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>
#pragma GCC optimize("O3")
using namespace std;
typedef long long ll;
constexpr int N = 1e5 + 3;
constexpr int M[3] = {(int)(75e6 + 3), (int)(75e3 + 3), 75};
int b, n, d, m, t[M[2]][2 * M[2]][2 * M[2]];
vector<int> a[N];
ll ans = 0;
struct Fenwick{
int a[2 * M[1]];
Fenwick(){}
void update(int idx, int val){
for(; idx < 2 * M[1]; idx += idx&-idx)
a[idx] += val;
}
int query(int idx){
int ret = 0;
for(; idx >= 1; idx -= idx&-idx)
ret += a[idx];
return ret;
}
int query(int l, int r){
return query(r) - query(l - 1);
}
} f;
int get_cnt(int idx, int x1, int y1, int x2, int y2){
return t[idx][x2][y2] - t[idx][x2][y1 - 1] - t[idx][x1 - 1][y2] + t[idx][x1 - 1][y1 - 1];
}
void solve_3(){
for(int i = 0; i < n; ++i){
int x = a[i][1], y = a[i][2];
a[i][1] = x - y + M[2];
a[i][2] = x + y;
t[a[i][0]][a[i][1]][a[i][2]]++;
}
for(int i = 0; i < M[2]; ++i){
for(int j = 1; j < 2 * M[2]; ++j)
for(int k = 1; k < 2 * M[2]; ++k)
t[i][j][k] += t[i][j][k - 1] + t[i][j - 1][k] - t[i][j - 1][k - 1];
}
for(int i = 0; i < n; ++i){
for(int dist = 0; dist <= d; ++dist){
int rem = d - dist;
if(a[i][0] - dist >= 1)
ans += get_cnt(a[i][0] - dist, a[i][1] - rem, a[i][2] - rem, a[i][1] + rem, a[i][2] + rem);
if(!dist) continue;
if(a[i][1] + dist < 2 * M[2])
ans += get_cnt(a[i][0] + dist, a[i][1] - rem, a[i][2] - rem, a[i][1] + rem, a[i][2] + rem);
}
--ans;
}
ans >>= 1;
}
void solve_2(){
for(int i = 0; i < n; ++i){
int x = a[i][0], y = a[i][1];
a[i][0] = x - y;
a[i][1] = x + y;
}
sort(a, a + n);
int l_ptr = 0, r_ptr = -1;
for(int i = 0; i < n; ++i){
while(a[l_ptr][0] < a[i][0] - d){
f.update(a[l_ptr][1], -1);
++l_ptr;
}
while(r_ptr != n - 1 && a[r_ptr + 1][0] <= a[i][0] + d){
++r_ptr;
f.update(a[r_ptr][1], 1);
}
ans += f.query(max(a[i][1] - d, 1), min(a[i][1] + d, 2 * M[1] - 1)) - 1;
}
ans >>= 1;
}
void solve_1(){
sort(a, a + n);
int j = 0;
for(int i = 0; i < n; ++i){
while(j != n && a[j][0] <= a[i][0] + d)
++j;
ans += j - i - 1;
}
}
int main(){
ios::sync_with_stdio(false);
cin.tie(NULL);
cin >> b >> n >> d >> m;
for(int i = 0; i < n; ++i){
a[i].resize(b);
for(int j = 0; j < b; ++j)
cin >> a[i][j];
}
if(b == 1) solve_1();
else if(b == 2) solve_2();
else solve_3();
cout << ans << "\n";
}
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