Submission #868121

#	Time	Username	Problem	Language	Result	Execution time	Memory
868121		c2zi6	Palembang Bridges (APIO15_bridge)	C++14	100 / 100	214 ms	13044 KiB

bridge

#include <bits/stdc++.h>
#define ff first
#define ss second
#define pb push_back
#define all(a) (a).begin(), (a).end()
#define replr(i, a, b) for (int i = int(a); i <= int(b); ++i)
#define reprl(i, a, b) for (int i = int(a); i >= int(b); --i)
#define rep(i, n) for (int i = 0; i < int(n); ++i)
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<int, int> PII;
typedef vector<int> VI;
typedef vector<PII> VPI;
typedef vector<VI> VVI;
typedef vector<VPI> VVPI;
typedef pair<ll, ll> PLL;
typedef vector<ll> VL;
typedef vector<PLL> VPL;
typedef vector<VL> VVL;
typedef vector<VPL> VVPL;
template<class T> T setmax(T& a, T b) {if (a < b) return a = b; return a;}
template<class T> T setmin(T& a, T b) {if (a < b) return a; return a = b;}

struct hatvac {
	multiset<int> stl, str;
	ll sml, smr;
	hatvac() {
		sml = smr = 0;
	}
	void balance() {
		if (stl.size() < str.size()) {
			int val = *str.begin();
			stl.insert(val);
			sml += val;
			str.erase(str.begin());
			smr -= val;
		}
		if (stl.size() > str.size()+1) {
			int val = *prev(stl.end());
			str.insert(val);
			smr += val;
			stl.erase(prev(stl.end()));
			sml -= val;
		}
	}
	void add(int x) {
		if (stl.empty()) {
			stl.insert(x);
			sml += x;
			return;
		}
		if (x <= *prev(stl.end())) stl.insert(x), sml += x;
		else str.insert(x), smr += x;
		balance();
	}
	void rem(int x) {
		if (x <= *prev(stl.end())) stl.erase(stl.find(x)), sml -= x;
		else str.erase(str.find(x)), smr -= x;
		balance();
	}
	ll cost() {
		if (stl.empty()) return 0;
		ll med = *prev(stl.end());
		return (stl.size()*med - sml) + (smr - str.size()*med);
	}
};

void solve() {
	int k, n;
	cin >> k >> n;
	VPI vec;
	ll oneside = 0;
	rep(i, n) {
		char a, b;
		int x, y;
		cin >> a >> x >> b >> y;
		if (a == b) oneside += abs(x-y);
		else vec.pb({x, y}), oneside++;
	}
	sort(all(vec), [](PII a, PII b){
		return a.ff+a.ss < b.ff+b.ss;
	});
	hatvac a, b;
	rep(i, vec.size()) b.add(vec[i].ff), b.add(vec[i].ss);
	ll ans = a.cost() + b.cost();
	if (k == 1) {
		cout << oneside + ans << endl;
		return;
	}

	/* for(auto p : vec) cout << p.first << " " << p.second << " "; cout << endl; */
	rep(i, vec.size()) {
		/* cout << endl; */
		/* for (int x : a.stl) cout << x << " "; cout << "| "; */
		/* for (int x : a.str) cout << x << " "; cout << endl; */
		/* for (int x : b.stl) cout << x << " "; cout << "| "; */
		/* for (int x : b.str) cout << x << " "; cout << endl; */
		b.rem(vec[i].ff), b.rem(vec[i].ss);
		a.add(vec[i].ff), a.add(vec[i].ss);
		setmin(ans, a.cost() + b.cost());
	}
	cout << oneside + ans << endl;
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL); cout.tie(NULL);
    ll t = 1;
    /* cin >> t; */
    while (t--) solve();
}

• Subtask 1: 8 / 8
• Subtask 2: 14 / 14
• Subtask 3: 9 / 9
• Subtask 4: 32 / 32
• Subtask 5: 37 / 37