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A. Even Substrings

time limit per test

0.5 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou are given a string $$$s=s_1s_2\dots s_n$$$ of length $$$n$$$, which only contains digits $$$1$$$, $$$2$$$, ..., $$$9$$$.

A substring $$$s[l \dots r]$$$ of $$$s$$$ is a string $$$s_l s_{l + 1} s_{l + 2} \ldots s_r$$$. A substring $$$s[l \dots r]$$$ of $$$s$$$ is called even if the number represented by it is even.

Find the number of even substrings of $$$s$$$. Note, that even if some substrings are equal as strings, but have different $$$l$$$ and $$$r$$$, they are counted as different substrings.

Input

The first line contains an integer $$$n$$$ ($$$1 \le n \le 65000$$$) — the length of the string $$$s$$$.

The second line contains a string $$$s$$$ of length $$$n$$$. The string $$$s$$$ consists only of digits $$$1$$$, $$$2$$$, ..., $$$9$$$.

Output

Print the number of even substrings of $$$s$$$.

Examples

Input

4 1234

Output

6

Input

4 2244

Output

10

Note

In the first example, the $$$[l, r]$$$ pairs corresponding to even substrings are:

- $$$s[1 \dots 2]$$$
- $$$s[2 \dots 2]$$$
- $$$s[1 \dots 4]$$$
- $$$s[2 \dots 4]$$$
- $$$s[3 \dots 4]$$$
- $$$s[4 \dots 4]$$$

In the second example, all $$$10$$$ substrings of $$$s$$$ are even substrings. Note, that while substrings $$$s[1 \dots 1]$$$ and $$$s[2 \dots 2]$$$ both define the substring "2", they are still counted as different substrings.

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

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