oj.uz

Submission #853311

# Submission time Handle Problem Language Result Execution time Memory
853311 2023-09-24T03:47:18 Z 8pete8 Discharging (NOI20_discharging) C++17
58 / 100
 100 ms 24152 KB 
#include<iostream>
#include<stack>
#include<map>
#include<vector>
#include<string>
#include<unordered_map>
#include <queue>
#include<cstring>
#include<limits.h>
#include<cmath>
#include<set>
#include<algorithm>
#include<bitset>
using namespace std;
#define ll long long
#define f first
#define endl "\n"
#define s second
#define pii pair<int,int>
#define ppii pair<int,pii>
#define pb push_back
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define F(n) for(int i=0;i<n;i++)
#define lb lower_bound
#define ub upper_bound
#define fastio ios::sync_with_stdio(false);cin.tie(NULL);
using namespace std;
#define int long long
const int mxn=1e5,mod=1000000007,lg=20,root=1000,inf=1e18;
struct line{int m,c;};
double intersect(line a,line b){return ((b.c-a.c)*1.0/(a.m-b.m)*1.0);}
static bool cmp(pair<int,line>a,pair<int,line>b){return a.f<b.f;}
vector<pair<int,line>>con;
void add(line a){
    while(con.size()>1&&(intersect(con.back().s,a)<=(intersect(con[con.size()-1].s,con[con.size()-2].s))))con.pop_back();
    if(con.empty())con.pb({0,a});
    else con.pb({intersect(con.back().s,a),a});
}
int qry(int x){
    auto it=ub(all(con),make_pair(x,line{}),cmp);
    it--;
    line tmp=(*it).s;
    return x*(tmp.m)+tmp.c;
}
/*
dpi =dp(j)+ti*(n-j+1)
*/
int32_t main(){
    fastio
    int n;cin>>n;
    vector<int>v(n+1),p(n+1),dp(n+1,INT_MAX);
    dp[0]=0;
    for(int i=1;i<=n;i++)cin>>v[i],v[i]=max(v[i-1],v[i]);
    add(line{0,0});
    for(int i=1;i<=n;i++){
        dp[i]=v[i]*n;
        //ti(1-j)+dp(j-1)
        //-tij+dp(j-1)+ti
        add(line{-i,dp[i-1]});
        if(i>1)dp[i]=min(dp[i],qry(v[i])+v[i]*(n+1));
    }
    cout<<dp[n]<<'\n';
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 600 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 504 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 96 ms 23944 KB Output is correct
17 Correct 83 ms 23900 KB Output is correct
18 Correct 76 ms 23900 KB Output is correct
19 Correct 83 ms 23948 KB Output is correct
20 Correct 98 ms 24152 KB Output is correct
21 Correct 82 ms 23896 KB Output is correct
22 Correct 80 ms 23900 KB Output is correct
23 Correct 90 ms 23948 KB Output is correct
24 Correct 84 ms 23900 KB Output is correct
25 Correct 86 ms 23932 KB Output is correct
26 Correct 90 ms 23932 KB Output is correct
27 Correct 88 ms 23936 KB Output is correct
28 Correct 82 ms 23900 KB Output is correct
29 Correct 89 ms 23924 KB Output is correct
30 Correct 88 ms 23920 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 23900 KB Output is correct
2 Correct 92 ms 23896 KB Output is correct
3 Correct 92 ms 23896 KB Output is correct
4 Correct 93 ms 23936 KB Output is correct
5 Correct 92 ms 23900 KB Output is correct
6 Correct 93 ms 23932 KB Output is correct
7 Correct 96 ms 23900 KB Output is correct
8 Correct 98 ms 23940 KB Output is correct
9 Correct 100 ms 23928 KB Output is correct
10 Correct 95 ms 23936 KB Output is correct

Subtask #5
0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 600 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 504 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 1 ms 344 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 1 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 352 KB Output is correct
40 Correct 1 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 1 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Incorrect 0 ms 348 KB Output isn't correct
46 Halted 0 ms 0 KB -

Subtask #6
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 600 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 1 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 1 ms 504 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 1 ms 348 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 1 ms 348 KB Output is correct
29 Correct 1 ms 348 KB Output is correct
30 Correct 96 ms 23944 KB Output is correct
31 Correct 83 ms 23900 KB Output is correct
32 Correct 76 ms 23900 KB Output is correct
33 Correct 83 ms 23948 KB Output is correct
34 Correct 98 ms 24152 KB Output is correct
35 Correct 82 ms 23896 KB Output is correct
36 Correct 80 ms 23900 KB Output is correct
37 Correct 90 ms 23948 KB Output is correct
38 Correct 84 ms 23900 KB Output is correct
39 Correct 86 ms 23932 KB Output is correct
40 Correct 90 ms 23932 KB Output is correct
41 Correct 88 ms 23936 KB Output is correct
42 Correct 82 ms 23900 KB Output is correct
43 Correct 89 ms 23924 KB Output is correct
44 Correct 88 ms 23920 KB Output is correct
45 Correct 92 ms 23900 KB Output is correct
46 Correct 92 ms 23896 KB Output is correct
47 Correct 92 ms 23896 KB Output is correct
48 Correct 93 ms 23936 KB Output is correct
49 Correct 92 ms 23900 KB Output is correct
50 Correct 93 ms 23932 KB Output is correct
51 Correct 96 ms 23900 KB Output is correct
52 Correct 98 ms 23940 KB Output is correct
53 Correct 100 ms 23928 KB Output is correct
54 Correct 95 ms 23936 KB Output is correct
55 Correct 1 ms 348 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 1 ms 344 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 0 ms 348 KB Output is correct
61 Correct 0 ms 348 KB Output is correct
62 Correct 0 ms 348 KB Output is correct
63 Correct 0 ms 348 KB Output is correct
64 Correct 1 ms 352 KB Output is correct
65 Correct 1 ms 348 KB Output is correct
66 Correct 0 ms 348 KB Output is correct
67 Correct 0 ms 348 KB Output is correct
68 Correct 1 ms 348 KB Output is correct
69 Correct 0 ms 348 KB Output is correct
70 Incorrect 0 ms 348 KB Output isn't correct
71 Halted 0 ms 0 KB -