Count Good Substrings

Description:

Input:

The first line of the input contains a single string of length n (1 ≤ n ≤ 10⁵). Each character of the string will be either 'a' or 'b'.

Output:

Print two space-separated integers: the number of good substrings of even length and the number of good substrings of odd length.

Sample Input:

bb

Sample Output:

1 2

Sample Input:

baab

Sample Output:

2 4

Sample Input:

babb

Sample Output:

2 5

Sample Input:

babaa

Sample Output:

2 7

Note:

In example 1, there are three good substrings ("b", "b", and "bb"). One of them has even length and two of them have odd length.

In example 2, there are six good substrings (i.e. "b", "a", "a", "b", "aa", "baab"). Two of them have even length and four of them have odd length.

In example 3, there are seven good substrings (i.e. "b", "a", "b", "b", "bb", "bab", "babb"). Two of them have even length and five of them have odd length.

Definitions

A substring s[l, r] (1 ≤ l ≤ r ≤ n) of string s = s₁s₂... s_n is string s_ls_l + 1... s_r.

A string s = s₁s₂... s_n is a palindrome if it is equal to string s_ns_n - 1... s₁.