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Submission #474555

# Submission time Handle Problem Language Result Execution time Memory
474555 2021-09-19T03:00:41 Z PurpleCrayon Feast (NOI19_feast) C++17
71 / 100
 338 ms 12428 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;

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 < 80; 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 39 ms 4844 KB Output is correct
2 Correct 40 ms 7796 KB Output is correct
3 Correct 40 ms 7776 KB Output is correct
4 Correct 45 ms 7728 KB Output is correct
5 Correct 40 ms 7784 KB Output is correct
6 Correct 39 ms 7576 KB Output is correct
7 Correct 38 ms 7552 KB Output is correct
8 Correct 42 ms 7744 KB Output is correct
9 Correct 40 ms 7576 KB Output is correct
10 Correct 48 ms 7748 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 163 ms 9364 KB Output is correct
2 Correct 168 ms 9608 KB Output is correct
3 Correct 164 ms 9548 KB Output is correct
4 Correct 166 ms 9536 KB Output is correct
5 Correct 174 ms 9412 KB Output is correct
6 Correct 171 ms 9440 KB Output is correct
7 Correct 171 ms 9772 KB Output is correct
8 Correct 198 ms 9572 KB Output is correct
9 Correct 183 ms 9320 KB Output is correct
10 Correct 184 ms 9628 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 231 ms 9500 KB Output is correct
2 Correct 260 ms 9472 KB Output is correct
3 Correct 229 ms 9568 KB Output is correct
4 Correct 230 ms 9516 KB Output is correct
5 Correct 223 ms 9560 KB Output is correct
6 Correct 231 ms 9612 KB Output is correct
7 Correct 230 ms 9568 KB Output is correct
8 Correct 221 ms 9564 KB Output is correct
9 Correct 236 ms 9728 KB Output is correct
10 Correct 239 ms 9620 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct

Subtask #5
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 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 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 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 2 ms 332 KB Output is correct
22 Correct 3 ms 332 KB Output is correct
23 Correct 2 ms 396 KB Output is correct
24 Correct 2 ms 332 KB Output is correct
25 Correct 2 ms 332 KB Output is correct
26 Correct 2 ms 332 KB Output is correct
27 Correct 2 ms 332 KB Output is correct
28 Correct 2 ms 332 KB Output is correct
29 Correct 2 ms 332 KB Output is correct
30 Correct 2 ms 332 KB Output is correct

Subtask #7
0 / 29.0

# Verdict Execution time Memory Grader output
1 Correct 39 ms 4844 KB Output is correct
2 Correct 40 ms 7796 KB Output is correct
3 Correct 40 ms 7776 KB Output is correct
4 Correct 45 ms 7728 KB Output is correct
5 Correct 40 ms 7784 KB Output is correct
6 Correct 39 ms 7576 KB Output is correct
7 Correct 38 ms 7552 KB Output is correct
8 Correct 42 ms 7744 KB Output is correct
9 Correct 40 ms 7576 KB Output is correct
10 Correct 48 ms 7748 KB Output is correct
11 Correct 163 ms 9364 KB Output is correct
12 Correct 168 ms 9608 KB Output is correct
13 Correct 164 ms 9548 KB Output is correct
14 Correct 166 ms 9536 KB Output is correct
15 Correct 174 ms 9412 KB Output is correct
16 Correct 171 ms 9440 KB Output is correct
17 Correct 171 ms 9772 KB Output is correct
18 Correct 198 ms 9572 KB Output is correct
19 Correct 183 ms 9320 KB Output is correct
20 Correct 184 ms 9628 KB Output is correct
21 Correct 231 ms 9500 KB Output is correct
22 Correct 260 ms 9472 KB Output is correct
23 Correct 229 ms 9568 KB Output is correct
24 Correct 230 ms 9516 KB Output is correct
25 Correct 223 ms 9560 KB Output is correct
26 Correct 231 ms 9612 KB Output is correct
27 Correct 230 ms 9568 KB Output is correct
28 Correct 221 ms 9564 KB Output is correct
29 Correct 236 ms 9728 KB Output is correct
30 Correct 239 ms 9620 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 0 ms 204 KB Output is correct
37 Correct 1 ms 204 KB Output is correct
38 Correct 1 ms 332 KB Output is correct
39 Correct 1 ms 332 KB Output is correct
40 Correct 1 ms 332 KB Output is correct
41 Correct 1 ms 332 KB Output is correct
42 Correct 1 ms 332 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 2 ms 332 KB Output is correct
52 Correct 3 ms 332 KB Output is correct
53 Correct 2 ms 396 KB Output is correct
54 Correct 2 ms 332 KB Output is correct
55 Correct 2 ms 332 KB Output is correct
56 Correct 2 ms 332 KB Output is correct
57 Correct 2 ms 332 KB Output is correct
58 Correct 2 ms 332 KB Output is correct
59 Correct 2 ms 332 KB Output is correct
60 Correct 2 ms 332 KB Output is correct
61 Incorrect 338 ms 12428 KB Output isn't correct
62 Halted 0 ms 0 KB -