이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using namespace std;
void main_program();
signed main(){
ios_base::sync_with_stdio(0); cin.tie(0);
main_program();
}
#define int long long
using ii = pair<int, int>;
int n, k;
vector<int> v, pfx;
ii better(ii a, ii b){
if (a.first != b.first){
return (a.first > b.first) ? a : b;
}
return (a.second < b.second) ? a : b;
}
ii f(int lambda){
vector<ii> dp_closed(n), dp_open(n);
dp_closed[0] = {0, 0};
dp_open[0] = {-pfx[0], 0};
for (int i = 1; i < n; i++){
dp_closed[i] = better(dp_closed[i-1],
{dp_open[i-1].first + pfx[i] - lambda, dp_open[i-1].second + 1});
dp_open[i] = better(dp_open[i-1],
{dp_closed[i-1].first - pfx[i], dp_closed[i-1].second});
}
return dp_closed[n-1];
}
void main_program(){
cin >> n >> k;
v.resize(n);
for (int i = 0; i < n; i++) cin >> v[i];
pfx = v;
for (int i = 1; i < n; i++) pfx[i] += pfx[i-1];
int l = 0, r = 1e12;
while (l < r){
int mid = (l + r) >> 1;
auto res = f(mid);
if (res.second <= k) r = mid;
else l = mid + 1;
}
auto res = f(l);
cout << res.first + l * res.second << "\n";
}
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