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Submission #366815

# Submission time Handle Problem Language Result Execution time Memory
366815 2021-02-15T10:26:33 Z mickeyandkaka Feast (NOI19_feast) C++17
100 / 100
 170 ms 17244 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 lo = 0, hi = 1e15;
        bool fd = false;
        while (lo + 1 < hi)
        {
            LL mid = lo + (hi - lo) / 2;

            if (check(mid) >= k)
            {
                lo = mid;
                fd = true;
            }
            else
            {
                hi = mid;
            }
        }

        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 ans = dp[n] + c * k;

        if (!fd)
        {
            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;
}

Compilation message

feast.cpp: In function 'int main()':
feast.cpp:152:13: warning: variable 'v' set but not used [-Wunused-but-set-variable]
  152 |         int v = check(c);
      |             ^

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 102 ms 14060 KB Output is correct
2 Correct 106 ms 14316 KB Output is correct
3 Correct 112 ms 14444 KB Output is correct
4 Correct 109 ms 14316 KB Output is correct
5 Correct 104 ms 14316 KB Output is correct
6 Correct 120 ms 14060 KB Output is correct
7 Correct 101 ms 14080 KB Output is correct
8 Correct 106 ms 14348 KB Output is correct
9 Correct 102 ms 14188 KB Output is correct
10 Correct 104 ms 14324 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 97 ms 14060 KB Output is correct
2 Correct 93 ms 15596 KB Output is correct
3 Correct 75 ms 15212 KB Output is correct
4 Correct 87 ms 15468 KB Output is correct
5 Correct 89 ms 15980 KB Output is correct
6 Correct 77 ms 15212 KB Output is correct
7 Correct 92 ms 15596 KB Output is correct
8 Correct 89 ms 16236 KB Output is correct
9 Correct 89 ms 16068 KB Output is correct
10 Correct 89 ms 15468 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 110 ms 14316 KB Output is correct
2 Correct 110 ms 16748 KB Output is correct
3 Correct 111 ms 16748 KB Output is correct
4 Correct 109 ms 16876 KB Output is correct
5 Correct 111 ms 17004 KB Output is correct
6 Correct 112 ms 17004 KB Output is correct
7 Correct 112 ms 17132 KB Output is correct
8 Correct 107 ms 16876 KB Output is correct
9 Correct 113 ms 17004 KB Output is correct
10 Correct 114 ms 17244 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 492 KB Output is correct
22 Correct 1 ms 492 KB Output is correct
23 Correct 1 ms 492 KB Output is correct
24 Correct 1 ms 492 KB Output is correct
25 Correct 1 ms 492 KB Output is correct
26 Correct 1 ms 492 KB Output is correct
27 Correct 1 ms 492 KB Output is correct
28 Correct 1 ms 492 KB Output is correct
29 Correct 1 ms 492 KB Output is correct
30 Correct 1 ms 492 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 102 ms 14060 KB Output is correct
2 Correct 106 ms 14316 KB Output is correct
3 Correct 112 ms 14444 KB Output is correct
4 Correct 109 ms 14316 KB Output is correct
5 Correct 104 ms 14316 KB Output is correct
6 Correct 120 ms 14060 KB Output is correct
7 Correct 101 ms 14080 KB Output is correct
8 Correct 106 ms 14348 KB Output is correct
9 Correct 102 ms 14188 KB Output is correct
10 Correct 104 ms 14324 KB Output is correct
11 Correct 97 ms 14060 KB Output is correct
12 Correct 93 ms 15596 KB Output is correct
13 Correct 75 ms 15212 KB Output is correct
14 Correct 87 ms 15468 KB Output is correct
15 Correct 89 ms 15980 KB Output is correct
16 Correct 77 ms 15212 KB Output is correct
17 Correct 92 ms 15596 KB Output is correct
18 Correct 89 ms 16236 KB Output is correct
19 Correct 89 ms 16068 KB Output is correct
20 Correct 89 ms 15468 KB Output is correct
21 Correct 110 ms 14316 KB Output is correct
22 Correct 110 ms 16748 KB Output is correct
23 Correct 111 ms 16748 KB Output is correct
24 Correct 109 ms 16876 KB Output is correct
25 Correct 111 ms 17004 KB Output is correct
26 Correct 112 ms 17004 KB Output is correct
27 Correct 112 ms 17132 KB Output is correct
28 Correct 107 ms 16876 KB Output is correct
29 Correct 113 ms 17004 KB Output is correct
30 Correct 114 ms 17244 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 364 KB Output is correct
37 Correct 1 ms 364 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 1 ms 364 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 1 ms 364 KB Output is correct
42 Correct 1 ms 364 KB Output is correct
43 Correct 1 ms 364 KB Output is correct
44 Correct 1 ms 364 KB Output is correct
45 Correct 1 ms 364 KB Output is correct
46 Correct 1 ms 364 KB Output is correct
47 Correct 1 ms 364 KB Output is correct
48 Correct 1 ms 364 KB Output is correct
49 Correct 1 ms 364 KB Output is correct
50 Correct 1 ms 364 KB Output is correct
51 Correct 1 ms 492 KB Output is correct
52 Correct 1 ms 492 KB Output is correct
53 Correct 1 ms 492 KB Output is correct
54 Correct 1 ms 492 KB Output is correct
55 Correct 1 ms 492 KB Output is correct
56 Correct 1 ms 492 KB Output is correct
57 Correct 1 ms 492 KB Output is correct
58 Correct 1 ms 492 KB Output is correct
59 Correct 1 ms 492 KB Output is correct
60 Correct 1 ms 492 KB Output is correct
61 Correct 158 ms 15980 KB Output is correct
62 Correct 167 ms 16364 KB Output is correct
63 Correct 128 ms 16112 KB Output is correct
64 Correct 160 ms 16280 KB Output is correct
65 Correct 170 ms 16364 KB Output is correct
66 Correct 154 ms 16236 KB Output is correct
67 Correct 155 ms 15980 KB Output is correct
68 Correct 122 ms 16236 KB Output is correct
69 Correct 109 ms 15980 KB Output is correct
70 Correct 107 ms 15852 KB Output is correct