This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "island.h"
#include <bits/stdc++.h>
using namespace std;
const int MAX_M = 300000;
const int GAP = 500;
struct UnionFind {
int n;
vector<int> uf,si,c;
UnionFind(int n=0):n(n),uf(n),si(n,1){
for(int i=0;i<n;++i)
uf[i]=i;
}
int find(int x){return x==uf[x]?x:find(uf[x]);}
bool join(int x, int y, bool keep_track = 1){
if((x=find(x))==(y=find(y))) return false;
if(si[x]<si[y]) swap(x,y);
si[x]+=si[y];uf[y]=x;
if(keep_track) c.push_back(y);
return true;
}
void rollback(){
while(c.size()){
int x=c.back(); c.pop_back();
si[uf[x]]-=si[x];uf[x]=x;;
}
}
} UF[MAX_M/GAP+2];
vector<pair<int,int>> edges;
vector<int> pos[100005];
int M, N;
map<int,int> memo[100005];
void Init(int K, vector<int> F, vector<int> S, vector<int> E){
N = F.size();
M = S.size();
edges.resize(M);
for(int i=0;i<N;++i) memo[i].clear();
for(int i=0;i<K;++i) pos[i].clear();
for(int i=0;i<M;++i) edges[M-i-1] = {S[i], E[i]};
for(int i=0;i<(int)F.size();++i)
pos[F[i]].push_back(i);
UnionFind cur(N);
for(int i=0;i<M;++i){
if(i%GAP==0) UF[i/GAP] = cur;
cur.join(edges[i].first, edges[i].second, 0);
}
}
int Separate(int A, int B){
if(A>B) swap(A,B);
if(memo[A].count(B)) return memo[A][B];
int bucket = 0, ans = -1;
for(int i=0;i<M;i+=GAP){
if(UF[i/GAP].find(pos[A][0]) == UF[i/GAP].find(pos[B][0]))
break;
bucket = i/GAP;
}
while(1){
for(auto i:pos[A]) UF[bucket].join(pos[A][0], i, 1);
for(auto i:pos[B]) UF[bucket].join(pos[B][0], i, 1);
if(UF[bucket].find(pos[A][0]) == UF[bucket].find(pos[B][0])){
UF[bucket--].rollback();
}
else{
break;
}
}
int start = bucket * GAP;
for(int i=start;i<=start+GAP && i<M; ++i){
UF[bucket].join(edges[i].first, edges[i].second, 1);
if(UF[bucket].find(pos[A][0]) == UF[bucket].find(pos[B][0])){
ans = M - i;
break;
}
}
assert(ans != -1);
UF[bucket].rollback();
return memo[A][B] = ans;
}
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