#D12229. Array Splitting
Array Splitting
Array Splitting
You are given a sorted array a_1, a_2, ..., a_n (for each index i > 1 condition a_i ≥ a_{i-1} holds) and an integer k.
You are asked to divide this array into k non-empty consecutive subarrays. Every element in the array should be included in exactly one subarray.
Let max(i) be equal to the maximum in the i-th subarray, and min(i) be equal to the minimum in the i-th subarray. The cost of division is equal to ∑_{i=1}^{k} (max(i) - min(i)). For example, if a = [2, 4, 5, 5, 8, 11, 19] and we divide it into 3 subarrays in the following way: [2, 4], [5, 5], [8, 11, 19], then the cost of division is equal to (4 - 2) + (5 - 5) + (19 - 8) = 13.
Calculate the minimum cost you can obtain by dividing the array a into k non-empty consecutive subarrays.
Input
The first line contains two integers n and k (1 ≤ k ≤ n ≤ 3 ⋅ 10^5).
The second line contains n integers a_1, a_2, ..., a_n ( 1 ≤ a_i ≤ 10^9, a_i ≥ a_{i-1}).
Output
Print the minimum cost you can obtain by dividing the array a into k nonempty consecutive subarrays.
Examples
Input
6 3 4 8 15 16 23 42
Output
12
Input
4 4 1 3 3 7
Output
0
Input
8 1 1 1 2 3 5 8 13 21
Output
20
Note
In the first test we can divide array a in the following way: [4, 8, 15, 16], [23], [42].
inputFormat
Input
The first line contains two integers n and k (1 ≤ k ≤ n ≤ 3 ⋅ 10^5).
The second line contains n integers a_1, a_2, ..., a_n ( 1 ≤ a_i ≤ 10^9, a_i ≥ a_{i-1}).
outputFormat
Output
Print the minimum cost you can obtain by dividing the array a into k nonempty consecutive subarrays.
Examples
Input
6 3 4 8 15 16 23 42
Output
12
Input
4 4 1 3 3 7
Output
0
Input
8 1 1 1 2 3 5 8 13 21
Output
20
Note
In the first test we can divide array a in the following way: [4, 8, 15, 16], [23], [42].
样例
4 4
1 3 3 7
0