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<h2 class="wrapper title">LCCI 01.02.判定是否互为字符重排</h2>
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<span>Author</span><span>flypython</span> | <span>Date: </span><span>2020-02-26</span> | <span>Category</span><span><a href="/fly/飞蟒微课堂/" title="飞蟒微课堂">飞蟒微课堂</a><a href="/fly/飞蟒微课堂/LeetCode/" title="LeetCode">LeetCode</a></span>
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<h2 id="01-02-判定是否互为字符重排"><a href="#01-02-判定是否互为字符重排" class="headerlink" title="01.02.判定是否互为字符重排"></a>01.02.判定是否互为字符重排</h2><p>链接:<a href="https://leetcode-cn.com/problems/check-permutation-lcci/" target="_blank" rel="noopener">https://leetcode-cn.com/problems/check-permutation-lcci/</a><br>难度:简单</p>
<h4 id="题目"><a href="#题目" class="headerlink" title="题目"></a>题目</h4><blockquote>
<p>给定两个字符串 s1 和 s2请编写一个程序确定其中一个字符串的字符重新排列后能否变成另一个字符串。</p>
<p>示例 1</p>
<p>输入: s1 = “abc”, s2 = “bca”<br>输出: true<br>示例 2</p>
<p>输入: s1 = “abc”, s2 = “bad”<br>输出: false</p>
<p>说明:<br>0 &lt;= len(s1) &lt;= 100<br>0 &lt;= len(s2) &lt;= 100</p>
</blockquote>
<h4 id="思路"><a href="#思路" class="headerlink" title="思路"></a>思路</h4><p>开始我们还是先理解题意确定是否区分大小写是否忽略空白字符等。有了01.01题的hash计数01判断的经历在这里很容易想到使用hash计数。</p>
<p>因为字符可以重复需要对字符进行计数这个时候我们会想到collections库中的Counter。于是有了下面两行代码解决了问题。</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br></pre></td><td class="code"><pre><span class="line">from collections import Counter</span><br><span class="line">return Counter(s1) == Counter(s2)</span><br></pre></td></tr></table></figure>
<p>但是上面的方法严格来说算作弊那我们手写吧。对每个字符进行计数操作并测试是否相等不相等返回False全部相等返回True。</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br></pre></td><td class="code"><pre><span class="line">class Solution:</span><br><span class="line"> def CheckPermutation(self, s1: str, s2: str) -&gt; bool:</span><br><span class="line"> if len(s1) != len(s2):</span><br><span class="line"> return False</span><br><span class="line"> </span><br><span class="line"> base = set(s1+s2)</span><br><span class="line"> for b in base:</span><br><span class="line"> if s1.count(b) != s2.count(b):</span><br><span class="line"> return False</span><br><span class="line"> return True</span><br></pre></td></tr></table></figure>
<p>上面的代码,最容易出问题的是<code>base = set(s1+s2)</code>,需要以两个字符串集的唯一字符来进行计数但这里引入了set。</p>
<p>我们测试了字符范围发现是az那么代码可以改成</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br></pre></td><td class="code"><pre><span class="line">class Solution:</span><br><span class="line"> def CheckPermutation(self, s1: str, s2: str) -&gt; bool:</span><br><span class="line"> if len(s1) != len(s2):</span><br><span class="line"> return False</span><br><span class="line"> </span><br><span class="line"> base = [chr(i) for i in range(ord(&quot;a&quot;),ord(&quot;z&quot;)+1)]</span><br><span class="line"> for b in base:</span><br><span class="line"> if s1.count(b) != s2.count(b):</span><br><span class="line"> return False</span><br><span class="line"> return True</span><br></pre></td></tr></table></figure>
<p>再进一步为了直观我们可以引入string包代码如下</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br></pre></td><td class="code"><pre><span class="line">class Solution:</span><br><span class="line"> def CheckPermutation(self, s1: str, s2: str) -&gt; bool:</span><br><span class="line"> import string </span><br><span class="line"> if len(s1) != len(s2):</span><br><span class="line"> return False</span><br><span class="line"> </span><br><span class="line"> for b in string.ascii_lowercase:</span><br><span class="line"> if s1.count(b) != s2.count(b):</span><br><span class="line"> return False</span><br><span class="line"> return True</span><br></pre></td></tr></table></figure>
<p>当然,在这里我们也可以通过排序并比较来解决,代码非常简单:</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br></pre></td><td class="code"><pre><span class="line">class Solution:</span><br><span class="line"> def CheckPermutation(self, s1: str, s2: str) -&gt; bool:</span><br><span class="line"> return sorted(s1) == sorted(s2)</span><br></pre></td></tr></table></figure>
<p>空间复杂度O(nlogn)相比hash计数复杂度要高一些但是hash计数有空间复杂度。</p>
<h4 id="错误代码分析"><a href="#错误代码分析" class="headerlink" title="错误代码分析"></a>错误代码分析</h4><p>在题解中看到一份代码</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br></pre></td><td class="code"><pre><span class="line">class Solution &#123;</span><br><span class="line"> public boolean CheckPermutation(String s1, String s2) &#123;</span><br><span class="line"> if(s1.length() != s2.length()) &#123;</span><br><span class="line"> return false;</span><br><span class="line"> &#125;</span><br><span class="line"> int s1Sum = 0, s2Sum = 0;</span><br><span class="line"> for(int i = 0; i &lt; s1.length(); i++) &#123;</span><br><span class="line"> s1Sum += s1.charAt(i);</span><br><span class="line"> s2Sum += s2.charAt(i);</span><br><span class="line"> &#125;</span><br><span class="line"> return s1Sum == s2Sum;</span><br><span class="line"> &#125;</span><br><span class="line">&#125;</span><br></pre></td></tr></table></figure>
<p>此解法主要是计算s1s2字符和比较字符和。这种解法的问题就是忽略了和相同但数字并不同的情况比如 3+7 == 2+8。</p>
<p>除了计算s1s2的字符和外计算相对位移和加s1字符减s2字符等方法都有此问题。</p>
<h4 id="方案代码"><a href="#方案代码" class="headerlink" title="方案代码"></a>方案代码</h4><p>解法:</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br></pre></td><td class="code"><pre><span class="line">class Solution:</span><br><span class="line"> def CheckPermutation(self, s1: str, s2: str) -&gt; bool:</span><br><span class="line"> if len(s1) != len(s2):</span><br><span class="line"> return False</span><br><span class="line"> </span><br><span class="line"> base = set(s1+s2)</span><br><span class="line"> for b in base:</span><br><span class="line"> if s1.count(b) != s2.count(b):</span><br><span class="line"> return False</span><br><span class="line"> return True</span><br></pre></td></tr></table></figure>
<p>另外含高级数据结构的三种解法</p>
<p>解法1:</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br></pre></td><td class="code"><pre><span class="line">class Solution:</span><br><span class="line"> def CheckPermutation(self, s1: str, s2: str) -&gt; bool:</span><br><span class="line"> from collections import Counter</span><br><span class="line"> return Counter(s1) == Counter(s2)</span><br></pre></td></tr></table></figure>
<p>解法2:</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br></pre></td><td class="code"><pre><span class="line">class Solution:</span><br><span class="line"> def CheckPermutation(self, s1: str, s2: str) -&gt; bool:</span><br><span class="line"> return sorted(s1) == sorted(s2)</span><br></pre></td></tr></table></figure>
<p>解法3:</p>
<figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br></pre></td><td class="code"><pre><span class="line">class Solution:</span><br><span class="line"> def CheckPermutation(self, s1: str, s2: str) -&gt; bool:</span><br><span class="line"> import string</span><br><span class="line"> if len(s1) != len(s2):</span><br><span class="line"> return False</span><br><span class="line"> </span><br><span class="line"> for b in string.ascii_lowercase:</span><br><span class="line"> if s1.count(b) != s2.count(b):</span><br><span class="line"> return False</span><br><span class="line"> return True</span><br></pre></td></tr></table></figure>
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