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: Wrong Answer)

// Undone
using System;
using System.Linq;
using System.Collections.Generic;
using System.Collections;
public class Program {
  public static void Main() {
    int N = ReadInt();
    char[] S = ReadCharArray();
    int[] count = S.Distinct().Select(c => S.Count(d => d == c)).ToArray();
    long ans = 1L;
    foreach (int i in count) {
      ans *= i + 1;
      ans %= 100007;
    }
    Console.WriteLine(ans-1);
  }

  private static List<int> _var;
  public static int cin() { if (_var == null || _var.Count() == 0) { _var = Console.ReadLine().Split(' ').Select(int.Parse).ToList<int>(); } int ans = _var[0]; _var.RemoveAt(0); return ans; }
  public static void Swap<T>(ref T a, ref T b) {T temp = a;a = b;b = temp;}
  public static string ReadStr() { return Console.ReadLine(); }
  public static int ReadInt() { return int.Parse(Console.ReadLine()); }
  public static double ReadDouble() { return double.Parse(Console.ReadLine()); }
  public static long ReadLong() { return long.Parse(Console.ReadLine()); }
  public static char ReadChar() { return Console.ReadLine()[0]; }
  public static string[] ReadStringArray() { return Console.ReadLine().Split(' '); }
  public static int[] ReadIntArray() { return Console.ReadLine().Split(' ').Select(int.Parse).ToArray(); }
  public static double[] ReadDoubleArray() { return Console.ReadLine().Split(' ').Select(double.Parse).ToArray(); }
  public static long[] ReadLongArray() { return Console.ReadLine().Split(' ').Select(long.Parse).ToArray(); }
  public static char[] ReadCharArray() { return Console.ReadLine().ToArray(); }
  public static string[] ReadCharStringArray() { return Console.ReadLine().ToCharArray().Select(c => c.ToString()).ToArray(); }
}