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2294 - Cantor表

通过次数

0

提交次数

0

Time Limit : 1 秒 Memory Limit : 128 MB

 

<span style="font-family:宋体;">现代数学的著名证明之一是</span><span>Georg Cantor</span><span style="font-family:宋体;">证明了有理数是可枚举的。他是用下面这一张表来证明这一命题的:</span> 

<table cellspacing="0" cellpadding="0" width="222" align="left" height="135">
	<tbody>
		<tr>
			<td height="135" valign="top" align="left">
				<p class="MsoNormal">
					<span>1/1<span>&nbsp; </span>1/2 <span>&nbsp;</span>1/3 <span>&nbsp;</span>1/4 <span>&nbsp;</span>1/5 </span><span style="font-family:宋体;">…</span> 
				</p>
				<p class="MsoNormal">
					<span>2/1 <span>&nbsp;</span>2/2 <span>&nbsp;</span>2/3 <span>&nbsp;</span>2/4 <span>&nbsp;</span></span><span style="font-family:宋体;">…</span> 
				</p>
				<p class="MsoNormal">
					<span>3/1 <span>&nbsp;</span>3/2 <span>&nbsp;</span>3/3 <span>&nbsp;</span></span><span style="font-family:宋体;">…</span> 
				</p>
				<p class="MsoNormal">
					<span>4/1 <span>&nbsp;</span>4/2 <span>&nbsp;</span></span><span style="font-family:宋体;">…</span> 
				</p>
				<p class="MsoNormal">
					<span>5/1 <span>&nbsp;</span></span><span style="font-family:宋体;">…</span> 
				</p>
				<p class="MsoNormal">
					<span style="font-family:宋体;">…</span> 
				</p>
			</td>
		</tr>
	</tbody>
</table>

<span> 
<table cellspacing="0" cellpadding="0" width="100%">
	<tbody>
		<tr>
			<td>
				<div class="shape">
					<p class="MsoNormal">
						<span>1/1<span>&nbsp; </span>1/2 <span>&nbsp;</span>1/3 <span>&nbsp;</span>1/4 <span>&nbsp;</span>1/5 </span><span style="font-family:宋体;">…</span> 
					</p>
					<p class="MsoNormal">
						<span>2/1 <span>&nbsp;</span>2/2 <span>&nbsp;</span>2/3 <span>&nbsp;</span>2/4 <span>&nbsp;</span></span><span style="font-family:宋体;">…</span> 
					</p>
					<p class="MsoNormal">
						<span>3/1 <span>&nbsp;</span>3/2 <span>&nbsp;</span>3/3 <span>&nbsp;</span></span><span style="font-family:宋体;">…</span> 
					</p>
					<p class="MsoNormal">
						<span>4/1 <span>&nbsp;</span>4/2 <span>&nbsp;</span></span><span style="font-family:宋体;">…</span> 
					</p>
					<p class="MsoNormal">
						<span>5/1 <span>&nbsp;</span></span><span style="font-family:宋体;">…</span> 
					</p>
					<p class="MsoNormal">
						<span style="font-family:宋体;">…</span> 
					</p>
					<p class="MsoNormal">
						<span></span>
					</p>
				</div>
			</td>
		</tr>
	</tbody>
</table>

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<span><span>&nbsp;&nbsp;&nbsp; </span></span><span style="font-family:宋体;">我们以</span><span>Z</span><span style="font-family:宋体;">字形给上表的每一项编号。第一项是</span><span>1/1</span><span style="font-family:宋体;">,然后是</span><span>1/2</span><span style="font-family:宋体;">,</span><span>2/1</span><span style="font-family:宋体;">,</span><span>3/1</span><span style="font-family:宋体;">,</span><span>2/2</span><span style="font-family:宋体;">,…</span> 

<span><span>&nbsp;&nbsp;&nbsp; </span></span><span style="font-family:宋体;">输入:整数</span><span>N</span><span style="font-family:宋体;">(</span><span>1</span><span style="font-family:宋体;">≤</span><span>N</span><span style="font-family:宋体;">≤</span><span>10000000</span><span style="font-family:宋体;">)</span><span><span>&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span style="font-family:宋体;">输出:表中的第</span><span>N</span><span style="font-family:宋体;">项</span> 

<span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span style="font-family:宋体;">样例:</span><span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>INPUT<span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>OUTPUT</span> 

<span><span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span></span><span style="font-family:宋体;">       </span><span>N=7<span>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; </span>1/4</span> 

Input

Output

Examples

Input Format

7

Output Format

1/4