This commit is contained in:
krahets 2023-07-12 03:53:27 +08:00
parent 2c96e433e2
commit 8a7ab32f93
9 changed files with 330 additions and 16 deletions

View file

@ -2372,7 +2372,7 @@ dp[i, c] = \max(dp[i-1, c], dp[i, c - wgt[i-1]] + val[i-1])
<div class="tabbed-set tabbed-alternate" data-tabs="2:6"><input checked="checked" id="__tabbed_2_1" name="__tabbed_2" type="radio" /><input id="__tabbed_2_2" name="__tabbed_2" type="radio" /><input id="__tabbed_2_3" name="__tabbed_2" type="radio" /><input id="__tabbed_2_4" name="__tabbed_2" type="radio" /><input id="__tabbed_2_5" name="__tabbed_2" type="radio" /><input id="__tabbed_2_6" name="__tabbed_2" type="radio" /><div class="tabbed-labels"><label for="__tabbed_2_1">&lt;1&gt;</label><label for="__tabbed_2_2">&lt;2&gt;</label><label for="__tabbed_2_3">&lt;3&gt;</label><label for="__tabbed_2_4">&lt;4&gt;</label><label for="__tabbed_2_5">&lt;5&gt;</label><label for="__tabbed_2_6">&lt;6&gt;</label></div> <div class="tabbed-set tabbed-alternate" data-tabs="2:6"><input checked="checked" id="__tabbed_2_1" name="__tabbed_2" type="radio" /><input id="__tabbed_2_2" name="__tabbed_2" type="radio" /><input id="__tabbed_2_3" name="__tabbed_2" type="radio" /><input id="__tabbed_2_4" name="__tabbed_2" type="radio" /><input id="__tabbed_2_5" name="__tabbed_2" type="radio" /><input id="__tabbed_2_6" name="__tabbed_2" type="radio" /><div class="tabbed-labels"><label for="__tabbed_2_1">&lt;1&gt;</label><label for="__tabbed_2_2">&lt;2&gt;</label><label for="__tabbed_2_3">&lt;3&gt;</label><label for="__tabbed_2_4">&lt;4&gt;</label><label for="__tabbed_2_5">&lt;5&gt;</label><label for="__tabbed_2_6">&lt;6&gt;</label></div>
<div class="tabbed-content"> <div class="tabbed-content">
<div class="tabbed-block"> <div class="tabbed-block">
<p><img alt="unbounded_knapsack_dp_comp_step1" src="../unbounded_knapsack_problem.assets/unbounded_knapsack_dp_comp_step1.png" /></p> <p><img alt="完全背包的状态压缩后的动态规划过程" src="../unbounded_knapsack_problem.assets/unbounded_knapsack_dp_comp_step1.png" /></p>
</div> </div>
<div class="tabbed-block"> <div class="tabbed-block">
<p><img alt="unbounded_knapsack_dp_comp_step2" src="../unbounded_knapsack_problem.assets/unbounded_knapsack_dp_comp_step2.png" /></p> <p><img alt="unbounded_knapsack_dp_comp_step2" src="../unbounded_knapsack_problem.assets/unbounded_knapsack_dp_comp_step2.png" /></p>
@ -2640,7 +2640,7 @@ dp[i, a] = \min(dp[i-1, a], dp[i, a - coins[i-1]] + 1)
<div class="tabbed-set tabbed-alternate" data-tabs="5:15"><input checked="checked" id="__tabbed_5_1" name="__tabbed_5" type="radio" /><input id="__tabbed_5_2" name="__tabbed_5" type="radio" /><input id="__tabbed_5_3" name="__tabbed_5" type="radio" /><input id="__tabbed_5_4" name="__tabbed_5" type="radio" /><input id="__tabbed_5_5" name="__tabbed_5" type="radio" /><input id="__tabbed_5_6" name="__tabbed_5" type="radio" /><input id="__tabbed_5_7" name="__tabbed_5" type="radio" /><input id="__tabbed_5_8" name="__tabbed_5" type="radio" /><input id="__tabbed_5_9" name="__tabbed_5" type="radio" /><input id="__tabbed_5_10" name="__tabbed_5" type="radio" /><input id="__tabbed_5_11" name="__tabbed_5" type="radio" /><input id="__tabbed_5_12" name="__tabbed_5" type="radio" /><input id="__tabbed_5_13" name="__tabbed_5" type="radio" /><input id="__tabbed_5_14" name="__tabbed_5" type="radio" /><input id="__tabbed_5_15" name="__tabbed_5" type="radio" /><div class="tabbed-labels"><label for="__tabbed_5_1">&lt;1&gt;</label><label for="__tabbed_5_2">&lt;2&gt;</label><label for="__tabbed_5_3">&lt;3&gt;</label><label for="__tabbed_5_4">&lt;4&gt;</label><label for="__tabbed_5_5">&lt;5&gt;</label><label for="__tabbed_5_6">&lt;6&gt;</label><label for="__tabbed_5_7">&lt;7&gt;</label><label for="__tabbed_5_8">&lt;8&gt;</label><label for="__tabbed_5_9">&lt;9&gt;</label><label for="__tabbed_5_10">&lt;10&gt;</label><label for="__tabbed_5_11">&lt;11&gt;</label><label for="__tabbed_5_12">&lt;12&gt;</label><label for="__tabbed_5_13">&lt;13&gt;</label><label for="__tabbed_5_14">&lt;14&gt;</label><label for="__tabbed_5_15">&lt;15&gt;</label></div> <div class="tabbed-set tabbed-alternate" data-tabs="5:15"><input checked="checked" id="__tabbed_5_1" name="__tabbed_5" type="radio" /><input id="__tabbed_5_2" name="__tabbed_5" type="radio" /><input id="__tabbed_5_3" name="__tabbed_5" type="radio" /><input id="__tabbed_5_4" name="__tabbed_5" type="radio" /><input id="__tabbed_5_5" name="__tabbed_5" type="radio" /><input id="__tabbed_5_6" name="__tabbed_5" type="radio" /><input id="__tabbed_5_7" name="__tabbed_5" type="radio" /><input id="__tabbed_5_8" name="__tabbed_5" type="radio" /><input id="__tabbed_5_9" name="__tabbed_5" type="radio" /><input id="__tabbed_5_10" name="__tabbed_5" type="radio" /><input id="__tabbed_5_11" name="__tabbed_5" type="radio" /><input id="__tabbed_5_12" name="__tabbed_5" type="radio" /><input id="__tabbed_5_13" name="__tabbed_5" type="radio" /><input id="__tabbed_5_14" name="__tabbed_5" type="radio" /><input id="__tabbed_5_15" name="__tabbed_5" type="radio" /><div class="tabbed-labels"><label for="__tabbed_5_1">&lt;1&gt;</label><label for="__tabbed_5_2">&lt;2&gt;</label><label for="__tabbed_5_3">&lt;3&gt;</label><label for="__tabbed_5_4">&lt;4&gt;</label><label for="__tabbed_5_5">&lt;5&gt;</label><label for="__tabbed_5_6">&lt;6&gt;</label><label for="__tabbed_5_7">&lt;7&gt;</label><label for="__tabbed_5_8">&lt;8&gt;</label><label for="__tabbed_5_9">&lt;9&gt;</label><label for="__tabbed_5_10">&lt;10&gt;</label><label for="__tabbed_5_11">&lt;11&gt;</label><label for="__tabbed_5_12">&lt;12&gt;</label><label for="__tabbed_5_13">&lt;13&gt;</label><label for="__tabbed_5_14">&lt;14&gt;</label><label for="__tabbed_5_15">&lt;15&gt;</label></div>
<div class="tabbed-content"> <div class="tabbed-content">
<div class="tabbed-block"> <div class="tabbed-block">
<p><img alt="coin_change_dp_step1" src="../unbounded_knapsack_problem.assets/coin_change_dp_step1.png" /></p> <p><img alt="零钱兑换问题的动态规划过程" src="../unbounded_knapsack_problem.assets/coin_change_dp_step1.png" /></p>
</div> </div>
<div class="tabbed-block"> <div class="tabbed-block">
<p><img alt="coin_change_dp_step2" src="../unbounded_knapsack_problem.assets/coin_change_dp_step2.png" /></p> <p><img alt="coin_change_dp_step2" src="../unbounded_knapsack_problem.assets/coin_change_dp_step2.png" /></p>

View file

@ -2804,7 +2804,181 @@
</code></pre></div> </code></pre></div>
</div> </div>
<div class="tabbed-block"> <div class="tabbed-block">
<div class="highlight"><span class="filename">graph_adjacency_matrix.c</span><pre><span></span><code><a id="__codelineno-6-1" name="__codelineno-6-1" href="#__codelineno-6-1"></a><span class="p">[</span><span class="n">class</span><span class="p">]{</span><span class="n">graphAdjMat</span><span class="p">}</span><span class="o">-</span><span class="p">[</span><span class="n">func</span><span class="p">]{}</span> <div class="highlight"><span class="filename">graph_adjacency_matrix.c</span><pre><span></span><code><a id="__codelineno-6-1" name="__codelineno-6-1" href="#__codelineno-6-1"></a><span class="cm">/* 基于邻接矩阵实现的无向图类结构 */</span>
<a id="__codelineno-6-2" name="__codelineno-6-2" href="#__codelineno-6-2"></a><span class="k">struct</span><span class="w"> </span><span class="nc">graphAdjMat</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-3" name="__codelineno-6-3" href="#__codelineno-6-3"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="n">vertices</span><span class="p">;</span>
<a id="__codelineno-6-4" name="__codelineno-6-4" href="#__codelineno-6-4"></a><span class="w"> </span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">**</span><span class="n">adjMat</span><span class="p">;</span>
<a id="__codelineno-6-5" name="__codelineno-6-5" href="#__codelineno-6-5"></a><span class="w"> </span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">size</span><span class="p">;</span>
<a id="__codelineno-6-6" name="__codelineno-6-6" href="#__codelineno-6-6"></a><span class="w"> </span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">capacity</span><span class="p">;</span>
<a id="__codelineno-6-7" name="__codelineno-6-7" href="#__codelineno-6-7"></a><span class="p">};</span>
<a id="__codelineno-6-8" name="__codelineno-6-8" href="#__codelineno-6-8"></a>
<a id="__codelineno-6-9" name="__codelineno-6-9" href="#__codelineno-6-9"></a><span class="k">typedef</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">graphAdjMat</span><span class="w"> </span><span class="n">graphAdjMat</span><span class="p">;</span>
<a id="__codelineno-6-10" name="__codelineno-6-10" href="#__codelineno-6-10"></a>
<a id="__codelineno-6-11" name="__codelineno-6-11" href="#__codelineno-6-11"></a><span class="cm">/* 添加边 */</span>
<a id="__codelineno-6-12" name="__codelineno-6-12" href="#__codelineno-6-12"></a><span class="kt">void</span><span class="w"> </span><span class="nf">addEdge</span><span class="p">(</span><span class="n">graphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-13" name="__codelineno-6-13" href="#__codelineno-6-13"></a><span class="w"> </span><span class="c1">// 越界检查</span>
<a id="__codelineno-6-14" name="__codelineno-6-14" href="#__codelineno-6-14"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&gt;=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">&gt;=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-15" name="__codelineno-6-15" href="#__codelineno-6-15"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;Out of range in %s:%d</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">__FILE__</span><span class="p">,</span><span class="w"> </span><span class="n">__LINE__</span><span class="p">);</span>
<a id="__codelineno-6-16" name="__codelineno-6-16" href="#__codelineno-6-16"></a><span class="w"> </span><span class="n">exit</span><span class="p">(</span><span class="mi">1</span><span class="p">);</span>
<a id="__codelineno-6-17" name="__codelineno-6-17" href="#__codelineno-6-17"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-18" name="__codelineno-6-18" href="#__codelineno-6-18"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
<a id="__codelineno-6-19" name="__codelineno-6-19" href="#__codelineno-6-19"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
<a id="__codelineno-6-20" name="__codelineno-6-20" href="#__codelineno-6-20"></a><span class="p">}</span>
<a id="__codelineno-6-21" name="__codelineno-6-21" href="#__codelineno-6-21"></a>
<a id="__codelineno-6-22" name="__codelineno-6-22" href="#__codelineno-6-22"></a><span class="cm">/* 删除边 */</span>
<a id="__codelineno-6-23" name="__codelineno-6-23" href="#__codelineno-6-23"></a><span class="kt">void</span><span class="w"> </span><span class="nf">removeEdge</span><span class="p">(</span><span class="n">graphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-24" name="__codelineno-6-24" href="#__codelineno-6-24"></a><span class="w"> </span><span class="c1">// 越界检查</span>
<a id="__codelineno-6-25" name="__codelineno-6-25" href="#__codelineno-6-25"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&gt;=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">&gt;=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-26" name="__codelineno-6-26" href="#__codelineno-6-26"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;Out of range in %s:%d</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">__FILE__</span><span class="p">,</span><span class="w"> </span><span class="n">__LINE__</span><span class="p">);</span>
<a id="__codelineno-6-27" name="__codelineno-6-27" href="#__codelineno-6-27"></a><span class="w"> </span><span class="n">exit</span><span class="p">(</span><span class="mi">1</span><span class="p">);</span>
<a id="__codelineno-6-28" name="__codelineno-6-28" href="#__codelineno-6-28"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-29" name="__codelineno-6-29" href="#__codelineno-6-29"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
<a id="__codelineno-6-30" name="__codelineno-6-30" href="#__codelineno-6-30"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
<a id="__codelineno-6-31" name="__codelineno-6-31" href="#__codelineno-6-31"></a><span class="p">}</span>
<a id="__codelineno-6-32" name="__codelineno-6-32" href="#__codelineno-6-32"></a>
<a id="__codelineno-6-33" name="__codelineno-6-33" href="#__codelineno-6-33"></a><span class="cm">/* 添加顶点 */</span>
<a id="__codelineno-6-34" name="__codelineno-6-34" href="#__codelineno-6-34"></a><span class="kt">void</span><span class="w"> </span><span class="nf">addVertex</span><span class="p">(</span><span class="n">graphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">val</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-35" name="__codelineno-6-35" href="#__codelineno-6-35"></a><span class="w"> </span><span class="c1">// 如果实际使用不大于预设空间,则直接初始化新空间</span>
<a id="__codelineno-6-36" name="__codelineno-6-36" href="#__codelineno-6-36"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">capacity</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-37" name="__codelineno-6-37" href="#__codelineno-6-37"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">vertices</span><span class="p">[</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">val</span><span class="p">;</span>
<a id="__codelineno-6-38" name="__codelineno-6-38" href="#__codelineno-6-38"></a>
<a id="__codelineno-6-39" name="__codelineno-6-39" href="#__codelineno-6-39"></a><span class="w"> </span><span class="c1">// 邻接矩新列阵置0</span>
<a id="__codelineno-6-40" name="__codelineno-6-40" href="#__codelineno-6-40"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-41" name="__codelineno-6-41" href="#__codelineno-6-41"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
<a id="__codelineno-6-42" name="__codelineno-6-42" href="#__codelineno-6-42"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-43" name="__codelineno-6-43" href="#__codelineno-6-43"></a><span class="w"> </span><span class="n">memset</span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">],</span><span class="w"> </span><span class="mi">0</span><span class="p">,</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">));</span>
<a id="__codelineno-6-44" name="__codelineno-6-44" href="#__codelineno-6-44"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="o">++</span><span class="p">;</span>
<a id="__codelineno-6-45" name="__codelineno-6-45" href="#__codelineno-6-45"></a><span class="w"> </span><span class="k">return</span><span class="p">;</span>
<a id="__codelineno-6-46" name="__codelineno-6-46" href="#__codelineno-6-46"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-47" name="__codelineno-6-47" href="#__codelineno-6-47"></a>
<a id="__codelineno-6-48" name="__codelineno-6-48" href="#__codelineno-6-48"></a><span class="w"> </span><span class="c1">// 扩容,申请新的顶点数组</span>
<a id="__codelineno-6-49" name="__codelineno-6-49" href="#__codelineno-6-49"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="n">temp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="n">malloc</span><span class="p">(</span><span class="k">sizeof</span><span class="p">(</span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">));</span>
<a id="__codelineno-6-50" name="__codelineno-6-50" href="#__codelineno-6-50"></a><span class="w"> </span><span class="n">memcpy</span><span class="p">(</span><span class="n">temp</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">vertices</span><span class="p">,</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">);</span>
<a id="__codelineno-6-51" name="__codelineno-6-51" href="#__codelineno-6-51"></a><span class="w"> </span><span class="n">temp</span><span class="p">[</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">val</span><span class="p">;</span>
<a id="__codelineno-6-52" name="__codelineno-6-52" href="#__codelineno-6-52"></a>
<a id="__codelineno-6-53" name="__codelineno-6-53" href="#__codelineno-6-53"></a><span class="w"> </span><span class="c1">// 释放原数组</span>
<a id="__codelineno-6-54" name="__codelineno-6-54" href="#__codelineno-6-54"></a><span class="w"> </span><span class="n">free</span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">vertices</span><span class="p">);</span>
<a id="__codelineno-6-55" name="__codelineno-6-55" href="#__codelineno-6-55"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">vertices</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">temp</span><span class="p">;</span>
<a id="__codelineno-6-56" name="__codelineno-6-56" href="#__codelineno-6-56"></a>
<a id="__codelineno-6-57" name="__codelineno-6-57" href="#__codelineno-6-57"></a><span class="w"> </span><span class="c1">// 扩容,申请新的二维数组</span>
<a id="__codelineno-6-58" name="__codelineno-6-58" href="#__codelineno-6-58"></a><span class="w"> </span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">**</span><span class="n">tempMat</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">**</span><span class="p">)</span><span class="n">malloc</span><span class="p">(</span><span class="k">sizeof</span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">);</span>
<a id="__codelineno-6-59" name="__codelineno-6-59" href="#__codelineno-6-59"></a><span class="w"> </span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="n">tempMatLine</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="n">malloc</span><span class="p">(</span><span class="k">sizeof</span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">));</span>
<a id="__codelineno-6-60" name="__codelineno-6-60" href="#__codelineno-6-60"></a><span class="w"> </span><span class="n">memset</span><span class="p">(</span><span class="n">tempMatLine</span><span class="p">,</span><span class="w"> </span><span class="mi">0</span><span class="p">,</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">));</span>
<a id="__codelineno-6-61" name="__codelineno-6-61" href="#__codelineno-6-61"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">k</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">k</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">;</span><span class="w"> </span><span class="n">k</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-62" name="__codelineno-6-62" href="#__codelineno-6-62"></a><span class="w"> </span><span class="n">tempMat</span><span class="p">[</span><span class="n">k</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">tempMatLine</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">k</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">);</span>
<a id="__codelineno-6-63" name="__codelineno-6-63" href="#__codelineno-6-63"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-64" name="__codelineno-6-64" href="#__codelineno-6-64"></a>
<a id="__codelineno-6-65" name="__codelineno-6-65" href="#__codelineno-6-65"></a><span class="w"> </span><span class="c1">// 原数据复制到新数组</span>
<a id="__codelineno-6-66" name="__codelineno-6-66" href="#__codelineno-6-66"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-67" name="__codelineno-6-67" href="#__codelineno-6-67"></a><span class="w"> </span><span class="n">memcpy</span><span class="p">(</span><span class="n">tempMat</span><span class="p">[</span><span class="n">i</span><span class="p">],</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">],</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">);</span>
<a id="__codelineno-6-68" name="__codelineno-6-68" href="#__codelineno-6-68"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-69" name="__codelineno-6-69" href="#__codelineno-6-69"></a>
<a id="__codelineno-6-70" name="__codelineno-6-70" href="#__codelineno-6-70"></a><span class="w"> </span><span class="c1">// 新列置0</span>
<a id="__codelineno-6-71" name="__codelineno-6-71" href="#__codelineno-6-71"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-72" name="__codelineno-6-72" href="#__codelineno-6-72"></a><span class="w"> </span><span class="n">tempMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
<a id="__codelineno-6-73" name="__codelineno-6-73" href="#__codelineno-6-73"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-74" name="__codelineno-6-74" href="#__codelineno-6-74"></a><span class="w"> </span><span class="n">memset</span><span class="p">(</span><span class="n">tempMat</span><span class="p">[</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">],</span><span class="w"> </span><span class="mi">0</span><span class="p">,</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">));</span>
<a id="__codelineno-6-75" name="__codelineno-6-75" href="#__codelineno-6-75"></a>
<a id="__codelineno-6-76" name="__codelineno-6-76" href="#__codelineno-6-76"></a><span class="w"> </span><span class="c1">// 释放原数组</span>
<a id="__codelineno-6-77" name="__codelineno-6-77" href="#__codelineno-6-77"></a><span class="w"> </span><span class="n">free</span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="mi">0</span><span class="p">]);</span>
<a id="__codelineno-6-78" name="__codelineno-6-78" href="#__codelineno-6-78"></a><span class="w"> </span><span class="n">free</span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">);</span>
<a id="__codelineno-6-79" name="__codelineno-6-79" href="#__codelineno-6-79"></a>
<a id="__codelineno-6-80" name="__codelineno-6-80" href="#__codelineno-6-80"></a><span class="w"> </span><span class="c1">// 扩容后,指向新地址</span>
<a id="__codelineno-6-81" name="__codelineno-6-81" href="#__codelineno-6-81"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">tempMat</span><span class="p">;</span>
<a id="__codelineno-6-82" name="__codelineno-6-82" href="#__codelineno-6-82"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">capacity</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">;</span>
<a id="__codelineno-6-83" name="__codelineno-6-83" href="#__codelineno-6-83"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="o">++</span><span class="p">;</span>
<a id="__codelineno-6-84" name="__codelineno-6-84" href="#__codelineno-6-84"></a><span class="p">}</span>
<a id="__codelineno-6-85" name="__codelineno-6-85" href="#__codelineno-6-85"></a>
<a id="__codelineno-6-86" name="__codelineno-6-86" href="#__codelineno-6-86"></a><span class="cm">/* 删除顶点 */</span>
<a id="__codelineno-6-87" name="__codelineno-6-87" href="#__codelineno-6-87"></a><span class="kt">void</span><span class="w"> </span><span class="nf">removeVertex</span><span class="p">(</span><span class="n">graphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-88" name="__codelineno-6-88" href="#__codelineno-6-88"></a><span class="w"> </span><span class="c1">// 越界检查</span>
<a id="__codelineno-6-89" name="__codelineno-6-89" href="#__codelineno-6-89"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">index</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">index</span><span class="w"> </span><span class="o">&gt;=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-90" name="__codelineno-6-90" href="#__codelineno-6-90"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;Out of range in %s:%d</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">__FILE__</span><span class="p">,</span><span class="w"> </span><span class="n">__LINE__</span><span class="p">);</span>
<a id="__codelineno-6-91" name="__codelineno-6-91" href="#__codelineno-6-91"></a><span class="w"> </span><span class="n">exit</span><span class="p">(</span><span class="mi">1</span><span class="p">);</span>
<a id="__codelineno-6-92" name="__codelineno-6-92" href="#__codelineno-6-92"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-93" name="__codelineno-6-93" href="#__codelineno-6-93"></a>
<a id="__codelineno-6-94" name="__codelineno-6-94" href="#__codelineno-6-94"></a><span class="w"> </span><span class="c1">// 清除删除的顶点,并将其后所有顶点前移</span>
<a id="__codelineno-6-95" name="__codelineno-6-95" href="#__codelineno-6-95"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-96" name="__codelineno-6-96" href="#__codelineno-6-96"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">vertices</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">vertices</span><span class="p">[</span><span class="n">i</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">];</span>
<a id="__codelineno-6-97" name="__codelineno-6-97" href="#__codelineno-6-97"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-98" name="__codelineno-6-98" href="#__codelineno-6-98"></a>
<a id="__codelineno-6-99" name="__codelineno-6-99" href="#__codelineno-6-99"></a><span class="w"> </span><span class="c1">// 将被前移的最后一个顶点置0</span>
<a id="__codelineno-6-100" name="__codelineno-6-100" href="#__codelineno-6-100"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">vertices</span><span class="p">[</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
<a id="__codelineno-6-101" name="__codelineno-6-101" href="#__codelineno-6-101"></a>
<a id="__codelineno-6-102" name="__codelineno-6-102" href="#__codelineno-6-102"></a><span class="w"> </span><span class="c1">// 清除邻接矩阵中删除的列</span>
<a id="__codelineno-6-103" name="__codelineno-6-103" href="#__codelineno-6-103"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-104" name="__codelineno-6-104" href="#__codelineno-6-104"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-105" name="__codelineno-6-105" href="#__codelineno-6-105"></a><span class="w"> </span><span class="c1">// 被删除列后的所有列前移</span>
<a id="__codelineno-6-106" name="__codelineno-6-106" href="#__codelineno-6-106"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-107" name="__codelineno-6-107" href="#__codelineno-6-107"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">];</span>
<a id="__codelineno-6-108" name="__codelineno-6-108" href="#__codelineno-6-108"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-109" name="__codelineno-6-109" href="#__codelineno-6-109"></a><span class="w"> </span><span class="p">}</span><span class="w"> </span><span class="k">else</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-110" name="__codelineno-6-110" href="#__codelineno-6-110"></a><span class="w"> </span><span class="c1">// 被删除行的下方所有行上移</span>
<a id="__codelineno-6-111" name="__codelineno-6-111" href="#__codelineno-6-111"></a><span class="w"> </span><span class="n">memcpy</span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">],</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">],</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">);</span>
<a id="__codelineno-6-112" name="__codelineno-6-112" href="#__codelineno-6-112"></a><span class="w"> </span><span class="c1">// 被删除列后的所有列前移</span>
<a id="__codelineno-6-113" name="__codelineno-6-113" href="#__codelineno-6-113"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-114" name="__codelineno-6-114" href="#__codelineno-6-114"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">];</span>
<a id="__codelineno-6-115" name="__codelineno-6-115" href="#__codelineno-6-115"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-116" name="__codelineno-6-116" href="#__codelineno-6-116"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-117" name="__codelineno-6-117" href="#__codelineno-6-117"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-118" name="__codelineno-6-118" href="#__codelineno-6-118"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="o">--</span><span class="p">;</span>
<a id="__codelineno-6-119" name="__codelineno-6-119" href="#__codelineno-6-119"></a><span class="p">}</span>
<a id="__codelineno-6-120" name="__codelineno-6-120" href="#__codelineno-6-120"></a>
<a id="__codelineno-6-121" name="__codelineno-6-121" href="#__codelineno-6-121"></a><span class="cm">/* 打印顶点与邻接矩阵 */</span>
<a id="__codelineno-6-122" name="__codelineno-6-122" href="#__codelineno-6-122"></a><span class="kt">void</span><span class="w"> </span><span class="nf">printGraph</span><span class="p">(</span><span class="n">graphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="n">t</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-123" name="__codelineno-6-123" href="#__codelineno-6-123"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">0</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-124" name="__codelineno-6-124" href="#__codelineno-6-124"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;graph is empty</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">);</span>
<a id="__codelineno-6-125" name="__codelineno-6-125" href="#__codelineno-6-125"></a><span class="w"> </span><span class="k">return</span><span class="p">;</span>
<a id="__codelineno-6-126" name="__codelineno-6-126" href="#__codelineno-6-126"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-127" name="__codelineno-6-127" href="#__codelineno-6-127"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;顶点列表 = [&quot;</span><span class="p">);</span>
<a id="__codelineno-6-128" name="__codelineno-6-128" href="#__codelineno-6-128"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-129" name="__codelineno-6-129" href="#__codelineno-6-129"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-130" name="__codelineno-6-130" href="#__codelineno-6-130"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;%d, &quot;</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">vertices</span><span class="p">[</span><span class="n">i</span><span class="p">]);</span>
<a id="__codelineno-6-131" name="__codelineno-6-131" href="#__codelineno-6-131"></a><span class="w"> </span><span class="p">}</span><span class="w"> </span><span class="k">else</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-132" name="__codelineno-6-132" href="#__codelineno-6-132"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;%d&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">vertices</span><span class="p">[</span><span class="n">i</span><span class="p">]);</span>
<a id="__codelineno-6-133" name="__codelineno-6-133" href="#__codelineno-6-133"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-134" name="__codelineno-6-134" href="#__codelineno-6-134"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-135" name="__codelineno-6-135" href="#__codelineno-6-135"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;]</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">);</span>
<a id="__codelineno-6-136" name="__codelineno-6-136" href="#__codelineno-6-136"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;邻接矩阵 =</span><span class="se">\n</span><span class="s">[</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">);</span>
<a id="__codelineno-6-137" name="__codelineno-6-137" href="#__codelineno-6-137"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-138" name="__codelineno-6-138" href="#__codelineno-6-138"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot; [&quot;</span><span class="p">);</span>
<a id="__codelineno-6-139" name="__codelineno-6-139" href="#__codelineno-6-139"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-140" name="__codelineno-6-140" href="#__codelineno-6-140"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">j</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-141" name="__codelineno-6-141" href="#__codelineno-6-141"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;%u, &quot;</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]);</span>
<a id="__codelineno-6-142" name="__codelineno-6-142" href="#__codelineno-6-142"></a><span class="w"> </span><span class="p">}</span><span class="w"> </span><span class="k">else</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-143" name="__codelineno-6-143" href="#__codelineno-6-143"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;%u&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]);</span>
<a id="__codelineno-6-144" name="__codelineno-6-144" href="#__codelineno-6-144"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-145" name="__codelineno-6-145" href="#__codelineno-6-145"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-146" name="__codelineno-6-146" href="#__codelineno-6-146"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;],</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">);</span>
<a id="__codelineno-6-147" name="__codelineno-6-147" href="#__codelineno-6-147"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-148" name="__codelineno-6-148" href="#__codelineno-6-148"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;]</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">);</span>
<a id="__codelineno-6-149" name="__codelineno-6-149" href="#__codelineno-6-149"></a><span class="p">}</span>
<a id="__codelineno-6-150" name="__codelineno-6-150" href="#__codelineno-6-150"></a>
<a id="__codelineno-6-151" name="__codelineno-6-151" href="#__codelineno-6-151"></a><span class="cm">/* 构造函数 */</span>
<a id="__codelineno-6-152" name="__codelineno-6-152" href="#__codelineno-6-152"></a><span class="n">graphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="nf">newGraphic</span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">numberVertices</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="n">vertices</span><span class="p">,</span><span class="w"> </span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">**</span><span class="n">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-153" name="__codelineno-6-153" href="#__codelineno-6-153"></a><span class="w"> </span><span class="c1">// 函数指针</span>
<a id="__codelineno-6-154" name="__codelineno-6-154" href="#__codelineno-6-154"></a><span class="w"> </span><span class="n">graphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="n">newGraph</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">graphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="n">malloc</span><span class="p">(</span><span class="k">sizeof</span><span class="p">(</span><span class="n">graphAdjMat</span><span class="p">));</span>
<a id="__codelineno-6-155" name="__codelineno-6-155" href="#__codelineno-6-155"></a>
<a id="__codelineno-6-156" name="__codelineno-6-156" href="#__codelineno-6-156"></a><span class="w"> </span><span class="c1">// 申请内存</span>
<a id="__codelineno-6-157" name="__codelineno-6-157" href="#__codelineno-6-157"></a><span class="w"> </span><span class="n">newGraph</span><span class="o">-&gt;</span><span class="n">vertices</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="n">malloc</span><span class="p">(</span><span class="k">sizeof</span><span class="p">(</span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">numberVertices</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">);</span>
<a id="__codelineno-6-158" name="__codelineno-6-158" href="#__codelineno-6-158"></a><span class="w"> </span><span class="n">newGraph</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">**</span><span class="p">)</span><span class="n">malloc</span><span class="p">(</span><span class="k">sizeof</span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">numberVertices</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">);</span>
<a id="__codelineno-6-159" name="__codelineno-6-159" href="#__codelineno-6-159"></a><span class="w"> </span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="n">temp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="n">malloc</span><span class="p">(</span><span class="k">sizeof</span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">numberVertices</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">numberVertices</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">);</span>
<a id="__codelineno-6-160" name="__codelineno-6-160" href="#__codelineno-6-160"></a><span class="w"> </span><span class="n">newGraph</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">numberVertices</span><span class="p">;</span>
<a id="__codelineno-6-161" name="__codelineno-6-161" href="#__codelineno-6-161"></a><span class="w"> </span><span class="n">newGraph</span><span class="o">-&gt;</span><span class="n">capacity</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">numberVertices</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">;</span>
<a id="__codelineno-6-162" name="__codelineno-6-162" href="#__codelineno-6-162"></a>
<a id="__codelineno-6-163" name="__codelineno-6-163" href="#__codelineno-6-163"></a><span class="w"> </span><span class="c1">// 配置二维数组</span>
<a id="__codelineno-6-164" name="__codelineno-6-164" href="#__codelineno-6-164"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">numberVertices</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-165" name="__codelineno-6-165" href="#__codelineno-6-165"></a><span class="w"> </span><span class="n">newGraph</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">temp</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">numberVertices</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">;</span>
<a id="__codelineno-6-166" name="__codelineno-6-166" href="#__codelineno-6-166"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-167" name="__codelineno-6-167" href="#__codelineno-6-167"></a>
<a id="__codelineno-6-168" name="__codelineno-6-168" href="#__codelineno-6-168"></a><span class="w"> </span><span class="c1">// 赋值</span>
<a id="__codelineno-6-169" name="__codelineno-6-169" href="#__codelineno-6-169"></a><span class="w"> </span><span class="n">memcpy</span><span class="p">(</span><span class="n">newGraph</span><span class="o">-&gt;</span><span class="n">vertices</span><span class="p">,</span><span class="w"> </span><span class="n">vertices</span><span class="p">,</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">numberVertices</span><span class="p">);</span>
<a id="__codelineno-6-170" name="__codelineno-6-170" href="#__codelineno-6-170"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">numberVertices</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-6-171" name="__codelineno-6-171" href="#__codelineno-6-171"></a><span class="w"> </span><span class="n">memcpy</span><span class="p">(</span><span class="n">newGraph</span><span class="o">-&gt;</span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">],</span><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">],</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">numberVertices</span><span class="p">);</span>
<a id="__codelineno-6-172" name="__codelineno-6-172" href="#__codelineno-6-172"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-6-173" name="__codelineno-6-173" href="#__codelineno-6-173"></a>
<a id="__codelineno-6-174" name="__codelineno-6-174" href="#__codelineno-6-174"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">newGraph</span><span class="p">;</span>
<a id="__codelineno-6-175" name="__codelineno-6-175" href="#__codelineno-6-175"></a><span class="p">}</span>
</code></pre></div> </code></pre></div>
</div> </div>
<div class="tabbed-block"> <div class="tabbed-block">
@ -3592,7 +3766,135 @@
</code></pre></div> </code></pre></div>
</div> </div>
<div class="tabbed-block"> <div class="tabbed-block">
<div class="highlight"><span class="filename">graph_adjacency_list.c</span><pre><span></span><code><a id="__codelineno-17-1" name="__codelineno-17-1" href="#__codelineno-17-1"></a><span class="p">[</span><span class="n">class</span><span class="p">]{</span><span class="n">graphAdjList</span><span class="p">}</span><span class="o">-</span><span class="p">[</span><span class="n">func</span><span class="p">]{}</span> <div class="highlight"><span class="filename">graph_adjacency_list.c</span><pre><span></span><code><a id="__codelineno-17-1" name="__codelineno-17-1" href="#__codelineno-17-1"></a><span class="cm">/* 基于邻接链表实现的无向图类结构 */</span>
<a id="__codelineno-17-2" name="__codelineno-17-2" href="#__codelineno-17-2"></a><span class="k">struct</span><span class="w"> </span><span class="nc">graphAdjList</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-3" name="__codelineno-17-3" href="#__codelineno-17-3"></a><span class="w"> </span><span class="c1">// 顶点列表</span>
<a id="__codelineno-17-4" name="__codelineno-17-4" href="#__codelineno-17-4"></a><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">**</span><span class="n">verticesList</span><span class="p">;</span>
<a id="__codelineno-17-5" name="__codelineno-17-5" href="#__codelineno-17-5"></a><span class="w"> </span><span class="c1">// 顶点数量</span>
<a id="__codelineno-17-6" name="__codelineno-17-6" href="#__codelineno-17-6"></a><span class="w"> </span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">size</span><span class="p">;</span>
<a id="__codelineno-17-7" name="__codelineno-17-7" href="#__codelineno-17-7"></a><span class="w"> </span><span class="c1">// 当前容量</span>
<a id="__codelineno-17-8" name="__codelineno-17-8" href="#__codelineno-17-8"></a><span class="w"> </span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">capacity</span><span class="p">;</span>
<a id="__codelineno-17-9" name="__codelineno-17-9" href="#__codelineno-17-9"></a><span class="p">};</span>
<a id="__codelineno-17-10" name="__codelineno-17-10" href="#__codelineno-17-10"></a>
<a id="__codelineno-17-11" name="__codelineno-17-11" href="#__codelineno-17-11"></a><span class="k">typedef</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">graphAdjList</span><span class="w"> </span><span class="n">graphAdjList</span><span class="p">;</span>
<a id="__codelineno-17-12" name="__codelineno-17-12" href="#__codelineno-17-12"></a>
<a id="__codelineno-17-13" name="__codelineno-17-13" href="#__codelineno-17-13"></a><span class="cm">/* 添加边 */</span>
<a id="__codelineno-17-14" name="__codelineno-17-14" href="#__codelineno-17-14"></a><span class="kt">void</span><span class="w"> </span><span class="nf">addEdge</span><span class="p">(</span><span class="n">graphAdjList</span><span class="w"> </span><span class="o">*</span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-15" name="__codelineno-17-15" href="#__codelineno-17-15"></a><span class="w"> </span><span class="c1">// 越界检查</span>
<a id="__codelineno-17-16" name="__codelineno-17-16" href="#__codelineno-17-16"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&gt;=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">&gt;=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-17" name="__codelineno-17-17" href="#__codelineno-17-17"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;Out of range in %s:%d</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">__FILE__</span><span class="p">,</span><span class="w"> </span><span class="n">__LINE__</span><span class="p">);</span>
<a id="__codelineno-17-18" name="__codelineno-17-18" href="#__codelineno-17-18"></a><span class="w"> </span><span class="k">return</span><span class="p">;</span>
<a id="__codelineno-17-19" name="__codelineno-17-19" href="#__codelineno-17-19"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-17-20" name="__codelineno-17-20" href="#__codelineno-17-20"></a><span class="w"> </span><span class="c1">// 查找待连接的节点</span>
<a id="__codelineno-17-21" name="__codelineno-17-21" href="#__codelineno-17-21"></a><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">v1</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="p">[</span><span class="n">i</span><span class="p">];</span>
<a id="__codelineno-17-22" name="__codelineno-17-22" href="#__codelineno-17-22"></a><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">v2</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="p">[</span><span class="n">j</span><span class="p">];</span>
<a id="__codelineno-17-23" name="__codelineno-17-23" href="#__codelineno-17-23"></a>
<a id="__codelineno-17-24" name="__codelineno-17-24" href="#__codelineno-17-24"></a><span class="w"> </span><span class="c1">// 连接节点</span>
<a id="__codelineno-17-25" name="__codelineno-17-25" href="#__codelineno-17-25"></a><span class="w"> </span><span class="n">pushBack</span><span class="p">(</span><span class="n">v1</span><span class="o">-&gt;</span><span class="n">linked</span><span class="p">,</span><span class="w"> </span><span class="n">v2</span><span class="p">);</span>
<a id="__codelineno-17-26" name="__codelineno-17-26" href="#__codelineno-17-26"></a><span class="w"> </span><span class="n">pushBack</span><span class="p">(</span><span class="n">v2</span><span class="o">-&gt;</span><span class="n">linked</span><span class="p">,</span><span class="w"> </span><span class="n">v1</span><span class="p">);</span>
<a id="__codelineno-17-27" name="__codelineno-17-27" href="#__codelineno-17-27"></a><span class="p">}</span>
<a id="__codelineno-17-28" name="__codelineno-17-28" href="#__codelineno-17-28"></a>
<a id="__codelineno-17-29" name="__codelineno-17-29" href="#__codelineno-17-29"></a><span class="cm">/* 删除边 */</span>
<a id="__codelineno-17-30" name="__codelineno-17-30" href="#__codelineno-17-30"></a><span class="kt">void</span><span class="w"> </span><span class="nf">removeEdge</span><span class="p">(</span><span class="n">graphAdjList</span><span class="w"> </span><span class="o">*</span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-31" name="__codelineno-17-31" href="#__codelineno-17-31"></a><span class="w"> </span><span class="c1">// 越界检查</span>
<a id="__codelineno-17-32" name="__codelineno-17-32" href="#__codelineno-17-32"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&gt;=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">&gt;=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-33" name="__codelineno-17-33" href="#__codelineno-17-33"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;Out of range in %s:%d</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">__FILE__</span><span class="p">,</span><span class="w"> </span><span class="n">__LINE__</span><span class="p">);</span>
<a id="__codelineno-17-34" name="__codelineno-17-34" href="#__codelineno-17-34"></a><span class="w"> </span><span class="k">return</span><span class="p">;</span>
<a id="__codelineno-17-35" name="__codelineno-17-35" href="#__codelineno-17-35"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-17-36" name="__codelineno-17-36" href="#__codelineno-17-36"></a>
<a id="__codelineno-17-37" name="__codelineno-17-37" href="#__codelineno-17-37"></a><span class="w"> </span><span class="c1">// 查找待删除边的相关节点</span>
<a id="__codelineno-17-38" name="__codelineno-17-38" href="#__codelineno-17-38"></a><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">v1</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="p">[</span><span class="n">i</span><span class="p">];</span>
<a id="__codelineno-17-39" name="__codelineno-17-39" href="#__codelineno-17-39"></a><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">v2</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="p">[</span><span class="n">j</span><span class="p">];</span>
<a id="__codelineno-17-40" name="__codelineno-17-40" href="#__codelineno-17-40"></a>
<a id="__codelineno-17-41" name="__codelineno-17-41" href="#__codelineno-17-41"></a><span class="w"> </span><span class="c1">// 移除待删除边</span>
<a id="__codelineno-17-42" name="__codelineno-17-42" href="#__codelineno-17-42"></a><span class="w"> </span><span class="n">removeLink</span><span class="p">(</span><span class="n">v1</span><span class="o">-&gt;</span><span class="n">linked</span><span class="p">,</span><span class="w"> </span><span class="n">v2</span><span class="p">);</span>
<a id="__codelineno-17-43" name="__codelineno-17-43" href="#__codelineno-17-43"></a><span class="w"> </span><span class="n">removeLink</span><span class="p">(</span><span class="n">v2</span><span class="o">-&gt;</span><span class="n">linked</span><span class="p">,</span><span class="w"> </span><span class="n">v1</span><span class="p">);</span>
<a id="__codelineno-17-44" name="__codelineno-17-44" href="#__codelineno-17-44"></a><span class="p">}</span>
<a id="__codelineno-17-45" name="__codelineno-17-45" href="#__codelineno-17-45"></a>
<a id="__codelineno-17-46" name="__codelineno-17-46" href="#__codelineno-17-46"></a><span class="cm">/* 添加顶点 */</span>
<a id="__codelineno-17-47" name="__codelineno-17-47" href="#__codelineno-17-47"></a><span class="kt">void</span><span class="w"> </span><span class="nf">addVertex</span><span class="p">(</span><span class="n">graphAdjList</span><span class="w"> </span><span class="o">*</span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">val</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-48" name="__codelineno-17-48" href="#__codelineno-17-48"></a><span class="w"> </span><span class="c1">// 若大小超过容量,则扩容</span>
<a id="__codelineno-17-49" name="__codelineno-17-49" href="#__codelineno-17-49"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">&gt;=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">capacity</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-50" name="__codelineno-17-50" href="#__codelineno-17-50"></a><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">**</span><span class="n">tempList</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="o">**</span><span class="p">)</span><span class="n">malloc</span><span class="p">(</span><span class="k">sizeof</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">capacity</span><span class="p">);</span>
<a id="__codelineno-17-51" name="__codelineno-17-51" href="#__codelineno-17-51"></a><span class="w"> </span><span class="n">memcpy</span><span class="p">(</span><span class="n">tempList</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="p">,</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">);</span>
<a id="__codelineno-17-52" name="__codelineno-17-52" href="#__codelineno-17-52"></a><span class="w"> </span><span class="n">free</span><span class="p">(</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="p">);</span>
<a id="__codelineno-17-53" name="__codelineno-17-53" href="#__codelineno-17-53"></a><span class="w"> </span><span class="c1">// 指向新顶点表</span>
<a id="__codelineno-17-54" name="__codelineno-17-54" href="#__codelineno-17-54"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">tempList</span><span class="p">;</span><span class="w"> </span>
<a id="__codelineno-17-55" name="__codelineno-17-55" href="#__codelineno-17-55"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">capacity</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">capacity</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="mi">2</span><span class="p">;</span>
<a id="__codelineno-17-56" name="__codelineno-17-56" href="#__codelineno-17-56"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-17-57" name="__codelineno-17-57" href="#__codelineno-17-57"></a><span class="w"> </span><span class="c1">// 申请新顶点内存并将新顶点地址存入顶点列表</span>
<a id="__codelineno-17-58" name="__codelineno-17-58" href="#__codelineno-17-58"></a><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">newV</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">newVertex</span><span class="p">(</span><span class="n">val</span><span class="p">);</span>
<a id="__codelineno-17-59" name="__codelineno-17-59" href="#__codelineno-17-59"></a><span class="w"> </span><span class="n">newV</span><span class="o">-&gt;</span><span class="n">pos</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">;</span>
<a id="__codelineno-17-60" name="__codelineno-17-60" href="#__codelineno-17-60"></a><span class="w"> </span><span class="n">newV</span><span class="o">-&gt;</span><span class="n">linked</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">newLinklist</span><span class="p">(</span><span class="n">newV</span><span class="p">);</span>
<a id="__codelineno-17-61" name="__codelineno-17-61" href="#__codelineno-17-61"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="p">[</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">newV</span><span class="p">;</span>
<a id="__codelineno-17-62" name="__codelineno-17-62" href="#__codelineno-17-62"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="o">++</span><span class="p">;</span>
<a id="__codelineno-17-63" name="__codelineno-17-63" href="#__codelineno-17-63"></a><span class="p">}</span>
<a id="__codelineno-17-64" name="__codelineno-17-64" href="#__codelineno-17-64"></a>
<a id="__codelineno-17-65" name="__codelineno-17-65" href="#__codelineno-17-65"></a><span class="cm">/* 删除顶点 */</span>
<a id="__codelineno-17-66" name="__codelineno-17-66" href="#__codelineno-17-66"></a><span class="kt">void</span><span class="w"> </span><span class="nf">removeVertex</span><span class="p">(</span><span class="n">graphAdjList</span><span class="w"> </span><span class="o">*</span><span class="n">t</span><span class="p">,</span><span class="w"> </span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-67" name="__codelineno-17-67" href="#__codelineno-17-67"></a><span class="w"> </span><span class="c1">// 越界检查</span>
<a id="__codelineno-17-68" name="__codelineno-17-68" href="#__codelineno-17-68"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">index</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">index</span><span class="w"> </span><span class="o">&gt;=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-69" name="__codelineno-17-69" href="#__codelineno-17-69"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;Out of range in %s:%d</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">__FILE__</span><span class="p">,</span><span class="w"> </span><span class="n">__LINE__</span><span class="p">);</span>
<a id="__codelineno-17-70" name="__codelineno-17-70" href="#__codelineno-17-70"></a><span class="w"> </span><span class="n">exit</span><span class="p">(</span><span class="mi">1</span><span class="p">);</span>
<a id="__codelineno-17-71" name="__codelineno-17-71" href="#__codelineno-17-71"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-17-72" name="__codelineno-17-72" href="#__codelineno-17-72"></a>
<a id="__codelineno-17-73" name="__codelineno-17-73" href="#__codelineno-17-73"></a><span class="w"> </span><span class="c1">// 查找待删节点</span>
<a id="__codelineno-17-74" name="__codelineno-17-74" href="#__codelineno-17-74"></a><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">v</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="p">[</span><span class="n">index</span><span class="p">];</span>
<a id="__codelineno-17-75" name="__codelineno-17-75" href="#__codelineno-17-75"></a><span class="w"> </span><span class="c1">// 若不存在该节点,则返回</span>
<a id="__codelineno-17-76" name="__codelineno-17-76" href="#__codelineno-17-76"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">v</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="mi">0</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-77" name="__codelineno-17-77" href="#__codelineno-17-77"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;index is:%d</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">index</span><span class="p">);</span>
<a id="__codelineno-17-78" name="__codelineno-17-78" href="#__codelineno-17-78"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;Out of range in %s:%d</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">__FILE__</span><span class="p">,</span><span class="w"> </span><span class="n">__LINE__</span><span class="p">);</span>
<a id="__codelineno-17-79" name="__codelineno-17-79" href="#__codelineno-17-79"></a><span class="w"> </span><span class="k">return</span><span class="p">;</span>
<a id="__codelineno-17-80" name="__codelineno-17-80" href="#__codelineno-17-80"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-17-81" name="__codelineno-17-81" href="#__codelineno-17-81"></a>
<a id="__codelineno-17-82" name="__codelineno-17-82" href="#__codelineno-17-82"></a><span class="w"> </span><span class="c1">// 遍历待删除节点链表,将所有与待删除结点有关的边删除</span>
<a id="__codelineno-17-83" name="__codelineno-17-83" href="#__codelineno-17-83"></a><span class="w"> </span><span class="n">Node</span><span class="w"> </span><span class="o">*</span><span class="n">temp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">v</span><span class="o">-&gt;</span><span class="n">linked</span><span class="o">-&gt;</span><span class="n">head</span><span class="o">-&gt;</span><span class="n">next</span><span class="p">;</span>
<a id="__codelineno-17-84" name="__codelineno-17-84" href="#__codelineno-17-84"></a><span class="w"> </span><span class="k">while</span><span class="w"> </span><span class="p">(</span><span class="n">temp</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="mi">0</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-85" name="__codelineno-17-85" href="#__codelineno-17-85"></a><span class="w"> </span><span class="n">removeLink</span><span class="p">(</span><span class="n">temp</span><span class="o">-&gt;</span><span class="n">val</span><span class="o">-&gt;</span><span class="n">linked</span><span class="p">,</span><span class="w"> </span><span class="n">v</span><span class="p">);</span>
<a id="__codelineno-17-86" name="__codelineno-17-86" href="#__codelineno-17-86"></a><span class="w"> </span><span class="n">temp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">temp</span><span class="o">-&gt;</span><span class="n">next</span><span class="p">;</span>
<a id="__codelineno-17-87" name="__codelineno-17-87" href="#__codelineno-17-87"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-17-88" name="__codelineno-17-88" href="#__codelineno-17-88"></a>
<a id="__codelineno-17-89" name="__codelineno-17-89" href="#__codelineno-17-89"></a><span class="w"> </span><span class="c1">// 定点列表前移</span>
<a id="__codelineno-17-90" name="__codelineno-17-90" href="#__codelineno-17-90"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-91" name="__codelineno-17-91" href="#__codelineno-17-91"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="p">[</span><span class="n">i</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">];</span>
<a id="__codelineno-17-92" name="__codelineno-17-92" href="#__codelineno-17-92"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-17-93" name="__codelineno-17-93" href="#__codelineno-17-93"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="p">[</span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
<a id="__codelineno-17-94" name="__codelineno-17-94" href="#__codelineno-17-94"></a><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="o">--</span><span class="p">;</span>
<a id="__codelineno-17-95" name="__codelineno-17-95" href="#__codelineno-17-95"></a>
<a id="__codelineno-17-96" name="__codelineno-17-96" href="#__codelineno-17-96"></a><span class="w"> </span><span class="c1">//释放被删除顶点的内存</span>
<a id="__codelineno-17-97" name="__codelineno-17-97" href="#__codelineno-17-97"></a><span class="w"> </span><span class="n">freeVertex</span><span class="p">(</span><span class="n">v</span><span class="p">);</span>
<a id="__codelineno-17-98" name="__codelineno-17-98" href="#__codelineno-17-98"></a><span class="p">}</span>
<a id="__codelineno-17-99" name="__codelineno-17-99" href="#__codelineno-17-99"></a>
<a id="__codelineno-17-100" name="__codelineno-17-100" href="#__codelineno-17-100"></a><span class="cm">/* 打印顶点与邻接矩阵 */</span>
<a id="__codelineno-17-101" name="__codelineno-17-101" href="#__codelineno-17-101"></a><span class="kt">void</span><span class="w"> </span><span class="nf">printGraph</span><span class="p">(</span><span class="n">graphAdjList</span><span class="w"> </span><span class="o">*</span><span class="n">t</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-102" name="__codelineno-17-102" href="#__codelineno-17-102"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;邻接表 =</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">);</span>
<a id="__codelineno-17-103" name="__codelineno-17-103" href="#__codelineno-17-103"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-104" name="__codelineno-17-104" href="#__codelineno-17-104"></a><span class="w"> </span><span class="n">Node</span><span class="w"> </span><span class="o">*</span><span class="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">-&gt;</span><span class="n">linked</span><span class="o">-&gt;</span><span class="n">head</span><span class="o">-&gt;</span><span class="n">next</span><span class="p">;</span>
<a id="__codelineno-17-105" name="__codelineno-17-105" href="#__codelineno-17-105"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;%d: [&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">t</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">-&gt;</span><span class="n">val</span><span class="p">);</span>
<a id="__codelineno-17-106" name="__codelineno-17-106" href="#__codelineno-17-106"></a><span class="w"> </span><span class="k">while</span><span class="w"> </span><span class="p">(</span><span class="n">n</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="mi">0</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-107" name="__codelineno-17-107" href="#__codelineno-17-107"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">n</span><span class="o">-&gt;</span><span class="n">next</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="mi">0</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-108" name="__codelineno-17-108" href="#__codelineno-17-108"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;%d, &quot;</span><span class="p">,</span><span class="w"> </span><span class="n">n</span><span class="o">-&gt;</span><span class="n">val</span><span class="o">-&gt;</span><span class="n">val</span><span class="p">);</span>
<a id="__codelineno-17-109" name="__codelineno-17-109" href="#__codelineno-17-109"></a><span class="w"> </span><span class="p">}</span><span class="w"> </span><span class="k">else</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-110" name="__codelineno-17-110" href="#__codelineno-17-110"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;%d&quot;</span><span class="p">,</span><span class="w"> </span><span class="n">n</span><span class="o">-&gt;</span><span class="n">val</span><span class="o">-&gt;</span><span class="n">val</span><span class="p">);</span>
<a id="__codelineno-17-111" name="__codelineno-17-111" href="#__codelineno-17-111"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-17-112" name="__codelineno-17-112" href="#__codelineno-17-112"></a><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">n</span><span class="o">-&gt;</span><span class="n">next</span><span class="p">;</span>
<a id="__codelineno-17-113" name="__codelineno-17-113" href="#__codelineno-17-113"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-17-114" name="__codelineno-17-114" href="#__codelineno-17-114"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">&quot;]</span><span class="se">\n</span><span class="s">&quot;</span><span class="p">);</span>
<a id="__codelineno-17-115" name="__codelineno-17-115" href="#__codelineno-17-115"></a><span class="w"> </span><span class="p">}</span>
<a id="__codelineno-17-116" name="__codelineno-17-116" href="#__codelineno-17-116"></a><span class="p">}</span>
<a id="__codelineno-17-117" name="__codelineno-17-117" href="#__codelineno-17-117"></a>
<a id="__codelineno-17-118" name="__codelineno-17-118" href="#__codelineno-17-118"></a><span class="cm">/* 构造函数 */</span>
<a id="__codelineno-17-119" name="__codelineno-17-119" href="#__codelineno-17-119"></a><span class="n">graphAdjList</span><span class="w"> </span><span class="o">*</span><span class="nf">newGraphic</span><span class="p">(</span><span class="kt">unsigned</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">verticesNumber</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
<a id="__codelineno-17-120" name="__codelineno-17-120" href="#__codelineno-17-120"></a><span class="w"> </span><span class="c1">// 申请内存</span>
<a id="__codelineno-17-121" name="__codelineno-17-121" href="#__codelineno-17-121"></a><span class="w"> </span><span class="n">graphAdjList</span><span class="w"> </span><span class="o">*</span><span class="n">newGraph</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">graphAdjList</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="n">malloc</span><span class="p">(</span><span class="k">sizeof</span><span class="p">(</span><span class="n">graphAdjList</span><span class="p">));</span>
<a id="__codelineno-17-122" name="__codelineno-17-122" href="#__codelineno-17-122"></a><span class="w"> </span><span class="c1">// 建立顶点表并分配内存</span>
<a id="__codelineno-17-123" name="__codelineno-17-123" href="#__codelineno-17-123"></a><span class="w"> </span><span class="n">newGraph</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="o">**</span><span class="p">)</span><span class="n">malloc</span><span class="p">(</span><span class="k">sizeof</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">verticesNumber</span><span class="p">);</span>
<a id="__codelineno-17-124" name="__codelineno-17-124" href="#__codelineno-17-124"></a><span class="w"> </span><span class="n">memset</span><span class="p">(</span><span class="n">newGraph</span><span class="o">-&gt;</span><span class="n">verticesList</span><span class="p">,</span><span class="w"> </span><span class="mi">0</span><span class="p">,</span><span class="w"> </span><span class="k">sizeof</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">verticesNumber</span><span class="p">);</span>
<a id="__codelineno-17-125" name="__codelineno-17-125" href="#__codelineno-17-125"></a><span class="w"> </span><span class="c1">// 初始化大小和容量</span>
<a id="__codelineno-17-126" name="__codelineno-17-126" href="#__codelineno-17-126"></a><span class="w"> </span><span class="n">newGraph</span><span class="o">-&gt;</span><span class="n">size</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
<a id="__codelineno-17-127" name="__codelineno-17-127" href="#__codelineno-17-127"></a><span class="w"> </span><span class="n">newGraph</span><span class="o">-&gt;</span><span class="n">capacity</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">verticesNumber</span><span class="p">;</span>
<a id="__codelineno-17-128" name="__codelineno-17-128" href="#__codelineno-17-128"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">newGraph</span><span class="p">;</span>
<a id="__codelineno-17-129" name="__codelineno-17-129" href="#__codelineno-17-129"></a><span class="p">}</span>
</code></pre></div> </code></pre></div>
</div> </div>
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<h1 id="11">1.1. &nbsp; 算法无处不在<a class="headerlink" href="#11" title="Permanent link">&para;</a></h1> <h1 id="11">1.1. &nbsp; 算法无处不在<a class="headerlink" href="#11" title="Permanent link">&para;</a></h1>
<p>当我们听到“算法”这个词时,很自然地会想到数学。然而实际上,许多算法并不涉及复杂数学,而是更多地依赖于基本逻辑,这些逻辑在我们的日常生活中处处可见。</p> <p>当我们听到“算法”这个词时,很自然地会想到数学。然而实际上,许多算法并不涉及复杂数学,而是更多地依赖于基本逻辑,这些逻辑在我们的日常生活中处处可见。</p>
<p>在正式探讨算法之前,有一个有趣的事实值得分享:<strong>你已经在不知不觉中学会了许多算法,并习惯将它们应用到日常生活中了</strong>。下面,我将举几个具体例子来证实这一点。</p> <p>在正式探讨算法之前,有一个有趣的事实值得分享:<strong>你已经在不知不觉中学会了许多算法,并习惯将它们应用到日常生活中了</strong>。下面,我将举几个具体例子来证实这一点。</p>
<p><strong>例一:拼装积木</strong>。一套积木,除了包含许多零件之外,还附有详细的组装说明书。我们按照说明书一步步操作,就能组装出精美的积木模型。</p> <p><strong>例一:查阅字典</strong>。在字典里,每个汉字都对应一个拼音,而字典是按照拼音的英文字母顺序排列的。假设我们需要查找一个拼音首字母为 <span class="arithmatex">\(r\)</span> 的字,通常会这样操作:</p>
<p>从数据结构与算法的角度来看,积木的各种形状和连接方式代表数据结构,而组装说明书上的一系列步骤则是算法。</p>
<p><img alt="拼装积木" src="../algorithms_are_everywhere.assets/assembling_blocks.jpg" /></p>
<p align="center"> Fig. 拼装积木 </p>
<p><strong>例二:查阅字典</strong>。在字典里,每个汉字都对应一个拼音,而字典是按照拼音的英文字母顺序排列的。假设我们需要查找一个拼音首字母为 <span class="arithmatex">\(r\)</span> 的字,通常会这样操作:</p>
<ol> <ol>
<li>翻开字典约一半的页数,查看该页首字母是什么(假设<span class="arithmatex">\(m\)</span> </li> <li>翻开字典约一半的页数,查看该页首字母是什么,假设首字母为 <span class="arithmatex">\(m\)</span></li>
<li>由于在英文字母表中 <span class="arithmatex">\(r\)</span> 位于 <span class="arithmatex">\(m\)</span> 之后,所以排除字典前半部分,查找范围缩小到后半部分</li> <li>由于在英文字母表中 <span class="arithmatex">\(r\)</span> 位于 <span class="arithmatex">\(m\)</span> 之后,所以排除字典前半部分,查找范围缩小到后半部分。</li>
<li>不断重复步骤 1-2 ,直至找到拼音首字母为 <span class="arithmatex">\(r\)</span> 的页码为止。</li> <li>不断重复步骤 1-2 ,直至找到拼音首字母为 <span class="arithmatex">\(r\)</span> 的页码为止。</li>
</ol> </ol>
<div class="tabbed-set tabbed-alternate" data-tabs="1:5"><input checked="checked" id="__tabbed_1_1" name="__tabbed_1" type="radio" /><input id="__tabbed_1_2" name="__tabbed_1" type="radio" /><input id="__tabbed_1_3" name="__tabbed_1" type="radio" /><input id="__tabbed_1_4" name="__tabbed_1" type="radio" /><input id="__tabbed_1_5" name="__tabbed_1" type="radio" /><div class="tabbed-labels"><label for="__tabbed_1_1">&lt;1&gt;</label><label for="__tabbed_1_2">&lt;2&gt;</label><label for="__tabbed_1_3">&lt;3&gt;</label><label for="__tabbed_1_4">&lt;4&gt;</label><label for="__tabbed_1_5">&lt;5&gt;</label></div> <div class="tabbed-set tabbed-alternate" data-tabs="1:5"><input checked="checked" id="__tabbed_1_1" name="__tabbed_1" type="radio" /><input id="__tabbed_1_2" name="__tabbed_1" type="radio" /><input id="__tabbed_1_3" name="__tabbed_1" type="radio" /><input id="__tabbed_1_4" name="__tabbed_1" type="radio" /><input id="__tabbed_1_5" name="__tabbed_1" type="radio" /><div class="tabbed-labels"><label for="__tabbed_1_1">&lt;1&gt;</label><label for="__tabbed_1_2">&lt;2&gt;</label><label for="__tabbed_1_3">&lt;3&gt;</label><label for="__tabbed_1_4">&lt;4&gt;</label><label for="__tabbed_1_5">&lt;5&gt;</label></div>
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</div> </div>
</div> </div>
<p>查阅字典这个小学生必备技能,实际上就是著名的「二分查找」。从数据结构的角度,我们可以把字典视为一个已排序的「数组」;从算法的角度,我们可以将上述查字典的一系列操作看作是「二分查找」算法。</p> <p>查阅字典这个小学生必备技能,实际上就是著名的「二分查找」。从数据结构的角度,我们可以把字典视为一个已排序的「数组」;从算法的角度,我们可以将上述查字典的一系列操作看作是「二分查找」算法。</p>
<p><strong>例二:整理扑克</strong>。我们在打斗地主时,每局都需要整理扑克牌,使其从小到大排列,实现流程如下:</p>
<ol>
<li>将扑克牌划分为“有序”和“无序”两部分,并假设初始状态下最左 1 张扑克牌已经有序。</li>
<li>在无序区间抽出一张扑克牌,插入至有序区间的正确位置;完成后最左 2 张扑克已经有序。</li>
<li>在无序区间抽出一张扑克牌,插入至有序区间的正确位置;完成后最左 3 张扑克已经有序。</li>
<li>不断循环以上操作,直至所有扑克牌都有序后终止。</li>
</ol>
<p>以上整理扑克牌的方法本质上就是「插入排序」,它在处理小型数据集时非常高效,因此插入排序常作为编程语言的排序库函数的重要组成部分。</p>
<p><img alt="扑克排序步骤" src="../algorithms_are_everywhere.assets/playing_cards_sorting.png" /></p>
<p align="center"> Fig. 扑克排序步骤 </p>
<p><strong>例三:货币找零</strong>。假设我们在超市购买了 <span class="arithmatex">\(69\)</span> 元的商品,给收银员付了 <span class="arithmatex">\(100\)</span> 元,则收银员需要给我们找 <span class="arithmatex">\(31\)</span> 元。他会很自然地完成以下思考:</p> <p><strong>例三:货币找零</strong>。假设我们在超市购买了 <span class="arithmatex">\(69\)</span> 元的商品,给收银员付了 <span class="arithmatex">\(100\)</span> 元,则收银员需要给我们找 <span class="arithmatex">\(31\)</span> 元。他会很自然地完成以下思考:</p>
<ol> <ol>
<li>可选项是比 <span class="arithmatex">\(31\)</span> 元面值更小的货币,包括 <span class="arithmatex">\(1\)</span> , <span class="arithmatex">\(5\)</span> , <span class="arithmatex">\(10\)</span> , <span class="arithmatex">\(20\)</span> 元。</li> <li>可选项是比 <span class="arithmatex">\(31\)</span> 元面值更小的货币,包括 <span class="arithmatex">\(1\)</span> , <span class="arithmatex">\(5\)</span> , <span class="arithmatex">\(10\)</span> , <span class="arithmatex">\(20\)</span> 元。</li>
@ -2214,8 +2220,8 @@
<li>完成找零,方案为 <span class="arithmatex">\(20 + 10 + 1 = 31\)</span> 元。</li> <li>完成找零,方案为 <span class="arithmatex">\(20 + 10 + 1 = 31\)</span> 元。</li>
</ol> </ol>
<p>在以上步骤中,我们每一步都采取当前看来最好的选择(尽可能用大面额的货币),最终得到了可行的找零方案。从数据结构与算法的角度看,这种方法本质上是「贪心算法」。</p> <p>在以上步骤中,我们每一步都采取当前看来最好的选择(尽可能用大面额的货币),最终得到了可行的找零方案。从数据结构与算法的角度看,这种方法本质上是「贪心算法」。</p>
<p><img alt="货币找零" src="../algorithms_are_everywhere.assets/greedy_change.png" /></p> <p><img alt="货币找零过程" src="../algorithms_are_everywhere.assets/greedy_change.png" /></p>
<p align="center"> Fig. 货币找零 </p> <p align="center"> Fig. 货币找零过程 </p>
<p>小到烹饪一道菜,大到星际航行,几乎所有问题的解决都离不开算法。计算机的出现使我们能够通过编程将数据结构存储在内存中,同时编写代码调用 CPU 和 GPU 执行算法。这样一来,我们就能把生活中的问题转移到计算机上,以更高效的方式解决各种复杂问题。</p> <p>小到烹饪一道菜,大到星际航行,几乎所有问题的解决都离不开算法。计算机的出现使我们能够通过编程将数据结构存储在内存中,同时编写代码调用 CPU 和 GPU 执行算法。这样一来,我们就能把生活中的问题转移到计算机上,以更高效的方式解决各种复杂问题。</p>
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<ul> <ul>
<li>算法在日常生活中无处不在,并不是遥不可及的高深知识。实际上,我们已经在不知不觉中学会了许多算法,用以解决生活中的大小问题。</li> <li>算法在日常生活中无处不在,并不是遥不可及的高深知识。实际上,我们已经在不知不觉中学会了许多算法,用以解决生活中的大小问题。</li>
<li>查阅字典的原理与二分查找算法相一致。二分查找体现了分而治之的重要算法思想。</li> <li>查阅字典的原理与二分查找算法相一致。二分查找体现了分而治之的重要算法思想。</li>
<li>整理扑克的过程与插入排序算法非常类似。插入排序适合排序小型数据集。</li>
<li>货币找零的步骤本质上是贪心算法,每一步都采取当前看来的最好选择。</li>
<li>算法是在有限时间内解决特定问题的一组指令或操作步骤,而数据结构是计算机中组织和存储数据的方式。</li> <li>算法是在有限时间内解决特定问题的一组指令或操作步骤,而数据结构是计算机中组织和存储数据的方式。</li>
<li>数据结构与算法紧密相连。数据结构是算法的基石,而算法则是发挥数据结构作用的舞台。</li> <li>数据结构与算法紧密相连。数据结构是算法的基石,而算法则是发挥数据结构作用的舞台。</li>
<li>乐高积木对应于数据,积木形状和连接方式代表数据结构,拼装积木的步骤则对应算法。</li> <li>乐高积木对应于数据,积木形状和连接方式代表数据结构,拼装积木的步骤则对应算法。</li>

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<p><img alt="数据结构与算法的关系" src="../what_is_dsa.assets/relationship_between_data_structure_and_algorithm.png" /></p> <p><img alt="数据结构与算法的关系" src="../what_is_dsa.assets/relationship_between_data_structure_and_algorithm.png" /></p>
<p align="center"> Fig. 数据结构与算法的关系 </p> <p align="center"> Fig. 数据结构与算法的关系 </p>
<p>类比「LEGO 乐高」和「数据结构与算法」,则对应关系如下表所示。</p> <p>我们可以把数据结构与算法类比为拼装积木。一套积木,除了包含许多零件之外,还附有详细的组装说明书。我们按照说明书一步步操作,就能组装出精美的积木模型。</p>
<p><img alt="拼装积木" src="../what_is_dsa.assets/assembling_blocks.jpg" /></p>
<p align="center"> Fig. 拼装积木 </p>
<p>两者的详细对应关系如下表所示。</p>
<div class="center-table"> <div class="center-table">
<table> <table>
<thead> <thead>

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