#K52372. Maximum Different Pokémon Species
Maximum Different Pokémon Species
Maximum Different Pokémon Species
Sergey is on a quest to catch as many different Pokémon species as possible. He is given m habitats, with each habitat containing a certain number of different Pokémon species. However, due to time constraints, Sergey can only visit at most n habitats. To maximize the number of different Pokémon species he catches, he should choose the n habitats with the most species. Mathematically, if the number of species in each habitat is represented as \(s_1, s_2, \dots, s_m\), and after sorting in descending order they become \(s_{(1)} \ge s_{(2)} \ge \dots \ge s_{(m)}\), then the maximum species he can catch is given by:
[ \text{Max Species} = \sum_{i=1}^{n} s_{(i)} ]
Your task is to implement a program that reads the input, processes the data, and outputs the maximum number of different Pokémon species Sergey can catch.
inputFormat
The first line of input contains two space-separated integers \(m\) and \(n\), where \(m\) is the number of habitats and \(n\) is the maximum number of habitats Sergey can visit.
The second line contains \(m\) space-separated integers representing the number of different Pokémon species in each habitat.
outputFormat
Output a single integer representing the maximum number of different Pokémon species Sergey can catch by visiting at most \(n\) habitats.
## sample5 3
8 12 7 10 15
37