A10233. Wet Shark and Odd and Even

Today, Wet Shark is given $n$ integers. Using any of these integers no more than once, Wet Shark wants to get maximum possible even (divisible by $2$ ) sum. Please, calculate this value for Wet Shark.

Note, that if Wet Shark uses no integers from the $n$ integers, the sum is an even integer $0$ .

The first line of the input contains one integer, $n$ ( $1<=n<=100000$ ). The next line contains $n$ space separated integers given to Wet Shark. Each of these integers is in range from $1$ to $10^{9}$ , inclusive.

Print the maximum possible even sum that can be obtained if we use some of the given integers.

In the first sample, we can simply take all three integers for a total sum of $6$ .

In the second sample Wet Shark should take any four out of five integers $999999999$ .