Submission #1007551

#TimeUsernameProblemLanguageResultExecution timeMemory
1007551huutuanSalesman (IOI09_salesman)C++14
100 / 100
311 ms28096 KiB
#include <bits/stdc++.h> using namespace std; const int N=5e5+10; const int inf=2e9; struct SegmentTree{ int n; vector<int> t; void init(int _n){ n=_n; t.assign(4*n+1, -inf); } void update(int k, int l, int r, int pos, int val){ if (l==r){ t[k]=val; return; } int mid=(l+r)>>1; if (pos<=mid) update(k<<1, l, mid, pos, val); else update(k<<1|1, mid+1, r, pos, val); t[k]=max(t[k<<1], t[k<<1|1]); } int get(int k, int l, int r, int L, int R){ if (r<L || R<l) return -inf; if (L<=l && r<=R) return t[k]; int mid=(l+r)>>1; return max(get(k<<1, l, mid, L, R), get(k<<1|1, mid+1, r, L, R)); } } st1, st2; int n, s, f[N], f1[N], f2[N], val[N]; int u, d; vector<pair<int, int>> vv; void calc(int t, int l, int r){ for (int ii=l; ii<=r; ++ii){ int i=vv[ii].second; f1[i]=f2[i]=max(st1.get(1, 1, st1.n, 1, i)-d*i, st2.get(1, 1, st2.n, i, st2.n)+u*i); } f2[vv[l].second]+=val[vv[l].second]; f1[vv[r].second]+=val[vv[r].second]; for (int i=l+1; i<=r; ++i) f2[vv[i].second]=max(f2[vv[i].second], f2[vv[i-1].second]-d*(vv[i].second-vv[i-1].second))+val[vv[i].second]; for (int i=r-1; i>=l; --i) f1[vv[i].second]=max(f1[vv[i].second], f1[vv[i+1].second]-u*(vv[i+1].second-vv[i].second))+val[vv[i].second]; for (int ii=l; ii<=r; ++ii){ int i=vv[ii].second; f[i]=max(f1[i], f2[i]); st1.update(1, 1, st1.n, i, f[i]+d*i); st2.update(1, 1, st2.n, i, f[i]-u*i); } } int32_t main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); cin >> n >> u >> d >> s; for (int i=1; i<=n; ++i){ int t, l, m; cin >> t >> l >> m; vv.emplace_back(t, l); val[l]=m; } vv.emplace_back(0, s); vv.emplace_back(500001, s); sort(vv.begin(), vv.end()); st1.init(N); st2.init(N); for (int i=0; i<N; ++i) f[i]=-inf; f[s]=0; st1.update(1, 1, st1.n, s, f[s]+d*s); st2.update(1, 1, st2.n, s, f[s]-u*s); for (int i=1; i<(int)vv.size(); ++i){ int j=i; while (j+1<(int)vv.size() && vv[j+1].first==vv[i].first) ++j; calc(vv[i].first, i, j); i=j; } cout << f[s] << '\n'; return 0; }
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