제출 #933039

#제출 시각아이디문제언어결과실행 시간메모리
933039Edu175서열 (APIO23_sequence)C++17
63 / 100
1916 ms88572 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=8e4,MAXN=2*C+5; int ft[MAXN+1]; // for more dimensions, make ft multi-dimensional void upd(int i0, int v){ // add v to i0th element (0-based) // add extra fors for more dimensions for(int i=i0+1;i<=MAXN;i+=i&-i)ft[i]=min(ft[i],v); } int get(int i0){ // get sum of range [0,i0) int r=INF; // add extra fors for more dimensions for(int i=i0;i;i-=i&-i)r=min(r,ft[i]); return r; } ll l[MAXN],r[MAXN]; bool cmp(ll i, ll j){ return ii({l[i],i})<ii({l[j],j}); } const ll B=84; 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])){ vector<ll>&v=pos[i]; for(auto j:v)st.upd(j,-1),s[j]--; if(SZ(v)<B){ vector<node> pre(SZ(v)),suf(SZ(v)); fore(j,0,SZ(v)){ ll p=v[j]; pre[j]=st.query(0,p+1); suf[j]=st.query(p,n); } fore(s,0,SZ(v))fore(e,s+1,SZ(v)){ ll dif=pre[e].sum-pre[s].sum; if(dif<=0){ if(dif+pre[s].mxs+suf[e].mxp+e-s+1>=0) res=max(res,e-s+1); } else { if(dif+pre[s].mns+suf[e].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)); fore(i,0,MAXN)ft[i]=INF; for(auto i:ev){ res=max(res,rw[i]-get(r[i]+C+1)); upd(r[i]+C,rw[i]); } } for(auto j:v)st.upd(j,-1),s[j]--; } return res; }
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