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 int64_t
#define pb push_back
#define pii pair<int, int>
#define st first
#define nd second
#define sz(x) (int)(x).size()
#define all(x) (x).begin(), (x).end()
int dx[] = {0, 0, 1, -1};
int dy[] = {1, -1, 0, 0};
pii tab[10];
int dir[10];
int dis[10];
bool vis[10];
int n;
int ans = 0;
void dijkstra() {
// for(int i=0;i<n;i++) cerr << dir[i] << " ";
// cerr << "\n";
fill(dis, dis+n, 1e9);
memset(vis, 0, sizeof(vis));
dis[0] = 0;
int cnt = 0;
for(int i=0;i<n;i++) {
pii cand = {1e9, -1};
for(int j=0;j<n;j++) {
if(vis[j]) continue;
cand = min(cand, {dis[j], j});
}
// cerr << cand.st << " " << cand.nd << "\n";
if(cand.nd==-1) break;
cnt++;
vis[cand.nd] = true;
int x = cand.nd;
for(int j=0;j<n;j++) {
if(vis[j]) continue;
int y = j;
int d1 = abs(tab[x].st-tab[y].st);
int d2 = abs(tab[x].nd-tab[y].nd);
if(d1!=d2) continue;
pii p1 = {tab[x].st+dx[dir[x]]*d1, tab[x].nd+dy[dir[x]]*d1};
pii p2 = {tab[y].st+dx[dir[y]]*d1, tab[y].nd+dy[dir[y]]*d1};
if(p1!=p2) continue;
dis[y] = min(dis[y], d1);
}
}
// cerr << cnt << "\n";
ans = max(ans, cnt);
}
int32_t main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cin >> n;
for(int i=0;i<n;i++) {
cin >> tab[i].st >> tab[i].nd;
}
for(int i=0;i<(1<<(2*n));i++) {
for(int j=0;j<2*n;j+=2) {
bool a = i&(1<<j);
bool b = i&(1<<(j+1));
dir[j/2] = 2*a+b;
}
dijkstra();
}
cout << ans << "\n";
}
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