#include<bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using mint = atcoder::modint998244353;

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    int N, X, Q;
    cin >> N >> X >> Q;

    vector<int> parent_or_size(N, -1), difference_weight(N);
    vector<array<array<mint, 2>, 30>> cnt(N);
    vector<mint> ans(N);

    function<int(int)> leader = [&](int v){
        if (parent_or_size[v] < 0) return v;
        int root = leader(parent_or_size[v]);
        difference_weight[v] ^= difference_weight[parent_or_size[v]];
        return parent_or_size[v] = root;
    };

    auto merge = [&](int u, int v, int w){
        int x = leader(u), y = leader(v);
        w ^= difference_weight[u], w ^= difference_weight[v];
        if (-parent_or_size[x] < -parent_or_size[y]) swap(x, y);
        parent_or_size[x] += parent_or_size[y];
        parent_or_size[y] = x;
        ans[x] = 0;
        for(int i = 0; i < 30; i++){
            for(int j = 0; j < 2; j++){
                cnt[x][i][j ^ (w >> i & 1)] += cnt[y][i][j];
            }
            ans[x] += cnt[x][i][0] * cnt[x][i][1] * (1 << i);
        }
        difference_weight[y] = w;
    };

    auto distance = [&](int u, int v){
        int x = leader(u), y = leader(v);
        if(x != y) return -1;
        return difference_weight[v] ^ difference_weight[u];
    };


    for(int i = 0; i < N; i++){
        for(int j = 0; j < 30; j++) cnt[i][j][0]++;
    }

    while(Q--){
        int type, u, v, w;
        cin >> type;
        if(type == 1){
            cin >> v >> w;
            merge(v, X, w);
        }else if(type == 2){
            cin >> u >> v;
            v = distance(u, v);
            cout << v << '\n';
            if(v != -1) (X += v) %= N;
        }else if(type == 3){
            cin >> v;
            cout << ans[leader(v)].val() << '\n';
        }else{
            cin >> v;
            (X += v) %= N;
        }
    }
}