제출 #1323528

#제출 시각아이디문제언어결과실행 시간메모리
1323528limitsFeast (NOI19_feast)C++20
12 / 100
384 ms13340 KiB
#pragma GCC optimize("Ofast")
#pragma GCC optimize("O3,unroll-loops")

#include <bits/stdc++.h>

using namespace std;

#define f0r(i, n) for (auto i = 0; i < (n); ++i)
#define fnr(i, n, k) for (auto i = (n); i < (k); ++i)
#define all(v) (v).begin(), (v).end()
#define pb push_back
#define F first
#define S second
#define ctn(x) cout << x << '\n'
#define forl(a, l) for (auto a : l)
#define ctl(l) for (auto &a : (l)) cout << a << ' '; cout << endl;
#define lb(v, x) (lower_bound(all(v), x) - begin(v))
#define ub(v, x) (upper_bound(all(v), x) - begin(v))
#define pq priority_queue

template <class T>
using V = vector<T>;
using ll = long long;
using vi = V<int>;
using vl = V<ll>;
using pi = pair<int, int>;
using ti = tuple<int, int, int>;
using Adj = V<vi>;
using vvi = V<vi>;

using db = long double;


int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	cout.tie(NULL);

	int K, N;
	cin >> N >> K;
	vi A(N);
	vl pf(N+1);
	f0r(i, N) {
		cin >> A[i];
		pf[i+1] = pf[i] + A[i];
	}

	db lo = 0, hi = 1e9;
	V<pair<db, int>> dp(N+1);
	db ans = 0;
	f0r(_, 100) {
		db m = (lo+hi)/2; // lambda
		dp.assign(N+1, {0, 0});
		pair<db, int> mx{0, 0};
		fnr(i, 1, N+1) {
			dp[i] = max(dp[i-1], { mx.F+pf[i] - m, mx.S+1 });
			mx = max(mx, {dp[i].F - pf[i], dp[i].S});
		}
		if (dp[N].S <= K) { // reduce lambda
			hi = m;
			ans = max(ans, (dp[N].F + dp[N].S * m));
		} else lo = m;
	}
	ctn((ll)ans);
}
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