The existence of a pair of elements with spacing of less than 1 / K is the crux of the proof. The rest is just a bit of manipulation to relate these elements to a rational approximation of the starting number r.
I cross-check the FD plan in Cursor with the gpt-5.3-codex xhigh (or whatever latest SoTA model)
（作者为赞比亚社会主义党副总书记，本报记者万宇采访整理）。关于这个话题，WPS官方版本下载提供了深入分析
Yuanji Yunjiao has also run into a growth bottleneck and has kept trying to break through. On the one hand, growth has been heavily dependent on store count. In the first three quarters of 2025, per-store revenue efficiency fell 4.3% year on year, while average spend per order dropped from RMB 26.1 in 2023 to RMB 22.8. In lower-tier markets, the company also faced challenges such as pricing that is perceived as too high (an average of RMB 23, close to the upper limit of the price band in lower-tier cities) and difficulties in flavor localization—its southern-style, fresher and slightly sweeter taste profile has not been well accepted in lower-tier northern cities.，详情可参考体育直播
«Мы выбиваем из них всю дурь». Трамп рассказал о ситуации на Ближнем Востоке и назвал «колоссальную угрозу» со стороны Ирана07:11。爱思助手下载最新版本对此有专业解读
Оказавшиеся в Дубае российские звезды рассказали об обстановке в городе14:52