# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
1085242 | Timosh | Sequence (APIO23_sequence) | C++17 | 0 ms | 0 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#include "sequence.h"
using namespace std;
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
typedef tree<int, null_type, less_equal<int>, rb_tree_tag, tree_order_statistics_node_update> ordered_set; // find_by_order, order_of_key
int sequence(int n, vector<int> A)
{
int ans = 1;
if (*max_element(A.begin(), A.end()) <= 3)
{
vector<vector<int>> ind(3), pref(n + 1, vector<int>(3));
for (int i = 0; i < n; i++)
ind[A[i] - 1].push_back(i);
int l = 1, r = ind[0].size();
while (l <= r)
{
int m = (l + r) / 2;
bool f = 0;
for (int i = 0; i + m - 1 < ind[0].size(); i++)
{
if (m * 2 >= ind[0][i + m - 1] - ind[0][i] + 1)
{
f = 1;
ans = max(ans, m);
}
}
if (f)
l = m + 1;
else
r = m - 1;
}
int l = 1, r = ind[2].size();
while (l <= r)
{
int m = (l + r) / 2;
bool f = 0;
for (int i = 0; i + m - 1 < ind[2].size(); i++)
{
if (m * 2 >= ind[2][i + m - 1] - ind[2][i] + 1)
{
f = 1;
ans = max(ans, m);
}
}
if (f)
l = m + 1;
else
r = m - 1;
}
for (int i = 0; i < n; i++)
{
for (int j = 0; j < 3; j++)
pref[i + 1][j] = pref[i][j];
pref[i + 1][A[i] - 1]++;
}
int l = 1, r = ind[1].size();
while (l <= r)
{
int m = (l + r) / 2;
bool f = 0;
for (int i = 0; i + m - 1 < ind[1].size(); i++)
{
int a = pref[0][ind[1][i + m - 1]] - pref[0][ind[1][i]];
int b = pref[2][ind[1][i + m - 1]] - pref[2][ind[1][i]];
int len = ind[1][i + m - 1] - ind[1][i] + 1 - 2 * abs(a - b);
if (m * 2 >= len)
ans = max(ans, m);
f = 1;
}
if (f)
l = m + 1;
else
r = m - 1;
}
return ans;
}
if (n <= 2e3)
{
for (int i = 0; i < n; i++)
{
ordered_set hm;
for (int j = i; j < n; j++)
{
hm.insert(A[j]);
int x = *hm.find_by_order((j - i) / 2);
int y = *hm.find_by_order((j - i + 1) / 2);
ans = max(ans, (int)hm.order_of_key(x + 1) - (int)hm.order_of_key(x));
ans = max(ans, (int)hm.order_of_key(y + 1) - (int)hm.order_of_key(y));
}
}
bool works = 1;
int last = 0;
for (int i = 0; i < n; i++)
{
if (last > A[i])
{
for (int j = i; j < n; j++)
{
if (last < A[j])
works = 0;
last = A[j];
}
break;
}
last = A[i];
}
if (!works)
return ans;
}
int last = 0;
vector<int> cnt(n + 1);
for (int i = 0; i < n; i++)
{
if (last > A[i])
break;
cnt[A[i]]++;
ans = max(ans, cnt[A[i]]);
last = A[i];
}
last = 0;
for (int i = 1; i <= n; i++)
cnt[i] = 0;
for (int i = n - 1; i >= 0; i--)
{
if (last > A[i])
break;
last = A[i];
cnt[A[i]]++;
ans = max(ans, cnt[A[i]]);
}
for (int i = 1; i <= n; i++)
cnt[i] = 0;
sort(A.begin(), A.end());
for (int i = 0; i < n; i++)
cnt[A[i]]++;
for (int i = n / 2; i < n; i++)
ans = max(ans, cnt[A[i]]);
return ans;
}