1141 : Reverse

时间限制Time Limit
1 秒Sec
内存限制Memory Limit
128 兆MB
提交次数Submitted
4 次Times
通过次数Solved
2 次Times

题目描述Description

Bobo has an n digits decimal number D = d1d2…dn (It may have leading zeros).

Let R(i, j) denotes number D with digits between the i-th position and j-th position reversed.

That is, R(i, j) = d1…di − 1djdj − 1…didj + 1dj + 2…dn.

Bobo would like to find

$$ \sum_{i=1}^{n}\sum_{j=i}^{n}R(i,j) $$

modulo (109 + 7).

输入格式Input

The input contains at most 30 sets. For each set:

The first line contains an integer n(1 ≤ n ≤ 105).

The second line contains n digits d1d2…dn(0 ≤ di ≤ 9).

输出格式Output

For each set, an integer denotes the result.

样例Sample

出题Author

ftiasch