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POINTMEE.cpp
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POINTMEE.cpp
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// Problem: 2-D Point Meeting
// Contest: CodeChef - September Challenge 2021 Division 2 (Unrated)
// URL: https://www.codechef.com/SEPT21B/problems/POINTMEE
// Memory Limit: 256 MB
// Time Limit: 1000 ms
// Powered by CP Editor (https://github.com/cpeditor/cpeditor)
#include <bits/stdc++.h>
#pragma GCC diagnostic ignored "-Wunused-variable"
#pragma GCC diagnostic ignored "-Wunused-parameter"
#pragma GCC diagnostic ignored "-Wunused-but-set-variable"
//#pragma GCC diagnostic ignored "-Wformat"
using namespace std ;
#define Pi 2*acos(0.0)
#define LINF 1LL<<62
#define ll long long
#define ull unsigned long long
#define pb push_back
#define mp make_pair
#define MAX 500006
#define MAX1 10000008
#define mem(a,v) memset(a,v,sizeof(a))
#define all(x) x.begin(),x.end()
#define lcm(a, b) ((a)*((b)/__gcd(a,b)))
#define yes cout<<"YES"<<endl
#define no cout<<"NO"<<endl
#define buga cout<<1<<endl
#define bugb cout<<2<<endl
#define bugc cout<<3<<endl
#define bugd cout<<4<<endl
#define buge cout<<5<<endl
void fastIO (){ios_base::sync_with_stdio(false);cin.tie(0); cout.precision(20);}
ll A[MAX];
ll B[MAX];
ll C[MAX];
vector< ll >V;
vector< ll >Ans;
vector< pair<ll,ll> >VP;
map< ll,ll >M;
vector<ll>prime;
bool mark[MAX1];
ll N=1e7;
void seive (){int limit = sqrt(N*1.0)+2;mark[1]=1;for (int i=4;i<=N;i+=2)mark[i]=1;prime.push_back(2);for (int i=3;i<=N;i+=2){if(!mark[i]){prime.push_back(i);if(i<=limit){for (int j=i*i;j<=N;j+=i*2)mark[j]=1;}}}}
/*
ll sti(string a,int base=10)
{
ll k=0;
for (int i=0;i<(int)a.size();++i)
{
k*=base;
k+=a[i]-'0';
}
return k;
}
/*
/*
ll bin_pow(ll o, ll s) {
if (s == 0) return 1;
if (s == 1) return o % mod;
ll d = bin_pow(o, s/2);
d = (d * 1ll * d) % mod;
if (s % 2 == 1)
d = (d * 1ll * o) % mod;
return d;
}
*/
int main ()
{
fastIO();
ll a,b,c,d,n,m,k,l,p,q,r,t,x,y;
ll cnt=0,cntr=0,sum=0,ans=1,check=0;
ll Max= 0,Max1=-1e18+1,Min=LINF;
string s,s1,s3,s4;
//cin>>n;
cin>>t;
while(t--){
cin>>n;
for(int i = 0; i < n; i++)cin >> A[i];
for(int i = 0; i < n; i++)cin >> B[i];
Min = 1e18;
for(int i = 0; i <n; i++){
cntr = 0;
for(int j = 0; j < n; j++){
if(i == j)continue;
a = A[i] - A[j];
b = B[i] - B[j];
if(abs(a) ==abs(b))cntr++;
else if(!a or !b)cntr++;
else cntr += 2;
// cout << cntr << endl;
}
Min = min(Min, cntr);
//cout << cntr << endl;
}
set<pair<int, int>>S;
for(int i = 0; i < n; i++){
for(int j = 0; j < n; j++){
a = (A[i] - A[j]);
b = (B[i] - B[j]);
p = -INT_MAX;
if(a % 2){
c = (A[i] + A[j]) / 2;
}
else {
p
}
S.insert({a, b});
}
}
for(auto it: S){
cntr = 0; a = it.first; b = it.second;
for(int j = 0; j < n; j++){
if(A[j] == a and B[j] == b)continue;
c = a - A[j];
d = b - B[j];
if(abs(c) ==abs(d))cntr++;
else if(!c or !d)cntr++;
else cntr += 2;
// cout << cntr << endl;
}
Min = min(Min, cntr);
//cout << cntr << endl;
}
cout << Min << endl;
}
/*
always check the limit and make sure that is correct.
lcm of first 40 numbers can be calculated.
sqrt of 10^9 is 31622.
always usee 1LL while doing binary operations.
*/
return (0 - 0 + 1 - 1 * 1);
}