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Submission #474559

# Submission time Handle Problem Language Result Execution time Memory
474559 2021-09-19T03:19:13 Z PurpleCrayon Feast (NOI19_feast) C++17
71 / 100
 406 ms 9756 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 < 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 39 ms 4804 KB Output is correct
2 Correct 38 ms 4924 KB Output is correct
3 Correct 38 ms 4896 KB Output is correct
4 Correct 48 ms 4864 KB Output is correct
5 Correct 46 ms 4904 KB Output is correct
6 Correct 37 ms 4804 KB Output is correct
7 Correct 38 ms 4756 KB Output is correct
8 Correct 39 ms 4908 KB Output is correct
9 Correct 38 ms 4832 KB Output is correct
10 Correct 37 ms 4872 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 202 ms 9464 KB Output is correct
2 Correct 209 ms 9604 KB Output is correct
3 Correct 195 ms 9456 KB Output is correct
4 Correct 207 ms 9536 KB Output is correct
5 Correct 208 ms 9412 KB Output is correct
6 Correct 195 ms 9456 KB Output is correct
7 Correct 191 ms 9744 KB Output is correct
8 Correct 209 ms 9516 KB Output is correct
9 Correct 209 ms 9380 KB Output is correct
10 Correct 187 ms 9740 KB Output is correct

Subtask #3
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 269 ms 9588 KB Output is correct
2 Correct 270 ms 9392 KB Output is correct
3 Correct 275 ms 9688 KB Output is correct
4 Correct 269 ms 9476 KB Output is correct
5 Correct 271 ms 9540 KB Output is correct
6 Correct 269 ms 9552 KB Output is correct
7 Correct 280 ms 9648 KB Output is correct
8 Correct 269 ms 9560 KB Output is correct
9 Correct 275 ms 9672 KB Output is correct
10 Correct 278 ms 9756 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 0 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 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 0 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 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 0 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 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 3 ms 332 KB Output is correct
22 Correct 3 ms 332 KB Output is correct
23 Correct 3 ms 392 KB Output is correct
24 Correct 3 ms 332 KB Output is correct
25 Correct 3 ms 332 KB Output is correct
26 Correct 3 ms 396 KB Output is correct
27 Correct 3 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 4804 KB Output is correct
2 Correct 38 ms 4924 KB Output is correct
3 Correct 38 ms 4896 KB Output is correct
4 Correct 48 ms 4864 KB Output is correct
5 Correct 46 ms 4904 KB Output is correct
6 Correct 37 ms 4804 KB Output is correct
7 Correct 38 ms 4756 KB Output is correct
8 Correct 39 ms 4908 KB Output is correct
9 Correct 38 ms 4832 KB Output is correct
10 Correct 37 ms 4872 KB Output is correct
11 Correct 202 ms 9464 KB Output is correct
12 Correct 209 ms 9604 KB Output is correct
13 Correct 195 ms 9456 KB Output is correct
14 Correct 207 ms 9536 KB Output is correct
15 Correct 208 ms 9412 KB Output is correct
16 Correct 195 ms 9456 KB Output is correct
17 Correct 191 ms 9744 KB Output is correct
18 Correct 209 ms 9516 KB Output is correct
19 Correct 209 ms 9380 KB Output is correct
20 Correct 187 ms 9740 KB Output is correct
21 Correct 269 ms 9588 KB Output is correct
22 Correct 270 ms 9392 KB Output is correct
23 Correct 275 ms 9688 KB Output is correct
24 Correct 269 ms 9476 KB Output is correct
25 Correct 271 ms 9540 KB Output is correct
26 Correct 269 ms 9552 KB Output is correct
27 Correct 280 ms 9648 KB Output is correct
28 Correct 269 ms 9560 KB Output is correct
29 Correct 275 ms 9672 KB Output is correct
30 Correct 278 ms 9756 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 0 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 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 3 ms 332 KB Output is correct
52 Correct 3 ms 332 KB Output is correct
53 Correct 3 ms 392 KB Output is correct
54 Correct 3 ms 332 KB Output is correct
55 Correct 3 ms 332 KB Output is correct
56 Correct 3 ms 396 KB Output is correct
57 Correct 3 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 406 ms 9372 KB Output isn't correct
62 Halted 0 ms 0 KB -