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HDU - 1495-非常可乐 （bfs模拟倒水 or 数论）.html
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HDU - 1495-非常可乐 （bfs模拟倒水 or 数论）.html
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class="reading-progress-bar"></div><article class="post post-type-normal" itemscope itemtype="http://schema.org/Article"><div class="post-block"><link itemprop="mainEntityOfPage" href="https://lruihao.cn/posts/HDU - 1495-非常可乐 （bfs模拟倒水 or 数论）.html"><span hidden itemprop="author" itemscope itemtype="http://schema.org/Person"><meta itemprop="name" content="李瑞豪"><meta itemprop="description" content="从ACM到Web，分享程序、技巧、干货，记录心情、学习、成长！"><meta itemprop="image" content="/images/avatar.png"></span><span hidden itemprop="publisher" itemscope itemtype="http://schema.org/Organization"><meta itemprop="name" content="菠菜眾長"></span><header class="post-header"><h2 class="post-title" itemprop="name headline">HDU-1495-非常可乐（bfs模拟倒水or数论）<a href="https://github.com/Lruihao/lruihao.github.io/tree/hexo/source/_posts/HDU - 1495-非常可乐 （bfs模拟倒水 or 数论）.md" class="post-edit-link" title="编辑" rel="external nofollow noopener noreferrer" target="_blank"><i class="fa fa-pencil"></i></a></h2><div class="post-meta"><span class="post-time"><span class="post-meta-item-icon"><i class="fa fa-calendar-o"></i> </span><span class="post-meta-item-text">发表于</span> <time title="创建时间：2018-07-24 15:34:00" itemprop="dateCreated datePublished" datetime="2018-07-24T15:34:00+08:00">2018-07-24</time> </span><span class="post-category"><span class="post-meta-divider">|</span> <span class="post-meta-item-icon"><i class="fa fa-folder-o"></i> </span><span class="post-meta-item-text">分类于</span> <span itemprop="about" itemscope itemtype="http://schema.org/Thing"><a href="/categories/ACM/" itemprop="url" rel="index"><span itemprop="name">ACM</span></a></span> ， <span itemprop="about" itemscope itemtype="http://schema.org/Thing"><a href="/categories/ACM/搜索/" itemprop="url" rel="index"><span itemprop="name">搜索</span></a></span> </span><span class="post-comments-count"><span class="post-meta-divider">|</span> <span class="post-meta-item-icon"><i class="fa fa-comment-o"></i> </span><span class="post-meta-item-text">评论数： </span><a href="/posts/HDU - 1495-非常可乐 （bfs模拟倒水 or 数论）.html#comments" itemprop="discussionUrl"><span class="post-comments-count valine-comment-count" data-xid="/posts/HDU - 1495-非常可乐 （bfs模拟倒水 or 数论）.html" itemprop="commentCount"></span> </a></span><span id="/posts/HDU - 1495-非常可乐 （bfs模拟倒水 or 数论）.html" class="leancloud_visitors" data-flag-title="HDU-1495-非常可乐（bfs模拟倒水or数论）"><span class="post-meta-divider">|</span> <span title="阅读次数"><span class="post-meta-item-icon"><i class="fa fa-eye"></i> </span><span class="post-meta-item-text">阅读次数：</span> <span class="leancloud-visitors-count"></span></span></span><div class="post-symbolscount"><span class="post-meta-divider">|</span> <span class="post-meta-item-icon"><i class="fa fa-file-word-o"></i> </span><span class="post-meta-item-text">本文字数：</span> <span title="本文字数">1,032</span> <span class="post-meta-divider">|</span> <span class="post-meta-item-icon"><i class="fa fa-clock-o"></i> </span><span class="post-meta-item-text">阅读时长 ≈</span> <span title="阅读时长">3 分钟</span></div></div></header><div class="post-body" itemprop="articleBody"><p><a href="http://acm.hdu.edu.cn/showproblem.php?pid=1495" rel="external nofollow noopener noreferrer" target="_blank">非常可乐</a></p><p>大家一定觉的运动以后喝可乐是一件很惬意的事情，但是seeyou却不这么认为。因为每次当seeyou买了可乐以后，阿牛就要求和seeyou一起分享这一瓶可乐，而且一定要喝的和seeyou一样多。但seeyou的手中只有两个杯子，它们的容量分别是N 毫升和M 毫升 可乐的体积为S （S<101）毫升 (正好装满一瓶) ，它们三个之间可以相互倒可乐 (都是没有刻度的，且 S==N+M，101＞S＞0，N＞0，M＞0) 。聪明的ACMER你们说他们能平分吗？如果能请输出倒可乐的最少的次数，如果不能输出”NO”。</p><h3 id="Input"><a href="#Input" class="headerlink" title="Input"></a>Input</h3><p>三个整数 : S 可乐的体积 , N 和 M是两个杯子的容量，以”0 0 0”结束。</p><h3 id="Output"><a href="#Output" class="headerlink" title="Output"></a>Output</h3><p>如果能平分的话请输出最少要倒的次数，否则输出”NO”。</p><h3 id="Sample-Input"><a href="#Sample-Input" class="headerlink" title="Sample Input"></a>Sample Input</h3><p>7 4 3<br>4 1 3<br>0 0 0</p><h3 id="Sample-Output"><a href="#Sample-Output" class="headerlink" title="Sample Output"></a>Sample Output</h3><p>NO<br>3</p><p>模拟一下倒水的过程，一共有三种倒法，a向bc，b向ac，c向ab。(相当于一共六个方向)搜索并记录搜索过的过程就好了。<br></p><figure class="highlight c++"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br><span class="line">14</span><br><span class="line">15</span><br><span class="line">16</span><br><span class="line">17</span><br><span class="line">18</span><br><span class="line">19</span><br><span class="line">20</span><br><span class="line">21</span><br><span class="line">22</span><br><span class="line">23</span><br><span class="line">24</span><br><span class="line">25</span><br><span class="line">26</span><br><span class="line">27</span><br><span class="line">28</span><br><span class="line">29</span><br><span class="line">30</span><br><span class="line">31</span><br><span class="line">32</span><br><span class="line">33</span><br><span class="line">34</span><br><span class="line">35</span><br><span class="line">36</span><br><span class="line">37</span><br><span class="line">38</span><br><span class="line">39</span><br><span class="line">40</span><br><span class="line">41</span><br><span class="line">42</span><br><span class="line">43</span><br><span class="line">44</span><br><span class="line">45</span><br><span class="line">46</span><br><span class="line">47</span><br><span class="line">48</span><br><span class="line">49</span><br><span class="line">50</span><br><span class="line">51</span><br><span class="line">52</span><br><span class="line">53</span><br><span class="line">54</span><br><span class="line">55</span><br><span class="line">56</span><br><span class="line">57</span><br><span class="line">58</span><br><span class="line">59</span><br><span class="line">60</span><br><span class="line">61</span><br><span class="line">62</span><br><span class="line">63</span><br><span class="line">64</span><br><span class="line">65</span><br><span class="line">66</span><br><span class="line">67</span><br><span class="line">68</span><br><span class="line">69</span><br><span class="line">70</span><br><span class="line">71</span><br><span class="line">72</span><br><span class="line">73</span><br><span class="line">74</span><br><span class="line">75</span><br><span class="line">76</span><br><span class="line">77</span><br><span class="line">78</span><br><span class="line">79</span><br><span class="line">80</span><br><span class="line">81</span><br><span class="line">82</span><br><span class="line">83</span><br><span class="line">84</span><br><span class="line">85</span><br><span class="line">86</span><br><span class="line">87</span><br><span class="line">88</span><br><span class="line">89</span><br><span class="line">90</span><br><span class="line">91</span><br><span class="line">92</span><br><span class="line">93</span><br><span class="line">94</span><br><span class="line">95</span><br><span class="line">96</span><br><span class="line">97</span><br><span class="line">98</span><br><span class="line">99</span><br><span class="line">100</span><br><span class="line">101</span><br><span class="line">102</span><br><span class="line">103</span><br><span class="line">104</span><br><span class="line">105</span><br><span class="line">106</span><br><span class="line">107</span><br><span class="line">108</span><br><span class="line">109</span><br><span class="line">110</span><br><span class="line">111</span><br><span class="line">112</span><br><span class="line">113</span><br><span class="line">114</span><br><span class="line">115</span><br><span class="line">116</span><br><span class="line">117</span><br><span class="line">118</span><br><span class="line">119</span><br><span class="line">120</span><br><span class="line">121</span><br><span class="line">122</span><br><span class="line">123</span><br><span class="line">124</span><br><span class="line">125</span><br><span class="line">126</span><br><span class="line">127</span><br><span class="line">128</span><br><span class="line">129</span><br><span class="line">130</span><br><span class="line">131</span><br><span class="line">132</span><br></pre></td><td class="code"><pre><span class="line"><span class="meta">#<span class="meta-keyword">include</span><span class="meta-string"><bits/stdc++.h></span></span></span><br><span class="line"><span class="keyword">using</span> <span class="keyword">namespace</span> <span class="built_in">std</span>;</span><br><span class="line"></span><br><span class="line"><span class="keyword">int</span> a,b,c;</span><br><span class="line"><span class="keyword">int</span> used[<span class="number">111</span>][<span class="number">111</span>][<span class="number">111</span>];</span><br><span class="line"><span class="class"><span class="keyword">struct</span> <span class="title">node</span></span></span><br><span class="line"><span class="class">{</span></span><br><span class="line"> <span class="keyword">int</span> x,y,z;</span><br><span class="line"> <span class="keyword">int</span> step;</span><br><span class="line">}m,n;</span><br><span class="line"></span><br><span class="line"></span><br><span class="line"><span class="function"><span class="keyword">int</span> <span class="title">bfs</span><span class="params">()</span></span></span><br><span class="line"><span class="function"></span>{</span><br><span class="line"> <span class="built_in">queue</span><node>q;</span><br><span class="line"> m.x = a;</span><br><span class="line"> m.y = <span class="number">0</span>;</span><br><span class="line"> m.z = <span class="number">0</span>;</span><br><span class="line"> m.step = <span class="number">0</span>;</span><br><span class="line"> used[a][<span class="number">0</span>][<span class="number">0</span>] = <span class="number">1</span>;</span><br><span class="line"> q.push(m);</span><br><span class="line"> <span class="keyword">while</span> (!q.empty())</span><br><span class="line"> {</span><br><span class="line"> <span class="keyword">int</span> trans; <span class="comment">//倒水量</span></span><br><span class="line"> m = q.front();</span><br><span class="line"> q.pop();</span><br><span class="line"></span><br><span class="line"> <span class="comment">//成功分好的三种情况</span></span><br><span class="line"> <span class="keyword">if</span> ((m.x == <span class="number">0</span> && m.y == m.z) || (m.y == <span class="number">0</span> && m.x == m.z) || (m.z == <span class="number">0</span> && m.x == m.y))</span><br><span class="line"> <span class="keyword">return</span> m.step;</span><br><span class="line"></span><br><span class="line"> <span class="comment">//下面开始6个搜索（由一个杯子向另外两个倒水）</span></span><br><span class="line"> <span class="keyword">if</span> (m.x)</span><br><span class="line"> {</span><br><span class="line"> <span class="comment">//第一</span></span><br><span class="line"> trans = min(m.x , b - m.y);<span class="comment">//自己模拟一下倒水过程就知道了</span></span><br><span class="line"> n.x = m.x - trans;</span><br><span class="line"> n.y = m.y + trans;</span><br><span class="line"> n.z = m.z;</span><br><span class="line"> n.step = m.step + <span class="number">1</span>;</span><br><span class="line"> <span class="keyword">if</span> (!used[n.x][n.y][n.z])</span><br><span class="line"> {</span><br><span class="line"> q.push(n);</span><br><span class="line"> used[n.x][n.y][n.z] = <span class="number">1</span>;</span><br><span class="line"> }</span><br><span class="line"></span><br><span class="line"> <span class="comment">//第二</span></span><br><span class="line"> trans = min(m.x , c - m.z);</span><br><span class="line"> n.x = m.x - trans;</span><br><span class="line"> n.y = m.y;</span><br><span class="line"> n.z = m.z + trans;</span><br><span class="line"> n.step = m.step + <span class="number">1</span>;</span><br><span class="line"> <span class="keyword">if</span> (!used[n.x][n.y][n.z])</span><br><span class="line"> {</span><br><span class="line"> q.push(n);</span><br><span class="line"> used[n.x][n.y][n.z] = <span class="number">1</span>;</span><br><span class="line"> }</span><br><span class="line"> }</span><br><span class="line"> <span class="keyword">if</span> (m.y)</span><br><span class="line"> {</span><br><span class="line"> <span class="comment">//第三</span></span><br><span class="line"> trans = min(m.y , a - m.x);</span><br><span class="line"> n.x = m.x + trans;</span><br><span class="line"> n.y = m.y - trans;</span><br><span class="line"> n.z = m.z;</span><br><span class="line"> n.step = m.step + <span class="number">1</span>;</span><br><span class="line"> <span class="keyword">if</span> (!used[n.x][n.y][n.z])</span><br><span class="line"> {</span><br><span class="line"> used[n.x][n.y][n.z] = <span class="number">1</span>;</span><br><span class="line"> q.push(n);</span><br><span class="line"> }</span><br><span class="line"></span><br><span class="line"> <span class="comment">//第四</span></span><br><span class="line"> trans = min(m.y , c - m.z);</span><br><span class="line"> n.x = m.x;</span><br><span class="line"> n.y = m.y - trans;</span><br><span class="line"> n.z = m.z + trans;</span><br><span class="line"> n.step = m.step + <span class="number">1</span>;</span><br><span class="line"> <span class="keyword">if</span> (!used[n.x][n.y][n.z])</span><br><span class="line"> {</span><br><span class="line"> used[n.x][n.y][n.z] = <span class="number">1</span>;</span><br><span class="line"> q.push(n);</span><br><span class="line"> }</span><br><span class="line"> }</span><br><span class="line"> <span class="keyword">if</span> (m.z)</span><br><span class="line"> {</span><br><span class="line"> <span class="comment">//第五</span></span><br><span class="line"> trans = min(m.z , a - m.x);</span><br><span class="line"> n.x = m.x + trans;</span><br><span class="line"> n.y = m.y;</span><br><span class="line"> n.z = m.z - trans;</span><br><span class="line"> n.step = m.step + <span class="number">1</span>;</span><br><span class="line"> <span class="keyword">if</span> (!used[n.x][n.y][n.z])</span><br><span class="line"> {</span><br><span class="line"> used[n.x][n.y][n.z] = <span class="number">1</span>;</span><br><span class="line"> q.push(n);</span><br><span class="line"> }</span><br><span class="line"></span><br><span class="line"> <span class="comment">//第六</span></span><br><span class="line"> trans = min(m.z , b - m.y);</span><br><span class="line"> n.x = m.x;</span><br><span class="line"> n.y = m.y + trans;</span><br><span class="line"> n.z = m.z - trans;</span><br><span class="line"> n.step = m.step + <span class="number">1</span>;</span><br><span class="line"> <span class="keyword">if</span> (!used[n.x][n.y][n.z])</span><br><span class="line"> {</span><br><span class="line"> q.push(n);</span><br><span class="line"> used[n.x][n.y][n.z] = <span class="number">1</span>;</span><br><span class="line"> }</span><br><span class="line"> }</span><br><span class="line"> }</span><br><span class="line"> <span class="keyword">return</span> <span class="number">0</span>;</span><br><span class="line">}</span><br><span class="line"></span><br><span class="line"><span class="function"><span class="keyword">int</span> <span class="title">main</span><span class="params">()</span></span></span><br><span class="line"><span class="function"></span>{</span><br><span class="line"> <span class="keyword">while</span> (~<span class="built_in">scanf</span> (<span class="string">"%d %d %d"</span>,&a,&b,&c) && (a || b || c))</span><br><span class="line"> {</span><br><span class="line"> <span class="keyword">if</span> (a&<span class="number">1</span>) <span class="comment">//先简单的剪枝一下,奇数肯定不能平分</span></span><br><span class="line"> <span class="built_in">printf</span> (<span class="string">"NO\n"</span>);</span><br><span class="line"> <span class="keyword">else</span></span><br><span class="line"> {</span><br><span class="line"> <span class="built_in">memset</span> (used,<span class="number">0</span>,<span class="keyword">sizeof</span> (used));</span><br><span class="line"> <span class="keyword">int</span> ans = bfs();</span><br><span class="line"> <span class="keyword">if</span> (ans)</span><br><span class="line"> <span class="built_in">printf</span> (<span class="string">"%d\n"</span>,ans);</span><br><span class="line"> <span class="keyword">else</span></span><br><span class="line"> <span class="built_in">printf</span> (<span class="string">"NO\n"</span>);</span><br><span class="line"> }</span><br><span class="line"> }</span><br><span class="line"> <span class="keyword">return</span> <span class="number">0</span>;</span><br><span class="line">}</span><br></pre></td></tr></table></figure><p></p><p>然后杭电上讨论板子上提供一种数论题解，<del>但是数据存在一点问题，只不过有些数据好像不对；比如： 10 6 5的结果应该是1而不是9</del>， 也提示我们多维思考同一个问题！<br><a href="https://blog.csdn.net/V5ZSQ/article/details/52097459" rel="external nofollow noopener noreferrer" target="_blank">数论推导</a><br></p><figure class="highlight plain"><table><tr><td class="gutter"><pre><span class="line">1</span><br><span class="line">2</span><br><span class="line">3</span><br><span class="line">4</span><br><span class="line">5</span><br><span class="line">6</span><br><span class="line">7</span><br><span class="line">8</span><br><span class="line">9</span><br><span class="line">10</span><br><span class="line">11</span><br><span class="line">12</span><br><span class="line">13</span><br></pre></td><td class="code"><pre><span class="line">#include<bits/stdc++.h></span><br><span class="line">using namespace std;</span><br><span class="line"></span><br><span class="line">int main(){</span><br><span class="line"> int s,n,m;</span><br><span class="line"> while(cin>>s>>n>>m,s+n+m){</span><br><span class="line"> s/=__gcd(n,m);</span><br><span class="line"> if(s&1)//奇数</span><br><span class="line"> cout<<"NO\n";</span><br><span class="line"> else cout<<s-1<<endl;</span><br><span class="line"> }</span><br><span class="line"> return 0;</span><br><span class="line">}</span><br></pre></td></tr></table></figure><p></p></div><div class="popular-posts-header"><i class="fa fa-link"></i> 相关文章</div><!--[if !IE]><!--><details><summary style="cursor:pointer">点击查看</summary><!--<![endif]--><ul class="popular-posts"><li class="popular-posts-item"><div class="popular-posts-title"><a href="\posts\hdu-2612-Find-a-way（双bfs）.html" rel="bookmark">hdu-2612-Find a way（双bfs）</a></div></li><li class="popular-posts-item"><div class="popular-posts-title"><a href="\posts\hud-1241-Oil Deposits (dfs).html" rel="bookmark">hud-1241-Oil Deposits (dfs)</a></div></li><li class="popular-posts-item"><div 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