P1819 Common Subsequences
Description
Find how many distinct common subsequences the $3$ character sequences share, excluding the empty sequence.
Input Format
The first line contains a positive integer $n$, denoting the length of the $3$ sequences.
The next $3$ lines each contain a length-$n$ character sequence without spaces. Only lowercase letters `a` to `z` are used.
Output Format
One line with a positive integer $ans$, taken modulo $10^8$.
Explanation/Hint
#### Sample 1 Explanation
For the single sample, there are $5$ subsequences: `a`, `ab`, `aa`, `bb`, `b`.
#### Constraints and Conventions
- For $30\%$ of the testdata, it is guaranteed that $1 \le n \le 10$.
- For $70\%$ of the testdata, it is guaranteed that $1 \le n \le 50$.
- For $100\%$ of the testdata, it is guaranteed that $1 \le n \le 150$.
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