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<h1>1021. Deepest Root (25)</h1>
<div id="problemContent">
<p>A graph which is connected and acyclic can be considered a tree. The height of the tree depends on the selected root. Now you are supposed to find the root that results in a highest tree. Such a root is called <i>the deepest root</i>.</p>
<p><b>
Input Specification:
</b></p>
<p>Each input file contains one test case. For each case, the first line contains a positive integer N (&lt;=10000) which is the number of nodes, and hence the nodes are numbered from 1 to N. Then N-1 lines follow, each describes an edge by given the two adjacent nodes' numbers.</p>
<p><b>
Output Specification:
</b></p>
<p>For each test case, print each of the deepest roots in a line. If such a root is not unique, print them in increasing order of their numbers. In case that the given graph is not a tree, print "Error: K components" where K is the number of connected components in the graph.</p>
<b>Sample Input 1:</b><pre>
5
1 2
1 3
1 4
2 5
</pre>
<b>Sample Output 1:</b><pre>
3
4
5
</pre>
<b>Sample Input 2:</b><pre>
5
1 3
1 4
2 5
3 4
</pre>
<b>Sample Output 2:</b><pre>
Error: 2 components
</pre>
</div>