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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
#define INF 1e18
#define int long long
#define Rep(i, a, n) for (int i = (a); i < (n); i++)
#define Repr(i, n, a) for (int i = (n); i >= (a); i--)
#define rep(i, n) Rep(i, 0, n)
#define repr(i, n) Repr(i, n, 0)
#define all(a) a.begin(), a.end()
using namespace std;
typedef pair<int, int> P;
typedef pair<int, P> PP;
const int mod = 1000000007;

signed main()
{
    ios::sync_with_stdio(false);
    cin.tie(0);

    int n;
    string s;
    cin >> n >> s;
    int cnt[26] = {};
    rep(i, n)
    {
        cnt[s[i] - 'a']++;
    }
    int ans = 1;
    rep(i, 26) ans *= cnt[i] + 1;
    ans--;
    cout << ans << endl;
}