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            <title><![CDATA[Welcome to lailai's Blog! 👋]]></title>
            <link>https://lailai.one/blog/welcome</link>
            <guid>https://lailai.one/blog/welcome</guid>
            <pubDate>Wed, 16 Oct 2024 16:00:00 GMT</pubDate>
            <description><![CDATA[本文为博客的开篇欢迎，说明这里将分享算法与技术笔记、读书与旅行以及偶尔的随想。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>Notice</category>
        </item>
        <item>
            <title><![CDATA[记录：学军黑客松]]></title>
            <link>https://lailai.one/blog/record/xuejun-hackathon</link>
            <guid>https://lailai.one/blog/record/xuejun-hackathon</guid>
            <pubDate>Sun, 04 Oct 2026 16:10:00 GMT</pubDate>
            <description><![CDATA[2026 学军黑客松记录。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>AI</category>
            <category>Record</category>
        </item>
        <item>
            <title><![CDATA[题解：P9141 [THUPC 2023 初赛] 乱西星上的空战]]></title>
            <link>https://lailai.one/blog/solution/P9141</link>
            <guid>https://lailai.one/blog/solution/P9141</guid>
            <pubDate>Fri, 28 Aug 2026 08:40:32 GMT</pubDate>
            <description><![CDATA[本文为洛谷 P9141 的题解，枚举合法整点位移，并按事件顺序模拟空战。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>OI</category>
            <category>Solution</category>
            <category>Luogu</category>
        </item>
        <item>
            <title><![CDATA[数学：燃烧数]]></title>
            <link>https://lailai.one/blog/math/fusible-numbers</link>
            <guid>https://lailai.one/blog/math/fusible-numbers</guid>
            <pubDate>Wed, 26 Aug 2026 13:31:00 GMT</pubDate>
            <description><![CDATA[本文将介绍燃烧数及其递归函数，并求出钓鱼题中的 f(3)。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>Mathematics</category>
        </item>
        <item>
            <title><![CDATA[记录：GFSSM 2026 决赛]]></title>
            <link>https://lailai.one/blog/record/gfssm-2026-final</link>
            <guid>https://lailai.one/blog/record/gfssm-2026-final</guid>
            <pubDate>Fri, 14 Aug 2026 09:40:00 GMT</pubDate>
            <description><![CDATA[本文记录 GFSSM 2026 决赛期间的北京行程、24 小时极限挑战、总答辩与颁奖典礼。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>Travel</category>
            <category>Record</category>
        </item>
        <item>
            <title><![CDATA[题解：P17140 [NOI 2026] 线段]]></title>
            <link>https://lailai.one/blog/solution/P17140</link>
            <guid>https://lailai.one/blog/solution/P17140</guid>
            <pubDate>Sat, 25 Jul 2026 05:57:44 GMT</pubDate>
            <description><![CDATA[本文为洛谷 P17140 的题解，用跳过禁选前缀的动态规划统计相交图为树的线段集。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>OI</category>
            <category>Solution</category>
            <category>Luogu</category>
        </item>
        <item>
            <title><![CDATA[数学：不等式挑战（二）]]></title>
            <link>https://lailai.one/blog/math/six-factor-inequality</link>
            <guid>https://lailai.one/blog/math/six-factor-inequality</guid>
            <pubDate>Sat, 18 Jul 2026 11:26:00 GMT</pubDate>
            <description><![CDATA[本文将介绍一道六因子不等式，用换元、拉格朗日乘数与判别式证明。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>Mathematics</category>
        </item>
        <item>
            <title><![CDATA[题解：AT_arc222_f [ARC222F] Triple Transformation]]></title>
            <link>https://lailai.one/blog/solution/AT_arc222_f</link>
            <guid>https://lailai.one/blog/solution/AT_arc222_f</guid>
            <pubDate>Sun, 12 Jul 2026 15:51:10 GMT</pubDate>
            <description><![CDATA[本文为洛谷 AT_arc222_f 的题解，把操作在模 S 下化为乘 ±2，用 BSGS 求最小操作次数。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>OI</category>
            <category>Solution</category>
            <category>AtCoder</category>
        </item>
        <item>
            <title><![CDATA[题解：P3846 【模板】BSGS / [TJOI2007] 可爱的质数]]></title>
            <link>https://lailai.one/blog/solution/P3846</link>
            <guid>https://lailai.one/blog/solution/P3846</guid>
            <pubDate>Mon, 29 Jun 2026 15:20:26 GMT</pubDate>
            <description><![CDATA[本文为洛谷 P3846 的题解，用大步小步算法配合哈希表求解离散对数，得到最小的非负整数指数。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>OI</category>
            <category>Solution</category>
            <category>Luogu</category>
        </item>
        <item>
            <title><![CDATA[数学：同构的运算]]></title>
            <link>https://lailai.one/blog/math/lattice-operations</link>
            <guid>https://lailai.one/blog/math/lattice-operations</guid>
            <pubDate>Mon, 01 Jun 2026 01:33:00 GMT</pubDate>
            <description><![CDATA[本文将介绍 max 与 min、逻辑、集合、命题等运算如何同为格论 join 与 meet 的化身。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>Mathematics</category>
        </item>
        <item>
            <title><![CDATA[题解：P6597 烯烃计数]]></title>
            <link>https://lailai.one/blog/solution/P6597</link>
            <guid>https://lailai.one/blog/solution/P6597</guid>
            <pubDate>Sun, 31 May 2026 15:11:21 GMT</pubDate>
            <description><![CDATA[本文为洛谷 P6597 的题解，牛顿迭代求烷基生成函数，再对双键两端用 Burnside 引理组合。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>OI</category>
            <category>Solution</category>
            <category>Luogu</category>
        </item>
        <item>
            <title><![CDATA[题解：P6598 烷烃计数]]></title>
            <link>https://lailai.one/blog/solution/P6598</link>
            <guid>https://lailai.one/blog/solution/P6598</guid>
            <pubDate>Sun, 31 May 2026 14:30:21 GMT</pubDate>
            <description><![CDATA[本文为洛谷 P6598 的题解，求烷基生成函数后钦定重心为根容斥，组合点、边、双重心三类生成函数。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>OI</category>
            <category>Solution</category>
            <category>Luogu</category>
        </item>
        <item>
            <title><![CDATA[题解：P3788 幽幽子吃西瓜]]></title>
            <link>https://lailai.one/blog/solution/P3788</link>
            <guid>https://lailai.one/blog/solution/P3788</guid>
            <pubDate>Tue, 12 May 2026 15:30:24 GMT</pubDate>
            <description><![CDATA[本文为洛谷 P3788 的题解，一道几何题，按两切角关系分类讨论各半圆对红色与可见面积的贡献。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>OI</category>
            <category>Solution</category>
            <category>Luogu</category>
        </item>
        <item>
            <title><![CDATA[杂谈：AI 多媒体任务]]></title>
            <link>https://lailai.one/blog/record/ai-multimedia</link>
            <guid>https://lailai.one/blog/record/ai-multimedia</guid>
            <pubDate>Sat, 02 May 2026 16:00:00 GMT</pubDate>
            <description><![CDATA[本文分享用 AI 完成各类多媒体任务的经验，比较主流模型并按文本、图片、视频等分类总结做法。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>AI</category>
            <category>Record</category>
        </item>
        <item>
            <title><![CDATA[项目：浙江省杭州第二中学校史]]></title>
            <link>https://lailai.one/blog/misc/hez-history</link>
            <guid>https://lailai.one/blog/misc/hez-history</guid>
            <pubDate>Sun, 19 Apr 2026 16:00:00 GMT</pubDate>
            <description><![CDATA[本文整理由 AI 编年汇总的浙江省杭州第二中学大事记，收录 2024 至 2026 年的校园动态。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>Miscellaneous</category>
        </item>
        <item>
            <title><![CDATA[题解：P2508 [HAOI2008] 圆上的整点]]></title>
            <link>https://lailai.one/blog/solution/P2508</link>
            <guid>https://lailai.one/blog/solution/P2508</guid>
            <pubDate>Tue, 14 Apr 2026 16:09:00 GMT</pubDate>
            <description><![CDATA[本文为洛谷 P2508 的题解，由费马平方和定理分解 r，累乘各 4k+1 型质因子指数求整点个数。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>OI</category>
            <category>Solution</category>
            <category>Luogu</category>
        </item>
        <item>
            <title><![CDATA[题解：P1999 高维正方体]]></title>
            <link>https://lailai.one/blog/solution/P1999</link>
            <guid>https://lailai.one/blog/solution/P1999</guid>
            <pubDate>Mon, 13 Apr 2026 14:33:47 GMT</pubDate>
            <description><![CDATA[本文为洛谷 P1999 的题解，b 维结构等价于选 b 个自由坐标，答案为组合数乘 2 的若干次方。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>OI</category>
            <category>Solution</category>
            <category>Luogu</category>
        </item>
        <item>
            <title><![CDATA[记录：GFSSM 2026 资格轮]]></title>
            <link>https://lailai.one/blog/record/gfssm-2026-qualification</link>
            <guid>https://lailai.one/blog/record/gfssm-2026-qualification</guid>
            <pubDate>Thu, 02 Apr 2026 14:00:00 GMT</pubDate>
            <description><![CDATA[本文记录参加 GFSSM 2026 空间站设计赛资格轮的全过程，复盘以 AI 为主的工作流与分工。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>AI</category>
            <category>Record</category>
        </item>
        <item>
            <title><![CDATA[题解：AT_wupc2012_6 最後の問題]]></title>
            <link>https://lailai.one/blog/solution/AT_wupc2012_6</link>
            <guid>https://lailai.one/blog/solution/AT_wupc2012_6</guid>
            <pubDate>Sat, 21 Mar 2026 10:04:22 GMT</pubDate>
            <description><![CDATA[本文为洛谷 AT_wupc2012_6 的题解，枚举对角点定矩形，用二维前缀和判内无点求最大空矩形。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>OI</category>
            <category>Solution</category>
            <category>AtCoder</category>
        </item>
        <item>
            <title><![CDATA[题解：P15649 [省选联考 2026] 找寻者 / recollector]]></title>
            <link>https://lailai.one/blog/solution/P15649</link>
            <guid>https://lailai.one/blog/solution/P15649</guid>
            <pubDate>Sat, 07 Mar 2026 05:53:22 GMT</pubDate>
            <description><![CDATA[本文为洛谷 P15649 的题解，把贡献拆到每条边，用积分恒等式与概率生成函数配合多项式乘除求解。]]></description>
            <author>lailai0x394@gmail.com (lailai)</author>
            <category>OI</category>
            <category>Solution</category>
            <category>Luogu</category>
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