#include <bits/stdc++.h>
#include <fstream>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;
template<class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
struct custom_hash {static uint64_t splitmix64(uint64_t x) {x += 0x9e3779b97f4a7c15;x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;x = (x ^ (x >> 27)) * 0x94d049bb133111eb;return x ^ (x >> 31);}size_t operator()(uint64_t x) const {static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();return splitmix64(x + FIXED_RANDOM);}};
// string __fname = ""; ifstream in (__fname + ".in"); ofstream out (__fname + ".out");
// #define cin in
// #define cout out
#define int64 long long
#define uint64 unsigned long long
#define x first
#define y second
#define pb push_back
#define pii pair <int, int>
#define pii64 pair <int64, int64>
#define db(x) cout << "> " << #x << ": " << (x) << "\n"
#define qr queries()
#define yn(x) if (x) {ctn("Yes");}else {ctn("No");}
void solve(int);
void queries(){int n;cin >> n;for (int i = 1; i <= n; i++) solve(i);}
template<class T>T ceildiv(T a, T b) {return a / b + !!(a % b);}
template<class T>T gcd (T a, T b){return (b ? gcd(b, a % b): a);}
template<class T>T lcm (T a, T b){return a * b / gcd(a, b);}
// // // // // // // // // // // // // // // // // // // // // //
/* TEMPLATE - VANILLA */
// // // // // // // // // // // // // // // // // // // // // //
const int ddx[] = {-1, -1, 0, 1, 1, 1, 0, -1};
const int ddy[] = {0, 1, 1, 1, 0, -1, -1, -1};
const int dx[] = {-1, 0, 1, 0};
const int dy[] = {0, 1, 0, -1};
const double pi = 3.14159265359;
const double eps = 1e-6;
const int64 hash_inv = 940594066;
const int64 hash_p = 101;
const int64 mod = 1e9 + 7;
const int maxn = 1e4 + 2;
const int maxk = 205;
int64 dp[maxn][2]; // dp[i][j] -> scor maxim folosind primele i elemente repartizate folosind j splits si ultimul split fiind la elementul i
int64 pref [maxn];
int dad[maxn][maxk];
void solve(int id){
return;
}
struct line {
int64 m;
int64 b; // m * x + b;
int64 idx;
int64 calc (int64 x) {
return m * x + b;
}
};
struct lichao {
int64 l,r;
line v;
lichao* left = NULL;
lichao* right = NULL;
lichao(int _l, int _r, line _v): l(_l), r(_r), v(_v) {};
};
lichao* lc[maxk];
inline void extend (lichao* t) {
if (t->left != NULL) return;
int64 mid = (t->l + t->r) / 2;
t->left = new lichao(t->l, mid, {0, (int64) -1e18});
t->right = new lichao(mid + 1, t->r, {0, (int64) -1e18});
}
inline void update (lichao* t, line ln) {
if (t->l + 1 >= t->r) {
if (ln.calc(t->l) > t->v.calc(t->l)) t->v = ln;
return;
}
extend(t);
int64 mid = (t->l + t->r) / 2;
if (ln.m < t->v.m) swap(ln, t->v);
if (ln.calc(mid) > t->v.calc(mid)) {
swap(ln, t->v);
update(t->left, ln);
}
else update(t->right, ln);
}
inline pii64 query (lichao*t, int64 x) {
if (t->l + 1 >= t->r) return make_pair(t->v.calc(x), t->v.idx);
if (t->l > x || t->r < x) return make_pair(-1e18, 0);
extend(t);
return max({query(t->left, x), query(t->right, x), make_pair(t->v.calc(x), t->v.idx)});
}
inline void clear (lichao* t) {
if (t->left) clear(t->left);
if (t->right) clear(t->right);
delete t;
}
int64 calc (int64 i1, int64 i2, int64 i3) { // [i1;i3] -> [i1; i2 - 1] + [i2; i3]
return (pref[i3] - pref[i2 - 1]) * (pref[i2 - 1] - pref[i1 - 1]);
}
int main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout << fixed; cout << setprecision(10);
int n,k;
cin >> n >> k;
for (int i = 1; i <= n; i++){
int x;
cin >> x;
pref[i] = pref[i-1] + x;
}
if (n == 1) {
cout << "0\n";
return 0;
}
lc[0] = new lichao (0, (int) 1e9, {0, 0});
for (int t = 1; t <= k; t++){
lc[t] = new lichao (0, (int) 1e9, {0, (int64) -1e15});
for (int i = 1; i < n; i++){
// (pref[n] - pref[i]) * (pref[i] - pref[j - 1]) + dp[j-1][t-1]
// (p[i] * p[j-1] + (dp[j-1][t-1] - p[n] * p[j-1])) + p[i] * (p[n] - p[i])
// x a b const
auto [v, idx] = query(lc[t-1], pref[i]);
dp[i][t % 2] = v + pref[i] * (pref[n] - pref[i]);
dad[i][t] = idx;
update(lc[t-1], {pref[i], dp[i][(t-1) % 2] - pref[n] * pref[i], i});
}
clear(lc[t-1]);
}
int64 mx = -1e18, mxi = 0;
for (int i = 1; i <= n; i++){
if (dp[i][k % 2] > mx) {
mx = dp[i][k % 2];
mxi = i;
}
}
vector <int> v;
v.push_back(mxi);
while ((mxi = dad[mxi][k--]) > 0) {
v.push_back(mxi);
}
cout << mx << "\n";
reverse(v.begin(), v.end());
for (int i: v) {
cout << i << " ";
}
return 0;
}
