#include<bits/stdc++.h> 
#include<string>
#define ri register int
#define ll long long
#define mkp make_pair
using namespace std;
const int maxn=5e4+7;
int n,m,q;
int cnt,head[maxn],to[maxn<<1],nxt[maxn<<1];
int d[maxn];
void add(int u,int v){
	++cnt;
	d[v]++;
	to[cnt]=v;
	nxt[cnt]=head[u];
	head[u]=cnt;
}
struct opt{
	int op,u,v;
	int id;
}qry[maxn<<1];
vector<pair<int,int> >edge;
const int B=32;
bool tongxing[maxn<<1];
int vis[maxn];
vector<int>pnt;
namespace Small_G{
	int ed[65][65];
	ll fr[65];
	bool vis[65];
	void clear(){
		memset(ed,0,sizeof(ed));
		for(ri i=1;i<=64;i++){
			fr[i]=0;
		}
	}
	void change(int u,int v){
		ed[u][v]^=1;
	}
	int n;
	bool find(int u,int goal){
		if(u==goal)return 1;
		vis[u]=1;
//		cout<<u<<endl;
		for(ri v=1;v<=n;v++){
			if(ed[u][v]&&vis[v]){
				assert(0);
			}
			if(ed[u][v]&&!vis[v]){
				if(find(v,goal))return 1;
			}
		}
		return 0;
	}
	bool kd(int u,int v){
		memset(vis,0,sizeof(vis));
		return find(u,v);
	}
} 
struct my_queue{
	int num[maxn];
	int head,tail;
	void clear(){
		head=1,tail=0;
	}
	void push(int x){
		num[++tail]=x;
	} 
	void pop(){
		++head;
	}
	int front(){
		return num[head];
	}
	bool empty(){
		return tail<head;
	}
}qq;
ll kd[maxn];
void solve(int l,int r){
//	cout<<l<<' '<<r<<endl;
	for(ri i=l;i<=r;i++){
		vis[qry[i].u]=1;
		vis[qry[i].v]=1;
	}
	pnt.clear();
	for(ri i=1;i<=n;i++){
		if(vis[i])pnt.emplace_back(i);
	}
	for(ri i=0;i<pnt.size();i++){
		vis[pnt[i]]=i+1;
	}
	memset(nxt,0,sizeof(nxt));
	memset(head,0,sizeof(head));
	memset(d,0,sizeof(d));
	cnt=0;
	for(ri i=0;i<edge.size();i++){
		if(tongxing[i]){
			add(edge[i].first,edge[i].second);
		}
	}
	qq.clear();
	Small_G::clear();
	Small_G::n=pnt.size();
	for(ri i=1;i<=n;i++){
		if(d[i]==0){
			qq.push(i);
		}
	} 
	memset(kd,0,sizeof(kd));
	while(!qq.empty()){
		int u=qq.front();qq.pop();
		if(vis[u]){
			for(ri i=0;i<pnt.size();i++){
				if(kd[u]>>i&1){
					Small_G::change(i+1,vis[u]);
				}
			}
			kd[u]=1ll<<vis[u]-1;
		}
		for(ri e=head[u];e;e=nxt[e]){
			int v=to[e];
			kd[v]|=kd[u];
			d[v]--;
			if(d[v]==0){
				qq.push(v);
			}
		}
	}
	for(ri i=l;i<=r;i++){
		if(qry[i].op==1){
			Small_G::change(vis[qry[i].u],vis[qry[i].v]);
			tongxing[qry[i].id]^=1;
		} 
		else {
			cout<<(Small_G::kd(vis[qry[i].u],vis[qry[i].v])?"YES":"NO")<<endl;
		}
	}
	memset(vis,0,sizeof(vis));
}
signed main(){
	ios::sync_with_stdio(0);
	cin>>n>>m>>q;
	for(ri i=1;i<=m;i++){
		int u,v;
		cin>>u>>v;
		edge.emplace_back(mkp(u,v));
	}
	memset(tongxing,1,sizeof(tongxing));
	for(ri i=1;i<=q;i++){
		cin>>qry[i].op;
		if(qry[i].op==1){
			cin>>qry[i].id;
			qry[i].id--;
			qry[i].u=edge[qry[i].id].first;
			qry[i].v=edge[qry[i].id].second;
		}
		else{
			cin>>qry[i].u>>qry[i].v;
		}
	}
	for(ri i=1;i<=q/B;i++){
		solve((i-1)*B+1,i*B);
	}
	if(q%B)solve(q/B*B+1,q);
	return 0;
}
/*
5 6 7
1 2
1 3
2 4
3 4
3 5
4 5
2 1 5
2 2 3
1 3
1 4
2 1 4
1 3
2 1 5
*/