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Submission #575907

# Submission time Handle Problem Language Result Execution time Memory
575907 2022-06-11T15:48:48 Z JovanB Discharging (NOI20_discharging) C++17
100 / 100
 114 ms 19244 KB 
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using ld = long double;

const int N = 1000000;
const ll INF = 1000000000000000000LL;

ll a[N+5];
ll dp[N+5];

struct line{
    ll k, n;
    ll eval(int x){ return k*x + n; }
    ld intersect(line h){
        return (ld)(n - h.n)/(h.k - k);
    }
};

deque <line> dq;

void dodaj(line g){
    while(dq.size() >= 2){
        line b = dq.back();
        dq.pop_back();
        line a = dq.back();
        dq.pop_back();
        if(a.intersect(g) > a.intersect(b)){
            dq.push_back(a);
            dq.push_back(b);
            break;
        }
        dq.push_back(a);
    }
    dq.push_back(g);
}

ll query(int x){
    while(dq.size() >= 2 && dq[0].eval(x) >= dq[1].eval(x)) dq.pop_front();
    return dq.front().eval(x);
}

int main(){
    ios_base::sync_with_stdio(false), cin.tie(0);
    cout.precision(10);
    cout << fixed;

    int n;
    cin >> n;
    for(int i=1; i<=n; i++){
        cin >> a[i];
    }
    reverse(a+1, a+1+n);
    vector <pair <int, int>> vec;
    for(int i=n; i>=1; i--){
        if(vec.empty() || vec.back().second < a[i]){
            vec.push_back({i, a[i]});
        }
    }
    reverse(vec.begin(), vec.end());
    for(int i=0; i<vec.size(); i++){
        int id, h;
        tie(id, h) = vec[i];
        line g;
        g.k = a[id];
        g.n = 0;
        if(i) g.n = dp[i-1];
        dodaj(g);
        dp[i] = query(id);
    }
    cout << dp[vec.size() - 1] << "\n";
    return 0;
}

Compilation message

Discharging.cpp: In function 'int main()':
Discharging.cpp:62:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   62 |     for(int i=0; i<vec.size(); i++){
      |                  ~^~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 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 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 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 340 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 340 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 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 340 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 340 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 340 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 93 ms 15240 KB Output is correct
17 Correct 96 ms 16188 KB Output is correct
18 Correct 82 ms 13612 KB Output is correct
19 Correct 94 ms 16132 KB Output is correct
20 Correct 101 ms 16832 KB Output is correct
21 Correct 98 ms 16136 KB Output is correct
22 Correct 93 ms 15432 KB Output is correct
23 Correct 109 ms 18528 KB Output is correct
24 Correct 104 ms 17448 KB Output is correct
25 Correct 113 ms 17484 KB Output is correct
26 Correct 114 ms 19244 KB Output is correct
27 Correct 86 ms 14592 KB Output is correct
28 Correct 96 ms 16328 KB Output is correct
29 Correct 107 ms 17716 KB Output is correct
30 Correct 111 ms 18896 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 90 ms 8012 KB Output is correct
2 Correct 88 ms 8024 KB Output is correct
3 Correct 92 ms 8056 KB Output is correct
4 Correct 96 ms 8116 KB Output is correct
5 Correct 87 ms 8036 KB Output is correct
6 Correct 87 ms 8136 KB Output is correct
7 Correct 87 ms 8140 KB Output is correct
8 Correct 86 ms 8012 KB Output is correct
9 Correct 87 ms 8056 KB Output is correct
10 Correct 91 ms 8108 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 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 340 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 340 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 1 ms 340 KB Output is correct
31 Correct 1 ms 340 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 340 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 328 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 328 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 1 ms 340 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 340 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 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 340 KB Output is correct
17 Correct 1 ms 340 KB Output is correct
18 Correct 1 ms 340 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 340 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 340 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 93 ms 15240 KB Output is correct
31 Correct 96 ms 16188 KB Output is correct
32 Correct 82 ms 13612 KB Output is correct
33 Correct 94 ms 16132 KB Output is correct
34 Correct 101 ms 16832 KB Output is correct
35 Correct 98 ms 16136 KB Output is correct
36 Correct 93 ms 15432 KB Output is correct
37 Correct 109 ms 18528 KB Output is correct
38 Correct 104 ms 17448 KB Output is correct
39 Correct 113 ms 17484 KB Output is correct
40 Correct 114 ms 19244 KB Output is correct
41 Correct 86 ms 14592 KB Output is correct
42 Correct 96 ms 16328 KB Output is correct
43 Correct 107 ms 17716 KB Output is correct
44 Correct 111 ms 18896 KB Output is correct
45 Correct 90 ms 8012 KB Output is correct
46 Correct 88 ms 8024 KB Output is correct
47 Correct 92 ms 8056 KB Output is correct
48 Correct 96 ms 8116 KB Output is correct
49 Correct 87 ms 8036 KB Output is correct
50 Correct 87 ms 8136 KB Output is correct
51 Correct 87 ms 8140 KB Output is correct
52 Correct 86 ms 8012 KB Output is correct
53 Correct 87 ms 8056 KB Output is correct
54 Correct 91 ms 8108 KB Output is correct
55 Correct 1 ms 340 KB Output is correct
56 Correct 1 ms 340 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 340 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 328 KB Output is correct
63 Correct 1 ms 340 KB Output is correct
64 Correct 1 ms 328 KB Output is correct
65 Correct 1 ms 340 KB Output is correct
66 Correct 1 ms 340 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 340 KB Output is correct
75 Correct 1 ms 340 KB Output is correct
76 Correct 74 ms 8888 KB Output is correct
77 Correct 76 ms 8808 KB Output is correct
78 Correct 69 ms 8816 KB Output is correct
79 Correct 77 ms 8804 KB Output is correct
80 Correct 84 ms 8780 KB Output is correct
81 Correct 75 ms 8756 KB Output is correct
82 Correct 70 ms 8652 KB Output is correct
83 Correct 73 ms 8704 KB Output is correct
84 Correct 78 ms 8784 KB Output is correct
85 Correct 71 ms 8744 KB Output is correct
86 Correct 72 ms 8660 KB Output is correct
87 Correct 69 ms 8732 KB Output is correct
88 Correct 71 ms 8676 KB Output is correct
89 Correct 71 ms 8900 KB Output is correct
90 Correct 69 ms 8784 KB Output is correct
91 Correct 68 ms 8780 KB Output is correct
92 Correct 101 ms 16880 KB Output is correct
93 Correct 95 ms 15856 KB Output is correct
94 Correct 65 ms 8560 KB Output is correct
95 Correct 72 ms 8624 KB Output is correct
96 Correct 67 ms 8540 KB Output is correct
97 Correct 70 ms 8652 KB Output is correct
98 Correct 71 ms 8548 KB Output is correct
99 Correct 71 ms 8624 KB Output is correct
100 Correct 75 ms 8660 KB Output is correct