Misha has an array of *n* integers indexed by integers from 1 to *n*. Let's define palindrome degree of array *a* as the number of such index pairs (*l*, *r*)(1 ≤ *l* ≤ *r* ≤ *n*), that the elements from the *l*-th to the *r*-th one inclusive can be rearranged in such a way that the whole array will be a palindrome. In other words, pair (*l*, *r*) should meet the condition that after some rearranging of numbers on positions from *l* to *r*, inclusive (it is allowed not to rearrange the numbers at all), for any 1 ≤ *i* ≤ *n* following condition holds: *a*[*i*] = *a*[*n* - *i* + 1]. 

Your task is to find the palindrome degree of Misha's array.
The first line contains integer *n* (1 ≤ *n* ≤ 10<sup class="upper-index">5</sup>).

The second line contains *n* positive integers *a*[*i*] (1 ≤ *a*[*i*] ≤ *n*), separated by spaces — the elements of Misha's array.
print("_RANDOM_GUESS_1689256032.034163")# 1689256032.034206