This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// NOI19 Task 3: Feast
// https://oj.uz/problem/view/NOI19_feast
#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define el cout << '\n'
#define f1(i,n) for(ll i=1;i<=n;i++)
#define __file_name ""
using namespace std;
const ll maxn = 1e6+5, inf=1e18;
ll n,k,a[maxn],b[maxn],L,R,mid;
pair<ll,ll> dp[2][maxn];
pair<ll,ll> check(ll lambda){
// Penalty is lambda per subarray
dp[1][0] = {-inf, 0};
f1(i,n){
dp[0][i] = max(dp[0][i-1], dp[1][i-1]);
dp[1][i] = max(make_pair(dp[1][i-1].first + a[i], dp[1][i-1].second),
make_pair(dp[0][i-1].first + a[i] - lambda, dp[0][i-1].second + 1));
}
return max(dp[0][n], dp[1][n]);
}
int main(){
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
if(fopen(__file_name ".inp", "r")){
freopen(__file_name ".inp","r",stdin);
freopen(__file_name ".out","w",stdout);
}
// code here
cin >> n >> k;
f1(i,n) cin >> a[i];
f1(i,n) b[i] = a[i];
sort(b+1,b+n+1);
// ll ans = 0;
// for(ll i=n;i>=n-k+1;i--) ans += b[i];
L = 0; R = 1e18;
while(L <= R){
mid = (L+R)/2;
if(check(mid).second >= k) L = mid+1;
else R = mid-1;
}
// cout << L << ' ' << R << ' ' << check(L).second;el;
pair<ll,ll> res = check(R);
// cout << res.second;el;
cout << res.first + k * R;
return 0;
}
/*
Code by: Nguyen Viet Trung Nhan
Cau Giay Secondary School
*/
Compilation message (stderr)
feast.cpp: In function 'int main()':
feast.cpp:30:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
30 | freopen(__file_name ".inp","r",stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
feast.cpp:31:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
31 | freopen(__file_name ".out","w",stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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