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							<!DOCTYPE html><html lang="en"><head><meta charset="utf-8"><meta name="viewport" content="width=device-width, initial-scale=1.0"><meta name="generator" content="rustdoc"><meta name="description" content="API documentation for the Rust `IsaacRng` struct in crate `rand`."><meta name="keywords" content="rust, rustlang, rust-lang, IsaacRng"><title>rand::prng::isaac::IsaacRng - Rust</title><link rel="stylesheet" type="text/css" href="../../../normalize.css"><link rel="stylesheet" type="text/css" href="../../../rustdoc.css" id="mainThemeStyle"><link rel="stylesheet" type="text/css" href="../../../dark.css"><link rel="stylesheet" type="text/css" href="../../../light.css" id="themeStyle"><script src="../../../storage.js"></script><link rel="shortcut icon" href="https://www.rust-lang.org/favicon.ico"></head><body class="rustdoc struct"><!--[if lte IE 8]><div class="warning">This old browser is unsupported and will most likely display funky things.</div><![endif]--><nav class="sidebar"><div class="sidebar-menu">&#9776;</div><a href='../../../rand/index.html'><img src='https://www.rust-lang.org/logos/rust-logo-128x128-blk.png' alt='logo' width='100'></a><p class='location'>Struct IsaacRng</p><div class="sidebar-elems"><div class="block items"><a class="sidebar-title" href="#methods">Methods</a><div class="sidebar-links"><a href="#method.new_unseeded">new_unseeded</a><a href="#method.new_from_u64">new_from_u64</a></div><a class="sidebar-title" href="#implementations">Trait Implementations</a><div class="sidebar-links"><a href="#impl-Clone">Clone</a><a href="#impl-Debug">Debug</a><a href="#impl-RngCore">RngCore</a><a href="#impl-SeedableRng">SeedableRng</a></div><a class="sidebar-title" href="#synthetic-implementations">Auto Trait Implementations</a><div class="sidebar-links"><a href="#impl-Send">Send</a><a href="#impl-Sync">Sync</a></div></div><p class='location'><a href='../../index.html'>rand</a>::<wbr><a href='../index.html'>prng</a>::<wbr><a href='index.html'>isaac</a></p><script>window.sidebarCurrent = {name: 'IsaacRng', ty: 'struct', relpath: ''};</script><script defer src="sidebar-items.js"></script></div></nav><div class="theme-picker"><button id="theme-picker" aria-label="Pick another theme!"><img src="../../../brush.svg" width="18" alt="Pick another theme!"></button><div id="theme-choices"></div></div><script src="../../../theme.js"></script><nav class="sub"><form class="search-form js-only"><div class="search-container"><input class="search-input" name="search" autocomplete="off" placeholder="Click or press ‘S’ to search, ‘?’ for more options…" type="search"><a id="settings-menu" href="../../../settings.html"><img src="../../../wheel.svg" width="18" alt="Change settings"></a></div></form></nav><section id="main" class="content"><h1 class='fqn'><span class='in-band'>Struct <a href='../../index.html'>rand</a>::<wbr><a href='../index.html'>prng</a>::<wbr><a href='index.html'>isaac</a>::<wbr><a class="struct" href=''>IsaacRng</a></span><span class='out-of-band'><span id='render-detail'><a id="toggle-all-docs" href="javascript:void(0)" title="collapse all docs">[<span class='inner'>&#x2212;</span>]</a></span><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#95' title='goto source code'>[src]</a></span></h1><div class="docblock type-decl"><pre class='rust struct'>pub struct IsaacRng(_);</pre></div><div class='docblock'><p>A random number generator that uses the ISAAC algorithm.</p>
<p>ISAAC stands for &quot;Indirection, Shift, Accumulate, Add, and Count&quot; which are
the principal bitwise operations employed. It is the most advanced of a
series of array based random number generator designed by Robert Jenkins
in 1996<sup id="fnref1"><a href="#fn1">1</a></sup><sup id="fnref2"><a href="#fn2">2</a></sup>.</p>
<p>ISAAC is notably fast and produces excellent quality random numbers for
non-cryptographic applications.</p>
<p>In spite of being designed with cryptographic security in mind, ISAAC hasn't
been stringently cryptanalyzed and thus cryptographers do not not
consensually trust it to be secure. When looking for a secure RNG, prefer
<a href="../hc128/struct.Hc128Rng.html"><code>Hc128Rng</code></a> instead, which, like ISAAC, is an array-based RNG and one of
the stream-ciphers selected the by eSTREAM contest.</p>
<p>In 2006 an improvement to ISAAC was suggested by Jean-Philippe Aumasson,
named ISAAC+<sup id="fnref3"><a href="#fn3">3</a></sup>. But because the specification is not complete, because
there is no good implementation, and because the suggested bias may not
exist, it is not implemented here.</p>
<h2 id="overview-of-the-isaac-algorithm" class="section-header"><a href="#overview-of-the-isaac-algorithm">Overview of the ISAAC algorithm:</a></h2>
<p>(in pseudo-code)</p>
<pre><code class="language-text">Input: a, b, c, s[256] // state
Output: r[256]         // results

mix(a,i) = a ^ a &lt;&lt; 13   if i = 0 mod 4
           a ^ a &gt;&gt;  6   if i = 1 mod 4
           a ^ a &lt;&lt;  2   if i = 2 mod 4
           a ^ a &gt;&gt; 16   if i = 3 mod 4

c = c + 1
b = b + c

for i in 0..256 {
    x = s_[i]
    a = f(a,i) + s[i+128 mod 256]
    y = a + b + s[x&gt;&gt;2 mod 256]
    s[i] = y
    b = x + s[y&gt;&gt;10 mod 256]
    r[i] = b
}
</code></pre>
<p>Numbers are generated in blocks of 256. This means the function above only
runs once every 256 times you ask for a next random number. In all other
circumstances the last element of the results array is returned.</p>
<p>ISAAC therefore needs a lot of memory, relative to other non-crypto RNGs.
2 * 256 * 4 = 2 kb to hold the state and results.</p>
<p>This implementation uses <a href="../../../rand_core/block/struct.BlockRng.html"><code>BlockRng</code></a> to implement the <a href="../../trait.RngCore.html"><code>RngCore</code></a> methods.</p>
<h2 id="references" class="section-header"><a href="#references">References</a></h2><div class="footnotes"><hr><ol><li id="fn1">
<p>Bob Jenkins, <a href="http://burtleburtle.net/bob/rand/isaacafa.html"><em>ISAAC: A fast cryptographic random number generator</em></a>&nbsp;<a href="#fnref1" rev="footnote">↩</a></p></li><li id="fn2">
<p>Bob Jenkins, <a href="http://burtleburtle.net/bob/rand/isaac.html"><em>ISAAC and RC4</em></a>&nbsp;<a href="#fnref2" rev="footnote">↩</a></p></li><li id="fn3">
<p>Jean-Philippe Aumasson, <a href="https://eprint.iacr.org/2006/438"><em>On the pseudo-random generator ISAAC</em></a>&nbsp;<a href="#fnref3" rev="footnote">↩</a></p></li></ol></div></div>
                    <h2 id='methods' class='small-section-header'>
                      Methods<a href='#methods' class='anchor'></a>
                    </h2>
                <h3 id='impl' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="struct" href="../../../rand/prng/isaac/struct.IsaacRng.html" title="struct rand::prng::isaac::IsaacRng">IsaacRng</a></code><a href='#impl' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#129-145' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><div class='impl-items'><h4 id='method.new_unseeded' class="method"><span id='new_unseeded.v' class='invisible'><table class='table-display'><tbody><tr><td><code>pub fn <a href='#method.new_unseeded' class='fnname'>new_unseeded</a>() -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#135-137' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><div class='stability'><div class='stab deprecated'>Deprecated since 0.5.0<p>: use the FromEntropy or SeedableRng trait</p>
</div></div><div class='docblock'><p>Create an ISAAC random number generator using the default
fixed seed.</p>
<p>DEPRECATED. <code>IsaacRng::new_from_u64(0)</code> will produce identical results.</p>
</div><h4 id='method.new_from_u64' class="method"><span id='new_from_u64.v' class='invisible'><table class='table-display'><tbody><tr><td><code>pub fn <a href='#method.new_from_u64' class='fnname'>new_from_u64</a>(seed: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a>) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#142-144' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><div class='docblock'><p>Create an ISAAC random number generator using an <code>u64</code> as seed.
If <code>seed == 0</code> this will produce the same stream of random numbers as
the reference implementation when used unseeded.</p>
</div></div>
                <h2 id='implementations' class='small-section-header'>
                  Trait Implementations<a href='#implementations' class='anchor'></a>
                </h2>
                <div id='implementations-list'><h3 id='impl-Clone' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html" title="trait core::clone::Clone">Clone</a> for <a class="struct" href="../../../rand/prng/isaac/struct.IsaacRng.html" title="struct rand::prng::isaac::IsaacRng">IsaacRng</a></code><a href='#impl-Clone' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#93' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><div class='impl-items'><h4 id='method.clone' class="method"><span id='clone.v' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone' class='fnname'>clone</a>(&amp;self) -&gt; <a class="struct" href="../../../rand/prng/isaac/struct.IsaacRng.html" title="struct rand::prng::isaac::IsaacRng">IsaacRng</a></code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#93' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><div class='docblock'><p>Returns a copy of the value. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#tymethod.clone">Read more</a></p>
</div><h4 id='method.clone_from' class="method"><span id='clone_from.v' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from' class='fnname'>clone_from</a>(&amp;mut self, source: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.reference.html">&amp;</a>Self)</code></span></td><td><span class='out-of-band'><div class='ghost'></div><div class='since' title='Stable since Rust version 1.0.0'>1.0.0</div><a class='srclink' href='https://doc.rust-lang.org/nightly/src/core/clone.rs.html#130-132' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><div class='docblock'><p>Performs copy-assignment from <code>source</code>. <a href="https://doc.rust-lang.org/nightly/core/clone/trait.Clone.html#method.clone_from">Read more</a></p>
</div></div><h3 id='impl-Debug' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html" title="trait core::fmt::Debug">Debug</a> for <a class="struct" href="../../../rand/prng/isaac/struct.IsaacRng.html" title="struct rand::prng::isaac::IsaacRng">IsaacRng</a></code><a href='#impl-Debug' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#93' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><div class='impl-items'><h4 id='method.fmt' class="method"><span id='fmt.v' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt' class='fnname'>fmt</a>(&amp;self, f: &amp;mut <a class="struct" href="https://doc.rust-lang.org/nightly/core/fmt/struct.Formatter.html" title="struct core::fmt::Formatter">Formatter</a>) -&gt; <a class="type" href="https://doc.rust-lang.org/nightly/core/fmt/type.Result.html" title="type core::fmt::Result">Result</a></code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#93' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><div class='docblock'><p>Formats the value using the given formatter. <a href="https://doc.rust-lang.org/nightly/core/fmt/trait.Debug.html#tymethod.fmt">Read more</a></p>
</div></div><h3 id='impl-RngCore' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="../../../rand/trait.RngCore.html" title="trait rand::RngCore">RngCore</a> for <a class="struct" href="../../../rand/prng/isaac/struct.IsaacRng.html" title="struct rand::prng::isaac::IsaacRng">IsaacRng</a></code><a href='#impl-RngCore' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#97-115' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><div class='impl-items'><h4 id='method.next_u32' class="method"><span id='next_u32.v' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='../../../rand/trait.RngCore.html#tymethod.next_u32' class='fnname'>next_u32</a>(&amp;mut self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u32.html">u32</a></code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#99-101' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><div class='docblock'><p>Return the next random <code>u32</code>. <a href="../../../rand/trait.RngCore.html#tymethod.next_u32">Read more</a></p>
</div><h4 id='method.next_u64' class="method"><span id='next_u64.v' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='../../../rand/trait.RngCore.html#tymethod.next_u64' class='fnname'>next_u64</a>(&amp;mut self) -&gt; <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u64.html">u64</a></code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#104-106' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><div class='docblock'><p>Return the next random <code>u64</code>. <a href="../../../rand/trait.RngCore.html#tymethod.next_u64">Read more</a></p>
</div><h4 id='method.fill_bytes' class="method"><span id='fill_bytes.v' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='../../../rand/trait.RngCore.html#tymethod.fill_bytes' class='fnname'>fill_bytes</a>(&amp;mut self, dest: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">&amp;mut [</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">]</a>)</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#108-110' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><div class='docblock'><p>Fill <code>dest</code> with random data. <a href="../../../rand/trait.RngCore.html#tymethod.fill_bytes">Read more</a></p>
</div><h4 id='method.try_fill_bytes' class="method"><span id='try_fill_bytes.v' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='../../../rand/trait.RngCore.html#tymethod.try_fill_bytes' class='fnname'>try_fill_bytes</a>(&amp;mut self, dest: <a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">&amp;mut [</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.u8.html">u8</a><a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.slice.html">]</a>) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;<a class="primitive" href="https://doc.rust-lang.org/nightly/std/primitive.unit.html">()</a>, <a class="struct" href="../../../rand/struct.Error.html" title="struct rand::Error">Error</a>&gt;</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#112-114' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><div class='docblock'><p>Fill <code>dest</code> entirely with random data. <a href="../../../rand/trait.RngCore.html#tymethod.try_fill_bytes">Read more</a></p>
</div></div><h3 id='impl-SeedableRng' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="../../../rand/trait.SeedableRng.html" title="trait rand::SeedableRng">SeedableRng</a> for <a class="struct" href="../../../rand/prng/isaac/struct.IsaacRng.html" title="struct rand::prng::isaac::IsaacRng">IsaacRng</a></code><a href='#impl-SeedableRng' class='anchor'></a></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#117-127' title='goto source code'>[src]</a></span></td></tr></tbody></table></h3><div class='impl-items'><h4 id='associatedtype.Seed' class="type"><span id='Seed.t' class='invisible'><code>type <a href='../../../rand/trait.SeedableRng.html#associatedtype.Seed' class="type">Seed</a> = &lt;<a class="struct" href="../../../rand/prng/isaac/struct.IsaacCore.html" title="struct rand::prng::isaac::IsaacCore">IsaacCore</a> as <a class="trait" href="../../../rand/trait.SeedableRng.html" title="trait rand::SeedableRng">SeedableRng</a>&gt;::<a class="type" href="../../../rand/trait.SeedableRng.html#associatedtype.Seed" title="type rand::SeedableRng::Seed">Seed</a></code></span></h4>
<div class='docblock'><p>Seed type, which is restricted to types mutably-dereferencable as <code>u8</code> arrays (we recommend <code>[u8; N]</code> for some <code>N</code>). <a href="../../../rand/trait.SeedableRng.html#associatedtype.Seed">Read more</a></p>
</div><h4 id='method.from_seed' class="method"><span id='from_seed.v' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='../../../rand/trait.SeedableRng.html#tymethod.from_seed' class='fnname'>from_seed</a>(seed: Self::<a class="type" href="../../../rand/trait.SeedableRng.html#associatedtype.Seed" title="type rand::SeedableRng::Seed">Seed</a>) -&gt; Self</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#120-122' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><div class='docblock'><p>Create a new PRNG using the given seed. <a href="../../../rand/trait.SeedableRng.html#tymethod.from_seed">Read more</a></p>
</div><h4 id='method.from_rng' class="method"><span id='from_rng.v' class='invisible'><table class='table-display'><tbody><tr><td><code>fn <a href='../../../rand/trait.SeedableRng.html#method.from_rng' class='fnname'>from_rng</a>&lt;S:&nbsp;<a class="trait" href="../../../rand/trait.RngCore.html" title="trait rand::RngCore">RngCore</a>&gt;(rng: S) -&gt; <a class="enum" href="https://doc.rust-lang.org/nightly/core/result/enum.Result.html" title="enum core::result::Result">Result</a>&lt;Self, <a class="struct" href="../../../rand/struct.Error.html" title="struct rand::Error">Error</a>&gt;</code></span></td><td><span class='out-of-band'><div class='ghost'></div><a class='srclink' href='../../../src/rand/prng/isaac.rs.html#124-126' title='goto source code'>[src]</a></td></tr></tbody></table></span></h4><div class='docblock'><p>Create a new PRNG seeded from another <code>Rng</code>. <a href="../../../rand/trait.SeedableRng.html#method.from_rng">Read more</a></p>
</div></div></div>
                <h2 id='synthetic-implementations' class='small-section-header'>
                  Auto Trait Implementations<a href='#synthetic-implementations' class='anchor'></a>
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            <h3 id='impl-Send' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Send.html" title="trait core::marker::Send">Send</a> for <a class="struct" href="../../../rand/prng/isaac/struct.IsaacRng.html" title="struct rand::prng::isaac::IsaacRng">IsaacRng</a></code><a href='#impl-Send' class='anchor'></a></span></td><td><span class='out-of-band'></span></td></tr></tbody></table></h3><div class='impl-items'></div><h3 id='impl-Sync' class='impl'><span class='in-band'><table class='table-display'><tbody><tr><td><code>impl <a class="trait" href="https://doc.rust-lang.org/nightly/core/marker/trait.Sync.html" title="trait core::marker::Sync">Sync</a> for <a class="struct" href="../../../rand/prng/isaac/struct.IsaacRng.html" title="struct rand::prng::isaac::IsaacRng">IsaacRng</a></code><a href='#impl-Sync' class='anchor'></a></span></td><td><span class='out-of-band'></span></td></tr></tbody></table></h3><div class='impl-items'></div></div></section><section id="search" class="content hidden"></section><section class="footer"></section><aside id="help" class="hidden"><div><h1 class="hidden">Help</h1><div class="shortcuts"><h2>Keyboard Shortcuts</h2><dl><dt><kbd>?</kbd></dt><dd>Show this help dialog</dd><dt><kbd>S</kbd></dt><dd>Focus the search field</dd><dt><kbd>↑</kbd></dt><dd>Move up in search results</dd><dt><kbd>↓</kbd></dt><dd>Move down in search results</dd><dt><kbd>↹</kbd></dt><dd>Switch tab</dd><dt><kbd>&#9166;</kbd></dt><dd>Go to active search result</dd><dt><kbd>+</kbd></dt><dd>Expand all sections</dd><dt><kbd>-</kbd></dt><dd>Collapse all sections</dd></dl></div><div class="infos"><h2>Search Tricks</h2><p>Prefix searches with a type followed by a colon (e.g. <code>fn:</code>) to restrict the search to a given type.</p><p>Accepted types are: <code>fn</code>, <code>mod</code>, <code>struct</code>, <code>enum</code>, <code>trait</code>, <code>type</code>, <code>macro</code>, and <code>const</code>.</p><p>Search functions by type signature (e.g. <code>vec -> usize</code> or <code>* -> vec</code>)</p><p>Search multiple things at once by splitting your query with comma (e.g. <code>str,u8</code> or <code>String,struct:Vec,test</code>)</p></div></div></aside><script>window.rootPath = "../../../";window.currentCrate = "rand";</script><script src="../../../aliases.js"></script><script src="../../../main.js"></script><script defer src="../../../search-index.js"></script></body></html>