数字 - 問題

#6741. 数字

統計

この問題の作成者： orangejuice .

AI Translation — This statement was translated using AI and may contain inaccuracies. Please refer to the original statement if in doubt.

给定一个正整数 $n$，在每一轮中：

从 $n$ 的十进制表示中均匀随机选择一个数字 $d$。
将 $n$ 更新为 $n \leftarrow n \cdot (d + 1)$。

计算 $n$ 超过 $N$ 所需的期望轮数，结果对 $998244353$ 取模。

输入格式

输入包含多组测试数据。第一行包含一个整数 $T$ ($1 \le T \le 200$)，表示测试数据的组数。对于每组测试数据，第一行包含两个整数 $n$ 和 $N$ ($1 \le n \le N \le 10^{18}$)。

输出格式

对于每组测试数据，输出一行，包含一个整数，表示答案。可以证明答案总是存在的。

样例

输入 1

输出 1

3
4
942786340

Discussions

About Discussions

The discussion section is only for posting: General Discussions (problem-solving strategies, alternative approaches), and Off-topic conversations.

This is NOT for reporting issues! If you want to report bugs or errors, please use the Issues section below.

Open Discussions 0

No discussions in this category.

Issues

About Issues

If you find any issues with the problem (statement, scoring, time/memory limits, test cases, etc.), you may submit an issue here. A problem moderator will review your issue.

Guidelines:

This is not a place to publish discussions, editorials, or requests to debug your code. Issues are only visible to you and problem moderators.
Do not submit duplicated issues.
Issues must be filed in English or Chinese only.

Active Issues 0

No issues in this category.

Closed/Resolved Issues 0