Score : $200$ points
Snuke is having a barbeque party.
At the party, he will make $N$ servings of Skewer Meal.
Example of a serving of Skewer Meal
He has a stock of $2N$ skewers, all of which will be used in Skewer Meal. The length of the $i$-th skewer is $L_i$. Also, he has an infinite supply of ingredients.
To make a serving of Skewer Meal, he picks $2$ skewers and threads ingredients onto those skewers. Let the length of the shorter skewer be $x$, then the serving can hold the maximum of $x$ ingredients.
What is the maximum total number of ingredients that his $N$ servings of Skewer Meal can hold, if he uses the skewers optimally?
The input is given from Standard Input in the following format:
$N$ $L_1$ $L_2$ $...$ $L_{2N}$
Print the maximum total number of ingredients that Snuke's $N$ servings of Skewer Meal can hold.
2 1 3 1 2
3
If he makes a serving using the first and third skewers, and another using the second and fourth skewers, each serving will hold $1$ and $2$ ingredients, for the total of $3$.
5 100 1 2 3 14 15 58 58 58 29
135