PAT/source/html/a1114.html

Family Property
<div class="ques-view"><p>This time, you are supposed to help us collect the data for family-owned property. Given each person's family members, and the estate（房产）info under his/her own name, we need to know the size of each family, and the average area and number of sets of their real estate.</p>
<h3 id="input-specification-">Input Specification:</h3>
<p>Each input file contains one test case. For each case, the first line gives a positive integer <span class="katex"><span class="katex-mathml"><math><mrow><mi>N</mi></mrow>N</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base textstyle uncramped"><span class="mord mathit" style="margin-right:0.10903em;">N</span></span></span></span> (<span class="katex"><span class="katex-mathml"><math><mrow><mo>≤</mo><mn>1</mn><mn>0</mn><mn>0</mn><mn>0</mn></mrow>\le 1000</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.64444em;"></span><span class="strut bottom" style="height:0.78041em;vertical-align:-0.13597em;"></span><span class="base textstyle uncramped"><span class="mrel">≤</span><span class="mord mathrm">1</span><span class="mord mathrm">0</span><span class="mord mathrm">0</span><span class="mord mathrm">0</span></span></span></span>). Then <span class="katex"><span class="katex-mathml"><math><mrow><mi>N</mi></mrow>N</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.68333em;vertical-align:0em;"></span><span class="base textstyle uncramped"><span class="mord mathit" style="margin-right:0.10903em;">N</span></span></span></span> lines follow, each gives the infomation of a person who owns estate in the format:</p>
<p><code>ID</code> <code>Father</code> <code>Mother</code> <span class="katex"><span class="katex-mathml"><math><mrow><mi>k</mi></mrow>k</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.69444em;vertical-align:0em;"></span><span class="base textstyle uncramped"><span class="mord mathit" style="margin-right:0.03148em;">k</span></span></span></span> <span class="katex"><span class="katex-mathml"><math><mrow><mi>C</mi><mi>h</mi><mi>i</mi><mi>l</mi><msub><mi>d</mi><mn>1</mn></msub><mo>⋯</mo><mi>C</mi><mi>h</mi><mi>i</mi><mi>l</mi><msub><mi>d</mi><mi>k</mi></msub></mrow>Child_1 \cdots Child_k</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.84444em;vertical-align:-0.15em;"></span><span class="base textstyle uncramped"><span class="mord mathit" style="margin-right:0.07153em;">C</span><span class="mord mathit">h</span><span class="mord mathit">i</span><span class="mord mathit" style="margin-right:0.01968em;">l</span><span class="mord"><span class="mord mathit">d</span><span class="msupsub"><span class="vlist"><span style="top:0.15em;margin-right:0.05em;margin-left:0em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle cramped mtight"><span class="mord mathrm mtight">1</span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span><span class="minner">⋯</span><span class="mord mathit" style="margin-right:0.07153em;">C</span><span class="mord mathit">h</span><span class="mord mathit">i</span><span class="mord mathit" style="margin-right:0.01968em;">l</span><span class="mord"><span class="mord mathit">d</span><span class="msupsub"><span class="vlist"><span style="top:0.15em;margin-right:0.05em;margin-left:0em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle cramped mtight"><span class="mord mathit mtight" style="margin-right:0.03148em;">k</span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span></span></span></span> <span class="katex"><span class="katex-mathml"><math><mrow><msub><mi>M</mi><mrow><mi>e</mi><mi>s</mi><mi>t</mi><mi>a</mi><mi>t</mi><mi>e</mi></mrow></msub></mrow>M_{estate}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.83333em;vertical-align:-0.15em;"></span><span class="base textstyle uncramped"><span class="mord"><span class="mord mathit" style="margin-right:0.10903em;">M</span><span class="msupsub"><span class="vlist"><span style="top:0.15em;margin-right:0.05em;margin-left:-0.10903em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle cramped mtight"><span class="mord scriptstyle cramped mtight"><span class="mord mathit mtight">e</span><span class="mord mathit mtight">s</span><span class="mord mathit mtight">t</span><span class="mord mathit mtight">a</span><span class="mord mathit mtight">t</span><span class="mord mathit mtight">e</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span></span></span></span> <code>Area</code></p>
<p>where <code>ID</code> is a unique 4-digit identification number for each person; <code>Father</code> and <code>Mother</code> are the <code>ID</code>'s of this person's parents (if a parent has passed away, <code>-1</code> will be given instead); <span class="katex"><span class="katex-mathml"><math><mrow><mi>k</mi></mrow>k</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.69444em;vertical-align:0em;"></span><span class="base textstyle uncramped"><span class="mord mathit" style="margin-right:0.03148em;">k</span></span></span></span> (<span class="katex"><span class="katex-mathml"><math><mrow><mn>0</mn><mo>≤</mo><mi>k</mi><mo>≤</mo><mn>5</mn></mrow>0\le k\le 5</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.83041em;vertical-align:-0.13597em;"></span><span class="base textstyle uncramped"><span class="mord mathrm">0</span><span class="mrel">≤</span><span class="mord mathit" style="margin-right:0.03148em;">k</span><span class="mrel">≤</span><span class="mord mathrm">5</span></span></span></span>) is the number of children of this person; <span class="katex"><span class="katex-mathml"><math><mrow><mi>C</mi><mi>h</mi><mi>i</mi><mi>l</mi><msub><mi>d</mi><mi>i</mi></msub></mrow>Child_i</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.69444em;"></span><span class="strut bottom" style="height:0.84444em;vertical-align:-0.15em;"></span><span class="base textstyle uncramped"><span class="mord mathit" style="margin-right:0.07153em;">C</span><span class="mord mathit">h</span><span class="mord mathit">i</span><span class="mord mathit" style="margin-right:0.01968em;">l</span><span class="mord"><span class="mord mathit">d</span><span class="msupsub"><span class="vlist"><span style="top:0.15em;margin-right:0.05em;margin-left:0em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle cramped mtight"><span class="mord mathit mtight">i</span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span></span></span></span>'s are the <code>ID</code>'s of his/her children; <span class="katex"><span class="katex-mathml"><math><mrow><msub><mi>M</mi><mrow><mi>e</mi><mi>s</mi><mi>t</mi><mi>a</mi><mi>t</mi><mi>e</mi></mrow></msub></mrow>M_{estate}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.83333em;vertical-align:-0.15em;"></span><span class="base textstyle uncramped"><span class="mord"><span class="mord mathit" style="margin-right:0.10903em;">M</span><span class="msupsub"><span class="vlist"><span style="top:0.15em;margin-right:0.05em;margin-left:-0.10903em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle cramped mtight"><span class="mord scriptstyle cramped mtight"><span class="mord mathit mtight">e</span><span class="mord mathit mtight">s</span><span class="mord mathit mtight">t</span><span class="mord mathit mtight">a</span><span class="mord mathit mtight">t</span><span class="mord mathit mtight">e</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span></span></span></span> is the total number of sets of the real estate under his/her name; and <code>Area</code> is the total area of his/her estate.</p>
<h3 id="output-specification-">Output Specification:</h3>
<p>For each case, first print in a line the number of families (all the people that are related directly or indirectly are considered in the same family). Then output the family info in the format:</p>
<p><code>ID</code> <code>M</code> <span class="katex"><span class="katex-mathml"><math><mrow><mi>A</mi><mi>V</mi><msub><mi>G</mi><mrow><mi>s</mi><mi>e</mi><mi>t</mi><mi>s</mi></mrow></msub></mrow>AVG_{sets}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.83333em;vertical-align:-0.15em;"></span><span class="base textstyle uncramped"><span class="mord mathit">A</span><span class="mord mathit" style="margin-right:0.22222em;">V</span><span class="mord"><span class="mord mathit">G</span><span class="msupsub"><span class="vlist"><span style="top:0.15em;margin-right:0.05em;margin-left:0em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle cramped mtight"><span class="mord scriptstyle cramped mtight"><span class="mord mathit mtight">s</span><span class="mord mathit mtight">e</span><span class="mord mathit mtight">t</span><span class="mord mathit mtight">s</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span></span></span></span> <span class="katex"><span class="katex-mathml"><math><mrow><mi>A</mi><mi>V</mi><msub><mi>G</mi><mrow><mi>a</mi><mi>r</mi><mi>e</mi><mi>a</mi></mrow></msub></mrow>AVG_{area}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.83333em;vertical-align:-0.15em;"></span><span class="base textstyle uncramped"><span class="mord mathit">A</span><span class="mord mathit" style="margin-right:0.22222em;">V</span><span class="mord"><span class="mord mathit">G</span><span class="msupsub"><span class="vlist"><span style="top:0.15em;margin-right:0.05em;margin-left:0em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle cramped mtight"><span class="mord scriptstyle cramped mtight"><span class="mord mathit mtight">a</span><span class="mord mathit mtight" style="margin-right:0.02778em;">r</span><span class="mord mathit mtight">e</span><span class="mord mathit mtight">a</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span></span></span></span></p>
<p>where <code>ID</code> is the smallest ID in the family; <code>M</code> is the total number of family members; <span class="katex"><span class="katex-mathml"><math><mrow><mi>A</mi><mi>V</mi><msub><mi>G</mi><mrow><mi>s</mi><mi>e</mi><mi>t</mi><mi>s</mi></mrow></msub></mrow>AVG_{sets}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.83333em;vertical-align:-0.15em;"></span><span class="base textstyle uncramped"><span class="mord mathit">A</span><span class="mord mathit" style="margin-right:0.22222em;">V</span><span class="mord"><span class="mord mathit">G</span><span class="msupsub"><span class="vlist"><span style="top:0.15em;margin-right:0.05em;margin-left:0em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle cramped mtight"><span class="mord scriptstyle cramped mtight"><span class="mord mathit mtight">s</span><span class="mord mathit mtight">e</span><span class="mord mathit mtight">t</span><span class="mord mathit mtight">s</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span></span></span></span> is the average number of sets of their real estate; and <span class="katex"><span class="katex-mathml"><math><mrow><mi>A</mi><mi>V</mi><msub><mi>G</mi><mrow><mi>a</mi><mi>r</mi><mi>e</mi><mi>a</mi></mrow></msub></mrow>AVG_{area}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.83333em;vertical-align:-0.15em;"></span><span class="base textstyle uncramped"><span class="mord mathit">A</span><span class="mord mathit" style="margin-right:0.22222em;">V</span><span class="mord"><span class="mord mathit">G</span><span class="msupsub"><span class="vlist"><span style="top:0.15em;margin-right:0.05em;margin-left:0em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle cramped mtight"><span class="mord scriptstyle cramped mtight"><span class="mord mathit mtight">a</span><span class="mord mathit mtight" style="margin-right:0.02778em;">r</span><span class="mord mathit mtight">e</span><span class="mord mathit mtight">a</span></span></span></span><span class="baseline-fix"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span>​</span></span></span></span></span></span></span> is the average area. The average numbers must be accurate up to 3 decimal places. The families must be given in descending order of their average areas, and in ascending order of the ID's if there is a tie.</p>
<h3 id="sample-input-">Sample Input:</h3>
<pre><code class="lang-in">10
6666 5551 5552 1 7777 1 100
1234 5678 9012 1 0002 2 300
8888 -1 -1 0 1 1000
2468 0001 0004 1 2222 1 500
7777 6666 -1 0 2 300
3721 -1 -1 1 2333 2 150
9012 -1 -1 3 1236 1235 1234 1 100
1235 5678 9012 0 1 50
2222 1236 2468 2 6661 6662 1 300
2333 -1 3721 3 6661 6662 6663 1 100
</code></pre>
<h3 id="sample-output-">Sample Output:</h3>
<pre><code class="lang-out">3
8888 1 1.000 1000.000
0001 15 0.600 100.000
5551 4 0.750 100.000
</code></pre>
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