oj.uz

Submission #358638

# Submission time Handle Problem Language Result Execution time Memory
358638 2021-01-26T03:18:15 Z sumit_kk10 Global Warming (CEOI18_glo) C++14
100 / 100
 58 ms 5228 KB 
#include <bits/stdc++.h>
#define fast ios_base::sync_with_stdio(0);cin.tie(NULL);cout.tie(NULL)
#define ll long long int
#define ld long double
using namespace std;
const int N = 1e6 + 5;
const int MOD = 1e9 + 7;


int main(){
    fast;
    long long int n, x;
    cin >> n >> x;
    vector<int> a(n);
    for(int i = 0; i < n; ++i)
        cin >> a[i];
    int left_dp[n + 1], right_dp[n + 1];
    vector<int> lis;
    left_dp[0] = 1;
    lis.push_back(a[0]);
    for(int i = 1; i < n; ++i){
        if(a[i] > lis.back()){
            lis.push_back(a[i]);
            left_dp[i] = lis.size();
        }
        else{
            int low = 0, high = lis.size() - 1, ans = -1;
            while(low <= high){
                int mid = (low + high) / 2;
                if(lis[mid] >= a[i]){
                    ans = mid;
                    high = mid - 1;
                }
                else
                    low = mid + 1;
            }
            if(ans != -1)
                lis[ans] = a[i];
            left_dp[i] = ans + 1;
        }
    }
    right_dp[n - 1] = 1;
    lis.clear();
    lis.push_back(a[n - 1]);
    for(int i = n - 2; i >= 0; --i){
        if(a[i] < lis.back()){
            lis.push_back(a[i]);
            right_dp[i] = lis.size();
        }
        else{
            int low = 0, ans = -1, high = lis.size();
            while(low <= high){
                int mid = (low + high) / 2;
                if(lis[mid] <= a[i] - x){
                    ans = mid;
                    high = mid - 1;
                }
                else
                    low = mid + 1; 
            }
            if(ans == -1) 
                ans = lis.size();
            right_dp[i] = ans + 1;
            low = 0, ans = -1, high = lis.size();
            while(low <= high){
                int mid = (low + high) / 2;
                if(lis[mid] <= a[i]){
                    ans = mid;
                    high = mid - 1;
                }
                else
                    low = mid + 1; 
            }
            if(ans != -1)
                lis[ans] = a[i];
        }
    } 
    int mx = 0;
    for(int i = 0; i < n; ++i)
        mx = max(mx, left_dp[i] + right_dp[i] - 1);
    cout << mx << '\n';
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 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 364 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

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 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 364 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 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 364 KB Output is correct
17 Correct 1 ms 364 KB Output is correct
18 Correct 1 ms 364 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 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 364 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 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 364 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 364 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

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 57 ms 2668 KB Output is correct
2 Correct 56 ms 2688 KB Output is correct
3 Correct 56 ms 2668 KB Output is correct
4 Correct 56 ms 2668 KB Output is correct
5 Correct 27 ms 3224 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 876 KB Output is correct
2 Correct 13 ms 876 KB Output is correct
3 Correct 13 ms 876 KB Output is correct
4 Correct 7 ms 1132 KB Output is correct
5 Correct 0 ms 364 KB Output is correct
6 Correct 7 ms 1388 KB Output is correct
7 Correct 12 ms 1408 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 25 ms 1516 KB Output is correct
2 Correct 27 ms 2560 KB Output is correct
3 Correct 50 ms 4588 KB Output is correct
4 Correct 28 ms 4332 KB Output is correct
5 Correct 14 ms 2416 KB Output is correct
6 Correct 23 ms 4332 KB Output is correct
7 Correct 30 ms 4972 KB Output is correct
8 Correct 21 ms 2540 KB Output is correct

Subtask #7
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 364 KB Output is correct
2 Correct 1 ms 364 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 364 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 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 364 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 364 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 57 ms 2668 KB Output is correct
28 Correct 56 ms 2688 KB Output is correct
29 Correct 56 ms 2668 KB Output is correct
30 Correct 56 ms 2668 KB Output is correct
31 Correct 27 ms 3224 KB Output is correct
32 Correct 15 ms 876 KB Output is correct
33 Correct 13 ms 876 KB Output is correct
34 Correct 13 ms 876 KB Output is correct
35 Correct 7 ms 1132 KB Output is correct
36 Correct 0 ms 364 KB Output is correct
37 Correct 7 ms 1388 KB Output is correct
38 Correct 12 ms 1408 KB Output is correct
39 Correct 25 ms 1516 KB Output is correct
40 Correct 27 ms 2560 KB Output is correct
41 Correct 50 ms 4588 KB Output is correct
42 Correct 28 ms 4332 KB Output is correct
43 Correct 14 ms 2416 KB Output is correct
44 Correct 23 ms 4332 KB Output is correct
45 Correct 30 ms 4972 KB Output is correct
46 Correct 21 ms 2540 KB Output is correct
47 Correct 28 ms 2540 KB Output is correct
48 Correct 29 ms 2540 KB Output is correct
49 Correct 58 ms 4716 KB Output is correct
50 Correct 28 ms 4332 KB Output is correct
51 Correct 23 ms 3436 KB Output is correct
52 Correct 28 ms 4460 KB Output is correct
53 Correct 24 ms 4460 KB Output is correct
54 Correct 32 ms 5228 KB Output is correct
55 Correct 46 ms 4716 KB Output is correct