Submission #365918

#	Time	Username	Problem	Language	Result	Execution time	Memory
365918		mickeyandkaka	Feast (NOI19_feast)	C++17	100 / 100	170 ms	16384 KiB

feast

//{{{
#include <bits/stdc++.h>
using namespace std;
using LL = long long;
using VLL = vector<LL>;
using vi = vector<int>;
using pii = pair<int, int>;
#define sz(x) (int)((x).size())
#define all(x) (x).begin(), (x).end()
#define clr(a, b) memset(a, b, sizeof(a))
#ifdef LOCAL
#include "prettyprint.hpp"
// clang-format off
void _print() { cerr << "]\033[0m\n"; }
template <typename T> void __print(T x) { cerr << x; }
template <typename T, typename... V> void _print(T t, V... v) { __print(t); if (sizeof...(v)) cerr << ", "; _print(v...); }
#define debug(x...) cerr << "\033[1;34m[" << #x << "] = \033[1;32m["; _print(x)
#define debug_arr(x...) cerr << "\033[1;34m[" << #x << "] = \033[1;32m" << (x) << "\033[0m\n"
#else
#define debug(x...)
#define debug_arr(x...)
#endif
// clang-format on
//}}}

const int N = 3e5 + 10;
// const int N = 10;
int n, k;
int a[N];
LL s[N];

LL dp[N];
LL cnt[N];

LL minf[N];
LL minf_p[N];

int check(LL c)
{
    dp[0] = 0, cnt[0] = 0;
    minf[0] = dp[0] - s[0];
    minf_p[0] = 0;

    for (int i = 1; i <= n; i++)
    {
        dp[i] = dp[i - 1];
        cnt[i] = cnt[i - 1];

        if (minf[i - 1] + s[i] - c > dp[i])
        {
            dp[i] = minf[i - 1] + s[i] - c;
            // debug(i, dp[i]);

            cnt[i] = cnt[minf_p[i - 1]] + 1;
        }

        minf[i] = minf[i - 1];
        minf_p[i] = minf_p[i - 1];

        if (dp[i] - s[i] > minf[i])
        {
            minf[i] = dp[i] - s[i];
            minf_p[i] = i;
        }
    }
    // if (cnt[n] == 0) return k + 1;
    return cnt[n];
}

int main()
{
#ifdef LOCAL
    freopen("in", "r", stdin);
    // freopen("out", "w", stdout);
#endif

    ios::sync_with_stdio(false);
    cin.tie(0);

    while (cin >> n >> k)
    {
        for (int i = 1; i <= n; ++i) cin >> a[i];
        s[0] = 0;
        for (int i = 1; i <= n; ++i) s[i] = s[i - 1] + a[i];

        // double lo = 0, hi = 1e18;
        LL lo = 0, hi = 1e15;
        while (lo + 1 < hi)
        // for (int o = 1; o <= 100; o++)
        {
            LL mid = lo + (hi - lo) / 2;
            // double mid = (lo + hi) / 2.0;
            // debug(lo, hi, mid);
            // cout << lo << " " << hi << " " << mid << " ";

            if (check(mid) <= k) hi = mid;
            else
                lo = mid;
            // cout << cnt[n] << endl;
            // if (hi - lo < 1e-2) break;
            // debug(lo, hi, cnt[n]);
        }
        // debug(lo, hi);

        // debug(hi);

        // for (int p = -100; p <= 100; p++)
        //{
        // check(p);
        // debug(p, cnt[n]);
        //}
        // debug("======");

        // double lo = -2;
        // check(lo);
        // debug_arr(dp);
        // debug_arr(cnt);

        // double hi = -0.9999;
        check(hi);

        // debug_arr(dp);
        // debug_arr(cnt);
        LL ans = dp[n] + hi * cnt[n];
        // debug(ans);
        // ans = max(ans, 0.0);
        // ans = LL(ans);

        cout << ans << endl;
    }

    return 0;
}

• Subtask 1: 4 / 4
• Subtask 2: 8 / 8
• Subtask 3: 18 / 18
• Subtask 4: 10 / 10
• Subtask 5: 11 / 11
• Subtask 6: 20 / 20
• Subtask 7: 29 / 29