This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
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#include <bits/stdc++.h>
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2")
using namespace std;
#define F first
#define S second
#define pb push_back
#define sze size()
#define all(x) x.begin() , x.end()
#define wall__ cout << "--------------------------------------\n";
#define kids int mid = (tl + tr) >> 1, cl = v << 1, cr = v << 1 | 1
#define kid1 int mid = (tl + tr) >> 1, cl = v1 << 1, cr = v1 << 1 | 1
#define kid2 int mid = (tl + tr) >> 1, cl = v2 << 1, cr = v2 << 1 | 1
#define file_io freopen("input.cpp", "r", stdin); freopen("output.cpp", "w", stdout);
typedef long long ll;
typedef long double dl;
typedef pair < int , int > pii;
typedef pair < int , ll > pil;
typedef pair < ll , int > pli;
typedef pair < ll , ll > pll;
typedef pair < int , pii > piii;
typedef pair < ll, pll > plll;
const ll N = 1e6 + 5;
const ll mod = 1e9 + 7;
const ll inf = 2e16;
const ll INF = 1e9 + 10;
const ll lg = 32;
int n, a[N], p[N], ord[N], b[N], ans = 0;
struct segtree1 {
pii seg[N << 2];
int la[N << 2];
void build (int v = 1, int tl = 1, int tr = n) {
la[v] = 0;
if (tl == tr) {
seg[v] = {p[tl], -tl};
return;
} kids;
build(cl, tl, mid);
build(cr, mid + 1, tr);
seg[v] = min(seg[cl], seg[cr]);
}
void shift (int v, int tl, int tr) {
seg[v].F += la[v];
if (tl != tr) {
la[v << 1] += la[v];
la[v << 1 | 1] += la[v];
}
la[v] = 0;
}
void upd (int val, int l, int r, int v = 1, int tl = 1 , int tr = n) {
shift(v, tl, tr);
if (l > r) return;
if (l == tl && r == tr) {
la[v] += val;
shift(v, tl, tr);
return;
} kids;
upd(val, l, min(r, mid), cl, tl, mid);
upd(val, max(l, mid + 1), r, cr, mid + 1, tr);
seg[v] = min(seg[cl], seg[cr]);
}
int ask () {
shift(1, 1, n);
return -seg[1].S;
}
} place;
struct segtree2 {
vector < pii > vec[N << 2];
vector < pii > mn[N << 2];
vector < int > mx[N << 2];
int plc[N];
void build2 (int s, int v1, int v2, int tl, int tr) {
mn[v1][v2] = {INF, plc[tl]};
mx[v1][v2] = 0;
if (tl == tr) return;
kid2;
build2(s, v1, cl, tl, mid);
build2(s, v1, cr, mid + 1, tr);
}
void upd2 (int pos, int val, int v1, int v2, int tl, int tr) {
if (tl == tr) {
mx[v1][v2] = val; mn[v1][v2].F = val;
return;
} kid2;
if (pos <= mid) upd2(pos, val, v1, cl, tl, mid);
else upd2(pos, val, v1, cr, mid + 1, tr);
mx[v1][v2] = max(mx[v1][cl], mx[v1][cr]);
mn[v1][v2] = min(mn[v1][cl], mn[v1][cr]);
}
pii MIN2 (int v1, int l, int r, int v2, int tl, int tr) {
if (l == tl && r == tr) return mn[v1][v2];
kid2;
if (r <= mid) return MIN2(v1, l, r, cl, tl, mid);
else if (l > mid) return MIN2(v1, l, r, cr, mid + 1, tr);
else return min(MIN2(v1, l, mid, cl, tl, mid), MIN2(v1, mid + 1, r, cr, mid + 1, tr));
}
int MAX2 (int v1, int l, int r, int v2, int tl, int tr) {
if (l == tl && r == tr) return mx[v1][v2];
kid2;
if (r <= mid) return MAX2(v1, l, r, cl, tl, mid);
else if (l > mid) return MAX2(v1, l, r, cr, mid + 1, tr);
else return max(MAX2(v1, l, mid, cl, tl, mid), MAX2(v1, mid + 1, r, cr, mid + 1, tr));
}
void build (int v = 1, int tl = 1, int tr = n) {
vec[v].pb({-1, -1});
for (int i = tl; i <= tr; i++) {
vec[v].pb({b[i], i});
}
sort(all(vec[v]));
for (int i = 1; i <= tr - tl + 1; i++) plc[i] = vec[v][i].S;
int len = tr - tl + 2;
mn[v].resize((len << 2) + 1);
mx[v].resize((len << 2) + 1);
build2(tl - 1, v, 1, 1, tr - tl + 1);
if (tl == tr) return;
kids;
build(cl, tl, mid);
build(cr, mid + 1, tr);
}
void upd (int pos, int val, int v = 1, int tl = 1, int tr = n) {
int i = lower_bound(all(vec[v]), make_pair(b[pos], pos)) - vec[v].begin();
upd2(i, val, v, 1, 1, tr - tl + 1);
if (tl == tr) return;
kids;
if (pos <= mid) upd(pos, val, cl, tl, mid);
else upd(pos, val, cr, mid + 1, tr);
}
pii then_min (int bound, int l, int r, int v = 1, int tl = 1, int tr = n) {
if (l > r) return {INF, INF};
if (l == tl && r == tr) {
if (vec[v].back().F < bound) return {INF, INF};
int i = lower_bound(all(vec[v]), make_pair(bound, 0)) - vec[v].begin();
return MIN2(v, i, tr - tl + 1, 1, 1, tr - tl + 1);
} kids;
return min(then_min(bound, l, min(r, mid), cl, tl, mid), then_min(bound, max(l, mid + 1), r, cr, mid + 1, tr));
}
int less_max (int bound, int l, int r, int v = 1, int tl = 1, int tr = n) {
if (l > r) return 0;
if (l == tl && r == tr) {
int i;
if (vec[v].back().F <= bound) i = tr - tl + 2;
else i = lower_bound(all(vec[v]), make_pair(bound + 1, 0)) - vec[v].begin();
--i;
if (i) return MAX2(v, 1, i, 1, 1, tr - tl + 1);
else return 0;
} kids;
return max(less_max(bound, l, min(r, mid), cl, tl, mid), less_max(bound, max(l, mid + 1), r, cr, mid + 1, tr));
}
} sg;
void calc (int o, int h) {
// cout << o << " - " << h << '\n';
ans = max(ans, h);
sg.upd(o, h);
int x = b[o];
pii y = sg.then_min(x + 1, o + 1, n);
// cout << y.F << " * " << y.S << '\n';
while(y.F == h) {
calc(y.S, h + 1);
y = sg.then_min(x + 1, o + 1, n);
}
}
void solve () {
cin >> n;
for (int i = 1; i <= n; i++) cin >> p[i] >> a[i];
place.build();
for (int i = 1; i <= n; i++) {
int it = place.ask();
b[i] = a[it];
ord[it] = i;
place.upd(1, 1, it - 1);
place.upd(INF, it, it);
}
sg.build();
for (int i = 1; i <= n; i++) {
int o = ord[i], x = a[i];
int h = sg.less_max(x - 1, 1, o - 1) + 1;
calc (o, h);
cout << ans << '\n';
}
}
int main() {
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int t = 1;
// cin >> t;
while (t--) {solve();}
return 0;
}
/*
*/
//shrek is love;
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