[NOIP 1999 普及组] Cantor 表

{
  "problem": {
    "name": "[NOIP 1999 普及组] Cantor 表",
    "description": {
      "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： ![](https://cdn.luogu.com.cn/upload/image_hosting/jdjdaf73.png) 我们以 Z 字形给上表的每一项编号。第一项是 $1/1$，然后是 $1/2$，$2/1$，$3/1$，$2/2$，…",
      "description_type": "Markdown"
    },
    "platform": "Luogu",
    "limit": {
      "time_limit": 1000,
      "memory_limit": 131072
    },
    "difficulty": {
      "LuoguStyle": "P2"
    },
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "LGP1014"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "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 $1/2$，$2/1$，$3/1$，$2/2$，…\n\n## Input\n\n整数 $N$（...",
      "is_translate": false,
      "language": "English"
    }
  ]
}