Submission #912941

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
912941	2024-01-20T04:37:32 Z	12345678	Discharging (NOI20_discharging)	C++17	38 / 100	111 ms	22628 KB

Discharging

#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];
    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
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	Incorrect	1 ms	2396 KB	Output isn't correct
4	Halted	0 ms	0 KB	-

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	2392 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	2 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	2496 KB	Output is correct
14	Correct	2 ms	2396 KB	Output is correct
15	Correct	2 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	2392 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	2 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	2496 KB	Output is correct
14	Correct	2 ms	2396 KB	Output is correct
15	Correct	2 ms	2396 KB	Output is correct
16	Correct	79 ms	20968 KB	Output is correct
17	Correct	92 ms	21892 KB	Output is correct
18	Correct	88 ms	20264 KB	Output is correct
19	Correct	91 ms	21820 KB	Output is correct
20	Correct	96 ms	21948 KB	Output is correct
21	Correct	103 ms	21844 KB	Output is correct
22	Correct	96 ms	21316 KB	Output is correct
23	Correct	88 ms	22540 KB	Output is correct
24	Correct	94 ms	21960 KB	Output is correct
25	Correct	97 ms	22616 KB	Output is correct
26	Correct	90 ms	22628 KB	Output is correct
27	Correct	99 ms	20916 KB	Output is correct
28	Correct	87 ms	21764 KB	Output is correct
29	Correct	111 ms	21956 KB	Output is correct
30	Correct	91 ms	22344 KB	Output is correct