Submission #336179

#TimeUsernameProblemLanguageResultExecution timeMemory
336179super_j6Palembang Bridges (APIO15_bridge)C++14
100 / 100
161 ms7132 KiB
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <vector>
#include <queue>
using namespace std;
#define endl '\n'
#define ll long long
#define pi pair<int, int>
#define f first
#define s second

const int mxn = 100000;
int n, m, k;
pi a[mxn];
ll f[2][mxn];
vector<int> v;

ll sl[2], sr[2];
priority_queue<int> l, ql[2];
priority_queue<int, vector<int>, greater<int>> r, qr[2];

void add(int x, int y){
	if(l.empty() || x <= l.top()) l.push(x);
	else r.push(x);
	while(l.size() < r.size()) l.push(r.top()), r.pop();
	while(r.size() + 1 < l.size()) r.push(l.top()), l.pop();
	
	if(x <= l.top()) ql[y].push(x), sl[y] += x;
	else qr[y].push(x), sr[y] += x;
	for(int t = 0; t < 2; t++){
		while(!ql[t].empty() && ql[t].top() > l.top()){
			sl[t] -= ql[t].top();
			sr[t] += ql[t].top();
			qr[t].push(ql[t].top());
			ql[t].pop();
		}
		while(!qr[t].empty() && qr[t].top() <= l.top()){
			sr[t] -= qr[t].top();
			sl[t] += qr[t].top();
			ql[t].push(qr[t].top());
			qr[t].pop();
		}
	}
}

int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	
	cin >> k >> n;
	
	ll s = 0;
	for(int i = 0; i < n; i++){
		char c, d;
		int x, y;
		cin >> c >> x >> d >> y;
		if(x > y) swap(x, y);
		s += y - x;
		if(c != d) s++, a[m++] = {x, y};
	}
	
	sort(a, a + m, [&](pi x, pi y){
		return x.f + x.s < y.f + y.s;
	});
	
	for(int t = 0; t < 2; t++){
		while(!l.empty()) l.pop();
		while(!r.empty()) r.pop();
		for(int i = 0; i < 2; i++){
			sl[i] = sr[i] = 0;
			while(!ql[i].empty()) ql[i].pop();
			while(!qr[i].empty()) qr[i].pop();
		}
		for(int i = 0; i < m; i++){
			add(a[i].f, 0), add(a[i].s, 1);
			f[t][i] += sr[0] - (ll)l.top() * qr[0].size();
			f[t][i] += (ll)l.top() * ql[1].size() - sl[1];
		}
		reverse(a, a + m);
	}
	reverse(f[1], f[1] + m);
	
	ll ret = !!m * 0x3f3f3f3f3f3f3f3f;
	if(k & 1) ret = f[1][0];
	else for(int i = 1; i < m; i++) ret = min(ret, f[0][i - 1] + f[1][i]);
	ret = 2 * ret + s;
	
	cout << ret << endl;

	return 0;
}
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