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<h1>1094. The Largest Generation (25)</h1>
<div id="problemContent">
<p>A family hierarchy is usually presented by a pedigree tree where all the nodes on the same level belong to the same generation. Your task is to find the generation with the largest population.</p>
<p><b>
Input Specification:
</b></p>
<p>Each input file contains one test case. Each case starts with two positive integers N (&amp;lt100;) which is the total number of family members in the tree (and hence assume that all the members are numbered from 01 to N), and M (&amp;ltN;) which is the number of family members who have children. Then M lines follow, each contains the information of a family member in the following format:</p>
<p>
ID K ID[1] ID[2] ... ID[K]
</p>
<p>where ID is a two-digit number representing a family member, K (&amp;gt0;) is the number of his/her children, followed by a sequence of two-digit ID's of his/her children. For the sake of simplicity, let us fix the root ID to be 01. All the numbers in a line are separated by a space.</p>
<p><b>
Output Specification:
</b></p>
<p>For each test case, print in one line the largest population number and the level of the corresponding generation. It is assumed that such a generation is unique, and the root level is defined to be 1. </p>
<b>Sample Input:</b><pre>
23 13
21 1 23
01 4 03 02 04 05
03 3 06 07 08
06 2 12 13
13 1 21
08 2 15 16
02 2 09 10
11 2 19 20
17 1 22
05 1 11
07 1 14
09 1 17
10 1 18
</pre>
<b>Sample Output:</b><pre>
9 4
</pre>
</div>