AFAIK

回顾这个 blog 的历史，一开始是基于 Jekyll，后来因为太慢了，换成了 Hexo。今年我又折腾了一下 Hexo，例如加了中文字体切割，把 Related Posts 换成了基于 embedding model 的 recommendation，但是换来换去感觉还是基于别人的 theme 做。我还粗略看了一下其他的 SSG，例如 Hugo 的 PaperMod，但是感觉还是不如 hexo-theme-next。

后来也趁着 vibe coding 这么流行，我也在想要不要借此机会试试 vibe coding。之前的 feature 也都是 vibe code 出来的，我懒得去看 Hexo 的文档了（而且有些地方文档还不清楚）。这次就趁着大改 theme 的机会多试试 vibe coding（主要使用 Claude Code）。

今年的 SIGYAO30 就决定放在 Denver 啦，

2025 年的 第一场 SIGYAO30，比以往时候鸽的更多一些，最后只有十一个人过来了……东岸的人尤为鸽，为什么鸽也能出现了人传人现象？汤姐一如既往的鸽，她吐槽为什么每次 SIGYAO30 都能精准选在她生理期。胡老师本来非常积极，但是出发前一天，胡老师吃坏肚子了……令人惊奇的是鸽王 xpd 居然来了，另外一个亮点是毕老师不远千里迢迢从 HK 赶过来了，第一次参加线下的 SIGYAO30。

几个星期前，一位小伙伴 wzc 问我有啥娱乐活动。聊着聊着，我们就约起了 Yosemite。于是几天前，我们终于趁着还不需要预约的时候，赶个 ddl 去了趟 Yosemite.

TL;DR 实在是妙啊！不愧是国家公园啊！瀑布量大管饱。

先放一张 Yosemite 的地图，我觉得这张地图是最有用的：原图在这里。

我最近又准备小翻新一下博客了。虽然东西没写多少，但是主题更新的快呀哈哈哈哈哈毕竟差生文具多

（有一个和题面差不多长度的解答）

Recently I’m playing with a new code editor, Zed. I used it for about ten days and here write a review to share my experiences with it. This review is based on the latest version (v0.186.9).

In this post, we are interested in finding all integer and rational solutions for a general binary quadratic equation:

for any integer coefficients $a, b, c, d, e, f$. The equation might degenerate; we only point it out when it does but do not solve it, as it’s typically easier to solve a degenerate equation.

This post mainly serves as an entry point for a series of posts and also contains a little bit of the story behind the posts. That is why this post has index 0 in the title.

In this post, we are interested in finding all integer solutions of the following equation:

where $acn \neq 0$, $b^2 - 4ac \neq 0$. This equation can certainly be solved using methods from the generalized Pell equation, but here, we explore other methods.

The function $ax^2 + bxy + cy^2$ is also called the binary quadratic form (BQF), which we denote as $\left< a,b,c \right>$ for brevity. The discriminant of $\left< a,b,c \right>$ is defined as $\Delta := b^2 - 4ac$.

In this post, we are interested in finding all integer solutions of Pell equation

and generalized Pell equation

for a non-square integer $d > 0$ and $n \neq 0$.

In this post, we’re interested in finding all integer solutions of a binary quadratic equation:

for $a, b, n > 0$.

In this post, we’re interested in finding any or all integer solutions of a binary quadratic equation:

We assume that the equation is non-degenerate in the sense that $n \neq 0$.

In this post, we’re interested in finding any or all rational solutions of the following equation:

or alternatively, all integer solutions to the Legendre equation:

where $abc \neq 0$.