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