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<?xml-stylesheet type="text/xsl" media="screen" href="/~d/styles/atom10full.xsl"?><?xml-stylesheet type="text/css" media="screen" href="http://feeds.feedburner.com/~d/styles/itemcontent.css"?><feed xmlns="http://www.w3.org/2005/Atom" xmlns:openSearch="http://a9.com/-/spec/opensearch/1.1/" xmlns:georss="http://www.georss.org/georss" xmlns:gd="http://schemas.google.com/g/2005" xmlns:thr="http://purl.org/syndication/thread/1.0" xmlns:feedburner="http://rssnamespace.org/feedburner/ext/1.0" gd:etag="W/&quot;DE4BQnc9fCp7ImA9WhRRFE4.&quot;"><id>tag:blogger.com,1999:blog-8985764703000202097</id><updated>2011-11-27T15:35:53.964-08:00</updated><category term="random number genaration" /><category term="manny" /><category term="extraordinary" /><category term="computational method" /><category term="travelling salesman problem" /><category term="champion" /><category term="fight" /><category term="physical method" /><category term="pacquiao" /><category term="comsci" /><title>Analyn Sarte's Sancturay</title><subtitle type="html" /><link rel="http://schemas.google.com/g/2005#feed" type="application/atom+xml" href="http://com-sci2009.blogspot.com/feeds/posts/default" /><link rel="alternate" type="text/html" href="http://com-sci2009.blogspot.com/" /><author><name>analynsarte</name><uri>http://www.blogger.com/profile/07172957981257473023</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="24" src="http://3.bp.blogspot.com/_2uuLxectaBs/SkHFWTiq_wI/AAAAAAAAAAM/P8-yjtJN3cU/S220/r.jpg" /></author><generator version="7.00" uri="http://www.blogger.com">Blogger</generator><openSearch:totalResults>11</openSearch:totalResults><openSearch:startIndex>1</openSearch:startIndex><openSearch:itemsPerPage>25</openSearch:itemsPerPage><atom10:link xmlns:atom10="http://www.w3.org/2005/Atom" rel="self" type="application/atom+xml" href="http://feeds.feedburner.com/blogspot/bPaM" /><feedburner:info uri="blogspot/bpam" /><atom10:link xmlns:atom10="http://www.w3.org/2005/Atom" rel="hub" href="http://pubsubhubbub.appspot.com/" /><entry gd:etag="W/&quot;DE8HQ3Y_cSp7ImA9Wx9bFU8.&quot;"><id>tag:blogger.com,1999:blog-8985764703000202097.post-1681881042408273413</id><published>2011-02-23T21:53:00.000-08:00</published><updated>2011-02-23T21:53:52.849-08:00</updated><app:edited xmlns:app="http://www.w3.org/2007/app">2011-02-23T21:53:52.849-08:00</app:edited><category scheme="http://www.blogger.com/atom/ns#" term="champion" /><category scheme="http://www.blogger.com/atom/ns#" term="pacquiao" /><category scheme="http://www.blogger.com/atom/ns#" term="fight" /><category scheme="http://www.blogger.com/atom/ns#" term="extraordinary" /><category scheme="http://www.blogger.com/atom/ns#" term="manny" /><title>Pacquiao's Secret</title><content type="html">&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;span style="font-family: inherit; font-size: x-small;"&gt;What's with Manny Pacquiao? Aside from the revealed secrets, is there any hidden truth that make him truimph every battle? Manny Pacquiao is the IBO and Ring junior welterweight champion and the best pound for pound fighter in boxing today.&lt;strong&gt;&lt;/strong&gt;So what’s more to him?&lt;/span&gt;&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://4.bp.blogspot.com/_l4DikVSyAIU/SUHS4K1oaII/AAAAAAAAAF4/gOu6snvzkCw/s1600-h/Hulk+helps+manny+pacquiao.jpg" style="margin-left: 1em; margin-right: 1em;"&gt;&lt;img alt="" border="0" id="BLOGGER_PHOTO_ID_5278732100678740098" src="http://64.19.142.15/4.bp.blogspot.com/_l4DikVSyAIU/SUHS4K1oaII/AAAAAAAAAF4/gOu6snvzkCw/s320/Hulk+helps+manny+pacquiao.jpg" style="height: 251px; width: 320px;" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;span style="font-family: inherit;"&gt;&lt;span style="font-size: x-small;"&gt;&lt;strong&gt;Pacman loves veggies.&amp;nbsp;&lt;/strong&gt;In an interview, he said, “We should not eat just meat. We need to eat much and different vegetables to have a strong body and resistance.”&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;span style="font-family: inherit;"&gt;&lt;span style="font-size: x-small;"&gt;&lt;strong&gt;A great coach named Roach. &lt;/strong&gt;Indeed in every great athlete comes a great coach. Manny Pacquiao wouldn’t be on his peak today without a man on his back named, &lt;strong&gt;Freddy Roach.&lt;/strong&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;span style="font-family: inherit;"&gt;&lt;span style="font-size: x-small;"&gt;&lt;strong&gt;He never forgets to pray. &lt;/strong&gt;As seen during his fight on the ring, he always has a moment in one corner to pray before he faces the match.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;a href="http://2.bp.blogspot.com/_l4DikVSyAIU/SUJfry86VKI/AAAAAAAAAH4/b4Pt8PXEYaI/s1600-h/Power+rangers+help+manny+pacquiao.jpg" style="clear: right; cssfloat: right; float: right; margin-bottom: 1em; margin-left: 1em;"&gt;&lt;/a&gt;&lt;span style="font-family: inherit;"&gt;&lt;span style="font-size: x-small;"&gt;&lt;strong&gt;A big cheer and a big crowd &lt;/strong&gt;strengthen him. Pacquiao knows he needed his fans support. It’s like a holiday in the Philippines whenever he’s in MGM Grand. There’s an hour of pause in everything. His victory is the Philippine's victory. He even gives tickets to his friends to watch him fight live in Las Vegas.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;span style="font-family: inherit;"&gt;&lt;span style="font-size: x-small;"&gt;&lt;strong&gt;Pacquiao stays humble &lt;/strong&gt;inspite of fame.&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;span style="font-family: inherit; font-size: x-small;"&gt;&amp;nbsp;I am not really a big&amp;nbsp;fun of manny but I salute on him. He is just an ordinary person with an extraordinay ability. He maximize what has God has given to him. I just hope that he will truly remain his foot on the ground. He can be&amp;nbsp;a good example to our new generation.&lt;/span&gt;&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div style="border-bottom: medium none; border-left: medium none; border-right: medium none; border-top: medium none;"&gt;&lt;span style="font-family: inherit; font-size: x-small;"&gt;&lt;a href="http://com-sci2009.blogspot.com/"&gt;computer-science&lt;/a&gt;&lt;/span&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/8985764703000202097-1681881042408273413?l=com-sci2009.blogspot.com' alt='' /&gt;&lt;/div&gt;
&lt;p&gt;&lt;a href="http://feedads.g.doubleclick.net/~a/5mOo2Hm59B1DySPyuIeA5oJGDM0/0/da"&gt;&lt;img src="http://feedads.g.doubleclick.net/~a/5mOo2Hm59B1DySPyuIeA5oJGDM0/0/di" border="0" ismap="true"&gt;&lt;/img&gt;&lt;/a&gt;&lt;br/&gt;
&lt;a href="http://feedads.g.doubleclick.net/~a/5mOo2Hm59B1DySPyuIeA5oJGDM0/1/da"&gt;&lt;img src="http://feedads.g.doubleclick.net/~a/5mOo2Hm59B1DySPyuIeA5oJGDM0/1/di" border="0" ismap="true"&gt;&lt;/img&gt;&lt;/a&gt;&lt;/p&gt;&lt;img src="http://feeds.feedburner.com/~r/blogspot/bPaM/~4/UAWslRLmgeM" height="1" width="1"/&gt;</content><link rel="replies" type="application/atom+xml" href="http://com-sci2009.blogspot.com/feeds/1681881042408273413/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://com-sci2009.blogspot.com/2011/02/pacquiaos-secret.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/8985764703000202097/posts/default/1681881042408273413?v=2" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/8985764703000202097/posts/default/1681881042408273413?v=2" /><link rel="alternate" type="text/html" href="http://feedproxy.google.com/~r/blogspot/bPaM/~3/UAWslRLmgeM/pacquiaos-secret.html" title="Pacquiao's Secret" /><author><name>analynsarte</name><uri>http://www.blogger.com/profile/07172957981257473023</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="24" src="http://3.bp.blogspot.com/_2uuLxectaBs/SkHFWTiq_wI/AAAAAAAAAAM/P8-yjtJN3cU/S220/r.jpg" /></author><thr:total>0</thr:total><feedburner:origLink>http://com-sci2009.blogspot.com/2011/02/pacquiaos-secret.html</feedburner:origLink></entry><entry gd:etag="W/&quot;CEMFQXY4eyp7ImA9WxFWEU8.&quot;"><id>tag:blogger.com,1999:blog-8985764703000202097.post-1462358860728077490</id><published>2010-05-29T01:40:00.000-07:00</published><updated>2010-05-29T01:40:10.833-07:00</updated><app:edited xmlns:app="http://www.w3.org/2007/app">2010-05-29T01:40:10.833-07:00</app:edited><title>May Crafts and Special Days</title><content type="html">&lt;div class="separator" style="clear: both; text-align: center;"&gt;&lt;a href="http://4.bp.blogspot.com/_2uuLxectaBs/TADNsBcV4WI/AAAAAAAAAAw/h_S5QoJk-Vs/s1600/maycrafts.jpg" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"&gt;&lt;img border="0" height="193" src="http://4.bp.blogspot.com/_2uuLxectaBs/TADNsBcV4WI/AAAAAAAAAAw/h_S5QoJk-Vs/s320/maycrafts.jpg" width="320" /&gt;&lt;/a&gt;&lt;/div&gt;&lt;i&gt;&lt;b&gt;May is about to end but there are still more in it.&lt;/b&gt;&lt;/i&gt;&lt;b&gt; &lt;/b&gt;&lt;br /&gt;
&lt;i&gt;&lt;b&gt;Here are the list of activities that you and your kids will learn:&lt;/b&gt;&lt;/i&gt;&lt;br /&gt;
&lt;i&gt;&lt;br /&gt;
&lt;/i&gt;&lt;br /&gt;
&lt;i&gt;&lt;span class="Apple-style-span" style="-webkit-border-horizontal-spacing: 6px; -webkit-border-vertical-spacing: 6px; color: #464646; font-family: arial; font-size: 13px; font-style: normal;"&gt;&lt;/span&gt;&lt;/i&gt;&lt;br /&gt;
&lt;i&gt;&lt;/i&gt;&lt;br /&gt;
&lt;i&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; color: #464646; font-family: arial; font-size: 14px; font-style: normal; font-variant: normal; font-weight: normal; line-height: normal; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-size: small;"&gt;&lt;span class="Apple-style-span" style="font-size: 13px;"&gt;&lt;span class="Apple-style-span" style="font-size: medium;"&gt;&lt;span class="Apple-style-span" style="font-size: 14px;"&gt;&lt;b&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;br /&gt;
&lt;span class="Apple-style-span" style="font-size: small;"&gt;&lt;span class="Apple-style-span" style="font-size: 13px;"&gt;&lt;span class="Apple-style-span" style="font-size: medium;"&gt;&lt;span class="Apple-style-span" style="font-size: 14px;"&gt;&lt;b&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 1&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Mother Goose Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Hawaiian Lei Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;May Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 2&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Space Day&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Make a Cosmic Mobile&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Sculpt a Planet&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Eat Space Pudding&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 4&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Weather Observers' Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Make a Weathervane&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Mud Puddles and Bubbles&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Rainsticks&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Weather Activities for Preschoolers&lt;/span&gt;&amp;nbsp;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 5&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Cinco de Mayo&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Cinco de Mayo ("The Fifth of May" in Spanish) is a national holiday in Mexico which is also widely celebrated in the United States. It commemorates the victory of Mexican forces led by General Ignacio Zaragoza Seguin over the French occupational forces in the Battle of Puebla on May 5, 1862.&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;CINCO DE MAYO CRAFTS&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Celebrate this day by creating multicultural arts and crafts.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Children's Day (Japan)&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Teaching Primary School Children about Japan through Art&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 6&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Explorer Robert Peary's Birthday, 1856&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 7&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Tchaikovsky's Birthday (1840)&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Teacher Day&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 8&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Victory Day in Europe, 1945&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;No Socks Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Receptionists Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Make a Crafty Gift&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Red Cross Day&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 10&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Child Care Provider Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Visit KinderArt Littles for ECE ideas&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Clean Up Your Room Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Mother's Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;The Mother's Day holiday, celebrates motherhood generally and the contributions of mothers to society. It falls on the second Sunday of each May. It is the result of a campaign by Anna Marie Jarvis (1864-1948), who, following the death of her mother on May 9, 1905, devoted her life to establishing Mother's Day as a national, and later an international, holiday.&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;MOTHER'S DAY CRAFTS&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Find lots of fun things to do to celebrate Mother's Day and find great gift ideas for mom too.&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 12&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Limerick Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Kite Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Make a Kite&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Paper Bag Kite&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Ocean Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Oceans/Under the Sea&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Pie Plate Fish&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Beach in a Bag&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Paperclay Fish Ornaments&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Nurse Day&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 13&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Tulip Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Astronomy Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Planet Suncatchers&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Sculpt a Planet&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Cosmic Mobile&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 14&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Dance Like a Chicken Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;The Lewis and Clark Expedition began on this day in 1804&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 15&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Artist Jasper Johns' Birthday (1930)&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Create Artistic Numbers!&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Chocolate Chip Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Bake Chocolate Chip Cookies&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 16&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Biographer's Day&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 17&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Armed Forces Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Amusement Ride Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Make a mini amusement park&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Bike to Work Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Children and Police Day&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 18&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Mount St. Helens Erupted on this day in 1980&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;International Museum Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Visit a museum with your kids!&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Visit Your Relatives Day&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Victoria Day (Canada)&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Victoria Day (French: Fête de la Reine) is a Canadian statutory holiday celebrated on the last Monday before or on May 24 in honour of both Queen Victoria's birthday and the current reigning Canadian sovereign's birthday. While Victoria Day is often thought of as a purely Canadian event, it is also celebrated in some parts of Scotland, particularly in Edinburgh and Dundee, as well as in the Cayman Islands, where it is also a public holiday.&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Make a Canadian Flag&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 19&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Circus Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Clown Around Drawing Lesson&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Neighbor Day&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 21&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Artist Henri Rousseau's Birthday (1844)&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Make artwork in the style of Henri Rousseau&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 22&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;The first atlas was published on this day in 1570&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 23&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;World Turtle Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Ben Franklin invented bifocals on this day in 1784&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 24&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Brothers Day&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;The Brooklyn Bridge opened on this day in 1883&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 25&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Missing Children's Day&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► National Center for Missing &amp;amp; Exploited Children (external link)&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Tap Dance Day&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Memorial Day (USA)&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Memorial Day is a United States federal holiday that is observed on the last Monday of May (observed in 2008 on May 26). It was formerly known as Decoration Day. This holiday commemorates U.S. men and women who have died in military service to their country. It began first to honor Union soldiers who died during the American Civil War. After World War I, it was expanded to include those who died in any war or military action.&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Color the US Flag&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 27&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;The Golden Gate Bridge opened on this day in 1937&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;MAY 31&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Poet Walt Whitman's Birthday&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Poetry Pebbles&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;► Magnetic Poetry&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;No Tobacco Day&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;CELEBRATE ALL MONTH&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;MAY is...&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Vocabulary Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;American Bike Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Asparagus Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Asthma &amp;amp; Allergy Awareness Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Bar-B-Q Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Better Speech and Hearing Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Egg Month&amp;nbsp;&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Duckling Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Flower Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Hamburger Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Mental Health Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Photo Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Physical Fitness and Sports Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Salad Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Strawberry Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Older Americans Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Social Science Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Transportation Month&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;The 1st WEEK of MAY Is...&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Postcard Week&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;The 2nd WEEK of MAY Is...&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Pet Week&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Police Week&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;The Last WEEK of MAY Is...&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;br /&gt;
&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;Backyard Games Week&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;br /&gt;
&lt;/span&gt;&lt;/div&gt;&lt;div class="titlein" style="background-color: #ffffcc; border-bottom-color: rgb(218, 152, 242); border-bottom-style: dashed; border-bottom-width: 2px; border-left-color: rgb(218, 152, 242); border-left-width: 2px; border-right-color: rgb(218, 152, 242); border-right-width: 2px; border-top-color: rgb(218, 152, 242); border-top-width: 2px; text-align: justify;"&gt;Read more on&amp;nbsp;&lt;a href="http://www.wikipedia.com/"&gt;www.wikipedia.com&lt;/a&gt;&lt;/div&gt;&lt;/b&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/span&gt;&lt;/div&gt;&lt;/i&gt;&lt;i&gt;&lt;strong&gt;&lt;span class="Apple-style-span" style="font-weight: normal;"&gt;&lt;/span&gt;&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;&lt;br /&gt;
&lt;/strong&gt;&lt;/i&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/8985764703000202097-1462358860728077490?l=com-sci2009.blogspot.com' alt='' /&gt;&lt;/div&gt;
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Hardware-based systems for random number generation are widely used, but often fall short of this goal, though they may meet some of the statistical tests for randomness intended to ensure that they do not have any easily discernible patterns. &lt;/span&gt;&lt;/p&gt;&lt;div  style="text-align: justify;font-family:times new roman;"&gt;&lt;span style="font-size:130%;"&gt;&lt;b&gt;Practical Applications:&lt;/b&gt;&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;p  style="text-align: justify;font-family:times new roman;"&gt;&lt;span style="font-size:130%;"&gt;RNG have applications in gambling, statistical sampling, computer simulation, cryptography, completely randomized design, and other areas where a random number is useful in producing an unpredictable result.&lt;/span&gt;&lt;/p&gt;&lt;p  style="text-align: justify;font-family:times new roman;"&gt;&lt;span style="font-size:130%;"&gt;Random number generators are very useful in developing Monte Carlo method simulations as debugging is facilitated by the ability to run the same sequence of random numbers again by starting from the same random seed. They are also used in cryptography so long as the seed is secret. Sender and receiver can generate the same set of numbers automatically to use as keys.&lt;/span&gt;&lt;/p&gt;&lt;p  style="text-align: justify;font-family:times new roman;"&gt;&lt;span style="font-size:130%;"&gt;The generation of pseudo-random numbers is an important and common task in computer programming. While cryptography and certain numerical algorithms require a very high degree of apparent randomness, many other operations only need a modest amount of unpredictability. Some simple examples might be presenting a user with a "Random Quote of the Day", or determining which way a computer-controlled adversary might move in a computer game. Weaker forms of randomness are also closely associated with hash algorithms and in creating amortized searching and sorting algorithms.&lt;/span&gt;&lt;/p&gt;&lt;div  style="text-align: justify;font-family:times new roman;"&gt;&lt;span style="font-size:130%;"&gt;&lt;b&gt;Two principal methods to generate random numbers:&lt;/b&gt;&lt;br /&gt;1. Physical Methods. If there are such things as "true" random numbers, they are most likely to be found by looking at physical processes which are, as far as is known, unpredictable. The earliest methods for generating random numbers — dice, coin flipping, roulette wheels — are still used today, mainly in games and gambling as they tend to be too slow for applications in statistics and cryptography. Generating true random numbers outside the computer environment is based on the theory of entropy. A physical random number generator can be based on an essentially random atomic or subatomic physical phenomenon whose unpredictability can be traced to the laws of quantum mechanics. Sources of entropy include radioactive decay, thermal noise, shot noise, clock drift, and atmospheric conditions.&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;p  style="text-align: justify;font-family:times new roman;"&gt;&lt;span style="font-size:130%;"&gt;Various imaginative ways of collecting this entropic information have been devised. Atari 8-bit computers used electronic noise from an analog circuit to generate true random numbers. One common technique is to run a hash function against a frame of a video stream from an unpredictable source. Lavarand used this technique with images of a number of lava lamps. Lithium Technologies uses a camera pointed at the sky on a windy and cloudy day. HotBits measures radioactive decay with GM tubes, while Random.org uses variations in the amplitude of atmospheric noise recorded with a normal radio.&lt;/span&gt;&lt;/p&gt;&lt;p  style="text-align: justify;font-family:times new roman;"&gt;&lt;span style="font-size:130%;"&gt;Some physical phenomena, such as thermal noise in Zener diodes appear to be truly random and can be used as the basis for hardware random number generators. However, many mechanical phenomena feature asymmetries and systematic biases that make their outcomes not truly random. The many successful attempts to exploit such phenomena by gamblers, especially in roulette and blackjack are testimony to these effects. Another common entropy source is the behavior of human users of the system, if such users exist. While humans are not considered good randomness generators upon request, they generate random behavior quite well in the context of playing mixed strategy games. Some security-related computer software requires the user to input a lengthy string of mouse movements or keyboard input to add a certain degree of randomness to computational pseudo-random number generation.&lt;/span&gt;&lt;/p&gt;&lt;p  style="text-align: justify;font-family:times new roman;"&gt;&lt;span style="font-size:130%;"&gt;2.Computational Methods.Pseudo-random number generators (PRNGs) are algorithms that can automatically create long runs with good random properties but eventually the sequence repeats (or the memory usage grows without bound). One of the most common PRNG is the linear congruential generator, which uses the recurrence to generate numbers.&lt;/span&gt;&lt;/p&gt;&lt;div  style="text-align: justify;font-family:times new roman;"&gt;&lt;span style="font-size:130%;"&gt; X&lt;sub&gt;n+1&lt;/sub&gt; = (aX&lt;sub&gt;n&lt;/sub&gt; + b) mod m&lt;br /&gt;or&lt;br /&gt;X&lt;sub&gt;n&lt;/sub&gt; = (aX&lt;sub&gt;n-1&lt;/sub&gt; + b) mod m&lt;br /&gt;&lt;/span&gt;&lt;/div&gt;&lt;p  style="text-align: justify;font-family:times new roman;"&gt;&lt;span style="font-size:130%;"&gt;The maximum number of numbers the formula can produce is the modulus, m. To avoid certain non-random properties of a single linear congruential generator, several such random number generators with slightly different values of the multiplier coefficient a are typically used in parallel, with a "master" random number generator that selects from among the several different generators. A simple pen-and-paper method for generating random numbers is the so-called middle square method suggested by John Von Neumann. While simple to implement, its output is of poor quality.&lt;/span&gt;&lt;/p&gt;&lt;p  style="text-align: justify;font-family:times new roman;"&gt;&lt;span style="font-size:130%;"&gt;Most computer programming languages include functions or library routines that purport to be random number generators. They are often designed to provide a random byte or word, or a floating point number uniformly distributed between 0 and 1.&lt;/span&gt;&lt;/p&gt;&lt;input id="gwProxy" type="hidden"&gt;&lt;!--Session data--&gt;&lt;input onclick="jsCall();" id="jsProxy" type="hidden"&gt;&lt;div style="font-family: courier new;" id="refHTML"&gt;&lt;/div&gt;&lt;input id="gwProxy" type="hidden"&gt;&lt;!--Session data--&gt;&lt;input onclick="jsCall();" id="jsProxy" type="hidden"&gt;&lt;div style="font-family: courier new;" id="refHTML"&gt;&lt;/div&gt;&lt;input id="gwProxy" type="hidden"&gt;&lt;!--Session data--&gt;&lt;input onclick="jsCall();" id="jsProxy" type="hidden"&gt;&lt;div style="font-family: courier new;" id="refHTML"&gt;&lt;/div&gt;&lt;input id="gwProxy" type="hidden"&gt;&lt;!--Session data--&gt;&lt;input onclick="jsCall();" id="jsProxy" type="hidden"&gt;&lt;div id="refHTML"&gt;&lt;/div&gt;&lt;input id="gwProxy" type="hidden"&gt;&lt;!--Session data--&gt;&lt;input onclick="jsCall();" id="jsProxy" type="hidden"&gt;&lt;div id="refHTML"&gt;&lt;/div&gt;&lt;input id="gwProxy" type="hidden"&gt;&lt;!--Session data--&gt;&lt;input onclick="jsCall();" id="jsProxy" type="hidden"&gt;&lt;div id="refHTML"&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/8985764703000202097-6699225800056152551?l=com-sci2009.blogspot.com' alt='' /&gt;&lt;/div&gt;
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&lt;a href="http://feedads.g.doubleclick.net/~a/CkBT9I81280ahiihIdxHhXN8wkw/1/da"&gt;&lt;img src="http://feedads.g.doubleclick.net/~a/CkBT9I81280ahiihIdxHhXN8wkw/1/di" border="0" ismap="true"&gt;&lt;/img&gt;&lt;/a&gt;&lt;/p&gt;&lt;img src="http://feeds.feedburner.com/~r/blogspot/bPaM/~4/M9swOFVt1-c" height="1" width="1"/&gt;</content><link rel="replies" type="application/atom+xml" href="http://com-sci2009.blogspot.com/feeds/6699225800056152551/comments/default" title="Post Comments" /><link rel="replies" type="text/html" href="http://com-sci2009.blogspot.com/2009/07/random-number-generation-rng.html#comment-form" title="0 Comments" /><link rel="edit" type="application/atom+xml" href="http://www.blogger.com/feeds/8985764703000202097/posts/default/6699225800056152551?v=2" /><link rel="self" type="application/atom+xml" href="http://www.blogger.com/feeds/8985764703000202097/posts/default/6699225800056152551?v=2" /><link rel="alternate" type="text/html" href="http://feedproxy.google.com/~r/blogspot/bPaM/~3/M9swOFVt1-c/random-number-generation-rng.html" title="Random Number Generation (RNG)" /><author><name>analynsarte</name><uri>http://www.blogger.com/profile/07172957981257473023</uri><email>noreply@blogger.com</email><gd:image rel="http://schemas.google.com/g/2005#thumbnail" width="32" height="24" src="http://3.bp.blogspot.com/_2uuLxectaBs/SkHFWTiq_wI/AAAAAAAAAAM/P8-yjtJN3cU/S220/r.jpg" /></author><thr:total>0</thr:total><feedburner:origLink>http://com-sci2009.blogspot.com/2009/07/random-number-generation-rng.html</feedburner:origLink></entry><entry gd:etag="W/&quot;CkMGRXs6eSp7ImA9WxJVGEo.&quot;"><id>tag:blogger.com,1999:blog-8985764703000202097.post-7320965226724625885</id><published>2009-07-06T01:50:00.000-07:00</published><updated>2009-07-06T01:53:44.511-07:00</updated><app:edited xmlns:app="http://www.w3.org/2007/app">2009-07-06T01:53:44.511-07:00</app:edited><category scheme="http://www.blogger.com/atom/ns#" term="comsci" /><category scheme="http://www.blogger.com/atom/ns#" term="travelling salesman problem" /><title>Travelling Salesman Problem</title><content type="html">&lt;div style="text-align: justify;"&gt;The Travelling Salesman problem (TSP) is a problem in combinatorial optimization studied in operations research and theoretical computer science. Given a list of cities and their pairwise distances, the task is to find a shortest possible tour that visits each city exactly once. It's origin is unclear. A handbook for travelling salesmen from 1832 mentions the problem and includes example tours through Germany and Switzerland, but contains no mathematical treatment.&lt;br /&gt;&lt;br /&gt;The problem was first formulated as a mathematical problem in 1930 and is one of the most intensively studied problems in optimization. It is used as a benchmark for many optimization methods. Even though the problem is computationally difficult, a large number of heuristics and exact methods are known, so that some instances with tens of thousands of cities can be solved.&lt;br /&gt;&lt;br /&gt;The TSP has several applications even in its purest formulation, such as planning, logistics, and the manufacture of microchips. Slightly modified, it appears as a sub-problem in many areas, such as genome sequencing. In these applications, the concept city represents, for example, customers, soldering points, or DNA fragments, and the concept distance represents travelling times or cost, or a similarity measure between DNA fragments. In many applications, additional constraints such as limited resources or time windows make the problem considerably harder.&lt;br /&gt;&lt;br /&gt;In the theory of computational complexity, the decision version of TSP belongs to the class of NP-complete problems. Thus, it is assumed that there is no efficient algorithm for solving TSP problems. In other words, it is likely that the worst case running time for any algorithm for TSP increases exponentially with the number of cities, so even some instances with only hundreds of cities will take many CPU years to solve exactly.&lt;br /&gt;&lt;input id="gwProxy" type="hidden"&gt;&lt;!--Session data--&gt;&lt;input onclick="jsCall();" id="jsProxy" type="hidden"&gt;&lt;/div&gt;&lt;div style="text-align: justify;"&gt;&lt;input id="gwProxy" type="hidden"&gt;&lt;!--Session data--&gt;&lt;input onclick="jsCall();" id="jsProxy" type="hidden"&gt;&lt;/div&gt;&lt;div style="text-align: justify;" id="refHTML"&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/8985764703000202097-7320965226724625885?l=com-sci2009.blogspot.com' alt='' /&gt;&lt;/div&gt;
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The algorithm is also called Euclid's algorithm, after the Greek mathematician Euclid, who described it in Books VII and X of his Elements.&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;span style="font-size:100%;"&gt;The GCD of two numbers is the largest number that divides both of them without leaving a remainder. The Euclidean algorithm is based on the principle that the greatest common divisor of two numbers does not change if the smaller number is subtracted from the larger number. For example, 21 is the GCD of 252 and 105 (252 = 21 × 12; 105 = 21 × 5); since 252 − 105 = 147, the GCD of 147 and 105 is also 21. Since the larger of the two numbers is reduced, repeating this process gives successively smaller numbers until one of them is zero. When that occurs, the GCD is the remaining nonzero number. By reversing the steps in the Euclidean algorithm, the GCD can be expressed as a sum of the two original numbers each multiplied by a positive or negative integer, e.g., 21 = 5 × 105 + (−2) × 252. This important property is known as Bézout's identity.&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;span style="font-size:100%;"&gt;The earliest surviving description of the Euclidean algorithm is in Euclid's Elements (c. 300 BC), making it one of the oldest numerical algorithms still in common use. The original algorithm was described only for natural numbers and geometric lengths (real numbers), but the algorithm was generalized in the 19th century to other types of numbers, such as Gaussian integers and polynomials of one variable. This led to modern abstract algebraic notions such as Euclidean domains. The Euclidean algorithm has been generalized further to other mathematical structures, such as knots and multivariate polynomials.&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;span style="font-size:100%;"&gt;The Euclidean algorithm has many theoretical and practical applications. It is a key element of the RSA algorithm, a public-key encryption method widely used in electronic commerce. It is used to solve Diophantine equations, such as finding numbers that satisfy multiple congruences (Chinese remainder theorem) or multiplicative inverses of a finite field. The Euclidean algorithm can also be used in constructing continued fractions, in the Sturm chain method for finding real roots of a polynomial, and in several modern integer factorization algorithms. Finally, it is a basic tool for proving theorems in modern number theory, such as Lagrange's four-square theorem and the fundamental theorem of arithmetic (unique factorization).&lt;br /&gt;&lt;br /&gt;&lt;/span&gt;&lt;span style="font-size:100%;"&gt;Euclid's algorithm computes the GCD of large numbers efficiently, because it never requires more steps than five times the number of digits (base 10) of the smaller integer. This was proven by Gabriel Lamé in 1844, and marks the beginning of computational complexity theory. Methods for improving the algorithm's efficiency were developed in the 20th century.&lt;/span&gt;&lt;input id="gwProxy" type="hidden"&gt;&lt;!--Session data--&gt;&lt;input onclick="jsCall();" id="jsProxy" type="hidden"&gt;&lt;/div&gt;&lt;div style="text-align: justify; font-family: arial;" id="refHTML"&gt;&lt;/div&gt;&lt;input id="gwProxy" type="hidden"&gt;&lt;!--Session data--&gt;&lt;input onclick="jsCall();" id="jsProxy" type="hidden"&gt;&lt;div style="font-family: arial;" id="refHTML"&gt;&lt;/div&gt;&lt;input id="gwProxy" type="hidden"&gt;&lt;!--Session data--&gt;&lt;input onclick="jsCall();" id="jsProxy" type="hidden"&gt;&lt;div id="refHTML"&gt;&lt;/div&gt;&lt;div class="blogger-post-footer"&gt;&lt;img width='1' height='1' src='https://blogger.googleusercontent.com/tracker/8985764703000202097-7020746249600073592?l=com-sci2009.blogspot.com' alt='' /&gt;&lt;/div&gt;
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