Submission #1238216

#TimeUsernameProblemLanguageResultExecution timeMemory
1238216thelegendary08Palembang Bridges (APIO15_bridge)C++17
100 / 100
228 ms12932 KiB
#include<bits/stdc++.h>
#define pb push_back
#define mp make_pair
#define int long long
#define vi vector<int>
#define vvi vector<vector<int>>
#define pii pair<int, int>
#define vpii vector<pair<int, int>>
#define vc vector<char>
#define vb vector<bool>
#define mii map<int,int>
#define f0r(i,n) for(int i=0;i<n;i++)
#define FOR(i,k,n) for(int i=k;i<n;i++)
#define all(v) (v).begin(),(v).end()
#define rall(v) (v).rbegin(),(v).rend()
#define in(a) int a; cin>>a
#define in2(a,b) int a,b; cin>>a>>b
#define in3(a,b,c) int a,b,c; cin>>a>>b>>c
#define in4(a,b,c,d) int a,b,c,d; cin>>a>>b>>c>>d
#define vin(v,n); vi v(n); f0r(i,n){cin>>v[i];}
#define out(a) cout<<a<<'\n'
#define out2(a,b) cout<<a<<' '<<b<<'\n'
#define out3(a,b,c) cout<<a<<' '<<b<<' '<<c<<'\n'
#define out4(a,b,c,d) cout<<a<<' '<<b<<' '<<c<<' '<<d<<'\n'
#define pout(a) cout<<a.first<<' '<<a.second<<'\n'
#define vout(v) for(auto u : v){cout<<u<<' ';} cout<<endl
#define dout(a) cout<<a<<' '<<#a<<endl
#define dout2(a,b) cout<<a<<' '<<#a<<' '<<b<<' '<<#b<<endl
#define yn(x); if(x){cout<<"YES"<<'\n';}else{cout<<"NO"<<'\n';}
const int leg = 1e9 + 7;
const int mod = 998244353;
using namespace std;
struct median_set{
	multiset<int>a, b; int sa, sb;
	median_set(){
		sa = 0; sb = 0;
	}
	void add(int x){
		if(a.size() > 0 && *(--a.end()) >= x){
			a.insert(x); sa += x;
			if(a.size() - 2 == b.size()){
				int y = *(--a.end());
				a.erase(a.find(y)); sa -= y; 
				b.insert(y); sb += y;
			}
		}
		else{
			b.insert(x); sb += x;
			if(b.size() > a.size()){
				int y = *b.begin();
				b.erase(b.find(y)); sb -= y;
				a.insert(y); sa += y;
			}
		}
	}
	void remove(int x){
		if(a.size() > 0 && *(--a.end()) >= x){
			a.erase(a.find(x)); sa -= x;
			if(b.size() > a.size()){
				int y = *b.begin();
				b.erase(b.find(y)); sb -= y;
				a.insert(y); sa += y;
			}
		}
		else{
			b.erase(b.find(x)); sb -= x;
			if(a.size() - 2 == b.size()){
				int y = *(--a.end());
				a.erase(a.find(y)); sa -= y; 
				b.insert(y); sb += y;
			}
		}
	}
	
	int cost(){
		int med;
		if(a.size() != 0)med = *(--a.end());
		else if(b.size() != 0)med = *b.begin();
		else return 0;
		return med * a.size() - sa + sb - med * b.size();
	}
};
signed main(){
	ios::sync_with_stdio(false);
	cin.tie(NULL);
	//ifstream cin(".in");
	//ofstream cout(".out");
	in2(k,n);
	int ans = 0;
	vi x; vi y; 
	f0r(i,n){
		char a, c; int b,d;
		cin>>a>>b>>c>>d;
		if(a == c){
			ans += abs(d - b);
		}
		else{
			x.pb(b); y.pb(d);
		}
	}
	n = x.size(); ans += n;
	if(k == 1){
		if(n != 0){
			vi w;
			f0r(i,n){
				w.pb(x[i]); w.pb(y[i]);
			}
			sort(all(w)); int med = w[n];
			f0r(i,n * 2){
				ans += abs(med - w[i]);
			}
		}
		
		out(ans);
	}
	else{
		vpii pts; 
		f0r(i,n)pts.pb(mp(x[i] + y[i], i));
		sort(all(pts));
		median_set a, b;
		
		f0r(i, n){
			int dex = pts[i].second;
			b.add(x[dex]); b.add(y[dex]);
			// dout2(x[dex], y[dex]);
		}
		
		int ca = b.cost();
		f0r(i,n){
			int dex = pts[i].second;
			b.remove(x[dex]); b.remove(y[dex]);
			a.add(x[dex]); a.add(y[dex]);
			ca = min(ca, b.cost() + a.cost());
		}
		out(ans + ca);
		
	}
}
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