Submission #557045

#TimeUsernameProblemLanguageResultExecution timeMemory
557045AlexandruabcdeLong Distance Coach (JOI17_coach)C++14
0 / 100
1 ms468 KiB
#include <bits/stdc++.h> using namespace std; typedef long long LL; typedef pair <LL, LL> PLL; constexpr LL INF = 1LL * 1e18; constexpr int NMAX = 2e5 + 5; LL Value (LL x, PLL line) { return line.first * x + line.second; } class LiChao { private: vector <PLL> arb; int sz; void Update (int nod, int a, int b, PLL line) { if (arb[nod].first == INF && arb[nod].second == INF) { arb[nod] = line; return; } if (a == b) { if (Value(a, arb[nod]) > Value(a, line)) arb[nod] = line; return; } int mij = (a + b) / 2; bool st = Value(a, arb[nod]) < Value(a, line); bool m = Value(mij+1, arb[nod]) < Value(mij+1, line); if (!m) swap(arb[nod], line); if (m != st) Update(2*nod, a, mij, line); else Update(2*nod+1, mij+1, b, line); } LL Best (int nod, int a, int b, int x) { if (arb[nod].first == INF && arb[nod].second == INF) return INF; LL val = arb[nod].first * x + arb[nod].second; int mij = (a + b) / 2; if (x <= mij) return min(val, Best(2*nod, a, mij, x)); else return min(val, Best(2*nod+1, mij+1, b, x)); } public: void Init (int Size) { sz = Size; arb.resize(4*Size + 4); for (int i = 1; i <= 4 * sz; ++ i ) { arb[i] = {INF, INF}; } } void AddLine (LL fr, LL sec) { Update(1, 1, sz, {fr, sec}); } LL Answer (int ind) { return Best(1, 1, sz, ind); } }; int X, N, M, W, T; PLL refill[NMAX]; PLL pass[NMAX]; LL dp[NMAX]; LL spC[NMAX]; void Read () { ios_base::sync_with_stdio(false); cin.tie(nullptr); cin >> X >> N >> M >> W >> T; for (int i = 1; i <= N; ++ i ) { int s; cin >> s; refill[i].first = s % T; refill[i].second = s / T; } ++ N; refill[N].first = X % T; refill[N].second = X / T; for (int i = 1; i <= M; ++ i ) cin >> pass[i].first >> pass[i].second; sort(refill + 1, refill + N + 1); sort(pass + 1, pass + M + 1); for (int i = 1; i <= M; ++ i ) spC[i] = spC[i-1] + pass[i].second; } void Solve () { LiChao Tree; Tree.Init(M); int unused = N; for (int i = M; i >= 1; -- i ) { for (; unused >= 1; -- unused ) { if (pass[i].first >= refill[unused].first) break; LL m = - W * refill[unused].second; LL n = W * (i + 1) * refill[unused].second + spC[i] + dp[i+1]; Tree.AddLine(m, n); } dp[i] = dp[i+1] + W * (X / T + (pass[i].first < X % T)); dp[i] = min(dp[i], Tree.Answer(i) - spC[i-1]); } cout << dp[1] + W * (X / T + 1) << '\n'; } int main () { Read(); Solve(); return 0; }
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