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📄 problem 2208.htm

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<HTML><HEAD><TITLE>Problem 2208</TITLE>
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<CENTER><FONT color=blue size=+2>To and Fro</FONT></CENTER>
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<CENTER><FONT color=green>Time limit:</FONT> 1 Seconds&nbsp;&nbsp; <FONT 
color=green>Memory limit: </FONT>32768K&nbsp;&nbsp; </FONT><BR><FONT 
color=green>Total Submit:</FONT> 1953&nbsp;&nbsp; <FONT color=green>Accepted 
Submit:</FONT> 1341&nbsp;&nbsp; </CENTER>
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<P>Mo and Larry have devised a way of encrypting messages. They first decide 
secretly on the number of columns and write the message (letters only) down the 
columns, padding with extra random letters so as to make a rectangular array of 
letters. For example, if the message is “There’s no place like home on a snowy 
night” and there are five columns, Mo would write down</P>
<P>t o i o y<BR>h p k n n<BR>e l e a i<BR>r a h s g<BR>e c o n h<BR>s e m o 
t<BR>n l e w x<BR></P>
<P>Note that Mo includes only letters and writes them all in lower case. In this 
example, Mo used the character ‘x’ to pad the message out to make a rectangle, 
although he could have used any letter.</P>
<P>Mo then sends the message to Larry by writing the letters in each row, 
alternating left-to-right and right-to-left. So, the above would be encrypted 
as</P>
<P>toioynnkpheleaigshareconhtomesnlewx</P>
<P>Your job is to recover for Larry the original message (along with any extra 
padding letters) from the encrypted one.</P>
<P><B>Input</B></P>
<P>There will be multiple input sets. Input for each set will consist of two 
lines. The first line will contain an integer in the range 2. . . 20 indicating 
the number of columns used. The next line is a string of up to 200 lower case 
letters. The last input set is followed by a line containing a single 0, 
indicating end of input.</P>
<P><B>Output</B></P>
<P>Each input set should generate one line of output, giving the original 
plaintext message, with no spaces.</P>
<P><B>SampleInput</B></P>
<P>5<BR>toioynnkpheleaigshareconhtomesnlewx<BR>3<BR>ttyohhieneesiaabss<BR>0<BR></P>
<P><B>SampleOutput</B></P>
<P>theresnoplacelikehomeonasnowynightx<BR>thisistheeasyoneab<BR></P>
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<FONT color=green size=+1>Problem Source: </FONT><I>East Central North America 
2004</I>
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