답안 #294552

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
294552	2020-09-09T04:28:09 Z	nandonathaniel	Discharging (NOI20_discharging)	C++14	100 / 100	167 ms	25848 KB

Discharging

#include <bits/stdc++.h>
using namespace std;
typedef long long LL;
typedef pair<LL,LL> pii;
const LL MAXN=1000005;
const LL INF=1e15;
vector<pii> line;
pii garis[MAXN];

pii tpot(pii satu,pii dua){
	pii ret;
	ret.first=satu.second-dua.second;
	ret.second=dua.first-satu.first;
	return ret;
}
 
bool great(pii x,pii y){
	if(x.first/x.second<y.first/y.second)return true;
	if(x.first/x.second>y.first/y.second)return false;
	return (x.first%x.second)%y.second<=(y.first%y.second)*x.second;
}

int main(){
    ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
    LL n,a,maxVal=0,last=0;
    cin >> n;
    garis[1]={-1,0};  //-i,dp[i-1]
    for(LL i=1;i<=n;i++){
    	cin >> a;
    	if(a>=maxVal){
    		maxVal=a;
    		for(LL j=last+1;j<=i;j++){
    			LL skg=line.size()-1,prev=line.size()-2;
				while(skg>0 && great(tpot(garis[j],line[skg]),tpot(garis[j],line[prev]))){
					line.pop_back();
					skg--;
					prev--;
				}
				line.push_back(garis[j]);
			}
    		last=i;
		}
		LL x=maxVal;
		LL dpVal;
		if(line.size()==1)dpVal=1LL*x*line[0].first+line[0].second;
		else{
			LL ki=1,ka=line.size()-1;
			dpVal=INF;
			while(ki<=ka){
				LL mid=(ki+ka)/2;
				LL kiri=1LL*x*line[mid-1].first+line[mid-1].second;
				LL kanan=1LL*x*line[mid].first+line[mid].second;
				dpVal=min(dpVal,min(kiri,kanan));
				if(kanan<kiri)ki=mid+1;
				else ka=mid-1;
			}
		}
		dpVal+=(1LL*maxVal*(n+1));
		garis[i+1]={-(i+1),dpVal};
	}
	cout << garis[n+1].second << '\n';
    return 0;
}

Subtask #1
9.0 / 9.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	384 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	1 ms	384 KB	Output is correct
4	Correct	1 ms	384 KB	Output is correct
5	Correct	1 ms	384 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	1 ms	384 KB	Output is correct
9	Correct	0 ms	384 KB	Output is correct
10	Correct	1 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	1 ms	384 KB	Output is correct
14	Correct	1 ms	384 KB	Output is correct

Subtask #2
13.0 / 13.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	384 KB	Output is correct
2	Correct	1 ms	384 KB	Output is correct
3	Correct	1 ms	384 KB	Output is correct
4	Correct	1 ms	384 KB	Output is correct
5	Correct	1 ms	384 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	416 KB	Output is correct
8	Correct	1 ms	384 KB	Output is correct
9	Correct	1 ms	384 KB	Output is correct
10	Correct	1 ms	416 KB	Output is correct
11	Correct	1 ms	384 KB	Output is correct
12	Correct	1 ms	384 KB	Output is correct
13	Correct	1 ms	384 KB	Output is correct
14	Correct	1 ms	384 KB	Output is correct
15	Correct	1 ms	384 KB	Output is correct

Subtask #3
25.0 / 25.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	384 KB	Output is correct
2	Correct	1 ms	384 KB	Output is correct
3	Correct	1 ms	384 KB	Output is correct
4	Correct	1 ms	384 KB	Output is correct
5	Correct	1 ms	384 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	416 KB	Output is correct
8	Correct	1 ms	384 KB	Output is correct
9	Correct	1 ms	384 KB	Output is correct
10	Correct	1 ms	416 KB	Output is correct
11	Correct	1 ms	384 KB	Output is correct
12	Correct	1 ms	384 KB	Output is correct
13	Correct	1 ms	384 KB	Output is correct
14	Correct	1 ms	384 KB	Output is correct
15	Correct	1 ms	384 KB	Output is correct
16	Correct	136 ms	21112 KB	Output is correct
17	Correct	150 ms	21880 KB	Output is correct
18	Correct	132 ms	20344 KB	Output is correct
19	Correct	151 ms	21880 KB	Output is correct
20	Correct	144 ms	21624 KB	Output is correct
21	Correct	145 ms	21752 KB	Output is correct
22	Correct	145 ms	21388 KB	Output is correct
23	Correct	157 ms	22392 KB	Output is correct
24	Correct	151 ms	21880 KB	Output is correct
25	Correct	157 ms	22396 KB	Output is correct
26	Correct	159 ms	22648 KB	Output is correct
27	Correct	137 ms	21112 KB	Output is correct
28	Correct	151 ms	22008 KB	Output is correct
29	Correct	151 ms	22264 KB	Output is correct
30	Correct	158 ms	22396 KB	Output is correct

Subtask #4
11.0 / 11.0

#	결과	실행 시간	메모리	Grader output
1	Correct	120 ms	25752 KB	Output is correct
2	Correct	122 ms	25848 KB	Output is correct
3	Correct	122 ms	25720 KB	Output is correct
4	Correct	121 ms	25720 KB	Output is correct
5	Correct	123 ms	25720 KB	Output is correct
6	Correct	124 ms	25720 KB	Output is correct
7	Correct	123 ms	25720 KB	Output is correct
8	Correct	122 ms	25720 KB	Output is correct
9	Correct	121 ms	25848 KB	Output is correct
10	Correct	121 ms	25720 KB	Output is correct

Subtask #5
14.0 / 14.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	384 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	1 ms	384 KB	Output is correct
4	Correct	1 ms	384 KB	Output is correct
5	Correct	1 ms	384 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	1 ms	384 KB	Output is correct
9	Correct	0 ms	384 KB	Output is correct
10	Correct	1 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	1 ms	384 KB	Output is correct
14	Correct	1 ms	384 KB	Output is correct
15	Correct	1 ms	384 KB	Output is correct
16	Correct	1 ms	384 KB	Output is correct
17	Correct	1 ms	384 KB	Output is correct
18	Correct	1 ms	384 KB	Output is correct
19	Correct	1 ms	384 KB	Output is correct
20	Correct	1 ms	384 KB	Output is correct
21	Correct	1 ms	416 KB	Output is correct
22	Correct	1 ms	384 KB	Output is correct
23	Correct	1 ms	384 KB	Output is correct
24	Correct	1 ms	416 KB	Output is correct
25	Correct	1 ms	384 KB	Output is correct
26	Correct	1 ms	384 KB	Output is correct
27	Correct	1 ms	384 KB	Output is correct
28	Correct	1 ms	384 KB	Output is correct
29	Correct	1 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	1 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	1 ms	384 KB	Output is correct
38	Correct	1 ms	384 KB	Output is correct
39	Correct	1 ms	384 KB	Output is correct
40	Correct	1 ms	384 KB	Output is correct
41	Correct	1 ms	384 KB	Output is correct
42	Correct	1 ms	384 KB	Output is correct
43	Correct	1 ms	384 KB	Output is correct
44	Correct	1 ms	384 KB	Output is correct
45	Correct	1 ms	384 KB	Output is correct
46	Correct	1 ms	384 KB	Output is correct
47	Correct	1 ms	384 KB	Output is correct
48	Correct	1 ms	384 KB	Output is correct
49	Correct	1 ms	384 KB	Output is correct
50	Correct	1 ms	384 KB	Output is correct

Subtask #6
28.0 / 28.0

#	결과	실행 시간	메모리	Grader output
1	Correct	1 ms	384 KB	Output is correct
2	Correct	0 ms	384 KB	Output is correct
3	Correct	1 ms	384 KB	Output is correct
4	Correct	1 ms	384 KB	Output is correct
5	Correct	1 ms	384 KB	Output is correct
6	Correct	1 ms	384 KB	Output is correct
7	Correct	1 ms	384 KB	Output is correct
8	Correct	1 ms	384 KB	Output is correct
9	Correct	0 ms	384 KB	Output is correct
10	Correct	1 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	1 ms	384 KB	Output is correct
14	Correct	1 ms	384 KB	Output is correct
15	Correct	1 ms	384 KB	Output is correct
16	Correct	1 ms	384 KB	Output is correct
17	Correct	1 ms	384 KB	Output is correct
18	Correct	1 ms	384 KB	Output is correct
19	Correct	1 ms	384 KB	Output is correct
20	Correct	1 ms	384 KB	Output is correct
21	Correct	1 ms	416 KB	Output is correct
22	Correct	1 ms	384 KB	Output is correct
23	Correct	1 ms	384 KB	Output is correct
24	Correct	1 ms	416 KB	Output is correct
25	Correct	1 ms	384 KB	Output is correct
26	Correct	1 ms	384 KB	Output is correct
27	Correct	1 ms	384 KB	Output is correct
28	Correct	1 ms	384 KB	Output is correct
29	Correct	1 ms	384 KB	Output is correct
30	Correct	136 ms	21112 KB	Output is correct
31	Correct	150 ms	21880 KB	Output is correct
32	Correct	132 ms	20344 KB	Output is correct
33	Correct	151 ms	21880 KB	Output is correct
34	Correct	144 ms	21624 KB	Output is correct
35	Correct	145 ms	21752 KB	Output is correct
36	Correct	145 ms	21388 KB	Output is correct
37	Correct	157 ms	22392 KB	Output is correct
38	Correct	151 ms	21880 KB	Output is correct
39	Correct	157 ms	22396 KB	Output is correct
40	Correct	159 ms	22648 KB	Output is correct
41	Correct	137 ms	21112 KB	Output is correct
42	Correct	151 ms	22008 KB	Output is correct
43	Correct	151 ms	22264 KB	Output is correct
44	Correct	158 ms	22396 KB	Output is correct
45	Correct	120 ms	25752 KB	Output is correct
46	Correct	122 ms	25848 KB	Output is correct
47	Correct	122 ms	25720 KB	Output is correct
48	Correct	121 ms	25720 KB	Output is correct
49	Correct	123 ms	25720 KB	Output is correct
50	Correct	124 ms	25720 KB	Output is correct
51	Correct	123 ms	25720 KB	Output is correct
52	Correct	122 ms	25720 KB	Output is correct
53	Correct	121 ms	25848 KB	Output is correct
54	Correct	121 ms	25720 KB	Output is correct
55	Correct	1 ms	384 KB	Output is correct
56	Correct	1 ms	384 KB	Output is correct
57	Correct	1 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	1 ms	384 KB	Output is correct
63	Correct	1 ms	384 KB	Output is correct
64	Correct	1 ms	384 KB	Output is correct
65	Correct	1 ms	384 KB	Output is correct
66	Correct	1 ms	384 KB	Output is correct
67	Correct	1 ms	384 KB	Output is correct
68	Correct	1 ms	384 KB	Output is correct
69	Correct	1 ms	384 KB	Output is correct
70	Correct	1 ms	384 KB	Output is correct
71	Correct	1 ms	384 KB	Output is correct
72	Correct	1 ms	384 KB	Output is correct
73	Correct	1 ms	384 KB	Output is correct
74	Correct	1 ms	384 KB	Output is correct
75	Correct	1 ms	384 KB	Output is correct
76	Correct	146 ms	22008 KB	Output is correct
77	Correct	144 ms	22008 KB	Output is correct
78	Correct	135 ms	21492 KB	Output is correct
79	Correct	148 ms	21624 KB	Output is correct
80	Correct	167 ms	22264 KB	Output is correct
81	Correct	140 ms	21496 KB	Output is correct
82	Correct	142 ms	21496 KB	Output is correct
83	Correct	144 ms	22136 KB	Output is correct
84	Correct	145 ms	21836 KB	Output is correct
85	Correct	150 ms	22200 KB	Output is correct
86	Correct	145 ms	21536 KB	Output is correct
87	Correct	136 ms	21344 KB	Output is correct
88	Correct	154 ms	21752 KB	Output is correct
89	Correct	147 ms	21624 KB	Output is correct
90	Correct	136 ms	21496 KB	Output is correct
91	Correct	135 ms	21240 KB	Output is correct
92	Correct	165 ms	22520 KB	Output is correct
93	Correct	147 ms	21756 KB	Output is correct
94	Correct	135 ms	20880 KB	Output is correct
95	Correct	144 ms	22368 KB	Output is correct
96	Correct	139 ms	21324 KB	Output is correct
97	Correct	140 ms	21564 KB	Output is correct
98	Correct	139 ms	21752 KB	Output is correct
99	Correct	142 ms	21460 KB	Output is correct
100	Correct	140 ms	21496 KB	Output is correct

답안 #294552

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