#include<bits/stdc++.h>

#define vc vector
#define pb emplace_back
#define pii pair<int, int>
#define mkp make_pair
#define tup tuple <int, int, int>
#define mkt make_tuple
#define rep(i, a, b) for(int i = (a); i <= (b); ++i)
#define lep(i, a, b) for(int i = (a); i >= (b); --i)

using namespace std;
bool st;

mt19937 gen(time(0));

inline int read() {
	int x = 0, w = 0; char ch = getchar(); while(!isdigit(ch)) w |= (ch == '-'), ch = getchar();
	while(isdigit(ch)) x = x * 10 + (ch ^ 48), ch = getchar(); return w ? -x : x; 
}

const int N = 1e5 + 5, B = 1, SZ = 256;

int n, m, q, col[N], key[N];
int DFN, idx, cnt, scc, topf, deg[N], id[N], ID[N], dfn[N], low[N], stk[N], ins[N];
pii e[N];
tup o[N];
bitset < SZ > to[N];
vc <int> G[N], Gra[N];
vc <pii> K[N];

inline void tarjan (int x) {
	dfn[x] = low[x] = ++ DFN; stk[++ topf] = x; ins[x] = 1;
	for (auto y : G[x]) 
		if (!dfn[y]) tarjan (y), low[x] = min (low[x], low[y]);
		else if (ins[y]) low[x] = min (low[x], dfn[y]);
	if (dfn[x] == low[x]) {
		int z; ++ scc;
		do { z = stk[topf --]; ins[z] = 0; id[z] = scc; } while (x != z);
	}
}

inline void toposort () {
	queue <int> Q; 
	rep (i, 0, idx) {
		to[i].reset ();
		if (!deg[i]) Q.push (i);
	} 
	while (!Q.empty ()) {
		int x = Q.front (); Q.pop ();
		if (x < cnt) to[x][x] = 1;
		for (auto y : Gra[x]) if (!(--deg[y])) to[y] |= to[x], Q.push (y);
	}
}

inline void init (int L, int R) {
	// clear 
	DFN = scc = cnt = topf = 0;
	rep (i, 0, n) key[i] = -1, dfn[i] = id[i] = deg[i] = 0;
	rep (i, 0, n) G[i].clear (), Gra[i].clear (), K[i].clear ();
	
	// add edge
	vc <int> ban (m + 1, 0), edge;
	rep (i, L, R) {
		auto [u, v, w] = o[i];
		if (u == 1) ban[v] = 1, edge.pb (v);
	}
	rep (i, 1, m) if (col[i] && !ban[i]) {
		auto [x, y] = e[i];
		G[x].pb (y);
	}
	
	// tarjan
	rep (i, 1, n) if (!dfn[i]) tarjan (i);
	
	// remark
	auto mark = [&] (int x) -> void {
		x = id[x];
		if (key[x] == -1) key[x] = cnt ++;
	} ;
	rep (i, L, R) {
		auto [u, v, w] = o[i];
		if (u == 1) mark (e[v].first);
		else mark (v), mark (w);
	}
	idx = cnt - 1;
	rep (i, 1, scc) ID[i] = key[i] == -1 ? ++ idx : key[i];
	rep (i, 1, n) id[i] = ID[id[i]];
	rep (x, 1, n) for (auto y : G[x]) 
		if (id[x] != id[y]) Gra[id[y]].pb (id[x]), ++ deg[id[x]];
	for (auto u : edge) {
		auto [x, y] = e[u]; x = id[x]; y = id[y];
		K[x].pb (mkp (y, u));
	}
	
	// toposort
	toposort ();
}

inline int ask (int s, int t) {
	bitset < SZ > vis, nxt; 
	queue <int> Q; 
	Q.push (s); vis[s] = 1;
	
	auto add = [&] (int x) -> void {
		while (( nxt = (to[x] & (~vis)) ).any ()) {
			int y = nxt._Find_first ();
			Q.push (y); vis[y] = 1;
		}
	};
	
	while (!Q.empty ()) {
		int x = Q.front (); Q.pop ();
		if (x == t) return 1;
		add (x);
		for (auto [y, u] : K[x]) if (col[u]) add (y);
	}
	return 0;
}

bool ed;
signed main() {
	cerr << (&ed - &st) / 1024 / 1024 << "MB ---------------------------" << endl;
	
	n = read (); m = read (); q = read ();
	for (int i = 1, u, v; i <= m; i++) {
		u = read (); v = read ();
		e[i] = mkp (u, v); col[i] = 1;
	}
	for (int i = 1, u, v, w; i <= q; i++) {
		u = read (), v = read ();
		if (u == 2) w = read (); 
		o[i] = mkt (u, v, w);
	}
	
	rep (t, 1, q) {
		if ((t - 1) % B == 0) init (t, min (t + B - 1, q));
		auto [u, v, w] = o[t];
		if (u == 1) col[v] ^= 1;
		else puts (ask (id[v], id[w]) ? "YES" : "NO");
	}
	
	return 0;
}