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two sum
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<time title="Created: 2015-01-14 15:39:31" itemprop="dateCreated datePublished" datetime="2015-01-14T15:39:31+08:00">2015-01-14</time>
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<time title="Modified: 2020-01-12 21:08:27" itemprop="dateModified" datetime="2020-01-12T21:08:27+08:00">2020-01-12</time>
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<h3 id="problem"><a href="#problem" class="headerlink" title="problem"></a>problem</h3><p>Given an array of integers, find two numbers such that they add up to a specific target number.</p>
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<p>The function twoSum should return indices of the two numbers such that they add up to the target, where index1 must be less than index2. Please note that your returned answers (both index1 and index2) are not zero-based.</p>
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<a id="more"></a>
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<p>You may assume that each input would have exactly one solution.</p>
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<p><strong>Input</strong>: numbers={2, 7, 11, 15}, target=9<br><strong>Output</strong>: index1=1, index2=2</p>
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<h3 id="code"><a href="#code" class="headerlink" title="code"></a>code</h3><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></pre></td><td class="code"><pre><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> num, pos;</span><br><span class="line">};</span><br><span class="line"><span class="function"><span class="keyword">bool</span> <span class="title">cmp</span><span class="params">(Node a, Node b)</span></span></span><br><span class="line"><span class="function"></span>{</span><br><span class="line"> <span class="keyword">return</span> a.num < b.num;</span><br><span class="line">}</span><br><span class="line"><span class="class"><span class="keyword">class</span> <span class="title">Solution</span> {</span></span><br><span class="line"><span class="keyword">public</span>:</span><br><span class="line"> <span class="built_in">vector</span><<span class="keyword">int</span>> twoSum(<span class="built_in">vector</span><<span class="keyword">int</span>> &numbers, <span class="keyword">int</span> target) {</span><br><span class="line"> <span class="comment">// Start typing your C/C++ solution below</span></span><br><span class="line"> <span class="comment">// DO NOT write int main() function</span></span><br><span class="line"> <span class="built_in">vector</span><<span class="keyword">int</span>> result;</span><br><span class="line"> <span class="built_in">vector</span><Node> <span class="built_in">array</span>;</span><br><span class="line"> <span class="keyword">for</span> (<span class="keyword">int</span> i = <span class="number">0</span>; i < numbers.<span class="built_in">size</span>(); i++)</span><br><span class="line"> {</span><br><span class="line"> Node temp;</span><br><span class="line"> temp.num = numbers[i];</span><br><span class="line"> temp.pos = i;</span><br><span class="line"> <span class="built_in">array</span>.push_back(temp);</span><br><span class="line"> }</span><br><span class="line"></span><br><span class="line"> sort(<span class="built_in">array</span>.<span class="built_in">begin</span>(), <span class="built_in">array</span>.<span class="built_in">end</span>(), cmp);</span><br><span class="line"> <span class="keyword">for</span> (<span class="keyword">int</span> i = <span class="number">0</span>, j = <span class="built_in">array</span>.<span class="built_in">size</span>() - <span class="number">1</span>; i != j;)</span><br><span class="line"> {</span><br><span class="line"> <span class="keyword">int</span> sum = <span class="built_in">array</span>[i].num + <span class="built_in">array</span>[j].num;</span><br><span class="line"> <span class="keyword">if</span> (sum == target)</span><br><span class="line"> {</span><br><span class="line"> <span class="keyword">if</span> (<span class="built_in">array</span>[i].pos < <span class="built_in">array</span>[j].pos)</span><br><span class="line"> {</span><br><span class="line"> result.push_back(<span class="built_in">array</span>[i].pos + <span class="number">1</span>);</span><br><span class="line"> result.push_back(<span class="built_in">array</span>[j].pos + <span class="number">1</span>);</span><br><span class="line"> } <span class="keyword">else</span></span><br><span class="line"> {</span><br><span class="line"> result.push_back(<span class="built_in">array</span>[j].pos + <span class="number">1</span>);</span><br><span class="line"> result.push_back(<span class="built_in">array</span>[i].pos + <span class="number">1</span>);</span><br><span class="line"> }</span><br><span class="line"> <span class="keyword">break</span>;</span><br><span class="line"> } <span class="keyword">else</span> <span class="keyword">if</span> (sum < target)</span><br><span class="line"> {</span><br><span class="line"> i++;</span><br><span class="line"> } <span class="keyword">else</span> <span class="keyword">if</span> (sum > target)</span><br><span class="line"> {</span><br><span class="line"> j--;</span><br><span class="line"> }</span><br><span class="line"> }</span><br><span class="line"> <span class="keyword">return</span> result;</span><br><span class="line"> }</span><br><span class="line">};</span><br></pre></td></tr></table></figure>
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<h3 id="Analysis"><a href="#Analysis" class="headerlink" title="Analysis"></a>Analysis</h3><p>sort the array, then test from head and end, until catch the right answer</p>
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