#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
using namespace std;
using std::cout;
using std::cin;
using std::endl;
using ll=long long;
using ld=long double;
ll ILL=2167167167167167167;
const int INF=2100000000;
const int mod=998244353;
#define rep(i,a,b) for (int i=a;i<b;i++)
#define all(p) p.begin(),p.end()
template<class T> using _pq = priority_queue<T, vector<T>, greater<T>>;
template<class T> ll LB(vector<T> &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> ll UB(vector<T> &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();}
template<class T> bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;}
template<class T> bool chmax(T &a,const T &b){if(a<b){a=b;return 1;}else return 0;}
template<class T> void So(vector<T> &v) {sort(v.begin(),v.end());}
template<class T> void Sore(vector<T> &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});}
void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";}
template<class T> void vec_out(vector<T> &p){for(int i=0;i<(int)(p.size());i++){if(i) cout<<" ";cout<<p[i];}cout<<"\n";}
template<class T> T vec_min(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmin(ans,x);return ans;}
template<class T> T vec_max(vector<T> &a){assert(!a.empty());T ans=a[0];for(auto &x:a) chmax(ans,x);return ans;}
template<class T> T vec_sum(vector<T> &a){assert(!a.empty());T ans=a[0]-a[0];for(auto &x:a) ans+=x;return ans;}
int pop_count(long long a){int res=0;while(a){res+=(a&1),a>>=1;}return res;}


namespace po167{
struct UFtree
{
	using _F=ll;
	int _n;
	std::vector<_F> wei;
	vector<ll> cou;
	std::vector<int> q;
	vector<ll> ans;
	vector<set<int>> s;
	int component;
	UFtree(int n,int qu):_n(n),wei(n),cou(n),ans(qu),s(n),component(n),par(n){
		for(int i=0;i<n;i++){
			wei[i]=0,par[i]=i;
			cou[i]=1;
		}
		rep(i,0,qu) ans[i]=-1;
	}
	void rev(int a,int b,int t){
		if(a==b){
			ans[t]=0;
			return;
		}
		s[a].insert(t);
		s[b].insert(t);
		//cout<<a<<" "<<b<<" "<<s[a].size()<<" "<<s[b].size()<<endl;
	}
	void intialize(){
		for(auto x:q){
			wei[root(x)]=1;
			par[x]=x;
		}
		component=(int)par.size();
		q={};
	}
	//根っこを返す
	int root(int a){
		assert(0<=a&&a<_n);
		if(a==par[a]) return a;
		return par[a]=root(par[a]);
	}
	//trueなら1,falseなら0
	int same(int a,int b){
		assert(0<=a&&a<_n);
		assert(0<=b&&b<_n);
		if(root(a)==root(b)) return 1;
		else return 0;
	}
	_F size(int a){
		return wei[root(a)];
	}
	//a,bが違う根っこの元なら結合する,結合したらtrueを返す
	bool unite(int a,int b,ll w){
		a=root(a),b=root(b);
		if(a==b) return false;
		if(cou[a]<cou[b]) std::swap(a,b);
		par[b]=a;
		q.push_back(b);
		wei[a]+=wei[b];
		wei[a]+=(((cou[a]*cou[b])%mod)*w)%mod;
		wei[a]%=mod;
		cou[a]+=cou[b];
		if(s[a].size()<s[b].size()) swap(s[a],s[b]);
		//cout<<s[a].size()<<" "<<s[b].size()<<endl;
		for(auto x:s[b]){
			if(!s[a].insert(x).second){
				ans[x]=w;
				s[a].erase(x);
			}
		}
		component--;
		return true;
	}
	private:
	std::vector<int> par;
};
}
using po167::UFtree;


void solve();
// oddloop
int main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	
	int t=1;
	//cin>>t;
	rep(i,0,t) solve();
}

void solve(){
	ll N,X,Q;
	cin>>N>>X>>Q;
	UFtree T(N,Q);
	vector<ll> typ(Q);
	vector<vector<ll>> op(Q);
	rep(i,0,Q){
		cin>>typ[i];
		if(typ[i]<=2){
			op[i].resize(2);
		}
		else op[i].resize(1);
		for(auto &x:op[i]) cin>>x;
		if(typ[i]==2){
			T.rev(op[i][0],op[i][1],i);
		}
	}
	rep(i,0,Q){
		//vec_out(T.ans);
		if(typ[i]==1){
			T.unite(op[i][0],X,op[i][1]);
		}
		if(typ[i]==2){
			ll v=T.ans[i];
			cout<<v<<"\n";
			if(v!=-1) X=(X+v)%N;
		}
		if(typ[i]==3){
			op[i][0]=T.root(op[i][0]);
			cout<<T.wei[op[i][0]]%mod<<"\n";
		}
		if(typ[i]==4){
			X=(X+op[i][0])%N;
		}
	}
}