제출 #39480

#제출 시각아이디문제언어결과실행 시간메모리
39480qoo2p5Palembang Bridges (APIO15_bridge)C++14
63 / 100
2000 ms10416 KiB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int INF = (int) 1e9 + 123;
const ll LINF = (ll) 1e18 + 123;

#define rep(i, s, t) for (auto i = (s); i < (t); ++(i))
#define per(i, s, t) for (auto i = (s); i >= (t); --(i))
#define sz(x) ((int) (x).size())
#define mp make_pair
#define pb push_back
#define all(x) (x).begin(), (x).end()

bool mini(auto &x, const auto &y) {
	if (y < x) {
		x = y;
		return 1;
	}
	return 0;
}

bool maxi(auto &x, const auto &y) {
	if (y < x) {
		x = y;
		return 1;
	}
	return 0;
}

void run();

int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	run();
	return 0;
}

const int N = (int) 1e5 + 123;

int k, n;
vector<pair<ll, ll>> a;
vector<ll> cool;
ll total;

void solve1() {
	vector<ll> p;
	{
		for (auto &it : a) {
			p.pb(it.first);
			p.pb(it.second);
		}
		sort(all(p));
	}
	
	int k = sz(p) / 2;
	ll x = p[k];
	ll ans = 0;
	for (ll y : p) ans += abs(x - y);
	
	ans += total;
	cout << ans << "\n";
}

ll f(ll x1, ll x2) {
	ll cur = 0;
	
	for (auto &it : a) {
		ll best = LINF;
		mini(best, abs(it.first - x1) + abs(it.second - x1));
		mini(best, abs(it.first - x2) + abs(it.second - x2));
		cur += best;
	}
	
	return cur;
};

ll solve(int l, int r, int tl, int tr) {
	if (l >= r) {
		return LINF;
	}
	int mid = (l + r) / 2;
	ll ans = LINF;
	int opt = tl;
	rep(i, tl, min(mid + 1, tr)) {
		if (mini(ans, f(cool[i], cool[mid]))) {
			opt = i;
		}
	}
	mini(ans, solve(l, mid, tl, opt + 1));
	mini(ans, solve(mid + 1, r, opt, tr));
	return ans;
}

void run() {
	cin >> k >> n;
	rep(i, 0, n) {
		char t1, t2;
		ll x1, x2;
		cin >> t1 >> x1 >> t2 >> x2;
		if (t1 == t2) {
			total += abs(x1 - x2);
		} else {
			if (x1 > x2) {
				swap(t1, t2);
				swap(x1, x2);
			}
			a.pb({x1, x2});
			cool.pb(x1);
			cool.pb(x2);
		}
	}
	sort(all(cool));
	cool.resize(unique(all(cool)) - cool.begin());
	sort(all(a));
	n = sz(a);
	total += n;
	if (k == 1) {
		solve1();
		return;
	}
	if (n == 0) {
		cout << total << "\n";
		return;
	}
	
	ll ans = solve(0, sz(cool), 0, sz(cool));
	
	ans += total;
	cout << ans << "\n";
}
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