#include <iostream>
#include <fstream>
#include <vector>
using namespace std;
class SegmentTree
{
public:
SegmentTree( const int n, const vector<int> &values )
{
N = n;
T = vector<int>( 4 * N );
build( 1, 0, N - 1, values );
}
void update( int pos, int value )
{
update( 1, 0, N - 1, pos, value );
}
int query( int st, int dr )
{
return query( 1, 0, N - 1, st, dr );
}
private:
vector <int> T;
int N;
void build( int node, int st, int dr, const vector<int> &values )
{
if ( st == dr )
{
T[node] = values[st];
}
else
{
int m = ( st + dr ) / 2;
build( 2 * node, st, m, values );
build( 2 * node + 1, m + 1, dr, values );
T[node] = max( T[2 * node], T[2 * node + 1] );
}
}
void update( int node, int st, int dr, int pos, int val )
{
if ( st == dr )
{
T[node] = val;
}
else
{
int m = ( st + dr ) / 2;
if ( pos <= m ) update( 2 * node, st, m, pos, val );
else update( 2 * node + 1, m + 1, dr, pos, val );
T[node] = max( T[2 * node], T[2 * node + 1] );
}
}
int query( int node, int st, int dr, int st_q, int dr_q )
{
if ( st_q <= st && dr <= dr_q )
{
return T[node];
}
else
{
int m = ( st + dr ) / 2;
int val = 0;
if ( st_q <= m )
val = max( val, query( 2 * node, st, m, st_q, dr_q ) );
if ( m < dr_q )
val = max( val, query( 2 * node + 1, m + 1, dr, st_q, dr_q ) );
return val;
}
}
};
const int Nmax = 1e5 + 2;
vector <SegmentTree> ST;
vector <int> G[Nmax];
int size[Nmax], path[Nmax], pos_in_path[Nmax], path_length[Nmax], start_node[Nmax];
int depth[Nmax], father[Nmax], valueNode[Nmax];
int N, nrPaths, Q;
void DFS( int node )
{
int heavySon = 0;
size[node] = 1;
for ( auto x: G[node] )
{
if ( father[x] == 0 )
{
depth[x] = depth[node] + 1;
father[x] = node;
DFS( x );
size[node] += size[x];
if ( size[x] > size[heavySon] )
heavySon = x;
}
}
if ( heavySon == 0 )
path[node] = nrPaths++;
else
path[node] = path[heavySon];
pos_in_path[node] = path_length[ path[node] ]++;
}
void build_heavy_path()
{
father[1] = 1;
depth[1] = 0;
DFS( 1 );
for ( int i = 1; i <= N; ++i )
{
pos_in_path[i] = path_length[ path[i] ] - pos_in_path[i] - 1;
if ( pos_in_path[i] == 0 )
start_node[ path[i] ] = i;
}
}
void build_segment_trees()
{
vector<vector<int>> pathValues = vector < vector<int> >( nrPaths );
for ( int i = 0; i < nrPaths; ++i )
pathValues[i] = vector<int>( path_length[i] );
for ( int i = 1; i <= N; ++i )
pathValues[ path[i] ][ pos_in_path[i] ] = valueNode[i];
for ( int i = 0; i < nrPaths; ++i )
ST.push_back( SegmentTree( pathValues[i].size(), pathValues[i] ) );
}
void update( int node, int value )
{
valueNode[node] = value;
ST[ path[node] ].update( pos_in_path[node], value );
}
int query( int x, int y )
{
if ( depth[ start_node[ path[x] ] ] < depth[ start_node[ path[y] ] ] )
swap( x, y );
if ( path[x] == path[y] )
return ST[ path[x] ].query( min( pos_in_path[x], pos_in_path[y] ), max( pos_in_path[x], pos_in_path[y] ) );
else
return max( ST[ path[x] ].query( 0, pos_in_path[x] ), query( father[ start_node[ path[x] ] ], y ) );
}
int main()
{
ifstream in("heavypath.in");
ofstream out("heavypath.out");
in.sync_with_stdio( false );
in >> N >> Q;
for ( int i = 1; i <= N; ++i )
in >> valueNode[i];
for ( int i = 1, a, b; i < N; ++i )
{
in >> a >> b;
G[a].push_back( b );
G[b].push_back( a );
}
build_heavy_path();
build_segment_trees();
for ( int i = 1, tip, a, b; i <= Q; ++i )
{
in >> tip >> a >> b;
if ( tip == 0 )
{
update( a, b );
}
else
{
out << query( a, b ) << "\n";
}
}
return 0;
}