Submission #1300022

#TimeUsernameProblemLanguageResultExecution timeMemory
1300022yonatanlBest Place (NOI17_bestplace)C++20
100 / 100
27 ms4032 KiB
#include <iostream>
#include <vector>
#include <algorithm>
#include <set>
#include <queue>
#include <stack>
#include <map>
#include <string>
#include <math.h>
#include <array>

#define rep(i, s, e) for (ll i = s; i < e; i++)
#define upmax(a, b) a = max(a, b)
#define upmin(a, b) a = min(a, b)

using namespace std;
using ll = long long;
using vll = vector<ll>;
using vvll = vector<vll>;
using vvvll = vector<vvll>;
using pll = pair<ll, ll>;
using vpll = vector<pll>;
using vvpll = vector<vpll>;

const ll INF = 1e18;

ll solve1D(vll & arr, ll n) {
	sort(arr.begin(), arr.end());
	vll pref(n);
	pref[0] = arr[0];
	rep(i, 1, n) pref[i] = pref[i - 1] + arr[i];
	ll best = pref[n - 1] - n * arr[0];
	ll bestX = arr[0];
	rep(i, 0, n) {
		// Put x after arr[i]:
		ll l = i + 1;
		ll sl = pref[i];
		ll cur = pref[n - 1] - 2 * sl;
		ll x = arr[i];
		if (2 * l - n < 0 && i < n - 1) {
			x = arr[i + 1];
		}
		cur += x * (2 * l - n);
		if (cur < best) {
			best = cur;
			bestX = x;
		}
	}
	return bestX;
}

void solve() {
	ll n;
	cin >> n;
	vll x(n), y(n);
	rep(i, 0, n) {
		cin >> x[i] >> y[i];
	}
	ll ansX = solve1D(x, n);
	ll ansY = solve1D(y, n);
	cout << ansX << ' ' << ansY << '\n';
}

int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(0);

	solve();
}
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