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Submission #474556

# Submission time Handle Problem Language Result Execution time Memory
474556 2021-09-19T03:01:53 Z PurpleCrayon Feast (NOI19_feast) C++17
100 / 100
 899 ms 17440 KB 
#include <bits/stdc++.h>
using namespace std;
 
#define sz(v) int(v.size())
#define ar array
typedef long long ll;
const int MAXN = 3e5+10, MOD = 1e9+7;

using ld = long double;
#define double ld

int n, k;
ll a[MAXN], ps[MAXN];
pair<double, ll> dp[MAXN];

pair<double, ll> v(double x) { // cnt, cost
    fill(dp, dp+n, make_pair(0., 0ll));
    pair<double, ll> prv{0., 0};
    for (int i = 0; i < n; i++) {
        if (i) dp[i] = dp[i-1];
        // {ps[i] - ps[j] + dp[j].first, dp[j].second + 1}
        dp[i] = max(dp[i], make_pair(prv.first + ps[i] - x, prv.second + 1));
        prv = max(prv, make_pair(-ps[i] + dp[i].first, dp[i].second));
    }
    return dp[n-1];
}
void solve() {
    cin >> n >> k;
    for (int i = 0; i < n; i++) cin >> a[i];
    for (int i = 0; i < n; i++) ps[i] = a[i] + (i ? ps[i-1] : 0);

    bool bad = 0;
    for (int i = 0; i < n; i++) if (a[i] < 0) bad = 1;
    if (!bad) {
        cout << ps[n-1] << '\n';
        return;
    }


    double lo = 0, hi = 1e18;
    for (int rep = 0; rep < 100; rep++) {
        double mid = (lo + hi) / 2;
        if (v(mid).second >= k) lo = mid;
        else hi = mid;
    }
    double opt = lo;
    auto [ans, cnt] = v(opt);
    ans += opt * cnt;
    cout << llround(ans) << '\n';
}
int main(){
    ios::sync_with_stdio(false); cin.tie(0);
    int T=1;
    //cin >> T;
    while (T--) solve();
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 4804 KB Output is correct
2 Correct 39 ms 5064 KB Output is correct
3 Correct 39 ms 5068 KB Output is correct
4 Correct 47 ms 5012 KB Output is correct
5 Correct 38 ms 5060 KB Output is correct
6 Correct 39 ms 4932 KB Output is correct
7 Correct 38 ms 4896 KB Output is correct
8 Correct 45 ms 5060 KB Output is correct
9 Correct 38 ms 4976 KB Output is correct
10 Correct 38 ms 5040 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 638 ms 14048 KB Output is correct
2 Correct 651 ms 14404 KB Output is correct
3 Correct 626 ms 14024 KB Output is correct
4 Correct 633 ms 14276 KB Output is correct
5 Correct 634 ms 13972 KB Output is correct
6 Correct 622 ms 14016 KB Output is correct
7 Correct 648 ms 14276 KB Output is correct
8 Correct 653 ms 14296 KB Output is correct
9 Correct 620 ms 13928 KB Output is correct
10 Correct 620 ms 14284 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 719 ms 14228 KB Output is correct
2 Correct 690 ms 14044 KB Output is correct
3 Correct 723 ms 14188 KB Output is correct
4 Correct 695 ms 14056 KB Output is correct
5 Correct 733 ms 14180 KB Output is correct
6 Correct 713 ms 14276 KB Output is correct
7 Correct 717 ms 14324 KB Output is correct
8 Correct 712 ms 14188 KB Output is correct
9 Correct 743 ms 14360 KB Output is correct
10 Correct 737 ms 14324 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 216 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct

Subtask #6
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 332 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 216 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 1 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 6 ms 460 KB Output is correct
22 Correct 6 ms 332 KB Output is correct
23 Correct 6 ms 332 KB Output is correct
24 Correct 6 ms 420 KB Output is correct
25 Correct 6 ms 332 KB Output is correct
26 Correct 6 ms 332 KB Output is correct
27 Correct 6 ms 332 KB Output is correct
28 Correct 5 ms 332 KB Output is correct
29 Correct 5 ms 332 KB Output is correct
30 Correct 5 ms 332 KB Output is correct

Subtask #7
29.0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 4804 KB Output is correct
2 Correct 39 ms 5064 KB Output is correct
3 Correct 39 ms 5068 KB Output is correct
4 Correct 47 ms 5012 KB Output is correct
5 Correct 38 ms 5060 KB Output is correct
6 Correct 39 ms 4932 KB Output is correct
7 Correct 38 ms 4896 KB Output is correct
8 Correct 45 ms 5060 KB Output is correct
9 Correct 38 ms 4976 KB Output is correct
10 Correct 38 ms 5040 KB Output is correct
11 Correct 638 ms 14048 KB Output is correct
12 Correct 651 ms 14404 KB Output is correct
13 Correct 626 ms 14024 KB Output is correct
14 Correct 633 ms 14276 KB Output is correct
15 Correct 634 ms 13972 KB Output is correct
16 Correct 622 ms 14016 KB Output is correct
17 Correct 648 ms 14276 KB Output is correct
18 Correct 653 ms 14296 KB Output is correct
19 Correct 620 ms 13928 KB Output is correct
20 Correct 620 ms 14284 KB Output is correct
21 Correct 719 ms 14228 KB Output is correct
22 Correct 690 ms 14044 KB Output is correct
23 Correct 723 ms 14188 KB Output is correct
24 Correct 695 ms 14056 KB Output is correct
25 Correct 733 ms 14180 KB Output is correct
26 Correct 713 ms 14276 KB Output is correct
27 Correct 717 ms 14324 KB Output is correct
28 Correct 712 ms 14188 KB Output is correct
29 Correct 743 ms 14360 KB Output is correct
30 Correct 737 ms 14324 KB Output is correct
31 Correct 1 ms 332 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 332 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 1 ms 332 KB Output is correct
37 Correct 1 ms 332 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 1 ms 204 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 1 ms 216 KB Output is correct
43 Correct 1 ms 332 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 1 ms 332 KB Output is correct
46 Correct 1 ms 332 KB Output is correct
47 Correct 1 ms 332 KB Output is correct
48 Correct 1 ms 332 KB Output is correct
49 Correct 1 ms 332 KB Output is correct
50 Correct 1 ms 332 KB Output is correct
51 Correct 6 ms 460 KB Output is correct
52 Correct 6 ms 332 KB Output is correct
53 Correct 6 ms 332 KB Output is correct
54 Correct 6 ms 420 KB Output is correct
55 Correct 6 ms 332 KB Output is correct
56 Correct 6 ms 332 KB Output is correct
57 Correct 6 ms 332 KB Output is correct
58 Correct 5 ms 332 KB Output is correct
59 Correct 5 ms 332 KB Output is correct
60 Correct 5 ms 332 KB Output is correct
61 Correct 819 ms 14164 KB Output is correct
62 Correct 820 ms 17440 KB Output is correct
63 Correct 785 ms 17092 KB Output is correct
64 Correct 848 ms 17316 KB Output is correct
65 Correct 844 ms 17332 KB Output is correct
66 Correct 899 ms 17352 KB Output is correct
67 Correct 825 ms 17092 KB Output is correct
68 Correct 708 ms 17328 KB Output is correct
69 Correct 717 ms 16964 KB Output is correct
70 Correct 699 ms 16964 KB Output is correct