PAT/source/html/b1055.html

集体照
<div class="ques-view"><p>拍集体照时队形很重要，这里对给定的 <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> 个人 <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:0.68333em;"></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:0.07153em;">K</span></span></span></span> 排的队形设计排队规则如下：</p>
<ul>
<li><p>每排人数为 <span class="katex"><span class="katex-mathml"><math><mrow><mi>N</mi><mi mathvariant="normal">/</mi><mi>K</mi></mrow>N/K</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base textstyle uncramped"><span class="mord mathit" style="margin-right:0.10903em;">N</span><span class="mord mathrm">/</span><span class="mord mathit" style="margin-right:0.07153em;">K</span></span></span></span>（向下取整），多出来的人全部站在最后一排；</p>
</li>
<li><p>后排所有人的个子都不比前排任何人矮；</p>
</li>
<li><p>每排中最高者站中间（中间位置为 <span class="katex"><span class="katex-mathml"><math><mrow><mi>m</mi><mi mathvariant="normal">/</mi><mn>2</mn><mo>+</mo><mn>1</mn></mrow>m/2+1</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.75em;"></span><span class="strut bottom" style="height:1em;vertical-align:-0.25em;"></span><span class="base textstyle uncramped"><span class="mord mathit">m</span><span class="mord mathrm">/</span><span class="mord mathrm">2</span><span class="mbin">+</span><span class="mord mathrm">1</span></span></span></span>，其中 <span class="katex"><span class="katex-mathml"><math><mrow><mi>m</mi></mrow>m</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.43056em;"></span><span class="strut bottom" style="height:0.43056em;vertical-align:0em;"></span><span class="base textstyle uncramped"><span class="mord mathit">m</span></span></span></span> 为该排人数，除法向下取整）；</p>
</li>
<li><p>每排其他人以中间人为轴，按身高非增序，先右后左交替入队站在中间人的两侧（例如5人身高为190、188、186、175、170，则队形为175、188、190、186、170。这里假设你面对拍照者，所以你的左边是中间人的右边）；</p>
</li>
<li><p>若多人身高相同，则按名字的字典序升序排列。这里保证无重名。</p>
</li>
</ul>
<p>现给定一组拍照人，请编写程序输出他们的队形。</p>
<h3 id="-">输入格式：</h3>
<p>每个输入包含 1 个测试用例。每个测试用例第 1 行给出两个正整数 <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><msup><mn>0</mn><mn>4</mn></msup></mrow>\le 10^4</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.8141079999999999em;"></span><span class="strut bottom" style="height:0.950078em;vertical-align:-0.13597em;"></span><span class="base textstyle uncramped"><span class="mrel">≤</span><span class="mord mathrm">1</span><span class="mord"><span class="mord mathrm">0</span><span class="msupsub"><span class="vlist"><span style="top:-0.363em;margin-right:0.05em;"><span class="fontsize-ensurer reset-size5 size5"><span style="font-size:0em;">​</span></span><span class="reset-textstyle scriptstyle uncramped mtight"><span class="mord mathrm mtight">4</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>，总人数）和 <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:0.68333em;"></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:0.07153em;">K</span></span></span></span>（<span class="katex"><span class="katex-mathml"><math><mrow><mo>≤</mo><mn>1</mn><mn>0</mn></mrow>\le 10</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></span></span>，总排数）。随后 <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> 行，每行给出一个人的名字（不包含空格、长度不超过 8 个英文字母）和身高（[30, 300] 区间内的整数）。</p>
<h3 id="-">输出格式：</h3>
<p>输出拍照的队形。即K排人名，其间以空格分隔，行末不得有多余空格。注意：假设你面对拍照者，后排的人输出在上方，前排输出在下方。</p>
<h3 id="-">输入样例：</h3>
<pre><code class="lang-in">10 3
Tom 188
Mike 170
Eva 168
Tim 160
Joe 190
Ann 168
Bob 175
Nick 186
Amy 160
John 159
</code></pre>
<h3 id="-">输出样例：</h3>
<pre><code class="lang-out">Bob Tom Joe Nick
Ann Mike Eva
Tim Amy John
</code></pre>
</div>