답안 #255286

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
255286	2020-07-31T17:06:09 Z	model_code	Discharging (NOI20_discharging)	C++17	100 / 100	137 ms	16120 KB

Discharging

#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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

#	결과	실행 시간	메모리	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

답안 #255286

Compilation message

Subtask #1 9.0 / 9.0

Subtask #2 13.0 / 13.0

Subtask #3 25.0 / 25.0

Subtask #4 11.0 / 11.0

Subtask #5 14.0 / 14.0

Subtask #6 28.0 / 28.0

Subtask #1
9.0 / 9.0

Subtask #2
13.0 / 13.0

Subtask #3
25.0 / 25.0

Subtask #4
11.0 / 11.0

Subtask #5
14.0 / 14.0

Subtask #6
28.0 / 28.0