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 PYTHON3):

Solution:
n=input()
m=list(n)
dic={}
a=0
for i in range(len(m)):
    if m[i] in dic:
        dic[m[i]]+=1
    else:
        dic[m[i]]=1
for key in dic:
    if dic[key]==1:
        a+=1
    else:
        a+=pow(dic[key],2)
print(a)