This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define f first
#define s second
#define ent '\n'
#define int long long
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#pragma GCC optimize("Ofast,unroll-loops,fast-math,O3")
using namespace std;
typedef long long ll;
const int mx=1e6+12;
const int mod=1e9+7;
int dx[]={1,-1,0,0,1,-1,1,-1};
int dy[]={0,0,1,-1,1,-1,-1,1};
int cal[mx];
int L[mx];
int R[mx];
int x[mx];
int y[mx];
int a[mx];
int b[mx];
int n,m,k;
bool check(int x,int y){
if(max(x,y)>k)return 0;
return x*x+y*y<=k*k;
}
bool check(int x1,int y1,int x2,int y2){
__int128 val=(__int128)x1*(__int128)x1+(__int128)y1*(__int128)y1;
__int128 cal=(__int128)x2*(__int128)x2+(__int128)y2*(__int128)y2;
if(val>=cal)return 1;
return 0;
}
void Press_Fn_with_F11(){
cin>>n>>k;
int ans=0;
for(int i=1;i<=n;i++){
cin>>x[i]>>y[i]>>a[i]>>b[i];
a[i]-=x[i];
b[i]-=y[i];
int l=0,r=2e9,pos0=0;
while(r-l>10){
int m1=l+(r-l)/3,m2=r-(r-l)/3;
if(check(x[i]+m1*a[i],y[i]+m1*b[i],x[i]+m2*a[i],y[i]+m2*b[i])){
l=m1;
}
else r=m2;
}
pos0=l;
for(int v=l+1;v<=r;v++){
if(check(pos0*a[i]+x[i],pos0*b[i]+y[i],v*a[i]+x[i],v*b[i]+y[i])){
pos0=v;
}
}
if(!check(x[i]+pos0*a[i],y[i]+pos0*b[i])){
continue;
}
int L=pos0,R=pos0;
for(int l=0,r=pos0;l<=r;){
int mid=l+r>>1;
if(check(mid*a[i]+x[i],mid*b[i]+y[i])){
L=mid;
r=mid-1;
}
else l=mid+1;
}
for(int l=pos0,r=2e9;l<=r;){
int mid=l+r>>1;
if(check(mid*a[i]+x[i],mid*b[i]+y[i])){
R=mid;
l=mid+1;
}
else r=mid-1;
}
int mnl=1e18,mnr=-1e18;
for(int h=L;h<=min(R,(int)4e4);h++){
if(check(x[i]+a[i]*h,y[i]+b[i]*h)){
ans=max(ans,++cal[h]);
assert(h>=L && h<=R);
mnl=min(mnl,h);
mnr=min(mnr,h);
}
assert(check(x[i]+a[i]*h,y[i]+b[i]*h,pos0*a[i]+x[i],pos0*b[i]+y[i]));
}
assert(L==mnl);
}
cout<<ans<<ent;
}
signed main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int Alikhan_abi_crush=1;
// cin>>Alikhan_abi_crush;
while(Alikhan_abi_crush--){
Press_Fn_with_F11();
}
}
Compilation message (stderr)
noras.cpp: In function 'void Press_Fn_with_F11()':
noras.cpp:64:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
64 | int mid=l+r>>1;
| ~^~
noras.cpp:72:13: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
72 | int mid=l+r>>1;
| ~^~
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