Problem: There is a given string S consisting of N symbols. Your task is to find the number of ordered pairs of integers i and j such that

1. 1 ≤ i, j ≤ N

2. S[i] = S[j], that is the i-th symbol of string S is equal to the j-th.

Input

The single input line contains S, consisting of lowercase Latin letters and digits. It is guaranteed that string S in not empty and its length does not exceed 105.

Output

Print a single number which represents the number of pairs i and j with the needed property. Pairs (x, y) and (y, x) should be considered different, i.e. the ordered pairs count.

Examples

Input

great10


Output

7


Input

aaaaaaaaaa


Output

100

Solution (in PYTHON):

Solution:
if __name__ == '__main__':
    word = raw_input()
    _dict = {}

    for letter in word:
        if _dict.has_key(letter):
            _dict[letter] += 1
        else:
            _dict[letter] = 1

    result = 0
    for key, value in _dict.iteritems():
        result += pow(value, 2)

    print result