Submission #1255080

#TimeUsernameProblemLanguageResultExecution timeMemory
1255080NemanjaSo2005Obstacles for a Llama (IOI25_obstacles)C++20
83 / 100
523 ms118088 KiB
#include "obstacles.h" #include<bits/stdc++.h> #define ll long long using namespace std; const int maxn=2e5+5; int n,m,temp[maxn],hum[maxn],maxt[maxn],mint[maxn],lpar[20][maxn],rpar[20][maxn],lval[20][maxn],rval[20][maxn],dubl[maxn],dubr[maxn]; struct slog{ int mn,mx; } st[4*maxn]; slog stspoj(slog a,slog b){ slog r; if(hum[a.mn]<hum[b.mn]) r.mn=a.mn; else r.mn=b.mn; r.mx=max(a.mx,b.mx); return r; } int stk; slog get(int lg,int dg,int gde=1,int lc=1,int dc=stk){ if(lg==lc and dg==dc) return st[gde]; int sred=(lc+dc)/2; if(dg<=sred) return get(lg,dg,gde*2,lc,sred); if(lg>sred) return get(lg,dg,gde*2+1,sred+1,dc); slog v1,v2; v1=get(lg,sred,gde*2,lc,sred); v2=get(sred+1,dg,gde*2+1,sred+1,dc); return stspoj(v1,v2); } int rod[maxn],vel[maxn]; int getp(int x){ if(rod[x]==x) return x; rod[x]=getp(rod[x]); return rod[x]; } void spoj(int a,int b){ a=getp(a); b=getp(b); if(a==b) return; if(vel[a]<vel[b]) swap(a,b); vel[a]=max(vel[a],vel[b]+1); rod[b]=a; return; } int najtemp(int x){ int dg=1,gg=n,sred,res; while(dg<=gg){ sred=(dg+gg)/2; if(mint[sred]>x){ res=sred; dg=sred+1; } else gg=sred-1; } return maxt[res]; } void resi(int l,int r,int lp,int rp){ if(r<l) return; int m=get(l,r).mn; // cout<<"RESI "<<m<<" "<<hum[m]<<endl; // cout<<l<<" "<<r<<" "<<lp<<" "<<rp<<endl; if(hum[m]>=temp[1]) return; int mt=najtemp(hum[m]); bool ml=false,mr=false; //cout<<mt<<endl; if(lp!=-1){ int mx=get(lp,m).mx; // cout<<"LEFT hum "<<mx<<" temp "<<mt<<endl; if(mx<mt){ spoj(m,lp); ml=true; } } if(rp!=-1){ int mx=get(m,rp).mx; // cout<<"RIGHT hum "<<mx<<" temp "<<mt<<endl; if(mx<mt){ spoj(m,rp); mr=true; } } if(ml) lpar[0][m]=lp; else if(mr) lpar[0][m]=rp; if(mr) rpar[0][m]=rp; else if(ml) rpar[0][m]=lp; resi(l,m-1,lp,m); resi(m+1,r,m,rp); } bool lbio[maxn],rbio[maxn]; vector<int> lstab[maxn],rstab[maxn]; void dfsl(int gde,int d){ if(lbio[gde]) return; lbio[gde]=true; dubl[gde]=d; for(int x:lstab[gde]) dfsl(x,d+1); } void dfsr(int gde,int d){ if(rbio[gde]) return; rbio[gde]=true; dubr[gde]=d; for(int x:rstab[gde]) dfsr(x,d+1); } int liftl(int x,int d){ int ans=x; for(int j=18;j>=0;j--){ int ko=lpar[j][x]; if(dubl[ko]>=d){ ans=min(ans,lval[j][x]); x=ko; } } return ans; } int liftr(int x,int d){ int ans=x; for(int j=18;j>=0;j--){ int ko=rpar[j][x]; if(dubr[ko]>=d){ ans=max(ans,rval[j][x]); x=ko; } } return ans; } vector<int> red; bool cmp(int a,int b){ return hum[a]<hum[b]; } void initialize(std::vector<int> T, std::vector<int> H) { n=T.size(); m=H.size(); for(int i=1;i<=n;i++) temp[i]=T[i-1]; for(int i=1;i<=m;i++) hum[i]=H[i-1]; for(int i=1;i<=m;i++) lpar[0][i]=rpar[0][i]=i; stk=1; while(stk<m) stk<<=1; for(int i=stk;i<stk+m;i++){ st[i].mx=hum[i-stk+1]; st[i].mn=i-stk+1; } for(int i=stk-1;i>=1;i--) st[i]=stspoj(st[i*2],st[i*2+1]); for(int i=1;i<=m;i++){ rod[i]=i; vel[i]=1; } maxt[1]=mint[1]=temp[1]; for(int i=2;i<=n;i++){ maxt[i]=max(maxt[i-1],temp[i]); mint[i]=min(mint[i-1],temp[i]); } resi(1,m,-1,-1); for(int i=1;i<=m;i++){ lstab[lpar[0][i]].push_back(i); rstab[rpar[0][i]].push_back(i); } for(int i=1;i<=m;i++) red.push_back(i); sort(red.begin(),red.end(),cmp); for(int i:red){ dfsl(i,0); dfsr(i,0); } for(int i=0;i<=m;i++){ lval[0][i]=rval[0][i]=i; } for(int j=1;j<=18;j++){ for(int i=1;i<=m;i++){ lpar[j][i]=lpar[j-1][lpar[j-1][i]]; lval[j][i]=min(lval[j-1][i],lval[j-1][lpar[j-1][i]]); rpar[j][i]=rpar[j-1][rpar[j-1][i]]; rval[j][i]=max(rval[j-1][i],rval[j-1][rpar[j-1][i]]); } }/* for(int i=1;i<=m;i++){ cout<<i<<" "<<lpar[0][i]<<endl; }*/ return; } bool can_reach(int L, int R, int S, int D) { S++; D++; if(S>D) swap(S,D); if(getp(S)!=getp(D)) return false; L++; R++; int mid=get(S,D).mn; int l=liftl(S,dubl[mid]); int r=liftr(D,dubr[mid]); // cout<<l<<" "<<r<<endl; return L<=l and r<=R; }
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