oj.uz

Submission #285468

# Submission time Handle Problem Language Result Execution time Memory
285468 2020-08-29T05:40:40 Z arnold518 Discharging (NOI20_discharging) C++14
100 / 100
 175 ms 22500 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;

const int MAXN = 1e6;
const ll INF = 1e15;

int N;
ll dp[MAXN+10], A[MAXN+10];

struct Line { ll a, b; };
double cross(Line p, Line q) { return (double)(q.b-p.b)/(p.a-q.a); }

struct CHT
{
	int pos=0;
	vector<Line> S;
	void push(Line p)
	{
		while(S.size()>1 && cross(S[S.size()-1], S[S.size()-2])>=cross(S[S.size()-1], p)) S.pop_back();
		S.push_back(p);
	}
	ll query(ll x)
	{
		if(pos>=S.size()) pos=S.size()-1;
		else while(pos+1<S.size() && cross(S[pos], S[pos+1])<=x) pos++;
		return S[pos].a*x+S[pos].b;
	}
}cht;

int main()
{
	scanf("%d", &N);
	for(int i=1; i<=N; i++) scanf("%lld", &A[i]);
	reverse(A+1, A+N+1);
	
	A[0]=INF;

	vector<int> S;
	S.push_back(0);
	for(int i=1; i<=N; i++)
	{
		while(!S.empty() && A[S.back()]<=A[i]) S.pop_back();
		S.push_back(i);
	}

	for(int i=1; i<S.size(); i++) 
	{
		cht.push({A[S[i]], dp[i-1]});
		dp[i]=cht.query(S[i]);
	}
	printf("%lld\n", dp[S.size()-1]);
}

Compilation message

Discharging.cpp: In member function 'll CHT::query(ll)':
Discharging.cpp:28:9: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Line>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   28 |   if(pos>=S.size()) pos=S.size()-1;
      |      ~~~^~~~~~~~~~
Discharging.cpp:29:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<Line>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   29 |   else while(pos+1<S.size() && cross(S[pos], S[pos+1])<=x) pos++;
      |              ~~~~~^~~~~~~~~
Discharging.cpp: In function 'int main()':
Discharging.cpp:50:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   50 |  for(int i=1; i<S.size(); i++)
      |               ~^~~~~~~~~
Discharging.cpp:36:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   36 |  scanf("%d", &N);
      |  ~~~~~^~~~~~~~~~
Discharging.cpp:37:31: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   37 |  for(int i=1; i<=N; i++) scanf("%lld", &A[i]);
      |                          ~~~~~^~~~~~~~~~~~~~~

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 384 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 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 384 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 384 KB Output is correct
11 Correct 1 ms 308 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 384 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 384 KB Output is correct
11 Correct 1 ms 308 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 130 ms 12904 KB Output is correct
17 Correct 145 ms 19428 KB Output is correct
18 Correct 122 ms 15976 KB Output is correct
19 Correct 139 ms 19428 KB Output is correct
20 Correct 143 ms 19816 KB Output is correct
21 Correct 149 ms 19432 KB Output is correct
22 Correct 132 ms 18408 KB Output is correct
23 Correct 149 ms 21744 KB Output is correct
24 Correct 149 ms 20576 KB Output is correct
25 Correct 149 ms 20824 KB Output is correct
26 Correct 153 ms 22500 KB Output is correct
27 Correct 145 ms 17384 KB Output is correct
28 Correct 142 ms 19688 KB Output is correct
29 Correct 146 ms 20836 KB Output is correct
30 Correct 150 ms 21988 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 163 ms 8184 KB Output is correct
2 Correct 160 ms 8252 KB Output is correct
3 Correct 164 ms 8188 KB Output is correct
4 Correct 162 ms 8184 KB Output is correct
5 Correct 159 ms 8184 KB Output is correct
6 Correct 157 ms 8184 KB Output is correct
7 Correct 162 ms 8184 KB Output is correct
8 Correct 160 ms 8312 KB Output is correct
9 Correct 165 ms 8184 KB Output is correct
10 Correct 153 ms 8184 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 384 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 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 384 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 384 KB Output is correct
25 Correct 1 ms 308 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 0 ms 256 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 256 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 0 ms 384 KB Output is correct
8 Correct 0 ms 256 KB Output is correct
9 Correct 0 ms 384 KB Output is correct
10 Correct 1 ms 384 KB Output is correct
11 Correct 0 ms 384 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 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 384 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 384 KB Output is correct
25 Correct 1 ms 308 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 130 ms 12904 KB Output is correct
31 Correct 145 ms 19428 KB Output is correct
32 Correct 122 ms 15976 KB Output is correct
33 Correct 139 ms 19428 KB Output is correct
34 Correct 143 ms 19816 KB Output is correct
35 Correct 149 ms 19432 KB Output is correct
36 Correct 132 ms 18408 KB Output is correct
37 Correct 149 ms 21744 KB Output is correct
38 Correct 149 ms 20576 KB Output is correct
39 Correct 149 ms 20824 KB Output is correct
40 Correct 153 ms 22500 KB Output is correct
41 Correct 145 ms 17384 KB Output is correct
42 Correct 142 ms 19688 KB Output is correct
43 Correct 146 ms 20836 KB Output is correct
44 Correct 150 ms 21988 KB Output is correct
45 Correct 163 ms 8184 KB Output is correct
46 Correct 160 ms 8252 KB Output is correct
47 Correct 164 ms 8188 KB Output is correct
48 Correct 162 ms 8184 KB Output is correct
49 Correct 159 ms 8184 KB Output is correct
50 Correct 157 ms 8184 KB Output is correct
51 Correct 162 ms 8184 KB Output is correct
52 Correct 160 ms 8312 KB Output is correct
53 Correct 165 ms 8184 KB Output is correct
54 Correct 153 ms 8184 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 162 ms 14148 KB Output is correct
77 Correct 173 ms 14136 KB Output is correct
78 Correct 147 ms 13608 KB Output is correct
79 Correct 158 ms 13816 KB Output is correct
80 Correct 155 ms 14412 KB Output is correct
81 Correct 152 ms 13816 KB Output is correct
82 Correct 151 ms 13688 KB Output is correct
83 Correct 154 ms 14072 KB Output is correct
84 Correct 148 ms 13944 KB Output is correct
85 Correct 168 ms 14200 KB Output is correct
86 Correct 156 ms 13568 KB Output is correct
87 Correct 146 ms 13432 KB Output is correct
88 Correct 152 ms 13816 KB Output is correct
89 Correct 145 ms 13688 KB Output is correct
90 Correct 147 ms 13660 KB Output is correct
91 Correct 143 ms 13392 KB Output is correct
92 Correct 153 ms 21096 KB Output is correct
93 Correct 147 ms 19452 KB Output is correct
94 Correct 153 ms 13176 KB Output is correct
95 Correct 160 ms 14584 KB Output is correct
96 Correct 143 ms 13432 KB Output is correct
97 Correct 175 ms 13688 KB Output is correct
98 Correct 147 ms 13948 KB Output is correct
99 Correct 146 ms 13564 KB Output is correct
100 Correct 146 ms 13688 KB Output is correct