This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O2")
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 1e5 + 3, K = 201;
int par [K][N], n, k;
ll dp [2][N], ps [N];
void solve (int t, int l, int r, int optl, int optr) {
if (l > r) return;
int m = (l + r) >> 1;
ll bst = -1;
par[t][m] = optl;
for (int i = optl; i <= min(m - 1, optr); ++i) {
ll p = dp[(t & 1) ^ 1][i] + ps[i] * (ps[m] - ps[i]);
if (p > bst) {
bst = p;
par[t][m] = i;
}
}
dp[t & 1][m] = bst;
solve(t, l, m - 1, optl, par[t][m]);
solve(t, m + 1, r, par[t][m], optr);
}
int main ()
{
ios::sync_with_stdio(false); cin.tie(0); cout.tie(0);
cin>> n >> k;
for (int i = 1; i <= n; i++) cin>> ps[i], ps[i] += ps[i - 1];
for (int i = 1; i <= k; i++) solve(i, 1, n, 1, n);
cout<< dp[k & 1][n] << '\n';
int cur = n;
for (int i = k; i > 0; --i) cur = par[i][cur], cout<< cur << ' ';
return 0;
}
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