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 lint long long
#define endl '\n'
#define pii pair<int, int>
#define pll pair<lint, lint>
#define For(i,n) for (int i = 0; i < n; i++)
#define FOR For(i, n)
using namespace std;
const int N = 1e5;
map<pii, bool> vis[N];
map<pii, lint> dist;
map<pii, int> visc;
lint fdepth[N] = {};
void validpush(queue<pair<int, pair<lint, pii>>>& q, int tourist, lint depth, int x, int y) {
if (x >= 1e9 || y >= 1e9) return;
if (x < 0 || y < 0) return;
if ((x & y)) return;
if (vis[tourist][{x,y}]) return;
q.push({tourist, {depth, {x,y}}});
}
int main() {
int n; cin >> n;
vector<pii> ts(n);
for (int i = 0; i < n; i++) {
int a,b; cin >> a >> b;
a--; b--;
ts[i] = {a,b};
}
FOR fdepth[i] = 2e18;
// tourist, depth, x, y
queue<pair<int, pair<lint, pair<int, int>>>> q;
FOR q.push({i, {0ll, ts[i]}}); lint mn = 2e18;
while (!q.empty()) {
int tourist = q.front().first;
lint depth = q.front().second.first;
pii cord = q.front().second.second;
int x = cord.first;
int y = cord.second;
q.pop();
if (vis[tourist][cord]) continue;
vis[tourist][cord] = 1;
visc[cord]++;
dist[cord] += depth;
if (depth > fdepth[tourist]) {
// no more
continue;
}
if (visc[cord] == n) {
fdepth[tourist] = depth;
mn = min(dist[cord], mn);
continue;
}
validpush(q, tourist, depth + 1, x+1, y);
validpush(q, tourist, depth + 1, x, y+1);
validpush(q, tourist, depth + 1, x-1, y);
validpush(q, tourist, depth + 1, x, y-1);
}
cout << mn << endl;
}
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