Submission #908326

#TimeUsernameProblemLanguageResultExecution timeMemory
908326winter0101Sequence (APIO23_sequence)C++17
82 / 100
2044 ms87972 KiB
#include<bits/stdc++.h> #include "sequence.h" using namespace std; #define all(fl) fl.begin(),fl.end() #define pb push_back #define fi first #define se second #define for1(i,j,k) for(int i=j;i<=k;i++) #define for2(i,j,k) for(int i=j;i>=k;i--) #define for3(i,j,k,l) for(int i=j;i<=k;i+=l) #define lb lower_bound #define ub upper_bound #define sz(a) (int)a.size() #define pii pair<int,int> #define pli pair<long long,int> #define gcd __gcd #define lcm(x,y) x*y/__gcd(x,y) const int maxn=5e5+9; struct IT_max{ int st[maxn*4],lazy[maxn*4]; void resz(int n){ for1(i,1,4*n)st[i]=lazy[i]=0; } void push(int id){ if (lazy[id]){ st[id<<1]+=lazy[id]; st[id<<1|1]+=lazy[id]; lazy[id<<1]+=lazy[id]; lazy[id<<1|1]+=lazy[id]; lazy[id]=0; } } void update(int id,int l,int r,int u,int v,int val){ if (l>v||r<u||u>v)return; if (u<=l&&r<=v){ st[id]+=val; lazy[id]+=val; return; } push(id); int mid=(l+r)>>1; update(id<<1,l,mid,u,v,val); update(id<<1|1,mid+1,r,u,v,val); st[id]=max(st[id<<1],st[id<<1|1]); } int get(int id,int l,int r,int u,int v){ if (l>v||r<u||u>v)return -maxn; if (u<=l&&r<=v)return st[id]; push(id); int mid=(l+r)>>1; return max(get(id<<1,l,mid,u,v),get(id<<1|1,mid+1,r,u,v)); } }; struct IT_min{ int st[maxn*4],lazy[maxn*4]; void resz(int n){ for1(i,1,4*n)st[i]=lazy[i]=0; } void push(int id){ if (lazy[id]){ st[id<<1]+=lazy[id]; st[id<<1|1]+=lazy[id]; lazy[id<<1]+=lazy[id]; lazy[id<<1|1]+=lazy[id]; lazy[id]=0; } } void update(int id,int l,int r,int u,int v,int val){ if (l>v||r<u||u>v)return; if (u<=l&&r<=v){ st[id]+=val; lazy[id]+=val; return; } push(id); int mid=(l+r)>>1; update(id<<1,l,mid,u,v,val); update(id<<1|1,mid+1,r,u,v,val); st[id]=min(st[id<<1],st[id<<1|1]); } int get(int id,int l,int r,int u,int v){ if (l>v||r<u||u>v)return maxn; if (u<=l&&r<=v)return st[id]; push(id); int mid=(l+r)>>1; return min(get(id<<1,l,mid,u,v),get(id<<1|1,mid+1,r,u,v)); } }; struct IT{ int st[maxn*4]; void update(int id,int l,int r,int u,int val){ if(l>u||r<u)return; if (l==r){ st[id]=val; return; } int mid=(l+r)>>1; update(id<<1,l,mid,u,val); update(id<<1|1,mid+1,r,u,val); st[id]=max(st[id<<1],st[id<<1|1]); } int walk(int id,int l,int r,int val){ if (st[id]<val)return -1; if (l==r)return l; int mid=(l+r)>>1; int ans=walk(id<<1,l,mid,val); if (ans==-1)return walk(id<<1|1,mid+1,r,val); return ans; } }; int n; int a[maxn]; vector<int>value[maxn]; int mx_l[maxn],mn_l[maxn],mn_r[maxn],mx_r[maxn]; int pf[maxn]; void pre(){ IT_max st1; IT_min st2; st1.resz(n),st2.resz(n); auto up=[&](int id,int val){ st1.update(1,1,n,id,n,val); st2.update(1,1,n,id,n,val); }; for1(i,1,n)up(i,-1); for1(i,1,n){ for (auto v:value[i]){ up(v,2); } for (auto v:value[i]){ pf[v]=st1.get(1,1,n,v,v); } for1(j,0,sz(value[i])-1){ int v=value[i][j]; if (j==sz(value[i])-1)mx_r[v]=st1.get(1,1,n,v,n)-pf[v],mn_r[v]=st2.get(1,1,n,v,n)-pf[v]; else mx_r[v]=st1.get(1,1,n,v,value[i][j+1]-1)-pf[v],mn_r[v]=st2.get(1,1,n,v,value[i][j+1]-1)-pf[v]; } } st1.resz(n),st2.resz(n); auto rup=[&](int id,int val){ st1.update(1,1,n,1,id,val); st2.update(1,1,n,1,id,val); }; for1(i,1,n)rup(i,-1); for1(i,1,n){ for (auto v:value[i])rup(v,2); for1(j,0,sz(value[i])-1){ int v=value[i][j]; int suffix=st1.get(1,1,n,v,v); if (j==0){ mx_l[v]=st1.get(1,1,n,1,v)-suffix,mn_l[v]=st2.get(1,1,n,1,v)-suffix; } else { mx_l[v]=st1.get(1,1,n,value[i][j-1]+1,v)-suffix,mn_l[v]=st2.get(1,1,n,value[i][j-1]+1,v)-suffix; } } } } struct type{ int id,val; bool fl; bool operator < (const type &p){ if (val==p.val)return fl<p.fl; return val<p.val; } }; int sequence(int N, std::vector<int> A) { n=N; for1(i,1,n)a[i]=A[i-1]; for1(i,1,n)value[a[i]].pb(i); int ans=0; pre(); IT st; for1(i,1,n){ vector<type>t; for1(j,0,sz(value[i])-1){ int v=value[i][j]; t.pb({j+1,pf[v]-mx_l[v],0}); t.pb({j+1,pf[v]+1+mx_r[v],1}); } sort(all(t)); int m=sz(value[i]); for1(j,1,4*m)st.st[j]=-n*10; for (auto v:t){ int id=value[i][v.id-1]; if (v.fl==0){ st.update(1,1,m,v.id,pf[id]-mn_l[id]-2*v.id); } else { int pos=st.walk(1,1,m,pf[id]+1+mn_r[id]-2*v.id-2); if (pos!=-1&&pos<=v.id){ ans=max(ans,v.id-pos+1); } } } } return ans; }
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