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Submission #1099485

# Submission time Handle Problem Language Result Execution time Memory
1099485 2024-10-11T12:04:14 Z NoMercy Discharging (NOI20_discharging) C++14
100 / 100
 87 ms 23952 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;

const int MAXN = 1e6 + 55;

ll dp[MAXN], T[MAXN];

ll f (array<ll, 2> line, ll x) {
	return line[0] * x + line[1];
}
long double inters (array<ll, 2> line1, array<ll, 2> line2) {
	return (line2[1] - line1[1]) / (line1[0] - line2[0]);
}
struct Hull {
	deque<array<ll, 2>> dq;
	ll query (ll x) {
		while ((int)dq.size() > 1 && f(dq[0], x) > f(dq[1], x)) dq.pop_front();
		return f(dq[0], x);
	}
	void insert (array<ll, 2> line) {
		while (dq.size() > 1 && inters(line, dq.back()) <= inters(line, dq[dq.size() - 2])) dq.pop_back();
		dq.push_back(line);
	}
};

int32_t main () {

    ios_base::sync_with_stdio(0); 
    cin.tie(0); 
    cout.tie(0); 

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

    Hull hl;
	ll mx = 1, ind = 1;
	for (int i = 1;i <= N;i ++) {
		if (T[i] >= T[mx]) {
            mx = i;
        }
		while (ind <= mx){
			hl.insert({-1LL * ind, dp[ind - 1]});
			ind ++;
		}
		if (i > 1) {
            dp[i] = min(T[mx] * N, hl.query(T[mx]) + T[mx] * (N + 1));
        } else {
            dp[i] = T[1] * N;
        }
	}
	cout << dp[N] << "\n";
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 352 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 1 ms 352 KB Output is correct
14 Correct 0 ms 352 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 356 KB Output is correct
2 Correct 1 ms 352 KB Output is correct
3 Correct 0 ms 516 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 356 KB Output is correct
6 Correct 1 ms 476 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 356 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 352 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 356 KB Output is correct
2 Correct 1 ms 352 KB Output is correct
3 Correct 0 ms 516 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 356 KB Output is correct
6 Correct 1 ms 476 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 1 ms 356 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 352 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 81 ms 21128 KB Output is correct
17 Correct 77 ms 21844 KB Output is correct
18 Correct 73 ms 20348 KB Output is correct
19 Correct 86 ms 21720 KB Output is correct
20 Correct 78 ms 21520 KB Output is correct
21 Correct 86 ms 21688 KB Output is correct
22 Correct 73 ms 21328 KB Output is correct
23 Correct 77 ms 22424 KB Output is correct
24 Correct 71 ms 21744 KB Output is correct
25 Correct 74 ms 22352 KB Output is correct
26 Correct 75 ms 22724 KB Output is correct
27 Correct 73 ms 21076 KB Output is correct
28 Correct 69 ms 21936 KB Output is correct
29 Correct 72 ms 22096 KB Output is correct
30 Correct 74 ms 22356 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 83 ms 23952 KB Output is correct
2 Correct 81 ms 23588 KB Output is correct
3 Correct 86 ms 23632 KB Output is correct
4 Correct 87 ms 23580 KB Output is correct
5 Correct 84 ms 23532 KB Output is correct
6 Correct 80 ms 23740 KB Output is correct
7 Correct 80 ms 23616 KB Output is correct
8 Correct 80 ms 23636 KB Output is correct
9 Correct 80 ms 23740 KB Output is correct
10 Correct 82 ms 23636 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 352 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 1 ms 352 KB Output is correct
14 Correct 0 ms 352 KB Output is correct
15 Correct 1 ms 356 KB Output is correct
16 Correct 1 ms 352 KB Output is correct
17 Correct 0 ms 516 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 356 KB Output is correct
20 Correct 1 ms 476 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 356 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 352 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 0 ms 604 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 1 ms 348 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 1 ms 348 KB Output is correct
42 Correct 1 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 1 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 1 ms 348 KB Output is correct
49 Correct 1 ms 348 KB Output is correct
50 Correct 1 ms 348 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 352 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 1 ms 352 KB Output is correct
14 Correct 0 ms 352 KB Output is correct
15 Correct 1 ms 356 KB Output is correct
16 Correct 1 ms 352 KB Output is correct
17 Correct 0 ms 516 KB Output is correct
18 Correct 1 ms 348 KB Output is correct
19 Correct 0 ms 356 KB Output is correct
20 Correct 1 ms 476 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 356 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 352 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 81 ms 21128 KB Output is correct
31 Correct 77 ms 21844 KB Output is correct
32 Correct 73 ms 20348 KB Output is correct
33 Correct 86 ms 21720 KB Output is correct
34 Correct 78 ms 21520 KB Output is correct
35 Correct 86 ms 21688 KB Output is correct
36 Correct 73 ms 21328 KB Output is correct
37 Correct 77 ms 22424 KB Output is correct
38 Correct 71 ms 21744 KB Output is correct
39 Correct 74 ms 22352 KB Output is correct
40 Correct 75 ms 22724 KB Output is correct
41 Correct 73 ms 21076 KB Output is correct
42 Correct 69 ms 21936 KB Output is correct
43 Correct 72 ms 22096 KB Output is correct
44 Correct 74 ms 22356 KB Output is correct
45 Correct 83 ms 23952 KB Output is correct
46 Correct 81 ms 23588 KB Output is correct
47 Correct 86 ms 23632 KB Output is correct
48 Correct 87 ms 23580 KB Output is correct
49 Correct 84 ms 23532 KB Output is correct
50 Correct 80 ms 23740 KB Output is correct
51 Correct 80 ms 23616 KB Output is correct
52 Correct 80 ms 23636 KB Output is correct
53 Correct 80 ms 23740 KB Output is correct
54 Correct 82 ms 23636 KB Output is correct
55 Correct 0 ms 604 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 0 ms 348 KB Output is correct
62 Correct 1 ms 348 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 1 ms 344 KB Output is correct
66 Correct 1 ms 348 KB Output is correct
67 Correct 1 ms 348 KB Output is correct
68 Correct 0 ms 348 KB Output is correct
69 Correct 0 ms 348 KB Output is correct
70 Correct 0 ms 348 KB Output is correct
71 Correct 1 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 1 ms 348 KB Output is correct
74 Correct 1 ms 348 KB Output is correct
75 Correct 1 ms 348 KB Output is correct
76 Correct 75 ms 22096 KB Output is correct
77 Correct 80 ms 22096 KB Output is correct
78 Correct 74 ms 21332 KB Output is correct
79 Correct 70 ms 21584 KB Output is correct
80 Correct 77 ms 22424 KB Output is correct
81 Correct 71 ms 21584 KB Output is correct
82 Correct 69 ms 21444 KB Output is correct
83 Correct 75 ms 21844 KB Output is correct
84 Correct 79 ms 21840 KB Output is correct
85 Correct 75 ms 22100 KB Output is correct
86 Correct 85 ms 21360 KB Output is correct
87 Correct 69 ms 21328 KB Output is correct
88 Correct 66 ms 21704 KB Output is correct
89 Correct 73 ms 21584 KB Output is correct
90 Correct 67 ms 21492 KB Output is correct
91 Correct 64 ms 21288 KB Output is correct
92 Correct 78 ms 22624 KB Output is correct
93 Correct 73 ms 21740 KB Output is correct
94 Correct 66 ms 20828 KB Output is correct
95 Correct 71 ms 22256 KB Output is correct
96 Correct 73 ms 21328 KB Output is correct
97 Correct 73 ms 21588 KB Output is correct
98 Correct 75 ms 21848 KB Output is correct
99 Correct 70 ms 21332 KB Output is correct
100 Correct 73 ms 21528 KB Output is correct