/* 
 * Author: $%U%$
 * Time: $%Y%$-$%M%$-$%D%$ $%h%$:$%m%$:$%s%$
 */
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
#define rep(i,a,b) for(ll i=(a);i<=(b);i++)
#define per(i,a,b) for(ll i=(a);i>=(b);i--)
#define re(i,a,b) for(ll i=(a);i<(b);i++)
#define pe(i,a,b) for(ll i=(a);i>(b);i--)
#define getchar()(p1==p2&&(p2=(p1=buf)+fread(buf,1,1<<21,stdin),p1==p2)?EOF:*p1++)
char buf[1<<21],*p1=buf,*p2=buf;
template <typename T>
inline void read(T& r) {
	r=0;bool w=0; char ch=getchar();
	while(ch<'0'||ch>'9') w=ch=='-'?1:0,ch=getchar();
	while(ch>='0'&&ch<='9') r=r*10+(ch^48), ch=getchar();
	r=w?-r:r;
}
template <typename T>
inline void readupp(T& r){
	r=0;
	char ch=getchar();
	while(ch>'Z'||ch<'A')ch=getchar();
	r=ch;
}
template <typename T>
inline void readlow(T& r){
	r=0;
	char ch=getchar();
	while(ch>'z'||ch<'a')ch=getchar();
	r=ch;
}
template <typename T>
inline void readdig(T& r){
	r=0;
	char ch=getchar();
	while(ch>'9'||ch<'0')ch=getchar();
	r=ch-'0';
}
template <typename T>
inline void readvisi(T& r){
	r=0;
	char ch=getchar();
	while(ch>126||ch<33)ch=getchar();
	r=ch;
}
template <typename T>
inline ll readlowstr(T& r){
	ll n=0;
	char ch=getchar();
	while(ch>'z'||ch<'a')ch=getchar();
	while(ch<='z'&&ch>='a')r[++n]=ch-'a',ch=getchar();
	return n;
}
template <typename T>
inline ll readuppstr(T& r){
	ll n=0;
	char ch=getchar();
	while(ch>'Z'||ch<'A')ch=getchar();
	while(ch<='Z'&&ch>='A')r[++n]=ch-'A',ch=getchar();
	return n;
}
template <typename T>
inline ll readdigstr(T& r){
	ll n=0;
	char ch=getchar();
	while(ch>'9'||ch<'0')ch=getchar();
	while(ch<='9'&&ch>='0')r[++n]=ch-'0',ch=getchar();
	return n;
}
template <typename T>
inline ll readvisistr(T& r){
	ll n=0;
	char ch=getchar();
	while(ch>126||ch<33)ch=getchar();
	while(ch<=126&&ch>=33)r[++n]=ch,ch=getchar();
	return n;
}
const ll MOD=998244353;
ll gcd(ll A,ll B){return B?gcd(B,A%B):A;}
template<typename T>
void chkmax(T&A,T B){if(A<B)A=B;}
template<typename T>
void chkmin(T&A,T B){if(A>B)A=B;}
template<typename T>
T Madd(T A,T B){return A+B>=MOD?A+B-MOD:A+B;}
template<typename T>
T Msub(T A,T B){return A-B<0?A-B+MOD:A-B;}
template<typename T>
void MODed(T &A){A%=MOD;A+=(A<0?MOD:0);}
ll pw(ll A,ll B){
	ll res=1;
	while(B){
		if(B&1)res=res*A%MOD;
		A=A*A%MOD;
		B>>=1;
	}
	return res;
}
void _FILE(string s){
	freopen((s+".in").c_str(),"r",stdin);
	freopen((s+".out").c_str(),"w",stdout);
}
const ll N=200003,M=3003,INF=2000000000000000007ll;
ll n,X,q,id[N],dis[N],rk[N],sz[N],Sz[N];
ll find(ll x){return x==id[x]?x:find(id[x]);}
int main(){
	read(n),read(X),read(q);
	re(i,0,n)id[i]=i,dis[i]=0,rk[i]=0,sz[i]=1;
	rep(i,1,q){
		ll in1,in2,in3;
		read(in1);
		if(in1==1){
			read(in2),read(in3);
			ll P=find(X),Q=find(in2);
			if(P==Q)continue;
			if(rk[P]>rk[Q])swap(P,Q);
			id[P]=Q;
			dis[P]=in3;
			rk[Q]=max(rk[Q],rk[P]+1);
			Sz[Q]=(Sz[P]+Sz[Q]+sz[P]*sz[Q]%MOD*in3%MOD)%MOD;
			sz[Q]+=sz[P];
		}
		if(in1==2){
			read(in2),read(in3);
			if(find(in2)!=find(in3)){
				puts("-1");
				continue;
			}
			ll lb=0,rb=1000000000,mid=114514;
			while(lb<rb){
				mid=(lb+rb)/2;
				ll tmp1=in2,tmp2=in3;
				while(id[tmp1]!=tmp1&&dis[tmp1]<=mid)tmp1=id[tmp1];
				while(id[tmp2]!=tmp2&&dis[tmp2]<=mid)tmp2=id[tmp2];
				if(tmp1==tmp2)rb=mid;
				else lb=mid+1;
			}
			X=(X+lb)%n;
			printf("%lld\n",lb);
		}
		if(in1==3){
			read(in2);
			printf("%lld\n",Sz[find(in2)]);
		}
		if(in1==4){
			read(in2);
			X=(X+in2)%n;
		}
	}
	return 0;
}