{"raw_statement":[{"iden":"statement","content":"现代数学的著名证明之一是 Georg Cantor 证明了有理数是可枚举的。他是用下面这一张表来证明这一命题的：\n\n![](https://cdn.luogu.com.cn/upload/image_hosting/jdjdaf73.png)\n\n我们以 Z 字形给上表的每一项编号。第一项是 $1/1$，然后是 $1/2$，$2/1$，$3/1$，$2/2$，…"},{"iden":"input","content":"整数 $N$（$1 \\leq N \\leq 10^7$）。"},{"iden":"output","content":"表中的第 $N$ 项。"},{"iden":"note","content":"- 2024-11-18 0:30 数据中加入了样例，放在不计分的子任务 2 中。"}],"translated_statement":null,"sample_group":[["7\n","1/4"]],"show_order":[],"formal_statement":null,"simple_statement":null,"has_page_source":false}