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<label class="md-nav__link md-nav__link--active" for="__toc">
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2.4. 小结
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<span class="md-nav__icon md-icon"></span>
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</label>
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<a href="./" class="md-nav__link md-nav__link--active">
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2.4. 小结
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</a>
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<nav class="md-nav md-nav--secondary" aria-label="目录">
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<label class="md-nav__title" for="__toc">
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<span class="md-nav__icon md-icon"></span>
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目录
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</label>
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<ul class="md-nav__list" data-md-component="toc" data-md-scrollfix>
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<li class="md-nav__item">
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<a href="#241-q-a" class="md-nav__link">
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2.4.1. Q & A
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</a>
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</li>
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</ul>
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</nav>
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</li>
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@@ -1809,6 +1840,21 @@
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<label class="md-nav__title" for="__toc">
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<span class="md-nav__icon md-icon"></span>
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目录
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</label>
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<ul class="md-nav__list" data-md-component="toc" data-md-scrollfix>
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<li class="md-nav__item">
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<a href="#241-q-a" class="md-nav__link">
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2.4.1. Q & A
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</a>
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</li>
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</ul>
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</nav>
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</div>
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</div>
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@@ -1853,6 +1899,22 @@
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<li>我们通常只关注最差空间复杂度,即统计算法在最差输入数据和最差运行时间点下的空间复杂度。</li>
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<li>常见空间复杂度从小到大排列有 <span class="arithmatex">\(O(1)\)</span> , <span class="arithmatex">\(O(\log n)\)</span> , <span class="arithmatex">\(O(n)\)</span> , <span class="arithmatex">\(O(n^2)\)</span> , <span class="arithmatex">\(O(2^n)\)</span> 等。</li>
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</ul>
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<h2 id="241-q-a">2.4.1. Q & A<a class="headerlink" href="#241-q-a" title="Permanent link">¶</a></h2>
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<div class="admonition question">
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<p class="admonition-title">尾递归的空间复杂度是 <span class="arithmatex">\(O(1)\)</span> 吗?</p>
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<p>理论上,尾递归函数的空间复杂度可以被优化至 <span class="arithmatex">\(O(1)\)</span> 。不过绝大多数编程语言(例如 Java, Python, C++, Go, C# 等)
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都不支持自动优化尾递归,因此一般来说空间复杂度是 <span class="arithmatex">\(O(n)\)</span> 。</p>
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</div>
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<div class="admonition question">
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<p class="admonition-title">函数和方法这两个术语的区别是什么?</p>
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<p>函数(function)可以独立被执行,所有参数都以显式传递。
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方法(method)与一个对象关联,方法被隐式传递给调用它的对象,方法能够对类的实例中包含的数据进行操作。</p>
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</div>
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<div class="admonition question">
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<p class="admonition-title">图片“空间复杂度的常见类型”反映的是否是占用空间的绝对大小?</p>
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<p>不是,该图片展示的是空间复杂度(即增长趋势),而不是占用空间的绝对大小。每个曲线都包含一个常数项,用来把所有曲线的取值范围压缩到一个视觉舒适的范围内。
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实际中,因为我们通常不知道每个方法的“常数项”复杂度是多少,所以一般无法仅凭复杂度来选择 $n = 8 之下的最优解法;但相对地 <span class="arithmatex">\(n = 8^5\)</span> 就很好选了,这是复杂度占主导的情况。</p>
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</div>
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