제출 #1144611

#제출 시각아이디문제언어결과실행 시간메모리
1144611t_danhPalembang Bridges (APIO15_bridge)C++20
100 / 100
61 ms3520 KiB
#include <bits/stdc++.h>
#define endl '\n'
using namespace std;
using ll = long long;
using str = string;

bool cmp(pair<int, int> a, pair<int, int> b) {
	return a.first + a.second < b.first + b.second;
}

priority_queue<int> lpq;
priority_queue<int, vector<int>, greater<int>> rpq;
ll lsum, rsum;
ll pref[100001];
void insert(int x) {
	int median = (lpq.size() ? lpq.top() : 1000000001);
	if (x <= median) {
		lpq.push(x);
		lsum += x;
	} else {
		rpq.push(x);
		rsum += x;
	}

	if (rpq.size() + 1 < lpq.size()) {
		int nxt = lpq.top();
		lpq.pop();
		rpq.push(nxt);
		lsum -= nxt;
		rsum += nxt;
	} else if (lpq.size() < rpq.size()) {
		int nxt = rpq.top();
		rpq.pop();
		lpq.push(nxt);
		rsum -= nxt;
		lsum += nxt;
	}
}


int main() {
	ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
	int k, n;
	ll same_side = 0;
	vector<pair<int, int>> v = {{0, 0}};
	cin >> k >> n;
	for(int i = 0 ; i  < n ; i ++) {
		char a, b;
		int x, y;
		cin >> a >> x >> b >> y;
		if (a == b) same_side += abs(x - y);
		else v.push_back({x, y});
	}
	sort(v.begin(), v.end(), cmp);
	n = v.size() - 1;
	same_side += n;

	lsum = rsum = 0;
	for(int i = 1 ; i <= n ; i++) {
		insert(v[i].first);
		insert(v[i].second);
		pref[i] = rsum - lsum;
	}

	ll ans = pref[n];

	if (k == 2) {
		while (lpq.size()) lpq.pop();
		while (rpq.size()) rpq.pop();
		lsum = rsum = 0;

		for (int i = n; i; i--) {
			insert(v[i].first);
			insert(v[i].second);
			ans = min(ans, rsum - lsum + pref[i - 1]);
		}
	}
	cout << same_side + ans;
	return 0;
}
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