质因子

{
  "problem": {
    "name": "质因子",
    "description": {
      "content": "给定 [numlist.txt](https://www.luogu.com.cn/fe/api/problem/downloadAttachment/rxuwd604?contestId=170180)，请求出文件中的 $1000$ 个数的乘积的质因子 $2$ 出现的次数。",
      "description_type": "Markdown"
    },
    "platform": "Luogu",
    "limit": {
      "time_limit": 1000,
      "memory_limit": 524288
    },
    "difficulty": {
      "LuoguStyle": "P2"
    },
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "LGP10508"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "给定 [numlist.txt](https://www.luogu.com.cn/fe/api/problem/downloadAttachment/rxuwd604?contestId=170180)，请求出文件中的 $1000$ 个数的乘积的质因子 $2$ 出现的次数。\n\n## Input\n\n无\n\n## Output\n\n输出答案即可。\n\n[samples]\n\n## Background\n\n你...",
      "is_translate": false,
      "language": "English"
    }
  ]
}