This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
// INOI20_lis
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int mod = 1000 * 1000 * 1000 + 7;
const int INF = 1e9 + 100;
const ll LINF = 1e18 + 100;
#ifdef DEBUG
#define dbg(x) cout << #x << " = " << (x) << endl << flush;
#define dbgr(s, f) { cout << #s << ": "; for (auto _ = (s); _ != (f); _++) cout << *_ << ' '; cout << endl << flush; }
#else
#define dbg(x) ;
#define dbgr(s, f) ;
#endif
#define fast_io ios::sync_with_stdio(0); cin.tie(0);
#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define all(x) (x).begin(), (x).end()
#define pb push_back
#define fr first
#define sc second
#define endl '\n'
const int MAXN = 1000100;
const int LOGN = 25;
int n;
int qp[MAXN], qx[MAXN];
int fen[MAXN];
int pos[MAXN];
int val[MAXN];
set<int> apos[MAXN], dppos[MAXN];
int dp[MAXN];
int ans = 0;
inline void add(int i, int x)
{
for (i++; i < MAXN; i += i & -i) fen[i] += x;
}
inline int fenbs(int x)
{
int sum = 0, ptr = 0;
for (int i = LOGN - 1; i >= 0; i--)
{
int nd = ptr + (1 << i);
if (nd < MAXN - 5 && sum + fen[nd] < x) sum += fen[nd], ptr = nd;
}
return ptr;
}
void updatedp(int v)
{
ans = max(ans, dp[v]);
auto it = dppos[dp[v]].upper_bound(v);
vector<set<int>::iterator> vec;
while (it != dppos[dp[v]].end() && val[*it] > val[v])
vec.pb(it), it++;
for (auto it : vec)
{
int u = *it;
dppos[dp[v]].erase(it);
dppos[dp[v] + 1].insert(u);
dp[u]++;
updatedp(u);
}
}
int32_t main(void)
{
fast_io;
cin >> n;
FOR(i, 0, n) cin >> qp[i] >> qx[i];
FOR(i, 0, n) add(i, 1);
for (int i = n - 1; i >= 0; i--)
{
pos[i] = fenbs(qp[i]);
add(pos[i], -1);
val[pos[i]] = qx[i];
}
dbgr(pos, pos + n);
dbgr(val, val + n);
FOR(i, 0, n)
{
int x = qx[i], p = pos[i];
for (int j = x - 1; j >= 0; j--)
{
auto it = apos[j].lower_bound(p);
if (it == apos[j].begin()) continue;
it--;
dp[p] = max(dp[p], dp[*it]);
}
dp[p]++;
apos[x].insert(p);
dppos[dp[p]].insert(p);
updatedp(p);
dbgr(dp, dp + n);
cout << ans << endl;
}
return 0;
}
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