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Bey Battle
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#include <iostream>
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#include <vector>
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#include <algorithm>
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#include <fstream>
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#include <map>
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using namespace std;
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typedef long long ll;
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// typedef vector<ll> vi;
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// typedef vector<vi> vvi;
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typedef map<ll, ll> dict;
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ll N;
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//vvi plane(100000, vi(2));
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dict plane;
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// bool compare(vi p1, vi p2) {
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// return p1[0]<p1[0];
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// }
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bool cover(ll L) {
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if (L==1) return true;
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for (dict::iterator it = plane.begin(); it != plane.end(); it++ ) {
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ll x=it->first, y=it->second;
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for (ll key=x-L+1; key<x+L; ++key) {
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if (key==x) continue;
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if (plane.find(key) != plane.end() ) { // if key exist
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ll y2 = plane[key];
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if (abs(y2-y)<L) {
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return false;
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}
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}
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}
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}
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return true;
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}
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int main() {
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// Unit tests:
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// ifstream in("in.txt");
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// streambuf *cinbuf = std::cin.rdbuf(); //save old buf
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// cin.rdbuf(in.rdbuf()); //redirect std::cin to in.txt!
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// ofstream out("out.txt");
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// streambuf *coutbuf = std::cout.rdbuf(); //save old buf
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// cout.rdbuf(out.rdbuf()); //redirect std::cout to out.txt!
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while (cin >> N) {
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plane.clear();
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for (ll i=0; i<N; ++i) {
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ll x,y;
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cin >> x >> y;
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plane[x] = y;
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}
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//sort(plane.begin(), plane.begin()+N, compare);
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ll L=0, R=4000001, mid;
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while (R - L != 1) {
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mid = (L+R) >> 1;
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//cout << R << " " << L<< " " << mid << endl;
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if (cover(mid)) {
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L = mid;
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} else {
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R = mid;
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}
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}
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// for (ll i=0; i<N; ++i) {
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// // ll tmp = max(abs(plane[i][0] - plane[i+1][0]), abs(plane[i][1] -
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// // plane[i+1][1]));
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// // Max = min(tmp, Max);
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// }
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cout << L << endl;
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}
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return 0;
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}
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