oj.uz

Submission #320646

# Submission time Handle Problem Language Result Execution time Memory
320646 2020-11-09T11:39:20 Z egas Discharging (NOI20_discharging) C++14
100 / 100
 185 ms 23968 KB 
#include <bits/stdc++.h>

using namespace std;

class CHT {

private:

    class Line {

        long long m,c;

    public:

        Line(long long m,long long c) {

            this->m=m;

            this->c=c;

        }

        long long getVal(long long x) {

            return this->m*x + c;

        }

        long long intersect(Line &a) {

            return ceil((a.c - this->c)/(long double)(this->m - a.m));

        }

    };

    deque<pair<Line,long long>> dq;

public:

    void insert(long long m,long long c) {

        Line temp(m,c);

        while(dq.size()>1 and dq.back().second>=dq.back().first.intersect(temp)) {

            dq.pop_back();

        }

        if(dq.size()==0) {

            dq.push_back({temp,0});

        } else {

            dq.push_back({temp,dq.back().first.intersect(temp)});

        }

    }

    long long query(long long x) {

        while(dq.size()>1) {

            if(dq[1].second<=x) {

                dq.pop_front();

            } else {

                break;

            }

        }

        return dq[0].first.getVal(x);

    }

};

int32_t main() {

    ios_base::sync_with_stdio(false);

    cin.tie(0);

    long long n;

    cin >> n;

    vector<long long> a(n);

    for(long long i = 0 ; i < n ; i++) {

        cin >> a[i];

    }

    long long dp[n];

    dp[0]=a[0]*n;

    long long maxi[n];

    maxi[0]=a[0];

    for(long long i = 0 ; i < n ; i++) {

        if(i==0) {

            continue;

        }

        maxi[i]=max(maxi[i-1],a[i]);

    }

    CHT meat;

    meat.insert(n,0);

    for(long long i = 0 ; i < n ; i++) {

        if(i==0)continue;

        meat.insert(n-i,dp[i-1]);

        dp[i]=meat.query(maxi[i]);

    }

    cout << dp[n-1] << '\n';

    return 0;

}

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 384 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 364 KB Output is correct
10 Correct 1 ms 376 KB Output is correct
11 Correct 0 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 0 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 384 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 384 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 384 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 384 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 384 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 384 KB Output is correct
14 Correct 1 ms 364 KB Output is correct
15 Correct 1 ms 364 KB Output is correct
16 Correct 143 ms 23908 KB Output is correct
17 Correct 150 ms 23780 KB Output is correct
18 Correct 136 ms 23968 KB Output is correct
19 Correct 158 ms 23780 KB Output is correct
20 Correct 146 ms 23780 KB Output is correct
21 Correct 148 ms 23904 KB Output is correct
22 Correct 149 ms 23780 KB Output is correct
23 Correct 157 ms 23908 KB Output is correct
24 Correct 154 ms 23780 KB Output is correct
25 Correct 156 ms 23780 KB Output is correct
26 Correct 180 ms 23908 KB Output is correct
27 Correct 143 ms 23780 KB Output is correct
28 Correct 157 ms 23908 KB Output is correct
29 Correct 169 ms 23908 KB Output is correct
30 Correct 157 ms 23780 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 163 ms 23780 KB Output is correct
2 Correct 163 ms 23780 KB Output is correct
3 Correct 164 ms 23848 KB Output is correct
4 Correct 166 ms 23908 KB Output is correct
5 Correct 161 ms 23780 KB Output is correct
6 Correct 165 ms 23848 KB Output is correct
7 Correct 162 ms 23784 KB Output is correct
8 Correct 162 ms 23908 KB Output is correct
9 Correct 163 ms 23780 KB Output is correct
10 Correct 185 ms 23780 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 384 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 364 KB Output is correct
10 Correct 1 ms 376 KB Output is correct
11 Correct 0 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 0 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 384 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 384 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 384 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 364 KB Output is correct
45 Correct 1 ms 364 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 384 KB Output is correct
3 Correct 0 ms 364 KB Output is correct
4 Correct 0 ms 364 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 0 ms 364 KB Output is correct
7 Correct 1 ms 364 KB Output is correct
8 Correct 1 ms 384 KB Output is correct
9 Correct 0 ms 364 KB Output is correct
10 Correct 1 ms 376 KB Output is correct
11 Correct 0 ms 364 KB Output is correct
12 Correct 1 ms 364 KB Output is correct
13 Correct 0 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 384 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 384 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 384 KB Output is correct
28 Correct 1 ms 364 KB Output is correct
29 Correct 1 ms 364 KB Output is correct
30 Correct 143 ms 23908 KB Output is correct
31 Correct 150 ms 23780 KB Output is correct
32 Correct 136 ms 23968 KB Output is correct
33 Correct 158 ms 23780 KB Output is correct
34 Correct 146 ms 23780 KB Output is correct
35 Correct 148 ms 23904 KB Output is correct
36 Correct 149 ms 23780 KB Output is correct
37 Correct 157 ms 23908 KB Output is correct
38 Correct 154 ms 23780 KB Output is correct
39 Correct 156 ms 23780 KB Output is correct
40 Correct 180 ms 23908 KB Output is correct
41 Correct 143 ms 23780 KB Output is correct
42 Correct 157 ms 23908 KB Output is correct
43 Correct 169 ms 23908 KB Output is correct
44 Correct 157 ms 23780 KB Output is correct
45 Correct 163 ms 23780 KB Output is correct
46 Correct 163 ms 23780 KB Output is correct
47 Correct 164 ms 23848 KB Output is correct
48 Correct 166 ms 23908 KB Output is correct
49 Correct 161 ms 23780 KB Output is correct
50 Correct 165 ms 23848 KB Output is correct
51 Correct 162 ms 23784 KB Output is correct
52 Correct 162 ms 23908 KB Output is correct
53 Correct 163 ms 23780 KB Output is correct
54 Correct 185 ms 23780 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 364 KB Output is correct
70 Correct 1 ms 364 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 147 ms 23780 KB Output is correct
77 Correct 145 ms 23908 KB Output is correct
78 Correct 138 ms 23844 KB Output is correct
79 Correct 139 ms 23780 KB Output is correct
80 Correct 169 ms 23908 KB Output is correct
81 Correct 142 ms 23908 KB Output is correct
82 Correct 143 ms 23780 KB Output is correct
83 Correct 143 ms 23780 KB Output is correct
84 Correct 145 ms 23908 KB Output is correct
85 Correct 163 ms 23908 KB Output is correct
86 Correct 138 ms 23780 KB Output is correct
87 Correct 138 ms 23844 KB Output is correct
88 Correct 141 ms 23844 KB Output is correct
89 Correct 140 ms 23780 KB Output is correct
90 Correct 142 ms 23780 KB Output is correct
91 Correct 138 ms 23848 KB Output is correct
92 Correct 167 ms 23780 KB Output is correct
93 Correct 154 ms 23908 KB Output is correct
94 Correct 135 ms 23780 KB Output is correct
95 Correct 143 ms 23780 KB Output is correct
96 Correct 146 ms 23780 KB Output is correct
97 Correct 138 ms 23780 KB Output is correct
98 Correct 140 ms 23780 KB Output is correct
99 Correct 140 ms 23776 KB Output is correct
100 Correct 141 ms 23780 KB Output is correct