//
// Created by Bhagirathi on 2019-04-21.
//
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <sstream>
#include <queue>
#include <deque>
#include <bitset>
#include <iterator>
#include <list>
#include <stack>
#include <map>
#include <set>
#include <functional>
#include <numeric>
#include <utility>
#include <limits>
#include <time.h>
#include <math.h>
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <assert.h>
#include <algorithm>
#include <chrono>
#include <random>
#include <vector>
using namespace std;
/******* All Required define Pre-Processors and typedef Constants *******/
#define SCD(t) scanf("%d",&t)
#define SCLD(t) scanf("%ld",&t)
#define SCLLD(t) scanf("%lld",&t)
#define SCC(t) scanf("%c",&t)
#define SCS(t) scanf("%s",t)
#define SCF(t) scanf("%f",&t)
#define SCLF(t) scanf("%lf",&t)
#define MEM(a, b) memset(a, (b), sizeof(a))
#define FOR(i, j, k, in) for (int i=j ; i<k ; i+=in)
#define RFOR(i, j, k, in) for (int i=j ; i>=k ; i-=in)
#define REP(i, j) FOR(i, 0, j, 1)
#define RREP(i, j) RFOR(i, j, 0, 1)
#define all(cont) cont.begin(), cont.end()
#define rall(cont) cont.end(), cont.begin()
#define FOREACH(it, l) for (auto it = l.begin(); it != l.end(); it++)
#define IN(A, B, C) assert( B <= A && A <= C)
#define MP make_pair
#define PB push_back
#define INF (int)1e9
#define EPS 1e-9
#define PI 3.1415926535897932384626433832795
#define MOD 1000000007
#define read(type) readInt<type>()
const double pi=acos(-1.0);
typedef pair<int, int> PII;
typedef vector<int> VI;
typedef vector<string> VS;
typedef vector<PII> VII;
typedef vector<VI> VVI;
typedef map<int,int> MPII;
typedef set<int> SETI;
typedef multiset<int> MSETI;
typedef long int int32;
typedef unsigned long int uint32;
typedef long long int int64;
typedef unsigned long long int uint64;
mt19937 rng32(chrono::steady_clock::now().time_since_epoch().count());
/****** Template of some basic operations *****/
template<typename T, typename U> inline void amin(T &x, U y) { if(y < x) x = y; }
template<typename T, typename U> inline void amax(T &x, U y) { if(x < y) x = y; }
/**********************************************/
using namespace std;
const int MAXN = (int)1e7;
const int LOGMAXN = 31;
int zero[MAXN],one[MAXN],leafValue[MAXN];
int nodeCount = 0;
int root[MAXN],currRoot=0;
map<int64,int> idToNodeNumber;
map<int64,int> idToEncryption;
map<int64,VI> adj;
int64 maxAns=0,minAns=0;
void printDFS(int i, int64 r);
int newNode(int lef, int rig) {
int p = ++nodeCount;
zero[p] = lef;
one[p] = rig;
return p;
}
int newLeaf(int val) {
int p = ++nodeCount;
zero[p]=one[p]=0;
leafValue[p] = val;
return p;
}
int countBits(int n)
{
int count = 0;
while (n)
{
count++;
n >>= 1;
}
return count;
}
void maxXOR(int trieIndex,int val,int valBitIndex,int appendZeroes){
if(appendZeroes>0){
if(one[trieIndex]!=0){ //want to go right
maxXOR(one[trieIndex],val,valBitIndex,appendZeroes-1);
maxAns += (int)pow(2,valBitIndex+appendZeroes-1);
}
else{
maxXOR(zero[trieIndex],val,valBitIndex,appendZeroes-1);
}
}
else{
if(valBitIndex==0)
return;
int bit = (1<<(valBitIndex-1))&val;
if(bit==0){//go right
if(one[trieIndex]!=0){ //want to go right
maxXOR(one[trieIndex],val,valBitIndex-1,appendZeroes);
maxAns += (int)pow(2,valBitIndex-1);
}
else{
maxXOR(zero[trieIndex],val,valBitIndex-1,appendZeroes);
}
}
else{//go left
if(zero[trieIndex]!=0) { //want to go left
maxXOR(zero[trieIndex],val,valBitIndex-1,appendZeroes);
maxAns += (int)pow(2,valBitIndex-1);
}
else{
maxXOR(one[trieIndex],val,valBitIndex-1,appendZeroes);
}
}
}
}
void minXOR(int trieIndex,int val,int valBitIndex,int appendZeroes){
if(appendZeroes>0){
if(zero[trieIndex]!=0){ //want to go left
minXOR(zero[trieIndex],val,valBitIndex,appendZeroes-1);
}
else{ //have to go right no choice left
minXOR(one[trieIndex],val,valBitIndex,appendZeroes-1);
minAns += (int)pow(2,valBitIndex+appendZeroes-1);
}
}
else{
if(valBitIndex==0)
return;
int bit = (1<<(valBitIndex-1))&val;
if(bit==0){//go left
if(zero[trieIndex]!=0){ //want to go left
minXOR(zero[trieIndex],val,valBitIndex-1,appendZeroes);
}
else{//have to go right no choice left
minXOR(one[trieIndex],val,valBitIndex-1,appendZeroes);
minAns += (int)pow(2,valBitIndex-1);
}
}
else{//go right
if(one[trieIndex]!=0) { //want to go right
minXOR(one[trieIndex],val,valBitIndex-1,appendZeroes);
}
else{//have to go left no choice left
minXOR(zero[trieIndex],val,valBitIndex-1,appendZeroes);
minAns += (int)pow(2,valBitIndex-1);
}
}
}
}
int insert(int prevPointer,int val,int valBitIndex,int appendZeroes){
if(appendZeroes>0){
return newNode(insert(zero[prevPointer],val,valBitIndex,appendZeroes-1),one[prevPointer]);
}
else{
if(valBitIndex==0)
return newLeaf(val);
int64 bit = (1<<(valBitIndex-1))&val;
if(bit==0){//go left
return newNode(insert(zero[prevPointer],val,valBitIndex-1,appendZeroes),
one[prevPointer]);
}
else{//go right
return newNode(zero[prevPointer],
insert(one[prevPointer],val,valBitIndex-1,appendZeroes));
}
}
}
void printTrie(int index){
cout<<"node number: "<<index<<"\n";
if(zero[index]==0 && one[index]==0) {
cout<<"leaf hit\n";
return;
}
cout<<"going left\n";
printTrie(zero[index]);
cout<<"going right\n";
printTrie(one[index]);
}
void dfs(int p,int u){
int v;
for (int i = 0; i < adj[u].size(); ++i) {
v = adj[u][i];
if(v!=p) {
int bitsCount = countBits(idToEncryption[v]);
//cout<<"current Node: "<<u<<" , parent node number = "<<idToNodeNumber[u]<<"\n";
int t = insert(idToNodeNumber[u],idToEncryption[v],bitsCount,LOGMAXN-bitsCount);
idToNodeNumber[v]=t;
dfs(u, v);
}
}
}
void printDFS(int p, int64 u) {
cout<<"NODE : "<<u<<"\n";
printTrie(idToNodeNumber[u]);
int v;
for (int i = 0; i < adj[u].size(); ++i) {
v = adj[u][i];
if(v!=p) {
printDFS(u, v);
}
}
}
int main()
{
MEM(zero,0);
MEM(one,0);
MEM(root,0);
#ifndef ONLINE_JUDGE
freopen("/Users/bhagirathi/Documents/CLionProjects/codeforces/debug/input.txt", "r", stdin);
freopen("/Users/bhagirathi/Documents/CLionProjects/codeforces/debug/output.txt", "w", stdout);
#endif
int n,q;
cin>>n>>q;
int64 r,key;
cin>>r>>key;
idToEncryption[r]=key;
int64 u,v,k;
for (int i = 0; i <n-1 ; ++i) {
cin>>u>>v>>k;
VI currNeighbours = adj[v];
currNeighbours.push_back(u);
adj[v] = currNeighbours;
idToEncryption[u]=k;
}
// for (auto it = adj.begin(); it != adj.end() ; it++) {
//
// cout<<" NODE: "<<it->first<<"\n";
// VI curr = it->second;
// for (int i = 0; i <curr.size() ; ++i) {
// cout<<curr[i]<<" ";
// }
// cout<<"\n";
//
// }
idToNodeNumber[0]=0;
int bitsCount = countBits(key);
int t = insert(0,key,bitsCount,LOGMAXN-bitsCount);
idToNodeNumber[r] = t;
dfs(0,r);
//printDFS(0,r);
int last_answer = 0;
for (int i = 0; i < q; i++)
{
cin >> t;
// find real value of t
t ^= last_answer;
if (t == 0)
{
cin >> v >> u >> k;
// find real values for u, v, and k
u ^= last_answer;
v ^= last_answer;
k ^= last_answer;
//insert
adj[v].push_back(u);
bitsCount = countBits(k);
idToEncryption[u]=k;
t = insert(idToNodeNumber[v],k,bitsCount,LOGMAXN-bitsCount);
idToNodeNumber[u] = t;
}
else
{
cin >> v >> k;
// find real values for v, and k
v ^= last_answer;
k ^= last_answer;
//cout<<"NODE NUMBER QUERY: "<<idToNodeNumber[v]<<"\n";
// compute the requested values
bitsCount = countBits(k);
minXOR(idToNodeNumber[v],k,bitsCount,LOGMAXN-bitsCount);
int min_answer = minAns;
minAns = 0;
maxXOR(idToNodeNumber[v],k,bitsCount,LOGMAXN-bitsCount);
int max_answer = maxAns;
maxAns =0;
cout<<min_answer<<" "<<max_answer<<"\n";
// update last_answer
last_answer = min_answer ^ max_answer;
}
}
return 0;
}
//
// Created by Bhagirathi on 2019-04-21.
//

#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <sstream>
#include <queue>
#include <deque>
#include <bitset>
#include <iterator>
#include <list>
#include <stack>
#include <map>
#include <set>
#include <functional>
#include <numeric>
#include <utility>
#include <limits>
#include <time.h>
#include <math.h>
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
#include <assert.h>
#include <algorithm>
#include <chrono>
#include <random>
#include <vector>
using namespace std;

/*******  All Required define Pre-Processors and typedef Constants *******/
#define SCD(t) scanf("%d",&t)
#define SCLD(t) scanf("%ld",&t)
#define SCLLD(t) scanf("%lld",&t)
#define SCC(t) scanf("%c",&t)
#define SCS(t) scanf("%s",t)
#define SCF(t) scanf("%f",&t)
#define SCLF(t) scanf("%lf",&t)
#define MEM(a, b) memset(a, (b), sizeof(a))
#define FOR(i, j, k, in) for (int i=j ; i<k ; i+=in)
#define RFOR(i, j, k, in) for (int i=j ; i>=k ; i-=in)
#define REP(i, j) FOR(i, 0, j, 1)
#define RREP(i, j) RFOR(i, j, 0, 1)
#define all(cont) cont.begin(), cont.end()
#define rall(cont) cont.end(), cont.begin()
#define FOREACH(it, l) for (auto it = l.begin(); it != l.end(); it++)
#define IN(A, B, C) assert( B <= A && A <= C)
#define MP make_pair
#define PB push_back
#define INF (int)1e9
#define EPS 1e-9
#define PI 3.1415926535897932384626433832795
#define MOD 1000000007
#define read(type) readInt<type>()
const double pi=acos(-1.0);
typedef pair<int, int> PII;
typedef vector<int> VI;
typedef vector<string> VS;
typedef vector<PII> VII;
typedef vector<VI> VVI;
typedef map<int,int> MPII;
typedef set<int> SETI;
typedef multiset<int> MSETI;
typedef long int int32;
typedef unsigned long int uint32;
typedef long long int int64;
typedef unsigned long long int  uint64;

mt19937 rng32(chrono::steady_clock::now().time_since_epoch().count());

/****** Template of some basic operations *****/
template<typename T, typename U> inline void amin(T &x, U y) { if(y < x) x = y; }
template<typename T, typename U> inline void amax(T &x, U y) { if(x < y) x = y; }
/**********************************************/

using namespace std;

const int MAXN = (int)1e7;
const int LOGMAXN = 31;

int zero[MAXN],one[MAXN],leafValue[MAXN];
int nodeCount = 0;
int root[MAXN],currRoot=0;
map<int64,int> idToNodeNumber;
map<int64,int> idToEncryption;
map<int64,VI> adj;

int64 maxAns=0,minAns=0;

void printDFS(int i, int64 r);

int newNode(int lef, int rig) {
    int p = ++nodeCount;
    zero[p] = lef;
    one[p] = rig;
    return p;
}

int newLeaf(int val) {
    int p = ++nodeCount;
    zero[p]=one[p]=0;
    leafValue[p] = val;
    return p;
}

int countBits(int n)
{
    int count = 0;
    while (n)
    {
        count++;
        n >>= 1;
    }
    return count;
}

void maxXOR(int trieIndex,int val,int valBitIndex,int appendZeroes){

    if(appendZeroes>0){
        if(one[trieIndex]!=0){ //want to go right
            maxXOR(one[trieIndex],val,valBitIndex,appendZeroes-1);
            maxAns += (int)pow(2,valBitIndex+appendZeroes-1);
        }
        else{
            maxXOR(zero[trieIndex],val,valBitIndex,appendZeroes-1);
        }
    }
    else{

        if(valBitIndex==0)
            return;

        int bit = (1<<(valBitIndex-1))&val;

        if(bit==0){//go right

            if(one[trieIndex]!=0){ //want to go right
                maxXOR(one[trieIndex],val,valBitIndex-1,appendZeroes);
                maxAns += (int)pow(2,valBitIndex-1);
            }
            else{
                maxXOR(zero[trieIndex],val,valBitIndex-1,appendZeroes);
            }

        }
        else{//go left
            if(zero[trieIndex]!=0) { //want to go left
                maxXOR(zero[trieIndex],val,valBitIndex-1,appendZeroes);
                maxAns += (int)pow(2,valBitIndex-1);
            }
            else{
                maxXOR(one[trieIndex],val,valBitIndex-1,appendZeroes);
            }
        }

    }

}

void minXOR(int trieIndex,int val,int valBitIndex,int appendZeroes){

    if(appendZeroes>0){
        if(zero[trieIndex]!=0){ //want to go left
            minXOR(zero[trieIndex],val,valBitIndex,appendZeroes-1);
        }
        else{ //have to go right no choice left
            minXOR(one[trieIndex],val,valBitIndex,appendZeroes-1);
            minAns += (int)pow(2,valBitIndex+appendZeroes-1);
        }
    }
    else{

        if(valBitIndex==0)
            return;

        int bit = (1<<(valBitIndex-1))&val;

        if(bit==0){//go left

            if(zero[trieIndex]!=0){ //want to go left
                minXOR(zero[trieIndex],val,valBitIndex-1,appendZeroes);

            }
            else{//have to go right no choice left
                minXOR(one[trieIndex],val,valBitIndex-1,appendZeroes);
                minAns += (int)pow(2,valBitIndex-1);
            }

        }
        else{//go right
            if(one[trieIndex]!=0) { //want to go right
                minXOR(one[trieIndex],val,valBitIndex-1,appendZeroes);
            }
            else{//have to go left no choice left
                minXOR(zero[trieIndex],val,valBitIndex-1,appendZeroes);
                minAns += (int)pow(2,valBitIndex-1);
            }
        }

    }

}

int insert(int prevPointer,int val,int valBitIndex,int appendZeroes){

    if(appendZeroes>0){
        return newNode(insert(zero[prevPointer],val,valBitIndex,appendZeroes-1),one[prevPointer]);
    }
    else{

        if(valBitIndex==0)
            return newLeaf(val);

        int64 bit = (1<<(valBitIndex-1))&val;

        if(bit==0){//go left
            return newNode(insert(zero[prevPointer],val,valBitIndex-1,appendZeroes),
                           one[prevPointer]);
        }
        else{//go right
            return newNode(zero[prevPointer],
                           insert(one[prevPointer],val,valBitIndex-1,appendZeroes));
        }

    }

}



void printTrie(int index){

    cout<<"node number: "<<index<<"\n";

    if(zero[index]==0 && one[index]==0) {
        cout<<"leaf hit\n";
        return;
    }

    cout<<"going left\n";
    printTrie(zero[index]);
    cout<<"going right\n";
    printTrie(one[index]);

}

void dfs(int p,int u){

    int v;
    for (int i = 0; i < adj[u].size(); ++i) {
        v = adj[u][i];
        if(v!=p) {
            int bitsCount = countBits(idToEncryption[v]);
            //cout<<"current Node: "<<u<<" , parent node number = "<<idToNodeNumber[u]<<"\n";
            int t = insert(idToNodeNumber[u],idToEncryption[v],bitsCount,LOGMAXN-bitsCount);
            idToNodeNumber[v]=t;
            dfs(u, v);
        }
    }

}


void printDFS(int p, int64 u) {

    cout<<"NODE : "<<u<<"\n";
    printTrie(idToNodeNumber[u]);
    int v;
    for (int i = 0; i < adj[u].size(); ++i) {
        v = adj[u][i];
        if(v!=p) {
            printDFS(u, v);
        }
    }
}


int main()
{

    MEM(zero,0);
    MEM(one,0);
    MEM(root,0);

#ifndef ONLINE_JUDGE
    freopen("/Users/bhagirathi/Documents/CLionProjects/codeforces/debug/input.txt", "r", stdin);
    freopen("/Users/bhagirathi/Documents/CLionProjects/codeforces/debug/output.txt", "w", stdout);
#endif

    int n,q;
    cin>>n>>q;

    int64 r,key;
    cin>>r>>key;

    idToEncryption[r]=key;

    int64 u,v,k;
    for (int i = 0; i <n-1 ; ++i) {

        cin>>u>>v>>k;

        VI currNeighbours = adj[v];
        currNeighbours.push_back(u);
        adj[v] = currNeighbours;

        idToEncryption[u]=k;
    }

//    for (auto it = adj.begin(); it != adj.end() ; it++) {
//
//        cout<<" NODE: "<<it->first<<"\n";
//        VI curr = it->second;
//        for (int i = 0; i <curr.size() ; ++i) {
//            cout<<curr[i]<<" ";
//        }
//        cout<<"\n";
//
//    }

    idToNodeNumber[0]=0;

    int bitsCount = countBits(key);
    int t = insert(0,key,bitsCount,LOGMAXN-bitsCount);
    idToNodeNumber[r] = t;

    dfs(0,r);

    //printDFS(0,r);

    int last_answer = 0;
    for (int i = 0; i < q; i++)
    {
        cin >> t;

        // find real value of t
        t ^= last_answer;

        if (t == 0)
        {
            cin >> v >> u >> k;

            // find real values for u, v, and k
            u ^= last_answer;
            v ^= last_answer;
            k ^= last_answer;

            //insert
            adj[v].push_back(u);
            bitsCount = countBits(k);
            idToEncryption[u]=k;
            t = insert(idToNodeNumber[v],k,bitsCount,LOGMAXN-bitsCount);
            idToNodeNumber[u] = t;

        }
        else
        {
            cin >> v >> k;

            // find real values for v, and k
            v ^= last_answer;
            k ^= last_answer;


            //cout<<"NODE NUMBER QUERY: "<<idToNodeNumber[v]<<"\n";

            // compute the requested values
            bitsCount = countBits(k);
            minXOR(idToNodeNumber[v],k,bitsCount,LOGMAXN-bitsCount);
            int min_answer = minAns;
            minAns = 0;
            maxXOR(idToNodeNumber[v],k,bitsCount,LOGMAXN-bitsCount);
            int max_answer = maxAns;
            maxAns =0;


            cout<<min_answer<<" "<<max_answer<<"\n";

            // update last_answer
            last_answer = min_answer ^ max_answer;
        }
    }

    return 0;
}

