- P134's solution
-
P134's Solution
- @ 2026-1-18 23:50:35
这是另一个时间复杂度较高的做法:将询问离线下来,利用莫队和可撤销并查集完成操作。
#include<bits/stdc++.h>
#define rep(i,a,b) for(int i(a);i<=(b);++i)
#define req(i,a,b) for(int i(a);i>=(b);--i)
using namespace std;
char buf[1<<23],*p1=buf,*p2=buf,ubuf[1<<23],*u=ubuf;
#define getchar() (p1==p2&&(p2=(p1=buf)+fread(buf,1,1<<21,stdin),p1==p2)?EOF:*p1++)
template<typename TP> inline TP read(TP &num)
{
TP x=0;
int f=0;
char ch=getchar();
while(ch<48||ch>57) f|=ch=='-',ch=getchar();
while(48<=ch&&ch<=57) x=(x<<1)+(x<<3)+(ch^48),ch=getchar();
return num=f?-x:x;
}
template<typename ...Args> inline void read(Args &...args)
{
(read(args),...);
}
template<typename TP> inline void write(TP x)
{
(x<0)?(putchar('-'),x=-x):0;
(x>9)?(write(x/10),0):0;
putchar((x%10)^48);
}
template<typename TP> inline void writeln(TP x)
{
write<TP>(x);
puts("");
}
struct DSU
{
int n,st,sts;
vector<int> dsu;
stack<pair<int,int>> undo;
DSU(int n)
{
this->n=n;
dsu.resize(n+1);
rep(i,0,n) dsu[i]=i;
st=n;
}
int find(int x,bool sa=0)
{
if(dsu[x]==x) return x;
if(sa) undo.emplace(x,dsu[x]);
return dsu[x]=find(dsu[x],sa);
}
bool join(int x,int y)
{
int fx=find(x),fy=find(y);
if(fx==fy) return 0;
--st;
dsu[fx]=fy;
return 1;
}
void save(){sts=st;}
void recover()
{
st=sts;
while(!undo.empty())
{
pair<int,int> tmp=undo.top();undo.pop();
dsu[tmp.first]=tmp.second;
}
}
void tempjoin(int x,int y)
{
int fx=find(x,1),fy=find(y,1);
if(fx==fy) return;
--st;
undo.emplace(fx,dsu[fx]);
dsu[fx]=fy;
}
};
namespace Solve
{
int n,m,q,block=170;
inline void main()
{
read(n,m,q);
vector<array<int,2>> edge(m);
vector<array<int,3>> query(q);
rep(i,0,m-1) read(edge[i][0],edge[i][1]);
rep(i,0,q-1) read(query[i][0],query[i][1]),--query[i][0],--query[i][1],query[i][2]=i;
sort(query.begin(),query.end(),[](array<int,3> &a,array<int,3> &b)
{
int ba=a[0]/block,bb=b[0]/block;
if(ba!=bb) return ba<bb;
return a[1]<b[1];
});
DSU dsu(n);
vector<int> ans(q);
int lst=-1,pos=0;
rep(i,0,q-1)
{
int cur=query[i][0]/block;
if(cur!=lst)
{
dsu=DSU(n);
lst=cur;
pos=(cur+1)*block-1;
rep(j,(cur+1)*block,query[i][1]) dsu.join(edge[j][0],edge[j][1]),++pos;
}
while(pos<query[i][1]) ++pos,dsu.join(edge[pos][0],edge[pos][1]);
dsu.save();
for(int j=query[i][0];j<=query[i][1]&&j<(cur+1)*block;++j) dsu.tempjoin(edge[j][0],edge[j][1]);
ans[query[i][2]]=dsu.st;
dsu.recover();
}
rep(i,0,q-1) writeln(ans[i]);
}
}
signed main()
{
int T=1;while(T--)Solve::main();
return 0;
}