This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*
`-:://:::-
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.:ooo+++++osso-` `.:-...`/` ./::-------:/:` -` :+--..``````.--:+:...-+:-`
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`.:+oooo+/-.`
``````
*/
// #pragma GCC optimize("Ofast,no-stack-protector")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
// #pragma GCC optimize("unroll-loops")
// #pragma GCC optimize("fast-math")
// #pragma GCC optimize("section-anchors")
// #pragma GCC optimize("profile-values,profile-reorder-functions,tracer")
// #pragma GCC optimize("vpt")
// #pragma GCC optimize("rename-registers")
// #pragma GCC optimize("move-loop-invariants")
// #pragma GCC optimize("unswitch-loops")
// #pragma GCC optimize("function-sections")
// #pragma GCC optimize("data-sections")
// #pragma GCC optimize("branch-target-load-optimize")
// #pragma GCC optimize("branch-target-load-optimize2")
// #pragma GCC optimize("btr-bb-exclusive")
// #pragma comment(linker, "/STACK:367077216")
#include <iostream>
#include <iostream>
#include <vector>
#include <algorithm>
#include <iomanip>
#include <tuple>
#include <math.h>
#include <set>
#include <stack>
#include <bitset>
#include <map>
#include <queue>
#include <random>
#include <unordered_set>
#include <unordered_map>
#define DEBUG
#define fi first
#define se second
#define pqueue priority_queue
#define pb(x) push_back(x)
//#define endl '\n'
#define all(x) x.begin(), x.end()
// #define int long long
#define mk(a, b) make_pair(a, b)
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef vector<int> vi;
typedef vector<vector<int> > vvi;
typedef vector<ull> vull;
typedef vector<ll> vll;
// typedef tuple<ll, ll, ll> tiii;
typedef pair<int, int> pii;
typedef vector<pair<int, int> > vpii;
typedef vector<bool> vb;
typedef vector<string> vs;
typedef vector< vector<ll> > vvll;
typedef vector<char> vc;
const int inf = 1e9 + 228;
const ll infll = 1e18;
const ll MOD = 1e9 + 7;
//static const int maxn = 1e6 + 228;
const ld eps = 1e-6;
const ld eps2 = 1e-9;
const ll MOD2 = 998244353;
const ll dosz = 5e5;
const ll SZ = (1<<18);
const ld PI = atan2l(0, -1);
void fast_io(){
ios_base::sync_with_stdio(0);
cin.tie(0);
// freopen("a.in", "r", stdin);
// freopen("logs.out", "w", stdout);
}
const int maxn = 1e5 + 228;
ll pref[maxn];
int p[maxn][201];
ll sum(int l, int r){
return pref[r]-pref[l-1];
}
void solve(){
int n, k;
cin >> n >> k;
vll dp1(n+1, 0);
vll dp2(n+1, 0);
for(int i=1; i<=n; i++){
cin >> pref[i];
pref[i] += pref[i-1];
}
for(int i=0; i<maxn; i++)
for(int j=0; j<201; j++)
p[i][j] = -1;
for(int j=1; j<=k; j++){
for(int i=1; i<n; i++){
int l = 0, r = i;
if(r-l>10){
int ans = l;
while(l<=r){
int m1 = (l+r)/2;
int m2 = m1+1;
ll ans1 = dp1[m1] + sum(m1+1, i)*1ll*sum(i+1, n);
ll ans2 = dp1[m2] + sum(m2+1, i)*1ll*sum(i+1, n);
if(ans1<=ans2){
ans = m1;
l = m1+1;
}
else{
r = m1-1;
}
}
for(int d=max(ans-20, 1); d<=min(ans+20, i-1); d++){
ll ans1 = dp1[d] + sum(d+1, i)*1ll*sum(i+1, n);
if(ans1>=dp2[i]){
dp2[i] = ans1;
p[i][j] = d;
}
}
} else{
for(int d=l; d<=r; d++){
ll ans1 = dp1[d] + sum(d+1, i)*1ll*sum(i+1, n);
if(ans1>=dp2[i]){
dp2[i] = ans1;
p[i][j] = d;
}
}
}
}
dp1 = dp2;
for(ll &i:dp2)
i = 0;
}
int mx = k;
for(int i=k; i<n; i++){
if(dp1[mx]<dp1[i])
mx = i;
}
vi ans;
int cur = mx;
int cnt = k;
while(cnt){
ans.pb(cur);
cur = p[cur][cnt];
cnt--;
}
cout << dp1[mx] << endl;
reverse(all(ans));
for(int i:ans)
cout << i << " ";
}
signed main(){
fast_io();
// srand(time(NULL));
// cout << fixed << setprecision(12);
int q = 1;
// cin >> q;
while(q--)
solve();
}
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