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
<html><head><meta http-equiv="Content-Type" content="text/html; charset=UTF-8"><title>Chapter 27. QR (2D-Barcode)</title><link rel="stylesheet" type="text/css" href="manual.css"><meta name="generator" content="DocBook XSL Stylesheets V1.76.0"><link rel="home" href="index.html" title="JpGraph Manual"><link rel="up" href="pt06.html" title="Part VI. Barcodes"></head><body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"><div class="navheader"><table width="100%" summary="Navigation header"><tr><th colspan="3" align="center">Chapter 27. QR (2D-Barcode)</th></tr><tr><td width="20%" align="left"> </td><th width="60%" align="center">Part VI. Barcodes</th><td width="20%" align="right"> </td></tr></table><hr></div><div class="chapter" title="Chapter 27. QR (2D-Barcode)"><div class="titlepage"><div><div><h2 class="title"><a name="id2607914"></a>Chapter 27. QR (2D-Barcode)</h2></div></div></div><div class="toc"><p><b>Table of Contents</b></p><dl><dt><span class="sect1"><a href="ch27.html#id2607928">27.1. Principle of QR Barcodes</a></span></dt><dd><dl><dt><span class="sect2"><a href="ch27.html#id2608051">27.1.1. Summary of library features</a></span></dt><dt><span class="sect2"><a href="ch27.html#id2608266">27.1.2. Limitation in the JpGraph QR implementation</a></span></dt><dt><span class="sect2"><a href="ch27.html#id2608289">27.1.3. QR Standard</a></span></dt><dt><span class="sect2"><a href="ch27.html#id2608327">27.1.4. Structure and capacity of QR barcodes</a></span></dt><dt><span class="sect2"><a href="ch27.html#id2608334">27.1.5. QR versions and symbol size</a></span></dt><dt><span class="sect2"><a href="ch27.html#id2616457">27.1.6. Error correction level</a></span></dt><dt><span class="sect2"><a href="ch27.html#id2616507">27.1.7. Comparing the visual output with other QR-generating software</a></span></dt></dl></dd><dt><span class="sect1"><a href="ch27s02.html">27.2. Creating barcodes</a></span></dt><dd><dl><dt><span class="sect2"><a href="ch27s02.html#id2616673">27.2.1. Getting started</a></span></dt><dt><span class="sect2"><a href="ch27s02.html#id2616978">27.2.2. Error handling</a></span></dt><dt><span class="sect2"><a href="ch27s02.html#id2617132">27.2.3. Creating an encoder</a></span></dt><dt><span class="sect2"><a href="ch27s02.html#id2617978">27.2.4. Encodation of input data options</a></span></dt><dt><span class="sect2"><a href="ch27s02.html#id2618170">27.2.5. Reading input data from a file</a></span></dt><dt><span class="sect2"><a href="ch27s02.html#id2618220">27.2.6. Creating different backends</a></span></dt><dt><span class="sect2"><a href="ch27s02.html#id2618316">27.2.7. Generic backend methods</a></span></dt><dt><span class="sect2"><a href="ch27s02.html#id2618431">27.2.8. Image backend methods</a></span></dt><dt><span class="sect2"><a href="ch27s02.html#id2618458">27.2.9. Postscript backend methods</a></span></dt><dt><span class="sect2"><a href="ch27s02.html#id2618569">27.2.10. A template to create barcodes</a></span></dt><dt><span class="sect2"><a href="ch27s02.html#id2618643">27.2.11. Sample application</a></span></dt></dl></dd><dt><span class="sect1"><a href="ch27s03.html">27.3. Example scripts</a></span></dt><dd><dl><dt><span class="sect2"><a href="ch27s03.html#id2618715">27.3.1. Example 1 - Store QR code to file</a></span></dt><dt><span class="sect2"><a href="ch27s03.html#id2618745">27.3.2. Example 2 - Specified error correction level</a></span></dt><dt><span class="sect2"><a href="ch27s03.html#id2618804">27.3.3. Example 3 - Manual specified encoding</a></span></dt><dt><span class="sect2"><a href="ch27s03.html#id2618868">27.3.4. Example 4 - JPEG image format</a></span></dt><dt><span class="sect2"><a href="ch27s03.html#id2618932">27.3.5. Example 5 - Multiple manual encoding</a></span></dt><dt><span class="sect2"><a href="ch27s03.html#id2619008">27.3.6. Example 6 - Reading data from file</a></span></dt><dt><span class="sect2"><a href="ch27s03.html#id2619074">27.3.7. Example 7 - Adjusting colors</a></span></dt><dt><span class="sect2"><a href="ch27s03.html#id2619119">27.3.8. Example 8 - Setting error correction level</a></span></dt><dt><span class="sect2"><a href="ch27s03.html#id2619201">27.3.9. Example 9 - Generating ASCII output</a></span></dt></dl></dd></dl></div>
    
    <div class="sect1" title="Principle of QR Barcodes"><div class="titlepage"><div><div><h2 class="title" style="clear: both"><a name="id2607928"></a>Principle of QR Barcodes</h2></div></div></div>
        
        <div class="note" title="Note" style="margin-left: 0.5in; margin-right: 0.5in;"><h3 class="title">Note</h3><p>This module is only available in the pro-version of the library.</p></div>
        <p>QR is currently the highest capacity general two-dimensional matrix symbology
            available (up to ~7Kb numeric data can be encoded) and it is designed to encode the full
            256 byte ASCII character set as well as the Kanji (Shift-JIS character set). QR code
            belongs to the modern 2 dimensional codes that is designed for both high capacity as
            well as to be efficient for scanner equipment to process and this is also the reason for
            its name - Quick Response code.</p>
        <p>An advantage with QR code is also there relatively small size for a given amount of
            information </p>
        <p>The QR code is available in 40 different square sizes each with a user selectable
            error correction level in four steps (referred to as error correction level L,M,Q and
            H). With the highest level of error correction used up to ~30% of the codewords can be
            damaged and still be restored.</p>
        <p>QR code is extensively used in some Asian countries and is finding more an more usage
            to transfer medium sized information onto mobile phones where the QR codes are
            interpretated by first taking a photo of the barcode with the mobile and then running a
            QR decoding program on the cell phone. This has currently become the most expansive
            usage of QR codes and some mobile manufactures are providing software to aid in
            interpreting QR codes for free.</p>
        <p>
            </p><div class="note" title="Note" style="margin-left: 0.5in; margin-right: 0.5in;"><h3 class="title">Note</h3>
                <p>QR codes are also finding there way into public information sharing. For
                    example in Texas in US some cities are using QR codes to display public
                    information.</p>
            </div><p>
        </p>
        <p>
            </p><div class="note" title="Note" style="margin-left: 0.5in; margin-right: 0.5in;"><h3 class="title">Note</h3>
                <p>QR Codes can be freely used without royalties. QR Codes are copyrighted
                    by:</p>
                <p>
                    <code class="uri"><a class="uri" href="http://www.denso-wave.com" target="_top">DENSO WAVE NCORPORATED</a></code>.</p>
            </div><p>
        </p>
        <p>In <a class="xref" href="ch27.html#fig.qr-structure-detailed" title="Figure 27.1. QR Code high level structure">Figure 27.1. QR Code high level structure</a> we have amended a large version of
            a basic QR code. In this figure the special finding patterns and timing patterns have
            been highlighted in red and blue. </p>
        <div class="figure"><a name="fig.qr-structure-detailed"></a><p class="title"><b>Figure 27.1. QR Code high level structure</b></p><div class="figure-contents">
            
            <div class="mediaobject"><img src="images/qr-structure-details.png" alt="QR Code high level structure"></div>
        </div></div><br class="figure-break">
        <p>The images below shows some real-life creative use of QR barcodes.</p>
        <p>
            </p><div class="figure"><a name="id2608042"></a><p class="title"><b>Figure 27.2. Creative usage of QR Barcodes</b></p><div class="figure-contents">
                
                <div class="informaltable">
                    <table border="0"><colgroup><col class="c1"><col class="c2"><col class="c3"></colgroup><tbody><tr><td valign="bottom"><span class="inlinemediaobject"><img src="images/qr_usage1.jpg" alt="Creative usage of QR Barcodes"></span></td><td valign="bottom"><span class="inlinemediaobject"><img src="images/qr_usage2.jpg" alt="Creative usage of QR Barcodes"></span></td><td valign="bottom"><span class="inlinemediaobject"><img src="images/qr_usage3.jpg" alt="Creative usage of QR Barcodes"></span></td></tr></tbody></table>
                </div>
            </div></div><p><br class="figure-break">
        </p>
        <div class="sect2" title="Summary of library features"><div class="titlepage"><div><div><h3 class="title"><a name="id2608051"></a>Summary of library features</h3></div></div></div>
            
            <p>
                </p><div class="itemizedlist"><ul class="itemizedlist" type="disc"><li class="listitem">
                        <p>Output format</p>
                        <p>
                            </p><div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
                                    <p>Image format</p>
                                </li><li class="listitem">
                                    <p>Postscript and encapsulated postscript</p>
                                </li><li class="listitem">
                                    <p>ASCII</p>
                                </li></ol></div><p>
                        </p>
                    </li><li class="listitem">
                        <p>Encodation formats</p>
                        <p>
                            </p><div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
                                    <p>Numeric</p>
                                </li><li class="listitem">
                                    <p>Alphanumeric</p>
                                </li><li class="listitem">
                                    <p>Binary</p>
                                </li></ol></div><p>
                        </p>
                    </li><li class="listitem">
                        <p>Supports all specified symbol sizes</p>
                    </li><li class="listitem">
                        <p>Supports both auto and user selectable encodation </p>
                    </li><li class="listitem">
                        <p>Supports both auto and user selectable symbol size </p>
                    </li><li class="listitem">
                        <p>Supports user specified module size </p>
                    </li><li class="listitem">
                        <p>Supports custom color specification (foreground, background) </p>
                    </li><li class="listitem">
                        <p>Symbols can be written directly to a file or sent back as an image to
                            the browser </p>
                    </li></ul></div><p>
            </p>
        </div>
        <div class="sect2" title="Limitation in the JpGraph QR implementation"><div class="titlepage"><div><div><h3 class="title"><a name="id2608266"></a>Limitation in the JpGraph QR implementation</h3></div></div></div>
            
            <p>This implementation is a faithful implementation of the ISO/IEC 18004E
                International Standard with one important exception. Version 1.0 does not support
                the encoding of 2 byte Shift-JIS character set. This means that two byte Kanji can
                only be encoded using binary data format which is less efficient than the native
                Kanji encoding. </p>
            <p>
                </p><div class="caution" title="Caution" style="margin-left: 0.5in; margin-right: 0.5in;"><h3 class="title">Caution</h3>
                    <p>The computational complexity of the encodation process makes QR code
                        generation slightly slower than both PDF417 and Datamatrix. The technical
                        reason for most of the time is the final necessary evaluation of a bitmap
                        mask which is chosen to give as close to 50% mix of black and white areas in
                        the code as possible. Unfortunately this evaluation take time proportional
                        to the square of the size of the matrix. This time can be noticeable when
                        using "large" symbol sizes. There are existing QR code libraries that cheat
                        on this final step and just randomly selects a bit mask to avoid this
                        computational intensive evaluation. This is also the cause for the visual
                        difference between this libraries final result and some other. </p>
                    <p>In this case we claim that this library implements the proper standard
                        much more faithfully than some other libraries that exists.</p>
                </div><p>
            </p>
        </div>
        <div class="sect2" title="QR Standard"><div class="titlepage"><div><div><h3 class="title"><a name="id2608289"></a>QR Standard</h3></div></div></div>
            
            <p>The QR code standard is fully described in the ISO/IEC 18004E International
                Standard and is available for purchase from the <code class="uri"><a class="uri" href="http://www.iso.ch/iso/en/CombinedQueryResult.CombinedQueryResult?queryString=qr" target="_top">ISO Standard Organization</a></code>. for a nominal fee.</p>
        </div>
        <div class="sect2" title="Structure and capacity of QR barcodes"><div class="titlepage"><div><div><h3 class="title"><a name="id2608327"></a>Structure and capacity of QR barcodes</h3></div></div></div>
            
            <p>All QR barcode have square layout made up of equal spaced square modules.
                Depending on the size of the QR code a certain number of finder patterns are
                included in the code to aid in scanner decoding. The standard specifies 40 versions
                (sizes) of the QR code from the smallest 21x21 up to 177x177 modules in size. </p>
            <p>Examples of two basic QR codes are shown in <a class="xref" href="ch27.html#fig.qr-code-small" title="Figure 27.3. A small sized QR Code (version=2)">Figure 27.3. A small sized QR Code (version=2) </a> and <a class="xref" href="ch27.html#fig.qr-code-medium" title="Figure 27.4. A medium sized QR code (version=13)">Figure 27.4. A medium sized QR code (version=13)</a></p>
            <p>
                </p><div class="informaltable">
                    <table border="0"><colgroup><col class="c1"><col class="c2"></colgroup><tbody><tr><td valign="top">
                                    <div class="figure"><a name="fig.qr-code-small"></a><p class="title"><b>Figure 27.3. A small sized QR Code (version=2) </b></p><div class="figure-contents">
                                        
                                        <div class="mediaobject"><img src="images/qr-code-small.png" alt="A small sized QR Code (version=2)"></div>
                                    </div></div><br class="figure-break">
                                </td><td valign="top">
                                    <div class="figure"><a name="fig.qr-code-medium"></a><p class="title"><b>Figure 27.4. A medium sized QR code (version=13)</b></p><div class="figure-contents">
                                        
                                        <div class="mediaobject"><img src="images/qr-code-medium.png" alt="A medium sized QR code (version=13)"></div>
                                    </div></div><br class="figure-break">
                                </td></tr></tbody></table>
                </div><p>
            </p>
            <p>Depending on the actual data there are several compaction schema that can be used
                in order to achieve the greatest possible compression. The standard specifies four
                different principal schema, Numeric, Alphanumeric, Binary and Kanji. </p>
            <p>Depending on the application the user of the library may chose to either select a
                fixed encodation mode or let the library automatically chose the most efficient
                encodation method. It is usually best to let the library automatically select a
                combination of encodation schema that will give the smallest possible symbol size. </p>
            <p>The maximum capacity for QR codes dependent on the encodation schema (using the
                lowest possible error correction overhead) are given in <a class="xref" href="ch27.html#table.qr-capacity" title="Table 27.1. QR Data capacity">Table 27.1. QR Data capacity</a></p>
            <p>
                </p><div class="table"><a name="table.qr-capacity"></a><p class="title"><b>Table 27.1. QR Data capacity</b></p><div class="table-contents">
                    
                    <table summary="QR Data capacity" border="1"><colgroup><col width="124.65pt" class="c1"><col width="256.26pt" class="c2"></colgroup><thead><tr><th>Encoding mode</th><th>Maximum capacity</th></tr></thead><tbody><tr><td>Numeric</td><td>7089 digits (Datamatrix=3116)</td></tr><tr><td>Alphanumeric</td><td>4296 characters (Datamatrix=2335)</td></tr><tr><td>Binary</td><td>2953 (Datamatrix=1555)</td></tr><tr><td>Kanji</td><td>1817 (Datamatrix NA)</td></tr></tbody></table>
                </div></div><p><br class="table-break">
            </p>
            <p>The exact number of characters that can fit in a QR symbol depends on the actual
                encoding (or compaction) schema used. In short this is used to more efficiently
                encode ASCII characters to fit more data into a fixed number of bytes. For example
                if only numeric data is to be encoded then instead of using one byte to hold each
                digit three digits is stored in 10 bits. Which gives the equivalent capacity that 12
                digits takes only 5 bytes to encode. </p>
            <p>To encode data into a QR symbol the following principal steps are taken. </p>
            <p>
                </p><div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem">
                        <p>The input string (which can be any ASCII values between 0-255) is
                            encoded using the selected encoding or encodings (it is possible to
                            switch encoding mid-way through the string). The primary purpose of the
                            encoding is to compress the data into a much shorter form. </p>
                    </li><li class="listitem">
                        <p>If needed the data is padded to fill up to the capacity of the
                            selected symbol size. </p>
                    </li><li class="listitem">
                        <p>Once the string has been encoded (and possible padded) a number of
                            error correcting code words are added so that the data can be recovered
                            even if part of the printed symbol have been destroyed (perhaps a corner
                            has been teared off). </p>
                    </li><li class="listitem">
                        <p>Finally the encoded data and the error correcting words are placed in
                            the symbol according to an algorithm specified in the standard. This is
                            done by placing each bit of every data byte in a specific position in
                            the qr matrix symbol.</p>
                    </li></ol></div><p>
            </p>
            <p>The above explanation is by necessity simplified and for those interested into the
                specific details we refer to the official standard. It is also possible to review
                the code itself to understand the details. </p>
        </div>
        <div class="sect2" title="QR versions and symbol size"><div class="titlepage"><div><div><h3 class="title"><a name="id2608334"></a>QR versions and symbol size</h3></div></div></div>
            
            <p>As mentioned in the previous section the QR standard specifies 40 different sizes
                of the QR code and the maximum data capacity will also vary depending on the size.
                    <a class="xref" href="ch27.html#table.qr-symbol-sizes" title="Table 27.2. Maximum data capacity for the different symbol sizes in the QR-code.">Table 27.2. Maximum data capacity for the
                    different symbol sizes in the QR-code.</a> shows the defined sizes and for each
                size specifies the possible Error correction levels and the maximum data capacity
                depending on the compaction schema used.</p>
            <p>By default the symbol size will be chosen as the smallest possible. However some
                application require that usage of a fixed size symbol. The symbol size is a
                parameter of the encodation schema and is adjusted in the creation of the
                    <code class="code">QREncoder.</code>
            </p>
            <table xmlns="" frame="void" cellspacing="0" class="bdtable" width="700" id="table.qr-symbol-sizes">
                <caption xmlns="" style="font-weight:bold;margin-bottom:10px;">Table 27.2. Maximum data capacity for the
                    different symbol sizes in the QR-code.</caption>
                <col width="1.29*"></col>
                <col width="1.45*"></col>
                <col width="1.74*"></col>
                <col width="1.45*"></col>
                <col width="1.43*"></col>
                <col width="2.26*"></col>
                <col width="1.14*"></col>
                <col width="1.0*"></col>
                <thead xmlns="">
                    <tr class="bdhdr">
                        <th class="bdur2">Version</th>
                        <th class="bdur2">Modules</th>
                        <th class="bdur2">ECC Level</th>
                        <th class="bdur2">Data bits</th>
                        <th class="bdur2">Numeric</th>
                        <th class="bdur2">Alphanumeric</th>
                        <th class="bdur2">Binary</th>
                        <th class="bdu2">Kanji</th>
                    </tr>
                </thead>
                <tbody xmlns="">
                    <tr align="center">
                        <td rowspan="4" class="bdur2">1</td>
                        <td rowspan="4" class="bdur2">21x21</td>
                        <td class="bdur">L</td>
                        <td class="bdur">152</td>
                        <td class="bdur">41</td>
                        <td class="bdur">25</td>
                        <td class="bdur">17</td>
                        <td class="bdu">10</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">128</td>
                        <td class="bdur">34</td>
                        <td class="bdur">20</td>
                        <td class="bdur">14</td>
                        <td class="bdu">8</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">104</td>
                        <td class="bdur">27</td>
                        <td class="bdur">16</td>
                        <td class="bdur">11</td>
                        <td class="bdu">7</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">72</td>
                        <td class="bdur2">17</td>
                        <td class="bdur2">10</td>
                        <td class="bdur2">7</td>
                        <td class="bdu2">4</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 2</td>
                        <td rowspan="4" class="bdur2"> 25x25</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 272</td>
                        <td class="bdur"> 77</td>
                        <td class="bdur"> 47</td>
                        <td class="bdur"> 32</td>
                        <td class="bdu"> 20</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 224</td>
                        <td class="bdur"> 63</td>
                        <td class="bdur"> 38</td>
                        <td class="bdur"> 26</td>
                        <td class="bdu"> 16</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 176</td>
                        <td class="bdur"> 48</td>
                        <td class="bdur"> 29</td>
                        <td class="bdur"> 20</td>
                        <td class="bdu"> 12</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 128</td>
                        <td class="bdur2"> 34</td>
                        <td class="bdur2"> 20</td>
                        <td class="bdur2"> 14</td>
                        <td class="bdu2"> 8</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">3</td>
                        <td rowspan="4" class="bdur2">29x29</td>
                        <td class="bdur">L</td>
                        <td class="bdur">440</td>
                        <td class="bdur">127</td>
                        <td class="bdur">77</td>
                        <td class="bdur">53</td>
                        <td class="bdu">32</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">352</td>
                        <td class="bdur">101</td>
                        <td class="bdur">61</td>
                        <td class="bdur">42</td>
                        <td class="bdu">26</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">272</td>
                        <td class="bdur">77</td>
                        <td class="bdur">47</td>
                        <td class="bdur">32</td>
                        <td class="bdu">20</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">208</td>
                        <td class="bdur2">58</td>
                        <td class="bdur2">35</td>
                        <td class="bdur2">24</td>
                        <td class="bdu2">15</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 4</td>
                        <td rowspan="4" class="bdur2"> 33x33</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 640</td>
                        <td class="bdur"> 187</td>
                        <td class="bdur"> 114</td>
                        <td class="bdur"> 78</td>
                        <td class="bdu"> 48</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 512</td>
                        <td class="bdur"> 149</td>
                        <td class="bdur"> 90</td>
                        <td class="bdur"> 62</td>
                        <td class="bdu"> 38</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 384</td>
                        <td class="bdur"> 111</td>
                        <td class="bdur"> 67</td>
                        <td class="bdur"> 46</td>
                        <td class="bdu"> 28</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 288</td>
                        <td class="bdur2"> 82</td>
                        <td class="bdur2"> 50</td>
                        <td class="bdur2"> 34</td>
                        <td class="bdu2"> 21</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">5</td>
                        <td rowspan="4" class="bdur2">37x37</td>
                        <td class="bdur">L</td>
                        <td class="bdur">864</td>
                        <td class="bdur">255</td>
                        <td class="bdur">154</td>
                        <td class="bdur">106</td>
                        <td class="bdu">65</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">688</td>
                        <td class="bdur">202</td>
                        <td class="bdur">122</td>
                        <td class="bdur">84</td>
                        <td class="bdu">52</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">496</td>
                        <td class="bdur">144</td>
                        <td class="bdur">87</td>
                        <td class="bdur">60</td>
                        <td class="bdu">37</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">368</td>
                        <td class="bdur2">106</td>
                        <td class="bdur2">64</td>
                        <td class="bdur2">44</td>
                        <td class="bdu2">27</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 6</td>
                        <td rowspan="4" class="bdur2"> 41x41</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 1,088</td>
                        <td class="bdur"> 322</td>
                        <td class="bdur"> 195</td>
                        <td class="bdur"> 134</td>
                        <td class="bdu"> 82</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 864</td>
                        <td class="bdur"> 255</td>
                        <td class="bdur"> 154</td>
                        <td class="bdur"> 106</td>
                        <td class="bdu"> 65</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 608</td>
                        <td class="bdur"> 178</td>
                        <td class="bdur"> 108</td>
                        <td class="bdur"> 74</td>
                        <td class="bdu"> 45</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 480</td>
                        <td class="bdur2"> 139</td>
                        <td class="bdur2"> 84</td>
                        <td class="bdur2"> 58</td>
                        <td class="bdu2"> 36</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">7</td>
                        <td rowspan="4" class="bdur2">45x45</td>
                        <td class="bdur">L</td>
                        <td class="bdur">1,248</td>
                        <td class="bdur">370</td>
                        <td class="bdur">224</td>
                        <td class="bdur">154</td>
                        <td class="bdu">95</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">992</td>
                        <td class="bdur">293</td>
                        <td class="bdur">178</td>
                        <td class="bdur">122</td>
                        <td class="bdu">75</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">704</td>
                        <td class="bdur">207</td>
                        <td class="bdur">125</td>
                        <td class="bdur">86</td>
                        <td class="bdu">53</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">528</td>
                        <td class="bdur2">154</td>
                        <td class="bdur2">93</td>
                        <td class="bdur2">64</td>
                        <td class="bdu2">39</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 8</td>
                        <td rowspan="4" class="bdur2"> 49x49</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 1,552</td>
                        <td class="bdur"> 461</td>
                        <td class="bdur"> 279</td>
                        <td class="bdur"> 192</td>
                        <td class="bdu"> 118</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 1,232</td>
                        <td class="bdur"> 365</td>
                        <td class="bdur"> 221</td>
                        <td class="bdur"> 152</td>
                        <td class="bdu"> 93</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 880</td>
                        <td class="bdur"> 259</td>
                        <td class="bdur"> 157</td>
                        <td class="bdur"> 108</td>
                        <td class="bdu"> 66</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 688</td>
                        <td class="bdur2"> 202</td>
                        <td class="bdur2"> 122</td>
                        <td class="bdur2"> 84</td>
                        <td class="bdu2"> 52</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">9</td>
                        <td rowspan="4" class="bdur2">53x53</td>
                        <td class="bdur">L</td>
                        <td class="bdur">1,856</td>
                        <td class="bdur">552</td>
                        <td class="bdur">335</td>
                        <td class="bdur">230</td>
                        <td class="bdu">141</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">1,456</td>
                        <td class="bdur">432</td>
                        <td class="bdur">262</td>
                        <td class="bdur">180</td>
                        <td class="bdu">111</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">1,056</td>
                        <td class="bdur">312</td>
                        <td class="bdur">189</td>
                        <td class="bdur">130</td>
                        <td class="bdu">80</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">800</td>
                        <td class="bdur2">235</td>
                        <td class="bdur2">143</td>
                        <td class="bdur2">98</td>
                        <td class="bdu2">60</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 10</td>
                        <td rowspan="4" class="bdur2"> 57x57</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 2,192</td>
                        <td class="bdur"> 652</td>
                        <td class="bdur"> 395</td>
                        <td class="bdur"> 271</td>
                        <td class="bdu"> 167</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 1,728</td>
                        <td class="bdur"> 513</td>
                        <td class="bdur"> 311</td>
                        <td class="bdur"> 213</td>
                        <td class="bdu"> 131</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 1,232</td>
                        <td class="bdur"> 364</td>
                        <td class="bdur"> 221</td>
                        <td class="bdur"> 151</td>
                        <td class="bdu"> 93</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 976</td>
                        <td class="bdur2"> 288</td>
                        <td class="bdur2"> 174</td>
                        <td class="bdur2"> 119</td>
                        <td class="bdu2"> 74</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">11</td>
                        <td rowspan="4" class="bdur2">61x61</td>
                        <td class="bdur">L</td>
                        <td class="bdur">2,592</td>
                        <td class="bdur">772</td>
                        <td class="bdur">468</td>
                        <td class="bdur">321</td>
                        <td class="bdu">198</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">2,032</td>
                        <td class="bdur">604</td>
                        <td class="bdur">366</td>
                        <td class="bdur">251</td>
                        <td class="bdu">155</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">1,440</td>
                        <td class="bdur">427</td>
                        <td class="bdur">259</td>
                        <td class="bdur">177</td>
                        <td class="bdu">109</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">1,120</td>
                        <td class="bdur2">331</td>
                        <td class="bdur2">200</td>
                        <td class="bdur2">137</td>
                        <td class="bdu2">85</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 12</td>
                        <td rowspan="4" class="bdur2"> 65x65</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 2,960</td>
                        <td class="bdur"> 883</td>
                        <td class="bdur"> 535</td>
                        <td class="bdur"> 367</td>
                        <td class="bdu"> 226</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 2,320</td>
                        <td class="bdur"> 691</td>
                        <td class="bdur"> 419</td>
                        <td class="bdur"> 287</td>
                        <td class="bdu"> 177</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 1,648</td>
                        <td class="bdur"> 489</td>
                        <td class="bdur"> 296</td>
                        <td class="bdur"> 203</td>
                        <td class="bdu"> 125</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 1,264</td>
                        <td class="bdur2"> 374</td>
                        <td class="bdur2"> 227</td>
                        <td class="bdur2"> 155</td>
                        <td class="bdu2"> 96</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">13</td>
                        <td rowspan="4" class="bdur2">69x69</td>
                        <td class="bdur">L</td>
                        <td class="bdur">3,424</td>
                        <td class="bdur">1,022</td>
                        <td class="bdur">619</td>
                        <td class="bdur">425</td>
                        <td class="bdu">262</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">2,672</td>
                        <td class="bdur">796</td>
                        <td class="bdur">483</td>
                        <td class="bdur">331</td>
                        <td class="bdu">204</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">1,952</td>
                        <td class="bdur">580</td>
                        <td class="bdur">352</td>
                        <td class="bdur">241</td>
                        <td class="bdu">149</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">1,440</td>
                        <td class="bdur2">427</td>
                        <td class="bdur2">259</td>
                        <td class="bdur2">177</td>
                        <td class="bdu2">109</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 14</td>
                        <td rowspan="4" class="bdur2"> 73x73</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 3,688</td>
                        <td class="bdur"> 1,101</td>
                        <td class="bdur"> 667</td>
                        <td class="bdur"> 458</td>
                        <td class="bdu"> 282</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 2,920</td>
                        <td class="bdur"> 871</td>
                        <td class="bdur"> 528</td>
                        <td class="bdur"> 362</td>
                        <td class="bdu"> 223</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 2,088</td>
                        <td class="bdur"> 621</td>
                        <td class="bdur"> 376</td>
                        <td class="bdur"> 258</td>
                        <td class="bdu"> 159</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 1,576</td>
                        <td class="bdur2"> 468</td>
                        <td class="bdur2"> 283</td>
                        <td class="bdur2"> 194</td>
                        <td class="bdu2"> 120</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">15</td>
                        <td rowspan="4" class="bdur2">77x77</td>
                        <td class="bdur">L</td>
                        <td class="bdur">4,184</td>
                        <td class="bdur">1,250</td>
                        <td class="bdur">758</td>
                        <td class="bdur">520</td>
                        <td class="bdu">320</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">3,320</td>
                        <td class="bdur">991</td>
                        <td class="bdur">600</td>
                        <td class="bdur">412</td>
                        <td class="bdu">254</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">2,360</td>
                        <td class="bdur">703</td>
                        <td class="bdur">426</td>
                        <td class="bdur">292</td>
                        <td class="bdu">180</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">1,784</td>
                        <td class="bdur2">530</td>
                        <td class="bdur2">321</td>
                        <td class="bdur2">220</td>
                        <td class="bdu2">136</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 16</td>
                        <td rowspan="4" class="bdur2"> 81x81</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 4,712</td>
                        <td class="bdur"> 1,408</td>
                        <td class="bdur"> 854</td>
                        <td class="bdur"> 586</td>
                        <td class="bdu"> 361</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 3,624</td>
                        <td class="bdur"> 1,082</td>
                        <td class="bdur"> 656</td>
                        <td class="bdur"> 450</td>
                        <td class="bdu"> 277</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 2,600</td>
                        <td class="bdur"> 775</td>
                        <td class="bdur"> 470</td>
                        <td class="bdur"> 322</td>
                        <td class="bdu"> 198</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 2,024</td>
                        <td class="bdur2"> 602</td>
                        <td class="bdur2"> 365</td>
                        <td class="bdur2"> 250</td>
                        <td class="bdu2"> 154</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">17</td>
                        <td rowspan="4" class="bdur2">85x85</td>
                        <td class="bdur">L</td>
                        <td class="bdur">5,176</td>
                        <td class="bdur">1,548</td>
                        <td class="bdur">938</td>
                        <td class="bdur">644</td>
                        <td class="bdu">397</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">4,056</td>
                        <td class="bdur">1,212</td>
                        <td class="bdur">734</td>
                        <td class="bdur">504</td>
                        <td class="bdu">310</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">2,936</td>
                        <td class="bdur">876</td>
                        <td class="bdur">531</td>
                        <td class="bdur">364</td>
                        <td class="bdu">224</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">2,264</td>
                        <td class="bdur2">674</td>
                        <td class="bdur2">408</td>
                        <td class="bdur2">280</td>
                        <td class="bdu2">173</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 18</td>
                        <td rowspan="4" class="bdur2"> 89x89</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 5,768</td>
                        <td class="bdur"> 1,725</td>
                        <td class="bdur"> 1,046</td>
                        <td class="bdur"> 718</td>
                        <td class="bdu"> 442</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 4,504</td>
                        <td class="bdur"> 1,346</td>
                        <td class="bdur"> 816</td>
                        <td class="bdur"> 560</td>
                        <td class="bdu"> 345</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 3,176</td>
                        <td class="bdur"> 948</td>
                        <td class="bdur"> 574</td>
                        <td class="bdur"> 394</td>
                        <td class="bdu"> 243</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 2,504</td>
                        <td class="bdur2"> 746</td>
                        <td class="bdur2"> 452</td>
                        <td class="bdur2"> 310</td>
                        <td class="bdu2"> 191</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">19</td>
                        <td rowspan="4" class="bdur2">93x93</td>
                        <td class="bdur">L</td>
                        <td class="bdur">6,360</td>
                        <td class="bdur">1,903</td>
                        <td class="bdur">1,153</td>
                        <td class="bdur">792</td>
                        <td class="bdu">488</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">5,016</td>
                        <td class="bdur">1,500</td>
                        <td class="bdur">909</td>
                        <td class="bdur">624</td>
                        <td class="bdu">384</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">3,560</td>
                        <td class="bdur">1,063</td>
                        <td class="bdur">644</td>
                        <td class="bdur">442</td>
                        <td class="bdu">272</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">2,728</td>
                        <td class="bdur2">813</td>
                        <td class="bdur2">493</td>
                        <td class="bdur2">338</td>
                        <td class="bdu2">208</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 20</td>
                        <td rowspan="4" class="bdur2"> 97x97</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 6,888</td>
                        <td class="bdur"> 2,061</td>
                        <td class="bdur"> 1,249</td>
                        <td class="bdur"> 858</td>
                        <td class="bdu"> 528</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 5,352</td>
                        <td class="bdur"> 1,600</td>
                        <td class="bdur"> 970</td>
                        <td class="bdur"> 666</td>
                        <td class="bdu"> 410</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 3,880</td>
                        <td class="bdur"> 1,159</td>
                        <td class="bdur"> 702</td>
                        <td class="bdur"> 482</td>
                        <td class="bdu"> 297</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 3,080</td>
                        <td class="bdur2"> 919</td>
                        <td class="bdur2"> 557</td>
                        <td class="bdur2"> 382</td>
                        <td class="bdu2"> 235</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">21</td>
                        <td rowspan="4" class="bdur2">101x101</td>
                        <td class="bdur">L</td>
                        <td class="bdur">7,456</td>
                        <td class="bdur">2,232</td>
                        <td class="bdur">1,352</td>
                        <td class="bdur">929</td>
                        <td class="bdu">572</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">5,712</td>
                        <td class="bdur">1,708</td>
                        <td class="bdur">1,035</td>
                        <td class="bdur">711</td>
                        <td class="bdu">438</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">4,096</td>
                        <td class="bdur">1,224</td>
                        <td class="bdur">742</td>
                        <td class="bdur">509</td>
                        <td class="bdu">314</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">3,248</td>
                        <td class="bdur2">969</td>
                        <td class="bdur2">587</td>
                        <td class="bdur2">403</td>
                        <td class="bdu2">248</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 22</td>
                        <td rowspan="4" class="bdur2"> 105x105</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 8,048</td>
                        <td class="bdur"> 2,409</td>
                        <td class="bdur"> 1,460</td>
                        <td class="bdur"> 1,003</td>
                        <td class="bdu"> 618</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 6,256</td>
                        <td class="bdur"> 1,872</td>
                        <td class="bdur"> 1,134</td>
                        <td class="bdur"> 779</td>
                        <td class="bdu"> 480</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 4,544</td>
                        <td class="bdur"> 1,358</td>
                        <td class="bdur"> 823</td>
                        <td class="bdur"> 565</td>
                        <td class="bdu"> 348</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 3,536</td>
                        <td class="bdur2"> 1,056</td>
                        <td class="bdur2"> 640</td>
                        <td class="bdur2"> 439</td>
                        <td class="bdu2"> 270</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">23</td>
                        <td rowspan="4" class="bdur2">109x109</td>
                        <td class="bdur">L</td>
                        <td class="bdur">8,752</td>
                        <td class="bdur">2,620</td>
                        <td class="bdur">1,588</td>
                        <td class="bdur">1,091</td>
                        <td class="bdu">672</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">6,880</td>
                        <td class="bdur">2,059</td>
                        <td class="bdur">1,248</td>
                        <td class="bdur">857</td>
                        <td class="bdu">528</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">4,912</td>
                        <td class="bdur">1,468</td>
                        <td class="bdur">890</td>
                        <td class="bdur">611</td>
                        <td class="bdu">376</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">3,712</td>
                        <td class="bdur2">1,108</td>
                        <td class="bdur2">672</td>
                        <td class="bdur2">461</td>
                        <td class="bdu2">284</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 24</td>
                        <td rowspan="4" class="bdur2"> 113x113</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 9,392</td>
                        <td class="bdur"> 2,812</td>
                        <td class="bdur"> 1,704</td>
                        <td class="bdur"> 1,171</td>
                        <td class="bdu"> 721</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 7,312</td>
                        <td class="bdur"> 2,188</td>
                        <td class="bdur"> 1,326</td>
                        <td class="bdur"> 911</td>
                        <td class="bdu"> 561</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 5,312</td>
                        <td class="bdur"> 1,588</td>
                        <td class="bdur"> 963</td>
                        <td class="bdur"> 661</td>
                        <td class="bdu"> 407</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 4,112</td>
                        <td class="bdur2"> 1,228</td>
                        <td class="bdur2"> 744</td>
                        <td class="bdur2"> 511</td>
                        <td class="bdu2"> 315</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">25</td>
                        <td rowspan="4" class="bdur2">117x117</td>
                        <td class="bdur">L</td>
                        <td class="bdur">10,208</td>
                        <td class="bdur">3,057</td>
                        <td class="bdur">1,853</td>
                        <td class="bdur">1,273</td>
                        <td class="bdu">784</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">8,000</td>
                        <td class="bdur">2,395</td>
                        <td class="bdur">1,451</td>
                        <td class="bdur">997</td>
                        <td class="bdu">614</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">5,744</td>
                        <td class="bdur">1,718</td>
                        <td class="bdur">1,041</td>
                        <td class="bdur">715</td>
                        <td class="bdu">440</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">4,304</td>
                        <td class="bdur2">1,286</td>
                        <td class="bdur2">779</td>
                        <td class="bdur2">535</td>
                        <td class="bdu2">330</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 26</td>
                        <td rowspan="4" class="bdur2"> 121x121</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 10,960</td>
                        <td class="bdur"> 3,283</td>
                        <td class="bdur"> 1,990</td>
                        <td class="bdur"> 1,367</td>
                        <td class="bdu"> 842</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 8,496</td>
                        <td class="bdur"> 2,544</td>
                        <td class="bdur"> 1,542</td>
                        <td class="bdur"> 1,059</td>
                        <td class="bdu"> 652</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 6,032</td>
                        <td class="bdur"> 1,804</td>
                        <td class="bdur"> 1,094</td>
                        <td class="bdur"> 751</td>
                        <td class="bdu"> 462</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 4,768</td>
                        <td class="bdur2"> 1,425</td>
                        <td class="bdur2"> 864</td>
                        <td class="bdur2"> 593</td>
                        <td class="bdu2"> 365</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">27</td>
                        <td rowspan="4" class="bdur2">125x125</td>
                        <td class="bdur">L</td>
                        <td class="bdur">11,744</td>
                        <td class="bdur">3,514</td>
                        <td class="bdur">2,132</td>
                        <td class="bdur">1,465</td>
                        <td class="bdu">902</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">9,024</td>
                        <td class="bdur">2,701</td>
                        <td class="bdur">1,637</td>
                        <td class="bdur">1,125</td>
                        <td class="bdu">692</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">6,464</td>
                        <td class="bdur">1,933</td>
                        <td class="bdur">1,172</td>
                        <td class="bdur">805</td>
                        <td class="bdu">496</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">5,024</td>
                        <td class="bdur2">1,501</td>
                        <td class="bdur2">910</td>
                        <td class="bdur2">625</td>
                        <td class="bdu2">385</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 28</td>
                        <td rowspan="4" class="bdur2"> 129x129</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 12,248</td>
                        <td class="bdur"> 3,669</td>
                        <td class="bdur"> 2,223</td>
                        <td class="bdur"> 1,528</td>
                        <td class="bdu"> 940</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 9,544</td>
                        <td class="bdur"> 2,857</td>
                        <td class="bdur"> 1,732</td>
                        <td class="bdur"> 1,190</td>
                        <td class="bdu"> 732</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 6,968</td>
                        <td class="bdur"> 2,085</td>
                        <td class="bdur"> 1,263</td>
                        <td class="bdur"> 868</td>
                        <td class="bdu"> 534</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 5,288</td>
                        <td class="bdur2"> 1,581</td>
                        <td class="bdur2"> 958</td>
                        <td class="bdur2"> 658</td>
                        <td class="bdu2"> 405</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">29</td>
                        <td rowspan="4" class="bdur2">133x133</td>
                        <td class="bdur">L</td>
                        <td class="bdur">13,048</td>
                        <td class="bdur">3,909</td>
                        <td class="bdur">2,369</td>
                        <td class="bdur">1,628</td>
                        <td class="bdu">1,002</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">10,136</td>
                        <td class="bdur">3,035</td>
                        <td class="bdur">1,839</td>
                        <td class="bdur">1,264</td>
                        <td class="bdu">778</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">7,288</td>
                        <td class="bdur">2,181</td>
                        <td class="bdur">1,322</td>
                        <td class="bdur">908</td>
                        <td class="bdu">559</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">5,608</td>
                        <td class="bdur2">1,677</td>
                        <td class="bdur2">1,016</td>
                        <td class="bdur2">698</td>
                        <td class="bdu2">430</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 30</td>
                        <td rowspan="4" class="bdur2"> 137x137</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 13,880</td>
                        <td class="bdur"> 4,158</td>
                        <td class="bdur"> 2,520</td>
                        <td class="bdur"> 1,732</td>
                        <td class="bdu"> 1,066</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 10,984</td>
                        <td class="bdur"> 3,289</td>
                        <td class="bdur"> 1,994</td>
                        <td class="bdur"> 1,370</td>
                        <td class="bdu"> 843</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 7,880</td>
                        <td class="bdur"> 2,358</td>
                        <td class="bdur"> 1,429</td>
                        <td class="bdur"> 982</td>
                        <td class="bdu"> 604</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 5,960</td>
                        <td class="bdur2"> 1,782</td>
                        <td class="bdur2"> 1,080</td>
                        <td class="bdur2"> 742</td>
                        <td class="bdu2"> 457</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">31</td>
                        <td rowspan="4" class="bdur2">141x141</td>
                        <td class="bdur">L</td>
                        <td class="bdur">14,744</td>
                        <td class="bdur">4,417</td>
                        <td class="bdur">2,677</td>
                        <td class="bdur">1,840</td>
                        <td class="bdu">1132</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">11,640</td>
                        <td class="bdur">3,486</td>
                        <td class="bdur">2,113</td>
                        <td class="bdur">1,452</td>
                        <td class="bdu">894</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">8,264</td>
                        <td class="bdur">2,473</td>
                        <td class="bdur">1,499</td>
                        <td class="bdur">1,030</td>
                        <td class="bdu">634</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">6,344</td>
                        <td class="bdur2">1,897</td>
                        <td class="bdur2">1,150</td>
                        <td class="bdur2">790</td>
                        <td class="bdu2">486</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 32</td>
                        <td rowspan="4" class="bdur2"> 145x145</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 15,640</td>
                        <td class="bdur"> 4,686</td>
                        <td class="bdur"> 2,840</td>
                        <td class="bdur"> 1,952</td>
                        <td class="bdu"> 1,201</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 12,328</td>
                        <td class="bdur"> 3,693</td>
                        <td class="bdur"> 2,238</td>
                        <td class="bdur"> 1,538</td>
                        <td class="bdu"> 947</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 8,920</td>
                        <td class="bdur"> 2,670</td>
                        <td class="bdur"> 1,618</td>
                        <td class="bdur"> 1,112</td>
                        <td class="bdu"> 684</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 6,760</td>
                        <td class="bdur2"> 2,022</td>
                        <td class="bdur2"> 1,226</td>
                        <td class="bdur2"> 842</td>
                        <td class="bdu2"> 518</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">33</td>
                        <td rowspan="4" class="bdur2">149x149</td>
                        <td class="bdur">L</td>
                        <td class="bdur">16,568</td>
                        <td class="bdur">4,965</td>
                        <td class="bdur">3,009</td>
                        <td class="bdur">2,068</td>
                        <td class="bdu">1,273</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">13,048</td>
                        <td class="bdur">3,909</td>
                        <td class="bdur">2,369</td>
                        <td class="bdur">1,628</td>
                        <td class="bdu">1,002</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">9,368</td>
                        <td class="bdur">2,805</td>
                        <td class="bdur">1,700</td>
                        <td class="bdur">1,168</td>
                        <td class="bdu">719</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">7,208</td>
                        <td class="bdur2">2,157</td>
                        <td class="bdur2">1,307</td>
                        <td class="bdur2">898</td>
                        <td class="bdu2">553</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 34</td>
                        <td rowspan="4" class="bdur2"> 153x153</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 17,528</td>
                        <td class="bdur"> 5,253</td>
                        <td class="bdur"> 3,183</td>
                        <td class="bdur"> 2,188</td>
                        <td class="bdu"> 1,347</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 13,800</td>
                        <td class="bdur"> 4,134</td>
                        <td class="bdur"> 2,506</td>
                        <td class="bdur"> 1,722</td>
                        <td class="bdu"> 1,060</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 9,848</td>
                        <td class="bdur"> 2,949</td>
                        <td class="bdur"> 1,787</td>
                        <td class="bdur"> 1,228</td>
                        <td class="bdu"> 756</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 7,688</td>
                        <td class="bdur2"> 2,301</td>
                        <td class="bdur2"> 1,394</td>
                        <td class="bdur2"> 958</td>
                        <td class="bdu2"> 590</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">35</td>
                        <td rowspan="4" class="bdur2">157x157</td>
                        <td class="bdur">L</td>
                        <td class="bdur">18,448</td>
                        <td class="bdur">5,529</td>
                        <td class="bdur">3,351</td>
                        <td class="bdur">2,303</td>
                        <td class="bdu">1,417</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">14,496</td>
                        <td class="bdur">4,343</td>
                        <td class="bdur">2,632</td>
                        <td class="bdur">1,809</td>
                        <td class="bdu">1,113</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">10,288</td>
                        <td class="bdur">3,081</td>
                        <td class="bdur">1,867</td>
                        <td class="bdur">1,283</td>
                        <td class="bdu">790</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">7,888</td>
                        <td class="bdur2">2,361</td>
                        <td class="bdur2">1,431</td>
                        <td class="bdur2">983</td>
                        <td class="bdu2">605</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 36</td>
                        <td rowspan="4" class="bdur2"> 161x161</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 19,472</td>
                        <td class="bdur"> 5,836</td>
                        <td class="bdur"> 3,537</td>
                        <td class="bdur"> 2,431</td>
                        <td class="bdu"> 1,496</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 15,312</td>
                        <td class="bdur"> 4,588</td>
                        <td class="bdur"> 2,780</td>
                        <td class="bdur"> 1,911</td>
                        <td class="bdu"> 1,176</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 10,832</td>
                        <td class="bdur"> 3,244</td>
                        <td class="bdur"> 1,966</td>
                        <td class="bdur"> 1,351</td>
                        <td class="bdu"> 832</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 8,432</td>
                        <td class="bdur2"> 2,524</td>
                        <td class="bdur2"> 1,530</td>
                        <td class="bdur2"> 1,051</td>
                        <td class="bdu2"> 647</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">37</td>
                        <td rowspan="4" class="bdur2">165x165</td>
                        <td class="bdur">L</td>
                        <td class="bdur">20,528</td>
                        <td class="bdur">6,153</td>
                        <td class="bdur">3,729</td>
                        <td class="bdur">2,563</td>
                        <td class="bdu">1,577</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">15,936</td>
                        <td class="bdur">4,775</td>
                        <td class="bdur">2,894</td>
                        <td class="bdur">1,989</td>
                        <td class="bdu">1,224</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">11,408</td>
                        <td class="bdur">3,417</td>
                        <td class="bdur">2,071</td>
                        <td class="bdur">1,423</td>
                        <td class="bdu">876</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">8,768</td>
                        <td class="bdur2">2,625</td>
                        <td class="bdur2">1,591</td>
                        <td class="bdur2">1,093</td>
                        <td class="bdu2">673</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2"> 38</td>
                        <td rowspan="4" class="bdur2"> 169x169</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 21,616</td>
                        <td class="bdur"> 6,479</td>
                        <td class="bdur"> 3,927</td>
                        <td class="bdur"> 2,699</td>
                        <td class="bdu"> 1,661</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 16,816</td>
                        <td class="bdur"> 5,039</td>
                        <td class="bdur"> 3,054</td>
                        <td class="bdur"> 2,099</td>
                        <td class="bdu"> 1,292</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 12,016</td>
                        <td class="bdur"> 3,599</td>
                        <td class="bdur"> 2,181</td>
                        <td class="bdur"> 1,499</td>
                        <td class="bdu"> 923</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2"> H</td>
                        <td class="bdur2"> 9,136</td>
                        <td class="bdur2"> 2,735</td>
                        <td class="bdur2"> 1,658</td>
                        <td class="bdur2"> 1,139</td>
                        <td class="bdu2"> 701</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur2">39</td>
                        <td rowspan="4" class="bdur2">173x173</td>
                        <td class="bdur">L</td>
                        <td class="bdur">22,496</td>
                        <td class="bdur">6,743</td>
                        <td class="bdur">4,087</td>
                        <td class="bdur">2,809</td>
                        <td class="bdu">1,729</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">M</td>
                        <td class="bdur">17,728</td>
                        <td class="bdur">5,313</td>
                        <td class="bdur">3,220</td>
                        <td class="bdur">2,213</td>
                        <td class="bdu">1,362</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur">Q</td>
                        <td class="bdur">12,656</td>
                        <td class="bdur">3,791</td>
                        <td class="bdur">2,298</td>
                        <td class="bdur">1,579</td>
                        <td class="bdu">972</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur2">H</td>
                        <td class="bdur2">9,776</td>
                        <td class="bdur2">2,927</td>
                        <td class="bdur2">1,774</td>
                        <td class="bdur2">1,219</td>
                        <td class="bdu2">750</td>
                    </tr>
                    <tr align="center">
                        <td rowspan="4" class="bdur"> 40</td>
                        <td rowspan="4" class="bdur"> 177x177</td>
                        <td class="bdur"> L</td>
                        <td class="bdur"> 23,648</td>
                        <td class="bdur"> 7,089</td>
                        <td class="bdur"> 4,296</td>
                        <td class="bdur"> 2,953</td>
                        <td class="bdu"> 1,817</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> M</td>
                        <td class="bdur"> 18,672</td>
                        <td class="bdur"> 5,596</td>
                        <td class="bdur"> 3,391</td>
                        <td class="bdur"> 2,331</td>
                        <td class="bdu"> 1,435</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> Q</td>
                        <td class="bdur"> 13,328</td>
                        <td class="bdur"> 3,993</td>
                        <td class="bdur"> 2,420</td>
                        <td class="bdur"> 1,663</td>
                        <td class="bdu"> 1,024</td>
                    </tr>
                    <tr align="center">
                        <td class="bdur"> H</td>
                        <td class="bdur"> 10,208</td>
                        <td class="bdur"> 3,057</td>
                        <td class="bdur"> 1,852</td>
                        <td class="bdur"> 1,273</td>
                        <td class="bdu"> 784</td>
                    </tr>
                </tbody>
            </table>
        </div>
        <div class="sect2" title="Error correction level"><div class="titlepage"><div><div><h3 class="title"><a name="id2616457"></a>Error correction level</h3></div></div></div>
            
            <p>As shown in <a class="xref" href="ch27.html#table.qr-symbol-sizes" title="Table 27.2. Maximum data capacity for the different symbol sizes in the QR-code.">Table 27.2. Maximum data capacity for the
                    different symbol sizes in the QR-code.</a> the QR standard specifies
                four different error correction levels. In the library the error correction can
                either be set to be chosen automatically or specified manually. The properties of
                the available error correction levels are given in <a class="xref" href="ch27.html#table.qr-error-correction-levels" title="Table 27.3. QR Error correction levels">Table 27.3. QR Error correction levels</a>. The "<span class="italic">Error correction capacity</span>" column specifies how large percentage of
                the codewords that can be destroyed and the code still being decoded.</p>
            <p>
                </p><div class="table"><a name="table.qr-error-correction-levels"></a><p class="title"><b>Table 27.3. QR Error correction levels</b></p><div class="table-contents">
                    
                    <table summary="QR Error correction levels" border="1"><colgroup><col width="85.16pt" class="c1"><col width="164.9pt" class="c2"><col width="168.0pt" class="c3"></colgroup><thead><tr><th align="center">Error level</th><th align="center">Symbolic constant</th><th align="center">Error correction capacity</th></tr></thead><tbody><tr><td align="center">L</td><td align="center"><code class="code">QRCapacity::ErrL</code></td><td align="center">5 %</td></tr><tr><td align="center">M</td><td align="center"><code class="code">QRCapacity::ErrM</code></td><td align="center">15 %</td></tr><tr><td align="center">Q</td><td align="center"><code class="code">QRCapacity::ErrQ</code></td><td align="center">25 %</td></tr><tr><td align="center">H</td><td align="center"><code class="code">QRCapacity::ErrH</code></td><td align="center">30 %</td></tr></tbody></table>
                </div></div><p><br class="table-break">
            </p>
        </div>
        <div class="sect2" title="Comparing the visual output with other QR-generating software"><div class="titlepage"><div><div><h3 class="title"><a name="id2616507"></a>Comparing the visual output with other QR-generating software</h3></div></div></div>
            
            <p>It is possible that the JpGraph library gives a visually different result than
                some other available QR encoders. As a matter of fact many QR encoders gives a
                different visual result from the same input. This does not mean that one QR encoder
                is more correct than any other. This is a consequence of interpretation of the
                standard in a way that (without going into technical details) does not in any way
                affect the decoding of the barcode. It only affects the visual appearance.</p>
        </div>
    </div>
    
    
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