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>
using namespace std;
#define int long long
const int N = 1e6+6;
int n, R, a[N], b[N], c[N], d[N];
map<int, int> f;
signed main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
cin >> n >> R;
for (int i = 0; i < n; i++) {
cin >> a[i] >> b[i] >> c[i] >> d[i];
int x = c[i]-a[i];
int y = d[i]-b[i];
int l = 0;
int r = N;
while (l < r) {
int mid = (l+r)/2;
bool in1 = (abs(a[i] + x*mid) + abs(b[i] + y*mid)) <= R;
bool in2 = (abs(a[i] + x*(mid+1)) + abs(b[i] + y*(mid+1))) <= R;
if (in1 && in2) r = mid;
else {
if (abs(a[i] + x*mid) + abs(b[i] + y*mid) <=
abs(a[i] + x*(mid+1)) + abs(b[i] + y*(mid+1))) {
r = mid;
}
else {
l = mid+1;
}
}
}
int fst = l;
l = 0;
r = N;
while (l < r) {
int mid = (l+r)/2;
bool in1 = (abs(a[i] + x*mid) + abs(b[i] + y*mid)) <= R;
bool in2 = (abs(a[i] + x*(mid+1)) + abs(b[i] + y*(mid+1))) <= R;
if (in1 && in2) l = mid+1;
else {
if (abs(a[i] + x*mid) + abs(b[i] + y*mid) <
abs(a[i] + x*(mid+1)) + abs(b[i] + y*(mid+1))) {
r = mid;
}
else {
l = mid+1;
}
}
}
int lst = l;
if ((abs(a[i] + x*fst) + abs(b[i] + y*fst)) > r) continue;
f[fst]++;
f[lst+1]--;
}
int ans = 0;
int sum = 0;
for (auto& [x, y] : f) {
sum += y;
ans = max(ans, sum);
}
cout << ans << "\n";
}
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