oj.uz

Submission #676487

# Submission time Handle Problem Language Result Execution time Memory
676487 2022-12-31T03:37:31 Z penguin133 Discharging (NOI20_discharging) C++17
100 / 100
 160 ms 33464 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
deque<pair<int, int> > dq;
int f(pair<int, int> x, int y){
	return x.first*y + x.second;
}
long double intersect(int a, int b, int c, int d){
	return (long double)(d-b)/(a-c);
}
void ins(int m , int c){
	while(dq.size() > 1){
		int s = dq.size();
		if(intersect(dq.back().first, dq.back().second,m,c) <= intersect(dq[s-2].first, dq[s-2].second, m,c))dq.pop_back();
		else break;
	}
	dq.push_back(make_pair(m,c));
} 

int query(int x){
	while(dq.size() > 1){
		if(f(dq[0], x) <= f(dq[1], x))dq.pop_front();
		// <= for max dp, >= for min dp
		else break;
	}
	return f(dq[0], x);
}
int dp[1000005], A[1000005];
int Pmax[1000005];
main(){
	ios::sync_with_stdio(0);cin.tie(0);
	int n;cin >> n;
	for(int i=1;i<=n;i++){
		cin >> A[i];Pmax[i] = max(Pmax[i-1], A[i]);
	}
	dq.push_back(make_pair(0, 0));
	for(int i=1;i<=n;i++){
		int x = Pmax[i];
		dp[i] = x*n - query(x);
		ins(i, -dp[i]);
	}
	cout << dp[n];
}

Compilation message

Discharging.cpp:30:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   30 | main(){
      | ^~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 336 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 360 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 360 KB Output is correct
15 Correct 1 ms 336 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 360 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 360 KB Output is correct
15 Correct 1 ms 336 KB Output is correct
16 Correct 137 ms 28756 KB Output is correct
17 Correct 124 ms 29592 KB Output is correct
18 Correct 115 ms 28160 KB Output is correct
19 Correct 130 ms 29520 KB Output is correct
20 Correct 120 ms 29416 KB Output is correct
21 Correct 118 ms 29492 KB Output is correct
22 Correct 128 ms 29048 KB Output is correct
23 Correct 116 ms 30148 KB Output is correct
24 Correct 126 ms 29712 KB Output is correct
25 Correct 123 ms 29984 KB Output is correct
26 Correct 120 ms 30328 KB Output is correct
27 Correct 115 ms 28828 KB Output is correct
28 Correct 128 ms 29652 KB Output is correct
29 Correct 146 ms 29832 KB Output is correct
30 Correct 122 ms 30140 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 132 ms 33372 KB Output is correct
2 Correct 138 ms 33420 KB Output is correct
3 Correct 134 ms 33440 KB Output is correct
4 Correct 125 ms 33396 KB Output is correct
5 Correct 143 ms 33412 KB Output is correct
6 Correct 160 ms 33352 KB Output is correct
7 Correct 136 ms 33464 KB Output is correct
8 Correct 129 ms 33392 KB Output is correct
9 Correct 152 ms 33340 KB Output is correct
10 Correct 131 ms 33452 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 360 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 360 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 1 ms 340 KB Output is correct
33 Correct 1 ms 340 KB Output is correct
34 Correct 1 ms 340 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 1 ms 340 KB Output is correct
37 Correct 1 ms 340 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 340 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 340 KB Output is correct
45 Correct 1 ms 336 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 336 KB Output is correct
49 Correct 1 ms 340 KB Output is correct
50 Correct 1 ms 340 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 1 ms 332 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 332 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 328 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 360 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 344 KB Output is correct
21 Correct 1 ms 340 KB Output is correct
22 Correct 1 ms 340 KB Output is correct
23 Correct 1 ms 340 KB Output is correct
24 Correct 1 ms 340 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 340 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 360 KB Output is correct
29 Correct 1 ms 336 KB Output is correct
30 Correct 137 ms 28756 KB Output is correct
31 Correct 124 ms 29592 KB Output is correct
32 Correct 115 ms 28160 KB Output is correct
33 Correct 130 ms 29520 KB Output is correct
34 Correct 120 ms 29416 KB Output is correct
35 Correct 118 ms 29492 KB Output is correct
36 Correct 128 ms 29048 KB Output is correct
37 Correct 116 ms 30148 KB Output is correct
38 Correct 126 ms 29712 KB Output is correct
39 Correct 123 ms 29984 KB Output is correct
40 Correct 120 ms 30328 KB Output is correct
41 Correct 115 ms 28828 KB Output is correct
42 Correct 128 ms 29652 KB Output is correct
43 Correct 146 ms 29832 KB Output is correct
44 Correct 122 ms 30140 KB Output is correct
45 Correct 132 ms 33372 KB Output is correct
46 Correct 138 ms 33420 KB Output is correct
47 Correct 134 ms 33440 KB Output is correct
48 Correct 125 ms 33396 KB Output is correct
49 Correct 143 ms 33412 KB Output is correct
50 Correct 160 ms 33352 KB Output is correct
51 Correct 136 ms 33464 KB Output is correct
52 Correct 129 ms 33392 KB Output is correct
53 Correct 152 ms 33340 KB Output is correct
54 Correct 131 ms 33452 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 1 ms 340 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 332 KB Output is correct
61 Correct 1 ms 340 KB Output is correct
62 Correct 1 ms 340 KB Output is correct
63 Correct 1 ms 340 KB Output is correct
64 Correct 1 ms 340 KB Output is correct
65 Correct 1 ms 340 KB Output is correct
66 Correct 1 ms 336 KB Output is correct
67 Correct 1 ms 340 KB Output is correct
68 Correct 1 ms 340 KB Output is correct
69 Correct 1 ms 340 KB Output is correct
70 Correct 1 ms 336 KB Output is correct
71 Correct 1 ms 340 KB Output is correct
72 Correct 1 ms 340 KB Output is correct
73 Correct 1 ms 336 KB Output is correct
74 Correct 1 ms 340 KB Output is correct
75 Correct 1 ms 340 KB Output is correct
76 Correct 122 ms 29752 KB Output is correct
77 Correct 125 ms 29740 KB Output is correct
78 Correct 130 ms 29188 KB Output is correct
79 Correct 116 ms 29372 KB Output is correct
80 Correct 113 ms 30056 KB Output is correct
81 Correct 103 ms 29336 KB Output is correct
82 Correct 128 ms 29248 KB Output is correct
83 Correct 121 ms 29644 KB Output is correct
84 Correct 110 ms 29544 KB Output is correct
85 Correct 109 ms 29840 KB Output is correct
86 Correct 108 ms 29216 KB Output is correct
87 Correct 115 ms 29076 KB Output is correct
88 Correct 112 ms 29388 KB Output is correct
89 Correct 118 ms 29260 KB Output is correct
90 Correct 129 ms 29208 KB Output is correct
91 Correct 106 ms 28920 KB Output is correct
92 Correct 125 ms 30244 KB Output is correct
93 Correct 120 ms 29484 KB Output is correct
94 Correct 100 ms 28696 KB Output is correct
95 Correct 116 ms 30052 KB Output is correct
96 Correct 122 ms 29040 KB Output is correct
97 Correct 108 ms 29360 KB Output is correct
98 Correct 106 ms 29544 KB Output is correct
99 Correct 124 ms 29132 KB Output is correct
100 Correct 113 ms 29260 KB Output is correct