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Submission #320662

# Submission time Handle Problem Language Result Execution time Memory
320662 2020-11-09T12:46:19 Z Sparky_09 Discharging (NOI20_discharging) C++17
100 / 100
 155 ms 16484 KB 
#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define pll pair<ll,ll>

ll slope(pll x, pll y){
  if(x.first<y.first){
    swap(x,y);
  }
  return(y.second-x.second)/(x.first-y.first);
}

int main(){
	ios_base::sync_with_stdio(false);
	//freopen("input.txt", "r", stdin);

	int n;
	cin >> n;
	vector<ll> v(n+5), dp(n+5);
	vector<pair<ll,ll>> q;
	for(int i = 1; i <= n; i++){
	  cin >> v[i];
	  v[i] = max(v[i], v[i-1]);
	}

	q.emplace_back(n,0);
	int idx=0;

	for(int i = 1; i <= n; i++){
	  dp[i] = (ll)1e9;
	  if(v[i]==v[i+1]) continue;
	  
	  while(idx+1 < (int)q.size() and slope(q[idx],q[idx+1]) < v[i]){
	    idx++;
	  }

	  dp[i] = q[idx].second + q[idx].first * v[i];

	  while(q.size() > 1 and slope(q[q.size()-2], q[q.size()-1]) >= slope(q[q.size()-1], make_pair((ll)n-i, (ll)dp[i]))){
	    q.pop_back();
	  }

	  q.emplace_back(n - i, dp[i]);
	}
	cout << dp[n] << '\n';
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 268 KB Output is correct
9 Correct 0 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 0 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 1 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 364 KB Output is correct
9 Correct 1 ms 364 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 131 ms 16484 KB Output is correct
17 Correct 127 ms 16356 KB Output is correct
18 Correct 107 ms 16228 KB Output is correct
19 Correct 124 ms 16228 KB Output is correct
20 Correct 126 ms 16228 KB Output is correct
21 Correct 126 ms 16392 KB Output is correct
22 Correct 131 ms 16356 KB Output is correct
23 Correct 155 ms 16224 KB Output is correct
24 Correct 130 ms 16228 KB Output is correct
25 Correct 138 ms 16228 KB Output is correct
26 Correct 154 ms 16356 KB Output is correct
27 Correct 115 ms 16356 KB Output is correct
28 Correct 127 ms 16288 KB Output is correct
29 Correct 130 ms 16356 KB Output is correct
30 Correct 136 ms 16232 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 127 ms 16100 KB Output is correct
2 Correct 124 ms 15980 KB Output is correct
3 Correct 126 ms 15980 KB Output is correct
4 Correct 128 ms 15980 KB Output is correct
5 Correct 127 ms 16104 KB Output is correct
6 Correct 124 ms 16100 KB Output is correct
7 Correct 128 ms 15980 KB Output is correct
8 Correct 126 ms 16100 KB Output is correct
9 Correct 126 ms 16128 KB Output is correct
10 Correct 126 ms 15980 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 268 KB Output is correct
9 Correct 0 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 0 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 1 ms 364 KB Output is correct
31 Correct 1 ms 364 KB Output is correct
32 Correct 1 ms 364 KB Output is correct
33 Correct 1 ms 364 KB Output is correct
34 Correct 1 ms 364 KB Output is correct
35 Correct 1 ms 364 KB Output is correct
36 Correct 1 ms 364 KB Output is correct
37 Correct 1 ms 364 KB Output is correct
38 Correct 1 ms 364 KB Output is correct
39 Correct 1 ms 364 KB Output is correct
40 Correct 1 ms 364 KB Output is correct
41 Correct 1 ms 364 KB Output is correct
42 Correct 1 ms 364 KB Output is correct
43 Correct 1 ms 364 KB Output is correct
44 Correct 1 ms 492 KB Output is correct
45 Correct 1 ms 492 KB Output is correct
46 Correct 1 ms 364 KB Output is correct
47 Correct 1 ms 364 KB Output is correct
48 Correct 1 ms 364 KB Output is correct
49 Correct 1 ms 364 KB Output is correct
50 Correct 1 ms 364 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 0 ms 364 KB Output is correct
3 Correct 1 ms 364 KB Output is correct
4 Correct 1 ms 364 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 1 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 268 KB Output is correct
9 Correct 0 ms 364 KB Output is correct
10 Correct 0 ms 364 KB Output is correct
11 Correct 1 ms 364 KB Output is correct
12 Correct 0 ms 364 KB Output is correct
13 Correct 1 ms 364 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 1 ms 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct
19 Correct 1 ms 364 KB Output is correct
20 Correct 1 ms 364 KB Output is correct
21 Correct 1 ms 364 KB Output is correct
22 Correct 1 ms 364 KB Output is correct
23 Correct 1 ms 364 KB Output is correct
24 Correct 1 ms 364 KB Output is correct
25 Correct 1 ms 364 KB Output is correct
26 Correct 1 ms 364 KB Output is correct
27 Correct 1 ms 364 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 131 ms 16484 KB Output is correct
31 Correct 127 ms 16356 KB Output is correct
32 Correct 107 ms 16228 KB Output is correct
33 Correct 124 ms 16228 KB Output is correct
34 Correct 126 ms 16228 KB Output is correct
35 Correct 126 ms 16392 KB Output is correct
36 Correct 131 ms 16356 KB Output is correct
37 Correct 155 ms 16224 KB Output is correct
38 Correct 130 ms 16228 KB Output is correct
39 Correct 138 ms 16228 KB Output is correct
40 Correct 154 ms 16356 KB Output is correct
41 Correct 115 ms 16356 KB Output is correct
42 Correct 127 ms 16288 KB Output is correct
43 Correct 130 ms 16356 KB Output is correct
44 Correct 136 ms 16232 KB Output is correct
45 Correct 127 ms 16100 KB Output is correct
46 Correct 124 ms 15980 KB Output is correct
47 Correct 126 ms 15980 KB Output is correct
48 Correct 128 ms 15980 KB Output is correct
49 Correct 127 ms 16104 KB Output is correct
50 Correct 124 ms 16100 KB Output is correct
51 Correct 128 ms 15980 KB Output is correct
52 Correct 126 ms 16100 KB Output is correct
53 Correct 126 ms 16128 KB Output is correct
54 Correct 126 ms 15980 KB Output is correct
55 Correct 1 ms 364 KB Output is correct
56 Correct 1 ms 364 KB Output is correct
57 Correct 1 ms 364 KB Output is correct
58 Correct 1 ms 364 KB Output is correct
59 Correct 1 ms 364 KB Output is correct
60 Correct 1 ms 364 KB Output is correct
61 Correct 1 ms 364 KB Output is correct
62 Correct 1 ms 364 KB Output is correct
63 Correct 1 ms 364 KB Output is correct
64 Correct 1 ms 364 KB Output is correct
65 Correct 1 ms 364 KB Output is correct
66 Correct 1 ms 364 KB Output is correct
67 Correct 1 ms 364 KB Output is correct
68 Correct 1 ms 364 KB Output is correct
69 Correct 1 ms 492 KB Output is correct
70 Correct 1 ms 492 KB Output is correct
71 Correct 1 ms 364 KB Output is correct
72 Correct 1 ms 364 KB Output is correct
73 Correct 1 ms 364 KB Output is correct
74 Correct 1 ms 364 KB Output is correct
75 Correct 1 ms 364 KB Output is correct
76 Correct 107 ms 16224 KB Output is correct
77 Correct 109 ms 16228 KB Output is correct
78 Correct 104 ms 16356 KB Output is correct
79 Correct 110 ms 16224 KB Output is correct
80 Correct 127 ms 16228 KB Output is correct
81 Correct 105 ms 16356 KB Output is correct
82 Correct 104 ms 16228 KB Output is correct
83 Correct 107 ms 16224 KB Output is correct
84 Correct 110 ms 16352 KB Output is correct
85 Correct 111 ms 16384 KB Output is correct
86 Correct 103 ms 16228 KB Output is correct
87 Correct 118 ms 16356 KB Output is correct
88 Correct 105 ms 16224 KB Output is correct
89 Correct 106 ms 16356 KB Output is correct
90 Correct 106 ms 16356 KB Output is correct
91 Correct 115 ms 16228 KB Output is correct
92 Correct 153 ms 16356 KB Output is correct
93 Correct 146 ms 16280 KB Output is correct
94 Correct 103 ms 16228 KB Output is correct
95 Correct 110 ms 16228 KB Output is correct
96 Correct 107 ms 16276 KB Output is correct
97 Correct 107 ms 16228 KB Output is correct
98 Correct 108 ms 16284 KB Output is correct
99 Correct 103 ms 16356 KB Output is correct
100 Correct 105 ms 16356 KB Output is correct