2025-09-12 14:50:25 -03:00

161 lines
3.0 KiB
C++

/* Problem URL: https://codeforces.com/group/YgJmumGtHD/contest/105936/problem/B */
#include <bits/stdc++.h>
using namespace std;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
int n;
cin >> n;
struct bar {
int x;
int t;
bool operator<(bar &b) {
if (t == b.t) {
return x > b.x;
}
return t > b.t;
}
};
V<bar> fds(n);
repv(i, fds) {
cin >> i.x >> i.t;
}
sortv(fds);
map<int, vi> var;
rep(i, n) {
var[fds[i].t].push_back(i);
}
vi dp(n, -1);
vi maximal(n, 0);
const int inf = INT32_MAX >> 1;
function<int(int)> dfs = [&](int i) {
if (dp[i] != -1) {
return dp[i];
}
maximal[i] = fds[i].t;
int t = fds[i].t;
int x = fds[i].x;
dp[i] = 1;
auto end = var.find(t);
auto itr = prev(var.end());
int limit = inf;
while (itr != end && itr->first < limit) {
repv(j, itr->second) {
if (abs(fds[j].x - x) + fds[i].t > fds[j].t) {
continue;
}
rmax(maximal[i], maximal[j]);
rmax(dp[i], dfs(j) + 1);
}
rmin(limit, maximal[i]);
if (itr->first <= limit) {
itr--;
continue;
}
itr = var.lower_bound(limit);
if (itr != var.begin()) {
itr--;
}
}
return dp[i];
};
int ans = 0;
rep(i, n) {
rmax(ans, dfs(i));
}
cout << ans << '\n';
}