Submission #1317056

#TimeUsernameProblemLanguageResultExecution timeMemory
1317056blackscreen1Palembang Bridges (APIO15_bridge)C++20
100 / 100
140 ms13992 KiB
#include <bits//stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
typedef tree<long long, null_type, less<long long>, rb_tree_tag,
             tree_order_statistics_node_update>
    ordered_set;
typedef tree<long long, null_type, less_equal<long long>, rb_tree_tag,
             tree_order_statistics_node_update>
    ordered_multiset;
#define ll long long
#define ld long double
#define iloop(m, h) for (ll i = m; i != h; i += (m < h ? 1 : -1))
#define jloop(m, h) for (auto j = m; j != h; j += (m < h ? 1 : -1))
#define kloop(m, h) for (auto k = m; k != h; k += (m < h ? 1 : -1))
#define lloop(m, h) for (auto l = m; l != h; l += (m < h ? 1 : -1))
#define iloop_(m, h, g) for (auto i = m; i != h; i += g)
#define jloop_(m, h, g) for (auto j = m; j != h; j += g)
#define kloop_(m, h, g) for (auto k = m; k != h; k += g)
#define lloop_(m, h, g) for (auto l = m; l != h; l += g)
#define getchar_unlocked _getchar_nolock // comment before submission
#define pll pair<ll, ll>
#define plll pair<ll, pll>
#define pllll pair<pll, pll>
#define vll vector<ll>
#define qll queue<ll>
#define dll deque<ll>
#define pqll priority_queue<ll>
#define gll greater<ll>
#define INF 1000000000000000
#define MOD1 1000000007
#define MOD2 998244353
#define MOD3 1000000009
mt19937 rng(chrono::system_clock::now().time_since_epoch().count());
int main() {
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	ll m, n;
	cin >> m >> n;
	char c[n], d[n];
	ll a[n], b[n];
	iloop(0, n) cin >> c[i] >> a[i] >> d[i] >> b[i];
	if (m == 1) {
		vector<ll> v;
		ll cans = 0;
		iloop(0, n) if (c[i] != d[i]) {v.push_back(a[i]); v.push_back(b[i]); cans++;}
		if (v.size()) sort(v.begin(), v.end());
		ll val = (v.size() ? v[v.size()/2] : 0);
		iloop(0, n) {
			if (c[i] == d[i]) cans += abs(a[i]-b[i]);
			else cans += abs(a[i]-val) + abs(b[i]-val);
		}
		cout << cans;
	}
	else {
		vector<pair<ll, pll>> cross;
		ll ans = 0;
		iloop(0, n) {
			if (c[i] == d[i]) ans += abs(a[i]-b[i]);
			else cross.push_back({a[i]+b[i], {a[i], b[i]}});
		}
		sort(cross.begin(), cross.end());
		ll m = cross.size();
		ll pf[m + 1], sf[m + 1], tmp[m];
		priority_queue<ll> pq;
		priority_queue<ll, vector<ll>, greater<ll>> pq_;
		pf[0] = 0;
		iloop(0, m) {
			pq.push(cross[i].second.first);
			pq.push(cross[i].second.second);
			if (pq_.size()) {pq.push(pq_.top()); pq_.pop();}
			if (pq_.size()) {pq.push(pq_.top()); pq_.pop();}
			while (pq.size() > pq_.size()) {pq_.push(pq.top()); pq.pop();}
			tmp[i] = pq.top();
		}
		priority_queue<ll, vector<ll>, greater<ll>> cq;
		priority_queue<ll> cq_;
		ll cb = 0, cf = 0, cbc = 0, cfc = 0;
		iloop(0, m) {
			if (cross[i].second.first > tmp[i]) {cf += cross[i].second.first; cfc++; cq.push(cross[i].second.first);}
			else {cb += cross[i].second.first; cbc++; cq_.push(cross[i].second.first);}
			if (cross[i].second.second > tmp[i]) {cf += cross[i].second.second; cfc++; cq.push(cross[i].second.second);}
			else {cb += cross[i].second.second; cbc++; cq_.push(cross[i].second.second);}
			while (cq.size() && cq.top() < tmp[i]) {cfc--; cbc++; cf -= cq.top(); cb += cq.top(); cq_.push(cq.top()); cq.pop();}
			while (cq_.size() && cq_.top() > tmp[i]) {cfc++; cbc--; cf += cq_.top(); cb -= cq_.top(); cq.push(cq_.top()); cq_.pop();}
			pf[i+1] = cf - cfc*tmp[i] + cbc*tmp[i] - cb;
		}
		while (pq.size()) pq.pop();
		while (pq_.size()) pq_.pop();
		sf[m] = 0;
		iloop(m-1, -1) {
			pq.push(cross[i].second.first);
			pq.push(cross[i].second.second);
			if (pq_.size()) {pq.push(pq_.top()); pq_.pop();}
			if (pq_.size()) {pq.push(pq_.top()); pq_.pop();}
			while (pq.size() > pq_.size()) {pq_.push(pq.top()); pq.pop();}
			tmp[i] = pq.top();
		}
		cb = 0, cf = 0, cbc = 0, cfc = 0;
		priority_queue<ll> dq;
		priority_queue<ll, vector<ll>, greater<ll>> dq_;
		iloop(m-1, -1) {
			//cout << tmp[i] << ":" << cross[i].second.first << "," << cross[i].second.second << "\n";
			if (cross[i].second.first > tmp[i]) {cf += cross[i].second.first; cfc++; dq_.push(cross[i].second.first);}
			else {cb += cross[i].second.first; cbc++; dq.push(cross[i].second.first);}
			if (cross[i].second.second > tmp[i]) {cf += cross[i].second.second; cfc++; dq_.push(cross[i].second.second);}
			else {cb += cross[i].second.second; cbc++; dq.push(cross[i].second.second);}
			while (dq.size() && dq.top() > tmp[i]) {cbc--; cfc++; cb -= dq.top(); cf += dq.top(); dq_.push(dq.top()); dq.pop();}
			while (dq_.size() && dq_.top() < tmp[i]) {cbc++; cfc--; cb += dq_.top(); cf -= dq_.top(); dq.push(dq_.top()); dq_.pop();}
			sf[i] = cf - cfc*tmp[i] + cbc*tmp[i] - cb;
		}
		//iloop(0, m+1) cout << pf[i] << "," << sf[i] << "\n";
		ll cmin = INF;
		iloop(0, m+1) cmin = min(cmin, pf[i] + sf[i]);
		cout << ans + cmin + m;
	}
}

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