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];
}
if(neg == 0) {
cout << pref[n] << '\n';
return 0;
}
if(neg == 1) {
ll ans1=0, ans2=0, N=0;
for(int i=1; i<=n; i++) if(v[i] < 0) N = v[i];
for(int i=1; i<=N; i++) {
if(v[i] < 0) break;
ans1 += v[i];
}
for(int i=N; i>=1; i--) {
if(v[i] < 0) break;
ans2 += v[i];
}
if(K >= 2) cout << pref[n] - N << '\n';
else cout << max({ ans1, ans2, pref[n] }) << '\n';
return 0;
}
if(K == 1) {
ll ans = 0, sum = 0, mn = 0;
for(int i=1; i<=n; i++) {
sum += v[i];
ans = max(ans, sum - mn);
mn = min(mn, sum);
}
cout << ans << '\n';
return 0;
}
ll dp[n+1][K+1], mx[K+1];
memset(dp, 0, sizeof(dp));
memset(mx, 0, sizeof(mx));
for(int i=1; i<=n; i++) {
for(int j=0; j<=K; j++) {
dp[i][j] = dp[i-1][j];
if(j) dp[i][j] = max(dp[i][j], pref[i] + mx[j-1]);
}
for(int j=0; j<=K; j++) mx[j] = max(mx[j], dp[i][j] - pref[i]);
}
cout << dp[n][K] << '\n';
return 0;
}
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