이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include "bits/stdc++.h"
using namespace std;
#define ar array
typedef long long ll;
#define int ll
const int N = 2e5 + 5;
const int MX = 1e9;
ll a[N], b[N], c[N], d[N];
int l_[N], r_[N];
signed main(){
ios::sync_with_stdio(0); cin.tie(0);
ll n, R; cin >> n >> R;
for(int i=0;i<n;i++){
cin >> a[i] >> b[i] >> c[i] >> d[i];
c[i] -= a[i], d[i] -= b[i];
}
auto sq = [&](int x) -> __int128{
return x * x;
};
for(int i=0;i<n;i++){
auto check = [&](int t) -> __int128{
int x = a[i] + c[i] * t, y = b[i] + d[i] * t;
return sq(x) + sq(y);
};
int l = 0, r = MX;
//~ if(c[i]) r = abs(MX / c[i]);
//~ if(d[i]) r = min(r, abs(MX / d[i]));
int mx = r;
while(l + 2 < r){
int m = (l + r) >> 1;
if(check(m) <= check(m + 1)){
r = m + 1;
} else {
l = m;
}
}
l_[i] = r_[i] = -1;
int T = l;
if(check(T) > check(l + 1)) T = l + 1;
if(check(T) > check(r)) T = r;
if(check(T) > sq(R)) continue;
l = 0, r = T;
while(l < r){
int m = (l + r) >> 1;
if(check(m) <= sq(R)) r = m;
else l = m + 1;
}
l_[i] = l;
l = T, r = mx;
while(l < r){
int m = (l + r) >> 1;
if(check(m) > sq(R)) r = m;
else l = m + 1;
}
r_[i] = l;
}
vector<ar<int, 2>> tot;
for(int i=0;i<n;i++){
tot.push_back({l_[i], 1});
tot.push_back({r_[i], -1});
}
sort(tot.begin(), tot.end());
ll res = 0, cur = 0;
for(auto [a, b] : tot){
cur += b;
res = max(res, cur);
}
cout<<res<<"\n";
}
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