Submission #751262

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
751262	2023-05-31T10:04:26 Z	dsyz	Discharging (NOI20_discharging)	C++17	100 / 100	138 ms	33596 KB

Discharging

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define MAXN (1000005)
struct ConvexHull {
	deque<pair<ll,ll> > dq;
	ll f(pair<ll,ll> line,ll x){
		return line.first * x + line.second;
	}
	ll query(ll x){
		while(dq.size() > 1){
			if(f(dq[0],x) < f(dq[1],x)){
				dq.pop_front();
			}else{
				break;
			}
		}
		return f(dq[0],x);
	}
	long double Intersect(ll a,ll b,ll c,ll d){
		return (long double)(d - b) / (a - c);
	}
	long double intersect(pair<ll,ll> p1,pair<ll,ll> p2){
		return Intersect(p1.first,p1.second,p2.first,p2.second);
	}
	void ins(ll m,ll c){
		pair<ll,ll> line = make_pair(m,c);
		while(dq.size() > 1){
			ll s = dq.size();
			if(intersect(dq[s - 1],line) <= intersect(dq[s - 2],line)){
				dq.pop_back();
			}else{
				break;
			}
		}
		dq.push_back(line);
	}
} CH; //returns maximum y
int main() {
	ios_base::sync_with_stdio(false);cin.tie(0);
	ll N;
	cin>>N;
	ll T[N + 1];
	for(ll i = 1;i <= N;i++){
		cin>>T[i];
	}
	T[0] = 0;
	ll premaxT[N + 1];
	premaxT[0] = 0;
	for(ll i = 1;i <= N;i++){
		premaxT[i] = max(premaxT[i - 1],T[i]);
	}
	ll dp[N + 1];
	dp[0] = 0;
	CH.dq.clear();
	CH.ins(-N,0);
	for(ll i = 1;i <= N;i++){
		if(premaxT[i - 1] < T[i]){
			dp[i] = -CH.query(T[i]);
			ll ptr = i;
			while(ptr < N && T[ptr] <= T[i]){
				ptr++;
			}
			CH.ins(ptr - N - 1,-dp[i]);
		}else{
			dp[i] = dp[i - 1];
		}
	}
	cout<<dp[N]<<'\n';
}

Subtask #1
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	1 ms	320 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	1 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	1 ms	320 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	1 ms	212 KB	Output is correct
13	Correct	1 ms	212 KB	Output is correct
14	Correct	1 ms	212 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	324 KB	Output is correct
3	Correct	1 ms	324 KB	Output is correct
4	Correct	1 ms	324 KB	Output is correct
5	Correct	1 ms	340 KB	Output is correct
6	Correct	1 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	424 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	340 KB	Output is correct
15	Correct	1 ms	340 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	324 KB	Output is correct
3	Correct	1 ms	324 KB	Output is correct
4	Correct	1 ms	324 KB	Output is correct
5	Correct	1 ms	340 KB	Output is correct
6	Correct	1 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	424 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	340 KB	Output is correct
15	Correct	1 ms	340 KB	Output is correct
16	Correct	100 ms	28840 KB	Output is correct
17	Correct	99 ms	29624 KB	Output is correct
18	Correct	81 ms	28096 KB	Output is correct
19	Correct	93 ms	29488 KB	Output is correct
20	Correct	106 ms	29392 KB	Output is correct
21	Correct	93 ms	29496 KB	Output is correct
22	Correct	97 ms	29104 KB	Output is correct
23	Correct	114 ms	30228 KB	Output is correct
24	Correct	99 ms	29616 KB	Output is correct
25	Correct	110 ms	30012 KB	Output is correct
26	Correct	116 ms	30384 KB	Output is correct
27	Correct	100 ms	28856 KB	Output is correct
28	Correct	103 ms	29644 KB	Output is correct
29	Correct	106 ms	29872 KB	Output is correct
30	Correct	105 ms	30128 KB	Output is correct

Subtask #4
11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	104 ms	33580 KB	Output is correct
2	Correct	120 ms	33336 KB	Output is correct
3	Correct	138 ms	33416 KB	Output is correct
4	Correct	103 ms	33344 KB	Output is correct
5	Correct	113 ms	33464 KB	Output is correct
6	Correct	128 ms	33460 KB	Output is correct
7	Correct	106 ms	33464 KB	Output is correct
8	Correct	109 ms	33340 KB	Output is correct
9	Correct	130 ms	33592 KB	Output is correct
10	Correct	116 ms	33596 KB	Output is correct

Subtask #5
14.0 / 14.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	1 ms	320 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	1 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	1 ms	320 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	1 ms	212 KB	Output is correct
13	Correct	1 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	1 ms	340 KB	Output is correct
16	Correct	1 ms	324 KB	Output is correct
17	Correct	1 ms	324 KB	Output is correct
18	Correct	1 ms	324 KB	Output is correct
19	Correct	1 ms	340 KB	Output is correct
20	Correct	1 ms	340 KB	Output is correct
21	Correct	1 ms	340 KB	Output is correct
22	Correct	1 ms	336 KB	Output is correct
23	Correct	1 ms	340 KB	Output is correct
24	Correct	1 ms	424 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	340 KB	Output is correct
29	Correct	1 ms	340 KB	Output is correct
30	Correct	0 ms	340 KB	Output is correct
31	Correct	1 ms	328 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	320 KB	Output is correct
35	Correct	1 ms	340 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	320 KB	Output is correct
40	Correct	1 ms	340 KB	Output is correct
41	Correct	1 ms	328 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	340 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	340 KB	Output is correct
49	Correct	1 ms	304 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	212 KB	Output is correct
2	Correct	1 ms	212 KB	Output is correct
3	Correct	1 ms	212 KB	Output is correct
4	Correct	1 ms	320 KB	Output is correct
5	Correct	1 ms	212 KB	Output is correct
6	Correct	1 ms	212 KB	Output is correct
7	Correct	1 ms	212 KB	Output is correct
8	Correct	1 ms	212 KB	Output is correct
9	Correct	1 ms	320 KB	Output is correct
10	Correct	1 ms	212 KB	Output is correct
11	Correct	1 ms	212 KB	Output is correct
12	Correct	1 ms	212 KB	Output is correct
13	Correct	1 ms	212 KB	Output is correct
14	Correct	1 ms	212 KB	Output is correct
15	Correct	1 ms	340 KB	Output is correct
16	Correct	1 ms	324 KB	Output is correct
17	Correct	1 ms	324 KB	Output is correct
18	Correct	1 ms	324 KB	Output is correct
19	Correct	1 ms	340 KB	Output is correct
20	Correct	1 ms	340 KB	Output is correct
21	Correct	1 ms	340 KB	Output is correct
22	Correct	1 ms	336 KB	Output is correct
23	Correct	1 ms	340 KB	Output is correct
24	Correct	1 ms	424 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	340 KB	Output is correct
29	Correct	1 ms	340 KB	Output is correct
30	Correct	100 ms	28840 KB	Output is correct
31	Correct	99 ms	29624 KB	Output is correct
32	Correct	81 ms	28096 KB	Output is correct
33	Correct	93 ms	29488 KB	Output is correct
34	Correct	106 ms	29392 KB	Output is correct
35	Correct	93 ms	29496 KB	Output is correct
36	Correct	97 ms	29104 KB	Output is correct
37	Correct	114 ms	30228 KB	Output is correct
38	Correct	99 ms	29616 KB	Output is correct
39	Correct	110 ms	30012 KB	Output is correct
40	Correct	116 ms	30384 KB	Output is correct
41	Correct	100 ms	28856 KB	Output is correct
42	Correct	103 ms	29644 KB	Output is correct
43	Correct	106 ms	29872 KB	Output is correct
44	Correct	105 ms	30128 KB	Output is correct
45	Correct	104 ms	33580 KB	Output is correct
46	Correct	120 ms	33336 KB	Output is correct
47	Correct	138 ms	33416 KB	Output is correct
48	Correct	103 ms	33344 KB	Output is correct
49	Correct	113 ms	33464 KB	Output is correct
50	Correct	128 ms	33460 KB	Output is correct
51	Correct	106 ms	33464 KB	Output is correct
52	Correct	109 ms	33340 KB	Output is correct
53	Correct	130 ms	33592 KB	Output is correct
54	Correct	116 ms	33596 KB	Output is correct
55	Correct	0 ms	340 KB	Output is correct
56	Correct	1 ms	328 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	320 KB	Output is correct
60	Correct	1 ms	340 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	320 KB	Output is correct
65	Correct	1 ms	340 KB	Output is correct
66	Correct	1 ms	328 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	340 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	340 KB	Output is correct
74	Correct	1 ms	304 KB	Output is correct
75	Correct	1 ms	340 KB	Output is correct
76	Correct	95 ms	29752 KB	Output is correct
77	Correct	107 ms	29744 KB	Output is correct
78	Correct	89 ms	29112 KB	Output is correct
79	Correct	87 ms	29356 KB	Output is correct
80	Correct	107 ms	30004 KB	Output is correct
81	Correct	80 ms	29232 KB	Output is correct
82	Correct	86 ms	29240 KB	Output is correct
83	Correct	96 ms	29740 KB	Output is correct
84	Correct	86 ms	29504 KB	Output is correct
85	Correct	94 ms	29752 KB	Output is correct
86	Correct	113 ms	29220 KB	Output is correct
87	Correct	83 ms	29116 KB	Output is correct
88	Correct	87 ms	29492 KB	Output is correct
89	Correct	86 ms	29244 KB	Output is correct
90	Correct	81 ms	29236 KB	Output is correct
91	Correct	84 ms	28976 KB	Output is correct
92	Correct	113 ms	30384 KB	Output is correct
93	Correct	100 ms	29500 KB	Output is correct
94	Correct	95 ms	28732 KB	Output is correct
95	Correct	91 ms	30132 KB	Output is correct
96	Correct	95 ms	29228 KB	Output is correct
97	Correct	90 ms	29388 KB	Output is correct
98	Correct	85 ms	29496 KB	Output is correct
99	Correct	81 ms	29132 KB	Output is correct
100	Correct	84 ms	29244 KB	Output is correct

Submission #751262

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