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Submission #255286

# Submission time Handle Problem Language Result Execution time Memory
255286 2020-07-31T17:06:09 Z model_code Discharging (NOI20_discharging) C++17
100 / 100
 137 ms 16120 KB 
#include<bits/stdc++.h>
using namespace std;
typedef tuple<long double, long long,long long>  tp;
bool cmp(tp T1, tp T2, long long grad, long long constant){
	long double m1, c1, m2, c2;
	long double temp;
	tie(temp,m1,c1) = T1;
	tie(temp,m2,c2) = T2;
	return (constant - c2)*(m1 - grad) < (constant - c1)*(m2 - grad);
}
long double intersect(tp T1, tp T2){
	long double m1, c1, m2, c2;
	long double temp;
	tie(temp,m1,c1) = T1;
	tie(temp,m2,c2) = T2;
	return (long double)(c1-c2)/(long double)(m2-m1);
}
long long solve(int n, vector<long long> T){
	deque<tp> convexHull; //intersect, gradient, constant
	long long curMax = 0, curDpVal = 0;
	for(int i = 1; i <= n; i++){
		long long curT = T[i];
		if(curT >= curMax){
			long long grad = -i+1, constant = curDpVal;
			while(convexHull.size() >= 2 && cmp(convexHull[convexHull.size()-2],convexHull.back(),grad,constant)){
				convexHull.pop_back();
			}
			tp newLine = make_tuple(2e9,grad,constant);
			if(i!=1)get<0>(convexHull.back()) = intersect(convexHull.back(),newLine);
			convexHull.push_back(newLine);
			curMax = curT;
			while(get<0>(convexHull.front())<(long double)curMax)convexHull.pop_front();
			long double temp;
			tie(temp, grad, constant) = convexHull.front();
			curDpVal = n*curMax + grad * curMax + constant;
		}
	}
	return curDpVal;
}
inline long long readInt() {
    long long x = 0;
    char ch = getchar();
    while (ch < '0' || ch > '9') ch = getchar();
    while (ch >= '0' && ch <= '9'){
		x = (x << 3) + (x << 1) + ch - '0';
		ch = getchar();
	}
    return x;
}

int main(){
	int n;
	n = readInt();
	vector<long long> T(n+1);
	for(int i = 1; i <= n; i++) T[i] = readInt();
	long long answer = solve(n, T);
	cout << answer;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 0 ms 256 KB Output is correct
7 Correct 0 ms 256 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 0 ms 256 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 1 ms 384 KB Output is correct
8 Correct 0 ms 384 KB Output is correct
9 Correct 1 ms 384 KB Output is correct
10 Correct 0 ms 384 KB Output is correct
11 Correct 1 ms 384 KB Output is correct
12 Correct 1 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 1 ms 384 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 102 ms 16120 KB Output is correct
17 Correct 111 ms 16120 KB Output is correct
18 Correct 94 ms 16008 KB Output is correct
19 Correct 113 ms 15992 KB Output is correct
20 Correct 106 ms 15992 KB Output is correct
21 Correct 119 ms 16012 KB Output is correct
22 Correct 105 ms 15992 KB Output is correct
23 Correct 118 ms 15992 KB Output is correct
24 Correct 112 ms 15992 KB Output is correct
25 Correct 118 ms 15992 KB Output is correct
26 Correct 120 ms 15992 KB Output is correct
27 Correct 101 ms 15992 KB Output is correct
28 Correct 113 ms 16012 KB Output is correct
29 Correct 119 ms 16004 KB Output is correct
30 Correct 125 ms 16004 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 126 ms 16012 KB Output is correct
2 Correct 129 ms 15992 KB Output is correct
3 Correct 130 ms 15968 KB Output is correct
4 Correct 132 ms 15992 KB Output is correct
5 Correct 137 ms 15992 KB Output is correct
6 Correct 135 ms 16008 KB Output is correct
7 Correct 136 ms 15928 KB Output is correct
8 Correct 129 ms 16008 KB Output is correct
9 Correct 132 ms 16004 KB Output is correct
10 Correct 127 ms 15992 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 0 ms 256 KB Output is correct
7 Correct 0 ms 256 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 0 ms 256 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 0 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 0 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 0 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 0 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 0 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 1 ms 384 KB Output is correct
32 Correct 0 ms 384 KB Output is correct
33 Correct 1 ms 384 KB Output is correct
34 Correct 1 ms 384 KB Output is correct
35 Correct 1 ms 384 KB Output is correct
36 Correct 1 ms 384 KB Output is correct
37 Correct 0 ms 384 KB Output is correct
38 Correct 1 ms 384 KB Output is correct
39 Correct 0 ms 384 KB Output is correct
40 Correct 1 ms 384 KB Output is correct
41 Correct 0 ms 384 KB Output is correct
42 Correct 1 ms 360 KB Output is correct
43 Correct 0 ms 384 KB Output is correct
44 Correct 0 ms 384 KB Output is correct
45 Correct 1 ms 384 KB Output is correct
46 Correct 0 ms 384 KB Output is correct
47 Correct 1 ms 384 KB Output is correct
48 Correct 0 ms 384 KB Output is correct
49 Correct 0 ms 384 KB Output is correct
50 Correct 0 ms 384 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 256 KB Output is correct
2 Correct 0 ms 256 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 256 KB Output is correct
6 Correct 0 ms 256 KB Output is correct
7 Correct 0 ms 256 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 0 ms 256 KB Output is correct
10 Correct 0 ms 256 KB Output is correct
11 Correct 0 ms 256 KB Output is correct
12 Correct 0 ms 256 KB Output is correct
13 Correct 0 ms 256 KB Output is correct
14 Correct 0 ms 256 KB Output is correct
15 Correct 0 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 0 ms 384 KB Output is correct
18 Correct 0 ms 384 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 0 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 0 ms 384 KB Output is correct
23 Correct 1 ms 384 KB Output is correct
24 Correct 0 ms 384 KB Output is correct
25 Correct 1 ms 384 KB Output is correct
26 Correct 1 ms 384 KB Output is correct
27 Correct 0 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 0 ms 384 KB Output is correct
30 Correct 102 ms 16120 KB Output is correct
31 Correct 111 ms 16120 KB Output is correct
32 Correct 94 ms 16008 KB Output is correct
33 Correct 113 ms 15992 KB Output is correct
34 Correct 106 ms 15992 KB Output is correct
35 Correct 119 ms 16012 KB Output is correct
36 Correct 105 ms 15992 KB Output is correct
37 Correct 118 ms 15992 KB Output is correct
38 Correct 112 ms 15992 KB Output is correct
39 Correct 118 ms 15992 KB Output is correct
40 Correct 120 ms 15992 KB Output is correct
41 Correct 101 ms 15992 KB Output is correct
42 Correct 113 ms 16012 KB Output is correct
43 Correct 119 ms 16004 KB Output is correct
44 Correct 125 ms 16004 KB Output is correct
45 Correct 126 ms 16012 KB Output is correct
46 Correct 129 ms 15992 KB Output is correct
47 Correct 130 ms 15968 KB Output is correct
48 Correct 132 ms 15992 KB Output is correct
49 Correct 137 ms 15992 KB Output is correct
50 Correct 135 ms 16008 KB Output is correct
51 Correct 136 ms 15928 KB Output is correct
52 Correct 129 ms 16008 KB Output is correct
53 Correct 132 ms 16004 KB Output is correct
54 Correct 127 ms 15992 KB Output is correct
55 Correct 1 ms 384 KB Output is correct
56 Correct 1 ms 384 KB Output is correct
57 Correct 0 ms 384 KB Output is correct
58 Correct 1 ms 384 KB Output is correct
59 Correct 1 ms 384 KB Output is correct
60 Correct 1 ms 384 KB Output is correct
61 Correct 1 ms 384 KB Output is correct
62 Correct 0 ms 384 KB Output is correct
63 Correct 1 ms 384 KB Output is correct
64 Correct 0 ms 384 KB Output is correct
65 Correct 1 ms 384 KB Output is correct
66 Correct 0 ms 384 KB Output is correct
67 Correct 1 ms 360 KB Output is correct
68 Correct 0 ms 384 KB Output is correct
69 Correct 0 ms 384 KB Output is correct
70 Correct 1 ms 384 KB Output is correct
71 Correct 0 ms 384 KB Output is correct
72 Correct 1 ms 384 KB Output is correct
73 Correct 0 ms 384 KB Output is correct
74 Correct 0 ms 384 KB Output is correct
75 Correct 0 ms 384 KB Output is correct
76 Correct 88 ms 15992 KB Output is correct
77 Correct 87 ms 16008 KB Output is correct
78 Correct 78 ms 15992 KB Output is correct
79 Correct 86 ms 16008 KB Output is correct
80 Correct 88 ms 15992 KB Output is correct
81 Correct 93 ms 16012 KB Output is correct
82 Correct 103 ms 15992 KB Output is correct
83 Correct 90 ms 16020 KB Output is correct
84 Correct 87 ms 15996 KB Output is correct
85 Correct 82 ms 16000 KB Output is correct
86 Correct 84 ms 16008 KB Output is correct
87 Correct 82 ms 15992 KB Output is correct
88 Correct 79 ms 15992 KB Output is correct
89 Correct 80 ms 16008 KB Output is correct
90 Correct 83 ms 15928 KB Output is correct
91 Correct 76 ms 15992 KB Output is correct
92 Correct 126 ms 16040 KB Output is correct
93 Correct 119 ms 15992 KB Output is correct
94 Correct 76 ms 16008 KB Output is correct
95 Correct 97 ms 15992 KB Output is correct
96 Correct 80 ms 15992 KB Output is correct
97 Correct 85 ms 15992 KB Output is correct
98 Correct 83 ms 15992 KB Output is correct
99 Correct 79 ms 16004 KB Output is correct
100 Correct 81 ms 15992 KB Output is correct