Problem:
Score : 200 points

Problem Statement

You are given a string S of length N.
Among its subsequences, count the ones such that all characters are different, modulo 10^9+7. Two subsequences are considered different if their characters come from different positions in the string, even if they are the same as strings.

Here, a subsequence of a string is a concatenation of one or more characters from the string without changing the order.

Constraints

1 \leq N \leq 100000

S consists of lowercase English letters.

|S|=N

Input

Input is given from Standard Input in the following format:

N
S

Output

Print the number of the subsequences such that all characters are different, modulo 10^9+7.

Sample Input 1

4
abcd

Sample Output 1

15

Since all characters in S itself are different, all its subsequences satisfy the condition.

Sample Input 2

3
baa

Sample Output 2

5

The answer is five: b, two occurrences of a, two occurrences of ba. Note that we do not count baa, since it contains two as.

Sample Input 3

5
abcab

Sample Output 3

17

Solution in PyPy3 (2.4.0) (judge verdict: Accepted)

n = int(input())
 
s = input()
 
x = []
 
for i in range(n):
    x.append(s[i])
 
import collections
 
clist = collections.Counter(x)
 
y = list(clist.values())
 
cnt = 1
 
for item in y:
    cnt = cnt * (item + 1)
 
cnt = cnt - 1
cnt = cnt % (10 ** 9 + 7)
print(cnt)