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Submission #294552

# Submission time Handle Problem Language Result Execution time Memory
294552 2020-09-09T04:28:09 Z nandonathaniel Discharging (NOI20_discharging) C++14
100 / 100
 167 ms 25848 KB 
#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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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

# Verdict Execution time Memory 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