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Submission #1106206

# Submission time Handle Problem Language Result Execution time Memory
1106206 2024-10-29T14:05:32 Z manhlinh1501 Feast (NOI19_feast) C++17
100 / 100
 138 ms 14560 KB 
#include<bits/stdc++.h>
using namespace std;
using i64 = long long;

template<class X, class Y>
bool minimize(X &x, const Y &y) {
    if (x > y) {
        x = y;
        return true;
    }
    return false;
}
template<class X, class Y>
bool maximize(X &x, const Y &y) {
    if (x < y) {
        x = y;
        return true;
    }
    return false;
}
using pli = pair<i64, int>;
const int MAXN = 3e5 + 5;
const int oo32 = 1e9 + 5;
const i64 oo64 = 1e18 + 5;

int N, K;
i64 a[MAXN];

namespace subtask1 {
    bool is_subtask() {
        for(int i = 1; i <= N; i++) {
            if(a[i] < 0) return false;
        }
        return true;
    }
    void solution() {
        if(is_subtask() == false) return;
        i64 ans = accumulate(a + 1, a + N + 1, 0LL);
        cout << ans;
        exit(0);
    }
}

namespace subtask2 {
    bool is_subtask() {
        int c = 0;
        for(int i = 1; i <= N; i++)
            c += (a[i] < 0);
        return c <= 1;
    }

    void solution() {
        if(is_subtask() == false) return;
        i64 tot = accumulate(a + 1, a + N + 1, 0LL);
        i64 ans = tot;
        for(int i = 1; i <= N; i++) ans = max(ans, tot - a[i]);
        cout << ans;
        exit(0);
    }
}

namespace subtask3 {
    bool is_subtask() {
        return K == 1;
    }
    i64 dp[MAXN];

    void solution() {
        if(is_subtask() == false) return;
        for(int i = 1; i <= N; i++) dp[i] = max(dp[i - 1], 0LL) + a[i];
        cout << *max_element(dp + 1, dp + N + 1);
        exit(0);
    }
}

namespace subtask {
    void solution() {
        for(int i = 1; i <= N; i++) a[i] += a[i - 1];
        vector<vector<i64>> dp(N + 1, vector<i64>(K + 1, -oo64));
        vector<i64> maxx(N + 1, 0);
        dp[0][0] = 0;
        for(int i = 1; i <= N; i++) maxx[i] = max(maxx[i - 1], -a[i]);
        for(int j = 1; j <= K; j++) {
            for(int i = 1; i <= N; i++)
                maximize(dp[i][j], maxx[i - 1] + a[i]);
            for(int i = 1; i <= N; i++) maxx[i] = max(maxx[i - 1], dp[i][j]);
            for(int i = 1; i <= N; i++) maxx[i] = max(maxx[i - 1], maxx[i] - a[i]);
        }
        i64 ans = 0;
        for(int i = 1; i <= N; i++) {
            for(int j = 1; j <= K; j++)
                maximize(ans, dp[i][j]);
        }
        cout << ans;
    }
}

namespace solver {
    pli dp[MAXN][2];

    void calc(i64 mid) {
        for(int i = 0; i <= N; i++) dp[i][0] = dp[i][1] = pli(-oo64, -oo64);
        dp[0][0] = pli(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].first + a[i] - mid, dp[i - 1][0].second + 1),
                           make_pair(dp[i - 1][1].first + a[i], dp[i - 1][1].second));
        }
    }

    void solution() {
        i64 low = 0, high = oo64;
        i64 ans = 0;
        while(low <= high) {
            i64 mid = (low + high) / 2;
            calc(mid);
            if(max(dp[N][0], dp[N][1]).second >= K) {
                ans = mid;
                low = mid + 1;
            } else high = mid - 1;
        }
        calc(ans);
        cout << max(dp[N][0], dp[N][1]).first + K * ans;
    }
}

signed main() {
#define task "code"
    if(fopen(task".inp", "r")) {
        freopen(task".inp", "r", stdin);
        freopen(task".out", "w", stdout);
    }
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    cin >> N >> K;
    for(int i = 1; i <= N; i++) cin >> a[i];
    subtask1::solution();
    subtask3::solution();
    subtask2::solution();
    solver::solution();
    return (0 ^ 0);
}

Compilation message

feast.cpp: In function 'int main()':
feast.cpp:130:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  130 |         freopen(task".inp", "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
feast.cpp:131:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  131 |         freopen(task".out", "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 3812 KB Output is correct
2 Correct 20 ms 3920 KB Output is correct
3 Correct 20 ms 3920 KB Output is correct
4 Correct 26 ms 4052 KB Output is correct
5 Correct 21 ms 3920 KB Output is correct
6 Correct 20 ms 3828 KB Output is correct
7 Correct 20 ms 3920 KB Output is correct
8 Correct 20 ms 3904 KB Output is correct
9 Correct 20 ms 3920 KB Output is correct
10 Correct 20 ms 3920 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 5104 KB Output is correct
2 Correct 15 ms 4944 KB Output is correct
3 Correct 15 ms 4944 KB Output is correct
4 Correct 15 ms 3964 KB Output is correct
5 Correct 26 ms 4944 KB Output is correct
6 Correct 15 ms 4944 KB Output is correct
7 Correct 14 ms 3920 KB Output is correct
8 Correct 21 ms 4944 KB Output is correct
9 Correct 21 ms 4932 KB Output is correct
10 Correct 14 ms 3920 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 4956 KB Output is correct
2 Correct 24 ms 4944 KB Output is correct
3 Correct 24 ms 5092 KB Output is correct
4 Correct 24 ms 4944 KB Output is correct
5 Correct 26 ms 5092 KB Output is correct
6 Correct 24 ms 5080 KB Output is correct
7 Correct 24 ms 4944 KB Output is correct
8 Correct 24 ms 4944 KB Output is correct
9 Correct 24 ms 5160 KB Output is correct
10 Correct 24 ms 5072 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2556 KB Output is correct
5 Correct 1 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2556 KB Output is correct
5 Correct 1 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2384 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 1 ms 2600 KB Output is correct
16 Correct 1 ms 2384 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 1 ms 2384 KB Output is correct
19 Correct 1 ms 2384 KB Output is correct
20 Correct 1 ms 2384 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB Output is correct
2 Correct 1 ms 2384 KB Output is correct
3 Correct 1 ms 2384 KB Output is correct
4 Correct 1 ms 2556 KB Output is correct
5 Correct 1 ms 2384 KB Output is correct
6 Correct 1 ms 2384 KB Output is correct
7 Correct 1 ms 2384 KB Output is correct
8 Correct 1 ms 2384 KB Output is correct
9 Correct 1 ms 2384 KB Output is correct
10 Correct 1 ms 2384 KB Output is correct
11 Correct 1 ms 2384 KB Output is correct
12 Correct 1 ms 2384 KB Output is correct
13 Correct 1 ms 2384 KB Output is correct
14 Correct 1 ms 2384 KB Output is correct
15 Correct 1 ms 2600 KB Output is correct
16 Correct 1 ms 2384 KB Output is correct
17 Correct 1 ms 2384 KB Output is correct
18 Correct 1 ms 2384 KB Output is correct
19 Correct 1 ms 2384 KB Output is correct
20 Correct 1 ms 2384 KB Output is correct
21 Correct 2 ms 2384 KB Output is correct
22 Correct 1 ms 2384 KB Output is correct
23 Correct 2 ms 2384 KB Output is correct
24 Correct 1 ms 2384 KB Output is correct
25 Correct 2 ms 2384 KB Output is correct
26 Correct 2 ms 2384 KB Output is correct
27 Correct 1 ms 2384 KB Output is correct
28 Correct 1 ms 2384 KB Output is correct
29 Correct 2 ms 2396 KB Output is correct
30 Correct 2 ms 2384 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 22 ms 3812 KB Output is correct
2 Correct 20 ms 3920 KB Output is correct
3 Correct 20 ms 3920 KB Output is correct
4 Correct 26 ms 4052 KB Output is correct
5 Correct 21 ms 3920 KB Output is correct
6 Correct 20 ms 3828 KB Output is correct
7 Correct 20 ms 3920 KB Output is correct
8 Correct 20 ms 3904 KB Output is correct
9 Correct 20 ms 3920 KB Output is correct
10 Correct 20 ms 3920 KB Output is correct
11 Correct 15 ms 5104 KB Output is correct
12 Correct 15 ms 4944 KB Output is correct
13 Correct 15 ms 4944 KB Output is correct
14 Correct 15 ms 3964 KB Output is correct
15 Correct 26 ms 4944 KB Output is correct
16 Correct 15 ms 4944 KB Output is correct
17 Correct 14 ms 3920 KB Output is correct
18 Correct 21 ms 4944 KB Output is correct
19 Correct 21 ms 4932 KB Output is correct
20 Correct 14 ms 3920 KB Output is correct
21 Correct 24 ms 4956 KB Output is correct
22 Correct 24 ms 4944 KB Output is correct
23 Correct 24 ms 5092 KB Output is correct
24 Correct 24 ms 4944 KB Output is correct
25 Correct 26 ms 5092 KB Output is correct
26 Correct 24 ms 5080 KB Output is correct
27 Correct 24 ms 4944 KB Output is correct
28 Correct 24 ms 4944 KB Output is correct
29 Correct 24 ms 5160 KB Output is correct
30 Correct 24 ms 5072 KB Output is correct
31 Correct 1 ms 2384 KB Output is correct
32 Correct 1 ms 2384 KB Output is correct
33 Correct 1 ms 2384 KB Output is correct
34 Correct 1 ms 2556 KB Output is correct
35 Correct 1 ms 2384 KB Output is correct
36 Correct 1 ms 2384 KB Output is correct
37 Correct 1 ms 2384 KB Output is correct
38 Correct 1 ms 2384 KB Output is correct
39 Correct 1 ms 2384 KB Output is correct
40 Correct 1 ms 2384 KB Output is correct
41 Correct 1 ms 2384 KB Output is correct
42 Correct 1 ms 2384 KB Output is correct
43 Correct 1 ms 2384 KB Output is correct
44 Correct 1 ms 2384 KB Output is correct
45 Correct 1 ms 2600 KB Output is correct
46 Correct 1 ms 2384 KB Output is correct
47 Correct 1 ms 2384 KB Output is correct
48 Correct 1 ms 2384 KB Output is correct
49 Correct 1 ms 2384 KB Output is correct
50 Correct 1 ms 2384 KB Output is correct
51 Correct 2 ms 2384 KB Output is correct
52 Correct 1 ms 2384 KB Output is correct
53 Correct 2 ms 2384 KB Output is correct
54 Correct 1 ms 2384 KB Output is correct
55 Correct 2 ms 2384 KB Output is correct
56 Correct 2 ms 2384 KB Output is correct
57 Correct 1 ms 2384 KB Output is correct
58 Correct 1 ms 2384 KB Output is correct
59 Correct 2 ms 2396 KB Output is correct
60 Correct 2 ms 2384 KB Output is correct
61 Correct 123 ms 14408 KB Output is correct
62 Correct 120 ms 14416 KB Output is correct
63 Correct 121 ms 14560 KB Output is correct
64 Correct 138 ms 14416 KB Output is correct
65 Correct 132 ms 14416 KB Output is correct
66 Correct 132 ms 14516 KB Output is correct
67 Correct 130 ms 14408 KB Output is correct
68 Correct 101 ms 14520 KB Output is correct
69 Correct 112 ms 14408 KB Output is correct
70 Correct 95 ms 14416 KB Output is correct