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Submission #335918

# Submission time Handle Problem Language Result Execution time Memory
335918 2020-12-14T09:36:38 Z mihai145 Discharging (NOI20_discharging) C++14
100 / 100
 151 ms 24556 KB 
#include <iostream>
#include <deque>

using namespace std;

struct Line
{
    long long m, n;

    long long eval(long long x)
    {
        return m * x + n;
    }

    long double intersect(Line l)
    {
        return (1.0 * (l.n - n)) / (1.0 * (m - l.m));
    }
};

struct CHT
{
    deque <Line> dq;

    void Insert(Line l)
    {
        while((int)dq.size() > 1 && dq.end()[-1].intersect(l) < dq.end()[-2].intersect(dq.end()[-1]))
            dq.pop_back();

        dq.push_back(l);
    }

    long long Query(long long x)
    {
        while(dq.size() > 1 && dq[0].intersect(dq[1]) < x)
            dq.pop_front();

        return dq[0].eval(x);
    }
};

const int NMAX = 1e6;

int N;
long long T[NMAX + 5], dp[NMAX + 5];

CHT cht;

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    cin >> N;
    for(int i = 1; i <= N; i++)
        cin >> T[i];

    dp[0] = 0;
    cht.Insert({-1, 0});

    long long runningMax = 0;
    for(int i = 1; i <= N; i++)
    {
        runningMax = max(runningMax, T[i]);
        dp[i] = runningMax * (N + 1) + cht.Query(runningMax);
        cht.Insert({-(i + 1), dp[i]});
    }

    cout << dp[N] << '\n';

    return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 492 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 376 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 1 ms 376 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 126 ms 21100 KB Output is correct
17 Correct 148 ms 21868 KB Output is correct
18 Correct 126 ms 20360 KB Output is correct
19 Correct 134 ms 21868 KB Output is correct
20 Correct 131 ms 21632 KB Output is correct
21 Correct 131 ms 21752 KB Output is correct
22 Correct 129 ms 21356 KB Output is correct
23 Correct 139 ms 22508 KB Output is correct
24 Correct 135 ms 21868 KB Output is correct
25 Correct 136 ms 22252 KB Output is correct
26 Correct 143 ms 22764 KB Output is correct
27 Correct 127 ms 21100 KB Output is correct
28 Correct 134 ms 21996 KB Output is correct
29 Correct 135 ms 22124 KB Output is correct
30 Correct 139 ms 22380 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 147 ms 21556 KB Output is correct
2 Correct 147 ms 24300 KB Output is correct
3 Correct 150 ms 24300 KB Output is correct
4 Correct 146 ms 24300 KB Output is correct
5 Correct 151 ms 24300 KB Output is correct
6 Correct 150 ms 24300 KB Output is correct
7 Correct 149 ms 24300 KB Output is correct
8 Correct 149 ms 24556 KB Output is correct
9 Correct 149 ms 24300 KB Output is correct
10 Correct 150 ms 24300 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 492 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 376 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 364 KB Output is correct
37 Correct 1 ms 364 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 1 ms 364 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 1 ms 364 KB Output is correct
42 Correct 1 ms 384 KB Output is correct
43 Correct 1 ms 364 KB Output is correct
44 Correct 1 ms 364 KB Output is correct
45 Correct 1 ms 364 KB Output is correct
46 Correct 1 ms 364 KB Output is correct
47 Correct 1 ms 364 KB Output is correct
48 Correct 1 ms 364 KB Output is correct
49 Correct 1 ms 364 KB Output is correct
50 Correct 1 ms 364 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 492 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 384 KB Output is correct
25 Correct 1 ms 376 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 126 ms 21100 KB Output is correct
31 Correct 148 ms 21868 KB Output is correct
32 Correct 126 ms 20360 KB Output is correct
33 Correct 134 ms 21868 KB Output is correct
34 Correct 131 ms 21632 KB Output is correct
35 Correct 131 ms 21752 KB Output is correct
36 Correct 129 ms 21356 KB Output is correct
37 Correct 139 ms 22508 KB Output is correct
38 Correct 135 ms 21868 KB Output is correct
39 Correct 136 ms 22252 KB Output is correct
40 Correct 143 ms 22764 KB Output is correct
41 Correct 127 ms 21100 KB Output is correct
42 Correct 134 ms 21996 KB Output is correct
43 Correct 135 ms 22124 KB Output is correct
44 Correct 139 ms 22380 KB Output is correct
45 Correct 147 ms 21556 KB Output is correct
46 Correct 147 ms 24300 KB Output is correct
47 Correct 150 ms 24300 KB Output is correct
48 Correct 146 ms 24300 KB Output is correct
49 Correct 151 ms 24300 KB Output is correct
50 Correct 150 ms 24300 KB Output is correct
51 Correct 149 ms 24300 KB Output is correct
52 Correct 149 ms 24556 KB Output is correct
53 Correct 149 ms 24300 KB Output is correct
54 Correct 150 ms 24300 KB Output is correct
55 Correct 1 ms 364 KB Output is correct
56 Correct 1 ms 364 KB Output is correct
57 Correct 1 ms 364 KB Output is correct
58 Correct 1 ms 364 KB Output is correct
59 Correct 1 ms 364 KB Output is correct
60 Correct 1 ms 364 KB Output is correct
61 Correct 1 ms 364 KB Output is correct
62 Correct 1 ms 364 KB Output is correct
63 Correct 1 ms 364 KB Output is correct
64 Correct 1 ms 364 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Correct 1 ms 384 KB Output is correct
68 Correct 1 ms 364 KB Output is correct
69 Correct 1 ms 364 KB Output is correct
70 Correct 1 ms 364 KB Output is correct
71 Correct 1 ms 364 KB Output is correct
72 Correct 1 ms 364 KB Output is correct
73 Correct 1 ms 364 KB Output is correct
74 Correct 1 ms 364 KB Output is correct
75 Correct 1 ms 364 KB Output is correct
76 Correct 134 ms 21996 KB Output is correct
77 Correct 133 ms 21996 KB Output is correct
78 Correct 128 ms 21484 KB Output is correct
79 Correct 133 ms 21612 KB Output is correct
80 Correct 135 ms 22380 KB Output is correct
81 Correct 128 ms 21484 KB Output is correct
82 Correct 151 ms 21484 KB Output is correct
83 Correct 141 ms 21996 KB Output is correct
84 Correct 134 ms 21872 KB Output is correct
85 Correct 134 ms 22016 KB Output is correct
86 Correct 126 ms 21484 KB Output is correct
87 Correct 128 ms 21356 KB Output is correct
88 Correct 132 ms 21740 KB Output is correct
89 Correct 128 ms 21484 KB Output is correct
90 Correct 131 ms 21612 KB Output is correct
91 Correct 127 ms 21356 KB Output is correct
92 Correct 139 ms 22508 KB Output is correct
93 Correct 135 ms 21792 KB Output is correct
94 Correct 123 ms 20972 KB Output is correct
95 Correct 139 ms 22392 KB Output is correct
96 Correct 129 ms 21356 KB Output is correct
97 Correct 130 ms 21616 KB Output is correct
98 Correct 130 ms 21868 KB Output is correct
99 Correct 130 ms 21444 KB Output is correct
100 Correct 132 ms 21496 KB Output is correct