PAT/source/html/a1137.html

Final Grading
<div class="ques-view"><p>For a student taking the online course "Data Structures" on China University MOOC (<a href="http://www.icourse163.org/">http://www.icourse163.org/</a>), to be qualified for a certificate, he/she must first obtain no less than 200 points from the online programming assignments, and then receive a final grade no less than 60 out of 100. The final grade is calculated by <span class="katex"><span class="katex-mathml"><math><mrow><mi>G</mi><mo>=</mo><mo>(</mo><msub><mi>G</mi><mrow><mi>m</mi><mi>i</mi><mi>d</mi><mo>−</mo><mi>t</mi><mi>e</mi><mi>r</mi><mi>m</mi></mrow></msub><mo>×</mo><mn>4</mn><mn>0</mn><mi mathvariant="normal">%</mi><mo>+</mo><msub><mi>G</mi><mrow><mi>f</mi><mi>i</mi><mi>n</mi><mi>a</mi><mi>l</mi></mrow></msub><mo>×</mo><mn>6</mn><mn>0</mn><mi mathvariant="normal">%</mi><mo>)</mo></mrow>G = (G_{mid-term}\times 40\% + G_{final}\times 60\%)</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1.036108em;vertical-align:-0.286108em;"></span><span class="base textstyle uncramped"><span class="mord mathit">G</span><span class="mrel">=</span><span class="mopen">(</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">m</span><span class="mord mathit mtight">i</span><span class="mord mathit mtight">d</span><span class="mbin mtight">−</span><span class="mord mathit mtight">t</span><span class="mord mathit mtight">e</span><span class="mord mathit mtight" style="margin-right:0.02778em;">r</span><span class="mord mathit mtight">m</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 class="mbin">×</span><span class="mord mathrm">4</span><span class="mord mathrm">0</span><span class="mord mathrm">%</span><span class="mbin">+</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" style="margin-right:0.10764em;">f</span><span class="mord mathit mtight">i</span><span class="mord mathit mtight">n</span><span class="mord mathit mtight">a</span><span class="mord mathit mtight" style="margin-right:0.01968em;">l</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 class="mbin">×</span><span class="mord mathrm">6</span><span class="mord mathrm">0</span><span class="mord mathrm">%</span><span class="mclose">)</span></span></span></span> if <span class="katex"><span class="katex-mathml"><math><mrow><msub><mi>G</mi><mrow><mi>m</mi><mi>i</mi><mi>d</mi><mo>−</mo><mi>t</mi><mi>e</mi><mi>r</mi><mi>m</mi></mrow></msub><mo>&gt;</mo><msub><mi>G</mi><mrow><mi>f</mi><mi>i</mi><mi>n</mi><mi>a</mi><mi>l</mi></mrow></msub></mrow>G_{mid-term} &gt; G_{final}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.969438em;vertical-align:-0.286108em;"></span><span class="base textstyle uncramped"><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">m</span><span class="mord mathit mtight">i</span><span class="mord mathit mtight">d</span><span class="mbin mtight">−</span><span class="mord mathit mtight">t</span><span class="mord mathit mtight">e</span><span class="mord mathit mtight" style="margin-right:0.02778em;">r</span><span class="mord mathit mtight">m</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 class="mrel">&gt;</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" style="margin-right:0.10764em;">f</span><span class="mord mathit mtight">i</span><span class="mord mathit mtight">n</span><span class="mord mathit mtight">a</span><span class="mord mathit mtight" style="margin-right:0.01968em;">l</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>, or <span class="katex"><span class="katex-mathml"><math><mrow><msub><mi>G</mi><mrow><mi>f</mi><mi>i</mi><mi>n</mi><mi>a</mi><mi>l</mi></mrow></msub></mrow>G_{final}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.969438em;vertical-align:-0.286108em;"></span><span class="base textstyle uncramped"><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" style="margin-right:0.10764em;">f</span><span class="mord mathit mtight">i</span><span class="mord mathit mtight">n</span><span class="mord mathit mtight">a</span><span class="mord mathit mtight" style="margin-right:0.01968em;">l</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> will be taken as the final grade <span class="katex"><span class="katex-mathml"><math><mrow><mi>G</mi></mrow>G</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">G</span></span></span></span>. Here <span class="katex"><span class="katex-mathml"><math><mrow><msub><mi>G</mi><mrow><mi>m</mi><mi>i</mi><mi>d</mi><mo>−</mo><mi>t</mi><mi>e</mi><mi>r</mi><mi>m</mi></mrow></msub></mrow>G_{mid-term}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.891661em;vertical-align:-0.208331em;"></span><span class="base textstyle uncramped"><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">m</span><span class="mord mathit mtight">i</span><span class="mord mathit mtight">d</span><span class="mbin mtight">−</span><span class="mord mathit mtight">t</span><span class="mord mathit mtight">e</span><span class="mord mathit mtight" style="margin-right:0.02778em;">r</span><span class="mord mathit mtight">m</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> and <span class="katex"><span class="katex-mathml"><math><mrow><msub><mi>G</mi><mrow><mi>f</mi><mi>i</mi><mi>n</mi><mi>a</mi><mi>l</mi></mrow></msub></mrow>G_{final}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.969438em;vertical-align:-0.286108em;"></span><span class="base textstyle uncramped"><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" style="margin-right:0.10764em;">f</span><span class="mord mathit mtight">i</span><span class="mord mathit mtight">n</span><span class="mord mathit mtight">a</span><span class="mord mathit mtight" style="margin-right:0.01968em;">l</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> are the student's scores of the mid-term and the final exams, respectively.</p>
<p>The problem is that different exams have different grading sheets. Your job is to write a program to merge all the grading sheets into one.</p>
<h3 id="input-specification-">Input Specification:</h3>
<p>Each input file contains one test case. For each case, the first line gives three positive integers: P , the number of students having done the online programming assignments; M, the number of students on the mid-term list; and N, the number of students on the final exam list. All the numbers are no more than 10,000.</p>
<p>Then three blocks follow. The first block contains P online programming scores <span class="katex"><span class="katex-mathml"><math><mrow><msub><mi>G</mi><mi>p</mi></msub></mrow>G_p</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.969438em;vertical-align:-0.286108em;"></span><span class="base textstyle uncramped"><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 mathit mtight">p</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; the second one contains M mid-term scores <span class="katex"><span class="katex-mathml"><math><mrow><msub><mi>G</mi><mrow><mi>m</mi><mi>i</mi><mi>d</mi><mo>−</mo><mi>t</mi><mi>e</mi><mi>r</mi><mi>m</mi></mrow></msub></mrow>G_{mid-term}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.891661em;vertical-align:-0.208331em;"></span><span class="base textstyle uncramped"><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">m</span><span class="mord mathit mtight">i</span><span class="mord mathit mtight">d</span><span class="mbin mtight">−</span><span class="mord mathit mtight">t</span><span class="mord mathit mtight">e</span><span class="mord mathit mtight" style="margin-right:0.02778em;">r</span><span class="mord mathit mtight">m</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>'s; and the last one contains N final exam scores <span class="katex"><span class="katex-mathml"><math><mrow><msub><mi>G</mi><mrow><mi>f</mi><mi>i</mi><mi>n</mi><mi>a</mi><mi>l</mi></mrow></msub></mrow>G_{final}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.969438em;vertical-align:-0.286108em;"></span><span class="base textstyle uncramped"><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" style="margin-right:0.10764em;">f</span><span class="mord mathit mtight">i</span><span class="mord mathit mtight">n</span><span class="mord mathit mtight">a</span><span class="mord mathit mtight" style="margin-right:0.01968em;">l</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>'s. Each score occupies a line with the format: <code>StudentID Score</code>, where <code>StudentID</code> is a string of no more than 20 English letters and digits, and <code>Score</code> is a nonnegative integer (the maximum score of the online programming is 900, and that of the mid-term and final exams is 100).</p>
<h3 id="output-specification-">Output Specification:</h3>
<p>For each case, print the list of students who are qualified for certificates. Each student occupies a line with the format:</p>
<p><code>StudentID</code> <span class="katex"><span class="katex-mathml"><math><mrow><msub><mi>G</mi><mi>p</mi></msub></mrow>G_p</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.969438em;vertical-align:-0.286108em;"></span><span class="base textstyle uncramped"><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 mathit mtight">p</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>G</mi><mrow><mi>m</mi><mi>i</mi><mi>d</mi><mo>−</mo><mi>t</mi><mi>e</mi><mi>r</mi><mi>m</mi></mrow></msub></mrow>G_{mid-term}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.891661em;vertical-align:-0.208331em;"></span><span class="base textstyle uncramped"><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">m</span><span class="mord mathit mtight">i</span><span class="mord mathit mtight">d</span><span class="mbin mtight">−</span><span class="mord mathit mtight">t</span><span class="mord mathit mtight">e</span><span class="mord mathit mtight" style="margin-right:0.02778em;">r</span><span class="mord mathit mtight">m</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><msub><mi>G</mi><mrow><mi>f</mi><mi>i</mi><mi>n</mi><mi>a</mi><mi>l</mi></mrow></msub></mrow>G_{final}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.68333em;"></span><span class="strut bottom" style="height:0.969438em;vertical-align:-0.286108em;"></span><span class="base textstyle uncramped"><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" style="margin-right:0.10764em;">f</span><span class="mord mathit mtight">i</span><span class="mord mathit mtight">n</span><span class="mord mathit mtight">a</span><span class="mord mathit mtight" style="margin-right:0.01968em;">l</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>G</mi></mrow>G</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">G</span></span></span></span></p>
<p>If some score does not exist, output "<span class="katex"><span class="katex-mathml"><math><mrow><mo>−</mo><mn>1</mn></mrow>-1</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.64444em;"></span><span class="strut bottom" style="height:0.72777em;vertical-align:-0.08333em;"></span><span class="base textstyle uncramped"><span class="mord">−</span><span class="mord mathrm">1</span></span></span></span>" instead. The output must be sorted in descending order of their final grades (<span class="katex"><span class="katex-mathml"><math><mrow><mi>G</mi></mrow>G</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">G</span></span></span></span> must be rounded up to an integer). If there is a tie, output in ascending order of their <code>StudentID</code>'s. It is guaranteed that the <code>StudentID</code>'s are all distinct, and there is at least one qullified student.</p>
<h3 id="sample-input-">Sample Input:</h3>
<pre><code class="lang-in">6 6 7
01234 880
a1903 199
ydjh2 200
wehu8 300
dx86w 220
missing 400
ydhfu77 99
wehu8 55
ydjh2 98
dx86w 88
a1903 86
01234 39
ydhfu77 88
a1903 66
01234 58
wehu8 84
ydjh2 82
missing 99
dx86w 81
</code></pre>
<h3 id="sample-output-">Sample Output:</h3>
<pre><code class="lang-out">missing 400 -1 99 99
ydjh2 200 98 82 88
dx86w 220 88 81 84
wehu8 300 55 84 84
</code></pre>
</div>