PAT/source/html/b1010.html

一元多项式求导
<div class="ques-view"><p>设计函数求一元多项式的导数。（注：<span class="katex"><span class="katex-mathml"><math><mrow><msup><mi>x</mi><mi>n</mi></msup></mrow>x^n</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.664392em;"></span><span class="strut bottom" style="height:0.664392em;vertical-align:0em;"></span><span class="base textstyle uncramped"><span class="mord"><span class="mord mathit">x</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 mathit mtight">n</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>n</mi></mrow>n</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">n</span></span></span></span>为整数）的一阶导数为<span class="katex"><span class="katex-mathml"><math><mrow><mi>n</mi><msup><mi>x</mi><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msup></mrow>n x^{n-1}</math></span><span aria-hidden="true" class="katex-html"><span class="strut" style="height:0.8141079999999999em;"></span><span class="strut bottom" style="height:0.8141079999999999em;vertical-align:0em;"></span><span class="base textstyle uncramped"><span class="mord mathit">n</span><span class="mord"><span class="mord mathit">x</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 scriptstyle uncramped mtight"><span class="mord mathit mtight">n</span><span class="mbin mtight">−</span><span class="mord mathrm mtight">1</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>
<h3 id="-">输入格式:</h3>
<p>以指数递降方式输入多项式非零项系数和指数（绝对值均为不超过 1000 的整数）。数字间以空格分隔。</p>
<h3 id="-">输出格式:</h3>
<p>以与输入相同的格式输出导数多项式非零项的系数和指数。数字间以空格分隔，但结尾不能有多余空格。注意“零多项式”的指数和系数都是 0，但是表示为 <code>0
0</code>。</p>
<h3 id="-">输入样例:</h3>
<pre><code class="lang-in">3 4 -5 2 6 1 -2 0
</code></pre>
<h3 id="-">输出样例:</h3>
<pre><code class="lang-out">12 3 -10 1 6 0
</code></pre>
</div>