#pragma region Macros #pragma GCC optimize("O3") #include #define ll long long #define ld long double #define rep2(i,a,b) for(ll i=a;i<=b;++i) #define rep(i,n) for(ll i=0;i=b;i--) #define pii pair #define pll pair #define pq priority_queue #define pb push_back #define eb emplace_back #define vec vector #define vecll vector #define vecpii vector #define vecpll vector #define vec2(a,b) vector(a,vec(b)) #define vec2ll(a,b) vector(a,vecll(b)) #define vec2ll(a,b,c) vector(a,vecll(b,c)) #define vec3(a,b,c) vector>(a,vec2(b,c)) #define vec3ll(a,b,c) vector>(a,vec2ll(b,c)) #define fi first #define se second #define all(c) begin(c),end(c) #define ios ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0); #define lb(c,x) distance(c.begin(),lower_bound(all(c),(x))) #define ub(c,x) distance(c.begin(),upper_bound(all(c),(x))) using namespace std; int in() {int x;cin>>x;return x;} ll lin() {ll x;cin>>x;return x;} string stin() {string s;cin>>s;return s;} template inline bool chmax(T& a,T b){if(a inline bool chmin(T& a,T b){if(a>b){a=b;return 1;}return 0;} vec iota(int n){vec a(n);iota(all(a),0);return a;} void print(){putchar(' ');} void print(bool a){cout< void print(const vector&); template void print(const array&); template void print(const pair& p); template void print(const T (&)[size]); template void print(const vector& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ cout<<" "; print(*i); } cout< void print(const deque& a){ if(a.empty()) return; print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ cout<<" "; print(*i); } } template void print(const array& a){ print(a[0]); for(auto i = a.begin(); ++i != a.end(); ){ cout<<" "; print(*i); } } template void print(const pair& p){ cout<<'(';print(p.first); cout<<","; print(p.second);cout<<')'; } template void print(const T (&a)[size]){ print(a[0]); for(auto i = a; ++i != end(a); ){ cout<<" "; print(*i); } } template void print(const T& a){ cout << a; } int out(){ putchar('\n'); return 0; } template int out(const T& t){ print(t); putchar('\n'); return 0; } template int out(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); return 0; } ll gcd(ll a, ll b){ while(b){ ll c = b; b = a % b; a = c; } return a; } ll lcm(ll a, ll b){ if(!a || !b) return 0; return a * b / gcd(a, b); } #define _GLIBCXX_DEBU #define endl '\n' #ifdef _MY_DEBUG #undef endl #define debug(x) cout<<#x<<": "< void err(const T& t){ print(t); cout<<" ";} template void err(const Head& head, const Tail&... tail){ print(head); putchar(' '); out(tail...); } #else #define debug(x) template void err(const T&...){} #endif #pragma endregion template< typename G > struct DoublingLowestCommonAncestor { const int LOG; vector< int > dep; const G &g; vector< vector< int > > table; DoublingLowestCommonAncestor(const G &_g) : g(_g), dep(_g.size()), LOG(32 - __builtin_clz(_g.size())) { table.assign(LOG, vector< int >(_g.size(), -1)); } void dfs(int idx, int par, int d) { table[0][idx] = par; dep[idx] = d; for(auto &to : g[idx]) { if(to != par) dfs(to, idx, d + 1); } } void build() { dfs(0, -1, 0); for(int k = 0; k + 1 < LOG; k++) { for(int i = 0; i < table[k].size(); i++) { if(table[k][i] == -1) table[k + 1][i] = -1; else table[k + 1][i] = table[k][table[k][i]]; } } } int query(int u, int v) { if(dep[u] > dep[v]) swap(u, v); for(int i = LOG - 1; i >= 0; i--) { if(((dep[v] - dep[u]) >> i) & 1) v = table[i][v]; } if(u == v) return u; for(int i = LOG - 1; i >= 0; i--) { if(table[i][u] != table[i][v]) { u = table[i][u]; v = table[i][v]; } } return table[0][u]; } }; template< typename Monoid > struct SegmentTree { using F = function< Monoid(Monoid, Monoid) >; int sz; vector< Monoid > seg; const F f; const Monoid M1; SegmentTree(int n, const F _f, const Monoid &_M1) : f(_f), M1(_M1) { sz = 1; while(sz < n) sz <<= 1; seg.assign(2 * sz, M1); } void set(int k, const Monoid &x) { seg[k + sz] = x; } void build() { for(int k = sz - 1; k > 0; k--) { seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]); } } void update(int k, const Monoid &x) { k += sz; seg[k] = x; while(k >>= 1) { seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]); } } Monoid query(int a, int b) { Monoid L = M1, R = M1; for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) { if(a & 1) L = f(L, seg[a++]); if(b & 1) R = f(seg[--b], R); } return f(L, R); } Monoid operator[](const int &k) const { return seg[k + sz]; } template< typename C > int find_subtree(int a, const C &check, Monoid &M, bool type) { while(a < sz) { Monoid nxt = type ? f(seg[2 * a + type], M) : f(M, seg[2 * a + type]); if(check(nxt)) a = 2 * a + type; else M = nxt, a = 2 * a + 1 - type; } return a - sz; } template< typename C > int find_first(int a, const C &check) { Monoid L = M1; if(a <= 0) { if(check(f(L, seg[1]))) return find_subtree(1, check, L, false); return -1; } int b = sz; for(a += sz, b += sz; a < b; a >>= 1, b >>= 1) { if(a & 1) { Monoid nxt = f(L, seg[a]); if(check(nxt)) return find_subtree(a, check, L, false); L = nxt; ++a; } } return -1; } template< typename C > int find_last(int b, const C &check) { Monoid R = M1; if(b >= sz) { if(check(f(seg[1], R))) return find_subtree(1, check, R, true); return -1; } int a = sz; for(b += sz; a < b; a >>= 1, b >>= 1) { if(b & 1) { Monoid nxt = f(seg[--b], R); if(check(nxt)) return find_subtree(b, check, R, true); R = nxt; } } return -1; } }; constexpr int N = 300010; //それ、オーバーフローしない?!?! constexpr ll INF = 1e16; signed main(){ ios_base::sync_with_stdio(0),cin.tie(0),cout.tie(0);cout< g(n); rep(i,n-1){ int x=in()-1,y=in()-1; g[y].pb(x); } DoublingLowestCommonAncestor> lca(g); lca.build(); SegmentTree seg(k,[&](int x,int y){if(x==-1)return y;if(y==-1)return x;return lca.query(x,y);},-1); rep(i,k)seg.set(i,a[i]); seg.build(); auto dfs=[&](auto &f,int x,int t)->void{ chmax(c[x],t); for(auto e:g[x]) f(f,e,c[x]); }; dfs(dfs,0,0); while(q--){ int id=in(); if(id==1){ int x=in()-1,y=in()-1; seg.update(x,y); } else{ int l=in()-1,r=in(); cout << c[seg.query(l,r)] << endl; } } }