This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define int long long
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
const int mod = 1e9 + 7;
const int LOG = 20;
const int maxn = 1e5 + 5;
const double eps = 1e-9;
int32_t main() {
int n, K, neg = 0;
cin >> n >> K;
vector<int> v(n+1);
vector<ll> pref(n+1);
for(int i=1; i<=n; i++) {
cin >> v[i];
neg += (v[i] < 0);
pref[i] = pref[i-1] + v[i];
}
ll l=-1e15, r=1e15, ans=0;
while(l <= r) {
ll mid = (l + r) / 2;
vector<ll> dp(n+1, 0), cnt(n+1, 1e9);
cnt[0] = 0;
for(int i=1; i<=n; i++) {
dp[i] = dp[i-1];
cnt[i] = cnt[i-1];
for(int j=1; j<=i; j++) {
if(dp[i] < dp[j-1] + pref[i] - pref[j-1] - mid) {
dp[i] = dp[j-1] + pref[i] - pref[j-1] - mid;
cnt[i] = cnt[j-1] + 1;
} else if(dp[i] == dp[j-1] + pref[i] - pref[j-1] - mid) {
cnt[i] = min(cnt[i], cnt[j-1] + 1);
}
}
}
if(cnt[n] >= K) {
ans = dp[n] + cnt[n] * mid;
l = mid + 1;
} else r = mid - 1;
}
cout << max(0ll, ans) << '\n';
return 0;
}
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