oj.uz

Submission #1088766

# Submission time Handle Problem Language Result Execution time Memory
1088766 2024-09-15T02:24:50 Z vjudge1 Discharging (NOI20_discharging) C++17
100 / 100
 126 ms 25716 KB 
#include<bits/stdc++.h>
#define taskname ""
#define el '\n'
#define fi first
#define sc second
#define pii pair<int, int>
#define all(v) v.begin(), v.end()
#define int long long
using namespace std;
#define Faster ios_base::sync_with_stdio(false);cin.tie(0);
const int maxn=1e6+33;
const int N=1e5;
const int mod=1e9+7;
const long long INF=1e18+2;
int n,cost[1505][1505],a[maxn];
int dp[maxn];
void sub1()
{
    for(int i=1;i<=n;i++)
    {
        cost[i][i]=a[i];
        for(int j=i+1;j<=n;j++)
        {
            cost[i][j]=max(cost[i][j-1],a[j]);
        }
    }
    for(int i=1;i<=n;i++)
    {
        dp[i]=cost[1][i]*n;
        for(int j=1;j<i;j++)
        {
            dp[i]=min(dp[i],dp[j]+cost[j+1][i]*(n-j));
        }
    }
    cout<<dp[n];
}
struct line
{
    int a,b;
};
long double intersect(line x,line y)
{
    return -1.0*(x.b-y.b)/(x.a-y.a);
}
vector<line> cht;
vector<long double> point;
void add(line x)
{
    while(!cht.empty()&&intersect(x,cht.back())<=point.back())
    {
        cht.pop_back();
        point.pop_back();
    }
    point.push_back(intersect(cht.back(),x));
    cht.push_back(x);
}
int get(int x)
{
    int kk=upper_bound(point.begin(),point.end(),x)-point.begin()-1;
    return cht[kk].a*x+cht[kk].b;
}
void sub2()
{
    int Max=0;
    cht.push_back({0,0});
    point.push_back(-INF);
    for(int i=1;i<=n;i++)
    {
        if(a[i]<=Max) a[i]=Max;
        if(a[i]>Max)
        {
            Max=a[i];
        }
        dp[i]=get(a[i])+n*a[i];
        add({-i,dp[i]});
    }
    cout<<dp[n];
}
signed main()
{
    if (fopen(taskname".INP","r"))
    {
        freopen(taskname".INP","r",stdin);
        freopen(taskname".OUT","w",stdout);
    }
    Faster
    cin>>n;
    int inc=0,dec=0;
    for(int i=1;i<=n;i++)
    {
        cin>>a[i];
        if(i>1&&a[i]>a[i-1]) inc=1;
        if(i>1&&a[i]<a[i-1]) dec=1;
    }
    if(n<=1500) sub1();
    else sub2();
}

Compilation message

Discharging.cpp: In function 'int main()':
Discharging.cpp:88:9: warning: variable 'inc' set but not used [-Wunused-but-set-variable]
   88 |     int inc=0,dec=0;
      |         ^~~
Discharging.cpp:88:15: warning: variable 'dec' set but not used [-Wunused-but-set-variable]
   88 |     int inc=0,dec=0;
      |               ^~~
Discharging.cpp:83:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   83 |         freopen(taskname".INP","r",stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
Discharging.cpp:84:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   84 |         freopen(taskname".OUT","w",stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

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

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 13916 KB Output is correct
2 Correct 8 ms 13224 KB Output is correct
3 Correct 10 ms 13656 KB Output is correct
4 Correct 7 ms 13148 KB Output is correct
5 Correct 8 ms 14172 KB Output is correct
6 Correct 7 ms 13660 KB Output is correct
7 Correct 7 ms 13660 KB Output is correct
8 Correct 7 ms 13148 KB Output is correct
9 Correct 8 ms 13912 KB Output is correct
10 Correct 9 ms 13144 KB Output is correct
11 Correct 9 ms 13916 KB Output is correct
12 Correct 10 ms 13660 KB Output is correct
13 Correct 8 ms 13148 KB Output is correct
14 Correct 8 ms 14172 KB Output is correct
15 Correct 8 ms 13404 KB Output is correct

Subtask #3
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 13916 KB Output is correct
2 Correct 8 ms 13224 KB Output is correct
3 Correct 10 ms 13656 KB Output is correct
4 Correct 7 ms 13148 KB Output is correct
5 Correct 8 ms 14172 KB Output is correct
6 Correct 7 ms 13660 KB Output is correct
7 Correct 7 ms 13660 KB Output is correct
8 Correct 7 ms 13148 KB Output is correct
9 Correct 8 ms 13912 KB Output is correct
10 Correct 9 ms 13144 KB Output is correct
11 Correct 9 ms 13916 KB Output is correct
12 Correct 10 ms 13660 KB Output is correct
13 Correct 8 ms 13148 KB Output is correct
14 Correct 8 ms 14172 KB Output is correct
15 Correct 8 ms 13404 KB Output is correct
16 Correct 80 ms 20908 KB Output is correct
17 Correct 97 ms 21872 KB Output is correct
18 Correct 75 ms 20432 KB Output is correct
19 Correct 93 ms 21900 KB Output is correct
20 Correct 87 ms 21584 KB Output is correct
21 Correct 90 ms 21780 KB Output is correct
22 Correct 93 ms 21316 KB Output is correct
23 Correct 89 ms 22356 KB Output is correct
24 Correct 86 ms 21924 KB Output is correct
25 Correct 89 ms 22244 KB Output is correct
26 Correct 112 ms 22708 KB Output is correct
27 Correct 79 ms 21072 KB Output is correct
28 Correct 89 ms 21844 KB Output is correct
29 Correct 91 ms 22128 KB Output is correct
30 Correct 91 ms 22388 KB Output is correct

Subtask #4
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 92 ms 25680 KB Output is correct
2 Correct 108 ms 25716 KB Output is correct
3 Correct 94 ms 25512 KB Output is correct
4 Correct 126 ms 25680 KB Output is correct
5 Correct 90 ms 25680 KB Output is correct
6 Correct 95 ms 25708 KB Output is correct
7 Correct 121 ms 25540 KB Output is correct
8 Correct 101 ms 25684 KB Output is correct
9 Correct 89 ms 25680 KB Output is correct
10 Correct 94 ms 25684 KB Output is correct

Subtask #5
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 10 ms 13916 KB Output is correct
16 Correct 8 ms 13224 KB Output is correct
17 Correct 10 ms 13656 KB Output is correct
18 Correct 7 ms 13148 KB Output is correct
19 Correct 8 ms 14172 KB Output is correct
20 Correct 7 ms 13660 KB Output is correct
21 Correct 7 ms 13660 KB Output is correct
22 Correct 7 ms 13148 KB Output is correct
23 Correct 8 ms 13912 KB Output is correct
24 Correct 9 ms 13144 KB Output is correct
25 Correct 9 ms 13916 KB Output is correct
26 Correct 10 ms 13660 KB Output is correct
27 Correct 8 ms 13148 KB Output is correct
28 Correct 8 ms 14172 KB Output is correct
29 Correct 8 ms 13404 KB Output is correct
30 Correct 7 ms 13400 KB Output is correct
31 Correct 9 ms 13916 KB Output is correct
32 Correct 7 ms 13272 KB Output is correct
33 Correct 8 ms 13828 KB Output is correct
34 Correct 7 ms 13404 KB Output is correct
35 Correct 9 ms 14020 KB Output is correct
36 Correct 8 ms 13916 KB Output is correct
37 Correct 9 ms 13912 KB Output is correct
38 Correct 7 ms 14024 KB Output is correct
39 Correct 12 ms 13912 KB Output is correct
40 Correct 7 ms 13148 KB Output is correct
41 Correct 7 ms 13748 KB Output is correct
42 Correct 9 ms 14124 KB Output is correct
43 Correct 8 ms 14172 KB Output is correct
44 Correct 7 ms 13484 KB Output is correct
45 Correct 11 ms 13528 KB Output is correct
46 Correct 8 ms 13400 KB Output is correct
47 Correct 8 ms 14172 KB Output is correct
48 Correct 8 ms 13148 KB Output is correct
49 Correct 8 ms 13120 KB Output is correct
50 Correct 7 ms 13148 KB Output is correct

Subtask #6
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 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 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 10 ms 13916 KB Output is correct
16 Correct 8 ms 13224 KB Output is correct
17 Correct 10 ms 13656 KB Output is correct
18 Correct 7 ms 13148 KB Output is correct
19 Correct 8 ms 14172 KB Output is correct
20 Correct 7 ms 13660 KB Output is correct
21 Correct 7 ms 13660 KB Output is correct
22 Correct 7 ms 13148 KB Output is correct
23 Correct 8 ms 13912 KB Output is correct
24 Correct 9 ms 13144 KB Output is correct
25 Correct 9 ms 13916 KB Output is correct
26 Correct 10 ms 13660 KB Output is correct
27 Correct 8 ms 13148 KB Output is correct
28 Correct 8 ms 14172 KB Output is correct
29 Correct 8 ms 13404 KB Output is correct
30 Correct 80 ms 20908 KB Output is correct
31 Correct 97 ms 21872 KB Output is correct
32 Correct 75 ms 20432 KB Output is correct
33 Correct 93 ms 21900 KB Output is correct
34 Correct 87 ms 21584 KB Output is correct
35 Correct 90 ms 21780 KB Output is correct
36 Correct 93 ms 21316 KB Output is correct
37 Correct 89 ms 22356 KB Output is correct
38 Correct 86 ms 21924 KB Output is correct
39 Correct 89 ms 22244 KB Output is correct
40 Correct 112 ms 22708 KB Output is correct
41 Correct 79 ms 21072 KB Output is correct
42 Correct 89 ms 21844 KB Output is correct
43 Correct 91 ms 22128 KB Output is correct
44 Correct 91 ms 22388 KB Output is correct
45 Correct 92 ms 25680 KB Output is correct
46 Correct 108 ms 25716 KB Output is correct
47 Correct 94 ms 25512 KB Output is correct
48 Correct 126 ms 25680 KB Output is correct
49 Correct 90 ms 25680 KB Output is correct
50 Correct 95 ms 25708 KB Output is correct
51 Correct 121 ms 25540 KB Output is correct
52 Correct 101 ms 25684 KB Output is correct
53 Correct 89 ms 25680 KB Output is correct
54 Correct 94 ms 25684 KB Output is correct
55 Correct 7 ms 13400 KB Output is correct
56 Correct 9 ms 13916 KB Output is correct
57 Correct 7 ms 13272 KB Output is correct
58 Correct 8 ms 13828 KB Output is correct
59 Correct 7 ms 13404 KB Output is correct
60 Correct 9 ms 14020 KB Output is correct
61 Correct 8 ms 13916 KB Output is correct
62 Correct 9 ms 13912 KB Output is correct
63 Correct 7 ms 14024 KB Output is correct
64 Correct 12 ms 13912 KB Output is correct
65 Correct 7 ms 13148 KB Output is correct
66 Correct 7 ms 13748 KB Output is correct
67 Correct 9 ms 14124 KB Output is correct
68 Correct 8 ms 14172 KB Output is correct
69 Correct 7 ms 13484 KB Output is correct
70 Correct 11 ms 13528 KB Output is correct
71 Correct 8 ms 13400 KB Output is correct
72 Correct 8 ms 14172 KB Output is correct
73 Correct 8 ms 13148 KB Output is correct
74 Correct 8 ms 13120 KB Output is correct
75 Correct 7 ms 13148 KB Output is correct
76 Correct 80 ms 22096 KB Output is correct
77 Correct 86 ms 21956 KB Output is correct
78 Correct 76 ms 21332 KB Output is correct
79 Correct 77 ms 21588 KB Output is correct
80 Correct 85 ms 22424 KB Output is correct
81 Correct 94 ms 21584 KB Output is correct
82 Correct 82 ms 21588 KB Output is correct
83 Correct 78 ms 21840 KB Output is correct
84 Correct 76 ms 21904 KB Output is correct
85 Correct 83 ms 22100 KB Output is correct
86 Correct 86 ms 21416 KB Output is correct
87 Correct 79 ms 21212 KB Output is correct
88 Correct 83 ms 21728 KB Output is correct
89 Correct 82 ms 21588 KB Output is correct
90 Correct 77 ms 21692 KB Output is correct
91 Correct 81 ms 21120 KB Output is correct
92 Correct 95 ms 22592 KB Output is correct
93 Correct 86 ms 21844 KB Output is correct
94 Correct 73 ms 20820 KB Output is correct
95 Correct 87 ms 22396 KB Output is correct
96 Correct 78 ms 21300 KB Output is correct
97 Correct 78 ms 21580 KB Output is correct
98 Correct 91 ms 21844 KB Output is correct
99 Correct 78 ms 21520 KB Output is correct
100 Correct 79 ms 21588 KB Output is correct