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wheretolive.cpp
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// Michael Pfeifer
// Version 02, 2018/01/17
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef long long ll;
typedef long double ld;
typedef unsigned int uint;
typedef unsigned long long ull;
const ld pi = 4.0*atanl(1.0);
const int iinf = 1e9 + 10;
const ll inf = 1e18 + 10;
const int mod = 1000000007;
#define enld endl
#define endl '\n'
#define pb push_back
#define debug(x) cout<<#x<<" -> "<<x<<'\n'
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define uni(x) (x).erase(unique(all(x)), (x).end())
#define rep(i, n) for (ll i = 0; i < (ll)(n); ++i)
#define rep1(i, n) for (ll i = 1; i <= (ll)(n); ++i)
#define umap unordered_map
#define uset unordered_set
template<class TIn>
using indexed_set = tree<
TIn, null_type, less<TIn>,
rb_tree_tag, tree_order_statistics_node_update>;
void fast() {
ios::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
}
void file() {
auto a = freopen("a.in", "r", stdin);
auto b = freopen("a.out", "w", stdout);
if(!a || !b) cout << "uh oh" << endl;
}
ll readint(){
char r;
bool start=false,neg=false;
ll ret=0;
while(true){
r=getchar();
if((r-'0'<0 || r-'0'>9) && r!='-' && !start){
continue;
}
if((r-'0'<0 || r-'0'>9) && r!='-' && start){
break;
}
if(start)ret*=10;
start=true;
if(r=='-')neg=true;
else ret+=r-'0';
}
if(!neg) return ret;
else return -ret;
}
struct point {
int x, y;
};
int calc(vector<point>& v, int x, int y) {
int total = 0;
for(auto i : v) {
int xdiff = abs(x-i.x);
int ydiff = abs(y-i.y);
total += (xdiff * xdiff) + (ydiff * ydiff);
}
return total;
}
int main() {
//file();
//fast();
int n;
while(cin >> n && n != 0) {
// Read in input
vector<point> v(n);
for(auto& i : v) {
cin >> i.x >> i.y;
}
// Find minimum x and y coords
int minx = v[0].x;
int miny = v[0].y;
for(int i = 1; i < v.size(); i++) {
minx = min(minx, v[i].x);
miny = min(miny, v[i].y);
}
// Set up current state
int currx = minx;
int curry = miny;
int currval = calc(v, currx, curry);
// While there's a better option, take it
while(true) {
int up = calc(v, currx, curry+1);
int rt = calc(v, currx+1, curry);
if(up < currval || rt < currval) {
if(up < rt) {
currval = up;
curry++;
}
else {
currval = rt;
currx++;
}
continue;
}
break;
}
// Print found answer
cout << currx << " " << curry << endl;
}
}