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href="/atom.xml" class="dropdown-menu button">RSS</a></div></div></header><cover></cover><main><div class="post-content"><div class="post-title"><h1 class="post-title__text">2020 CSP-S 初赛游记</h1><div class="post-title__meta"><a href="/archives/2020/10/" class="post-meta__date button">2020-10-11</a> <span class="separate-dot"></span> <a href="/categories/%E6%B0%B4/" class="button"><span class="post-meta__cats">水</span></a><style>.post-meta__pv{color:var(--t-l);visibility:hidden;opacity:0;transition:.2s}</style><span class="separate-dot"></span> <span class="post-meta__pv"></span></div></div><aside class="post-side"><div class="post-side__toc"><div class="toc-title">文章目录</div><ol class="toc"><li class="toc-item toc-level-2"><a class="toc-link" href="#day-9~0"><span class="toc-text">Day -9～0</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#day-1"><span class="toc-text">Day 1</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E6%80%BB%E7%BB%93"><span class="toc-text">总结</span></a></li></ol></div></aside><a class="btn-toc button" id="btn-toc" tabindex="0"><svg viewBox="0 0 1024 1024" width="32" height="32" xmlns="http://www.w3.org/2000/svg"><path d="M128 256h64V192H128zM320 256h576V192H320zM128 544h64v-64H128zM320 544h576v-64H320zM128 832h64v-64H128zM320 832h576v-64H320z" fill="currentColor"></path></svg></a><div class="toc-menus" id="toc-menus"><div class="toc-title">文章目录</div><ol class="toc"><li class="toc-item toc-level-2"><a class="toc-link" href="#day-9~0"><span class="toc-text">Day -9～0</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#day-1"><span class="toc-text">Day 1</span></a></li><li class="toc-item toc-level-2"><a class="toc-link" href="#%E6%80%BB%E7%BB%93"><span class="toc-text">总结</span></a></li></ol></div><article class="post post__with-toc card"><div class="post__header"><img alt="Cover Image" class="lazy" src="https://hans362-img.oss.0vv0.top/2019/11/03/noi.png?width=1920" srcset="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABAQMAAAAl21bKAAAABlBMVEXMzMyWlpYU2uzLAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAACklEQVQImWNgAAAAAgAB9HFkpgAAAABJRU5ErkJggg==" data-srcset="https://hans362-img.oss.0vv0.top/2019/11/03/noi.png?width=1920"><div class="post__expire" id="post-expired-notify"><p><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" viewBox="0 0 16 16" style="fill:#f5a623;stroke:#f5a623"><path fill-rule="evenodd" d="M8.893 1.5c-.183-.31-.52-.5-.887-.5s-.703.19-.886.5L.138 13.499a.98.98 0 0 0 0 1.001c.193.31.53.501.886.501h13.964c.367 0 .704-.19.877-.5a1.03 1.03 0 0 0 .01-1.002L8.893 1.5zm.133 11.497H6.987v-2.003h2.039v2.003zm0-3.004H6.987V5.987h2.039v4.006z"></path></svg> 本文最后更新于 <span id="expire-date"></span> 天前，文中部分描述可能已经过时。</p></div><script>(()=>{var e=Date.parse("2020-10-11"),t=(new Date).getTime(),t=Math.floor((t-e)/864e5);120<=t&&(document.querySelectorAll("#expire-date")[0].innerHTML=t,document.querySelectorAll("#post-expired-notify")[0].style.display="block")})()</script></div><div class="post__content"><html><head><script>var meting_api="https://api-v2.hans362.cn/vip/?server=:server&type=:type&id=:id&r=:r"</script><script class="meting-secondary-script-marker" src="/js/Meting.min.js"></script></head><body><p>最近事情是真的多，拼命赶各种 Deadline 准备各种考试都好久没更新博客了，总之等我哪天有空了再发一篇周记说说近况吧</p><p>那么这篇文章是我在2020年10月11日参加的 CSP-S 初赛的游记～</p><p>去年初赛游记请移步：<a href="https://blog.hans362.cn/post/2019-csp-s-1/">2019 CSP-S 初赛游记</a></p><span id="more"></span><h2 id="day-9~0"><a class="markdownIt-Anchor" href="#day-9~0"></a> Day -9～0</h2><p>首先要交代一下概况～由于去年全国考生一起在初赛的时候把 €€£ 的老爷机搞挂了，所以今年 SH 初赛干脆就不上机了，题型不变依然全选择，改成填涂答题卡，这也就意味着没有 DEV-C++ 和计算器可以用，读程序写结果以及完善程序的难度增加了…</p><p>同时今年初赛 SH 也不设置统一认证点了，所有选手干脆就在自己学校考初赛，由本校老师自行监考，但是要提交考场全程的监控录像（感觉这样搞有点水分啊，万一哪个学校提前录好呢…</p><p>然后就是今年 NOIP（免费） 虽然恢复，但是参加 NOIP 的先决条件就是在 CSP-S 复赛（去年¥480）中取得优异成绩，而参加 CSP-S 复赛的先决条件就是达到初赛（¥50）分数线…所以 €€£ 为了收钱真的是…把一个比赛整成这样，相当于今年10月开始一个月考一次，在期中考试的时候考复赛，地理生物一模的时候考 NOIP（文化课选手表示很苦恼😖</p><p>国庆在学校集训主要准备了复赛，然后刷了套去年某机构出的初赛模拟，做完整个人都不好了…虽然在 SH 初赛 60+ 妥妥地能进复赛</p><p>考前前一天刚考完月考，晚上在家里刷了洛谷出的初赛模拟，事实证明我的决定是对的，洛谷押中了几道题～（洛谷，yyds！</p><h2 id="day-1"><a class="markdownIt-Anchor" href="#day-1"></a> Day 1</h2><p>上午9:30开考，因为在自己学校，所以我睡了个懒觉，9:00到校，考场用的是录公开课的教室，因为也就这教室里有一整套录像设备</p><p>监考老师就是自己的信竞教练，我刚要从包里拿准考证，教练笑着说说“别拿了，都是自己人，我看脸就行了”🤣</p><p>考场讲台上放了台 MacBook 前置摄像头对着讲台下的座位，上面开着腾讯会议，是全市的高中的实时画面，因为时间还早我们教练闲得无聊开始一个学校一个学校翻看着，貌似有个学校在机房里考还全部升板了…不知道有没有搞什么小动作</p><p>过了几分钟突然窗外传来“一，二，三，四”的声音…我突然意识到今天是高一的军训（因为疫情改在校内进行），没办法只能忍一忍了…</p><p>然后就是发答题卡、草稿纸、启封试卷，SH 应该全部是 A 卷，有一说一在自己学校真好，老师直接塞给我一大叠草稿纸，我可以放肆地用了233333</p><p>这里附一份 A 卷试题：<a target="_blank" rel="noopener" href="https://hans362-img.oss.0vv0.top/2020/10/11/CSP2020-senior-C-A.pdf">试题链接</a></p><p>拿到卷子还不能答题，我先扫了一眼前15题单选，感觉都还挺好做的，然后发现洛谷押中了一道～</p><p>开始答题后前十五题果然轻轻松松做完～感觉自己这一年没白学，做起来顺手多了，而且以前碰都不碰的数学题（其实就是小学生奥数题，什么数论、排列组合、抽屉原理什么的）现在也会做了，下面是我的解析，和官方答案对过了全对～（注意是 A 卷！）</p><ol><li>C 进制转换，常规题，信息合格考都会考</li><li>B 操作系统的功能，常识题，排除法就能做</li><li>B 常规题，信息合格考都会考，<span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>8</mn><mo>×</mo><mn>60</mn><mo>×</mo><mn>24</mn><mo>×</mo><mn>2048</mn><mo>×</mo><mn>1024</mn><mo>×</mo><mn>32</mn><mo>÷</mo><mn>8</mn><mo>÷</mo><mn>1024</mn><mo>÷</mo><mn>1024</mn><mo>÷</mo><mn>1024</mn><mo>=</mo><mn>90</mn></mrow><annotation encoding="application/x-tex">8 \times 60 \times 24 \times 2048 \times 1024 \times 32 \div 8 \div 1024 \div 1024 \div 1024 = 90</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em"></span><span class="mord">8</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">×</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em"></span><span class="mord">6</span><span class="mord">0</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">×</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em"></span><span class="mord">2</span><span class="mord">4</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">×</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em"></span><span class="mord">2</span><span class="mord">0</span><span class="mord">4</span><span class="mord">8</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">×</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em"></span><span class="mord">1</span><span class="mord">0</span><span class="mord">2</span><span class="mord">4</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">×</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em"></span><span class="mord">3</span><span class="mord">2</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">÷</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em"></span><span class="mord">8</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">÷</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em"></span><span class="mord">1</span><span class="mord">0</span><span class="mord">2</span><span class="mord">4</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">÷</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em"></span><span class="mord">1</span><span class="mord">0</span><span class="mord">2</span><span class="mord">4</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">÷</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0"></span><span class="mord">1</span><span class="mord">0</span><span class="mord">2</span><span class="mord">4</span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">=</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0"></span><span class="mord">9</span><span class="mord">0</span></span></span></span></li><li>B 纸上画个栈直接模拟即可</li><li>D 每个哈希函数把四个数字代入算一下，结果不重复就行了</li><li>B 01背包明显用动规，其它都是贪心</li><li>A DFS时间复杂度（洛谷押题）</li><li>A 最多就是一边12个点另一边12个点，总共144条边</li><li>C 常识题，广搜用队列</li><li>C 数学题，<span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>3</mn><mi>k</mi><mo>+</mo><mn>2</mn><mo>=</mo><mn>5</mn><mi>p</mi><mo>+</mo><mn>3</mn><mo>=</mo><mn>7</mn><mi>q</mi><mo>+</mo><mn>4</mn><mo>=</mo><mi>n</mi></mrow><annotation encoding="application/x-tex">3k+2 = 5p+3 = 7q+4 =n</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:.77777em;vertical-align:-.08333em"></span><span class="mord">3</span><span class="mord mathnormal" style="margin-right:.03148em">k</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">+</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0"></span><span class="mord">2</span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">=</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.8388800000000001em;vertical-align:-.19444em"></span><span class="mord">5</span><span class="mord mathnormal">p</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">+</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0"></span><span class="mord">3</span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">=</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.8388800000000001em;vertical-align:-.19444em"></span><span class="mord">7</span><span class="mord mathnormal" style="margin-right:.03588em">q</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">+</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0"></span><span class="mord">4</span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">=</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.43056em;vertical-align:0"></span><span class="mord mathnormal">n</span></span></span></span>，一通暴算可得 <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>n</mi><mo>=</mo><mn>53</mn></mrow><annotation encoding="application/x-tex">n = 53</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:.43056em;vertical-align:0"></span><span class="mord mathnormal">n</span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">=</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0"></span><span class="mord">5</span><span class="mord">3</span></span></span></span></li><li>C 数学题，<span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>a</mi><mrow><mi>i</mi><mo separator="true">,</mo><mi>i</mi><mo>+</mo><mn>1</mn></mrow></msub><mo>=</mo><mn>10</mn><mi>i</mi><mo separator="true">,</mo><mi>i</mi><mo>∈</mo><msup><mi>N</mi><mo lspace="0em" rspace="0em">∗</mo></msup></mrow><annotation encoding="application/x-tex">a_{i,i+1} = 10i, i \in N^{*}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:.716668em;vertical-align:-.286108em"></span><span class="mord"><span class="mord mathnormal">a</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.311664em"><span style="top:-2.5500000000000003em;margin-left:0;margin-right:.05em"><span class="pstrut" style="height:2.7em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mathnormal mtight">i</span><span class="mpunct mtight">,</span><span class="mord mathnormal mtight">i</span><span class="mbin mtight">+</span><span class="mord mtight">1</span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:.286108em"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">=</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.85396em;vertical-align:-.19444em"></span><span class="mord">1</span><span class="mord">0</span><span class="mord mathnormal">i</span><span class="mpunct">,</span><span class="mspace" style="margin-right:.16666666666666666em"></span><span class="mord mathnormal">i</span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">∈</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.688696em;vertical-align:0"></span><span class="mord"><span class="mord mathnormal" style="margin-right:.10903em">N</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.688696em"><span style="top:-3.063em;margin-right:.05em"><span class="pstrut" style="height:2.7em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">∗</span></span></span></span></span></span></span></span></span></span></span></span>，求个和 <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>S</mi><mi>i</mi></msub><mo>=</mo><mn>10</mn><mo>×</mo><mo stretchy="false">(</mo><mn>1</mn><mo>+</mo><mi>i</mi><mo stretchy="false">)</mo><mo>×</mo><mi>i</mi><mo>÷</mo><mn>2</mn></mrow><annotation encoding="application/x-tex">S_i = 10 \times (1+i) \times i \div 2</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:.83333em;vertical-align:-.15em"></span><span class="mord"><span class="mord mathnormal" style="margin-right:.05764em">S</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.31166399999999994em"><span style="top:-2.5500000000000003em;margin-left:-.05764em;margin-right:.05em"><span class="pstrut" style="height:2.7em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">i</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:.15em"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">=</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em"></span><span class="mord">1</span><span class="mord">0</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">×</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em"></span><span class="mopen">(</span><span class="mord">1</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">+</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em"></span><span class="mord mathnormal">i</span><span class="mclose">)</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">×</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.74285em;vertical-align:-.08333em"></span><span class="mord mathnormal">i</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">÷</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0"></span><span class="mord">2</span></span></span></span>，令 <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>S</mi><mi>i</mi></msub><mo>≥</mo><mn>1000</mn></mrow><annotation encoding="application/x-tex">S_i \geq 1000</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:.83333em;vertical-align:-.15em"></span><span class="mord"><span class="mord mathnormal" style="margin-right:.05764em">S</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.31166399999999994em"><span style="top:-2.5500000000000003em;margin-left:-.05764em;margin-right:.05em"><span class="pstrut" style="height:2.7em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mathnormal mtight">i</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:.15em"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">≥</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0"></span><span class="mord">1</span><span class="mord">0</span><span class="mord">0</span><span class="mord">0</span></span></span></span> 解得 <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>i</mi><mo>≥</mo><mn>14</mn><mo separator="true">,</mo><mi>i</mi><mo>∈</mo><msup><mi>N</mi><mo lspace="0em" rspace="0em">∗</mo></msup></mrow><annotation encoding="application/x-tex">i \geq 14, i \in N^{*}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:.79549em;vertical-align:-.13597em"></span><span class="mord mathnormal">i</span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">≥</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.85396em;vertical-align:-.19444em"></span><span class="mord">1</span><span class="mord">4</span><span class="mpunct">,</span><span class="mspace" style="margin-right:.16666666666666666em"></span><span class="mord mathnormal">i</span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">∈</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.688696em;vertical-align:0"></span><span class="mord"><span class="mord mathnormal" style="margin-right:.10903em">N</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.688696em"><span style="top:-3.063em;margin-right:.05em"><span class="pstrut" style="height:2.7em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">∗</span></span></span></span></span></span></span></span></span></span></span></span>，所以应该爬到 <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>i</mi><mo>+</mo><mn>1</mn><mo>≥</mo><mn>15</mn></mrow><annotation encoding="application/x-tex">i+1 \geq 15</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:.74285em;vertical-align:-.08333em"></span><span class="mord mathnormal">i</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">+</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.78041em;vertical-align:-.13597em"></span><span class="mord">1</span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">≥</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0"></span><span class="mord">1</span><span class="mord">5</span></span></span></span> 层（我校好多人忘记 <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo>+</mo><mn>1</mn></mrow><annotation encoding="application/x-tex">+1</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em"></span><span class="mord">+</span><span class="mord">1</span></span></span></span> 了）</li><li>D 后缀表达式定义</li><li>B 画个图易得 <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mn>16</mn><mo>×</mo><mn>9</mn><mo>÷</mo><mn>2</mn><mo>=</mo><mn>72</mn></mrow><annotation encoding="application/x-tex">16 \times 9 \div 2 = 72</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em"></span><span class="mord">1</span><span class="mord">6</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">×</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.72777em;vertical-align:-.08333em"></span><span class="mord">9</span><span class="mspace" style="margin-right:.2222222222222222em"></span><span class="mbin">÷</span><span class="mspace" style="margin-right:.2222222222222222em"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0"></span><span class="mord">2</span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">=</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.64444em;vertical-align:0"></span><span class="mord">7</span><span class="mord">2</span></span></span></span></li><li>D <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>D</mi><mi>i</mi><mi>j</mi><mi>k</mi><mi>s</mi><mi>t</mi><mi>r</mi><mi>a</mi></mrow><annotation encoding="application/x-tex">Dijkstra</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:.8888799999999999em;vertical-align:-.19444em"></span><span class="mord mathnormal" style="margin-right:.02778em">D</span><span class="mord mathnormal">i</span><span class="mord mathnormal" style="margin-right:.05724em">j</span><span class="mord mathnormal" style="margin-right:.03148em">k</span><span class="mord mathnormal">s</span><span class="mord mathnormal">t</span><span class="mord mathnormal" style="margin-right:.02778em">r</span><span class="mord mathnormal">a</span></span></span></span> 时间复杂度 <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>O</mi><mo stretchy="false">(</mo><msup><mi>N</mi><mn>2</mn></msup><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">O(N^2)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.064108em;vertical-align:-.25em"></span><span class="mord mathnormal" style="margin-right:.02778em">O</span><span class="mopen">(</span><span class="mord"><span class="mord mathnormal" style="margin-right:.10903em">N</span><span class="msupsub"><span class="vlist-t"><span class="vlist-r"><span class="vlist" style="height:.8141079999999999em"><span style="top:-3.063em;margin-right:.05em"><span class="pstrut" style="height:2.7em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span></span></span></span></span><span class="mclose">)</span></span></span></span></li><li>C 常识题，香农，信息合格考都会考</li></ol><p>正当我暗暗窃喜，接下来的阅读程序给我当头一棒TAT</p><p>第一题就傻眼了，再加上眼瞎没看到是 <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mo><</mo><mi>n</mi></mrow><annotation encoding="application/x-tex">< n</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:.5782em;vertical-align:-.0391em"></span><span class="mrel"><</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.43056em;vertical-align:0"></span><span class="mord mathnormal">n</span></span></span></span>，第一小问就开始错</p><p>第二题看出来了是在找第k小（大？）的数，正好洛谷押中了，但！是！我把 <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>O</mi><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">O(n)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em"></span><span class="mord mathnormal" style="margin-right:.02778em">O</span><span class="mopen">(</span><span class="mord mathnormal">n</span><span class="mclose">)</span></span></span></span> 记成了 <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>O</mi><mo stretchy="false">(</mo><mi>n</mi><mi>l</mi><mi>o</mi><mi>g</mi><mi>n</mi><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">O(nlogn)</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1em;vertical-align:-.25em"></span><span class="mord mathnormal" style="margin-right:.02778em">O</span><span class="mopen">(</span><span class="mord mathnormal">n</span><span class="mord mathnormal" style="margin-right:.01968em">l</span><span class="mord mathnormal">o</span><span class="mord mathnormal" style="margin-right:.03588em">g</span><span class="mord mathnormal">n</span><span class="mclose">)</span></span></span></span> 然后就悲剧了qwq</p><p>第三题字符串太 TM 恐怖了，两页的代码看得脑壳疼，也没看懂在干啥，瞎蒙瞎猜了好多</p><p>然后完善程序第一题还比较友好，都说了是贪心，按部就班做就是了，第一小问有点坑，我差点选了带除号的那个，后来看到 CD 选项突然反应过来 C++ 里两个整型之间的“/”是整除…（和向量平行的充要条件是 <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>x</mi><mn>1</mn></msub><msub><mi>y</mi><mn>2</mn></msub><mo>=</mo><msub><mi>x</mi><mn>2</mn></msub><msub><mi>y</mi><mn>1</mn></msub></mrow><annotation encoding="application/x-tex">x_1y_2 = x_2y_1</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:.625em;vertical-align:-.19444em"></span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.30110799999999993em"><span style="top:-2.5500000000000003em;margin-left:0;margin-right:.05em"><span class="pstrut" style="height:2.7em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:.15em"><span></span></span></span></span></span></span><span class="mord"><span class="mord mathnormal" style="margin-right:.03588em">y</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.30110799999999993em"><span style="top:-2.5500000000000003em;margin-left:-.03588em;margin-right:.05em"><span class="pstrut" style="height:2.7em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:.15em"><span></span></span></span></span></span></span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">=</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:.625em;vertical-align:-.19444em"></span><span class="mord"><span class="mord mathnormal">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.30110799999999993em"><span style="top:-2.5500000000000003em;margin-left:0;margin-right:.05em"><span class="pstrut" style="height:2.7em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:.15em"><span></span></span></span></span></span></span><span class="mord"><span class="mord mathnormal" style="margin-right:.03588em">y</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.30110799999999993em"><span style="top:-2.5500000000000003em;margin-left:-.03588em;margin-right:.05em"><span class="pstrut" style="height:2.7em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:.15em"><span></span></span></span></span></span></span></span></span></span> 而不是 <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mfrac><msub><mi>x</mi><mn>1</mn></msub><msub><mi>x</mi><mn>2</mn></msub></mfrac><mo>=</mo><mfrac><msub><mi>y</mi><mn>1</mn></msub><msub><mi>y</mi><mn>2</mn></msub></mfrac></mrow><annotation encoding="application/x-tex">\frac{x_1}{x_2} = \frac{y_1}{y_2}</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:1.1565919999999998em;vertical-align:-.44509999999999994em"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.7114919999999999em"><span style="top:-2.655em"><span class="pstrut" style="height:3em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"><span class="mord mathnormal mtight">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.31731428571428577em"><span style="top:-2.357em;margin-left:0;margin-right:.07142857142857144em"><span class="pstrut" style="height:2.5em"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:.143em"><span></span></span></span></span></span></span></span></span></span><span style="top:-3.23em"><span class="pstrut" style="height:3em"></span><span class="frac-line" style="border-bottom-width:.04em"></span></span><span style="top:-3.4101em"><span class="pstrut" style="height:3em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"><span class="mord mathnormal mtight">x</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.31731428571428577em"><span style="top:-2.357em;margin-left:0;margin-right:.07142857142857144em"><span class="pstrut" style="height:2.5em"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:.143em"><span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:.44509999999999994em"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span><span class="mspace" style="margin-right:.2777777777777778em"></span><span class="mrel">=</span><span class="mspace" style="margin-right:.2777777777777778em"></span></span><span class="base"><span class="strut" style="height:1.228608em;vertical-align:-.481108em"></span><span class="mord"><span class="mopen nulldelimiter"></span><span class="mfrac"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.7475em"><span style="top:-2.6550000000000002em"><span class="pstrut" style="height:3em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="margin-right:.03588em">y</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.31731428571428577em"><span style="top:-2.357em;margin-left:-.03588em;margin-right:.07142857142857144em"><span class="pstrut" style="height:2.5em"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:.143em"><span></span></span></span></span></span></span></span></span></span><span style="top:-3.23em"><span class="pstrut" style="height:3em"></span><span class="frac-line" style="border-bottom-width:.04em"></span></span><span style="top:-3.446108em"><span class="pstrut" style="height:3em"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight"><span class="mord mathnormal mtight" style="margin-right:.03588em">y</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:.31731428571428577em"><span style="top:-2.357em;margin-left:-.03588em;margin-right:.07142857142857144em"><span class="pstrut" style="height:2.5em"></span><span class="sizing reset-size3 size1 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:.143em"><span></span></span></span></span></span></span></span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:.481108em"><span></span></span></span></span></span><span class="mclose nulldelimiter"></span></span></span></span></span> 类似，要把除变成乘）</p><p>第二题又是噩梦，仿佛回到了去年的那道状压 DP，位运算搞得脑壳疼，瞎蒙瞎猜了好多</p><p>总之就这样考完了初赛…官方答案估分73分，果然还是好菜，不过在 SH 这种弱省进复赛是没问题了～</p><p>附：A 卷官方答案</p><p><img src="https://hans362-img.oss.0vv0.top/2020/10/11/Photo%20Oct%2011%2C%2021%2040%2027.png?width=1920" class="lazy" data-srcset="https://hans362-img.oss.0vv0.top/2020/10/11/Photo%20Oct%2011%2C%2021%2040%2027.png?width=1920" srcset="/loading.gif" alt=""></p><h2 id="总结"><a class="markdownIt-Anchor" href="#总结"></a> 总结</h2><p>初赛考完下个月又是复赛，希望 rp++;</p><p>毕竟这次复赛要达到分数线才能参加真正的 NOIP，可别像去年那样炸得稀烂，不然我将失去可以说是人生中最后一次参加 NOIP 的机会了…</p><p>下个月复赛前打算暂时申请把文化课停个一周，考前抱个佛脚，争取要进入 NOIP 呢～</p><p>最后祝 OIer 们都能早日 AK ～</p></body></html></div><div class="license"><div class="license-title">2020 CSP-S 初赛游记</div><div class="license-link"><a href="https://blog.hans362.cn/post/2020-csp-s-1/">https://blog.hans362.cn/post/2020-csp-s-1/</a></div><div class="license-meta"><div class="license-meta-item"><div class="license-meta-title">本文作者</div><div class="license-meta-text">Hans362</div></div><div class="license-meta-item"><div class="license-meta-title">最后更新</div><div class="license-meta-text">2020-10-11</div></div><div class="license-meta-item"><div class="license-meta-title">许可协议</div><div class="license-meta-text"><a href="https://creativecommons.org/licenses/by-nc-sa/4.0/deed.zh" rel="nofollow noopener noreferrer" target="_blank">CC BY-NC-SA 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