oZAX8ar05fxhkDGtHBCzACHQC6jNbEAEIdAlpH6HzUfh0D9f7+OaS6HQGVuhP2dPYdAzVxJbNJMh0A0Sw7bBlyHQJw500k7a4dAAyiYuG96h0BrFl0npImHQNMEIpbYmIdAOvPmBA2oh0Ci4atzQbeHQArQcOJ1xodAcb41UarVh0DZrPq/3uSHQEGbvy4T9IdAqImEnUcDiEAQeEkMfBKIQHdmDnuwIYhA31TT6eQwiEBHQ5hYGUCIQK4xXcdNT4hAFiAiNoJeiEB+Duektm2IQOX8qxPrfIhATetwgh+MiEC12TXxU5uIQBzI+l+IqohAhLa/zry5iEDrpIQ98ciIQFOTSawl2IhAu4EOG1rniEAicNOJjvaIQIpemPjCBYlA8kxdZ/cUiUBZOyLWKySJQMEp50RgM4lAKRiss5RCiUCQBnEiyVGJQPj0NZH9YIlAYOP6/zFwiUDH0b9uZn+JQC/AhN2ajolAlq5JTM+diUD+nA67A62JQGaL0yk4vIlAzXmYmGzLiUA1aF0HodqJQJ1WInbV6YlABEXn5An5iUBsM6xTPgiKQNQhccJyF4pAOxA2MacmikCj/vqf2zWKQArtvw4QRYpActuEfURUikDayUnseGOKQEG4DlutcopAqabTyeGBikARlZg4FpGKQHiDXadKoIpA4HEiFn+vikBIYOeEs76KQK9OrPPnzYpAFz1xYhzdikB+KzbRUOyKQOYZ+z+F+4pATgjArrkKi0C19oQd7hmLQB3lSYwiKYtAhdMO+1Y4i0DswdNpi0eLQFSwmNi/VotAvJ5dR/Rli0AjjSK2KHWLQIt75yRdhItA8mmsk5GTi0BaWHECxqKLQMJGNnH6sYtAKTX73y7Bi0CRI8BOY9CLQPkRhb2X34tAYABKLMzui0DI7g6bAP6LQDDd0wk1DYxAl8uYeGkcjED/uV3nnSuMQGeoIlbSOoxAzpbnxAZKjEA2hawzO1mMQJ1zcaJvaIxABWI2EaR3jEBtUPt/2IaMQNQ+wO4MloxAPC2FXUGljECkG0rMdbSMQAsKDzuqw4xAc/jTqd7SjEDb5pgYE+KMQELVXYdH8YxAqsMi9nsAjUARsudksA+NQHmgrNPkHo1A4Y5xQhkujUBIfTaxTT2NQLBr+x+CTI1AGFrAjrZbjUB/SIX96mqNQOc2Smwfeo1ATyUP21OJjUC2E9RJiJiNQB4Cmbi8p41AhfBdJ/G2jUDt3iKWJcaNQFXN5wRa1Y1AvLusc47kjUAkqnHiwvONQIyYNlH3Ao5A84b7vysSjkBbdcAuYCGOQMNjhZ2UMI5AKlJKDMk/jkCSQA97/U6OQPou1OkxXo5AYR2ZWGZtjkDJC17HmnyOQDD6IjbPi45AmOjnpAObjkAA16wTOKqOQGfFcYJsuY5Az7M28aDIjkA3ovtf1deOQJ6QwM4J545ABn+FPT72jkBubUqscgWPQNVbDxunFI9APUrUidsjj0CkOJn4DzOPQAwnXmdEQo9AdBUj1nhRj0DbA+hErWCPQEPyrLPhb49Aq+BxIhZ/j0ASzzaRSo6PQHq9+/9+nY9A4qvAbrOsj0BJmoXd57uPQLGISkwcy49AGHcPu1Daj0CAZdQphemPQOhTmZi5+I9AKCGvA/cDkEBcmBE7kQuQQJAPdHIrE5BAw4bWqcUakED3/TjhXyKQQCt1mxj6KZBAXuz9T5QxkECSY2CHLjmQQMbawr7IQJBA+lEl9mJIkEAuyYct/U+QQGJA6mSXV5BAlrdMnDFfkEDKLq/Ty2aQQP2lEQtmbpBAMR10QgB2kEBllNZ5mn2QQJgLObE0hZBAzIKb6M6MkEAA+v0faZSQQDRxYFcDnJBAaOjCjp2jkECcXyXGN6uQQNDWh/3RspBABE7qNGy6kEA3xUxsBsKQQGs8r6OgyZBAn7MR2zrRkEDSKnQS1diQQAai1klv4JBAOhk5gQnokEBukJu4o++QQKIH/u8995BA1n5gJ9j+kEAK9sJecgaRQD5tJZYMDpFAceSHzaYVkUClW+oEQR2RQNnSTDzbJJFADEqvc3UskUBAwRGrDzSRQHQ4dOKpO5FAqK/WGURDkUDcJjlR3kqRQBCem4h4UpFARBX+vxJakUB4jGD3rGGRQKsDwy5HaZFA33olZuFwkUAT8oede3iRQEZp6tQVgJFAeuBMDLCHkUCuV69DSo+RQOLOEXvklpFAFkZ0sn6ekUBKvdbpGKaRQH40OSGzrZFAsqubWE21kUDmIv6P57yRQBqaYMeBxJFATBHD/hvMkUCAiCU2ttORQLT/h21Q25FA6HbqpOrikUAc7kzchOqRQFBlrxMf8pFAhNwRS7n5kUC4U3SCUwGSQOzK1rntCJJAIEI58YcQkkBUuZsoIhiSQIYw/l+8H5JAuqdgl1YnkkDuHsPO8C6SQCKWJQaLNpJAVg2IPSU+kkCKhOp0v0WSQL77TKxZTZJA8nKv4/NUkkAm6hEbjlySQFphdFIoZJJAjtjWicJrkkDATznBXHOSQPTGm/j2epJAKD7+L5GCkkBctWBnK4qSQJAsw57FkZJAxKMl1l+ZkkD4GogN+qCSQCyS6kSUqJJAYAlNfC6wkkCUgK+zyLeSQMj3Eetiv5JA+m50Iv3GkkAu5tZZl86SQGJdOZEx1pJAltSbyMvdkkDKS/7/ZeWSQP7CYDcA7ZJAMjrDbpr0kkBmsSWmNPySQJooiN3OA5NAzp/qFGkLk0ACF01MAxOTQDSOr4OdGpNAaAUSuzcik0CcfHTy0SmTQNDz1ilsMZNABGs5YQY5k0A44puYoECTQGxZ/s86SJNAoNBgB9VPk0DUR8M+b1eTQAi/JXYJX5NAPDaIraNmk0BurerkPW6TQKIkTRzYdZNA1puvU3J9k0AKExKLDIWTQD6KdMKmjJNAcgHX+UCUk0CmeDkx25uTQNrvm2h1o5NADmf+nw+rk0BC3mDXqbKTQHZVww5EupNAqMwlRt7Bk0DcQ4h9eMmTQBC76rQS0ZNARDJN7KzYk0B4qa8jR+CTQKwgElvh55NA4Jd0knvvk0AUD9fJFfeTQEiGOQGw/pNAfP2bOEoGlECwdP5v5A2UQOLrYKd+FZRAFmPD3hgdlEBK2iUWsySUQH5RiE1NLJRAssjqhOczlEDmP028gTuUQBq3r/MbQ5RATi4SK7ZKlECCpXRiUFKUQLYc15nqWZRA6pM50YRhlEAcC5wIH2mUQFCC/j+5cJRAhPlgd1N4lEC4cMOu7X+UQOznJeaHh5RAIF+IHSKPlEBU1upUvJaUQIhNTYxWnpRAvMSvw/CllEDwOxL7iq2UQCSzdDIltZRAVirXab+8lECKoTmhWcSUQL4YnNjzy5RA8o/+D47TlEAmB2FHKNuUQFp+w37C4pRAjvUltlzqlEDCbIjt9vGUQPbj6iSR+ZRAKltNXCsBlUBe0q+TxQiVQJBJEstfEJVAxMB0AvoXlUD4N9c5lB+VQCyvOXEuJ5VAYCacqMgulUCUnf7fYjaVQMgUYRf9PZVA/IvDTpdFlUAwAyaGMU2VQGR6iL3LVJVAmPHq9GVclUDKaE0sAGSVQP7fr2Oaa5VAMlcSmzRzlUBmznTSznqVQJpF1wlpgpVAzrw5QQOKlUACNJx4nZGVQDar/q83mZVAaiJh59GglUCemcMebKiVQNIQJlYGsJVABoiIjaC3lUA4/+rEOr+VQGx2TfzUxpVAoO2vM2/OlUDUZBJrCdaVQAjcdKKj3ZVAPFPX2T3llUBwyjkR2OyVQKRBnEhy9JVA2Lj+fwz8lUAMMGG3pgOWQECnw+5AC5ZAch4mJtsSlkCmlYhddRqWQNoM65QPIpZADoRNzKkplkBC+68DRDGWQHZyEjveOJZAqul0cnhAlkDeYNepEkiWQBLYOeGsT5ZARk+cGEdXlkB6xv5P4V6WQKw9YYd7ZpZA4LTDvhVulkAULCb2r3WWQEijiC1KfZZAfBrrZOSElkCwkU2cfoyWQOQIsNMYlJZAGIASC7OblkBM93RCTaOWQIBu13nnqpZAtOU5sYGylkDmXJzoG7qWQBrU/h+2wZZATkthV1DJlkCCwsOO6tCWQLY5JsaE2JZA6rCI/R7glkAeKOs0ueeWQFKfTWxT75ZAhhawo+32lkC6jRLbh/6WQO4EdRIiBpdAIHzXSbwNl0BU8zmBVhWXQIhqnLjwHJdAvOH+74okl0DwWGEnJSyXQCTQw16/M5dAWEcmllk7l0CMvojN80KXQMA16wSOSpdA9KxNPChSl0AoJLBzwlmXQFqbEqtcYZdAjhJ14vZol0DCidcZkXCXQPYAOlEreJdAKniciMV/l0Be7/6/X4eXQJJmYff5jpdAxt3DLpSWl0D6VCZmLp6XQC7MiJ3IpZdAYkPr1GKtl0CUuk0M/bSXQMgxsEOXvJdA/KgSezHEl0AwIHWyy8uXQGSX1+ll05dAmA46IQDbl0DMhZxYmuKXQAD9/o806pdANHRhx87xl0Bo68P+aPmXQJxiJjYDAZhAztmIbZ0ImEACUeukNxCYQDbITdzRF5hAaj+wE2wfmECethJLBieYQNItdYKgLphABqXXuTo2mEA6HDrx1D2YQG6TnChvRZhAogr/XwlNmEDWgWGXo1SYQAj5w849XJhAPHAmBthjmEBw54g9cmuYQKRe63QMc5hA2NVNrKZ6mEAMTbDjQIKYQEDEEhvbiZhAdDt1UnWRmECosteJD5mYQNwpOsGpoJhAEKGc+EOomEBCGP8v3q+YQHaPYWd4t5hAqgbEnhK/mEDefSbWrMaYQBL1iA1HzphARmzrROHVmEB64018e92YQK5asLMV5ZhA4tES66/smEAWSXUiSvSYQErA11nk+5hAfDc6kX4DmUCwrpzIGAuZQOQl//+yEplAGJ1hN00amUBMFMRu5yGZQICLJqaBKZlAtAKJ3RsxmUDoeesUtjiZQBzxTUxQQJlAUGiwg+pHmUCE3xK7hE+ZQLZWdfIeV5lA6s3XKblemUAeRTphU2aZQFK8nJjtbZlAhjP/z4d1mUC6qmEHIn2ZQO4hxD68hJlAIpkmdlaMmUBWEImt8JOZQIqH6+SKm5lAvv5NHCWjmUDwdbBTv6qZQCTtEotZsplAWGR1wvO5mUCM29f5jcGZQMBSOjEoyZlA9MmcaMLQmUAoQf+fXNiZQFy4Ydf235lAkC/EDpHnmUDEpiZGK++ZQPgdiX3F9plAKpXrtF/+mUBeDE7s+QWaQJKDsCOUDZpAxvoSWy4VmkD6cXWSyByaQC7p18liJJpAYmA6Af0rmkCW15w4lzOaQMpO/28xO5pA/sVhp8tCmkAyPcTeZUqaQGa0JhYAUppAmCuJTZpZmkDMouuENGGaQAAaTrzOaJpANJGw82hwmkBoCBMrA3iaQJx/dWKdf5pA0PbXmTeHmkAEbjrR0Y6aQDjlnAhslppAbFz/PwaemkCg02F3oKWaQNJKxK46rZpABsIm5tS0mkA6OYkdb7yaQG6w61QJxJpAoidOjKPLmkDWnrDDPdOaQAoWE/vX2ppAPo11MnLimkByBNhpDOqaQKZ7OqGm8ZpA2vKc2ED5mkAMav8P2wCbQEDhYUd1CJtAdFjEfg8Qm0Cozya2qRebQNxGie1DH5tAEL7rJN4mm0BENU5ceC6bQHissJMSNptArCMTy6w9m0DgmnUCR0WbQBQS2DnhTJtARok6cXtUm0B6AJ2oFVybQK53/9+vY5tA4u5hF0prm0AWZsRO5HKbQErdJoZ+eptAflSJvRiCm0Cyy+v0sombQOZCTixNkZtAGrqwY+eYm0BOMRObgaCbQICoddIbqJtAtB/YCbavm0DoljpBULebQBwOnXjqvptAUIX/r4TGm0CE/GHnHs6bQLhzxB651ZtA7OomVlPdm0AgYomN7eSbQFTZ68SH7JtAiFBO/CH0m0C6x7AzvPubQO4+E2tWA5xAIrZ1ovAKnEBWLdjZihKcQIqkOhElGpxAvhudSL8hnEDykv9/WSmcQCYKYrfzMJxAWoHE7o04nECO+CYmKECcQMJviV3CR5xA9ObrlFxPnEAoXk7M9lacQFzVsAORXpxAkEwTOytmnEDEw3VyxW2cQPg62KlfdZxALLI64fl8nEBgKZ0YlIScQJSg/08ujJxAyBdih8iTnED8jsS+YpucQC4GJ/b8opxAYn2JLZeqnECW9OtkMbKcQMprTpzLuZxA/uKw02XBnEAyWhMLAMmcQGbRdUKa0JxAmkjYeTTYnEDOvzqxzt+cQAI3neho55xANq7/HwPvnEBoJWJXnfacQJycxI43/pxA0BMnxtEFnUAEi4n9aw2dQDgC7DQGFZ1AbHlObKAcnUCg8LCjOiSdQNRnE9vUK51ACN91Em8znUA8VthJCTudQHDNOoGjQp1AokSduD1KnUDWu//v11GdQAozYidyWZ1APqrEXgxhnUByISeWpmidQKaYic1AcJ1A2g/sBNt3nUAOh048dX+dQEL+sHMPh51AdnUTq6mOnUCq7HXiQ5adQNxj2BnenZ1AENs6UXilnUBEUp2IEq2dQHjJ/7+stJ1ArEBi90a8nUDgt8Qu4cOdQBQvJ2Z7y51ASKaJnRXTnUB8HezUr9qdQLCUTgxK4p1A5AuxQ+TpnUAWgxN7fvGdQEr6dbIY+Z1AfnHY6bIAnkCy6DohTQieQOZfnVjnD55AGtf/j4EXnkBOTmLHGx+eQILFxP61Jp5AtjwnNlAunkDqs4lt6jWeQB4r7KSEPZ5AUKJO3B5FnkCEGbETuUyeQLiQE0tTVJ5A7Ad2gu1bnkAgf9i5h2OeQFT2OvEha55AiG2dKLxynkC85P9fVnqeQPBbYpfwgZ5AJNPEzoqJnkBYSicGJZGeQIrBiT2/mJ5AvjjsdFmgnkDyr06s86eeQCYnseONr55AWp4TGyi3nkCOFXZSwr6eQMKM2Ilcxp5A9gM7wfbNnkAqe534kNWeQF7y/y8r3Z5AkmliZ8XknkDG4MSeX+yeQPhXJ9b5855ALM+JDZT7nkBgRuxELgOfQJS9TnzICp9AyDSxs2ISn0D8qxPr/BmfQDAjdiKXIZ9AZJrYWTEpn0CYETuRyzCfQMyInchlOJ9AAAAAAABAn0A=\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]},\"y\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[1000]}},\"selected\":{\"id\":\"27447\"},\"selection_policy\":{\"id\":\"27446\"}},\"id\":\"27413\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"callback\":null,\"names\":[\"5252915722186646502\"],\"tooltips\":[[\"LUNC\",\"1026.316\"],[\"SDTC\",\"1948.718\"],[\"Mid Price\",\"0.527\"]]},\"id\":\"29023\",\"type\":\"HoverTool\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.4},\"fill_color\":{\"value\":\"red\"},\"hatch_alpha\":{\"value\":0.4},\"hatch_color\":{\"value\":\"red\"},\"line_alpha\":{\"value\":0.4},\"line_color\":{\"value\":\"red\"},\"size\":{\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"27378\",\"type\":\"Circle\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"red\"},\"hatch_alpha\":{\"value\":0.1},\"hatch_color\":{\"value\":\"red\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"red\"},\"size\":{\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"28939\",\"type\":\"Circle\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.2},\"fill_color\":{\"value\":\"red\"},\"hatch_alpha\":{\"value\":0.2},\"hatch_color\":{\"value\":\"red\"},\"line_alpha\":{\"value\":0.2},\"line_color\":{\"value\":\"red\"},\"size\":{\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"27380\",\"type\":\"Circle\"},{\"attributes\":{},\"id\":\"29021\",\"type\":\"Selection\"},{\"attributes\":{\"coordinates\":null,\"data_source\":{\"id\":\"27377\"},\"glyph\":{\"id\":\"27378\"},\"group\":null,\"hover_glyph\":null,\"muted_glyph\":{\"id\":\"27380\"},\"name\":\"-5911671592522910490\",\"nonselection_glyph\":{\"id\":\"27379\"},\"view\":{\"id\":\"27382\"}},\"id\":\"27381\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"callback\":null,\"names\":[\"-5911671592522910490\"],\"tooltips\":[[\"LUNC\",\"1238.095\"],[\"SDTC\",\"1615.385\"],[\"Mid Price\",\"0.766\"]]},\"id\":\"27411\",\"type\":\"HoverTool\"},{\"attributes\":{\"source\":{\"id\":\"27377\"}},\"id\":\"27382\",\"type\":\"CDSView\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"red\"},\"hatch_alpha\":{\"value\":0.1},\"hatch_color\":{\"value\":\"red\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"red\"},\"size\":{\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"27379\",\"type\":\"Circle\"}],\"root_ids\":[\"29465\"]},\"title\":\"Bokeh Application\",\"version\":\"2.4.3\"}};\n",
       "  const render_items = [{\"docid\":\"4b57cec5-3477-42e2-b720-9a4fc3b81d23\",\"root_ids\":[\"29465\"],\"roots\":{\"29465\":\"8159b87e-43fe-48cc-bd01-237362b663e7\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    let attempts = 0;\n",
       "    const timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "29465"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from cpy_amm.market import Pool, MarketQuote, MarketPair\n",
    "from cpy_amm.swap import constant_product_swap\n",
    "from cpy_amm.plotting import new_pool_figure, new_constant_product_figure\n",
    "\n",
    "# retrieve the base pool state variable from Columbus-5 \n",
    "base_pool = 1000\n",
    "# retrieve the terra pool delta state variable from Columbus-5 \n",
    "terra_pool_delta = 0\n",
    "# LUNC/SDR = 0.5 SDR\n",
    "lunc_sdr = MarketQuote(\"LUNC/SDR\", 0.5)\n",
    "# liquidity pool made up of reserves SDT\n",
    "terra_pool = Pool(\"SDTC\", (base_pool+terra_pool_delta))\n",
    "# liquidity pool made up of reserves of LUNC\n",
    "lunc_pool = Pool(\"LUNC\", base_pool**2/terra_pool.balance/lunc_sdr.price)\n",
    "# create a market for SDTC/LUNC\n",
    "mkt = MarketPair(terra_pool, lunc_pool, 0, lunc_sdr.price)\n",
    "# constant product curve\n",
    "cp_figure = new_constant_product_figure(mkt, x_max=2000)\n",
    "# swap 300 SDTC for LUNC\n",
    "trade_order = TradeOrder(\"LUNC/SDTC\", 300, mkt.swap_fee)\n",
    "# swap sdtc_in for dy LUNC tokens\n",
    "lunc_out, _ = constant_product_swap(mkt, trade_order)\n",
    "# constant product curve\n",
    "cp_figure = new_constant_product_figure(mkt, bokeh_figure=cp_figure, x_max=2000)\n",
    "# get pool recovery period\n",
    "pool_recovery_period = terra.market.parameters()[\"pool_recovery_period\"]\n",
    "# replenish amount per 1 block\n",
    "lunc_in = lunc_out / pool_recovery_period\n",
    "# swap lunc_in LUNC for SDTC to bring delta back to 0\n",
    "trade_order = TradeOrder(\"LUNC/SDTC\", -lunc_in, mkt.swap_fee)\n",
    "# simulate Replenish Pools at the end of each blocks during the pool recovery period (currently 18 blocks)\n",
    "for block in range(1, pool_recovery_period+1):\n",
    "    # swap sdtc_in for dy LUNC tokens\n",
    "    constant_product_swap(mkt, trade_order)\n",
    "    # constant product \n",
    "    cp_figure = new_constant_product_figure(mkt, bokeh_figure=cp_figure, x_max=2000)\n",
    "# display pools after replenish pools (18 blocks)\n",
    "pool_figure = new_pool_figure(terra_pool, lunc_pool, steps=[f\"b{i}\" for i in range(0,len(lunc_pool.reserves))])\n",
    "show(grid([[cp_figure], [pool_figure]], sizing_mode=\"stretch_both\"))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "cpy_amm_3",
   "language": "python",
   "name": "cpy_amm_3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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