Submission #1044545

#	Time	Username	Problem	Language	Result	Execution time	Memory
1044545		Tob	Long Distance Coach (JOI17_coach)	C++14	100 / 100	108 ms	50348 KiB

coach

#include <bits/stdc++.h>

#define F first
#define S second
#define all(x) x.begin(), x.end()
#define pb push_back
#define FIO ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0)

using namespace std;

typedef long long ll;
typedef pair <ll, ll> pii;
typedef long double ld;
typedef pair <ld, ld> pdd;

const int N = 2e5 + 7;

ll h, n, m, w, t;
ll g[N], c[N], d[N], dp[2*N], psh[2*N], pref[2*N], po[2*N];
vector <pair <ll, pii> > v;

bool ccw(pdd x, pdd y, pdd z) {return x.F*(y.S-z.S)+y.F*(z.S-x.S)+z.F*(x.S-y.S) > 0;}

int main () {
	FIO;
	cin >> h >> n >> m >> w >> t;
	for (int i = 0; i < n; i++) cin >> g[i];
	g[n++] = h;
	for (int i = 0; i < m; i++) cin >> d[i] >> c[i];
	
	for (int i = 0; i < n; i++) {
		v.pb({g[i]%t, {i, 0}});
	}
	for (int i = 0; i < m; i++) {
		v.pb({d[i], {i, 1}});
	}
	
	sort(all(v));
	
	vector <pair <int, pdd> > u;
	
	ll la = 0, sh = h/t+1;
	psh[0] = sh;
	for (int i = 0; i < n+m; i++) {
		psh[i+1] = psh[i];
		pref[i+1] = pref[i];
		po[i+1] = po[i];
		int z = v[i].S.F;
		if (!v[i].S.S) {
			dp[i] = la;
			if (z == n-1) sh--;
			ll R = g[z]/t;
			auto f = [&](int x) {return dp[x]+pref[i+1]-pref[x]+R*w*(po[i+1]-po[x])-(psh[i+1]-psh[x])*w;};
			if (u.empty()) continue;
			int lo = 0, hi = u.size()-1;
			while (lo < hi) {
				int mid = (lo + hi) / 2;
				if (f(u[mid].F) < f(u[mid+1].F)) hi = mid;
				else lo = mid+1;
			}
			dp[i] = min(dp[i], f(u[lo].F));
			la = dp[i];
		}
		else {
			po[i+1]++;
			psh[i+1] += sh;
			pref[i+1] += c[z];
			dp[i] = la;
			pdd p = {-po[i], dp[i]-pref[i]+psh[i]*w};
			while (u.size() > 1 && ccw(u[u.size()-2].S, u.back().S, p)) u.pop_back();
			u.pb({i, p});
		}
	}
	cout << dp[n+m-1]+psh[n+m]*w << "\n";

	return 0;
}

• Subtask 1: 16 / 16
• Subtask 2: 30 / 30
• Subtask 3: 25 / 25
• Subtask 4: 29 / 29