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>
using namespace std;
#define all(v) v.begin(), v.end()
#define endl '\n'
#define pl(var) " [" << #var << ": " << (var) << "] "
#define ll long long
void solve() {
// dp[i][j] = the max sum that can be obtained if j subsegments are chosen and last subsegment ends at i
// dp[i][j] = dp[0..i][j-1]
int n, k; cin >> n >> k;
vector<ll int> arr(n); for (int i = 0; i < n; i++) {
cin >> arr[i];
}
bool good = 1;
for (int i = 0; i < n; i++) {
if (arr[i] < 0) good = 0;
}
if (good) {
ll int cur = 0;
for (int i = 0; i < n; i++) {
cur += arr[i];
}
cout << cur << endl;
return;
}
vector<vector<ll int>> dp(n + 1, vector<ll int>(k + 1, 0));
ll int ans = 0;
ll int mn = 0;
ll int pref = 0;
for (int i = 0; i < n; i++) {
pref += arr[i];
mn = min(pref, mn);
dp[i][1] = max(pref - mn, pref);
ans = max(ans, dp[i][1]);
if (arr[i] < 0) good = 0;
}
for (int i = 2; i <= k; i++) {
for (int j = i - 1; j < n; j++) {
ll int cur = arr[j];
ll int best = arr[j];
for (int k = j - 1; k >= 0; k--) {
dp[j][i] = max(dp[k][i - 1] + best, dp[j][i]);
cur += arr[k];
best = max(best, cur);
}
ans = max(ans, dp[j][i]);
}
}
cout << ans << endl;
}
int main() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
int T = 1;
// cin >> T;
while (T--)
solve();
}
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