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;
typedef long long ll;
const int MOD = 1e9;
const int MAXN = 2e5 + 3e2;
vector<int> g[MAXN];
vector<int> dx = {0, 1, 0, -1}, dy = {1, 0, -1, 0};
int DistanceSum(int N, int *X, int *Y) {
map<pair<int, int>, int> mp;
for (int i = 0; i < N; i++){
mp[{X[i], Y[i]}] = i;
}
for (int i = 0; i < N; i++){
for (int j = 0; j < 4; j++){
if (mp.find({X[i] + dx[j], Y[i] + dy[j]}) != mp.end()){
g[i].push_back(mp[{X[i] + dx[j], Y[i] + dy[j]}]);
}
}
}
ll ans = 0;
for (int i = 0; i < N; i++){
queue<int> q;
q.push(i);
vector<int> d(N, 1e9);
d[i] = 0;
while (!q.empty()){
int x = q.front(); q.pop();
ans += d[x];
for (int y : g[x]){
if (d[y] == 1e9){
d[y] = d[x] + 1;
q.push(y);
}
}
}
}
ans >>= 1;
return ans % MOD;
}
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