#include<iostream>
#include<vector>
#include<algorithm>
typedef long long ll;
using namespace std;
ll S[111111];
ll D1[111111];
ll D0[111111];
int bt[202][111111];
int N, K;
inline double g(int k, int a, int b) {
if (S[a] == S[b]) return 0;
if(k == 0) return (double)(D1[b] - D1[a] - S[b] * S[b] + S[a] * S[a]) / (S[a]-S[b]);
return (double)(D0[b] - D0[a] - S[b] * S[b] + S[a] * S[a]) / (S[a]-S[b]);
}
inline ll max(ll a, ll b) {
if (a > b) return a;
return b;
}
int qu[111111];
int main() {
cin.sync_with_stdio(false);
cout.sync_with_stdio(false);
cin >> N >> K;
int i,j, k;
for (i = 1; i <= N; i++) {
cin >> S[i];
S[i] += S[i - 1];
}
for (k = 1; k <= K; k++) {
int s = 1, e = 0, kg = k % 2, a=0,b=0;
double gg=0,gg2=0;
for (i = 1; i <= N; i++) {
for (j = s; j <= e-1; j++) {
a = qu[j], b = qu[j+1];
if(S[a] == S[b])gg=0;
else if(kg == 1) gg=(double)(D0[b] - D0[a] - S[b] * S[b] + S[a] * S[a]) / (S[a]-S[b]);
else if(kg == 0) gg=(double)(D1[b] - D1[a] - S[b] * S[b] + S[a] * S[a]) / (S[a]-S[b]);
if (gg <= S[i]) s++;
else break;
}
j = qu[s];
//D[kg][i] = D[1-kg][j] + S[j] * (S[i] - S[j]);
if(kg == 0) D0[i] = D1[j]+S[j] * (S[i]-S[j]);
else D1[i] = D0[j]+S[j]*(S[i]-S[j]);
bt[k][i] = j;
for (j = e; j > s; j--) {
a = qu[j], b = qu[j-1];
if(S[a] == S[b])gg=0;
else if(kg == 1) gg=(double)(D0[b] - D0[a] - S[b] * S[b] + S[a] * S[a]) / (S[a]-S[b]);
else if(kg == 0) gg=(double)(D1[b] - D1[a] - S[b] * S[b] + S[a] * S[a]) / (S[a]-S[b]);
a = qu[j-1], b = i;
if(a == b)gg2=0;
else if(kg == 1) gg2=(double)(D0[b] - D0[a] - S[b] * S[b] + S[a] * S[a]) / (S[a]-S[b]);
else if(kg == 0) gg2=(double)(D1[b] - D1[a] - S[b] * S[b] + S[a] * S[a]) / (S[a]-S[b]);
if (gg >= gg2) {
e--;
}
else break;
}
qu[++e] = i;
}
}
ll ans = D1[N];
if(K % 2 == 0) ans = D0[N];
cout << ans << endl;
k = K; i = N;
vector<int> btans;
while (bt[k][i] != 0) {
btans.push_back(bt[k][i]);
i = bt[k][i];
k--;
}
sort(btans.begin(), btans.end());
k = btans.size();
for (i = 0; i < k; i++) {
cout << btans[i] << " ";
}
}
