Submission #715707

#TimeUsernameProblemLanguageResultExecution timeMemory
715707valerikkLong Distance Coach (JOI17_coach)C++17
71 / 100
2041 ms17044 KiB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N = 2e5 + 7;
const ll INF = 2e18;

int n, m;
ll X, T, W;
ll s[N];
ll d[N], c[N];
ll cost[N];
ll mn[N];
ll dp[N];
ll prefc[N];

struct seg {
	int l, r;
	ll x, sumcost, mnval;
};

ll get(int l, int r, ll x) {
	ll ret = INF;
	for (int i = l; i < r; ++i) {
		ret = min(ret, dp[i] - prefc[i] - x * i);
	}
	return ret;
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	cin >> X >> n >> m >> W >> T;
	for (int i = 0; i < n; ++i) {
		cin >> s[i];
	}
	sort(s, s + n);
	s[n++] = X;
	{
		vector<pair<ll, ll>> kek(m);
		for (int i = 0; i < m; ++i) {
			cin >> kek[i].first >> kek[i].second;
		}
		sort(kek.begin(), kek.end());
		for (int i = 0; i < m; ++i) {
			d[i] = kek[i].first;
			c[i] = kek[i].second;
		}
	}
	for (int i = 0; i < m; ++i) {
		cost[i] = ((X - d[i]) / T + 1) * W;
	}
	for (int i = 0; i < m; ++i) {
		mn[i] = INF;
	}
	for (int i = 0; i < n; ++i) {
		int ind = lower_bound(d, d + m, s[i] % T) - d - 1;
		if (ind != -1) {
			mn[ind] = min(mn[ind], s[i] / T * W);
		}
	}
	prefc[0] = 0;
	for (int i = 0; i < m; ++i) {
		prefc[i + 1] = prefc[i] + c[i];
	}
	vector<seg> st;
	st.push_back({0, 0, -1, 0, INF});
	for (int i = 0; i < m; ++i) {
		dp[i + 1] = dp[i] + cost[i];
		if (mn[i] != INF) {
			while (st.back().x >= mn[i]) {
				st.pop_back();
			}
			seg kek;
			kek.l = st.back().r;
			kek.r = i + 1;
			kek.x = mn[i];
			kek.sumcost = st.back().sumcost + kek.x * (kek.r - kek.l);
			ll prefcost = st.back().sumcost;
			kek.mnval = min(st.back().mnval, get(kek.l, kek.r, kek.x) - prefcost + kek.x * kek.l);
			st.push_back(kek);
			if (st.back().mnval != INF) {
				dp[i + 1] = min(dp[i + 1], st.back().mnval + prefc[i + 1] + st.back().sumcost);
			}
		}
	}
	cout << dp[m] + (X / T + 1) * W << "\n";
	return 0;
}
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