<?xml version="1.0" encoding="utf-8"?>
<feed xmlns="http://www.w3.org/2005/Atom"><title>Christophe Somewhat Techy Website</title><link href="https://tofeire.codeberg.page/" rel="alternate"/><link href="https://tofeire.codeberg.page/feeds/all.atom.xml" rel="self"/><id>https://tofeire.codeberg.page/</id><updated>2025-12-15T22:00:00+00:00</updated><subtitle>Somewhat Techy Website</subtitle><entry><title>My life new project - First iteration</title><link href="https://tofeire.codeberg.page/articles/my-life-new-project-first-iteration.html" rel="alternate"/><published>2025-12-15T22:00:00+00:00</published><updated>2025-12-15T22:00:00+00:00</updated><author><name>Christophe</name></author><id>tag:tofeire.codeberg.page,2025-12-15:/articles/my-life-new-project-first-iteration.html</id><summary type="html">&lt;p&gt;New project create a page summarizing my life.&lt;/p&gt;</summary><content type="html">&lt;h1&gt;Inspiration to create a life calendar&lt;/h1&gt;
&lt;p&gt;Drawing inspiration from the following &lt;a href="https://busterbenson.com/life-in-weeks"&gt;Buster Benson life in weeks&lt;/a&gt; which in turn inspired this &lt;a href="https://days.sonnet.io/"&gt;page&lt;/a&gt; and this &lt;a href="https://www.weeksofyour.life/"&gt;one&lt;/a&gt; and also from this &lt;a href="https://waitbutwhy.com/2014/05/life-weeks.html"&gt;Wait but Why article&lt;/a&gt;; I am trying to create my own version of it.&lt;/p&gt;
&lt;p&gt;In particular I like this &lt;a href="https://weeks.ginatrapani.org/"&gt;version from Gina Trapani&lt;/a&gt;, and the existing github &lt;a href="https://github.com/ginatrapani/life-in-weeks"&gt;repo&lt;/a&gt;&lt;/p&gt;
&lt;h1&gt;First iteration&lt;/h1&gt;
&lt;p&gt;Hard coded with colored decade, each square is a week.&lt;/p&gt;
&lt;style&gt;
    .calendar {
      margin: 50px 0;
      position: relative; }
      .calendar:before {
        content: 'Week of the year -&gt;';
        position: relative;
        right: 15px; }
      .calendar:after {
        content: '&lt;- Age';
        position: absolute;
        top: 40px;
        left: -50px;
        -webkit-transform: rotate(270deg);
        transform: rotate(270deg); }

    .case {
      width: calc( 100% / 52 );
      height: calc( 100% / 52 );
      display: inline-block;
      border: 1.5px solid rgba(0, 0, 0, 0.31);
      vertical-align: baseline;
      border-radius: 25%;
      float: left;
      background: white;
      margin: 2.5px; }
      .case.checked0 {
        background: #2196f4; }
      .case.checked1 {
        background: #21f492; }
      .case.checked2 {
        background: #64f421; }
      .case.checked3 {
        background: #f4e621; }
      .case.checked4 {
        background: #f4b121; }
      .case.checked5 {
        background: #f46421; }
      .case.checked6 {
        background: #f42821; }
      .case.checked7 {
        background: #c321f4; }
        .case.checked8 {
        background: #f421d1; }
      .case.checked9 {
        background: #f42183; }
      .case.checked100 {
        background: #2196f4; }

    /*@include grandient-grid(4680);*/
    .date {
      margin: 15px 0;
      padding: 15px 0 35px 0;
      border-top: 1px solid lightgrey;
      border-bottom: 1px solid lightgrey; }
      .date input {
        min-width: 100px; }
&lt;/style&gt;

&lt;div class="container"&gt;
  &lt;div class="calendar"&gt;
    &lt;div class="row"&gt;
   &lt;/div&gt;
  &lt;/div&gt;
 &lt;/div&gt;

&lt;!-- should not be using moment --&gt;

&lt;script&gt;
    var $ = {
        id: function (id) {
            return document.getElementById(id);
        },
        el: function (el) {
            return document.querySelector(el);
        },
        class: function (el) {
            return document.getElementsByClassName(elClass);
        },
        tag: function (el) {
            return document.getElementsByTagName(tag);
        },
        all: function (el) {
            return document.querySelectorAll(el);
        },
    };

    var calendar = {};
    calendar.$ = {};
    calendar.$.container =  $.el('.calendar .row');
    calendar.get_container_width = function() {
      var width = parseInt(window.getComputedStyle(calendar.$.container).getPropertyValue('width').match(/\d+/));
      return width;
    };


    calendar.set_grid = function () {
       // hard coded
      var birth_date = new Date(1976,3,20,16,30,0,0);
      var today = new Date();

      var weeks= 0;

      var diffTime = today - birth_date;
      var weeksbetween = Math.round((today - birth_date) / (7 * 24 * 60 * 60 * 1000));
      return weeksbetween;
    };

    calendar.create_grid = function (limit) {
      calendar.$.container.innerHTML = null;
    var grid= document.createDocumentFragment();

      for (var i = 0; i &lt; (52*120); i++){
       var week = document.createElement('div');
    //    var opacity = (-1 / i) *-200;
        week.className = "case";
        if (i &lt;= limit){
          if (i &lt;= (52*10)) {
            week.className += " checked0";  
          } else if (i &lt;= (52*20)) {
            week.className += " checked1";
          } else if (i &lt;= (52*30)) {
            week.className += " checked2";
          } else if (i &lt;= (52*40)) {
            week.className += " checked3";
          } else if (i &lt;= (52*50)) {
            week.className += " checked4";
          } else if (i &lt;= (52*60)) {
            week.className += " checked5";
          } else if (i &lt;= (52*70)) {
            week.className += " checked6";
          } else if (i &lt;= (52*80)) {
            week.className += " checked7";
          } else if (i &lt;= (52*90)) {
            week.className += " checked8";
          } else if (i &lt;= (52*100)) {
            week.className += " checked9";
          } else {
            week.className += " checked100";
          }
        //  week.style.background= 'rgba(255,0,0,'+ opacity +')';
        }
        week.id = i+1;
        week.style.height = calendar.get_container_width()/52  + "px";
        grid.appendChild(week);
      }
      calendar.$.container.appendChild(grid);
      calendar.$.grid = $.all('.case');
    };

    calendar.resize_grid= function(){
      [].forEach.call(calendar.$.grid, function (elem, index) {
        elem.style.height = calendar.get_container_width()/52   + "px";
      });
    };

    //document.body.onresize = calendar.resize_grid;
    window.onload = function() {
      calendar.create_grid(calendar.set_grid());
    };

    &lt;/script&gt;
&lt;p&gt;""&lt;/p&gt;
&lt;hr&gt;</content><category term="html"/><category term="html"/><category term="python"/></entry><entry><title>How I work (2025)</title><link href="https://tofeire.codeberg.page/articles/how_i_work_2025.html" rel="alternate"/><published>2025-12-05T01:20:00+00:00</published><updated>2025-12-05T01:20:00+00:00</updated><author><name>Christophe</name></author><id>tag:tofeire.codeberg.page,2025-12-05:/articles/how_i_work_2025.html</id><summary type="html">&lt;p&gt;How I work in December 2025&lt;/p&gt;</summary><content type="html">&lt;p&gt;&lt;em&gt;Location:&lt;/em&gt; Dublin, Ireland&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Current Gig:&lt;/em&gt; Physical Digital Implementation Engineer at Synopsys.&lt;/p&gt;
&lt;p&gt;&lt;em&gt;One word that best describes how you work:&lt;/em&gt; juggling&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Current mobile device:&lt;/em&gt; Pixel 9 &lt;/p&gt;
&lt;p&gt;&lt;em&gt;Current personal computer:&lt;/em&gt; MacBook Air&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Work Computer:&lt;/em&gt; Windows 11 laptop, No machine to unix workstation (vpn) and Grid engine to submit various tools jobs. &lt;/p&gt;
&lt;p&gt;Updating from previous article &lt;a href="how_i_work_2019.html"&gt;2019&lt;/a&gt;.
Same job different company, different vibe. &lt;/p&gt;
&lt;p&gt;I have now 2 type of working day:
- Working from home
- Office&lt;/p&gt;
&lt;h2&gt;On a Typical Work Day in the office&lt;/h2&gt;
&lt;p&gt;The big change from 2019, is the commute which is now a lot longer.&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Wake up at 6:00AM:&lt;/li&gt;
&lt;li&gt;get myself dressed.&lt;/li&gt;
&lt;li&gt;prepare lunch box for the kid.&lt;/li&gt;
&lt;li&gt;Take the bus 11 to city centre then 40D about 1 hour commute, up to 1h30 if bus do not link properly.&lt;ul&gt;
&lt;li&gt;During the trip, I would be either listening to podcast/music or reading a book&lt;/li&gt;
&lt;li&gt;Also check Work Email/Teams message and start replying/sorting.&lt;/li&gt;
&lt;li&gt;List/review tasks and priorities for the day on my work notebook.&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li&gt;Once I arrive in the office:&lt;ul&gt;
&lt;li&gt;Start on first task of the day and move on. Usually start with analysing results from overnight runs / review logs and reports.&lt;/li&gt;
&lt;li&gt;Loop over&lt;/li&gt;
&lt;li&gt;Multiple breaks (lunch/coffee) so i don't spend all day sit at my desk, I actually need to stand up and move every so often.&lt;/li&gt;
&lt;li&gt;10 minutes before end of the day:&lt;/li&gt;
&lt;li&gt;Review tasks status, write next day task in notebook.&lt;/li&gt;
&lt;li&gt;Email progress and issues found.&lt;/li&gt;
&lt;li&gt;List additional tasks for following day.&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li&gt;On the way home, I may take the luas and pick up the kid from school. I also tend to leave early in the afternoon, in order to be at home for the first evening meeting.&lt;/li&gt;
&lt;li&gt;Prepare dinner, family time, dinner all together.&lt;/li&gt;
&lt;li&gt;3 days a week I have late meeting.&lt;/li&gt;
&lt;li&gt;19:00 to 20:00 kid bedtime routine (brushing teeth, wash face, story time, quiet time).&lt;/li&gt;
&lt;li&gt;Reading after that for me.&lt;/li&gt;
&lt;/ul&gt;
&lt;h2&gt;Appps, software, or tools I use&lt;/h2&gt;
&lt;ul&gt;
&lt;li&gt;Notebook - draft paper.&lt;/li&gt;
&lt;li&gt;Apps/Software: &lt;ul&gt;
&lt;li&gt;Google Keep for quick capture on my phone. &lt;/li&gt;
&lt;li&gt;vi/gvim still for me the best editor. NotePad++ on Windows, and been slowly converted to VScodium on Mac.&lt;/li&gt;
&lt;li&gt;Python whenever I can.&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;h2&gt;My workspace setup&lt;/h2&gt;
&lt;p&gt;In the office i have triple screen, with one always on the linux workstation connection, and the other alternating between Explorer (online documentation),outloo/Teams(email) and Onenote. Beside this I have my earphone, and a notebook open.
Reduced to single external screen at home ( dual with the laptop one ).&lt;/p&gt;
&lt;h2&gt;My best time-saving shortcut&lt;/h2&gt;
&lt;p&gt;Reduce and Prioritize and focus on only one single task at a time for 10 minutes. Basically blocked focused session.&lt;/p&gt;
&lt;p&gt;Be intentional with my time and the time of others.&lt;/p&gt;
&lt;p&gt;Took me a long time to get it, and I still fall behind sometimes.&lt;/p&gt;
&lt;p&gt;Besides my phone and computer, I could not live without a notebook and pen.&lt;/p&gt;
&lt;h2&gt;On good meetings&lt;/h2&gt;
&lt;p&gt;Good meetings are late those days, I am missing a clear outcome announced ahead of the meeting, however meetings do  tend to last too long.&lt;/p&gt;
&lt;h2&gt;Listening habits while at work&lt;/h2&gt;
&lt;p&gt;Depending on the tasks:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;mostly podcasts (Freakonomics, Planet Money, Rationally Speaking, ....) &lt;/li&gt;
&lt;li&gt;if needing more concentration:&lt;ul&gt;
&lt;li&gt;Online Radio: BBC 6 recommends  especially Mary Ann Hobbes.&lt;/li&gt;
&lt;li&gt;Jazz Playlist.&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;h2&gt;My Key Strength&lt;/h2&gt;
&lt;p&gt;Most other engineer are (much) better than me on very specific tasks/areas, but I have a broad array of knowledge in IC design, more fox than hedgehog.&lt;/p&gt;
&lt;h2&gt;Relaxing and recharging&lt;/h2&gt;
&lt;p&gt;Getting better at this through the years, I only need a simple walk in nature.
What’s your sleep routine like? Are you a night owl or early-riser?
Go to bed around 9PM-10PM and read a book. I am more of an early-riser, I feel much better when I can wake up and start the day early. I usually slump in the afternoon.&lt;/p&gt;
&lt;h2&gt;Best advice I have ever received&lt;/h2&gt;
&lt;p&gt;One received recently: 
Do not hesitate to voice your unhappiness about stuff at work, don't wait until you reach meltdown to ask for help or voice your concern and issues.&lt;/p&gt;</content><category term="work"/><category term="system"/><category term="work"/></entry><entry><title>Analog Layout</title><link href="https://tofeire.codeberg.page/articles/analog-layout.html" rel="alternate"/><published>2024-11-14T16:00:00+00:00</published><updated>2024-11-14T16:00:00+00:00</updated><author><name>Christophe</name></author><id>tag:tofeire.codeberg.page,2024-11-14:/articles/analog-layout.html</id><summary type="html">&lt;p&gt;Thoughts on Analog physical design in the IC industry.&lt;/p&gt;</summary><content type="html">&lt;h1&gt;Analog Layout&lt;/h1&gt;
&lt;h2&gt;As a profession&lt;/h2&gt;
&lt;p&gt;I have started my career in the semi-conductor industry as an analog physical designer. I wrote about &lt;a href="https://kindredspiritus.blogspot.com/2012/08/work-what-feck-do-i-do.html"&gt;it on my personal blog&lt;/a&gt; back in 2012 when I thought about leaving both the profession and Ireland.
Although Analog layout is no longer direct part of my work, as I moved to digital physical implementation, I am still keeping an interest on the subject. &lt;/p&gt;
&lt;h2&gt;Analog Layout and AI&lt;/h2&gt;
&lt;p&gt;This video talking about the potential of the much talked AI/LLM use in analog layout.&lt;/p&gt;
&lt;iframe width="560" height="315" src="https://www.youtube.com/embed/lNypq1XuZRo?si=aE5SJ8xeQQ_5_VnH" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen&gt;&lt;/iframe&gt;
&lt;h2&gt;Automation&lt;/h2&gt;
&lt;p&gt;From the very beginning, I started my career, I thought for sure this analog layout can be automated, and yet it is resisting it.
Sure the digital part of IC layout is automated, yet human engineer still have to direct, correct and repair the automation.&lt;/p&gt;</content><category term="ICDesign"/><category term="AI"/><category term="ICDesign"/></entry><entry><title>Random thoughts on AI - July 2024</title><link href="https://tofeire.codeberg.page/articles/random-thoughts-on-ai-july-2024.html" rel="alternate"/><published>2024-07-08T20:00:00+01:00</published><updated>2024-07-08T20:00:00+01:00</updated><author><name>Christophe</name></author><id>tag:tofeire.codeberg.page,2024-07-08:/articles/random-thoughts-on-ai-july-2024.html</id><summary type="html">&lt;p&gt;My thoughts on AI in July 2024&lt;/p&gt;</summary><content type="html">&lt;p&gt;So everyone is talking about AI, either panicking or fantazing about the rise of AI, once again the future is both arriving fast and very slowly at the same time. Here is a capture of my current thought on the subject of AI, actually more questions than answers.
Personally I think this is another bubble like the crypto one, but with a bit more substance. However there is some inherent limitations.&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;
&lt;p&gt;Energy
    Training AI, especially with Nvidia GPU is power intensive. There is a rush to equipe data center with the latest GPU, which consumption keeps climbing (400W !!! ). 
    The powering of all the promised AI will be limited by the amount of electricity we decide to contribute to it.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Training Data
    Soon we will run out of material to train AI, and even without the legal limitations of fair use.
    I do not think, we can train AI on data generated by AI, we will end up with the same problem we have with photocopier.
    On top of this, the current training data, is generated by human worker (not paid very well to say the least) which are used to label picture and videos. There is also the problem that the trained data might be stained by cultural bias (ie who is doing the training).
    Also can Ai expand beyond the training data, for example if we were to train an AI only with data generated before 1850, would AI be able to answer question about general relativity or quantum phenomenon.
    Actually can AI expand and imagine something "new" ? How will it react when faced with something never seen before ?&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Diminishing Returns
    Even if we set aside the energy and data issues, it looks like we are going to hit the eternal law of diminishing returns. Idealist thinks we are about to reach an exponential return as we fed more data (which will be limited), a more realistic approach would suggest a linear relationship between amount of training and "intelligence" produced; but I think each percentage increment of "returned intelligence" will require always exponentiallly increasing amount of training data.&lt;/p&gt;
&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;See &lt;a href="https://arxiv.org/abs/2404.04125"&gt;on arxiv the Paper: No "Zero-Shot" Without Exponential Data&lt;/a&gt; and the Youtube video from &lt;a href="https://youtu.be/dDUC-LqVrPU?si=jp7BmumPIjUYJrWJ"&gt;Computerphile&lt;/a&gt;. &lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;
&lt;p&gt;Most non-engineer believe AI will not be able to replace human in term of emotional interaction, I actually think the opposite. Emotional recognition might be easier to achieve than we think, and human are pretty bad at it ( we are not  telepath ), so AI is likely to surpass humans.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;We also have to recognise, we don't understand some serious things about AI and machine learning:&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;Why is the last LLM so stable ? &lt;/li&gt;
&lt;li&gt;In particular why are they so resilient to overfitting ? In traditional machine learning, overfitting is always an issue, yet here the more parameters, the better the model is.... This is so counter-intuitive.&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Hallucinations looks to be unavoidable.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Verification&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;As we trust more of our systems to AI systems, how will we verify them ? How will we fix them (they are a black box) ? How will we be able to detect hallucinations as they will become more difficult to detect.&lt;/li&gt;
&lt;li&gt;In the end, will we be able to trust the AI system ? Or will we trust them too much ?&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Having say all that, I also think AI could be really helpful and useful on sone problems.&lt;/p&gt;
&lt;ol&gt;
&lt;li&gt;Parsing through scientific paper
    We have (as a human species) generated a vast amount of scientific papers, actually in the last few decades an increasing number. So many that most scientist are not able to read of aware of all of them. AI could help read and parse all those paper, and look for few things, in particular:&lt;/li&gt;
&lt;li&gt;detect fraudulent paper (data manipulation for example, already being used).&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;find common insights and unusual new ideas.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Parsing through legal documents
    Again the amount of legal paper, makes the use of AI ideal, to detect logical incoherence.&lt;/p&gt;
&lt;/li&gt;
&lt;/ol&gt;
&lt;p&gt;Finally, some have expressed hope that universal revenue might solve the massive loss of jobs caused by AI, but:
   - AI ( and robots ) seems to be a promise for people owning assets (ie rich people) to rely less and less on human workers, and not for human worker to be free (well free of having a job).
   - Who will pay the universal revenue ? Who are we going to tax to finance it, whith more and more tax reduction and tax evasion from the companies and richest people.
   - I can see that the price of labour will go down, as human worker will now compete with automated systems.&lt;/p&gt;</content><category term="AI"/><category term="AI"/></entry><entry><title>A Yard Sale model.</title><link href="https://tofeire.codeberg.page/articles/getting_rich.html" rel="alternate"/><published>2023-08-16T00:00:00+01:00</published><updated>2023-08-16T00:00:00+01:00</updated><author><name>Christophe</name></author><id>tag:tofeire.codeberg.page,2023-08-16:/articles/getting_rich.html</id><summary type="html">&lt;p&gt;This could explain why some people seems to accumulate all the richess.&lt;/p&gt;</summary><content type="html">&lt;p&gt;Using jupyter notebook, to figure out unfairness in the world.&lt;/p&gt;
&lt;div class="cell border-box-sizing text_cell rendered" id="cell-id=9da76cd1"&gt;&lt;div class="prompt input_prompt"&gt;
&lt;/div&gt;&lt;div class="inner_cell"&gt;
&lt;div class="text_cell_render border-box-sizing rendered_html"&gt;
&lt;h1 id="A-Yard-Sale-Model"&gt;A Yard Sale Model&lt;a class="anchor-link" href="#A-Yard-Sale-Model"&gt;¶&lt;/a&gt;&lt;/h1&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing text_cell rendered" id="cell-id=bca9dffd"&gt;&lt;div class="prompt input_prompt"&gt;
&lt;/div&gt;&lt;div class="inner_cell"&gt;
&lt;div class="text_cell_render border-box-sizing rendered_html"&gt;
&lt;p&gt;An interesting phenoma, that even playing a "fair" game, one player ( could be any ) alsways end up with all the money. I am trying to simulate this, with python. This is very inspired by this article from the Pudding: &lt;a href="https://pudding.cool/2022/12/yard-sale/"&gt;https://pudding.cool/2022/12/yard-sale/&lt;/a&gt;&lt;/p&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing text_cell rendered" id="cell-id=4b4b9bcd"&gt;&lt;div class="prompt input_prompt"&gt;
&lt;/div&gt;&lt;div class="inner_cell"&gt;
&lt;div class="text_cell_render border-box-sizing rendered_html"&gt;
&lt;p&gt;First creating an individual&lt;/p&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered" id="cell-id=982ad5e8"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [1]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="nn"&gt;random&lt;/span&gt;


&lt;span class="k"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;Person&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
  &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;name&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;wealth&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;name&lt;/span&gt;
    &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;wealth&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;wealth&lt;/span&gt;
    &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;win&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;
    &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;gamesplayed&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;
    &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ratio&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;
    &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;max_bet_ratio&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mf"&gt;0.25&lt;/span&gt;
    &lt;span class="c1"&gt;#Maximum bet limited to 25% of the wealth&lt;/span&gt;
    &lt;span class="c1"&gt;#Rounded to&lt;/span&gt;
    &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;max_bet&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nb"&gt;round&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;max_bet_ratio&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;wealth&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
  &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="fm"&gt;__str__&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ratio&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;gamesplayed&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;win&lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;gamesplayed&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="sa"&gt;f&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="se"&gt;\t&lt;/span&gt;&lt;span class="s2"&gt;(Wealth:&lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;wealth&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;)&lt;/span&gt;&lt;span class="se"&gt;\t&lt;/span&gt;&lt;span class="s2"&gt;Win Ratio:&lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ratio&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="se"&gt;\t&lt;/span&gt;&lt;span class="s2"&gt;Games Played:&lt;/span&gt;&lt;span class="si"&gt;{&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;gamesplayed&lt;/span&gt;&lt;span class="si"&gt;}&lt;/span&gt;&lt;span class="s2"&gt;"&lt;/span&gt;
  &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;gain&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;gain&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;wealth&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;gain&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;gamesplayed&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;gain&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;win&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;
        &lt;span class="k"&gt;elif&lt;/span&gt; &lt;span class="n"&gt;gain&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="c1"&gt;#Compensating when one player is ruined and cannot bet any more moeny&lt;/span&gt;
            &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;gamesplayed&lt;/span&gt; &lt;span class="o"&gt;-=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;max_bet&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nb"&gt;round&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;max_bet_ratio&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;wealth&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;       
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&lt;p&gt;Now coding the game, a simple flip the coin.&lt;/p&gt;
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&lt;div class="prompt input_prompt"&gt;In [2]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;flip&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;player1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;player2&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="c1"&gt;#Making sure that player are betting affordable bets.&lt;/span&gt;
    &lt;span class="n"&gt;bet&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nb"&gt;min&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;player1&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;max_bet&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;player2&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;max_bet&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;winner&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;choice&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="s2"&gt;"H"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s2"&gt;"T"&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;winner&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="s2"&gt;"H"&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="n"&gt;player1&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;gain&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;bet&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;player2&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;gain&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;bet&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;else&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="n"&gt;player2&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;gain&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;bet&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;player1&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;gain&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="n"&gt;bet&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;  
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&lt;p&gt;Let's test that with 2 players, and playing 50 times&lt;/p&gt;
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&lt;div class="prompt input_prompt"&gt;In [3]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;p1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;Person&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'chris'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;p2&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;Person&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'dave'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;50&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;   
    &lt;span class="n"&gt;flip&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;p1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;p2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;


&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;p1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;p2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
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&lt;pre&gt;chris  (Wealth:1890)   Win Ratio:0.56  Games Played:50
dave    (Wealth:110)    Win Ratio:0.44  Games Played:50
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&lt;p&gt;Note that the game is fair as each player win roughly half of the time, however all the money end up in one player hands only.&lt;/p&gt;
&lt;p&gt;Trying with 1000 games&lt;/p&gt;
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&lt;div class="prompt input_prompt"&gt;In [4]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;p1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;Person&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'chris'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;p2&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;Person&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'dave'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;   
    &lt;span class="n"&gt;flip&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;p1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;p2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;


&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;p1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;p2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
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&lt;pre&gt;chris  (Wealth:2)  Win Ratio:0.44537815126050423   Games Played:119
dave    (Wealth:1998)   Win Ratio:0.5546218487394958    Games Played:119
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&lt;p&gt;Note that the betting stopped after few iterations iteration as one player is ruined.&lt;/p&gt;
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&lt;div class="prompt input_prompt"&gt;In [5]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;players&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;Person&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;&lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;)]&lt;/span&gt;

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&lt;p&gt;And let them play against each others, many many times..&lt;/p&gt;
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&lt;div class="prompt input_prompt"&gt;In [6]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;number_players&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;players&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Number of players'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;number_players&lt;/span&gt; &lt;span class="p"&gt;)&lt;/span&gt;

&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;g&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;10000&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;team&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sample&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;players&lt;/span&gt;&lt;span class="p"&gt;[:],&lt;/span&gt; &lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;t&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;team&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="n"&gt;flip&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;team&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;&lt;span class="n"&gt;team&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;p&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;players&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
    &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;p&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt"&gt;&lt;/div&gt;
&lt;div class="output_subarea output_stream output_stdout output_text"&gt;
&lt;pre&gt;Number of players 10
0   (Wealth:9982)   Win Ratio:0.5015151515151515    Games Played:660
1   (Wealth:2)  Win Ratio:0.4909090909090909    Games Played:165
2   (Wealth:2)  Win Ratio:0.47058823529411764   Games Played:221
3   (Wealth:2)  Win Ratio:0.5311143270622286    Games Played:691
4   (Wealth:2)  Win Ratio:0.5284090909090909    Games Played:352
5   (Wealth:2)  Win Ratio:0.4425531914893617    Games Played:235
6   (Wealth:2)  Win Ratio:0.4840182648401826    Games Played:219
7   (Wealth:2)  Win Ratio:0.5158371040723982    Games Played:442
8   (Wealth:2)  Win Ratio:0.46464646464646464   Games Played:198
9   (Wealth:2)  Win Ratio:0.4482758620689655    Games Played:145
&lt;/pre&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing text_cell rendered" id="cell-id=ed8a38ef"&gt;&lt;div class="prompt input_prompt"&gt;
&lt;/div&gt;&lt;div class="inner_cell"&gt;
&lt;div class="text_cell_render border-box-sizing rendered_html"&gt;
&lt;p&gt;One player ended up with all the money, some were ruined only after 62 games...&lt;/p&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing text_cell rendered" id="cell-id=604821b7"&gt;&lt;div class="prompt input_prompt"&gt;
&lt;/div&gt;&lt;div class="inner_cell"&gt;
&lt;div class="text_cell_render border-box-sizing rendered_html"&gt;
&lt;p&gt;So looks like ultra-rich are inevitable, even without taking talent into account.&lt;/p&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered" id="cell-id=ac2246db"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [ ]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt; 
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;</content><category term="Data Analysis"/><category term="Python"/><category term="Data Analysis"/><category term="Economics"/></entry><entry><title>Useful UNIX/Linux tips</title><link href="https://tofeire.codeberg.page/articles/unix_top.html" rel="alternate"/><published>2020-10-16T14:00:00+01:00</published><updated>2020-10-16T14:00:00+01:00</updated><author><name>Christophe</name></author><id>tag:tofeire.codeberg.page,2020-10-16:/articles/unix_top.html</id><summary type="html">&lt;p&gt;Useful unix commands&lt;/p&gt;</summary><content type="html">&lt;h2&gt;Find&lt;/h2&gt;
&lt;ul&gt;
&lt;li&gt;Find all my directories not accessed in the last 30 days in tmp area.&lt;/li&gt;
&lt;/ul&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;find&lt;span class="w"&gt; &lt;/span&gt;/tmp/&lt;span class="w"&gt; &lt;/span&gt;.&lt;span class="w"&gt; &lt;/span&gt;-user&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;$USER&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;-type&lt;span class="w"&gt; &lt;/span&gt;d&lt;span class="w"&gt; &lt;/span&gt;-atime&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="m"&gt;30&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;

&lt;ul&gt;
&lt;li&gt;Sum the size of all gds found in a given directory&lt;/li&gt;
&lt;/ul&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;find&lt;span class="w"&gt; &lt;/span&gt;/directory/of/interest/.&lt;span class="w"&gt; &lt;/span&gt;-type&lt;span class="w"&gt; &lt;/span&gt;f&lt;span class="w"&gt; &lt;/span&gt;-name&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s1"&gt;&amp;#39;*.gds&amp;#39;&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;-exec&lt;span class="w"&gt; &lt;/span&gt;du&lt;span class="w"&gt; &lt;/span&gt;-ch&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;{}&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;+&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;|&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;grep&lt;span class="w"&gt; &lt;/span&gt;total$
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;

&lt;ul&gt;
&lt;li&gt;Find broken links&lt;/li&gt;
&lt;/ul&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;find&lt;span class="w"&gt; &lt;/span&gt;.&lt;span class="w"&gt; &lt;/span&gt;-xtype&lt;span class="w"&gt; &lt;/span&gt;l
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;

&lt;h2&gt;Disk space&lt;/h2&gt;
&lt;ul&gt;
&lt;li&gt;Sum available disk in human readable format&lt;/li&gt;
&lt;/ul&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;df&lt;span class="w"&gt; &lt;/span&gt;.&lt;span class="w"&gt; &lt;/span&gt;-h
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;

&lt;ul&gt;
&lt;li&gt;Sum used disk in human readable format, in the current directory&lt;/li&gt;
&lt;/ul&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;du&lt;span class="w"&gt; &lt;/span&gt;.&lt;span class="w"&gt; &lt;/span&gt;-sh
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;

&lt;ul&gt;
&lt;li&gt;Disk used summarized by first 3 level of hierarchy&lt;/li&gt;
&lt;/ul&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;du&lt;span class="w"&gt; &lt;/span&gt;.&lt;span class="w"&gt; &lt;/span&gt;-h&lt;span class="w"&gt; &lt;/span&gt;--max-depth&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="m"&gt;3&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;

&lt;h2&gt;Vi (gvim)&lt;/h2&gt;
&lt;ul&gt;
&lt;li&gt;Go to a file under the cursor in gvim:&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;&lt;strong&gt;gf&lt;/strong&gt; open the highlighted fie in the same window.&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;&lt;ctrl+w&gt;gf&lt;/strong&gt; open the highlighted fie in the same window.&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;Preference for vi: .vimrc  &lt;/li&gt;
&lt;/ul&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;color&lt;span class="w"&gt; &lt;/span&gt;pablo
syntax&lt;span class="w"&gt; &lt;/span&gt;on
&lt;span class="nb"&gt;set&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;tabstop&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="m"&gt;4&lt;/span&gt;
&lt;span class="nb"&gt;set&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;autoindent
&lt;span class="nb"&gt;set&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;number
&lt;span class="nb"&gt;set&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;showmatch
&lt;span class="nb"&gt;set&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;ignorecase
&lt;span class="nb"&gt;set&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;smartcase
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;

&lt;h2&gt;Date&lt;/h2&gt;</content><category term="Unix"/><category term="system"/><category term="work"/><category term="unix"/><category term="linux"/><category term="bash"/><category term="shell"/></entry><entry><title>Talking To Stranger (Book Review)</title><link href="https://tofeire.codeberg.page/articles/talking-to-stranger-book-review.html" rel="alternate"/><published>2020-06-29T12:05:00+01:00</published><updated>2020-06-29T12:05:00+01:00</updated><author><name>Christophe</name></author><id>tag:tofeire.codeberg.page,2020-06-29:/articles/talking-to-stranger-book-review.html</id><summary type="html">&lt;p&gt;Review of book Talking to Stranger&lt;/p&gt;</summary><content type="html">&lt;h1&gt;Talking To Stranger by Malcolm Gladwell&lt;/h1&gt;
&lt;ul&gt;
&lt;li&gt;
&lt;p&gt;Summary:
It is about miscommunication and the "wrong" assumptions one makes when talking to strangers.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;My opinion:
First I have been a long time big fan of Malcolm Gladwell, and I enjoy the way he can summarize deep and complicated social and scientific insight into the format of a compelling story. Sometimes it can backfire and become over-simplistic, but the story is there, and we are stories people and Mr Gladwell is a great story teller.
Now, I was a bit confused by this book, and in the end it is probably the work of his at least enjoyed, the issue he is exploring is very complex and he is not quite able to condense it into a simple storyline, because it cannot.
It is pardoxical, that I was annoyed by the absence of a single punchline and simple explanation, when at the same time, I have been well aware that it is the exact default of Malcolm Gladwell writtings.
May be this book is more suited to the podcast format&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Key points:&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;You need to challenge your preconceptions, your existing notions&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;When confronted with somebody out of the "norm", &lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;External Links:&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;&lt;a href="Truth-default theory"&gt;https://en.wikipedia.org/wiki/Truth-default_theory&lt;/a&gt;&lt;/li&gt;
&lt;/ul&gt;</content><category term="book"/><category term="book"/></entry><entry><title>Open EDA iVerilog</title><link href="https://tofeire.codeberg.page/articles/openeda_verilog.html" rel="alternate"/><published>2020-06-21T13:20:00+01:00</published><updated>2020-06-21T13:20:00+01:00</updated><author><name>Christophe</name></author><id>tag:tofeire.codeberg.page,2020-06-21:/articles/openeda_verilog.html</id><summary type="html">&lt;p&gt;How to run Verilog on a Mac with Open Source Tools&lt;/p&gt;</summary><content type="html">&lt;h1&gt;Tools (MacOSX):&lt;/h1&gt;
&lt;ul&gt;
&lt;li&gt;&lt;a href="http://iverilog.icarus.com/"&gt;Icarus iVerilog&lt;/a&gt;&lt;/li&gt;
&lt;li&gt;&lt;a href="http://www.logicpoet.com/scansion/"&gt;Scansion to view the vaweforms&lt;/a&gt;.&lt;/li&gt;
&lt;/ul&gt;
&lt;h1&gt;Installation&lt;/h1&gt;
&lt;p&gt;iVerilog
You can nstall it through &lt;a href="https://brew.sh/"&gt;brew&lt;/a&gt;&lt;/p&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;brew install icarus-verilog
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Or MacPorts:&lt;/p&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;sudo port -v install iverilog
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;

&lt;h1&gt;Running a simulation&lt;/h1&gt;
&lt;p&gt;First compile Verilog using iverilog:&lt;/p&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;iverilog -o test.vvp test_tb.v
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Then running the simulation:&lt;/p&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;vvp test.vvp
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Which should result in the following:&lt;/p&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;&lt;span class="nv"&gt;VCD&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;info&lt;/span&gt;:&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;dumpfile&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;test&lt;/span&gt;.&lt;span class="nv"&gt;vcd&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;opened&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;output&lt;/span&gt;.
&lt;span class="nv"&gt;done&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;testing&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;case&lt;/span&gt;&lt;span class="w"&gt;           &lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;
&lt;span class="nv"&gt;done&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;testing&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;case&lt;/span&gt;&lt;span class="w"&gt;           &lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;
&lt;span class="nv"&gt;done&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;testing&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;case&lt;/span&gt;&lt;span class="w"&gt;           &lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;
&lt;span class="nv"&gt;done&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;testing&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;case&lt;/span&gt;&lt;span class="w"&gt;           &lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;
&lt;span class="nv"&gt;done&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;testing&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;case&lt;/span&gt;&lt;span class="w"&gt;           &lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;
&lt;span class="nv"&gt;done&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;testing&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;case&lt;/span&gt;&lt;span class="w"&gt;           &lt;/span&gt;&lt;span class="mi"&gt;5&lt;/span&gt;
&lt;span class="nv"&gt;done&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;testing&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;case&lt;/span&gt;&lt;span class="w"&gt;           &lt;/span&gt;&lt;span class="mi"&gt;6&lt;/span&gt;
&lt;span class="nv"&gt;done&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;testing&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="nv"&gt;case&lt;/span&gt;&lt;span class="w"&gt;           &lt;/span&gt;&lt;span class="mi"&gt;7&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;Finally, have a look at waveform:&lt;/p&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;open -a Scansion test.vcd
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;&lt;img alt="Waveform" src="/images/scanion-3-1-vcd.png" title="waveform vcd"&gt;&lt;/p&gt;
&lt;p&gt;More test.v:&lt;/p&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;&lt;span class="k"&gt;module&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;test&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;A&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;B&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;C&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;D&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;E&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

&lt;span class="w"&gt;   &lt;/span&gt;&lt;span class="k"&gt;output&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;D&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;E&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="w"&gt;   &lt;/span&gt;&lt;span class="k"&gt;input&lt;/span&gt;&lt;span class="w"&gt;  &lt;/span&gt;&lt;span class="n"&gt;A&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;B&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;C&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="w"&gt;   &lt;/span&gt;&lt;span class="kt"&gt;wire&lt;/span&gt;&lt;span class="w"&gt;   &lt;/span&gt;&lt;span class="n"&gt;w1&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="w"&gt;   &lt;/span&gt;&lt;span class="k"&gt;and&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;GATE1&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;w1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;A&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;B&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
&lt;span class="w"&gt;   &lt;/span&gt;&lt;span class="k"&gt;not&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;GATE2&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;E&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;C&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
&lt;span class="w"&gt;   &lt;/span&gt;&lt;span class="k"&gt;or&lt;/span&gt;&lt;span class="w"&gt;  &lt;/span&gt;&lt;span class="n"&gt;GATE3&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;D&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;w1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;E&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

&lt;span class="k"&gt;endmodule&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;

&lt;p&gt;And the testbench:&lt;/p&gt;
&lt;div class="highlight"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;code&gt;&lt;span class="o"&gt;//&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;Verilog&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;test&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;bench&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;test&lt;/span&gt;
&lt;span class="err"&gt;`&lt;/span&gt;&lt;span class="n"&gt;timescale&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="n"&gt;ns&lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="mi"&gt;100&lt;/span&gt;&lt;span class="n"&gt;ps&lt;/span&gt;
&lt;span class="err"&gt;`&lt;/span&gt;&lt;span class="n"&gt;include&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="s2"&gt;&amp;quot;test.v&amp;quot;&lt;/span&gt;

&lt;span class="n"&gt;module&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;test_tb&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="n"&gt;wire&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;A&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;B&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;C&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;D&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;E&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="n"&gt;integer&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="n"&gt;assign&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;A&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;B&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;C&lt;/span&gt;&lt;span class="p"&gt;}&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;
&lt;span class="n"&gt;test&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;the_circuit&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;A&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;B&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;C&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;D&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;E&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

&lt;span class="n"&gt;initial&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;begin&lt;/span&gt;

&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="o"&gt;$&lt;/span&gt;&lt;span class="n"&gt;dumpfile&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;&amp;quot;test.vcd&amp;quot;&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;
&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="o"&gt;$&lt;/span&gt;&lt;span class="n"&gt;dumpvars&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;test_tb&lt;/span&gt;&lt;span class="p"&gt;);&lt;/span&gt;

&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="k"&gt;for&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;&amp;lt;&lt;/span&gt;&lt;span class="mi"&gt;8&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;&lt;span class="w"&gt; &lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="w"&gt;        &lt;/span&gt;&lt;span class="c1"&gt;#10 $display(&amp;quot;done testing case %d&amp;quot;, k);&lt;/span&gt;

&lt;span class="w"&gt;    &lt;/span&gt;&lt;span class="o"&gt;$&lt;/span&gt;&lt;span class="n"&gt;finish&lt;/span&gt;&lt;span class="p"&gt;;&lt;/span&gt;

&lt;span class="n"&gt;end&lt;/span&gt;

&lt;span class="n"&gt;endmodule&lt;/span&gt;
&lt;/code&gt;&lt;/pre&gt;&lt;/div&gt;</content><category term="ICDesign"/><category term="EDA"/><category term="ICDesign"/><category term="verilog"/></entry><entry><title>Revisiting xmas kindle draw</title><link href="https://tofeire.codeberg.page/articles/xmas_kindle_2019.html" rel="alternate"/><published>2019-11-18T00:00:00+00:00</published><updated>2019-11-18T00:00:00+00:00</updated><author><name>Christophe</name></author><id>tag:tofeire.codeberg.page,2019-11-18:/articles/xmas_kindle_2019.html</id><summary type="html">&lt;p&gt;Improving, revisiting and digging into xmas draws.&lt;/p&gt;</summary><content type="html">&lt;p&gt;Using jupyter notebook, to figure out how to draw our next christmas kindle.&lt;/p&gt;
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&lt;h1 id="A-very-simple-kindle-draw"&gt;A very simple kindle draw&lt;a class="anchor-link" href="#A-very-simple-kindle-draw"&gt;¶&lt;/a&gt;&lt;/h1&gt;&lt;p&gt;Revisiting the simple kindle draw. And getting utterly confused.&lt;/p&gt;
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&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [1]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="nn"&gt;random&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;simple_secret_santa&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;printit&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="kc"&gt;False&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;s&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sample&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;out&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;enumerate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="n"&gt;to&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
        &lt;span class="k"&gt;else&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="n"&gt;to&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
        &lt;span class="n"&gt;out&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="s1"&gt;'-'&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;printit&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s2"&gt;"   "&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s1"&gt;' gives to '&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;out&lt;/span&gt;
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&lt;div class="prompt input_prompt"&gt;In [2]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'Ro'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Pa'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Ao'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'HaM'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="s1"&gt;'Fi'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;'Ci'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="s1"&gt;'Te'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Ja'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Ch'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'HaC'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="s1"&gt;'Co'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'An'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'It'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="s1"&gt;'To'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="s1"&gt;'Et'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="s1"&gt;'Ro'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;'Li'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
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&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [3]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;s&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;simple_secret_santa&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;printit&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="kc"&gt;True&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
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&lt;pre&gt;1   Te gives to Ro
2   Ro gives to Ci
3   Ci gives to Ch
4   Ch gives to HaM
5   HaM gives to Co
6   Co gives to HaC
7   HaC gives to Pa
8   Pa gives to To
9   To gives to Ao
10   Ao gives to Ro
11   Ro gives to Li
12   Li gives to Fi
13   Fi gives to It
14   It gives to Et
15   Et gives to Ja
16   Ja gives to An
17   An gives to Te
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&lt;h1 id="How-random-is-this-?"&gt;How random is this ?&lt;a class="anchor-link" href="#How-random-is-this-?"&gt;¶&lt;/a&gt;&lt;/h1&gt;&lt;p&gt;First lets import matplotlib package so we can do some vizualisation.&lt;/p&gt;
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&lt;div class="prompt input_prompt"&gt;In [4]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="o"&gt;%&lt;/span&gt;&lt;span class="k"&gt;matplotlib&lt;/span&gt; inline
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="nn"&gt;matplotlib.pyplot&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nn"&gt;plt&lt;/span&gt; 
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="nn"&gt;matplotlib.gridspec&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nn"&gt;gridspec&lt;/span&gt; 
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="nn"&gt;numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nn"&gt;np&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="nn"&gt;itertools&lt;/span&gt;
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&lt;div class="prompt input_prompt"&gt;In [5]:&lt;/div&gt;
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&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;monte_carlo&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1000&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;comb&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;name1&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="s1"&gt;'-'&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="n"&gt;name2&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;name1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;name2&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;itertools&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;permutations&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)}&lt;/span&gt;
    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;couple&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;simple_secret_santa&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
            &lt;span class="n"&gt;comb&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;couple&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
    &lt;span class="n"&gt;fig1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;figure&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;comb&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;k&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;comb&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keys&lt;/span&gt;&lt;span class="p"&gt;()])&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Iterations'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Count each combo'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="c1"&gt;#plt.axhline(y=n, color='r', linestyle='-')&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;title&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Xmas Kindle'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;comb&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
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&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [6]:&lt;/div&gt;
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&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;c&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;monte_carlo&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1000000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
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"/&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing text_cell rendered"&gt;&lt;div class="prompt input_prompt"&gt;
&lt;/div&gt;&lt;div class="inner_cell"&gt;
&lt;div class="text_cell_render border-box-sizing rendered_html"&gt;
&lt;p&gt;That is very odd, I would have expected each combination to appear roughly the same number of times, it looks like some combination are twice as frequent ? ... Let's try with a smaller set.&lt;/p&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [7]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;names2&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'Jolene'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Niamh'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Sophie'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Lorraine'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Paschal'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="c1"&gt;#only 5 people in the draw, which should make 20 possible donor combinations&lt;/span&gt;
&lt;span class="n"&gt;comb2&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;name1&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="s1"&gt;'-'&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="n"&gt;name2&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;name1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;name2&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;itertools&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;permutations&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)}&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;comb2&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt"&gt;&lt;/div&gt;
&lt;div class="output_subarea output_stream output_stdout output_text"&gt;
&lt;pre&gt;20
&lt;/pre&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [8]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;c2&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;monte_carlo&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names2&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;50000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt"&gt;&lt;/div&gt;
&lt;div class="output_png output_subarea"&gt;
&lt;img alt="No description has been provided for this image" 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"/&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing text_cell rendered"&gt;&lt;div class="prompt input_prompt"&gt;
&lt;/div&gt;&lt;div class="inner_cell"&gt;
&lt;div class="text_cell_render border-box-sizing rendered_html"&gt;
&lt;p&gt;This looks about right.Let's used a reduced inital set.&lt;/p&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [9]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;c_Reduced&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;monte_carlo&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;[:&lt;/span&gt;&lt;span class="mi"&gt;14&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1000000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt"&gt;&lt;/div&gt;
&lt;div class="output_png output_subarea"&gt;
&lt;img alt="No description has been provided for this image" 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"/&gt;
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&lt;p&gt;Again this looks more as expected, after inspecting the initial names selection, I actually realized the name were not uniques.&lt;/p&gt;
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&lt;div class="prompt input_prompt"&gt;In [10]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;duplicates&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;=&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;duplicates&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
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&lt;pre&gt;[True, False, False, False, False, False, False, False, False, False, False, False, False, False, False, True, False]
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&lt;div class="prompt input_prompt"&gt;In [11]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="c1"&gt;# Replicating the issue with duplicate names&lt;/span&gt;
&lt;span class="n"&gt;names3&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'Jolene'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Niamh'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Sophie'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Lorraine'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Jolene'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="c1"&gt;#only 5 people in the draw, which should make 20 possible donor combinations, with a duplicate&lt;/span&gt;
&lt;span class="n"&gt;comb3&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;name1&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="s1"&gt;'-'&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="n"&gt;name2&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;name1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;name2&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;itertools&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;permutations&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;&lt;span class="p"&gt;)}&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;comb2&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;span class="n"&gt;c3&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;monte_carlo&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names3&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;50000&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
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&lt;pre&gt;20
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"/&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [12]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="c1"&gt;#This explain the disruption in randomness so we can easily fix that by adding a check for name uniqueness&lt;/span&gt;
&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;isThereDuplicates&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;dups&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;count&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;&amp;gt;=&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="nb"&gt;any&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;dups&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"Duplicate names"&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;dups&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="kc"&gt;True&lt;/span&gt;&lt;span class="p"&gt;)])&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;True&lt;/span&gt;
    &lt;span class="k"&gt;else&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="kc"&gt;False&lt;/span&gt;

&lt;span class="n"&gt;isThereDuplicates&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt"&gt;&lt;/div&gt;
&lt;div class="output_subarea output_stream output_stdout output_text"&gt;
&lt;pre&gt;Duplicate names
Ro
&lt;/pre&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt output_prompt"&gt;Out[12]:&lt;/div&gt;
&lt;div class="output_text output_subarea output_execute_result"&gt;
&lt;pre&gt;True&lt;/pre&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [13]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="c1"&gt;# Fixing the duplicates&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;simple_secret_santa&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;printit&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="kc"&gt;False&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;s&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sample&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;out&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="ow"&gt;not&lt;/span&gt; &lt;span class="n"&gt;isThereDuplicates&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;enumerate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
                &lt;span class="n"&gt;to&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
            &lt;span class="k"&gt;else&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
                &lt;span class="n"&gt;to&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
            &lt;span class="n"&gt;out&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="s1"&gt;'-'&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;printit&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
                &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s2"&gt;"   "&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s1"&gt;' gives to '&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;to&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;out&lt;/span&gt;
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&lt;h1 id="Family-draws"&gt;Family draws&lt;a class="anchor-link" href="#Family-draws"&gt;¶&lt;/a&gt;&lt;/h1&gt;&lt;p&gt;However for a family draw, you may want to avoid gift between siblings ( my particular family case ) or between partners (not considered here), so only gift to cousin are allowed, to do this I am introducing a dictionary, with the name of the parent as value and the kid name as key.&lt;/p&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;simple_secret_santa_avoid_siblings&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;givers&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="nb"&gt;list&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keys&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;
    &lt;span class="n"&gt;recipients&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
    &lt;span class="n"&gt;s&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sample&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;givers&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;givers&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
    &lt;span class="n"&gt;out&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
    &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="ow"&gt;not&lt;/span&gt; &lt;span class="n"&gt;isThereDuplicates&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;list&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;givers&lt;/span&gt;&lt;span class="p"&gt;)):&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;enumerate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;s&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
            &lt;span class="n"&gt;possible&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;r&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;r&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keys&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;r&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;!=&lt;/span&gt; &lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="ow"&gt;and&lt;/span&gt; &lt;span class="n"&gt;r&lt;/span&gt; &lt;span class="ow"&gt;not&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;recipients&lt;/span&gt;&lt;span class="p"&gt;)]&lt;/span&gt;
            &lt;span class="n"&gt;recipient&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sample&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;possible&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
            &lt;span class="n"&gt;recipients&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;recipient&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
            &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s1"&gt;': '&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;name&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s1"&gt;' gives to '&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="n"&gt;recipient&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="s1"&gt;' ::: '&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;recipients&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="s1"&gt;':'&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;possible&lt;/span&gt;&lt;span class="p"&gt;)))&lt;/span&gt;
            &lt;span class="n"&gt;out&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;name&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="s1"&gt;'-'&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="n"&gt;recipient&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="c1"&gt;#Check&lt;/span&gt;
        &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Recipients: '&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;recipients&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="s1"&gt;':: names:'&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="nb"&gt;str&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keys&lt;/span&gt;&lt;span class="p"&gt;())))&lt;/span&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;names_siblings&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="s1"&gt;'Child1'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent1'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Child2'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent1'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Child3'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent1'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Child4'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent1'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="s1"&gt;'Child5'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent2'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;'Child6'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent2'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="s1"&gt;'Child7'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent3'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Child8'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent3'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Child9'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent3'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Child10'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent3'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="s1"&gt;'Child11'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent4'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Child12'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent4'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Child13'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent4'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="s1"&gt;'Child14'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent5'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="s1"&gt;'Child15'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent6'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
        &lt;span class="s1"&gt;'Child16'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent7'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="s1"&gt;'Child17'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="s1"&gt;'Parent7'&lt;/span&gt;&lt;span class="p"&gt;}&lt;/span&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;simple_secret_santa_avoid_siblings&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;names_siblings&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
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&lt;pre&gt;1: Child11 gives to Child14 ::: 1:14
2: Child1 gives to Child11 ::: 2:12
3: Child9 gives to Child6 ::: 3:11
4: Child14 gives to Child3 ::: 4:14
5: Child3 gives to Child5 ::: 5:10
6: Child6 gives to Child9 ::: 6:12
7: Child12 gives to Child10 ::: 7:9
8: Child8 gives to Child17 ::: 8:8
9: Child7 gives to Child15 ::: 9:7
10: Child5 gives to Child8 ::: 10:8
11: Child4 gives to Child12 ::: 11:4
12: Child17 gives to Child13 ::: 12:5
13: Child10 gives to Child1 ::: 13:4
14: Child16 gives to Child4 ::: 14:3
15: Child2 gives to Child7 ::: 15:2
16: Child15 gives to Child2 ::: 16:2
17: Child13 gives to Child16 ::: 17:1
Recipients: 17:: names:17
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&lt;/div&gt;</content><category term="Data Analysis"/><category term="Python"/><category term="Data Analysis"/></entry><entry><title>On prime birthdays.</title><link href="https://tofeire.codeberg.page/articles/prime_birthday.html" rel="alternate"/><published>2019-11-10T00:00:00+00:00</published><updated>2019-11-10T00:00:00+00:00</updated><author><name>Christophe</name></author><id>tag:tofeire.codeberg.page,2019-11-10:/articles/prime_birthday.html</id><summary type="html">&lt;p&gt;How many prime birthday will you have ?&lt;/p&gt;</summary><content type="html">&lt;p&gt;Using jupyter notebook, to figure out how my next prime brithday.&lt;/p&gt;
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&lt;h1 id="Find-your-prime-and-double-prime-birthday"&gt;Find your prime and double prime birthday&lt;a class="anchor-link" href="#Find-your-prime-and-double-prime-birthday"&gt;¶&lt;/a&gt;&lt;/h1&gt;&lt;p&gt;Prime Birthday definition, we define a prime birthday as:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;when your reach an age which is a prime number (2 year old,3 year old,5th birthday,7th,11th...)&lt;/li&gt;
&lt;li&gt;when the year of your birthday is a prime.
Double Prime Birthday:&lt;/li&gt;
&lt;li&gt;when both your age and the year are a prime&lt;/li&gt;
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&lt;p&gt;How frequent are prime birthday, in your lifetime and double prime ?&lt;/p&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="c1"&gt;#Check if a number is prime&lt;/span&gt;
&lt;span class="c1"&gt;# Using Sieve of Eratosthenes ( https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes )&lt;/span&gt;
&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;ListPrimes&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="c1"&gt;#init&lt;/span&gt;
    &lt;span class="n"&gt;primes&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="kc"&gt;True&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)]&lt;/span&gt;
    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;enumerate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;primes&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;index&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="ow"&gt;or&lt;/span&gt; &lt;span class="n"&gt;index&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="n"&gt;primes&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="kc"&gt;False&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;primes&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="kc"&gt;True&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="n"&gt;next_index&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="mi"&gt;2&lt;/span&gt;
            &lt;span class="k"&gt;while&lt;/span&gt; &lt;span class="n"&gt;next_index&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
                &lt;span class="n"&gt;primes&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;next_index&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="kc"&gt;False&lt;/span&gt;
                &lt;span class="n"&gt;next_index&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="n"&gt;index&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;primes&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;isPrime&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;primes&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;ListPrimes&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;primes&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="c1"&gt;#Basic test&lt;/span&gt;
&lt;span class="n"&gt;isPrime&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;3&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
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&lt;pre&gt;True&lt;/pre&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;isPrime&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;458&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
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&lt;pre&gt;False&lt;/pre&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="c1"&gt;#Based on year you are born, calculte all prime birthdays.&lt;/span&gt;
&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;prime_birthday&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;year_born&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;age_limit&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;125&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;primes&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;ListPrimes&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;year_born&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="n"&gt;age_limit&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;bday&lt;/span&gt;  &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
    &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;
    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;age&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;age_limit&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;primes&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;age&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="ow"&gt;or&lt;/span&gt; &lt;span class="n"&gt;primes&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;year_born&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="n"&gt;age&lt;/span&gt;&lt;span class="p"&gt;]:&lt;/span&gt;
            &lt;span class="n"&gt;count&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
            &lt;span class="n"&gt;bday&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;({&lt;/span&gt;&lt;span class="s1"&gt;'age'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="n"&gt;age&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'year'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="n"&gt;year_born&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="n"&gt;age&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Prime age'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="n"&gt;primes&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;age&lt;/span&gt;&lt;span class="p"&gt;],&lt;/span&gt;&lt;span class="s1"&gt;'Prime Year'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="n"&gt;primes&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;year_born&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="n"&gt;age&lt;/span&gt;&lt;span class="p"&gt;]})&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;bday&lt;/span&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="c1"&gt;# example for someboday born in 1910&lt;/span&gt;
&lt;span class="n"&gt;prime_birthday&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1910&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
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&lt;pre&gt;[{'age': 2, 'year': 1912, 'Prime age': True, 'Prime Year': False},
 {'age': 3, 'year': 1913, 'Prime age': True, 'Prime Year': True},
 {'age': 5, 'year': 1915, 'Prime age': True, 'Prime Year': False},
 {'age': 7, 'year': 1917, 'Prime age': True, 'Prime Year': False},
 {'age': 11, 'year': 1921, 'Prime age': True, 'Prime Year': False},
 {'age': 13, 'year': 1923, 'Prime age': True, 'Prime Year': False},
 {'age': 17, 'year': 1927, 'Prime age': True, 'Prime Year': False},
 {'age': 19, 'year': 1929, 'Prime age': True, 'Prime Year': False},
 {'age': 21, 'year': 1931, 'Prime age': False, 'Prime Year': True},
 {'age': 23, 'year': 1933, 'Prime age': True, 'Prime Year': True},
 {'age': 29, 'year': 1939, 'Prime age': True, 'Prime Year': False},
 {'age': 31, 'year': 1941, 'Prime age': True, 'Prime Year': False},
 {'age': 37, 'year': 1947, 'Prime age': True, 'Prime Year': False},
 {'age': 39, 'year': 1949, 'Prime age': False, 'Prime Year': True},
 {'age': 41, 'year': 1951, 'Prime age': True, 'Prime Year': True},
 {'age': 43, 'year': 1953, 'Prime age': True, 'Prime Year': False},
 {'age': 47, 'year': 1957, 'Prime age': True, 'Prime Year': False},
 {'age': 53, 'year': 1963, 'Prime age': True, 'Prime Year': False},
 {'age': 59, 'year': 1969, 'Prime age': True, 'Prime Year': False},
 {'age': 61, 'year': 1971, 'Prime age': True, 'Prime Year': False},
 {'age': 63, 'year': 1973, 'Prime age': False, 'Prime Year': True},
 {'age': 67, 'year': 1977, 'Prime age': True, 'Prime Year': False},
 {'age': 69, 'year': 1979, 'Prime age': False, 'Prime Year': True},
 {'age': 71, 'year': 1981, 'Prime age': True, 'Prime Year': False},
 {'age': 73, 'year': 1983, 'Prime age': True, 'Prime Year': False},
 {'age': 77, 'year': 1987, 'Prime age': False, 'Prime Year': True},
 {'age': 79, 'year': 1989, 'Prime age': True, 'Prime Year': False},
 {'age': 83, 'year': 1993, 'Prime age': True, 'Prime Year': True},
 {'age': 87, 'year': 1997, 'Prime age': False, 'Prime Year': True},
 {'age': 89, 'year': 1999, 'Prime age': True, 'Prime Year': True},
 {'age': 93, 'year': 2003, 'Prime age': False, 'Prime Year': True},
 {'age': 97, 'year': 2007, 'Prime age': True, 'Prime Year': False},
 {'age': 101, 'year': 2011, 'Prime age': True, 'Prime Year': True},
 {'age': 103, 'year': 2013, 'Prime age': True, 'Prime Year': False},
 {'age': 107, 'year': 2017, 'Prime age': True, 'Prime Year': True},
 {'age': 109, 'year': 2019, 'Prime age': True, 'Prime Year': False},
 {'age': 113, 'year': 2023, 'Prime age': True, 'Prime Year': False},
 {'age': 117, 'year': 2027, 'Prime age': False, 'Prime Year': True},
 {'age': 119, 'year': 2029, 'Prime age': False, 'Prime Year': True}]&lt;/pre&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="c1"&gt;#Summarize&lt;/span&gt;
&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;SumPrimeBday&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;year_born&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;age_limit&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;125&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;bday&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;prime_birthday&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;year_born&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;age_limit&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;count_prime_age&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;
    &lt;span class="n"&gt;count_prime_year&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;
    &lt;span class="n"&gt;count_double&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;
    &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;b&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;bday&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;b&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'Prime age'&lt;/span&gt;&lt;span class="p"&gt;]:&lt;/span&gt;
            &lt;span class="n"&gt;count_prime_age&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;b&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'Prime Year'&lt;/span&gt;&lt;span class="p"&gt;]:&lt;/span&gt;
            &lt;span class="n"&gt;count_prime_year&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;b&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'Prime age'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="ow"&gt;and&lt;/span&gt; &lt;span class="n"&gt;b&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'Prime Year'&lt;/span&gt;&lt;span class="p"&gt;]:&lt;/span&gt;
            &lt;span class="n"&gt;count_double&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="s1"&gt;'Prime Ages'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="n"&gt;count_prime_age&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Prime Years'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="n"&gt;count_prime_year&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="s1"&gt;'Double'&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="n"&gt;count_double&lt;/span&gt;&lt;span class="p"&gt;}&lt;/span&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;SumPrimeBday&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1976&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
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&lt;pre&gt;{'Prime Ages': 30, 'Prime Years': 19, 'Double': 8}&lt;/pre&gt;
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&lt;p&gt;So the number of potential prime age birthdays will be the same for everybody, 30 if you live till 125.&lt;/p&gt;
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&lt;div class="prompt input_prompt"&gt;In [8]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;SumPrimeBday&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1970&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;80&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
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&lt;pre&gt;{'Prime Ages': 22, 'Prime Years': 12, 'Double': 7}&lt;/pre&gt;
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&lt;p&gt;But only 22 if you live till 80.
So the difference depending on your age will be the birth year.&lt;/p&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="c1"&gt;#Using french revolution and current year as window&lt;/span&gt;
&lt;span class="n"&gt;pbday_by_birth_year&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;SumPrimeBday&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;year&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;year&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1789&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;2020&lt;/span&gt;&lt;span class="p"&gt;)]&lt;/span&gt;    
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&lt;div class="prompt input_prompt"&gt;In [10]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="c1"&gt;#Plot&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="nn"&gt;matplotlib.pyplot&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nn"&gt;plt&lt;/span&gt;
&lt;span class="o"&gt;%&lt;/span&gt;&lt;span class="k"&gt;matplotlib&lt;/span&gt; inline

&lt;span class="n"&gt;years&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;year&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;year&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1789&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="mi"&gt;2020&lt;/span&gt;&lt;span class="p"&gt;)]&lt;/span&gt;
&lt;span class="n"&gt;yp&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'Prime Years'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;pbday_by_birth_year&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;

&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;years&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;yp&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Prime Years count'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Year of birth'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
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"/&gt;
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&lt;p&gt;So being born in the 60/70 does provide an advantage in term of primes years you will encounter (assuming you live till 125).&lt;/p&gt;
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&lt;div class="prompt input_prompt"&gt;In [11]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;yd&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="s1"&gt;'Double'&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;pbday_by_birth_year&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;

&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;years&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;yd&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Double Prime Birthday count'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Year of birth'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
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"/&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [12]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="nn"&gt;math&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="nn"&gt;statistics&lt;/span&gt;
&lt;span class="n"&gt;statistics&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mean&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;yp&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt output_prompt"&gt;Out[12]:&lt;/div&gt;
&lt;div class="output_text output_subarea output_execute_result"&gt;
&lt;pre&gt;16.25974025974026&lt;/pre&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [13]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;statistics&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mean&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;yd&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt output_prompt"&gt;Out[13]:&lt;/div&gt;
&lt;div class="output_text output_subarea output_execute_result"&gt;
&lt;pre&gt;3.8181818181818183&lt;/pre&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [14]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;statistics&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mode&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;yd&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;&lt;span class="n"&gt;statistics&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;mode&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;yp&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt"&gt;&lt;/div&gt;
&lt;div class="output_subarea output_stream output_stdout output_text"&gt;
&lt;pre&gt;0 16
&lt;/pre&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [15]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;statistics&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;stdev&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;yd&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;&lt;span class="n"&gt;statistics&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;stdev&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;yp&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt"&gt;&lt;/div&gt;
&lt;div class="output_subarea output_stream output_stdout output_text"&gt;
&lt;pre&gt;4.191276466540036 1.2792925769576962
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&lt;div class="prompt input_prompt"&gt;In [16]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;statistics&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;median&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;yd&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;&lt;span class="n"&gt;statistics&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;median&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;yp&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
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&lt;pre&gt;1 16
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&lt;div class="prompt input_prompt"&gt;In [17]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;no_double&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;years&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;index&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;value&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;enumerate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;yd&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;value&lt;/span&gt; &lt;span class="o"&gt;==&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
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&lt;div class="prompt input_prompt"&gt;In [18]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="c1"&gt;#People born in those years will have no double prime birthday !!&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;no_double&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
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&lt;pre&gt;[1789, 1791, 1793, 1795, 1797, 1801, 1803, 1805, 1807, 1811, 1813, 1815, 1817, 1819, 1823, 1825, 1827, 1831, 1833, 1835, 1837, 1839, 1841, 1843, 1847, 1849, 1851, 1853, 1855, 1857, 1861, 1863, 1867, 1873, 1879, 1881, 1883, 1885, 1889, 1891, 1893, 1895, 1897, 1901, 1903, 1907, 1909, 1913, 1915, 1917, 1919, 1921, 1923, 1925, 1927, 1933, 1935, 1937, 1939, 1941, 1943, 1945, 1951, 1953, 1955, 1957, 1959, 1961, 1963, 1965, 1967, 1969, 1973, 1975, 1979, 1981, 1983, 1987, 1989, 1993, 1999, 2003, 2005, 2007, 2011, 2013, 2017, 2019]
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="nn"&gt;numpy&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nn"&gt;np&lt;/span&gt;
&lt;span class="c1"&gt;# An "interface" to matplotlib.axes.Axes.hist() method&lt;/span&gt;
&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;bins&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;patches&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;hist&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;x&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;yd&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;bins&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;20&lt;/span&gt;&lt;span class="p"&gt;)],&lt;/span&gt; &lt;span class="n"&gt;color&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'#0504aa'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;
                            &lt;span class="n"&gt;alpha&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.7&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;rwidth&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.85&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;grid&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;axis&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'y'&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;alpha&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mf"&gt;0.75&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Double Primes Birthday'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Frequency'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;title&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Histogram'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;maxfreq&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;max&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;span class="c1"&gt;# Set a clean upper y-axis limit.&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ylim&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;ymax&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;np&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ceil&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;maxfreq&lt;/span&gt; &lt;span class="o"&gt;/&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt; &lt;span class="o"&gt;*&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt; &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;maxfreq&lt;/span&gt; &lt;span class="o"&gt;%&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt; &lt;span class="k"&gt;else&lt;/span&gt; &lt;span class="n"&gt;maxfreq&lt;/span&gt; &lt;span class="o"&gt;+&lt;/span&gt; &lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
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&lt;pre&gt;(0.0, 90.0)&lt;/pre&gt;
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"/&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing text_cell rendered"&gt;&lt;div class="prompt input_prompt"&gt;
&lt;/div&gt;&lt;div class="inner_cell"&gt;
&lt;div class="text_cell_render border-box-sizing rendered_html"&gt;
&lt;p&gt;So it turns out having double prime birthday in your lifetime is not usual.&lt;/p&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [20]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;no_double&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt output_prompt"&gt;Out[20]:&lt;/div&gt;
&lt;div class="output_text output_subarea output_execute_result"&gt;
&lt;pre&gt;88&lt;/pre&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing text_cell rendered"&gt;&lt;div class="prompt input_prompt"&gt;
&lt;/div&gt;&lt;div class="inner_cell"&gt;
&lt;div class="text_cell_render border-box-sizing rendered_html"&gt;
&lt;p&gt;So between 1789 and 2020, 88 years will result in no double prime birthdays over 231 years.&lt;/p&gt;
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&lt;/div&gt;</content><category term="Data Analysis"/><category term="Python"/><category term="Data Analysis"/><category term="Statistics"/></entry><entry><title>Completing Panini albums.</title><link href="https://tofeire.codeberg.page/articles/panini_album.html" rel="alternate"/><published>2019-11-07T00:00:00+00:00</published><updated>2019-11-07T00:00:00+00:00</updated><author><name>Christophe</name></author><id>tag:tofeire.codeberg.page,2019-11-07:/articles/panini_album.html</id><summary type="html">&lt;p&gt;How many packet do you need to complete a panini stickers album ?&lt;/p&gt;</summary><content type="html">&lt;p&gt;Using jupyter notebook, to figure out how many packet I need to buy.&lt;/p&gt;
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&lt;h1 id="Question:-How-many-stickers-do-you-need-to-buy-to-complete-a-Panini-album-?"&gt;Question: How many stickers do you need to buy to complete a Panini album ?&lt;a class="anchor-link" href="#Question:-How-many-stickers-do-you-need-to-buy-to-complete-a-Panini-album-?"&gt;¶&lt;/a&gt;&lt;/h1&gt;
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&lt;p&gt;Panini stickers album are famous ( especially during soccer world cup ) in many school yard, where multiple exchange of duplicate are taking place in order to achieve the evasive completion of an album.
I am not sure I have ever been able to complete fully an album when I was a kid.
This bring the question, what does it takes to be able to complete an album. First we will look at it without the possibility of exchange between collectors.
Off course now as a parent the number of packet needed to purchase reveals the sad reality of cost.&lt;/p&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="c1"&gt;# N total number of stickers in the album&lt;/span&gt;
&lt;span class="n"&gt;N&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;662&lt;/span&gt;

&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="nn"&gt;math&lt;/span&gt;
&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="nn"&gt;matplotlib.pyplot&lt;/span&gt; &lt;span class="k"&gt;as&lt;/span&gt; &lt;span class="nn"&gt;plt&lt;/span&gt;

&lt;span class="k"&gt;class&lt;/span&gt; &lt;span class="nc"&gt;album&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
    &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="fm"&gt;__init__&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;Nstickers&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="c1"&gt;# Album start empty. making it private&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;__album&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;{&lt;/span&gt;&lt;span class="n"&gt;i&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;Nstickers&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;)}&lt;/span&gt;
        &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;__Nstickers&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;Nstickers&lt;/span&gt;
    &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;addSticker&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;sticker_number&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;sticker_number&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;=&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;__Nstickers&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;__album&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;sticker_number&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
        &lt;span class="k"&gt;else&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"Not a valid number."&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;isAlbumFull&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nb"&gt;all&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;v&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;v&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;__album&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;values&lt;/span&gt;&lt;span class="p"&gt;()])&lt;/span&gt;
    &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;countGot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nb"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;v&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;v&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;__album&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;values&lt;/span&gt;&lt;span class="p"&gt;()])&lt;/span&gt;
    &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;duplicates&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="nb"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;v&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;v&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;__album&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;values&lt;/span&gt;&lt;span class="p"&gt;()])&lt;/span&gt;
    &lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;display&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
        &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;__album&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;n&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;n&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="bp"&gt;self&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;__album&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;keys&lt;/span&gt;&lt;span class="p"&gt;()])&lt;/span&gt;
        &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Sticker Count'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Sticker Number'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="kn"&gt;import&lt;/span&gt; &lt;span class="nn"&gt;random&lt;/span&gt;
&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;packet&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;Sticker_in_packet&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;5&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;Nalbum&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;random&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;sample&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;Nalbum&lt;/span&gt;&lt;span class="o"&gt;+&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt; &lt;span class="n"&gt;k&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;Sticker_in_packet&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;a&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;isAlbumFull&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;&lt;span class="n"&gt;a&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;countGot&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;&lt;span class="n"&gt;a&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;duplicates&lt;/span&gt;&lt;span class="p"&gt;())&lt;/span&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;fill_album&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;album&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;limit&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;50&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;packet_bought&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;0&lt;/span&gt;
    &lt;span class="n"&gt;tracker&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
    &lt;span class="k"&gt;while&lt;/span&gt; &lt;span class="ow"&gt;not&lt;/span&gt; &lt;span class="n"&gt;album&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;isAlbumFull&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
        &lt;span class="n"&gt;packet_bought&lt;/span&gt; &lt;span class="o"&gt;+=&lt;/span&gt; &lt;span class="mi"&gt;1&lt;/span&gt;
        &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;card&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;packet&lt;/span&gt;&lt;span class="p"&gt;():&lt;/span&gt;
            &lt;span class="n"&gt;album&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;addSticker&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;card&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
        &lt;span class="n"&gt;tracker&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;album&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;countGot&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;&lt;span class="n"&gt;album&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;duplicates&lt;/span&gt;&lt;span class="p"&gt;(),&lt;/span&gt;&lt;span class="n"&gt;album&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;isAlbumFull&lt;/span&gt;&lt;span class="p"&gt;()])&lt;/span&gt;
        &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;album&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;countGot&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt; &lt;span class="o"&gt;-&lt;/span&gt; &lt;span class="n"&gt;N&lt;/span&gt; &lt;span class="o"&gt;&amp;lt;&lt;/span&gt; &lt;span class="n"&gt;limit&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
            &lt;span class="c1"&gt;#print('INFO can buy the remaining',packet_bought)&lt;/span&gt;
            &lt;span class="k"&gt;if&lt;/span&gt; &lt;span class="n"&gt;packet_bought&lt;/span&gt; &lt;span class="o"&gt;&amp;gt;&lt;/span&gt; &lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="o"&gt;*&lt;/span&gt;&lt;span class="mi"&gt;10&lt;/span&gt;&lt;span class="p"&gt;:&lt;/span&gt;
                &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;tracker&lt;/span&gt;
    &lt;span class="k"&gt;return&lt;/span&gt; &lt;span class="n"&gt;tracker&lt;/span&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;t&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;fill_album&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;a&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
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&lt;div class="prompt input_prompt"&gt;In [8]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;plot_tracker&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;tracker&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;figure&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;subplot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;211&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;tracker&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;axhline&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;50&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;linewidth&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;color&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'r'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Sticker filled'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'number of packet bought'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;subplot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="mi"&gt;212&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;tracker&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Duplicates'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'number of packet bought'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;plot_filled&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;tracker&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;0&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;tracker&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;axhline&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;50&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="n"&gt;linewidth&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="mi"&gt;4&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt; &lt;span class="n"&gt;color&lt;/span&gt;&lt;span class="o"&gt;=&lt;/span&gt;&lt;span class="s1"&gt;'r'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Sticker filled'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'number of packet bought'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;

&lt;span class="k"&gt;def&lt;/span&gt; &lt;span class="nf"&gt;plot_duplicate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;tracker&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;([&lt;/span&gt;&lt;span class="n"&gt;y&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;y&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;tracker&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'Duplicates'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'number of packet bought'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
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&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [9]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;plot_filled&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
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"/&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing text_cell rendered"&gt;&lt;div class="prompt input_prompt"&gt;
&lt;/div&gt;&lt;div class="inner_cell"&gt;
&lt;div class="text_cell_render border-box-sizing rendered_html"&gt;
&lt;p&gt;The red line indicate the thresold you need to reach to be able to buy directly from Panini the missing cards. The company only allow you to purchase a limited number of individually chosen cards (usually 50).
That is about 320 packets in our example !!! It is true that after that the completion become really hard.&lt;/p&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [10]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;plot_duplicate&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt"&gt;&lt;/div&gt;
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"/&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [11]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;plot_tracker&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt"&gt;&lt;/div&gt;
&lt;div class="output_png output_subarea"&gt;
&lt;img alt="No description has been provided for this image" 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"/&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [12]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;a&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;display&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt"&gt;&lt;/div&gt;
&lt;div class="output_png output_subarea"&gt;
&lt;img alt="No description has been provided for this image" 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"/&gt;
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&lt;/div&gt;
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&lt;div class="prompt input_prompt"&gt;In [13]:&lt;/div&gt;
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="c1"&gt;#Monte Carlo&lt;/span&gt;
&lt;span class="n"&gt;n_monte_carlo&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="mi"&gt;500&lt;/span&gt;
&lt;span class="n"&gt;y1&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
&lt;span class="n"&gt;y2&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[]&lt;/span&gt;
&lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;i&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="nb"&gt;range&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;n_monte_carlo&lt;/span&gt;&lt;span class="p"&gt;):&lt;/span&gt;
    &lt;span class="n"&gt;am&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;album&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;N&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;t&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="n"&gt;fill_album&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;am&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
    &lt;span class="n"&gt;y1&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
    &lt;span class="n"&gt;y2&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;append&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;t&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="o"&gt;-&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;])&lt;/span&gt;

&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;plot&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;ylabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'how many bought'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;xlabel&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s1"&gt;'MONTE Carlo runs'&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;
&lt;span class="n"&gt;plt&lt;/span&gt;&lt;span class="o"&gt;.&lt;/span&gt;&lt;span class="n"&gt;show&lt;/span&gt;&lt;span class="p"&gt;()&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
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Rg7LBAxTMRJm0mGsEzViWj7yDFYQ8QwxVPVgFeJLBAxjDM0nCWiuvUhStapWhWw+F4yDGOHBSKmQZFM2D1riEpFWFj9RiUPUdK10xiGYeywQMQ0KJJQArBWoXSoUWRhJrNkNUScToFhGBcsEDFMYBJlrUK5irsmrZ1TTXDF749hmIYLC0QMo5GxFRtliiZM66NEmSUugDXse7l63Ua44/WpMGnO0nI3hWHqJSwQMYwGFYIa9hSaPg1R0iYu5V428Jt556ipcNeoaXDI3e+VuylMA6YKGi4sEDFMxEgopghCfYgSNplB5dzLSbOXlbsJDFOvYYGIYRyTMjviJgsVgowaooS1c5V0LxtwehgmRVQ14H7GAhHDaDT0iTM9OZ5Cvk9YRcT3lWGYRAWixx57DNauXRv4fN26deI7hqnvcKh2XZkjDdXuEzaZhQlgDMMwsQWiU089FZYuDUYxLF++XHzHMPWfynHELavJDOoiU3XpisUyDFPhAhEOKqZaJrNmzYK2bdsm1S6GSYmGiG9EXTqsJx0VpqRQaOD3siHXmGLSQ1UDjjOr8d1w0KBB4oHDv/322w9qago/3bhxI0yfPh1GjBhRqnYyjCcJaxXY0BKLNes3wssT58IefTaBTVo39b47GxM2cSUdtcYw+b5Vm4EbXvwSBvZoC0cO2qxeXxhUdMxftha6tm1m/b4S8BaIjjjiCPH/Z599BgceeCC0atUq/12TJk2gd+/ecPTRR5emlQxTh9TWFl5XyDiQOLeNnAJ/e3869O7YAt6+dB/LBc2U3GTGTtVMqXhj8nx49IPvxOv6LhDdOnIKPPjON3DD4dvBSUN7B76vlHHQWyC69tprxf8o+BxzzDHQrJlZkmSY+g77nRTPq5Pmif+/W7gqYmLGZFVElaQhariGjHSyeNU6aCigMIT8/sUvzQIRVAbeApHk5JNPzkeVLViwAGrpchoAevbsmVzrGKbM00JDn0TrmrA8Qxupdi6BYZjePw67Z5KkIY4NVRY/NDaZWZg2bRqcdtpp8MEHHwQuGF5M9CdimPqMmsyvrE1pcETRECVx7StKQ8QqonoJzp1X/+8L2Kx9Czhrry3L2pZqSx9q4I9OfA3RKaecIhyqX3zxRejWrRtHNjAN0Kma7q1ShoJ05CFKvNq98prvJZM+Js5eCv/8cIZ4XW6BqMqiYW/oi4nYAhE6VX/88cfQt2/f0rSIYcpMJWkV6hq3S7VqMkvCxKU6aUODhhVE9ZOVa9NjVam2aogyFdHRIuch2nbbbeHHH38sTWsYJgWoWooGPovWMWEaIDXlQfFw1nEm7aRJc1lt9SGCisBLIFq2bFn+79Zbb4XLLrsM3n77bVi4cKHyHf4xTH0n4UAnxnadQ8LukxiFE95dquHEjPWUTPr90DIpamPZTWbt2rVTHjYctDA5I4WdqhsWcmKqxEGWtQqlIyQNkVLLLHmn6goZ1Zl6RZp6ZbXFZpYmLVbZNURvvfUWvPnmm/k//T39LAqjR4+GQw89FLp37y4m3ueee8667VlnnSW2ufPOO5XPFy1aBMcffzy0adNGCG6nn346rFixQtlmwoQJsMcee4jcST169IDbbrstUjsrDZw4TnnkI/j5n8dU5CTCPkR1dG2N3xdeJ9H3wnyWGhKVt3QpL0n1pzQNsdUVbjLz0hDttddeJTn4ypUrYeDAgSKM/6ijjrJu9+yzz8KHH34oBCcdFIbmzp0Lr7/+Oqxfv14UmD3zzDPhiSeeEN+jGe+AAw6A4cOHw4MPPggTJ04Ux0PhCbdjgqzdUAvvTP1BvJ61eDX06NCioi4Th903nLB7xam6oXtVM/W/4LGlVmhdUc1h99FAbYsJvImogcHEjE2bFmoXuTjooIPEn4vZs2fD+eefD6+++ioccsghyneTJ0+GkSNHwkcffQQ777yz+Oyee+6Bgw8+GP70pz8JAerxxx8XSST/9re/iRIj2223nYiUu/32250C0dq1a8WfhP2jKtWHiCfRUvkimK5tWOLG4hIzJrBDhkkY3c+tnF4KVR6JGRuyJjJy2P0OO+zglGAbN24sSnv8+c9/Lrq8B2bBPvHEE+HSSy8VgozOmDFjhKZHCkMIaoKqq6th7NixcOSRR4pt9txzTyEMSbAWGzqHL168GNq3b2889s033wzXX389VCKVoh61kXT5iErE1ofU1XDpTWZcqJcpFUkJBmky61ZZPi93u1Ibdo/mqz59+sBDDz0kNC34h6+32WYbYaZ6+OGHhS/RVVddVXTjUGjBJJAXXHCB8ft58+ZB586dlc9w+w4dOojv5DZdunRRtpHv5TYmrrjiCli6dGn+b+bMmVApVLpWhMs91M21NechSjYHlCpgQYOmAuMfGgSJFzQugmr2IYrGTTfdBHfddZfQskj69+8Pm222GVx99dUwbtw4aNmyJfz6178WZqu4YPJHPM4nn3xSFpsqmv18TX8NjfpsWkhmEuXEjMXi88iGZqpOpJZZJd1LlojqO+Xuo9UVriKKrCFCp+RevXoFPsfP8DtpVkNH52J49913RfFY9ElCrQ/+ff/990LQ6t07W423a9euYhvKhg0bROQZfie3mT9/vrKNfC+3YVTKvUopN+x3UsprGyXKLInj0X1Xdr9mSkcx5l36y3L30SqbhqhCJKLIAhGW7LjllluEo7IEo7vwM1nOAx2hdTNVVNB3CB24pVkO/9BJGv2J0MEaGTp0KCxZskRokyRorkPfo8GDB+e3wfB+bKMEI9LQxGfzH6p0MqR8Qn0jCWUi+500nDxEdCAv92RTathklq6IyVg7KjPVFomggT868Z2q77vvPjjssMOEiWzAgAHiM9QMYZV7LPiKfPvtt3DOOeeE7gvzBX399df599OnTxeCD/oAoWaoY8eOAYdt1OqgMIP069cPRowYAWeccYYIqUeh57zzzoNjjz02H6J/3HHHCedozE90+eWXwxdffCFMcXfccUfUU68Y6MRRiYNsJfmdlApbvwkrnJu0yUw9HsOUhkwDEdqrbMVd6TYNeE6ILBANGzZMCC4Yzj516lTx2c9+9jMheLRu3Tqv3fFh/PjxsM8+++TfX3LJJeL/k08+GR599FGvfWA7UAjCzNkYXXb00UfD3Xffnf++bdu28Nprr8G5554LO+20E3Tq1AmuueaaVOYg+nrBcujatjm0ahr5tiRKffahScbMwtmNS0VolFlt6UxmDT3JqD5PrV63Eb5ftBK26dK6IjPO1/WY2SimD1eaystUW9NlNOxnRxJr5kXBBzNHF8vee+8d6UJ/9913gc9QmySTMNpATRb6JKWZz2YugSPuex86tWoC46/av6xtqW9O1Uk/rHWlVcB2f79wFfTq2KJiJqywwZ+azJIOu6fCViVw5P3vw1fzlsNfTtoZ9t+2OBcGxk0xmp00+blVW32IKoPIAtFjjz3m/P6kk04qpj0Vy2uTsikAflxR8M0qF/UtMifpNtZVGOytI6fAg+98AxcP3xouHN4HKoGwnCtJayfDnLgbEvpchsIQ8t9PZrFAVGKK6aupykNUlX4tVqoEogsvvFB5j347q1atEokPW7RowQJRTNLUx+pbcdNMPfUhQmEIueONqakWiNZvrBX5gZo1blT8zkI0QElH+KUpgqdcVOp51x8NEXkmyqzFrPaIMmvIvSlylBlmd6Z/6Bg9ZcoU2H333eFf//pXaVpZAaRp0FLrSaWnXXVnMks20qm+s8etb8GA61+DNes3Fr2vsNWwkpgxCafqhBM9phmbQyxTGpIS3tVnIp0mM0iTGitNApEJzFyNYfe69oiJQKb+VCRPG0kLLeru6sMVKK2wOW/ZGli3oRa+/WFlAvszvy6ZyUw5dmXeywo97XrqQwRlparCi7smIhAhmDhxzpw5Se2u4kiTJqa+ReYkvapSK6RDRUNvfxS/b5u2Qu3nbpNZMk7V5teVmuqAKQ1JDZOZelC6I9OAxaPIPkTPP/984AZiVup7770XdttttyTbVlGkSe6obyajpK8dJ2Y0X4skUDU2YSazBI6XcF6j+kmlnnc9yVSdovG2yqohqgzTc2SB6IgjjlDeY7jwJptsAvvuuy/83//9X5JtqyjS1McqPTFh0rlw6jM0DL4uirsm7b+WJnNEuaj0PlwXFNO3wpKVlgIUwv7vtakwYLO2cMB2XSNqiBoukQUiLIvBNHSTWX1zqq5sDVkaTWbW/YUMp0n7EKn7q8ybWZlnXXqSyjCt5t6COuGNyQvg3reyVSK+u+WQ8MSMABXxHBXlQ4QXpiFfnLokTZex/oXdJ2xmsewbKr2MSxJRTKFO1cZNkzhcqp6xuvUhSteJT5y1FP767reKebQ+ktQ4WY68bxgoEam4a6Z+BdrUqUCEyRn79+8PzZs3F3+YCfof//hH8q1jygInZqwf9vJZi1fBirUb6m0En0nYTNpkVt9SSJSkDlXKTvvQe9+DG1+aDE+Pnwn1maTGyTT10WqPxIwNmcgms9tvvx2uvvpqUT9MOlG/9957opTHjz/+CBdffHEp2tngKfeDUJ99iFQtRhL7K7xOqwb0+4UrYa8/vg0dWzaBj68uXakXuoqPFGXmURMpzKk6iaVopWTYdZHW056Sy6Rd12AffGniXNi2WxvYYpNWge9OfuQj8f9jp+3qLKmTVI6rjdRnESCdeYigMp6jyALRPffcAw888ICSkfqwww6D7bbbDq677joWiGKSpk6WphWLD5kKzMP09pQfxP8LV5a21EumlMKm8XiQsFN1/erLRVHhhTl9eXXSfDjviU8D/jPI0tXrYfTUH/JllDZp3bTkJjO13l7d3yvlGa+ybQMVQWSTGYbYY8V7HfwMv2PikabBuj4IBJTknarNr9PE2g3FZ40ui8ksRPuWfC0z8+tKolLP28anMxcn0t+TWjiWQwhSjq8ETlQZt9HN2w1VyI4sEG211Vbw9NNPBz5/6qmnRMZqJh5p6V5LV62HSXOWpVJQs5K0I249iExau762XgrHYU7qSechKkdIc7mwafAa+nlHxvNyhFmPkhK2yxHEUmV55qo9NUQpHRbr3mR2/fXXwzHHHAOjR4/O+xC9//77MGrUKKOgxPiRlg62+21vwvI1G1IvEJQ2U7X5dZpYu6GOBKKEa4GFXdvETWZKaDRUJGntw2kkyniXmIaozEEc9PjVVg2R+33FaoiOPvpoGDt2LHTq1Amee+458Yevx40bB0ceeWRpWlkBpEXwoMJQfZlEKjFTdTlMZokLniFRZsnkISLHS+etTAx7yDSkkiTyWsXB93JU1ZFpvdw+mxsUDVGV1/yUlvmq7BoiZKeddoJ//vOfybemgklr/0pruyhJDyLKQFebfg0RDk6uaJhiUB0+i99faJRZ4pmxK8ip2kJahfpE8lolTJQrVQofonLcKZ9I0gxUBrEEoo0bN8Kzzz4LkydPFu+33XZbOPzww0WBV6ZhDVr1YRJJuoVh9a/e/Go+3P76VLj95zvA1l1aQznA6vN0hde4UR0IRBH6gt2fhbzOlN6fIsyJuyFhu+Zp1fKWS0PkIkoXSSoP0cYi++jH3y8WY9L5+/aBZo0bRb72tXE0RNAwiSzBTJo0SYTZz5s3D7bZZhvx2a233irqmb3wwguw/fbbl6KdDZ60Dlr1QiBKeNILM9uc9uh48f85j38Cb1yyF5RbQ7RhIwpE9aOuW5iTdtJJQetbxGRJqNgTL23W+6TGnWL7/NEPfCD+b1bTCM7fr09RJjMbleJUHdmH6Je//KXIOTRr1iz45JNPxN/MmTNFtuozzzyzNK2sAFLbwdLarhI6zqqOvfbtlqxaD2nwIVpfQrte0v5UYZMIVd8n41Rd+vDmNGqewrScUXlpwlz41T/Gw/I1yfX5cimIXPcrilN/aXyI4u/n6x9WFH38jGWboFO1vaEff78ITn/0I/jux5XQ4DVEn332GYwfPx7at2+f/wxf33TTTbDLLrsk3b6KIb0mM0g/iuNv0uec/rB71BCViqQL3SomM+Px3N+nrVDvC5/PgetfmAQPnLAT7NK7A6SFpCMlz33iE/F/745fwxUH94OGiiIEZerGh0jNVJ2pcwFTSXWRyRStITr6gTHi/7lL18DLF+4BDVpDtPXWW8P8+fMDny9YsEDkKGJiks55t36YzKB0JrO0CoSr1hU0RBvoiJowpfTpMfX5xOvoJSxg6Zz/r09FRuPTHvkIyg11/wgTPOPyw4q1UN9x9asoWp+kHPaTDlwoTiACI3EENay1WN/wEoiWLVuW/7v55pvhggsugGeeeUaYzfAPX1900UXCl4iJR6YetWvstwvhtpFfKY695SRpmc0/MWP57trKdYX0COtLKLUlnyPFbcrxWa3Gb3/prlPS0XGpPe9Mw3aqViO+/E1mRSVmjHDMUuBjps7EaFapIl/LbjJr166dcnL4gP385z/PfyYfuEMPPVREoDENRxNjatcxD30o/u/Qsgn8co8toNyUMndNWjVEtMp9aTVEyU6sYaYczkMUn6oYfnANZZyKgnOJE0HISS4xo/8xS5HyYIOPhijjft9Q8BKI3nrrrdK3pMJJawdzTYLTU+I0pzjOJj1pQzpZSQSi9aX0IaqNN7H6JAkM9yFK9l6WcjJP21q4VNF1Se4rjRqEKEJOYhqihBZ0ca+nzzln9FpmHj0hhbc3GYFor73KE1pcSaR14nU9oGnp8CUN1faMSKlrVq4lPkR1FGWWdCmNMA1REpqN+uAPlhTWCTHBjppkn0/J8BFbOCmJD1EZBhUvH6KM+31DIbJTNVMa0qqKrg+TSCZxrULSfjPJgu2jPkR1FWWWtDnSt3THhFlLYPdb34SXJ84t6til9M9Ig7ajqg40RImOU+W/ZEVpfZIStpO6V3EvJx0/Mp4tyNTP2xsKC0RpQXkQ0zMLp1VQs1EXk3bhu7rj85lL4A8vTxa+QxhhRs/TJ7FaMhNEHfgQKYkgsxuc+djHMGvxapEIM62FM9M2+Ccddp/fF9R/XNcjSv6mpJ4N6gJYZ9XuSYelecxqvTVEDaEnBOFaGylBH7hTsOAMN5mlZBpI2uen3GGwJg6/733xP0b2nbPPlsp3deVUnUweIvdq2LRaXr1+YzI+RPVB3VkMVXVghmnglzBKQEVSz0ZiGumqBDREGT8fooYKa4hSQhoceU0Pg2slUFdC26p1G2Dq/OWefimZVFd4L5bJc5cFhLRSOlUn4Seh3BO6C8P+1IiXJO5laUxHAdKxNih55FKSz0O5FlSuc4gSVZmUw35dpYawQRdUtb4aImiYRBaIrr32Wvj+++9L05oKRi0/UZ7uZnoY0rCoPuTu9+CAO0bDu9N+qJPB37cUSDkGL+wbev8opVO1mkW3+BBwRR4yHi9ZjVTSiSXTLA8pAkaJFlgN1FISS4COq4Wbv2wNPD72e7HQK+YZSwqaxyxj2Ub/3Od00+BXV3KB6H//+x9sueWWsN9++8ETTzwBa9fW/8ylaaCuBm4XdDLyWU3VVXeX4f1YTync7l88yuVP2QSA9yggENVZ6Y6YGqII5oH1ZHZI5qzqyIcoxuC/dPV6pSZdkpRK65Dk2JTG+VL1vQrzIYondR7z5zFw5bNfwI0vTQ7spxxmXaohythMZhWiIqqOU8vso48+EgVeL7zwQujatSucffbZ4jMmfU6QxQ52adAQhea2oa+TMLN4Zo4txwoIZR/9FKkQkcaJ1bbqDivuKr8v5p6anLTTwJJV62Dg9a/Bbre8WZL9h1gm4+83wX2lUB6K5IQfN4HrdwuzJS1e/WJe8JhQ9yZIanLP2ExmgffpeZbK7kM0aNAguPvuu2HOnDnw8MMPi/Idu+22m6h4f9ddd8HSpUuTb2mDp25WspE1RCmaRBpV15VTtfl1Gq4NHlM/bCmjzJIQ1G3Op6bd+WTNLYX5s1iiysafzFgs/sc6aKVAnWSTO/Fi90SfmXJpiNJSy0yWPip3HiJqcq+1aojc7+uLwFtSp2rsEOvXr4d169aJ11j1/t5774UePXrAU089lVwrK4BUmMyMTtWQGg1JtfV4SfudlMbcUCqTWSk1REn49EQxQygaIqg/DvJpGPxtSS+T1RAVt7OUPU5FCZJqFvfoJ7Y299wqz1UR16cqkSgzsKB+kfLbWLcC0ccffwznnXcedOvWDS6++GKhMZo8eTK88847MG3aNLjppptEAVjGn6T9YOJgsl+nKQ+RTSBSfX6Sba9TQwR1D7anvvkQ2U1mwWdAEcByE04xZ6dGAkFqKEmElUXwTPK0i328aF9IS9qOuCHwxea4kgsZOu6Wo4/SBVWtp4aovvqIJS4Q9e/fH4YMGQLTp08X5rKZM2fCLbfcAltttVV+m1/84hfwww/miCDGDO1vDSHK7K/vfiuyC89eshqSolG1hw9RAseps1DtGCtvHDz1e1LKKLMo2h0bthVwJsRkW9dZx3FiuPLZiTAy59sRhcja0tLKQ4n71Zn2G4c0CaU6t7zyFRz9wJhYtczijNnyJ6Uyb/p2Px+Te0Z/n6KFclkFIqxy/91338FLL70ERxxxBDRq1CiwTadOnaA2LRnt6gnlqHjs40MUVzjDCArMLvzHkV9BUljkoRKUl6j7m+E7UWTNmrrJrG40RJEuhSVJoCtnlD4wJ30vwwbxJz+aCY+PnQFn/fNjqI/YfFqS7B3FLtbSpHHWefCdb5T3YU1NKqGimqk6/n6q6lBDlClpi+pRpuqrr766NC2pcNSHq1waIsNxHU3xWRQnOVdX2zRECfuJ+DtVQ6LCqE0DFsxDBHWWqTp5HyL7drpAlExmbLo/9w4XLFsT+zhpGPqt5sgE+2mxfZ7+Pu0mlSgms2IEvXKM/ZmIPkQZ7YsUy7V1KxBt3LgRHn30URg1ahQsWLAgoAl6883ShJE2dNLg6xBVQ+TjA1BVxz5ESSgmo9QzSoraSCYzt2Ylbc7+tpW0vruNAek5WeE2rPnF9NUUWMysmZNrU2UyK+yhXPKQr9ARpZZZYsVd62jsp8fxijID/X14Q9Mu8CYiEGHuIRSIDjnkENh+++3rZTbKNJJ0+YnkBKLi9plk92hkzUOUrHkgaQHLB1+hBk1m5SrdkUlYqJL3bcHyNfDKxHmw19abmH+XScqMFLJxHY5ldNzENiYxjto0REn2DtvYNHfpanj9y/lw9I6bQcum9mlFmXBTPndEqWVWVHHXhDXcPtDjKHmIwLJ98muVhiEQPfnkk/D000/DwQcfXPTBR48eDX/84x9F1NrcuXPh2WefFX5JCIbzX3XVVfDyyy/Dt99+C23btoXhw4cLB+7u3bvn97Fo0SI4//zz4YUXXoDq6mo4+uijRS6kVq1a5beZMGECnHvuuSJ55CabbCK2v+yyyyBNJF2yIA6m1UGxD2iiGiIfk1kCwqSv/0Uxx9J/axJGjW2rDd6T0hZ3jXm+ViGI7i/7/0kPj4Ov5i2HnXu1V3eRwL20aU2Sp6qoa9yoqoQ+RHVgMjvivvdh/rK1MHnucrj5qP7W36fBtdT3ckSrZVb+YtJR5EvaXiU7fMa8fUNNxFi0U3WTJk2UiLJiWLlyJQwcOBDuu+++wHerVq2CTz75RPgs4f///e9/YcqUKXDYYYcp2x1//PEwadIkeP311+HFF18UQtaZZ56Z/37ZsmVwwAEHQK9evYTghQLYddddBw899BCkiTRk1I2qIfJ5AJPUIHq42JRXCCjiWvum7MfBU28SrUVUytxUUQQKm++OSXOBwhAy/vtsskL9+2LOrj4M5L7CcBiZEuZzCtsXCkPIO1MWpN5k5kvYVYtrltSHRDUzfnwipTEg7fWpdg/ax+l/qupIQ/TrX/9aaGAwAWOxk91BBx0k/kygRgiFHAoec9ddd4UZM2ZAz549Re6jkSNHCs3PzjvvLLa55557hPbqT3/6k9AkPf744yJx5N/+9jchzGHJESw/cvvttyuCU7mhE0+myKR9jW0pneNoiLTPotbaqROTWcJagFLb9NG8cPqj4+OZzIy1zEoZdh9v9WqPwPG/tokk2YyQPK9cPkQ+fXbZmvXw4NvfwGE7dIe+XduYN7I8B0lqZcL2ZdPiIt/9uBLuf/trKDe6RtlaEig07D6eQITjs8xSXcx+ikHRECk+RGAkYDHzaGbaBV4TkWfO9957TwgZWOD10EMPhaOOOkr5KyVYEgQ7b7t27cT7MWPGiNdSGELQrIams7Fjx+a32XPPPYUwJDnwwAOFtmnxYnVFSsGitahdon91ZzKL91CMuHM0DP7DKOVhi9aG4GcBx1fLCg8jdE7461gY+YVagLXY5GtUALMNtkkLML5Ra3EPhSkJvpy7LJ5TtSnKLPfBqMnz4bi/fAizFmdrJSVB3PBtmzNzlIjAxM2fJZxrovZyOgf7tOvmlyfD/W9/AyPufNe6Db2eNhkZr+mEWUtgxdpspfWkgwzs2eQBjrz/fXh6/Cyyr/JTTBRpXIG9qbZgLUfKlYxNQwS+YfdpuHspEIhQADnyyCNhr732EvmGUJND/0rFmjVr4PLLLxdJH9u0ya6Q5s2bB507d1a2q6mpgQ4dOojv5DZdunRRtpHv5TYmbr75ZuW8sBxJKYnk/Gn5/bQFK2DRynXw7Y8rShZlZpu4b3jxS3jv6x/hrH9+kqiGiK5erFFmltfluhdhrFgTnIy8fYgMmaqlD8Dpfx8PH3yzEH737BcJtTR+eQLbqle5V3UwptpMdybK5eNrKpmjM3F2eH1IuhtTkVzktS/nw2H3vg+H3/ued/tckYFRzNqLV62377hMuITu8FpmdNsM/LB8LTzy/nRYqp+nRpMaTSAy3Cu8f1PnL4+0KIjrQ0Q1zLU2QVov3VH+W5cOk9kjjzwCdQ06WGNCSOwcDzzwQJ0c84orroBLLrkk/x41RKUUihSTWYzelkQH9al2b3tgUBAzUewcQwd222CbdB4P3Ydo4Yq10KJJDTRvoiUhjXmoGsOJ+ApEuJ1+inrpjmLy6QSOF/Pa2syYUfaRhPmg1MJtfJNZVeJmEus1J9s89+ls8f83P6wsiZbNpSEK7hfKTjHFm3Vz8sPvTRfJHXGBcuaeW1p/p7s0mO7VDS9Mgr+P+R4uH9EXzt7bvq+4ZCL6IGYCGqJwUh5EmHxx17oUhr7//nvhUyS1Q0jXrl1FLiTKhg0bROQZfie3mT9/vrKNfC+3MdG0aVNxLPpXSqiKO874qJqyqkpW7V45jpdTNRQF9a0pR+mOhSvXwU43vgG7/uENSAqT6c9fQ4QCUcZZuiPRvDMxBQqbD1EUh3X5dXHRfMo7KBXFmIYzHhZun0tA77uqISouRYPq35iclq1cZhc1TYe9DZmIWtDla7KaoWWrN3hriFA7RG+J3CcKQ8itIZn+4z4bqsksPA9RbUNVCRWrIUKeeeYZEXqPzs3osEzBiLCkhSEsGPvWW29Bx44dle+HDh0KS5YsEdFjO+20Uz4xJCaLHDx4cH6bK6+8UuyrcePG4jMUrLbZZhto314N8y0nqto0xu8jCipxq93TgdbHqd61YlyzfiM0axws/WLTfvgkZkzah2hJTv293GDmiotJQ+TrVG2qZaZPckmOXXH9G+y5h/z3l7SDfJhDcDFCTTGCv4/JzOdSZDyEmI0xPKyjPF9V9UxD5DqfKLXMcFP5PuxZpgLR2g21RWkxk8ge75WpGvTfhx84jcV7E9cQ3X333XDqqacKP5xPP/1URH2hoIK5gmwRYzZWrFghIr7wD8GCsfgaBS0UYH7605/C+PHjhRM3ZshGnx/8k0JYv379YMSIEXDGGWfAuHHj4P3334fzzjsPjj322HyuouOOO044VJ9++ukiPP+pp54SUXLUHJYG4oY3J2oy8/Ahsj0ItuPbxse/jP4W+l49UiRzc+FXuDRpk5nfPjIJaoh8jykSM+oaIs2DNsl5Jm4EjPq7eIkeExFuLW1Kk4q/JCYzywIrTlbzKH1Adu2Zi1bB9wvdZrmop/3F7KWw2GKaL4mAF0Fgp5rbMKGTmsxwUVhMgse4C2H6O2oyq/WUiBqqwiiyQHT//feLHD4Y3o6CBiY4RI3LBRdcIKLAooDCzqBBg8QfgkIKvr7mmmtg9uzZ8Pzzz8OsWbNghx12gG7duuX/Pvjgg/w+UFjq27cv7LfffiLcfvfdd1dyDKFD9GuvvSaELdQiYdoA3H+aQu71ASzOAJlELhOjyazo45if0pteniz+/82/P/duU8ZngIPiKbV62JQ+IFJiRl1DFKgBllz7TQ6fSQkiYbuTXxdzNoowFrItvStRJ6aoshTV2iR3v6gmyCyQxhknfJ5BqsXF7TFR46H3vOeMeI1yjT+buQR+cs97MPjmUZAktYk5VRf2FSZ00r6yZsNGo3mzWePqGO3374WKNpEIcBnr9tH7jY+A9tKEufCrf4wXaSXqpckMtTfDhg0Tr5s3bw7Ll2eTqp144okwZMgQkSvIl7333tv5UPg8MBhR9sQTTzi3GTBgALz7rj1ctSHkIUoi4ZlJda8PGFGdbIv2IfJIGpZ02GqpVz9FOVWbfIj0GOsE2x9FoPDxIVKFV/cek8lUHU/wwPtREyF9dNScbKUItab7UZ/ljNUBP+m2okCEQhD63iEr126AJjVNzO2N0IbRU38Q/8dNKWLDrSByt1AvQyOvU9izTH+3Zn2t9oxl37Rp1hjWrM8mu3QRt+/QNviMsZkSaYjOfSLrYtO709dwxUH9oN5piNARGZ2WEUyO+OGHH4rXqIEpV4blhoAtTNaXpJPYFdpi38YnH2DYNGE61yWr1uU1E3S1Zdc0qANTsZTat6FRkU7VwWr36gdJNl/1wfHfs91MZhaUTCQu3GaS9espBpsDdDGoq37zdfYzQcfXEqJcSK8dLQvh2m+5cAnJUXzcomiI6H6FyYyOcbnL1bZ51t81jPgFl6OVjcpkYhR3jdCehSuKN4WWRSDad999hSkLQV+iiy++GPbff3845phjRH4iJgmTWXG/j4vZqdquIfJ5GKOE4SKT5y6DHW54HU559KPs8SJmUU262n0pBnCjQOTrt2TKQ1RKk5lmFvDF5igaxbyZxFlE8X+hXTUpISVpzZXvPnUzF74/+W/j4JMZS0qanFOazHxCuqP1J/9tQ/dl2K+P/2Twe7qfQjqMjSFaOPqsB3yIICgQ4b6/XrBC+FC52hA7ysxD4M0Efg8NksgmM/TPwSguBAumokM1+vRgjbFf/epXpWhjRaCaoqL/PpGIHI9aZlF9SsLqj+mmhn9++L2iIlcqMXuuXorFdi1x4IgVlpmghggJc6oulQ9RNKdqc3uUfYROOMWfh+7n4UvpBSLza+v2PvsE+zX/+PvF8E7umYqK7V7aAgbotXOVlUlDtmM5hpkLW/v9VvyelNTZENFkZgq7pwLR8rUbYPjt74jXn1y9P3Ro2cQS9RvSYKUNUTVEGf+d59tjb9DaDRthwqylqROwIo/vWBYD/yQY0YV/THHQcSPORBDX10NtQ/gqSVH1e/kQuZ/SsAfNp6SJaoZJQDC07AKPTwevuMcqViDSt0STGZ14khxc4gol1kzVUTREmeLPJ27pkagCUVRfuSiOzlgDbNnq9RHNIORYRQp3Nn8TE9i1FQ2RSyCKoiFKskCtQRj10Y6HaU8LPkS1/iazDRvV42SCkWiLiDkJ6yBSgSh+HiKzGTXjqyGC4rjsmQnwv8/mQNqoiVtGY8KECSIpotQWSfRq9IwfxRb4S6JAYNQ8RKVYROsTi486lz6dSTTJtg889yRCs01mxEgCUcBkVivymRS+h8SIoh2g0E0xBHvS7GVw5I6bRspDlIhTNXkd1am6tAKR3/OKphKpHQjD5UPUOIKDeDH+TngUVSCyb58Gn1N5bj7+k7bfyte+GiJ6fdZqJjP5mo7FC1fanavjjsE+STydPkRF3rs0CkOxBCKsLn/SSSfBjz/+aNQGYL4gJjo+nTKpBHTWfXhkqvbJmUH3EzZRZEKSefloPqJMsj7YzgsHOirMZMoQZWa6v7hqpwJRsj5E/gIwXrc/vTYFendsqVxDWd9uKWo5FOHVvcNEhNsIKilFa1Piydo3Gd/7X/8Yc5+qJlcvFxGFKNdF+BB5apTK51Md1Br6lC1yfS98+3IfRIkyw+dWqVKQ319hmx+Wr0veqdq26ASfX6SjMG8piPyUnH/++fCzn/0M5s6dK7RD9I+FoXJmqoaSaIgCPkSKWt4uOMR1qnbty2XKMr2OizV9vUiznymrU7Voh7YtChbonClJMjQ5ig8ROuze99Y3cOkzE4z36sNvF8aKMivGXKL6EPmv3CNriCImu1DNNslrUfRzKea5qI1wXYQPERGC1iXkQ5SkfGrqE3FMZnr0ZJwos2xtwuAzRnfx4wqXhijevGFzwK+1mcwCGiJokEQWiLAOGCZQ1CvIM8URpV5QKQQqXx8iH5NZMTmRdPkp6sOaxHNq07DhQFdbKoEoQn4YfUucc6iGaDURjoolSg6apasLK1nTdcK8Pj73Spp3Ei/dEWGCK7VTta/WJZOA8Iev42SojuNDJExmyvaOsPsyTaqqY3/uP5PJLMJ+VB8ifw0RbmuyDqiO1xuLFqyTLt0BCeuI0lIINrJAhOU03n777dK0poIp1jdHTxIWB59ICx8BJVLkg7YLfXPqlOnj8JfEysWqIUI/gQQET9M1iaIh0q8DvseoDTqAJuWfEaWsAHWgN21Z06ja617V5II28hqiTN0IdPQe1KkPkUOhF+XcbX4h+LIYAS9SlJkWdu8SxMrlQ2RKJRHLqVoLhMnE8CESpjbDM0Z34fLDiqsdry1SQ9RQiexDhJmo0WSGmZ/79++fL5gqwRIeTDmcqs2vo2BazLmizGzNpINL1Ay+wTZRQc+MOnAV/+Ta9pA1PRS9e+M+4iY9zL5Hk5marwlNFU1r3IVzfYhSeJKaR03n07gaNUTh54kaInQ3SiTsnrwOaz/t/9FNZqV53uM6susmszgZqk37CpvsUftJt3eazMowyb41ZQF8QPyy5OLRuBgMaZ8+FvpGmenaQZPWlD4n6qIwmYU03VSJMgPb9voiLPwYUYb+tAhckQWif/3rX6I2WLNmzYSmiE54+JoFovI4VftI+WH4DAo+fhaKU3XIMfU96AKUV6ZqR3vjYFPz6+rtJK9zFJOGyYyJ0SqUNeuSEYii5MeqCjkf1BCp6SEyodXAi0UtIZIp6aIkWrvMxy1qn476aK7w99D9RtCciUzVSh6iZIS9JFi0ch2c+shHWhty/xvdBSLcQ5qHKET41K+nkuw2d1B6bei9058r1WQGCUSZZSxt1t5DwyTyyHPllVfC9ddfLwq5fvfdd6Jkh/zDivdMdLATqqr9TEkH/uKizOhr83GUhzbBWmbWASrByQWvwbQFK4zf6c6psQUiD18t5+8zarQa/pT6ECXpRxTVXBKm+VH2YNmdjIgyHe6xMd/BQXe9C/OWrnEeK38Iw+o7CU1IMJqyqgjhxbFdlFW/oiFSv4vqaI+V6kfcORqe/XRWaCCFfh28EzPG1GjEZfGqYLSWyURVOGamJD5EerZ/U64sW+oCXfsUxaStkLGlNoGwzZ3bUeQjMWXecvh8ZvQM6fVCIFq3bp0o00GTMzLF4YrkqlOTmaGXm8wzYQ+FMuGHrrLcG6hJwyz7MITRxuXbH1fC8jUbrNcnSk4WG6afRdmXTOEvnbOzJjNNQ5SYQOQ/4IYNCcI3yDD4B7ZzOFVf879JorzLPz78DnyIIsBGjTIrJnhA9z/xOUYYGcezHFVDdPX/JsFX85bDxU99Hnpd1KhS9dguk1mkx6dE2iS5W58cbGF+m74+RHrUntoX1P/F/qiGSNM+RVmwFOdDlFHfe460+LsD7xwNh9/3vqhRmXYiSzUnn3wyPPXUU6VpTYWiDzLxirsG1a6R9xExysw2aUStd+bCpM7F/x99fzp8OmNxrt3JjZuf5VYynVo1NbZFt9kXe6/imMweGv2toiHC610qDZFq2iku9FxEmSn7Nu+wsXSqltsZtmnfwlxBXUc3KWAfnzhrqVFAiCrsKpNoEU7VzrD7KDulmhzt/FyCiYlVazeYo8wM/jH0s0ZCQ2SfwNXmlkbIiYI8tThaW/3ZKITM+/9O1zrTMU5C+6reL6PkCbO1wS8PUQwNEajawvnL7OkD0kJkHyLMNXTbbbfBq6++CgMGDAg4Vd9+++1Jtq8iCDouR99HEhmkTZOA3vF98tIkmc3a5EOEQst1L3wpXj937m5ek6wvUrW7Y8928NqX85Xv9NVctk04CUQ7hnHwjXGh8hoiLew+SYFIdWp3tzHMaoSmMB+fh4LJzH68jq2axNIQ3f3mNLjzjWlw5KBN4Y5jdihKQ1RMV3OZt+Ieg94fXQ7R+0d235h5vcqaT8jUBpO/8IaAyQwSL91RKnyFGNdv824PuVMN8yGyZbjO7kd+DsYCuUEfoujCjL7/eJmqwQvfxTEK7LeO/Eos8i7Yr09RiUTrVCCaOHEiDBo0SLz+4osvlO+KjSiqVAIaohgrJ3WiiTfSmJ5jtw+RZT8RHI8zYaU7DD5E1KR131tfw8922sy6v6jIJGi9OrYIfGdKcIefmfIKuTBdtzh5YtBJWd6jgMls3UYRin/EfR/AgE3bwq0/HRB5/9m2+gu3YfcaBzsf86Y0mbl259vFdQEM+wvy7Kez8wIRXr8THh4L73+9ML+tzwRZlMnMc6KIm7xQF7BNPkTYd+W11qFdWskrZJCIaA4tfH7pNu5q9+WXiDKuyM+Q9unmKnmdovgQobyoZqoOCmgbnBoi//ba+pXu55UxCMpx5iTdwd7VPBy/Hnj7G/H6/H37QLmILBC99dZbpWlJBaPbr+OME3FVp8o+PCItfCT+YiLmdLMLVb+b7P1YDkLVEEFRyLabVih6REgSK8ti9lPwITJriMZNXyT8bfDvlqP7x1qwqGaBEOE25BRqomqI8hsGt/Ht46oAZv7RrMWrFWEI8QlT31iUUzX4CUSRNETRfIhQCLcFIlIhXx9b9AlTF+apzJSUU3WpkOfmox23/Tb7urB4NAmN6u/UfZhSWygaIsWp2j7+xE3MaBKyGlWFaIg8BSSfKGG9n5hKG9UV7BmdAnRBJM7kmITfjtGxUOv4PiazJMOXTQ+Ubl9PQjumH8NYb0xLzCg+iyF9mq5JnP2oPkSqhggH0dbNCubs5cQnJHZbQ5oYdg7oX6L625u3b5ITiJzOxp7XS5l8auOp+n32HRXfxIxJhcebNESu6+vKKaXvWw98oNfOZTKraw2RaWww+ez43l99seAbZeYKu5cvbT5EuvCpaOMj9CO6f5cZrliTmW8iW9kGHNKoubauYYEoBejPT5xxwlbYsfjSHfZt7CYziN0Wl8lMnmPQR4FqAYpDnl8jQ8iUKTFjnNpmpoHLNYjahDy5is+azILhuLTC+Q/L4zk0RjF/hl0LGokj3mfim8x8+5X+XPjeLa8oM6oh8txvIc8M+SwBwS+gdfI0mXkJRNpm+gSqmrUx8ICYzJxO1f6Yto3qd2eSzUxa58J3mYiJGaWGKOQ5CUSZBZ8xWy6nYAAOeR3hitp8iBBT88P2jOPwn9/5Br6csyx0QWu6b1Lok24A5YIFohTgUoP6oqy8Y0oFPnmI1NVMBl7/cj68N+1H1aGzCKdqfWIxRUAoOTo26DmczPvF33y9YHnoICfHHpNvhR5lFtcZOqrJzCo4KCazjU4H8LgCkY/PWP77kA18r1XBZOYQFDwvewQFl0LUsPswVq3bAGf/82PY4YbX4NsfVngvYCIJDZloJjOXRsFmMhP7dmkphEAEflFmMU08yNPjZ8LAG16Dj75blMiCz3QtMlGdqj01REGTmXsbVUNkz0MUZShSfIg8fFgzIW4df3tvOtz8yldw8N3v5j+r0p55PM5X85aJZ8DqqlBG7RDCAlEK0AecOAJNlGgg6z68VKUZZZI947HxwiE1atSC7/d0tWmKCAmYzCznfuWzE2H47aPhr+9Odx5PPsDGAqwGp+o4ZhPTdXZFGtkmTNnGbKbq4EBJjxNXIIqiefRxJtXNm6ZJMV/cNcY10aFb2Y4X16dLNf+5ueuNafDKF/Ng2ZoNYhHh40sV9l1gW9o27V6sNXQwl0aPdv+AyUz7naoFUJ/ZUkWZXfbMBBFcgUKmL6Z76i7dkYlgMqM+RP5CoC1TNd2OpkxwaXOiCJiuRzXjoSHSx9lPZ5gTL9JrgX5CVz37hXgGbNtFDVBJGhaIGkiUWRI+CX55iMyZX5VIiJiOfiaTGVW5m1ZgOFj4ZP198qOZ4v8735ga34fIEmUWFfOKMLo2RGpS8Lf6yhFX5nSf8TVE/sJtqAYJJw3NvGn6jSzuWtgu+mRla7/pV6YJzMepOopDKyY5lGDaCN+cR5HGArrPTOlMZjSqLOhDpGqI1jsGo7imfR+zqwlzlm17W6L0dxo+77qu+lf4Xk3wGGwP7YsBB/a4GqKoQnjGvT+b4Ktn3LbFHshzLFe4vSTy0Xv27AknnXQSPPzww/DNN9kwOaY4gmYYv9/RUGvdwS9WOzwcC22rSlskRHjYvXs1ZUrM6NIQhWbGdn+dP57NqToJ86ZpwIwzKcpJK+u/EGwrFXB/yKUTiN7WeD4Vxu9rdQ2R+bwb52qZuY7nK4j6OPibTSlRBSL3thgNqQpEfseK0r1ULS0k51Tt0AiJ99qzTwUkt8kMYhFFM+cbNOLjPxn4re5DlM9DZB/ATeOHKWs53YxeT1cS30hh984FWCZycVdT4k+9jAsKx7bkrQUfonqmIfrDH/4gCrveeuut0KdPH+jRoweccMIJ8Je//AWmTZtWmlY2cIJmmPCO/eKEOdD36pHwdE7zEcdvZ+GKtXDiw2Phhc/n5PYR3EZvis0PhK4QikkBQMN58bemOjuqQKQ+qlG1a/8Y851S/TqvITKF3WtaF/FZOX2IcoMHtiGQL0rzd/oxEZMZFGcyw3bSfUNQwFRMZo7dxfEhypo1/Fa3Pomdowj+y9YUBKK5S9fAvKWrlXbZyJSwuKtTQ0S6f1iqCf066AsWG3HMzabjF+cjCQnVMvPVEAWvnTkxY+GzdU4NUfBcitYQQfj2GV8Nka7psmmI8gvR8mqIIuchQuEH/5C5c+fCO++8Ay+++CKcc845UFtbKzJZM8WazMI574lPxf+X/WcC/HyXHrHyUfzptSnw7rQfxd+hA7t72dFtqn6bnTtq7hr6vIjVpkHQUlTyG1BD5L9Sp9+P/XahqNmEfHfLIUrbrWH3uiYmKZNZhEE06FQdzKCttzWuhihKCgWfKDR98Det2mXYvZyQopoYKYpGytYuk8nMQ02rC1sulhENEfLdwlWewnCUVT9ECrv3NZllwjREAR+ioObYJ2AjrrDniyvXUBImM7m924co2CbT2K04I9OxVRM8ooy1atujjTcZ/X1A4A7+pioQLYcaIjMbUqIhiiwQIatWrYL33nsP3n77bZGo8dNPP4Xtt98e9t577+RbWJFO1cVNsv4aonWRTQe6Tbjw2iwQxVWLy2Prg6343yKIieNF2P/3iwqTkkSeks2pumQmszgaIlnzS/NDEO3SBtokoszCzjQ8/4q6k4zlN4XiriH78kAVls0/2pCEySzE9LtsddaRtHXTGpETiibSTMpk5hSIQmq36dD+r/804ENENsiauanJrNZhroqHanbNFOkSEF9g0zXhPhoik7bN9IwpJjNqkszEN9uqv7N/l/FYgOib2MyEtO3YB20+RHIuKWdSRiSyfmrYsGHQsWNH+O1vfwtr1qwR/6OmCIWiO+64ozStbODofSmOEBF3pWDbR74t2nubOhzD311tWbF2Axx017tw+2tTvNuTDeENPvB64rcoWgwFw6ZyELSF3ZfKZFZMlJk+qMp20bYtWaVqKHyJ4iDvY1KjmwgNkUkgIoKe+N94LL/r7mNSMGqIImaqdimUMEeUFEg6tc4WDV5L/P/cpsEoWhRz26iG6JRhvaF1s+w6GDOY/+7ZiTB/2Rqnhkg3h+iTup5Xx1TLLI6f1nc/roS3piyI/DsbrtD6OAKbKpgV9oECtu1ZCZoyzQss2zhLhU29DdH6iluADzWZae+pWS9PVdA53OZD5KoQkGoN0VdffQUtW7aEvn37ir9+/fpB+/btS9O6CiGYWyL6PmILBZZ92NpiK9yoPLTaygl5Yuz3+TISlxywTf77wBFpDSXNQbOQmFHdv5q8sTjVuysxo8k0Feda1yYUZZb3ITKEk+MlofvUTTaxfIhCrEhheYaC7TT7EDXJOVW7piTfhJg+phaT8BM57N6xvXSoRgG2XYts9vA1RENk++3lz0yAp8ZnfQR9UDIga/uUExa2QQrSZ/3zE/H/9wtXwuO/HGIViII5rmpDTGbBWmZxTFJ7/+lt8f8zZw21asCjPH0uDVFUMzb9bfb3asAA/tRk/cloz1Cwjpj6vx6p54oyi6tN9PkuE7I/mw+REnaPTtVWH6La+hl2v3DhQnjzzTdhyJAhouL9brvtBptuuikcd9xxwrGaqT+JGfXO6WUyU1YuGaNK3pR5Vc+T44Mu7JhWT/qxo+4/SoIwbEtwdRznuHZBLF6maoMqXtNmoZkmljbLUHgyrpAioszIe5Opz+RUbRoiffu46ucRJerPZ99Bwd/lUN2mWU3eP4pqiEzHxwkmijAUaFtAQ7Qxb5LAEiqUCbOWBn5PF+q6/5GrfIQeGYo+fvo2+TZ63kS9fXHD7l1O1T7a8bBFqKINsawewpzd824BdJyl2veARsm+7ySjzCDwmfs8TD5ErrD7vMmsvoXdYxTQgAED4IILLoBnnnkGXnnlFdh///3h3//+N5x11lmlaWUDJ5gpND0aomCGUvO+7T5EuRWY7aDaF1SlqkdKZTzLErgedkXNbWiVvAZGHyJt0EvWZObXZgq1tweyBxu0WctJpFOcthYbZUYdTxF8vcFpMrP3Hd+s134+RCaH4+xnr02aB7/8+3hYvHJdsA103xCuIWrbvHFe+0X7rEswjwI9PZvJDPu1T60o+hzqZWH0fevaYVUrkIl9PhJaggaJuyuzU7VdgxV2HF3YtgWcKG0IWcwZq92XQEPkNtNCgIA4pH0gBV8dVSCqVTSPJk1ZuTNVRzaZffLJJ8KZGv/QsXr58uXQv39/OP/882GvvfYqTSsbOK7cEmHI/lVMqLutHdm2hG/jzEOUe07iyGg4eKyn+8oA3P76VHhi7IwQgSio/TLhmoisPkQlcqr2XbEN3rwDjJ2+KCC06WYfPQOunJjbtWhSviiz2mD1eZNgI4WGqIO2CV0A8zWZ4cQzc9EqOPMf2UzIt706BW4+qr/aBiV/jL0NS1cRgSi3AqY5xKKmYbChlM+xTLwmDZHpUaHHN5WFsb3Ha2LyfylGQ4RaA7pl3ALOLj8hn8Wg63vdnG4bJwPabcPYld3Or9p97DxEzu8ywc+0j/Qt6DhNUaPM7EeVv29U3wSiXXfdFQYNGiSEnzPOOAP23HNPaNu2bWlaVyHoHSVKxy5kK47+e93BzWQm8NWIKI6VhofU2qYqt88H9UfA3C0yZ5JrUMHfVXuU23RVuLYVd3VNBr6YLoXL3EQPQQcMmrPDZMbQhQ0Z6VQqU6yPz4VigrM6VReK1srfmfaVlEBn0lLd+cY0uP6FL/Pvad4g0/5kWy/416fw44q18I/TB+fvVd5kRjRESpSZ0WRXXL/S9ynNLtivfSYd2h/150t3BNYLeNL3eYHIdA9r/Z5N3dGWnhoK+Qfc8Q78+1fDoG3OPytSJn7p4xTL9E3bq/lwWe6ffhloP8h+L9sTvIZGDZFi0nZz96hpYvz891lDI0c2ZgKWAgg1menPt0jMGKYhqm9O1YsWLYI2bdqUpjUVSjDs3v+3csVJH6C4KygftbHPRGRKEmltU8Y1qKvC4sq15hxXgUHF0baMZ6kSU/inMZorlr9XUOPj8lmR1w6bRCczNTQ6aNbQ20qzJcdpq2zH6nUboXmTRoFtwwKzTPm2TMJIU5mp2uCsamqXC0Wz4Nku07UynVsg7Lo2A8/nBPYvZi+FgT3aKftCgUhqZ1QNkV+bwsg42rtG+hA1QpOZ+p1pkqLPhm4yC0SdKWOPnkPHLnC4zIz0mUaTmTIuaPd+6vwV8OgH38GFw/sE9oP3Ae/Jeftu5dQQuRyu/X2ICt/ZchHp91Ufu0w+RGomcHvEX1h7UbuO/O3975yDZMYkEAW20QVug0CktS8bZWZGnne9y0MkhaGPP/4YJk+eLF5vu+22sOOOOybfugrBlX00jELOFnVQKpXJzKdtpknUt0m6Q7aPXV5X6fuev2kzV2JGvT6Y3l5f5DHuPW4QfL9wlRCIXPvJkImLTl60jYVMr1XitdCuGUxmUdH9JCbOWgpHPfA+nL33VnDJ/lur23r5EGmTp+FmtWrWmKy67fuK059M+CRhDNPi4HlRfxBa509q5to0a5wXJsLyEMXTEJFz1X6PQmw+yszDnkwFKv35CmqMVB8itZZZxrssEIUKjKg1CDMN2e7hT+55L+8/N2SLjoY25MYno8nM3j5dUNf7cqImM4cPUZRM8vl9aKlKwtroZTKzRGrqhX7Dul69y1S9YMECOOaYY0SG6nbtsiugJUuWwD777ANPPvkkbLLJJqVoZ4NGl/qLN5nFjDLzsKP7DNR0QAwzmemrRLp73URlG/QCg4pz+WM+Vv4zhw+RnhdJtjEq8lKgg6F0MnSbzIiGiDSLtlGuIvEzHDSNJrM4TtWaQDFpzlIx+H0+c0n0KDOcRDxKd7TMaZ9ExJJln94+RNY30e5hmPYUX9NISlrRu2AyqxEV2k1mpkCbnCYNjNapcmuIdIEoJ2DUGJyqTZOUkvxUe77093reMWUSlFFmJhWbUyCyj4mmS2MzxUgmzVkGu27ewdoGs7uAfX/BhaKfhkj/ncncT//XfxOMSKb79nso8FI5hT3w+8wn8SfVbokos5D91LvEjOg8vWLFCpg0aZIwn+HfF198AcuWLRORZ0x0As5mRZrM4kaZmX1qomtE6IBYMJm5j2M6nu8gE4jU8J0sHRORaaUiNS+m7aNQEHAwJ0z4dZVf4aBPozRUk1l2o8a5dpsi4oo3mbnzyoQJFiIxoyoRGX/Toml2nZZx9GVvk5kitNg0RD592r1YwH1TTcoSoiGSk17Tmkb55zXct8XeFltzlYkzY9cQ+Uw69Hx14UR/3vR6g4qZJHciUU1SUoCT+w/zkQw7paygZvrcvk/Xwsrk5qD4EFnsx74pQ2yXxpWixXcoQt9Rp4aoNnxh7HMsXWsmSneECK7lNplFFohGjhwJ999/v0jIKEGT2X333SdC8JnS5yGiKupCzhb6YESfpE0Ow2Jf+nZePkQGlbT3yotOMlrEiiW0M+iYGNpE63ay7bbSHUEB0e9Yyn6IxsdHQ0R9iOjqXokyyzUkb0I13M+iBSIo1JaLGimX3VdwkjHtp1XTRnlB4urnvjDvy1NF5GNSiKsh0n1naD+kxXTlvUVTVSHpJN23oU0h/QEj4F6eONeaVkC/PtSkagp9njp/ObxNskJTISfMZKZriJSw+5xgEDXPDzWZ4QIrrByQLZxbiX4ztsEu4Lu6s8m30icPkS0dAt2PrT2m34cJilYNERRHxmMP2Bw9BUOYuFNup+rIR8cCro0bB7358TP8jomOPviFdTXdvh58MKK3AYUsH7Wxl4bIsGqx2deDqmeyH21S1wWfOCYzPey70A51IDKazLSyBPE1REA0RP51u3BlR+U0U5SZTGyG7dQHyDjZqmstTu5xkhmKxIzkZxnL9WuZ0xDhOT09flZou3zbb+sXtjpMYcfTJyPaP2kxXaktwD5l1BCZtCchGsPD73sfznn8E3jm48L1yXj0S1OUGb474I7RcMojHwmTqN4m/bnTtRp6DjJTrUFbpOCEWUuEMOYa47DPhfkQhWmIbH3NqSGK4Gejm9PtPkTg6UNk/j0mWLUF0Hi7SkQ8NyTwUQZg5Bdz4ZH3p2tfkE20a+KqZSYpd9h9ZIFo3333hQsvvBDmzCmEP8+ePRsuvvhi2G+//ZJuX0UQVUMk1d+IScMQZaVAO6vPoODlVG0w3/mYLkzn4RqY822PqSEyCZGuKDOcoAMruiKcX0WSvNxN8Kl274oyk4KKTGxmioiLpSHS7qV08DQKRBmP0h3adTCdd8sm4a6NscLuLXKPj8ksLPQ/qyHaaCymm9cQVVcZV8BRzY+4/aJcokhFINIWEyZEHiKtb9PznzIvK5y4FiIuDVFAK+AQoPEcDrv3fSGM6eMMNdPpEZOmWx9mitEnZ/p59him37j2Z9B+evkQaRqiQKbqjLOvvjRhLhz70IeB7U37tgn9eK2inJtpMbFk9XpR+gVTU6C20gReAjUPUbjJTE/CmXqB6N577xX+Qr1794Ytt9xS/G2++ebis3vuuac0ray4PETu7VX7em3slYLyAG+0DRhxTGZBDZBthRdYeOgCERkYdNV9nIr3NsFMvpZtN6ngP/x2oSiGWaxTtfxNFTGBuSdAyLeJDihZk5u6z4KGKHg/qaOvL/q9yk9wEbUask2Kiccycfj4EXibRZXfZOKbzEx+Plr/UTREVCCqTdpkVnj9zQ8rzYkZLedEhXDTAsukMdGfO9TeXPTkp/DgO98YHcSVsHuHAD1rcSG3k94PZJoA8VttYWTWEIWYzAw+dWEaGVe3MPkQ+UWZqe9pCRexH8v+KeO+W0SOo7bBxOwlq+HuN7/Ov8dLVWyU2cgv5uVfY+FuE3rQBI4d1Q0tyqxHjx4iW/Ubb7whCr0i6E80fPjwUrSvIgg8PGEaIkMdpDh5iPS06mGrYP04Pvst2MTN3weOp2V7tdVOo+h10opxuJXnhxOHHo0hM0QnajKL4EMkBCgy8KNwhO2s3VjQ3EhhwuQAvoZMfFHbKtshV5rGMPSQa4ED548r1qmTSG30yS3aPQ5fKHg5VYdMmEJDRPohPc+NWp8K7ieacEm3xySQtA36MXWwf7g0RPK4ioZIe77Gf7cYRk6aB/DZHDhjjy0CpiJTUkeziVXdjmrP9FpvYS4BYV1G11YEfIgc3/kJRPHyEAUDQjKR+neYoIj8/MExQihSjuPYZ8bjs5cmzs2/XmkRiPRrjgEZtmr3aTGZRRaI5ECM9cvwj6n7PER0RSeFBCor+D5MerV6U7bRQFRVTB8iupv/fjKbfK+fOx2c/c4liSgz+bLg8Jx9dMN2FceBnQpdUaPMqPIEJ4GsxigTiDITxV1znzVv3EgI0XTV7YsuULjzyrivxacz1FD9jGU/PkOir2ZOERKK0BAZ/es0wV83mcnweCoQNQ5JgugjpOGx0LQgn30UUkV5C48xICwPka4pNZnM6M9HTZ6fT/hnNJM4+gsFBaKWTc0ms0R8iCwmM7kAC/MRo1zzvy9g1OSCA7psk6ohMtu89Lbri7yCxgq88CndoQtD2cLPfvuUuNKNoF+TCd18ikExYYJrvTOZIaNGjYLf/e538Mtf/hJOO+005S8Ko0ePhkMPPRS6d+8uBo7nnnsucGOuueYa6NatGzRv3lxooaZNm6Zsg2H/xx9/vEgYiXmRTj/9dJEWgDJhwgTYY489oFmzZkLDddttt0F9zkNEBSLZMaOYzDB7KzpPqin21ZwRLlt5HA0RXW1d+/wk62/VlaDZx0RH92nwTENkjNCQt8JkWjDh8sd97tPZMOLO0fDdjwWzBj1WVZwoM8VkVnCypnmI5P7k7WyZi9qijqq+6D5dhSiz4LZR/amExsm43A//re+hfMwYrhpLviazjCY4oJAu30uzEfYpb5NZiIDctW2z/Hv043jqoxleZVqyeYisu/YymdHn7aaXs8l5rdXuHRpFZZ9ah9K14HoSTJ2wZ1U3aeU/l8cwOs6Y2/zYmO+DQobuQ2TpU2HrJ2xjlEVWmG+VibUba70LYPs8IzYNUVZrRoVjj8SM9S3K7Prrr4cDDjhACEU//vgjLF68WPmLwsqVK2HgwIEiZN8ECi533303PPjggzB27Fho2bIlHHjggbBmzZr8NigMYU6k119/HV588UUhZJ155pn579G3Cdvbq1cvkV37j3/8I1x33XXw0EMPQVoIlDQI0xBpOTp8VafIqnUbRPbWQ+5+D1YpmiazhigoEGWKdqpW9h84HpnAHIn5YidmpO00CJHUAdanQKyrfRc99Rl8NW85XKWFjqt5iKL5ENGweyVsX2qISF4qeR9a5JyUbU7pLvTaY3JFa87cHG3fuIe4JjPfSSPjEU3mk6nalC9GF/z16yufL5rKwdep2vWcZZ3RC+//8eH3cPl/JirnMcUQueVTy0z2ZzXsXj0vqmlcREyDst36QsumnXE9w0qUmZfJLNyHyFWr0Zip2rnH4H58hO+w8SwruEU7rul12LV2bVprFNBrowtEmiCVTcwY4lRd30xmKJw8+uijcOKJJxZ98IMOOkj8mcAOeuedd8JVV10Fhx9+uPjssccegy5dughN0rHHHitKh2BepI8++gh23nlnsQ06dh988MHwpz/9SWieHn/8cVi3bh387W9/gyZNmsB2220Hn332Gdx+++2K4KSzdu1a8UcFq7ozmWUiO1X7ONfpK0dMZ68KROEDs495Qa9Qb9oPbSvNvEu3w2zIAe1PoiYze/4Pao5y4aMVQSFU+U3uJ1mTmSxkWvj+3+NnCg3AHn02UQS8bGLGwnY4uEjzh+wHUuVMHVFbNImvIdIHXHn/TUKE74Ccx+LX4TMk+hxLL69g1RB53EOqlS20gR4r6CCLE0WHlk3yk0mSGqI4aQ9ceYhcxUV1HyJ6LXRziSlDui3HGSUgdClRZqpGw3TrfcLuXc7CRnNahP6sa6BsfSpsn7Z7a9Lyb7lJKy2thB841vumJvF5RlZYakzqQqJYcIeG3dczDREKF8OGDYNSM336dJg3b57irN22bVsYPHgwjBkzRrzH/9FMJoUhBLevrq4WGiW5zZ577imEIQlqmaZMmeLUaN18883iePIPTW2p0RBRk5lcsSsDht+joUvvRg2R3laPfdOVeL6WWcZXMAHFFICFG8MwJTfDc7nk6c/g6fEztWOZr1OmVp1AUdBIypdFn4BoGL0UBOV+vvlhBVz6zAQ48eFxhe1zp4eb0tV99vd64j0SZZY7jizEqmcc9oHem6xPgMwrE9w2asSdrXSHj2Olz6H0bYrxIaKLEEkgVNymISJ9yjtTteOB0bUwPqt4CRXCjfs2+PzoJrPVhn506MDuRr8RObaEjRv62BPUEBUfZeYKuzd1gSjyvZ7mwtanwsZmfCZ8BDHU8h//1w+9fIhM46UzE3pttGdkhSV6Ve8LruKu9TZTNfoNPfHEE1BqUBhCUCNEwffyO/y/c+fOyvc1NTXQoUMHZRvTPugxTFxxxRWwdOnS/N/MmerEmiSBgn0hsr4+WETxIaL7pvvBAck0yBYfZRY8bmD7GA91WLV7zOKLztuXPTPB+jtlANMGTJw0ZIJAFz4Cok0gyjpJqz5ENFeQVEWbBCj5+3zYvuZDlPVFyG7XMm8yK86HCO9h3om/yBW1qcwDghoUL4EoYj80vY/iQ2QSiPS2BzREOc2gFFTw3jQ2aoiiaXuyk3ttLE1XTahTdfD4uiBt0jS2zAndpvB2jICMbDIjfVV3Ao4zRuDlcmXLNgulEfavtcmuIXLvJ6sx9zvmJzOWqO4JnusdfIadJlmIpiHSNeD59uj+ZLXpz0PkZTK75JJL8q8xGzX632DY/YABAwJZq9EU1RBo2rSp+KsLXOnYwwQAk8nM7X9gXtGiQGQyT2Fk0KuT5sGB23UN3XdhX0EBx3VOeP6NG0Vflbmq3VP/KOU7lzmIvEdBY9tubeC9r38semLWtcB5x21DLTM6WS1YvhY2b1qjFIOl39P3Muxe+qhQMwXVENkKg1rPj14jkam6NlmBSNtP05pqr1wkXr5snpOUj2YFnw1sKxXW9N3pZrVVOVMCjTJravQhMrXJ/QybzsVHsBPBAi4NkclkpmuIDM+WXDyYTD7YrrD7Rc3eaA768zvfFn6vhfKbdhW2f93BV/+d2eHavz8HhW+/0h2+7bQeV9Hg+muIXFtmIvZH21irm8R9NETlNpl5CUSffvqp8n6HHXYQ/2NRV0qUgTaMrl2zE/D8+fNFlJkE38vj4zYLFqjhjxs2bBCRZ/L3+D/+hiLfy23KjT643TbyK9h/2y7CRhwmcJidqu3Hoh1U1RChGt78EP/qHx/Dd7cckvs9xCzumknUMdCtIcpAs8bV4Qn5tOPS00dBY9vu4QJRMRoiU7V7Pbnf5p1aFnyINF+Jgp8TScyYd9IufCZ9iOT+m0npM4afVTHFXX1MZlgA1ddkhr5WyM927lGUKdpHsyIFA+mgLtqg/W61VUNUEHbNPkSF/Tz76Sz4x5jv4fjBvSKbf3ycw1FL5SruKverPhvZ//G+4PcmbZnsY7qm1VUWiEIXYyc+PDbQJiXYwmguDBE0LNvkfYhMnSNCd9b9L23n6+NDFM13iWpw/cAxIHKUWa3DqdpXQ7SxNtTXq15oiN566y2oazD7NQosGM0mBSB0bEbfoLPPPlu8Hzp0KCxZskREj+20007iszfffFNosdDXSG5z5ZVXwvr16/PaLIxI22abbaB9+/aQBvSBFd/+5O73YPLvR4Ta2+Uq2+Yb4y0QbTA7VQfa6qMhqg22xbV6NYXp+4APF/7UFHaPuXckNt8ZWpFaN9/g4N+vW+vQNvhoiPQJPi8QVRe+k/uh92TB8mw0pTwENZHpmarlpF7QEBUGPTqJo4NsFIFI9U1za4giR5lZNUThg+KyNeuFrxUyYvuu0LpZ49hJM30FOdSMKAKRtn9dUJCmBHlvrFFm5PgXP/W5+F8P61a2t2mIvPpitVNDJJ8lU7/GZwqTa5pMZvK6ZKwCkbtz0Gd48Sq1xIzwISI/9zHtm7535c7y1Tr5Zju3CRBhXTJThKkuSv4516a1ERc7Jo1hdj/B5L+h1e7rm1N1kmC+IIz4wj/pSI2vZ8yYIS7cRRddBDfeeCM8//zzMHHiRDjppJNE5NgRRxyRz5A9YsQIOOOMM2DcuHHw/vvvw3nnnSci0HA75LjjjhMO1ZifCMPzn3rqKbjrrrsUM2C5MT3gplWYzQERHz66C/Sd+XSG2WFcTbOv7sPkVB1n8qBO1aZEbzp07IgyGKA2wbi/jPrd8rWFAZY+64GSA+RLfG77b9quJE7V8vLQMHocrMdNXwT//aRQm2rBsrUBAcqUqZqeVyEPUUEgQCFDzoF/Hv0NLM7VwfJByf8iqt1nkjOZGX6DGhTXhC2h57Dc4tRJBV4XPgsB0zOpXwJd8F6ZM5nRRJy+UWbytyZoSgWKz+UP8yGSpivTmCS1rqb0DTLXlUlYy5YFcreL7rO15ruXzVRNtOLGFAgQrnlxPKs27dH0H1cqJkPbLvRztobdh4wXxeQh8h07hVO14RiN5FgCEfMQWd0TMpGr3fsshhqsQDR+/HgYNGiQ+ENQSMHXmIwRueyyy+D8888X4fG77LKLEKAwzB4TLEowrL5v376isCyG2+++++5KjiGMEHvttdeEsIVapF//+tdi/66Q+7rGx4fBFWaup8vH1eWR939gOZa5Y6+zRJnFmfTowyMP51q9qv4B/oOB9I0Ji9SwTS66mZEOmDhpbNW5FZy3z1bQvkVjR9vD2ymf8TvfmAp/ffdbkmiRFncF+Pmfx8Bzn80JVExXfIgUDVEwhFqusPBcqOAltUL3v/0NXPx0dgES3WRWXKZq0771foHCm8/AuNBHIPLWEPk9f7pmRJ9g18bVEBnaKa9DlCgzH8KizOTYYhonbAsQpGVOQ6QLL3kNUQQfon7d2jgXfHE0RFnNFUTyIXp32o+wz5/ehmP+/KGHoKMvUs3bhT4jnmH3pv15+xCJsPsgjUhh6GgaInvpDlWQzYSG3Zc7yixW6Y6k2HvvvZ03EVfAN9xwg/izgRFlYVFv6Pz97rvvQlqxPTwjv5gL+/btElhVrt+gDzj+jng2VS6uurwy9voIRAYTmMsGrddC8qWZZdLQJ1pbWKhew0mPMkN+c+A20K1dM7jyWdVfjv4ujLem/ACXPPUZ/PfTbMmSVrkVMM6NcrVuuq5SQ5SvZaaVTaBh95J8HiJiRsXj4AQrnR/fnvJDaJttKnm3ySzqJB3UdOzSu0OuzVXOSX8hSQhI82kpbfdsj69woWuAwkxmK01O1TXFC0RxhSGfPER5k5mhTdQvT4f6qekaNzE+hbSZmsyktkmiuwQYSwyFOiubzylfusPwe5nc8rOZS0LHP18NUdjwqYfvh0H3Z9u39P0KM101yn1m9iGK51RN5xQh9GYaWKZqJnlsD89Z//wE7h6llioxDQjZAaO4Y+GA5FXk0sdkRoQf2S6XsOXrEK5j84XJBGrtrA81qaA25g8vfxVwVkZcJgbbylcX9KUwRKtDZ32CcvsxnLjUENVaosz0Yq+B0h25H6IJil4rl/JlwqwlcOg978GYbxYG2iXMIY5M1cVEmW3dpRVcuF8fuPygvl4aIip8oD+R696E7ctXkNMHfv3eyzbJBYzUEFGByOVUTTVQLj8vH02uRD91Wj9PF2TkOHD/21/D3KWFagA+bWpBzFy6SWtDxLB7fajQNeCmsSRMA2XNQ5T/3vnzwrG1DaX2WM/WHKYhsjkP49dRtOS0L9ieP/1Y4lobtq3Jm9+jLXZsApHuhoD9ImyMKHemahaIUoCrs70woWBCcfkQ+Q7qtgfV5bNE2+gzFpvC7l3tw+9mLV4l7PVRJlXT5GKqkWUzmdFtUIPzn5z/ji4AmUwMPTu0yLfdhE+ZDCrgmO7LgmXSqTqnITLUMtPbRkt30EK1dDKjDuc6x/9lLEycvRR+8ZcPg+cnosxyGiLPQXObLq3hdwdnhRydDDlvNJNcvP/WRHvmPzBaTWa5faOQ6Nqdr8ZFn+j1n0nn0g4tmii+FflyMFU2k1n2/2UkB5Xr/HUNsQvdzIUmVbrvts1Vc/CbXy2A20ZOMe7LJRC1aurSEPkIRIVnVE7I0nSml+4wZkk3+gBl1EWSw8wb1wFfjgM/aiVMNloGykI0aHUiGiIqjNh+p/c51NSYtm2UE5xMu3Fp+G15iLLPN0kRIywZ1t1k28ACEeMaLEwDqB5VZcvzEUXSt6o9NSFs9Xpz57cdA9v15lfzYdRXC5zb73HbW8Jej6HmvjS1aYg0f6AVFg0RvWbfLVyVf6079eoP6WUjtoFhW3bM7sPqk+WRNZgINLr/CQ1npT5EtG2oYQqazHJRZlrWbWqCoat5Hb0Ug7oCpRqi4G/1U95+0zbw6sV7wrAtO4XmXNGF0CiqcypIqO0p7NsVveK7mMBreuWzE+GBt78x3nuZ16t9y6xAtCp3LalgZtQQ5b5fQs7DJVD79C1JU83MhZMeFap1gcikGfIRpJs3rrEu2PwyVRe+l9ericH8K/0ddczCTrgjupz9fRdi+j56dmyptNk3MaPNVwa/jrIopJop2+90DWk2D5FdQ1Rbm5yGiHYFXEyFaojYZMa4Vqgmdb/JqdrUz0zRM3aByC3oyGMu0UJiTdABEZPTnfbo+NB9y/ZjMVRfmiboQxRmZlDea9FhJvT6TyaExie3H73sA9UE5H2ISJi9bGfQqbowqFGTGRUedTNJFH8weW9NK0ZdAJfFT2w+K2LVXusnhLpYFqIhwn279uerIfpsxhJ4fOwMuHVk1rSqD+5rpIaoZc6Mki/uWtDUGUt3GLKUu+rO2YrU+jwjNdq1aKMJRC5cPkTU7ycoEHloiAymHyk8bogZZaab7l2Rkb7+Zvrzvmm75sYi0GGlO/SJn5qroghEijCS8evfttId1dKHyGMf1jYQstecJv8Nd+0ot1M1m8xSgGuw0FeUOGjqg6VtwDH5GvhoiPbr2zm4rw3+AtF3C1fmX/sUFI3iE+ElEImEf7VWrUdYdFGYyUz4YeSjw2wms/Dzrib7MWmI5CRBfYiUsHuHZkX4EOVNZqoDumulr0P9Naigif9NnLUUrnpuIizKRXzpk4W8rzZhhDq66oJ/lPBbmw9RXvsUJhB59j+9HwVMZrl72D5nMtN9iFBLZfIdkfuhz5ZTIKqNbzITmapJn2ljyN9k3ZfLh4jkZ9IXYj6ZqqlGTD6WeW2ncMpW96cTFhllM5nJT3wvqf68t2lekzeRht0jHBOkC4TeD+S5Zn2IIFENkX69ssVdg9TEjDJzfUevA24X5kpQbpNZWaPMGLXTyESDFLqSmLNkNQy75c3AZfvDy5PzvhdhgobVhygnEOGD+teTd4ax0xfBsQ8Vwk1//+KXcOaeW1rNE5SZi1YbkzQm4RPhEwasa4h0h0eJzdE7oK3QhA7qu2PTEJnKoOgITZMUiIwaIjXih+Ydku3UV6dyUMNzy0eZVcXXEEmfIdkOKjwceu974v/FK9fDfcfvGBgYpV+FbYzLkHtQjIbI7kOU21dVFWSqk/AhosJh0ASzRhOIpO8aDbuvymmJTBqRJasKfiiuQrxRTGa6VkfXEOkmM+e+XGH3REOkC5h+PkTB6yHHPl1DZDp/08IkkGfMoSGK64PZskkNdGzVREkDYdvf7a9NhZcnZutn6iZcoRlZb3f+LsaHSN+fMJmZ8hA1ckSZeebqCvudbSxOi8mMBaIUUCj+WB2YSOlK+X8kRw3ljckLvCdlm1ZEPljYIXHQ1jsm5sehOXLC6NCyidAc+AgGUQZ4HxW+sMN7mMxsKyp9MjZN1vmSG5am+zlVF+qcGVeUuZ1nLGH2IkrNEmVGB1ZsPx0A6WrehW6KxdcmM+xX85blj0n5MRclZ0u0KHLD2HyIomiIQnyI8PimM5Z13bx9iMizY8q3kxeIWqoaIpqYUS46qJVBfk9NZq5n4tRHPoJiNESqyawmEZMZHS90Hx/hQxQpykwViPC602ttTPlgDKlXBSLTnC5/5hvZpR8bFxcdW2LNyxXK56bn+bEx3+df6xoiaUqN7ENEXB1sv6OLGpfpqiY3GJm+i55SA4ymdVuZj0Ib2GRW8RScCKudJrOopiXToGqT9KVAJDtksWXpdugRnuW5eJOZLVO1GmVmM5nZNANhkzO+zRdlLUJDpGt8zCn2CxMvNkst7hoU3hrnBrWNWmJGeo1t0Xmm4wevq8l3yD1oOtMWkErwym+SjDKzmMxkc701RGQ7veAo1ep0yIdiBzVE9H+9HVQgSgpqVsbbgJFiLqdqFy5TK92n7Dfy2F5h9xvV6vbq74M1sSJriGrdkWi+UWb6845FbVFD5LPwpJG8+oIzHx0qzMjgjSwgjOingJG7pzwyLvA5zgum862uso9pPnXyTOgLKJlyJK0aIvYhSgE0CsXVQaIKDlGcqmX0mDyeK3kbptYPK8IXpUhfXHWsbWK/7vlJyj5tGiLbtdA1Gqb3eafqIsLuqS+Sy/RnymwtnZb1eb6gISoM9nhLqYAWRwAQ7Qnx37Dt1uVDJPcX9CGKEGUWkofIlJ6Atts3UzW919n7Yl6ASA2R1BgFNUTquRVMZiUQiIhWp1ubZuLYdNFjMrXbcIXd08srxym5vU+UmWoyU59vzBj9yYwl7nEtxO8FtSRJ5CEyaYg6tUINkQr2j4ffmy5cDUzaJz2KsnFNwak6Sh4iqnHRI8d+8+/PrUlYTQu2GqkhguQ0RPqcZRuL0+JDxAJRCpATj2kSoIJFVNOSqdPbJkO5mi0IRPb9tm3RONEifUk7VeMAOnZ6NrGgS01rFYgsfjlKuLwjw7S3UzWJMvMpxGgq7lplc6rW8hBRAc1XAAjm3TGXd8lPKpbraesqtNYRFh1NQkM0ee4yuOK/E2De0jVKQkSXQOQrkCsOoo7sy3KClNe88HzbNEQZr9VzsVrUbu2ai/9lH2rRuFHoirx1sxovkxlNASGvp3w+sc9EyVQt75ttUeUfZZbRzL12zZJvlJlRQ5QTgHUzLgpDKBTNWFRI6SEJOFUTc1UkDZHDh2gGSSXiMz41cjhVx82OLs3m/j5ELBBVPHreDatt3kPrEDfKTDpVSw2DDJk2gWr2sPkqSvikjzbFJ8cKhU4utrBQX5NZwKmaTLDWPEQ+PkQhGiK5n0KUmR52b0jMSDRXNNybtse3mKm+ne6sTj8Xx/T0yaK/s01+UfoP9SE6+O534V/jZsKlz3yuRJmZfBOkXOha/W7Suin06NA8MBELM5DlfDu3lgKRmpix2qYhqi1uYeC7aOjaJlsDUva55k1qQgUi9AX00RAhUnspF25ye7xuYafmCrvXMQVqmLQqgVpzhmeyoCGKpzVFM2IHg8nsU6LRMmtjLFFmWh1Gyh3HDAwIpa4oM71/Tr5hhPNaNJJtStCH6IvZy9T2huS7q+hq90yWvNnA5ENUhMnM1OmtYfc5k5k8nmuebteicehEHmWFH3cicEW9+JgafU1mxjxE0qk6U2Sm6pDrlM0qm/Mh0tqi5yVSfRFIYsZqdOKlGWM9NUSaJslWVFTP5SKz90pcfUUew5TawBc6Kchz/nLOMiIQmvdXqLNnH+yfOWsobNGpVeCe6tmTJXgYKUTIGl7Ul8l0blE1VbEForY5gai6YO4JEzxlxJzsW67bon8nJ++sU3Vt7CizuAs9/b6atCJyE98hSD8OXj/TOETzqaHvkK79s5nMhK+TZUzZapPWgWeL9kn9Z/olwftRSASrnjAN2Kh1aIhKbdFikxnjVBEX8lNkYPW60mmIpP+CHCBdPkRZDVGID1FdmMxCVPhhYf1WDZHuz2Jw+M2H3VujzPxMZmHO6zREFq85PS/9PW2roiFCgchgkghDn6CzPj8Op+rci8tH9IUTh/SCJ88ckj8+rf10yrDe+d/pwkL+PCKMvKb7iPdHCmh6uYoohYep0KoLRKZrgYkOqSYFf0M1dab+5NOOuFBTpNQQ5U1mTRoZAzlsGiL8mUujpI8J0lznV+0+E/QhshzLaDIz+hDVhmuIcr/z9dvRb1FL1LKFBCmghlqW4ZFY8xCJgsfm/WTHHfexlHIlGfV5ykYPVxnHJ5kSIizKrNTFV30DPkoFa4hSgB5mSsE+ip0ca0vJWlu+RMlDJP0wZBtcE3Xb5k1CJ3KZ0yJuO4uJMtMTHdp8r2zmrmBixurSmMw8NEQ0RNZc3NWuIZITLW5z7j5bKfv0wVRE2HS6chCWA3mrZjXw+yO2hyFbdAxMlAN7tIOderUv+BBtLN6HyCTg4QSQX9VaJpK8ySzXhkdP3QVev3jPQDtk+2myRJyUTfX/cLFAtTJ0Gynk6cKebL7vfYkCPVQXqSHKnY+PhogKRJiugY5Ru27eAbq0aQpXHdIvd6wqY1RaVngM8yEKRpnZNURm89iNL34Jf333W+tYZ0p2GWbu1aHbnb/vVtCjQ4vQgqTYB+YvW+s0DckFZDbKzL5QC5NH6ClT4UjeZylk6o+M8AEDl4YoFw1aYhVRucPuOQ9RCsg7XRoGJ/wOH6gPv10Ueb9R8hBJ5AogVEMU0nGjVC021SYqxqlaXw3ahBNr6Y4QbUWiJrMIPkTg4UOUT8xI8uTgMY7ZtYeYxK974UtFgMAJBH1wztu3T2B1Fkj5bxMsc5vZ6pLR9/havqU+ScVEmRk1RI2qCjmOqs0+cbrJrHPrZkKYs01CuobINMHis4HPEP4OrzM158l+pZ9bKTVEeK2H9+sC0xYsh/37dcmfk0nAMXHS0F6weOU6UWj14P7d4PcvfZn/botOLeGpM4fkNQv6I98il6wRBWt5jU/ffXPYo08nOEXLpWQymdm0BabrNHnucpgyf07+GKb8UmYfopww7zkEyX2i6erXB2wjXoddQyzpokdXBTREOZMZOASirOnXfSz8baNcX6f7kQJXE7GIDDo2U//EjGG/ctEQV2DBaEafoIEwbVupYYEoBUghxVgJuxYje+IJDD4aIhx06GAkHbtd/R4jT8J9iCKYzOI6VXsKRHYfIvPntlB2Cd6mfB6iojREflFmVNOjFncNCq6FZHaqyQwnCFk9XCZqw3D1G1+aLF5PX7gK7vnFoMCxfc5Jz/ar33r6HpsrhZOMYzEQ1ZcA7wO9Nih05MPdDaZFU7uxDYGknIrJrCAA4W9kIAJF5vXBvommEixYXGiTzWQGJfMhwvb/5aSdhPApr4/sM809TGb9N20LD5+yS/49nRBlv6LvKS1zCUBppmrUGvXp0jpwHCpsuzTmtutEJ1t89tFsqQtEJgE2L8yHSER6Ek/aT8K0bLig1Xevv1c1u+b9iASjIc8FFYLofgoaIvPv6TOScfgQxc0ThHOGl0DETtWMfMBNnQ0HhyjFHCnGqtDa09Y9p0aXyNWrK6weB/uwsPso4ZPxfYgcJjMyedk0G/birm4NUVVCGqKwPERyP7WWPEQuHyJR3ZuY2rLf5RLd5frFTBIO/MrEuYGBUJ94bAKR3MqWdVp1BCflRkjxx2J8iEz3En8eVtxVtpcmTtQHZGoyo46o6y0mM1kbjBYmpfsyndvoqT/Afz+ZZeyP6G91xA7dIS7Z662ma+jbrbW4BwM2bRs6mQf6F7k+ppI2FFkiBvsRrWtnOqKiIcq9tEaZhQiOP7nnPfjnh98bnKrt/m9hUWYF5+vC4kQSJlRiP9EXX/qYV/Ahsvsz0XQfNuhP6TnJZ992TbNjCwT24ZMrz2eBStM3uOCwe8bpVL2xCA2RTx4izJlCB2ipsnQ9dyiIhM1XUVb4UdMJeGmI6ORl02x4OlUH/FuoQGRLzOhR1FafqCg0h4uqraC/x7aAccLCyb4Qdg5K/5JtpjXnsF/oE4avyazgQxRcPct2F15no+WS9CGi56RoiDLuTNVy4JcLDrGdw4FezeWEJjOzU7WtbxYEouB3lzz9uXHhExa8EIbp58O27ASfXX0AnLfvVpFX/PQ6Bu8zBHL05DMjkzHOdE6zF68WWZXf+HJ+wWRmmXxNCygqnH69YAVc9dwXnhoiVUtoQ35f6FPV3mYe1CTqY7g+5sln06UhCitSrAsz9LV0YbAJRFRzW5uJlitPghpHG609iwhzlBmTX6maOltWIIqbNj08ygwjtajjpHxwXAMxDvZhHTdKNELSiRl1DZFNW+MdZWYICXclMRPHDDknuUvbdZQDSNaHKGM0kekaI2VgraWr2SrlWPJ6Y2p/iq7S1ido26RRWGWbtQq0jdloFgiPMouYoA39Smh78TiFUGFLHiJPDZFcldM+hROczana5vAv92M7N9PCR/g/FSEU2R5TmVw16oqcbq/3Pf29LPia1RAVBF/T6WB+Gsyq/MvHxof6ED3/ebCmoskco/dvl9Y2zIdI9lOqdfTVZqIgZvJnos8+rXbvSgfSKJLJrPDalgOLfl+V9yGyWxZc/cVV2sVHQ4SatmL6ehJwlFm90BDFNJl55CHCB6QjST3vs2JE+7xrNRDV5BHXqdqVKI5qiGyCjz1Ttdufxat0h6NaOd2n7TI1b0Kz/JqLuWbD9nVBIqghkr+h/kXIrMUFDRGiO376ZqfVV9munELZ9uZ8FUiSvTCtnAn6vGAUD50UUegIy1Qt/azkRIkDujHnVO4zqhHKaojcPkQUIcxa8hC5nIXDfMxMPHjCTt7bFqMh0gU7PYu6zM+TrWUm/SSJydSyqJHDXZS2mca6sVogimntks9UHWIyk/eGOupLwtqJgrPJH4+av2h6FafJLKZAJF/ahEwa7FCb8c8X5jse+2iIoi6CSgELRCmgUM/J4FRtSYbnA1abD/iF6E7VjaqhE8m0KjulSwjDQSysg0fp3HEFPlfOijUeeYCsGg/wL91ha7ppsqQUInOC12nLTVqKiKd8HiIlEkQVLvSxWLZVhMjn2qYXFfXVEMntwnKDhEWZ6ZFxBQ1RIWGf3l/oNX/whB2Nx6VamOG3vwMnPDyWtImaDO0mM6rlQRNPoJAvOtAbNEQ4QTidqrUcWYpZ2jKBmjKqh/mMmOjXreC0HPZoRc0MTLcPaogKr0XNtNx5rttAS7SoQr2plpocs4ot9Dl2enhkrny2Qn2ItBQNJmHGBt5XU5JIeumpD5HdqVoVSEyFeelP6X6kQGNrK11sZRx14Vzn6hKIfGrmlbuwK1L+FjDW6BwEH6S4PjZ3jZoGf3g5G0Uk0Z370P5Na/HITuk6JgpEbUJUoFE0RKUwmfn4XdlNQJo/ivagZgcm90Cq1/DxNZkd0r8bvHrRnvlzo5mqqeMjUmWYlKjwIgfBvIYo18E2GHyITFXj8zWpQgaqfMVwSz+usvoQ2RcD9LrYzLd6VBgtE4AaOtmtXCazVbk6d3gIvObVnhqiDSEmM93RVjcbmliwPNhn4oQ50/4aFj3VRIZ7e++bngdYzxH7odTgZc2ZBdMoPaKe5oBqYYpN0vf9wpWh2/j6EOkaItpPwsyOJpMZ9iVVqKI+RH4aosMNzvaZ2sIzScdV+dI2Zma1zZD7bbTUMJLmjkS5YfNFGhyqERaIygw+KPO0LKb697IzbtquOQzZokOk/f/l3enKe32l0jRgMpODWMa5EpDRNImE3cfOQ+Q224Xha0pzlu6w7MM0uVGkwKlrAFCzgBOanAxopmohAGmCgisiTl5X+ZEczOR5y37XMmf+1Asv5leVIROTHqnjUqvTyDjqL+Hy27INwsIJ2iIsieg8D5PZqlxR45ZNaoz+C7ZkeDaTmZzg9b6paojMbTYtQoRvB0SD7j9M80EFUR9lFD0PV5QZTrxycYXCUGFCrVa2a5kLzTfXdixuevJRrMvLE5aXMe9UbfB5CzWZCafqYNZseh2oD5EzMSP5DeaFwgUURf4W9093IxfCtmtKNXcZTUeO5yz3Fdep2sf0yxqiCgcHwK2vesVt4yaSPk6SxXrhS5Uv7YTdSOi9XF1i/pFBPds5TGbJaYjiasBs0UO+2IQZ/eM4TtULtMy0tmPoA4UcsOTgIOphZSw+RNXB35tquOnh3tL5WJp8uuRKOgRNZn4TE16DcdMXwY8r1mXb5ZhZs9EsRENkcar20RC5om7QJEHNNGZzNDrzblBCxIPtNQtdImGqwcQlHUt1kxm9T1EWC3FMZtQxPCwDMxV2d+ndIZL2Se979LSwz0hBNhtlRsLuyc9M1z3M3yVJdO3mr/baAg7avmtgO3kd8xqiCCYz1CQGU1igySy4D2yG7ZaJvkiEXXxm7j1uEIz73X75z+R4pJtfw/II0fOprbUvHF1aHFdtSZ/iuexDVOHgAx9mW6U5PLICQKFDP3fubqI2VDFaEcyQuln75oU25R4YHLiePWc3OGOPzQP7wNVvqEAUQf0pzRZRsVUxjzoI6uhmBpNTdaGWWcb4+zCTmW3/+QRqeQ3RRlK6QzVTZAUk+3WXYfL5DMlk0EWhSH6PqReQ5RYNUdjEhM37+Z/H5N+7BCLqQ4QnlnfWdPgQ2Val+Lnt/qNJguZFMq1Q731zGhxy93tOgUi02fBbWrqD/jYvEGnXTNEoROiz4tgRuzi9lmEmM9qWoVt0hNN229y9b08NkTCZSRMtyVSddaquUrQKenfx8VdJiox2zIGbtYN9tukc2E4KNCaNZpipZ/X6wvnbosxkigEcm1waIkVDl0uM2Tm3oKHno4+pea2bI+y+Oq8hUqFjnEtD1MzxDOlFaU2whoiBzq0L5ioTWQ1RYYCgz94OPdrBX08uZJG1MXHWUrj6uS9gyap1gQm8SaNGsGm7QmcNOpUGH3asmhzqVB1h0PfJYGoC2xbnIdJDaHX0ASlwTUJMZotWrRMDoO/ink4scsCRgqnuQ6QXdw2azIIaIj3sXoY5Szq1bmKMMstriEIEIt105DaZEV8FxYdI1xBRTQTYNUSN7BoiajIz9cfnPiuEb2MZiyhaGpp9mP5WVnjPlkhQ22p6HUYcDSj9RZg1mj4/2E+uOXRb2LdvZ8f2VENpF4hwv7IcBa1lpofd4/npmoWwsPskKZiYNhYE2arwMUNdxIQ8H+hUHWIyq/EIu9cTM6oO7ur56M9kmEBENXe1gUCcWuOCiwr9eHybJvnqn2ybr1+Y5izVSPlbUOFsEiIQCR+i3MOEg5E+QLociyUPjv4G/vHh9/DURzNDNUSBZzFjTswYbjLz71q6M68vODjEUbPKc7TVjtLNDCYfIpfJTJrLOrQoOKu7oBOEHLDk4LJi7caCD5FIxFjYGF/pczWdsPKTUD7svsoohMo8VItWrvXOoE7R+4zLzCOEOhl2r+Qh0jQqjTw0RI2qnBoitbiru5/InDkmTL+lfZZqiGSkjeu5jJKjK47JjArNoT5E5DpL3xHXtaKCqisxI/Zjed/QJE6LgyqCAApEmnlRtrkunGzl5ZGpF1D7bdJwyjFBOtYr2jAfk5lByDGF7otq93kTuTvKzGRWlucTx2RWTVcqVg2RWSDC+23TDJ84pJfXAjlfz62MsECUIg0RHbvuOnYH8T/OSXKlj53ZFVVkAzVDyBdzlgVU6OhU3Y6Y3X7QTD2m1Uo2yiy5sPv4GqJ4alYccLOqacv32hc4wag1nAoDkOn6LFi+xkvYlSirzdxreV/vHjUNHspV8DaV7tAnTDrZzl2abYecw6hgIR2o8XjtmjcJOOBjM3xNZjouWVhM1vlxt1BvzVXLzHaL9clVR66ScddhA7JLQ2TSkso+i/ulE7dNILJNKmHEyUNEfxFqMiMXt+A4W+VlYgs1mREnfuorpqdh0BP6ySYX61TtQ60mEKFwZjp7vH9/enUK/O7Zid5O8kDMV6bFlznKrGDSNxVJtuWB0rU7ukAk+59NUKe+fbWOVC10fKFh9jiGxH1OC9uVXxwpfwsqHDppUu9+KXCgM6I0XZiKT/oIBHI1O2nO0qCGSMsOOl+LeDONpz5O1Xo7t+7SCrYxFHU0mWp8wYcsij8GkAfeFWZr+kpfmeV9iDL2CDPprByGKacJva8yPD6b3K/wOz0vkW0yy9cyI9/JCR0HNVPoM/aJ9Z5h97bjmb8jTtWk2r0ryszmhIyfuyZv6fSM24UJFi4fIpOWRj5TeP1olKTUduhRZqaaZj7gnBc1zow2d2MUgchDg6VoJRwmMxRmClFmhdIdOIbR8xEmM00gqlsfopzJLCc8Cw2RKf3Jxgzc+9bXFid59/0R2kptoLhwvz7KPuSig5buMCU4tWmI5Bguf2ty+HcJb9QcX6t1GWp6pr+mC6UubZpan/tsUdrwe8lh94wS8k4pOO1qGiI9Kslj9S4Fjuk/rhQVzl2/X7pK/d6kcscBLNyHSN0vOipuv2lb47Z6uHc0k1nhOIcO7O6V70I4FTsmCtMkoocbu6rd/5ATiML8wySmnCam+6pHmWVroenbOLJik9W57BM4gcuaU8p+SDRaVFV2nLB7V5SZzWxkqj1GkRFkeK+S1hAtzz1H+CzQKMm8hkgzA9E+RQf+Xh1bwK6bq9Fd9N7H8yGiJjP3tsr+Se03G1RI0S+9PsHnEzM6Snfgb2wJ/cLGtj6dW8GNR2wPiZrMhIYoeP4H3/2u8l4xXYdoP7KZqrMHumzENvDWb/aGi4b3UcaO/HUlYff0PggNjq4hUkxm8nyyvzXlyArLVF2Tn3PMNQ31CEGqbcLFn2vR4XpO89sUGUGdBKwhKjO0jhgl76NCHBKzTtW6hii8E8noIXxWJs1eqv0+2wVuOHw70cGvO2w75XtT1lJ8cKKG3We1W+72RUWsPMj59+3aGo7ZpUfo72TJBhumc9ZXxlIwMQmMmCEc6UAygLsw1TQyFbbMRpmpg2RYPSn9MymoSiFURAwaBCL8jRwIm5RKQ2RIDVBoZ/gKXA+nP2FIT3jpgt3zz4TMMdSoWB8iw/lIDRuWWKEZrAv3r9qhISp8d/vPd4BjtT5LtVW0xpQvdHufcOeAhsjpQ1Tl50OEGiKS5iFfukM7H5MPkSRMQ4TXdPNOLaEY5LMuzas4Bvpc7yiTN2praB4gbDMKN3NyJm0pGOuJGRUtlCEwwuVDZMuUj0E0JvDnNfkqBWqfoYsWKixSLWjXts2c/m4+vnAsEDFKlmiK7OBoe5bh0TjQD9+2i1oiwNLBTatZhD6EdMVw0tDe8MX1B8LQLTsq35vkBnyYQxMzBsKoi8+hFDhGdZUy8QinYw/VrCgZ4ZgoTN9RTRS15aOwihPio+9PhxdyRSeX5LRs0jcnDFO0iWklp2eqNkWZmQUieh5VihCKk5FxhV5VmPSLqXcV2G2gdIfZPKI778qwXZqmIls5nZxbdTVs171tXuO1Kjcp2DJV+yaVM52+1LCh/4upaKh+H2waImyWbl5rQe5HnLQStuOGkfchciyy6HdOkxn6EOX6MAq9ttId+CxZNUQeCQ99fFOi+BDhvfApMOrj2yUTnlINkRJqn7s+pwzrnde2ZCy+XCazt5JUMxA1Zw4YsWl7hftBo5yJ01dD1FjVELmd8X0EovLrZ8LtC0xJaW8RiOTAI3PGZD+rhkMHdBPC0Lbd2nibM2jJAdegY5r4bCvMNs3dXUdO3nLAKYV9WI8yw9WLz3FwknAtnE2VRAI+RLmRYcr85bDNVSMVs93S1VkNkSlHFK7+dYdHetmlZsh0L3SNUNaHSN3GNO6Y1OwFkxlO6MHVJJqBHnj7m/w2UfCNMkP8fIiq4J+nD4ZHP/gODurfFX724Bijhkj+Rk4uq/MmM3MeIkrLyCazgkBkLKKsdTAqmOgre93RtQUR+uJM+PE1RNlte3ZoGTNTNWhO1YUoMyno4//0Vyh82Kqkh82PKGjEWWTd/vOBMGryAnhp4txsrUgisAkNkcc+fIYzdCuQ6S3yTvjkuX7klF3g4+8Xw1l7bQlfzFka0F6bUk/YfJcKGuswDZE97L6m2qYhKkQIUnST2cJcYlYTPoJ9Cip3sEBUbnpZElbRKCaaMRgHkL223iS/XbGRGOGFO80DalhCSVneIm8Pb1Qdmh7fBl4K029xkNBLD/g47+Gg4ZooTN9R521a7V4HV8OLpYbIIBBt370tjPtuUaiGyCgQgcmHSG2HaXVr2r80maGwg3lnUHiT7daxTVg2XLdAmMzyGiJPHyLUEHVsIXLkzF262qp1lOcmBbiVxGRWk7RTNbl+Jn80V3QXvbe4a7rSxvf02Sreh8j/oZNNPnW33jB7ySrYr19WG+2fqZpoPxpVK/X4ZL80h92br33YuaNApG+CmaYPH7hpwOeHgj5b3/ywQrzGyyM18AjeCx8h1EebgW4F83Ll9fLaVtLg3bbqJP7oM4aLV5MPkeyD9N7qPkbZ83FriFy1zGpy91bXKhYWLao5kWo2MTjINRWxDxHj7VT999N2hSd+OViZ9Gkm5PUWCV1uV4zWODTHjEW5hA/P8H7oKN3GGF6uR0Bh2/WxGau6+2A7vayal2qIgup+k8CoFz7UMU0i9IGmtcx0cGUm0xy0JSYzVIuPv2o4dG5julZVgfthNsO4fYhs84d+H9Qos2ySzdGX7RPLnBR2vMB3JFIFNRL5TNUGnzO9zWI7am7RfMh0DZHM1ps1cbr7ucmxnB5HZ8Xa9c5r4xJEghqiRkpyOuqfF0sgqirOZIYCyo1H9DdmbPatZYbmMinoYKFd6iumO1XrDuim/ZlAzZMulP2kf3fo1621mtsrYI6lubAyon2SrMnMedjcPsK3wfOSx5ZuC7b7KQVy1GrK+2CK6KORyHRMkt/bNETSfOeqdl9DfL4oc5astvgQFfbVqVUTt1O1jxmySPNnEpTfaMcIjc+wrTqpanWqIdpQ0LKYOrKPlgjLM5icZ8M0ROftu5XxdwhmyX7hvN2Nx9edQfFBpA/zs+cMg1uOHhDabteDgtdIz7SrC40mh000Z7jqp5lW93pWWNslx1Xr0tXZwa99y8Yin9T+23aB3xy4jbgHJk2EqQzAkpzZzVr2wuJTZMJoMpMCUW4ydmmBkhSIxFdEQ+RV7d4QXizPxZSXRQoY0lzhoyGifThohjQIRNLkaKnf5PJR01f2dGLBc2hJzHdZE2M0qjwWNCb0op4m6H0Kc6qW57VmQ6Hau57mAy+71WRWVQWP/3Iw9M45HPtMtCKPkGaG1B3mUfjNR2WRxYdMfOsjg/oIqniucvyRJlabQCKjHNHvzVRZ3nQ8pR+BWUOE5Vj23mYTeOpXQ53jfVZDVCVeryfj39cLlsNpj44vtKHKPC50a9vc7VTtcb24lhmjsFWXVoEOhANrPkGexchqEkhwIqb9E31+urcrZKSWhPnc9OjQAj69Zv/8CkPHFPptcvjVOzsWj23p8NtQj+GKMtNMZtq1MIVT4/Pu1hAZjqWtam2TPjpUU6fqw3fYFP5y0s55M4ipPaYoMz39Qfa4Jh8iVdtggl4SeX1oHiL6uQnfyBs0u2Gkl9NBmewo4+lDZAovlr9RSxlkX8tJSOZi8clUTR1JdbOj6bcyrJkWR3UVUabozrLUZITftSpSQ0T7QVhxVwWPTV1O1fS6YZ+RQgma/OUCxJT13SYk4LZoUjpy0GbG73WNqZoYs5FR+4ebt8JnkESJFsp2yN9Uhdbj8tFmoLZPPgtSILJN+lJow9tFNZuS/GuDFYG2J+8kntN67dCzHTx66q75lCeua92Y5I2SvDhhbv51NodUAVzc4Txz5zE7iGhpV1/18SFiDRGjcMG+fYQNHIu20rB7aeO2TVomqR9XclRQQi2PyRHaJ48RHteleTd1ZDw0fQb0OjV4fi6/jWN2LoQiu9bI1CavZ5RGTJMzvaa+5g49Msb28B9wx+j8JG/yIUKBAdmjTyey78L3sv2DtzBVHlePK4ROgx9B4FcGwbQQdu+TMK3gIOvivuN2FKYWE4NzuXaO3mmz/P20RV4hNkEvkKnb4ENU0BBRk1mI+YUIMAENkeG3MlDBlhh0U1IOx+mHo2kz8Dq3StCpOorJrFvb8ESiLpMZfY/jChX05L3Q77PLlCkPZRMi/nXGkMD1kc87HddakkUIBqTQfFz4qMt7Ke+D7ZJTwcpX4yEXQDSzuQnUNMrjym1dSTCz+6KLwSpFy4daOblfir24q9mpWkYzm2opYvtwwXfEoE3z39vwul4xhP+k4SizFIEP3BUH9curKvXCiLZJyfS5CEmvwRwp2Ycd/URMk5+vU7bTJ8LwIOhJBHFwoLvA710C0e8O6QdPjZ+Z29jeLjpYoi8TTTGAmBw2a0NMZqZJRJmIPVLR47U2HXurzq3hs2v2VxJbmjRE6BiKpoSz/vkJaYM6WWd9iMxtpJi0KHLQxbp0YYjyFNVVYI8hydLOUbvtiTOGCDNT2xaN84krqVYmaH6xaIiU12ZfIzwGIjV12Uy57vtFs6hnBbag+TrKQH/84F7w3Y8r4e9jvg83mRGzLp5P0U7VVAvnoSHCaKd3pv4Axw3uFbqtGv2nfkfPg5rMEHv2ZYBaQ0AUnoI8D1O/Rq3r4C06wlfSazmHNL/ZTGZygpdCObZLKezqeI5aRxaIgmOALegD+yi2HSNQpTnWlJyU3k312c/+Lx8pqSHS/bPcJrPqwHNJxynUctH5IiAQO65Jdj5wJwqNU6YmadiHKKXIlRNqMwqZqqv8nYC1HD04yJqSKfrmmMlE7MjiYaGaD8NxXKYVZeJ3tIvut0f75gFNVHODD1HWZBYtyow++z6J/mxRHlJwMKm76f3Aazpi+26Klkk3Q+pRZ3KXL1+wB2xBEtaZEjNSp+ow8Br7FCRFx0obeL5SUJGtoeUMXNGBihCkCISqs7ScrLu0VjUduq8RBYXye34xSM0WrW3qOnV6XaiwgBPP9Ydv76EhUs07eK9UTYRdY+GDj8lsn76dRUJWX20xbStlE5J1H02JuG3QFKoew1ruQfMzCrQjt9+gD5FJIFI1RNn9y0/QZCaFh+xvbZdbcXb3chIOjj+uaKuANinEh4gKvvJlIQ+RKuSFLYBpGaQN5LmkY+HiVesU4TJgMgU3YRHAcQoZJw0LRCkl71QtIqLcGiJZO0sfMOgAh34JbYj6U+JbuNOlITLNNfrkjQ+bvgeXI6+Pb4wgo/o76QOHSehCDVBUDRHFxwQTBZevFU3SF/AZCvgUZV9v272NME3R7fT90zxEYaAg7iM423Jq2QZyKpTq15PeclOCOvla0Vjk2ti1rRrJ53KqHtSzncgdpRxb28bV/+gixfdZUjVEqskM+x71IYpqMtM3j+JU7YMrUzWt3Scn3mbaNXEV8VU+VwQig0tAbj96qL/cHxUyqcZNjoF5AaKWaFOkhshyG6P6dlUZxh99wUaRwsaTH80MnHdYNwhmqpbFav1MZljSqSZ3z+hzScdJ7JtUuNSfKVvaDt9rxpmqQ9i4cSNcffXVsPnmm0Pz5s1hyy23hN///veKGhhfX3PNNdCtWzexzfDhw2HatGnKfhYtWgTHH388tGnTBtq1awenn346rFiRzUORVuSzsIFoiMK88KnjszSZ0dWNKbu0r4bILRAF25WdrAvvTXmI8DNXojCfwUCaX2TWb/0amYSu8LB7cK7GdEGkWKiKGoU6Ch1Q9VpGAY0RaRI1R5qjzMw+BraVnU/CS9++JNtJ74FvuQiXU7lc4epFdXVfq7D+od9at7No4Zx9/LHEb5RM1apAhM+ZbpqJEmembxklD5EPSpZt7brQlBJy7NFNsq58U1aNbJX9ulPBiWo7qamITuLSrEt9bvLalLyGyNwmxbfLRyAyJJ10jeGBbQ3Cp80EmheIIJ6GaNbi1fl7S8cjXdNN5xj9Gvy4Irgwp7BAVCS33norPPDAA3DvvffC5MmTxfvbbrsN7rnnnvw2+P7uu++GBx98EMaOHQstW7aEAw88ENasKZSoQGFo0qRJ8Prrr8OLL74Io0ePhjPPPBPSjHzgs7XMCnVwTPz+iO1FeOUdx+xgNZnZnKp9B3E6GOjY6mcFfIgMYSw2s5ndQVh9P3fZamUA0idlkwZEhN07BCLjcSNqiPSCnS6mzi8I5901x1YalZb1qwCrTxEdoOjgakrMKPPo+JnM/DREvhRMZrWF83BoiGzCcUBDlHvdVROIXMVdTf1D78+ue120hkgzQ+mr8KirZj1CLopTtQ9KSRXtWLSYcV4gCmiIgiYz07Pu0kRl95MzmdE+T8YSOvbRepGy+HPBxETLduR+Y7nkit+fx4IItwj6EFV558IyRpnZjkXOB5FaL/34tucY/e1qDCYzPYu9S0NEF6d6u8Q5kO1vOjJoTmYNUQgffPABHH744XDIIYdA79694ac//SkccMABMG7cuLy0fOedd8JVV10lthswYAA89thjMGfOHHjuuefENihIjRw5Ev7617/C4MGDYffddxcC1ZNPPim2Syty3KEmM9vDdOKQXvCvM4eIJI82DRGqik0V6n0nukdO3UXkA0EHTJ+OnE3ARlfvtvwb9hwkErooGrJ5R8UXYP5S9SEMmMxMTtW1qio4eGwI9yFyDFBYhfv+43eEOOgTGh3k9agqHHJV/xrz5GByUDap1G1aINTkhGknfYUBRUOUz1Lt71ugC0fUJ0P2ZZOGyBbNZBKIopjM6HXRa5JZf6PktAoKMIpTdVSTmfY+Uti9B7SP6M/aJsR3SwoXYQIBDfd2BTHoyP3Qy0OPRTVTsnAq3YaamLydqptF1RAZtD6O8VYfC42JGS23sxB2H6IhcjynNXmTWWFs1MfJlmSBFhCIDUlnTQEdyN6GpJ8sEIUwbNgwGDVqFEydOlW8//zzz+G9996Dgw46SLyfPn06zJs3T5jJJG3bthWCz5gx2XpH+D+ayXbeeef8Nrh9dXW10CjZWLt2LSxbtkz5q0vyUQVkBWPLeSJRTFSaQISqYpPJzHci26lXB3j70n2EA2bguIbBQddeiInD8DC7krKZwIfu46uGw9jf7Zevskz3o0/qxrB7h8kMkydi3SxXe/TcS6jVOXyHgh/Kz3fuIfYTFRSkdKiKGlvgzkNknhxMoemF7ahTsLkvYD6fsGjEsGK/KnIlas5No2MT+qwaIk3LhtvYchk1L1JDFGYyM/2UCnEBn5+Mf+mOLoYJSN+fTyh9FGzmS11DJK+Lfk2CUWZVcMYeW8CmWo40uplJKJRClKIhogIROW4vUpstH1qfe4+L6kLYvdupmt4XvxDxqsD449QQaTnKTIl6beRD5jfUwoJla2DhynVGIV1/juk41ThvMqMaInWcbOFwqr7y4H5w5KBN4T9nDzVuo/ad4DmwU3UIv/3tb+HYY4+Fvn37QuPGjWHQoEFw0UUXCRMYgsIQ0qWLWnMH38vv8P/OndVJvKamBjp06JDfxsTNN98shCv516NHIS9OXUAHWintuxzygpEZ6soLNSomk1kSRVe9nKotx7GZzOg+lXT11VVCEyYn/AdO2BH269sZ/nvOMOOkHkUg2qx9c/joyv1E1vCwc6QPt8i5YkkE58PuueNdOLxP4DtqMtPD/fVM1XQopxOCLihTfDREGAocpiEKK/brUu9HyT+imAi1xHyy/XhONH+KyD5MtsOsuhKjybAqOadqk5BJn2N9UkH/DcWpuroKDh7QLbCP6w/bDi4avrWh6VX5HD3D+3WB2346EJKEtj2oISpMrrJ0RMBkZhCI8HfvXb4PHELO0zaR6p+pPkRmgah7u2Z2DZEwL0kfIreGKGo6BKEh0gUiZ5SZuu0PxCcnTCMlAxq++WEl7PqHUcInyNS/9T764Ak7ikXXVYf0y/dVKhBRDdGuvTs4TWad2zQTbhu4eM6322IyM+auS0F111RHmT399NPw+OOPwxNPPAGffPIJ/P3vf4c//elP4v9Sc8UVV8DSpUvzfzNn5nLi1BF0HJX24LDK9rpARAcFIRAVoSFyYZLs9ckaTRYmba8rUZgJ/SHcrntbePiUXaBftzbG701Ow/i8m0xmelkBrUHWc8bf0YFPLxUQxoMn7iRKmfxkgBrtFHSqdgtm9DsllNvgVG3aznYvhEBUnZyGqKqIgVBxbkdTmCUaiWpP8PxpbSeqQTI6VWvvXXMR1biZtIKmOn+ulTKac5XQ5qoq2LNPJ3jx/N3z/i/IycN6m83Nuf0N3bIj/PXknQOal2JRfXvU76hAgiHauulKN6OLz3LvRbSdJceNSfiQgqjNb44ueOj91pMvZjNV+yVmjBr9h00LOko7TGbauDFvacEPNsyzQaY8eGfqAuXzgIZIe8YHbNYOJlx3IPxyjy3ywhrNVC0X41heCt0mWmoLtDCs5u6QbctFqgWiSy+9NK8l6t+/P5x44olw8cUXC+0N0rVrV/H//Pnzld/he/kd/r9ggdpJNmzYICLP5DYmmjZtKqLS6F9dQjuPzDoaNinpfi5NAhoigw+RR9XmMIx5iLTBL1vcNRPbqZvu14VuErKG3RvyEDkTi2nvFSFDS8DmckA3gdsP6tne+F0Lhw9RxiAgmKJsdOGNoiQFtPSFXXq3V/qSSXAy9S0behtMx/WJrBLZdWliRvKaCmh4/gtXrDPeH1NiSp/SHYW2V8HdvxgEA3u0MzqKolAyYLO2ooCzRC1IXBXw+WndtNB21F5ge7D0gq55NAnvpZ5S9Ag5G1iaB1HqtJlM65qm1fS5uY5XMMqMPus0BJxqWQtCT05DpDhVh+Qh0vJDhYHXRxeIXBr5lprJTJaHEccjGi0TUvCWOYwkemJG/fjCDy93fRvnS3cENUQYJIL9T4le9RIKzYsxU99lH6IQVq1aJXx9lIvWqBHU5sICMRwfhRr0M5Kgrw/6Bg0dmrVj4v9LliyBjz/+OL/Nm2++KfaBvkZphXYkuboNM2/pCfjoxIMJ/kyJGZPIDmpzQqa3LlvcNUgTD0dUKkeFC0Tq96ZVNGa3NZnMXKabQCi29qDTgS+qycyFEmVmyEKsm5DMJrOgWckkOJg0kOgcvm/fzprzcHA26Ne1kOk5DBr1U0zKft1kRvfTQguRxiriEpvfie1eu54R7NeHDewO/zt3N9isfbAIKWounz9vd7HCNh1f3zUK69TMQSdFPWLMnCEeSoqruCvy7mX7CE0CZpHWNRSm+0y7o1qoOaw0UE5DZAm7X5LTUEm2ztWJ3H+77CJY/kqtZaYKS8VqiEwmM9f45coab9VcawIR1Sr5lO7QrQrIekPYvbw2Uc2GamZ5e7/PflZ+DVGqS3cceuihcNNNN0HPnj1hu+22g08//RRuv/12OO200/KdBH2KbrzxRujTp48QkDBvUffu3eGII44Q2/Tr1w9GjBgBZ5xxhgjNX79+PZx33nlC64TbpRU6eMiw7LCIMCqA4KZ00kcNUan6m2k1jw8LDcO02c6p5gHbFxYU4+tc6IoiuvLZL2BPMkGFtVG0LeRBb96kOraGyDf7czDKLOjsbTaZFbZHU8pzn83J73vgZtmVvK1/Hbhd10A6A9z3cigIGD/daTOj/5ONjlpGa3MW3vD9BGqZkRNtRcwP2CdOGNIL/vPJbNHWSXOWOgXmgFO1Z5SZL/RaGrU8Fo2eHkFfjkklTEOEebRoLi0qpLh8gfTJOtxklvP3qbaZ7NQkgS+cv7soPSHNmnKXWR8iNeLSajKL6FSN46Jv2DuiL9KOG9wTnhg7w9kmiTyvmTnfIUmgdId2fLrbxnmTGXGq1pJWKk7VHn3NZiYz/TYNtcxSbTLD8HgMtT/nnHOEYPOb3/wGfvWrX4nkjJLLLrsMzj//fJFXaJdddhEJFzHMvlmzgt0Y/ZDQMXu//faDgw8+WITeP/TQQ5BmzLk3ojhVVyurS3wwfcOCo2J6LrAtrYjqHx2WTcIOfWBtg0XGsxik0anasuoaPfWHwGfuQpN2MwqOI6XSEFH/Bz1yL2Oo7WVyJKXXBIsxSvbftovSp07dbfPA8QvqdLOGCB0t//SzgYomKwzsh9QfxiRUDOphNiHa1P36flrS8ODqKuHw+f5v94WL999aEThM9df01jjzEMUwOdsiAynXHbqtKHCM+cVsSRZNmquSm8xCTFk6dMwxhtdbBCKbKVg/tk3bh0la9XZQH6+CySzoQ2Sb6Km2xxQtF8DgQ+S6ZtTP7fWL94TfHLAN3ZWABguYNES6b6SuIcLzxrG48B4C48R6Gnafey3vIxUKXcltoxRpzn+WAoEo1Rqi1q1bizxD+GcDb/ANN9wg/mxgRBk6Ztcn8Lx0jUm4yUwduNAZVufRU3cRpT526tU+Yqi0q62mtlTBhfttBW9N+UFExNiEMepIaS0gmvFfkftkqrb+NrbJrFpRd0d1qnZBkwzqBXNdpgUUUNB8odddQ8H4rmN3gP9+MlsIB5Tjd+0JAzZtC4ff936gHYqGiAixcV3QOrVuCssMRSwlPTu2gDcu2Qvak1pu4RoiIhA5KsbTw9FacTatjW8eIl/UXErm359iEE51k5mpXWGmlWKhArSXQBSiIVLqv1n2XeNyqqY+ROQZvOvYQXD9C5MCfVyiVrtXo8xsl1DRrhhSDszVzFW4RcCHyPHAUIGoT5fWsHR1Qcslz/P03TeHT2YshoP7dwt13qfnRNm8U8t8FJri59nIFHa/URFWqYAl0xW4sI1PVYbLwBoixoneQcJMZrRz44CC+WN0MCEW5snZcpNW1ocoCZMZNv3Eob3hb6fsklehm6xhaqXv8Nk1TE3rqiQehtupWpskq7XX5OSSNJnpOXX0hJWuVRde9+6GKCPUEqGTb2etCCqu0NA52AS9N6pfSDyJiK7WbQPhVp1bKclGo5jMqFDqWs23N2iI0KyGyGvhdKqOkcGb/iTKojigITIrJUqKra6cDTqB0vFLmmr369fF7FRNdr3rFh2s110X9iXbdG0NT5wxBHbpbckYn2s7jTKTAo/tntD2YQUBysMn7yLOieYwE6U7IoTd79FnE2X8oJdXvkZB/9FTdxVjOMU2lpvyh+HYb6Jx3qk6mJixUOctGOzjwlZayKX1Kyep1hBVOtlOU3jwQn2IdIGIrDhKiWlcNHVuU5QZfWB9ciKFzT/0GuHgHaXkhOv4AUdbTUNEMwJH0UqFQYUWXDGqlzUTEABLhawTppvM4g5idACPK1ThoWtsJjOHhohi0hBdsv/WsGPPdnnHYFcXotfFv93hGiIT+iRsNDFUpcxkZtEQ/fec3YRGhN4nOhbQc0NN9pc3HAj3vfU13PfWN0o7bNnZwzBpiAq/N58XHUuoFkUWVP7febsHNUQRnKoP2r4r/O2UnUUqkUA/Cbmx1NcwrI+ghsiZ3HFjMDGjaWFJNVpRtaGmy5BkeaC4lL8FjJVAMdSQAYh+W7cCkZ/q3qwhcvsYZH/nn7FVr4EUlmdJ3b46lskMBx06QCZptqDtn79sjdJe1P6oq+rSzYb03lAzVmyBiGqIYiZkw+tuM624omGoKdnkk4HX9IDtuua/c5vMSuNDZCLoVG147qC00HvlE3ZtC7vHe6L72rn6MpqAqVBQEIjcARQ25L7wmspxUmqzfExmunBqPIbBh8g16eO4sW/fLvnSM/Tcwi41am19NdMovDk1RLUkyixnFmvSKHhtfUxmqlaIvlZPaMtNWuY1s+WENUQpRi9AGlaokarUccDA5HSmgntJY3pWTROl7uioDzI+E2OoUzXZR++OLUNLTuCALSfIxpFMZnRiUHOUlAoUiHDQ/Oya/cUqDicJW0bqpKHXVa+ZFwe6oo27jyrdl4vc65bEqVpfSCwjvhk+k6jbZFYaHyITel0yc9h9aUUipQ6bhyxIr2+Uenimc6PnL69h1q8uK9hE0cwWbkEmP+lLbY5NAKbPvE+NuCpDfq4ofZ2OOT63Fc3Eeh4iEzv3ag+n7tY7YGarMUSZ5Z2qDRoimeHbhS07NT2fvl1bw8iL9oQ0wAJRPUL3J9Gh8hI+vHcek3UsPH9f/5Do5JyqwWiKmLFolbISoBO6T8RO2KBK94EJ8cLUsDhgS4HINTm6moYPPZYdeHXSvEhV7qMyf9naQGRUOTRENGw+riOkjw9RGDgZ0izXVqdqXSDKOXP7oudxoiaFWFFmpD3SjIyJDCfOXprPuG5CNzkbLWYlVhGFVaHXUc2r1RHSEQS/p1oZ3V+ydmNGSX0Rhvz5G5MX5E1IMkWAzyUMW5zKfmMzZUVpY7ZN4a3K9vnwBTBeu2sP3S7weY2hdIcUeoy+SIbaizqNIvgQpQEWiOoJmLpfr+IdRNUQoVPqPwyFSpPG1LVNHR4ncnQIpNAJ3Woyo4JemMmMTJCY3TfMZEYHbFfWbNeAJOvGPXDCTlAKUJC8/fWpcOMRwUzI1MG5lNoB6l/VqWXxGqIuRLiPuw+3D5E9oy7VEPnQSPNnkYUz9WP6Qgv2yn3/5aSd4Z8ffi9yz/hOwlX1wmQWXivPqCEy9AmbECJ9LU1lemzQazf9x5XGOmcuqBbFfpBg6Ywo2DQqNlpGSH1horGhdIdJQ/T8ebvBqMkLRMRbFOHflkrBtQioa1ggqifg5B4GHS/q0mPfNDD7rgDoIGibXOjQE6ZNoCt2XHWHDcKKQOTMFGvfR6mv9QX79REq7tYhtehK2QybhijuuQ/crBDNtnJtPF+3bEoB8ySqaojU3y1bU4RA1FwViOIUR8aFwe8P305MFjJ/E2p/f3NgIe+MiSMHbQb/+WSWyP2kt6vuTGZkUvO492GJGSmKU7XhPGxKGbltswhO1SaBJiwxI2Uj8bMJG1vwmulO2D6Yosxc0EXADj3awb3HDYp0vJrc9V9fmxELsDlLVudNcFSww/pn+OeD6jekvsZFPqb/uGC/rSAtsEDUgFB9iOrOX97Xh8iEEsLtE3Yfsl8cgPfZZhNh1sCHdiGpGG3e3lwhOwp1of41CUM+k0hS0HtDfYjiHpOW70BTURyk/4hJGFacqrU2+jiDUug56uVv4j5nmJIiKr8/YjvYo08n2Gebzrl2BbcpdU9UTFURNURhixnFH86wrZ52IN+O3LZRfIjWGULGo2iYXALOFQf1hSfGzYCLhm+dr0Qfx5czSpQZ0pJoiIb362wsJeOice46Yqj93aOmJVIEXIl81qIrcZHvs9CvS1ggakDYagGVR0Pk91v6oO2xVSf4fOaSgDBFfSdsmVppWx4hZrlQkxkViBw5i1wr73Lmz6gzDRHZOXWON+W6qiuEoYRqRS1h93Gj2GwmM0qx+44CapOOGLSpO1N1iZtDd++jIYqSXiFs/LIJRHLbKALR0TttBje9PFnxBwtzqvb1IfrVXluKP0mHFnEFomj3ldbvi2Oqq3EsSJNYLKbUbUiBw+7rAb5Op5hw64QhPeH8fbcqueqcYjqU7/Hpg4Y+T2/+ei/45Kr9A9vdcPh2cHD/rnD4DtHqz4U5VdPju1aIrrNJi0BUUh8ichxa/2slKZoalasO6Sf+R4f0uIMtnZaohoj66dgCgmj5EBd0ZasL5OXMnWKeuEvbF03FQF3069ba21QZGmVmEUKk8Bu2WNI1rg+dtLPyWd6puspeiFiyxSbmXD4m2reMVxGAPs8+zzat30dNlb7UOIT7uAJR3IjKcsEaonpAlM544xH9oa6pSkrDUV0FW1iyqJ40tLf4i4pPlJmPhsg19vuYDkqFajKrG6GcXlOfMF8b6JSJSegwGjAO2CSqPbT5EOkmsqfOHAK3jvwKbjh8e7/jkG6h53opZ7mBckSZ2fLK+Jh6p85fHmks8NUQ/eGo/jD9h5XQ25Jw0EZLzQlZapio0HfnMTsI89HZe2c1Pv85eyh8+O0i+OlOaqZoF6Zs6FHxua20nmAcDVFjhwYvtslMCbuH1MMCUT3A5eybBooZhJWwXMuOorsjFojiVO3SELnU6OXUEKl5iErXDpvz+4qIIewUXDEO3bJQvDQq6IhM6z3ZhDY9QSlmoMZMyb7Q+4tCM15zmcE3bRqiUvdEmnk5an+j5qk4wr1NQ4Q+Vfu4/dGNUE2nzam6T5dW8MzZw/Lvd+rVQfxFAX2IisVniKGLgCgli3zGsSYx+zkdfn38oMoNm8zqAXHVlXVFMR1dDbWFxMFJ1/Uwq1Fm/pmq01KlWamv5JEsLi7U/4O+XlmEhiguD56wE5wyrDccSfxpXPchjvmAQgV17EtRkg2WEpNAEieaKWopmctH9IVrfrKtd2boIYZaZCaa1LjNcR7F1YsSiEzjbFxBgIK+kcXiY26iZuIoWbv9ShdVQRyUrOzpnsYErCGqB6ReICpKQxS+4ix2nscHHX1/cXA7cPuu8OKEOfl90oHDHWViP8malAhEpZwMlWguqiEqg0A0Yvuu4i+sb9x8VH/4YvZS2G3L4iYkKmjh9UYBa+nquo/mDLYr+FldOLlL85Evd/9iEFz//Jdw4tBezu1oeQhz2H2y/VvRqNRU5yf99UTySkI7j3319p8PzNcoK5nJTDufyMeoypbCkZo4FGTRPFgMruLTaYQFonpAHGm/XprMNMHisIHd4fnP58Cv9tyimOaJSWzluo2we59OcM8vBsHcJath/PeLI2mIOjgcI8v5oNMVrKxMXQroKdJolHIIRLY6dzq/2NWe5DCuhghNZNRMFicPUVKYTMx1Vb8wqlbpvuN3DN0uLOt60gIR1RDR41HTXhIaIhQ0jtqxuDpdPkOM6lQdb86oIQIRamFRIIojXG3brQ18OXeZUpWAnaqZytAQFWEyc+Ue+ePPBohV5aAefknAbMgJTO4ek5YVBCI/DdFlI/qKsiOmSbacPkRUOCm1uSR/zOoqOHC7LvDqpPlw4hD3qr8hQPslnruaHbt8z2Z9mGCSTCHhUy4jCtQJmdYmoxqicgq8KlURnarj9csMeT1ki47w8gV7WCPtXDx91lCYMm857NizMHan5Uq6YA1RPaCY9O91QTHjsuKsq42CeN675LLyFoM8hpxAdiAPKfUvcWmIsPbWk2cONX5XToGIQlPulxIUMO84ZgcYO30RDN0ivlN0EpTQbcpcv6tR1qyQBnNpWvpdUlDhw3RuSWuI6DEyFoEoLUKnn4aopmgN0TqiZcY0BrRuYhSwLTv1aq98Vh+6a7pVD0zsiIG6pJhBIyz3SBI0MWiITCv8uINIWlaRYVE8SRWXxOuIq1GM7km7OTcJaL/MaojC6+/VBfVhgkkyp9bgzUsnfFPlE5p70vRc+4fdF591n5K0MMg+REwibNa+eaqvZFVS2q8SjT8Fk1n2AJu2aw57b7MJLFyxDrqRIqNRB5Gz9toSXvh8Dpy2W3iRw7pgg0d9pSjYBNS0rJqRTB07L2PtNKpZKKdQUh8mmChQfx1T3zt+cE/hCD148+K1xi7tE2pFxl81PFLm6zTca+okXuxCpaoEXStN44YNNpmlmIdO3An+/fEsEeZaCSazpH0E9GPIQQUfzEdP3VWoyZ/5eFbsQeS3B/WFy0dsk5oH3asCdwQUn650nGJ5TGaahigt2XfLme6hFMgUGVhh3RRBh9pc6qRbyn6EJvI04dPNqABXrIaofQLJJHVSMkw6YYEoxRywXVfxl3aK0xCV3ilYqr71BzJbHLSq6FDVtEB9H5KgHshDsGsJtAU6is+Q5kNUTlLSjESRKTIamvarWHwuBx2/aKmdOLRrEa/cSH3vrywQMUVTjFBAnVKT1nDYTGYUOrnVd3+YpARKFDLGTV8EPyPlCdIk+FHQcfPfZw2FHhEre0eBnrseZVZOylkyplTIFBksEEWP5MVCukfs0F1oDvUixGnQEFXXg/7KAhFTNFUJTTYbE/aBCZrM3L4DaU9vEEZSAuVfTtoZ3v/6R9i3b+f8Z1t3MdeYSwNJRCL6ovsQlZO0CqlJPKtpucapocqvP9x57KBEDtcuQqFcX+pDd2WBiCmehDp6qUxmhSizKmeYaX3XEK1PSKDEcNuD+6sV6Ads1k6UzOjRId0O/qVGaIhSEn3UEGUG3d+PyVLXV2Orzq0qUoBngYgpmqQGrwGbFpeAMcxkZnogqd9NEllpG7KDsSyXUcmg5gK1RGlAyY9EMgzXZ/QkqgzUqYB473GD4KUJc+GC/fokvu/6IOSyQMQUTbHdHENcF61cBz07tqhzk5msWi6+51GYCSFNPkRUwMcIo3KXUUkCuSipK5PZUYM2hf9+OhtOGJJMmZdSUVeyxE8GdBd/pSAlilUnLBAxZX9YMcS1lGGuLqfqpJMZMg0bdFxNi3+LHhDQEAQi6cdXV+aVPxzVH44YtCkM3qLu/NDikI4eVxxsMmMqgmJqmdUFTWqy7TNZOkpZEJVpONx17A7w7Q8rRVRbWjREtBm0BE3DcKqum+OhILnn1ptA2qkP5qYw6sMpsIaIafAdvYmnDxHD2Dh8h03zr9OiIaKTZJqyKpdKm1vRNIDLUV0P7mnDWFYwZSXt/dzlqIlZcRkmCunREFUZ61jVZzjKrH5q4X1IyWPjhAUiJgHS3dNl1lbTCqVXiRy5mYbL+fv1EVqiU4b1Ts0E0y9XkLS+40qRUck0hMtRlfJ5AmGTGdPgH9btu7dVqlhTjtm5B/ywfC3stlWnMrSMqY9suUkr+PKGA9XCxGWAmu5+vksP6Na2OQxJuXNw2nyI6gspH2K9SEm2CicsEDENXhV6yIBusMfWBxjT2WPByIuGb12WdjH1l3ILQ7pPHGpULhyefO6YuoZNZvVz0dlQoszqgczGpJ36oAottrZP2gU+ZLvuDcNswlQueZNZ2ldZdUxDMCFWQfphDRFTNA3gWa3X3HJUfxiyeQcYsb1aboOpHHo3EF84WT4nLY7raaEhjLGHDOgGj4+dAZu2S2/5HxaImKJpAM9qvaZ1s8Zw4tDyOvgy5WHclfvBmnW10K4E1cnLASZJ/OaHFYFaekz9H2WHbdkJRl60B2zWPr3COwtETEXYhhmmIdK5dTNoSOzQox384/TB5W5G6mgoCrO+XdNt1mcfIoZhGIZJMbzmrBtYIGKK70T8tDIMw5SM+hC40hBggYgpGpaHGIZhSgePsXUDC0RM0fDahWEYJnlOHNJL5GY6Y48t+PLWAexUzRQNr14YhmGS5/dHbA/XHLptvh4jU1pSf5Vnz54NJ5xwAnTs2BGaN28O/fv3h/Hjx+e/z2QycM0110C3bt3E98OHD4dp06Yp+1i0aBEcf/zx0KZNG2jXrh2cfvrpsGLFijKcTcNkl971u1wAwzBMWmFhqO5ItUC0ePFi2G233aBx48bwyiuvwJdffgn/93//B+3bt89vc9ttt8Hdd98NDz74IIwdOxZatmwJBx54IKxZsya/DQpDkyZNgtdffx1efPFFGD16NJx55pllOquGx/7bdoE/n7hTuZvBMAzDMLGpyqCKJaX89re/hffffx/effdd4/fY9O7du8Ovf/1r+M1vfiM+W7p0KXTp0gUeffRROPbYY2Hy5Mmw7bbbwkcffQQ777yz2GbkyJFw8MEHw6xZs8TvfVi2bBm0bdtW7B81TUyQnX7/OixcuU68/u6WQ/gSMQzDMGXHd/5OtYbo+eefF0LMz372M+jcuTMMGjQI/vKXv+S/nz59OsybN0+YySR40oMHD4YxY8aI9/g/msmkMITg9tXV1UKjZGPt2rXiItI/xk1qJWuGYRiGCSHVAtG3334LDzzwAPTp0wdeffVVOPvss+GCCy6Av//97+J7FIYQ1AhR8L38Dv9HYYpSU1MDHTp0yG9j4uabbxbClfzr0aNHCc6wYZFiZSPDMAzD1F+BqLa2FnbccUf4wx/+ILRD6PdzxhlnCH+hUnPFFVcI9Zr8mzlzZsmPWd9pnivMyDAMwzD1jVQLRBg5hv4/lH79+sGMGTPE665du4r/58+fr2yD7+V3+P+CBQuU7zds2CAiz+Q2Jpo2bSpsjfSPcfPgiTtBr44t4METduRLxTAMw9QrUi0QYYTZlClTlM+mTp0KvXr1Eq8333xzIdSMGjUq/z36+qBv0NChQ8V7/H/JkiXw8ccf57d58803hfYJfY2Y5BiwWTt459J9YMT2XKmaYRiGqV+kOjHjxRdfDMOGDRMms5///Ocwbtw4eOihh8SfrLJ+0UUXwY033ij8jFBAuvrqq0Xk2BFHHJHXKI0YMSJvalu/fj2cd955IgLNN8KMYRiGYZiGTarD7hHMG4T+PJhsEQWeSy65RAg3Emz+tddeK4Qk1ATtvvvucP/998PWW2+d3wbNYygEvfDCCyK67Oijjxa5i1q1auXdDg67ZxiGYZj6h+/8nXqBKC2wQMQwDMMw9Y8GkYeIYRiGYRimLmCBiGEYhmGYiocFIoZhGIZhKh4WiBiGYRiGqXhYIGIYhmEYpuJhgYhhGIZhmIqHBSKGYRiGYSoeFogYhmEYhql4WCBiGIZhGKbiYYGIYRiGYZiKhwUihmEYhmEqnlRXu08TsuQb1kRhGIZhGKZ+IOftsNKtLBB5snz5cvF/jx49ir03DMMwDMOUYR7HIq82uNq9J7W1tTBnzhxo3bo1VFVVJSq5opA1c+ZMZxVehq9zfYH7NF/nhgb36fp9nVEzhMJQ9+7dobra7inEGiJP8CJuttlmUCrw5rNAVHr4OtcdfK35Ojc0uE/X3+vs0gxJ2KmaYRiGYZiKhwUihmEYhmEqHhaIykzTpk3h2muvFf8zfJ0bAtyn+To3NLhPV8Z1ZqdqhmEYhmEqHtYQMQzDMAxT8bBAxDAMwzBMxcMCEcMwDMMwFQ8LRAzDMAzDVDwsEJWZ++67D3r37g3NmjWDwYMHw7hx48rdpHrF6NGj4dBDDxUZSDGD+HPPPRfIUHrNNddAt27doHnz5jB8+HCYNm2ass2iRYvg+OOPF4nA2rVrB6effjqsWLGijs8k3dx8882wyy67iEztnTt3hiOOOAKmTJmibLNmzRo499xzoWPHjtCqVSs4+uijYf78+co2M2bMgEMOOQRatGgh9nPppZfChg0b6vhs0ssDDzwAAwYMyCemGzp0KLzyyiv57/kal4ZbbrlFjB8XXXQRX+uEue6668S1pX99+/ZNZ5/OMGXjySefzDRp0iTzt7/9LTNp0qTMGWeckWnXrl1m/vz5fFc8efnllzNXXnll5r///S9W7cs8++yzyve33HJLpm3btpnnnnsu8/nnn2cOO+ywzOabb55ZvXp1fpsRI0ZkBg4cmPnwww8z7777bmarrbbK/OIXv+B7QDjwwAMzjzzySOaLL77IfPbZZ5mDDz4407Nnz8yKFSvy25x11lmZHj16ZEaNGpUZP358ZsiQIZlhw4blv9+wYUNm++23zwwfPjzz6aefinvXqVOnzBVXXMHXOsfzzz+feemllzJTp07NTJkyJfO73/0u07hxY3Hd+RqXhnHjxmV69+6dGTBgQObCCy/k/pww1157bWa77bbLzJ07N//3ww8/pHLcYIGojOy6666Zc889N/9+48aNme7du2duvvnmcjar3qILRLW1tZmuXbtm/vjHP+Y/W7JkSaZp06aZf/3rX+L9l19+KX730Ucf5bd55ZVXMlVVVZnZs2fX8RnUHxYsWCCu2zvvvJO/rjhx//vf/85vM3nyZLHNmDFjxHscyKqrqzPz5s3Lb/PAAw9k2rRpk1m7dm0ZzqJ+0L59+8xf//pXvsYlYPny5Zk+ffpkXn/99cxee+2VF4i4PycrEOGC00TarjObzMrEunXr4OOPPxYmHFovDd+PGTOmXM1qUEyfPh3mzZunXGOsZ4OmSXmN8X80k+288875bXB7vBdjx44tS7vrA0uXLhX/d+jQQfyPfXn9+vXKtUa1eM+ePZVr3b9/f+jSpUt+mwMPPFAUdJw0aVKdn0Pa2bhxIzz55JOwcuVKYTrja5w8aKpBUwzttwhf62RBNwV0a9hiiy2EewKawNJ4nbm4a5n48ccfxYBHbzKC77/66qtyNatBgcIQYrrG8jv8H23SlJqaGjHRy20YldraWuFrsdtuu8H222+fv45NmjQRwqXrWpvuBb1XDMDEiROFAIS+FehT8eyzz8K2224Ln332GV/jBEFh85NPPoGPPvoo8B335+TABeijjz4K22yzDcydOxeuv/562GOPPeCLL75I3XVmgYhhmMirahzM3nvvPb5yJQAnDhR+UAv3zDPPwMknnwzvvPMOX+sEmTlzJlx44YXw+uuvi4AWpnQcdNBB+dcYMIACUq9eveDpp58WgS5pgk1mZaJTp07QqFGjgDc9vu/atWu5mtWgkNfRdY3x/wULFijfY/QCRp7xfQhy3nnnwYsvvghvvfUWbLbZZsq1RjPwkiVLnNfadC/ovWJArJi32mor2GmnnUR038CBA+Guu+7ia5wgaKrB537HHXcUGmH8Q6Hz7rvvFq9RA8H9uTSgNmjrrbeGr7/+OnV9mgWiMg56OOCNGjVKMUXge1SXM8Wz+eabiweGXmO0O6NvkLzG+D8+jDhASt58801xL3Alw2RBn3UUhtB8g9cHry0F+3Ljxo2Va41h+egrQK81moOoAIordAwvR5MQYwb74tq1a/kaJ8h+++0n+iJq4uQf+hGif4t8zf25NGBKk2+++UakQknduJGoizYTOeweI54effRREe105plnirB76k3PhEeJYCgm/mF3vv3228Xr77//Ph92j9f0f//7X2bChAmZww8/3Bh2P2jQoMzYsWMz7733nog64bB7lbPPPlukL3j77beV8NlVq1Yp4bMYiv/mm2+K8NmhQ4eKPz189oADDhCh+yNHjsxssskmHHZP+O1vfysi96ZPny76K77HiMfXXnuNr3GJoVFm3J+T49e//rUYN7BPv//++yJ8HsPmMVI1beMGC0Rl5p577hGdAfMRYRg+5sJh/HnrrbeEIKT/nXzyyfnQ+6uvvjrTpUsXIXzut99+Ir8LZeHChUIAatWqlQjlPPXUU4WgxRQwXWP8w9xEEhQyzznnHBEm3qJFi8yRRx4phCbKd999lznooIMyzZs3F4MiDpbr16/nS53jtNNOy/Tq1UuMBzjoY3+VwhBf47oViLg/J8MxxxyT6datm+jTm266qXj/9ddfp/I6V+E/yeqcGIZhGIZh6hfsQ8QwDMMwTMXDAhHDMAzDMBUPC0QMwzAMw1Q8LBAxDMMwDFPxsEDEMAzDMEzFwwIRwzAMwzAVDwtEDMMwDMNUPCwQMQzDMAxT8bBAxDAMkwB77703XHTRRXwtGaaewgIRwzB5TjnlFKiqqoKzzjorcFXOPfdc8R1uQ5k5cyacdtpp0L17d1G0uFevXnDhhRfCwoULAwID/v7JJ59UPr/zzjuhd+/eyja2P/wewe1N399yyy3Ou4kVtk899VTYbLPNoGnTpqJI7S9+8QsYP3489wKGqXBYIGIYRqFHjx5CaFm9enX+szVr1sATTzwBPXv2VLb99ttvRWXwadOmwb/+9S8hcDz44IOiejVWqV60aJGyfbNmzeCqq66C9evXG6/6f//7X5g7d674GzdunPjsjTfeyH+G30tuuOGG/Ofy7/zzz7feTRR6sLr21KlT4c9//jN8+eWX8Oyzz0Lfvn3h17/+dexesG7dOigVtuvEMEzysEDEMIzCjjvuKIQiKnzgaxSGBg0aFNAaoVbotddeg7322ktsc9BBBwkhZvbs2XDllVcq26M2ZsmSJfCXv/zFeNU7dOgAXbt2FX+bbLKJ+Kxjx475z/B7SevWrfOfy7+WLVsa94slG1Gz1adPH3j33XfhkEMOgS233BJ22GEHuPbaa+F///tfftvLL78ctt56a2jRogVsscUWcPXVVyuCyXXXXSd+99e//lVomFDIM7F48WI46aSToH379mJfeF1QcHSBWq4HHngADjvsMHEuN910Ezz66KPQrl07ZbvnnntObKu36R//+IfQnrVt2xaOPfZYWL58eX6bZ555Bvr37w/NmzcX13T48OGwcuVKZ3sYppJggYhhmABoAnvkkUfy7//2t78JUxMFtT+vvvoqnHPOOWKSpaBwcvzxx8NTTz0lhBFJmzZthJCE2p26nIw/++wzmDRpktAEVVcHhz0qcKCghUIIapDuuusuIbzdcccdyvaoCfvPf/4jBEXctwkUwFAr9fzzz8OYMWPEdTj44INDtT4o3Bx55JEwceJEcR98+eabb4Sg9OKLL4q/d955J29CRO0ZCqO4v8mTJ8Pbb78NRx11lHJvGKbSYYGIYZgAJ5xwArz33nvw/fffi7/3339ffEZBbQdOqP369TNeQfwctSQ//PCD8jkKUKhVuf3224u68qjJadWqlfKH2h8TUjOD5rEw0KQ3bNgwoWk59NBD4Te/+Q08/fTTATPZY489JjRmAwYMMB4PBSHUIu2xxx4wcOBAePzxx4XWDIUWF8cdd5wQPlE7pZsoXdTW1gpBbvvttxfHPPHEE4XpUgpEGzZsEEIQnhdqivA+4DVjGCZLTe5/hmGYPGiuQrMSTrAo9ODrTp06Ga9QVC0DOjOjhgj9fc4+++zYV/3SSy8NOHhvuummRbcRtVp333230LisWLFCCBKo2aKg47g06ZlALUxNTQ0MHjw4/xmaqbbZZhvxnQv0yYoDCjqo3ZJ069YNFixYIF6jQLbffvsJQejAAw+EAw44AH76058Kcx7DMFlYQ8QwjBE0r6BA9Pe//91outlqq62EH4ttgsfPccI1CQ6obUKh4sYbb4x99VFAwzbQP910J0GfIOSrr75y7hNNW2jqQ9MWmp0+/fRTYeLTHadtvkpJoO8bTXy6QGcyuzVu3Fh5j/cGtUZIo0aN4PXXX4dXXnkFtt12W7jnnnuEcDZ9+vSSnAPD1EdYIGIYxsiIESOEIICTL2oVdFDjsf/++8P999+vRKQh8+bNEyaiY445RnH+zQ881dVw8803Cwfi7777ruR3AB2OURD4v//7v7yQQEFHb+SDDz4QghoKQaipQSdsNBlGBc2FqFkaO3Zs/jNMQzBlyhTRjiigQInO0dTnyua35ALvw2677QbXX3+9EPTQGR6j7BiGycICEcMwRlCrgFoedC7G1ybuvfdeWLt2rRCYRo8eLXISjRw5UghKaL7CKCkbaIZDkxKGwMcBhQQUvOjfsmXLrMIAOoljyD3617z88ssiZcCECRNEGw8//HCxHQpAM2bMEGkH0GSGprM4QgPuB/d5xhlnCF+szz//XGjF8JrIY/mC1wij1H73u9+JNmH6A9TcRQEFsz/84Q/CyRvPD53B0bfL5v/FMJUIC0QMw1hB3xndf0af+HGSRQfgn//85yKU/cwzz4R99tlHmJ9omLyJW2+9VeQ4isM111wj/GTo32WXXWbdftdddxVtRdMaCiooDGB4O0afYXJIBN9ffPHFcN555wmtEmqMMOw+DiiAYd6jn/zkJyInE5q9UBDTTVth4DX85z//KX6LPkCY7wkj0aKA9xAFVjQFovkQHcdRW4apABiGyVKV4bhLhmEYhmEqHNYQMQzDMAxT8bBAxDAMwzBMxcMCEcMwDMMwFQ8LRAzDMAzDVDwsEDEMwzAMU/GwQMQwDMMwTMXDAhHDMAzDMBUPC0QMwzAMw1Q8LBAxDMMwDFPxsEDEMAzDMEzFwwIRwzAMwzBQ6fw/HbsootgU4L0AAAAASUVORK5CYII="/&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [14]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"Average"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="nb"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y1&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y1&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;&lt;span class="s2"&gt;"Max"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="nb"&gt;max&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y1&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;&lt;span class="s2"&gt;"Min"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="nb"&gt;min&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y1&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt"&gt;&lt;/div&gt;
&lt;div class="output_subarea output_stream output_stdout output_text"&gt;
&lt;pre&gt;Average 938.866 Max 1870 Min 591
&lt;/pre&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="cell border-box-sizing code_cell rendered"&gt;
&lt;div class="input"&gt;
&lt;div class="prompt input_prompt"&gt;In [15]:&lt;/div&gt;
&lt;div class="inner_cell"&gt;
&lt;div class="input_area"&gt;
&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="n"&gt;y_dup&lt;/span&gt; &lt;span class="o"&gt;=&lt;/span&gt; &lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="n"&gt;yy&lt;/span&gt;&lt;span class="p"&gt;[&lt;/span&gt;&lt;span class="mi"&gt;1&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt; &lt;span class="k"&gt;for&lt;/span&gt; &lt;span class="n"&gt;yy&lt;/span&gt; &lt;span class="ow"&gt;in&lt;/span&gt; &lt;span class="n"&gt;y2&lt;/span&gt;&lt;span class="p"&gt;]&lt;/span&gt;
&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"Mean"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="nb"&gt;sum&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y_dup&lt;/span&gt;&lt;span class="p"&gt;)&lt;/span&gt;&lt;span class="o"&gt;/&lt;/span&gt;&lt;span class="nb"&gt;len&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y_dup&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
&lt;/pre&gt;&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;/div&gt;
&lt;div class="output_wrapper"&gt;
&lt;div class="output"&gt;
&lt;div class="output_area"&gt;
&lt;div class="prompt"&gt;&lt;/div&gt;
&lt;div class="output_subarea output_stream output_stdout output_text"&gt;
&lt;pre&gt;Mean 654.64
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&lt;div class="highlight hl-ipython3"&gt;&lt;pre&gt;&lt;span&gt;&lt;/span&gt;&lt;span class="nb"&gt;print&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="s2"&gt;"Max duplicates"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="nb"&gt;max&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y_dup&lt;/span&gt;&lt;span class="p"&gt;),&lt;/span&gt;&lt;span class="s2"&gt;"Min duplicates"&lt;/span&gt;&lt;span class="p"&gt;,&lt;/span&gt;&lt;span class="nb"&gt;min&lt;/span&gt;&lt;span class="p"&gt;(&lt;/span&gt;&lt;span class="n"&gt;y_dup&lt;/span&gt;&lt;span class="p"&gt;))&lt;/span&gt;
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&lt;pre&gt;Max duplicates 661 Min duplicates 624
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&lt;p&gt;See below in the links few article which examined the problem.&lt;/p&gt;
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&lt;p&gt;Other references:
Reference&lt;/p&gt;
&lt;p&gt;&lt;a href="http://wjgsp.com/number-packs-panini-album/"&gt;http://wjgsp.com/number-packs-panini-album/&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;a href="https://stats.stackexchange.com/questions/101255/how-many-stickers-do-i-need-to-complete-my-fifa-panini-album"&gt;https://stats.stackexchange.com/questions/101255/how-many-stickers-do-i-need-to-complete-my-fifa-panini-album&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;shown: &lt;a href="https://youtu.be/vuGaez6oFvo"&gt;https://youtu.be/vuGaez6oFvo&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;a href="http://images.math.cnrs.fr/Petite-collection-d-informations.html?lang=fr"&gt;http://images.math.cnrs.fr/Petite-collection-d-informations.html?lang=fr&lt;/a&gt;&lt;/p&gt;
&lt;p&gt;&lt;a href="https://www.unige.ch/math/folks/velenik/Vulg/Paninimania.pdf"&gt;https://www.unige.ch/math/folks/velenik/Vulg/Paninimania.pdf&lt;/a&gt;&lt;/p&gt;
&lt;/div&gt;
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&lt;/div&gt;</content><category term="Data Analysis"/><category term="Python"/><category term="Data Analysis"/><category term="Statistics"/></entry><entry><title>How I work (2019)</title><link href="https://tofeire.codeberg.page/articles/how_i_work_2019.html" rel="alternate"/><published>2019-05-23T01:20:00+01:00</published><updated>2019-05-23T01:20:00+01:00</updated><author><name>Christophe</name></author><id>tag:tofeire.codeberg.page,2019-05-23:/articles/how_i_work_2019.html</id><summary type="html">&lt;p&gt;How I work in may 2019&lt;/p&gt;</summary><content type="html">&lt;p&gt;&lt;em&gt;Location:&lt;/em&gt; Dublin, Ireland&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Current Gig:&lt;/em&gt; Lead Physical Digital Implementation Engineer at Adesto/S3 semiconductors&lt;/p&gt;
&lt;p&gt;&lt;em&gt;One word that best describes how you work:&lt;/em&gt; juggling&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Current mobile device:&lt;/em&gt; Sony Experia (Android 8.0)&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Current personal computer:&lt;/em&gt; MacBook Pro (old 2012)&lt;/p&gt;
&lt;p&gt;&lt;em&gt;Work Computer:&lt;/em&gt; Windows 10 laptop, No machine to unix workstation (vpn) and Grid engine to submit various tools jobs.&lt;/p&gt;
&lt;p&gt;A little about my background and how I got to where I am today.
Studied Physics in Clermont-Ferrand, France, followed on by a master in Microelectronics which I finished with a work placement in small company in Grenoble (Dolphin Integration). After that I decided to go abroad, and landed in Ireland on the west coast, there I transferred from Analog Layout to digital Physical Implementation. I work in Integrated Circuit design for a couple of companies, alternating between my two areas of expertise: analog and digital physical implementation, until I join my current employer.&lt;/p&gt;
&lt;h2&gt;On a Typical Work Day&lt;/h2&gt;
&lt;ul&gt;
&lt;li&gt;Wake up at 7:00AM:&lt;/li&gt;
&lt;li&gt;get myself dressed.&lt;/li&gt;
&lt;li&gt;wake up kid, get them dressed and let have them breakfast.&lt;/li&gt;
&lt;li&gt;prepare lunch box for the kid.&lt;/li&gt;
&lt;li&gt;Bring kid to school by car, walk in the park (unless my wife does it).&lt;/li&gt;
&lt;li&gt;Due to covid lockdown, working from home, so setup and start logging in from my kitchen.&lt;/li&gt;
&lt;li&gt;Once at my desk:&lt;ul&gt;
&lt;li&gt;List/review tasks and priorities for the day on my work notebook.&lt;/li&gt;
&lt;li&gt;Check email/Jira tickets and email replies&lt;/li&gt;
&lt;li&gt;Start on first task of the day and move on. Usually start with analysing results from overnight runs / review logs and reports&lt;/li&gt;
&lt;li&gt;Loop over&lt;/li&gt;
&lt;li&gt;Multiple breaks (lunch/coffee) so i don't spend all day sit at my desk, I actually need to stand up and move every so often.&lt;/li&gt;
&lt;li&gt;10 minutes before end of the day:&lt;/li&gt;
&lt;li&gt;Review tasks status, write next day task in notebook.&lt;/li&gt;
&lt;li&gt;Email progress and issues found.&lt;/li&gt;
&lt;li&gt;List additional tasks for following day.&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;li&gt;My wife usually does the after-school pickup, but I might do it.&lt;/li&gt;
&lt;li&gt;Coloring with the kid&lt;/li&gt;
&lt;li&gt;Prepare dinner, family time, dinner all together.&lt;/li&gt;
&lt;li&gt;19:00 to 20:00 kid bedtime routine (brushing teeth, wash face, story time, quiet time).&lt;/li&gt;
&lt;li&gt;Reading after that for me.&lt;/li&gt;
&lt;/ul&gt;
&lt;h2&gt;Appps, software, or tools I use&lt;/h2&gt;
&lt;ul&gt;
&lt;li&gt;Notebook - draft paper.&lt;/li&gt;
&lt;li&gt;Apps/Software: &lt;ul&gt;
&lt;li&gt;Google Keep for quick capture on my phone. &lt;/li&gt;
&lt;li&gt;vi/gvim still for me the best editor. NotePad++ on Windows, and been slowly converted to MS Visual Code on Mac.&lt;/li&gt;
&lt;li&gt;Python whenever I can.&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;h2&gt;My workspace setup&lt;/h2&gt;
&lt;p&gt;In the office i have dual screen, with one always on the linux workstation connection, and the other alternating between Chrome(online documentation),outlook(email) and Onenote. Beside this I have my earphone, and a notebook open.
Reduced to single external screen at home ( dual with the laptop one )&lt;/p&gt;
&lt;h2&gt;My best time-saving shortcut&lt;/h2&gt;
&lt;p&gt;Reduce and Prioritize and focus on only one single task at a time for 10 minutes. Basically blocked focused session.
Be intentional with my time and the time of others.
Took me a long time to get it, and I still fall behind sometimes.
Besides my phone and computer, I could not live without a notebook and pen.&lt;/p&gt;
&lt;h2&gt;On good meetings&lt;/h2&gt;
&lt;p&gt;Good meetings are rare those days, I am missing a clear outcome announced ahead of the meeting, however meetings do not tend to last too long.&lt;/p&gt;
&lt;h2&gt;Listening habits while at work&lt;/h2&gt;
&lt;p&gt;Depending on the tasks:&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;mostly podcasts (Freakonomics, Planet Money, Rationally Speaking, ....) &lt;/li&gt;
&lt;li&gt;if needing more concentration:&lt;ul&gt;
&lt;li&gt;Online Radio: BBC 6 recommends  especially Mary Ann Hobbes.&lt;/li&gt;
&lt;li&gt;Jazz Playlist.&lt;/li&gt;
&lt;/ul&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;h2&gt;My Key Strength&lt;/h2&gt;
&lt;p&gt;Most other engineer are (much) better than me on very specific tasks/areas, but I have a broad array of knowledge in IC design, more fox than hedgehog.&lt;/p&gt;
&lt;h2&gt;Relaxing and recharging&lt;/h2&gt;
&lt;p&gt;Getting better at this through the years, I only need a simple walk in nature.
What’s your sleep routine like? Are you a night owl or early-riser?
Go to bed around 9PM-10PM and read a book. I am more of an early-riser, I feel much better when I can wake up and start the day early. I usually slump in the afternoon.&lt;/p&gt;
&lt;h2&gt;Best advice I have ever received&lt;/h2&gt;
&lt;p&gt;One received recently: 
Do not hesiate to voice your unhappiness about stuff at work, don't wait until you reach meltdown to ask for help or voice your concern and issues.&lt;/p&gt;</content><category term="work"/><category term="system"/><category term="work"/></entry><entry><title>Random thoughts from Pycon Dublin 2014</title><link href="https://tofeire.codeberg.page/articles/random-thoughts-from-pycon-dublin-2014.html" rel="alternate"/><published>2014-10-13T00:05:00+01:00</published><updated>2014-10-13T00:05:00+01:00</updated><author><name>Christophe</name></author><id>tag:tofeire.codeberg.page,2014-10-13:/articles/random-thoughts-from-pycon-dublin-2014.html</id><summary type="html">&lt;p&gt;Pycon 2014&lt;/p&gt;</summary><content type="html">&lt;p&gt;Over the weekend I attended my first Pycon in Dublin, Ireland. It is organised by the wonderful crowd of &lt;a href="https://python.ie/"&gt;Python Ireland&lt;/a&gt;, I would actually recommend that you go to one of their monthly meetups if you have any interest in the Python language. !day 2 Main stage&lt;/p&gt;
&lt;p&gt;I was not sure what to expect, but the experience turned out to be truly enjoyable, and I finished up the weekend, my head full of ideas to investigate with python.&lt;/p&gt;
&lt;p&gt;Here's my favourite highlights of the weekend, in no particular order.&lt;/p&gt;
&lt;ul&gt;
&lt;li&gt;
&lt;p&gt;Ian Ozsvald &lt;a href="https://twitter.com/ianozsvald"&gt;@ianozsvald&lt;/a&gt;  with its talk titled: &lt;a href="http://ianozsvald.com/2014/10/11/my-keynote-at-pyconireland-2014-the-real-unsolved-problems-in-data-science/"&gt;The Real Unsolved Problems in Data Science&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;A lightning talk by &lt;a href="https://twitter.com/saoili"&gt;@saoili&lt;/a&gt; about getting into python jobs, which comfort me in my current chosen path.  See her lightning talk &lt;a href="http://t.co/xTvf1Y2k4e"&gt;slides&lt;/a&gt;.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;On the same lightning talk show, a very entertaining demonstration of failing at data science (Homeless cloud by an engineer from rehabstudios, I sadly forgot the name), but also a silent presentation by &lt;a href="https://twitter.com/dontusethiscode"&gt;@dontusethiscode&lt;/a&gt;&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Rachel Willmer &lt;a href="https://twitter.com/rwillmer"&gt;@rwillmer&lt;/a&gt; in her keynote: A Tech Person's Adventures in Startup, gave me some inspiration and food for thoughts on creating your own company.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;I realize that Python was widely used in the financial industry (something I did not know before ) thanks to Dr. Yves J. Hilpisch &lt;a href="https://twitter.com/dyjh"&gt;@dyjh&lt;/a&gt; keynote : Python and the Financial Industry.&lt;/p&gt;
&lt;/li&gt;
&lt;li&gt;
&lt;p&gt;Finally a very cool demonstration, inside iPython notebook on how to build an earth centered universe by Brandon Rhodes &lt;a href="https://twitter.com/brandon_rhodes"&gt;@brandon_rhodes&lt;/a&gt;.&lt;/p&gt;
&lt;/li&gt;
&lt;/ul&gt;
&lt;p&gt;Overall it was fun, exciting and energizing conference, I will probably be back next year, more engaged. &lt;/p&gt;
&lt;p&gt;The conference happen every year, have a look on the python ireland &lt;a href="https://python.ie"&gt;website&lt;/a&gt; for more information on Pycon. Also they usually make the presentation available on youtube, see &lt;a href="https://www.youtube.com/channel/UCXlA9u2VPI9nIALNUBF0Nzw"&gt;Python Ireland channel&lt;/a&gt;.&lt;/p&gt;
&lt;p&gt;UPDATE 2019: Sadly I did not engage more nor attended since 2015.&lt;/p&gt;</content><category term="python"/><category term="Python"/><category term="Ireland"/></entry></feed>