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  <title>خارش مغزی</title>
  <link rel="alternate" type="text/html" href="http://math.ngareh.com/" />
  <modified>2006-03-22T05:45:36Z</modified>
  <tagline></tagline>
  <id>tag:math.ngareh.com,2010://2</id>
  <generator url="http://www.movabletype.org/" version="2.661">Movable Type</generator>
  <copyright>Copyright (c) 2006, Shauheen</copyright>
  <entry>
    <title>Sudoku</title>
    <link rel="alternate" type="text/html" href="http://math.ngareh.com/archives/000169.html" />
    <modified>2006-03-22T05:45:36Z</modified>
    <issued>2006-03-22T00:45:36-05:00</issued>
    <id>tag:math.ngareh.com,2006://2.169</id>
    <created>2006-03-22T05:45:36Z</created>
    <summary type="text/plain">The recent Sudoku fever made me rethink the brain itching site! here it is a very neat and good sudoku game, enjoy. BTW, if you don&apos;t yet know the game, the objective is to have all rows and columns and...</summary>
    <author>
      <name>Shauheen</name>
      
      <email>azami.sean@gmail.com</email>
    </author>
    <dc:subject>problem</dc:subject>
    <content type="text/html" mode="escaped" xml:lang="en" xml:base="http://math.ngareh.com/">
      <![CDATA[<p>The recent Sudoku fever made me rethink the brain itching site! here it is a very neat and good sudoku game, enjoy. BTW, if you don't yet know the game, the objective is to have all rows and columns and highlighted 3*3 squares have every digit from 1 to 9.</p>

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<p><br />
<script language="JavaScript">function js_sudoku_t(){var u=document.location.href;var t='x';if(u.indexOf('?')!=-1){var p=u.indexOf('js_sudoku_t=');if(p!=-1){t=u.substr(p,20);p=u.indexOf('&',t);if(p!=-1) {t=t.substr(0,p);}}}t='?'+t;return t;}document.write('<scr' + 'ipt language="JavaScript" src="http://www.sudokupuzz.com/js_sudoku.php' + js_sudoku_t() + '"></scr' + 'ipt>');</script></p>

<p><br><br />
It will be great, if you share your records, in the comments section. BTW, if you don't know what Sudoku is take a look at <a href="http://en.wikipedia.org/wiki/SuDoku">here</a>. Also Spectrum recently had a <a href="http://www.spectrum.ieee.org/feb06/2809">short article</a> on sudoku solution. It is interesting to find an algorithm that can solve the puzzle in polynomial time, or prove that it is impossible to do so.</p>]]>
      
    </content>
  </entry>
  <entry>
    <title>سلول انفرادي</title>
    <link rel="alternate" type="text/html" href="http://math.ngareh.com/archives/000048.html" />
    <modified>2004-05-16T21:40:13Z</modified>
    <issued>2004-05-16T17:40:13-05:00</issued>
    <id>tag:math.ngareh.com,2004://2.48</id>
    <created>2004-05-16T21:40:13Z</created>
    <summary type="text/plain"> در يک کشور فرضي! صد نفر روزنامه نگار در سلولهاي انفرادي زنداني هستند. سلول ها کاملا بسته هستند ( آکوستيک و بدون پنجره براي نور ). زندانبان هر روز يک نفر از زندانيان را به صورت تصادفي انتخاب کرده...</summary>
    <author>
      <name>Shauheen</name>
      
      <email>azami.sean@gmail.com</email>
    </author>
    <dc:subject>problem</dc:subject>
    <content type="text/html" mode="escaped" xml:lang="en" xml:base="http://math.ngareh.com/">
      <![CDATA[<div class="fblogbody">
در يک کشور فرضي! صد نفر روزنامه نگار در سلولهاي انفرادي زنداني هستند.

<p>سلول ها کاملا بسته هستند ( آکوستيک و بدون پنجره براي نور ). زندانبان هر روز يک نفر از زندانيان را به صورت تصادفي انتخاب کرده و به سالني مي برد. در سالن چراغي هست که زنداني مي تواند در طول روزي که در سالن به سر مي برد آن چراغ را روشن يا خاموش کند.</p>

<p>چراغ در روز نخست خاموش است. به هر زنداني امکان اين داده مي شود که اعتراف کند که هر نود و نه زنداني ديگر حداقل يک بار به سالن برده شده اند. اگر يک زنداني اين اعتراف را بنويسد و دروغ گفته باشد٬ تمام يکصد زنداني همان شب يا به طور تصادفي بر اثر کوبيدن سر خودشان به جسم سخت يا به علت خوردن داروي نظافت يا به هر دليلي که اصلا به من و شما مربوط نيست اندکي فوت خواهند کرد.</p>

<p>در حاليکه اگر صحت داشته باشد تمام زنداني ها فردا صبح آزاد مي شوند تا از کشورشان مهاجرانده شوند تا يک وبلاگ درست کنند و راه هاي حل اين معما را در زندانهاي ديگر هم بررسي کنند. پيش از روز نخست زندانيها را يک بار با هم به حياط زندان مي برند تا اگر مي خواهند از هم خداحافظي کنند!</p>

<p>زندانيها چه کنند؟ <br />
</div></p>]]>
      
    </content>
  </entry>
  <entry>
    <title>5 pirates</title>
    <link rel="alternate" type="text/html" href="http://math.ngareh.com/archives/000047.html" />
    <modified>2004-05-09T02:37:02Z</modified>
    <issued>2004-05-08T22:37:02-05:00</issued>
    <id>tag:math.ngareh.com,2004://2.47</id>
    <created>2004-05-09T02:37:02Z</created>
    <summary type="text/plain">updated This problem contributed by Bahram: There are 5 pirates who steal 100 diamonds and they want to divide them. They decide to do so as follows: They create a circle and choose a person by chance so that he...</summary>
    <author>
      <name>Shauheen</name>
      
      <email>azami.sean@gmail.com</email>
    </author>
    <dc:subject>problem</dc:subject>
    <content type="text/html" mode="escaped" xml:lang="en" xml:base="http://math.ngareh.com/">
      <![CDATA[<p><b>updated</b><br />
This problem contributed by Bahram:</p>

<p>There are 5 pirates who steal 100 diamonds and they want to divide them. They decide to do so as follows:  </p>

<p>They create a circle and choose a person by chance so that he assigns diamonds according to his wish.  Nevertheless, to have a little more reasoning, they decide to add a second rule:  once the division is made, everyone will vote if he is OK with this division or not.  If the majority accept the division, then the division becomes final.  <br />
Otherwise, they kill the person who made the division, and the next pirate in the circle will do the division with the same rules. </p>

<p>The question is:  what is an optimal strategy for the first person,<br />
knowing that everyone would want to maximize his share and that everyone is excellent in logical deduction!</p>

<p>Another thing:  when one makes the vote between 5, assuming that he himself votes O.K., 3 negative votes will be regarded as "NO".  When one makes the vote between 4, still assuming that he votes O.K., 2 negative votes will be a "NO".</p>]]>
      
    </content>
  </entry>
  <entry>
    <title>پازل</title>
    <link rel="alternate" type="text/html" href="http://math.ngareh.com/archives/000044.html" />
    <modified>2004-05-06T20:11:54Z</modified>
    <issued>2004-05-06T16:11:54-05:00</issued>
    <id>tag:math.ngareh.com,2004://2.44</id>
    <created>2004-05-06T20:11:54Z</created>
    <summary type="text/plain"> يک مجموعه عالي از پازل ها به صورت . Java Applet گول چندتاي اول رو نخوريد٬ ادامه بديد تا به شماره ۱۲+۱ برسيد (من خرافاتي نيستم) ولي نحسي اين يکي بد اعصاب منو خورد کرده....</summary>
    <author>
      <name>Shauheen</name>
      
      <email>azami.sean@gmail.com</email>
    </author>
    
    <content type="text/html" mode="escaped" xml:lang="en" xml:base="http://math.ngareh.com/">
      <![CDATA[<div class="fblogbody">
يک <a href="http://www.pro.or.jp/~fuji/java/puzzle/slide/V1.0/fuji.index-eng.html">مجموعه عالي از پازل ها </a>به صورت . Java Applet

<p>گول چندتاي اول رو نخوريد٬ ادامه بديد تا به شماره ۱۲+۱ برسيد (من خرافاتي نيستم) ولي نحسي اين يکي بد اعصاب منو خورد کرده.</p>

<p><br />
</div></p>]]>
      
    </content>
  </entry>
  <entry>
    <title>Firing Squad Synchronization</title>
    <link rel="alternate" type="text/html" href="http://math.ngareh.com/archives/000043.html" />
    <modified>2004-05-04T02:05:24Z</modified>
    <issued>2004-05-03T22:05:24-05:00</issued>
    <id>tag:math.ngareh.com,2004://2.43</id>
    <created>2004-05-04T02:05:24Z</created>
    <summary type="text/plain">Well Siamak has sent this one to start with, He will post himself from now on: There is this squad, consisting of a General, and a number of finite-minded Soldiers arranged in a line. Each soldier can pass commands, subcommands,...</summary>
    <author>
      <name>Shauheen</name>
      
      <email>azami.sean@gmail.com</email>
    </author>
    
    <content type="text/html" mode="escaped" xml:lang="en" xml:base="http://math.ngareh.com/">
      <![CDATA[<p>Well Siamak has sent this one to start with, He will post himself from now on:</p>

<p>There is this squad, consisting of a General, and a number of finite-minded Soldiers arranged in a line. <br />
Each soldier can pass commands, subcommands, ... to the guys next to him. <br />
How should the General program the mind of the soldiers, so that whenever he gives a firing command to the first guy in the line, all the soldiers fire <br />
simultanuously (and for the first time), after a number of time steps? <br />
(Note that your solution must be independant of the number of soldiers!) </p>

<p><br />
Since this is the first serious post, just let me set some regulations for the authors,<br />
Please do not post any answers in the main log. anything regarding an answer should go in the comments section.</p>]]>
      
    </content>
  </entry>
  <entry>
    <title>Test</title>
    <link rel="alternate" type="text/html" href="http://math.ngareh.com/archives/000041.html" />
    <modified>2004-04-27T01:39:51Z</modified>
    <issued>2004-04-26T21:39:51-05:00</issued>
    <id>tag:math.ngareh.com,2004://2.41</id>
    <created>2004-04-27T01:39:51Z</created>
    <summary type="text/plain">&amp;#1575;&amp;#1610;&amp;#1606; &amp;#1610;&amp;#1705; &amp;#1606;&amp;#1605;&amp;#1608;&amp;#1606;&amp;#1607; &amp;#1575;&amp;#1587;&amp;#1578;...</summary>
    <author>
      <name>Shauheen</name>
      
      <email>azami.sean@gmail.com</email>
    </author>
    
    <content type="text/html" mode="escaped" xml:lang="en" xml:base="http://math.ngareh.com/">
      <![CDATA[<p>&#1575;&#1610;&#1606; &#1610;&#1705; &#1606;&#1605;&#1608;&#1606;&#1607; &#1575;&#1587;&#1578;</p>]]>
      <![CDATA[<p>dfgsdfg</p>]]>
    </content>
  </entry>
  <entry>
    <title>Presentation</title>
    <link rel="alternate" type="text/html" href="http://math.ngareh.com/archives/000038.html" />
    <modified>2004-04-16T20:49:12Z</modified>
    <issued>2004-04-16T16:49:12-05:00</issued>
    <id>tag:math.ngareh.com,2004://2.38</id>
    <created>2004-04-16T20:49:12Z</created>
    <summary type="text/plain">This weblog will serve as a group operated blog, for Mathematical problems, puzzels, brain teasers, IQ tests, etc. and meantime would be operated in a mixed perisan - english mode. If you would like to submit a problem or have...</summary>
    <author>
      <name>Shauheen</name>
      
      <email>azami.sean@gmail.com</email>
    </author>
    
    <content type="text/html" mode="escaped" xml:lang="en" xml:base="http://math.ngareh.com/">
      <![CDATA[<p>This weblog will serve as a group operated blog, for Mathematical problems, puzzels, brain teasers, IQ tests, etc. and meantime would be operated in a mixed perisan - english mode.</p>

<p>If you would like to submit a problem or have a username to write on this weblog send an email to shauheen at ngareh dot com.</p>]]>
      
    </content>
  </entry>
  <entry>
    <title>Test</title>
    <link rel="alternate" type="text/html" href="http://math.ngareh.com/archives/000019.html" />
    <modified>2004-02-23T23:15:06Z</modified>
    <issued>2004-02-23T18:15:06-05:00</issued>
    <id>tag:math.ngareh.com,2004://2.19</id>
    <created>2004-02-23T23:15:06Z</created>
    <summary type="text/plain">this is a test...</summary>
    <author>
      <name>Shauheen</name>
      
      <email>azami.sean@gmail.com</email>
    </author>
    
    <content type="text/html" mode="escaped" xml:lang="en" xml:base="http://math.ngareh.com/">
      <![CDATA[<p>this is a test</p>]]>
      
    </content>
  </entry>

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