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 C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Text;
using System.Collections.Generic;
using System.Linq;
using System.Numerics;
class AtCoder
{
    const int MOD = 1000000007;
    public void Slove()
    {
        var n = int.Parse(Console.ReadLine());
        long[] hist = new long[26];
        foreach(var c in Console.ReadLine())
        {
            hist[c - 'a']++;
        }
        long ans = hist.Aggregate(1L, (sum, x) => sum * (x + 1) % MOD);
        ans = ans == 0 ? MOD - 1: ans - 1;
        System.Console.WriteLine(ans);
    }
    static void Main()
    {
        var ac = new AtCoder();
        ac.Slove();
    }
}