Submission #1079544

#TimeUsernameProblemLanguageResultExecution timeMemory
1079544LittleOrangeRadio Towers (IOI22_towers)C++17
100 / 100
1646 ms196648 KiB
#include "towers.h" #include <vector> #include<bits/stdc++.h> using namespace std; using ll = int; const ll big = 1e9+10; ll n; ll w; ll u; vector<ll> h,lh,rh,hh,hs,inc,decc,hhs; //ll mx; vector<ll> ps; vector<pair<ll,ll>> rgs; struct obj{ ll v,c; bool operator<(const obj &o) const{ return v<o.v; } bool operator>(const obj &o) const{ return v>o.v; } }; struct dat{ ll c,l,r; dat():c(0),l(big),r(-big){} dat(ll x, ll y, ll z):c(x),l(y),r(z){} void put(ll i){ c = 1; l = i; r = i; } dat operator+(const dat &o) const{ return dat(c+o.c,min(l,o.l),max(r,o.r)); } }; struct node{ ll l,r,m; dat v; node *L,*R; node(ll a, ll b):l(a),r(b),m(a+b>>1),v(),L(nullptr),R(nullptr){ if(a<b){ L = new node(l,m); R = new node(m+1,r); } } void put(ll i){ if (l==r) v.put(i); else{ if (i<=m) (L=new node(*L))->put(i); else (R=new node(*R))->put(i); v = L->v+R->v; } } dat qry(ll ql, ll qr){ //cerr << "qry " << ql << " " << qr << " " << l << " " << r << " " << v.l << " " << v.r << " " << v.c << "\n"; if (ql<=l&&r<=qr) return v; else{ if (qr<=m) return L->qry(ql,qr); else if (ql>m) return R->qry(ql,qr); else return L->qry(ql,qr)+R->qry(ql,qr); } } }; struct segtree{ vector<node*> rt; segtree(){} segtree(ll n){ rt.push_back(new node(0,n-1)); } void nw(){ rt.push_back(new node(*rt.back())); } void put(ll t, ll i){ rt[t]->put(i); } dat qry(ll t, ll ql, ll qr){ return rt[t]->qry(ql,qr); } }; segtree t,t0; void init(int N, std::vector<int> H) { n = N; h = H; //for(ll i = 0;i<n;i++) if((i==0||(h[i-1]<h[i]))&&(i==n-1||h[i]>h[i+1])) mx = i; //for(ll i = 1;i<n-1;i++){ // if (h[i-1]<h[i]&&h[i]>h[i+1]){ // ps.push_back(i); // } //} //for(auto [u,v] : ps) cerr << "[" << u << "," << v << "]" << " ";cerr << "\n"; lh.resize(n,0); rh.resize(n,0); hh.resize(n,0); { vector<pair<ll,ll>> v; v.push_back({h[0],h[0]}); for(ll i = 1;i<n;i++){ ll mi = h[i]; while(v.size()&&v.back().first<h[i]){ mi = min(mi,v.back().second); v.pop_back(); } lh[i] = h[i]-mi; v.push_back({h[i],mi}); } } { vector<pair<ll,ll>> v; v.push_back({h[n-1],h[n-1]}); for(ll i = n-2;i>=0;i--){ ll mi = h[i]; while(v.size()&&v.back().first<h[i]){ mi = min(mi,v.back().second); v.pop_back(); } rh[i] = h[i]-mi; v.push_back({h[i],mi}); } } for(ll i = 0;i<n;i++) hh[i] = min(lh[i],rh[i]); hs = hh; sort(hs.begin(),hs.end()); hs.erase(unique(hs.begin(),hs.end()),hs.end()); t = segtree(n); t0 = segtree(n); w = hs.size(); vector<vector<ll>> adds(w); for(ll i = 0;i<n;i++){ ll p = lower_bound(hs.begin(),hs.end(),hh[i])-hs.begin(); adds[p].push_back(i); } for(ll i = w-1;i>=0;i--){ t.nw(); for(ll j : adds[i]){ t.put(w-i,j); //cerr << "add " << hs[i] << " " << j << "\n"; } //dat o = t.qry(w-i,0,n-1); //cerr << hs[i] << " " << o.l << " " << o.r << " " << o.c << "\n"; } inc = decc = h; for(ll i = 1;i<n;i++) decc[i] = min(decc[i],decc[i-1]); for(ll i = n-2;i>=0;i--) inc[i] = min(inc[i],inc[i+1]); hhs = h; sort(hhs.begin(),hhs.end()); hhs.erase(unique(hhs.begin(),hhs.end()),hhs.end()); u = hhs.size(); vector<vector<ll>> opp(u); for(ll i = 0;i<n;i++){ ll p = lower_bound(hhs.begin(),hhs.end(),h[i])-hhs.begin(); opp[p].push_back(i); } for(ll i = 0;i<u;i++){ for(ll j : opp[i]){ t0.put(i,j); //cerr << "add " << hs[i] << " " << j << "\n"; } //dat o = t.qry(w-i,0,n-1); //cerr << hs[i] << " " << o.l << " " << o.r << " " << o.c << "\n"; t0.nw(); } } bool ps_inited = false; void init_ps(ll d){ ps_inited = true; vector<ll> ld(n,big),rd(n,big); { vector<pair<ll,ll>> v; v.push_back({h[0],0}); for(ll i = 1;i<n;i++){ auto it = lower_bound(v.begin(),v.end(),make_pair(h[i]-d+1,0)); if (it!=v.begin()) ld[i] = i-(*--it).second; while(v.size()&&v.back().first>h[i]) v.pop_back(); v.push_back({h[i],i}); } } { vector<pair<ll,ll>> v; v.push_back({h[n-1],n-1}); for(ll i = n-2;i>=0;i--){ auto it = lower_bound(v.begin(),v.end(),make_pair(h[i]-d+1,0)); if (it!=v.begin()) rd[i] = (*--it).second-i; while(v.size()&&v.back().first>h[i]) v.pop_back(); v.push_back({h[i],i}); } } for(ll i = 0;i<n;i++) if(lh[i]>=d&&rh[i]>=d) { ps.push_back(i); rgs.push_back({i-ld[i],i+rd[i]}); //cerr << i-ld[i] << " " << i << " " << i+rd[i] << "\n"; } } int max_towers(int L, int R, int D) { if(!ps_inited) init_ps(D); ll l = L, r = R, d = D; ll ans = 1; ll idx = w-(lower_bound(hs.begin(),hs.end(),d)-hs.begin()); dat o = t.qry(idx,L,R); //cerr << idx << " " << L << " " << R << " " << o.l << " " << o.r << " " << o.c << "\n"; if (o.c==0) return 1; ll cur = o.c; ll pl = upper_bound(hhs.begin(),hhs.end(),h[o.l]-d)-hhs.begin()-1; dat l_need = t0.qry(pl,0,o.l); if (l_need.r<L) cur--; ll pr = upper_bound(hhs.begin(),hhs.end(),h[o.r]-d)-hhs.begin()-1; dat r_need = t0.qry(pr,o.r,n-1); if (r_need.l>R) cur--; //ll l_need = upper_bound(inc.begin(),inc.begin(),h[o.l]-d)-inc.begin(); //if (l_need-1<L) cur--; //ll r_need = lower_bound(decc.begin(),decc.end(),h[o.r]-d,greater<ll>())-decc.begin(); //if (r_need>R) cur--; return 1+max(0,cur); //auto it0 = lower_bound(ps.begin(),ps.end(),r); //ll rf = it0-ps.begin(); //auto it1 = lower_bound(ps.begin(),ps.end(),l+1); //ll lf = it1-ps.begin(); //cerr << lf << " " << rf << "\n"; //ans = max(0,rf-lf)+1; auto it0 = lower_bound(rgs.begin(),rgs.end(),make_pair(r,0)); //if (it0!=rgs.begin()) --it0; ll rf = it0-rgs.begin(); if (it0!=rgs.begin()){ if ((*--it0).second>r) --rf; } auto it1 = lower_bound(rgs.begin(),rgs.end(),make_pair(l,0)); ll lf = it1-rgs.begin(); ans = max(0,rf-lf)+1; return ans; /*vector<obj> a,b; a.push_back({0,0}); b.push_back({big,0}); for(ll i = l;i<=r;i++){ ll cur = 0; auto it = lower_bound(b.begin(),b.end(),obj({h[i]-1,0}),greater<obj>()); --it; cur = (*it).c; ans = max(ans,cur+1); obj oa = {h[i],cur+1}; if (a.size()<=oa.c) a.push_back(oa); else a[oa.c] = min(a[oa.c],oa); auto it0 = lower_bound(a.begin(),a.end(),obj({h[i]-d+1,0})); --it0; obj ob = {h[i]-d,(*it0).c}; if (b.size()<=ob.c) b.push_back(ob); else b[ob.c] = max(b[ob.c],ob); ans = max(ans,cur+1); //cerr << "a:";for(auto [u,v] : a) cerr << "(" << u <<"," << v << ") ";cerr << "\n"; //cerr << "b:";for(auto [u,v] : b) cerr << "(" << u <<"," << v << ") ";cerr << "\n"; }*/ return ans; }

Compilation message (stderr)

towers.cpp: In constructor 'node::node(ll, ll)':
towers.cpp:41:33: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   41 |   node(ll a, ll b):l(a),r(b),m(a+b>>1),v(),L(nullptr),R(nullptr){
      |                                ~^~
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