#ifdef LOCAL111
#else
	#define NDEBUG
#endif
#include <bits/stdc++.h>
const int INF = 1e9;
using namespace std;
template<typename T, typename U> ostream& operator<< (ostream& os, const pair<T,U>& p) { cout << '(' << p.first << ' ' << p.second << ')'; return os; }

#define endl '\n'
#define ALL(a)  (a).begin(),(a).end()
#define SZ(a) int((a).size())
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define RFOR(i,a,b) for (int i=(b)-1;i>=(a);i--)
#define REP(i,n)  FOR(i,0,n)
#define RREP(i,n) for (int i=(n)-1;i>=0;i--)
#define RBP(i,a) for(auto& i : a)
#ifdef LOCAL111
	#define DEBUG(x) cout<<#x<<": "<<(x)<<endl
	template<typename T> void dpite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;}
#else
	#define DEBUG(x) true
	template<typename T> void dpite(T a, T b){ return; }
#endif
#define F first
#define S second
#define SNP string::npos
#define WRC(hoge) cout << "Case #" << (hoge)+1 << ": "
#define rangej(a,b,c) ((a) <= (c) and (c) < (b))
#define rrangej(b,c) rangej(0,b,c)
template<typename T> void pite(T a, T b){ for(T ite = a; ite != b; ite++) cout << (ite == a ? "" : " ") << *ite; cout << endl;}
template<typename T> bool chmax(T& a, T b){if(a < b){a = b; return true;} return false;}
template<typename T> bool chmin(T& a, T b){if(a > b){a = b; return true;} return false;}

typedef long long int LL;
typedef unsigned long long ULL;
typedef pair<int,int> P;
typedef pair<LL,LL> LP;

void ios_init(){
	//cout.setf(ios::fixed);
	//cout.precision(12);
#ifdef LOCAL111
	return;
#endif
	ios::sync_with_stdio(false); cin.tie(0);	
}

typedef vector<int> vi;

int main()
{
	ios_init();
	int n,m;
	while(cin >> n >> m){
		vector<int> w(n);
		REP(i,n) cin >> w[i];
		if(n == m){
			cout << accumulate(ALL(w),0LL) << endl;
		}
		int mi = w[0]+w[1];
		int cu = 0;
		REP(i,n){
			if(mi > w[i]+w[(i+1)%n]){
				mi = w[i];
				cu = i;
			}
		}
		vector<vector<vi>> dp(n-1,vector<vi>(m+1,vi(2,-INF)));
		dp[0][0][0] = dp[0][1][1] = 0;
		REP(i,n-2){
			dp[i+1][0][0] = 0;
			REP(j,m){
				// DEBUG((cu+2+i)%n);
				dp[i+1][j+1][0] = max(dp[i][j+1][0],dp[i][j+1][1]);
				dp[i+1][j+1][1] = max(dp[i][j][0],dp[i][j][1]+w[(cu+2+i)%n]);
			}
		}
		cout << max(dp[n-2][m][0],dp[n-2][m][1]) << endl;
	}
	return 0;
}