{"raw_statement":[{"iden":"background","content":"![](https://cdn.luogu.com.cn/upload/image_hosting/jdi9nrec.png)"},{"iden":"statement","content":"给定 $n,m$，求\n\n$$\\sum_{i=1}^n \\sum_{j=1}^m \\sigma_0(ij)\\varphi(ij)$$"},{"iden":"input","content":"两个整数 $n,m$。"},{"iden":"output","content":"一个整数，表示答案。答案对 $10^9+7$ 取模。"},{"iden":"note","content":"$\\sigma_0,\\varphi$ 分别为因数个数函数，欧拉函数。\n\n本题可能轻微卡常。\n\n### 数据规模\n本题采用捆绑测试。\n\n| $\\text{Subtask}$ | $n,m\\le$ |  $\\text{Score}$ |\n| :----------: | :----------: | :----------: |\n| $1$ | $10^3$ | $10$ |\n| $2$ | $10^5$ |  $30$ |\n| $3$ | $2\\times 10^5$ | $30$ |\n| $4$ | $5\\times 10^5$ | $30$ |\n| $5$ | $3\\times 10^6$ | $1$ |\n\n对于所有数据，$1\\le n,m\\le 3\\times 10^6$。\n\n出于某些原因，你只要得到了 $\\ge 100$ 分就可以通过此题。"}],"translated_statement":null,"sample_group":[["5 5","453"],["20 20","173825"]],"show_order":[],"formal_statement":null,"simple_statement":null,"has_page_source":false}