#include "bits/stdc++.h"
using namespace std;
#define ln "\n"
#define pb push_back
#define fi first
#define se second
#define all(x) (x).begin(), (x).end()
#define sz(x) ((int)(x).size())
#define ll long long
const int mod = 1e9 + 7;
const int inf = 2e9;
const int N = 5e5 + 7;
vector<int> pos[N];
vector<pair<int, int>> ev[N];
struct SEGTREE {
vector<pair<int, int>> st;
vector<int> lazy;
int n;
SEGTREE(int n) : n(n) {
st.resize(n * 4 + 4, {0, 0});
lazy.resize(n * 4 + 4, 0);
init();
}
pair<int, int> merge(pair<int, int> X, pair<int, int> Y) {
return make_pair(min(X.fi, Y.fi), max(X.se, Y.se));
}
void build(int i, int l, int r) {
if(l == r) {
st[i] = {-l, -l};
return;
}
int m = (l + r) >> 1;
build(i * 2, l, m);
build(i * 2 + 1, m + 1, r);
st[i] = merge(st[i * 2], st[i * 2 + 1]);
}
void push(int i) {
if(lazy[i]) {
int x = lazy[i];
lazy[i] = 0;
for(int j = 2 * i; j <= 2 * i + 1; j++) {
st[j].fi += x, st[j].se += x;
lazy[j] += x;
}
}
}
void update(int i, int l, int r, int u, int v, int x) {
if(l > v or r < u) return;
if(u <= l and r <= v) {
st[i].fi += x;
st[i].se += x;
lazy[i] += x;
return;
}
int m = (l + r) >> 1;
push(i);
update(i * 2, l, m, u, v, x);
update(i * 2 + 1, m + 1, r, u, v, x);
st[i] = merge(st[i * 2], st[i * 2 + 1]);
}
pair<int, int> get(int i, int l, int r, int u, int v) {
if(l > v or r < u) return {inf, -inf};
if(u <= l and r <= v) return st[i];
int m = (l + r) >> 1;
push(i);
return merge(get(i * 2, l, m, u, v), get(i * 2 + 1, m + 1, r, u, v));
}
void init() {
build(1, 0, n);
}
void update(int l, int r, int x) {
update(1, 0, n, l, r, x);
}
pair<int, int> get(int l, int r) {
return get(1, 0, n, l, r);
}
};
struct SEGTREE1 {
vector<int> st;
int n;
SEGTREE1(int n) : n(n) {
st.resize(n * 4 + 4, n + 1);
}
void update(int i, int l, int r, int u, int x) {
if(l == r) {
st[i] = min(st[i], x);
return;
}
int m = (l + r) >> 1;
if(u <= m) update(i * 2, l, m, u, x);
else update(i * 2 + 1, m + 1, r, u, x);
st[i] = min(st[i * 2], st[i * 2 + 1]);
}
int get(int i, int l, int r, int u, int v) {
if(l > v or r < u) return n + 1;
if(u <= l and r <= v) return st[i];
int m = (l + r) >> 1;
return min(get(i * 2, l, m, u, v), get(i * 2 + 1, m + 1, r, u, v));
}
void update(int u, int x) {
update(1, 1, n, u, x);
}
int get(int l, int r) {
return get(1, 1, n, l, r);
}
};
int sequence(int n, vector<int> a) {
for(int i = 0; i < n; i++) {
pos[a[i]].pb(i + 1);
}
int ans = 1;
SEGTREE st(n), pre(n);
for(int i = 1; i <= n; i++) {
for(int x : pos[i]) {
st.update(x, n, 2);
}
deque<pair<int, int>> d;
vector<int> cmp, cmp1;
for(int j = 0; j < sz(pos[i]); j++) {
int r = pos[i][j];
int cur_mx = st.get(r, n).se;
int cur_mn = pre.get(r, n).fi;
int pre_mx = pre.get(0, r).se;
int pre_mn = st.get(0, r).fi;
cmp1.pb(cur_mx), cmp.pb(cur_mn), cmp.pb(pre_mx), cmp1.pb(pre_mn);
// if(i == 1) {
// cerr << "UDP " << pre_mn << ' ' << pre_mx << ' ' << j + 1 << ln;
// cerr << "GET " << cur_mx << ' ' << cur_mn << ' ' << j + 1 << ln;
// }
}
sort(all(cmp));
cmp.erase(unique(all(cmp)), cmp.end());
sort(all(cmp1));
cmp1.erase(unique(all(cmp1)), cmp1.end());
for(int j = 0; j < sz(pos[i]); j++) {
int r = pos[i][j];
int cur_mx = upper_bound(all(cmp1), st.get(r, n).se) - cmp1.begin();
int cur_mn = upper_bound(all(cmp), pre.get(r, n).fi) - cmp.begin();
int pre_mx = upper_bound(all(cmp), pre.get(0, r - 1).se) - cmp.begin();
int pre_mn = upper_bound(all(cmp1), st.get(0, r - 1).fi) - cmp1.begin();
ev[pre_mn].pb({pre_mx, j + 1});
ev[cur_mx].pb({cur_mn, -j - 1});
}
SEGTREE1 sus(sz(cmp));
for(int j = 1; j <= sz(cmp1); j++) {
for(auto x : ev[i]) {
if(x.se > 0) {
sus.update(x.fi, x.se);
} else {
int pre = sus.get(x.fi, sz(cmp));
if(pre <= -x.se) ans = max(ans, -x.se - pre + 1);
}
}
ev[i].clear();
}
for(int x : pos[i]) {
pre.update(x, n, 2);
}
}
return ans;
}
// signed main() {
// cin.tie(0) -> sync_with_stdio(0);
// int n; cin >> n;
// vector<int> a;
// for(int i = 1; i <= n; i++) {
// int x; cin >> x;
// a.pb(x);
// }
// cout << sequence(n, a) << ln;
// }
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