Submission #1368576

#TimeUsernameProblemLanguageResultExecution timeMemory
136857612345678Feast (NOI19_feast)C++17
100 / 100
89 ms9804 KiB
#include <bits/stdc++.h>

using namespace std;

#define ll long long

const ll nx=3e5+5, inf=1e18;

ll n, k, a[nx], qs[nx];

pair<ll, ll> solve(ll lambda)
{
    pair<ll, ll> mx;
    vector<pair<ll, ll>> dp(n+1, {-inf, 0});
    dp[0]={0, 0};
    for (int i=1; i<=n; i++)
    {
        mx=max(mx, {dp[i-1].first-qs[i], dp[i-1].second});
        dp[i]=max(dp[i-1], {mx.first+qs[i]-lambda, mx.second+1});
    }
    return dp[n];
}

int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin>>n>>k;
    for (int i=1; i<=n; i++) cin>>a[i], qs[i]=qs[i-1]+a[i];
    ll l=0, r=3e14;
    while (l<r)
    {
        ll md=(l+r+1)/2;
        if (solve(md).second>=k) l=md;
        else r=md-1;
    }
    cout<<solve(l).first+l*k;
}
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