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System.Collections.Generic;\n    using System.Linq;\n    using System.Globalization;\n    using System.Drawing;\n    using QuantConnect;\n    using QuantConnect.Algorithm.Framework;\n    using QuantConnect.Algorithm.Framework.Selection;\n    using QuantConnect.Algorithm.Framework.Alphas;\n    using QuantConnect.Algorithm.Framework.Portfolio;\n    using QuantConnect.Algorithm.Framework.Portfolio.SignalExports;\n    using QuantConnect.Algorithm.Framework.Execution;\n    using QuantConnect.Algorithm.Framework.Risk;\n    using QuantConnect.Algorithm.Selection;\n    using QuantConnect.Api;\n    using QuantConnect.Parameters;\n    using QuantConnect.Benchmarks;\n    using QuantConnect.Brokerages;\n    using QuantConnect.Commands;\n    using QuantConnect.Configuration;\n    using QuantConnect.Util;\n    using QuantConnect.Interfaces;\n    using QuantConnect.Algorithm;\n    using QuantConnect.Indicators;\n    using QuantConnect.Data;\n    using QuantConnect.Data.Auxiliary;\n    using QuantConnect.Data.Consolidators;\n    using QuantConnect.Data.Custom;\n    using QuantConnect.Data.Custom.IconicTypes;\n    using QuantConnect.DataSource;\n    using QuantConnect.Data.Fundamental;\n    using QuantConnect.Data.Market;\n    using QuantConnect.Data.Shortable;\n    using QuantConnect.Data.UniverseSelection;\n    using QuantConnect.Notifications;\n    using QuantConnect.Orders;\n    using QuantConnect.Orders.Fees;\n    using QuantConnect.Orders.Fills;\n    using QuantConnect.Orders.OptionExercise;\n    using QuantConnect.Orders.Slippage;\n    using QuantConnect.Orders.TimeInForces;\n    using QuantConnect.Python;\n    using QuantConnect.Scheduling;\n    using QuantConnect.Securities;\n    using QuantConnect.Securities.Equity;\n    using QuantConnect.Securities.Future;\n    using QuantConnect.Securities.Option;\n    using QuantConnect.Securities.Positions;\n    using QuantConnect.Securities.Forex;\n    using QuantConnect.Securities.Crypto;\n    using QuantConnect.Securities.CryptoFuture;\n    using QuantConnect.Securities.IndexOption;\n    using QuantConnect.Securities.Interfaces;\n    using QuantConnect.Securities.Volatility;\n    using QuantConnect.Storage;\n    using QuantConnect.Statistics;\n    using QCAlgorithmFramework = QuantConnect.Algorithm.QCAlgorithm;\n    using QCAlgorithmFrameworkBridge = QuantConnect.Algorithm.QCAlgorithm;\n    using Calendar = QuantConnect.Data.Consolidators.Calendar;\n#endregion\n\nnamespace QuantConnect.Algorithm.CSharp\n{\n    public class AssetAllocationAlgorithm : QCAlgorithm\n    {\n        private List<Security> _securities;\n        private SharpePortfolioOptimizer _optimizer;\n        private IDateRule _dateRule;\n\n        public override void Initialize()\n        {\n            SetStartDate(EndDate.AddDays(-5 * 365));\n            SetCash(100_000);\n            Settings.RebalancePortfolioOnSecurityChanges = false;\n\n            var tickers = new[] { \"IEF\", \"TLT\", \"SPY\", \"EFA\", \"EEM\", \"JPXN\", \"XLK\" };\n            _securities = tickers.Select(t => (Security)AddEquity(t, Resolution.Daily)).ToList();\n            _optimizer = new SharpePortfolioOptimizer();\n            \/\/ Anchor date rule to SPY to align with the US equity market calendar.\n            _dateRule = DateRules.MonthStart(\"SPY\");\n            SetWarmUp(TimeSpan.FromDays(252));\n        }\n\n        public override void OnWarmupFinished()\n        {\n            var timeRule = TimeRules.At(8, 0);\n            \/\/ Schedule monthly rebalances aligned to the US equity calendar.\n            Schedule.On(_dateRule, timeRule, Rebalance);\n            if (LiveMode)\n            {\n                Rebalance();\n            }\n            else\n            {\n                Schedule.On(DateRules.Today, timeRule, Rebalance);\n            }\n        }\n\n        private void Rebalance()\n        {\n            var weightBySymbol = _optimizer.GetWeights(this, _securities);\n            if (weightBySymbol == null || weightBySymbol.Count == 0) return;\n            foreach (var (symbol, weight) in weightBySymbol)\n            {\n                Plot(\"Weights\", symbol.Value, (decimal)weight);\n                SetHoldings(symbol, weight);\n            }\n        }\n    }\n\n    public class SharpePortfolioOptimizer\n    {\n        private const int Period = 252;\n        private readonly NewMaximumSharpeRatioPortfolioOptimizer _optimizer = new NewMaximumSharpeRatioPortfolioOptimizer(0, 1);\n\n        public Dictionary<Symbol, double> GetWeights(QCAlgorithm algorithm, List<Security> securities)\n        {\n            var symbols = securities.Select(s => s.Symbol).ToList();\n            var history = algorithm.History<TradeBar>(symbols, Period + 1, Resolution.Daily);\n\n            \/\/ Build close price lists per symbol, preserving time order.\n            var pricesBySymbol = symbols.ToDictionary(s => s, _ => new List<double>());\n            foreach (var slice in history)\n                foreach (var symbol in symbols)\n                    if (slice.ContainsKey(symbol))\n                        pricesBySymbol[symbol].Add((double)slice[symbol].Close);\n\n            int minLen = pricesBySymbol.Values.Min(v => v.Count);\n            if (minLen < 2) return null;\n\n            var valid = symbols.Where(s => pricesBySymbol[s].Count == minLen).ToList();\n            if (valid.Count < 2) return null;\n\n            int n = valid.Count;\n            int rows = minLen - 1;\n\n            \/\/ Compute daily returns matrix (rows x n) to pass to the optimizer.\n            var ret = new double[rows, n];\n            for (int j = 0; j < n; j++)\n            {\n                var p = pricesBySymbol[valid[j]];\n                for (int i = 0; i < rows; i++)\n                    ret[i, j] = (p[i + 1] - p[i]) \/ p[i];\n            }\n\n            \/\/ Maximize the portfolio Sharpe ratio using the long-only optimizer.\n            var rawWeights = _optimizer.Optimize(ret);\n            return valid.Zip(rawWeights, (s, w) => (s, w))\n                        .ToDictionary(t => t.s, t => t.w);\n        }\n    }\n}\n","modified":"2026-03-06 20:14:48","name":"Main.cs","open":true,"isLibrary":false,"projectId":28745469},{"id":126862290,"content":"\/*\n * QUANTCONNECT.COM - Democratizing Finance, Empowering Individuals.\n * Lean Algorithmic Trading Engine v2.0. Copyright 2014 QuantConnect Corporation.\n *\n * Licensed under the Apache License, Version 2.0 (the \"License\");\n * you may not use this file except in compliance with the License.\n * You may obtain a copy of the License at http:\/\/www.apache.org\/licenses\/LICENSE-2.0\n *\n * Unless required by applicable law or agreed to in writing, software\n * distributed under the License is distributed on an \"AS IS\" BASIS,\n * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n * See the License for the specific language governing permissions and\n * limitations under the License.\n*\/\n\nusing System.Linq;\nusing System.Collections.Generic;\nusing Accord.Math;\nusing Accord.Math.Optimization;\nusing Accord.Statistics;\n\nnamespace QuantConnect.Algorithm.Framework.Portfolio\n{\n    \/\/\/ <summary>\n    \/\/\/ Provides an implementation of a portfolio optimizer that maximizes the portfolio Sharpe Ratio.\n    \/\/\/ The interval of weights in optimization method can be changed based on the long-short algorithm.\n    \/\/\/ The default model uses flat risk free rate and weight for an individual security range from -1 to 1.\n    \/\/\/ <\/summary>\n    public class NewMaximumSharpeRatioPortfolioOptimizer : IPortfolioOptimizer\n    {\n        private double _lower;\n        private double _upper;\n        private double _riskFreeRate;\n\n        \/\/\/ <summary>\n        \/\/\/ Initialize a new instance of <see cref=\"NewMaximumSharpeRatioPortfolioOptimizer\"\/>\n        \/\/\/ <\/summary>\n        \/\/\/ <param name=\"lower\">Lower constraint<\/param>\n        \/\/\/ <param name=\"upper\">Upper constraint<\/param>\n        \/\/\/ <param name=\"riskFreeRate\"><\/param>\n        public NewMaximumSharpeRatioPortfolioOptimizer(double lower = -1, double upper = 1, double riskFreeRate = 0.0)\n        {\n            _lower = lower;\n            _upper = upper;\n            _riskFreeRate = riskFreeRate;\n        }\n\n        \/\/\/ <summary>\n        \/\/\/ Sum of all weight is one: 1^T w = 1 \/ \u03a3w = 1\n        \/\/\/ <\/summary>\n        \/\/\/ <param name=\"size\">number of variables<\/param>\n        \/\/\/ <returns>linear constraint object<\/returns>\n        protected LinearConstraint GetBudgetConstraint(int size)\n        {\n            return new LinearConstraint(size)\n            {\n                CombinedAs = Vector.Create(size, 1.0),\n                ShouldBe = ConstraintType.EqualTo,\n                Value = 1.0\n            };\n        }\n\n        \/\/\/ <summary>\n        \/\/\/ Boundary constraints on weights: lw \u2264 w \u2264 up\n        \/\/\/ <\/summary>\n        \/\/\/ <param name=\"size\">number of variables<\/param>\n        \/\/\/ <returns>enumeration of linear constraint objects<\/returns>\n        protected IEnumerable<LinearConstraint> GetBoundaryConditions(int size)\n        {\n            for (int i = 0; i < size; i++)\n            {\n                yield return new LinearConstraint(1)\n                {\n                    VariablesAtIndices = new int[] { i },\n                    ShouldBe = ConstraintType.GreaterThanOrEqualTo,\n                    Value = _lower\n                };\n                yield return new LinearConstraint(1)\n                {\n                    VariablesAtIndices = new int[] { i },\n                    ShouldBe = ConstraintType.LesserThanOrEqualTo,\n                    Value = _upper\n                };\n            }\n        }\n\n        \/\/\/ <summary>\n        \/\/\/ Perform portfolio optimization for a provided matrix of historical returns and an array of expected returns\n        \/\/\/ <\/summary>\n        \/\/\/ <param name=\"historicalReturns\">Matrix of annualized historical returns where each column represents a security and each row returns for the given date\/time (size: K x N).<\/param>\n        \/\/\/ <param name=\"expectedReturns\">Array of double with the portfolio annualized expected returns (size: K x 1).<\/param>\n        \/\/\/ <param name=\"covariance\">Multi-dimensional array of double with the portfolio covariance of annualized returns (size: K x K).<\/param>\n        \/\/\/ <returns>Array of double with the portfolio weights (size: K x 1)<\/returns>\n        public double[] Optimize(double[,] historicalReturns, double[] expectedReturns = null, double[,] covariance = null)\n        {\n            covariance = covariance ?? historicalReturns.Covariance();\n            var returns = (expectedReturns ?? historicalReturns.Mean(0)).Subtract(_riskFreeRate);\n            var size = covariance.GetLength(0);\n            var equalWeight = Vector.Create(size, 1.0 \/ size);\n\n            \/\/ Charnes-Cooper transformation: maximising the Sharpe ratio\n            \/\/ https:\/\/quant.stackexchange.com\/questions\/18521\/sharpe-maximization-under-quadratic-constraints\n            \/\/ max  \u03bc'w \/ \u221a(w'\u03a3w)\n            bool feasible = _lower >= 0 ? returns.Any(r => r > 0) : returns.Any(r => r != 0);\n            if (!feasible) return equalWeight;\n\n            var constraints = new List<LinearConstraint>\n            {\n                \/\/ \u03bc'y = 1 Charnes-Cooper.\n                new LinearConstraint(size)\n                {\n                    CombinedAs = returns,\n                    ShouldBe = ConstraintType.EqualTo,\n                    Value = 1.0\n                }\n            };\n\n            \/\/ \u03a3w = 1 and w_i \u2265 0.\n            if (_lower >= 0)\n            {\n                for (int i = 0; i < size; i++)\n                {\n                    constraints.Add(new LinearConstraint(1)\n                    {\n                        VariablesAtIndices = [i],\n                        ShouldBe = ConstraintType.GreaterThanOrEqualTo,\n                        Value = 0.0\n                    });\n                }\n            }\n\n            \/\/ Setup solver\n            var objective = new QuadraticObjectiveFunction(covariance, new double[size]);\n            var solver = new GoldfarbIdnani(objective, constraints);\n            if (!solver.Minimize()) return equalWeight;\n            \n            \/\/ Solve problem\n            var y = solver.Solution;\n            var sumY = y.Sum();\n            return sumY > 0 ? y.Select(yi => yi \/ sumY).ToArray() : equalWeight;\n        }\n    }\n}","modified":"2026-03-06 20:14:48","name":"MaximumSharpeRatioPortfolioOptimizer.cs","open":true,"isLibrary":false,"projectId":28745469},{"id":126862289,"content":"<!DOCTYPE html>\n\n<html lang=\"en\">\n<head><meta charset=\"utf-8\"\/>\n<meta content=\"width=device-width, initial-scale=1.0\" name=\"viewport\"\/>\n<title>1775396879_2226<\/title><script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/require.js\/2.1.10\/require.min.js\"><\/script>\n<style type=\"text\/css\">\n    pre { line-height: 125%; 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License.\n|\n| The full license is in the file LICENSE, distributed with this software.\n|----------------------------------------------------------------------------*\/\n\n.lm-ScrollBar {\n  display: flex;\n  -webkit-user-select: none;\n  -moz-user-select: none;\n  -ms-user-select: none;\n  user-select: none;\n}\n\n.lm-ScrollBar[data-orientation='horizontal'] {\n  flex-direction: row;\n}\n\n.lm-ScrollBar[data-orientation='vertical'] {\n  flex-direction: column;\n}\n\n.lm-ScrollBar-button {\n  box-sizing: border-box;\n  flex: 0 0 auto;\n}\n\n.lm-ScrollBar-track {\n  box-sizing: border-box;\n  position: relative;\n  overflow: hidden;\n  flex: 1 1 auto;\n}\n\n.lm-ScrollBar-thumb {\n  box-sizing: border-box;\n  position: absolute;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Copyright (c) 2014-2017, PhosphorJS Contributors\n|\n| Distributed under the terms of the BSD 3-Clause License.\n|\n| The full license is in the file LICENSE, distributed with this software.\n|----------------------------------------------------------------------------*\/\n\n.lm-SplitPanel-child {\n  z-index: 0;\n}\n\n.lm-SplitPanel-handle {\n  z-index: 1;\n}\n\n.lm-SplitPanel-handle.lm-mod-hidden {\n  display: none !important;\n}\n\n.lm-SplitPanel-handle:after {\n  position: absolute;\n  top: 0;\n  left: 0;\n  width: 100%;\n  height: 100%;\n  content: '';\n}\n\n.lm-SplitPanel[data-orientation='horizontal'] > .lm-SplitPanel-handle {\n  cursor: ew-resize;\n}\n\n.lm-SplitPanel[data-orientation='vertical'] > .lm-SplitPanel-handle {\n  cursor: ns-resize;\n}\n\n.lm-SplitPanel[data-orientation='horizontal'] > .lm-SplitPanel-handle:after {\n  left: 50%;\n  min-width: 8px;\n  transform: translateX(-50%);\n}\n\n.lm-SplitPanel[data-orientation='vertical'] > .lm-SplitPanel-handle:after {\n  top: 50%;\n  min-height: 8px;\n  transform: translateY(-50%);\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Copyright (c) 2014-2017, PhosphorJS Contributors\n|\n| Distributed under the terms of the BSD 3-Clause License.\n|\n| The full license is in the file LICENSE, distributed with this software.\n|----------------------------------------------------------------------------*\/\n\n.lm-TabBar {\n  display: flex;\n  -webkit-user-select: none;\n  -moz-user-select: none;\n  -ms-user-select: none;\n  user-select: none;\n}\n\n.lm-TabBar[data-orientation='horizontal'] {\n  flex-direction: row;\n  align-items: flex-end;\n}\n\n.lm-TabBar[data-orientation='vertical'] {\n  flex-direction: column;\n  align-items: flex-end;\n}\n\n.lm-TabBar-content {\n  margin: 0;\n  padding: 0;\n  display: flex;\n  flex: 1 1 auto;\n  list-style-type: none;\n}\n\n.lm-TabBar[data-orientation='horizontal'] > .lm-TabBar-content {\n  flex-direction: row;\n}\n\n.lm-TabBar[data-orientation='vertical'] > .lm-TabBar-content {\n  flex-direction: column;\n}\n\n.lm-TabBar-tab {\n  display: flex;\n  flex-direction: row;\n  box-sizing: border-box;\n  overflow: hidden;\n  touch-action: none; \/* Disable native Drag\/Drop *\/\n}\n\n.lm-TabBar-tabIcon,\n.lm-TabBar-tabCloseIcon {\n  flex: 0 0 auto;\n}\n\n.lm-TabBar-tabLabel {\n  flex: 1 1 auto;\n  overflow: hidden;\n  white-space: nowrap;\n}\n\n.lm-TabBar-tabInput {\n  user-select: all;\n  width: 100%;\n  box-sizing: border-box;\n}\n\n.lm-TabBar-tab.lm-mod-hidden {\n  display: none !important;\n}\n\n.lm-TabBar-addButton.lm-mod-hidden {\n  display: none !important;\n}\n\n.lm-TabBar.lm-mod-dragging .lm-TabBar-tab {\n  position: relative;\n}\n\n.lm-TabBar.lm-mod-dragging[data-orientation='horizontal'] .lm-TabBar-tab {\n  left: 0;\n  transition: left 150ms ease;\n}\n\n.lm-TabBar.lm-mod-dragging[data-orientation='vertical'] .lm-TabBar-tab {\n  top: 0;\n  transition: top 150ms ease;\n}\n\n.lm-TabBar.lm-mod-dragging .lm-TabBar-tab.lm-mod-dragging {\n  transition: none;\n}\n\n.lm-TabBar-tabLabel .lm-TabBar-tabInput {\n  user-select: all;\n  width: 100%;\n  box-sizing: border-box;\n  background: inherit;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Copyright (c) 2014-2017, PhosphorJS Contributors\n|\n| Distributed under the terms of the BSD 3-Clause License.\n|\n| The full license is in the file LICENSE, distributed with this software.\n|----------------------------------------------------------------------------*\/\n\n.lm-TabPanel-tabBar {\n  z-index: 1;\n}\n\n.lm-TabPanel-stackedPanel {\n  z-index: 0;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Copyright (c) 2014-2017, PhosphorJS Contributors\n|\n| Distributed under the terms of the BSD 3-Clause License.\n|\n| The full license is in the file LICENSE, distributed with this software.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-Collapse {\n  display: flex;\n  flex-direction: column;\n  align-items: stretch;\n}\n\n.jp-Collapse-header {\n  padding: 1px 12px;\n  background-color: var(--jp-layout-color1);\n  border-bottom: solid var(--jp-border-width) var(--jp-border-color2);\n  color: var(--jp-ui-font-color1);\n  cursor: pointer;\n  display: flex;\n  align-items: center;\n  font-size: var(--jp-ui-font-size0);\n  font-weight: 600;\n  text-transform: uppercase;\n  user-select: none;\n}\n\n.jp-Collapser-icon {\n  height: 16px;\n}\n\n.jp-Collapse-header-collapsed .jp-Collapser-icon {\n  transform: rotate(-90deg);\n  margin: auto 0;\n}\n\n.jp-Collapser-title {\n  line-height: 25px;\n}\n\n.jp-Collapse-contents {\n  padding: 0 12px;\n  background-color: var(--jp-layout-color1);\n  color: var(--jp-ui-font-color1);\n  overflow: auto;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/* This file was auto-generated by ensureUiComponents() in @jupyterlab\/buildutils *\/\n\n\/**\n * (DEPRECATED) Support for consuming icons as CSS background images\n *\/\n\n\/* Icons urls *\/\n\n:root {\n  --jp-icon-add-above: url(data:image\/svg+xml;base64,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);\n  --jp-icon-add-below: url(data:image\/svg+xml;base64,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);\n  --jp-icon-add: url(data:image\/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTE5IDEzaC02djZoLTJ2LTZINXYtMmg2VjVoMnY2aDZ2MnoiLz4KICA8L2c+Cjwvc3ZnPgo=);\n  --jp-icon-bell: url(data:image\/svg+xml;base64,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);\n  --jp-icon-bug-dot: 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 --jp-icon-undo: url(data:image\/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIxNiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTEyLjUgOGMtMi42NSAwLTUuMDUuOTktNi45IDIuNkwyIDd2OWg5bC0zLjYyLTMuNjJjMS4zOS0xLjE2IDMuMTYtMS44OCA1LjEyLTEuODggMy41NCAwIDYuNTUgMi4zMSA3LjYgNS41bDIuMzctLjc4QzIxLjA4IDExLjAzIDE3LjE1IDggMTIuNSA4eiIvPgogIDwvZz4KPC9zdmc+Cg==);\n  --jp-icon-user: url(data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMTYiIHZpZXdCb3g9IjAgMCAyNCAyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTE2IDdhNCA0IDAgMTEtOCAwIDQgNCAwIDAxOCAwek0xMiAxNGE3IDcgMCAwMC03IDdoMTRhNyA3IDAgMDAtNy03eiIvPgogIDwvZz4KPC9zdmc+Cg==);\n  --jp-icon-users: url(data:image\/svg+xml;base64,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);\n  --jp-icon-vega: url(data:image\/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIyIDIyIj4KICA8ZyBjbGFzcz0ianAtaWNvbjEganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjMjEyMTIxIj4KICAgIDxwYXRoIGQ9Ik0xMC42IDUuNGwyLjItMy4ySDIuMnY3LjNsNC02LjZ6Ii8+CiAgICA8cGF0aCBkPSJNMTUuOCAyLjJsLTQuNCA2LjZMNyA2LjNsLTQuOCA4djUuNWgxNy42VjIuMmgtNHptLTcgMTUuNEg1LjV2LTQuNGgzLjN2NC40em00LjQgMEg5LjhWOS44aDMuNHY3Ljh6bTQuNCAwaC0zLjRWNi41aDMuNHYxMS4xeiIvPgogIDwvZz4KPC9zdmc+Cg==);\n  --jp-icon-word: url(data:image\/svg+xml;base64,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);\n  --jp-icon-yaml: url(data:image\/svg+xml;base64,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);\n}\n\n\/* Icon CSS class declarations *\/\n\n.jp-AddAboveIcon {\n  background-image: var(--jp-icon-add-above);\n}\n\n.jp-AddBelowIcon {\n  background-image: var(--jp-icon-add-below);\n}\n\n.jp-AddIcon {\n  background-image: var(--jp-icon-add);\n}\n\n.jp-BellIcon {\n  background-image: var(--jp-icon-bell);\n}\n\n.jp-BugDotIcon {\n  background-image: var(--jp-icon-bug-dot);\n}\n\n.jp-BugIcon {\n  background-image: var(--jp-icon-bug);\n}\n\n.jp-BuildIcon {\n  background-image: var(--jp-icon-build);\n}\n\n.jp-CaretDownEmptyIcon {\n  background-image: var(--jp-icon-caret-down-empty);\n}\n\n.jp-CaretDownEmptyThinIcon {\n  background-image: var(--jp-icon-caret-down-empty-thin);\n}\n\n.jp-CaretDownIcon {\n  background-image: var(--jp-icon-caret-down);\n}\n\n.jp-CaretLeftIcon {\n  background-image: var(--jp-icon-caret-left);\n}\n\n.jp-CaretRightIcon {\n  background-image: var(--jp-icon-caret-right);\n}\n\n.jp-CaretUpEmptyThinIcon {\n  background-image: var(--jp-icon-caret-up-empty-thin);\n}\n\n.jp-CaretUpIcon {\n  background-image: var(--jp-icon-caret-up);\n}\n\n.jp-CaseSensitiveIcon {\n  background-image: var(--jp-icon-case-sensitive);\n}\n\n.jp-CheckIcon {\n  background-image: var(--jp-icon-check);\n}\n\n.jp-CircleEmptyIcon {\n  background-image: var(--jp-icon-circle-empty);\n}\n\n.jp-CircleIcon {\n  background-image: var(--jp-icon-circle);\n}\n\n.jp-ClearIcon {\n  background-image: var(--jp-icon-clear);\n}\n\n.jp-CloseIcon {\n  background-image: var(--jp-icon-close);\n}\n\n.jp-CodeCheckIcon {\n  background-image: var(--jp-icon-code-check);\n}\n\n.jp-CodeIcon {\n  background-image: var(--jp-icon-code);\n}\n\n.jp-CollapseAllIcon {\n  background-image: var(--jp-icon-collapse-all);\n}\n\n.jp-ConsoleIcon {\n  background-image: var(--jp-icon-console);\n}\n\n.jp-CopyIcon {\n  background-image: var(--jp-icon-copy);\n}\n\n.jp-CopyrightIcon {\n  background-image: var(--jp-icon-copyright);\n}\n\n.jp-CutIcon {\n  background-image: var(--jp-icon-cut);\n}\n\n.jp-DeleteIcon {\n  background-image: var(--jp-icon-delete);\n}\n\n.jp-DownloadIcon {\n  background-image: var(--jp-icon-download);\n}\n\n.jp-DuplicateIcon {\n  background-image: var(--jp-icon-duplicate);\n}\n\n.jp-EditIcon {\n  background-image: var(--jp-icon-edit);\n}\n\n.jp-EllipsesIcon {\n  background-image: var(--jp-icon-ellipses);\n}\n\n.jp-ErrorIcon {\n  background-image: var(--jp-icon-error);\n}\n\n.jp-ExpandAllIcon {\n  background-image: var(--jp-icon-expand-all);\n}\n\n.jp-ExtensionIcon {\n  background-image: var(--jp-icon-extension);\n}\n\n.jp-FastForwardIcon {\n  background-image: var(--jp-icon-fast-forward);\n}\n\n.jp-FileIcon {\n  background-image: var(--jp-icon-file);\n}\n\n.jp-FileUploadIcon {\n  background-image: var(--jp-icon-file-upload);\n}\n\n.jp-FilterDotIcon {\n  background-image: var(--jp-icon-filter-dot);\n}\n\n.jp-FilterIcon {\n  background-image: var(--jp-icon-filter);\n}\n\n.jp-FilterListIcon {\n  background-image: var(--jp-icon-filter-list);\n}\n\n.jp-FolderFavoriteIcon {\n  background-image: var(--jp-icon-folder-favorite);\n}\n\n.jp-FolderIcon {\n  background-image: var(--jp-icon-folder);\n}\n\n.jp-HomeIcon {\n  background-image: var(--jp-icon-home);\n}\n\n.jp-Html5Icon {\n  background-image: var(--jp-icon-html5);\n}\n\n.jp-ImageIcon {\n  background-image: var(--jp-icon-image);\n}\n\n.jp-InfoIcon {\n  background-image: var(--jp-icon-info);\n}\n\n.jp-InspectorIcon {\n  background-image: var(--jp-icon-inspector);\n}\n\n.jp-JsonIcon {\n  background-image: var(--jp-icon-json);\n}\n\n.jp-JuliaIcon {\n  background-image: var(--jp-icon-julia);\n}\n\n.jp-JupyterFaviconIcon {\n  background-image: var(--jp-icon-jupyter-favicon);\n}\n\n.jp-JupyterIcon {\n  background-image: var(--jp-icon-jupyter);\n}\n\n.jp-JupyterlabWordmarkIcon {\n  background-image: var(--jp-icon-jupyterlab-wordmark);\n}\n\n.jp-KernelIcon {\n  background-image: var(--jp-icon-kernel);\n}\n\n.jp-KeyboardIcon {\n  background-image: var(--jp-icon-keyboard);\n}\n\n.jp-LaunchIcon {\n  background-image: var(--jp-icon-launch);\n}\n\n.jp-LauncherIcon {\n  background-image: var(--jp-icon-launcher);\n}\n\n.jp-LineFormIcon {\n  background-image: var(--jp-icon-line-form);\n}\n\n.jp-LinkIcon {\n  background-image: var(--jp-icon-link);\n}\n\n.jp-ListIcon {\n  background-image: var(--jp-icon-list);\n}\n\n.jp-MarkdownIcon {\n  background-image: var(--jp-icon-markdown);\n}\n\n.jp-MoveDownIcon {\n  background-image: var(--jp-icon-move-down);\n}\n\n.jp-MoveUpIcon {\n  background-image: var(--jp-icon-move-up);\n}\n\n.jp-NewFolderIcon {\n  background-image: var(--jp-icon-new-folder);\n}\n\n.jp-NotTrustedIcon {\n  background-image: var(--jp-icon-not-trusted);\n}\n\n.jp-NotebookIcon {\n  background-image: var(--jp-icon-notebook);\n}\n\n.jp-NumberingIcon {\n  background-image: var(--jp-icon-numbering);\n}\n\n.jp-OfflineBoltIcon {\n  background-image: var(--jp-icon-offline-bolt);\n}\n\n.jp-PaletteIcon {\n  background-image: var(--jp-icon-palette);\n}\n\n.jp-PasteIcon {\n  background-image: var(--jp-icon-paste);\n}\n\n.jp-PdfIcon {\n  background-image: var(--jp-icon-pdf);\n}\n\n.jp-PythonIcon {\n  background-image: var(--jp-icon-python);\n}\n\n.jp-RKernelIcon {\n  background-image: var(--jp-icon-r-kernel);\n}\n\n.jp-ReactIcon {\n  background-image: var(--jp-icon-react);\n}\n\n.jp-RedoIcon {\n  background-image: var(--jp-icon-redo);\n}\n\n.jp-RefreshIcon {\n  background-image: var(--jp-icon-refresh);\n}\n\n.jp-RegexIcon {\n  background-image: var(--jp-icon-regex);\n}\n\n.jp-RunIcon {\n  background-image: var(--jp-icon-run);\n}\n\n.jp-RunningIcon {\n  background-image: var(--jp-icon-running);\n}\n\n.jp-SaveIcon {\n  background-image: var(--jp-icon-save);\n}\n\n.jp-SearchIcon {\n  background-image: var(--jp-icon-search);\n}\n\n.jp-SettingsIcon {\n  background-image: var(--jp-icon-settings);\n}\n\n.jp-ShareIcon {\n  background-image: var(--jp-icon-share);\n}\n\n.jp-SpreadsheetIcon {\n  background-image: var(--jp-icon-spreadsheet);\n}\n\n.jp-StopIcon {\n  background-image: var(--jp-icon-stop);\n}\n\n.jp-TabIcon {\n  background-image: var(--jp-icon-tab);\n}\n\n.jp-TableRowsIcon {\n  background-image: var(--jp-icon-table-rows);\n}\n\n.jp-TagIcon {\n  background-image: var(--jp-icon-tag);\n}\n\n.jp-TerminalIcon {\n  background-image: var(--jp-icon-terminal);\n}\n\n.jp-TextEditorIcon {\n  background-image: var(--jp-icon-text-editor);\n}\n\n.jp-TocIcon {\n  background-image: var(--jp-icon-toc);\n}\n\n.jp-TreeViewIcon {\n  background-image: var(--jp-icon-tree-view);\n}\n\n.jp-TrustedIcon {\n  background-image: var(--jp-icon-trusted);\n}\n\n.jp-UndoIcon {\n  background-image: var(--jp-icon-undo);\n}\n\n.jp-UserIcon {\n  background-image: var(--jp-icon-user);\n}\n\n.jp-UsersIcon {\n  background-image: var(--jp-icon-users);\n}\n\n.jp-VegaIcon {\n  background-image: var(--jp-icon-vega);\n}\n\n.jp-WordIcon {\n  background-image: var(--jp-icon-word);\n}\n\n.jp-YamlIcon {\n  background-image: var(--jp-icon-yaml);\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/**\n * (DEPRECATED) Support for consuming icons as CSS background images\n *\/\n\n.jp-Icon,\n.jp-MaterialIcon {\n  background-position: center;\n  background-repeat: no-repeat;\n  background-size: 16px;\n  min-width: 16px;\n  min-height: 16px;\n}\n\n.jp-Icon-cover {\n  background-position: center;\n  background-repeat: no-repeat;\n  background-size: cover;\n}\n\n\/**\n * (DEPRECATED) Support for specific CSS icon sizes\n *\/\n\n.jp-Icon-16 {\n  background-size: 16px;\n  min-width: 16px;\n  min-height: 16px;\n}\n\n.jp-Icon-18 {\n  background-size: 18px;\n  min-width: 18px;\n  min-height: 18px;\n}\n\n.jp-Icon-20 {\n  background-size: 20px;\n  min-width: 20px;\n  min-height: 20px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.lm-TabBar .lm-TabBar-addButton {\n  align-items: center;\n  display: flex;\n  padding: 4px;\n  padding-bottom: 5px;\n  margin-right: 1px;\n  background-color: var(--jp-layout-color2);\n}\n\n.lm-TabBar .lm-TabBar-addButton:hover {\n  background-color: var(--jp-layout-color1);\n}\n\n.lm-DockPanel-tabBar .lm-TabBar-tab {\n  width: var(--jp-private-horizontal-tab-width);\n}\n\n.lm-DockPanel-tabBar .lm-TabBar-content {\n  flex: unset;\n}\n\n.lm-DockPanel-tabBar[data-orientation='horizontal'] {\n  flex: 1 1 auto;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/**\n * Support for icons as inline SVG HTMLElements\n *\/\n\n\/* recolor the primary elements of an icon *\/\n.jp-icon0[fill] {\n  fill: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon1[fill] {\n  fill: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon2[fill] {\n  fill: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon3[fill] {\n  fill: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon4[fill] {\n  fill: var(--jp-inverse-layout-color4);\n}\n\n.jp-icon0[stroke] {\n  stroke: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon1[stroke] {\n  stroke: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon2[stroke] {\n  stroke: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon3[stroke] {\n  stroke: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon4[stroke] {\n  stroke: var(--jp-inverse-layout-color4);\n}\n\n\/* recolor the accent elements of an icon *\/\n.jp-icon-accent0[fill] {\n  fill: var(--jp-layout-color0);\n}\n\n.jp-icon-accent1[fill] {\n  fill: var(--jp-layout-color1);\n}\n\n.jp-icon-accent2[fill] {\n  fill: var(--jp-layout-color2);\n}\n\n.jp-icon-accent3[fill] {\n  fill: var(--jp-layout-color3);\n}\n\n.jp-icon-accent4[fill] {\n  fill: var(--jp-layout-color4);\n}\n\n.jp-icon-accent0[stroke] {\n  stroke: var(--jp-layout-color0);\n}\n\n.jp-icon-accent1[stroke] {\n  stroke: var(--jp-layout-color1);\n}\n\n.jp-icon-accent2[stroke] {\n  stroke: var(--jp-layout-color2);\n}\n\n.jp-icon-accent3[stroke] {\n  stroke: var(--jp-layout-color3);\n}\n\n.jp-icon-accent4[stroke] {\n  stroke: var(--jp-layout-color4);\n}\n\n\/* set the color of an icon to transparent *\/\n.jp-icon-none[fill] {\n  fill: none;\n}\n\n.jp-icon-none[stroke] {\n  stroke: none;\n}\n\n\/* brand icon colors. Same for light and dark *\/\n.jp-icon-brand0[fill] {\n  fill: var(--jp-brand-color0);\n}\n\n.jp-icon-brand1[fill] {\n  fill: var(--jp-brand-color1);\n}\n\n.jp-icon-brand2[fill] {\n  fill: var(--jp-brand-color2);\n}\n\n.jp-icon-brand3[fill] {\n  fill: var(--jp-brand-color3);\n}\n\n.jp-icon-brand4[fill] {\n  fill: var(--jp-brand-color4);\n}\n\n.jp-icon-brand0[stroke] {\n  stroke: var(--jp-brand-color0);\n}\n\n.jp-icon-brand1[stroke] {\n  stroke: var(--jp-brand-color1);\n}\n\n.jp-icon-brand2[stroke] {\n  stroke: var(--jp-brand-color2);\n}\n\n.jp-icon-brand3[stroke] {\n  stroke: var(--jp-brand-color3);\n}\n\n.jp-icon-brand4[stroke] {\n  stroke: var(--jp-brand-color4);\n}\n\n\/* warn icon colors. Same for light and dark *\/\n.jp-icon-warn0[fill] {\n  fill: var(--jp-warn-color0);\n}\n\n.jp-icon-warn1[fill] {\n  fill: var(--jp-warn-color1);\n}\n\n.jp-icon-warn2[fill] {\n  fill: var(--jp-warn-color2);\n}\n\n.jp-icon-warn3[fill] {\n  fill: var(--jp-warn-color3);\n}\n\n.jp-icon-warn0[stroke] {\n  stroke: var(--jp-warn-color0);\n}\n\n.jp-icon-warn1[stroke] {\n  stroke: var(--jp-warn-color1);\n}\n\n.jp-icon-warn2[stroke] {\n  stroke: var(--jp-warn-color2);\n}\n\n.jp-icon-warn3[stroke] {\n  stroke: var(--jp-warn-color3);\n}\n\n\/* icon colors that contrast well with each other and most backgrounds *\/\n.jp-icon-contrast0[fill] {\n  fill: var(--jp-icon-contrast-color0);\n}\n\n.jp-icon-contrast1[fill] {\n  fill: var(--jp-icon-contrast-color1);\n}\n\n.jp-icon-contrast2[fill] {\n  fill: var(--jp-icon-contrast-color2);\n}\n\n.jp-icon-contrast3[fill] {\n  fill: var(--jp-icon-contrast-color3);\n}\n\n.jp-icon-contrast0[stroke] {\n  stroke: var(--jp-icon-contrast-color0);\n}\n\n.jp-icon-contrast1[stroke] {\n  stroke: var(--jp-icon-contrast-color1);\n}\n\n.jp-icon-contrast2[stroke] {\n  stroke: var(--jp-icon-contrast-color2);\n}\n\n.jp-icon-contrast3[stroke] {\n  stroke: var(--jp-icon-contrast-color3);\n}\n\n.jp-icon-dot[fill] {\n  fill: var(--jp-warn-color0);\n}\n\n.jp-jupyter-icon-color[fill] {\n  fill: var(--jp-jupyter-icon-color, var(--jp-warn-color0));\n}\n\n.jp-notebook-icon-color[fill] {\n  fill: var(--jp-notebook-icon-color, var(--jp-warn-color0));\n}\n\n.jp-json-icon-color[fill] {\n  fill: var(--jp-json-icon-color, var(--jp-warn-color1));\n}\n\n.jp-console-icon-color[fill] {\n  fill: var(--jp-console-icon-color, white);\n}\n\n.jp-console-icon-background-color[fill] {\n  fill: var(--jp-console-icon-background-color, var(--jp-brand-color1));\n}\n\n.jp-terminal-icon-color[fill] {\n  fill: var(--jp-terminal-icon-color, var(--jp-layout-color2));\n}\n\n.jp-terminal-icon-background-color[fill] {\n  fill: var(\n    --jp-terminal-icon-background-color,\n    var(--jp-inverse-layout-color2)\n  );\n}\n\n.jp-text-editor-icon-color[fill] {\n  fill: var(--jp-text-editor-icon-color, var(--jp-inverse-layout-color3));\n}\n\n.jp-inspector-icon-color[fill] {\n  fill: var(--jp-inspector-icon-color, var(--jp-inverse-layout-color3));\n}\n\n\/* CSS for icons in selected filebrowser listing items *\/\n.jp-DirListing-item.jp-mod-selected .jp-icon-selectable[fill] {\n  fill: #fff;\n}\n\n.jp-DirListing-item.jp-mod-selected .jp-icon-selectable-inverse[fill] {\n  fill: var(--jp-brand-color1);\n}\n\n\/* stylelint-disable selector-max-class, selector-max-compound-selectors *\/\n\n\/**\n* TODO: come up with non css-hack solution for showing the busy icon on top\n*  of the close icon\n* CSS for complex behavior of close icon of tabs in the main area tabbar\n*\/\n.lm-DockPanel-tabBar\n  .lm-TabBar-tab.lm-mod-closable.jp-mod-dirty\n  > .lm-TabBar-tabCloseIcon\n  > :not(:hover)\n  > .jp-icon3[fill] {\n  fill: none;\n}\n\n.lm-DockPanel-tabBar\n  .lm-TabBar-tab.lm-mod-closable.jp-mod-dirty\n  > .lm-TabBar-tabCloseIcon\n  > :not(:hover)\n  > .jp-icon-busy[fill] {\n  fill: var(--jp-inverse-layout-color3);\n}\n\n\/* stylelint-enable selector-max-class, selector-max-compound-selectors *\/\n\n\/* CSS for icons in status bar *\/\n#jp-main-statusbar .jp-mod-selected .jp-icon-selectable[fill] {\n  fill: #fff;\n}\n\n#jp-main-statusbar .jp-mod-selected .jp-icon-selectable-inverse[fill] {\n  fill: var(--jp-brand-color1);\n}\n\n\/* special handling for splash icon CSS. While the theme CSS reloads during\n   splash, the splash icon can loose theming. To prevent that, we set a\n   default for its color variable *\/\n:root {\n  --jp-warn-color0: var(--md-orange-700);\n}\n\n\/* not sure what to do with this one, used in filebrowser listing *\/\n.jp-DragIcon {\n  margin-right: 4px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/**\n * Support for alt colors for icons as inline SVG HTMLElements\n *\/\n\n\/* alt recolor the primary elements of an icon *\/\n.jp-icon-alt .jp-icon0[fill] {\n  fill: var(--jp-layout-color0);\n}\n\n.jp-icon-alt .jp-icon1[fill] {\n  fill: var(--jp-layout-color1);\n}\n\n.jp-icon-alt .jp-icon2[fill] {\n  fill: var(--jp-layout-color2);\n}\n\n.jp-icon-alt .jp-icon3[fill] {\n  fill: var(--jp-layout-color3);\n}\n\n.jp-icon-alt .jp-icon4[fill] {\n  fill: var(--jp-layout-color4);\n}\n\n.jp-icon-alt .jp-icon0[stroke] {\n  stroke: var(--jp-layout-color0);\n}\n\n.jp-icon-alt .jp-icon1[stroke] {\n  stroke: var(--jp-layout-color1);\n}\n\n.jp-icon-alt .jp-icon2[stroke] {\n  stroke: var(--jp-layout-color2);\n}\n\n.jp-icon-alt .jp-icon3[stroke] {\n  stroke: var(--jp-layout-color3);\n}\n\n.jp-icon-alt .jp-icon4[stroke] {\n  stroke: var(--jp-layout-color4);\n}\n\n\/* alt recolor the accent elements of an icon *\/\n.jp-icon-alt .jp-icon-accent0[fill] {\n  fill: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon-alt .jp-icon-accent1[fill] {\n  fill: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon-alt .jp-icon-accent2[fill] {\n  fill: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon-alt .jp-icon-accent3[fill] {\n  fill: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon-alt .jp-icon-accent4[fill] {\n  fill: var(--jp-inverse-layout-color4);\n}\n\n.jp-icon-alt .jp-icon-accent0[stroke] {\n  stroke: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon-alt .jp-icon-accent1[stroke] {\n  stroke: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon-alt .jp-icon-accent2[stroke] {\n  stroke: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon-alt .jp-icon-accent3[stroke] {\n  stroke: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon-alt .jp-icon-accent4[stroke] {\n  stroke: var(--jp-inverse-layout-color4);\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-icon-hoverShow:not(:hover) .jp-icon-hoverShow-content {\n  display: none !important;\n}\n\n\/**\n * Support for hover colors for icons as inline SVG HTMLElements\n *\/\n\n\/**\n * regular colors\n *\/\n\n\/* recolor the primary elements of an icon *\/\n.jp-icon-hover :hover .jp-icon0-hover[fill] {\n  fill: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon-hover :hover .jp-icon1-hover[fill] {\n  fill: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon-hover :hover .jp-icon2-hover[fill] {\n  fill: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon-hover :hover .jp-icon3-hover[fill] {\n  fill: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon-hover :hover .jp-icon4-hover[fill] {\n  fill: var(--jp-inverse-layout-color4);\n}\n\n.jp-icon-hover :hover .jp-icon0-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon-hover :hover .jp-icon1-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon-hover :hover .jp-icon2-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon-hover :hover .jp-icon3-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon-hover :hover .jp-icon4-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color4);\n}\n\n\/* recolor the accent elements of an icon *\/\n.jp-icon-hover :hover .jp-icon-accent0-hover[fill] {\n  fill: var(--jp-layout-color0);\n}\n\n.jp-icon-hover :hover .jp-icon-accent1-hover[fill] {\n  fill: var(--jp-layout-color1);\n}\n\n.jp-icon-hover :hover .jp-icon-accent2-hover[fill] {\n  fill: var(--jp-layout-color2);\n}\n\n.jp-icon-hover :hover .jp-icon-accent3-hover[fill] {\n  fill: var(--jp-layout-color3);\n}\n\n.jp-icon-hover :hover .jp-icon-accent4-hover[fill] {\n  fill: var(--jp-layout-color4);\n}\n\n.jp-icon-hover :hover .jp-icon-accent0-hover[stroke] {\n  stroke: var(--jp-layout-color0);\n}\n\n.jp-icon-hover :hover .jp-icon-accent1-hover[stroke] {\n  stroke: var(--jp-layout-color1);\n}\n\n.jp-icon-hover :hover .jp-icon-accent2-hover[stroke] {\n  stroke: var(--jp-layout-color2);\n}\n\n.jp-icon-hover :hover .jp-icon-accent3-hover[stroke] {\n  stroke: var(--jp-layout-color3);\n}\n\n.jp-icon-hover :hover .jp-icon-accent4-hover[stroke] {\n  stroke: var(--jp-layout-color4);\n}\n\n\/* set the color of an icon to transparent *\/\n.jp-icon-hover :hover .jp-icon-none-hover[fill] {\n  fill: none;\n}\n\n.jp-icon-hover :hover .jp-icon-none-hover[stroke] {\n  stroke: none;\n}\n\n\/**\n * inverse colors\n *\/\n\n\/* inverse recolor the primary elements of an icon *\/\n.jp-icon-hover.jp-icon-alt :hover .jp-icon0-hover[fill] {\n  fill: var(--jp-layout-color0);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon1-hover[fill] {\n  fill: var(--jp-layout-color1);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon2-hover[fill] {\n  fill: var(--jp-layout-color2);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon3-hover[fill] {\n  fill: var(--jp-layout-color3);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon4-hover[fill] {\n  fill: var(--jp-layout-color4);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon0-hover[stroke] {\n  stroke: var(--jp-layout-color0);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon1-hover[stroke] {\n  stroke: var(--jp-layout-color1);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon2-hover[stroke] {\n  stroke: var(--jp-layout-color2);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon3-hover[stroke] {\n  stroke: var(--jp-layout-color3);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon4-hover[stroke] {\n  stroke: var(--jp-layout-color4);\n}\n\n\/* inverse recolor the accent elements of an icon *\/\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent0-hover[fill] {\n  fill: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent1-hover[fill] {\n  fill: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent2-hover[fill] {\n  fill: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent3-hover[fill] {\n  fill: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent4-hover[fill] {\n  fill: var(--jp-inverse-layout-color4);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent0-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent1-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent2-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent3-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent4-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color4);\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-IFrame {\n  width: 100%;\n  height: 100%;\n}\n\n.jp-IFrame > iframe {\n  border: none;\n}\n\n\/*\nWhen drag events occur, `lm-mod-override-cursor` is added to the body.\nBecause iframes steal all cursor events, the following two rules are necessary\nto suppress pointer events while resize drags are occurring. There may be a\nbetter solution to this problem.\n*\/\nbody.lm-mod-override-cursor .jp-IFrame {\n  position: relative;\n}\n\nbody.lm-mod-override-cursor .jp-IFrame::before {\n  content: '';\n  position: absolute;\n  top: 0;\n  left: 0;\n  right: 0;\n  bottom: 0;\n  background: transparent;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2014-2016, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-HoverBox {\n  position: fixed;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-FormGroup-content fieldset {\n  border: none;\n  padding: 0;\n  min-width: 0;\n  width: 100%;\n}\n\n\/* stylelint-disable selector-max-type *\/\n\n.jp-FormGroup-content fieldset .jp-inputFieldWrapper input,\n.jp-FormGroup-content fieldset .jp-inputFieldWrapper select,\n.jp-FormGroup-content fieldset .jp-inputFieldWrapper textarea {\n  font-size: var(--jp-content-font-size2);\n  border-color: var(--jp-input-border-color);\n  border-style: solid;\n  border-radius: var(--jp-border-radius);\n  border-width: 1px;\n  padding: 6px 8px;\n  background: none;\n  color: var(--jp-ui-font-color0);\n  height: inherit;\n}\n\n.jp-FormGroup-content fieldset input[type='checkbox'] {\n  position: relative;\n  top: 2px;\n  margin-left: 0;\n}\n\n.jp-FormGroup-content button.jp-mod-styled {\n  cursor: pointer;\n}\n\n.jp-FormGroup-content .checkbox label {\n  cursor: pointer;\n  font-size: var(--jp-content-font-size1);\n}\n\n.jp-FormGroup-content .jp-root > fieldset > legend {\n  display: none;\n}\n\n.jp-FormGroup-content .jp-root > fieldset > p {\n  display: none;\n}\n\n\/** copy of `input.jp-mod-styled:focus` style *\/\n.jp-FormGroup-content fieldset input:focus,\n.jp-FormGroup-content fieldset select:focus {\n  -moz-outline-radius: unset;\n  outline: var(--jp-border-width) solid var(--md-blue-500);\n  outline-offset: -1px;\n  box-shadow: inset 0 0 4px var(--md-blue-300);\n}\n\n.jp-FormGroup-content fieldset input:hover:not(:focus),\n.jp-FormGroup-content fieldset select:hover:not(:focus) {\n  background-color: var(--jp-border-color2);\n}\n\n\/* stylelint-enable selector-max-type *\/\n\n.jp-FormGroup-content .checkbox .field-description {\n  \/* Disable default description field for checkbox:\n   because other widgets do not have description fields,\n   we add descriptions to each widget on the field level.\n  *\/\n  display: none;\n}\n\n.jp-FormGroup-content #root__description {\n  display: none;\n}\n\n.jp-FormGroup-content .jp-modifiedIndicator {\n  width: 5px;\n  background-color: var(--jp-brand-color2);\n  margin-top: 0;\n  margin-left: calc(var(--jp-private-settingeditor-modifier-indent) * -1);\n  flex-shrink: 0;\n}\n\n.jp-FormGroup-content .jp-modifiedIndicator.jp-errorIndicator {\n  background-color: var(--jp-error-color0);\n  margin-right: 0.5em;\n}\n\n\/* RJSF ARRAY style *\/\n\n.jp-arrayFieldWrapper legend {\n  font-size: var(--jp-content-font-size2);\n  color: var(--jp-ui-font-color0);\n  flex-basis: 100%;\n  padding: 4px 0;\n  font-weight: var(--jp-content-heading-font-weight);\n  border-bottom: 1px solid var(--jp-border-color2);\n}\n\n.jp-arrayFieldWrapper .field-description {\n  padding: 4px 0;\n  white-space: pre-wrap;\n}\n\n.jp-arrayFieldWrapper .array-item {\n  width: 100%;\n  border: 1px solid var(--jp-border-color2);\n  border-radius: 4px;\n  margin: 4px;\n}\n\n.jp-ArrayOperations {\n  display: flex;\n  margin-left: 8px;\n}\n\n.jp-ArrayOperationsButton {\n  margin: 2px;\n}\n\n.jp-ArrayOperationsButton .jp-icon3[fill] {\n  fill: var(--jp-ui-font-color0);\n}\n\nbutton.jp-ArrayOperationsButton.jp-mod-styled:disabled {\n  cursor: not-allowed;\n  opacity: 0.5;\n}\n\n\/* RJSF form validation error *\/\n\n.jp-FormGroup-content .validationErrors {\n  color: var(--jp-error-color0);\n}\n\n\/* Hide panel level error as duplicated the field level error *\/\n.jp-FormGroup-content .panel.errors {\n  display: none;\n}\n\n\/* RJSF normal content (settings-editor) *\/\n\n.jp-FormGroup-contentNormal {\n  display: flex;\n  align-items: center;\n  flex-wrap: wrap;\n}\n\n.jp-FormGroup-contentNormal .jp-FormGroup-contentItem {\n  margin-left: 7px;\n  color: var(--jp-ui-font-color0);\n}\n\n.jp-FormGroup-contentNormal .jp-FormGroup-description {\n  flex-basis: 100%;\n  padding: 4px 7px;\n}\n\n.jp-FormGroup-contentNormal .jp-FormGroup-default {\n  flex-basis: 100%;\n  padding: 4px 7px;\n}\n\n.jp-FormGroup-contentNormal .jp-FormGroup-fieldLabel {\n  font-size: var(--jp-content-font-size1);\n  font-weight: normal;\n  min-width: 120px;\n}\n\n.jp-FormGroup-contentNormal fieldset:not(:first-child) {\n  margin-left: 7px;\n}\n\n.jp-FormGroup-contentNormal .field-array-of-string .array-item {\n  \/* Display `jp-ArrayOperations` buttons side-by-side with content except\n    for small screens where flex-wrap will place them one below the other.\n  *\/\n  display: flex;\n  align-items: center;\n  flex-wrap: wrap;\n}\n\n.jp-FormGroup-contentNormal .jp-objectFieldWrapper .form-group {\n  padding: 2px 8px 2px var(--jp-private-settingeditor-modifier-indent);\n  margin-top: 2px;\n}\n\n\/* RJSF compact content (metadata-form) *\/\n\n.jp-FormGroup-content.jp-FormGroup-contentCompact {\n  width: 100%;\n}\n\n.jp-FormGroup-contentCompact .form-group {\n  display: flex;\n  padding: 0.5em 0.2em 0.5em 0;\n}\n\n.jp-FormGroup-contentCompact\n  .jp-FormGroup-compactTitle\n  .jp-FormGroup-description {\n  font-size: var(--jp-ui-font-size1);\n  color: var(--jp-ui-font-color2);\n}\n\n.jp-FormGroup-contentCompact .jp-FormGroup-fieldLabel {\n  padding-bottom: 0.3em;\n}\n\n.jp-FormGroup-contentCompact .jp-inputFieldWrapper .form-control {\n  width: 100%;\n  box-sizing: border-box;\n}\n\n.jp-FormGroup-contentCompact .jp-arrayFieldWrapper .jp-FormGroup-compactTitle {\n  padding-bottom: 7px;\n}\n\n.jp-FormGroup-contentCompact\n  .jp-objectFieldWrapper\n  .jp-objectFieldWrapper\n  .form-group {\n  padding: 2px 8px 2px var(--jp-private-settingeditor-modifier-indent);\n  margin-top: 2px;\n}\n\n.jp-FormGroup-contentCompact ul.error-detail {\n  margin-block-start: 0.5em;\n  margin-block-end: 0.5em;\n  padding-inline-start: 1em;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n.jp-SidePanel {\n  display: flex;\n  flex-direction: column;\n  min-width: var(--jp-sidebar-min-width);\n  overflow-y: auto;\n  color: var(--jp-ui-font-color1);\n  background: var(--jp-layout-color1);\n  font-size: var(--jp-ui-font-size1);\n}\n\n.jp-SidePanel-header {\n  flex: 0 0 auto;\n  display: flex;\n  border-bottom: var(--jp-border-width) solid var(--jp-border-color2);\n  font-size: var(--jp-ui-font-size0);\n  font-weight: 600;\n  letter-spacing: 1px;\n  margin: 0;\n  padding: 2px;\n  text-transform: uppercase;\n}\n\n.jp-SidePanel-toolbar {\n  flex: 0 0 auto;\n}\n\n.jp-SidePanel-content {\n  flex: 1 1 auto;\n}\n\n.jp-SidePanel-toolbar,\n.jp-AccordionPanel-toolbar {\n  height: var(--jp-private-toolbar-height);\n}\n\n.jp-SidePanel-toolbar.jp-Toolbar-micro {\n  display: none;\n}\n\n.lm-AccordionPanel .jp-AccordionPanel-title {\n  box-sizing: border-box;\n  line-height: 25px;\n  margin: 0;\n  display: flex;\n  align-items: center;\n  background: var(--jp-layout-color1);\n  color: var(--jp-ui-font-color1);\n  border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color);\n  box-shadow: var(--jp-toolbar-box-shadow);\n  font-size: var(--jp-ui-font-size0);\n}\n\n.jp-AccordionPanel-title {\n  cursor: pointer;\n  user-select: none;\n  -moz-user-select: none;\n  -webkit-user-select: none;\n  text-transform: uppercase;\n}\n\n.lm-AccordionPanel[data-orientation='horizontal'] > .jp-AccordionPanel-title {\n  \/* Title is rotated for horizontal accordion panel using CSS *\/\n  display: block;\n  transform-origin: top left;\n  transform: rotate(-90deg) translate(-100%);\n}\n\n.jp-AccordionPanel-title .lm-AccordionPanel-titleLabel {\n  user-select: none;\n  text-overflow: ellipsis;\n  white-space: nowrap;\n  overflow: hidden;\n}\n\n.jp-AccordionPanel-title .lm-AccordionPanel-titleCollapser {\n  transform: rotate(-90deg);\n  margin: auto 0;\n  height: 16px;\n}\n\n.jp-AccordionPanel-title.lm-mod-expanded .lm-AccordionPanel-titleCollapser {\n  transform: rotate(0deg);\n}\n\n.lm-AccordionPanel .jp-AccordionPanel-toolbar {\n  background: none;\n  box-shadow: none;\n  border: none;\n  margin-left: auto;\n}\n\n.lm-AccordionPanel .lm-SplitPanel-handle:hover {\n  background: var(--jp-layout-color3);\n}\n\n.jp-text-truncated {\n  overflow: hidden;\n  text-overflow: ellipsis;\n  white-space: nowrap;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2017, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-Spinner {\n  position: absolute;\n  display: flex;\n  justify-content: center;\n  align-items: center;\n  z-index: 10;\n  left: 0;\n  top: 0;\n  width: 100%;\n  height: 100%;\n  background: var(--jp-layout-color0);\n  outline: none;\n}\n\n.jp-SpinnerContent {\n  font-size: 10px;\n  margin: 50px auto;\n  text-indent: -9999em;\n  width: 3em;\n  height: 3em;\n  border-radius: 50%;\n  background: var(--jp-brand-color3);\n  background: linear-gradient(\n    to right,\n    #f37626 10%,\n    rgba(255, 255, 255, 0) 42%\n  );\n  position: relative;\n  animation: load3 1s infinite linear, fadeIn 1s;\n}\n\n.jp-SpinnerContent::before {\n  width: 50%;\n  height: 50%;\n  background: #f37626;\n  border-radius: 100% 0 0;\n  position: absolute;\n  top: 0;\n  left: 0;\n  content: '';\n}\n\n.jp-SpinnerContent::after {\n  background: var(--jp-layout-color0);\n  width: 75%;\n  height: 75%;\n  border-radius: 50%;\n  content: '';\n  margin: auto;\n  position: absolute;\n  top: 0;\n  left: 0;\n  bottom: 0;\n  right: 0;\n}\n\n@keyframes fadeIn {\n  0% {\n    opacity: 0;\n  }\n\n  100% {\n    opacity: 1;\n  }\n}\n\n@keyframes load3 {\n  0% {\n    transform: rotate(0deg);\n  }\n\n  100% {\n    transform: rotate(360deg);\n  }\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2014-2017, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\nbutton.jp-mod-styled {\n  font-size: var(--jp-ui-font-size1);\n  color: var(--jp-ui-font-color0);\n  border: none;\n  box-sizing: border-box;\n  text-align: center;\n  line-height: 32px;\n  height: 32px;\n  padding: 0 12px;\n  letter-spacing: 0.8px;\n  outline: none;\n  appearance: none;\n  -webkit-appearance: none;\n  -moz-appearance: none;\n}\n\ninput.jp-mod-styled {\n  background: var(--jp-input-background);\n  height: 28px;\n  box-sizing: border-box;\n  border: var(--jp-border-width) solid var(--jp-border-color1);\n  padding-left: 7px;\n  padding-right: 7px;\n  font-size: var(--jp-ui-font-size2);\n  color: var(--jp-ui-font-color0);\n  outline: none;\n  appearance: none;\n  -webkit-appearance: none;\n  -moz-appearance: none;\n}\n\ninput[type='checkbox'].jp-mod-styled {\n  appearance: checkbox;\n  -webkit-appearance: checkbox;\n  -moz-appearance: checkbox;\n  height: auto;\n}\n\ninput.jp-mod-styled:focus {\n  border: var(--jp-border-width) solid var(--md-blue-500);\n  box-shadow: inset 0 0 4px var(--md-blue-300);\n}\n\n.jp-select-wrapper {\n  display: flex;\n  position: relative;\n  flex-direction: column;\n  padding: 1px;\n  background-color: var(--jp-layout-color1);\n  box-sizing: border-box;\n  margin-bottom: 12px;\n}\n\n.jp-select-wrapper:not(.multiple) {\n  height: 28px;\n}\n\n.jp-select-wrapper.jp-mod-focused select.jp-mod-styled {\n  border: var(--jp-border-width) solid var(--jp-input-active-border-color);\n  box-shadow: var(--jp-input-box-shadow);\n  background-color: var(--jp-input-active-background);\n}\n\nselect.jp-mod-styled:hover {\n  cursor: pointer;\n  color: var(--jp-ui-font-color0);\n  background-color: var(--jp-input-hover-background);\n  box-shadow: inset 0 0 1px rgba(0, 0, 0, 0.5);\n}\n\nselect.jp-mod-styled {\n  flex: 1 1 auto;\n  width: 100%;\n  font-size: var(--jp-ui-font-size2);\n  background: var(--jp-input-background);\n  color: var(--jp-ui-font-color0);\n  padding: 0 25px 0 8px;\n  border: var(--jp-border-width) solid var(--jp-input-border-color);\n  border-radius: 0;\n  outline: none;\n  appearance: none;\n  -webkit-appearance: none;\n  -moz-appearance: none;\n}\n\nselect.jp-mod-styled:not([multiple]) {\n  height: 32px;\n}\n\nselect.jp-mod-styled[multiple] {\n  max-height: 200px;\n  overflow-y: auto;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-switch {\n  display: flex;\n  align-items: center;\n  padding-left: 4px;\n  padding-right: 4px;\n  font-size: var(--jp-ui-font-size1);\n  background-color: transparent;\n  color: var(--jp-ui-font-color1);\n  border: none;\n  height: 20px;\n}\n\n.jp-switch:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-switch-label {\n  margin-right: 5px;\n  font-family: var(--jp-ui-font-family);\n}\n\n.jp-switch-track {\n  cursor: pointer;\n  background-color: var(--jp-switch-color, var(--jp-border-color1));\n  -webkit-transition: 0.4s;\n  transition: 0.4s;\n  border-radius: 34px;\n  height: 16px;\n  width: 35px;\n  position: relative;\n}\n\n.jp-switch-track::before {\n  content: '';\n  position: absolute;\n  height: 10px;\n  width: 10px;\n  margin: 3px;\n  left: 0;\n  background-color: var(--jp-ui-inverse-font-color1);\n  -webkit-transition: 0.4s;\n  transition: 0.4s;\n  border-radius: 50%;\n}\n\n.jp-switch[aria-checked='true'] .jp-switch-track {\n  background-color: var(--jp-switch-true-position-color, var(--jp-warn-color0));\n}\n\n.jp-switch[aria-checked='true'] .jp-switch-track::before {\n  \/* track width (35) - margins (3 + 3) - thumb width (10) *\/\n  left: 19px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2014-2016, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n:root {\n  --jp-private-toolbar-height: calc(\n    28px + var(--jp-border-width)\n  ); \/* leave 28px for content *\/\n}\n\n.jp-Toolbar {\n  color: var(--jp-ui-font-color1);\n  flex: 0 0 auto;\n  display: flex;\n  flex-direction: row;\n  border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color);\n  box-shadow: var(--jp-toolbar-box-shadow);\n  background: var(--jp-toolbar-background);\n  min-height: var(--jp-toolbar-micro-height);\n  padding: 2px;\n  z-index: 8;\n  overflow-x: hidden;\n}\n\n\/* Toolbar items *\/\n\n.jp-Toolbar > .jp-Toolbar-item.jp-Toolbar-spacer {\n  flex-grow: 1;\n  flex-shrink: 1;\n}\n\n.jp-Toolbar-item.jp-Toolbar-kernelStatus {\n  display: inline-block;\n  width: 32px;\n  background-repeat: no-repeat;\n  background-position: center;\n  background-size: 16px;\n}\n\n.jp-Toolbar > .jp-Toolbar-item {\n  flex: 0 0 auto;\n  display: flex;\n  padding-left: 1px;\n  padding-right: 1px;\n  font-size: var(--jp-ui-font-size1);\n  line-height: var(--jp-private-toolbar-height);\n  height: 100%;\n}\n\n\/* Toolbar buttons *\/\n\n\/* This is the div we use to wrap the react component into a Widget *\/\ndiv.jp-ToolbarButton {\n  color: transparent;\n  border: none;\n  box-sizing: border-box;\n  outline: none;\n  appearance: none;\n  -webkit-appearance: none;\n  -moz-appearance: none;\n  padding: 0;\n  margin: 0;\n}\n\nbutton.jp-ToolbarButtonComponent {\n  background: var(--jp-layout-color1);\n  border: none;\n  box-sizing: border-box;\n  outline: none;\n  appearance: none;\n  -webkit-appearance: none;\n  -moz-appearance: none;\n  padding: 0 6px;\n  margin: 0;\n  height: 24px;\n  border-radius: var(--jp-border-radius);\n  display: flex;\n  align-items: center;\n  text-align: center;\n  font-size: 14px;\n  min-width: unset;\n  min-height: unset;\n}\n\nbutton.jp-ToolbarButtonComponent:disabled {\n  opacity: 0.4;\n}\n\nbutton.jp-ToolbarButtonComponent > span {\n  padding: 0;\n  flex: 0 0 auto;\n}\n\nbutton.jp-ToolbarButtonComponent .jp-ToolbarButtonComponent-label {\n  font-size: var(--jp-ui-font-size1);\n  line-height: 100%;\n  padding-left: 2px;\n  color: var(--jp-ui-font-color1);\n  font-family: var(--jp-ui-font-family);\n}\n\n#jp-main-dock-panel[data-mode='single-document']\n  .jp-MainAreaWidget\n  > .jp-Toolbar.jp-Toolbar-micro {\n  padding: 0;\n  min-height: 0;\n}\n\n#jp-main-dock-panel[data-mode='single-document']\n  .jp-MainAreaWidget\n  > .jp-Toolbar {\n  border: none;\n  box-shadow: none;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n.jp-WindowedPanel-outer {\n  position: relative;\n  overflow-y: auto;\n}\n\n.jp-WindowedPanel-inner {\n  position: relative;\n}\n\n.jp-WindowedPanel-window {\n  position: absolute;\n  left: 0;\n  right: 0;\n  overflow: visible;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/* Sibling imports *\/\n\nbody {\n  color: var(--jp-ui-font-color1);\n  font-size: var(--jp-ui-font-size1);\n}\n\n\/* Disable native link decoration styles everywhere outside of dialog boxes *\/\na {\n  text-decoration: unset;\n  color: unset;\n}\n\na:hover {\n  text-decoration: unset;\n  color: unset;\n}\n\n\/* Accessibility for links inside dialog box text *\/\n.jp-Dialog-content a {\n  text-decoration: revert;\n  color: var(--jp-content-link-color);\n}\n\n.jp-Dialog-content a:hover {\n  text-decoration: revert;\n}\n\n\/* Styles for ui-components *\/\n.jp-Button {\n  color: var(--jp-ui-font-color2);\n  border-radius: var(--jp-border-radius);\n  padding: 0 12px;\n  font-size: var(--jp-ui-font-size1);\n\n  \/* Copy from blueprint 3 *\/\n  display: inline-flex;\n  flex-direction: row;\n  border: none;\n  cursor: pointer;\n  align-items: center;\n  justify-content: center;\n  text-align: left;\n  vertical-align: middle;\n  min-height: 30px;\n  min-width: 30px;\n}\n\n.jp-Button:disabled {\n  cursor: not-allowed;\n}\n\n.jp-Button:empty {\n  padding: 0 !important;\n}\n\n.jp-Button.jp-mod-small {\n  min-height: 24px;\n  min-width: 24px;\n  font-size: 12px;\n  padding: 0 7px;\n}\n\n\/* Use our own theme for hover styles *\/\n.jp-Button.jp-mod-minimal:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-Button.jp-mod-minimal {\n  background: none;\n}\n\n.jp-InputGroup {\n  display: block;\n  position: relative;\n}\n\n.jp-InputGroup input {\n  box-sizing: border-box;\n  border: none;\n  border-radius: 0;\n  background-color: transparent;\n  color: var(--jp-ui-font-color0);\n  box-shadow: inset 0 0 0 var(--jp-border-width) var(--jp-input-border-color);\n  padding-bottom: 0;\n  padding-top: 0;\n  padding-left: 10px;\n  padding-right: 28px;\n  position: relative;\n  width: 100%;\n  -webkit-appearance: none;\n  -moz-appearance: none;\n  appearance: none;\n  font-size: 14px;\n  font-weight: 400;\n  height: 30px;\n  line-height: 30px;\n  outline: none;\n  vertical-align: middle;\n}\n\n.jp-InputGroup input:focus {\n  box-shadow: inset 0 0 0 var(--jp-border-width)\n      var(--jp-input-active-box-shadow-color),\n    inset 0 0 0 3px var(--jp-input-active-box-shadow-color);\n}\n\n.jp-InputGroup input:disabled {\n  cursor: not-allowed;\n  resize: block;\n  background-color: var(--jp-layout-color2);\n  color: var(--jp-ui-font-color2);\n}\n\n.jp-InputGroup input:disabled ~ span {\n  cursor: not-allowed;\n  color: var(--jp-ui-font-color2);\n}\n\n.jp-InputGroup input::placeholder,\ninput::placeholder {\n  color: var(--jp-ui-font-color2);\n}\n\n.jp-InputGroupAction {\n  position: absolute;\n  bottom: 1px;\n  right: 0;\n  padding: 6px;\n}\n\n.jp-HTMLSelect.jp-DefaultStyle select {\n  background-color: initial;\n  border: none;\n  border-radius: 0;\n  box-shadow: none;\n  color: var(--jp-ui-font-color0);\n  display: block;\n  font-size: var(--jp-ui-font-size1);\n  font-family: var(--jp-ui-font-family);\n  height: 24px;\n  line-height: 14px;\n  padding: 0 25px 0 10px;\n  text-align: left;\n  -moz-appearance: none;\n  -webkit-appearance: none;\n}\n\n.jp-HTMLSelect.jp-DefaultStyle select:disabled {\n  background-color: var(--jp-layout-color2);\n  color: var(--jp-ui-font-color2);\n  cursor: not-allowed;\n  resize: block;\n}\n\n.jp-HTMLSelect.jp-DefaultStyle select:disabled ~ span {\n  cursor: not-allowed;\n}\n\n\/* Use our own theme for hover and option styles *\/\n\/* stylelint-disable-next-line selector-max-type *\/\n.jp-HTMLSelect.jp-DefaultStyle select:hover,\n.jp-HTMLSelect.jp-DefaultStyle select > option {\n  background-color: var(--jp-layout-color2);\n  color: var(--jp-ui-font-color0);\n}\n\nselect {\n  box-sizing: border-box;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Styles\n|----------------------------------------------------------------------------*\/\n\n.jp-StatusBar-Widget {\n  display: flex;\n  align-items: center;\n  background: var(--jp-layout-color2);\n  min-height: var(--jp-statusbar-height);\n  justify-content: space-between;\n  padding: 0 10px;\n}\n\n.jp-StatusBar-Left {\n  display: flex;\n  align-items: center;\n  flex-direction: row;\n}\n\n.jp-StatusBar-Middle {\n  display: flex;\n  align-items: center;\n}\n\n.jp-StatusBar-Right {\n  display: flex;\n  align-items: center;\n  flex-direction: row-reverse;\n}\n\n.jp-StatusBar-Item {\n  max-height: var(--jp-statusbar-height);\n  margin: 0 2px;\n  height: var(--jp-statusbar-height);\n  white-space: nowrap;\n  text-overflow: ellipsis;\n  color: var(--jp-ui-font-color1);\n  padding: 0 6px;\n}\n\n.jp-mod-highlighted:hover {\n  background-color: var(--jp-layout-color3);\n}\n\n.jp-mod-clicked {\n  background-color: var(--jp-brand-color1);\n}\n\n.jp-mod-clicked:hover {\n  background-color: var(--jp-brand-color0);\n}\n\n.jp-mod-clicked .jp-StatusBar-TextItem {\n  color: var(--jp-ui-inverse-font-color1);\n}\n\n.jp-StatusBar-HoverItem {\n  box-shadow: '0px 4px 4px rgba(0, 0, 0, 0.25)';\n}\n\n.jp-StatusBar-TextItem {\n  font-size: var(--jp-ui-font-size1);\n  font-family: var(--jp-ui-font-family);\n  line-height: 24px;\n  color: var(--jp-ui-font-color1);\n}\n\n.jp-StatusBar-GroupItem {\n  display: flex;\n  align-items: center;\n  flex-direction: row;\n}\n\n.jp-Statusbar-ProgressCircle svg {\n  display: block;\n  margin: 0 auto;\n  width: 16px;\n  height: 24px;\n  align-self: normal;\n}\n\n.jp-Statusbar-ProgressCircle path {\n  fill: var(--jp-inverse-layout-color3);\n}\n\n.jp-Statusbar-ProgressBar-progress-bar {\n  height: 10px;\n  width: 100px;\n  border: solid 0.25px var(--jp-brand-color2);\n  border-radius: 3px;\n  overflow: hidden;\n  align-self: center;\n}\n\n.jp-Statusbar-ProgressBar-progress-bar > div {\n  background-color: var(--jp-brand-color2);\n  background-image: linear-gradient(\n    -45deg,\n    rgba(255, 255, 255, 0.2) 25%,\n    transparent 25%,\n    transparent 50%,\n    rgba(255, 255, 255, 0.2) 50%,\n    rgba(255, 255, 255, 0.2) 75%,\n    transparent 75%,\n    transparent\n  );\n  background-size: 40px 40px;\n  float: left;\n  width: 0%;\n  height: 100%;\n  font-size: 12px;\n  line-height: 14px;\n  color: #fff;\n  text-align: center;\n  animation: jp-Statusbar-ExecutionTime-progress-bar 2s linear infinite;\n}\n\n.jp-Statusbar-ProgressBar-progress-bar p {\n  color: var(--jp-ui-font-color1);\n  font-family: var(--jp-ui-font-family);\n  font-size: var(--jp-ui-font-size1);\n  line-height: 10px;\n  width: 100px;\n}\n\n@keyframes jp-Statusbar-ExecutionTime-progress-bar {\n  0% {\n    background-position: 0 0;\n  }\n\n  100% {\n    background-position: 40px 40px;\n  }\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Variables\n|----------------------------------------------------------------------------*\/\n\n:root {\n  --jp-private-commandpalette-search-height: 28px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Overall styles\n|----------------------------------------------------------------------------*\/\n\n.lm-CommandPalette {\n  padding-bottom: 0;\n  color: var(--jp-ui-font-color1);\n  background: var(--jp-layout-color1);\n\n  \/* This is needed so that all font sizing of children done in ems is\n   * relative to this base size *\/\n  font-size: var(--jp-ui-font-size1);\n}\n\n\/*-----------------------------------------------------------------------------\n| Modal variant\n|----------------------------------------------------------------------------*\/\n\n.jp-ModalCommandPalette {\n  position: absolute;\n  z-index: 10000;\n  top: 38px;\n  left: 30%;\n  margin: 0;\n  padding: 4px;\n  width: 40%;\n  box-shadow: var(--jp-elevation-z4);\n  border-radius: 4px;\n  background: var(--jp-layout-color0);\n}\n\n.jp-ModalCommandPalette .lm-CommandPalette {\n  max-height: 40vh;\n}\n\n.jp-ModalCommandPalette .lm-CommandPalette .lm-close-icon::after {\n  display: none;\n}\n\n.jp-ModalCommandPalette .lm-CommandPalette .lm-CommandPalette-header {\n  display: none;\n}\n\n.jp-ModalCommandPalette .lm-CommandPalette .lm-CommandPalette-item {\n  margin-left: 4px;\n  margin-right: 4px;\n}\n\n.jp-ModalCommandPalette\n  .lm-CommandPalette\n  .lm-CommandPalette-item.lm-mod-disabled {\n  display: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| Search\n|----------------------------------------------------------------------------*\/\n\n.lm-CommandPalette-search {\n  padding: 4px;\n  background-color: var(--jp-layout-color1);\n  z-index: 2;\n}\n\n.lm-CommandPalette-wrapper {\n  overflow: overlay;\n  padding: 0 9px;\n  background-color: var(--jp-input-active-background);\n  height: 30px;\n  box-shadow: inset 0 0 0 var(--jp-border-width) var(--jp-input-border-color);\n}\n\n.lm-CommandPalette.lm-mod-focused .lm-CommandPalette-wrapper {\n  box-shadow: inset 0 0 0 1px var(--jp-input-active-box-shadow-color),\n    inset 0 0 0 3px var(--jp-input-active-box-shadow-color);\n}\n\n.jp-SearchIconGroup {\n  color: white;\n  background-color: var(--jp-brand-color1);\n  position: absolute;\n  top: 4px;\n  right: 4px;\n  padding: 5px 5px 1px;\n}\n\n.jp-SearchIconGroup svg {\n  height: 20px;\n  width: 20px;\n}\n\n.jp-SearchIconGroup .jp-icon3[fill] {\n  fill: var(--jp-layout-color0);\n}\n\n.lm-CommandPalette-input {\n  background: transparent;\n  width: calc(100% - 18px);\n  float: left;\n  border: none;\n  outline: none;\n  font-size: var(--jp-ui-font-size1);\n  color: var(--jp-ui-font-color0);\n  line-height: var(--jp-private-commandpalette-search-height);\n}\n\n.lm-CommandPalette-input::-webkit-input-placeholder,\n.lm-CommandPalette-input::-moz-placeholder,\n.lm-CommandPalette-input:-ms-input-placeholder {\n  color: var(--jp-ui-font-color2);\n  font-size: var(--jp-ui-font-size1);\n}\n\n\/*-----------------------------------------------------------------------------\n| Results\n|----------------------------------------------------------------------------*\/\n\n.lm-CommandPalette-header:first-child {\n  margin-top: 0;\n}\n\n.lm-CommandPalette-header {\n  border-bottom: solid var(--jp-border-width) var(--jp-border-color2);\n  color: var(--jp-ui-font-color1);\n  cursor: pointer;\n  display: flex;\n  font-size: var(--jp-ui-font-size0);\n  font-weight: 600;\n  letter-spacing: 1px;\n  margin-top: 8px;\n  padding: 8px 0 8px 12px;\n  text-transform: uppercase;\n}\n\n.lm-CommandPalette-header.lm-mod-active {\n  background: var(--jp-layout-color2);\n}\n\n.lm-CommandPalette-header > mark {\n  background-color: transparent;\n  font-weight: bold;\n  color: var(--jp-ui-font-color1);\n}\n\n.lm-CommandPalette-item {\n  padding: 4px 12px 4px 4px;\n  color: var(--jp-ui-font-color1);\n  font-size: var(--jp-ui-font-size1);\n  font-weight: 400;\n  display: flex;\n}\n\n.lm-CommandPalette-item.lm-mod-disabled {\n  color: var(--jp-ui-font-color2);\n}\n\n.lm-CommandPalette-item.lm-mod-active {\n  color: var(--jp-ui-inverse-font-color1);\n  background: var(--jp-brand-color1);\n}\n\n.lm-CommandPalette-item.lm-mod-active .lm-CommandPalette-itemLabel > mark {\n  color: var(--jp-ui-inverse-font-color0);\n}\n\n.lm-CommandPalette-item.lm-mod-active .jp-icon-selectable[fill] {\n  fill: var(--jp-layout-color0);\n}\n\n.lm-CommandPalette-item.lm-mod-active:hover:not(.lm-mod-disabled) {\n  color: var(--jp-ui-inverse-font-color1);\n  background: var(--jp-brand-color1);\n}\n\n.lm-CommandPalette-item:hover:not(.lm-mod-active):not(.lm-mod-disabled) {\n  background: var(--jp-layout-color2);\n}\n\n.lm-CommandPalette-itemContent {\n  overflow: hidden;\n}\n\n.lm-CommandPalette-itemLabel > mark {\n  color: var(--jp-ui-font-color0);\n  background-color: transparent;\n  font-weight: bold;\n}\n\n.lm-CommandPalette-item.lm-mod-disabled mark {\n  color: var(--jp-ui-font-color2);\n}\n\n.lm-CommandPalette-item .lm-CommandPalette-itemIcon {\n  margin: 0 4px 0 0;\n  position: relative;\n  width: 16px;\n  top: 2px;\n  flex: 0 0 auto;\n}\n\n.lm-CommandPalette-item.lm-mod-disabled .lm-CommandPalette-itemIcon {\n  opacity: 0.6;\n}\n\n.lm-CommandPalette-item .lm-CommandPalette-itemShortcut {\n  flex: 0 0 auto;\n}\n\n.lm-CommandPalette-itemCaption {\n  display: none;\n}\n\n.lm-CommandPalette-content {\n  background-color: var(--jp-layout-color1);\n}\n\n.lm-CommandPalette-content:empty::after {\n  content: 'No results';\n  margin: auto;\n  margin-top: 20px;\n  width: 100px;\n  display: block;\n  font-size: var(--jp-ui-font-size2);\n  font-family: var(--jp-ui-font-family);\n  font-weight: lighter;\n}\n\n.lm-CommandPalette-emptyMessage {\n  text-align: center;\n  margin-top: 24px;\n  line-height: 1.32;\n  padding: 0 8px;\n  color: var(--jp-content-font-color3);\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2014-2017, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-Dialog {\n  position: absolute;\n  z-index: 10000;\n  display: flex;\n  flex-direction: column;\n  align-items: center;\n  justify-content: center;\n  top: 0;\n  left: 0;\n  margin: 0;\n  padding: 0;\n  width: 100%;\n  height: 100%;\n  background: var(--jp-dialog-background);\n}\n\n.jp-Dialog-content {\n  display: flex;\n  flex-direction: column;\n  margin-left: auto;\n  margin-right: auto;\n  background: var(--jp-layout-color1);\n  padding: 24px 24px 12px;\n  min-width: 300px;\n  min-height: 150px;\n  max-width: 1000px;\n  max-height: 500px;\n  box-sizing: border-box;\n  box-shadow: var(--jp-elevation-z20);\n  word-wrap: break-word;\n  border-radius: var(--jp-border-radius);\n\n  \/* This is needed so that all font sizing of children done in ems is\n   * relative to this base size *\/\n  font-size: var(--jp-ui-font-size1);\n  color: var(--jp-ui-font-color1);\n  resize: both;\n}\n\n.jp-Dialog-content.jp-Dialog-content-small {\n  max-width: 500px;\n}\n\n.jp-Dialog-button {\n  overflow: visible;\n}\n\nbutton.jp-Dialog-button:focus {\n  outline: 1px solid var(--jp-brand-color1);\n  outline-offset: 4px;\n  -moz-outline-radius: 0;\n}\n\nbutton.jp-Dialog-button:focus::-moz-focus-inner {\n  border: 0;\n}\n\nbutton.jp-Dialog-button.jp-mod-styled.jp-mod-accept:focus,\nbutton.jp-Dialog-button.jp-mod-styled.jp-mod-warn:focus,\nbutton.jp-Dialog-button.jp-mod-styled.jp-mod-reject:focus {\n  outline-offset: 4px;\n  -moz-outline-radius: 0;\n}\n\nbutton.jp-Dialog-button.jp-mod-styled.jp-mod-accept:focus {\n  outline: 1px solid var(--jp-accept-color-normal, var(--jp-brand-color1));\n}\n\nbutton.jp-Dialog-button.jp-mod-styled.jp-mod-warn:focus {\n  outline: 1px solid var(--jp-warn-color-normal, var(--jp-error-color1));\n}\n\nbutton.jp-Dialog-button.jp-mod-styled.jp-mod-reject:focus {\n  outline: 1px solid var(--jp-reject-color-normal, var(--md-grey-600));\n}\n\nbutton.jp-Dialog-close-button {\n  padding: 0;\n  height: 100%;\n  min-width: unset;\n  min-height: unset;\n}\n\n.jp-Dialog-header {\n  display: flex;\n  justify-content: space-between;\n  flex: 0 0 auto;\n  padding-bottom: 12px;\n  font-size: var(--jp-ui-font-size3);\n  font-weight: 400;\n  color: var(--jp-ui-font-color1);\n}\n\n.jp-Dialog-body {\n  display: flex;\n  flex-direction: column;\n  flex: 1 1 auto;\n  font-size: var(--jp-ui-font-size1);\n  background: var(--jp-layout-color1);\n  color: var(--jp-ui-font-color1);\n  overflow: auto;\n}\n\n.jp-Dialog-footer {\n  display: flex;\n  flex-direction: row;\n  justify-content: flex-end;\n  align-items: center;\n  flex: 0 0 auto;\n  margin-left: -12px;\n  margin-right: -12px;\n  padding: 12px;\n}\n\n.jp-Dialog-checkbox {\n  padding-right: 5px;\n}\n\n.jp-Dialog-checkbox > input:focus-visible {\n  outline: 1px solid var(--jp-input-active-border-color);\n  outline-offset: 1px;\n}\n\n.jp-Dialog-spacer {\n  flex: 1 1 auto;\n}\n\n.jp-Dialog-title {\n  overflow: hidden;\n  white-space: nowrap;\n  text-overflow: ellipsis;\n}\n\n.jp-Dialog-body > .jp-select-wrapper {\n  width: 100%;\n}\n\n.jp-Dialog-body > button {\n  padding: 0 16px;\n}\n\n.jp-Dialog-body > label {\n  line-height: 1.4;\n  color: var(--jp-ui-font-color0);\n}\n\n.jp-Dialog-button.jp-mod-styled:not(:last-child) {\n  margin-right: 12px;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n.jp-Input-Boolean-Dialog {\n  flex-direction: row-reverse;\n  align-items: end;\n  width: 100%;\n}\n\n.jp-Input-Boolean-Dialog > label {\n  flex: 1 1 auto;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2014-2016, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-MainAreaWidget > :focus {\n  outline: none;\n}\n\n.jp-MainAreaWidget .jp-MainAreaWidget-error {\n  padding: 6px;\n}\n\n.jp-MainAreaWidget .jp-MainAreaWidget-error > pre {\n  width: auto;\n  padding: 10px;\n  background: var(--jp-error-color3);\n  border: var(--jp-border-width) solid var(--jp-error-color1);\n  border-radius: var(--jp-border-radius);\n  color: var(--jp-ui-font-color1);\n  font-size: var(--jp-ui-font-size1);\n  white-space: pre-wrap;\n  word-wrap: break-word;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/**\n * google-material-color v1.2.6\n * https:\/\/github.com\/danlevan\/google-material-color\n *\/\n:root {\n  --md-red-50: #ffebee;\n  --md-red-100: #ffcdd2;\n  --md-red-200: #ef9a9a;\n  --md-red-300: #e57373;\n  --md-red-400: #ef5350;\n  --md-red-500: #f44336;\n  --md-red-600: #e53935;\n  --md-red-700: #d32f2f;\n  --md-red-800: #c62828;\n  --md-red-900: #b71c1c;\n  --md-red-A100: #ff8a80;\n  --md-red-A200: #ff5252;\n  --md-red-A400: #ff1744;\n  --md-red-A700: #d50000;\n  --md-pink-50: #fce4ec;\n  --md-pink-100: #f8bbd0;\n  --md-pink-200: #f48fb1;\n  --md-pink-300: #f06292;\n  --md-pink-400: #ec407a;\n  --md-pink-500: #e91e63;\n  --md-pink-600: #d81b60;\n  --md-pink-700: #c2185b;\n  --md-pink-800: #ad1457;\n  --md-pink-900: #880e4f;\n  --md-pink-A100: #ff80ab;\n  --md-pink-A200: #ff4081;\n  --md-pink-A400: #f50057;\n  --md-pink-A700: #c51162;\n  --md-purple-50: #f3e5f5;\n  --md-purple-100: #e1bee7;\n  --md-purple-200: #ce93d8;\n  --md-purple-300: #ba68c8;\n  --md-purple-400: #ab47bc;\n  --md-purple-500: #9c27b0;\n  --md-purple-600: #8e24aa;\n  --md-purple-700: #7b1fa2;\n  --md-purple-800: #6a1b9a;\n  --md-purple-900: #4a148c;\n  --md-purple-A100: #ea80fc;\n  --md-purple-A200: #e040fb;\n  --md-purple-A400: #d500f9;\n  --md-purple-A700: #a0f;\n  --md-deep-purple-50: #ede7f6;\n  --md-deep-purple-100: #d1c4e9;\n  --md-deep-purple-200: #b39ddb;\n  --md-deep-purple-300: #9575cd;\n  --md-deep-purple-400: #7e57c2;\n  --md-deep-purple-500: #673ab7;\n  --md-deep-purple-600: #5e35b1;\n  --md-deep-purple-700: #512da8;\n  --md-deep-purple-800: #4527a0;\n  --md-deep-purple-900: #311b92;\n  --md-deep-purple-A100: #b388ff;\n  --md-deep-purple-A200: #7c4dff;\n  --md-deep-purple-A400: #651fff;\n  --md-deep-purple-A700: #6200ea;\n  --md-indigo-50: #e8eaf6;\n  --md-indigo-100: #c5cae9;\n  --md-indigo-200: #9fa8da;\n  --md-indigo-300: #7986cb;\n  --md-indigo-400: #5c6bc0;\n  --md-indigo-500: #3f51b5;\n  --md-indigo-600: #3949ab;\n  --md-indigo-700: #303f9f;\n  --md-indigo-800: #283593;\n  --md-indigo-900: #1a237e;\n  --md-indigo-A100: #8c9eff;\n  --md-indigo-A200: #536dfe;\n  --md-indigo-A400: #3d5afe;\n  --md-indigo-A700: #304ffe;\n  --md-blue-50: #e3f2fd;\n  --md-blue-100: #bbdefb;\n  --md-blue-200: #90caf9;\n  --md-blue-300: #64b5f6;\n  --md-blue-400: #42a5f5;\n  --md-blue-500: #2196f3;\n  --md-blue-600: #1e88e5;\n  --md-blue-700: #1976d2;\n  --md-blue-800: #1565c0;\n  --md-blue-900: #0d47a1;\n  --md-blue-A100: #82b1ff;\n  --md-blue-A200: #448aff;\n  --md-blue-A400: #2979ff;\n  --md-blue-A700: #2962ff;\n  --md-light-blue-50: #e1f5fe;\n  --md-light-blue-100: #b3e5fc;\n  --md-light-blue-200: #81d4fa;\n  --md-light-blue-300: #4fc3f7;\n  --md-light-blue-400: #29b6f6;\n  --md-light-blue-500: #03a9f4;\n  --md-light-blue-600: #039be5;\n  --md-light-blue-700: #0288d1;\n  --md-light-blue-800: #0277bd;\n  --md-light-blue-900: #01579b;\n  --md-light-blue-A100: #80d8ff;\n  --md-light-blue-A200: #40c4ff;\n  --md-light-blue-A400: #00b0ff;\n  --md-light-blue-A700: #0091ea;\n  --md-cyan-50: #e0f7fa;\n  --md-cyan-100: #b2ebf2;\n  --md-cyan-200: #80deea;\n  --md-cyan-300: #4dd0e1;\n  --md-cyan-400: #26c6da;\n  --md-cyan-500: #00bcd4;\n  --md-cyan-600: #00acc1;\n  --md-cyan-700: #0097a7;\n  --md-cyan-800: #00838f;\n  --md-cyan-900: #006064;\n  --md-cyan-A100: #84ffff;\n  --md-cyan-A200: #18ffff;\n  --md-cyan-A400: #00e5ff;\n  --md-cyan-A700: #00b8d4;\n  --md-teal-50: #e0f2f1;\n  --md-teal-100: #b2dfdb;\n  --md-teal-200: #80cbc4;\n  --md-teal-300: #4db6ac;\n  --md-teal-400: #26a69a;\n  --md-teal-500: #009688;\n  --md-teal-600: #00897b;\n  --md-teal-700: #00796b;\n  --md-teal-800: #00695c;\n  --md-teal-900: #004d40;\n  --md-teal-A100: #a7ffeb;\n  --md-teal-A200: #64ffda;\n  --md-teal-A400: #1de9b6;\n  --md-teal-A700: #00bfa5;\n  --md-green-50: #e8f5e9;\n  --md-green-100: #c8e6c9;\n  --md-green-200: #a5d6a7;\n  --md-green-300: #81c784;\n  --md-green-400: #66bb6a;\n  --md-green-500: #4caf50;\n  --md-green-600: #43a047;\n  --md-green-700: #388e3c;\n  --md-green-800: #2e7d32;\n  --md-green-900: #1b5e20;\n  --md-green-A100: #b9f6ca;\n  --md-green-A200: #69f0ae;\n  --md-green-A400: #00e676;\n  --md-green-A700: #00c853;\n  --md-light-green-50: #f1f8e9;\n  --md-light-green-100: #dcedc8;\n  --md-light-green-200: #c5e1a5;\n  --md-light-green-300: #aed581;\n  --md-light-green-400: #9ccc65;\n  --md-light-green-500: #8bc34a;\n  --md-light-green-600: #7cb342;\n  --md-light-green-700: #689f38;\n  --md-light-green-800: #558b2f;\n  --md-light-green-900: #33691e;\n  --md-light-green-A100: #ccff90;\n  --md-light-green-A200: #b2ff59;\n  --md-light-green-A400: #76ff03;\n  --md-light-green-A700: #64dd17;\n  --md-lime-50: #f9fbe7;\n  --md-lime-100: #f0f4c3;\n  --md-lime-200: #e6ee9c;\n  --md-lime-300: #dce775;\n  --md-lime-400: #d4e157;\n  --md-lime-500: #cddc39;\n  --md-lime-600: #c0ca33;\n  --md-lime-700: #afb42b;\n  --md-lime-800: #9e9d24;\n  --md-lime-900: #827717;\n  --md-lime-A100: #f4ff81;\n  --md-lime-A200: #eeff41;\n  --md-lime-A400: #c6ff00;\n  --md-lime-A700: #aeea00;\n  --md-yellow-50: #fffde7;\n  --md-yellow-100: #fff9c4;\n  --md-yellow-200: #fff59d;\n  --md-yellow-300: #fff176;\n  --md-yellow-400: #ffee58;\n  --md-yellow-500: #ffeb3b;\n  --md-yellow-600: #fdd835;\n  --md-yellow-700: #fbc02d;\n  --md-yellow-800: #f9a825;\n  --md-yellow-900: #f57f17;\n  --md-yellow-A100: #ffff8d;\n  --md-yellow-A200: #ff0;\n  --md-yellow-A400: #ffea00;\n  --md-yellow-A700: #ffd600;\n  --md-amber-50: #fff8e1;\n  --md-amber-100: #ffecb3;\n  --md-amber-200: #ffe082;\n  --md-amber-300: #ffd54f;\n  --md-amber-400: #ffca28;\n  --md-amber-500: #ffc107;\n  --md-amber-600: #ffb300;\n  --md-amber-700: #ffa000;\n  --md-amber-800: #ff8f00;\n  --md-amber-900: #ff6f00;\n  --md-amber-A100: #ffe57f;\n  --md-amber-A200: #ffd740;\n  --md-amber-A400: #ffc400;\n  --md-amber-A700: #ffab00;\n  --md-orange-50: #fff3e0;\n  --md-orange-100: #ffe0b2;\n  --md-orange-200: #ffcc80;\n  --md-orange-300: #ffb74d;\n  --md-orange-400: #ffa726;\n  --md-orange-500: #ff9800;\n  --md-orange-600: #fb8c00;\n  --md-orange-700: #f57c00;\n  --md-orange-800: #ef6c00;\n  --md-orange-900: #e65100;\n  --md-orange-A100: #ffd180;\n  --md-orange-A200: #ffab40;\n  --md-orange-A400: #ff9100;\n  --md-orange-A700: #ff6d00;\n  --md-deep-orange-50: #fbe9e7;\n  --md-deep-orange-100: #ffccbc;\n  --md-deep-orange-200: #ffab91;\n  --md-deep-orange-300: #ff8a65;\n  --md-deep-orange-400: #ff7043;\n  --md-deep-orange-500: #ff5722;\n  --md-deep-orange-600: #f4511e;\n  --md-deep-orange-700: #e64a19;\n  --md-deep-orange-800: #d84315;\n  --md-deep-orange-900: #bf360c;\n  --md-deep-orange-A100: #ff9e80;\n  --md-deep-orange-A200: #ff6e40;\n  --md-deep-orange-A400: #ff3d00;\n  --md-deep-orange-A700: #dd2c00;\n  --md-brown-50: #efebe9;\n  --md-brown-100: #d7ccc8;\n  --md-brown-200: #bcaaa4;\n  --md-brown-300: #a1887f;\n  --md-brown-400: #8d6e63;\n  --md-brown-500: #795548;\n  --md-brown-600: #6d4c41;\n  --md-brown-700: #5d4037;\n  --md-brown-800: #4e342e;\n  --md-brown-900: #3e2723;\n  --md-grey-50: #fafafa;\n  --md-grey-100: #f5f5f5;\n  --md-grey-200: #eee;\n  --md-grey-300: #e0e0e0;\n  --md-grey-400: #bdbdbd;\n  --md-grey-500: #9e9e9e;\n  --md-grey-600: #757575;\n  --md-grey-700: #616161;\n  --md-grey-800: #424242;\n  --md-grey-900: #212121;\n  --md-blue-grey-50: #eceff1;\n  --md-blue-grey-100: #cfd8dc;\n  --md-blue-grey-200: #b0bec5;\n  --md-blue-grey-300: #90a4ae;\n  --md-blue-grey-400: #78909c;\n  --md-blue-grey-500: #607d8b;\n  --md-blue-grey-600: #546e7a;\n  --md-blue-grey-700: #455a64;\n  --md-blue-grey-800: #37474f;\n  --md-blue-grey-900: #263238;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2014-2017, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| RenderedText\n|----------------------------------------------------------------------------*\/\n\n:root {\n  \/* This is the padding value to fill the gaps between lines containing spans with background color. *\/\n  --jp-private-code-span-padding: calc(\n    (var(--jp-code-line-height) - 1) * var(--jp-code-font-size) \/ 2\n  );\n}\n\n.jp-RenderedText {\n  text-align: left;\n  padding-left: var(--jp-code-padding);\n  line-height: var(--jp-code-line-height);\n  font-family: var(--jp-code-font-family);\n}\n\n.jp-RenderedText pre,\n.jp-RenderedJavaScript pre,\n.jp-RenderedHTMLCommon pre {\n  color: var(--jp-content-font-color1);\n  font-size: var(--jp-code-font-size);\n  border: none;\n  margin: 0;\n  padding: 0;\n}\n\n.jp-RenderedText pre a:link {\n  text-decoration: none;\n  color: var(--jp-content-link-color);\n}\n\n.jp-RenderedText pre a:hover {\n  text-decoration: underline;\n  color: var(--jp-content-link-color);\n}\n\n.jp-RenderedText pre a:visited {\n  text-decoration: none;\n  color: var(--jp-content-link-color);\n}\n\n\/* console foregrounds and backgrounds *\/\n.jp-RenderedText pre .ansi-black-fg {\n  color: #3e424d;\n}\n\n.jp-RenderedText pre .ansi-red-fg {\n  color: #e75c58;\n}\n\n.jp-RenderedText pre .ansi-green-fg {\n  color: #00a250;\n}\n\n.jp-RenderedText pre .ansi-yellow-fg {\n  color: #ddb62b;\n}\n\n.jp-RenderedText pre .ansi-blue-fg {\n  color: #208ffb;\n}\n\n.jp-RenderedText pre .ansi-magenta-fg {\n  color: #d160c4;\n}\n\n.jp-RenderedText pre .ansi-cyan-fg {\n  color: #60c6c8;\n}\n\n.jp-RenderedText pre .ansi-white-fg {\n  color: #c5c1b4;\n}\n\n.jp-RenderedText pre .ansi-black-bg {\n  background-color: #3e424d;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-red-bg {\n  background-color: #e75c58;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-green-bg {\n  background-color: #00a250;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-yellow-bg {\n  background-color: #ddb62b;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-blue-bg {\n  background-color: #208ffb;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-magenta-bg {\n  background-color: #d160c4;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-cyan-bg {\n  background-color: #60c6c8;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-white-bg {\n  background-color: #c5c1b4;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-black-intense-fg {\n  color: #282c36;\n}\n\n.jp-RenderedText pre .ansi-red-intense-fg {\n  color: #b22b31;\n}\n\n.jp-RenderedText pre .ansi-green-intense-fg {\n  color: #007427;\n}\n\n.jp-RenderedText pre .ansi-yellow-intense-fg {\n  color: #b27d12;\n}\n\n.jp-RenderedText pre .ansi-blue-intense-fg {\n  color: #0065ca;\n}\n\n.jp-RenderedText pre .ansi-magenta-intense-fg {\n  color: #a03196;\n}\n\n.jp-RenderedText pre .ansi-cyan-intense-fg {\n  color: #258f8f;\n}\n\n.jp-RenderedText pre .ansi-white-intense-fg {\n  color: #a1a6b2;\n}\n\n.jp-RenderedText pre .ansi-black-intense-bg {\n  background-color: #282c36;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-red-intense-bg {\n  background-color: #b22b31;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-green-intense-bg {\n  background-color: #007427;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-yellow-intense-bg {\n  background-color: #b27d12;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-blue-intense-bg {\n  background-color: #0065ca;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-magenta-intense-bg {\n  background-color: #a03196;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-cyan-intense-bg {\n  background-color: #258f8f;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-white-intense-bg {\n  background-color: #a1a6b2;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-default-inverse-fg {\n  color: var(--jp-ui-inverse-font-color0);\n}\n\n.jp-RenderedText pre .ansi-default-inverse-bg {\n  background-color: var(--jp-inverse-layout-color0);\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-bold {\n  font-weight: bold;\n}\n\n.jp-RenderedText pre .ansi-underline {\n  text-decoration: underline;\n}\n\n.jp-RenderedText[data-mime-type='application\/vnd.jupyter.stderr'] {\n  background: var(--jp-rendermime-error-background);\n  padding-top: var(--jp-code-padding);\n}\n\n\/*-----------------------------------------------------------------------------\n| RenderedLatex\n|----------------------------------------------------------------------------*\/\n\n.jp-RenderedLatex {\n  color: var(--jp-content-font-color1);\n  font-size: var(--jp-content-font-size1);\n  line-height: var(--jp-content-line-height);\n}\n\n\/* Left-justify outputs.*\/\n.jp-OutputArea-output.jp-RenderedLatex {\n  padding: var(--jp-code-padding);\n  text-align: left;\n}\n\n\/*-----------------------------------------------------------------------------\n| RenderedHTML\n|----------------------------------------------------------------------------*\/\n\n.jp-RenderedHTMLCommon {\n  color: var(--jp-content-font-color1);\n  font-family: var(--jp-content-font-family);\n  font-size: var(--jp-content-font-size1);\n  line-height: var(--jp-content-line-height);\n\n  \/* Give a bit more R padding on Markdown text to keep line lengths reasonable *\/\n  padding-right: 20px;\n}\n\n.jp-RenderedHTMLCommon em {\n  font-style: italic;\n}\n\n.jp-RenderedHTMLCommon strong {\n  font-weight: bold;\n}\n\n.jp-RenderedHTMLCommon u {\n  text-decoration: underline;\n}\n\n.jp-RenderedHTMLCommon a:link {\n  text-decoration: none;\n  color: var(--jp-content-link-color);\n}\n\n.jp-RenderedHTMLCommon a:hover {\n  text-decoration: underline;\n  color: var(--jp-content-link-color);\n}\n\n.jp-RenderedHTMLCommon a:visited {\n  text-decoration: none;\n  color: var(--jp-content-link-color);\n}\n\n\/* Headings *\/\n\n.jp-RenderedHTMLCommon h1,\n.jp-RenderedHTMLCommon h2,\n.jp-RenderedHTMLCommon h3,\n.jp-RenderedHTMLCommon h4,\n.jp-RenderedHTMLCommon h5,\n.jp-RenderedHTMLCommon h6 {\n  line-height: var(--jp-content-heading-line-height);\n  font-weight: var(--jp-content-heading-font-weight);\n  font-style: normal;\n  margin: var(--jp-content-heading-margin-top) 0\n    var(--jp-content-heading-margin-bottom) 0;\n}\n\n.jp-RenderedHTMLCommon h1:first-child,\n.jp-RenderedHTMLCommon h2:first-child,\n.jp-RenderedHTMLCommon h3:first-child,\n.jp-RenderedHTMLCommon h4:first-child,\n.jp-RenderedHTMLCommon h5:first-child,\n.jp-RenderedHTMLCommon h6:first-child {\n  margin-top: calc(0.5 * var(--jp-content-heading-margin-top));\n}\n\n.jp-RenderedHTMLCommon h1:last-child,\n.jp-RenderedHTMLCommon h2:last-child,\n.jp-RenderedHTMLCommon h3:last-child,\n.jp-RenderedHTMLCommon h4:last-child,\n.jp-RenderedHTMLCommon h5:last-child,\n.jp-RenderedHTMLCommon h6:last-child {\n  margin-bottom: calc(0.5 * var(--jp-content-heading-margin-bottom));\n}\n\n.jp-RenderedHTMLCommon h1 {\n  font-size: var(--jp-content-font-size5);\n}\n\n.jp-RenderedHTMLCommon h2 {\n  font-size: var(--jp-content-font-size4);\n}\n\n.jp-RenderedHTMLCommon h3 {\n  font-size: var(--jp-content-font-size3);\n}\n\n.jp-RenderedHTMLCommon h4 {\n  font-size: var(--jp-content-font-size2);\n}\n\n.jp-RenderedHTMLCommon h5 {\n  font-size: var(--jp-content-font-size1);\n}\n\n.jp-RenderedHTMLCommon h6 {\n  font-size: var(--jp-content-font-size0);\n}\n\n\/* Lists *\/\n\n\/* stylelint-disable selector-max-type, selector-max-compound-selectors *\/\n\n.jp-RenderedHTMLCommon ul:not(.list-inline),\n.jp-RenderedHTMLCommon ol:not(.list-inline) {\n  padding-left: 2em;\n}\n\n.jp-RenderedHTMLCommon ul {\n  list-style: disc;\n}\n\n.jp-RenderedHTMLCommon ul ul {\n  list-style: square;\n}\n\n.jp-RenderedHTMLCommon ul ul ul {\n  list-style: circle;\n}\n\n.jp-RenderedHTMLCommon ol {\n  list-style: decimal;\n}\n\n.jp-RenderedHTMLCommon ol ol {\n  list-style: upper-alpha;\n}\n\n.jp-RenderedHTMLCommon ol ol ol {\n  list-style: lower-alpha;\n}\n\n.jp-RenderedHTMLCommon ol ol ol ol {\n  list-style: lower-roman;\n}\n\n.jp-RenderedHTMLCommon ol ol ol ol ol {\n  list-style: decimal;\n}\n\n.jp-RenderedHTMLCommon ol,\n.jp-RenderedHTMLCommon ul {\n  margin-bottom: 1em;\n}\n\n.jp-RenderedHTMLCommon ul ul,\n.jp-RenderedHTMLCommon ul ol,\n.jp-RenderedHTMLCommon ol ul,\n.jp-RenderedHTMLCommon ol ol {\n  margin-bottom: 0;\n}\n\n\/* stylelint-enable selector-max-type, selector-max-compound-selectors *\/\n\n.jp-RenderedHTMLCommon hr {\n  color: var(--jp-border-color2);\n  background-color: var(--jp-border-color1);\n  margin-top: 1em;\n  margin-bottom: 1em;\n}\n\n.jp-RenderedHTMLCommon > pre {\n  margin: 1.5em 2em;\n}\n\n.jp-RenderedHTMLCommon pre,\n.jp-RenderedHTMLCommon code {\n  border: 0;\n  background-color: var(--jp-layout-color0);\n  color: var(--jp-content-font-color1);\n  font-family: var(--jp-code-font-family);\n  font-size: inherit;\n  line-height: var(--jp-code-line-height);\n  padding: 0;\n  white-space: pre-wrap;\n}\n\n.jp-RenderedHTMLCommon :not(pre) > code {\n  background-color: var(--jp-layout-color2);\n  padding: 1px 5px;\n}\n\n\/* Tables *\/\n\n.jp-RenderedHTMLCommon table {\n  border-collapse: collapse;\n  border-spacing: 0;\n  border: none;\n  color: var(--jp-ui-font-color1);\n  font-size: var(--jp-ui-font-size1);\n  table-layout: fixed;\n  margin-left: auto;\n  margin-bottom: 1em;\n  margin-right: auto;\n}\n\n.jp-RenderedHTMLCommon thead {\n  border-bottom: var(--jp-border-width) solid var(--jp-border-color1);\n  vertical-align: bottom;\n}\n\n.jp-RenderedHTMLCommon td,\n.jp-RenderedHTMLCommon th,\n.jp-RenderedHTMLCommon tr {\n  vertical-align: middle;\n  padding: 0.5em;\n  line-height: normal;\n  white-space: normal;\n  max-width: none;\n  border: none;\n}\n\n.jp-RenderedMarkdown.jp-RenderedHTMLCommon td,\n.jp-RenderedMarkdown.jp-RenderedHTMLCommon th {\n  max-width: none;\n}\n\n:not(.jp-RenderedMarkdown).jp-RenderedHTMLCommon td,\n:not(.jp-RenderedMarkdown).jp-RenderedHTMLCommon th,\n:not(.jp-RenderedMarkdown).jp-RenderedHTMLCommon tr {\n  text-align: right;\n}\n\n.jp-RenderedHTMLCommon th {\n  font-weight: bold;\n}\n\n.jp-RenderedHTMLCommon tbody tr:nth-child(odd) {\n  background: var(--jp-layout-color0);\n}\n\n.jp-RenderedHTMLCommon tbody tr:nth-child(even) {\n  background: var(--jp-rendermime-table-row-background);\n}\n\n.jp-RenderedHTMLCommon tbody tr:hover {\n  background: var(--jp-rendermime-table-row-hover-background);\n}\n\n.jp-RenderedHTMLCommon p {\n  text-align: left;\n  margin: 0;\n  margin-bottom: 1em;\n}\n\n.jp-RenderedHTMLCommon img {\n  -moz-force-broken-image-icon: 1;\n}\n\n\/* Restrict to direct children as other images could be nested in other content. *\/\n.jp-RenderedHTMLCommon > img {\n  display: block;\n  margin-left: 0;\n  margin-right: 0;\n  margin-bottom: 1em;\n}\n\n\/* Change color behind transparent images if they need it... *\/\n[data-jp-theme-light='false'] .jp-RenderedImage img.jp-needs-light-background {\n  background-color: var(--jp-inverse-layout-color1);\n}\n\n[data-jp-theme-light='true'] .jp-RenderedImage img.jp-needs-dark-background {\n  background-color: var(--jp-inverse-layout-color1);\n}\n\n.jp-RenderedHTMLCommon img,\n.jp-RenderedImage img,\n.jp-RenderedHTMLCommon svg,\n.jp-RenderedSVG svg {\n  max-width: 100%;\n  height: auto;\n}\n\n.jp-RenderedHTMLCommon img.jp-mod-unconfined,\n.jp-RenderedImage img.jp-mod-unconfined,\n.jp-RenderedHTMLCommon svg.jp-mod-unconfined,\n.jp-RenderedSVG svg.jp-mod-unconfined {\n  max-width: none;\n}\n\n.jp-RenderedHTMLCommon .alert {\n  padding: var(--jp-notebook-padding);\n  border: var(--jp-border-width) solid transparent;\n  border-radius: var(--jp-border-radius);\n  margin-bottom: 1em;\n}\n\n.jp-RenderedHTMLCommon .alert-info {\n  color: var(--jp-info-color0);\n  background-color: var(--jp-info-color3);\n  border-color: var(--jp-info-color2);\n}\n\n.jp-RenderedHTMLCommon .alert-info hr {\n  border-color: var(--jp-info-color3);\n}\n\n.jp-RenderedHTMLCommon .alert-info > p:last-child,\n.jp-RenderedHTMLCommon .alert-info > ul:last-child {\n  margin-bottom: 0;\n}\n\n.jp-RenderedHTMLCommon .alert-warning {\n  color: var(--jp-warn-color0);\n  background-color: var(--jp-warn-color3);\n  border-color: var(--jp-warn-color2);\n}\n\n.jp-RenderedHTMLCommon .alert-warning hr {\n  border-color: var(--jp-warn-color3);\n}\n\n.jp-RenderedHTMLCommon .alert-warning > p:last-child,\n.jp-RenderedHTMLCommon .alert-warning > ul:last-child {\n  margin-bottom: 0;\n}\n\n.jp-RenderedHTMLCommon .alert-success {\n  color: var(--jp-success-color0);\n  background-color: var(--jp-success-color3);\n  border-color: var(--jp-success-color2);\n}\n\n.jp-RenderedHTMLCommon .alert-success hr {\n  border-color: var(--jp-success-color3);\n}\n\n.jp-RenderedHTMLCommon .alert-success > p:last-child,\n.jp-RenderedHTMLCommon .alert-success > ul:last-child {\n  margin-bottom: 0;\n}\n\n.jp-RenderedHTMLCommon .alert-danger {\n  color: var(--jp-error-color0);\n  background-color: var(--jp-error-color3);\n  border-color: var(--jp-error-color2);\n}\n\n.jp-RenderedHTMLCommon .alert-danger hr {\n  border-color: var(--jp-error-color3);\n}\n\n.jp-RenderedHTMLCommon .alert-danger > p:last-child,\n.jp-RenderedHTMLCommon .alert-danger > ul:last-child {\n  margin-bottom: 0;\n}\n\n.jp-RenderedHTMLCommon blockquote {\n  margin: 1em 2em;\n  padding: 0 1em;\n  border-left: 5px solid var(--jp-border-color2);\n}\n\na.jp-InternalAnchorLink {\n  visibility: hidden;\n  margin-left: 8px;\n  color: var(--md-blue-800);\n}\n\nh1:hover .jp-InternalAnchorLink,\nh2:hover .jp-InternalAnchorLink,\nh3:hover .jp-InternalAnchorLink,\nh4:hover .jp-InternalAnchorLink,\nh5:hover .jp-InternalAnchorLink,\nh6:hover .jp-InternalAnchorLink {\n  visibility: visible;\n}\n\n.jp-RenderedHTMLCommon kbd {\n  background-color: var(--jp-rendermime-table-row-background);\n  border: 1px solid var(--jp-border-color0);\n  border-bottom-color: var(--jp-border-color2);\n  border-radius: 3px;\n  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);\n  display: inline-block;\n  font-size: var(--jp-ui-font-size0);\n  line-height: 1em;\n  padding: 0.2em 0.5em;\n}\n\n\/* Most direct children of .jp-RenderedHTMLCommon have a margin-bottom of 1.0.\n * At the bottom of cells this is a bit too much as there is also spacing\n * between cells. Going all the way to 0 gets too tight between markdown and\n * code cells.\n *\/\n.jp-RenderedHTMLCommon > *:last-child {\n  margin-bottom: 0.5em;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Copyright (c) 2014-2017, PhosphorJS Contributors\n|\n| Distributed under the terms of the BSD 3-Clause License.\n|\n| The full license is in the file LICENSE, distributed with this software.\n|----------------------------------------------------------------------------*\/\n\n.lm-cursor-backdrop {\n  position: fixed;\n  width: 200px;\n  height: 200px;\n  margin-top: -100px;\n  margin-left: -100px;\n  will-change: transform;\n  z-index: 100;\n}\n\n.lm-mod-drag-image {\n  will-change: transform;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n.jp-lineFormSearch {\n  padding: 4px 12px;\n  background-color: var(--jp-layout-color2);\n  box-shadow: var(--jp-toolbar-box-shadow);\n  z-index: 2;\n  font-size: var(--jp-ui-font-size1);\n}\n\n.jp-lineFormCaption {\n  font-size: var(--jp-ui-font-size0);\n  line-height: var(--jp-ui-font-size1);\n  margin-top: 4px;\n  color: var(--jp-ui-font-color0);\n}\n\n.jp-baseLineForm {\n  border: none;\n  border-radius: 0;\n  position: absolute;\n  background-size: 16px;\n  background-repeat: no-repeat;\n  background-position: center;\n  outline: none;\n}\n\n.jp-lineFormButtonContainer {\n  top: 4px;\n  right: 8px;\n  height: 24px;\n  padding: 0 12px;\n  width: 12px;\n}\n\n.jp-lineFormButtonIcon {\n  top: 0;\n  right: 0;\n  background-color: var(--jp-brand-color1);\n  height: 100%;\n  width: 100%;\n  box-sizing: border-box;\n  padding: 4px 6px;\n}\n\n.jp-lineFormButton {\n  top: 0;\n  right: 0;\n  background-color: transparent;\n  height: 100%;\n  width: 100%;\n  box-sizing: border-box;\n}\n\n.jp-lineFormWrapper {\n  overflow: hidden;\n  padding: 0 8px;\n  border: 1px solid var(--jp-border-color0);\n  background-color: var(--jp-input-active-background);\n  height: 22px;\n}\n\n.jp-lineFormWrapperFocusWithin {\n  border: var(--jp-border-width) solid var(--md-blue-500);\n  box-shadow: inset 0 0 4px var(--md-blue-300);\n}\n\n.jp-lineFormInput {\n  background: transparent;\n  width: 200px;\n  height: 100%;\n  border: none;\n  outline: none;\n  color: var(--jp-ui-font-color0);\n  line-height: 28px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2014-2016, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-JSONEditor {\n  display: flex;\n  flex-direction: column;\n  width: 100%;\n}\n\n.jp-JSONEditor-host {\n  flex: 1 1 auto;\n  border: var(--jp-border-width) solid var(--jp-input-border-color);\n  border-radius: 0;\n  background: var(--jp-layout-color0);\n  min-height: 50px;\n  padding: 1px;\n}\n\n.jp-JSONEditor.jp-mod-error .jp-JSONEditor-host {\n  border-color: red;\n  outline-color: red;\n}\n\n.jp-JSONEditor-header {\n  display: flex;\n  flex: 1 0 auto;\n  padding: 0 0 0 12px;\n}\n\n.jp-JSONEditor-header label {\n  flex: 0 0 auto;\n}\n\n.jp-JSONEditor-commitButton {\n  height: 16px;\n  width: 16px;\n  background-size: 18px;\n  background-repeat: no-repeat;\n  background-position: center;\n}\n\n.jp-JSONEditor-host.jp-mod-focused {\n  background-color: var(--jp-input-active-background);\n  border: 1px solid var(--jp-input-active-border-color);\n  box-shadow: var(--jp-input-box-shadow);\n}\n\n.jp-Editor.jp-mod-dropTarget {\n  border: var(--jp-border-width) solid var(--jp-input-active-border-color);\n  box-shadow: var(--jp-input-box-shadow);\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n.jp-DocumentSearch-input {\n  border: none;\n  outline: none;\n  color: var(--jp-ui-font-color0);\n  font-size: var(--jp-ui-font-size1);\n  background-color: var(--jp-layout-color0);\n  font-family: var(--jp-ui-font-family);\n  padding: 2px 1px;\n  resize: none;\n}\n\n.jp-DocumentSearch-overlay {\n  position: absolute;\n  background-color: var(--jp-toolbar-background);\n  border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color);\n  border-left: var(--jp-border-width) solid var(--jp-toolbar-border-color);\n  top: 0;\n  right: 0;\n  z-index: 7;\n  min-width: 405px;\n  padding: 2px;\n  font-size: var(--jp-ui-font-size1);\n\n  --jp-private-document-search-button-height: 20px;\n}\n\n.jp-DocumentSearch-overlay button {\n  background-color: var(--jp-toolbar-background);\n  outline: 0;\n}\n\n.jp-DocumentSearch-overlay button:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-DocumentSearch-overlay button:active {\n  background-color: var(--jp-layout-color3);\n}\n\n.jp-DocumentSearch-overlay-row {\n  display: flex;\n  align-items: center;\n  margin-bottom: 2px;\n}\n\n.jp-DocumentSearch-button-content {\n  display: inline-block;\n  cursor: pointer;\n  box-sizing: border-box;\n  width: 100%;\n  height: 100%;\n}\n\n.jp-DocumentSearch-button-content svg {\n  width: 100%;\n  height: 100%;\n}\n\n.jp-DocumentSearch-input-wrapper {\n  border: var(--jp-border-width) solid var(--jp-border-color0);\n  display: flex;\n  background-color: var(--jp-layout-color0);\n  margin: 2px;\n}\n\n.jp-DocumentSearch-input-wrapper:focus-within {\n  border-color: var(--jp-cell-editor-active-border-color);\n}\n\n.jp-DocumentSearch-toggle-wrapper,\n.jp-DocumentSearch-button-wrapper {\n  all: initial;\n  overflow: hidden;\n  display: inline-block;\n  border: none;\n  box-sizing: border-box;\n}\n\n.jp-DocumentSearch-toggle-wrapper {\n  width: 14px;\n  height: 14px;\n}\n\n.jp-DocumentSearch-button-wrapper {\n  width: var(--jp-private-document-search-button-height);\n  height: var(--jp-private-document-search-button-height);\n}\n\n.jp-DocumentSearch-toggle-wrapper:focus,\n.jp-DocumentSearch-button-wrapper:focus {\n  outline: var(--jp-border-width) solid\n    var(--jp-cell-editor-active-border-color);\n  outline-offset: -1px;\n}\n\n.jp-DocumentSearch-toggle-wrapper,\n.jp-DocumentSearch-button-wrapper,\n.jp-DocumentSearch-button-content:focus {\n  outline: none;\n}\n\n.jp-DocumentSearch-toggle-placeholder {\n  width: 5px;\n}\n\n.jp-DocumentSearch-input-button::before {\n  display: block;\n  padding-top: 100%;\n}\n\n.jp-DocumentSearch-input-button-off {\n  opacity: var(--jp-search-toggle-off-opacity);\n}\n\n.jp-DocumentSearch-input-button-off:hover {\n  opacity: var(--jp-search-toggle-hover-opacity);\n}\n\n.jp-DocumentSearch-input-button-on {\n  opacity: var(--jp-search-toggle-on-opacity);\n}\n\n.jp-DocumentSearch-index-counter {\n  padding-left: 10px;\n  padding-right: 10px;\n  user-select: none;\n  min-width: 35px;\n  display: inline-block;\n}\n\n.jp-DocumentSearch-up-down-wrapper {\n  display: inline-block;\n  padding-right: 2px;\n  margin-left: auto;\n  white-space: nowrap;\n}\n\n.jp-DocumentSearch-spacer {\n  margin-left: auto;\n}\n\n.jp-DocumentSearch-up-down-wrapper button {\n  outline: 0;\n  border: none;\n  width: var(--jp-private-document-search-button-height);\n  height: var(--jp-private-document-search-button-height);\n  vertical-align: middle;\n  margin: 1px 5px 2px;\n}\n\n.jp-DocumentSearch-up-down-button:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-DocumentSearch-up-down-button:active {\n  background-color: var(--jp-layout-color3);\n}\n\n.jp-DocumentSearch-filter-button {\n  border-radius: var(--jp-border-radius);\n}\n\n.jp-DocumentSearch-filter-button:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-DocumentSearch-filter-button-enabled {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-DocumentSearch-filter-button-enabled:hover {\n  background-color: var(--jp-layout-color3);\n}\n\n.jp-DocumentSearch-search-options {\n  padding: 0 8px;\n  margin-left: 3px;\n  width: 100%;\n  display: grid;\n  justify-content: start;\n  grid-template-columns: 1fr 1fr;\n  align-items: center;\n  justify-items: stretch;\n}\n\n.jp-DocumentSearch-search-filter-disabled {\n  color: var(--jp-ui-font-color2);\n}\n\n.jp-DocumentSearch-search-filter {\n  display: flex;\n  align-items: center;\n  user-select: none;\n}\n\n.jp-DocumentSearch-regex-error {\n  color: var(--jp-error-color0);\n}\n\n.jp-DocumentSearch-replace-button-wrapper {\n  overflow: hidden;\n  display: inline-block;\n  box-sizing: border-box;\n  border: var(--jp-border-width) solid var(--jp-border-color0);\n  margin: auto 2px;\n  padding: 1px 4px;\n  height: calc(var(--jp-private-document-search-button-height) + 2px);\n}\n\n.jp-DocumentSearch-replace-button-wrapper:focus {\n  border: var(--jp-border-width) solid var(--jp-cell-editor-active-border-color);\n}\n\n.jp-DocumentSearch-replace-button {\n  display: inline-block;\n  text-align: center;\n  cursor: pointer;\n  box-sizing: border-box;\n  color: var(--jp-ui-font-color1);\n\n  \/* height - 2 * (padding of wrapper) *\/\n  line-height: calc(var(--jp-private-document-search-button-height) - 2px);\n  width: 100%;\n  height: 100%;\n}\n\n.jp-DocumentSearch-replace-button:focus {\n  outline: none;\n}\n\n.jp-DocumentSearch-replace-wrapper-class {\n  margin-left: 14px;\n  display: flex;\n}\n\n.jp-DocumentSearch-replace-toggle {\n  border: none;\n  background-color: var(--jp-toolbar-background);\n  border-radius: var(--jp-border-radius);\n}\n\n.jp-DocumentSearch-replace-toggle:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.cm-editor {\n  line-height: var(--jp-code-line-height);\n  font-size: var(--jp-code-font-size);\n  font-family: var(--jp-code-font-family);\n  border: 0;\n  border-radius: 0;\n  height: auto;\n\n  \/* Changed to auto to autogrow *\/\n}\n\n.cm-editor pre {\n  padding: 0 var(--jp-code-padding);\n}\n\n.jp-CodeMirrorEditor[data-type='inline'] .cm-dialog {\n  background-color: var(--jp-layout-color0);\n  color: var(--jp-content-font-color1);\n}\n\n.jp-CodeMirrorEditor {\n  cursor: text;\n}\n\n\/* When zoomed out 67% and 33% on a screen of 1440 width x 900 height *\/\n@media screen and (min-width: 2138px) and (max-width: 4319px) {\n  .jp-CodeMirrorEditor[data-type='inline'] .cm-cursor {\n    border-left: var(--jp-code-cursor-width1) solid\n      var(--jp-editor-cursor-color);\n  }\n}\n\n\/* When zoomed out less than 33% *\/\n@media screen and (min-width: 4320px) {\n  .jp-CodeMirrorEditor[data-type='inline'] .cm-cursor {\n    border-left: var(--jp-code-cursor-width2) solid\n      var(--jp-editor-cursor-color);\n  }\n}\n\n.cm-editor.jp-mod-readOnly .cm-cursor {\n  display: none;\n}\n\n.jp-CollaboratorCursor {\n  border-left: 5px solid transparent;\n  border-right: 5px solid transparent;\n  border-top: none;\n  border-bottom: 3px solid;\n  background-clip: content-box;\n  margin-left: -5px;\n  margin-right: -5px;\n}\n\n.cm-searching,\n.cm-searching span {\n  \/* `.cm-searching span`: we need to override syntax highlighting *\/\n  background-color: var(--jp-search-unselected-match-background-color);\n  color: var(--jp-search-unselected-match-color);\n}\n\n.cm-searching::selection,\n.cm-searching span::selection {\n  background-color: var(--jp-search-unselected-match-background-color);\n  color: var(--jp-search-unselected-match-color);\n}\n\n.jp-current-match > .cm-searching,\n.jp-current-match > .cm-searching span,\n.cm-searching > .jp-current-match,\n.cm-searching > .jp-current-match span {\n  background-color: var(--jp-search-selected-match-background-color);\n  color: var(--jp-search-selected-match-color);\n}\n\n.jp-current-match > .cm-searching::selection,\n.cm-searching > .jp-current-match::selection,\n.jp-current-match > .cm-searching span::selection {\n  background-color: var(--jp-search-selected-match-background-color);\n  color: var(--jp-search-selected-match-color);\n}\n\n.cm-trailingspace {\n  background-image: url(data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAFCAYAAAB4ka1VAAAAsElEQVQIHQGlAFr\/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA7+r3zKmT0\/+pk9P\/7+r3zAAAAAAAAAAABAAAAAAAAAAA6OPzM+\/q9wAAAAAA6OPzMwAAAAAAAAAAAgAAAAAAAAAAGR8NiRQaCgAZIA0AGR8NiQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQyoYJ\/SY80UAAAAASUVORK5CYII=);\n  background-position: center left;\n  background-repeat: repeat-x;\n}\n\n.jp-CollaboratorCursor-hover {\n  position: absolute;\n  z-index: 1;\n  transform: translateX(-50%);\n  color: white;\n  border-radius: 3px;\n  padding-left: 4px;\n  padding-right: 4px;\n  padding-top: 1px;\n  padding-bottom: 1px;\n  text-align: center;\n  font-size: var(--jp-ui-font-size1);\n  white-space: nowrap;\n}\n\n.jp-CodeMirror-ruler {\n  border-left: 1px dashed var(--jp-border-color2);\n}\n\n\/* Styles for shared cursors (remote cursor locations and selected ranges) *\/\n.jp-CodeMirrorEditor .cm-ySelectionCaret {\n  position: relative;\n  border-left: 1px solid black;\n  margin-left: -1px;\n  margin-right: -1px;\n  box-sizing: border-box;\n}\n\n.jp-CodeMirrorEditor .cm-ySelectionCaret > .cm-ySelectionInfo {\n  white-space: nowrap;\n  position: absolute;\n  top: -1.15em;\n  padding-bottom: 0.05em;\n  left: -1px;\n  font-size: 0.95em;\n  font-family: var(--jp-ui-font-family);\n  font-weight: bold;\n  line-height: normal;\n  user-select: none;\n  color: white;\n  padding-left: 2px;\n  padding-right: 2px;\n  z-index: 101;\n  transition: opacity 0.3s ease-in-out;\n}\n\n.jp-CodeMirrorEditor .cm-ySelectionInfo {\n  transition-delay: 0.7s;\n  opacity: 0;\n}\n\n.jp-CodeMirrorEditor .cm-ySelectionCaret:hover > .cm-ySelectionInfo {\n  opacity: 1;\n  transition-delay: 0s;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-MimeDocument {\n  outline: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Variables\n|----------------------------------------------------------------------------*\/\n\n:root {\n  --jp-private-filebrowser-button-height: 28px;\n  --jp-private-filebrowser-button-width: 48px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-FileBrowser .jp-SidePanel-content {\n  display: flex;\n  flex-direction: column;\n}\n\n.jp-FileBrowser-toolbar.jp-Toolbar {\n  flex-wrap: wrap;\n  row-gap: 12px;\n  border-bottom: none;\n  height: auto;\n  margin: 8px 12px 0;\n  box-shadow: none;\n  padding: 0;\n  justify-content: flex-start;\n}\n\n.jp-FileBrowser-Panel {\n  flex: 1 1 auto;\n  display: flex;\n  flex-direction: column;\n}\n\n.jp-BreadCrumbs {\n  flex: 0 0 auto;\n  margin: 8px 12px;\n}\n\n.jp-BreadCrumbs-item {\n  margin: 0 2px;\n  padding: 0 2px;\n  border-radius: var(--jp-border-radius);\n  cursor: pointer;\n}\n\n.jp-BreadCrumbs-item:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-BreadCrumbs-item:first-child {\n  margin-left: 0;\n}\n\n.jp-BreadCrumbs-item.jp-mod-dropTarget {\n  background-color: var(--jp-brand-color2);\n  opacity: 0.7;\n}\n\n\/*-----------------------------------------------------------------------------\n| Buttons\n|----------------------------------------------------------------------------*\/\n\n.jp-FileBrowser-toolbar > .jp-Toolbar-item {\n  flex: 0 0 auto;\n  padding-left: 0;\n  padding-right: 2px;\n  align-items: center;\n  height: unset;\n}\n\n.jp-FileBrowser-toolbar > .jp-Toolbar-item .jp-ToolbarButtonComponent {\n  width: 40px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Other styles\n|----------------------------------------------------------------------------*\/\n\n.jp-FileDialog.jp-mod-conflict input {\n  color: var(--jp-error-color1);\n}\n\n.jp-FileDialog .jp-new-name-title {\n  margin-top: 12px;\n}\n\n.jp-LastModified-hidden {\n  display: none;\n}\n\n.jp-FileSize-hidden {\n  display: none;\n}\n\n.jp-FileBrowser .lm-AccordionPanel > h3:first-child {\n  display: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| DirListing\n|----------------------------------------------------------------------------*\/\n\n.jp-DirListing {\n  flex: 1 1 auto;\n  display: flex;\n  flex-direction: column;\n  outline: 0;\n}\n\n.jp-DirListing-header {\n  flex: 0 0 auto;\n  display: flex;\n  flex-direction: row;\n  align-items: center;\n  overflow: hidden;\n  border-top: var(--jp-border-width) solid var(--jp-border-color2);\n  border-bottom: var(--jp-border-width) solid var(--jp-border-color1);\n  box-shadow: var(--jp-toolbar-box-shadow);\n  z-index: 2;\n}\n\n.jp-DirListing-headerItem {\n  padding: 4px 12px 2px;\n  font-weight: 500;\n}\n\n.jp-DirListing-headerItem:hover {\n  background: var(--jp-layout-color2);\n}\n\n.jp-DirListing-headerItem.jp-id-name {\n  flex: 1 0 84px;\n}\n\n.jp-DirListing-headerItem.jp-id-modified {\n  flex: 0 0 112px;\n  border-left: var(--jp-border-width) solid var(--jp-border-color2);\n  text-align: right;\n}\n\n.jp-DirListing-headerItem.jp-id-filesize {\n  flex: 0 0 75px;\n  border-left: var(--jp-border-width) solid var(--jp-border-color2);\n  text-align: right;\n}\n\n.jp-id-narrow {\n  display: none;\n  flex: 0 0 5px;\n  padding: 4px;\n  border-left: var(--jp-border-width) solid var(--jp-border-color2);\n  text-align: right;\n  color: var(--jp-border-color2);\n}\n\n.jp-DirListing-narrow .jp-id-narrow {\n  display: block;\n}\n\n.jp-DirListing-narrow .jp-id-modified,\n.jp-DirListing-narrow .jp-DirListing-itemModified {\n  display: none;\n}\n\n.jp-DirListing-headerItem.jp-mod-selected {\n  font-weight: 600;\n}\n\n\/* increase specificity to override bundled default *\/\n.jp-DirListing-content {\n  flex: 1 1 auto;\n  margin: 0;\n  padding: 0;\n  list-style-type: none;\n  overflow: auto;\n  background-color: var(--jp-layout-color1);\n}\n\n.jp-DirListing-content mark {\n  color: var(--jp-ui-font-color0);\n  background-color: transparent;\n  font-weight: bold;\n}\n\n.jp-DirListing-content .jp-DirListing-item.jp-mod-selected mark {\n  color: var(--jp-ui-inverse-font-color0);\n}\n\n\/* Style the directory listing content when a user drops a file to upload *\/\n.jp-DirListing.jp-mod-native-drop .jp-DirListing-content {\n  outline: 5px dashed rgba(128, 128, 128, 0.5);\n  outline-offset: -10px;\n  cursor: copy;\n}\n\n.jp-DirListing-item {\n  display: flex;\n  flex-direction: row;\n  align-items: center;\n  padding: 4px 12px;\n  -webkit-user-select: none;\n  -moz-user-select: none;\n  -ms-user-select: none;\n  user-select: none;\n}\n\n.jp-DirListing-checkboxWrapper {\n  \/* Increases hit area of checkbox. *\/\n  padding: 4px;\n}\n\n.jp-DirListing-header\n  .jp-DirListing-checkboxWrapper\n  + .jp-DirListing-headerItem {\n  padding-left: 4px;\n}\n\n.jp-DirListing-content .jp-DirListing-checkboxWrapper {\n  position: relative;\n  left: -4px;\n  margin: -4px 0 -4px -8px;\n}\n\n.jp-DirListing-checkboxWrapper.jp-mod-visible {\n  visibility: visible;\n}\n\n\/* For devices that support hovering, hide checkboxes until hovered, selected...\n*\/\n@media (hover: hover) {\n  .jp-DirListing-checkboxWrapper {\n    visibility: hidden;\n  }\n\n  .jp-DirListing-item:hover .jp-DirListing-checkboxWrapper,\n  .jp-DirListing-item.jp-mod-selected .jp-DirListing-checkboxWrapper {\n    visibility: visible;\n  }\n}\n\n.jp-DirListing-item[data-is-dot] {\n  opacity: 75%;\n}\n\n.jp-DirListing-item.jp-mod-selected {\n  color: var(--jp-ui-inverse-font-color1);\n  background: var(--jp-brand-color1);\n}\n\n.jp-DirListing-item.jp-mod-dropTarget {\n  background: var(--jp-brand-color3);\n}\n\n.jp-DirListing-item:hover:not(.jp-mod-selected) {\n  background: var(--jp-layout-color2);\n}\n\n.jp-DirListing-itemIcon {\n  flex: 0 0 20px;\n  margin-right: 4px;\n}\n\n.jp-DirListing-itemText {\n  flex: 1 0 64px;\n  white-space: nowrap;\n  overflow: hidden;\n  text-overflow: ellipsis;\n  user-select: none;\n}\n\n.jp-DirListing-itemText:focus {\n  outline-width: 2px;\n  outline-color: var(--jp-inverse-layout-color1);\n  outline-style: solid;\n  outline-offset: 1px;\n}\n\n.jp-DirListing-item.jp-mod-selected .jp-DirListing-itemText:focus {\n  outline-color: var(--jp-layout-color1);\n}\n\n.jp-DirListing-itemModified {\n  flex: 0 0 125px;\n  text-align: right;\n}\n\n.jp-DirListing-itemFileSize {\n  flex: 0 0 90px;\n  text-align: right;\n}\n\n.jp-DirListing-editor {\n  flex: 1 0 64px;\n  outline: none;\n  border: none;\n  color: var(--jp-ui-font-color1);\n  background-color: var(--jp-layout-color1);\n}\n\n.jp-DirListing-item.jp-mod-running .jp-DirListing-itemIcon::before {\n  color: var(--jp-success-color1);\n  content: '\\25CF';\n  font-size: 8px;\n  position: absolute;\n  left: -8px;\n}\n\n.jp-DirListing-item.jp-mod-running.jp-mod-selected\n  .jp-DirListing-itemIcon::before {\n  color: var(--jp-ui-inverse-font-color1);\n}\n\n.jp-DirListing-item.lm-mod-drag-image,\n.jp-DirListing-item.jp-mod-selected.lm-mod-drag-image {\n  font-size: var(--jp-ui-font-size1);\n  padding-left: 4px;\n  margin-left: 4px;\n  width: 160px;\n  background-color: var(--jp-ui-inverse-font-color2);\n  box-shadow: var(--jp-elevation-z2);\n  border-radius: 0;\n  color: var(--jp-ui-font-color1);\n  transform: translateX(-40%) translateY(-58%);\n}\n\n.jp-Document {\n  min-width: 120px;\n  min-height: 120px;\n  outline: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Main OutputArea\n| OutputArea has a list of Outputs\n|----------------------------------------------------------------------------*\/\n\n.jp-OutputArea {\n  overflow-y: auto;\n}\n\n.jp-OutputArea-child {\n  display: table;\n  table-layout: fixed;\n  width: 100%;\n  overflow: hidden;\n}\n\n.jp-OutputPrompt {\n  width: var(--jp-cell-prompt-width);\n  color: var(--jp-cell-outprompt-font-color);\n  font-family: var(--jp-cell-prompt-font-family);\n  padding: var(--jp-code-padding);\n  letter-spacing: var(--jp-cell-prompt-letter-spacing);\n  line-height: var(--jp-code-line-height);\n  font-size: var(--jp-code-font-size);\n  border: var(--jp-border-width) solid transparent;\n  opacity: var(--jp-cell-prompt-opacity);\n\n  \/* Right align prompt text, don't wrap to handle large prompt numbers *\/\n  text-align: right;\n  white-space: nowrap;\n  overflow: hidden;\n  text-overflow: ellipsis;\n\n  \/* Disable text selection *\/\n  -webkit-user-select: none;\n  -moz-user-select: none;\n  -ms-user-select: none;\n  user-select: none;\n}\n\n.jp-OutputArea-prompt {\n  display: table-cell;\n  vertical-align: top;\n}\n\n.jp-OutputArea-output {\n  display: table-cell;\n  width: 100%;\n  height: auto;\n  overflow: auto;\n  user-select: text;\n  -moz-user-select: text;\n  -webkit-user-select: text;\n  -ms-user-select: text;\n}\n\n.jp-OutputArea .jp-RenderedText {\n  padding-left: 1ch;\n}\n\n\/**\n * Prompt overlay.\n *\/\n\n.jp-OutputArea-promptOverlay {\n  position: absolute;\n  top: 0;\n  width: var(--jp-cell-prompt-width);\n  height: 100%;\n  opacity: 0.5;\n}\n\n.jp-OutputArea-promptOverlay:hover {\n  background: var(--jp-layout-color2);\n  box-shadow: inset 0 0 1px var(--jp-inverse-layout-color0);\n  cursor: zoom-out;\n}\n\n.jp-mod-outputsScrolled .jp-OutputArea-promptOverlay:hover {\n  cursor: zoom-in;\n}\n\n\/**\n * Isolated output.\n *\/\n.jp-OutputArea-output.jp-mod-isolated {\n  width: 100%;\n  display: block;\n}\n\n\/*\nWhen drag events occur, `lm-mod-override-cursor` is added to the body.\nBecause iframes steal all cursor events, the following two rules are necessary\nto suppress pointer events while resize drags are occurring. There may be a\nbetter solution to this problem.\n*\/\nbody.lm-mod-override-cursor .jp-OutputArea-output.jp-mod-isolated {\n  position: relative;\n}\n\nbody.lm-mod-override-cursor .jp-OutputArea-output.jp-mod-isolated::before {\n  content: '';\n  position: absolute;\n  top: 0;\n  left: 0;\n  right: 0;\n  bottom: 0;\n  background: transparent;\n}\n\n\/* pre *\/\n\n.jp-OutputArea-output pre {\n  border: none;\n  margin: 0;\n  padding: 0;\n  overflow-x: auto;\n  overflow-y: auto;\n  word-break: break-all;\n  word-wrap: break-word;\n  white-space: pre-wrap;\n}\n\n\/* tables *\/\n\n.jp-OutputArea-output.jp-RenderedHTMLCommon table {\n  margin-left: 0;\n  margin-right: 0;\n}\n\n\/* description lists *\/\n\n.jp-OutputArea-output dl,\n.jp-OutputArea-output dt,\n.jp-OutputArea-output dd {\n  display: block;\n}\n\n.jp-OutputArea-output dl {\n  width: 100%;\n  overflow: hidden;\n  padding: 0;\n  margin: 0;\n}\n\n.jp-OutputArea-output dt {\n  font-weight: bold;\n  float: left;\n  width: 20%;\n  padding: 0;\n  margin: 0;\n}\n\n.jp-OutputArea-output dd {\n  float: left;\n  width: 80%;\n  padding: 0;\n  margin: 0;\n}\n\n.jp-TrimmedOutputs pre {\n  background: var(--jp-layout-color3);\n  font-size: calc(var(--jp-code-font-size) * 1.4);\n  text-align: center;\n  text-transform: uppercase;\n}\n\n\/* Hide the gutter in case of\n *  - nested output areas (e.g. in the case of output widgets)\n *  - mirrored output areas\n *\/\n.jp-OutputArea .jp-OutputArea .jp-OutputArea-prompt {\n  display: none;\n}\n\n\/* Hide empty lines in the output area, for instance due to cleared widgets *\/\n.jp-OutputArea-prompt:empty {\n  padding: 0;\n  border: 0;\n}\n\n\/*-----------------------------------------------------------------------------\n| executeResult is added to any Output-result for the display of the object\n| returned by a cell\n|----------------------------------------------------------------------------*\/\n\n.jp-OutputArea-output.jp-OutputArea-executeResult {\n  margin-left: 0;\n  width: 100%;\n}\n\n\/* Text output with the Out[] prompt needs a top padding to match the\n * alignment of the Out[] prompt itself.\n *\/\n.jp-OutputArea-executeResult .jp-RenderedText.jp-OutputArea-output {\n  padding-top: var(--jp-code-padding);\n  border-top: var(--jp-border-width) solid transparent;\n}\n\n\/*-----------------------------------------------------------------------------\n| The Stdin output\n|----------------------------------------------------------------------------*\/\n\n.jp-Stdin-prompt {\n  color: var(--jp-content-font-color0);\n  padding-right: var(--jp-code-padding);\n  vertical-align: baseline;\n  flex: 0 0 auto;\n}\n\n.jp-Stdin-input {\n  font-family: var(--jp-code-font-family);\n  font-size: inherit;\n  color: inherit;\n  background-color: inherit;\n  width: 42%;\n  min-width: 200px;\n\n  \/* make sure input baseline aligns with prompt *\/\n  vertical-align: baseline;\n\n  \/* padding + margin = 0.5em between prompt and cursor *\/\n  padding: 0 0.25em;\n  margin: 0 0.25em;\n  flex: 0 0 70%;\n}\n\n.jp-Stdin-input::placeholder {\n  opacity: 0;\n}\n\n.jp-Stdin-input:focus {\n  box-shadow: none;\n}\n\n.jp-Stdin-input:focus::placeholder {\n  opacity: 1;\n}\n\n\/*-----------------------------------------------------------------------------\n| Output Area View\n|----------------------------------------------------------------------------*\/\n\n.jp-LinkedOutputView .jp-OutputArea {\n  height: 100%;\n  display: block;\n}\n\n.jp-LinkedOutputView .jp-OutputArea-output:only-child {\n  height: 100%;\n}\n\n\/*-----------------------------------------------------------------------------\n| Printing\n|----------------------------------------------------------------------------*\/\n\n@media print {\n  .jp-OutputArea-child {\n    break-inside: avoid-page;\n  }\n}\n\n\/*-----------------------------------------------------------------------------\n| Mobile\n|----------------------------------------------------------------------------*\/\n@media only screen and (max-width: 760px) {\n  .jp-OutputPrompt {\n    display: table-row;\n    text-align: left;\n  }\n\n  .jp-OutputArea-child .jp-OutputArea-output {\n    display: table-row;\n    margin-left: var(--jp-notebook-padding);\n  }\n}\n\n\/* Trimmed outputs warning *\/\n.jp-TrimmedOutputs > a {\n  margin: 10px;\n  text-decoration: none;\n  cursor: pointer;\n}\n\n.jp-TrimmedOutputs > a:hover {\n  text-decoration: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Table of Contents\n|----------------------------------------------------------------------------*\/\n\n:root {\n  --jp-private-toc-active-width: 4px;\n}\n\n.jp-TableOfContents {\n  display: flex;\n  flex-direction: column;\n  background: var(--jp-layout-color1);\n  color: var(--jp-ui-font-color1);\n  font-size: var(--jp-ui-font-size1);\n  height: 100%;\n}\n\n.jp-TableOfContents-placeholder {\n  text-align: center;\n}\n\n.jp-TableOfContents-placeholderContent {\n  color: var(--jp-content-font-color2);\n  padding: 8px;\n}\n\n.jp-TableOfContents-placeholderContent > h3 {\n  margin-bottom: var(--jp-content-heading-margin-bottom);\n}\n\n.jp-TableOfContents .jp-SidePanel-content {\n  overflow-y: auto;\n}\n\n.jp-TableOfContents-tree {\n  margin: 4px;\n}\n\n.jp-TableOfContents ol {\n  list-style-type: none;\n}\n\n\/* stylelint-disable-next-line selector-max-type *\/\n.jp-TableOfContents li > ol {\n  \/* Align left border with triangle icon center *\/\n  padding-left: 11px;\n}\n\n.jp-TableOfContents-content {\n  \/* left margin for the active heading indicator *\/\n  margin: 0 0 0 var(--jp-private-toc-active-width);\n  padding: 0;\n  background-color: var(--jp-layout-color1);\n}\n\n.jp-tocItem {\n  -webkit-user-select: none;\n  -moz-user-select: none;\n  -ms-user-select: none;\n  user-select: none;\n}\n\n.jp-tocItem-heading {\n  display: flex;\n  cursor: pointer;\n}\n\n.jp-tocItem-heading:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-tocItem-content {\n  display: block;\n  padding: 4px 0;\n  white-space: nowrap;\n  text-overflow: ellipsis;\n  overflow-x: hidden;\n}\n\n.jp-tocItem-collapser {\n  height: 20px;\n  margin: 2px 2px 0;\n  padding: 0;\n  background: none;\n  border: none;\n  cursor: pointer;\n}\n\n.jp-tocItem-collapser:hover {\n  background-color: var(--jp-layout-color3);\n}\n\n\/* Active heading indicator *\/\n\n.jp-tocItem-heading::before {\n  content: ' ';\n  background: transparent;\n  width: var(--jp-private-toc-active-width);\n  height: 24px;\n  position: absolute;\n  left: 0;\n  border-radius: var(--jp-border-radius);\n}\n\n.jp-tocItem-heading.jp-tocItem-active::before {\n  background-color: var(--jp-brand-color1);\n}\n\n.jp-tocItem-heading:hover.jp-tocItem-active::before {\n  background: var(--jp-brand-color0);\n  opacity: 1;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-Collapser {\n  flex: 0 0 var(--jp-cell-collapser-width);\n  padding: 0;\n  margin: 0;\n  border: none;\n  outline: none;\n  background: transparent;\n  border-radius: var(--jp-border-radius);\n  opacity: 1;\n}\n\n.jp-Collapser-child {\n  display: block;\n  width: 100%;\n  box-sizing: border-box;\n\n  \/* height: 100% doesn't work because the height of its parent is computed from content *\/\n  position: absolute;\n  top: 0;\n  bottom: 0;\n}\n\n\/*-----------------------------------------------------------------------------\n| Printing\n|----------------------------------------------------------------------------*\/\n\n\/*\nHiding collapsers in print mode.\n\nNote: input and output wrappers have \"display: block\" propery in print mode.\n*\/\n\n@media print {\n  .jp-Collapser {\n    display: none;\n  }\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Header\/Footer\n|----------------------------------------------------------------------------*\/\n\n\/* Hidden by zero height by default *\/\n.jp-CellHeader,\n.jp-CellFooter {\n  height: 0;\n  width: 100%;\n  padding: 0;\n  margin: 0;\n  border: none;\n  outline: none;\n  background: transparent;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Input\n|----------------------------------------------------------------------------*\/\n\n\/* All input areas *\/\n.jp-InputArea {\n  display: table;\n  table-layout: fixed;\n  width: 100%;\n  overflow: hidden;\n}\n\n.jp-InputArea-editor {\n  display: table-cell;\n  overflow: hidden;\n  vertical-align: top;\n\n  \/* This is the non-active, default styling *\/\n  border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);\n  border-radius: 0;\n  background: var(--jp-cell-editor-background);\n}\n\n.jp-InputPrompt {\n  display: table-cell;\n  vertical-align: top;\n  width: var(--jp-cell-prompt-width);\n  color: var(--jp-cell-inprompt-font-color);\n  font-family: var(--jp-cell-prompt-font-family);\n  padding: var(--jp-code-padding);\n  letter-spacing: var(--jp-cell-prompt-letter-spacing);\n  opacity: var(--jp-cell-prompt-opacity);\n  line-height: var(--jp-code-line-height);\n  font-size: var(--jp-code-font-size);\n  border: var(--jp-border-width) solid transparent;\n\n  \/* Right align prompt text, don't wrap to handle large prompt numbers *\/\n  text-align: right;\n  white-space: nowrap;\n  overflow: hidden;\n  text-overflow: ellipsis;\n\n  \/* Disable text selection *\/\n  -webkit-user-select: none;\n  -moz-user-select: none;\n  -ms-user-select: none;\n  user-select: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| Mobile\n|----------------------------------------------------------------------------*\/\n@media only screen and (max-width: 760px) {\n  .jp-InputArea-editor {\n    display: table-row;\n    margin-left: var(--jp-notebook-padding);\n  }\n\n  .jp-InputPrompt {\n    display: table-row;\n    text-align: left;\n  }\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Placeholder\n|----------------------------------------------------------------------------*\/\n\n.jp-Placeholder {\n  display: table;\n  table-layout: fixed;\n  width: 100%;\n}\n\n.jp-Placeholder-prompt {\n  display: table-cell;\n  box-sizing: border-box;\n}\n\n.jp-Placeholder-content {\n  display: table-cell;\n  padding: 4px 6px;\n  border: 1px solid transparent;\n  border-radius: 0;\n  background: none;\n  box-sizing: border-box;\n  cursor: pointer;\n}\n\n.jp-Placeholder-contentContainer {\n  display: flex;\n}\n\n.jp-Placeholder-content:hover,\n.jp-InputPlaceholder > .jp-Placeholder-content:hover {\n  border-color: var(--jp-layout-color3);\n}\n\n.jp-Placeholder-content .jp-MoreHorizIcon {\n  width: 32px;\n  height: 16px;\n  border: 1px solid transparent;\n  border-radius: var(--jp-border-radius);\n}\n\n.jp-Placeholder-content .jp-MoreHorizIcon:hover {\n  border: 1px solid var(--jp-border-color1);\n  box-shadow: 0 0 2px 0 rgba(0, 0, 0, 0.25);\n  background-color: var(--jp-layout-color0);\n}\n\n.jp-PlaceholderText {\n  white-space: nowrap;\n  overflow-x: hidden;\n  color: var(--jp-inverse-layout-color3);\n  font-family: var(--jp-code-font-family);\n}\n\n.jp-InputPlaceholder > .jp-Placeholder-content {\n  border-color: var(--jp-cell-editor-border-color);\n  background: var(--jp-cell-editor-background);\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Private CSS variables\n|----------------------------------------------------------------------------*\/\n\n:root {\n  --jp-private-cell-scrolling-output-offset: 5px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Cell\n|----------------------------------------------------------------------------*\/\n\n.jp-Cell {\n  padding: var(--jp-cell-padding);\n  margin: 0;\n  border: none;\n  outline: none;\n  background: transparent;\n}\n\n\/*-----------------------------------------------------------------------------\n| Common input\/output\n|----------------------------------------------------------------------------*\/\n\n.jp-Cell-inputWrapper,\n.jp-Cell-outputWrapper {\n  display: flex;\n  flex-direction: row;\n  padding: 0;\n  margin: 0;\n\n  \/* Added to reveal the box-shadow on the input and output collapsers. *\/\n  overflow: visible;\n}\n\n\/* Only input\/output areas inside cells *\/\n.jp-Cell-inputArea,\n.jp-Cell-outputArea {\n  flex: 1 1 auto;\n}\n\n\/*-----------------------------------------------------------------------------\n| Collapser\n|----------------------------------------------------------------------------*\/\n\n\/* Make the output collapser disappear when there is not output, but do so\n * in a manner that leaves it in the layout and preserves its width.\n *\/\n.jp-Cell.jp-mod-noOutputs .jp-Cell-outputCollapser {\n  border: none !important;\n  background: transparent !important;\n}\n\n.jp-Cell:not(.jp-mod-noOutputs) .jp-Cell-outputCollapser {\n  min-height: var(--jp-cell-collapser-min-height);\n}\n\n\/*-----------------------------------------------------------------------------\n| Output\n|----------------------------------------------------------------------------*\/\n\n\/* Put a space between input and output when there IS output *\/\n.jp-Cell:not(.jp-mod-noOutputs) .jp-Cell-outputWrapper {\n  margin-top: 5px;\n}\n\n.jp-CodeCell.jp-mod-outputsScrolled .jp-Cell-outputArea {\n  overflow-y: auto;\n  max-height: 24em;\n  margin-left: var(--jp-private-cell-scrolling-output-offset);\n  resize: vertical;\n}\n\n.jp-CodeCell.jp-mod-outputsScrolled .jp-Cell-outputArea[style*='height'] {\n  max-height: unset;\n}\n\n.jp-CodeCell.jp-mod-outputsScrolled .jp-Cell-outputArea::after {\n  content: ' ';\n  box-shadow: inset 0 0 6px 2px rgb(0 0 0 \/ 30%);\n  width: 100%;\n  height: 100%;\n  position: sticky;\n  bottom: 0;\n  top: 0;\n  margin-top: -50%;\n  float: left;\n  display: block;\n  pointer-events: none;\n}\n\n.jp-CodeCell.jp-mod-outputsScrolled .jp-OutputArea-child {\n  padding-top: 6px;\n}\n\n.jp-CodeCell.jp-mod-outputsScrolled .jp-OutputArea-prompt {\n  width: calc(\n    var(--jp-cell-prompt-width) - var(--jp-private-cell-scrolling-output-offset)\n  );\n}\n\n.jp-CodeCell.jp-mod-outputsScrolled .jp-OutputArea-promptOverlay {\n  left: calc(-1 * var(--jp-private-cell-scrolling-output-offset));\n}\n\n\/*-----------------------------------------------------------------------------\n| CodeCell\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| MarkdownCell\n|----------------------------------------------------------------------------*\/\n\n.jp-MarkdownOutput {\n  display: table-cell;\n  width: 100%;\n  margin-top: 0;\n  margin-bottom: 0;\n  padding-left: var(--jp-code-padding);\n}\n\n.jp-MarkdownOutput.jp-RenderedHTMLCommon {\n  overflow: auto;\n}\n\n\/* collapseHeadingButton (show always if hiddenCellsButton is _not_ shown) *\/\n.jp-collapseHeadingButton {\n  display: flex;\n  min-height: var(--jp-cell-collapser-min-height);\n  font-size: var(--jp-code-font-size);\n  position: absolute;\n  background-color: transparent;\n  background-size: 25px;\n  background-repeat: no-repeat;\n  background-position-x: center;\n  background-position-y: top;\n  background-image: var(--jp-icon-caret-down);\n  right: 0;\n  top: 0;\n  bottom: 0;\n}\n\n.jp-collapseHeadingButton.jp-mod-collapsed {\n  background-image: var(--jp-icon-caret-right);\n}\n\n\/*\n set the container font size to match that of content\n so that the nested collapse buttons have the right size\n*\/\n.jp-MarkdownCell .jp-InputPrompt {\n  font-size: var(--jp-content-font-size1);\n}\n\n\/*\n  Align collapseHeadingButton with cell top header\n  The font sizes are identical to the ones in packages\/rendermime\/style\/base.css\n*\/\n.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='1'] {\n  font-size: var(--jp-content-font-size5);\n  background-position-y: calc(0.3 * var(--jp-content-font-size5));\n}\n\n.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='2'] {\n  font-size: var(--jp-content-font-size4);\n  background-position-y: calc(0.3 * var(--jp-content-font-size4));\n}\n\n.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='3'] {\n  font-size: var(--jp-content-font-size3);\n  background-position-y: calc(0.3 * var(--jp-content-font-size3));\n}\n\n.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='4'] {\n  font-size: var(--jp-content-font-size2);\n  background-position-y: calc(0.3 * var(--jp-content-font-size2));\n}\n\n.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='5'] {\n  font-size: var(--jp-content-font-size1);\n  background-position-y: top;\n}\n\n.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='6'] {\n  font-size: var(--jp-content-font-size0);\n  background-position-y: top;\n}\n\n\/* collapseHeadingButton (show only on (hover,active) if hiddenCellsButton is shown) *\/\n.jp-Notebook.jp-mod-showHiddenCellsButton .jp-collapseHeadingButton {\n  display: none;\n}\n\n.jp-Notebook.jp-mod-showHiddenCellsButton\n  :is(.jp-MarkdownCell:hover, .jp-mod-active)\n  .jp-collapseHeadingButton {\n  display: flex;\n}\n\n\/* showHiddenCellsButton (only show if jp-mod-showHiddenCellsButton is set, which\nis a consequence of the showHiddenCellsButton option in Notebook Settings)*\/\n.jp-Notebook.jp-mod-showHiddenCellsButton .jp-showHiddenCellsButton {\n  margin-left: calc(var(--jp-cell-prompt-width) + 2 * var(--jp-code-padding));\n  margin-top: var(--jp-code-padding);\n  border: 1px solid var(--jp-border-color2);\n  background-color: var(--jp-border-color3) !important;\n  color: var(--jp-content-font-color0) !important;\n  display: flex;\n}\n\n.jp-Notebook.jp-mod-showHiddenCellsButton .jp-showHiddenCellsButton:hover {\n  background-color: var(--jp-border-color2) !important;\n}\n\n.jp-showHiddenCellsButton {\n  display: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| Printing\n|----------------------------------------------------------------------------*\/\n\n\/*\nUsing block instead of flex to allow the use of the break-inside CSS property for\ncell outputs.\n*\/\n\n@media print {\n  .jp-Cell-inputWrapper,\n  .jp-Cell-outputWrapper {\n    display: block;\n  }\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Variables\n|----------------------------------------------------------------------------*\/\n\n:root {\n  --jp-notebook-toolbar-padding: 2px 5px 2px 2px;\n}\n\n\/*-----------------------------------------------------------------------------\n\n\/*-----------------------------------------------------------------------------\n| Styles\n|----------------------------------------------------------------------------*\/\n\n.jp-NotebookPanel-toolbar {\n  padding: var(--jp-notebook-toolbar-padding);\n\n  \/* disable paint containment from lumino 2.0 default strict CSS containment *\/\n  contain: style size !important;\n}\n\n.jp-Toolbar-item.jp-Notebook-toolbarCellType .jp-select-wrapper.jp-mod-focused {\n  border: none;\n  box-shadow: none;\n}\n\n.jp-Notebook-toolbarCellTypeDropdown select {\n  height: 24px;\n  font-size: var(--jp-ui-font-size1);\n  line-height: 14px;\n  border-radius: 0;\n  display: block;\n}\n\n.jp-Notebook-toolbarCellTypeDropdown span {\n  top: 5px !important;\n}\n\n.jp-Toolbar-responsive-popup {\n  position: absolute;\n  height: fit-content;\n  display: flex;\n  flex-direction: row;\n  flex-wrap: wrap;\n  justify-content: flex-end;\n  border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color);\n  box-shadow: var(--jp-toolbar-box-shadow);\n  background: var(--jp-toolbar-background);\n  min-height: var(--jp-toolbar-micro-height);\n  padding: var(--jp-notebook-toolbar-padding);\n  z-index: 1;\n  right: 0;\n  top: 0;\n}\n\n.jp-Toolbar > .jp-Toolbar-responsive-opener {\n  margin-left: auto;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Variables\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n\n\/*-----------------------------------------------------------------------------\n| Styles\n|----------------------------------------------------------------------------*\/\n\n.jp-Notebook-ExecutionIndicator {\n  position: relative;\n  display: inline-block;\n  height: 100%;\n  z-index: 9997;\n}\n\n.jp-Notebook-ExecutionIndicator-tooltip {\n  visibility: hidden;\n  height: auto;\n  width: max-content;\n  width: -moz-max-content;\n  background-color: var(--jp-layout-color2);\n  color: var(--jp-ui-font-color1);\n  text-align: justify;\n  border-radius: 6px;\n  padding: 0 5px;\n  position: fixed;\n  display: table;\n}\n\n.jp-Notebook-ExecutionIndicator-tooltip.up {\n  transform: translateX(-50%) translateY(-100%) translateY(-32px);\n}\n\n.jp-Notebook-ExecutionIndicator-tooltip.down {\n  transform: translateX(calc(-100% + 16px)) translateY(5px);\n}\n\n.jp-Notebook-ExecutionIndicator-tooltip.hidden {\n  display: none;\n}\n\n.jp-Notebook-ExecutionIndicator:hover .jp-Notebook-ExecutionIndicator-tooltip {\n  visibility: visible;\n}\n\n.jp-Notebook-ExecutionIndicator span {\n  font-size: var(--jp-ui-font-size1);\n  font-family: var(--jp-ui-font-family);\n  color: var(--jp-ui-font-color1);\n  line-height: 24px;\n  display: block;\n}\n\n.jp-Notebook-ExecutionIndicator-progress-bar {\n  display: flex;\n  justify-content: center;\n  height: 100%;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/*\n * Execution indicator\n *\/\n.jp-tocItem-content::after {\n  content: '';\n\n  \/* Must be identical to form a circle *\/\n  width: 12px;\n  height: 12px;\n  background: none;\n  border: none;\n  position: absolute;\n  right: 0;\n}\n\n.jp-tocItem-content[data-running='0']::after {\n  border-radius: 50%;\n  border: var(--jp-border-width) solid var(--jp-inverse-layout-color3);\n  background: none;\n}\n\n.jp-tocItem-content[data-running='1']::after {\n  border-radius: 50%;\n  border: var(--jp-border-width) solid var(--jp-inverse-layout-color3);\n  background-color: var(--jp-inverse-layout-color3);\n}\n\n.jp-tocItem-content[data-running='0'],\n.jp-tocItem-content[data-running='1'] {\n  margin-right: 12px;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n.jp-Notebook-footer {\n  height: 27px;\n  margin-left: calc(\n    var(--jp-cell-prompt-width) + var(--jp-cell-collapser-width) +\n      var(--jp-cell-padding)\n  );\n  width: calc(\n    100% -\n      (\n        var(--jp-cell-prompt-width) + var(--jp-cell-collapser-width) +\n          var(--jp-cell-padding) + var(--jp-cell-padding)\n      )\n  );\n  border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);\n  color: var(--jp-ui-font-color3);\n  margin-top: 6px;\n  background: none;\n  cursor: pointer;\n}\n\n.jp-Notebook-footer:focus {\n  border-color: var(--jp-cell-editor-active-border-color);\n}\n\n\/* For devices that support hovering, hide footer until hover *\/\n@media (hover: hover) {\n  .jp-Notebook-footer {\n    opacity: 0;\n  }\n\n  .jp-Notebook-footer:focus,\n  .jp-Notebook-footer:hover {\n    opacity: 1;\n  }\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Imports\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| CSS variables\n|----------------------------------------------------------------------------*\/\n\n:root {\n  --jp-side-by-side-output-size: 1fr;\n  --jp-side-by-side-resized-cell: var(--jp-side-by-side-output-size);\n  --jp-private-notebook-dragImage-width: 304px;\n  --jp-private-notebook-dragImage-height: 36px;\n  --jp-private-notebook-selected-color: var(--md-blue-400);\n  --jp-private-notebook-active-color: var(--md-green-400);\n}\n\n\/*-----------------------------------------------------------------------------\n| Notebook\n|----------------------------------------------------------------------------*\/\n\n\/* stylelint-disable selector-max-class *\/\n\n.jp-NotebookPanel {\n  display: block;\n  height: 100%;\n}\n\n.jp-NotebookPanel.jp-Document {\n  min-width: 240px;\n  min-height: 120px;\n}\n\n.jp-Notebook {\n  padding: var(--jp-notebook-padding);\n  outline: none;\n  overflow: auto;\n  background: var(--jp-layout-color0);\n}\n\n.jp-Notebook.jp-mod-scrollPastEnd::after {\n  display: block;\n  content: '';\n  min-height: var(--jp-notebook-scroll-padding);\n}\n\n.jp-MainAreaWidget-ContainStrict .jp-Notebook * {\n  contain: strict;\n}\n\n.jp-Notebook .jp-Cell {\n  overflow: visible;\n}\n\n.jp-Notebook .jp-Cell .jp-InputPrompt {\n  cursor: move;\n}\n\n\/*-----------------------------------------------------------------------------\n| Notebook state related styling\n|\n| The notebook and cells each have states, here are the possibilities:\n|\n| - Notebook\n|   - Command\n|   - Edit\n| - Cell\n|   - None\n|   - Active (only one can be active)\n|   - Selected (the cells actions are applied to)\n|   - Multiselected (when multiple selected, the cursor)\n|   - No outputs\n|----------------------------------------------------------------------------*\/\n\n\/* Command or edit modes *\/\n\n.jp-Notebook .jp-Cell:not(.jp-mod-active) .jp-InputPrompt {\n  opacity: var(--jp-cell-prompt-not-active-opacity);\n  color: var(--jp-cell-prompt-not-active-font-color);\n}\n\n.jp-Notebook .jp-Cell:not(.jp-mod-active) .jp-OutputPrompt {\n  opacity: var(--jp-cell-prompt-not-active-opacity);\n  color: var(--jp-cell-prompt-not-active-font-color);\n}\n\n\/* cell is active *\/\n.jp-Notebook .jp-Cell.jp-mod-active .jp-Collapser {\n  background: var(--jp-brand-color1);\n}\n\n\/* cell is dirty *\/\n.jp-Notebook .jp-Cell.jp-mod-dirty .jp-InputPrompt {\n  color: var(--jp-warn-color1);\n}\n\n.jp-Notebook .jp-Cell.jp-mod-dirty .jp-InputPrompt::before {\n  color: var(--jp-warn-color1);\n  content: '\u2022';\n}\n\n.jp-Notebook .jp-Cell.jp-mod-active.jp-mod-dirty .jp-Collapser {\n  background: var(--jp-warn-color1);\n}\n\n\/* collapser is hovered *\/\n.jp-Notebook .jp-Cell .jp-Collapser:hover {\n  box-shadow: var(--jp-elevation-z2);\n  background: var(--jp-brand-color1);\n  opacity: var(--jp-cell-collapser-not-active-hover-opacity);\n}\n\n\/* cell is active and collapser is hovered *\/\n.jp-Notebook .jp-Cell.jp-mod-active .jp-Collapser:hover {\n  background: var(--jp-brand-color0);\n  opacity: 1;\n}\n\n\/* Command mode *\/\n\n.jp-Notebook.jp-mod-commandMode .jp-Cell.jp-mod-selected {\n  background: var(--jp-notebook-multiselected-color);\n}\n\n.jp-Notebook.jp-mod-commandMode\n  .jp-Cell.jp-mod-active.jp-mod-selected:not(.jp-mod-multiSelected) {\n  background: transparent;\n}\n\n\/* Edit mode *\/\n\n.jp-Notebook.jp-mod-editMode .jp-Cell.jp-mod-active .jp-InputArea-editor {\n  border: var(--jp-border-width) solid var(--jp-cell-editor-active-border-color);\n  box-shadow: var(--jp-input-box-shadow);\n  background-color: var(--jp-cell-editor-active-background);\n}\n\n\/*-----------------------------------------------------------------------------\n| Notebook drag and drop\n|----------------------------------------------------------------------------*\/\n\n.jp-Notebook-cell.jp-mod-dropSource {\n  opacity: 0.5;\n}\n\n.jp-Notebook-cell.jp-mod-dropTarget,\n.jp-Notebook.jp-mod-commandMode\n  .jp-Notebook-cell.jp-mod-active.jp-mod-selected.jp-mod-dropTarget {\n  border-top-color: var(--jp-private-notebook-selected-color);\n  border-top-style: solid;\n  border-top-width: 2px;\n}\n\n.jp-dragImage {\n  display: block;\n  flex-direction: row;\n  width: var(--jp-private-notebook-dragImage-width);\n  height: var(--jp-private-notebook-dragImage-height);\n  border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);\n  background: var(--jp-cell-editor-background);\n  overflow: visible;\n}\n\n.jp-dragImage-singlePrompt {\n  box-shadow: 2px 2px 4px 0 rgba(0, 0, 0, 0.12);\n}\n\n.jp-dragImage .jp-dragImage-content {\n  flex: 1 1 auto;\n  z-index: 2;\n  font-size: var(--jp-code-font-size);\n  font-family: var(--jp-code-font-family);\n  line-height: var(--jp-code-line-height);\n  padding: var(--jp-code-padding);\n  border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);\n  background: var(--jp-cell-editor-background-color);\n  color: var(--jp-content-font-color3);\n  text-align: left;\n  margin: 4px 4px 4px 0;\n}\n\n.jp-dragImage .jp-dragImage-prompt {\n  flex: 0 0 auto;\n  min-width: 36px;\n  color: var(--jp-cell-inprompt-font-color);\n  padding: var(--jp-code-padding);\n  padding-left: 12px;\n  font-family: var(--jp-cell-prompt-font-family);\n  letter-spacing: var(--jp-cell-prompt-letter-spacing);\n  line-height: 1.9;\n  font-size: var(--jp-code-font-size);\n  border: var(--jp-border-width) solid transparent;\n}\n\n.jp-dragImage-multipleBack {\n  z-index: -1;\n  position: absolute;\n  height: 32px;\n  width: 300px;\n  top: 8px;\n  left: 8px;\n  background: var(--jp-layout-color2);\n  border: var(--jp-border-width) solid var(--jp-input-border-color);\n  box-shadow: 2px 2px 4px 0 rgba(0, 0, 0, 0.12);\n}\n\n\/*-----------------------------------------------------------------------------\n| Cell toolbar\n|----------------------------------------------------------------------------*\/\n\n.jp-NotebookTools {\n  display: block;\n  min-width: var(--jp-sidebar-min-width);\n  color: var(--jp-ui-font-color1);\n  background: var(--jp-layout-color1);\n\n  \/* This is needed so that all font sizing of children done in ems is\n    * relative to this base size *\/\n  font-size: var(--jp-ui-font-size1);\n  overflow: auto;\n}\n\n.jp-ActiveCellTool {\n  padding: 12px 0;\n  display: flex;\n}\n\n.jp-ActiveCellTool-Content {\n  flex: 1 1 auto;\n}\n\n.jp-ActiveCellTool .jp-ActiveCellTool-CellContent {\n  background: var(--jp-cell-editor-background);\n  border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);\n  border-radius: 0;\n  min-height: 29px;\n}\n\n.jp-ActiveCellTool .jp-InputPrompt {\n  min-width: calc(var(--jp-cell-prompt-width) * 0.75);\n}\n\n.jp-ActiveCellTool-CellContent > pre {\n  padding: 5px 4px;\n  margin: 0;\n  white-space: normal;\n}\n\n.jp-MetadataEditorTool {\n  flex-direction: column;\n  padding: 12px 0;\n}\n\n.jp-RankedPanel > :not(:first-child) {\n  margin-top: 12px;\n}\n\n.jp-KeySelector select.jp-mod-styled {\n  font-size: var(--jp-ui-font-size1);\n  color: var(--jp-ui-font-color0);\n  border: var(--jp-border-width) solid var(--jp-border-color1);\n}\n\n.jp-KeySelector label,\n.jp-MetadataEditorTool label,\n.jp-NumberSetter label {\n  line-height: 1.4;\n}\n\n.jp-NotebookTools .jp-select-wrapper {\n  margin-top: 4px;\n  margin-bottom: 0;\n}\n\n.jp-NumberSetter input {\n  width: 100%;\n  margin-top: 4px;\n}\n\n.jp-NotebookTools .jp-Collapse {\n  margin-top: 16px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Presentation Mode (.jp-mod-presentationMode)\n|----------------------------------------------------------------------------*\/\n\n.jp-mod-presentationMode .jp-Notebook {\n  --jp-content-font-size1: var(--jp-content-presentation-font-size1);\n  --jp-code-font-size: var(--jp-code-presentation-font-size);\n}\n\n.jp-mod-presentationMode .jp-Notebook .jp-Cell .jp-InputPrompt,\n.jp-mod-presentationMode .jp-Notebook .jp-Cell .jp-OutputPrompt {\n  flex: 0 0 110px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Side-by-side Mode (.jp-mod-sideBySide)\n|----------------------------------------------------------------------------*\/\n.jp-mod-sideBySide.jp-Notebook .jp-Notebook-cell {\n  margin-top: 3em;\n  margin-bottom: 3em;\n  margin-left: 5%;\n  margin-right: 5%;\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell {\n  display: grid;\n  grid-template-columns: minmax(0, 1fr) min-content minmax(\n      0,\n      var(--jp-side-by-side-output-size)\n    );\n  grid-template-rows: auto minmax(0, 1fr) auto;\n  grid-template-areas:\n    'header header header'\n    'input handle output'\n    'footer footer footer';\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell.jp-mod-resizedCell {\n  grid-template-columns: minmax(0, 1fr) min-content minmax(\n      0,\n      var(--jp-side-by-side-resized-cell)\n    );\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellHeader {\n  grid-area: header;\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-Cell-inputWrapper {\n  grid-area: input;\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-Cell-outputWrapper {\n  \/* overwrite the default margin (no vertical separation needed in side by side move *\/\n  margin-top: 0;\n  grid-area: output;\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellFooter {\n  grid-area: footer;\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellResizeHandle {\n  grid-area: handle;\n  user-select: none;\n  display: block;\n  height: 100%;\n  cursor: ew-resize;\n  padding: 0 var(--jp-cell-padding);\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellResizeHandle::after {\n  content: '';\n  display: block;\n  background: var(--jp-border-color2);\n  height: 100%;\n  width: 5px;\n}\n\n.jp-mod-sideBySide.jp-Notebook\n  .jp-CodeCell.jp-mod-resizedCell\n  .jp-CellResizeHandle::after {\n  background: var(--jp-border-color0);\n}\n\n.jp-CellResizeHandle {\n  display: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| Placeholder\n|----------------------------------------------------------------------------*\/\n\n.jp-Cell-Placeholder {\n  padding-left: 55px;\n}\n\n.jp-Cell-Placeholder-wrapper {\n  background: #fff;\n  border: 1px solid;\n  border-color: #e5e6e9 #dfe0e4 #d0d1d5;\n  border-radius: 4px;\n  -webkit-border-radius: 4px;\n  margin: 10px 15px;\n}\n\n.jp-Cell-Placeholder-wrapper-inner {\n  padding: 15px;\n  position: relative;\n}\n\n.jp-Cell-Placeholder-wrapper-body {\n  background-repeat: repeat;\n  background-size: 50% auto;\n}\n\n.jp-Cell-Placeholder-wrapper-body div {\n  background: #f6f7f8;\n  background-image: -webkit-linear-gradient(\n    left,\n    #f6f7f8 0%,\n    #edeef1 20%,\n    #f6f7f8 40%,\n    #f6f7f8 100%\n  );\n  background-repeat: no-repeat;\n  background-size: 800px 104px;\n  height: 104px;\n  position: absolute;\n  right: 15px;\n  left: 15px;\n  top: 15px;\n}\n\ndiv.jp-Cell-Placeholder-h1 {\n  top: 20px;\n  height: 20px;\n  left: 15px;\n  width: 150px;\n}\n\ndiv.jp-Cell-Placeholder-h2 {\n  left: 15px;\n  top: 50px;\n  height: 10px;\n  width: 100px;\n}\n\ndiv.jp-Cell-Placeholder-content-1,\ndiv.jp-Cell-Placeholder-content-2,\ndiv.jp-Cell-Placeholder-content-3 {\n  left: 15px;\n  right: 15px;\n  height: 10px;\n}\n\ndiv.jp-Cell-Placeholder-content-1 {\n  top: 100px;\n}\n\ndiv.jp-Cell-Placeholder-content-2 {\n  top: 120px;\n}\n\ndiv.jp-Cell-Placeholder-content-3 {\n  top: 140px;\n}\n\n<\/style>\n<style type=\"text\/css\">\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*\nThe following CSS variables define the main, public API for styling JupyterLab.\nThese variables should be used by all plugins wherever possible. In other\nwords, plugins should not define custom colors, sizes, etc unless absolutely\nnecessary. This enables users to change the visual theme of JupyterLab\nby changing these variables.\n\nMany variables appear in an ordered sequence (0,1,2,3). These sequences\nare designed to work well together, so for example, `--jp-border-color1` should\nbe used with `--jp-layout-color1`. The numbers have the following meanings:\n\n* 0: super-primary, reserved for special emphasis\n* 1: primary, most important under normal situations\n* 2: secondary, next most important under normal situations\n* 3: tertiary, next most important under normal situations\n\nThroughout JupyterLab, we are mostly following principles from Google's\nMaterial Design when selecting colors. We are not, however, following\nall of MD as it is not optimized for dense, information rich UIs.\n*\/\n\n:root {\n  \/* Elevation\n   *\n   * We style box-shadows using Material Design's idea of elevation. These particular numbers are taken from here:\n   *\n   * https:\/\/github.com\/material-components\/material-components-web\n   * https:\/\/material-components-web.appspot.com\/elevation.html\n   *\/\n\n  --jp-shadow-base-lightness: 0;\n  --jp-shadow-umbra-color: rgba(\n    var(--jp-shadow-base-lightness),\n    var(--jp-shadow-base-lightness),\n    var(--jp-shadow-base-lightness),\n    0.2\n  );\n  --jp-shadow-penumbra-color: rgba(\n    var(--jp-shadow-base-lightness),\n    var(--jp-shadow-base-lightness),\n    var(--jp-shadow-base-lightness),\n    0.14\n  );\n  --jp-shadow-ambient-color: rgba(\n    var(--jp-shadow-base-lightness),\n    var(--jp-shadow-base-lightness),\n    var(--jp-shadow-base-lightness),\n    0.12\n  );\n  --jp-elevation-z0: none;\n  --jp-elevation-z1: 0 2px 1px -1px var(--jp-shadow-umbra-color),\n    0 1px 1px 0 var(--jp-shadow-penumbra-color),\n    0 1px 3px 0 var(--jp-shadow-ambient-color);\n  --jp-elevation-z2: 0 3px 1px -2px var(--jp-shadow-umbra-color),\n    0 2px 2px 0 var(--jp-shadow-penumbra-color),\n    0 1px 5px 0 var(--jp-shadow-ambient-color);\n  --jp-elevation-z4: 0 2px 4px -1px var(--jp-shadow-umbra-color),\n    0 4px 5px 0 var(--jp-shadow-penumbra-color),\n    0 1px 10px 0 var(--jp-shadow-ambient-color);\n  --jp-elevation-z6: 0 3px 5px -1px var(--jp-shadow-umbra-color),\n    0 6px 10px 0 var(--jp-shadow-penumbra-color),\n    0 1px 18px 0 var(--jp-shadow-ambient-color);\n  --jp-elevation-z8: 0 5px 5px -3px var(--jp-shadow-umbra-color),\n    0 8px 10px 1px var(--jp-shadow-penumbra-color),\n    0 3px 14px 2px var(--jp-shadow-ambient-color);\n  --jp-elevation-z12: 0 7px 8px -4px var(--jp-shadow-umbra-color),\n    0 12px 17px 2px var(--jp-shadow-penumbra-color),\n    0 5px 22px 4px var(--jp-shadow-ambient-color);\n  --jp-elevation-z16: 0 8px 10px -5px var(--jp-shadow-umbra-color),\n    0 16px 24px 2px var(--jp-shadow-penumbra-color),\n    0 6px 30px 5px var(--jp-shadow-ambient-color);\n  --jp-elevation-z20: 0 10px 13px -6px var(--jp-shadow-umbra-color),\n    0 20px 31px 3px var(--jp-shadow-penumbra-color),\n    0 8px 38px 7px var(--jp-shadow-ambient-color);\n  --jp-elevation-z24: 0 11px 15px -7px var(--jp-shadow-umbra-color),\n    0 24px 38px 3px var(--jp-shadow-penumbra-color),\n    0 9px 46px 8px var(--jp-shadow-ambient-color);\n\n  \/* Borders\n   *\n   * The following variables, specify the visual styling of borders in JupyterLab.\n   *\/\n\n  --jp-border-width: 1px;\n  --jp-border-color0: var(--md-grey-400);\n  --jp-border-color1: var(--md-grey-400);\n  --jp-border-color2: var(--md-grey-300);\n  --jp-border-color3: var(--md-grey-200);\n  --jp-inverse-border-color: var(--md-grey-600);\n  --jp-border-radius: 2px;\n\n  \/* UI Fonts\n   *\n   * The UI font CSS variables are used for the typography all of the JupyterLab\n   * user interface elements that are not directly user generated content.\n   *\n   * The font sizing here is done assuming that the body font size of --jp-ui-font-size1\n   * is applied to a parent element. When children elements, such as headings, are sized\n   * in em all things will be computed relative to that body size.\n   *\/\n\n  --jp-ui-font-scale-factor: 1.2;\n  --jp-ui-font-size0: 0.83333em;\n  --jp-ui-font-size1: 13px; \/* Base font size *\/\n  --jp-ui-font-size2: 1.2em;\n  --jp-ui-font-size3: 1.44em;\n  --jp-ui-font-family: system-ui, -apple-system, blinkmacsystemfont, 'Segoe UI',\n    helvetica, arial, sans-serif, 'Apple Color Emoji', 'Segoe UI Emoji',\n    'Segoe UI Symbol';\n\n  \/*\n   * Use these font colors against the corresponding main layout colors.\n   * In a light theme, these go from dark to light.\n   *\/\n\n  \/* Defaults use Material Design specification *\/\n  --jp-ui-font-color0: rgba(0, 0, 0, 1);\n  --jp-ui-font-color1: rgba(0, 0, 0, 0.87);\n  --jp-ui-font-color2: rgba(0, 0, 0, 0.54);\n  --jp-ui-font-color3: rgba(0, 0, 0, 0.38);\n\n  \/*\n   * Use these against the brand\/accent\/warn\/error colors.\n   * These will typically go from light to darker, in both a dark and light theme.\n   *\/\n\n  --jp-ui-inverse-font-color0: rgba(255, 255, 255, 1);\n  --jp-ui-inverse-font-color1: rgba(255, 255, 255, 1);\n  --jp-ui-inverse-font-color2: rgba(255, 255, 255, 0.7);\n  --jp-ui-inverse-font-color3: rgba(255, 255, 255, 0.5);\n\n  \/* Content Fonts\n   *\n   * Content font variables are used for typography of user generated content.\n   *\n   * The font sizing here is done assuming that the body font size of --jp-content-font-size1\n   * is applied to a parent element. When children elements, such as headings, are sized\n   * in em all things will be computed relative to that body size.\n   *\/\n\n  --jp-content-line-height: 1.6;\n  --jp-content-font-scale-factor: 1.2;\n  --jp-content-font-size0: 0.83333em;\n  --jp-content-font-size1: 14px; \/* Base font size *\/\n  --jp-content-font-size2: 1.2em;\n  --jp-content-font-size3: 1.44em;\n  --jp-content-font-size4: 1.728em;\n  --jp-content-font-size5: 2.0736em;\n\n  \/* This gives a magnification of about 125% in presentation mode over normal. *\/\n  --jp-content-presentation-font-size1: 17px;\n  --jp-content-heading-line-height: 1;\n  --jp-content-heading-margin-top: 1.2em;\n  --jp-content-heading-margin-bottom: 0.8em;\n  --jp-content-heading-font-weight: 500;\n\n  \/* Defaults use Material Design specification *\/\n  --jp-content-font-color0: rgba(0, 0, 0, 1);\n  --jp-content-font-color1: rgba(0, 0, 0, 0.87);\n  --jp-content-font-color2: rgba(0, 0, 0, 0.54);\n  --jp-content-font-color3: rgba(0, 0, 0, 0.38);\n  --jp-content-link-color: var(--md-blue-900);\n  --jp-content-font-family: system-ui, -apple-system, blinkmacsystemfont,\n    'Segoe UI', helvetica, arial, sans-serif, 'Apple Color Emoji',\n    'Segoe UI Emoji', 'Segoe UI Symbol';\n\n  \/*\n   * Code Fonts\n   *\n   * Code font variables are used for typography of code and other monospaces content.\n   *\/\n\n  --jp-code-font-size: 13px;\n  --jp-code-line-height: 1.3077; \/* 17px for 13px base *\/\n  --jp-code-padding: 5px; \/* 5px for 13px base, codemirror highlighting needs integer px value *\/\n  --jp-code-font-family-default: menlo, consolas, 'DejaVu Sans Mono', monospace;\n  --jp-code-font-family: var(--jp-code-font-family-default);\n\n  \/* This gives a magnification of about 125% in presentation mode over normal. *\/\n  --jp-code-presentation-font-size: 16px;\n\n  \/* may need to tweak cursor width if you change font size *\/\n  --jp-code-cursor-width0: 1.4px;\n  --jp-code-cursor-width1: 2px;\n  --jp-code-cursor-width2: 4px;\n\n  \/* Layout\n   *\n   * The following are the main layout colors use in JupyterLab. In a light\n   * theme these would go from light to dark.\n   *\/\n\n  --jp-layout-color0: white;\n  --jp-layout-color1: white;\n  --jp-layout-color2: var(--md-grey-200);\n  --jp-layout-color3: var(--md-grey-400);\n  --jp-layout-color4: var(--md-grey-600);\n\n  \/* Inverse Layout\n   *\n   * The following are the inverse layout colors use in JupyterLab. In a light\n   * theme these would go from dark to light.\n   *\/\n\n  --jp-inverse-layout-color0: #111;\n  --jp-inverse-layout-color1: var(--md-grey-900);\n  --jp-inverse-layout-color2: var(--md-grey-800);\n  --jp-inverse-layout-color3: var(--md-grey-700);\n  --jp-inverse-layout-color4: var(--md-grey-600);\n\n  \/* Brand\/accent *\/\n\n  --jp-brand-color0: var(--md-blue-900);\n  --jp-brand-color1: var(--md-blue-700);\n  --jp-brand-color2: var(--md-blue-300);\n  --jp-brand-color3: var(--md-blue-100);\n  --jp-brand-color4: var(--md-blue-50);\n  --jp-accent-color0: var(--md-green-900);\n  --jp-accent-color1: var(--md-green-700);\n  --jp-accent-color2: var(--md-green-300);\n  --jp-accent-color3: var(--md-green-100);\n\n  \/* State colors (warn, error, success, info) *\/\n\n  --jp-warn-color0: var(--md-orange-900);\n  --jp-warn-color1: var(--md-orange-700);\n  --jp-warn-color2: var(--md-orange-300);\n  --jp-warn-color3: var(--md-orange-100);\n  --jp-error-color0: var(--md-red-900);\n  --jp-error-color1: var(--md-red-700);\n  --jp-error-color2: var(--md-red-300);\n  --jp-error-color3: var(--md-red-100);\n  --jp-success-color0: var(--md-green-900);\n  --jp-success-color1: var(--md-green-700);\n  --jp-success-color2: var(--md-green-300);\n  --jp-success-color3: var(--md-green-100);\n  --jp-info-color0: var(--md-cyan-900);\n  --jp-info-color1: var(--md-cyan-700);\n  --jp-info-color2: var(--md-cyan-300);\n  --jp-info-color3: var(--md-cyan-100);\n\n  \/* Cell specific styles *\/\n\n  --jp-cell-padding: 5px;\n  --jp-cell-collapser-width: 8px;\n  --jp-cell-collapser-min-height: 20px;\n  --jp-cell-collapser-not-active-hover-opacity: 0.6;\n  --jp-cell-editor-background: var(--md-grey-100);\n  --jp-cell-editor-border-color: var(--md-grey-300);\n  --jp-cell-editor-box-shadow: inset 0 0 2px var(--md-blue-300);\n  --jp-cell-editor-active-background: var(--jp-layout-color0);\n  --jp-cell-editor-active-border-color: var(--jp-brand-color1);\n  --jp-cell-prompt-width: 64px;\n  --jp-cell-prompt-font-family: var(--jp-code-font-family-default);\n  --jp-cell-prompt-letter-spacing: 0;\n  --jp-cell-prompt-opacity: 1;\n  --jp-cell-prompt-not-active-opacity: 0.5;\n  --jp-cell-prompt-not-active-font-color: var(--md-grey-700);\n\n  \/* A custom blend of MD grey and blue 600\n   * See https:\/\/meyerweb.com\/eric\/tools\/color-blend\/#546E7A:1E88E5:5:hex *\/\n  --jp-cell-inprompt-font-color: #307fc1;\n\n  \/* A custom blend of MD grey and orange 600\n   * https:\/\/meyerweb.com\/eric\/tools\/color-blend\/#546E7A:F4511E:5:hex *\/\n  --jp-cell-outprompt-font-color: #bf5b3d;\n\n  \/* Notebook specific styles *\/\n\n  --jp-notebook-padding: 10px;\n  --jp-notebook-select-background: var(--jp-layout-color1);\n  --jp-notebook-multiselected-color: var(--md-blue-50);\n\n  \/* The scroll padding is calculated to fill enough space at the bottom of the\n  notebook to show one single-line cell (with appropriate padding) at the top\n  when the notebook is scrolled all the way to the bottom. We also subtract one\n  pixel so that no scrollbar appears if we have just one single-line cell in the\n  notebook. This padding is to enable a 'scroll past end' feature in a notebook.\n  *\/\n  --jp-notebook-scroll-padding: calc(\n    100% - var(--jp-code-font-size) * var(--jp-code-line-height) -\n      var(--jp-code-padding) - var(--jp-cell-padding) - 1px\n  );\n\n  \/* Rendermime styles *\/\n\n  --jp-rendermime-error-background: #fdd;\n  --jp-rendermime-table-row-background: var(--md-grey-100);\n  --jp-rendermime-table-row-hover-background: var(--md-light-blue-50);\n\n  \/* Dialog specific styles *\/\n\n  --jp-dialog-background: rgba(0, 0, 0, 0.25);\n\n  \/* Console specific styles *\/\n\n  --jp-console-padding: 10px;\n\n  \/* Toolbar specific styles *\/\n\n  --jp-toolbar-border-color: var(--jp-border-color1);\n  --jp-toolbar-micro-height: 8px;\n  --jp-toolbar-background: var(--jp-layout-color1);\n  --jp-toolbar-box-shadow: 0 0 2px 0 rgba(0, 0, 0, 0.24);\n  --jp-toolbar-header-margin: 4px 4px 0 4px;\n  --jp-toolbar-active-background: var(--md-grey-300);\n\n  \/* Statusbar specific styles *\/\n\n  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--jp-mirror-editor-variable-3-color: #085;\n  --jp-mirror-editor-punctuation-color: #05a;\n  --jp-mirror-editor-property-color: #05a;\n  --jp-mirror-editor-operator-color: #a2f;\n  --jp-mirror-editor-comment-color: #408080;\n  --jp-mirror-editor-string-color: #ba2121;\n  --jp-mirror-editor-string-2-color: #708;\n  --jp-mirror-editor-meta-color: #a2f;\n  --jp-mirror-editor-qualifier-color: #555;\n  --jp-mirror-editor-builtin-color: #008000;\n  --jp-mirror-editor-bracket-color: #997;\n  --jp-mirror-editor-tag-color: #170;\n  --jp-mirror-editor-attribute-color: #00c;\n  --jp-mirror-editor-header-color: blue;\n  --jp-mirror-editor-quote-color: #090;\n  --jp-mirror-editor-link-color: #00c;\n  --jp-mirror-editor-error-color: #f00;\n  --jp-mirror-editor-hr-color: #999;\n\n  \/*\n    RTC user specific colors.\n    These colors are used for the cursor, username in the editor,\n    and the icon of the user.\n  *\/\n\n  --jp-collaborator-color1: #ffad8e;\n  --jp-collaborator-color2: #dac83d;\n  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});\n<\/script>\n<style>\n  .jp-Mermaid:not(.jp-RenderedMermaid) {\n    display: none;\n  }\n\n  .jp-RenderedMermaid {\n    overflow: auto;\n    display: flex;\n  }\n\n  .jp-RenderedMermaid.jp-mod-warning {\n    width: auto;\n    padding: 0.5em;\n    margin-top: 0.5em;\n    border: var(--jp-border-width) solid var(--jp-warn-color2);\n    border-radius: var(--jp-border-radius);\n    color: var(--jp-ui-font-color1);\n    font-size: var(--jp-ui-font-size1);\n    white-space: pre-wrap;\n    word-wrap: break-word;\n  }\n\n  .jp-RenderedMermaid figure {\n    margin: 0;\n    overflow: auto;\n    max-width: 100%;\n  }\n\n  .jp-RenderedMermaid img {\n    max-width: 100%;\n  }\n\n  .jp-RenderedMermaid-Details > pre {\n    margin-top: 1em;\n  }\n\n  .jp-RenderedMermaid-Summary {\n    color: var(--jp-warn-color2);\n  }\n\n  .jp-RenderedMermaid:not(.jp-mod-warning) pre {\n    display: none;\n  }\n\n  .jp-RenderedMermaid-Summary > pre {\n    display: inline-block;\n    white-space: normal;\n  }\n<\/style>\n<!-- End of mermaid configuration --><\/head>\n<body class=\"jp-Notebook\" data-jp-theme-light=\"true\" data-jp-theme-name=\"JupyterLab Light\">\n<main>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p><img alt=\"QuantConnect Logo\" src=\"https:\/\/cdn.quantconnect.com\/web\/i\/icon.png\"\/><\/p>\n<hr\/>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<h1 id=\"Research-to-Production\">Research to Production<a class=\"anchor-link\" href=\"#Research-to-Production\">\u00b6<\/a><\/h1><h2 id=\"Uncorrelated-Assets\">Uncorrelated Assets<a class=\"anchor-link\" href=\"#Uncorrelated-Assets\">\u00b6<\/a><\/h2><hr>\n<h3 id=\"Introduction\">Introduction<a class=\"anchor-link\" href=\"#Introduction\">\u00b6<\/a><\/h3><p>This page explains how to you can use the Research Environment to develop and test a Uncorrelated Assets hypothesis, then put the hypothesis in production.\n<a href=\"https:\/\/www.quantconnect.com\/docs\/v2\/research-environment\/tutorials\/research-to-production\/uncorrelated-assets\">Documentation<\/a><\/p>\n<h3 id=\"Create-Hypothesis\">Create Hypothesis<a class=\"anchor-link\" href=\"#Create-Hypothesis\">\u00b6<\/a><\/h3><p>According to Modern Portfolio Thoery, asset combinations with negative or very low correlation could have lower total portfolio variance given the same level of return. Thus, uncorrelated assets allows you to find a portfolio that will, theoretically, be more diversified and resilient to extreme market events. We're testing this statement in real life scenario, while hypothesizing a portfolio with uncorrelated assets could be a consistent portfolio. In this example, we'll compare the performance of 5-least-correlated-asset portfolio (proposed) and 5-most-correlated-asset portfolio (benchmark), both equal weighting.<\/p>\n<\/hr><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<h3 id=\"Import-Libraries\">Import Libraries<a class=\"anchor-link\" href=\"#Import-Libraries\">\u00b6<\/a><\/h3><p>Load the required assembly files and data types.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In\u00a0[1]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-csharp\"><pre><span><\/span><span class=\"c1\">\/\/ We need to load assemblies at the start in their own cell<\/span>\n<span class=\"err\">#<\/span><span class=\"n\">load<\/span><span class=\"w\"> <\/span><span class=\"s\">\"..\/Initialize.csx\"<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In\u00a0[2]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-csharp\"><pre><span><\/span><span class=\"c1\">\/\/ Initialize Lean Engine.<\/span>\n<span class=\"err\">#<\/span><span class=\"n\">load<\/span><span class=\"w\"> <\/span><span class=\"s\">\"..\/QuantConnect.csx\"<\/span>\n\n<span class=\"k\">using<\/span><span class=\"w\"> <\/span><span class=\"nn\">QuantConnect<\/span><span class=\"p\">;<\/span>\n<span class=\"k\">using<\/span><span class=\"w\"> <\/span><span class=\"nn\">QuantConnect.Data<\/span><span class=\"p\">;<\/span>\n<span class=\"k\">using<\/span><span class=\"w\"> <\/span><span class=\"nn\">QuantConnect.Data.Market<\/span><span class=\"p\">;<\/span>\n<span class=\"k\">using<\/span><span class=\"w\"> <\/span><span class=\"nn\">QuantConnect.Algorithm<\/span><span class=\"p\">;<\/span>\n<span class=\"k\">using<\/span><span class=\"w\"> <\/span><span class=\"nn\">QuantConnect.Research<\/span><span class=\"p\">;<\/span>\n<span class=\"k\">using<\/span><span class=\"w\"> <\/span><span class=\"nn\">System<\/span><span class=\"p\">;<\/span>\n<span class=\"k\">using<\/span><span class=\"w\"> <\/span><span class=\"nn\">System.Linq<\/span><span class=\"p\">;<\/span>\n<span class=\"k\">using<\/span><span class=\"w\"> <\/span><span class=\"nn\">Accord.Statistics<\/span><span class=\"p\">;<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<h3 id=\"Get-Historical-Data\">Get Historical Data<a class=\"anchor-link\" href=\"#Get-Historical-Data\">\u00b6<\/a><\/h3><p>To begin, we retrieve historical data for researching.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In\u00a0[3]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-csharp\"><pre><span><\/span><span class=\"c1\">\/\/ Instantiate a QuantBook<\/span>\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">qb<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"n\">QuantBook<\/span><span class=\"p\">();<\/span>\n\n<span class=\"c1\">\/\/ Select the desired tickers for research.<\/span>\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">assets<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"n\">List<\/span><span class=\"o\">&lt;<\/span><span class=\"kt\">string<\/span><span class=\"o\">&gt;<\/span><span class=\"p\">()<\/span><span class=\"w\"> <\/span><span class=\"p\">{<\/span><span class=\"s\">\"SHY\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"TLT\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"SHV\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"TLH\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"EDV\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"BIL\"<\/span><span class=\"p\">,<\/span>\n<span class=\"w\">                              <\/span><span class=\"s\">\"SPTL\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"TBT\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"TMF\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"TMV\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"TBF\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"VGSH\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"VGIT\"<\/span><span class=\"p\">,<\/span>\n<span class=\"w\">                              <\/span><span class=\"s\">\"VGLT\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"SCHO\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"SCHR\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"SPTS\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"s\">\"GOVT\"<\/span><span class=\"p\">};<\/span>\n\n<span class=\"c1\">\/\/ Call the AddEquity method with the tickers, and their corresponding resolution.<\/span>\n<span class=\"k\">foreach<\/span><span class=\"p\">(<\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">ticker<\/span><span class=\"w\"> <\/span><span class=\"k\">in<\/span><span class=\"w\"> <\/span><span class=\"n\">assets<\/span><span class=\"p\">){<\/span>\n<span class=\"w\">    <\/span><span class=\"n\">qb<\/span><span class=\"p\">.<\/span><span class=\"n\">AddEquity<\/span><span class=\"p\">(<\/span><span class=\"n\">ticker<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"n\">Resolution<\/span><span class=\"p\">.<\/span><span class=\"n\">Minute<\/span><span class=\"p\">);<\/span>\n<span class=\"p\">}<\/span>\n\n<span class=\"c1\">\/\/ Call the History method with qb.Securities.Keys for all tickers, time argument(s), and resolution to request historical data for the symbol.<\/span>\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">history<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">qb<\/span><span class=\"p\">.<\/span><span class=\"n\">History<\/span><span class=\"p\">(<\/span><span class=\"n\">qb<\/span><span class=\"p\">.<\/span><span class=\"n\">Securities<\/span><span class=\"p\">.<\/span><span class=\"n\">Keys<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"n\">DateTime<\/span><span class=\"p\">(<\/span><span class=\"mi\">2021<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"mi\">1<\/span><span class=\"p\">),<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"n\">DateTime<\/span><span class=\"p\">(<\/span><span class=\"mi\">2021<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"mi\">12<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"mi\">31<\/span><span class=\"p\">),<\/span><span class=\"w\"> <\/span><span class=\"n\">Resolution<\/span><span class=\"p\">.<\/span><span class=\"n\">Daily<\/span><span class=\"p\">);<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<h3 id=\"Preparing-Data\">Preparing Data<a class=\"anchor-link\" href=\"#Preparing-Data\">\u00b6<\/a><\/h3><p>We'll have to process our data to get their correlation and select the least related ones.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In\u00a0[4]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-csharp\"><pre><span><\/span><span class=\"c1\">\/\/ Extract daily return for each Symbol from Slice data<\/span>\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">returns<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"n\">Dictionary<\/span><span class=\"o\">&lt;<\/span><span class=\"kt\">string<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"n\">List<\/span><span class=\"o\">&lt;<\/span><span class=\"n\">Double<\/span><span class=\"o\">&gt;&gt;<\/span><span class=\"p\">();<\/span>\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">last<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"n\">Dictionary<\/span><span class=\"o\">&lt;<\/span><span class=\"kt\">string<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"n\">Double<\/span><span class=\"o\">&gt;<\/span><span class=\"p\">();<\/span>\n<span class=\"k\">foreach<\/span><span class=\"p\">(<\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">slice<\/span><span class=\"w\"> <\/span><span class=\"k\">in<\/span><span class=\"w\"> <\/span><span class=\"n\">history<\/span><span class=\"p\">){<\/span>\n<span class=\"w\">    <\/span><span class=\"k\">foreach<\/span><span class=\"p\">(<\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">symbol<\/span><span class=\"w\"> <\/span><span class=\"k\">in<\/span><span class=\"w\"> <\/span><span class=\"n\">slice<\/span><span class=\"p\">.<\/span><span class=\"n\">Bars<\/span><span class=\"p\">.<\/span><span class=\"n\">Keys<\/span><span class=\"p\">){<\/span>\n<span class=\"w\">        <\/span><span class=\"k\">if<\/span><span class=\"p\">(<\/span><span class=\"o\">!<\/span><span class=\"n\">returns<\/span><span class=\"p\">.<\/span><span class=\"n\">ContainsKey<\/span><span class=\"p\">(<\/span><span class=\"n\">symbol<\/span><span class=\"p\">)){<\/span>\n<span class=\"w\">            <\/span><span class=\"n\">returns<\/span><span class=\"p\">.<\/span><span class=\"n\">Add<\/span><span class=\"p\">(<\/span><span class=\"n\">symbol<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"n\">List<\/span><span class=\"o\">&lt;<\/span><span class=\"n\">Double<\/span><span class=\"o\">&gt;<\/span><span class=\"p\">());<\/span>\n<span class=\"w\">            <\/span><span class=\"n\">last<\/span><span class=\"p\">.<\/span><span class=\"n\">Add<\/span><span class=\"p\">(<\/span><span class=\"n\">symbol<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"p\">(<\/span><span class=\"n\">Double<\/span><span class=\"p\">)<\/span><span class=\"n\">slice<\/span><span class=\"p\">.<\/span><span class=\"n\">Bars<\/span><span class=\"p\">[<\/span><span class=\"n\">symbol<\/span><span class=\"p\">].<\/span><span class=\"n\">Close<\/span><span class=\"p\">);<\/span>\n<span class=\"w\">        <\/span><span class=\"p\">}<\/span>\n<span class=\"w\">        <\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">change<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"p\">(<\/span><span class=\"n\">Double<\/span><span class=\"p\">)<\/span><span class=\"w\"> <\/span><span class=\"p\">((<\/span><span class=\"n\">Double<\/span><span class=\"p\">)<\/span><span class=\"n\">slice<\/span><span class=\"p\">.<\/span><span class=\"n\">Bars<\/span><span class=\"p\">[<\/span><span class=\"n\">symbol<\/span><span class=\"p\">].<\/span><span class=\"n\">Close<\/span><span class=\"w\"> <\/span><span class=\"o\">-<\/span><span class=\"w\"> <\/span><span class=\"n\">last<\/span><span class=\"p\">[<\/span><span class=\"n\">symbol<\/span><span class=\"p\">])<\/span><span class=\"o\">\/<\/span><span class=\"n\">last<\/span><span class=\"p\">[<\/span><span class=\"n\">symbol<\/span><span class=\"p\">];<\/span>\n<span class=\"w\">        <\/span><span class=\"n\">last<\/span><span class=\"p\">[<\/span><span class=\"n\">symbol<\/span><span class=\"p\">]<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"p\">(<\/span><span class=\"n\">Double<\/span><span class=\"p\">)<\/span><span class=\"n\">slice<\/span><span class=\"p\">.<\/span><span class=\"n\">Bars<\/span><span class=\"p\">[<\/span><span class=\"n\">symbol<\/span><span class=\"p\">].<\/span><span class=\"n\">Close<\/span><span class=\"p\">;<\/span>\n<span class=\"w\">        <\/span><span class=\"n\">returns<\/span><span class=\"p\">[<\/span><span class=\"n\">symbol<\/span><span class=\"p\">].<\/span><span class=\"n\">Add<\/span><span class=\"p\">(<\/span><span class=\"n\">change<\/span><span class=\"p\">);<\/span>\n<span class=\"w\">    <\/span><span class=\"p\">}<\/span><span class=\"w\">    <\/span>\n<span class=\"p\">}<\/span>\n\n<span class=\"c1\">\/\/ Convert returns into 2-d array<\/span>\n<span class=\"kt\">double<\/span><span class=\"p\">[,]<\/span><span class=\"w\"> <\/span><span class=\"n\">ret<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"kt\">double<\/span><span class=\"p\">[<\/span><span class=\"n\">returns<\/span><span class=\"p\">.<\/span><span class=\"n\">Values<\/span><span class=\"p\">.<\/span><span class=\"n\">ElementAt<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">).<\/span><span class=\"n\">Count<\/span><span class=\"w\"> <\/span><span class=\"o\">-<\/span><span class=\"w\"> <\/span><span class=\"mi\">1<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"n\">assets<\/span><span class=\"p\">.<\/span><span class=\"n\">Count<\/span><span class=\"p\">];<\/span>\n<span class=\"kt\">int<\/span><span class=\"w\"> <\/span><span class=\"n\">k<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"mi\">0<\/span><span class=\"p\">;<\/span>\n<span class=\"k\">foreach<\/span><span class=\"p\">(<\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">kvp<\/span><span class=\"w\"> <\/span><span class=\"k\">in<\/span><span class=\"w\"> <\/span><span class=\"n\">returns<\/span><span class=\"p\">)<\/span>\n<span class=\"p\">{<\/span>\n<span class=\"w\">    <\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">symbol<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">kvp<\/span><span class=\"p\">.<\/span><span class=\"n\">Key<\/span><span class=\"p\">;<\/span>\n<span class=\"w\">    <\/span><span class=\"k\">for<\/span><span class=\"p\">(<\/span><span class=\"kt\">int<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"w\"> <\/span><span class=\"o\">&lt;<\/span><span class=\"w\"> <\/span><span class=\"n\">returns<\/span><span class=\"p\">[<\/span><span class=\"n\">symbol<\/span><span class=\"p\">].<\/span><span class=\"n\">Count<\/span><span class=\"w\"> <\/span><span class=\"o\">-<\/span><span class=\"w\"> <\/span><span class=\"mi\">1<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">++<\/span><span class=\"p\">)<\/span>\n<span class=\"w\">    <\/span><span class=\"p\">{<\/span>\n<span class=\"w\">        <\/span><span class=\"n\">ret<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"n\">k<\/span><span class=\"p\">]<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">returns<\/span><span class=\"p\">[<\/span><span class=\"n\">symbol<\/span><span class=\"p\">][<\/span><span class=\"n\">i<\/span><span class=\"w\"> <\/span><span class=\"o\">+<\/span><span class=\"w\"> <\/span><span class=\"mi\">1<\/span><span class=\"p\">];<\/span>\n<span class=\"w\">    <\/span><span class=\"p\">}<\/span>\n<span class=\"w\">    <\/span><span class=\"n\">k<\/span><span class=\"o\">++<\/span><span class=\"p\">;<\/span>\n<span class=\"p\">}<\/span>\n\n<span class=\"c1\">\/\/ Write a function to obtain the least and most correlated 5 assets.<\/span>\n<span class=\"k\">public<\/span><span class=\"w\"> <\/span><span class=\"n\">Dictionary<\/span><span class=\"o\">&lt;<\/span><span class=\"kt\">string<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"n\">Double<\/span><span class=\"o\">&gt;<\/span><span class=\"w\"> <\/span><span class=\"n\">GetCorrelations<\/span><span class=\"p\">(<\/span><span class=\"kt\">double<\/span><span class=\"p\">[,]<\/span><span class=\"w\"> <\/span><span class=\"n\">returns<\/span><span class=\"p\">){<\/span>\n<span class=\"w\">    <\/span><span class=\"c1\">\/\/ Get correlation matrix<\/span>\n<span class=\"w\">    <\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">corrMatrix<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">Measures<\/span><span class=\"p\">.<\/span><span class=\"n\">Correlation<\/span><span class=\"p\">(<\/span><span class=\"n\">ret<\/span><span class=\"p\">);<\/span>\n<span class=\"w\">    <\/span>\n<span class=\"w\">    <\/span><span class=\"c1\">\/\/ Find the absolute sum correlation of the assets<\/span>\n<span class=\"w\">    <\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">correlations<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"n\">Dictionary<\/span><span class=\"o\">&lt;<\/span><span class=\"kt\">string<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"n\">Double<\/span><span class=\"o\">&gt;<\/span><span class=\"p\">();<\/span>\n<span class=\"w\">    <\/span><span class=\"k\">for<\/span><span class=\"p\">(<\/span><span class=\"kt\">int<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"w\"> <\/span><span class=\"o\">&lt;<\/span><span class=\"w\"> <\/span><span class=\"n\">corrMatrix<\/span><span class=\"p\">.<\/span><span class=\"n\">GetLength<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">);<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">++<\/span><span class=\"p\">)<\/span>\n<span class=\"w\">    <\/span><span class=\"p\">{<\/span>\n<span class=\"w\">        <\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">symbol<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">assets<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">];<\/span>\n<span class=\"w\">        <\/span><span class=\"k\">if<\/span><span class=\"p\">(<\/span><span class=\"o\">!<\/span><span class=\"n\">correlations<\/span><span class=\"p\">.<\/span><span class=\"n\">ContainsKey<\/span><span class=\"p\">(<\/span><span class=\"n\">symbol<\/span><span class=\"p\">)){<\/span>\n<span class=\"w\">            <\/span><span class=\"n\">correlations<\/span><span class=\"p\">.<\/span><span class=\"n\">Add<\/span><span class=\"p\">(<\/span><span class=\"n\">symbol<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"mi\">0<\/span><span class=\"p\">);<\/span>\n<span class=\"w\">        <\/span><span class=\"p\">}<\/span>\n<span class=\"w\">        <\/span><span class=\"k\">for<\/span><span class=\"w\"> <\/span><span class=\"p\">(<\/span><span class=\"kt\">int<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"w\"> <\/span><span class=\"o\">&lt;<\/span><span class=\"w\"> <\/span><span class=\"n\">corrMatrix<\/span><span class=\"p\">.<\/span><span class=\"n\">GetLength<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"o\">++<\/span><span class=\"p\">)<\/span>\n<span class=\"w\">        <\/span><span class=\"p\">{<\/span>\n<span class=\"w\">            <\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">value_<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">corrMatrix<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"p\">];<\/span>\n<span class=\"w\">            <\/span><span class=\"n\">correlations<\/span><span class=\"p\">[<\/span><span class=\"n\">symbol<\/span><span class=\"p\">]<\/span><span class=\"w\"> <\/span><span class=\"o\">+=<\/span><span class=\"w\"> <\/span><span class=\"n\">value_<\/span><span class=\"w\"> <\/span><span class=\"o\">&gt;=<\/span><span class=\"w\"> <\/span><span class=\"mi\">0<\/span><span class=\"w\"> <\/span><span class=\"o\">?<\/span><span class=\"w\"> <\/span><span class=\"n\">value_<\/span><span class=\"w\"> <\/span><span class=\"p\">:<\/span><span class=\"w\"> <\/span><span class=\"o\">-<\/span><span class=\"n\">value_<\/span><span class=\"p\">;<\/span>\n<span class=\"w\">        <\/span><span class=\"p\">}<\/span>\n<span class=\"w\">    <\/span><span class=\"p\">}<\/span>\n<span class=\"w\">    <\/span>\n<span class=\"w\">    <\/span><span class=\"k\">return<\/span><span class=\"w\"> <\/span><span class=\"n\">correlations<\/span><span class=\"p\">;<\/span>\n<span class=\"p\">}<\/span>\n\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">corr<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">GetCorrelations<\/span><span class=\"p\">(<\/span><span class=\"n\">ret<\/span><span class=\"p\">);<\/span>\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">selected<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">corr<\/span><span class=\"p\">.<\/span><span class=\"n\">OrderBy<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"w\"> <\/span><span class=\"o\">=&gt;<\/span><span class=\"w\"> <\/span><span class=\"n\">x<\/span><span class=\"p\">.<\/span><span class=\"n\">Value<\/span><span class=\"p\">).<\/span><span class=\"n\">Take<\/span><span class=\"p\">(<\/span><span class=\"mi\">5<\/span><span class=\"p\">);<\/span>\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">benchmark<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">corr<\/span><span class=\"p\">.<\/span><span class=\"n\">OrderBy<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"w\"> <\/span><span class=\"o\">=&gt;<\/span><span class=\"w\"> <\/span><span class=\"n\">x<\/span><span class=\"p\">.<\/span><span class=\"n\">Value<\/span><span class=\"p\">).<\/span><span class=\"n\">TakeLast<\/span><span class=\"p\">(<\/span><span class=\"mi\">5<\/span><span class=\"p\">);<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<h3 id=\"Test-the-Hypothesis\">Test the Hypothesis<a class=\"anchor-link\" href=\"#Test-the-Hypothesis\">\u00b6<\/a><\/h3><p>To test the hypothesis: Our desired outcome would be a consistent and low fluctuation equity curve should be seen, as compared with benchmark.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In\u00a0[5]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-csharp\"><pre><span><\/span><span class=\"c1\">\/\/ Construct an equal weighting portfolio for the 5-uncorrelated-asset-portfolio and the 5-correlated-asset-portfolio (benchmark).<\/span>\n<span class=\"kt\">double<\/span><span class=\"p\">[,]<\/span><span class=\"w\"> <\/span><span class=\"n\">portRet<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"kt\">double<\/span><span class=\"p\">[<\/span><span class=\"n\">returns<\/span><span class=\"p\">.<\/span><span class=\"n\">Values<\/span><span class=\"p\">.<\/span><span class=\"n\">ElementAt<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">).<\/span><span class=\"n\">Count<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"mi\">5<\/span><span class=\"p\">];<\/span>\n<span class=\"kt\">int<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"mi\">0<\/span><span class=\"p\">;<\/span>\n<span class=\"k\">foreach<\/span><span class=\"p\">(<\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">kvp<\/span><span class=\"w\"> <\/span><span class=\"k\">in<\/span><span class=\"w\"> <\/span><span class=\"n\">selected<\/span><span class=\"p\">){<\/span>\n<span class=\"w\">    <\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">symbol<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">kvp<\/span><span class=\"p\">.<\/span><span class=\"n\">Key<\/span><span class=\"p\">;<\/span>\n<span class=\"w\">    <\/span><span class=\"k\">for<\/span><span class=\"p\">(<\/span><span class=\"kt\">int<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"w\"> <\/span><span class=\"o\">&lt;<\/span><span class=\"w\"> <\/span><span class=\"n\">returns<\/span><span class=\"p\">[<\/span><span class=\"n\">symbol<\/span><span class=\"p\">].<\/span><span class=\"n\">Count<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">++<\/span><span class=\"p\">)<\/span>\n<span class=\"w\">    <\/span><span class=\"p\">{<\/span>\n<span class=\"w\">        <\/span><span class=\"n\">portRet<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"p\">]<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">returns<\/span><span class=\"p\">[<\/span><span class=\"n\">symbol<\/span><span class=\"p\">][<\/span><span class=\"n\">i<\/span><span class=\"p\">]<\/span><span class=\"w\"> <\/span><span class=\"o\">\/<\/span><span class=\"w\"> <\/span><span class=\"mi\">5<\/span><span class=\"p\">;<\/span>\n<span class=\"w\">    <\/span><span class=\"p\">}<\/span>\n<span class=\"w\">    <\/span><span class=\"n\">j<\/span><span class=\"o\">++<\/span><span class=\"p\">;<\/span>\n<span class=\"p\">}<\/span>\n\n<span class=\"kt\">double<\/span><span class=\"p\">[,]<\/span><span class=\"w\"> <\/span><span class=\"n\">benchRet<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"kt\">double<\/span><span class=\"p\">[<\/span><span class=\"n\">returns<\/span><span class=\"p\">.<\/span><span class=\"n\">Values<\/span><span class=\"p\">.<\/span><span class=\"n\">ElementAt<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">).<\/span><span class=\"n\">Count<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"mi\">5<\/span><span class=\"p\">];<\/span>\n<span class=\"n\">j<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"mi\">0<\/span><span class=\"p\">;<\/span>\n<span class=\"k\">foreach<\/span><span class=\"p\">(<\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">kvp<\/span><span class=\"w\"> <\/span><span class=\"k\">in<\/span><span class=\"w\"> <\/span><span class=\"n\">benchmark<\/span><span class=\"p\">){<\/span>\n<span class=\"w\">    <\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">symbol<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">kvp<\/span><span class=\"p\">.<\/span><span class=\"n\">Key<\/span><span class=\"p\">;<\/span>\n<span class=\"w\">    <\/span><span class=\"k\">for<\/span><span class=\"p\">(<\/span><span class=\"kt\">int<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"w\"> <\/span><span class=\"o\">&lt;<\/span><span class=\"w\"> <\/span><span class=\"n\">returns<\/span><span class=\"p\">[<\/span><span class=\"n\">symbol<\/span><span class=\"p\">].<\/span><span class=\"n\">Count<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">++<\/span><span class=\"p\">)<\/span>\n<span class=\"w\">    <\/span><span class=\"p\">{<\/span>\n<span class=\"w\">        <\/span><span class=\"n\">benchRet<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"p\">]<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">returns<\/span><span class=\"p\">[<\/span><span class=\"n\">symbol<\/span><span class=\"p\">][<\/span><span class=\"n\">i<\/span><span class=\"p\">]<\/span><span class=\"w\"> <\/span><span class=\"o\">\/<\/span><span class=\"w\"> <\/span><span class=\"mi\">5<\/span><span class=\"p\">;<\/span>\n<span class=\"w\">    <\/span><span class=\"p\">}<\/span>\n<span class=\"w\">    <\/span><span class=\"n\">j<\/span><span class=\"o\">++<\/span><span class=\"p\">;<\/span>\n<span class=\"p\">}<\/span>\n\n<span class=\"c1\">\/\/ Get the Equity Return of both portfolios.<\/span>\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">totalValue<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"n\">List<\/span><span class=\"o\">&lt;<\/span><span class=\"kt\">double<\/span><span class=\"o\">&gt;<\/span><span class=\"p\">{<\/span><span class=\"mf\">1.0<\/span><span class=\"p\">};<\/span>\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">dailySum<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"mf\">0.0<\/span><span class=\"p\">;<\/span>\n<span class=\"k\">for<\/span><span class=\"p\">(<\/span><span class=\"kt\">int<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"w\"> <\/span><span class=\"o\">&lt;<\/span><span class=\"w\"> <\/span><span class=\"n\">portRet<\/span><span class=\"p\">.<\/span><span class=\"n\">GetLength<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">);<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">++<\/span><span class=\"p\">)<\/span>\n<span class=\"p\">{<\/span>\n<span class=\"w\">    <\/span><span class=\"n\">totalValue<\/span><span class=\"p\">.<\/span><span class=\"n\">Add<\/span><span class=\"p\">(<\/span><span class=\"n\">totalValue<\/span><span class=\"p\">.<\/span><span class=\"n\">Last<\/span><span class=\"p\">()<\/span><span class=\"w\"> <\/span><span class=\"o\">*<\/span><span class=\"w\"> <\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"w\"> <\/span><span class=\"o\">+<\/span><span class=\"w\"> <\/span><span class=\"n\">dailySum<\/span><span class=\"p\">));<\/span>\n<span class=\"w\">    <\/span><span class=\"n\">dailySum<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"mf\">0.0<\/span><span class=\"p\">;<\/span>\n<span class=\"w\">    <\/span><span class=\"k\">for<\/span><span class=\"w\"> <\/span><span class=\"p\">(<\/span><span class=\"kt\">int<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"w\"> <\/span><span class=\"o\">&lt;<\/span><span class=\"w\"> <\/span><span class=\"n\">portRet<\/span><span class=\"p\">.<\/span><span class=\"n\">GetLength<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"o\">++<\/span><span class=\"p\">)<\/span>\n<span class=\"w\">    <\/span><span class=\"p\">{<\/span>\n<span class=\"w\">        <\/span><span class=\"k\">if<\/span><span class=\"w\"> <\/span><span class=\"p\">(<\/span><span class=\"kt\">double<\/span><span class=\"p\">.<\/span><span class=\"n\">IsFinite<\/span><span class=\"p\">(<\/span><span class=\"n\">portRet<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"p\">]))<\/span>\n<span class=\"w\">        <\/span><span class=\"p\">{<\/span>\n<span class=\"w\">            <\/span><span class=\"n\">dailySum<\/span><span class=\"w\"> <\/span><span class=\"o\">+=<\/span><span class=\"w\"> <\/span><span class=\"n\">portRet<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"p\">];<\/span>\n<span class=\"w\">        <\/span><span class=\"p\">}<\/span>\n<span class=\"w\">    <\/span><span class=\"p\">}<\/span>\n<span class=\"p\">}<\/span>\n\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">totalValueBench<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"n\">List<\/span><span class=\"o\">&lt;<\/span><span class=\"kt\">double<\/span><span class=\"o\">&gt;<\/span><span class=\"p\">{<\/span><span class=\"mf\">1.0<\/span><span class=\"p\">};<\/span>\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">dailySumBench<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"mf\">0.0<\/span><span class=\"p\">;<\/span>\n<span class=\"k\">for<\/span><span class=\"p\">(<\/span><span class=\"kt\">int<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"w\"> <\/span><span class=\"o\">&lt;<\/span><span class=\"w\"> <\/span><span class=\"n\">benchRet<\/span><span class=\"p\">.<\/span><span class=\"n\">GetLength<\/span><span class=\"p\">(<\/span><span class=\"mi\">0<\/span><span class=\"p\">);<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">++<\/span><span class=\"p\">)<\/span>\n<span class=\"p\">{<\/span>\n<span class=\"w\">    <\/span><span class=\"n\">totalValueBench<\/span><span class=\"p\">.<\/span><span class=\"n\">Add<\/span><span class=\"p\">(<\/span><span class=\"n\">totalValueBench<\/span><span class=\"p\">.<\/span><span class=\"n\">Last<\/span><span class=\"p\">()<\/span><span class=\"w\"> <\/span><span class=\"o\">*<\/span><span class=\"w\"> <\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"w\"> <\/span><span class=\"o\">+<\/span><span class=\"w\"> <\/span><span class=\"n\">dailySumBench<\/span><span class=\"p\">));<\/span>\n<span class=\"w\">    <\/span><span class=\"n\">dailySumBench<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"mf\">0.0<\/span><span class=\"p\">;<\/span>\n<span class=\"w\">    <\/span><span class=\"k\">for<\/span><span class=\"w\"> <\/span><span class=\"p\">(<\/span><span class=\"kt\">int<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"w\"> <\/span><span class=\"o\">&lt;<\/span><span class=\"w\"> <\/span><span class=\"n\">benchRet<\/span><span class=\"p\">.<\/span><span class=\"n\">GetLength<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">);<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"o\">++<\/span><span class=\"p\">)<\/span>\n<span class=\"w\">    <\/span><span class=\"p\">{<\/span>\n<span class=\"w\">        <\/span><span class=\"k\">if<\/span><span class=\"w\"> <\/span><span class=\"p\">(<\/span><span class=\"kt\">double<\/span><span class=\"p\">.<\/span><span class=\"n\">IsFinite<\/span><span class=\"p\">(<\/span><span class=\"n\">benchRet<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"p\">]))<\/span>\n<span class=\"w\">        <\/span><span class=\"p\">{<\/span>\n<span class=\"w\">            <\/span><span class=\"n\">dailySumBench<\/span><span class=\"w\"> <\/span><span class=\"o\">+=<\/span><span class=\"w\"> <\/span><span class=\"n\">benchRet<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"n\">j<\/span><span class=\"p\">];<\/span>\n<span class=\"w\">        <\/span><span class=\"p\">}<\/span>\n<span class=\"w\">    <\/span><span class=\"p\">}<\/span>\n<span class=\"p\">}<\/span>\n\n<span class=\"c1\">\/\/ Calculate the variance of the 2 portfolios<\/span>\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">returnPort<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"n\">List<\/span><span class=\"o\">&lt;<\/span><span class=\"kt\">double<\/span><span class=\"o\">&gt;<\/span><span class=\"p\">();<\/span>\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">previous<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"mf\">0.0<\/span><span class=\"p\">;<\/span>\n<span class=\"k\">for<\/span><span class=\"p\">(<\/span><span class=\"kt\">int<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"w\"> <\/span><span class=\"o\">&lt;<\/span><span class=\"w\"> <\/span><span class=\"n\">totalValue<\/span><span class=\"p\">.<\/span><span class=\"n\">Count<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">++<\/span><span class=\"p\">)<\/span>\n<span class=\"p\">{<\/span>\n<span class=\"w\">    <\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">current<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">totalValue<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">];<\/span>\n<span class=\"w\">    <\/span><span class=\"n\">returnPort<\/span><span class=\"p\">.<\/span><span class=\"n\">Add<\/span><span class=\"p\">((<\/span><span class=\"n\">current<\/span><span class=\"w\"> <\/span><span class=\"o\">-<\/span><span class=\"w\"> <\/span><span class=\"n\">previous<\/span><span class=\"p\">)<\/span><span class=\"w\"> <\/span><span class=\"o\">\/<\/span><span class=\"w\"> <\/span><span class=\"n\">previous<\/span><span class=\"p\">);<\/span>\n<span class=\"w\">    <\/span><span class=\"n\">previous<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">current<\/span><span class=\"p\">;<\/span>\n<span class=\"p\">}<\/span>\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">varPort<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">Math<\/span><span class=\"p\">.<\/span><span class=\"n\">Sqrt<\/span><span class=\"p\">(<\/span><span class=\"n\">returnPort<\/span><span class=\"p\">.<\/span><span class=\"n\">Skip<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">).<\/span><span class=\"n\">Average<\/span><span class=\"p\">(<\/span><span class=\"n\">v<\/span><span class=\"o\">=&gt;<\/span><span class=\"n\">Math<\/span><span class=\"p\">.<\/span><span class=\"n\">Pow<\/span><span class=\"p\">(<\/span><span class=\"n\">v<\/span><span class=\"o\">-<\/span><span class=\"n\">returnPort<\/span><span class=\"p\">.<\/span><span class=\"n\">Skip<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">).<\/span><span class=\"n\">Average<\/span><span class=\"p\">(),<\/span><span class=\"mi\">2<\/span><span class=\"p\">)));<\/span>\n\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">returnBench<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"k\">new<\/span><span class=\"w\"> <\/span><span class=\"n\">List<\/span><span class=\"o\">&lt;<\/span><span class=\"kt\">double<\/span><span class=\"o\">&gt;<\/span><span class=\"p\">();<\/span>\n<span class=\"n\">previous<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"mf\">0.0<\/span><span class=\"p\">;<\/span>\n<span class=\"k\">for<\/span><span class=\"p\">(<\/span><span class=\"kt\">int<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">=<\/span><span class=\"mi\">0<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"w\"> <\/span><span class=\"o\">&lt;<\/span><span class=\"w\"> <\/span><span class=\"n\">totalValueBench<\/span><span class=\"p\">.<\/span><span class=\"n\">Count<\/span><span class=\"p\">;<\/span><span class=\"w\"> <\/span><span class=\"n\">i<\/span><span class=\"o\">++<\/span><span class=\"p\">)<\/span>\n<span class=\"p\">{<\/span>\n<span class=\"w\">    <\/span><span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">current<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">totalValueBench<\/span><span class=\"p\">[<\/span><span class=\"n\">i<\/span><span class=\"p\">];<\/span>\n<span class=\"w\">    <\/span><span class=\"n\">returnBench<\/span><span class=\"p\">.<\/span><span class=\"n\">Add<\/span><span class=\"p\">((<\/span><span class=\"n\">current<\/span><span class=\"w\"> <\/span><span class=\"o\">-<\/span><span class=\"w\"> <\/span><span class=\"n\">previous<\/span><span class=\"p\">)<\/span><span class=\"w\"> <\/span><span class=\"o\">\/<\/span><span class=\"w\"> <\/span><span class=\"n\">previous<\/span><span class=\"p\">);<\/span>\n<span class=\"w\">    <\/span><span class=\"n\">previous<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">current<\/span><span class=\"p\">;<\/span>\n<span class=\"p\">}<\/span>\n<span class=\"kt\">var<\/span><span class=\"w\"> <\/span><span class=\"n\">varBench<\/span><span class=\"w\"> <\/span><span class=\"o\">=<\/span><span class=\"w\"> <\/span><span class=\"n\">Math<\/span><span class=\"p\">.<\/span><span class=\"n\">Sqrt<\/span><span class=\"p\">(<\/span><span class=\"n\">returnBench<\/span><span class=\"p\">.<\/span><span class=\"n\">Skip<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">).<\/span><span class=\"n\">Average<\/span><span class=\"p\">(<\/span><span class=\"n\">v<\/span><span class=\"o\">=&gt;<\/span><span class=\"n\">Math<\/span><span class=\"p\">.<\/span><span class=\"n\">Pow<\/span><span class=\"p\">(<\/span><span class=\"n\">v<\/span><span class=\"o\">-<\/span><span class=\"n\">returnBench<\/span><span class=\"p\">.<\/span><span class=\"n\">Skip<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"p\">).<\/span><span class=\"n\">Average<\/span><span class=\"p\">(),<\/span><span class=\"mi\">2<\/span><span class=\"p\">)));<\/span>\n\n<span class=\"c1\">\/\/ Print the result.<\/span>\n<span class=\"n\">Console<\/span><span class=\"p\">.<\/span><span class=\"n\">WriteLine<\/span><span class=\"p\">(<\/span><span class=\"s\">\"Portfolio Return: {0}, Variance: {1}\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"p\">(<\/span><span class=\"n\">totalValue<\/span><span class=\"p\">.<\/span><span class=\"n\">Last<\/span><span class=\"p\">()<\/span><span class=\"w\"> <\/span><span class=\"o\">-<\/span><span class=\"w\"> <\/span><span class=\"n\">totalValue<\/span><span class=\"p\">.<\/span><span class=\"n\">First<\/span><span class=\"p\">())<\/span><span class=\"o\">\/<\/span><span class=\"n\">totalValue<\/span><span class=\"p\">.<\/span><span class=\"n\">First<\/span><span class=\"p\">(),<\/span><span class=\"w\"> <\/span><span class=\"n\">varPort<\/span><span class=\"p\">);<\/span>\n<span class=\"n\">Console<\/span><span class=\"p\">.<\/span><span class=\"n\">WriteLine<\/span><span class=\"p\">(<\/span><span class=\"s\">\"Benchmark Return: {0}, Variance: {1}\"<\/span><span class=\"p\">,<\/span><span class=\"w\"> <\/span><span class=\"p\">(<\/span><span class=\"n\">totalValueBench<\/span><span class=\"p\">.<\/span><span class=\"n\">Last<\/span><span class=\"p\">()<\/span><span class=\"w\"> <\/span><span class=\"o\">-<\/span><span class=\"w\"> <\/span><span class=\"n\">totalValueBench<\/span><span class=\"p\">.<\/span><span class=\"n\">First<\/span><span class=\"p\">())<\/span><span class=\"o\">\/<\/span><span class=\"n\">totalValueBench<\/span><span class=\"p\">.<\/span><span class=\"n\">First<\/span><span class=\"p\">(),<\/span><span class=\"w\"> <\/span><span class=\"n\">varBench<\/span><span class=\"p\">);<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>We can clearly see from the results, the proposed uncorrelated-asset-portfolio has a lower variance\/fluctuation, thus more consistent than the benchmark. This proven our hypothesis. Moreover, it even out-compete the benchmark.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/main>\n<style>#notebook-container{ box-shadow: none!important;padding:0!important; } .prompt{display: none!important;}<\/style><\/body>\n<\/html>\n","modified":"2026-03-06 20:14:48","name":"Research.ipynb","open":false,"isLibrary":false,"projectId":28745469}],"success":true}