#include <bits/stdc++.h>
using namespace std;
class SegmentTree
{
private:
vector<int> tree;
int N;
void build(int node, int l, int r, const vector<int> &values)
{
if (l == r)
tree[node] = values[l];
else
{
int m = (l + r) / 2;
build(2 * node, l, m, values);
build(2 * node + 1, m + 1, r, values);
tree[node] = max(tree[2 * node], tree[2 * node + 1]);
}
}
void update(int node, int l, int r, int pos, int key)
{
if (l == r)
tree[node] = key;
else
{
int m = (l + r) / 2;
if (pos <= m)
update(2 * node, l, m, pos, key);
else
update(2 * node + 1, m + 1, r, pos, key);
tree[node] = max(tree[2 * node], tree[2 * node + 1]);
}
}
int query(int node, int l, int r, int st_q, int dr_q)
{
if (st_q <= l && r <= dr_q)
return tree[node];
else
{
int m = (l + r) / 2;
int answer = numeric_limits<int>::min();
if (st_q <= m)
answer = max(answer, query(2 * node, l, m, st_q, dr_q));
if (m < dr_q)
answer = max(answer, query(2 * node + 1, m + 1, r, st_q, dr_q));
return answer;
}
}
public:
SegmentTree(const vector<int>& values){
N = values.size();
tree.resize(4 * N);
build(1, 0, N - 1, values);
}
void update(int pos, int key)
{
update(1, 0, N - 1, pos, key);
}
int query(int x, int y)
{
return query(1, 0, N - 1, x, y);
}
};
constexpr int MAX_N = 100000 + 1;
vector<int> G[MAX_N];
int keys[MAX_N];
int depth[MAX_N], father[MAX_N], subTree[MAX_N];
int path[MAX_N], lengthPath[MAX_N], posInPath[MAX_N], startNode[MAX_N];
vector<SegmentTree> ST;
int N, Q;
int numberOfPaths;
void dfs(int node)
{
int hson = 0;
subTree[node] = 1;
for (int v : G[node])
{
if (father[v] == 0)
{
father[v] = node;
depth[v] = depth[node] + 1;
dfs(v);
subTree[node] += subTree[v];
if (subTree[v] > subTree[hson])
hson = v;
}
}
if (hson == 0)
path[node] = numberOfPaths++;
else
path[node] = path[hson];
posInPath[node] = lengthPath[ path[node] ]++;
}
void buildHPD()
{
father[1] = 1;
depth[1] = 0;
dfs(1);
for (int i = 1; i <= N; ++i)
{
posInPath[i] = lengthPath[ path[i] ] - posInPath[i] - 1;
if (posInPath[i] == 0)
startNode[ path[i] ] = i;
}
}
void buildSegmentTrees()
{
vector<vector<int>> pathValues(numberOfPaths);
for (int i = 0; i < numberOfPaths; ++i)
pathValues[i].resize(lengthPath[i]);
for (int i = 1; i <= N; ++i)
pathValues[ path[i] ][ posInPath[i] ] = keys[i];
for (int i = 0; i < numberOfPaths; ++i)
ST.push_back(SegmentTree(pathValues[i]));
}
void updateNode(int node, int newKey)
{
ST[ path[node] ].update(posInPath[node], newKey);
}
int query(int x, int y)
{
if (depth[ startNode[ path[x] ] ] < depth[ startNode[ path[y] ] ])
swap(x, y);
if (path[x] == path[y])
return ST[ path[x] ].query(min(posInPath[x], posInPath[y]), max(posInPath[x], posInPath[y]));
else
return max(ST[path[x]].query(0, posInPath[x]), query(father[ startNode[ path[x] ] ], y));
}
int main()
{
ifstream in("heavypath.in");
ofstream out("heavypath.out");
in >> N >> Q;
for (int i = 1; i <= N; ++i)
in >> keys[i];
for (int i = 0; i < N - 1; ++i)
{
int a, b;
in >> a >> b;
G[a].push_back(b);
G[b].push_back(a);
}
buildHPD();
buildSegmentTrees();
while (Q--)
{
int t, x, k;
in >> t >> x >> k;
if (t == 0)
updateNode(x, k);
else
out << query(x, k) << "\n";
}
return 0;
}