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Submission #366813

# Submission time Handle Problem Language Result Execution time Memory
366813 2021-02-15T10:21:42 Z mickeyandkaka Feast (NOI19_feast) C++17
4 / 100
 109 ms 14828 KB 
//{{{
#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;
LL 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;
        }

        else if (minf[i - 1] + s[i] - c == dp[i])
        {
            if (cnt[i] < cnt[minf_p[i - 1]] + 1)
            {
                dp[i] = minf[i - 1] + s[i] - c;
                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];
}

// const int NN = 1e3 + 10;
// LL dp2[NN][NN];

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];

        // clr(dp2, 0x80);

        // dp2[0][0] = 0;
        // for (int i = 1; i <= n; i++)
        //{
        // dp2[i][0] = 0;
        // for (int j = 1; j <= i; j++)
        //{
        // dp2[i][j] = dp2[i - 1][j];
        // for (int p = 0; p < i; p++)
        //{
        // dp2[i][j] = max(dp2[i][j], dp2[p][j - 1] + s[i] - s[p]);
        //}
        //}
        //}

        // for (int p = 1; p <= n; ++p)
        //{
        // debug(p, dp2[n][p]);
        //}

        // for (int kk = max(1, k - 15); kk <= min(1000, k + 15); kk++)
        //{
        // debug(kk, dp2[n][kk], dp2[n][kk] - dp2[n][kk - 1]);
        //// cout << kk << "," << dp2[n][kk] << endl;
        //}

        // for (int i = -10; i <= 1; i++)
        //{
        // int v = check(i);
        // debug(i, v, cnt[n], dp[n]);
        //}

        LL ans = LLONG_MIN;

        LL lo = 0, hi = 1e15;
        while (lo <= hi)
        {
            // debug(lo, hi);
            LL mid = lo + (hi - lo) / 2;

            if (check(mid) >= k)
            {
                debug(mid, dp[n] + mid * k);
                ans = max(ans, dp[n] + mid * k);
                lo = mid + 1;
            }
            else
            {
                hi = mid - 1;
            }
        }

        if (ans == LLONG_MIN)
        {
            check(0);
            ans = dp[n];
        }

        // LL c = lo;
        // if (check(hi) >= k) c = hi;
        // debug(lo, hi, c);

        // int v = check(c);

        // debug(c, v);
        // debug(cnt[n], k, dp[n]);

        // LL ans2 = ans;
        // v = check(0);
        // if (cnt[n] <= k && dp[n] > ans) ans2 = dp[n];
        // debug(cnt[n], dp[n], ans);
        // ans = max(ans, ans2);

        cout << ans << endl;
    }

    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 100 ms 14188 KB Output is correct
2 Correct 107 ms 14572 KB Output is correct
3 Correct 101 ms 14828 KB Output is correct
4 Correct 100 ms 14700 KB Output is correct
5 Correct 100 ms 14572 KB Output is correct
6 Correct 100 ms 14316 KB Output is correct
7 Correct 97 ms 14316 KB Output is correct
8 Correct 101 ms 14572 KB Output is correct
9 Correct 99 ms 14444 KB Output is correct
10 Correct 100 ms 14572 KB Output is correct

Subtask #2
0 / 8.0

# Verdict Execution time Memory Grader output
1 Incorrect 77 ms 14188 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #3
0 / 18.0

# Verdict Execution time Memory Grader output
1 Incorrect 109 ms 14444 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 364 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 11.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 364 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 20.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 364 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #7
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 100 ms 14188 KB Output is correct
2 Correct 107 ms 14572 KB Output is correct
3 Correct 101 ms 14828 KB Output is correct
4 Correct 100 ms 14700 KB Output is correct
5 Correct 100 ms 14572 KB Output is correct
6 Correct 100 ms 14316 KB Output is correct
7 Correct 97 ms 14316 KB Output is correct
8 Correct 101 ms 14572 KB Output is correct
9 Correct 99 ms 14444 KB Output is correct
10 Correct 100 ms 14572 KB Output is correct
11 Incorrect 77 ms 14188 KB Output isn't correct
12 Halted 0 ms 0 KB -