#include <fstream>
#include <algorithm>
#include <vector>
using namespace std;
const int NMAX = 100002;
const int LOG = 18;
ifstream cin("heavypath.in");
ofstream cout("heavypath.out");
vector <vector <int>> adj;
struct noduri {
int val; ///val init pe care o are nodul, pt queryuri
int tata;
int depth;
short int weight; ///cate lanturi (inclusiv el)sunt sub el
int lant; ///in ce lant apartine
int pos; ///pozitia in vectorul sortat
}v[NMAX];
vector <int> l;///primul, cel mai de sus din lant
int topo[NMAX]; ///ord nodurilor dupa lanturi si depth
int up[NMAX][LOG + 1];
void dfs(int start) {
bool ok = 0;
for(auto nod : adj[start]) {
if(nod == v[start].tata)
continue;
v[nod].tata = start;
v[nod].depth = v[start].depth + 1;
up[nod][0] = start; ///binary liftingul
for(int j = 1; j < LOG; j++)
up[nod][j] = up[up[nod][j - 1]][j - 1];
dfs(nod);
ok = 1;
}
if(!ok) { ///frunza, init un lant
l.push_back(start);
v[start].lant = l.size() - 1;
v[start].weight = 1; ///ca are doar un lant
return;
}
int maxx = 0, cnt = 0;
for(auto nod : adj[start]) { ///gasim copilul cu nr de lanturi maxim
if(nod == v[start].tata)
continue;
if(v[nod].weight > maxx) {
maxx = v[nod].weight;
cnt = 1;
}
else if(v[nod].weight == maxx)
cnt++;
}
///noi ne unim cu copilul respectiv, dar oricum cautam
///nrmax de lanturi de sub el (de pe o ramura), deci:
///- dc sunt mai multe maxuri, o sa fie maxx + 1
///- dc e doar un max, adunci e max(maxx, urm cel mai mare + 1),
///deci tot max
if(cnt > 1)
v[start].weight = maxx + 1;
else
v[start].weight = maxx;
for(auto nod : adj[start]) { ///ne unim cu un lant
if(nod == v[start].tata)
continue;
if(v[nod].weight == maxx) {
v[start].lant = v[nod].lant;
l[v[start].lant] = start; ///updatam si in lant
break;
}
}
}
bool cmp(int a, int b) { ///pt sortarea topo
if(v[a].lant != v[b].lant)
return v[a].lant < v[b].lant;
return v[a].depth < v[b].depth;
}
int LCA(int a, int b) {
if(v[a].depth < v[b].depth)
swap(a, b);
int k = v[a].depth - v[b].depth;
for(int j = LOG - 1; j >= 0; j--) {
if(k & (1 << j))
a = up[a][j];
}
if(a == b)
return a;
for(int j = LOG - 1; j >= 0; j--) {
if(up[a][j] != up[b][j]) {
a = up[a][j];
b = up[b][j];
}
}
return up[a][0];
}
int aint[4 * NMAX];
void build(int nod, int st, int dr) {
if(st == dr) {
aint[nod] = v[topo[st]].val;
return;
}
int mid = (st + dr) / 2;
build(2 * nod, st, mid);
build(2 * nod + 1, mid + 1, dr);
aint[nod] = max(aint[2 * nod], aint[2 * nod + 1]);
}
void update(int nod, int st, int dr, int pos, int val) {
if(st == dr) {
aint[nod] = val;
return;
}
int mid = (st + dr) / 2;
if(pos <= mid)
update(2 * nod, st, mid, pos, val);
else
update(2 * nod + 1, mid + 1, dr, pos, val);
aint[nod] = max(aint[2 * nod], aint[2 * nod + 1]);
}
int query(int nod, int st, int dr, int pos1, int pos2) {
if(st == pos1 && dr == pos2)
return aint[nod];
int ans = -1;
int mid = (st + dr) / 2;
if(pos1 <= mid)
ans = query(2 * nod, st, mid, pos1, min(mid, pos2));
if(mid < pos2)
ans = max(ans, query(2 * nod + 1, mid + 1, dr, max(mid + 1, pos1), pos2));
return ans;
}
int n;
int solvepath(int a, int b) { ///a-ul e ala de mai JOS
//cout << "parti " << a << " " << b << '\n';
if(v[a].lant == v[b].lant) ///super tare, query pe aint
return query(1, 1, n, v[b].pos, v[a].pos);
int ans = query(1, 1, n, v[l[v[a].lant]].pos, v[a].pos);
a = v[l[v[a].lant]].tata;
ans = max(ans, solvepath(a, b));
return ans;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int m;
cin >> n >> m;
for(int i = 1; i <= n; i++)
cin >> v[i].val;
adj.resize(n + 1);
for(int i = 1; i < n; i++) {
int a, b;
cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
v[1].tata = 0;
dfs(1);
adj.clear();
for(int i = 1; i <= n; i++)
topo[i] = i;
sort(topo + 1, topo + n + 1, cmp);
for(int i = 1; i <= n; i++) { ///updatam pt fiec pozitia noua din sir
v[topo[i]].pos = i;
//cout << topo[i] << " ";
}
build(1, 1, n);
/*for(int i = 1; i <= n; i++)
for(int j = i; j <= n; j++)
cout << i << " " << j << " " << query(1, 1, n, i, j) << '\n';*/
/*for(int i = 1; i <= n; i++) {
for(int j = 0; j < LOG; j++)
cout << up[i][j] << " ";
cout << '\n';
}*/
while(m--) {
int tip, x, y;
cin >> tip >> x >> y;
if(tip == 0) ///update --> v[x].val = y
update(1, 1, n, v[x].pos, y);
else { ///query pe lantul (x, y)
int lca = LCA(x, y);
//cout << lca << '\n';
int ans = 0;
if(lca == x || lca == y) {
if(x == lca)
swap(x, y);
ans = solvepath(x, y);
}
else
ans = max(solvepath(x, lca), solvepath(y, lca));
cout << ans << '\n';
}
}
/*cout << '\n';
for(int i = 1; i <= n; i++)
cout << i << " " << v[i].weight << " " << v[i].lant << '\n';
cout << '\n';
for(int i = 0; i < l.size(); i++)
cout << i << " " << l[i].first << " " << l[i].last << '\n';*/
return 0;
}