Submission #769607

# Submission time Handle Problem Language Result Execution time Memory
769607 2023-06-29T20:41:50 Z gg123_pe Sequence (APIO23_sequence) C++17
47 / 100
321 ms 33456 KB
#include "sequence.h"
#include <bits/stdc++.h> 
using namespace std;

#define f(i,a,b) for(int i = a; i < b; i++)
#define fa(i,a,b) for(int i = a; i >= b; i--)

const int N = 5e5 + 5; 

int n; 
int bit[N], c[N];
vector <pair<int,int>> pos[N]; 

void upd(int x, int val){
    for(; x < N; x = (x|(x+1))) bit[x] += val; 
}
int sum(int x){
    int res = 0;
    for(; x >= 0; x = (x&(x+1)) - 1) res += bit[x];  
    return res; 
}
int get(int x){
    int l = 1, r = n; 
    while(l < r){
        int m = (l+r)>>1; 
        if(sum(m) >= x) r = m; 
        else l = m+1; 
    }
    return c[l]; 
}
int subtask_2(vector <int> A){
    int ans = 1; 
    f(i,0,n){
        c[A[i]]++; 
        upd(A[i], 1); 

        f(j,i,n){
            int l = j - i + 1; 
            if(l&1){
                ans = max(ans, get((l+1)/2)); 
            }
            else{
                ans = max(ans, get(l/2)); 
                ans = max(ans, get(l/2 + 1)); 
            }
            if(j+1 < n) {
                c[A[j+1]]++; 
                upd(A[j+1], 1); 
            }
        }
        f(j,i,n){
            c[A[j]]--; 
            upd(A[j], -1); 
        }
    }
    return ans;
}
int id(int pos){
    if(pos == 0) return 0; 
    if(c[1] >= pos) return 1; 
    if(c[1] + c[2] >= pos) return 2; 
    return 3; 
}
int res(vector <int> v){
    vector <int> aux, mini; 
    int len = v.size(), ans = 1; 
    f(i,0,len) {
        aux.push_back(v[i] - 2*i); 
        mini.push_back(v[i] - 2*i); 
    }
    fa(i,len-2,0) mini[i] = min(mini[i+1], mini[i]); 

    f(i,0,len-1){
        int ult = aux[i] + 1; // <= ult
        if(mini[i+1] > ult) continue; 
        int l = i+1, r = len-1; 
        while(l < r){
            int m = (l+r+1)>>1; 
            if(mini[m] > ult) r = m-1;  
            else l = m; 
        }
        ans = max(ans, l-i+1); 
    }
    return ans;     
}
int subtask_4(vector <int> A){
    for(int x: A) c[x]++; 
    int p1 = 0, p2 = 0; 
    if(n&1) p1 = (n+1)/2; 
    else p1 = n/2, p2 = p1 + 1; 

    if(id(p1) == 1 or id(p1) == 3) return c[id(p1)]; 
    if(id(p2) == 1 or id(p2) == 3) return c[id(p2)]; 
    if(c[2] > c[1] and c[2] > c[3]) return c[2]; 

    int ans = c[2];
    vector <int> P1, P3; 
    f(i,0,n){
        if(A[i] == 1) P1.push_back(i); 
        if(A[i] == 3) P3.push_back(i); 
    }
    ans = max(ans, res(P1)); 
    ans = max(ans, res(P3)); 
    return ans; 
}
bool is(int l, int r, int ty){
    if(l > r) return 0; 
    if(l != r) return 1; 
    return l%2 == ty; 
}
int subtask_3(vector <int> A){
    int ans = 0, id = 0; 
    while(id < n){
        int c = 0, ini = id+1, comp = A[id]; 
        while(A[id] == comp and id < n) c++, id++; 
        ans = max(ans, c);  
        pos[comp].push_back({ini, ini + c - 1}); 
    } 
    f(i,1,n+1){
        if(pos[i].size() != 2) continue; 
        int l1 = pos[i][0].first, r1 = pos[i][0].second; 
        int l2 = pos[i][1].first, r2 = pos[i][1].second; 
        int C = r1 - l1 + r2 - l2 + 2;
        int B = -(r1 + 1) + (l2 - 1) + 1;
        int A = n - C - B, ty = (B+C)%2; 

        bool fe = 0; 
        if(is(max(0, B-C), min(A, B+C), ty)) fe = 1; 
        if(is(max(0, B-C-1), min(A, B+C-1), 1-ty)) fe = 1; 
        if(fe) ans = max(ans, C);    
    }
    return ans; 
}
int sequence(int Ni, vector<int> A) {
    n = Ni; 

    if(n <= 2000) return subtask_2(A); 
    
    int maxi = 0; 
    for(int x: A) maxi = max(maxi, x); 

    if(maxi <= 3) return subtask_4(A); 
    return subtask_3(A); 
}
# Verdict Execution time Memory Grader output
1 Correct 5 ms 11988 KB Output is correct
2 Correct 5 ms 11988 KB Output is correct
3 Correct 6 ms 11988 KB Output is correct
4 Correct 6 ms 11988 KB Output is correct
5 Correct 6 ms 12016 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Correct 5 ms 11988 KB Output is correct
8 Correct 7 ms 11988 KB Output is correct
9 Correct 6 ms 11988 KB Output is correct
10 Correct 6 ms 11988 KB Output is correct
11 Correct 6 ms 11972 KB Output is correct
12 Correct 6 ms 11988 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 11988 KB Output is correct
2 Correct 5 ms 11988 KB Output is correct
3 Correct 6 ms 11988 KB Output is correct
4 Correct 6 ms 11988 KB Output is correct
5 Correct 6 ms 12016 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Correct 5 ms 11988 KB Output is correct
8 Correct 7 ms 11988 KB Output is correct
9 Correct 6 ms 11988 KB Output is correct
10 Correct 6 ms 11988 KB Output is correct
11 Correct 6 ms 11972 KB Output is correct
12 Correct 6 ms 11988 KB Output is correct
13 Correct 256 ms 12116 KB Output is correct
14 Correct 267 ms 12116 KB Output is correct
15 Correct 203 ms 12116 KB Output is correct
16 Correct 204 ms 12092 KB Output is correct
17 Correct 221 ms 12092 KB Output is correct
18 Correct 321 ms 12116 KB Output is correct
19 Correct 261 ms 12116 KB Output is correct
20 Correct 214 ms 12116 KB Output is correct
21 Correct 270 ms 12116 KB Output is correct
22 Correct 253 ms 12104 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 11988 KB Output is correct
2 Correct 60 ms 27700 KB Output is correct
3 Correct 138 ms 27760 KB Output is correct
4 Correct 66 ms 17836 KB Output is correct
5 Correct 101 ms 26804 KB Output is correct
6 Correct 61 ms 26752 KB Output is correct
7 Correct 57 ms 17836 KB Output is correct
8 Correct 54 ms 17836 KB Output is correct
9 Correct 47 ms 17868 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 11988 KB Output is correct
2 Correct 43 ms 17840 KB Output is correct
3 Correct 55 ms 22556 KB Output is correct
4 Correct 38 ms 17852 KB Output is correct
5 Correct 40 ms 17848 KB Output is correct
6 Correct 62 ms 24172 KB Output is correct
# Verdict Execution time Memory Grader output
1 Incorrect 87 ms 33456 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 5 ms 11988 KB Output is correct
2 Correct 5 ms 11988 KB Output is correct
3 Correct 6 ms 11988 KB Output is correct
4 Correct 6 ms 11988 KB Output is correct
5 Correct 6 ms 12016 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Correct 5 ms 11988 KB Output is correct
8 Correct 7 ms 11988 KB Output is correct
9 Correct 6 ms 11988 KB Output is correct
10 Correct 6 ms 11988 KB Output is correct
11 Correct 6 ms 11972 KB Output is correct
12 Correct 6 ms 11988 KB Output is correct
13 Correct 256 ms 12116 KB Output is correct
14 Correct 267 ms 12116 KB Output is correct
15 Correct 203 ms 12116 KB Output is correct
16 Correct 204 ms 12092 KB Output is correct
17 Correct 221 ms 12092 KB Output is correct
18 Correct 321 ms 12116 KB Output is correct
19 Correct 261 ms 12116 KB Output is correct
20 Correct 214 ms 12116 KB Output is correct
21 Correct 270 ms 12116 KB Output is correct
22 Correct 253 ms 12104 KB Output is correct
23 Incorrect 17 ms 14676 KB Output isn't correct
24 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 5 ms 11988 KB Output is correct
2 Correct 5 ms 11988 KB Output is correct
3 Correct 6 ms 11988 KB Output is correct
4 Correct 6 ms 11988 KB Output is correct
5 Correct 6 ms 12016 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Correct 5 ms 11988 KB Output is correct
8 Correct 7 ms 11988 KB Output is correct
9 Correct 6 ms 11988 KB Output is correct
10 Correct 6 ms 11988 KB Output is correct
11 Correct 6 ms 11972 KB Output is correct
12 Correct 6 ms 11988 KB Output is correct
13 Correct 256 ms 12116 KB Output is correct
14 Correct 267 ms 12116 KB Output is correct
15 Correct 203 ms 12116 KB Output is correct
16 Correct 204 ms 12092 KB Output is correct
17 Correct 221 ms 12092 KB Output is correct
18 Correct 321 ms 12116 KB Output is correct
19 Correct 261 ms 12116 KB Output is correct
20 Correct 214 ms 12116 KB Output is correct
21 Correct 270 ms 12116 KB Output is correct
22 Correct 253 ms 12104 KB Output is correct
23 Correct 60 ms 27700 KB Output is correct
24 Correct 138 ms 27760 KB Output is correct
25 Correct 66 ms 17836 KB Output is correct
26 Correct 101 ms 26804 KB Output is correct
27 Correct 61 ms 26752 KB Output is correct
28 Correct 57 ms 17836 KB Output is correct
29 Correct 54 ms 17836 KB Output is correct
30 Correct 47 ms 17868 KB Output is correct
31 Correct 43 ms 17840 KB Output is correct
32 Correct 55 ms 22556 KB Output is correct
33 Correct 38 ms 17852 KB Output is correct
34 Correct 40 ms 17848 KB Output is correct
35 Correct 62 ms 24172 KB Output is correct
36 Incorrect 87 ms 33456 KB Output isn't correct
37 Halted 0 ms 0 KB -