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A12133. Vasya and Big Integers

编程题 普及/提高-

题目描述

The first line contains a single integer $a~(1 \le a \le 10^{1000000})$ .

The second line contains a single integer $l~(0 \le l \le 10^{1000000})$ .

The third line contains a single integer $r~(0 \le r \le 10^{1000000})$ .

It is guaranteed that $l \le r$ .

It is also guaranteed that numbers $a, l, r$ contain no leading zeros.

输入格式

Print a single integer — the amount of partitions of number $a$ such that they match all the given requirements modulo $998244353$ .

输出格式

In the first test case, there are two good partitions $13+5$ and $1+3+5$ .

In the second test case, there is one good partition $1+0+0+0+0$ .

输入输出样例

输入 #1
135
1
15
输出 #1
2
输入 #2
10000
0
9
输出 #2
1

说明/提示

In the first test case, there are two good partitions $13+5$ and $1+3+5$ .

In the second test case, there is one good partition $1+0+0+0+0$ .
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