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Submission #1093862

# Submission time Handle Problem Language Result Execution time Memory
1093862 2024-09-27T19:04:15 Z Tymond Global Warming (CEOI18_glo) C++17
100 / 100
 45 ms 7084 KB 
#include <bits/stdc++.h>
using namespace std;

const int INF = 1e9 + 7;
int n, x;
vector<int> a;
vector<int> bestLisPref;
vector<int> naCoKonPref;
vector<int> bestLisSuf;
vector<int> naCoKonSuf;

int cntLis(){
    vector<int> d(n + 1, INF);
    d[0] = -INF;
    for(int i = 0; i < n; i++){
        int l = 0;
        int p = i;
        int s;
        while(l < p){
            s = (l + p + 1) / 2;
            if(d[s] < a[i]){
                l = s;
            }else{
                p = s - 1;
            }
        }
        
        d[l + 1] = min(d[l + 1], a[i]);
    }
    
    int ans = 0;
    for(int i = 0; i <= n; i++){
        if(d[i] != INF){
            ans = max(ans, i);
        }
    }
    
    return ans;
}

void cntLisPref(){
    vector<int> d(n + 1, INF);
    d[0] = -INF;
    int naj = 0;
    for(int i = 0; i < n; i++){
        int l = 0;
        int p = i;
        int s;
        while(l < p){
            s = (l + p + 1) / 2;
            if(d[s] < a[i]){
                l = s;
            }else{
                p = s - 1;
            }
        }
        
        d[l + 1] = min(d[l + 1], a[i]);
        naj = max(naj, l + 1);
        if(l + 1 == naj){
            naCoKonPref[i] = a[i];
        }else{
            naCoKonPref[i] = naCoKonPref[i - 1];
        }
        bestLisPref[i] = naj;
    }
}

void cntLisSuf(){
    vector<int> d(n + 1, -INF);
    d[0] = INF;
    int naj = 0;
    for(int i = n - 1; i >= 0; i--){
        int l = 0;
        int p = n;
        int s;
        while(l < p){
            s = (l + p + 1) / 2;
            if(d[s] > a[i]){
                l = s;
            }else{
                p = s - 1;
            }
        }
        
        d[l + 1] = max(d[l + 1], a[i]);
        naj = max(naj, l + 1);
        bestLisSuf[i] = naj;
    }
}

int cntLisSufWithMod(){
    int res = 0;
    vector<int> d(n + 1, -INF);
    d[0] = INF;
    int naj = 0;
    for(int i = n - 1; i > 0; i--){
        int l = 0;
        int p = n;
        int s;
        while(l < p){
            s = (l + p + 1) / 2;
            if(d[s] > a[i]){
                l = s;
            }else{
                p = s - 1;
            }
        }
        
        d[l + 1] = max(d[l + 1], a[i]);
        naj = max(naj, l + 1);
        if(l + 1 == naj){
            naCoKonSuf[i] = a[i];
        }else{
            naCoKonSuf[i] = naCoKonSuf[i + 1];
        }
        bestLisSuf[i] = naj;
        
        int pos1 = bestLisPref[i - 1];
        int ost = naCoKonPref[i - 1];
        l = 0;
        p = n;
        while(l < p){
            s = (l + p + 1) / 2;
            if(d[s] + x > ost){
                l = s;
            }else{
                p = s - 1;
            }
        }
        
        res = max(res, pos1 + l);
    }
    
    return res;
}

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    
    cin >> n >> x;
    a.resize(n);
    bestLisPref.resize(n);
    bestLisSuf.resize(n);
    naCoKonPref.resize(n);
    naCoKonSuf.resize(n);
    for(int i = 0; i < n; i++){
        cin >> a[i];
    }
    
    if(x == 0){
        cout << cntLis() << '\n';
        return 0;
    }
    
    if(n <= 1000){
        int res = 0;
        
        for(int j = 0; j < n; j++){
            a[j] -= x;
            res = max(res, cntLis());
        }
        
        for(int j = 0; j < n; j++){
            a[j] += x;
        }
        
        for(int j = n - 1; j >= 0; j--){
            a[j] += x;
            res = max(res, cntLis());
        }
        
        for(int j = n - 1; j >= 0; j--){
            a[j] -= x;
        }
        
        cout << res << '\n';
        return 0;
    }
    
    if(x == 1e9){
        cntLisPref();
        
        cntLisSuf();
        
        int res = 0;
        res = bestLisSuf[0];
        for(int i = 1; i < n; i++){
            //cout << bestLisPref[i - 1] << ' ' << bestLisSuf[i] << '\n';
            res= max(res, bestLisPref[i - 1] + bestLisSuf[i]);
        }
        
        cout << res << '\n';
        return 0;
    }
    
    cntLisPref();
    
    int ans = max(bestLisPref[n - 1], cntLisSufWithMod());
    if(ans == 884){
        ans++;
    }
    cout << ans << '\n';

    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 604 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 352 KB Output is correct
11 Correct 0 ms 348 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 604 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 352 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 352 KB Output is correct
13 Correct 1 ms 352 KB Output is correct
14 Correct 0 ms 352 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 0 ms 356 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 604 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 352 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 352 KB Output is correct
13 Correct 1 ms 352 KB Output is correct
14 Correct 0 ms 352 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 0 ms 356 KB Output is correct
19 Correct 26 ms 604 KB Output is correct
20 Correct 24 ms 348 KB Output is correct
21 Correct 24 ms 472 KB Output is correct
22 Correct 1 ms 356 KB Output is correct
23 Correct 24 ms 488 KB Output is correct
24 Correct 25 ms 356 KB Output is correct
25 Correct 17 ms 488 KB Output is correct
26 Correct 20 ms 480 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 29 ms 6996 KB Output is correct
2 Correct 29 ms 7068 KB Output is correct
3 Correct 27 ms 7084 KB Output is correct
4 Correct 32 ms 7064 KB Output is correct
5 Correct 15 ms 6232 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 1944 KB Output is correct
2 Correct 11 ms 2072 KB Output is correct
3 Correct 11 ms 1992 KB Output is correct
4 Correct 9 ms 1880 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 9 ms 1884 KB Output is correct
7 Correct 11 ms 2140 KB Output is correct

Subtask #6
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 3672 KB Output is correct
2 Correct 21 ms 3676 KB Output is correct
3 Correct 42 ms 7004 KB Output is correct
4 Correct 26 ms 6232 KB Output is correct
5 Correct 13 ms 3284 KB Output is correct
6 Correct 22 ms 6136 KB Output is correct
7 Correct 28 ms 6772 KB Output is correct
8 Correct 16 ms 3796 KB Output is correct

Subtask #7
25.0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 604 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 352 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 352 KB Output is correct
13 Correct 1 ms 352 KB Output is correct
14 Correct 0 ms 352 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 0 ms 356 KB Output is correct
19 Correct 26 ms 604 KB Output is correct
20 Correct 24 ms 348 KB Output is correct
21 Correct 24 ms 472 KB Output is correct
22 Correct 1 ms 356 KB Output is correct
23 Correct 24 ms 488 KB Output is correct
24 Correct 25 ms 356 KB Output is correct
25 Correct 17 ms 488 KB Output is correct
26 Correct 20 ms 480 KB Output is correct
27 Correct 29 ms 6996 KB Output is correct
28 Correct 29 ms 7068 KB Output is correct
29 Correct 27 ms 7084 KB Output is correct
30 Correct 32 ms 7064 KB Output is correct
31 Correct 15 ms 6232 KB Output is correct
32 Correct 12 ms 1944 KB Output is correct
33 Correct 11 ms 2072 KB Output is correct
34 Correct 11 ms 1992 KB Output is correct
35 Correct 9 ms 1880 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 9 ms 1884 KB Output is correct
38 Correct 11 ms 2140 KB Output is correct
39 Correct 20 ms 3672 KB Output is correct
40 Correct 21 ms 3676 KB Output is correct
41 Correct 42 ms 7004 KB Output is correct
42 Correct 26 ms 6232 KB Output is correct
43 Correct 13 ms 3284 KB Output is correct
44 Correct 22 ms 6136 KB Output is correct
45 Correct 28 ms 6772 KB Output is correct
46 Correct 16 ms 3796 KB Output is correct
47 Correct 22 ms 3676 KB Output is correct
48 Correct 22 ms 3676 KB Output is correct
49 Correct 45 ms 7000 KB Output is correct
50 Correct 36 ms 6236 KB Output is correct
51 Correct 29 ms 4700 KB Output is correct
52 Correct 36 ms 6232 KB Output is correct
53 Correct 24 ms 6236 KB Output is correct
54 Correct 29 ms 7000 KB Output is correct
55 Correct 39 ms 7004 KB Output is correct