Travel 并查集

时间:2020-12-09 20:42:23

题意:给一个图,若干询问,每次询问只经过边权<=w的边,x能到达的点数

并查集啊,对询问和边排序,直接合并,维护size,查询

#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<cmath>
#define N 105000
using namespace std;
int fa[N],size[N],n,m,k;
struct data{
int u,v,w;
}d[4*N];
bool cmpd(data a,data b){return a.w<b.w;}
struct query{
int u,w,ans,id;
}q[N];
bool cmpq(query a,query b){return a.w<b.w;}
bool back(query a,query b){return a.id<b.id;}
int find(int x){
if(fa[x]==x)return x;
fa[x]=find(fa[x]);
return fa[x];
}
void hb(int x,int y){
x=find(x);y=find(y);
if(x==y)return;
fa[y]=x;size[x]+=size[y];
}
int main(){
scanf("%d%d%d",&n,&m,&k);
for(int i=1;i<=n;i++){fa[i]=i;size[i]=1;}
for(int i=1;i<=m;i++)
scanf("%d%d%d",&d[i].u,&d[i].v,&d[i].w);
sort(d+1,d+m+1,cmpd);
for(int i=1;i<=k;i++){
scanf("%d%d",&q[i].u,&q[i].w);
q[i].id=i;
}
sort(q+1,q+k+1,cmpq); q[k+1].w=q[k].w+1;
int now=q[1].w,ee=1,pos=1;
while(now<=q[k].w){
for(;ee<=m&&d[ee].w<=now;ee++)
hb(d[ee].u,d[ee].v);
for(;q[pos].w==now;pos++)
q[pos].ans=size[find(q[pos].u)];
now=q[pos].w;
}
sort(q+1,q+k+1,back);
for(int i=1;i<=k;i++)
printf("%d\n",q[i].ans);
return 0;
}