#include<bits/stdc++.h>
#include<atcoder/all>
using namespace std;
namespace my{
using ml=atcoder::modint998244353;
auto&operator>>(istream&i,ml&x){int t;i>>t;x=t;return i;}
auto&operator<<(ostream&o,const ml&x){return o<<(int)x.val();}
#define eb emplace_back
#define LL(...) ll __VA_ARGS__;lin(__VA_ARGS__)
#define FO(n) for(ll ij=n;ij-->0;)
#define FOR(i,...) for(auto[i,i##stop,i##step]=range(0,__VA_ARGS__);i<i##stop;i+=i##step)
#define fo(i,...) FO##__VA_OPT__(R)(i __VA_OPT__(,__VA_ARGS__))
#define fe(a,i,...) for(auto&&__VA_OPT__([)i __VA_OPT__(,__VA_ARGS__]):a)
#define single_testcase void solve();}int main(){my::io();my::solve();}namespace my{
void io(){cin.tie(nullptr)->sync_with_stdio(0);cout<<fixed<<setprecision(15);}
using ll=long long;
using ull=unsigned long long;
using ulll=__uint128_t;
using lll=__int128_t;
istream&operator>>(istream&i,ulll&x){ull t;i>>t;x=t;return i;}
ostream&operator<<(ostream&o,const ulll&x){return(x<10?o:o<<x/10)<<ll(x%10);}
istream&operator>>(istream&i,lll&x){ll t;i>>t;x=t;return i;}
ostream&operator<<(ostream&o,const lll&x){return o<<(x<0?"-":"")<<ulll(x>0?x:-x);}
constexpr auto range(bool s,auto...a){array<ll,3>r{0,0,1};ll I=0;((r[I++]=a),...);if(!s&&I==1)swap(r[0],r[1]);r[0]-=s;if(s)r[2]*=-1;return r;}
constexpr char newline=10;
constexpr char space=32;
constexpr auto schrodinger(bool p,char c){return string(p,c);}
lll pow(lll x,ll n){assert(n>=0);lll r=1;while(n)n&1?r*=x:r,x*=x,n>>=1;return r;}
constexpr auto at2(auto x,auto i){return x>>i&1;}

auto&rev(auto&a){ranges::reverse(a);return a;}

template<class T>struct queue:std::queue<T>{
  queue(const initializer_list<T>&a={}){fe(a,e)this->emplace(e);}
  queue(const vector<T>&a){fe(a,e)this->emplace(e);}
  ll size()const{return std::queue<T>::size();}
  T pop(){T r=this->front();std::queue<T>::pop();return r;}
  friend ostream&operator<<(ostream&o,queue q){while(q.size())o<<q.pop()<<schroedinger(q.size()>0,space);return o;}
};

template<class T>struct unordered_set:std::unordered_set<T>{
  unordered_set(const initializer_list<T>&a={}){fe(a,e)this->emplace(e);}
  unordered_set(const vector<T>&a){fe(a,e)this->emplace(e);}
  ll size()const{return std::unordered_set<T>::size();}
};

template<ll k>auto pack_kth(const auto&...a){return get<k>(make_tuple(a...));}
template<class T,ll n>auto pack_slice(const auto&...a){return[&]<size_t...I>(index_sequence<I...>){return array<T,n>{get<I>(forward_as_tuple(a...))...};}(make_index_sequence<n>{});}

template<class V>concept vectorial=is_base_of_v<vector<typename V::value_type>,V>;
template<class V>istream&operator>>(istream&i,vector<V>&v){fe(v,e)i>>e;return i;}
template<class V>ostream&operator<<(ostream&o,const vector<V>&v){fe(v,e)o<<e<<schrodinger(&e!=&v.back(),vectorial<V>?newline:space);return o;}

template<class V>struct vec;
template<int rank,class T>struct tensor_helper{using type=vec<typename tensor_helper<rank-1,T>::type>;};
template<class T>struct tensor_helper<0,T>{using type=T;};
template<int rank,class T>using tensor=typename tensor_helper<rank,T>::type;

template<class V>struct vec:vector<V>{
  using vector<V>::vector;
  vec(const vector<V>&v){vector<V>::operator=(v);}

  template<class...A>requires(sizeof...(A)>=3)vec(A...a){const ll n=sizeof...(a)-1;auto t=pack_slice<ll,n>(a...);ll s[n];fo(i,n)s[i]=t[i];*this=make_vec(s,pack_kth<n>(a...));}
  template<class T,ll n,ll i=0>static auto make_vec(const ll(&s)[n],T x){if constexpr(i==n-1)return vec<T>(s[i],x);else{auto X=make_vec<T,n,i+1>(s,x);return vec<decltype(X)>(s[i],X);}}

  vec&operator^=(const vec&u){this->insert(this->end(),u.begin(),u.end());return*this;}
  vec operator^(const vec&u)const{return vec{*this}^=u;}
  vec&operator+=(const vec&u){vec&v=*this;assert(v.size()==u.size());fo(i,v.size())v[i]+=u[i];return v;}
  vec&operator-=(const vec&u){vec&v=*this;assert(v.size()==u.size());fo(i,v.size())v[i]-=u[i];return v;}
  vec operator+(const vec&u)const{return vec{*this}+=u;}
  vec operator-(const vec&u)const{return vec{*this}-=u;}
  vec&operator++(){fe(*this,e)++e;return*this;}
  vec&operator--(){fe(*this,e)--e;return*this;}
  vec operator-()const{vec v=*this;fe(v,e)e=-e;return v;}

  vec&operator%=(auto M){vec&v=*this;fe(v,e)e%=M;return v;}
  vec operator%(auto M)const{return vec{*this}%=M;}

  ll size()const{return vector<V>::size();}
  template<class T=ll>auto iota()const{vec<T>r(size());fo(i,size())r[i]=i;return r;}

  auto rev()const{vec v=*this;ranges::reverse(v);return v;}
};
template<class...A>requires(sizeof...(A)>=2)vec(A...a)->vec<tensor<sizeof...(a)-2,remove_reference_t<decltype(get<sizeof...(a)-1>(declval<tuple<A...>>()))>>>;
vec(ll)->vec<ll>;

void lin(auto&...a){(cin>>...>>a);}

template<class T=ll>auto iota(auto...a){array<ll,2>v{};ll I=0;((v[I++]=a),...);if(I==1)swap(v[0],v[1]);vec<T>r(v[1]-v[0]);std::iota(r.begin(),r.end(),v[0]);return r;}

struct dsu{
  ll n;
  vec<ll>par_or_size;

  dsu(ll n):n(n),par_or_size(n,-1){}

  auto merge(ll a,ll b){
    ll x=leader(a),y=leader(b);
    if(x==y)return tuple{x,a,y,b};
    if(-par_or_size[x]<-par_or_size[y])swap(x,y),swap(a,b);

    par_or_size[x]+=par_or_size[y];
    par_or_size[y]=x;
    return tuple{x,a,y,b};
  }

  bool same(ll a,ll b){return leader(a)==leader(b);}

  ll leader(ll a){
    assert(0<=a&&a<n);
    if(par_or_size[a]<0)return a;
    return par_or_size[a]=leader(par_or_size[a]);
  }

  ll size(ll a){return-par_or_size[leader(a)];}
};

template<class WT>struct edge{
  ll from,to;
  WT wt;
  ll id;
  edge()=default;
  edge(ll from,ll to,WT wt=1,ll id=-1):from(from),to(to),wt(wt),id(id){}
  auto rev()const{auto e=*this;swap(e.from,e.to);return e;}
  auto operator<=>(const edge&e)const{return wt<=>e.wt;}
  friend ostream&operator<<(ostream&o,const edge&e){return o<<"(to "<<e.to<<", wt "<<e.wt<<",id "<<e.id<<")";}
};

template<class WT>struct rooted_tree{
  vec<vec<edge<WT>>>edges;
  vec<edge<WT>>rev_edge;
  ll r;
  rooted_tree(ll n,ll r):edges(n),rev_edge(n,{-1,-1,WT{},-1}),r(r){}

  friend ostream&operator<<(ostream&o,const rooted_tree&g){
    fo(u,g.size()){
      o<<"from "<<u<<": ";
      fo(j,g[u].size())o<<g[u][j]<<schrodinger(j!=g[u].size()-1,space);
      o<<newline;
    }
    return o;
  }

  decltype(auto)operator[](ll i){return edges[i];}
  decltype(auto)operator[](ll i)const{return edges[i];}
  ll size()const{return edges.size();}

  ll par(ll u)const{return u==r?-1:rev_edge[u].from;}

  void add_edge_and_set_rev_edge(const edge<WT>&e){
    edges[e.from].eb(e);
    rev_edge[e.to]=e;
  }

  auto bfs_order(ll start)const{
    vec<ll>ord;
    queue<ll>q{start};
    while(q.size()){
      ll u=q.pop();
      ord.eb(u);
      fe(edges[u],e)q.emplace(e.to);
    }
    return ord;
  }

  auto&set_root(ll U){
    if(par(U)==-1)return*this;

    ll pre=-1,cu=U;
    while(cu!=-1){
      ll nx=par(cu);

      vec<edge<WT>>new_edges;
      new_edges.reserve(edges[cu].size());

      if(nx!=-1){
        new_edges.eb(rev_edge[cu].rev());
        if(cu==U)rev_edge[cu]={-1,-1,WT{},-1};
      }

      fe(edges[cu],e){
        if(e.to==pre)rev_edge[cu]=e.rev();
        else new_edges.eb(e);
      }
      swap(new_edges,edges[cu]);
      pre=cu;
      cu=nx;
    }
    r=U;
    return*this;
  }
};

template<class WT>struct rooted_forest:rooted_tree<WT>{
  unordered_set<ll>roots;

  rooted_forest(ll n):rooted_tree<WT>(n,-1),roots(iota(n)){}

  auto&merge(const edge<WT>&e){
    this->set_root(e.to);
    this->add_edge_and_set_rev_edge(e);
    roots.erase(e.to);
    return*this;
  }
};

void pp(auto&&...a){ll n=sizeof...(a);((cout<<a<<schrodinger(--n>0,space)),...);cout<<newline;}
single_testcase
void solve(){
  LL(N,X,Q);

  rooted_forest<ll>g(N);
  dsu uf(N);

  vec xor_dist(N);
  ll B=30;
  vec cnt(N,B,0LL);

  fo(Q){
    LL(f);--f;
    if(f==0){
      LL(u,w);
      auto[nl,from,ol,to]=uf.merge(u,X);
      g.merge(edge<ll>{from,to,w});

      fe(g.bfs_order(to),v){
        xor_dist[v]^=w^xor_dist[from];
        fo(b,B)cnt[nl][b]+=at2(xor_dist[v],b);
      }

    }else if(f==1){
      LL(u,v);
      if(!uf.same(u,v)){
        pp(-1);
        continue;
      }

      ll res=xor_dist[u]^xor_dist[v];
      (X+=res)%=N;
      pp(res);
    }else if(f==2){
      LL(u);
      ll l=uf.leader(u);
      ll sz=uf.size(l);
      ml res=0;
      fo(b,B)res+=ml{2}.pow(b)*cnt[l][b]*(sz-cnt[l][b]);
      pp(res);
    }else if(f==3){
      LL(x);
      (X+=x)%=N;
    }
  }
}}