답안 #474556

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
474556	2021-09-19T03:01:53 Z	PurpleCrayon	Feast (NOI19_feast)	C++17	100 / 100	899 ms	17440 KB

feast

#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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

답안 #474556

Compilation message

Subtask #1 4.0 / 4.0

Subtask #2 8.0 / 8.0

Subtask #3 18.0 / 18.0

Subtask #4 10.0 / 10.0

Subtask #5 11.0 / 11.0

Subtask #6 20.0 / 20.0

Subtask #7 29.0 / 29.0

Subtask #1
4.0 / 4.0

Subtask #2
8.0 / 8.0

Subtask #3
18.0 / 18.0

Subtask #4
10.0 / 10.0

Subtask #5
11.0 / 11.0

Subtask #6
20.0 / 20.0

Subtask #7
29.0 / 29.0