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	<title>Zero Wind - Jamie Wong &#187; c++</title>
	<atom:link href="http://jamie-wong.com/tag/c/feed/" rel="self" type="application/rss+xml" />
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	<description>Inside the mind of a Waterloo Software Engineering student</description>
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		<title>Google Codejam 2010 Solutions &#8211; Qualification</title>
		<link>http://jamie-wong.com/2010/05/11/google-codejam-2010-solutions-qualification-round/</link>
		<comments>http://jamie-wong.com/2010/05/11/google-codejam-2010-solutions-qualification-round/#comments</comments>
		<pubDate>Wed, 12 May 2010 01:02:46 +0000</pubDate>
		<dc:creator>Jamie Wong</dc:creator>
				<category><![CDATA[Code Jam]]></category>
		<category><![CDATA[c++]]></category>
		<category><![CDATA[codejam]]></category>
		<category><![CDATA[google]]></category>
		<category><![CDATA[solutions]]></category>

		<guid isPermaLink="false">http://jamie-wong.com/?p=212</guid>
		<description><![CDATA[I'm happy to have qualified for Codejam for the second year running - I managed to make it to Online Round 2 last year, so let's see if I can top that this year. The opening round was not very difficult, and were it not for a very stupid mistake on my part on the [...]]]></description>
			<content:encoded><![CDATA[<p>I'm happy to have qualified for Codejam for the second year running - I managed to make it to Online Round 2 last year, so let's see if I can top that this year.</p>

<p>The opening round was not very difficult, and were it not for a very stupid mistake on my part on the first question, I easily could have gotten perfect in under 2.5 hours. Instead I got 76 in 3.5 hours. Bah.</p>

<p>Read the questions here: <a href="http://code.google.com/codejam/contest/dashboard?c=433101#">Qualification Round 2010 @ code.google.com</a></p>

<h1>Problem 1: Snapper Chain</h1>

<p>This is the one I screwed up, because I somehow overlooked the fact that each snap was simply equivalent to an binary increment of the snappers states. Instead, I did a foolish simulation, which did actually pass me the small test case. But anyway, the real solution is O(1).</p>

<p>For interest, here's what the snapper chain looks like in the first 30 iterations. The left side, labeled "P:" shows which of the snappers are powered, and the right side, labeled "S:" shows the current state of the snappers, with "#" being ON and "." being OFF in both cases. I did this so it would be easier to see the pattern. The first row is the initial set up, before any snaps.</p>


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</pre></td><td class="code" id="p212code8"><pre class="txt" style="font-family:monospace;">P: #.........	S: ..........
P: ##........	S: #.........
P: #.........	S: .#........
P: ###.......	S: ##........
P: #.........	S: ..#.......
P: ##........	S: #.#.......
P: #.........	S: .##.......
P: ####......	S: ###.......
P: #.........	S: ...#......
P: ##........	S: #..#......
P: #.........	S: .#.#......
P: ###.......	S: ##.#......
P: #.........	S: ..##......
P: ##........	S: #.##......
P: #.........	S: .###......
P: #####.....	S: ####......
P: #.........	S: ....#.....
P: ##........	S: #...#.....
P: #.........	S: .#..#.....
P: ###.......	S: ##..#.....
P: #.........	S: ..#.#.....
P: ##........	S: #.#.#.....
P: #.........	S: .##.#.....
P: ####......	S: ###.#.....
P: #.........	S: ...##.....
P: ##........	S: #..##.....
P: #.........	S: .#.##.....
P: ###.......	S: ##.##.....
P: #.........	S: ..###.....
P: ##........	S: #.###.....</pre></td></tr></table></div>


<p>What we're interested in is how to tell where a specific snapper is on. It turns out that this is quite simple - so long as all snappers before it are on the ON settings, it will be powered. This means that ultimately, the power column above is irrelevant. All we need to know is that the N-1 least significant bits are set. This is fairly trivial to check.</p>


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</pre></td><td class="code" id="p212code9"><pre class="cpp" style="font-family:monospace;"><span style="color: #339900;">#include &lt;iostream&gt;</span>
<span style="color: #0000ff;">using</span> <span style="color: #0000ff;">namespace</span> std<span style="color: #008080;">;</span>
<span style="color: #0000ff;">int</span> main<span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
	<span style="color: #0000ff;">int</span> T,N,K<span style="color: #008080;">;</span>
	<span style="color: #0000dd;">cin</span> <span style="color: #000080;">&gt;&gt;</span> T<span style="color: #008080;">;</span>
	<span style="color: #0000ff;">for</span><span style="color: #008000;">&#40;</span><span style="color: #0000ff;">int</span> t <span style="color: #000080;">=</span> <span style="color: #0000dd;">0</span><span style="color: #008080;">;</span> t <span style="color: #000080;">&lt;</span> T<span style="color: #008080;">;</span> t<span style="color: #000040;">++</span><span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
		<span style="color: #0000dd;">cin</span> <span style="color: #000080;">&gt;&gt;</span> N <span style="color: #000080;">&gt;&gt;</span> K<span style="color: #008080;">;</span>
		<span style="color: #0000ff;">int</span> mask <span style="color: #000080;">=</span> <span style="color: #008000;">&#40;</span>1 <span style="color: #000080;">&lt;&lt;</span> N<span style="color: #008000;">&#41;</span> <span style="color: #000040;">-</span> <span style="color: #0000dd;">1</span><span style="color: #008080;">;</span>
		<span style="color: #0000dd;">printf</span><span style="color: #008000;">&#40;</span><span style="color: #FF0000;">&quot;Case #%d: &quot;</span>,t<span style="color: #000040;">+</span>1<span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
		<span style="color: #0000ff;">if</span> <span style="color: #008000;">&#40;</span> <span style="color: #008000;">&#40;</span>mask <span style="color: #000040;">&amp;</span> K<span style="color: #008000;">&#41;</span> <span style="color: #000080;">==</span> mask<span style="color: #008000;">&#41;</span> <span style="color: #0000dd;">puts</span><span style="color: #008000;">&#40;</span><span style="color: #FF0000;">&quot;ON&quot;</span><span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
		<span style="color: #0000ff;">else</span> <span style="color: #0000dd;">puts</span><span style="color: #008000;">&#40;</span><span style="color: #FF0000;">&quot;OFF&quot;</span><span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
	<span style="color: #008000;">&#125;</span>
	<span style="color: #0000ff;">return</span> <span style="color: #0000dd;">0</span><span style="color: #008080;">;</span>
<span style="color: #008000;">&#125;</span></pre></td></tr></table></div>


<p>Time for the large case:</p>


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</pre></td><td class="code" id="p212code10"><pre class="txt" style="font-family:monospace;">  [google]  time ./a.out &lt; snapper.in &gt; snapper.out
&nbsp;
real    0m0.071s
user    0m0.026s
sys     0m0.040s</pre></td></tr></table></div>


<h1>Problem 2: Fair Warning</h1>

<p>This problem took me about 40 minutes to think of the solution for and about 5 minutes to code. Honour's Algebra (MATH 115) came in handy here. You can first calculate T (the optimal anniversary) by looking at the gcd (greatest common divisor) of the differences between the time elapsed since the events. This works because in order for T to divide the time elapsed since the events, it must also divide the time elapsed between the events. After that, you just need to find the first y that makes any of the numbers divisible by T. I just wrote out the congruences on my whiteboard (which I probably shouldn't have needed to do) then typed in my answer.</p>

<p>The only remaining problem here is dealing with the large numbers, which is hardly a problem in python. Here's my solution:</p>


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</pre></td><td class="code" id="p212code11"><pre class="python" style="font-family:monospace;"><span style="color: #ff7700;font-weight:bold;">def</span> gcd<span style="color: black;">&#40;</span>x,y<span style="color: black;">&#41;</span>:
    <span style="color: #ff7700;font-weight:bold;">while</span> x:
        x, y = y <span style="color: #66cc66;">%</span> x, x
    <span style="color: #ff7700;font-weight:bold;">return</span> y
&nbsp;
testcases = <span style="color: #008000;">open</span><span style="color: black;">&#40;</span><span style="color: #483d8b;">&quot;warning.in&quot;</span><span style="color: black;">&#41;</span>.<span style="color: black;">readlines</span><span style="color: black;">&#40;</span><span style="color: black;">&#41;</span>
t = 1
<span style="color: #ff7700;font-weight:bold;">for</span> tc <span style="color: #ff7700;font-weight:bold;">in</span> testcases<span style="color: black;">&#91;</span>1:<span style="color: black;">&#93;</span>:
	tc = <span style="color: #008000;">map</span><span style="color: black;">&#40;</span><span style="color: #ff7700;font-weight:bold;">lambda</span> x: <span style="color: #008000;">int</span><span style="color: black;">&#40;</span>x<span style="color: black;">&#41;</span>, tc.<span style="color: black;">split</span><span style="color: black;">&#40;</span><span style="color: #483d8b;">&quot; &quot;</span><span style="color: black;">&#41;</span><span style="color: black;">&#91;</span>1:<span style="color: black;">&#93;</span><span style="color: black;">&#41;</span>
	<span style="color: #ff7700;font-weight:bold;">if</span> <span style="color: #008000;">len</span><span style="color: black;">&#40;</span>tc<span style="color: black;">&#41;</span> == 0:
		<span style="color: #ff7700;font-weight:bold;">break</span>
	tc.<span style="color: black;">sort</span><span style="color: black;">&#40;</span><span style="color: black;">&#41;</span>
	<span style="color: #808080; font-style: italic;">#print tc</span>
&nbsp;
	diff = <span style="color: black;">&#91;</span><span style="color: black;">&#93;</span>
	<span style="color: #ff7700;font-weight:bold;">for</span> i <span style="color: #ff7700;font-weight:bold;">in</span> <span style="color: #008000;">range</span><span style="color: black;">&#40;</span><span style="color: #008000;">len</span><span style="color: black;">&#40;</span>tc<span style="color: black;">&#41;</span>-1<span style="color: black;">&#41;</span>:
		diff += <span style="color: black;">&#91;</span>tc<span style="color: black;">&#91;</span>i+1<span style="color: black;">&#93;</span> - tc<span style="color: black;">&#91;</span>i<span style="color: black;">&#93;</span><span style="color: black;">&#93;</span>
&nbsp;
	T = diff<span style="color: black;">&#91;</span>0<span style="color: black;">&#93;</span>
	<span style="color: #ff7700;font-weight:bold;">for</span> d <span style="color: #ff7700;font-weight:bold;">in</span> diff<span style="color: black;">&#91;</span><span style="color: #ff4500;">1</span>:<span style="color: black;">&#93;</span>:
		T = gcd<span style="color: black;">&#40;</span>T,d<span style="color: black;">&#41;</span>
&nbsp;
	<span style="color: #808080; font-style: italic;">#print T</span>
	<span style="color: #ff7700;font-weight:bold;">print</span> <span style="color: #483d8b;">&quot;Case #%d: %d&quot;</span> <span style="color: #66cc66;">%</span> <span style="color: black;">&#40;</span>t, <span style="color: black;">&#40;</span>-tc<span style="color: black;">&#91;</span><span style="color: #ff4500;">0</span><span style="color: black;">&#93;</span> <span style="color: #66cc66;">%</span> T<span style="color: black;">&#41;</span><span style="color: black;">&#41;</span>
&nbsp;
	t += <span style="color: #ff4500;">1</span></pre></td></tr></table></div>


<p>Time for large case:</p>


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</pre></td><td class="code" id="p212code12"><pre class="txt" style="font-family:monospace;">  [google]  time python warning.py &gt; warning.out
&nbsp;
real    0m0.250s
user    0m0.037s
sys     0m0.021s</pre></td></tr></table></div>


<h1>Problem 3: Theme Park</h1>

<p>This is an optimization problem. There are a lot of different optimizations you can apply, but I figured "to hell with it" and decided the solution getting it down to O(R) was probably sufficient. If you want to look at a better list of optimizations, go look here: <a href="http://code.google.com/codejam/contest/dashboard?c=433101#s=a&#038;a=2">Google Codejam 2010 Qualification Round Contest Analysis</a>.</p>

<p>All I figured I needed to do was make it so I didn't have to find the groups every single time the ride was loaded. To do this, I simulated using queue until I arrived at a position where the group at the front of the line had been at the front before. While doing this, I record how many euros were made for a given start of the line, and who ends up at the front of the line while they're on the roller coaster. After this, the O(R) loop is very simple. Just add the number of euros for the run, then move on to the next front of the line.</p>


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</pre></td><td class="code" id="p212code13"><pre class="cpp" style="font-family:monospace;"><span style="color: #339900;">#include &lt;cmath&gt;</span>
<span style="color: #339900;">#include &lt;algorithm&gt;</span>
<span style="color: #339900;">#include &lt;iostream&gt;</span>
<span style="color: #339900;">#include &lt;fstream&gt;</span>
<span style="color: #339900;">#include &lt;cstdio&gt;</span>
<span style="color: #339900;">#include &lt;cstdlib&gt;</span>
<span style="color: #339900;">#include &lt;cstring&gt;</span>
<span style="color: #339900;">#include &lt;queue&gt;</span>
<span style="color: #339900;">#include &lt;set&gt;</span>
<span style="color: #339900;">#include &lt;map&gt;</span>
<span style="color: #339900;">#include &lt;sstream&gt;</span>
<span style="color: #339900;">#include &lt;vector&gt;</span>
<span style="color: #0000ff;">using</span> <span style="color: #0000ff;">namespace</span> std<span style="color: #008080;">;</span>
&nbsp;
<span style="color: #339900;">#define FR(i,a,b) for(int i=(a);i&lt;(b);++i)</span>
<span style="color: #339900;">#define FOR(i,n) FR(i,0,n)</span>
<span style="color: #339900;">#define SETMIN(a,b) a = min(a,b)</span>
<span style="color: #339900;">#define SETMAX(a,b) a = max(a,b)</span>
<span style="color: #339900;">#define PB push_back</span>
<span style="color: #339900;">#define FORALL(i,v) for(typeof((v).end())i=(v).begin();i!=(v).end();++i)</span>
<span style="color: #339900;">#define CLR(x,a) memset(x,a,sizeof(x))</span>
<span style="color: #339900;">#define BEND(v) v.begin(),v.end()</span>
<span style="color: #339900;">#define MP make_pair</span>
<span style="color: #339900;">#define A first</span>
<span style="color: #339900;">#define B second</span>
&nbsp;
<span style="color: #0000ff;">typedef</span> <span style="color: #0000ff;">unsigned</span> <span style="color: #0000ff;">long</span> <span style="color: #0000ff;">long</span> <span style="color: #0000ff;">int</span> ull<span style="color: #008080;">;</span>
<span style="color: #0000ff;">typedef</span> <span style="color: #0000ff;">long</span> <span style="color: #0000ff;">double</span> ld<span style="color: #008080;">;</span>
&nbsp;
<span style="color: #0000ff;">int</span> main<span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
    <span style="color: #0000dd;">freopen</span><span style="color: #008000;">&#40;</span><span style="color: #FF0000;">&quot;themepark.in&quot;</span>,<span style="color: #FF0000;">&quot;r&quot;</span>,<span style="color: #0000ff;">stdin</span><span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
    <span style="color: #0000dd;">freopen</span><span style="color: #008000;">&#40;</span><span style="color: #FF0000;">&quot;themepark.out&quot;</span>,<span style="color: #FF0000;">&quot;w&quot;</span>,<span style="color: #0000ff;">stdout</span><span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
&nbsp;
    <span style="color: #0000ff;">int</span> T<span style="color: #008080;">;</span>
    <span style="color: #0000dd;">cin</span> <span style="color: #000080;">&gt;&gt;</span> T<span style="color: #008080;">;</span>
    FOR<span style="color: #008000;">&#40;</span>t,T<span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
        <span style="color: #0000ff;">int</span> R,k,N<span style="color: #008080;">;</span>
        <span style="color: #0000dd;">cin</span> <span style="color: #000080;">&gt;&gt;</span> R <span style="color: #000080;">&gt;&gt;</span> k <span style="color: #000080;">&gt;&gt;</span> N<span style="color: #008080;">;</span>
        <span style="color: #0000ff;">int</span> grps<span style="color: #008000;">&#91;</span>1001<span style="color: #008000;">&#93;</span>, done<span style="color: #008000;">&#91;</span>1001<span style="color: #008000;">&#93;</span>, pts<span style="color: #008000;">&#91;</span>1001<span style="color: #008000;">&#93;</span>, next<span style="color: #008000;">&#91;</span>1001<span style="color: #008000;">&#93;</span><span style="color: #008080;">;</span>
        CLR<span style="color: #008000;">&#40;</span>done,0<span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
        queue<span style="color: #000080;">&lt;</span>pair<span style="color: #000080;">&lt;</span><span style="color: #0000ff;">int</span>,<span style="color: #0000ff;">int</span><span style="color: #000080;">&gt;</span> <span style="color: #000080;">&gt;</span> q<span style="color: #008080;">;</span>
        FOR<span style="color: #008000;">&#40;</span>i,N<span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
            <span style="color: #0000dd;">cin</span> <span style="color: #000080;">&gt;&gt;</span> grps<span style="color: #008000;">&#91;</span>i<span style="color: #008000;">&#93;</span><span style="color: #008080;">;</span>
            q.<span style="color: #007788;">push</span><span style="color: #008000;">&#40;</span>MP<span style="color: #008000;">&#40;</span>i,grps<span style="color: #008000;">&#91;</span>i<span style="color: #008000;">&#93;</span><span style="color: #008000;">&#41;</span><span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
        <span style="color: #008000;">&#125;</span>
&nbsp;
        <span style="color: #0000ff;">while</span><span style="color: #008000;">&#40;</span><span style="color: #000040;">!</span>done<span style="color: #008000;">&#91;</span>q.<span style="color: #007788;">front</span><span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span>.<span style="color: #007788;">A</span><span style="color: #008000;">&#93;</span><span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
            <span style="color: #0000ff;">int</span> cur <span style="color: #000080;">=</span> <span style="color: #0000dd;">0</span><span style="color: #008080;">;</span>
            <span style="color: #0000ff;">int</span> start <span style="color: #000080;">=</span> q.<span style="color: #007788;">front</span><span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span>.<span style="color: #007788;">A</span><span style="color: #008080;">;</span>
            done<span style="color: #008000;">&#91;</span>start<span style="color: #008000;">&#93;</span> <span style="color: #000080;">=</span> <span style="color: #0000dd;">1</span><span style="color: #008080;">;</span>
&nbsp;
            FOR<span style="color: #008000;">&#40;</span>i,N<span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
                <span style="color: #0000ff;">if</span> <span style="color: #008000;">&#40;</span>cur <span style="color: #000040;">+</span> q.<span style="color: #007788;">front</span><span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span>.<span style="color: #007788;">B</span> <span style="color: #000080;">&gt;</span> k<span style="color: #008000;">&#41;</span> <span style="color: #0000ff;">break</span><span style="color: #008080;">;</span>
&nbsp;
                cur <span style="color: #000040;">+</span><span style="color: #000080;">=</span> q.<span style="color: #007788;">front</span><span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span>.<span style="color: #007788;">B</span><span style="color: #008080;">;</span>
                q.<span style="color: #007788;">push</span><span style="color: #008000;">&#40;</span>q.<span style="color: #007788;">front</span><span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span><span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
                q.<span style="color: #007788;">pop</span><span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
            <span style="color: #008000;">&#125;</span>
            next<span style="color: #008000;">&#91;</span>start<span style="color: #008000;">&#93;</span> <span style="color: #000080;">=</span> q.<span style="color: #007788;">front</span><span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span>.<span style="color: #007788;">A</span><span style="color: #008080;">;</span>
            pts<span style="color: #008000;">&#91;</span>start<span style="color: #008000;">&#93;</span> <span style="color: #000080;">=</span> cur<span style="color: #008080;">;</span>
        <span style="color: #008000;">&#125;</span>
&nbsp;
        <span style="color: #0000ff;">while</span> <span style="color: #008000;">&#40;</span><span style="color: #000040;">!</span>q.<span style="color: #007788;">empty</span><span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span><span style="color: #008000;">&#41;</span> q.<span style="color: #007788;">pop</span><span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
&nbsp;
        <span style="color: #0000ff;">int</span> curFront <span style="color: #000080;">=</span> <span style="color: #0000dd;">0</span><span style="color: #008080;">;</span>
        ull ans <span style="color: #000080;">=</span> <span style="color: #0000dd;">0</span><span style="color: #008080;">;</span>
        FOR<span style="color: #008000;">&#40;</span>i,R<span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
            ans <span style="color: #000040;">+</span><span style="color: #000080;">=</span> pts<span style="color: #008000;">&#91;</span>curFront<span style="color: #008000;">&#93;</span><span style="color: #008080;">;</span>
            curFront <span style="color: #000080;">=</span> next<span style="color: #008000;">&#91;</span>curFront<span style="color: #008000;">&#93;</span><span style="color: #008080;">;</span>
        <span style="color: #008000;">&#125;</span>
&nbsp;
        <span style="color: #0000dd;">printf</span><span style="color: #008000;">&#40;</span><span style="color: #FF0000;">&quot;Case #%d: %lld<span style="color: #000099; font-weight: bold;">\n</span>&quot;</span>, t<span style="color: #000040;">+</span>1, ans<span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
    <span style="color: #008000;">&#125;</span>
    <span style="color: #0000ff;">return</span> <span style="color: #0000dd;">0</span><span style="color: #008080;">;</span>
<span style="color: #008000;">&#125;</span></pre></td></tr></table></div>


<p>Time for large test case:</p>


<div class="wp_codebox"><table style='width:99%;margin:0px;border:0;' ><tr id="p21214"><td class="line_numbers"><pre>1
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</pre></td><td class="code" id="p212code14"><pre class="txt" style="font-family:monospace;">  [google]  time ./a.out
&nbsp;
real    0m11.606s
user    0m11.542s
sys     0m0.022s</pre></td></tr></table></div>


<p>I might code up an O(N) solution later, which really isn't that difficult, but at this point in the contest, it simply didn't matter enough.</p>
]]></content:encoded>
			<wfw:commentRss>http://jamie-wong.com/2010/05/11/google-codejam-2010-solutions-qualification-round/feed/</wfw:commentRss>
		<slash:comments>1</slash:comments>
		</item>
		<item>
		<title>SPOJ Problem 2: Prime Generator (PRIME1)</title>
		<link>http://jamie-wong.com/2009/11/12/spoj-problem-2-prime-generator/</link>
		<comments>http://jamie-wong.com/2009/11/12/spoj-problem-2-prime-generator/#comments</comments>
		<pubDate>Fri, 13 Nov 2009 05:47:34 +0000</pubDate>
		<dc:creator>Jamie Wong</dc:creator>
				<category><![CDATA[SPOJ]]></category>
		<category><![CDATA[bash]]></category>
		<category><![CDATA[c++]]></category>
		<category><![CDATA[c99]]></category>
		<category><![CDATA[java]]></category>
		<category><![CDATA[pascal]]></category>
		<category><![CDATA[perl]]></category>
		<category><![CDATA[php]]></category>
		<category><![CDATA[prime]]></category>
		<category><![CDATA[python]]></category>
		<category><![CDATA[ruby]]></category>

		<guid isPermaLink="false">http://jamie-wong.com/me/?p=47</guid>
		<description><![CDATA[Problem: Prime Generator Peter wants to generate some prime numbers for his cryptosystem. Help him! Your task is to generate all prime numbers between two given numbers! Concept The idea behind every solution here (with some variation) is to generate all the prime numbers that could be factors of numbers up to the maximum endpoint [...]]]></description>
			<content:encoded><![CDATA[<p>Problem: <a href='https://www.spoj.pl/problems/PRIME1/'>Prime Generator</a></p>

<blockquote>
Peter wants to generate some prime numbers for his cryptosystem. Help him! Your task is to generate all prime numbers between two given numbers!
</blockquote>

<p><strong>Concept</strong>
The idea behind every solution here (with some variation) is to generate all the prime numbers that could be factors of numbers up to the maximum endpoint 1 billion. That square root happens to be around 32000. Using this array, do a bounded Sieve of Eratosthenes only in the range requested. In languages like php and python, it turns out that it's more efficient to build an associative array and check if the index is set than it is to generate a huge boolean array.</p>

<p><strong>Code</strong></p>

<p><strong>C++</strong></p>


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</pre></td><td class="code" id="p47code25"><pre class="cpp" style="font-family:monospace;"><span style="color: #666666;">/// PRIME1 - C++ (g++)</span>
<span style="color: #666666;">// AC Time: 2.52s</span>
<span style="color: #666666;">// NOTE: I am aware that the use of vector and set actually</span>
<span style="color: #666666;">//  makes this code run _slower_</span>
<span style="color: #666666;">// I used vector and set simply as a way of practicing STL</span>
<span style="color: #339900;">#include &lt;iostream&gt;</span>
<span style="color: #339900;">#include &lt;cmath&gt;</span>
<span style="color: #339900;">#include &lt;vector&gt;</span>
<span style="color: #339900;">#include &lt;set&gt;</span>
<span style="color: #0000ff;">using</span> <span style="color: #0000ff;">namespace</span> std<span style="color: #008080;">;</span>
&nbsp;
<span style="color: #0000ff;">int</span> main<span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
    vector<span style="color: #000080;">&lt;</span><span style="color: #0000ff;">int</span><span style="color: #000080;">&gt;</span> primes<span style="color: #008080;">;</span>
    primes.<span style="color: #007788;">push_back</span><span style="color: #008000;">&#40;</span>2<span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
&nbsp;
    <span style="color: #0000ff;">for</span> <span style="color: #008000;">&#40;</span><span style="color: #0000ff;">int</span> i <span style="color: #000080;">=</span> <span style="color: #0000dd;">3</span><span style="color: #008080;">;</span> i <span style="color: #000080;">&lt;=</span> <span style="color: #0000dd;">32000</span><span style="color: #008080;">;</span> i<span style="color: #000040;">+</span><span style="color: #000080;">=</span>2<span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
        <span style="color: #0000ff;">bool</span> isprime <span style="color: #000080;">=</span> <span style="color: #0000ff;">true</span><span style="color: #008080;">;</span>
        <span style="color: #0000ff;">int</span> cap <span style="color: #000080;">=</span> <span style="color: #0000dd;">sqrt</span><span style="color: #008000;">&#40;</span>i<span style="color: #008000;">&#41;</span> <span style="color: #000040;">+</span> <span style="color: #0000dd;">1</span><span style="color: #008080;">;</span>
&nbsp;
        vector<span style="color: #000080;">&lt;</span><span style="color: #0000ff;">int</span><span style="color: #000080;">&gt;</span><span style="color: #008080;">::</span><span style="color: #007788;">iterator</span> p<span style="color: #008080;">;</span>
        <span style="color: #0000ff;">for</span> <span style="color: #008000;">&#40;</span>p <span style="color: #000080;">=</span> primes.<span style="color: #007788;">begin</span><span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span> p <span style="color: #000040;">!</span><span style="color: #000080;">=</span> primes.<span style="color: #007788;">end</span><span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span> p<span style="color: #000040;">++</span><span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
            <span style="color: #0000ff;">if</span> <span style="color: #008000;">&#40;</span><span style="color: #000040;">*</span>p <span style="color: #000080;">&gt;=</span> cap<span style="color: #008000;">&#41;</span> <span style="color: #0000ff;">break</span><span style="color: #008080;">;</span>
            <span style="color: #0000ff;">if</span> <span style="color: #008000;">&#40;</span>i <span style="color: #000040;">%</span> <span style="color: #000040;">*</span>p <span style="color: #000080;">==</span> 0<span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
                isprime <span style="color: #000080;">=</span> <span style="color: #0000ff;">false</span><span style="color: #008080;">;</span>
                <span style="color: #0000ff;">break</span><span style="color: #008080;">;</span>
            <span style="color: #008000;">&#125;</span>
        <span style="color: #008000;">&#125;</span>
        <span style="color: #0000ff;">if</span> <span style="color: #008000;">&#40;</span>isprime<span style="color: #008000;">&#41;</span> primes.<span style="color: #007788;">push_back</span><span style="color: #008000;">&#40;</span>i<span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
    <span style="color: #008000;">&#125;</span>
&nbsp;
    <span style="color: #0000ff;">int</span> T,N,M<span style="color: #008080;">;</span>
&nbsp;
    <span style="color: #0000dd;">cin</span> <span style="color: #000080;">&gt;&gt;</span> T<span style="color: #008080;">;</span>
&nbsp;
    <span style="color: #0000ff;">for</span> <span style="color: #008000;">&#40;</span><span style="color: #0000ff;">int</span> t <span style="color: #000080;">=</span> <span style="color: #0000dd;">0</span><span style="color: #008080;">;</span> t <span style="color: #000080;">&lt;</span> T<span style="color: #008080;">;</span> t<span style="color: #000040;">++</span><span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
        <span style="color: #0000ff;">if</span> <span style="color: #008000;">&#40;</span>t<span style="color: #008000;">&#41;</span> <span style="color: #0000dd;">cout</span> <span style="color: #000080;">&lt;&lt;</span> endl<span style="color: #008080;">;</span>
&nbsp;
        <span style="color: #0000dd;">cin</span> <span style="color: #000080;">&gt;&gt;</span> M <span style="color: #000080;">&gt;&gt;</span> N<span style="color: #008080;">;</span>
        <span style="color: #0000ff;">if</span> <span style="color: #008000;">&#40;</span>M <span style="color: #000080;">&lt;</span> 2<span style="color: #008000;">&#41;</span> M <span style="color: #000080;">=</span> <span style="color: #0000dd;">2</span><span style="color: #008080;">;</span>
&nbsp;
        <span style="color: #0000ff;">int</span> cap <span style="color: #000080;">=</span> <span style="color: #0000dd;">sqrt</span><span style="color: #008000;">&#40;</span>N<span style="color: #008000;">&#41;</span> <span style="color: #000040;">+</span> <span style="color: #0000dd;">1</span><span style="color: #008080;">;</span>
&nbsp;
        set<span style="color: #000080;">&lt;</span><span style="color: #0000ff;">int</span><span style="color: #000080;">&gt;</span> notprime<span style="color: #008080;">;</span>
        notprime.<span style="color: #007788;">clear</span><span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
&nbsp;
        vector<span style="color: #000080;">&lt;</span><span style="color: #0000ff;">int</span><span style="color: #000080;">&gt;</span><span style="color: #008080;">::</span><span style="color: #007788;">iterator</span> p<span style="color: #008080;">;</span>
        <span style="color: #0000ff;">for</span> <span style="color: #008000;">&#40;</span>p <span style="color: #000080;">=</span> primes.<span style="color: #007788;">begin</span><span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span> p <span style="color: #000040;">!</span><span style="color: #000080;">=</span> primes.<span style="color: #007788;">end</span><span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span> p<span style="color: #000040;">++</span><span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
&nbsp;
            <span style="color: #0000ff;">if</span> <span style="color: #008000;">&#40;</span><span style="color: #000040;">*</span>p <span style="color: #000080;">&gt;=</span> cap<span style="color: #008000;">&#41;</span> <span style="color: #0000ff;">break</span><span style="color: #008080;">;</span>
            <span style="color: #0000ff;">int</span> start<span style="color: #008080;">;</span>
&nbsp;
            <span style="color: #0000ff;">if</span> <span style="color: #008000;">&#40;</span><span style="color: #000040;">*</span>p <span style="color: #000080;">&gt;=</span> M<span style="color: #008000;">&#41;</span> start <span style="color: #000080;">=</span> <span style="color: #008000;">&#40;</span><span style="color: #000040;">*</span>p<span style="color: #008000;">&#41;</span><span style="color: #000040;">*</span><span style="color: #0000dd;">2</span><span style="color: #008080;">;</span>
            <span style="color: #0000ff;">else</span> start <span style="color: #000080;">=</span> M <span style="color: #000040;">+</span> <span style="color: #008000;">&#40;</span><span style="color: #008000;">&#40;</span><span style="color: #000040;">*</span>p <span style="color: #000040;">-</span> M <span style="color: #000040;">%</span> <span style="color: #000040;">*</span>p<span style="color: #008000;">&#41;</span> <span style="color: #000040;">%</span> <span style="color: #000040;">*</span>p<span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
&nbsp;
            <span style="color: #0000ff;">for</span> <span style="color: #008000;">&#40;</span><span style="color: #0000ff;">int</span> j <span style="color: #000080;">=</span> start<span style="color: #008080;">;</span> j <span style="color: #000080;">&lt;=</span> N<span style="color: #008080;">;</span> j <span style="color: #000040;">+</span><span style="color: #000080;">=</span> <span style="color: #000040;">*</span>p<span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
                notprime.<span style="color: #007788;">insert</span><span style="color: #008000;">&#40;</span>j<span style="color: #008000;">&#41;</span><span style="color: #008080;">;</span>
            <span style="color: #008000;">&#125;</span>
        <span style="color: #008000;">&#125;</span>
&nbsp;
        <span style="color: #0000ff;">for</span> <span style="color: #008000;">&#40;</span><span style="color: #0000ff;">int</span> i <span style="color: #000080;">=</span> M<span style="color: #008080;">;</span> i <span style="color: #000080;">&lt;=</span> N<span style="color: #008080;">;</span> i<span style="color: #000040;">++</span><span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
            <span style="color: #0000ff;">if</span> <span style="color: #008000;">&#40;</span>notprime.<span style="color: #007788;">count</span><span style="color: #008000;">&#40;</span>i<span style="color: #008000;">&#41;</span> <span style="color: #000080;">==</span> 0<span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
                <span style="color: #0000dd;">cout</span> <span style="color: #000080;">&lt;&lt;</span> i <span style="color: #000080;">&lt;&lt;</span> endl<span style="color: #008080;">;</span>
            <span style="color: #008000;">&#125;</span>
        <span style="color: #008000;">&#125;</span>
&nbsp;
    <span style="color: #008000;">&#125;</span>
    <span style="color: #0000ff;">return</span> <span style="color: #0000dd;">0</span><span style="color: #008080;">;</span>
<span style="color: #008000;">&#125;</span></pre></td></tr></table></div>


<p><span id="more-47"></span>
<strong>C99</strong></p>


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</pre></td><td class="code" id="p47code26"><pre class="c" style="font-family:monospace;"><span style="color: #666666; font-style: italic;">// PRIME1 - C99 (gcc)</span>
<span style="color: #666666; font-style: italic;">// AC Time: 0.07s</span>
<span style="color: #339933;">#include &lt;stdio.h&gt;</span>
<span style="color: #339933;">#include &lt;string.h&gt;</span>
<span style="color: #339933;">#include &lt;stdbool.h&gt;</span>
<span style="color: #339933;">#include &lt;math.h&gt;</span>
&nbsp;
<span style="color: #993333;">int</span> main<span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
    <span style="color: #993333;">int</span> primes<span style="color: #009900;">&#91;</span>4000<span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
    <span style="color: #993333;">int</span> numprimes <span style="color: #339933;">=</span> <span style="color: #0000dd;">0</span><span style="color: #339933;">;</span>
&nbsp;
    primes<span style="color: #009900;">&#91;</span>numprimes<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> <span style="color: #0000dd;">2</span><span style="color: #339933;">;</span>
    <span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #993333;">int</span> i <span style="color: #339933;">=</span> <span style="color: #0000dd;">3</span><span style="color: #339933;">;</span> i <span style="color: #339933;">&lt;=</span> <span style="color: #0000dd;">32000</span><span style="color: #339933;">;</span> i<span style="color: #339933;">+=</span>2<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
        bool isprime <span style="color: #339933;">=</span> <span style="color: #000000; font-weight: bold;">true</span><span style="color: #339933;">;</span>
        <span style="color: #993333;">int</span> cap <span style="color: #339933;">=</span> sqrt<span style="color: #009900;">&#40;</span>i<span style="color: #009900;">&#41;</span><span style="color: #339933;">+</span><span style="color: #0000dd;">1</span><span style="color: #339933;">;</span>
        <span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #993333;">int</span> j <span style="color: #339933;">=</span> <span style="color: #0000dd;">0</span><span style="color: #339933;">;</span> j <span style="color: #339933;">&lt;</span> numprimes<span style="color: #339933;">;</span> j<span style="color: #339933;">++</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span>primes<span style="color: #009900;">&#91;</span>j<span style="color: #009900;">&#93;</span> <span style="color: #339933;">&gt;=</span> cap<span style="color: #009900;">&#41;</span> <span style="color: #000000; font-weight: bold;">break</span><span style="color: #339933;">;</span>
            <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span>i <span style="color: #339933;">%</span> primes<span style="color: #009900;">&#91;</span>j<span style="color: #009900;">&#93;</span> <span style="color: #339933;">==</span> 0<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
                isprime <span style="color: #339933;">=</span> <span style="color: #000000; font-weight: bold;">false</span><span style="color: #339933;">;</span>
                <span style="color: #000000; font-weight: bold;">break</span><span style="color: #339933;">;</span>
            <span style="color: #009900;">&#125;</span>
        <span style="color: #009900;">&#125;</span>
        <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span>isprime<span style="color: #009900;">&#41;</span> primes<span style="color: #009900;">&#91;</span>numprimes<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> i<span style="color: #339933;">;</span>
    <span style="color: #009900;">&#125;</span>
&nbsp;
    <span style="color: #993333;">int</span> T<span style="color: #339933;">,</span>N<span style="color: #339933;">,</span>M<span style="color: #339933;">;</span>
    scanf<span style="color: #009900;">&#40;</span><span style="color: #ff0000;">&quot;%d&quot;</span><span style="color: #339933;">,&amp;</span>T<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
    <span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #993333;">int</span> t <span style="color: #339933;">=</span> <span style="color: #0000dd;">0</span><span style="color: #339933;">;</span> t <span style="color: #339933;">&lt;</span> T<span style="color: #339933;">;</span> t<span style="color: #339933;">++</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
        <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span>t<span style="color: #009900;">&#41;</span> <a href="http://www.opengroup.org/onlinepubs/009695399/functions/printf.html"><span style="color: #000066;">printf</span></a><span style="color: #009900;">&#40;</span><span style="color: #ff0000;">&quot;<span style="color: #000099; font-weight: bold;">\n</span>&quot;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
        scanf<span style="color: #009900;">&#40;</span><span style="color: #ff0000;">&quot;%d %d&quot;</span><span style="color: #339933;">,&amp;</span>M<span style="color: #339933;">,&amp;</span>N<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
        <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span>M <span style="color: #339933;">&lt;</span> 2<span style="color: #009900;">&#41;</span> M <span style="color: #339933;">=</span> <span style="color: #0000dd;">2</span><span style="color: #339933;">;</span>
&nbsp;
        <span style="color: #993333;">int</span> cap <span style="color: #339933;">=</span> sqrt<span style="color: #009900;">&#40;</span>N<span style="color: #009900;">&#41;</span> <span style="color: #339933;">+</span> <span style="color: #0000dd;">1</span><span style="color: #339933;">;</span>
&nbsp;
        bool isprime<span style="color: #009900;">&#91;</span>100001<span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
        memset<span style="color: #009900;">&#40;</span>isprime<span style="color: #339933;">,</span><span style="color: #000000; font-weight: bold;">true</span><span style="color: #339933;">,</span><span style="color: #993333;">sizeof</span><span style="color: #009900;">&#40;</span>isprime<span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>    
&nbsp;
        <span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #993333;">int</span> i <span style="color: #339933;">=</span> <span style="color: #0000dd;">0</span><span style="color: #339933;">;</span> i <span style="color: #339933;">&lt;</span> numprimes<span style="color: #339933;">;</span> i<span style="color: #339933;">++</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #993333;">int</span> p <span style="color: #339933;">=</span> primes<span style="color: #009900;">&#91;</span>i<span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
            <span style="color: #b1b100;">if</span><span style="color: #009900;">&#40;</span>p <span style="color: #339933;">&gt;=</span> cap<span style="color: #009900;">&#41;</span> <span style="color: #000000; font-weight: bold;">break</span><span style="color: #339933;">;</span>
&nbsp;
            <span style="color: #993333;">int</span> start<span style="color: #339933;">;</span>
&nbsp;
            <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span>p <span style="color: #339933;">&gt;=</span> M<span style="color: #009900;">&#41;</span> start <span style="color: #339933;">=</span> p<span style="color: #339933;">*</span><span style="color: #0000dd;">2</span><span style="color: #339933;">;</span>
            <span style="color: #b1b100;">else</span> start <span style="color: #339933;">=</span> M <span style="color: #339933;">+</span> <span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span>p <span style="color: #339933;">-</span> M <span style="color: #339933;">%</span> p<span style="color: #009900;">&#41;</span> <span style="color: #339933;">%</span> p<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
            <span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #993333;">int</span> j <span style="color: #339933;">=</span> start<span style="color: #339933;">;</span> j <span style="color: #339933;">&lt;=</span> N<span style="color: #339933;">;</span> j <span style="color: #339933;">+=</span> p<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
                isprime<span style="color: #009900;">&#91;</span>j <span style="color: #339933;">-</span> M<span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> <span style="color: #000000; font-weight: bold;">false</span><span style="color: #339933;">;</span>
            <span style="color: #009900;">&#125;</span>
        <span style="color: #009900;">&#125;</span>
&nbsp;
        <span style="color: #993333;">int</span> start <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span>M <span style="color: #339933;">%</span> 2<span style="color: #009900;">&#41;</span><span style="color: #339933;">?</span>M<span style="color: #339933;">:</span>M<span style="color: #339933;">+</span><span style="color: #0000dd;">1</span><span style="color: #339933;">;</span>    
&nbsp;
        <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span>M <span style="color: #339933;">==</span> 2<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <a href="http://www.opengroup.org/onlinepubs/009695399/functions/printf.html"><span style="color: #000066;">printf</span></a><span style="color: #009900;">&#40;</span><span style="color: #ff0000;">&quot;2<span style="color: #000099; font-weight: bold;">\n</span>&quot;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span>
        <span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #993333;">int</span> i <span style="color: #339933;">=</span> start<span style="color: #339933;">;</span> i <span style="color: #339933;">&lt;=</span> N<span style="color: #339933;">;</span> i<span style="color: #339933;">+=</span>2<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span>isprime<span style="color: #009900;">&#91;</span>i<span style="color: #339933;">-</span>M<span style="color: #009900;">&#93;</span><span style="color: #009900;">&#41;</span> <a href="http://www.opengroup.org/onlinepubs/009695399/functions/printf.html"><span style="color: #000066;">printf</span></a><span style="color: #009900;">&#40;</span><span style="color: #ff0000;">&quot;%d<span style="color: #000099; font-weight: bold;">\n</span>&quot;</span><span style="color: #339933;">,</span>i<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span>
    <span style="color: #009900;">&#125;</span>
    <span style="color: #b1b100;">return</span> <span style="color: #0000dd;">0</span><span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span></pre></td></tr></table></div>


<p><strong>PHP</strong></p>


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</pre></td><td class="code" id="p47code27"><pre class="php" style="font-family:monospace;"><span style="color: #000000; font-weight: bold;">&lt;?</span>
<span style="color: #666666; font-style: italic;">// PRIME1 - PHP</span>
<span style="color: #666666; font-style: italic;">// AC Time: 5.73</span>
&nbsp;
<span style="color: #000088;">$primes</span> <span style="color: #339933;">=</span> <a href="http://www.php.net/array"><span style="color: #990000;">array</span></a><span style="color: #009900;">&#40;</span>2<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
<span style="color: #000088;">$numprimes</span> <span style="color: #339933;">=</span> <span style="color: #cc66cc;">1</span><span style="color: #339933;">;</span>
&nbsp;
<span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #000088;">$i</span> <span style="color: #339933;">=</span> <span style="color: #cc66cc;">3</span><span style="color: #339933;">;</span> <span style="color: #000088;">$i</span> <span style="color: #339933;">&lt;=</span> <span style="color: #cc66cc;">32000</span><span style="color: #339933;">;</span> <span style="color: #000088;">$i</span><span style="color: #339933;">+=</span>2<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
    <span style="color: #000088;">$isprime</span> <span style="color: #339933;">=</span> <span style="color: #009900; font-weight: bold;">true</span><span style="color: #339933;">;</span>
    <span style="color: #000088;">$cap</span> <span style="color: #339933;">=</span> <a href="http://www.php.net/sqrt"><span style="color: #990000;">sqrt</span></a><span style="color: #009900;">&#40;</span><span style="color: #000088;">$i</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">+</span><span style="color: #cc66cc;">1</span><span style="color: #339933;">;</span>
&nbsp;
    <span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #000088;">$j</span> <span style="color: #339933;">=</span> <span style="color: #cc66cc;">0</span><span style="color: #339933;">;</span> <span style="color: #000088;">$j</span> <span style="color: #339933;">&lt;</span> <span style="color: #000088;">$numprimes</span><span style="color: #339933;">;</span> <span style="color: #339933;">++</span><span style="color: #000088;">$j</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
        <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #000088;">$j</span> <span style="color: #339933;">&gt;=</span> <span style="color: #000088;">$cap</span><span style="color: #009900;">&#41;</span> <span style="color: #b1b100;">break</span><span style="color: #339933;">;</span>
        <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #339933;">!</span><span style="color: #009900;">&#40;</span><span style="color: #000088;">$i</span> <span style="color: #339933;">%</span> <span style="color: #000088;">$primes</span><span style="color: #009900;">&#91;</span><span style="color: #000088;">$j</span><span style="color: #009900;">&#93;</span><span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #000088;">$isprime</span> <span style="color: #339933;">=</span> <span style="color: #009900; font-weight: bold;">false</span><span style="color: #339933;">;</span>
            <span style="color: #b1b100;">break</span><span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span>
    <span style="color: #009900;">&#125;</span>
    <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #000088;">$isprime</span><span style="color: #009900;">&#41;</span> <span style="color: #000088;">$primes</span><span style="color: #009900;">&#91;</span><span style="color: #000088;">$numprimes</span><span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> <span style="color: #000088;">$i</span><span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span>
&nbsp;
<a href="http://www.php.net/fscanf"><span style="color: #990000;">fscanf</span></a><span style="color: #009900;">&#40;</span>STDIN<span style="color: #339933;">,</span><span style="color: #0000ff;">&quot;<span style="color: #009933; font-weight: bold;">%d</span>&quot;</span><span style="color: #339933;">,</span><span style="color: #000088;">$T</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
<span style="color: #000088;">$output</span> <span style="color: #339933;">=</span> <span style="color: #0000ff;">&quot;&quot;</span><span style="color: #339933;">;</span>
&nbsp;
<span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #000088;">$t</span> <span style="color: #339933;">=</span> <span style="color: #cc66cc;">0</span><span style="color: #339933;">;</span> <span style="color: #000088;">$t</span> <span style="color: #339933;">&lt;</span> <span style="color: #000088;">$T</span><span style="color: #339933;">;</span> <span style="color: #000088;">$t</span><span style="color: #339933;">++</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
    <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #000088;">$t</span><span style="color: #009900;">&#41;</span> <span style="color: #000088;">$output</span> <span style="color: #339933;">.=</span> <span style="color: #0000ff;">&quot;<span style="color: #000099; font-weight: bold;">\n</span>&quot;</span><span style="color: #339933;">;</span>
&nbsp;
    <a href="http://www.php.net/fscanf"><span style="color: #990000;">fscanf</span></a><span style="color: #009900;">&#40;</span>STDIN<span style="color: #339933;">,</span><span style="color: #0000ff;">&quot;<span style="color: #009933; font-weight: bold;">%d</span> <span style="color: #009933; font-weight: bold;">%d</span>&quot;</span><span style="color: #339933;">,</span><span style="color: #000088;">$M</span><span style="color: #339933;">,</span><span style="color: #000088;">$N</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
    <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #000088;">$M</span> <span style="color: #339933;">&lt;</span> 2<span style="color: #009900;">&#41;</span> <span style="color: #000088;">$M</span> <span style="color: #339933;">=</span> <span style="color: #cc66cc;">2</span><span style="color: #339933;">;</span>
&nbsp;
    <span style="color: #000088;">$isprime</span> <span style="color: #339933;">=</span> <a href="http://www.php.net/array"><span style="color: #990000;">array</span></a><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
    <span style="color: #000088;">$cap</span> <span style="color: #339933;">=</span> <a href="http://www.php.net/sqrt"><span style="color: #990000;">sqrt</span></a><span style="color: #009900;">&#40;</span><span style="color: #000088;">$N</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">+</span><span style="color: #cc66cc;">1</span><span style="color: #339933;">;</span>
&nbsp;
    <span style="color: #000088;">$i</span> <span style="color: #339933;">=</span> <span style="color: #cc66cc;">0</span><span style="color: #339933;">;</span>
    <span style="color: #b1b100;">while</span><span style="color: #009900;">&#40;</span><span style="color: #000088;">$i</span> <span style="color: #339933;">&lt;</span> <span style="color: #000088;">$numprimes</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
        <span style="color: #000088;">$p</span> <span style="color: #339933;">=</span> <span style="color: #000088;">$primes</span><span style="color: #009900;">&#91;</span><span style="color: #000088;">$i</span><span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
        <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #000088;">$p</span> <span style="color: #339933;">&gt;=</span> <span style="color: #000088;">$cap</span><span style="color: #009900;">&#41;</span> <span style="color: #b1b100;">break</span><span style="color: #339933;">;</span>
&nbsp;
        <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #000088;">$p</span> <span style="color: #339933;">&gt;=</span> <span style="color: #000088;">$M</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #000088;">$start</span> <span style="color: #339933;">=</span> <span style="color: #000088;">$p</span><span style="color: #339933;">*</span><span style="color: #cc66cc;">2</span><span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span> <span style="color: #b1b100;">else</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #000088;">$start</span> <span style="color: #339933;">=</span> <span style="color: #000088;">$M</span> <span style="color: #339933;">+</span> <span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span><span style="color: #000088;">$p</span> <span style="color: #339933;">-</span> <span style="color: #000088;">$M</span> <span style="color: #339933;">%</span> <span style="color: #000088;">$p</span><span style="color: #009900;">&#41;</span> <span style="color: #339933;">%</span> <span style="color: #000088;">$p</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span>
&nbsp;
        <span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #000088;">$j</span> <span style="color: #339933;">=</span> <span style="color: #000088;">$start</span><span style="color: #339933;">;</span> <span style="color: #000088;">$j</span> <span style="color: #339933;">&lt;=</span> <span style="color: #000088;">$N</span><span style="color: #339933;">;</span> <span style="color: #000088;">$j</span> <span style="color: #339933;">+=</span> <span style="color: #000088;">$p</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #000088;">$isprime</span><span style="color: #009900;">&#91;</span><span style="color: #000088;">$j</span> <span style="color: #339933;">-</span> <span style="color: #000088;">$M</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> <span style="color: #009900; font-weight: bold;">false</span><span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span>
&nbsp;
        <span style="color: #339933;">++</span><span style="color: #000088;">$i</span><span style="color: #339933;">;</span>
    <span style="color: #009900;">&#125;</span>
&nbsp;
    <span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #000088;">$i</span> <span style="color: #339933;">=</span> <span style="color: #000088;">$M</span><span style="color: #339933;">;</span> <span style="color: #000088;">$i</span> <span style="color: #339933;">&lt;=</span> <span style="color: #000088;">$N</span><span style="color: #339933;">;</span> <span style="color: #339933;">++</span><span style="color: #000088;">$i</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
        <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #339933;">!</span><a href="http://www.php.net/isset"><span style="color: #990000;">isset</span></a><span style="color: #009900;">&#40;</span><span style="color: #000088;">$isprime</span><span style="color: #009900;">&#91;</span><span style="color: #000088;">$i</span><span style="color: #339933;">-</span><span style="color: #000088;">$M</span><span style="color: #009900;">&#93;</span><span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #000088;">$output</span> <span style="color: #339933;">.=</span> <span style="color: #0000ff;">&quot;<span style="color: #006699; font-weight: bold;">$i</span><span style="color: #000099; font-weight: bold;">\n</span>&quot;</span><span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span>
    <span style="color: #009900;">&#125;</span>
<span style="color: #009900;">&#125;</span>
&nbsp;
<span style="color: #b1b100;">echo</span> <span style="color: #000088;">$output</span><span style="color: #339933;">;</span>
<span style="color: #000000; font-weight: bold;">?&gt;</span></pre></td></tr></table></div>


<p><strong>Python</strong></p>


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</pre></td><td class="code" id="p47code28"><pre class="python" style="font-family:monospace;"><span style="color: #808080; font-style: italic;"># PRIME1 - Python</span>
<span style="color: #808080; font-style: italic;"># AC Time: 3.10s</span>
<span style="color: #ff7700;font-weight:bold;">from</span> <span style="color: #dc143c;">math</span> <span style="color: #ff7700;font-weight:bold;">import</span> sqrt
primes = <span style="color: black;">&#91;</span>2<span style="color: black;">&#93;</span>
&nbsp;
<span style="color: #ff7700;font-weight:bold;">for</span> i <span style="color: #ff7700;font-weight:bold;">in</span> <span style="color: #008000;">range</span><span style="color: black;">&#40;</span>3,32000,2<span style="color: black;">&#41;</span>:
    isprime = <span style="color: #008000;">True</span>
&nbsp;
    cap = sqrt<span style="color: black;">&#40;</span>i<span style="color: black;">&#41;</span>+1
&nbsp;
    <span style="color: #ff7700;font-weight:bold;">for</span> j <span style="color: #ff7700;font-weight:bold;">in</span> primes:
        <span style="color: #ff7700;font-weight:bold;">if</span> <span style="color: black;">&#40;</span>j <span style="color: #66cc66;">&gt;</span>= cap<span style="color: black;">&#41;</span>:
            <span style="color: #ff7700;font-weight:bold;">break</span>
        <span style="color: #ff7700;font-weight:bold;">if</span> <span style="color: black;">&#40;</span>i <span style="color: #66cc66;">%</span> j == 0<span style="color: black;">&#41;</span>:
            isprime = <span style="color: #008000;">False</span>
            <span style="color: #ff7700;font-weight:bold;">break</span>
    <span style="color: #ff7700;font-weight:bold;">if</span> <span style="color: black;">&#40;</span>isprime<span style="color: black;">&#41;</span>:
        primes.<span style="color: black;">append</span><span style="color: black;">&#40;</span>i<span style="color: black;">&#41;</span>
&nbsp;
T = <span style="color: #008000;">input</span><span style="color: black;">&#40;</span><span style="color: black;">&#41;</span>
output = <span style="color: #483d8b;">&quot;&quot;</span>
<span style="color: #ff7700;font-weight:bold;">for</span> t <span style="color: #ff7700;font-weight:bold;">in</span> <span style="color: #008000;">range</span><span style="color: black;">&#40;</span>T<span style="color: black;">&#41;</span>:
&nbsp;
    <span style="color: #ff7700;font-weight:bold;">if</span> <span style="color: black;">&#40;</span>t <span style="color: #66cc66;">&gt;</span> <span style="color: #ff4500;">0</span><span style="color: black;">&#41;</span>:
        output += <span style="color: #483d8b;">&quot;<span style="color: #000099; font-weight: bold;">\n</span>&quot;</span>
&nbsp;
    M,N = <span style="color: #008000;">raw_input</span><span style="color: black;">&#40;</span><span style="color: black;">&#41;</span>.<span style="color: black;">split</span><span style="color: black;">&#40;</span><span style="color: #483d8b;">' '</span><span style="color: black;">&#41;</span>
    M = <span style="color: #008000;">int</span><span style="color: black;">&#40;</span>M<span style="color: black;">&#41;</span>
    N = <span style="color: #008000;">int</span><span style="color: black;">&#40;</span>N<span style="color: black;">&#41;</span>
    cap = sqrt<span style="color: black;">&#40;</span>N<span style="color: black;">&#41;</span>+1
&nbsp;
    <span style="color: #ff7700;font-weight:bold;">if</span> <span style="color: black;">&#40;</span>M <span style="color: #66cc66;">&lt;</span> 2<span style="color: black;">&#41;</span>:
        M = 2
&nbsp;
    isprime = <span style="color: black;">&#91;</span><span style="color: #008000;">True</span><span style="color: black;">&#93;</span><span style="color: #66cc66;">*</span>100001
&nbsp;
    <span style="color: #ff7700;font-weight:bold;">for</span> i <span style="color: #ff7700;font-weight:bold;">in</span> primes:
        <span style="color: #ff7700;font-weight:bold;">if</span> <span style="color: black;">&#40;</span>i <span style="color: #66cc66;">&gt;</span>= cap<span style="color: black;">&#41;</span>:
            <span style="color: #ff7700;font-weight:bold;">break</span>
&nbsp;
        <span style="color: #ff7700;font-weight:bold;">if</span> <span style="color: black;">&#40;</span>i <span style="color: #66cc66;">&gt;</span>= M<span style="color: black;">&#41;</span>:
            start = i<span style="color: #66cc66;">*</span>2
        <span style="color: #ff7700;font-weight:bold;">else</span>:
            start = M + <span style="color: black;">&#40;</span><span style="color: black;">&#40;</span>i - M <span style="color: #66cc66;">%</span> i<span style="color: black;">&#41;</span><span style="color: #66cc66;">%</span>i<span style="color: black;">&#41;</span>
&nbsp;
        <span style="color: #808080; font-style: italic;"># The two below, obscure lines create a continuous</span>
        <span style="color: #808080; font-style: italic;">#  block of false elements in order to set all</span>
        <span style="color: #808080; font-style: italic;">#  elements correspnding to numbers divisible by i</span>
        <span style="color: #808080; font-style: italic;">#  in isprime to be false</span>
        <span style="color: #808080; font-style: italic;"># In turns out that this runs substantially faster</span>
        <span style="color: #808080; font-style: italic;">#  than setting the elements individually using loops</span>
        falseblock = <span style="color: black;">&#91;</span><span style="color: #008000;">False</span><span style="color: black;">&#93;</span> <span style="color: #66cc66;">*</span> <span style="color: #008000;">len</span><span style="color: black;">&#40;</span>isprime<span style="color: black;">&#91;</span>start-M:N+1-M:i<span style="color: black;">&#93;</span><span style="color: black;">&#41;</span><span style="color: #66cc66;">;</span>
        isprime<span style="color: black;">&#91;</span>start-M:N+1-M:i<span style="color: black;">&#93;</span> = falseblock
&nbsp;
    <span style="color: #ff7700;font-weight:bold;">for</span> i <span style="color: #ff7700;font-weight:bold;">in</span> <span style="color: #008000;">range</span><span style="color: black;">&#40;</span>M,N+1<span style="color: black;">&#41;</span>:
        <span style="color: #ff7700;font-weight:bold;">if</span> <span style="color: black;">&#40;</span>isprime<span style="color: black;">&#91;</span>i-M<span style="color: black;">&#93;</span> == <span style="color: #008000;">True</span><span style="color: black;">&#41;</span>:
            output += <span style="color: #008000;">str</span><span style="color: black;">&#40;</span>i<span style="color: black;">&#41;</span> + <span style="color: #483d8b;">&quot;<span style="color: #000099; font-weight: bold;">\n</span>&quot;</span>
&nbsp;
<span style="color: #ff7700;font-weight:bold;">print</span> output<span style="color: black;">&#91;</span>:-<span style="color: #ff4500;">1</span><span style="color: black;">&#93;</span></pre></td></tr></table></div>


<p><strong>Bash</strong></p>


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</pre></td><td class="code" id="p47code29"><pre class="bash" style="font-family:monospace;"><span style="color: #666666; font-style: italic;"># PRIME1 Incomplete - BASH</span>
<span style="color: #666666; font-style: italic;"># This is not a complete solution</span>
<span style="color: #666666; font-style: italic;"># The speed of bash parsing makes getting an </span>
<span style="color: #666666; font-style: italic;">#  AC submission infeasible</span>
&nbsp;
<span style="color: #666666; font-style: italic;"># The following code is a working prime generator</span>
<span style="color: #666666; font-style: italic;"># Giving enough time, it will output all prime </span>
<span style="color: #666666; font-style: italic;">#  numbers from 0 to 32000</span>
<span style="color: #666666; font-style: italic;"># ..which is the first step in the solution to PRIME1</span>
&nbsp;
<span style="color: #7a0874; font-weight: bold;">let</span> PRIMES<span style="color: #7a0874; font-weight: bold;">&#91;</span>0<span style="color: #7a0874; font-weight: bold;">&#93;</span>=2
<span style="color: #7a0874; font-weight: bold;">let</span> <span style="color: #007800;">NUMPRIMES</span>=1
<span style="color: #000000; font-weight: bold;">for</span> i <span style="color: #000000; font-weight: bold;">in</span> <span style="color: #7a0874; font-weight: bold;">&#123;</span>3..32000<span style="color: #7a0874; font-weight: bold;">&#125;</span>; <span style="color: #000000; font-weight: bold;">do</span>
    <span style="color: #7a0874; font-weight: bold;">let</span> <span style="color: #007800;">ISPRIME</span>=<span style="color: #000000;">1</span>
&nbsp;
    <span style="color: #666666; font-style: italic;">#for j in {0..$NUMPRIMES}; do</span>
    <span style="color: #000000; font-weight: bold;">for</span> <span style="color: #7a0874; font-weight: bold;">&#40;</span><span style="color: #7a0874; font-weight: bold;">&#40;</span> j = <span style="color: #000000;">0</span>;j<span style="color: #000000; font-weight: bold;">&lt;</span><span style="color: #007800;">$NUMPRIMES</span>;j++ <span style="color: #7a0874; font-weight: bold;">&#41;</span><span style="color: #7a0874; font-weight: bold;">&#41;</span>; <span style="color: #000000; font-weight: bold;">do</span>
        <span style="color: #7a0874; font-weight: bold;">let</span> <span style="color: #007800;">CURPRIME</span>=<span style="color: #800000;">${PRIMES[$j]}</span>
        <span style="color: #000000; font-weight: bold;">if</span> <span style="color: #7a0874; font-weight: bold;">&#91;</span><span style="color: #7a0874; font-weight: bold;">&#91;</span> <span style="color: #007800;">$CURPRIME</span><span style="color: #000000; font-weight: bold;">*</span><span style="color: #007800;">$CURPRIME</span> <span style="color: #660033;">-gt</span> <span style="color: #007800;">$i</span> <span style="color: #7a0874; font-weight: bold;">&#93;</span><span style="color: #7a0874; font-weight: bold;">&#93;</span>; <span style="color: #000000; font-weight: bold;">then</span>
            <span style="color: #7a0874; font-weight: bold;">break</span>
        <span style="color: #000000; font-weight: bold;">fi</span>
&nbsp;
        <span style="color: #7a0874; font-weight: bold;">let</span> <span style="color: #007800;">MOD</span>=$<span style="color: #7a0874; font-weight: bold;">&#91;</span><span style="color: #007800;">$i</span> <span style="color: #000000; font-weight: bold;">%</span> <span style="color: #007800;">$CURPRIME</span><span style="color: #7a0874; font-weight: bold;">&#93;</span>
        <span style="color: #000000; font-weight: bold;">if</span> <span style="color: #7a0874; font-weight: bold;">&#91;</span> <span style="color: #007800;">$MOD</span> <span style="color: #660033;">-eq</span> 0 <span style="color: #7a0874; font-weight: bold;">&#93;</span>; <span style="color: #000000; font-weight: bold;">then</span>
            <span style="color: #7a0874; font-weight: bold;">let</span> <span style="color: #007800;">ISPRIME</span>=0
            <span style="color: #7a0874; font-weight: bold;">break</span>
        <span style="color: #000000; font-weight: bold;">fi</span>
    <span style="color: #000000; font-weight: bold;">done</span>
&nbsp;
    <span style="color: #000000; font-weight: bold;">if</span> <span style="color: #7a0874; font-weight: bold;">&#91;</span> <span style="color: #007800;">$ISPRIME</span> <span style="color: #660033;">-eq</span> 1 <span style="color: #7a0874; font-weight: bold;">&#93;</span>; <span style="color: #000000; font-weight: bold;">then</span>
        <span style="color: #7a0874; font-weight: bold;">echo</span> <span style="color: #007800;">$i</span>
        <span style="color: #7a0874; font-weight: bold;">let</span> PRIMES<span style="color: #7a0874; font-weight: bold;">&#91;</span>NUMPRIMES<span style="color: #7a0874; font-weight: bold;">&#93;</span>=<span style="color: #007800;">$i</span>
        <span style="color: #7a0874; font-weight: bold;">let</span> <span style="color: #007800;">NUMPRIMES</span>=NUMPRIMES+1
    <span style="color: #000000; font-weight: bold;">fi</span>
<span style="color: #000000; font-weight: bold;">done</span></pre></td></tr></table></div>


<p><strong>Ruby</strong></p>


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</pre></td><td class="code" id="p47code30"><pre class="ruby" style="font-family:monospace;"><span style="color:#008000; font-style:italic;"># PRIME1 - Ruby</span>
<span style="color:#008000; font-style:italic;"># AC Time: 4.65s</span>
<span style="color:#008000; font-style:italic;"># </span>
<span style="color:#008000; font-style:italic;"># While I would have liked to use more</span>
<span style="color:#008000; font-style:italic;"># Ruby idioms such as for p in primes</span>
<span style="color:#008000; font-style:italic;"># or primes.each do |p| (used once),</span>
<span style="color:#008000; font-style:italic;"># the difference in runtime between</span>
<span style="color:#008000; font-style:italic;"># the use of loops like these and while</span>
<span style="color:#008000; font-style:italic;"># loops was non-negligible</span>
&nbsp;
primes = <span style="color:#006600; font-weight:bold;">&#91;</span>2<span style="color:#006600; font-weight:bold;">&#93;</span>
&nbsp;
3.<span style="color:#9900CC;">step</span><span style="color:#006600; font-weight:bold;">&#40;</span>32000,2<span style="color:#006600; font-weight:bold;">&#41;</span> <span style="color:#9966CC; font-weight:bold;">do</span> <span style="color:#006600; font-weight:bold;">|</span>i<span style="color:#006600; font-weight:bold;">|</span>
    isprime = <span style="color:#0000FF; font-weight:bold;">true</span>
    cap = <span style="color:#CC00FF; font-weight:bold;">Math</span>.<span style="color:#9900CC;">sqrt</span><span style="color:#006600; font-weight:bold;">&#40;</span>i<span style="color:#006600; font-weight:bold;">&#41;</span> <span style="color:#006600; font-weight:bold;">+</span> 1
&nbsp;
    primes.<span style="color:#9900CC;">each</span> <span style="color:#9966CC; font-weight:bold;">do</span> <span style="color:#006600; font-weight:bold;">|</span>p<span style="color:#006600; font-weight:bold;">|</span>
        <span style="color:#9966CC; font-weight:bold;">if</span> <span style="color:#006600; font-weight:bold;">&#40;</span><span style="color:#CC0066; font-weight:bold;">p</span> <span style="color:#006600; font-weight:bold;">&gt;</span>= cap<span style="color:#006600; font-weight:bold;">&#41;</span>
            <span style="color:#9966CC; font-weight:bold;">break</span>
        <span style="color:#9966CC; font-weight:bold;">end</span>
&nbsp;
        <span style="color:#9966CC; font-weight:bold;">if</span> <span style="color:#006600; font-weight:bold;">&#40;</span>i <span style="color:#006600; font-weight:bold;">%</span> <span style="color:#CC0066; font-weight:bold;">p</span> == 0<span style="color:#006600; font-weight:bold;">&#41;</span>
            isprime = <span style="color:#0000FF; font-weight:bold;">false</span>
            <span style="color:#9966CC; font-weight:bold;">break</span>
        <span style="color:#9966CC; font-weight:bold;">end</span>
    <span style="color:#9966CC; font-weight:bold;">end</span>
&nbsp;
    <span style="color:#9966CC; font-weight:bold;">if</span> isprime
        primes <span style="color:#006600; font-weight:bold;">&lt;&lt;</span> i
    <span style="color:#9966CC; font-weight:bold;">end</span>
<span style="color:#9966CC; font-weight:bold;">end</span>
numprimes = primes.<span style="color:#9900CC;">length</span>
&nbsp;
T = <span style="color:#CC0066; font-weight:bold;">gets</span>.<span style="color:#9900CC;">to_i</span>
&nbsp;
&nbsp;
output = <span style="color:#996600;">&quot;&quot;</span>
t = 0
<span style="color:#9966CC; font-weight:bold;">while</span> t <span style="color:#006600; font-weight:bold;">&lt;</span> T
    <span style="color:#CC0066; font-weight:bold;">print</span> <span style="color:#996600;">&quot;<span style="color:#000099;">\n</span>&quot;</span> <span style="color:#9966CC; font-weight:bold;">if</span> t <span style="color:#006600; font-weight:bold;">&gt;</span> 0
    line = <span style="color:#CC0066; font-weight:bold;">gets</span>.<span style="color:#CC0066; font-weight:bold;">split</span><span style="color:#006600; font-weight:bold;">&#40;</span><span style="color:#996600;">&quot; &quot;</span><span style="color:#006600; font-weight:bold;">&#41;</span>
    m = line<span style="color:#006600; font-weight:bold;">&#91;</span>0<span style="color:#006600; font-weight:bold;">&#93;</span>.<span style="color:#9900CC;">to_i</span>
    n = line<span style="color:#006600; font-weight:bold;">&#91;</span>1<span style="color:#006600; font-weight:bold;">&#93;</span>.<span style="color:#9900CC;">to_i</span>
&nbsp;
    m = 2 <span style="color:#9966CC; font-weight:bold;">if</span> m <span style="color:#006600; font-weight:bold;">&lt;</span> 2
&nbsp;
    cap = <span style="color:#CC00FF; font-weight:bold;">Math</span>.<span style="color:#9900CC;">sqrt</span><span style="color:#006600; font-weight:bold;">&#40;</span>n<span style="color:#006600; font-weight:bold;">&#41;</span> <span style="color:#006600; font-weight:bold;">+</span> 1
&nbsp;
    notprime = <span style="color:#006600; font-weight:bold;">&#123;</span><span style="color:#006600; font-weight:bold;">&#125;</span>
&nbsp;
    i = 0
    <span style="color:#9966CC; font-weight:bold;">while</span> i <span style="color:#006600; font-weight:bold;">&lt;</span> numprimes
        <span style="color:#CC0066; font-weight:bold;">p</span> = primes<span style="color:#006600; font-weight:bold;">&#91;</span>i<span style="color:#006600; font-weight:bold;">&#93;</span>
        i<span style="color:#006600; font-weight:bold;">+</span>=1
        <span style="color:#9966CC; font-weight:bold;">if</span> <span style="color:#006600; font-weight:bold;">&#40;</span><span style="color:#CC0066; font-weight:bold;">p</span> <span style="color:#006600; font-weight:bold;">&gt;</span>= cap<span style="color:#006600; font-weight:bold;">&#41;</span>
            <span style="color:#9966CC; font-weight:bold;">break</span>
        <span style="color:#9966CC; font-weight:bold;">end</span>
&nbsp;
        <span style="color:#9966CC; font-weight:bold;">if</span> <span style="color:#006600; font-weight:bold;">&#40;</span><span style="color:#CC0066; font-weight:bold;">p</span> <span style="color:#006600; font-weight:bold;">&gt;</span>= m<span style="color:#006600; font-weight:bold;">&#41;</span>
            start = <span style="color:#CC0066; font-weight:bold;">p</span><span style="color:#006600; font-weight:bold;">*</span>2
        <span style="color:#9966CC; font-weight:bold;">else</span> 
            start = m <span style="color:#006600; font-weight:bold;">+</span> <span style="color:#006600; font-weight:bold;">&#40;</span><span style="color:#006600; font-weight:bold;">&#40;</span><span style="color:#CC0066; font-weight:bold;">p</span> <span style="color:#006600; font-weight:bold;">-</span> m <span style="color:#006600; font-weight:bold;">%</span> <span style="color:#CC0066; font-weight:bold;">p</span><span style="color:#006600; font-weight:bold;">&#41;</span><span style="color:#006600; font-weight:bold;">%</span><span style="color:#CC0066; font-weight:bold;">p</span><span style="color:#006600; font-weight:bold;">&#41;</span>
        <span style="color:#9966CC; font-weight:bold;">end</span>
&nbsp;
        j = start
        <span style="color:#9966CC; font-weight:bold;">while</span> j <span style="color:#006600; font-weight:bold;">&lt;</span>= n
            notprime<span style="color:#006600; font-weight:bold;">&#91;</span>j<span style="color:#006600; font-weight:bold;">&#93;</span> = <span style="color:#0000FF; font-weight:bold;">true</span>
            j <span style="color:#006600; font-weight:bold;">+</span>= <span style="color:#CC0066; font-weight:bold;">p</span>
        <span style="color:#9966CC; font-weight:bold;">end</span>
    <span style="color:#9966CC; font-weight:bold;">end</span>
&nbsp;
    i = m
    <span style="color:#9966CC; font-weight:bold;">while</span> <span style="color:#006600; font-weight:bold;">&#40;</span>i <span style="color:#006600; font-weight:bold;">&lt;</span>= n<span style="color:#006600; font-weight:bold;">&#41;</span>
        <span style="color:#9966CC; font-weight:bold;">if</span> <span style="color:#006600; font-weight:bold;">&#40;</span>notprime<span style="color:#006600; font-weight:bold;">&#91;</span>i<span style="color:#006600; font-weight:bold;">&#93;</span> == <span style="color:#0000FF; font-weight:bold;">nil</span><span style="color:#006600; font-weight:bold;">&#41;</span>
            <span style="color:#CC0066; font-weight:bold;">print</span> i,<span style="color:#996600;">&quot;<span style="color:#000099;">\n</span>&quot;</span>
        <span style="color:#9966CC; font-weight:bold;">end</span>
        i<span style="color:#006600; font-weight:bold;">+</span>=1
    <span style="color:#9966CC; font-weight:bold;">end</span>
    t <span style="color:#006600; font-weight:bold;">+</span>= 1
<span style="color:#9966CC; font-weight:bold;">end</span></pre></td></tr></table></div>


<p><strong>Java</strong></p>


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</pre></td><td class="code" id="p47code31"><pre class="java" style="font-family:monospace;"><span style="color: #666666; font-style: italic;">// PRIME1 - Java</span>
<span style="color: #666666; font-style: italic;">// AC Time: 2.20</span>
&nbsp;
<span style="color: #000000; font-weight: bold;">import</span> <span style="color: #006699;">java.io.*</span><span style="color: #339933;">;</span>
<span style="color: #000000; font-weight: bold;">import</span> <span style="color: #006699;">java.util.*</span><span style="color: #339933;">;</span>
<span style="color: #000000; font-weight: bold;">import</span> <span style="color: #006699;">java.lang.Math.*</span><span style="color: #339933;">;</span>
&nbsp;
<span style="color: #000000; font-weight: bold;">public</span> <span style="color: #000000; font-weight: bold;">class</span> Main <span style="color: #009900;">&#123;</span>
    <span style="color: #000000; font-weight: bold;">public</span> <span style="color: #000000; font-weight: bold;">static</span> <span style="color: #000066; font-weight: bold;">void</span> main<span style="color: #009900;">&#40;</span><a href="http://www.google.com/search?hl=en&amp;q=allinurl%3Astring+java.sun.com&amp;btnI=I%27m%20Feeling%20Lucky"><span style="color: #003399;">String</span></a><span style="color: #009900;">&#91;</span><span style="color: #009900;">&#93;</span> args<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
        Scanner in <span style="color: #339933;">=</span> <span style="color: #000000; font-weight: bold;">new</span> Scanner<span style="color: #009900;">&#40;</span><a href="http://www.google.com/search?hl=en&amp;q=allinurl%3Asystem+java.sun.com&amp;btnI=I%27m%20Feeling%20Lucky"><span style="color: #003399;">System</span></a>.<span style="color: #006633;">in</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
        <span style="color: #000066; font-weight: bold;">int</span><span style="color: #009900;">&#91;</span><span style="color: #009900;">&#93;</span> primes <span style="color: #339933;">=</span> <span style="color: #000000; font-weight: bold;">new</span> <span style="color: #000066; font-weight: bold;">int</span><span style="color: #009900;">&#91;</span>4000<span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
        <span style="color: #000066; font-weight: bold;">int</span> numprimes <span style="color: #339933;">=</span> <span style="color: #cc66cc;">0</span><span style="color: #339933;">;</span>
&nbsp;
        primes<span style="color: #009900;">&#91;</span>numprimes<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> <span style="color: #cc66cc;">2</span><span style="color: #339933;">;</span>
        <span style="color: #000000; font-weight: bold;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #000066; font-weight: bold;">int</span> i <span style="color: #339933;">=</span> <span style="color: #cc66cc;">3</span><span style="color: #339933;">;</span> i <span style="color: #339933;">&lt;=</span> <span style="color: #cc66cc;">32000</span><span style="color: #339933;">;</span> i<span style="color: #339933;">+=</span>2<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #000066; font-weight: bold;">boolean</span> isprime <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">true</span><span style="color: #339933;">;</span>
            <span style="color: #000066; font-weight: bold;">double</span> cap <span style="color: #339933;">=</span> <a href="http://www.google.com/search?hl=en&amp;q=allinurl%3Amath+java.sun.com&amp;btnI=I%27m%20Feeling%20Lucky"><span style="color: #003399;">Math</span></a>.<span style="color: #006633;">sqrt</span><span style="color: #009900;">&#40;</span>i<span style="color: #009900;">&#41;</span> <span style="color: #339933;">+</span> <span style="color: #cc66cc;">1.0</span><span style="color: #339933;">;</span>
&nbsp;
            <span style="color: #000000; font-weight: bold;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #000066; font-weight: bold;">int</span> j <span style="color: #339933;">=</span> <span style="color: #cc66cc;">0</span><span style="color: #339933;">;</span> j <span style="color: #339933;">&lt;</span> numprimes<span style="color: #339933;">;</span> j<span style="color: #339933;">++</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
                <span style="color: #000000; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>j <span style="color: #339933;">&gt;=</span> cap<span style="color: #009900;">&#41;</span> <span style="color: #000000; font-weight: bold;">break</span><span style="color: #339933;">;</span>
                <span style="color: #000000; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>i <span style="color: #339933;">%</span> primes<span style="color: #009900;">&#91;</span>j<span style="color: #009900;">&#93;</span> <span style="color: #339933;">==</span> 0<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
                    isprime <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">false</span><span style="color: #339933;">;</span>
                    <span style="color: #000000; font-weight: bold;">break</span><span style="color: #339933;">;</span>
                <span style="color: #009900;">&#125;</span>
            <span style="color: #009900;">&#125;</span>
            <span style="color: #000000; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>isprime<span style="color: #009900;">&#41;</span> primes<span style="color: #009900;">&#91;</span>numprimes<span style="color: #339933;">++</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> i<span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span>
&nbsp;
&nbsp;
        <span style="color: #000066; font-weight: bold;">int</span> T,N,M<span style="color: #339933;">;</span>
&nbsp;
        T <span style="color: #339933;">=</span> in.<span style="color: #006633;">nextInt</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
        <span style="color: #000000; font-weight: bold;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #000066; font-weight: bold;">int</span> t <span style="color: #339933;">=</span> <span style="color: #cc66cc;">0</span><span style="color: #339933;">;</span> t <span style="color: #339933;">&lt;</span> T<span style="color: #339933;">;</span> t<span style="color: #339933;">++</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #000000; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>t <span style="color: #339933;">&gt;</span> 0<span style="color: #009900;">&#41;</span> <a href="http://www.google.com/search?hl=en&amp;q=allinurl%3Asystem+java.sun.com&amp;btnI=I%27m%20Feeling%20Lucky"><span style="color: #003399;">System</span></a>.<span style="color: #006633;">out</span>.<span style="color: #006633;">println</span><span style="color: #009900;">&#40;</span><span style="color: #0000ff;">&quot;&quot;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
            M <span style="color: #339933;">=</span> in.<span style="color: #006633;">nextInt</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
            N <span style="color: #339933;">=</span> in.<span style="color: #006633;">nextInt</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
            <span style="color: #000000; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>M <span style="color: #339933;">&lt;</span> 2<span style="color: #009900;">&#41;</span> M <span style="color: #339933;">=</span> <span style="color: #cc66cc;">2</span><span style="color: #339933;">;</span>
&nbsp;
            <span style="color: #000066; font-weight: bold;">boolean</span><span style="color: #009900;">&#91;</span><span style="color: #009900;">&#93;</span> isprime <span style="color: #339933;">=</span> <span style="color: #000000; font-weight: bold;">new</span> <span style="color: #000066; font-weight: bold;">boolean</span><span style="color: #009900;">&#91;</span>100001<span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
            <span style="color: #000000; font-weight: bold;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #000066; font-weight: bold;">int</span> j <span style="color: #339933;">=</span> <span style="color: #cc66cc;">0</span><span style="color: #339933;">;</span> j <span style="color: #339933;">&lt;</span> <span style="color: #cc66cc;">100001</span><span style="color: #339933;">;</span> j<span style="color: #339933;">++</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
                isprime<span style="color: #009900;">&#91;</span>j<span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">true</span><span style="color: #339933;">;</span>
            <span style="color: #009900;">&#125;</span>
&nbsp;
            <span style="color: #000000; font-weight: bold;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #000066; font-weight: bold;">int</span> i <span style="color: #339933;">=</span> <span style="color: #cc66cc;">0</span><span style="color: #339933;">;</span> i <span style="color: #339933;">&lt;</span> numprimes<span style="color: #339933;">;</span> i<span style="color: #339933;">++</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
                <span style="color: #000066; font-weight: bold;">int</span> p <span style="color: #339933;">=</span> primes<span style="color: #009900;">&#91;</span>i<span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
                <span style="color: #000066; font-weight: bold;">int</span> start<span style="color: #339933;">;</span>
&nbsp;
                <span style="color: #000000; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>p <span style="color: #339933;">&gt;=</span> M<span style="color: #009900;">&#41;</span> start <span style="color: #339933;">=</span> p<span style="color: #339933;">*</span><span style="color: #cc66cc;">2</span><span style="color: #339933;">;</span>
                <span style="color: #000000; font-weight: bold;">else</span> start <span style="color: #339933;">=</span> M <span style="color: #339933;">+</span> <span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span>p <span style="color: #339933;">-</span> M <span style="color: #339933;">%</span> p<span style="color: #009900;">&#41;</span><span style="color: #339933;">%</span>p<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
                <span style="color: #000000; font-weight: bold;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #000066; font-weight: bold;">int</span> j <span style="color: #339933;">=</span> start<span style="color: #339933;">;</span> j <span style="color: #339933;">&lt;=</span> N<span style="color: #339933;">;</span> j <span style="color: #339933;">+=</span> p<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
                    isprime<span style="color: #009900;">&#91;</span>j <span style="color: #339933;">-</span> M<span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> <span style="color: #000066; font-weight: bold;">false</span><span style="color: #339933;">;</span>
                <span style="color: #009900;">&#125;</span>
            <span style="color: #009900;">&#125;</span>
&nbsp;
            <span style="color: #000000; font-weight: bold;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #000066; font-weight: bold;">int</span> i <span style="color: #339933;">=</span> M<span style="color: #339933;">;</span> i <span style="color: #339933;">&lt;=</span> N<span style="color: #339933;">;</span> i<span style="color: #339933;">++</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
                <span style="color: #000000; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>isprime<span style="color: #009900;">&#91;</span>i<span style="color: #339933;">-</span>M<span style="color: #009900;">&#93;</span><span style="color: #009900;">&#41;</span> <a href="http://www.google.com/search?hl=en&amp;q=allinurl%3Asystem+java.sun.com&amp;btnI=I%27m%20Feeling%20Lucky"><span style="color: #003399;">System</span></a>.<span style="color: #006633;">out</span>.<span style="color: #006633;">println</span><span style="color: #009900;">&#40;</span>i<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
            <span style="color: #009900;">&#125;</span>
        <span style="color: #009900;">&#125;</span>
    <span style="color: #009900;">&#125;</span>
<span style="color: #009900;">&#125;</span></pre></td></tr></table></div>


<p><strong>Perl</strong></p>


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</pre></td><td class="code" id="p47code32"><pre class="perl" style="font-family:monospace;"><span style="color: #666666; font-style: italic;"># PRIME1 - Perl</span>
<span style="color: #666666; font-style: italic;"># AC Time: 4.28s</span>
<span style="color: #0000ff;">@primes</span> <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span>2<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
<span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$i</span> <span style="color: #339933;">=</span> <span style="color: #cc66cc;">3</span><span style="color: #339933;">;</span> <span style="color: #0000ff;">$i</span> <span style="color: #339933;">&lt;=</span> <span style="color: #cc66cc;">32000</span><span style="color: #339933;">;</span> <span style="color: #0000ff;">$i</span><span style="color: #339933;">+=</span>2<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
    <span style="color: #0000ff;">$isprime</span> <span style="color: #339933;">=</span> <span style="color: #cc66cc;">1</span><span style="color: #339933;">;</span>
    <span style="color: #0000ff;">$cap</span> <span style="color: #339933;">=</span> <a href="http://perldoc.perl.org/functions/sqrt.html"><span style="color: #000066;">sqrt</span></a><span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$i</span><span style="color: #009900;">&#41;</span> <span style="color: #339933;">+</span> <span style="color: #cc66cc;">1</span><span style="color: #339933;">;</span>
    <span style="color: #b1b100;">foreach</span> <span style="color: #0000ff;">$p</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">@primes</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
        <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$p</span> <span style="color: #339933;">&gt;=</span> <span style="color: #0000ff;">$cap</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span> 
            <span style="color: #b1b100;">last</span><span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span>
        <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$i</span> <span style="color: #339933;">%</span> <span style="color: #0000ff;">$p</span> <span style="color: #339933;">==</span> 0<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #0000ff;">$isprime</span> <span style="color: #339933;">=</span> <span style="color: #cc66cc;">0</span><span style="color: #339933;">;</span>
            <span style="color: #b1b100;">last</span><span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span>
    <span style="color: #009900;">&#125;</span>
    <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$isprime</span> <span style="color: #339933;">==</span> 1<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
        <a href="http://perldoc.perl.org/functions/push.html"><span style="color: #000066;">push</span></a><span style="color: #009900;">&#40;</span><span style="color: #0000ff;">@primes</span><span style="color: #339933;">,</span><span style="color: #0000ff;">$i</span><span style="color: #009900;">&#41;</span>
    <span style="color: #009900;">&#125;</span>
<span style="color: #009900;">&#125;</span>
&nbsp;
&nbsp;
<span style="color: #0000ff;">$T</span> <span style="color: #339933;">=</span> <span style="color: #009999;">&lt;STDIN&gt;</span><span style="color: #339933;">;</span>
&nbsp;
<span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$t</span> <span style="color: #339933;">=</span> <span style="color: #cc66cc;">0</span><span style="color: #339933;">;</span> <span style="color: #0000ff;">$t</span> <span style="color: #339933;">&lt;</span> <span style="color: #0000ff;">$T</span><span style="color: #339933;">;</span> <span style="color: #0000ff;">$t</span><span style="color: #339933;">++</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
    <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$t</span> <span style="color: #339933;">&gt;</span> 0<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
        <a href="http://perldoc.perl.org/functions/print.html"><span style="color: #000066;">print</span></a> <span style="color: #ff0000;">&quot;&quot;</span><span style="color: #339933;">;</span>
    <span style="color: #009900;">&#125;</span>
&nbsp;
    <span style="color: #0000ff;">$in</span> <span style="color: #339933;">=</span> <span style="color: #009999;">&lt;STDIN&gt;</span><span style="color: #339933;">;</span>
    <span style="color: #0000ff;">@line</span> <span style="color: #339933;">=</span> <a href="http://perldoc.perl.org/functions/split.html"><span style="color: #000066;">split</span></a><span style="color: #009900;">&#40;</span><span style="color: #009966; font-style: italic;">/ /</span><span style="color: #339933;">,</span><span style="color: #0000ff;">$in</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
    <span style="color: #0000ff;">$M</span> <span style="color: #339933;">=</span> <span style="color: #0000ff;">$line</span><span style="color: #009900;">&#91;</span>0<span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
    <span style="color: #0000ff;">$N</span> <span style="color: #339933;">=</span> <span style="color: #0000ff;">$line</span><span style="color: #009900;">&#91;</span>1<span style="color: #009900;">&#93;</span><span style="color: #339933;">;</span>
&nbsp;
    <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$M</span> <span style="color: #339933;">&lt;</span> 2<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
        <span style="color: #0000ff;">$M</span> <span style="color: #339933;">=</span> <span style="color: #cc66cc;">2</span><span style="color: #339933;">;</span>
    <span style="color: #009900;">&#125;</span>
&nbsp;
    <span style="color: #0000ff;">$cap</span> <span style="color: #339933;">=</span> <a href="http://perldoc.perl.org/functions/sqrt.html"><span style="color: #000066;">sqrt</span></a><span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$N</span><span style="color: #009900;">&#41;</span> <span style="color: #339933;">+</span> <span style="color: #cc66cc;">1</span><span style="color: #339933;">;</span>
&nbsp;
    <span style="color: #0000ff;">@isprime</span> <span style="color: #339933;">=</span> <span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span>1<span style="color: #009900;">&#41;</span> x 100001<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
    <span style="color: #b1b100;">foreach</span> <span style="color: #0000ff;">$p</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">@primes</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
        <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$p</span> <span style="color: #339933;">&gt;=</span> <span style="color: #0000ff;">$cap</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #b1b100;">last</span><span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span>
&nbsp;
        <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$p</span> <span style="color: #339933;">&gt;=</span> <span style="color: #0000ff;">$M</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #0000ff;">$start</span> <span style="color: #339933;">=</span> <span style="color: #0000ff;">$p</span><span style="color: #339933;">*</span><span style="color: #cc66cc;">2</span><span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span> <span style="color: #b1b100;">else</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #0000ff;">$start</span> <span style="color: #339933;">=</span> <span style="color: #0000ff;">$M</span> <span style="color: #339933;">+</span> <span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$p</span> <span style="color: #339933;">-</span> <span style="color: #0000ff;">$M</span> <span style="color: #339933;">%</span> <span style="color: #0000ff;">$p</span><span style="color: #009900;">&#41;</span> <span style="color: #339933;">%</span> <span style="color: #0000ff;">$p</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span>
&nbsp;
        <span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$j</span> <span style="color: #339933;">=</span> <span style="color: #0000ff;">$start</span><span style="color: #339933;">;</span> <span style="color: #0000ff;">$j</span> <span style="color: #339933;">&lt;=</span> <span style="color: #0000ff;">$N</span><span style="color: #339933;">;</span> <span style="color: #0000ff;">$j</span> <span style="color: #339933;">+=</span> <span style="color: #0000ff;">$p</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <span style="color: #0000ff;">$isprime</span><span style="color: #009900;">&#91;</span><span style="color: #0000ff;">$j</span><span style="color: #339933;">-</span><span style="color: #0000ff;">$M</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> <span style="color: #cc66cc;">0</span><span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span>
    <span style="color: #009900;">&#125;</span>
&nbsp;
    <span style="color: #b1b100;">for</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$i</span> <span style="color: #339933;">=</span> <span style="color: #0000ff;">$M</span><span style="color: #339933;">;</span> <span style="color: #0000ff;">$i</span> <span style="color: #339933;">&lt;=</span> <span style="color: #0000ff;">$N</span><span style="color: #339933;">;</span> <span style="color: #0000ff;">$i</span><span style="color: #339933;">++</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
        <span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$isprime</span><span style="color: #009900;">&#91;</span><span style="color: #0000ff;">$i</span><span style="color: #339933;">-</span><span style="color: #0000ff;">$M</span><span style="color: #009900;">&#93;</span> <span style="color: #339933;">==</span> 1<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
            <a href="http://perldoc.perl.org/functions/print.html"><span style="color: #000066;">print</span></a> <span style="color: #ff0000;">&quot;$i<span style="color: #000099; font-weight: bold;">\n</span>&quot;</span><span style="color: #339933;">;</span>
        <span style="color: #009900;">&#125;</span>
    <span style="color: #009900;">&#125;</span>
<span style="color: #009900;">&#125;</span></pre></td></tr></table></div>


<p><strong>C#</strong></p>


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</pre></td><td class="code" id="p47code33"><pre class="csharp" style="font-family:monospace;"><span style="color: #008080; font-style: italic;">// PRIME1 - C# (gmcs)</span>
<span style="color: #008080; font-style: italic;">// AC Time: 1.50s</span>
&nbsp;
<span style="color: #0600FF;">using</span> <span style="color: #008080;">System</span><span style="color: #008000;">;</span>
<span style="color: #FF0000;">class</span> PRIME1 <span style="color: #000000;">&#123;</span>
    <span style="color: #0600FF;">static</span> <span style="color: #0600FF;">void</span> Main<span style="color: #000000;">&#40;</span><span style="color: #000000;">&#41;</span> <span style="color: #000000;">&#123;</span>
&nbsp;
        <span style="color: #FF0000;">int</span><span style="color: #000000;">&#91;</span><span style="color: #000000;">&#93;</span> primes <span style="color: #008000;">=</span> <a href="http://www.google.com/search?q=new+msdn.microsoft.com"><span style="color: #008000;">new</span></a> <span style="color: #FF0000;">int</span><span style="color: #000000;">&#91;</span>4000<span style="color: #000000;">&#93;</span><span style="color: #008000;">;</span>
        <span style="color: #FF0000;">int</span> numprimes <span style="color: #008000;">=</span> <span style="color: #FF0000;">0</span><span style="color: #008000;">;</span>
&nbsp;
        primes<span style="color: #000000;">&#91;</span>numprimes<span style="color: #008000;">++</span><span style="color: #000000;">&#93;</span> <span style="color: #008000;">=</span> <span style="color: #FF0000;">2</span><span style="color: #008000;">;</span>
        <span style="color: #0600FF;">for</span> <span style="color: #000000;">&#40;</span><span style="color: #FF0000;">int</span> i <span style="color: #008000;">=</span> <span style="color: #FF0000;">3</span><span style="color: #008000;">;</span> i <span style="color: #008000;">&lt;=</span> <span style="color: #FF0000;">32000</span><span style="color: #008000;">;</span> i<span style="color: #008000;">+=</span>2<span style="color: #000000;">&#41;</span> <span style="color: #000000;">&#123;</span>
            <span style="color: #FF0000;">bool</span> isprime <span style="color: #008000;">=</span> true<span style="color: #008000;">;</span>
            <span style="color: #FF0000;">double</span> cap <span style="color: #008000;">=</span> Math.<span style="color: #0000FF;">Sqrt</span><span style="color: #000000;">&#40;</span>i<span style="color: #000000;">&#41;</span> <span style="color: #008000;">+</span> <span style="color: #FF0000;">1.0</span><span style="color: #008000;">;</span>
            <span style="color: #0600FF;">for</span> <span style="color: #000000;">&#40;</span><span style="color: #FF0000;">int</span> j <span style="color: #008000;">=</span> <span style="color: #FF0000;">0</span><span style="color: #008000;">;</span> j <span style="color: #008000;">&lt;</span> numprimes<span style="color: #008000;">;</span> j<span style="color: #008000;">++</span><span style="color: #000000;">&#41;</span> <span style="color: #000000;">&#123;</span>
                <span style="color: #0600FF;">if</span> <span style="color: #000000;">&#40;</span>j <span style="color: #008000;">&gt;=</span> cap<span style="color: #000000;">&#41;</span> break<span style="color: #008000;">;</span>
                <span style="color: #0600FF;">if</span> <span style="color: #000000;">&#40;</span>i <span style="color: #008000;">%</span> primes<span style="color: #000000;">&#91;</span>j<span style="color: #000000;">&#93;</span> <span style="color: #008000;">==</span> 0<span style="color: #000000;">&#41;</span> <span style="color: #000000;">&#123;</span>
                    isprime <span style="color: #008000;">=</span> false<span style="color: #008000;">;</span>
                    break<span style="color: #008000;">;</span>
                <span style="color: #000000;">&#125;</span>
            <span style="color: #000000;">&#125;</span>
            <span style="color: #0600FF;">if</span> <span style="color: #000000;">&#40;</span>isprime<span style="color: #000000;">&#41;</span> primes<span style="color: #000000;">&#91;</span>numprimes<span style="color: #008000;">++</span><span style="color: #000000;">&#93;</span> <span style="color: #008000;">=</span> i<span style="color: #008000;">;</span>
        <span style="color: #000000;">&#125;</span>
&nbsp;
        <span style="color: #FF0000;">int</span> T,N,M<span style="color: #008000;">;</span>
        T <span style="color: #008000;">=</span> <span style="color: #FF0000;">int</span>.<span style="color: #0000FF;">Parse</span><span style="color: #000000;">&#40;</span>Console.<span style="color: #0000FF;">ReadLine</span><span style="color: #000000;">&#40;</span><span style="color: #000000;">&#41;</span><span style="color: #000000;">&#41;</span><span style="color: #008000;">;</span>
&nbsp;
        <span style="color: #0600FF;">for</span> <span style="color: #000000;">&#40;</span><span style="color: #FF0000;">int</span> t <span style="color: #008000;">=</span> <span style="color: #FF0000;">0</span><span style="color: #008000;">;</span> t <span style="color: #008000;">&lt;</span> T<span style="color: #008000;">;</span> t<span style="color: #008000;">++</span><span style="color: #000000;">&#41;</span> <span style="color: #000000;">&#123;</span>
            <span style="color: #0600FF;">if</span> <span style="color: #000000;">&#40;</span>t <span style="color: #008000;">&gt;</span> <span style="color: #FF0000;">0</span><span style="color: #000000;">&#41;</span> Console.<span style="color: #0000FF;">WriteLine</span><span style="color: #000000;">&#40;</span><span style="color: #666666;">&quot;&quot;</span><span style="color: #000000;">&#41;</span><span style="color: #008000;">;</span>
&nbsp;
            <span style="color: #FF0000;">string</span><span style="color: #000000;">&#91;</span><span style="color: #000000;">&#93;</span> parts <span style="color: #008000;">=</span> Console.<span style="color: #0000FF;">ReadLine</span><span style="color: #000000;">&#40;</span><span style="color: #000000;">&#41;</span>.<span style="color: #0000FF;">Split</span><span style="color: #000000;">&#40;</span><span style="color: #666666;">' '</span><span style="color: #000000;">&#41;</span><span style="color: #008000;">;</span>
            M <span style="color: #008000;">=</span> <span style="color: #FF0000;">int</span>.<span style="color: #0000FF;">Parse</span><span style="color: #000000;">&#40;</span>parts<span style="color: #000000;">&#91;</span>0<span style="color: #000000;">&#93;</span><span style="color: #000000;">&#41;</span><span style="color: #008000;">;</span>
            N <span style="color: #008000;">=</span> <span style="color: #FF0000;">int</span>.<span style="color: #0000FF;">Parse</span><span style="color: #000000;">&#40;</span>parts<span style="color: #000000;">&#91;</span>1<span style="color: #000000;">&#93;</span><span style="color: #000000;">&#41;</span><span style="color: #008000;">;</span>
&nbsp;
&nbsp;
            <span style="color: #0600FF;">if</span> <span style="color: #000000;">&#40;</span>M <span style="color: #008000;">&lt;</span> 2<span style="color: #000000;">&#41;</span> M <span style="color: #008000;">=</span> <span style="color: #FF0000;">2</span><span style="color: #008000;">;</span>
            <span style="color: #FF0000;">double</span> cap <span style="color: #008000;">=</span> Math.<span style="color: #0000FF;">Sqrt</span><span style="color: #000000;">&#40;</span>N<span style="color: #000000;">&#41;</span><span style="color: #008000;">+</span><span style="color: #FF0000;">1</span><span style="color: #008000;">;</span>
&nbsp;
            <span style="color: #FF0000;">bool</span><span style="color: #000000;">&#91;</span><span style="color: #000000;">&#93;</span> isprime <span style="color: #008000;">=</span> <a href="http://www.google.com/search?q=new+msdn.microsoft.com"><span style="color: #008000;">new</span></a> <span style="color: #FF0000;">bool</span><span style="color: #000000;">&#91;</span>100001<span style="color: #000000;">&#93;</span><span style="color: #008000;">;</span>
            <span style="color: #0600FF;">for</span> <span style="color: #000000;">&#40;</span><span style="color: #FF0000;">int</span> i <span style="color: #008000;">=</span> <span style="color: #FF0000;">0</span><span style="color: #008000;">;</span> i <span style="color: #008000;">&lt;</span> <span style="color: #FF0000;">100001</span><span style="color: #008000;">;</span> i<span style="color: #008000;">++</span><span style="color: #000000;">&#41;</span> isprime<span style="color: #000000;">&#91;</span>i<span style="color: #000000;">&#93;</span> <span style="color: #008000;">=</span> true<span style="color: #008000;">;</span>
&nbsp;
            <span style="color: #0600FF;">for</span> <span style="color: #000000;">&#40;</span><span style="color: #FF0000;">int</span> i <span style="color: #008000;">=</span> <span style="color: #FF0000;">0</span><span style="color: #008000;">;</span> i <span style="color: #008000;">&lt;</span> numprimes<span style="color: #008000;">;</span> i<span style="color: #008000;">++</span><span style="color: #000000;">&#41;</span> <span style="color: #000000;">&#123;</span>
                <span style="color: #FF0000;">int</span> p <span style="color: #008000;">=</span> primes<span style="color: #000000;">&#91;</span>i<span style="color: #000000;">&#93;</span><span style="color: #008000;">;</span>
                <span style="color: #0600FF;">if</span> <span style="color: #000000;">&#40;</span>p <span style="color: #008000;">&gt;=</span> cap<span style="color: #000000;">&#41;</span> break<span style="color: #008000;">;</span>
                <span style="color: #FF0000;">int</span> start<span style="color: #008000;">;</span>
&nbsp;
&nbsp;
                <span style="color: #0600FF;">if</span> <span style="color: #000000;">&#40;</span>p <span style="color: #008000;">&gt;=</span> M<span style="color: #000000;">&#41;</span> start <span style="color: #008000;">=</span> p<span style="color: #008000;">*</span><span style="color: #FF0000;">2</span><span style="color: #008000;">;</span>
                <span style="color: #0600FF;">else</span> start <span style="color: #008000;">=</span> M <span style="color: #008000;">+</span> <span style="color: #000000;">&#40;</span><span style="color: #000000;">&#40;</span>p <span style="color: #008000;">-</span> M <span style="color: #008000;">%</span> p<span style="color: #000000;">&#41;</span><span style="color: #008000;">%</span>p<span style="color: #000000;">&#41;</span><span style="color: #008000;">;</span>
&nbsp;
                <span style="color: #0600FF;">for</span> <span style="color: #000000;">&#40;</span><span style="color: #FF0000;">int</span> j <span style="color: #008000;">=</span> start<span style="color: #008000;">;</span> j <span style="color: #008000;">&lt;=</span> N<span style="color: #008000;">;</span> j<span style="color: #008000;">+=</span> p<span style="color: #000000;">&#41;</span> <span style="color: #000000;">&#123;</span>
                    isprime<span style="color: #000000;">&#91;</span>j <span style="color: #008000;">-</span> M<span style="color: #000000;">&#93;</span> <span style="color: #008000;">=</span> false<span style="color: #008000;">;</span>
                <span style="color: #000000;">&#125;</span>
            <span style="color: #000000;">&#125;</span>
&nbsp;
            <span style="color: #0600FF;">for</span> <span style="color: #000000;">&#40;</span><span style="color: #FF0000;">int</span> i <span style="color: #008000;">=</span> M<span style="color: #008000;">;</span> i <span style="color: #008000;">&lt;=</span> N<span style="color: #008000;">;</span> i<span style="color: #008000;">++</span><span style="color: #000000;">&#41;</span> <span style="color: #000000;">&#123;</span>
                <span style="color: #0600FF;">if</span> <span style="color: #000000;">&#40;</span>isprime<span style="color: #000000;">&#91;</span>i<span style="color: #008000;">-</span>M<span style="color: #000000;">&#93;</span> <span style="color: #008000;">==</span> <span style="color: #0600FF;">true</span><span style="color: #000000;">&#41;</span> Console.<span style="color: #0000FF;">WriteLine</span><span style="color: #000000;">&#40;</span>i<span style="color: #000000;">&#41;</span><span style="color: #008000;">;</span>
            <span style="color: #000000;">&#125;</span>
        <span style="color: #000000;">&#125;</span>
    <span style="color: #000000;">&#125;</span>
<span style="color: #000000;">&#125;</span></pre></td></tr></table></div>


<p><strong>GNU Pascal</strong></p>


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</pre></td><td class="code" id="p47code34"><pre class="pascal" style="font-family:monospace;"><span style="color: #666666; font-style: italic;">{ 
    PRIME1 - GNU Pascal
    AC Time: 0.54
}</span>
&nbsp;
<span style="color: #000000; font-weight: bold;">program</span> PRIME1;
<span style="color: #000000; font-weight: bold;">var</span>
    primes<span style="color: #339933;">:</span> <span style="color: #000066; font-weight: bold;">array</span><span style="color: #009900;">&#91;</span>1..4000<span style="color: #009900;">&#93;</span> <span style="color: #000000; font-weight: bold;">of</span> <span style="color: #000066; font-weight: bold;">integer</span>;
    numprimes<span style="color: #339933;">:</span> <span style="color: #000066; font-weight: bold;">integer</span>;
    i<span style="color: #339933;">,</span>j<span style="color: #339933;">:</span> <span style="color: #000066; font-weight: bold;">integer</span>;
    cap<span style="color: #339933;">:</span> double;
    isprime<span style="color: #339933;">:</span> <span style="color: #000066; font-weight: bold;">boolean</span>;
    T<span style="color: #339933;">,</span>N<span style="color: #339933;">,</span>M<span style="color: #339933;">:</span> <span style="color: #000066; font-weight: bold;">integer</span>;
    isp<span style="color: #339933;">:</span> <span style="color: #000066; font-weight: bold;">array</span><span style="color: #009900;">&#91;</span>0..100001<span style="color: #009900;">&#93;</span> <span style="color: #000000; font-weight: bold;">of</span> <span style="color: #000066; font-weight: bold;">boolean</span>;
    p<span style="color: #339933;">,</span>start<span style="color: #339933;">:</span> <span style="color: #000066; font-weight: bold;">integer</span>;
&nbsp;
&nbsp;
<span style="color: #000000; font-weight: bold;">begin</span>
    primes<span style="color: #009900;">&#91;</span>1<span style="color: #009900;">&#93;</span> <span style="color: #339933;">:=</span> <span style="color: #cc66cc;">2</span>;
    numprimes <span style="color: #339933;">:=</span> <span style="color: #cc66cc;">1</span>;
    <span style="color: #000000; font-weight: bold;">for</span> i <span style="color: #339933;">:=</span> 3 <span style="color: #000000; font-weight: bold;">to</span> 32000 <span style="color: #000000; font-weight: bold;">do</span>
    <span style="color: #000000; font-weight: bold;">begin</span>
        isprime <span style="color: #339933;">:=</span> <span style="color: #000000; font-weight: bold;">true</span>;
        cap <span style="color: #339933;">:=</span> <span style="color: #000066;">sqrt</span><span style="color: #009900;">&#40;</span>i<span style="color: #009900;">&#41;</span> <span style="color: #339933;">+</span> <span style="color: #cc66cc;">1</span>;
        <span style="color: #000000; font-weight: bold;">for</span> j <span style="color: #339933;">:=</span> 1 <span style="color: #000000; font-weight: bold;">to</span> numprimes <span style="color: #000000; font-weight: bold;">do</span>
        <span style="color: #000000; font-weight: bold;">begin</span>
            <span style="color: #000000; font-weight: bold;">if</span> primes<span style="color: #009900;">&#91;</span>j<span style="color: #009900;">&#93;</span> &gt;<span style="color: #339933;">=</span> cap <span style="color: #000000; font-weight: bold;">then</span> 
                    <span style="color: #000000; font-weight: bold;">break</span>;
&nbsp;
            <span style="color: #000000; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>i <span style="color: #000000; font-weight: bold;">MOD</span> primes<span style="color: #009900;">&#91;</span>j<span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> 0<span style="color: #009900;">&#41;</span> <span style="color: #000000; font-weight: bold;">then</span>
            <span style="color: #000000; font-weight: bold;">begin</span>
                isprime <span style="color: #339933;">:=</span> <span style="color: #000000; font-weight: bold;">false</span>;
                <span style="color: #000000; font-weight: bold;">break</span>;
            <span style="color: #000000; font-weight: bold;">end</span>
        <span style="color: #000000; font-weight: bold;">end</span>;
&nbsp;
        <span style="color: #000000; font-weight: bold;">if</span> isprime <span style="color: #339933;">=</span> <span style="color: #000000; font-weight: bold;">true</span> <span style="color: #000000; font-weight: bold;">then</span> 
        <span style="color: #000000; font-weight: bold;">begin</span>
            numprimes <span style="color: #339933;">:=</span> numprimes <span style="color: #339933;">+</span> <span style="color: #cc66cc;">1</span>;
            primes<span style="color: #009900;">&#91;</span>numprimes<span style="color: #009900;">&#93;</span> <span style="color: #339933;">:=</span> i
        <span style="color: #000000; font-weight: bold;">end</span>
    <span style="color: #000000; font-weight: bold;">end</span>;
&nbsp;
    <span style="color: #000066;">read</span><span style="color: #009900;">&#40;</span>T<span style="color: #009900;">&#41;</span>;
&nbsp;
    <span style="color: #000000; font-weight: bold;">for</span> t <span style="color: #339933;">:=</span> 1 <span style="color: #000000; font-weight: bold;">to</span> T <span style="color: #000000; font-weight: bold;">do</span>
    <span style="color: #000000; font-weight: bold;">begin</span>
        <span style="color: #000000; font-weight: bold;">if</span> t &gt; 0 <span style="color: #000000; font-weight: bold;">then</span>
            <span style="color: #000066;">writeln</span><span style="color: #009900;">&#40;</span><span style="color: #ff0000;">''</span><span style="color: #009900;">&#41;</span>;
&nbsp;
        <span style="color: #000066;">read</span><span style="color: #009900;">&#40;</span>M<span style="color: #009900;">&#41;</span>;
        <span style="color: #000066;">read</span><span style="color: #009900;">&#40;</span>N<span style="color: #009900;">&#41;</span>;
&nbsp;
        <span style="color: #000000; font-weight: bold;">if</span> M &lt; 2 <span style="color: #000000; font-weight: bold;">then</span>
            M <span style="color: #339933;">:=</span> <span style="color: #cc66cc;">2</span>;
&nbsp;
        cap <span style="color: #339933;">:=</span> <span style="color: #000066;">sqrt</span><span style="color: #009900;">&#40;</span>N<span style="color: #009900;">&#41;</span> <span style="color: #339933;">+</span> <span style="color: #cc66cc;">1</span>;
&nbsp;
        <span style="color: #000000; font-weight: bold;">for</span> i <span style="color: #339933;">:=</span> 0 <span style="color: #000000; font-weight: bold;">to</span> 100001 <span style="color: #000000; font-weight: bold;">do</span>
            isp<span style="color: #009900;">&#91;</span>i<span style="color: #009900;">&#93;</span> <span style="color: #339933;">:=</span> <span style="color: #000000; font-weight: bold;">true</span>;
&nbsp;
&nbsp;
        <span style="color: #000000; font-weight: bold;">for</span> i <span style="color: #339933;">:=</span> 1 <span style="color: #000000; font-weight: bold;">to</span> numprimes <span style="color: #000000; font-weight: bold;">do</span>
        <span style="color: #000000; font-weight: bold;">begin</span>
            p <span style="color: #339933;">:=</span> primes<span style="color: #009900;">&#91;</span>i<span style="color: #009900;">&#93;</span>;            
            <span style="color: #000000; font-weight: bold;">if</span> p &gt;<span style="color: #339933;">=</span> cap <span style="color: #000000; font-weight: bold;">then</span> 
                <span style="color: #000000; font-weight: bold;">break</span>;
&nbsp;
            <span style="color: #000000; font-weight: bold;">if</span> p &gt;<span style="color: #339933;">=</span> M <span style="color: #000000; font-weight: bold;">then</span>
                start <span style="color: #339933;">:=</span> <span style="color: #009900;">&#40;</span>p <span style="color: #339933;">*</span> 2<span style="color: #009900;">&#41;</span>;
&nbsp;
            <span style="color: #000000; font-weight: bold;">if</span> p &lt; M <span style="color: #000000; font-weight: bold;">then</span>
                start <span style="color: #339933;">:=</span> M <span style="color: #339933;">+</span> <span style="color: #009900;">&#40;</span><span style="color: #009900;">&#40;</span>p <span style="color: #339933;">-</span> <span style="color: #009900;">&#40;</span>M <span style="color: #000000; font-weight: bold;">MOD</span> p<span style="color: #009900;">&#41;</span><span style="color: #009900;">&#41;</span> <span style="color: #000000; font-weight: bold;">MOD</span> p<span style="color: #009900;">&#41;</span>;
&nbsp;
            j <span style="color: #339933;">:=</span> start;
&nbsp;
            <span style="color: #000000; font-weight: bold;">while</span> j &lt;<span style="color: #339933;">=</span> N <span style="color: #000000; font-weight: bold;">do</span>
            <span style="color: #000000; font-weight: bold;">begin</span>
                isp<span style="color: #009900;">&#91;</span>j <span style="color: #339933;">-</span> M<span style="color: #009900;">&#93;</span> <span style="color: #339933;">:=</span> <span style="color: #000000; font-weight: bold;">false</span>;
                j <span style="color: #339933;">:=</span> j <span style="color: #339933;">+</span> p;
            <span style="color: #000000; font-weight: bold;">end</span>;
        <span style="color: #000000; font-weight: bold;">end</span>;
&nbsp;
        <span style="color: #000000; font-weight: bold;">for</span> i <span style="color: #339933;">:=</span> M <span style="color: #000000; font-weight: bold;">to</span> N <span style="color: #000000; font-weight: bold;">do</span>
        <span style="color: #000000; font-weight: bold;">begin</span>
            <span style="color: #000000; font-weight: bold;">if</span> isp<span style="color: #009900;">&#91;</span>i<span style="color: #339933;">-</span>M<span style="color: #009900;">&#93;</span> <span style="color: #339933;">=</span> <span style="color: #000000; font-weight: bold;">true</span> <span style="color: #000000; font-weight: bold;">then</span>
                <span style="color: #000066;">writeln</span><span style="color: #009900;">&#40;</span>i<span style="color: #009900;">&#41;</span>;
        <span style="color: #000000; font-weight: bold;">end</span>;
    <span style="color: #000000; font-weight: bold;">end</span>;
<span style="color: #000000; font-weight: bold;">end</span>.</pre></td></tr></table></div>

]]></content:encoded>
			<wfw:commentRss>http://jamie-wong.com/2009/11/12/spoj-problem-2-prime-generator/feed/</wfw:commentRss>
		<slash:comments>4</slash:comments>
		</item>
		<item>
		<title>SPOJ Problem 1</title>
		<link>http://jamie-wong.com/2009/11/08/spoj-problem-1/</link>
		<comments>http://jamie-wong.com/2009/11/08/spoj-problem-1/#comments</comments>
		<pubDate>Sun, 08 Nov 2009 17:55:10 +0000</pubDate>
		<dc:creator>Jamie Wong</dc:creator>
				<category><![CDATA[SPOJ]]></category>
		<category><![CDATA[bash]]></category>
		<category><![CDATA[c++]]></category>
		<category><![CDATA[c99]]></category>
		<category><![CDATA[java]]></category>
		<category><![CDATA[pascal]]></category>
		<category><![CDATA[perl]]></category>
		<category><![CDATA[php]]></category>
		<category><![CDATA[prime]]></category>
		<category><![CDATA[python]]></category>
		<category><![CDATA[ruby]]></category>

		<guid isPermaLink="false">http://jamie-wong.com/me/?p=41</guid>
		<description><![CDATA[When I saw that Thor had done solutions to the first few problems of Project Euler in many many languages, I thought "Hey! That's a good idea!" but didn't want to copy exactly. So instead I'm doing solutions to some problems on SPOJ. SPOJ is an online judge system full of algorithmic problems. This is [...]]]></description>
			<content:encoded><![CDATA[<p>When I saw that Thor had done solutions to the first few problems of Project Euler in many many languages, I thought "Hey! That's a good idea!" but didn't want to copy exactly.</p>

<p>So instead I'm doing solutions to some problems on SPOJ.
SPOJ is an online judge system full of algorithmic problems. This is one of the things that <a href="http://www.topcoder.com/tc?module=MemberProfile&#038;cr=22664055&#038;tab=hs">Hanson Wang</a> did to get as good as he is. The solutions I'll be providing here are going to be very simple problems, so don't expect any magic. The beautiful thing about SPOJ is the sheer number of languages it will judge. I figured this was the perfect playground to make sure my code worked in all the languages I try.</p>

<p>Problem: <a href="http://www.spoj.pl/problems/TEST/"> Life, the Universe, and Everything</a></p>

<blockquote>
Your program is to use the brute-force approach in order to find the Answer to Life, the Universe, and Everything. More precisely... rewrite small numbers from input to output. Stop processing input after reading in the number 42. All numbers at input are integers of one or two digits.
</blockquote>

<p>Solutions - In order of frequency that I use the language</p>

<p><strong>C++</strong></p>


<div class="wp_codebox"><table style='width:99%;margin:0px;border:0;' ><tr id="p4145"><td class="line_numbers"><pre>1
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</pre></td><td class="code" id="p41code45"><pre class="cpp" style="font-family:monospace;"><span style="color: #666666;">//TEST AC - CPP (g++)</span>
<span style="color: #339900;">#include &lt;iostream&gt;</span>
<span style="color: #0000ff;">using</span> <span style="color: #0000ff;">namespace</span> std<span style="color: #008080;">;</span>
&nbsp;
<span style="color: #0000ff;">int</span> main<span style="color: #008000;">&#40;</span><span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
	<span style="color: #0000ff;">int</span> n<span style="color: #008080;">;</span>
	<span style="color: #0000ff;">while</span><span style="color: #008000;">&#40;</span>1<span style="color: #008000;">&#41;</span> <span style="color: #008000;">&#123;</span>
		<span style="color: #0000dd;">cin</span> <span style="color: #000080;">&gt;&gt;</span> n<span style="color: #008080;">;</span>
		<span style="color: #0000ff;">if</span> <span style="color: #008000;">&#40;</span>n <span style="color: #000080;">==</span> 42<span style="color: #008000;">&#41;</span> <span style="color: #0000ff;">break</span><span style="color: #008080;">;</span>
		<span style="color: #0000dd;">cout</span> <span style="color: #000080;">&lt;&lt;</span> n <span style="color: #000080;">&lt;&lt;</span> endl<span style="color: #008080;">;</span>
	<span style="color: #008000;">&#125;</span>
	<span style="color: #0000ff;">return</span> <span style="color: #0000dd;">0</span><span style="color: #008080;">;</span>
<span style="color: #008000;">&#125;</span></pre></td></tr></table></div>


<p><strong>C99</strong></p>


<div class="wp_codebox"><table style='width:99%;margin:0px;border:0;' ><tr id="p4146"><td class="line_numbers"><pre>1
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</pre></td><td class="code" id="p41code46"><pre class="c" style="font-family:monospace;"><span style="color: #666666; font-style: italic;">//TEST AC - (gcc C99)</span>
<span style="color: #339933;">#include &lt;stdio.h&gt;</span>
<span style="color: #993333;">int</span> main<span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
	<span style="color: #993333;">int</span> n<span style="color: #339933;">;</span>
	<span style="color: #b1b100;">while</span><span style="color: #009900;">&#40;</span><span style="color: #0000dd;">1</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		scanf<span style="color: #009900;">&#40;</span><span style="color: #ff0000;">&quot;%d&quot;</span><span style="color: #339933;">,&amp;</span>n<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span>n <span style="color: #339933;">==</span> 42<span style="color: #009900;">&#41;</span> <span style="color: #000000; font-weight: bold;">break</span><span style="color: #339933;">;</span>
		<a href="http://www.opengroup.org/onlinepubs/009695399/functions/printf.html"><span style="color: #000066;">printf</span></a><span style="color: #009900;">&#40;</span><span style="color: #ff0000;">&quot;%d<span style="color: #000099; font-weight: bold;">\n</span>&quot;</span><span style="color: #339933;">,</span>n<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
	<span style="color: #b1b100;">return</span> <span style="color: #0000dd;">0</span><span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span></pre></td></tr></table></div>


<p><strong>php</strong></p>


<div class="wp_codebox"><table style='width:99%;margin:0px;border:0;' ><tr id="p4147"><td class="line_numbers"><pre>1
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</pre></td><td class="code" id="p41code47"><pre class="php" style="font-family:monospace;"><span style="color: #000000; font-weight: bold;">&lt;?</span>
<span style="color: #666666; font-style: italic;">//TEST AC - PHP</span>
<span style="color: #b1b100;">while</span><span style="color: #009900;">&#40;</span>1<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
	<a href="http://www.php.net/fscanf"><span style="color: #990000;">fscanf</span></a><span style="color: #009900;">&#40;</span>STDIN<span style="color: #339933;">,</span><span style="color: #0000ff;">&quot;<span style="color: #009933; font-weight: bold;">%d</span>&quot;</span><span style="color: #339933;">,</span><span style="color: #000088;">$n</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
	<span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #000088;">$n</span> <span style="color: #339933;">==</span> 42<span style="color: #009900;">&#41;</span> <span style="color: #b1b100;">break</span><span style="color: #339933;">;</span>
	<span style="color: #b1b100;">print</span> <span style="color: #0000ff;">&quot;<span style="color: #006699; font-weight: bold;">$n</span><span style="color: #000099; font-weight: bold;">\n</span>&quot;</span><span style="color: #339933;">;</span>
<span style="color: #009900;">&#125;</span>
<span style="color: #000000; font-weight: bold;">?&gt;</span></pre></td></tr></table></div>


<p><strong>Python</strong></p>


<div class="wp_codebox"><table style='width:99%;margin:0px;border:0;' ><tr id="p4148"><td class="line_numbers"><pre>1
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</pre></td><td class="code" id="p41code48"><pre class="python" style="font-family:monospace;"><span style="color: #808080; font-style: italic;">#TEST AC - Python</span>
<span style="color: #ff7700;font-weight:bold;">while</span> 1:
	num = <span style="color: #008000;">input</span><span style="color: black;">&#40;</span><span style="color: black;">&#41;</span>
	<span style="color: #ff7700;font-weight:bold;">if</span> <span style="color: black;">&#40;</span>num == 42<span style="color: black;">&#41;</span>:
		<span style="color: #ff7700;font-weight:bold;">break</span>
	<span style="color: #ff7700;font-weight:bold;">print</span> num</pre></td></tr></table></div>


<p><strong>Bash</strong></p>


<div class="wp_codebox"><table style='width:99%;margin:0px;border:0;' ><tr id="p4149"><td class="line_numbers"><pre>1
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</pre></td><td class="code" id="p41code49"><pre class="bash" style="font-family:monospace;"><span style="color: #666666; font-style: italic;">#!/bin/bash</span>
<span style="color: #666666; font-style: italic;"># TEST AC - BASH</span>
&nbsp;
<span style="color: #000000; font-weight: bold;">while</span> <span style="color: #c20cb9; font-weight: bold;">true</span>; <span style="color: #000000; font-weight: bold;">do</span>
	<span style="color: #c20cb9; font-weight: bold;">read</span> n
	<span style="color: #000000; font-weight: bold;">if</span> <span style="color: #7a0874; font-weight: bold;">&#91;</span> <span style="color: #007800;">$n</span> <span style="color: #660033;">-eq</span> 42 <span style="color: #7a0874; font-weight: bold;">&#93;</span>; <span style="color: #000000; font-weight: bold;">then</span>
		<span style="color: #7a0874; font-weight: bold;">break</span>
	<span style="color: #000000; font-weight: bold;">fi</span>
	<span style="color: #7a0874; font-weight: bold;">echo</span> <span style="color: #ff0000;">&quot;<span style="color: #007800;">$n</span>&quot;</span>
<span style="color: #000000; font-weight: bold;">done</span></pre></td></tr></table></div>


<p><strong>Ruby</strong></p>


<div class="wp_codebox"><table style='width:99%;margin:0px;border:0;' ><tr id="p4150"><td class="line_numbers"><pre>1
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</pre></td><td class="code" id="p41code50"><pre class="ruby" style="font-family:monospace;"><span style="color:#008000; font-style:italic;">#TEST AC - Ruby</span>
<span style="color:#9966CC; font-weight:bold;">while</span> 1
	n = <span style="color:#CC0066; font-weight:bold;">gets</span>.<span style="color:#9900CC;">to_i</span>
	<span style="color:#9966CC; font-weight:bold;">if</span> n == 42
		<span style="color:#9966CC; font-weight:bold;">break</span>
	<span style="color:#9966CC; font-weight:bold;">end</span>
	<span style="color:#CC0066; font-weight:bold;">puts</span> n
<span style="color:#9966CC; font-weight:bold;">end</span></pre></td></tr></table></div>


<p><strong>Java</strong></p>


<div class="wp_codebox"><table style='width:99%;margin:0px;border:0;' ><tr id="p4151"><td class="line_numbers"><pre>1
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</pre></td><td class="code" id="p41code51"><pre class="java" style="font-family:monospace;"><span style="color: #666666; font-style: italic;">//TEST AC - Java</span>
<span style="color: #000000; font-weight: bold;">import</span> <span style="color: #006699;">java.io.*</span><span style="color: #339933;">;</span>
<span style="color: #000000; font-weight: bold;">import</span> <span style="color: #006699;">java.util.*</span><span style="color: #339933;">;</span>
&nbsp;
<span style="color: #000000; font-weight: bold;">public</span> <span style="color: #000000; font-weight: bold;">class</span> Main <span style="color: #009900;">&#123;</span>
	<span style="color: #000000; font-weight: bold;">public</span> <span style="color: #000000; font-weight: bold;">static</span> <span style="color: #000066; font-weight: bold;">void</span> main<span style="color: #009900;">&#40;</span><a href="http://www.google.com/search?hl=en&amp;q=allinurl%3Astring+java.sun.com&amp;btnI=I%27m%20Feeling%20Lucky"><span style="color: #003399;">String</span></a><span style="color: #009900;">&#91;</span><span style="color: #009900;">&#93;</span> args<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		Scanner in <span style="color: #339933;">=</span> <span style="color: #000000; font-weight: bold;">new</span> Scanner<span style="color: #009900;">&#40;</span><a href="http://www.google.com/search?hl=en&amp;q=allinurl%3Asystem+java.sun.com&amp;btnI=I%27m%20Feeling%20Lucky"><span style="color: #003399;">System</span></a>.<span style="color: #006633;">in</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
&nbsp;
		<span style="color: #000000; font-weight: bold;">while</span><span style="color: #009900;">&#40;</span><span style="color: #000066; font-weight: bold;">true</span><span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
			<span style="color: #000066; font-weight: bold;">int</span> n <span style="color: #339933;">=</span> in.<span style="color: #006633;">nextInt</span><span style="color: #009900;">&#40;</span><span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
			<span style="color: #000000; font-weight: bold;">if</span> <span style="color: #009900;">&#40;</span>n <span style="color: #339933;">==</span> 42<span style="color: #009900;">&#41;</span> <span style="color: #000000; font-weight: bold;">break</span><span style="color: #339933;">;</span>
			<a href="http://www.google.com/search?hl=en&amp;q=allinurl%3Asystem+java.sun.com&amp;btnI=I%27m%20Feeling%20Lucky"><span style="color: #003399;">System</span></a>.<span style="color: #006633;">out</span>.<span style="color: #006633;">println</span><span style="color: #009900;">&#40;</span>n<span style="color: #009900;">&#41;</span><span style="color: #339933;">;</span>
		<span style="color: #009900;">&#125;</span>
	<span style="color: #009900;">&#125;</span>
<span style="color: #009900;">&#125;</span></pre></td></tr></table></div>


<p><strong>Perl</strong></p>


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</pre></td><td class="code" id="p41code52"><pre class="perl" style="font-family:monospace;"><span style="color: #666666; font-style: italic;">#TEST AC - Perl</span>
<span style="color: #b1b100;">while</span> <span style="color: #009900;">&#40;</span>1<span style="color: #009900;">&#41;</span>
<span style="color: #009900;">&#123;</span>
	<span style="color: #0000ff;">$n</span> <span style="color: #339933;">=</span> <span style="color: #009999;">&lt;STDIN&gt;</span><span style="color: #339933;">;</span>
	<span style="color: #b1b100;">if</span> <span style="color: #009900;">&#40;</span><span style="color: #0000ff;">$n</span> <span style="color: #339933;">==</span> 42<span style="color: #009900;">&#41;</span> <span style="color: #009900;">&#123;</span>
		<span style="color: #b1b100;">last</span><span style="color: #339933;">;</span>
	<span style="color: #009900;">&#125;</span>
	<a href="http://perldoc.perl.org/functions/print.html"><span style="color: #000066;">print</span></a> <span style="color: #0000ff;">$n</span>
<span style="color: #009900;">&#125;</span></pre></td></tr></table></div>


<p><strong>C#</strong></p>


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</pre></td><td class="code" id="p41code53"><pre class="csharp" style="font-family:monospace;"><span style="color: #008080; font-style: italic;">//TEST AC - C# (gmcs + Mono)</span>
<span style="color: #0600FF;">using</span> <span style="color: #008080;">System</span><span style="color: #008000;">;</span>
<span style="color: #FF0000;">class</span> WelcomeCSS <span style="color: #000000;">&#123;</span>
	<span style="color: #0600FF;">static</span> <span style="color: #0600FF;">void</span> Main<span style="color: #000000;">&#40;</span><span style="color: #000000;">&#41;</span> <span style="color: #000000;">&#123;</span>
		<span style="color: #0600FF;">while</span><span style="color: #000000;">&#40;</span><span style="color: #0600FF;">true</span><span style="color: #000000;">&#41;</span> <span style="color: #000000;">&#123;</span>
			<span style="color: #FF0000;">int</span> n<span style="color: #008000;">;</span>
			n <span style="color: #008000;">=</span> <span style="color: #FF0000;">int</span>.<span style="color: #0000FF;">Parse</span><span style="color: #000000;">&#40;</span>Console.<span style="color: #0000FF;">ReadLine</span><span style="color: #000000;">&#40;</span><span style="color: #000000;">&#41;</span><span style="color: #000000;">&#41;</span><span style="color: #008000;">;</span>
			<span style="color: #0600FF;">if</span> <span style="color: #000000;">&#40;</span>n <span style="color: #008000;">==</span> 42<span style="color: #000000;">&#41;</span> break<span style="color: #008000;">;</span>
			Console.<span style="color: #0000FF;">WriteLine</span><span style="color: #000000;">&#40;</span>n<span style="color: #000000;">&#41;</span><span style="color: #008000;">;</span>
		<span style="color: #000000;">&#125;</span>
	<span style="color: #000000;">&#125;</span>
<span style="color: #000000;">&#125;</span></pre></td></tr></table></div>


<p><strong>GNU Pascal</strong></p>


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</pre></td><td class="code" id="p41code54"><pre class="pascal" style="font-family:monospace;"><span style="color: #666666; font-style: italic;">{TEST AC - GPC Pascal}</span>
&nbsp;
<span style="color: #000000; font-weight: bold;">program</span> TEST;
&nbsp;
<span style="color: #000000; font-weight: bold;">var</span> n<span style="color: #339933;">:</span><span style="color: #000066; font-weight: bold;">integer</span>;
&nbsp;
<span style="color: #000000; font-weight: bold;">begin</span>
	<span style="color: #000000; font-weight: bold;">while</span> <span style="color: #000000; font-weight: bold;">true</span> <span style="color: #000000; font-weight: bold;">do</span>
		<span style="color: #000000; font-weight: bold;">begin</span>
			<span style="color: #000066;">readln</span><span style="color: #009900;">&#40;</span>n<span style="color: #009900;">&#41;</span>;
			<span style="color: #000000; font-weight: bold;">if</span> n <span style="color: #339933;">=</span> 42 <span style="color: #000000; font-weight: bold;">then</span> <span style="color: #000000; font-weight: bold;">begin</span>
				<span style="color: #000000; font-weight: bold;">break</span>;
			<span style="color: #000000; font-weight: bold;">end</span>;
			<span style="color: #000066;">writeln</span><span style="color: #009900;">&#40;</span>n<span style="color: #009900;">&#41;</span>;
		<span style="color: #000000; font-weight: bold;">end</span>;
<span style="color: #000000; font-weight: bold;">end</span>.</pre></td></tr></table></div>


<p>You can see Thor's Project Euler solutions here: <a href="http://www.thurn.ca/category/project-euler/">Derek Thurn's Website - Project Euler</a></p>
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