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    <id>https://lailai.one/blog</id>
    <title>lailai's Home Blog</title>
    <updated>2024-10-16T16:00:00.000Z</updated>
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    <link rel="alternate" href="https://lailai.one/blog"/>
    <subtitle>lailai's Home Blog</subtitle>
    <icon>https://lailai.one/img/favicon.ico</icon>
    <entry>
        <title type="html"><![CDATA[Welcome to lailai's Blog! 👋]]></title>
        <id>https://lailai.one/blog/welcome</id>
        <link href="https://lailai.one/blog/welcome"/>
        <updated>2024-10-16T16:00:00.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="Notice" term="Notice"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[记录：学军黑客松]]></title>
        <id>https://lailai.one/blog/record/xuejun-hackathon</id>
        <link href="https://lailai.one/blog/record/xuejun-hackathon"/>
        <updated>2026-10-04T16:10:00.000Z</updated>
        <summary type="html"><![CDATA[2026 学军黑客松记录。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="AI" term="AI"/>
        <category label="Record" term="Record"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[题解：P9141 [THUPC 2023 初赛] 乱西星上的空战]]></title>
        <id>https://lailai.one/blog/solution/P9141</id>
        <link href="https://lailai.one/blog/solution/P9141"/>
        <updated>2026-08-28T08:40:32.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="OI" term="OI"/>
        <category label="Solution" term="Solution"/>
        <category label="Luogu" term="Luogu"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[数学：燃烧数]]></title>
        <id>https://lailai.one/blog/math/fusible-numbers</id>
        <link href="https://lailai.one/blog/math/fusible-numbers"/>
        <updated>2026-08-26T13:31:00.000Z</updated>
        <summary type="html"><![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)。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="Mathematics" term="Mathematics"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[记录：GFSSM 2026 决赛]]></title>
        <id>https://lailai.one/blog/record/gfssm-2026-final</id>
        <link href="https://lailai.one/blog/record/gfssm-2026-final"/>
        <updated>2026-08-14T09:40:00.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="Travel" term="Travel"/>
        <category label="Record" term="Record"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[题解：P17140 [NOI 2026] 线段]]></title>
        <id>https://lailai.one/blog/solution/P17140</id>
        <link href="https://lailai.one/blog/solution/P17140"/>
        <updated>2026-07-25T05:57:44.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="OI" term="OI"/>
        <category label="Solution" term="Solution"/>
        <category label="Luogu" term="Luogu"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[数学：不等式挑战（二）]]></title>
        <id>https://lailai.one/blog/math/six-factor-inequality</id>
        <link href="https://lailai.one/blog/math/six-factor-inequality"/>
        <updated>2026-07-18T11:26:00.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="Mathematics" term="Mathematics"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[题解：AT_arc222_f [ARC222F] Triple Transformation]]></title>
        <id>https://lailai.one/blog/solution/AT_arc222_f</id>
        <link href="https://lailai.one/blog/solution/AT_arc222_f"/>
        <updated>2026-07-12T15:51:10.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="OI" term="OI"/>
        <category label="Solution" term="Solution"/>
        <category label="AtCoder" term="AtCoder"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[题解：P3846 【模板】BSGS / [TJOI2007] 可爱的质数]]></title>
        <id>https://lailai.one/blog/solution/P3846</id>
        <link href="https://lailai.one/blog/solution/P3846"/>
        <updated>2026-06-29T15:20:26.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="OI" term="OI"/>
        <category label="Solution" term="Solution"/>
        <category label="Luogu" term="Luogu"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[数学：同构的运算]]></title>
        <id>https://lailai.one/blog/math/lattice-operations</id>
        <link href="https://lailai.one/blog/math/lattice-operations"/>
        <updated>2026-06-01T01:33:00.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="Mathematics" term="Mathematics"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[题解：P6597 烯烃计数]]></title>
        <id>https://lailai.one/blog/solution/P6597</id>
        <link href="https://lailai.one/blog/solution/P6597"/>
        <updated>2026-05-31T15:11:21.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="OI" term="OI"/>
        <category label="Solution" term="Solution"/>
        <category label="Luogu" term="Luogu"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[题解：P6598 烷烃计数]]></title>
        <id>https://lailai.one/blog/solution/P6598</id>
        <link href="https://lailai.one/blog/solution/P6598"/>
        <updated>2026-05-31T14:30:21.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="OI" term="OI"/>
        <category label="Solution" term="Solution"/>
        <category label="Luogu" term="Luogu"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[题解：P3788 幽幽子吃西瓜]]></title>
        <id>https://lailai.one/blog/solution/P3788</id>
        <link href="https://lailai.one/blog/solution/P3788"/>
        <updated>2026-05-12T15:30:24.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="OI" term="OI"/>
        <category label="Solution" term="Solution"/>
        <category label="Luogu" term="Luogu"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[杂谈：AI 多媒体任务]]></title>
        <id>https://lailai.one/blog/record/ai-multimedia</id>
        <link href="https://lailai.one/blog/record/ai-multimedia"/>
        <updated>2026-05-02T16:00:00.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="AI" term="AI"/>
        <category label="Record" term="Record"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[项目：浙江省杭州第二中学校史]]></title>
        <id>https://lailai.one/blog/misc/hez-history</id>
        <link href="https://lailai.one/blog/misc/hez-history"/>
        <updated>2026-04-19T16:00:00.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="Miscellaneous" term="Miscellaneous"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[题解：P2508 [HAOI2008] 圆上的整点]]></title>
        <id>https://lailai.one/blog/solution/P2508</id>
        <link href="https://lailai.one/blog/solution/P2508"/>
        <updated>2026-04-14T16:09:00.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="OI" term="OI"/>
        <category label="Solution" term="Solution"/>
        <category label="Luogu" term="Luogu"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[题解：P1999 高维正方体]]></title>
        <id>https://lailai.one/blog/solution/P1999</id>
        <link href="https://lailai.one/blog/solution/P1999"/>
        <updated>2026-04-13T14:33:47.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="OI" term="OI"/>
        <category label="Solution" term="Solution"/>
        <category label="Luogu" term="Luogu"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[记录：GFSSM 2026 资格轮]]></title>
        <id>https://lailai.one/blog/record/gfssm-2026-qualification</id>
        <link href="https://lailai.one/blog/record/gfssm-2026-qualification"/>
        <updated>2026-04-02T14:00:00.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="AI" term="AI"/>
        <category label="Record" term="Record"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[题解：AT_wupc2012_6 最後の問題]]></title>
        <id>https://lailai.one/blog/solution/AT_wupc2012_6</id>
        <link href="https://lailai.one/blog/solution/AT_wupc2012_6"/>
        <updated>2026-03-21T10:04:22.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="OI" term="OI"/>
        <category label="Solution" term="Solution"/>
        <category label="AtCoder" term="AtCoder"/>
    </entry>
    <entry>
        <title type="html"><![CDATA[题解：P15649 [省选联考 2026] 找寻者 / recollector]]></title>
        <id>https://lailai.one/blog/solution/P15649</id>
        <link href="https://lailai.one/blog/solution/P15649"/>
        <updated>2026-03-07T05:53:22.000Z</updated>
        <summary type="html"><![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。]]></summary>
        <author>
            <name>lailai</name>
            <email>lailai0x394@gmail.com</email>
        </author>
        <category label="OI" term="OI"/>
        <category label="Solution" term="Solution"/>
        <category label="Luogu" term="Luogu"/>
    </entry>
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