oj.uz

Submission #912944

# Submission time Handle Problem Language Result Execution time Memory
912944 2024-01-20T04:38:36 Z 12345678 Discharging (NOI20_discharging) C++17
100 / 100
 118 ms 22612 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
#define ll long long
 
const ll nx=1e6+5, inf=1e18;
ll n, t[nx], dp[nx];

struct line
{
    ll m, c, p;
    line(ll m, ll c, ll p): m(m), c(c), p(p){}
};

struct convexhull
{
    deque<line> dq;
    ll div(ll a, ll b)
    {
        if ((a%b)==0||(a^b)>=0) return a/b;
        return a/b-1;
    }
    void add(ll m, ll c)
    {
        while (dq.size()>1)
        {
            line tmp=dq.back();
            dq.pop_back();
            if (div(c-tmp.c, tmp.m-m)>dq.back().p) 
            {
                dq.push_back(tmp);
                break;
            }
        }
        if (!dq.empty()) dq.back().p=div(c-dq.back().c, dq.back().m-m);
        dq.push_back(line(m, c, inf));
    }
    ll query(ll x)
    {
        while (dq.front().p<x) dq.pop_front();
        return dq.front().m*x+dq.front().c;
    }
    void show()
    {
        for (auto tmp:dq) printf("line %d %d %lld\n", tmp.m, tmp.c, tmp.p);
    }
} c;

int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin>>n;
    for (int i=1; i<=n; i++) cin>>t[i], t[i]=max(t[i], t[i-1]);
    c.add(0, 0);
    //c.show();
    for (int i=1; i<=n; i++) dp[i]=c.query(t[i])+t[i]*n,  c.add(-i, dp[i]); //c.show();
    cout<<dp[n];
}

Compilation message

Discharging.cpp: In member function 'void convexhull::show()':
Discharging.cpp:46:41: warning: format '%d' expects argument of type 'int', but argument 2 has type 'long long int' [-Wformat=]
   46 |         for (auto tmp:dq) printf("line %d %d %lld\n", tmp.m, tmp.c, tmp.p);
      |                                        ~^             ~~~~~
      |                                         |                 |
      |                                         int               long long int
      |                                        %lld
Discharging.cpp:46:44: warning: format '%d' expects argument of type 'int', but argument 3 has type 'long long int' [-Wformat=]
   46 |         for (auto tmp:dq) printf("line %d %d %lld\n", tmp.m, tmp.c, tmp.p);
      |                                           ~^                 ~~~~~
      |                                            |                     |
      |                                            int                   long long int
      |                                           %lld

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2516 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2512 KB Output is correct
11 Correct 1 ms 2508 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 2 ms 2552 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 2 ms 2400 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 2 ms 2400 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 94 ms 16072 KB Output is correct
17 Correct 101 ms 16088 KB Output is correct
18 Correct 93 ms 16068 KB Output is correct
19 Correct 97 ms 16072 KB Output is correct
20 Correct 99 ms 16084 KB Output is correct
21 Correct 106 ms 15948 KB Output is correct
22 Correct 107 ms 16080 KB Output is correct
23 Correct 106 ms 15952 KB Output is correct
24 Correct 98 ms 15952 KB Output is correct
25 Correct 103 ms 16076 KB Output is correct
26 Correct 106 ms 16068 KB Output is correct
27 Correct 94 ms 16076 KB Output is correct
28 Correct 101 ms 16072 KB Output is correct
29 Correct 105 ms 15868 KB Output is correct
30 Correct 111 ms 16332 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 107 ms 16072 KB Output is correct
2 Correct 113 ms 16076 KB Output is correct
3 Correct 102 ms 15888 KB Output is correct
4 Correct 112 ms 16076 KB Output is correct
5 Correct 104 ms 16080 KB Output is correct
6 Correct 115 ms 16212 KB Output is correct
7 Correct 109 ms 16076 KB Output is correct
8 Correct 118 ms 16072 KB Output is correct
9 Correct 111 ms 15952 KB Output is correct
10 Correct 109 ms 16076 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2516 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2512 KB Output is correct
11 Correct 1 ms 2508 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 2 ms 2552 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 2 ms 2400 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 1 ms 2396 KB Output is correct
31 Correct 1 ms 2508 KB Output is correct
32 Correct 1 ms 2396 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 1 ms 2396 KB Output is correct
35 Correct 1 ms 2396 KB Output is correct
36 Correct 1 ms 2396 KB Output is correct
37 Correct 1 ms 2396 KB Output is correct
38 Correct 1 ms 2396 KB Output is correct
39 Correct 1 ms 2396 KB Output is correct
40 Correct 1 ms 2396 KB Output is correct
41 Correct 1 ms 2396 KB Output is correct
42 Correct 1 ms 2396 KB Output is correct
43 Correct 1 ms 2548 KB Output is correct
44 Correct 1 ms 2396 KB Output is correct
45 Correct 2 ms 2396 KB Output is correct
46 Correct 1 ms 2396 KB Output is correct
47 Correct 1 ms 2396 KB Output is correct
48 Correct 1 ms 2516 KB Output is correct
49 Correct 1 ms 2396 KB Output is correct
50 Correct 2 ms 2552 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2516 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2512 KB Output is correct
11 Correct 1 ms 2508 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 2 ms 2552 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct
17 Correct 1 ms 2396 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 1 ms 2396 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2396 KB Output is correct
25 Correct 1 ms 2396 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 2 ms 2400 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 94 ms 16072 KB Output is correct
31 Correct 101 ms 16088 KB Output is correct
32 Correct 93 ms 16068 KB Output is correct
33 Correct 97 ms 16072 KB Output is correct
34 Correct 99 ms 16084 KB Output is correct
35 Correct 106 ms 15948 KB Output is correct
36 Correct 107 ms 16080 KB Output is correct
37 Correct 106 ms 15952 KB Output is correct
38 Correct 98 ms 15952 KB Output is correct
39 Correct 103 ms 16076 KB Output is correct
40 Correct 106 ms 16068 KB Output is correct
41 Correct 94 ms 16076 KB Output is correct
42 Correct 101 ms 16072 KB Output is correct
43 Correct 105 ms 15868 KB Output is correct
44 Correct 111 ms 16332 KB Output is correct
45 Correct 107 ms 16072 KB Output is correct
46 Correct 113 ms 16076 KB Output is correct
47 Correct 102 ms 15888 KB Output is correct
48 Correct 112 ms 16076 KB Output is correct
49 Correct 104 ms 16080 KB Output is correct
50 Correct 115 ms 16212 KB Output is correct
51 Correct 109 ms 16076 KB Output is correct
52 Correct 118 ms 16072 KB Output is correct
53 Correct 111 ms 15952 KB Output is correct
54 Correct 109 ms 16076 KB Output is correct
55 Correct 1 ms 2396 KB Output is correct
56 Correct 1 ms 2508 KB Output is correct
57 Correct 1 ms 2396 KB Output is correct
58 Correct 1 ms 2396 KB Output is correct
59 Correct 1 ms 2396 KB Output is correct
60 Correct 1 ms 2396 KB Output is correct
61 Correct 1 ms 2396 KB Output is correct
62 Correct 1 ms 2396 KB Output is correct
63 Correct 1 ms 2396 KB Output is correct
64 Correct 1 ms 2396 KB Output is correct
65 Correct 1 ms 2396 KB Output is correct
66 Correct 1 ms 2396 KB Output is correct
67 Correct 1 ms 2396 KB Output is correct
68 Correct 1 ms 2548 KB Output is correct
69 Correct 1 ms 2396 KB Output is correct
70 Correct 2 ms 2396 KB Output is correct
71 Correct 1 ms 2396 KB Output is correct
72 Correct 1 ms 2396 KB Output is correct
73 Correct 1 ms 2516 KB Output is correct
74 Correct 1 ms 2396 KB Output is correct
75 Correct 2 ms 2552 KB Output is correct
76 Correct 92 ms 21960 KB Output is correct
77 Correct 99 ms 21976 KB Output is correct
78 Correct 91 ms 21332 KB Output is correct
79 Correct 107 ms 21592 KB Output is correct
80 Correct 102 ms 22424 KB Output is correct
81 Correct 95 ms 21752 KB Output is correct
82 Correct 90 ms 21472 KB Output is correct
83 Correct 110 ms 22100 KB Output is correct
84 Correct 98 ms 21704 KB Output is correct
85 Correct 102 ms 22168 KB Output is correct
86 Correct 103 ms 21492 KB Output is correct
87 Correct 113 ms 21440 KB Output is correct
88 Correct 96 ms 21652 KB Output is correct
89 Correct 94 ms 21476 KB Output is correct
90 Correct 92 ms 21560 KB Output is correct
91 Correct 98 ms 21328 KB Output is correct
92 Correct 109 ms 22612 KB Output is correct
93 Correct 103 ms 21888 KB Output is correct
94 Correct 99 ms 21340 KB Output is correct
95 Correct 97 ms 22468 KB Output is correct
96 Correct 96 ms 21188 KB Output is correct
97 Correct 98 ms 21832 KB Output is correct
98 Correct 92 ms 21844 KB Output is correct
99 Correct 110 ms 21340 KB Output is correct
100 Correct 95 ms 21568 KB Output is correct