Submission #933032

#TimeUsernameProblemLanguageResultExecution timeMemory
933032Edu175Sequence (APIO23_sequence)C++17
53 / 100
2079 ms66528 KiB
#include "sequence.h" #include <bits/stdc++.h> #define pb push_back #define fst first #define snd second #define fore(i,a,b) for(ll i=a,apio=b;i<apio;i++) #define SZ(x) ((int)x.size()) #define ALL(x) x.begin(),x.end() #define mset(a,v) memset((a),(v),sizeof(a)) #define imp(v) for(auto slkdh:v)cout<<slkdh<<" ";cout<<"\n" using namespace std; typedef int ll; typedef pair<ll,ll> ii; #pragma GCC optimize("O3,unroll-loops") #pragma GCC target("avx2,bmi,bmi2,lzcnt,popcnt") const ll INF=5e6; struct node{ ll mxp,mnp,mxs,mns,sum; }; node oper(node a, node b){ a.mxp=max(a.mxp,a.sum+b.mxp); a.mnp=min(a.mnp,a.sum+b.mnp); a.mxs=max(a.mxs+b.sum,b.mxs); a.mns=min(a.mns+b.sum,b.mns); a.sum+=b.sum; return a; } node NEUT({-INF,INF,-INF,INF,0}); struct STcustom{ vector<node>t; ll n; STcustom(ll n):t(2*n+5,node({0,0,0,0,0})),n(n){} void upd(ll p, ll v){ p+=n; t[p].mxp+=v,t[p].mnp+=v,t[p].mxs+=v,t[p].mns+=v,t[p].sum+=v; for(;p>1;p>>=1)p^=p&1,t[p>>1]=oper(t[p],t[p^1]); } node query(ll l, ll r){ node izq=NEUT,der=NEUT; for(l+=n,r+=n;l<r;l>>=1,r>>=1){ if(l&1)izq=oper(izq,t[l++]); if(r&1)der=oper(t[--r],der); } return oper(izq,der); } }; const ll C=5e5,MAXN=2*C+5; struct STree{ vector<ll>t; ll n; STree(ll n):t(2*n+5,INF),n(n){} void upd(ll p, ll v){ for(p+=n,t[p]=min(t[p],v);p>1;p>>=1)t[p>>1]=min(t[p],t[p^1]); } ll query(ll l, ll r){ ll res=INF; for(l+=n,r+=n;l<r;l>>=1,r>>=1){ if(l&1)res=min(res,t[l++]); if(r&1)res=min(res,t[--r]); } return res; } }; ll l[MAXN],r[MAXN]; bool cmp(ll i, ll j){ return ii({l[i],i})<ii({l[j],j}); } const ll B=283; int sequence(int N, std::vector<int> A) { ll n=N; vector<ll>a(n); fore(i,0,n)a[i]=A[i]-1; vector<ll>pos[n]; fore(i,0,n)pos[a[i]].pb(i); STcustom st(n); fore(i,0,n)st.upd(i,1); ll res=1; vector<ll>s(n); fore(i,0,n)s[i]=1; fore(i,0,n)if(SZ(pos[i])){ for(auto j:pos[i])st.upd(j,-1),s[j]--; if(SZ(pos[i])<B){ fore(s,0,SZ(pos[i]))fore(e,s+1,SZ(pos[i])){ ll l=pos[i][s],r=pos[i][e]; ll dif=st.query(l,r+1).sum; node pre=st.query(0,l+1),suf=st.query(r,n); if(dif<=0){ if(dif+pre.mxs+suf.mxp+e-s+1>=0)res=max(res,e-s+1); } else { if(dif+pre.mns+suf.mnp-(e-s+1)<=0)res=max(res,e-s+1); } } } else { ll sum=0,rew=0; vector<ll>rw(n+1); vector<ll>ev{n}; l[n]=r[n]=rw[n]=0; fore(j,0,n){ sum+=s[j],rew+=a[j]==i; rw[j]=rew; l[j]=sum-rew,r[j]=sum+rew; ev.pb(j); } sort(ALL(ev),cmp); reverse(ALL(ev)); STree st(2*n+5+C); for(auto i:ev){ res=max(res,rw[i]-st.query(0,r[i]+C+1)); st.upd(r[i]+C,rw[i]); } } for(auto j:pos[i])st.upd(j,-1),s[j]--; } return res; }
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