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Submission #861706

# Submission time Handle Problem Language Result Execution time Memory
861706 2023-10-16T16:55:45 Z wakandaaa Discharging (NOI20_discharging) C++17
100 / 100
 108 ms 26312 KB 
#include <bits/stdc++.h>
#define int long long
#define double long double

using namespace std;

#define mp make_pair
#define fi first
#define se second
#define all(x) x.begin(), x.end()

#define getbit(x, i) (((x) >> (i)) & 1)
#define bit(x) (1 << (x))
#define popcount __builtin_popcountll

mt19937_64 rd(chrono::steady_clock::now().time_since_epoch().count());
long long rand(long long l, long long r) {
    return l + rd() % (r - l + 1);
}

const int N = 1e6 + 5;
const int mod = 1e9 + 7; // 998244353;
const int lg = 25; // lg + 1
const int inf = 1e9; // INT_MAX;
const long long llinf = 1e18; // LLONG_MAX;

template<class X, class Y>
bool minimize(X &a, Y b) {
    return a > b ? (a = b, true) : false;
}

template<class X, class Y>
bool maximize(X &a, Y b) {
    return a < b ? (a = b, true) : false;
}

template<class X, class Y>
bool add(X &a, Y b) {
    a += b;
    while (a >= mod) a -= mod;
    while (a < 0) a += mod;
    return true;
}

int n;
int a[N];
int f[N];

double F(int j, int k) {
    return (f[j] - f[k]) / (j - k);
}

signed main() {
    ios::sync_with_stdio(false);
    cin.tie(0);

    cin >> n;
    for (int i = 1; i <= n; ++i) {
        cin >> a[i];
        a[i] = max(a[i], a[i - 1]);
    }

    memset(f, 0, sizeof f);
    f[0] = 0;

    deque<int> q;
    q.push_back(0);
    for (int i = 1; i <= n; ++i) {
        while (q.size() >= 2 && F(q[0], q[1]) < a[i]) q.pop_front();
        int j = q.front();
        f[i] = a[i] * (n - j) + f[j];
        while (q.size() >= 2 && F(q[q.size() - 2], q[q.size() - 1]) > F(q[q.size() - 1], i)) q.pop_back();
        q.push_back(i);
    }

    cout << f[n];

    return 0;
}

/*
5
1 3 2 6 3
27

7
1 1 2 2 2 2 2
14
*/

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8796 KB Output is correct
2 Correct 1 ms 8796 KB Output is correct
3 Correct 1 ms 8796 KB Output is correct
4 Correct 1 ms 8796 KB Output is correct
5 Correct 1 ms 8796 KB Output is correct
6 Correct 1 ms 8796 KB Output is correct
7 Correct 1 ms 8796 KB Output is correct
8 Correct 1 ms 8796 KB Output is correct
9 Correct 1 ms 8796 KB Output is correct
10 Correct 1 ms 8792 KB Output is correct
11 Correct 1 ms 8796 KB Output is correct
12 Correct 2 ms 8796 KB Output is correct
13 Correct 2 ms 8796 KB Output is correct
14 Correct 1 ms 8656 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8796 KB Output is correct
4 Correct 2 ms 8796 KB Output is correct
5 Correct 2 ms 8796 KB Output is correct
6 Correct 2 ms 8796 KB Output is correct
7 Correct 1 ms 8796 KB Output is correct
8 Correct 1 ms 8676 KB Output is correct
9 Correct 2 ms 8796 KB Output is correct
10 Correct 1 ms 8796 KB Output is correct
11 Correct 1 ms 8796 KB Output is correct
12 Correct 1 ms 9048 KB Output is correct
13 Correct 2 ms 8792 KB Output is correct
14 Correct 2 ms 9048 KB Output is correct
15 Correct 1 ms 8796 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8796 KB Output is correct
2 Correct 2 ms 8796 KB Output is correct
3 Correct 2 ms 8796 KB Output is correct
4 Correct 2 ms 8796 KB Output is correct
5 Correct 2 ms 8796 KB Output is correct
6 Correct 2 ms 8796 KB Output is correct
7 Correct 1 ms 8796 KB Output is correct
8 Correct 1 ms 8676 KB Output is correct
9 Correct 2 ms 8796 KB Output is correct
10 Correct 1 ms 8796 KB Output is correct
11 Correct 1 ms 8796 KB Output is correct
12 Correct 1 ms 9048 KB Output is correct
13 Correct 2 ms 8792 KB Output is correct
14 Correct 2 ms 9048 KB Output is correct
15 Correct 1 ms 8796 KB Output is correct
16 Correct 88 ms 20956 KB Output is correct
17 Correct 94 ms 21840 KB Output is correct
18 Correct 79 ms 20496 KB Output is correct
19 Correct 95 ms 21912 KB Output is correct
20 Correct 100 ms 21584 KB Output is correct
21 Correct 92 ms 21840 KB Output is correct
22 Correct 90 ms 21316 KB Output is correct
23 Correct 108 ms 22352 KB Output is correct
24 Correct 95 ms 21788 KB Output is correct
25 Correct 97 ms 22348 KB Output is correct
26 Correct 101 ms 22724 KB Output is correct
27 Correct 93 ms 20932 KB Output is correct
28 Correct 98 ms 22012 KB Output is correct
29 Correct 97 ms 22188 KB Output is correct
30 Correct 107 ms 22356 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 25684 KB Output is correct
2 Correct 97 ms 25680 KB Output is correct
3 Correct 97 ms 25664 KB Output is correct
4 Correct 96 ms 25668 KB Output is correct
5 Correct 96 ms 25556 KB Output is correct
6 Correct 100 ms 25544 KB Output is correct
7 Correct 96 ms 25776 KB Output is correct
8 Correct 96 ms 25684 KB Output is correct
9 Correct 97 ms 25684 KB Output is correct
10 Correct 101 ms 26312 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8796 KB Output is correct
2 Correct 1 ms 8796 KB Output is correct
3 Correct 1 ms 8796 KB Output is correct
4 Correct 1 ms 8796 KB Output is correct
5 Correct 1 ms 8796 KB Output is correct
6 Correct 1 ms 8796 KB Output is correct
7 Correct 1 ms 8796 KB Output is correct
8 Correct 1 ms 8796 KB Output is correct
9 Correct 1 ms 8796 KB Output is correct
10 Correct 1 ms 8792 KB Output is correct
11 Correct 1 ms 8796 KB Output is correct
12 Correct 2 ms 8796 KB Output is correct
13 Correct 2 ms 8796 KB Output is correct
14 Correct 1 ms 8656 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct
16 Correct 2 ms 8796 KB Output is correct
17 Correct 2 ms 8796 KB Output is correct
18 Correct 2 ms 8796 KB Output is correct
19 Correct 2 ms 8796 KB Output is correct
20 Correct 2 ms 8796 KB Output is correct
21 Correct 1 ms 8796 KB Output is correct
22 Correct 1 ms 8676 KB Output is correct
23 Correct 2 ms 8796 KB Output is correct
24 Correct 1 ms 8796 KB Output is correct
25 Correct 1 ms 8796 KB Output is correct
26 Correct 1 ms 9048 KB Output is correct
27 Correct 2 ms 8792 KB Output is correct
28 Correct 2 ms 9048 KB Output is correct
29 Correct 1 ms 8796 KB Output is correct
30 Correct 1 ms 8796 KB Output is correct
31 Correct 2 ms 8796 KB Output is correct
32 Correct 1 ms 8796 KB Output is correct
33 Correct 1 ms 8660 KB Output is correct
34 Correct 1 ms 8796 KB Output is correct
35 Correct 2 ms 8792 KB Output is correct
36 Correct 1 ms 8796 KB Output is correct
37 Correct 2 ms 8796 KB Output is correct
38 Correct 1 ms 8796 KB Output is correct
39 Correct 1 ms 8796 KB Output is correct
40 Correct 2 ms 8792 KB Output is correct
41 Correct 1 ms 8796 KB Output is correct
42 Correct 2 ms 8792 KB Output is correct
43 Correct 1 ms 9048 KB Output is correct
44 Correct 1 ms 8796 KB Output is correct
45 Correct 1 ms 8796 KB Output is correct
46 Correct 2 ms 8660 KB Output is correct
47 Correct 2 ms 8792 KB Output is correct
48 Correct 2 ms 8792 KB Output is correct
49 Correct 2 ms 8792 KB Output is correct
50 Correct 1 ms 8796 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 8796 KB Output is correct
2 Correct 1 ms 8796 KB Output is correct
3 Correct 1 ms 8796 KB Output is correct
4 Correct 1 ms 8796 KB Output is correct
5 Correct 1 ms 8796 KB Output is correct
6 Correct 1 ms 8796 KB Output is correct
7 Correct 1 ms 8796 KB Output is correct
8 Correct 1 ms 8796 KB Output is correct
9 Correct 1 ms 8796 KB Output is correct
10 Correct 1 ms 8792 KB Output is correct
11 Correct 1 ms 8796 KB Output is correct
12 Correct 2 ms 8796 KB Output is correct
13 Correct 2 ms 8796 KB Output is correct
14 Correct 1 ms 8656 KB Output is correct
15 Correct 2 ms 8796 KB Output is correct
16 Correct 2 ms 8796 KB Output is correct
17 Correct 2 ms 8796 KB Output is correct
18 Correct 2 ms 8796 KB Output is correct
19 Correct 2 ms 8796 KB Output is correct
20 Correct 2 ms 8796 KB Output is correct
21 Correct 1 ms 8796 KB Output is correct
22 Correct 1 ms 8676 KB Output is correct
23 Correct 2 ms 8796 KB Output is correct
24 Correct 1 ms 8796 KB Output is correct
25 Correct 1 ms 8796 KB Output is correct
26 Correct 1 ms 9048 KB Output is correct
27 Correct 2 ms 8792 KB Output is correct
28 Correct 2 ms 9048 KB Output is correct
29 Correct 1 ms 8796 KB Output is correct
30 Correct 88 ms 20956 KB Output is correct
31 Correct 94 ms 21840 KB Output is correct
32 Correct 79 ms 20496 KB Output is correct
33 Correct 95 ms 21912 KB Output is correct
34 Correct 100 ms 21584 KB Output is correct
35 Correct 92 ms 21840 KB Output is correct
36 Correct 90 ms 21316 KB Output is correct
37 Correct 108 ms 22352 KB Output is correct
38 Correct 95 ms 21788 KB Output is correct
39 Correct 97 ms 22348 KB Output is correct
40 Correct 101 ms 22724 KB Output is correct
41 Correct 93 ms 20932 KB Output is correct
42 Correct 98 ms 22012 KB Output is correct
43 Correct 97 ms 22188 KB Output is correct
44 Correct 107 ms 22356 KB Output is correct
45 Correct 98 ms 25684 KB Output is correct
46 Correct 97 ms 25680 KB Output is correct
47 Correct 97 ms 25664 KB Output is correct
48 Correct 96 ms 25668 KB Output is correct
49 Correct 96 ms 25556 KB Output is correct
50 Correct 100 ms 25544 KB Output is correct
51 Correct 96 ms 25776 KB Output is correct
52 Correct 96 ms 25684 KB Output is correct
53 Correct 97 ms 25684 KB Output is correct
54 Correct 101 ms 26312 KB Output is correct
55 Correct 1 ms 8796 KB Output is correct
56 Correct 2 ms 8796 KB Output is correct
57 Correct 1 ms 8796 KB Output is correct
58 Correct 1 ms 8660 KB Output is correct
59 Correct 1 ms 8796 KB Output is correct
60 Correct 2 ms 8792 KB Output is correct
61 Correct 1 ms 8796 KB Output is correct
62 Correct 2 ms 8796 KB Output is correct
63 Correct 1 ms 8796 KB Output is correct
64 Correct 1 ms 8796 KB Output is correct
65 Correct 2 ms 8792 KB Output is correct
66 Correct 1 ms 8796 KB Output is correct
67 Correct 2 ms 8792 KB Output is correct
68 Correct 1 ms 9048 KB Output is correct
69 Correct 1 ms 8796 KB Output is correct
70 Correct 1 ms 8796 KB Output is correct
71 Correct 2 ms 8660 KB Output is correct
72 Correct 2 ms 8792 KB Output is correct
73 Correct 2 ms 8792 KB Output is correct
74 Correct 2 ms 8792 KB Output is correct
75 Correct 1 ms 8796 KB Output is correct
76 Correct 94 ms 22100 KB Output is correct
77 Correct 97 ms 22028 KB Output is correct
78 Correct 88 ms 21332 KB Output is correct
79 Correct 89 ms 21708 KB Output is correct
80 Correct 96 ms 22424 KB Output is correct
81 Correct 93 ms 21572 KB Output is correct
82 Correct 86 ms 21616 KB Output is correct
83 Correct 95 ms 21812 KB Output is correct
84 Correct 89 ms 21840 KB Output is correct
85 Correct 99 ms 22328 KB Output is correct
86 Correct 85 ms 21324 KB Output is correct
87 Correct 86 ms 21328 KB Output is correct
88 Correct 92 ms 21680 KB Output is correct
89 Correct 96 ms 21648 KB Output is correct
90 Correct 90 ms 21372 KB Output is correct
91 Correct 84 ms 21332 KB Output is correct
92 Correct 101 ms 22476 KB Output is correct
93 Correct 107 ms 21832 KB Output is correct
94 Correct 88 ms 20816 KB Output is correct
95 Correct 93 ms 22704 KB Output is correct
96 Correct 87 ms 21188 KB Output is correct
97 Correct 98 ms 21592 KB Output is correct
98 Correct 88 ms 21700 KB Output is correct
99 Correct 88 ms 21412 KB Output is correct
100 Correct 91 ms 21540 KB Output is correct