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Submission #966621

# Submission time Handle Problem Language Result Execution time Memory
966621 2024-04-20T06:53:51 Z Trisanu_Das Discharging (NOI20_discharging) C++17
100 / 100
 103 ms 25808 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
 
const int N = 1e6 + 11;
int a[N], dp[N];
int m[N], c[N], l, r;
 
int floor_div(int a, int b){
	return a / b - (a % b != 0 && a < 0);
}
 
int interX(int m1, int c1, int m2, int c2){
	return floor_div(c2 - c1, m1 - m2);
}
 
void add(int _m, int _c){
	while(r - l >= 2 && interX(m[r - 2], c[r - 2], _m, _c) <= interX(m[r - 2], c[r - 2], m[r - 1], c[r - 1])) r--;
	m[r] = _m, c[r] = _c; r++;
}
 
int qry(int x){
	while(r - l >= 2 && m[l] * x + c[l] >= m[l + 1] * x + c[l + 1]) l++;
	return m[l] * x + c[l];
}
 
int32_t main(){
	cin.tie(0); cout.tie(0)->sync_with_stdio(false);
	int n; cin >> n;
	for(int i = 0; i < n; i++) cin >> a[i];
	for(int i = 1; i < n; i++) a[i] = max(a[i - 1], a[i]);
	memset(dp, 0x3f, sizeof(dp)); dp[0] = 0;
	for(int i = 0; i < n; i++){
		add(-i, dp[i]);
		dp[i + 1] = a[i] * n + qry(a[i]); 
	}
	cout << dp[n] << endl;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12644 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 2 ms 12636 KB Output is correct
6 Correct 2 ms 12632 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 3 ms 12636 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12636 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 2 ms 12636 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12636 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 2 ms 12636 KB Output is correct
6 Correct 2 ms 12636 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12632 KB Output is correct
9 Correct 2 ms 12888 KB Output is correct
10 Correct 2 ms 12632 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12776 KB Output is correct
13 Correct 2 ms 12636 KB Output is correct
14 Correct 3 ms 12636 KB Output is correct
15 Correct 2 ms 12784 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12636 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 2 ms 12636 KB Output is correct
6 Correct 2 ms 12636 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12632 KB Output is correct
9 Correct 2 ms 12888 KB Output is correct
10 Correct 2 ms 12632 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12776 KB Output is correct
13 Correct 2 ms 12636 KB Output is correct
14 Correct 3 ms 12636 KB Output is correct
15 Correct 2 ms 12784 KB Output is correct
16 Correct 83 ms 19024 KB Output is correct
17 Correct 94 ms 25136 KB Output is correct
18 Correct 77 ms 23628 KB Output is correct
19 Correct 91 ms 24916 KB Output is correct
20 Correct 90 ms 24916 KB Output is correct
21 Correct 89 ms 25024 KB Output is correct
22 Correct 88 ms 24640 KB Output is correct
23 Correct 99 ms 25704 KB Output is correct
24 Correct 92 ms 24904 KB Output is correct
25 Correct 98 ms 25288 KB Output is correct
26 Correct 98 ms 25808 KB Output is correct
27 Correct 87 ms 24264 KB Output is correct
28 Correct 99 ms 25020 KB Output is correct
29 Correct 102 ms 25352 KB Output is correct
30 Correct 95 ms 25412 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 96 ms 19144 KB Output is correct
2 Correct 102 ms 19292 KB Output is correct
3 Correct 96 ms 19024 KB Output is correct
4 Correct 94 ms 19136 KB Output is correct
5 Correct 94 ms 19148 KB Output is correct
6 Correct 103 ms 19284 KB Output is correct
7 Correct 96 ms 19256 KB Output is correct
8 Correct 95 ms 19024 KB Output is correct
9 Correct 95 ms 19024 KB Output is correct
10 Correct 95 ms 19396 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12644 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 2 ms 12636 KB Output is correct
6 Correct 2 ms 12632 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 3 ms 12636 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12636 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 2 ms 12636 KB Output is correct
15 Correct 2 ms 12636 KB Output is correct
16 Correct 2 ms 12636 KB Output is correct
17 Correct 2 ms 12636 KB Output is correct
18 Correct 2 ms 12636 KB Output is correct
19 Correct 2 ms 12636 KB Output is correct
20 Correct 2 ms 12636 KB Output is correct
21 Correct 2 ms 12636 KB Output is correct
22 Correct 2 ms 12632 KB Output is correct
23 Correct 2 ms 12888 KB Output is correct
24 Correct 2 ms 12632 KB Output is correct
25 Correct 2 ms 12636 KB Output is correct
26 Correct 2 ms 12776 KB Output is correct
27 Correct 2 ms 12636 KB Output is correct
28 Correct 3 ms 12636 KB Output is correct
29 Correct 2 ms 12784 KB Output is correct
30 Correct 2 ms 12636 KB Output is correct
31 Correct 2 ms 12636 KB Output is correct
32 Correct 2 ms 12636 KB Output is correct
33 Correct 2 ms 12636 KB Output is correct
34 Correct 2 ms 12636 KB Output is correct
35 Correct 2 ms 12636 KB Output is correct
36 Correct 2 ms 12632 KB Output is correct
37 Correct 2 ms 12636 KB Output is correct
38 Correct 2 ms 12636 KB Output is correct
39 Correct 2 ms 12636 KB Output is correct
40 Correct 2 ms 12636 KB Output is correct
41 Correct 2 ms 12636 KB Output is correct
42 Correct 2 ms 12636 KB Output is correct
43 Correct 2 ms 12636 KB Output is correct
44 Correct 2 ms 12636 KB Output is correct
45 Correct 3 ms 12772 KB Output is correct
46 Correct 2 ms 12636 KB Output is correct
47 Correct 2 ms 12636 KB Output is correct
48 Correct 2 ms 12832 KB Output is correct
49 Correct 2 ms 12636 KB Output is correct
50 Correct 2 ms 12776 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 12636 KB Output is correct
2 Correct 2 ms 12636 KB Output is correct
3 Correct 2 ms 12644 KB Output is correct
4 Correct 2 ms 12636 KB Output is correct
5 Correct 2 ms 12636 KB Output is correct
6 Correct 2 ms 12632 KB Output is correct
7 Correct 2 ms 12636 KB Output is correct
8 Correct 2 ms 12636 KB Output is correct
9 Correct 3 ms 12636 KB Output is correct
10 Correct 2 ms 12636 KB Output is correct
11 Correct 2 ms 12636 KB Output is correct
12 Correct 2 ms 12636 KB Output is correct
13 Correct 2 ms 12892 KB Output is correct
14 Correct 2 ms 12636 KB Output is correct
15 Correct 2 ms 12636 KB Output is correct
16 Correct 2 ms 12636 KB Output is correct
17 Correct 2 ms 12636 KB Output is correct
18 Correct 2 ms 12636 KB Output is correct
19 Correct 2 ms 12636 KB Output is correct
20 Correct 2 ms 12636 KB Output is correct
21 Correct 2 ms 12636 KB Output is correct
22 Correct 2 ms 12632 KB Output is correct
23 Correct 2 ms 12888 KB Output is correct
24 Correct 2 ms 12632 KB Output is correct
25 Correct 2 ms 12636 KB Output is correct
26 Correct 2 ms 12776 KB Output is correct
27 Correct 2 ms 12636 KB Output is correct
28 Correct 3 ms 12636 KB Output is correct
29 Correct 2 ms 12784 KB Output is correct
30 Correct 83 ms 19024 KB Output is correct
31 Correct 94 ms 25136 KB Output is correct
32 Correct 77 ms 23628 KB Output is correct
33 Correct 91 ms 24916 KB Output is correct
34 Correct 90 ms 24916 KB Output is correct
35 Correct 89 ms 25024 KB Output is correct
36 Correct 88 ms 24640 KB Output is correct
37 Correct 99 ms 25704 KB Output is correct
38 Correct 92 ms 24904 KB Output is correct
39 Correct 98 ms 25288 KB Output is correct
40 Correct 98 ms 25808 KB Output is correct
41 Correct 87 ms 24264 KB Output is correct
42 Correct 99 ms 25020 KB Output is correct
43 Correct 102 ms 25352 KB Output is correct
44 Correct 95 ms 25412 KB Output is correct
45 Correct 96 ms 19144 KB Output is correct
46 Correct 102 ms 19292 KB Output is correct
47 Correct 96 ms 19024 KB Output is correct
48 Correct 94 ms 19136 KB Output is correct
49 Correct 94 ms 19148 KB Output is correct
50 Correct 103 ms 19284 KB Output is correct
51 Correct 96 ms 19256 KB Output is correct
52 Correct 95 ms 19024 KB Output is correct
53 Correct 95 ms 19024 KB Output is correct
54 Correct 95 ms 19396 KB Output is correct
55 Correct 2 ms 12636 KB Output is correct
56 Correct 2 ms 12636 KB Output is correct
57 Correct 2 ms 12636 KB Output is correct
58 Correct 2 ms 12636 KB Output is correct
59 Correct 2 ms 12636 KB Output is correct
60 Correct 2 ms 12636 KB Output is correct
61 Correct 2 ms 12632 KB Output is correct
62 Correct 2 ms 12636 KB Output is correct
63 Correct 2 ms 12636 KB Output is correct
64 Correct 2 ms 12636 KB Output is correct
65 Correct 2 ms 12636 KB Output is correct
66 Correct 2 ms 12636 KB Output is correct
67 Correct 2 ms 12636 KB Output is correct
68 Correct 2 ms 12636 KB Output is correct
69 Correct 2 ms 12636 KB Output is correct
70 Correct 3 ms 12772 KB Output is correct
71 Correct 2 ms 12636 KB Output is correct
72 Correct 2 ms 12636 KB Output is correct
73 Correct 2 ms 12832 KB Output is correct
74 Correct 2 ms 12636 KB Output is correct
75 Correct 2 ms 12776 KB Output is correct
76 Correct 89 ms 25172 KB Output is correct
77 Correct 89 ms 25172 KB Output is correct
78 Correct 102 ms 24656 KB Output is correct
79 Correct 88 ms 25016 KB Output is correct
80 Correct 93 ms 25428 KB Output is correct
81 Correct 84 ms 24660 KB Output is correct
82 Correct 84 ms 24756 KB Output is correct
83 Correct 89 ms 25172 KB Output is correct
84 Correct 93 ms 24904 KB Output is correct
85 Correct 94 ms 25540 KB Output is correct
86 Correct 83 ms 24556 KB Output is correct
87 Correct 85 ms 24404 KB Output is correct
88 Correct 88 ms 24912 KB Output is correct
89 Correct 87 ms 24912 KB Output is correct
90 Correct 88 ms 24656 KB Output is correct
91 Correct 87 ms 24400 KB Output is correct
92 Correct 100 ms 25804 KB Output is correct
93 Correct 90 ms 25028 KB Output is correct
94 Correct 85 ms 24132 KB Output is correct
95 Correct 93 ms 25564 KB Output is correct
96 Correct 84 ms 24400 KB Output is correct
97 Correct 92 ms 24660 KB Output is correct
98 Correct 86 ms 24920 KB Output is correct
99 Correct 86 ms 24660 KB Output is correct
100 Correct 90 ms 24776 KB Output is correct