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two sum
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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>
<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>
<a id="more"></a>
<p>You may assume that each input would have exactly one solution.</p>
<p><strong>Input</strong>: numbers={2, 7, 11, 15}, target=9<br><strong>Output</strong>: index1=1, index2=2</p>
<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">&#123;</span></span><br><span class="line"> <span class="keyword">int</span> num, pos;</span><br><span class="line">&#125;;</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>&#123;</span><br><span class="line"> <span class="keyword">return</span> a.num &lt; b.num;</span><br><span class="line">&#125;</span><br><span class="line"><span class="class"><span class="keyword">class</span> <span class="title">Solution</span> &#123;</span></span><br><span class="line"><span class="keyword">public</span>:</span><br><span class="line"> <span class="function"><span class="built_in">vector</span>&lt;<span class="keyword">int</span>&gt; <span class="title">twoSum</span><span class="params">(<span class="built_in">vector</span>&lt;<span class="keyword">int</span>&gt; &amp;numbers, <span class="keyword">int</span> target)</span> </span>&#123;</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>&lt;<span class="keyword">int</span>&gt; result;</span><br><span class="line"> <span class="built_in">vector</span>&lt;Node&gt; <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 &lt; numbers.<span class="built_in">size</span>(); i++)</span><br><span class="line"> &#123;</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"> &#125;</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"> &#123;</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"> &#123;</span><br><span class="line"> <span class="keyword">if</span> (<span class="built_in">array</span>[i].pos &lt; <span class="built_in">array</span>[j].pos)</span><br><span class="line"> &#123;</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"> &#125; <span class="keyword">else</span></span><br><span class="line"> &#123;</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"> &#125;</span><br><span class="line"> <span class="keyword">break</span>;</span><br><span class="line"> &#125; <span class="keyword">else</span> <span class="keyword">if</span> (sum &lt; target)</span><br><span class="line"> &#123;</span><br><span class="line"> i++;</span><br><span class="line"> &#125; <span class="keyword">else</span> <span class="keyword">if</span> (sum &gt; target)</span><br><span class="line"> &#123;</span><br><span class="line"> j--;</span><br><span class="line"> &#125;</span><br><span class="line"> &#125;</span><br><span class="line"> <span class="keyword">return</span> result;</span><br><span class="line"> &#125;</span><br><span class="line">&#125;;</span><br></pre></td></tr></table></figure>
<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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<div class="busuanzi-count">
<script async src="https://busuanzi.ibruce.info/busuanzi/2.3/busuanzi.pure.mini.js"></script>
<span class="post-meta-item" id="busuanzi_container_site_uv" style="display: none;">
<span class="post-meta-item-icon">
<i class="fa fa-user"></i>
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<span class="site-uv" title="Total Visitors">
<span id="busuanzi_value_site_uv"></span>
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<span class="site-pv" title="Total Views">
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<script>
(function() {
function leancloudSelector(url) {
url = encodeURI(url);
return document.getElementById(url).querySelector('.leancloud-visitors-count');
}
function addCount(Counter) {
var visitors = document.querySelector('.leancloud_visitors');
var url = decodeURI(visitors.id);
var title = visitors.dataset.flagTitle;
Counter('get', '/classes/Counter?where=' + encodeURIComponent(JSON.stringify({ url })))
.then(response => response.json())
.then(({ results }) => {
if (results.length > 0) {
var counter = results[0];
leancloudSelector(url).innerText = counter.time + 1;
Counter('put', '/classes/Counter/' + counter.objectId, { time: { '__op': 'Increment', 'amount': 1 } })
.catch(error => {
console.error('Failed to save visitor count', error);
});
} else {
leancloudSelector(url).innerText = 'Counter not initialized! More info at console err msg.';
console.error('ATTENTION! LeanCloud counter has security bug, see how to solve it here: https://github.com/theme-next/hexo-leancloud-counter-security. \n However, you can still use LeanCloud without security, by setting `security` option to `false`.');
}
})
.catch(error => {
console.error('LeanCloud Counter Error', error);
});
}
function showTime(Counter) {
var visitors = document.querySelectorAll('.leancloud_visitors');
var entries = [...visitors].map(element => {
return decodeURI(element.id);
});
Counter('get', '/classes/Counter?where=' + encodeURIComponent(JSON.stringify({ url: { '$in': entries } })))
.then(response => response.json())
.then(({ results }) => {
for (let url of entries) {
let target = results.find(item => item.url === url);
leancloudSelector(url).innerText = target ? target.time : 0;
}
})
.catch(error => {
console.error('LeanCloud Counter Error', error);
});
}
let { app_id, app_key, server_url } = {"enable":true,"app_id":"ysza182Vghlqjdt7QiwGLLJy-gzGzoHsz","app_key":"s9GDqbn7gnGGkusf66YRVccw","server_url":"https://leancloud.cn","security":true};
function fetchData(api_server) {
var Counter = (method, url, data) => {
return fetch(`${api_server}/1.1${url}`, {
method,
headers: {
'X-LC-Id' : app_id,
'X-LC-Key' : app_key,
'Content-Type': 'application/json',
},
body: JSON.stringify(data)
});
};
if (CONFIG.page.isPost) {
if (CONFIG.hostname !== location.hostname) return;
addCount(Counter);
} else if (document.querySelectorAll('.post-title-link').length >= 1) {
showTime(Counter);
}
}
let api_server = app_id.slice(-9) !== '-MdYXbMMI' ? server_url : `https://${app_id.slice(0, 8).toLowerCase()}.api.lncldglobal.com`;
if (api_server) {
fetchData(api_server);
} else {
fetch('https://app-router.leancloud.cn/2/route?appId=' + app_id)
.then(response => response.json())
.then(({ api_server }) => {
fetchData('https://' + api_server);
});
}
})();
</script>
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var canonicalURL, curProtocol;
//Get the <link> tag
var x=document.getElementsByTagName("link");
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for (i=0;i<x.length;i++){
if(x[i].rel.toLowerCase() == 'canonical' && x[i].href){
canonicalURL=x[i].href;
}
}
}
//Get protocol
if (!canonicalURL){
curProtocol = window.location.protocol.split(':')[0];
}
else{
curProtocol = canonicalURL.split(':')[0];
}
//Get current URL if the canonical URL does not exist
if (!canonicalURL) canonicalURL = window.location.href;
//Assign script content. Replace current URL with the canonical URL
!function(){var e=/([http|https]:\/\/[a-zA-Z0-9\_\.]+\.baidu\.com)/gi,r=canonicalURL,t=document.referrer;if(!e.test(r)){var n=(String(curProtocol).toLowerCase() === 'https')?"https://sp0.baidu.com/9_Q4simg2RQJ8t7jm9iCKT-xh_/s.gif":"//api.share.baidu.com/s.gif";t?(n+="?r="+encodeURIComponent(document.referrer),r&&(n+="&l="+r)):r&&(n+="?l="+r);var i=new Image;i.src=n}}(window);})();
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<script>
window.addEventListener('load', () => {
quicklink({
timeout : 3000,
priority: true,
ignores : [uri => uri.includes('#'),uri => uri === 'https://nicksxs.me/2015/01/14/Two-Sum/',]
});
});
</script>
<script>
function loadCount() {
var d = document, s = d.createElement('script');
s.src = 'https://nicksxs.disqus.com/count.js';
s.id = 'dsq-count-scr';
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</script>
<script>
var disqus_config = function() {
this.page.url = "https://nicksxs.me/2015/01/14/Two-Sum/";
this.page.identifier = "2015/01/14/Two-Sum/";
this.page.title = "two sum";
};
NexT.utils.loadComments(document.querySelector('#disqus_thread'), () => {
if (window.DISQUS) {
DISQUS.reset({
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});
} else {
var d = document, s = d.createElement('script');
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