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        <title>谜题库</title>
        <link>https://puzzle.dezhonger.com/zh/</link>
        <description>值得思考的谜题、问题与思想笔记。</description>
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        <item>
            <title><![CDATA[有向图中的 1 步或 2 步路径]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-10-path-one-or-two-in-directed-graph</link>
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            <pubDate>Sat, 05 Sep 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[每个有序顶点对之间恰有一条直接边或一条两步路径；图中有多少个顶点？]]></description>
        </item>
        <item>
            <title><![CDATA[把立方体切成盒子]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-11-cutting-a-cube-into-a-box</link>
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            <pubDate>Sat, 05 Sep 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[将边长 12 厘米的立方体切成四块，重组成 8×8×27 厘米的长方体。]]></description>
        </item>
        <item>
            <title><![CDATA[不含零的 2^1999 倍数]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-12-zero-less-multiple-of-two-power-1999</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-12-zero-less-multiple-of-two-power-1999</guid>
            <pubDate>Sat, 05 Sep 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[是否存在一个正的 2^1999 倍数，其十进制表示中不含数字 0？]]></description>
        </item>
        <item>
            <title><![CDATA[接高飞棒球]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-2000-01-catching-baseball</link>
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            <pubDate>Sat, 05 Sep 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[只观察高飞球仰角的变化，如何判断外野手应向前还是向后移动？]]></description>
        </item>
        <item>
            <title><![CDATA[Wally 的石块置换]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-04-wallys-rock-permuting</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-04-wallys-rock-permuting</guid>
            <pubDate>Mon, 31 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[一次服务可交换任意多对互不重叠的石块；将 N 块石头排好序的最坏花费是多少？]]></description>
        </item>
        <item>
            <title><![CDATA[整数边长矩形的分割]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-05-integer-side-rectangles-partition</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-05-integer-side-rectangles-partition</guid>
            <pubDate>Mon, 31 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[若每个对齐的小矩形至少有一条整数边，大矩形也必有一条整数边吗？]]></description>
        </item>
        <item>
            <title><![CDATA[1 枚加剩余奖牌的七分之一]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-06-one-plus-one-seventh-of-the-medals</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-06-one-plus-one-seventh-of-the-medals</guid>
            <pubDate>Mon, 31 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[每天发放当天编号枚奖牌，再发剩余奖牌的七分之一；比赛持续多少天？]]></description>
        </item>
        <item>
            <title><![CDATA[保龄球瓶编号]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-07-labeling-bowling-pins</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-07-labeling-bowling-pins</guid>
            <pubDate>Mon, 31 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[给三角形排列的十个球瓶标上 0 到 9，并满足相邻和的模 10 规则。]]></description>
        </item>
        <item>
            <title><![CDATA[在 N+M 两张桌子上安排座位]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-08-seating-people-on-n-plus-m-tables</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-08-seating-people-on-n-plus-m-tables</guid>
            <pubDate>Mon, 31 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[让 M+N 人中每一对至少同桌一次，最少需要安排多少顿饭？]]></description>
        </item>
        <item>
            <title><![CDATA[识别菜品]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-09-recognizing-dishes</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-09-recognizing-dishes</guid>
            <pubDate>Mon, 31 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[五人如何在三顿饭后认出九种陌生菜品？为什么十种菜不可能做到？]]></description>
        </item>
        <item>
            <title><![CDATA[偶数斐波那契数]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/even-fibonacci-numbers</link>
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            <pubDate>Wed, 26 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[Project Euler 第 2 题：形式化为有界数列求和，并直接在偶数项之间递推。]]></description>
        </item>
        <item>
            <title><![CDATA[糖霜蛋糕的切分]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1998-11-cutting-frosted-cake</link>
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            <pubDate>Tue, 25 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[把正方形或矩形糖霜蛋糕分给 N 位客人，让蛋糕与糖霜都完全均分。]]></description>
        </item>
        <item>
            <title><![CDATA[铲雪车与降雪时间]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1998-12-removing-snow</link>
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            <pubDate>Tue, 25 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[根据恒定清雪速率下的两次路程观测，确定持续降雪何时开始。]]></description>
        </item>
        <item>
            <title><![CDATA[水杯与水的质心]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-01-water-glass-center-of-mass</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-01-water-glass-center-of-mass</guid>
            <pubDate>Tue, 25 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[总质心最低时的水深，反推出圆柱形玻璃杯自身的质量。]]></description>
        </item>
        <item>
            <title><![CDATA[拴着绳子的羊吃草]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-02-a-leashed-sheep-eats-grass</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-02-a-leashed-sheep-eats-grass</guid>
            <pubDate>Tue, 25 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[羊拴在圆形草地边缘时，绳长多长才能恰好吃掉一半的草？]]></description>
        </item>
        <item>
            <title><![CDATA[舞厅中的完全子图]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-03-cliques-of-people-in-a-ballroom</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1999-03-cliques-of-people-in-a-ballroom</guid>
            <pubDate>Tue, 25 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[最少认识人数何时能强迫、又何时不能强迫出现一个四人完全子图？]]></description>
        </item>
        <item>
            <title><![CDATA[地球上的腰带]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1998-05-belt-around-the-earth</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1998-05-belt-around-the-earth</guid>
            <pubDate>Thu, 20 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[多出 6 米、抬起一个点，答案会颠覆最初的直觉。]]></description>
        </item>
        <item>
            <title><![CDATA[聚会握手问题]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1998-06-shaking-hands-in-a-party</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1998-06-shaking-hands-in-a-party</guid>
            <pubDate>Thu, 20 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[七个互不相同的握手次数，揭示四对夫妻间隐藏的结构。]]></description>
        </item>
        <item>
            <title><![CDATA[桶中的网球]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1998-07-tennis-balls-in-a-bucket</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1998-07-tennis-balls-in-a-bucket</guid>
            <pubDate>Thu, 20 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[把互不相同的正整数排入每行三个桶，并让公共和尽可能小。]]></description>
        </item>
        <item>
            <title><![CDATA[等边三角形]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1998-08-equilateral-triangle</link>
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            <pubDate>Thu, 20 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[内部等边三角形与循环相等的边上距离，迫使外部三角形也成为等边。]]></description>
        </item>
        <item>
            <title><![CDATA[大卫之星幻方]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1998-09-magic-star-of-david</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1998-09-magic-star-of-david</guid>
            <pubDate>Thu, 20 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[把 1 到 12 放上六芒星，使六条直线的和全部相同。]]></description>
        </item>
        <item>
            <title><![CDATA[煎饼排序]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1998-10-sorting-pancakes</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/ponder-this-1998-10-sorting-pancakes</guid>
            <pubDate>Thu, 20 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[对不同大小的煎饼做前缀翻转，最难的排列需要多少次操作？]]></description>
        </item>
        <item>
            <title><![CDATA[画对那张图]]></title>
            <link>https://puzzle.dezhonger.com/zh/notes/drawing-the-right-diagram</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/notes/drawing-the-right-diagram</guid>
            <pubDate>Mon, 17 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[为什么一条辅助线可能比一页代数推导更有价值。]]></description>
        </item>
        <item>
            <title><![CDATA[把不变量看作守恒律]]></title>
            <link>https://puzzle.dezhonger.com/zh/notes/invariants-as-conservation-laws</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/notes/invariants-as-conservation-laws</guid>
            <pubDate>Mon, 17 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[一种实用方法：寻找合法操作无法改变的量。]]></description>
        </item>
        <item>
            <title><![CDATA[对称性何时会多算]]></title>
            <link>https://puzzle.dezhonger.com/zh/notes/when-symmetry-counts-too-much</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/notes/when-symmetry-counts-too-much</guid>
            <pubDate>Mon, 17 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[轨道视角、Burnside 引理，以及意外重复计数的警告信号。]]></description>
        </item>
        <item>
            <title><![CDATA[康威的士兵]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/conways-soldiers</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/conways-soldiers</guid>
            <pubDate>Mon, 17 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[当每一步都必须跳过一枚棋子时，一支木钉军队能前进多远？]]></description>
        </item>
        <item>
            <title><![CDATA[最大质因数]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/largest-prime-factor</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/largest-prime-factor</guid>
            <pubDate>Mon, 17 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[Project Euler 第 3 题：形式化为质因数集合上的最大值，并使用连续试除法求解。]]></description>
        </item>
        <item>
            <title><![CDATA[蒙提霍尔悖论]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/monty-hall-paradox</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/monty-hall-paradox</guid>
            <pubDate>Mon, 17 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[一份奖品、三扇门和一位知道答案的主持人：应该换门吗？]]></description>
        </item>
        <item>
            <title><![CDATA[莫雷奇迹]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/morleys-miracle</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/morleys-miracle</guid>
            <pubDate>Mon, 17 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[任意三角形中，相邻角的三等分线交点构成等边三角形。]]></description>
        </item>
        <item>
            <title><![CDATA[3 或 5 的倍数]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/multiples-of-3-or-5</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/multiples-of-3-or-5</guid>
            <pubDate>Mon, 17 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[Project Euler 第 1 题：形式化描述，并使用等差数列与容斥原理解答。]]></description>
        </item>
        <item>
            <title><![CDATA[100 名囚徒问题]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/the-100-prisoners-problem</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/the-100-prisoners-problem</guid>
            <pubDate>Mon, 17 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[沿置换环行走的策略，把几乎不可能的搜索变成了颇有希望的尝试。]]></description>
        </item>
        <item>
            <title><![CDATA[残缺的棋盘]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/the-mutilated-chessboard</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/the-mutilated-chessboard</guid>
            <pubDate>Mon, 17 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[去掉两个角、放下三十一块多米诺骨牌，一种染色方式就能决定答案。]]></description>
        </item>
        <item>
            <title><![CDATA[九点圆]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/the-nine-point-circle</link>
            <guid isPermaLink="false">https://puzzle.dezhonger.com/zh/puzzles/the-nine-point-circle</guid>
            <pubDate>Mon, 17 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[任意三角形中的九个特殊点，安静地共圆。]]></description>
        </item>
        <item>
            <title><![CDATA[两个信封问题]]></title>
            <link>https://puzzle.dezhonger.com/zh/puzzles/the-two-envelope-problem</link>
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            <pubDate>Mon, 17 Aug 2026 00:00:00 GMT</pubDate>
            <description><![CDATA[一个诱人的期望值计算，似乎说无论何时换信封都更好。]]></description>
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