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;
#ifdef __local_leywar
#include <debug/debugger.h>
#endif
#define int long long
#define endl '\n'
const int INF = 2e9,
          MOD = 1e9+7,
          INFLL = 1e18;
using pii = pair<int, int>;
mt19937_64 rng(time(0));
pii operator - (pii a, pii b)
{
    return (pii){a.first - b.first, a.second - b.second};
}
int32_t main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);
    int n;
    cin >> n;
    vector<pii> ar(n);
    for(auto &i: ar)
        cin >> i.first >> i.second ; 
    for(int i = n - 1 ; i >= 0 ; i--)
    {
        ar[i] = ar[i] - ar[0];
    }
    int ans = 0;
    vector<int> dp(n, INFLL);
    vector<bool> flag(n);
    dp[0] = 0;
    while(true)
    {
        int dist = INFLL, nod = -1;
        //db(dp);
        for(int i = 0 ; i < n ; i++)
            if(!flag[i] and dp[i] < dist)
                dist = dp[i], nod = i;
        //db(dist, nod);
        if(nod == -1)
            break;
        ans++;
        flag[nod] = true;
        for(int i = 0 ; i < n ; i++)
        {
            pii temp = ar[nod] - ar[i];
            //db(ar[nod], ar[i], temp);
            //dbl(!flag[i], abs(temp.first) == abs(temp.second), dist <= abs(temp.first), dp[nod] > abs(temp.first));
            if(!flag[i] and abs(temp.first) == abs(temp.second) and dist <= abs(temp.first) and dp[i] > abs(temp.first))
                dp[i] = abs(temp.first);
        }
    }
    cout << ans ;
    return 0;
}
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