Submission #1206660

#TimeUsernameProblemLanguageResultExecution timeMemory
1206660Trn115Feast (NOI19_feast)C++20
100 / 100
697 ms23912 KiB
#include <bits/stdc++.h>

#define int long long
#define fi first
#define se second
#define all(v) v.begin(), v.end()

using namespace std;
using pii = pair<int, int>;

constexpr int inf = 1e18;

int n, k;
vector<int> a;

pii f(int lambda) {
    vector<vector<pii>> dp(n + 1, vector<pii>(2, {-inf, -inf})); // sum, nos
    dp[0][0] = {0, 0};
    for (int i = 1; i <= n; ++i) {
        dp[i][0] = max(dp[i - 1][0], dp[i - 1][1]);
        dp[i][1] = max(
            make_pair(dp[i - 1][0].fi + a[i] - lambda, dp[i - 1][0].se + 1),
            make_pair(dp[i - 1][1].fi + a[i], dp[i - 1][1].se)
        );
    }
    return max(dp[n][0], dp[n][1]);
}

signed main() {
    cin.tie(0)->sync_with_stdio(0);

    cin >> n >> k;
    a.resize(n + 1);
    for (int i = 1; i <= n; ++i) cin >> a[i];

    int l = 0, r = 1e14, bres = -1;
    while (l <= r) {
        int mid = (l + r) / 2;
        pii res = f(mid);
        if (res.se <= k) {
            bres = mid;
            r = mid - 1;
        } else {
            l = mid + 1;
        }
    }
    pii res = f(bres);
    cout << res.fi + bres * k << '\n';
}
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