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mini-project-solutions/2-mc-solutions/matrix_completion_master.ipynb
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"source": "# Table of Contents\n <p><div class=\"lev1 toc-item\"><a href=\"#Workspace-set-up\" data-toc-modified-id=\"Workspace-set-up-1\"><span class=\"toc-item-num\">1&nbsp;&nbsp;</span>Workspace set-up</a></div><div class=\"lev1 toc-item\"><a href=\"#Introduction\" data-toc-modified-id=\"Introduction-2\"><span class=\"toc-item-num\">2&nbsp;&nbsp;</span>Introduction</a></div><div class=\"lev2 toc-item\"><a href=\"#What-is-this-tutorial-for?\" data-toc-modified-id=\"What-is-this-tutorial-for?-21\"><span class=\"toc-item-num\">2.1&nbsp;&nbsp;</span>What is this tutorial for?</a></div><div class=\"lev2 toc-item\"><a href=\"#Background\" data-toc-modified-id=\"Background-22\"><span class=\"toc-item-num\">2.2&nbsp;&nbsp;</span>Background</a></div><div class=\"lev3 toc-item\"><a href=\"#Notation\" data-toc-modified-id=\"Notation-221\"><span class=\"toc-item-num\">2.2.1&nbsp;&nbsp;</span>Notation</a></div><div class=\"lev3 toc-item\"><a href=\"#Tools-from-probability\" data-toc-modified-id=\"Tools-from-probability-222\"><span class=\"toc-item-num\">2.2.2&nbsp;&nbsp;</span>Tools from probability</a></div><div class=\"lev1 toc-item\"><a href=\"#Matrix-completion-theory\" data-toc-modified-id=\"Matrix-completion-theory-3\"><span class=\"toc-item-num\">3&nbsp;&nbsp;</span>Matrix completion theory</a></div><div class=\"lev2 toc-item\"><a href=\"#First-pass-at-the-problem\" data-toc-modified-id=\"First-pass-at-the-problem-31\"><span class=\"toc-item-num\">3.1&nbsp;&nbsp;</span>First pass at the problem</a></div><div class=\"lev2 toc-item\"><a href=\"#Motivation-for-solving-this-problem\" data-toc-modified-id=\"Motivation-for-solving-this-problem-32\"><span class=\"toc-item-num\">3.2&nbsp;&nbsp;</span>Motivation for solving this problem</a></div><div class=\"lev2 toc-item\"><a href=\"#Making-the-problem-feasible\" data-toc-modified-id=\"Making-the-problem-feasible-33\"><span class=\"toc-item-num\">3.3&nbsp;&nbsp;</span>Making the problem feasible</a></div><div class=\"lev3 toc-item\"><a href=\"#&quot;Entry-determinism&quot;\" data-toc-modified-id=\"&quot;Entry-determinism&quot;-331\"><span class=\"toc-item-num\">3.3.1&nbsp;&nbsp;</span>\"Entry determinism\"</a></div><div class=\"lev4 toc-item\"><a href=\"#Example:-Singular-Value-Decomposition\" data-toc-modified-id=\"Example:-Singular-Value-Decomposition-3311\"><span class=\"toc-item-num\">3.3.1.1&nbsp;&nbsp;</span>Example: Singular Value Decomposition</a></div><div class=\"lev3 toc-item\"><a href=\"#Sampling-pattern\" data-toc-modified-id=\"Sampling-pattern-332\"><span class=\"toc-item-num\">3.3.2&nbsp;&nbsp;</span>Sampling pattern</a></div><div class=\"lev3 toc-item\"><a href=\"#&quot;Spiky-matrices&quot;\" data-toc-modified-id=\"&quot;Spiky-matrices&quot;-333\"><span class=\"toc-item-num\">3.3.3&nbsp;&nbsp;</span>\"Spiky matrices\"</a></div><div class=\"lev2 toc-item\"><a href=\"#A-convex-program-for-incoherent-low-rank-matrix-completion\" data-toc-modified-id=\"A-convex-program-for-incoherent-low-rank-matrix-completion-34\"><span class=\"toc-item-num\">3.4&nbsp;&nbsp;</span>A convex program for incoherent low-rank matrix completion</a></div><div class=\"lev3 toc-item\"><a href=\"#Set-up\" data-toc-modified-id=\"Set-up-341\"><span class=\"toc-item-num\">3.4.1&nbsp;&nbsp;</span>Set-up</a></div><div class=\"lev3 toc-item\"><a href=\"#Recovery-guarantees\" data-toc-modified-id=\"Recovery-guarantees-342\"><span class=\"toc-item-num\">3.4.2&nbsp;&nbsp;</span>Recovery guarantees</a></div><div class=\"lev3 toc-item\"><a href=\"#Noisy-recovery\" data-toc-modified-id=\"Noisy-recovery-343\"><span class=\"toc-item-num\">3.4.3&nbsp;&nbsp;</span>Noisy recovery</a></div><div class=\"lev1 toc-item\"><a href=\"#Algorithms-for-matrix-completion\" data-toc-modified-id=\"Algorithms-for-matrix-completion-4\"><span class=\"toc-item-num\">4&nbsp;&nbsp;</span>Algorithms for matrix completion</a></div><div class=\"lev2 toc-item\"><a href=\"#Introduction\" data-toc-modified-id=\"Introduction-41\"><span class=\"toc-item-num\">4.1&nbsp;&nbsp;</span>Introduction</a></div><div class=\"lev3 toc-item\"><a href=\"#Notation\" data-toc-modified-id=\"Notation-411\"><span class=\"toc-item-num\">4.1.1&nbsp;&nbsp;</span>Notation</a></div><div class=\"lev2 toc-item\"><a href=\"#Nuclear-norm-minimization\" data-toc-modified-id=\"Nuclear-norm-minimization-42\"><span class=\"toc-item-num\">4.2&nbsp;&nbsp;</span>Nuclear norm minimization</a></div><div class=\"lev3 toc-item\"><a href=\"#An-alternative-format\" data-toc-modified-id=\"An-alternative-format-421\"><span class=\"toc-item-num\">4.2.1&nbsp;&nbsp;</span>An alternative format</a></div><div class=\"lev2 toc-item\"><a href=\"#Alternating-direction-method-(ADM)\" data-toc-modified-id=\"Alternating-direction-method-(ADM)-43\"><span class=\"toc-item-num\">4.3&nbsp;&nbsp;</span>Alternating-direction method (ADM)</a></div><div class=\"lev3 toc-item\"><a href=\"#Frobenius-norm-minimization\" data-toc-modified-id=\"Frobenius-norm-minimization-431\"><span class=\"toc-item-num\">4.3.1&nbsp;&nbsp;</span>Frobenius norm minimization</a></div><div class=\"lev3 toc-item\"><a href=\"#Exercises:-write-an-algorithm\" data-toc-modified-id=\"Exercises:-write-an-algorithm-432\"><span class=\"toc-item-num\">4.3.2&nbsp;&nbsp;</span>Exercises: write an algorithm</a></div><div class=\"lev2 toc-item\"><a href=\"#Debiasing-low-rank-projection-method\" data-toc-modified-id=\"Debiasing-low-rank-projection-method-44\"><span class=\"toc-item-num\">4.4&nbsp;&nbsp;</span>Debiasing low-rank projection method</a></div><div class=\"lev3 toc-item\"><a href=\"#Overview\" data-toc-modified-id=\"Overview-441\"><span class=\"toc-item-num\">4.4.1&nbsp;&nbsp;</span>Overview</a></div><div class=\"lev3 toc-item\"><a href=\"#Algorithm\" data-toc-modified-id=\"Algorithm-442\"><span class=\"toc-item-num\">4.4.2&nbsp;&nbsp;</span>Algorithm</a></div><div class=\"lev3 toc-item\"><a href=\"#Results\" data-toc-modified-id=\"Results-443\"><span class=\"toc-item-num\">4.4.3&nbsp;&nbsp;</span>Results</a></div><div class=\"lev3 toc-item\"><a href=\"#Exercise:-Code-the-algorithm\" data-toc-modified-id=\"Exercise:-Code-the-algorithm-444\"><span class=\"toc-item-num\">4.4.4&nbsp;&nbsp;</span>Exercise: Code the algorithm</a></div><div class=\"lev2 toc-item\"><a href=\"#Max-norm-minimization\" data-toc-modified-id=\"Max-norm-minimization-45\"><span class=\"toc-item-num\">4.5&nbsp;&nbsp;</span>Max-norm minimization</a></div><div class=\"lev3 toc-item\"><a href=\"#Exercise:-write-an-algorithm\" data-toc-modified-id=\"Exercise:-write-an-algorithm-451\"><span class=\"toc-item-num\">4.5.1&nbsp;&nbsp;</span>Exercise: write an algorithm</a></div><div class=\"lev2 toc-item\"><a href=\"#On-selecting-the-rank\" data-toc-modified-id=\"On-selecting-the-rank-46\"><span class=\"toc-item-num\">4.6&nbsp;&nbsp;</span>On selecting the rank</a></div><div class=\"lev3 toc-item\"><a href=\"#Issues\" data-toc-modified-id=\"Issues-461\"><span class=\"toc-item-num\">4.6.1&nbsp;&nbsp;</span>Issues</a></div><div class=\"lev3 toc-item\"><a href=\"#Exercises:-making-progress-on-the-issues-above\" data-toc-modified-id=\"Exercises:-making-progress-on-the-issues-above-462\"><span class=\"toc-item-num\">4.6.2&nbsp;&nbsp;</span>Exercises: making progress on the issues above</a></div><div class=\"lev1 toc-item\"><a href=\"#Coding-matrix-completion-problems\" data-toc-modified-id=\"Coding-matrix-completion-problems-5\"><span class=\"toc-item-num\">5&nbsp;&nbsp;</span>Coding matrix completion problems</a></div><div class=\"lev2 toc-item\"><a href=\"#Nuclear-norm-minimization-for-matrix-completion\" data-toc-modified-id=\"Nuclear-norm-minimization-for-matrix-completion-51\"><span class=\"toc-item-num\">5.1&nbsp;&nbsp;</span>Nuclear norm minimization for matrix completion</a></div><div class=\"lev3 toc-item\"><a href=\"#Description\" data-toc-modified-id=\"Description-511\"><span class=\"toc-item-num\">5.1.1&nbsp;&nbsp;</span>Description</a></div><div class=\"lev3 toc-item\"><a href=\"#Problem-set-up\" data-toc-modified-id=\"Problem-set-up-512\"><span class=\"toc-item-num\">5.1.2&nbsp;&nbsp;</span>Problem set-up</a></div><div class=\"lev2 toc-item\"><a href=\"#Implement-an-alternating-direction-method\" data-toc-modified-id=\"Implement-an-alternating-direction-method-52\"><span class=\"toc-item-num\">5.2&nbsp;&nbsp;</span>Implement an alternating-direction method</a></div><div class=\"lev3 toc-item\"><a href=\"#Exercises:-Implement-the-ADM-algorithm-for-Frobenius-norm-minimization\" data-toc-modified-id=\"Exercises:-Implement-the-ADM-algorithm-for-Frobenius-norm-minimization-521\"><span class=\"toc-item-num\">5.2.1&nbsp;&nbsp;</span>Exercises: Implement the ADM algorithm for Frobenius norm minimization</a></div><div class=\"lev2 toc-item\"><a href=\"#Debiasing-low-rank-projection-implementation\" data-toc-modified-id=\"Debiasing-low-rank-projection-implementation-53\"><span class=\"toc-item-num\">5.3&nbsp;&nbsp;</span>Debiasing low-rank projection implementation</a></div><div class=\"lev3 toc-item\"><a href=\"#Approximate-observation-mask\" data-toc-modified-id=\"Approximate-observation-mask-531\"><span class=\"toc-item-num\">5.3.1&nbsp;&nbsp;</span>Approximate observation mask</a></div><div class=\"lev4 toc-item\"><a href=\"#Method-1:-svds\" data-toc-modified-id=\"Method-1:-svds-5311\"><span class=\"toc-item-num\">5.3.1.1&nbsp;&nbsp;</span>Method 1: <code>svds</code></a></div><div class=\"lev4 toc-item\"><a href=\"#Method-2:-altMinSense\" data-toc-modified-id=\"Method-2:-altMinSense-5312\"><span class=\"toc-item-num\">5.3.1.2&nbsp;&nbsp;</span>Method 2: <code>altMinSense</code></a></div><div class=\"lev4 toc-item\"><a href=\"#Comparison\" data-toc-modified-id=\"Comparison-5313\"><span class=\"toc-item-num\">5.3.1.3&nbsp;&nbsp;</span>Comparison</a></div><div class=\"lev3 toc-item\"><a href=\"#Compute-hat-M_0\" data-toc-modified-id=\"Compute-hat-M_0-532\"><span class=\"toc-item-num\">5.3.2&nbsp;&nbsp;</span>Compute $\\hat M_0$</a></div><div class=\"lev3 toc-item\"><a href=\"#Take-the-Hadamard-product\" data-toc-modified-id=\"Take-the-Hadamard-product-533\"><span class=\"toc-item-num\">5.3.3&nbsp;&nbsp;</span>Take the Hadamard product</a></div><div class=\"lev3 toc-item\"><a href=\"#Observe-the-results\" data-toc-modified-id=\"Observe-the-results-534\"><span class=\"toc-item-num\">5.3.4&nbsp;&nbsp;</span>Observe the results</a></div><div class=\"lev1 toc-item\"><a href=\"#On-the-use-of-sparse-matrices\" data-toc-modified-id=\"On-the-use-of-sparse-matrices-6\"><span class=\"toc-item-num\">6&nbsp;&nbsp;</span>On the use of sparse matrices</a></div><div class=\"lev1 toc-item\"><a href=\"#The-realm-of-parameter-guessing\" data-toc-modified-id=\"The-realm-of-parameter-guessing-7\"><span class=\"toc-item-num\">7&nbsp;&nbsp;</span>The realm of parameter guessing</a></div><div class=\"lev2 toc-item\"><a href=\"#What-happens-when-rank-is-chosen-incorrectly?\" data-toc-modified-id=\"What-happens-when-rank-is-chosen-incorrectly?-71\"><span class=\"toc-item-num\">7.1&nbsp;&nbsp;</span>What happens when rank is chosen incorrectly?</a></div><div class=\"lev2 toc-item\"><a href=\"#What-happens-in-the-presence-of-noise?\" data-toc-modified-id=\"What-happens-in-the-presence-of-noise?-72\"><span class=\"toc-item-num\">7.2&nbsp;&nbsp;</span>What happens in the presence of noise?</a></div><div class=\"lev1 toc-item\"><a href=\"#Out-of-the-box-packages\" data-toc-modified-id=\"Out-of-the-box-packages-8\"><span class=\"toc-item-num\">8&nbsp;&nbsp;</span>Out-of-the-box packages</a></div><div class=\"lev1 toc-item\"><a href=\"#Example:-Movie-ratings\" data-toc-modified-id=\"Example:-Movie-ratings-9\"><span class=\"toc-item-num\">9&nbsp;&nbsp;</span>Example: Movie ratings</a></div><div class=\"lev2 toc-item\"><a href=\"#Introduction\" data-toc-modified-id=\"Introduction-91\"><span class=\"toc-item-num\">9.1&nbsp;&nbsp;</span>Introduction</a></div><div class=\"lev3 toc-item\"><a href=\"#About-the-data\" data-toc-modified-id=\"About-the-data-911\"><span class=\"toc-item-num\">9.1.1&nbsp;&nbsp;</span>About the data</a></div><div class=\"lev1 toc-item\"><a href=\"#summary\" data-toc-modified-id=\"summary-10\"><span class=\"toc-item-num\">10&nbsp;&nbsp;</span>Summary</a></div><div class=\"lev1 toc-item\"><a href=\"#usage-license\" data-toc-modified-id=\"usage-license-11\"><span class=\"toc-item-num\">11&nbsp;&nbsp;</span>Usage License</a></div><div class=\"lev1 toc-item\"><a href=\"#citation\" data-toc-modified-id=\"citation-12\"><span class=\"toc-item-num\">12&nbsp;&nbsp;</span>Citation</a></div><div class=\"lev1 toc-item\"><a href=\"#further-information-about-grouplens\" data-toc-modified-id=\"further-information-about-grouplens-13\"><span class=\"toc-item-num\">13&nbsp;&nbsp;</span>Further Information About GroupLens</a></div><div class=\"lev1 toc-item\"><a href=\"#content-and-use-of-files\" data-toc-modified-id=\"content-and-use-of-files-14\"><span class=\"toc-item-num\">14&nbsp;&nbsp;</span>Content and Use of Files</a></div><div class=\"lev2 toc-item\"><a href=\"#formatting-and-encoding\" data-toc-modified-id=\"formatting-and-encoding-141\"><span class=\"toc-item-num\">14.1&nbsp;&nbsp;</span>Formatting and Encoding</a></div><div class=\"lev2 toc-item\"><a href=\"#user-ids\" data-toc-modified-id=\"user-ids-142\"><span class=\"toc-item-num\">14.2&nbsp;&nbsp;</span>User Ids</a></div><div class=\"lev2 toc-item\"><a href=\"#movie-ids\" data-toc-modified-id=\"movie-ids-143\"><span class=\"toc-item-num\">14.3&nbsp;&nbsp;</span>Movie Ids</a></div><div class=\"lev2 toc-item\"><a href=\"#ratings-data-file-structure-ratings-csv-\" data-toc-modified-id=\"ratings-data-file-structure-ratings-csv--144\"><span class=\"toc-item-num\">14.4&nbsp;&nbsp;</span>Ratings Data File Structure (ratings.csv)</a></div><div class=\"lev2 toc-item\"><a href=\"#tags-data-file-structure-tags-csv-\" data-toc-modified-id=\"tags-data-file-structure-tags-csv--145\"><span class=\"toc-item-num\">14.5&nbsp;&nbsp;</span>Tags Data File Structure (tags.csv)</a></div><div class=\"lev2 toc-item\"><a href=\"#movies-data-file-structure-movies-csv-\" data-toc-modified-id=\"movies-data-file-structure-movies-csv--146\"><span class=\"toc-item-num\">14.6&nbsp;&nbsp;</span>Movies Data File Structure (movies.csv)</a></div><div class=\"lev2 toc-item\"><a href=\"#links-data-file-structure-links-csv-\" data-toc-modified-id=\"links-data-file-structure-links-csv--147\"><span class=\"toc-item-num\">14.7&nbsp;&nbsp;</span>Links Data File Structure (links.csv)</a></div><div class=\"lev2 toc-item\"><a href=\"#cross-validation\" data-toc-modified-id=\"cross-validation-148\"><span class=\"toc-item-num\">14.8&nbsp;&nbsp;</span>Cross-Validation</a></div><div class=\"lev2 toc-item\"><a href=\"#Exercise:-Complete-the-movies!\" data-toc-modified-id=\"Exercise:-Complete-the-movies!-149\"><span class=\"toc-item-num\">14.9&nbsp;&nbsp;</span>Exercise: Complete the movies!</a></div><div class=\"lev1 toc-item\"><a href=\"#Example:-Music-preference-data\" data-toc-modified-id=\"Example:-Music-preference-data-15\"><span class=\"toc-item-num\">15&nbsp;&nbsp;</span>Example: Music preference data</a></div><div class=\"lev1 toc-item\"><a href=\"#Further-Reading\" data-toc-modified-id=\"Further-Reading-16\"><span class=\"toc-item-num\">16&nbsp;&nbsp;</span>Further Reading</a></div>"
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"cell_type": "markdown",
"source": "# Workspace set-up"
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"source": "import numpy as np\nfrom scipy.linalg import svd\nfrom scipy.optimize import least_squares\nimport scipy as sp\nimport scipy.sparse as sparse\nimport matplotlib.pyplot as plt\n%matplotlib inline\n\nfrom cvxpy import Variable, Minimize, Problem\nfrom cvxpy import norm as cvxnorm\nfrom cvxpy import mul_elemwise, SCS\nfrom cvxpy import vec as cvxvec\n\nfrom scipy.sparse.linalg import svds\n\nfrom mc_util import *\nfrom mc_solve import *",
"execution_count": 1,
"outputs": []
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"cell_type": "code",
"source": "np.random.seed(seed=3)",
"execution_count": 2,
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"source": "# Introduction\n\nNotebook by [Aaron Berk](http://asberk.ca) for the 2017 [BC Data Science workshop](http://workshop.bcdata.ca). \n\nA special thanks to Yaniv Plan and Oscar Lopez for help in assembling code, data and materials for this tutorial. \n\n## What is this tutorial for?\n\nThis tutorial is a whirlwind tour through matrix completion, designed for a one hour tutorial for the [BC Data Science Workshop](http://workshop.bcdata.ca) hosted at UBC in 2017. The first hour of content will introduce context and necessary tools for understanding the matrix completion problem, as well as some introductory code for solving the matrix completion problem. The remainder of the content will be devoted to the problem solving section of this mini-project, where participants will write code to extend introductory algorithms, and use their algorithms on real data.\n\nA [gist of this notebook](https://gist.github.com/asberk/8c8fd1e7f384df0183b8f01423c07a55) is available.\n\n## Background\n\n\n### Notation\n\nIn this tutorial, we denote a fixed matrix $M \\in \\mathbb{R}^{m \\times n}$ where $m$ and $n$ are positive integers. Elements of $M$ will be denoted using subscript notation, so that the element in the $i$th row and $j$th column of $M$ is denoted by $M_{ij}$ for any $(i,j) \\in [m] \\times [n]$ where $[m] := \\{1, 2, \\ldots, m\\}$. We will say that a matrix $X$ is a **random matrix** if each of its entries $X_{ij}$ come from a distribution $\\mathcal{D}_{ij}$ (and write $X_{ij} \\sim \\mathcal{D}_{ij}$). Typically, one has $\\mathcal{D}_{ij} = \\mathcal{D}$ for some distribution $\\mathcal{D}$ and all $i,j$ (*e.g.*, the standard normal distribution $\\mathcal{D} \\sim \\mathcal{N}(0,1)$). Moreover, for the purpose of this tutorial, we will assume that $X_{ij} \\overset{iid}{\\sim} \\mathcal{D}$ are **independent and identically distributed** (iid) samples from the distribution $\\mathcal{D}$. In general, this may be much too strict an assumption; we will explore this in some detail below. \n\n### Tools from probability\n\nFor $\\Omega \\subseteq [m] \\times [n]$, a subset of indices of a matrix, the **subsampled matrix** $M_\\Omega$ has entries given by \n$$\nM_\\Omega := \\begin{cases}\nM_{ij} & (i,j) \\in \\Omega\\\\\n0 & (i,j) \\not\\in \\Omega\n\\end{cases}\n$$\nEntries of a fixed matrix $M$ are observed **uniform at random** with probability $p \\in (0,1)$ if, for all $(i,j) \\in [m]\\times[n]$, the probability that $(i,j) \\in \\Omega$ is equal to $p$. \n\nWe denote by $\\mathbb E$ the expectation operator for a random variable; and $\\mathrm{Var}$ the variance. Let $\\hat \\theta$ be an estimator for a random variable $\\theta$. The **bias** of the estimator $\\hat \\theta$ is given by $B(\\hat\\theta) = \\mathbb E [\\hat \\theta] - \\theta$. An estimator for which $B \\equiv 0$ is said to be an **unbiased estimator**.\n\n# Matrix completion theory\n\n## First pass at the problem\n\nLet $M \\in \\mathbb{R}^{n\\times n}$ be a fixed real-valued square matrix and let $\\Omega \\subseteq [n] \\times [n]$ be a set of indices of the matrix corresponding to the set of observed entries. \n\nA first pass at the **matrix completion problem** is as follows:\n\n> Given only $\\Omega\\subseteq [n]\\times[n]$ and corresponding entries $\\{M_{ij}\\}_{(i,j) \\in \\Omega}$, recover the full matrix $M$.\n\n## Motivation for solving this problem\n\nA good question to ask in an applied math workshop: besides mathematical interest, why do we care about solving this problem? Below are a few examples, with asterisks beside ones that make guest appearances in this tutorial.\n\n* The Netflix challenge \\*\n* Subsurface reconstruction in geophysics and petrology\n* Bathymetry interpolation in meteorology, hydrology and geophysics \\*\n* *Terroir* characterization\n* Online shopping patterns\n* Music listening & book reading preferences \\*\n* Inference on certain graph structures \\*\n\n## Making the problem feasible\n\n### \"Entry determinism\"\n\nAs it is posed above, this problem is unfeasible. **Why!?** In general, one element in a matrix **does not determine** the other elements in a matrix! In order to make the matrix completion problem tractable, we have to impose some constraints on our matrix — these constraints will ensure that [in some sense], the entries we have observed will determine the values that we have not observed.\n\n**So what should this constraint be?** Just as when working with vectors, there could be several ways to constrain a given vector; however, a common theme that runs between all of the examples listed above is that the associated matrices have some **intrinsic low-dimensional structure**. <div class='alert alert-block alert-info'>For this reason, the relevant kind of structure with which we will imbue $M$ is a **constraint on the rank of $M$**. In particular, for a positive integer $r \\ll n$, we will assume that $\\mathrm{rank}(M) = r$. </div>\n\nWith $M$ being *of low rank*, it follows that we can represent $M$ by \n$$\nM = WH^*, \\qquad W, H \\in \\mathbb{R}^{n\\times r}\n$$\nwhich is seen clearly from the SVD-like representation of $M$\n$$\nM = U \\Sigma V^* \\qquad U, V \\in \\mathbb{R}^{n\\times r}, \\Sigma \\in \\mathbb{R}^{r\\times r}\n$$\nwhere $\\Sigma$ is a diagonal matrix whose elements $\\sigma_1 \\geq \\sigma_2 \\geq \\cdots \\geq \\sigma_r$ are the **non-zero singular values** of $M$; and $U$ and $V$ are unitary matrices (*i.e.*, $UU^* \\equiv U^* U \\equiv VV^* \\equiv V^* V \\equiv 1$).\n\n#### Example: Singular Value Decomposition"
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"source": "# settings\nn, r = (50, 5)\nW = np.random.randn(n,r)\nH = np.random.randn(n,r)\nM = W @ H.T\n\n# svd\nU, Sigma, Vtr = svd(M)\n\nprint(U.shape)\nprint(Sigma.size)\nprint(Vtr.shape)",
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{
"name": "stdout",
"text": "(50, 50)\n50\n(50, 50)\n",
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"source": "Are we really getting 50 singular values for `M`?"
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"cell_type": "code",
"source": "print(Sigma[:2*r].round(3))",
"execution_count": 4,
"outputs": [
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"name": "stdout",
"text": "[ 64.538 57.021 51.371 43.676 36.003 0. 0. 0. 0. 0. ]\n",
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"source": "Yes, but `n-r` of them are equal to $0$ (up to numerical precision). This means we can get a more efficient representation of `M` in SVD format. We'll take only the first `r` columns of `U`; the first `r` rows of `Vtr`; and only the positive singular values of `Sigma`."
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"cell_type": "code",
"source": "U_r = U[:, :r]\nVtr_r = Vtr[:r, :]\nSigma_r = Sigma[:r]",
"execution_count": 5,
"outputs": []
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"cell_type": "code",
"source": "M2 = U_r @ np.diag(Sigma_r) @ Vtr_r",
"execution_count": 6,
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},
"cell_type": "code",
"source": "print('root mean-squared error = {:5.3g}'.format(rmse(M2, M)))",
"execution_count": 7,
"outputs": [
{
"name": "stdout",
"text": "root mean-squared error = 1.76e-15\n",
"output_type": "stream"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "**Note:** `scipy.linalg.svd` computes the entire SVD of the matrix — if we know that a matrix is of low rank, then we can use the more efficient `randomized_svd` from `sklearn.decomposition.truncated_svd`, which returns only the top $k$ (or bottom $k$) singular vectors, where $k$ is an argument to the function. \n\n### Sampling pattern\n\nThe last problem concerns which entries of $M$ we get to observe. For example, can the entries of $M$ be observed deterministically? Randomly (if so, uniform or non-uniform)? \nIn an ideal scenario, we'd like the entries to be observed uniformly at random. Not only does this make the math easier, but it gives us good recovery results. We'll illustrate below what can go wrong if entries are observed non-uniformly. "
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "# dimension and rank\nm = n = 100\nr = 10\n# construct low rank components of M\nW = np.random.randn(m, r)\nH = np.random.randn(n, r)\n# introduce a \"bizarre structure\"\nW[:20,:] = 1\nH[-20:,:] = .75\n# compute M\nM = W @ H.T\n\n# get a non-uniform collection of indices\ni_nu, j_nu = aNonuniformSampling(m, n, .1)\n# Include a uniform sampling of indices for comparison\ni_u, j_u = np.where(np.random.rand(*M.shape) < .1)\n\n# Construct the subsampled matrices\nM_nu = np.zeros(M.shape)\nM_nu[i_nu, j_nu] = M[i_nu, j_nu]\n\nM_u = np.zeros(M.shape)\nM_u[i_u, j_u] = M[i_u, j_u]",
"execution_count": 8,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# visualize the results\nplot_titles = ['$M$', '$M_\\mathrm{u}$', '$M_\\mathrm{nu}$']\nplt.figure(figsize=(16,4))\nfor ctr, mat, ptitle in zip(range(3), [M, M_u, M_nu], plot_titles):\n plt.subplot(1,3,ctr+1)\n plt.imshow(mat, cmap='gray')\n plt.title(ptitle,size=16)\n plt.axis('off');",
"execution_count": 9,
"outputs": [
{
"metadata": {},
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x1100d00b8>",
"image/png": 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pM9GchPs1b948SanIl31ikSwFuatWrZKU0lWZH4xMYnohxcnYoGNKQqpsbD5O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\n"
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "Because of the particularly non-uniform sampling pattern, we cannot observe the behaviour in the upper right hand corner of $M$ — in general this kind of non-uniformity can be detrimental to recovery. However, it is not always practical or realistic to assume a uniform sampling of observations, so we shall look at one way of tackling non-uniform sampling patterns below. In the meantime, \n<div class='alert alert-block alert-info'>\nWe will make the added assumption that the entries belonging to $\\Omega$ were observed **uniformly at random**.\n</div>\n\nBy making this assumption, we gain our second small advantage. Namely, let $M \\in \\mathbb{R}^{n\\times n}$ be a square matrix of rank $r \\ll n$ and let $\\Omega \\subseteq [m] \\times [n]$ be a set of indices such that $(i,j) \\in \\Omega$ uniformly at random with probability $p \\in (0,1)$. Then the matrix\n$$\n\\frac{1}{p} M_\\Omega\n$$\nis an **unbiased estimator** for $M$. Namely, \n$$\n\\mathbb{E} \\big[ \\frac{1}{p} M_\\Omega \\big] = \\frac{p}{p} M + \\frac{1-p}{p} \\mathbf{0} = M\n$$\n\n### \"Spiky matrices\"\n\nA problem that could arise — particularly, as a result of the process determining which entries we get to observe — is if our matrix $M$ is **too spiky**. Probably the best way to illustrate spikiness is with an example. "
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "W = np.zeros((m,1))\nH = np.zeros((n,1))\nW[np.random.randint(n, size=5), 0] = 10*np.random.rand(5)\nH[np.random.randint(n, size=5), 0] = 10*np.random.rand(5)\nM_spiky = W @ H.T",
"execution_count": 10,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plt.figure(figsize=(4,4))\nplt.imshow(M_spiky, cmap='gray')\nplt.title('A spiky matrix $M$', size=16)\nplt.axis('off');",
"execution_count": 11,
"outputs": [
{
"metadata": {},
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x1100b4cc0>",
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"source": "If $M$ is too spiky, then it is likely that — regardless of the type of random sampling we'll use — the entries of $M$ that we observe will \"miss\" the \"content\" of $M$ and give us a false idea of what $M$ looks like. In other words, it is likely to be the case that the content of $M$ we most want to observe in a \"spiky\" matrix is **where the spikes are**. However, because these spikes are sparse, it is also likely to be the case that we will fail to observe them when we sample entries of $M$!\n\nIn other words, we will need $M$ to be **incoherent** in order for a random sampling scheme to work well [most of the time]. This means that the resulting entries of $M$ are a \"well-mixed\" combination of the entries of $W$ and $H$. To make this precise, let $X \\in \\mathbb{R}^{m\\times n}$ be a matrix such that the columns, $X_j \\in \\mathbb{R}^m$, of $X$ are normalized: $X_j^* X_j = 1$. The **coherence of the matrix X** is defined by\n$$\n\\mu(X) := \\max_{1 \\leq j \\neq k \\leq n} |\\langle X_j, X_k \\rangle|\n$$\n\n\n<div class='alert alert-info alert-block'>\n\n**Coherence facts** \n\n1. Characterizes the dependence between columns of $X$ \n2. If $X$ is Unitary, then $\\mu(X) = 0$ \n3. If $n > m$ (like in Compressed Sensing), then $\\mu(X) > 0$. Specifically: \n$\n\\qquad\\mu(X) \\geq \\sqrt{\\frac{n - m}{m (n - 1)}}\n$ \n4. **We want $\\mu(X)$ to be small** [so that it is \"more like a unitary matrix\"]\n\n</div>\n\n## A convex program for incoherent low-rank matrix completion\n\n### Set-up\n\nSupposing we were handed observations $M_\\Omega$ and knowledge about the rank $r$ of our matrix, $M$, the problem of recovering $M$ can be phrased suitably in the language of convex optimization:\n$$\nM_{\\#} := \\underset{X_\\Omega = M_\\Omega}{\\arg\\min}\\,\\, \\mathrm{rank}(X)\n$$\n*i.e.,* return the matrix of smallest rank that matches $M$ on the observation set $\\Omega$. Mild assumptions on the size of $p$ guarantee recovery, $M_{\\#} = M$ with high probability. \n\nUnfortunately, not only is the above problem not convex, but it's NP-hard to find the minimizer! Instead, we can pose the *convex relaxation* of the above problem using a surrogate objective function. This yields the new minimization problem\n$$\nM^* := \\underset{X_\\Omega = M_\\Omega}{\\arg\\min}\\,\\, \\|X\\|_*\n$$\nwhere $\\| \\cdot \\|_*$ denotes the nuclear norm, equal to the sum of the singular values of its argument. For example, using the SVD of $M$, where $\\Sigma = \\mathrm{diag}((\\sigma_i)_{i=1}^r)$, we have\n$$\n\\|M\\|_* = \\sum_{i=1}^n \\sigma_{i}\n$$\n\n### Recovery guarantees\n\nAs the nuclear norm is a norm, it is convex and hence the *convex relaxation* yields a convex optimization problem. Again, under mild assumptions on $p$, one obtains with high probability the recovery of the original matrix, $M^* = M$. In particular, $|\\Omega| \\sim \\mathcal{O}(r \\max\\{m,n\\} \\mathrm{polylog}(\\max\\{m, n\\}))$ uniform-at-random observations of an incoherent matrix are sufficient to guarantee recovery of $M$ with exceedingly high probability. Given that $r \\ll \\min\\{m,n\\}$, this is typically a significant reduction in the number of measurements needed if $M$ were of full rank. \n\n### Noisy recovery\n\nUntil this point we have only concerned ourselves with recovery of the matrix $M$; however, problems like subsurface reconstruction are *never* noise-free. We note briefly that there exist analogues of MC algorithms for noisy data, and that there exist convex programs for matrix completion that are robust to noise. For example, the noise-amenable analogue to nuclear norm minimization is as follows. For a noisy matrix $A = M + Z$ where $M$ has rank $r$ and [for example] $Z_{ij} \\sim \\mathcal{N}(0,\\eta^2)$, one can approximate $M$ from a noisy observation set $A_\\Omega$ by \n$$\nM^* := \\arg\\min \\|X\\|_* \\quad \\text{subj. to} \\quad \\|A - X\\|_F \\leq \\eta\n$$\nwhere $\\|\\cdot \\|_F$ is the Frobenius norm for matrices, defined by\n$$\n\\|A\\|_F^2 = \\sum_{i,j} |A_{ij}|^2.\n$$\n\n# Algorithms for matrix completion\n\n## Introduction\n\nOne could argue that there are four main types of algorithms for matrix completion.\n\n1. Nuclear norm minimization\n2. Alternating direction method\n3. Debiasing low-rank projection\n4. Max-norm minimization\n\nEach type holds particular advantages over the other types: some have better developed theory, while others have better applicability or efficacy in practice, while still others are have greater ease of implementation.\n\n### Notation\n\nWe define the additional notation $P_\\Omega$ to denote the sampling/projection operator,\n$$\nP_\\Omega(M) = M_\\Omega\n$$\nLastly, we note that equality constraints could be replaced by normed-difference constraints, of the type $\\|P_\\Omega(X - M)\\|_F \\leq \\eta$, as discussed above.\n\n## Nuclear norm minimization\n\n### An alternative format\n\nWe have already seen nuclear norm minimization above. One important point of note is that the nuclear norm minimization problem is equivalent to\n$$\n(U^*, V^*) := \\underset{U,V \\in \\mathbb{R}^{n\\times r}}{\\arg\\min} \\,\\, \\| U\\|_F \\|V\\|_F \\quad \\text{subj. to} \\quad \\|P_\\Omega(UV^* - M)\\|_F \\leq \\eta\n$$\nwhen the minimization is performed **simultaneously** over $(U,V)$. Unfortunately, this problem set-up is no longer convex. Nevertheless, efficient iterative algorithms exist for approximating the solution to this problem. In particular, fixing an initial $U^0$, iterate\n$$\n\\begin{align*}\nV^j &:= \\arg\\min \\|U^j\\|_F \\|V\\|_F \\quad \\text{subj. to} \\quad \\|P_\\Omega (U^j V^* - M) \\|_F \\leq \\eta\\\\\nU^{j+1} &:= \\arg\\min \\|U\\|_F \\|V^j\\|_F \\quad \\text{subj. to} \\quad \\|P_\\Omega (U {V^j}^* - M) \\|_F \\leq \\eta\n\\end{align*}\n$$\nAlgorithms that take this iterative approach to approximate solutions have been coined, creatively, alternating-direction methods. It has been shown that the approximation $\\tilde M$ of this particular ADM typically achieves good results, in the sense that \n$$\n\\mathrm{rmse}(\\tilde M, M)\n$$ \nis \"small\". The advantage that this method has over vanilla nuclear norm minimization is the Frobenius norms now implicitly constrain the rank of $U$ and $V$, meaning that only the noise level $\\eta$ need be controlled. This is important for applications where the rank is not known (the rank is rarely known in advance). We will discuss the problem of unknown rank more, below.\n\n## Alternating-direction method (ADM)\n\nThe first example of an alternating-direction method is actually in the previous section! However, when people think of ADMs for MC, they may typically think of the following problem. \n\n### Frobenius norm minimization\n\nA simple idea of recovering a low-rank matrix from a set of observations is to minimize the distance between the observed entries, over the set of all low-rank matrices. \n$$\n(U,V) := \\underset{U,V \\in \\mathbb{R}^{n\\times r}}{\\arg\\min} \\|P_\\Omega(UV^* - M)\\|_F\n$$\nHere, the rank constraint is again provided explicitly; and again, this program is non-convex. Empirical results suggest that the iterative approximate algorithm that *is* convex still achieves good results (in the sense of relative mean-squared error). \n\n### Exercises: write an algorithm\n\n1. Write an algorithm to solve (or approximately solve) this optimization program.\n2. *Modify the algorithm to include $\\ell^2$ regularization on the entries of $U$ and $V$. How does this effect the performance of the algorithm?\n3. Write an algorithm to solve the other form of nuclear norm minimization described above.\n\n<div class='alert alert-block alert-info'>\nIt is important to make a reasonable initial choice for $U^0$; if $U^0$, for example, lies in the space orthogonal to that spanned by the true $U$, then the algorithm implementing the ADM **may never even converge!** For your implementation, let $U^0$ be the top $r$ left singular vectors of $\\frac{1}{p}P_\\Omega(M)$, where $p$ is well-approximated by the quotient of the size of the observations set and the total number of entries of the matrix: \n$$ p \\approx \\displaystyle\\frac{\\# M_\\Omega}{mn}$$\n</div>\n\n## Debiasing low-rank projection method\n\n### Overview\n\nThe debiasing low-rank projection method is an empirically verified way of dealing with non-uniformly sampled data. It relies on a tool that is a generalization of the **spectral gap** for a matrix, given by $\\sigma_1 / \\sigma_2$. There is a result from graph theory showing that the spectral gap determines the efficacy of the matrix completion on a given matrix. \n\nThis is a *new* algorithm, by Foucart, Needell, Plan & Wooters. (So I cannot yet provide the reference). \n\n### Algorithm\n\nLet $Y \\in \\mathbb{R}^{n\\times n}$ be a fixed and unknown matrix, from which we observe the subset of entries $Y_\\Omega$ for $\\Omega$ a subset of $[n]\\times[n]$. Note that $\\Omega$ is no longer assumed to be random — it can be deterministic!\n\n1. Define a low-rank approximation to the masked matrix $Y_\\Omega$: \n$$\n\\hat M_0 := \\underset{\\mathrm{rank}(X) \\leq r}{\\arg\\min} \\|X - Y_\\Omega\\|_F\n$$\n2. Denote the sampling mask for $\\Omega$ by $\\mathbf{1}_\\Omega$ and let $W$ be the best rank-1 approximation to $\\mathbf{1}_\\Omega$. We will call $W$ the debiasing matrix:\n$$\nW := \\underset{\\mathrm{rank}(W) \\leq 1}{\\arg\\min} \\|W - \\mathbf{1}_\\Omega\\|_F\n$$\n3. Now define the debiased matrix using $W$, where $X^{(j)}$ corresponds to element-wise exponentiation by $j$ of the matrix $X$; and where $\\circ$ is the Hadamard (element-wise) product. \n$$\n\\hat M_{\\mathrm{debias}} := W^{(-1)} \\circ \\hat M_0\n$$\n\n### Results\n\nNote that $\\#\\mathrm{measurements} \\geq C (m+n)r \\max(r, \\log(m+n))$ are required to achieve good recovery. Precises error bounds on the approximation are given in the manuscript, but it would require too much background information to describe here. \n\n### Exercise: Code the algorithm\n\n<div class='alert alert-block alert-info'>\n1. If you feel comfortable using Python, try coding this algorithm! Otherwise, continue following along and come back to coding this algorithm after you have seen implementations of some others, below. \n2. **Challenge:** If you choose to implement this algorithm, try it out on the music listening history data set and compare it against one of the other methods described here. There are currently no empirical results directly comparing this algorithm with others!\n</div>\n\n## Max-norm minimization\n\nOne can also relax the rank constraint in a second way. Namely, via the so-called **max-norm**:\n$$\n\\|X \\|_\\text{max} := \\inf_{U,V} \\big\\{\\|U\\|_{2, \\infty} \\|V\\|_{2, \\infty} : X = U V^* \\big\\}\n$$\nwhere, for $A \\in \\mathbb{R}^{m\\times n}$\n$$\n\\|A\\|_{2, \\infty} := \\max_{j\\in[m]} \\big( \\sum_{k=1}^n A_{jk}^2 \\big)^{1/2}\n$$\n\n<div class='alert alert-block alert-info'>\n**Note:** there is no satisfying theoretical explanation for why $\\max$-norm minimization works well!\n</div>\n\n### Exercise: write an algorithm\n\n1. Write an algorithm that solves (or approximately solves) the max-norm minimization problem. Would you expect this to work better or worse than the methods described above (or does it depend on some properties of the data?)\n2. Is your method more or less efficient than the other methods described above (*Hint:* how many flops per iteration does your algorithm require? Is it parallelizable?)\n\n## On selecting the rank\n\n### Issues\n\nIf the rank is too small, then clearly the recovered matrix $M^*$ cannot be as \"expressive\" as the matrix $M$ — the space it spans is of smaller dimension than that of $M$! This problem will occur regardless of the optimization algorithm we choose. What happens, then, if the rank is too big? In the ideal case, nothing happens: the lowest rank solution is the optimal one and so nothing changes. In reality, this is not the case, particularly with those methods that require an explicit rank to be passed as a parameter. These methods can show disastrous instability if the rank is chosen incorrectly. Moreover, if the rank is too large, then it increases computation time — per iteration cost typically looks like $Crn\\log n$, hence doubling $r$ doubles the time until convergence. \n\n### Exercises: making progress on the issues above\n\n1. Is there a way to efficiently approximate the rank of a matrix $P_\\Omega(M)$? Can you use this as a way to efficiently find a rank parameter $r$ that gives good recovery on an optimization program that requires a rank parameter $r$? \n2. For one of the algorithms described above, can you modify the algorithm to better control for instability for incorrectly chosen rank parameters? (**Hint:** is there a regularization that would help?)\n\n# Coding matrix completion problems\n\n## Nuclear norm minimization for matrix completion\n\n### Description\n\nIn this example, we showcase nuclear norm minimization using the Python package [`cvxpy`](http://www.cvxpy.org/en/latest/index.html). The `cvxpy` package mostly sits on top of [`cvxopt`](http://cvxopt.org/userguide/index.html), which to my knowledge is a port of [`CVX`](http://cvxr.com/cvx/) by Stephen Boyd and Michael Grant. Note that for this example, the default solver will not work, and instead we will use `SCS` &mdash; a splitting conic solver (more details available [here](https://arxiv.org/abs/1312.3039)). \n\n### Problem set-up\n\nDefine the matrix $M$ and the mask $\\Omega$."
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"source": "r = 5\nm = 100\nn = 100\np = .5\nU, V, M_Omega, Omega_idx, Omega_mask = matrixCompletionSetup(r, m, n, p)",
"execution_count": 12,
"outputs": [
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"name": "stdout",
"text": "There has been a re-write of this function. Please check documentation or source for more information.cf. sparseMatComSetup for a sparse version of this function.\n",
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"source": "Now phrase the optimizaton problem using `cvxpy`."
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"source": "X = Variable(m, n)\nobj = Minimize(cvxnorm(X, 'nuc') )\nconstraints = [X[Omega_idx] == M_Omega]\nprob = Problem(obj, constraints)",
"execution_count": 13,
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"cell_type": "code",
"source": "prob.solve(solver=SCS, verbose=False)",
"execution_count": 14,
"outputs": [
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"execution_count": 14,
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"source": "M = U @ V.T\nplot_comparison(M, X.value)",
"execution_count": 15,
"outputs": [
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"text": "RMSE = 0.02148659971688099\n",
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"text/plain": "<matplotlib.figure.Figure at 0x11379b358>",
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1yvfLalvXwVJun2rVAF23Yq+stvh7hZtrAZQ/R6soOuLgjvMqU5Gs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\n6gCneFezi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7MZ0djMIH9n9tVKOON5jnZoAQdHSZYTEQ3eB9n/uq++mHeP4xXRmQlgjEei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\n+GNVblnFPo6o1H1rn1sWvYujN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7/08P3FbAWxKX4GbJpR2BQ539jE3y8Zm8aZTnLijRDV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RmX1Rs2bNmjVr1qxZs2bNmrWLzAKFQs8vld228k88IqKRV4J6UyGHP2dbkS/B5BrQuaaCPRzS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\n"
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Implement an alternating-direction method\n\n### Exercises: Implement the ADM algorithm for Frobenius norm minimization\n\n1. Use `cvxpy` to implement the ADM for Frobenius norm minimization with rank $r$. \n2. Bonus: re-formulate the ADM using the matrix re-shaping above, and write a new algorithm that approximately solves the Frobenius norm minimization using least squares. (see Aaron for helpful code for this)"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "# Define a small problem\nm = n = 50\nr = 3\np = .5\nU, V, M_Omega, Omega_idx, Omega_mask = matrixCompletionSetup(r, m, n, p)\nM = U @ V.T",
"execution_count": 16,
"outputs": [
{
"name": "stdout",
"text": "There has been a re-write of this function. Please check documentation or source for more information.cf. sparseMatComSetup for a sparse version of this function.\n",
"output_type": "stream"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "`altMinSense` implementation using [`cvxpy`](http://www.cvxpy.org/) and [Jain & Netrapalli, 2012](https://arxiv.org/pdf/1212.0467.pdf)."
},
{
"metadata": {
"scrolled": true,
"trusted": true
},
"cell_type": "code",
"source": "U_cvx, V_cvx = altMinSense(M_Omega=M_Omega, Omega_mask=Omega_mask, r=2, method='cvx')",
"execution_count": 17,
"outputs": [
{
"name": "stdout",
"text": "Iteration 9: Objective = 55.006411449864984\nOptimality conditions satisfied.\nObjective value = 55\n",
"output_type": "stream"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot_comparison(M, U_cvx @ V_cvx.T)",
"execution_count": 18,
"outputs": [
{
"name": "stdout",
"text": "RMSE = 1.8340129180744373\n",
"output_type": "stream"
},
{
"metadata": {},
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x113844048>",
"image/png": 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m5ICTaBySv2UHxEKPHoCYVTU/szejuUZCuScafAfmv47duP9Dc2gcYjb1Q+z0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\nQmCC\n"
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "<div class='alert alert-info alert-block'>\nWe need $\\mathcal{O}(rn \\log n)$ samples of the matrix in order to guarantee good recovery; when the matrix is this small, that's very hard to do (because the constant hidden by the $\\mathcal{O}$ could be large). If we want a better demonstration of the recovery method, then we need to start with bigger data. \n</div>"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "r = 5\nm = 100\nn = 100\np = .5\n\nU, V, M_Omega, Omega_idx, Omega_mask = matrixCompletionSetup(r, m, n, p)\nM = U @ V.T",
"execution_count": 19,
"outputs": [
{
"name": "stdout",
"text": "There has been a re-write of this function. Please check documentation or source for more information.cf. sparseMatComSetup for a sparse version of this function.\n",
"output_type": "stream"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "U_approx, V_approx = altMinSense(M_Omega=M_Omega, Omega_mask=Omega_mask, r=r)\nM_opt = U_approx @ V_approx.T",
"execution_count": 20,
"outputs": [
{
"name": "stdout",
"text": "Iteration 5: Objective = -0.00011968265036374178\nOptimality conditions satisfied.\nObjective value = -0.00012\n",
"output_type": "stream"
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot_comparison(M, M_opt)",
"execution_count": 21,
"outputs": [
{
"name": "stdout",
"text": "RMSE = 0.00044200820311352993\n",
"output_type": "stream"
},
{
"metadata": {},
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x113e46fd0>",
"image/png": 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051mvcXZNmhmjNQ6fEHNnzeEyiL6Ydm5l9P+D8zxPLoi92CnN2K4tbnfR7rvo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ZOfAQGLLS0iIiIb6KV9LziPmoODg4ODg4ODg4ODwzqDe1FzcHBwcHBwcHBwcHBYZ7iloY82WVq7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\ngdu4DwD1r9j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tcp0Y1gJVnpC2TbWoaeiJP5XfmTW/JrIwV6XyrH+dxDHcqHW3/FuS9547\nvLxb5zCTJZrP9CWRO8nz6hAk0yj1OLhaZWBJu5Sx6JL2D+fkZfwONYNNHdffl7mgRo0QQgghhBBC\nIoYJPdeZhBBCCCGEEEJuPNSoEUIIIYQQQkjE4ESNEEIIIYQQQiIGJ2qEEEIIIYQQEjE4USOEEEII\nIYSQiMGJGiGEEEIIIYREDE7UCCGEEEIIISRicKJGCCGEEEIIIRGDEzVCCCGEEEIIiRicqBFCCCGE\nEEJIxOBEjRBCCCGEEEIiBidqhBBCCCGEEBIxOFEjhBBCCCGEkIjBiRohhBBCCCGERAxO1AghhBBC\nCCEkYnCiRgghhBBCCCERgxM1QgghhBBCCIkYnKgRQgghhBBCSMTgRI0QQgghhBBCIgYnaoQQQggh\nhBASMThRI4QQQgghhJCIEV/MxGrN0nAC44AxMC7Q5P+z3/3r6fdm+m4vZrye6z0gnOn5ac/4cYYF\n92Z6HoAx8uys9/08LOCZWcLmn89p8c/23mzpzDM/hWHhvMuiYeGUsOlNJB9TSjKlO9nWnuH9sOBZ\nF4/JP+t9z4dPD5seTzjrvanxyXPGFIbN+KwXx6zP5Muv4fpMOLUc098zgBuhhc/54fJt94Hx74Vh\n+BhuYmpNQziBCfkym3xasGya6fv0NDT4SmWTvDP9/gzvXAvZNN/nFiKbvLA55dNCZNOM4TPIp6uV\nTd5zs8unq5dNBWH5ezOM/auUTXJ/Lvl09bJpenyXk0/GzF82AT8t8uka/u10tbJp2uXc8ukqZBMw\nb/m0YNk0S9iM+VyIbJotnfmkMWP4Av52uirZJO/PRz5djWya8swc8unqZZMNn6d8ulrZJHUzt3xy\n1/OVTYs6UZvAOO6NvwcwAUxgABMAgRHhEwTSEvlPA+Pdn3Iv/91dB0AsKAgPjRGdoffO9DD/e2hs\nDzQGYT7MPQuEMX3GhcsngECvp98r+B7M/tzUe5iW3vR7mP0eLvN8MPu9Kde4fLow4czvTbsX2u+Y\ndn/6PTP9Objw6Z/ynDEhgkDvuQEm/4Agfz31e4Bp371PuWev7b+4yU357p6T61zB91j+u9yL+dcm\nRAAX7sJySJisvGuf1U99NmZyCBDaT0lH7ufs/dCG2/fsszFIeJHJalw2vzG4/ME+B8QMEIOx1wYB\njP1u7PfAXstVbOmJ2gULhxvMBCZwT/DuvFyaUT7FYlcnm/zn5pJPsZll1ZyyyT47L/l0OVl1Gdk0\n8+fM8mm6HJuvbJpL1s0/bB6yCf69WeRTcPWyyUy7P5t8CgJPBl2hbJoqe2aXTyLDrk425WXOHPIp\nYbJXLZvy1/OQT0Vm/rIJwE+JfLqGfzvl/1a6Qtl0BX87hfl4r1A2zSh3ZpZPksaVy6Yr+tspuDrZ\nBMxfPvl/j12RbPKu55RPQXhVsulK/naKXfbvpGvzt1PcZK9KNl3J304JZK9aNs33b6eEkanXfGUT\nTR8JIYQQQgghJGJwokYIIYQQQgghEYMTNUIIIYQQQgiJGJyoEUIIIYQQQkjE4ESNEEIIIYQQQiIG\nJ2qEEEIIIYQQEjE4USOEEEIIIYSQiMGJGiGEEEIIIYREDE7UCCGEEEIIISRicKJGCCGEEEIIIRGD\nEzVCCCGEEEIIiRgmDMPFS8yYQwDGFi3BK6cWQNeNzsQsRDlvAPO3EKKcN2Du/HWFYfjYYmXmekDZ\ntGCinL8o5w1g/hbK20E+PQcp543iRvcBps/0fxrTn5dsil+HhC/HWBiGdy1ymvPGGPNmVPMX5bwB\nzN9CiHLegOjn7xpB2bQAopy/KOcNYP4WStTzdy240RPNG13HTJ/pv53Tp+kjIYQQQgghhEQMTtQI\nIYQQQgghJGIs9kTtbxY5vSslyvmLct4A5m8hRDlvQPTzdy2IehmZv6snynkDmL+FEvX8/TRwo+uY\n6TP9t236i+pMhBBCCCGEEELI3ND0kRBCCCGEEEIixqJM1IwxjxljjhljThpjPr0Yac6Rn88ZYzqs\nS24XVm2MecEYc8J+Vt3A/C03xrxsjHnLGHPYGPPvo5JHY0zKGLPLGLPf5u33o5K3afmMGWP2GmO+\nE7X8GWNajDEHjTH7jDFvRjB/lcaYrxtjjhpjjhhjdkQpf9cayqcryltkZZPNR+TlE2XTgvL3tpJN\nC2EuuWaEP7f3Dxhj7pjr3dnq2hjzbmPMbtt3dhtjHvHiGDXGdNo+tc8Ys+Q6pN9s03Fp/JUXx3lj\nTJuN68+NMeY6pP/LXtr7jDE5Y8y/uQ7l/3kgzdXtAAAG70lEQVQjci1njJnihdAY8xn7/DFjzHuv\nU/lnTH8R23+29Ber/WdLf6b232bv/cDGNaX8V0QYhtf1H4AYgFMAVgMoArAfwKbrne4ceXoIwB0A\nDnlh/xPAp+31pwH80Q3M31IAd9jrMgDHAWyKQh4BGACl9joBYCeAe6OQt2n5/ASALwH4TgTbtwVA\n7bSwKOXvCwB+3V4XAaiMUv6ucVkpn64sb5GVTTbtyMsnyqYF5e9tI5sWWE9zyjUAjwP4rh0z9wLY\nOde7s9U1gNsBNNrrLQAuenG84uTEdUy/eZq89ON4A8AJK6e+C+B91zr9aeW61b5/Pcp/C4ANAH4A\n4C4vrk32uSSAVdPSv5blny39xWr/2dJfrPafMf2Z2t/7Puuz8/23GBq17QBOhmF4OgzDCQBfBvCB\nRUh3VsIw/CGAnmnBH4D8CMB+fnBRM+URhmFrGIZ77PUggCMAmhCBPIbCkP2asP/CKOTNYYxZBuBn\nAHzWC45M/mYhEvkzxlRAJgp/BwBhGE6EYdgXlfxdByifroAoyyabp0jLJ8qmq+dtKJsWwnzk2gcA\nfNGOmdcBVBpjls7x7ox1HYbh3jAML9nww5BFnFNhGJ6GjL/nr2f6s5UfwKjNy+dcet471yv9jwB4\n1cVxLcsfhuGRMAyPzZDmBwB8OQzD8TAMzwDotP+uaflnS3+x2v8y5Z/OdWn/eab/EfvONWMxJmpN\nAM573y/YsKhRH4Zhq71uA1B/IzPjMMY0Q1YrdiIieTRiurMPQAeAF8IwjEzeLH8K4FMAcl5YlPIX\nAnjRmgj8hg2LSv5WQQT83xsxz/qsMSYdofxdayifrpIoyiYg8vKJsunqebvJpoUwH7k22zOXe3c+\ndf0URDN7zgv7IIBPGGP+izM9uw7pr7KmZa8AeNTG0WTfv+Bdu7iuV/l/EaKF8eO4VuWfjenvDAMY\nwrUv/3y4nu1/ORaj/efDLwL4p2lhX7B588s/b+hMZAZC0VfecHeYxphSAN8A8DthGA74925kHsMw\nzIZhuA3AMgDbjTFbopI3Y8wTADrCMNw92zMRaN8HbP29D8BvGWMe8m/e4PzFIWZ3fxmG4e0QgT9l\nf0ME6u9tTRTqP6qyyaYfSflE2bRgKJsixEx1bYzZDOCPAPy1F/zLAD4D4J8BPAjgo9ch/VYAK2zf\n/QSA34Fo068bs5T/HgAjmPqH/nUpfxRZzPafxqK3/0y49g/D8JAX/MthGG6GlP2qyr8YE7WLAJZ7\n35fZsKjRbtWesJ8dNzIzxpgE5A+h/xeG4T/b4EjlMRSzk5cBPBahvN0P4P3GmBaI+vkRY8w/Rih/\nCMPwov3sAPBNiKo9Kvm7AOCC1UIAwNchfxxFJX/XGsqnK+RmkE1AJOUTZdPCeLvJpoUwH7k22zOX\ne3fWurZmvd8E8KsA9rg4bJ9aBtGyfAnSp65p+tbkr9te74Zoc9bb95Z5cfhxXdPyWz4M0abk47jG\n5Z+N6e+kAZTi2pd/Vhap/WdkEdt/Llz7+3lzMnUQU8s/bxZjovYGgHXGmFXGmCJIQZ5ehHSvlKcB\nfMxefwzAt25URqxq9O8AHAnD8P94t254Ho0xdcaYSntdDODdAI5GIW8AEIbhZ8IwXBaGYTOkr70U\nhuGvRCV/xpi0MabMXQN4D4BDUclfGIZtAM4bYzbYoEcBvIWI5O86QPl0BURZNgHRlk+UTQvjbSib\nFsJ85NrTAH7VCPcC6LdmfZd7d8a6tmPuGYijjR97cay1E5oPA3gWwBOQPnWt068zxsTs9WqISeJS\nACkAgwD+lUsP2j+uWfo23QDAL0AWYa5X+WfjaQAfNsYkjTGrACyx/651+WdkEdt/tvQXq/0vlwe/\n/V1Y3BhTa68T08o/f8LF8UD0OMTryykAv7sYac6Rn3+CqEonIat0/xpADYDvQ7zDvAig+gbm7wGI\nSv0AgH323+NRyCOArQD22rwdAvBfbfgNz9sMeX0Y6lktEvmDeBLab/8dduMhKvmzedkG4E3bxv8C\noCpK+bsO5aV8mn/eIiubbP5uCvlE2XTVeXxbyaYF1lWBXAPwcQAft9cGwP+19w9iqhe9GWXibHUN\n4D9DTFH3ef8+Yp8bh+znOgzgJQC/eR3Sf8rGvw+izXnSi+MCgHYb18vXo/z23sMAXp8Wx7Uu/8/a\n8ozbMn3Pu/e79vljENPl61H+GdNfxPafLf3Fav/L1f+U9rdhaQC7IfLqMIA/AxC70rFsbGSEEEII\nIYQQQiICnYkQQgghhBBCSMTgRI0QQgghhBBCIgYnaoQQQgghhBASMThRI4QQQgghhJCIwYkaIYQQ\nQgghhEQMTtQIIYQQQgghJGJwokYIIYQQQgghEYMTNUIIIYQQQgiJGP8fCHv9rqxiBH4AAAAASUVO\nRK5CYII=\n"
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## Debiasing low-rank projection implementation\n\n### Approximate observation mask\n\n**From graph theory:** we can view the observation mask as an adjacency matrix of a $d$-regular graph; it is guaranteed that the leading left singular vector of this graph has positive entries. \n\n**From linear algebra:** the leading singular vectors of a matrix yield the best rank-1 approximation to that matrix. \n\n**From MC and graph theory:** the best rank-1 approximation to the observation mask gives a generalization of the spectral gap that guarantees recovery of a matrix. \n\nThe computation of the leading singular vectors will be fastest if we have a sparse observation mask. We have already imported `svds`, the sparse svd solver from `scipy.sparse.linalg`. \n\n#### Method 1: `svds`"
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "sparseMask = csr_matrix(Omega_mask.astype(np.int)).asfptype()\nu, s, vt = svds(sparseMask, k=1)\nW = (s*u) @ vt",
"execution_count": 22,
"outputs": []
},
{
"metadata": {
"scrolled": false,
"trusted": true
},
"cell_type": "code",
"source": "plot_comparison(Omega_mask, W, cmap='gray',\n plot_titles=['$\\Omega$', '$W$'], \n error_title='absolute error $|\\Omega - W|$')",
"execution_count": 23,
"outputs": [
{
"name": "stdout",
"text": "RMSE = 0.4949322200025105\n",
"output_type": "stream"
},
{
"metadata": {},
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x113fe5ba8>",
"image/png": 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PlvpIOf6HEG2hXL+/aYz//Oc/Jxuffd6V5hjz15+lH96fiW2S8g8E5mepr6V55/fRPh87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\nYII=\n"
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "#### Method 2: `altMinSense`"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "W_l, W_r = altMinSense(vec(Omega_mask), np.ones(Omega_mask.shape), 1)",
"execution_count": 24,
"outputs": [
{
"name": "stdout",
"text": "Iteration 0: Objective = 49.520737131962015\r\nOptimality conditions satisfied.\nObjective value = 49.5\n",
"output_type": "stream"
}
]
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "W2 = W_l @ W_r.T",
"execution_count": 25,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot_comparison(Omega_mask, W2, cmap='gray',\n plot_titles=['$\\Omega$', '$W$'], \n error_title='absolute error $|\\Omega - W|$')",
"execution_count": 26,
"outputs": [
{
"name": "stdout",
"text": "RMSE = 0.4949322201821157\n",
"output_type": "stream"
},
{
"metadata": {},
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x115577c50>",
"image/png": 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ASh+CEC4MAc3NaZb0x0UtOGhPO7qvg1IuLqhyLvDBIXTGzCkpUAo9/xD+90Pr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\nviM64ukbECq58sork421gjXB6a2ldvJubb755smGAMkll1y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ENRBJkaSvfOUrkuqRGuYT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\ns98T0XL0iAi6WQjYnbQDFvD4vd/7vSTt9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},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "#### Comparison"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot_comparison(W, W2, cmap='gray',\n plot_titles=['$W_{\\mathrm{svds}}$', '$W_{\\mathrm{altMinSense}}$'], \n error_title='absolute error $|W_{\\mathrm{svds}} - W_{\\mathrm{altMinSense}}|$')",
"execution_count": 27,
"outputs": [
{
"name": "stdout",
"text": "RMSE = 1.333359687595416e-05\n",
"output_type": "stream"
},
{
"metadata": {},
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x113852630>",
"image/png": 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g6Putt96qZWzPSoKr9wGPRCnZl7ZJzbi7TuiPe8DYytnby7xgy2KXlfpFuYyX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\nrd9d87Oki74T2xTbBLFNsU2zjdin2CeIfYp96mK8xSGEEEI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},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "This achieves the same thing, but it actually takes longer! Also, there's a trick as to why it recovers the same thing (since the same thing would not work in this way for what we're about to do next...)\n\n### Compute $\\hat M_0$"
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "M_masked = csr_matrix(M*Omega_mask).asfptype()",
"execution_count": 28,
"outputs": []
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "u_masked, s_masked, vt_masked = svds(M_masked, k=r)",
"execution_count": 29,
"outputs": []
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "M0 = (u_masked * s_masked) @ vt_masked",
"execution_count": 30,
"outputs": []
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot_comparison(M*Omega_mask, M0)",
"execution_count": 31,
"outputs": [
{
"name": "stdout",
"text": "RMSE = 9.99439570762223\n",
"output_type": "stream"
},
{
"metadata": {},
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x113f8ff28>",
"image/png": 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cYzMX48Brf1Yk+GxI0fs1kR5WLiaNrpI+Rpfo2qp7Uz+g961tYgjHcawu/IxM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\nAAAASUVORK5CYII=\n"
},
"output_type": "display_data"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Take the Hadamard product"
},
{
"metadata": {
"collapsed": true,
"trusted": true
},
"cell_type": "code",
"source": "M_debias = M0 * W**(-1)",
"execution_count": 32,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Observe the results"
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "plot_comparison(M, M_debias, cmap='viridis',\n plot_titles=['$M$', '$\\hat M_\\mathrm{debias}$'], \n error_title='$|M - \\hat M_\\mathrm{debias}|$')",
"execution_count": 33,
"outputs": [
{
"name": "stdout",
"text": "RMSE = 10.979942190676862\n",
"output_type": "stream"
},
{
"metadata": {},
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x113df3e80>",
"image/png": 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sWnbLH1mxSPJCpi6Y1U2fZqevK38by7AaJhRVcRLs1Lv0hlpfN2Jg6NZ0MzXX\ne3PE6lCZF9vZJdglTrxq1hqwgqrBRBtZQ0UX9ggZnXVpW8x3SFfIIj5upGzGGK2YDWASWGAoLvG5\ntX22KrN0wzYnZ0URk460DH28JJuEC/lyjgwb/bFZrOR+V+MV7f/rDVtSXl7jAdq3CpbFwgaisUK6\nnu8oNfMIoO1KsoDZrtvq0Z4jnLg8ZCsx8XVeyYmmrIHicR6ExQti0w/9VJmU1UAwndEx2wTDmFDY\ngoGara4WhDVLIPSFrsy363Y9HbOVWbAo78m3d7dQBXcjZp7iv4NnwMJcmqgF1PHGjvzaVlMWycqw\n31tNLepXrX10Plk3P6QMfVdgfJ/hk2eewLJw29dl4RDnioWjmoGlVSZkPMICs9reT/wlS+s/Kb8B\ni6H1QROefmF0NncAkyhsy7n/86EsrSV1U4t3ZPn0eJyHF2XxvPeK1XX5fllhhUXPXX/MJ934pI3v\ngVNieQwM+PJRYf5u4pzIf1d4QZSGvmzOKaNz3CkTn7Nr9F3kcy9+0a5x8Nf532tGANCub/M5cck6\nY+Ehrm/fJTDm+auTRERU/L/s5OXDXB80yVgXY5VNYcP2/TtrqJkn+W8Lnp3KgqL5Rs9lLsvgeWA0\nymJ6ApFOtI/RpCj5U04MYdrUuWFjF4zPTWHoTuZZwVXxN+i9AuUUY52FR6yuQy8wo7/wjLGWcVnM\nRMpgItPIt2c2N82jwQj/HThn+ap5zr2AlQf5OdX/8o0sLbNzv/+gHagha9A6/9Wz/I+De7M0Zd7q\nv28slxp8ZCwakTFPo/Zsrs1wu0b3Qb5itx7MsMFJe8NYpOI8/zvcA4YPkdxbYBahoQCQNVabdmQI\n42uTUgdTN/W+yEwZhptSq/rR79mEq/b98QI/h6Mhe0+L53kCL+y3dlof53e2moQ4IiIqXOJJtQ3W\n/hoWIugF1voKt2NyA8xZHpLrgFogEkOTdI3fhVo9Nj9tSbPXgImpfpMVDDt6bd5dUnMi6HdllGsz\nNmcWliR807yZgE1+nPuxb5e1584vs2QDDTHa93E7FuX96MoX7H324As87gq74eGmYRzAur78bWb8\ntv7CY1YmMcDT9iciCp5m05f45TeytPHvSRgDtOKX/tz8YQuHVT/L/ZNWJVTEGZOfxCPctoXEyhlf\n5Ydq0mN1rU3xINz6zNNZWnFZTHRK0MYj/HKg7UpE1gcQKiJZ4/fh+stX7LguoQJuB2fUHA6Hw+Fw\nOBwOh2NNtrSWAAAgAElEQVSbwT/UHA6Hw+FwOBwOh2Ob4Y5KH4fOddESClo9VpSeS0wTrh0yzdGN\n8xx/oDJltOOmbN4fOIVxdJhGrUwY3TpXYLpz/IJJIeZ68t+oPRInam2vSi/BCEBirK32G+1aRYpe\nsPUAb3isTdr1R0/wgZcPWdmHX5TrHcCYchK3CSSFvdeZPj553WQDWjOVww2cNrlfuM70eXLAqF2V\nLfZ+0657XjQqwxAVpCgbu7tJMHHjthpdjL+Qj0bf8xbTub9Pj1uibmYHWcrKEf7bOA4b1we4vWvT\nprkaOqG17dJf1002OT3BfVyEDb69c3w9NPhoDKjklf//9TlrJzXYaAxDjI+G5mX5Lsi4K8+DiY3I\ngSpLJjPYGBfZZNHyf/NbR3LXq87xOZOftvE29nUuS6un02CAiKgxzvfRvj+EMknMwVELX0c3P8Zj\ndfq6aaPCQt6AAWV3lsYNdPMjJm8Ye4UbozFslH20tEb3AnquiWQYgsmoIQVKAMtLGsfM0jRWGUqg\nSxIDDE1CStKHGhuKiKgxKsYI/Za2tifsyJ/IZF4qUUSpeM9VPhfjScYVrY8dF4lEsP8N6z+tLpY9\n1HqbsieLXVWdBnMQ+eeC7dXPDDsKXSTVoUgvA8hL2x2jE2l8tDQC2a3EDOs7A5JdmRrwevXr0nYQ\nx0zLUr8adpxHRLR8kNui7wKYuchjp+esHbgooRVLyyCzlPm8uGZp1WmNGWZpU9/gZ0IRVEG1qXxM\nOW2D0gqX8+azEANPVEEliC2n8lo0XdGxunjE2kllqFhOlWWjV5BuScA4c6GYefTBvKox9zR/HCel\nFZGAxRjjjP/2XoLntOTV94a1sZavBc9m7VvsM70HMaCVHpeAmigu3jtmIn1viIxuejb3G8aaSkQ+\nlsXLIpOepWA6Eg6x3C48YrG42mdY34zmD5HElgrftJhl/a/L5APxpFRKqPHOggJ0xGWWKiaHTVKY\nnJSXgcRuXpVyDvzmS5b/Pn7vSWbm7Lg6Dx41sODCSww4lOot8/aPkedMehjPcTuqbDIoWjnVuKJ9\nzeSl1Vk+XuNCEhEFA+zcFVbsXXDgDbmhwHwjlthZQdWev8HZKx3XICJq3+B+CZfYzGP0hLVrcZ61\nyenEpF1DpHW1b5o2vOc435QxmK4MvMqGJe3LE1laKkYXIeR/3y+J/DWBG0pNMrDeL7BOvjrOZjOH\nvmPyyUjSVG7KiWIEB3JUjTfW92cQ22ydJY0JxFZLRfIY1sFQ6zz3S7phD0Yd2/XTZs7S3sF1iy5y\nmwUgB02/x3VoQ14a761wBoxTpO+iEOaicR7b0Q3LS8ebGpgQEQXSxkHNxkeokttZkBWn37802xk1\nh8PhcDgcDofD4dhmuKOMmqLZZ9+Hg68vSZpt6gxavMqCZhHRZn7VeuBSO3e9ygIfsAjnBvP81d2u\nwOr2ct7ERJkX3exeWrYfq3OyIXveVmzUEhitiItzvDoQl+1rurCpy4L2Fd8YVavs/Fc1rnxqmeNl\nW1LUNqjM8+oFshrxQE8urdDozZVTzSdww3XY5uFQssWrDNU5LKewUmA7m8qqhK7oquEHkRlYpAVY\n5V7Lr3aWxGAkruYNGHCFXtmMNhyn57ZsHy71Xb39ikXPBOffOgp5CVNYmbcl4miL01o1G2M9Fzmt\n/7INxtU9eVONnuuyQgxsidrnR10YB2wzXdXX8Yljt7DKZVnZl19JR2TtDeyZMnmrByBfKQvmsdUn\ntuVQx9INXvFrDJsPfadpzd2LypwYQ4DhjbJXaKiirBSyGMpKdFv1L5sjdmZDjMYdBWFsU1gyUxa3\nBGNE+3dL7uHSEtIJ/KfnKtgQSwgAZMf1XkIWp9DM1ycrCx6nZYFy6kJp/bodmGgbyG8RsC1ZqIsW\ntKfkj+xHaUV/s3O13oWNvMEKMjoaxqNgZHtm8a7zO7Kcerza+mOZG0N5lg3NNzRfNcvAumHZ+y9x\nhy8eBct+Za2gG4ty7VZNTDqG7d4rL3JHAuGbPQfQ9Erbs2MlPE5zxylDu9UHzy65XsdY3NI8sM86\nj8O5WZk6HHf6O94flHC+RWA+9XposKLjCRmNrN2hnBnTDO8H91JkkVRW8RNgLMI6r9zHk8aUpWKL\nn1mEE1GyLvbvkJaKuUEyaw/7SFmWEVO5aLt3MHnKggGjpqxEPJt/eUiEMYkmgNFT5gvYDj0Oodb1\n4aC9H7ZvcltE/WZwEi/xwEM7d7XbDxo2QYS9vR3XpTq0iUxoIZhVqMU8sh9pU+3f4YY6xYYtUZ+V\nKVFDlUZeepWu20QSSZnUYKRw3GzqAw23EMPAVlYMwi1ZmWx8pCs8yUTD1p/J8qocb2xY/FE27ijO\nWpmS81c4/8hussIuZsOUlYyffsDKJHb3aByi7FoIFvbK/uL9rIh6jD0Lentyv2u+IbRxPMfjLdgz\nnqWFJ5mtS2VsRTCeqczlQ4Y2lHGUrJiUILtXRs1sLr3CL08BmPLQNRvTimRR2nYJnsdiGKOmO39e\nOKPmcDgcDofD4XA4HNsM/qHmcDgcDofD4XA4HNsMAW70e7/x2X2/kBIRJYumB0oekujtsyChEvo+\nbRmNu/5DB4iIqHod6NmabAKcNcoyneSNo62nj2ZprV7WYfScsk2Azf28mRTlldWzfK5ubgyAFl/7\nEMQAEQQiB6lMgQRQItjrxlgiolCo0q1dtoGzdIZp1MYjRqNWL+ZlA7pxUutPRFR/6QoREbWP8O70\nwgXb/JrIpt4UYnxEg4O3rU/9nG1uVPni6lErp0LjShCZNBWlj/FbF/nvJ57geqHhhMjFan/6ppVT\n+j2asD7Rtqi8ahuXaZRp63jAyh5uSMT5c3Zc+6PsaFCesPokQrnrOCEiopd4k2rj8z/E+W+apCAp\nSmy347D5VvLHeGGbe5iiVxMJIqK+5y7zNXaNWn0kBksB8og28hpFrU9rxOqo9dBxivXStOibx7M0\nbXc8TmWwHfW/pa5ERKXXuezBgEkKdNxtPGGbzWsXeaO69jURUUFi4/zR1f/1rhYaPfWzv5wS2Vgl\nMjmVxqMhIips5ufLzMAA1YhdzjVZmh3XqvH/lMEkQscVGpZouVS+hvLJWPLHeFbl5Xxeeg2N+UNk\nUjqcB1UqhzK7ROR9EcgWtb4oqVazi0xGDtfVNLyuym1RsqbGJVl7kcn8tL0wf5TlqYSzQ6rX6pT2\ndsTHTDvz5Lry30IzX1esP7bjrUCJfkPap7oA5exyanLLRoSO9pd2LGwmubQUVNda/yDJj1OUR2ft\njuNIFF8RyEbVAAbnOpUcltbSjv8nsjYpbuJ4zhUlkz7hbyqR7DpmuiiGuqVhG2oZvvs7v3hXz01E\nRJ/Z+fOiVQVpmxpo1CAm5wxLFNHMQ6VnsZhVEJk0EiWFGvdKJWZ8HYlZCuYkqnnueMeRPFR6maC0\nT6V3LbjxVCoJealxBBpdxNMzHXUlsvcZQjmgHr8K8jVpA5QyqoRQpW0pxHvLrocx6OS4ZAXeT+Xe\nwncsNRbpMM6QtkODjUzCCCYqWm89Lhqzd4hMwgzS9GSOn8NokqFljhdN0qj9k3Zpp2jQ2ljlim2Q\nt+q1A4j1pQY0WZvBdVUiqiYct4OOOzR9UaSbNvHoOELJqRrAtGVM8O/6ELC2KOyWeJXy/dCesndM\nbc9owMa9SlQ7ZJsSt69DQqx1xHdrKVMC95ZeJ0RprkiC1XSFiCiRsf/1jd94x/nJGTWHw+FwOBwO\nh8Ph2Ga4o2Yim8d4w18CPsX1s/x1rKv/RMbYxGCFP/soF7W6y75SR1/iVY6Nw7ZZsCabJa99yr7Y\n1ThkfYflq6uBuBpMxOXbGONVhKGXbYVhfQd/sbd67Pj6FH/tb+ywMg2K0+nKX3oiS+u9zKtLkx+3\n+pQeY5v2nd+2L/HWLl6xQLZD2cCZJ6yrxtrMcpRWeMUAV9Qi+XeHJetu/oqfecY2RqqZxP4Fc9+Y\nf5jPRTOTbmiM8XHVFqx2jO3gaxwud1yfCO3IH8rS1AAmPHgoS1sf57RhsjRti60+2HQsTTFQvM/K\n/hC3bfKYMZ+Db3H7NIbs3MGNYx35z/w49OcEH1cH+/K2jEE118Bz0Yhl7jOHieiWjfUrPI5nH4PN\nyUX+t4ZMICKqLCVSfwgLcJjHqq7+16o7st/WdkkDHP5Ilqbjsj62M0tbPJZfh9lxnC+odv5ERLs2\n2D5c+5XIzFNq07Z6FMgql7J3RESRsHF3O3T1vQHzgRpSIDujTEWrbm2rhgzIbKg5SccKvyxEdrBC\nArTnVxZODR+IjClZOSD9fCNv046MSaueZ+WqYvGOzJvWsW1dT6lYEiMrk9mkg+EMJZ154b91buxA\noAZOYBYhTF0b9o6rOQeybMtHxJ7/kl1X2z1qWv5qBlNCjxtlzcSwZOFBKJJcrg9IfO3H9SEM+8J/\n6zchZID2O9xmmXU8sHE9U1yRmSdsgPRfoByUQdTrLjxmde17S0PGQF2lPmiAo8xggJSdFAWt/ZVd\nbUAdtR4xEPA6ZpMu5iBNGUfIPGrbbQ4Dk9zFMGdzh4zxBRzH+evpvYDjTuuBZdKxj/dgFyLhrkUg\n9ySyI8rYKItGZAwAMlDxChuH6Oo/kTEAaKCgbEh430HLeEYYL2CFCmKxTmBm0Z5ghVD4MD+To6tm\nspBo/sP2/pGxImh6I0xEB6On7MSgnasGEtHhA1bOZcmjCOE7FphdilfBgOUhVlol5/PPrYwNCsAE\nQq6XAqOoDGEsoRCIiNKH+X0umgKTDmFRkD0Ktc+A+cpMN/p4EmzvAvOPMh8ffuc1K6iwR9FhU7uQ\nlDMAhjA8IGotGDPpzZlc2duffJKvd9DYnkDNQYCNjKeU3eTyNj/3VPZb+Q9e5jwhZIEa36BJSFZO\nYK8SCaMQgBV/IExaRzmFGcPwEXqdAExkdFxqqAo1kCEycxQ1nyEyVVAbTHmiIWbcMHxDZmzz8DHL\na1rCPYzZ+5kaxWi9iIhCaYMY2L2OMr8DnFFzOBwOh8PhcDgcjm0G/1BzOBwOh8PhcDgcjm2GOyp9\nVEnh+k6IzbDJdDzKAvf/HtPyKwcqdCtQUledY6p45im43hNMQQ+eNdnI7FMslRg6B2kipaxNmcxi\n8ShTkStH9Djb1KlSyYXH7RrDb7Y76kVEtP5TzxAR0dRPwEbTr9iGRIXG5Zn8lG3qLEjA9fU9VqYB\nDs9BjXGTMlz9HNf32P/GsoXlJyyGhJp+JPtN5nDpc1wvjR1GRFQSxWVzyCjopWOp5JmXZi0dMW3U\n7MeZ0j78JaNuo+JYx/EJsLpbsm/z+ietn6rT/O+BT0zZgX+k0lg7buYJbtvqHMiwpClW7jdKe21/\nXq45cInrobH6iIgu/RWWUNSmZNP7Dos311xjenrxoxAnQ38DSdzmCP97x3GTFCzzsKPDvwFy2aPc\nB2hesHJM4tyctVuv50YieYD0UeRce77G9D0ajTQH8+Ygoye435cPW3/GlXybqOSxBLGKrnyeB6NJ\nVImG38zHflk/JvLWhyz/vWfyZbkbsXyIxxzG01JTic1dEKdRYqphfDAdjxiTUeWFm3BbbPVrLDBL\na8ht2nsV5V78d+UwSBRlb37PNR4raLiQiARu7ZBdY/BMvo4qaesw86jqX4in1cUkQqW1KNnVcd0c\nsrThU52ytGa/XaQsEl80pmhJO0VoPqESPJj+h86IfPBJu15xVWLKgcxRy9yqYxof1xzkvwPnLC+V\n8a0cyEsABy6CzFLqX1kEubfcoyglVfkeSvCmf5j/7v+KDZC1PflH7+YIZ6yxxfb9oeU1/7DIeaDf\nte8wjpuWPeyQI+Ylmqv7+H9QDrlyWEyfbuL6rbQdhCLSfhk6LTJgGDs6xnuvW9nXduXXg2vT0u6g\nsqss8LkbIA1WaSTGVus2jrW9O2KaTv5gMYu2I5JRfoiGIPtSKVo0ZLJAlcUFGOdRTBBQxpUZHQyB\nmcgUP7vS6/ZMVskWGle0r09ymT72eJZWEll8Y5SPL09CfFKVfe20+Jsk0scOQww1rjhsWxqCt67y\nuSCBK4ghQzJt5muBxMdKd5sEraAyPDDEWDvA9a5dknYCuV0W/wqkjySGHNGovQuqsQhK19b38nWi\nHfaeVL0q7ycTk1ZOMeyKoH9UoolyQEV2b3cxy7j5KXu47Px93uoSghwyqUmbHLeHQUd7a9l3irFL\n2fIfflmOxzhzGsdM2nXhmLXrrj/htkCZZyBGH/EaBJ8USSPGdsvklWDSkRzhd7Bg2aS58TOsWS9d\ngLiBamwD5WztFNmibP8JoY9Vapt+5FG7xhK/eEd9oL8f47GKb1ChShkxfqPGmYO2S2GsZmUX+S+2\nf7KRjxt4Ozij5nA4HA6Hw+FwOBzbDHeUUatNMxPTd8WYCGVq6tfzq//IhDQH+Au8vITMBn9nFtbA\nJv0Kf7Gj0UNhjb9iywv2xV6dy5uD9F6P5TddqQXG5BCvHpTBQX9jTDdE23Fqxb7j6/aFHW0luToO\nXGTGYuJztgKx+8+EbWlbtwye4S/xpWP2tT8kq9Zq94+rrIXTvIqQHDDjlOHXuSx9VzaztJsfEZtU\n2Njfd4Hbs50nMgnXForT3BaNYdjsLqYSlb33ExHRMqwBKLMz+opdLSlw2vwLxgZqi6kNPBFR3xCv\nZDUHYIOvlHngNWOvFo/x6lL/hfwqKrJRe7/B7a5mM+Fpa9dISKTSiq18o4mJojnCeSCzpAxuCqt3\nakDTd9Wu1xzI33I6ZspLdm7/JQlBIGEBNJwDEVHvGJutYP3VUAeNYJQZxTHelAXU6mVrp6DNbVtZ\nsnFcmudV2LknzChH2Yf+y7A5eRSW2u9i1Cdl9Q/GfijTBRp3hGLPjnbuupqfQteWlpWdsDQ1ZkBL\n8prsLU5gmKmpRI/5AWXXVjVCbSY/X/afz9cLEcme+mYxz57h/Y3zya3HoXGF1rt2M882K3uGzK0y\ncGjO0pa5ARkoXYnFUAhLh/mAHmAelSGKwMAnrqqNvV2v0OCyFDb4BGW/Ma1knk6Z0QYyQcoQBjGk\nST/iWChuSNk3gGV8lcs+/zCET1jI285Xha1Vhk7VBERERVmURoMXZfSSUr7vkMXPVp0hL1WStEHs\nUb+uhiWWpvd8ugJ1lGgwamaC7LIydGiOo2wYtpMyX9juagiibBuRjQs0u1EDHLxnNBwCMm9pmB/H\ndyvSM+x2k/abiiSUfwcVNHzgCQUNFNRaP8T2UGv9RbAVl+ug1bgybmhxH69wh5cum0265lvuVTt7\nU6qonXk0Asyf2KN3YxXCi8ZAqSU62rQrQ4b256mYoiSnbBIMlLUBY5X6d/n3RG364Tc1qQh68iwb\nGrGgmYWi7wSzkMlNM4vIzDSwnKvSLhg+Qxi8RJinaBneSaQtUmx/MY8Z/VVglrSuN+2dIBUGCPsu\nMxYJbSIffk7yAFYoFsMQZW2JoH2kPnu/bO8ksYYsiOG9Qo1iwOAls+eHNmzP8Et1CO9O0SSnpchy\nvXia84KxkIVAAOOOW5k07E9tu+KUjfH4Gk9oAZZzRSZcCBGmPZa8cS5LS6TvsI27MaMFCTmBoQUw\nhMY7wRk1h8PhcDgcDofD4dhm8A81h8PhcDgcDofD4dhm+EDMRJKCUYMqgUiABWyMMz3artl35NKT\nTJ+r7I6IqE9i0aDkSKUaa7tMF7G1WyKUVy1NjTP6LsBG6B6RwawxtYqyNzX4aO82k4X1daY7USpS\nOy7Sw/2HszSMWZXlL/HGMFaQSumwPut7a7l82xfE9GR/Pg5DfB/HxIrOGy29+SMPEBFRc8B0LmuH\nudBD5/KyuM3D+ejyA69an7UG+NzNEYgLJJs5p58RKni/bSBtzUhstwrEhxM53tYASFTXJcYFlHPh\n4Xzspd4r/Feln3idxWNWn/4LXD40L6jMi6RQzQ4GIC5NW2VTlraxgw9EwwCV6DR2WJnqokJojhvN\nruYFrR7r0M39MhbnLW1pLd+PKnsauMASltK4tYnGm6vss43gGisOJaLZ8WBOUxUTFYzZplK05YOW\nVlrmsY3xi7TNUJKMsQ7vZqi5D8qlgjgfW00lh2jMkOSVDtnvGi+KiIj0XJAWbsoe9QpIqpuiskHT\nEZV06VyDsi8t54pNOVS/kZ9XdW4Mt2w8aNyzNuy3DmWqCWFu0theWZwwMind8gN2YN9bXLBUZC8o\n88zmOoidpNK2BOSYmRwP1EFabzTO2BJ1VzHKS9ww36jV+XthI2++gVBJe9lCHWXjA6EyTzS1UPk0\nxpbTewjzyvoR5nqV3er9uDWAcc/yBdX7ESWFOhY3QO6s/aiyXSKithh2oMy9Ocy/V2ah7HI9DMvW\nUHmrGsuAKk3HCUqwY8mrI/+qxsCzc3VcYn1U6olzuLYPymVVSdYGI5IiyE/vesi8lIIxQyhyvBRi\noQVVftbGIAXL4n7NQrw1lYXthPhPN02WlaVJfsGISdwLg/2541S+F2xyh2YmC0QUjfM7CTXsvaIt\ncawK+824S2WBWHY1X4h2mJlHqrJKlHLKcYVdtpWifYPliPHHH8vSSq9d5MNH2SwigZhtmUQUDB+0\nPVWex1WV8YwSSZE8BvssjmtwSd4FQd6pxi9pbANf6xhKnLnkOujlNX4exLELj7BhiLY1EVFaE9nq\n+SuWl0ouIY5aLDG+0MwjXefypQv2XO8WK07LrnF7W+P2/hFcuUo5iEQxBZln3EVKqrH30tMWXFJj\npmE5w4M8VuLzFvRS4wWi1DfSe0DGWIAx8KRNUpD8avy6BO6tZFDSTp61c0W+SJugq9c6Qv9Ql/cB\nlVAGj1sQz+BcPpbf7eCMmsPhcDgcDofD4XBsM9xRRk1NN8KWLcHFFf78TNqw0VqMDKrX7Ct1SDai\ntiu4OqoGAPbF3hBGYfiUffVuCBtRmrev6IGzEtEcmJpCo3MFrrhh5ey9wqsem2u2BKmmCmqJT0S0\n9cAeuhX1m0nu+srsLD5sn9/9YvCwusdWdOrXeLWjOGFLunqdvivcTvMP207raIJXItBMRI8fPGfl\nTApcjwhWZcpLPByKr+eXBHDDftgIJc1+11WZsRe5DtNkq03FvNM71af4uLUDlqYrtIVZW1HrvcL1\nRkZL+704ZytVpSWuDxq2VGW8VaZtLMS1opRdVoXngVmS4YbMq7ZdYTO/al+ZyZepetasjetjvAKk\n/URE1Bjhviqu27kDF/n3td3W7nXZ7N//IjOjyaKtdoWtY5z/VUsrrvAYn3/ExklFDB3Ctq3HNGU/\n9+j3rEyzj0nb3bTxrmYiaHCiLOjqUVtR7blkm8bvBag1OpExRsgiKZBhUFYAmSplj3pgPKo5RmMI\nTSX4b3Xe2r4mC99b9fyYyww0gJ1oiRKgdwIYmEa+zGpSsrbHxoMapYSwIJgZUsR2jZpMnR3Mssyd\noy/B+JJFVmVC1PCCj+/8jchCcRSg3ZVtQSOSDNAkPeo5AIcp24PGGfq7sqVo56/9rUwQkfXZ6kG4\nR9+S0ALA/PWIAQ2OBWUDseyrQ/nQBsqkoRGH9q3Woc8WmLNKpMBGqtlNgXDciT3+NWsAvS6axOj4\nwJASNSFU4lJ+HKPJjhqhKGOFTGHcyLe/tgW2cVmmrpYthGflw/GhDCoydDoGkHFWAxpk0ZDBu9sR\n9vK8HgMDFOpYACODRMwK1MKeiCieFxZjAJgwYXHSGtip72Y2Kkis85Ir1/i4BaOXw0eO8nFXbtj1\nlFlQBq5q7ySJsDJhHxihKFN11YxDCjuY5YqOgTRghuuLBifROLOAaH5Bs5xHPG2sYWGMWbhgFW4y\nsdTX46LdxsClk/zs7mah3mE0Ie2Ybth7hRr2pBOmZAoPiMV8y26yZI7LiYYTyj6mYkWP7ZQMi5kL\nsmzKfAKLRJJHCGYzalmPBme0ynnE0J/KlCXrcEOt5Z/ryq4FwmgW5u0aKVrga/7aZnA/KxvX3gdh\nFKZ5MkgHzWxGTVxwHMW9PM4Lu+3dNp4VIxJos/Ykj0s1LgkHIQRFlin0sYyFEMIt0A0ZH/cdsjre\nmM7lr6EqkN3Ve7UDUu9ozsZxWqvmj7sNnFFzOBwOh8PhcDgcjm0G/1BzOBwOh8PhcDgcjm2GOyp9\n1E30K7uM9h37Xd7cufKxg1latMQU7PpR23DYKX1jjByXOBFti1NRm2EKWOOEEZk0aeFROw5le7di\n/mGmRff+Ccb44DI3B63JVL6oseCIiIZfZcp26dNGox789ywHuPJ5o0RD2cV9+Hcsj+YQ54FSq+X7\n8pSyxlIafp7z2rFslUl2Md0fLRl1XVxjWnj+IZBIFLUclpfKlkZPgh5Gr7FqabHEWxl5wWKGpLtZ\naqHS1OJyXubShDAquhEe+0E33a89bLINlbxU50yOoXls7jW6uyD7QNf3QEy9CdbtqNyRyExchk/x\nbze+YJqv2mmul0pviYgKm3xuccP6vbzE7T9w2jRU1z/NcoieI1Z2lTxOP2VjUeVftZso9eLxpv3K\n+fLf0jGWZiRFo9s1pl/zGcwrL6/NjF1Aejp8io9TuSNRZ9sq1g7xWEXjkHCdCzX9SStLz6l3CN51\nl0BlVBgnTOWApVWQAqn0DZa4VD7dYbwSqmQWjuuixNKYXSjfUyldGeRzamjSlL3VFTC6UOlZz6Rt\nGldzGZTlqakEytI0f5TFadkTMOnQuIcogSORuVEKUjVNCtVoA2QvaT5/NUJBSaO2WaFp56pJUC/G\nlgvz19M0NHjK2l1+WzkMMtMb+dhhKisNwIREnz8oEVWpa3MI7tsNNX3JywfR6CISGSyOiUxKGOXz\nUpMQNNDIJIdQ/8aI1MsUYNQu501PtL44ZlXyiFLGrOyg0um5oWNGy2HXUHmvylf5GnnzDzWCafei\nVDEvTRUlZ4cpjvY3GsaUZP5vY0y7uMsNd5ciEaONoAiVVvlWxd4rApGnxSCVDyoi9wP5YOHQAf7H\nDRgoIvlLwFRCpWfh2IgdtylSwj0mG6S32OAhEAlaPGlSvUgMPlYfs+dV9Ssv829oaiHGEMlFu8kz\no16r6PcAACAASURBVI1D++y4heWO34iI2mJAgmYiicr79pgRSSbDFCOQeNK2Kmg7pW2cDCR/kI3G\ns/O5vOJxebk5YeYTyYTEJ2uZ9DIa5bKkDXjxCTv5kpUP78/+3fcSS08TMKsI9vLzN12yGyWVeqFx\nSUGkfEGXmG0FMD1J5blOiT0/ojGWJqLkVPsgLfPN2Oq3h2XhuOi0wbhEY+ClYOYRP8lBLIsvWSyy\ndB/XJ75qslGNMda+ZmkFGe8qbeSTpW4g7wyeepj/vsUGJzEYwURiipMugrRT+jgA+WQqhiHtUXjH\n1N/g/lB5ZQry1kxqDAY87UtX+Bo7QWoL0tl3gjNqDofD4XA4HA6Hw7HNcEcZNUXfhK0wKAOkphlE\nREmdl22r180us/kss2ElYGo29/CqCFoc18/yRsuJn7FVlMKchAWAFWJlIGafsnN3Psdf5yX5YI6A\nqZr9hHw5Q17KUOFqYyCbWvsuAH0k2Bqzr+76JS7TxritSqgxQ9A2BkZDFGyN2UrF6AlO2zzMq1wl\nYIBC2eCLa4lDL3OhZ37YNnAuPckrNEPn8kNgfUeUS6uAPbKyXGiPX3qdrUbbz3C9G0fBQGOZ67rj\nexgKgOvQd8FKuvA417EPnF5r02K6crQM5/JfZHuaP8L54vjQcBDIVO35GvfPlZ/i1Y7+flsxWhvi\nPMINW71qjHHnbg5ZmyzzohC1eoyhVWA5lS1Ea281vlkD5i9s87XR7r//XOf1ht8E1lRWm6pzdvz8\nY3y9ngmwOR+QesSWtrqX+1utuPnafNxWP4QRGOE2a1dsI+7A6fy4CIe6bNS9C5Gt0gPDoGxTs9/G\njxojhLA/vdRQkxBLU/XA6gFLq8oecGRb9PdwC/pIxAU91+B6yhRJvmiUkBnzQEgSZcgwdEBBGLDh\nN2B8D8sqOkwD5WVlRSxtYzyQOuTNl5a+YPP04O+KAkCd25GpE0onBUMOVQ+gJbsai6AleyK3VXnF\n8l85kDc1UsMONELRtivJuUkF2HmZX3uuwXX3c9ru52zFc/KHuTH6L9q5asrSHLJzx17m35u9SEvx\nH2XRiGwcYb2VjaxP5hnutlwEw7l0MyRpjPMzZjG2DtX6911GAxoJnwAM8vL9nO/QyXzZEU1hF5Xx\n7BaCIQI2tCXHV2etXqtP63ForJNnGZXNXh+zMunzB9suFOOkjQN2XN+VLoW/S6HmEwEwW6kYbaCZ\nSGZSAaYzjWfZ/KP6wlt2QWE7WsfMHr+wIjfSLnt3UsYiWLH3s/UHuAy1C0brZ6YPwvygWcbWHp4Y\ne18x45C2XDdZttACWXn/I7PTL/8hM29h2RiTdB8zc+mrp7O05mef4Hy//lqWFgpbd/0TxorsuyYh\nDZr5EERqoY4MV8YGocW82P1Hp2yC3hoSNc6DR7K0YENCFUBYggRCD9iBcm+LuURhw27yjN1L8nPC\n/I+b6crwV5nJK6Cpxu7hjrIREaUP7+Syf9cYLQ1LEIGZR1Dg+QPDIrTPCmv2NDNWa7ts8hiYZ4Yu\nPW+W88oyKTtHRLQsarqB+w9YXk1u98IBYE2FlUohzMPqo9zvvWh2I+YsCbBmoZqcjHPZQ/hN2TM0\n/wiKwqRWrT5boowqrEIYBalPvG+n5XWdH+phxc5NhdVMIGxGxqQOwjsjsN7vBGfUHA6Hw+FwOBwO\nh2ObwT/UHA6Hw+FwOBwOh2Ob4Y5KH6NNpnSLKxChHjYkKjQ+lpoXEBFVp1hmh5u+WyJbQblSe5Sp\nxepFo95Vrlibyst2Cmv2rRptMaWq0oq0aFKiouw9xE3NelwR9iWmo0Md10dUJu3kHolzoxIzIqLe\nc7GU1+qjhiWFJZDUbfFxBWlPbMOCxDGJ9hg9G4uUtOeGNd7KNJclgI2zWo9uZUcJkxoKdMiatrhP\n6zNcpoVlq2u0qRv27bqZfAXMCYpi0lFesH7XOEt4rsplcHxEojurzOb7uDqbr49i6YZR0VWRTSZg\nPtINaZe7pigsd88Nky00+0RWZfthM8ljBAYfGl+wCG1Wn+k0dClPWPyc6u6dHecREbUrGh/O6orj\n7day169Df4qZSQHiBlbn9Lpwb3W5V4Pi27fV3QKVgBVAnpYZKUD8J427hfKszeFQ0kDaJjK7DgMJ\nVdHA+CmuypgrwriVGHsoPdTrqbSvXQF5jkxTGzstL5UohhCfUo/bHLUCiKdRxxzaVJklyOxKMr47\n435JOa+a4VFT2krlk2hM0c38Q00n8J5qSfy4FObVXlHUbPXk44ihzE7bFuOdFTc7yzLwpmWWdBm+\n+oxZPGKTkxqcYH1UFli7CTKzgfzap/ZZC8ZCIO2DhiGZlE+qs2wqKqpNidHGOsZHy48TrRuo5y0P\nNJZp5eOyVaZVBosGH/LbfF42qf2IY0JjpWFcPJ2T8HlRv5aPj5YZnMA0o20WbeWPQ5OEVl2fHejK\nQ/cO1KRh1WTGahwR7jRpWTIj8Z8GTJJe/sYJ/g0uF4oErDRhsrBUYmyFELtKZYBo4FAa43ex5JLt\nUUjbPFDShkxyKcTkvMp5JCO2VSKYYiOyAEwgknWuW+2lS3acmC/EZy5amaQtwroN8uqktEuX+G3j\nL0G8MzFwSOUaaPQRDrA8LZ4D84ksZhqYdDz/Jl/fSkSlb70hJ9g7YyDxuzD2XSD3WwIGG9rescTA\nq4H0Uk1kUjRlkrKr3JGIKF5iGR0arKSHuO0q37Xjsq0KIJGMIqnjSpeYqCAz1HhrqWwNGXrepKxZ\nfLgovz1C60VENPR1LnsAscZSkQAmGG9OpLlRjz1bel9n4xc0u1FpKsor1Vikff5SR7mJLN4vGutE\nffIOCPUvSHw/NJFJxvgdM4T4gbHEe1NpIxFRKmXHsRDP8n0ZLELsueT7n6CcUXM4HA6Hw+FwOByO\nbYY7yqjpyr1a3RMRNYb567e0Ysu3YT+vZCJjoiufHYyWMABLXVYx0Whhc0RWI9dw5ZXTKnNoT8z/\nVlYoLcLKhtrZoz2zsDzIbKiZSKFhX+KrB3lVoH797Zmq1givEClTSGRMDW4iV6t8ZZtW9tsS5Mjr\nnBdat7b3y6bSPlhtkX8qK8f1EdtVWLVWIFO0Pl6QfK0fR77FDaMsUlqGNhHWEpmEqrTZ/EMQ7kAW\nstDMY+VBXvnRPiQyZiIt5odvc9COK60J84ZW2dI/QVsYuCm7hjKKmD+RrHYB8xeJKcOWLUplq+Yd\nYQxkZae0bNdbfIjbrA39qYYGanBDZIYuQ2dlBRCsXNX2v121/lSLfTROUQYZ207HU30qz/whdNUa\n2dW13Vz2yhJs5h3opXsByg7gfaYMBIbLUEYFbe8zww5IVGauMpdnJ/DcnutpLq20xoVBq3G9dxKZ\no1JgGJr9Mm9NAmO93mmhzvmLkc1u629lm9WSn8js4WMYFsp8IFOjbTX2op27sUPu/yhvu69tjPej\nskjI3ikDg2OvJWVqDMH9LYYcaCayJW3RoQqQ1ehWjygwgLHRuQTnvNo0H78ODGVpOV+f3qtcoa06\nsM7CTOI90hjKhwDIWKl8JJTMfKNki76gYoBqdVlmVSYLn39Jl6d8YVPz78Zo4VybZ4Z1bHdjtlAp\nkF1Xxv0WMNPK0GGa1hEZUmX8kOnOrgtjRu8fDXFwa7nudiRiF07A7Kj5QzoBtua6ig8mDGoMgRbv\niShvwmFj3uJJfgAiJ5KKcUK0bkweXWBGIRg2pkLDAUQj/K6hbBYRUXyD2bNwA0zP9u3h46YhPID0\ndToO7IRa3AMDpQxIvApGJCfZHCOAdwK1Tm/ULa0kjFJyk8vUER5Ar4fslbJdS2bjr6YXHdb+0t7h\nILSnmFgE0BdqDlIYt1AFajAS9vKzNF2ztg7EKEb7kIgovckMVQBsk9ZVmSgiouKUTCBgE6/1xrGg\nzGTGhhJRKgxd2AMhpaS/EzEMwUdllj+UXVnVjpASojiLe+yFKlJjmZsW7kmZNFVqEYFipYuxCoY7\nSIDB5MygpNqOIbwLa/6zdp6OC2QDQ30HAxVCWK/n8te+QhYUx5mVuctkeRs4o+ZwOBwOh8PhcDgc\n2wx3lFFT+2gMGt13mb+OF+83qmxQXGRXDtg+q/VHJXjeup07JA6j7R77cl3fy1/2aidNRNTYz1/l\ntSnLY0X0/1VbFKH1cQmoJzLn/hLY5Nc7r0VEVHhRtLAVK1PtOP+dfdy+gZW12xzPr1r3QADX6ad4\nlQFXfJsDErTw0Docx6scQ+fyy7Fbj7G3t9rl43XRkj0e56/5Vq+VfeUI90UIgV4VRdjLt3qEVyiG\nTlhaeJBtftUmfmDMVruWm8wuLh+xVYzCOp/beNRWCEtvcntr2AW8XhDjqi2nrTxiVsVqSx3UrU3K\ni9x2uLqOgdWJiKLHbNl6dZLbNX7FVnuUbeoWcB2h460+Y+25JSv4S/dZh5aPcH4bk7ZSdeu4IyJa\n389tXFoTdnncyr26h4+P4fhs7xLER2+IbLs9YmO2/GpJygRaemkyPFfZ38rSvbMq/XbIAvRCNys7\n0QBGskdYqxaMB7VnLy/mrf1xD6oGpF4HG309tzoN7Jnsr0KmqDbD9+bq/vxvWualY9ZX5XnZNweL\nj3UJ7oysmDIaLeh7ZQiR0UlkCHXsS5XjVg5bHeMyZzhyooudvEy/AdCHsbQ7bKWj1ft4QOJeMg1x\n0X/JKqRMIoYg0OMwfIKGJVCmBgM0a0gF3L+8OSrz9SPGYgcnlVm3c9f2cVn6LuZZoRbYztemuRFu\nfAps/J/L94+2rfbPvs9cyX6b/N0DueP13zg3aeD29V3AootSAJkq3WO5ucOO652Q/Zcw1+qzCPeS\ntYVBbMpvJSA2dB7E9ldWGdlDff5ieBa9ZzBYtgZ4V6aUyAJiI8umIQI6AsFDOJ67HhKoOCgAEyAs\nG+6jSdViHvaeB8KYRFWYy3XVfxr2Yz0gnYJMUVtYEdz7JQxQCsxGcJ88n5Z5sOEerOy8PbaPKNyS\n5/VuCwAcLUrHAtOQyL8jqGMgzBMyf2ptn6zb+4SyV/XXzEZ/+aP7iYio94+YPQkq9qxPVvJBxRO1\nUAcGZuMYs2E1sPiPZ7kd1x+3QNK1C9zu8Vu2v073o7WnjD3S4M7BfrG4h1AEwaTsbQJGjST0wezn\nzJ5/9Pf4ZbgwZmzk5iFmNyuv217CLGwCMECrn36Qz4U96vXTUj5ghRKxvQ+F0TzzD+yd5IF/cEUq\nCGxTl/BFNMXtFI4YG9uW/WC4Hy1e4bEQHbWNuisPcX16z9kDLL3A+SK7GEkbawiGFJnXoxxcO8K9\ndDJOooKVNx0TZvjBPXbdGRkfK+u5cwNg2TTgdQpMXrAl4Q4wIHu3UA23gTNqDofD4XA4HA6Hw7HN\n4B9qDofD4XA4HA6Hw7HNcEelj2p4UFwzmrD/TbHmLNgmzNpF3ohamQJaWmhJtTcnIgraaPrAUHvk\nCgQjD9pM96ZgO7zz+byZRVE21q8c4b9jr9j1h0/x39WlEqQxzb5ywMqp0rqtEaM9D/w+SxSufhYs\nUYXdRzv10RN83OzjYDsrbbYyYdRuZrH+3HkiIoo/eX/2W+kMbyxWCSSRGQbUb4IxxLJsUoU2VJOM\nA181yY+iOWT1Ls9xAQYuwgZKsVY9+BU+9/IXjNouSl3jiuVfl/3P6+38WgFucB97MR/GYFMUjxq6\ngIioKOELIjAHUYv7CAxT1ABF5UDrDZMZ1CaZDt/qs7Tyihg7oE29SH/GXrH6X/4CX7d63Wjx8oKY\niayZ9PHmGI+B2rTVZ/hNvs6Nj9o4GnmFfx98iTduo5kIyRhbPmj0vRpeoAxqa0AMTqatPk25zXrA\n2EZt3fsv5Dfp1q+ZlCSWsAWXfsqud/Rr13Ln3I3Q+xClZSrFCrdAQiXNVlnoMLvmc0Eypuo+NKFR\nUwm1zicymXEBTBDUEKfDsl7MHOo38uYj2vco0dR7vsNMRMrXf9HyUrv7Akg3CgsqgbNzVfJXmc+P\nkc0xO3fwzU479RbI2AoNykHt1FG+OPAGFxpNR3S8boyCzFLaFmV5VTECifKPhkx6V1xFwwmR6sHx\n2rajX7P7dkP2/tdvQv1TlS/a9UrmHJ1B5dODr0NZ4rxlvcr3eiV0y8Xn9me/VbLz4MJyG2L9NYwA\nmn+ozBHNtFReiGNx5QCnlUE+WASb/excKYwagmCZyuIhUQYzFQ23gNdSyX/Q0Zwy7uGRoOFWUlAq\nqeQR207HVhMkkhoi4p5AIrbmYEmv0kc0LYgXFulWqCEEmlqQ2NKjWQNd5E4JwfggPn+FjwMZV/rM\nw0REFJ0CG/2r/JxqPXKI//+aGZyEIi9s99hNHp7i49F8IhKzis0Dln9V3iviyZt2rso20SSiV96P\ndth7RzgvEk0wvOp/WfIVC/wO63wxIgnqoAPXMANwXOU7pzuuQUSU/NBDRERUP2PmKO0RzhcNOYIx\neXm5YFtTslABapxy1N7dAumnZOew1Uvkr7U5q7+2Y1SyNq6eZyOM9qyVqXCQ55QQ2q7vtIyZWRg7\nMlZUxkdkoRRUFvjAf38++03DAxR2QVgoaTM0ggkfe4DTSvZgisTgJQbbfbW7R6OcvuXVjutymeTd\nHsI8BLHIdbWOIIukSW6TdJdJRJNTXI/o0D67hoy7aM3uDy1zDKYnhQO85Se+auXUUAFYTjU0SWv2\nQoBy4neCM2oOh8PhcDgcDofDsc1wRxm12hR/WW+M20qlWvCXV/IbDxcetTQN/jl41pbgKlO82n/k\n122pVr+sZ5+xlRU1nxh5zQLaTX6SVzvGvweWsS2+dn2m1PH/iMYIMBFSD7Rdrn/5RSIi2k3PWJkk\ncHYB9iDqivfQSdtQqPXtu5o3CanM5FfLG08e6siTiGjrE08QEVH0zeNZWumnuCxqbkFkK5Xleav/\n0Cleebj5EXAbEIyesFWR/gt8HTQsSXbzkvONH+Zz+89ZO6lVNTJgi0e57XZ9BSPOioHGih23sYNX\nHbDvCrPcZs39tso0ckI2ogODUZnmsRVAP1b6lQ3kPBojtqqhK+7K6BIRxQM1uZZdd+BiPkru4d/h\ndtwatgJsSV5oLDP6irAa522Da1POQUMDxfQnefMrmhhsiCnN6Ik4d/ze37OCTv/ojtzvoy+xQ8Tk\np2xz9t6vcn03Dtr9Vj/Hq0Fbu+w47e/7vgmrbIN2n93NUMOZBAIld7PnV3YCGS2NfNphtCFdXoAY\nojq+cL6oKKMEjEEWXBrMH7QsLbk1i0Z0ZkxM3eKPZqyDhhzBfDFotLFcyDJ11oHIrP3xenocBnxW\nC2VtH2RM1E4dmcesYpDULah4xhRDuysL1mFxr4fFWB9lZcQEYzBfB7SV1+DiSTczCmQyhbFp1fF6\nndb1nC//jXHDuS58d6mPBusubOTHYreA2x029VFn2fCcDrZY+h3D3WRhTyAPPScGxlPDImT9CYyi\nmpmgYYsybpiX9i0yztlvXUIWdJioaHbYPHH+uHsJmcFFy56NuiKfQPBeNX9Q5oSIKF3TToGwKsJO\nBEcP2fXE9p2AKQrF4ILmje1IXjnDxyNTIf1deFOs22GsqxV86bwFCtb3NLTTV/OH4p+eyNJiZbnQ\nzETqG4HFvQY3Dsr2bpko2zJj8qqgIuZswsoFECycxMykw3yiWMxdN5RgzciYhK9yUOk2MpSXta52\n8yhr1mHXLuxNFgR6yR4aqZQvuGbPdTVqqX3T+iQQNii5DkYwUsfoPutjkhAJyHKRlAlt7BMZR9pe\nnMjjJznFdY3g2R9K+2BgdGVSQwhGnZ4X1rYKzJK0cdRnzGNm0iEmdUREiRiABGMQbuANdh4MLmPw\ndQmBsJvfnTQkABFRqteA9szCCGDAbb0XMIyBGN+EYAiSrvBYQXZXLf0xoLWavMRgPBi0usg+bgNn\n1BwOh8PhcDgcDodjm8E/1BwOh8PhcDgcDodjm+GOSh/RkEJx43NMrePG8WiTNxdWF4xOnBtgKn19\np2mEwjbLF5sDJtkaPMeUbgU2My8flajxG0Y1bvWLfHDY9Bi6AV4NITCe18Ixzrc1YGXS+FeaJwJl\nftNPsV4JN6KrScX1T5u0LJKN4HHF6th/kan0xg5LGzrHZVjbze2p0kaiTvMHhRqsoBxn9QD/RRmf\nGmas3Z+nZKuz1ncqQ00Kx7K0ka9xrJCtfqbDN3ajRJXLvuO4pan0Bg0xtH0KsyY9WP0xia02ahuC\nh99k2hxlmysHOS0Czw2NqVdator3nmPZxPXPDMlvdrzGDErqRsvrNbQNiUw6pWOIiGj/1zjjAhiX\nqLyz94odt3hMx7HVR+uNY1ZjpfVe5+thjJOoUeioCxHR5l6+3tKHbJNszw0+d+kQxMq7v7cjTyKi\n1aM8BtGwpXqd22DpMEg+9nN/D/7rF7K09oMmsbmboZJHlHipfg+NDDKTEJQUqjEEStuk2dAQRGVZ\nGMesJTJENdXAPFAOqFCTiNIqaryCjusT2b2MZc+uD2lBXj1r+aOHigwNjPGo80nTfKByUsIOswi9\nHiwPZmYnUNesTZbt5K3+vBFLZvAD5dR+QSljJuWT4zBeoMrRUXpqphYgn5R2ikEaqwYvaIRCMv0G\nYPDQ7A07y3FLmRU6jlRKieYrGpes21jEttO4aKUO6aOUE87VfkRJtfVdfiyiOQmasRB1Sn5V3ph2\nebNAuXBjON8AKgPuGHdR53XxALxeUZ7dKLkLutw/dy1EnpXC/RqN8Y2XQuwwqknsrmumgw4lxlly\nHgwsRJYVXDLJWKxx2TZt4GVxzIbsJg/rElNwESTwIs1MnmKziMJbZjKlssW0Fya+GYljBhI4kjJF\n/fY+Fwz2S31MUpcZSEAsMJUmYjyrbnHmSI0m5J0RZZGp/lbKv6cSXlclawFIREV62B60OhbmeXJJ\nrlhbhP29HeUlImovsgwvEqORYA1iwc0tSJnsBlCZXQix1TS2V8eQ13nshsn84vV1ui2gPmo8k4AM\nVPs4kjhqaESTtRlIBbU9adWknGpU02FiIzHwYogtp9JQlYpyYfL9oxLKcNS2wWgcvlTqmkAfa5uE\nO+w9KRQZaBvGWPphNswpTtk7VmYYAu2UitkLjo9Qx28L9zhwf6dg6BPW81uMbgdn1BwOh8PhcDgc\nDodjm+GOMmrrwgoVGvmlLtxAnBT5+7F22Yw2ok1matb325JSeZGPW/yoLZ9W53jlQRkwIqL2AH/l\nT33cNhWqPfz0M/at2jPBX8Ur+3gFpv+SrQ60hD2JNvPfthtjttox+DCzDjeespUitUxeOWDnRk3+\nd3Mob0WPLJMaUoT7bSWk+Tp/idfEfn7mCcu/7zlelQhgM7G2dxNYIbqfVzkaJ2yT7vJR/ludyJtl\nJBDaoDXA5VzbY+UcFnvY+nVuw50/batIF3fwStEM2WZRNc5Yf9RWxRo7eNWhZ9JWwHTFG1m+9f1c\nj/t+w8q38aBSdFb2sM3lU+aTiGh8ar3jekHFxlM0JRti+221S5k0ZSCJiFr7Gx3HExFNfIbbcefz\nNpDV8h2ZsvhRXqHZaEC4g//AS/zrO8F6XC6tzKyGXWBw3y4+Zquc2rfLx6w+xSUJNzAG5iy7eTz1\nn7Or6bhEFmL62f6OOhARbY5y327+4rNZ2q5vw8brewDIWChTosYcRJ1MmmKrj9NasBe6OissBtxK\nW2IdXgCb8vqNRM7NG0fguc2BToYMGY7GEP8bzWiKwsCigVBWDgjhoMxLB7Oi7BGwZ8pO4Dyt8wqG\n/TAGhK/XBgfiUPa+o/mFtjGyMlUJAdDB1MiTauko5C9zQ2WhC6MDC8fKvGxK+ILGTrsfShJqBE1k\nlN3E+2FjF6fVgNGrT3M5F4+CykPCLQRwW+i4KIKxjLLyyGgqa5aVBdjI9b1iEnHeyqljoMP8Q/qn\nAMoCHJfZcYmWF8yxDkseYGKiz8mtDtZU65h/joddjEB0bCOTrIY567uBIZXfy4uWfyRtEm5BXmpE\nAqEftD44truFFrhboUwEGoeki/zvANiu+DqzAiEYfcRnLxARUWHP7iwtmWemJuwzZUc4KNcp27Np\n4yE2gqh/66zlK2xIYb8ZPWTmIOvCZiArJ+8G6S4LI0S9oqQ6c8XSlKkqwsSnZg0QRihjMTaMeYqO\nsswnAYZQmZfG4weytMyoROzkkb3LLNQTu/Gy0AdgFrHyKa5H/9dO27kL3BfxTruevlwjy6eMU7oD\n7PaljmoE095v5hvRRQ5LEICteyohGJofezhLK18VdhPGx9YjB7gcz520Mu3dw+WcMct+rVsk72lE\nxkZ1iAD2cZ8FUgesV9LP4y186wrlgGyksF3JPqtjeJEnmbAGE0TS5RtBjUVmzewtmRMDmGMH7MDX\nbxAi2mvjvn2Fx4eO/9uhcPoKXxeYOmWmlb3E62DYjEBMVOIVY/Ii6dvwTQtpkTTzSrzbwRk1h8Ph\ncDgcDofD4dhm8A81h8PhcDgcDofD4dhmuKPSx74JibJetO/D4eeZ2o0HIHp7i6nYuN/o3uIy06d9\nF+3ckeNMe/bcMNqxdpw3zM4+fjhL63lL4jSAjKu0pvFujJbtvyhx3kTKiPG0+ncxVYsSpeocU+Rt\nkA1pjInehz6cpfVeZqr06mdBZiAymMP/1uSdSY3zrcxbHVu9In08be1TWRA5nMQbO/hvZrLfdGNm\n+/JEljQom38xthy9xVR1bco0Mn0X+bjiWj4YTd8VkzJonLnqdaPZNaaKtvHF50x6WZnj9hm4ZLqY\nZh/XcfwPTGaxPi5yMZA8Db/Jdey9ZvIilUFhfLT+FysdvxGZdLUxlHdUGPsWp818GGLLSay68gXb\n1DrU4k2nPTdMjtE4y2Uur5gcYlPy2OqzvHpucH0X77dzk++whKV3MR9nDk1kyvL7yn7Wn9Wq1p5r\nu/K3rdZ7/DlrOzUuqUxa/juOc5kWjto19v4xSy8aY6ZTa9VEfjxtm37LE7wBHOPXRedRknn3QuVj\nIexxVmmfShuJzPAA73mVD1YsrE5myNAYAoMWkfShPGv5kLTzVF4+GIAyoveqSCTFaKK4BuZLEMw+\nbQAAIABJREFUcmuu70LDh/yYL25qOfMxtnBuVGkiSvXUHCICgwvF4gP27/pkp9lJBO1p8dkgjtum\npln+a7vEOGTO0sqi7Bk8Z/d8UwxGOgxLtO0w7pbIaHqvJXItiN0ksdI0dhqRyRJRBluV8EQ4v6zt\nCeV6+ThiaGSh0lCVrxIR9UyKOQQsleq/2yI5XdsHzyYOF0TFDej3Zn4sqs4TY8XhmL41L5R89l3Q\nvsubifRc7TI+VT4JMet0XkdDEjUfKZv3BG3s5Av3mr9FFvsNJbdqgILx1gKpD5ZT4+bhPYiyzrsd\n3aRaGi+KIBYZSZyoeAXiju7ayceDVDBRow2Uuy2wHDAI8/E0UzDHCcf5XUhllkQQ003NJ0Dulkku\nb9oAUAmnSuGIwPQDJGEaWy0C84fMsALiwtE8XxslkhoDrLhmaRrPSg1YknV7/1FJZQTmI1ktwECi\n9/99hc9FUwmRd5an7R0rFvMWjBmmstH0/JVcvoURfjcoXDPJXHuO/x322PtfNMJ9Fh0HGd1a3iSk\n8P+x96ZBllzXeeDJzLdVvap6ta9dXdU7gG7sO7iAEkWCBCXKoixKVlgaSZZHntDICtuaiXDEeGK2\nmHGERhqPYxzeRh6ZpkgNF22kJEIEKUIkiL2xdQO9d1V3V9e+19tfvpwf55w8XyIfCM4Pd3Qj7vlT\nr25m3j1vZp7vu98pC0URhEtUYAVN49G1Ny0um9JgvUFrj8aq07qgGIavtE0YTw/W+ThNxsTfhdjH\ncg3G5dP+bKNgzAV+pw3GQAikKJTLBeuzUO4BnU8oJuLJMb1P8DwP6q5z0KtCmgiBREXg8+/IuxVQ\nNdsd6Lpahzbcg17mh//8coiaM2fOnDlz5syZM2fOnN1kdkMRNZWTR+9YlOGveZQQH3uZvzpRzr8+\n3Ja/dm1QY8/P5nFLK00ykoZI2d4d7LHIvWDIwtZhX+oCX8IZ/tov75NN1TUrrCZCCuWD9pWc3ctI\nHiDL/ZH7iIho2QA1IipK3VELm7/orzxp3puea1zu3j4vlda+wzxkyyLKMfUM57f50ER8rHRavGL3\nWqdc/zDI04o1hltSlg3G5gnu4+6FtDe+2WNehI17uNypp83L01euyXlS96NW350x7tfasI1xUBOJ\n++PgYbjGZfRfsvIV+UEvq1phwzw6W3fzuPhlQKW2+FoUr1FUcUdCDEweMTRyIcPjvXevbT5VpEyF\nNIhM0KZ0xtqjc2byb2yMFfkKwQGjoif1BWtQ5pSERZgBBEEEEoZO8zih7H9tRBBicI7pJv6dA+Z7\nqY1LYmD5LokXB5GRhR/tTeWnaLHes0REtaFxIkqK3eyfh83Yt7Ap2oFIlaINiE5k0g5Jasi1Pjjf\ntNfqAGJ77bRMu4pp4BqiAhwJJE9QaRU2aYKYiIoqVKZtjvSfFnllQKdVWh7zjVEc2MetsvA+ROlQ\nkQ6vlUYpOkmxK/LUAAaCshgQ7YrXC8hWy0L2Ql5Q563D6bUpB8IdWi4idH4o4yiCOzjGrS5FPkF2\nvyedb4y4thDFUTEPu7YhSy2KX9Ql75w5rOPxw7mgaKkiQe0sCPmMSdiBqyi+oSI2MD9FQKMBQhtq\nKE7T7E33e21YvOJwrSKEOMY1AdQVZVNUkoioKctBdsnOVwQZUUYVgsGyFL5AxFkFXbDfY0YFzKN2\nh3AUmXq6D25VCyZ47UVkTdGZhFiFyu7DnGxdZ9ZS0A8S+4rQtGzNUHEDbwNk9wUNSiAxIU9yf9bE\nRMKLc5wmYmrKLCIiCpf4Gdv4kbvitOzTIpIByEYobcsAyqfHw2V7TiuSiOITviB6wZGDVk8RnQjW\n7EaOkTRBNhKohs/P5HDbWE4q8IEIodbJ77P3n/o9LDSROWsTPzPJYxauGqLji7Q9gex9FHJ+yoKq\nP/lgfKy7xGVEKJIiyFsEkv2ezgUMd3CW84t8ECnbSIuoqCx+sG/S6iSS+m2suyJpgkC1FhatrLYI\nkgzYA0/R1US4g3FGwxKCHNLHOLdjBBXk/gNpd2vBkFwddwzVQHfwy134Os9BDxDnYETmFvRdqOEL\n4J4JZOwSEvsSbiC6Zu3W8BV+InwCn+cjktlMz1lE197LHKLmzJkzZ86cOXPmzJkzZzeZuQ81Z86c\nOXPmzJkzZ86cObvJ7IZSH5XyuLfP0oZfZUg9P2gwcqtL6GYgAtEuMnTo1UFM5DmOBVGZGIvT+i8y\nBLo7C9Qyia2GNCDdMN93BuKDKeVFhEty2wZ76ub8zJZ1mYpAYKyi4DsnOf8nH43T6sI4yG5B7KMZ\nhqqP/J6VsfwAw6KJeDtCq2psW3v6NB6RiGkgLaQ6zTS2/F++ZG19jONebZ0AGFfocCgWEVS5DK9D\nLJyhU0Z9qA5zPdsZiDci0G91XOgzdesnjcuGNFMVCqi1rO9KEsdOhSyIiOpDQkPdQxoU/0WRkOy6\njNkxoy34L5t4i5qOmdINVw/avMutcX7Fs0az8A5J/BqgSBQXhYZWAzriMF8bwRzrF3Ga5QEQxclz\n57YDG0+lZJXOWv+sf4DHpf8851sHCmJhlc/buMf6f/A1X+oBc7wm9LeSDej4i1xnFBNROh8wfUl9\nOJPfMjpCfZwpvCUQAEhQA25hU2GCCNlSMhwZYCjE9xrQuDR2VhsYHrEhK0m6HIUrYtocnKc0X6Sn\nxvHJlPaViL/F+WW3YB2SayOg3aqoRt40gGKaGca/UmERpPQpbQ7P85QWBJ0W0wqVMQT9pFQ1rHum\nkhbE6FpR6p+dF1PksD+lvzFmmuaXEDHR8qT8KtwjSunLAttJ69l7zSq6dicPQA+E6NE+TsQH205T\nQ3U99zrEBkKqntZTKaJVWBvbHZ7U2u2J9dpLHiOCsQMqa9AhlmmzJGtjBTbay30RAr3xneIkSEHM\n7mpZOPAyxxo47+W8EOaYlIHx65TqixRRPZ4QGJG+axWR1vs+EhMR8Q0fhBTai0LZ2jYanSeCB/6E\nbYcgiWkWrhulUWNmtftB4KxPxBww7tUVnvARiiUMpenuSovzhG6IAhZKLywsWD3bSnlEYaFJpt41\npyzerff8Kf6L9LVjvL0lIfRQ7aByNCHCIUD98zXmnNLO8JjWGUQtPInpFvXYTR4Oc5958/aekL8u\n8by6rN3tPl58/RII5a3zy0sEseI8ocqpSEbw0py1QfonIbQhZaw+bKJeQ6e4LG8bHlYyLzzoGxUA\nCTdhLggdszlptMXMKalnw272mLYnceaQtqpUwXDZ4rOpwAxBXLrwLVZF8u65w86TuY0USZ0zKMTS\nnOX3/AyIfiglV+mGRESRUB6VjunnIabgGs/P5ofvjNPyGo+wNx1wEseTtrg/kbIYSHzDuK1kYiMo\nTqL0X2/SvlX86yZa917mEDVnzpw5c+bMmTNnzpw5u8nMQ9nV/9z28fv/h4iIqDFkX8ldZ3jzZflO\n28hYfJO9OCjqsDepHk3zcnZdY1eqyvkTmcQ9So2XR/nakRfMi6CiEoNnDCnSfPTawrIdCyXf1but\n7iOvs6dCEUAiou6TvIFz54MH4rTes9uJMomIiithqgwtFzfsq4jE1iFACMUb2v+WeKhOnY+P0Ykj\nRETkz5nrt/zBI6l8FfnRPiQi2hN0KSH3LNazYJ6Vyhh7PkpffzNO86bYo7Lx4EiijkREmUo70RYi\nE6nodF5hyTwW1X0SRuAyIGUiqdsaMc8ejreaXuODBO/2fVzP7iX2diw+ap4yldnGeRJl0+IFrRKP\nRWbbPCY67/yKua11nm8eAzT0SivVHr12+4h5fgobKDxD1AKUcXcf12noNEgby9iqhD4R0fpjE3LM\n8tFQEZu3m/do8I2dRLuILERBa9K8m7EUP26cFRndp3Z//5beuf/AL/9uRJSUGo+99CjFL2INIaBn\nehxRnEDQgyaIJeT2VJ7fxlIFIVQsgyiJ/KvpfaJl4X3TyncQlRBkCRGtbFkEmUqAvMkUQvRK0ZgA\nEBiVP0eUTRE1zC+eh1sKqUEeiqiBd75RTEvsK4ugsAF9kk23O0aZoI2KvCkSQ0SUeYeMPbZBkZqE\nMIXc8gkxF1kbPJgf2t+IuMbhDgA9CnOe1M3Oi/NDEZUg2QYUOOleUYGrNCql449paMoeSQpyeFI3\nOy/Ou8MrAQqGvLON2HcqHoPonZaLeWhfdAqHgfNfEUdECHU9w/boPEsgzXL8+1/+rVt6bSIieqL3\nl2ThsQYqiqDy7mgoMR+fD8IMkeTjA1KjQiSItqj8eRwKgEwQo71jzzBFV2KBE0BHYgQCBTkyglSB\nhHknU5QLEYtwaytRJhGRL+IYKPeP7Y3TtN2C1CSELuRYiO3S8qHuvghStK5eS53nT9t7rCJ+KHuv\n4hMomNIW4Q4V6VAhDyKiEERH4vIF2fJHDFELBV2NILSB3ytoaRNCFkha1CHfxJgJCofjk5nitrVF\nbAWFWDwJC5UQu5H56eH7gowJzrt4vnUSbAHREx0fDEWg46khC4hMlEYFUxJopCBwIdRTBUkQBVZB\nGb+AsUKEwTZk70Sx6AqillIeCvBoWIJOdf9m+KX3XJ8coubMmTNnzpw5c+bMmTNnN5m5DzVnzpw5\nc+bMmTNnzpw5u8nshoqJKI2t3mffhzsz+4nI4pQREeV2RuidphvAG71W5d5uhnExdpQKLQy9afDx\n0kNM8xr7tkGR5X0MX/ZcN1i20cdweFYoeLsHDDJVSkdlyugWtWt8rdLoiIiiEc631m91qn6AKY8a\nmwrtyidtM6/G2cG4W6MvS11mLa3nmvSFUOsqn70vPlY6L3TQfoOMV+/iPuu/YOVXhyWm0K5Bu+Vx\nhpsr42nui8aYIyJae0DzsQ2ZAy8uJvLVmDxERLltzje/aWOn9JXrH7HzJr8jG6HLBiOv3Md0gMJ+\ng5tLlxg+Ryrl+nGJDwbhXrwW9233xTQFYvWe7lSaxstS0QwiokaJ88Xx1PMyVaPBKqWxZ94201bu\n4DgzxSWr59JD3BfdndoDtKbd/Vzu6LNMC1B6JBFRq8D1y+7ARl+hXGJMvfyOxEKbNIpISyiP3Ssg\nYvOYxMUBKtHYdW5bedr6qXE7x8gZegWooZPpe/VWNKX+KcWOyGhUPtCplCqGdDOlqiVikXWIt9Yq\n+PIXmA6xHgeUK7dXG1i3NaEDavyrbohTpfNRqbtERqlrp5m7cVwvzidN5VSKGoo1mHAGUIDktkKa\nodIBNT+k4sXzG5qvscOQKhjT2CCpOirnVTHGVpSoB5HRFZHu25bftQGuTN0YQxbbDOqk/Yjj2axr\nG4BeKmOMcb+U1ok02DgGGugdqMCUn6CXyjFdX+D8mo4xxGKLBWaAtqp1KS6maaPJmHryNwdp+hv6\nQkVH6kNAA11LCnx0oiqGGCswk5y7eG3T9tZTblf7KS22g+Ik1m6YCw2dxyBsU37/iIkgpU1NqXI0\nChS4Mxf57469/8S0xA40Qy9rsdVIBC6CIUhToYXQnt3RJNPMolV71pFSBE8c5b9XbYEKlBZ3AGiB\nZ+b4bxNVYrie3sSonSdiVe01o6plxvg4xs5S0Y9w05SSVOiBRmzLSTS/wH+Fyol0P90GhBQ4pV4i\nHZKENqe0UCIif5DLiFZs6wGJcEkiP2lju2x8aaWGKn0uODxr7dK0IWhDnReX9hKInqn4BtL8piX2\n3mtvxWmBHE9QPoWaqII1mI9XgLhoSnks8IMB6YOksecieMf1ZGzrlhZTGYdBMEZomD7EYOtEzaQs\n1zlqWT213ToniYgCqYNSSgnphnIPKI2TG6IqTraQBuOcX1iyl/HM1TXJwx4uSk3FmGmexNdrQxv8\nXs4vgYx1EJd6N3OImjNnzpw5c+bMmTNnzpzdZHZDETUVrihkf/D3YbDFHoYMOGzCHH+RquAEEVH3\nRf6iL6ybB6jrIn/1otCESpJHIPE68Sx7qHLr5pUpiBMIER212n4uo7hiLmoVAtH6EhGF59ijNZw9\nHqepSEMAQhMqUjH9dHojMFqwzXUZeQ2QxLPbiXOyO+YJyFznPmldW4jTpr/JfRECKuO3+DeKTwwR\ne+b6rqSnBYpfdK8wUpXbsfa0V7jfB86xt6u2Bv20wR6IPPS1J6EFujZAQEP606vYeWMvpr2Amk9m\n1eo03CVeNvDuqihJBJ6Svu+xtnzhdo4RgUIwGu6g8OZVK0sQ0u6SwQttmb/oSY7nEcyxWOwFrJ3h\nvstWDKbR9nRdhY27FZEAls23GRBEGai8+wbsRLgFOc9rWd1RqMXK5/bg/NA+w7mmqJ5KMBMR+SAz\nfCtbLM+Pcumy1CSEDGTYOiFAiB5pfoieqfhG1wYgX1IGInQqkpGQwpfhVxQJBTnyHVAhXScTCKFc\noiga5hPU0/VMmCShwEfcP9BnwUYSUQpheqhQCwo+aLiMEOrZtaqqI3Ze17IgJijJLnUKAG3pWpO0\nuqXpcQ2L4HeIKIGCILE8/xVrqyJ1KshCZMgjoqeaN6KBPVf5mhYIy2D93mnFRZHnHwbRFw3BAOil\n9q0HEve92zLusIRrexCxj0VkIE3DhKBgil7jo5K0Am+SL6JdnVDoTvNZxwTX0E7nUZSe7ypy0ylk\ngRem094PpggIyqVHFZEmvzhv5+nzB/pLxUZicQkyb39r2VCZWH4dzFcZf0C0otMsXuYX4GYUmXtv\ngV/a2oDoafkehhEQ1CEEZMmXZ3F0bdHqqeMPCBCGGYjLkPJQxj8UxC9ogwCLImnCYFDRCCIiD0SG\n4vIr6eelomcoRa/vWxqmgAjCJ4BpuR6KVGgbZT2Jrti7m6KmiHapSIffB7L/fTy2rbkrcVqQSd8g\n4cZWKi0Q5C+BFCl6BmiUzp9I+iQzO22ZyFxsyXvgu5qgV9E8CLFIPcM1u1YFPhC1CwRx03ACRESh\n1M+7dA3SNB6KQv6wKEj/t64b4qtzBlHrGKGEPowktAEKgnSytsyLCIR/VJ7fB5GfBCL5HuYQNWfO\nnDlz5syZM2fOnDm7ycx9qDlz5syZM2fOnDlz5szZTWY3lPqoogU12/dHoycZbt3Zb1UpXWJIvdFn\nnJrFj6Y5DYe+wPnNf8r4NRPf4w2U6yfs2to4l9G/33Yu62bu/BZEkpcqNHs435E3DApWsYrKlNVj\n9PmiXGcQ9LDA+2d/0WgGPXMqsGFlNYY5n5HnrZ4aP6gJAdLzWwy37n7AIPjtk0zHG3uZKXMYp2tA\n6Gk5oBRc/XCv1B1oO0NMR8hUbOPulSe5noWltALBCBncfO1H+bz+MzZmY6vc74uPcVr3XRCz7hJ3\ntg8N65kXmsHHDf5df47b1X/eKBjLD6d9Cdltbk//BaNNLn6E21YcM1i68Odc50SsthqP7fYBoVk8\nZpSC+gU+/+COzRMVlNmdtnpE0mwUb9j9KFMzJv+mG87jNuLczj7JsPjigtF1+1+3uaK2dTfze2b+\neDB1rDLK+W3dZml9F/jv9jFLa+vm2yGjyww8y21ESp4OS1iw9hTW+B7UWIFEFvuudeehOG30u0ad\nuZVtb0rEdfasD1TooTYM4hvLGjvM0lRgqGsRqLC7Su2yMgqbPEfX7wB6TpdcuwK0OKG3JeNo8bXl\nca2n5VsToYf6kN3fXXIPo1hF1zofX73f2th7SQROgPXUKkostA0rX8UpqiNwH8gyoTHbiIg2T/B5\nwy8LFQpjnAlTCoU2dmb4PBTO2DnBle4/aXQnFbrBuFsxfQ7ic+0clPiQ0J8q4qRiFkjfrA5x+Q0I\nO6VUvq6fBFrYV3hN2JuC9Vr2vg+ctfy2RdiqaGEs4z5Yv9s6Y+i1dFy4pgi17O3nv8MPGz1n9xu8\nvoZZFNUQgatxa2vPNZmfINilohpVmE9aJ5xjI69zv+/us/mp4iQ4ZprmN/lvDu6Z7UNKEbXzlWqL\n95GK53StwgSRnxi/TvsYRWR0ruS2IR6fXFOaswnf7H7/+KE1TpXS7oiMvpWZsOeVxrHyBmFCy29v\nxwbFC7hvov0mPhXlhO51FdZ0FfOA9wmlvLVXQTjjIG8laL/FWz8wdlYwyfVrTtmzzF/l96TAh3cN\nEYGoPnAwTsr/9RucH1DQfBGC07oREbWHJLbbm+esXKHKhYcsHu/WMX7Y9f+n57gt0/viY+Gi3G8e\nUI4lPmwb6JZbj3H7+5+Fe7FP3kVaQLPskfhcb1+0uo/z+1Z4zRaImGYn1MKNJ+0hPvhX0p9AldTY\npRf/kZ13+F8z/TUzY3TEKMN9G95hYnP5OR6zNtA2m7fxNZk9m0feNaZter32zqa0Su+BE0REdP6n\n7dih/+l1KdTWwqBfxVSAtjohQjQgcOLdz9uEgsvWJxoPLzhic2H+Z3gs9v+F0Te90/zio/cHEVFG\naKBx3DWgjTY+wGVl/8ZiAAdyT7WgTyKhDjc+fCJOK7zKfYwUSa1fCPRjpVom5qzE7aveN2P5PdNB\nMOVd7P2zkjlz5syZM2fOnDlz5szZ+8RuKKKmSFp92LwO6vnbOmHekb4rgkSA7P6jx8/yeQ37cr7y\nyCwREXXN2Bfz6h57VrrvMqTm52bZK/P53cfjtPxh3ixZaYJ0+XV2K8/eyV/2a3vmbSkfZE/dLz38\nbJz2hS3OrwHtye0dICKihx86G6ednrudiIie+OTLcdrzy1z3VTIPWXZLpFtnbHd6a57b+78+8Mdx\n2v9e+jjX/SqLf3iw+ToWx7j7QJy2d1R1tM0D9OghFtV48/jtcdoj973Ndbto16ot9phH5+GHzhAR\n0YXXDNJpTLLXrjHFZf3DI9ZPzw4fJiKit9fMY9M8zPX8r+C8L+YfJCKi3eq4tWdYXLktkEOP0VDz\n2v3YfewhWa8bNHBmnOuU3bNrdw/zWGVHGZI4+8gfxMf+4X4u/9mLD8RpGhaiNm5jPHmEPS+rL1l7\n+u/ijbC7cwYX6/TBufipfaeJiOgLe1ZGvZ/bMftjc1bPRfa8rR/n9iTk3gWFbG1bWzd6OI8Ixviz\nj7xI77SvZu4hIqLeokEY1WX1QKG0NS8Nyw/YhnH1fm/cY16z0e+mirglLZTpXbfbkfKbKomOcuH8\ntzwN4SfkPJRJ3z7EJ3at2HnZXZ5DlSPWf9NT7OGsfcHmvIo0dF2xOVcrCZL2IzzPcl807/SeOFHH\nn7Oylh7lTLJ7tob2XJdN64Cwdr3EDa+Cz64ljtKEPL2gPdvHDbEIdoNUu4v7RKTgNN97KJyikv0Y\nMqBZ4uOZis29mWluY/Mp65Pb/vEpIiJa+HXzSNbGuIJ7k/YYq+9nb2d+A5gS2WR7hv62eT/PvML5\nBRVEpfjvz0yfjNM+732SiIgqE9aeVi+Pz3rOGpSXWz23Z2O8+EFBj/aZB7U+L4gH6CIUlzm/6pPs\nMV86bWyHYRFYSQiM1FUIxvI4/hvcTyc/d1ecpmgTCrEo0ls5ahdnZP4UlwGhFDbA5r027ge+zHXZ\nPsgDiqhcFHAee0fsoZTdkRAnQ9Z3P/VJRjTe3rExvvw19k6jsIuiu7VRkPiucR90A4KtiG+jF8Sh\nINzILW+K8gBSlZnhB0zYDxQcEXNAz72KrinqRETkdfNkaA7CM+R2vmd6pixt+yCP3cT3bL3Z3s/H\nq0OGxo2c5Lm98Jv8XNv3TZjYG3zs6seNATPxfW5H1xsgna5iFbA++Ac5fFN90uqee+5taQQgxL1c\np/onDT3KiGBX8J1X47T6I49yviKc0h4AQY4tiIukdRI0CEUgtg4Lar5g9+f5X+Z+8qpW+b7z/Huy\nYu+R2o5c1Z6/bRH4UKGY3Rm7xwcFoVKEiYgofJTDIuVPGLJUvltQQ9BDUWGdrkv2/qGib+0TxorJ\nXWQkceUT9t43dIqRyQAEYzZ+6RFug4QKOfJvTfRk4e/xe8XkfzxlFVDUtm7Pmwu/xf159DdtPrVV\nYAVCC6jtHbf3qcphzmfpA8ZGGuPXKWodtLm48BHOZ+bfyzs4CJ7lXuR27X763jit703uk6DH5v25\n/5HHKbho1x56XcReHr3bKrjB87fxcZt3+o7Q9YyhhhpCA8XuVIDnhzGHqDlz5syZM2fOnDlz5szZ\nTWbuQ82ZM2fOnDlz5syZM2fObjLzok4xc/4z2Yd+8rcjos6bfJHSMfIacx+2DhsUvfo4Uy+K52xj\nYveixsUBEYQNxns3jxpkuSN0nUNfMCrRpZ/m4wOnrFzddK6xXTDfjdsYxm4cN15G10mGSlFUYvTr\nvPlz48dsE6Ta5m0Ge5ZE/KE6Ymm68R/jyBSXuM4LTxj1o/91rrsKHwy+YbFANNZV5i2j9yx/limK\nSJHcYTYiTXzf+mTjGMP3MVUSTMskIirv43L3P2VwfO4600/P/6pslu2y+ma3uI9HXrM07U+k7ahN\nPGd9fP1D3McF2HTec50bkqla3RceZ4g+B2FCeq/xcYy915K5t3WEy1dKKxGRV+djB79qaZUxEdAA\n8Y29fTI/QN9m6HQ6OJMK0NQHQcykzNcWr6VjFe3M2lzMvyPcSQCiA5sn+PfMn1s9d2a4nto3XD6P\nWQsYBVpueZ+1RwV9yqNG2xg+yXNKBYCIiAbO8mBhnLlI4sw99cb/nA5CcwvZg7/0uxGRCV4Q2dxE\nypjG4sL4T0r9ilA4ZF0EHOD+VgplgqrcrUHYLE2FLXKw11gFLkKJt6b1IDJKYaMfYgiu6fmWh5aP\nczmmBXal1yE0PQ/LVYrm7gEQPZE1WdemMAd02mp6vW70iJgJsI6UsoMxsZpC38O+C+Wa7G66Tkif\ny9Q4sTbAZVXH0lNV47QREbWKQnkF2ubujIhVXLS1pCZCJKE9kuJngWenxcIdVRDTUBox0rx0Dui1\nm8ZKp4IIu/Rcs4ybMmZhPt2eEFlcUbJMIhh3mAtK68xvgSiOCHYgvVXnvorIBDBfdBxxDmn/4HrZ\n7JE1FNb/OM4e9J3WHctXIR2c2/rMVIoukYn3vPAH/+SWXpuIiJ7o/aWIiKgNlLlA4mhFzfSzB6l6\nJKISbYihFYt9DBnXW+OXoWBJVODB81C4Q+NEwbujF4h4UUlitm4Y9VHFGqImPGuFUte4IBZ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fn2zIuMdBPmybzs5ajZeHYv5RPHiIhW7+Frh14x937xKl9TGzOX+/aWhH4ANLLnugSmrNn80ADw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\n/BCP+8cmzsTH/mSOaRs7p4wCUJ6QeD+jRp/QmH7Pn7T