結果
| 問題 |
No.1030 だんしんぐぱーりない
|
| コンテスト | |
| ユーザー |
 ningenMe
|
| 提出日時 | 2020-04-17 23:42:16 |
| 言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 15,798 bytes |
| コンパイル時間 | 2,627 ms |
| コンパイル使用メモリ | 200,808 KB |
| 実行使用メモリ | 29,012 KB |
| 最終ジャッジ日時 | 2024-10-03 15:35:58 |
| 合計ジャッジ時間 | 7,367 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge2 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | -- * 2 |
| other | AC * 5 TLE * 1 -- * 34 |
ソースコード
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define ALL(obj) (obj).begin(),(obj).end()
#define SPEED cin.tie(0);ios::sync_with_stdio(false);
template<class T> using PQ = priority_queue<T>;
template<class T> using PQR = priority_queue<T,vector<T>,greater<T>>;
constexpr long long MOD = (long long)1e9 + 7;
constexpr long long MOD2 = 998244353;
constexpr long long HIGHINF = (long long)1e18;
constexpr long long LOWINF = (long long)1e15;
constexpr long double PI = 3.1415926535897932384626433L;
template <class T> vector<T> multivector(size_t N,T init){return vector<T>(N,init);}
template <class... T> auto multivector(size_t N,T... t){return vector<decltype(multivector(t...))>(N,multivector(t...));}
template <class T> void corner(bool flg, T hoge) {if (flg) {cout << hoge << endl; exit(0);}}
template <class T, class U>ostream &operator<<(ostream &o, const map<T, U>&obj) {o << "{"; for (auto &x : obj) o << " {" << x.first << " : " << x.second << "}" << ","; o << " }"; return o;}
template <class T>ostream &operator<<(ostream &o, const set<T>&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
template <class T>ostream &operator<<(ostream &o, const multiset<T>&obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr) o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
template <class T>ostream &operator<<(ostream &o, const vector<T>&obj) {o << "{"; for (int i = 0; i < (int)obj.size(); ++i)o << (i > 0 ? ", " : "") << obj[i]; o << "}"; return o;}
template <class T, class U>ostream &operator<<(ostream &o, const pair<T, U>&obj) {o << "{" << obj.first << ", " << obj.second << "}"; return o;}
template <template <class tmp> class T, class U> ostream &operator<<(ostream &o, const T<U> &obj) {o << "{"; for (auto itr = obj.begin(); itr != obj.end(); ++itr)o << (itr != obj.begin() ? ", " : "") << *itr; o << "}"; return o;}
void print(void) {cout << endl;}
template <class Head> void print(Head&& head) {cout << head;print();}
template <class Head, class... Tail> void print(Head&& head, Tail&&... tail) {cout << head << " ";print(forward<Tail>(tail)...);}
template <class T> void chmax(T& a, const T b){a=max(a,b);}
template <class T> void chmin(T& a, const T b){a=min(a,b);}
void YN(bool flg) {cout << (flg ? "YES" : "NO") << endl;}
void Yn(bool flg) {cout << (flg ? "Yes" : "No") << endl;}
void yn(bool flg) {cout << (flg ? "yes" : "no") << endl;}
template<class Operator> class Tree {
Operator Op;
using typeDist = decltype(Op.unitDist);
size_t num;
size_t ord;
public:
vector<vector<pair<size_t,typeDist>>> edge;
vector<size_t> depth;
vector<size_t> order;
vector<size_t> reorder;
vector<typeDist> dist;
vector<pair<size_t,typeDist>> parent;
vector<vector<pair<size_t,typeDist>>> child;
vector<array<pair<size_t,typeDist>,Operator::bit>> ancestor;
vector<size_t> size;
vector<vector<size_t>> descendant;
vector<size_t> head;
vector<size_t> hldorder;
vector<size_t> eulertour;
vector<pair<size_t,size_t>> eulertourrange;
Tree(const int num):num(num),edge(num),depth(num,-1),order(num),dist(num){}
//O(1) anytime
void makeEdge(const int& from, const int& to, const typeDist w = 1) {
edge[from].push_back({to,w});
}
//O(N) anytime
void makeDepth(const int root) {
depth[root] = 0;
dist[root] = Op.unitDist;
ord = 0;
dfs1(root);
order[ord++] = root;
reverse_copy(order.begin(),order.end(),back_inserter(reorder));
}
//O(N) anytime
void makeDepth(void) {
ord = 0;
for(size_t root = 0; root < num; ++root) {
if(depth[root] != -1) continue;
depth[root] = 0;
dist[root] = Op.unitDist;
dfs1(root);
order[ord++] = root;
}
reverse_copy(order.begin(),order.end(),back_inserter(reorder));
}
//for makeDepth
void dfs1(int curr, int prev = -1){
for(auto& e:edge[curr]){
int next = e.first;
if(next==prev) continue;
depth[next] = depth[curr] + 1;
dist[next] = Op.funcDist(dist[curr],e.second);
dfs1(next,curr);
order[ord++] = next;
}
}
//O(N) after makeDepth
void makeParent(void) {
parent.resize(num,make_pair(num,Op.unitDist));
for (size_t i = 0; i < num; ++i) for (auto& e : edge[i]) if (depth[i] > depth[e.first]) parent[i] = e;
}
//O(N) after makeDepth
void makeChild(void) {
child.resize(num);
for (size_t i = 0; i < num; ++i) for (auto& e : edge[i]) if (depth[i] < depth[e.first]) child[i].push_back(e);
}
//O(NlogN) after makeDepth and makeParent
void makeAncestor(void) {
ancestor.resize(num);
for (size_t i = 0; i < num; ++i) ancestor[i][0] = (parent[i].first!=num?parent[i]:make_pair(i,Op.unitLca));
for (size_t j = 1; j < Operator::bit; ++j) {
for (size_t i = 0; i < num; ++i) {
size_t k = ancestor[i][j - 1].first;
ancestor[i][j] = Op.funcLca(ancestor[k][j - 1],ancestor[i][j - 1]);
}
}
}
//O(logN) after makeAncestor
//return {lca,lca_dist} l and r must be connected
pair<size_t,typeDist> lca(size_t l, size_t r) {
if (depth[l] < depth[r]) swap(l, r);
int diff = depth[l] - depth[r];
auto ancl = make_pair(l,Op.unitLca);
auto ancr = make_pair(r,Op.unitLca);
for (int j = 0; j < Operator::bit; ++j) {
if (diff & (1 << j)) {
ancl = Op.funcLca(ancestor[ancl.first][j],ancl);
}
}
if(ancl.first==ancr.first) return ancl;
for (int j = Operator::bit - 1; 0 <= j; --j) {
if(ancestor[ancl.first][j].first!=ancestor[ancr.first][j].first) {
ancl = Op.funcLca(ancestor[ancl.first][j],ancl);
ancr = Op.funcLca(ancestor[ancr.first][j],ancr);
}
}
ancl = Op.funcLca(ancestor[ancl.first][0],ancl);
ancr = Op.funcLca(ancestor[ancr.first][0],ancr);
return Op.funcLca(ancl,ancr);
}
//O(N) anytime
int diameter(void){
makeDepth(0);
int tmp = max_element(depth.begin(), depth.end()) - depth.begin();
makeDepth(tmp);
return *max_element(depth.begin(), depth.end());
}
//O(N^2) after makeDepth (include self)
void makeDescendant(void) {
descendant.resize(num);
for (size_t i = 0; i < num; ++i) descendant[i].push_back(i);
for (size_t i = 0; i < num; ++i) for (auto& e : edge[order[i]]) if (depth[order[i]] < depth[e.first]) for(auto k: descendant[e.first]) descendant[order[i]].push_back(k);
}
//O(N) after makeChild
void makeSize(void) {
size.resize(num,1);
for (size_t i:order) for (auto e : child[i]) size[i] += size[e.first];
}
//(N) after makeDepth and makeChild
template<class typeReroot> vector<typeReroot> rerooting(vector<typeReroot> rerootdp,vector<typeReroot> rerootparent) {
for(size_t pa:order) for(auto& e:child[pa]) rerootdp[pa] = Op.funcReroot(rerootdp[pa],rerootdp[e.first]);
for(size_t pa:reorder) {
if(depth[pa]) rerootdp[pa] = Op.funcReroot(rerootdp[pa],rerootparent[pa]);
size_t m = child[pa].size();
for(int j = 0; j < m && depth[pa]; ++j){
size_t ch = child[pa][j].first;
rerootparent[ch] = Op.funcReroot(rerootparent[ch],rerootparent[pa]);
}
if(m <= 1) continue;
vector<typeReroot> l(m),r(m);
for(int j = 0; j < m; ++j) {
size_t ch = child[pa][j].first;
l[j] = rerootdp[ch];
r[j] = rerootdp[ch];
}
for(int j = 1; j+1 < m; ++j) l[j] = Op.funcRerootMerge(l[j],l[j-1]);
for(int j = m-2; 0 <=j; --j) r[j] = Op.funcRerootMerge(r[j],r[j+1]);
size_t chl = child[pa].front().first;
size_t chr = child[pa].back().first;
rerootparent[chl] = Op.funcReroot(rerootparent[chl],r[1]);
rerootparent[chr] = Op.funcReroot(rerootparent[chr],l[m-2]);
for(int j = 1; j+1 < m; ++j) {
size_t ch = child[pa][j].first;
rerootparent[ch] = Op.funcReroot(rerootparent[ch],l[j-1]);
rerootparent[ch] = Op.funcReroot(rerootparent[ch],r[j+1]);
}
}
return rerootdp;
}
//O(N) after makeDepth,makeParent,makeChild
void heavyLightDecomposition(){
head.resize(num);
hldorder.resize(num);
iota(head.begin(),head.end(),0);
for(size_t& pa:reorder) {
pair<size_t,size_t> maxi = {0,num};
for(auto& e:child[pa]) maxi = max(maxi,{size[e.first],e.first});
if(maxi.first) head[maxi.second] = head[pa];
}
stack<size_t> st_head,st_sub;
size_t cnt = 0;
for(size_t& root:reorder){
if(depth[root]) continue;
st_head.push(root);
while(st_head.size()){
size_t h = st_head.top();
st_head.pop();
st_sub.push(h);
while (st_sub.size()){
size_t pa = st_sub.top();
st_sub.pop();
hldorder[pa] = cnt++;
for(auto& e:child[pa]) {
if(head[e.first]==head[pa]) st_sub.push(e.first);
else st_head.push(e.first);
}
}
}
}
}
//after hld type 0: vertex, 1: edge
vector<pair<size_t,size_t>> path(size_t u,size_t v,int type = 0) {
vector<pair<size_t,size_t>> path;
while(1){
if(hldorder[u]>hldorder[v]) swap(u,v);
if(head[u]!=head[v]) {
path.push_back({hldorder[head[v]],hldorder[v]});
v=parent[head[v]].first;
}
else {
path.push_back({hldorder[u],hldorder[v]});
break;
}
}
reverse(path.begin(),path.end());
if(type) path.front().first++;
return path;
}
size_t hldLca(size_t u,size_t v){
while(1){
if(hldorder[u]>hldorder[v]) swap(u,v);
if(head[u]==head[v]) return u;
v=parent[head[v]].first;
}
}
//O(N) after makeChild and makeParent
void makeEulerTour(void){
dfs2(reorder.front());
eulertourrange.resize(num);
for(int i = 0; i < eulertour.size(); ++i) eulertourrange[eulertour[i]].second = i;
for(int i = eulertour.size()-1; 0 <= i; --i) eulertourrange[eulertour[i]].first = i;
return;
}
//for makeEulerTour
void dfs2(int from, int prev = -1){
eulertour.push_back(from);
for(auto& e:child[from]){
int to = e.first;
dfs2(to,from);
eulertour.push_back(from);
}
}
};
//depth,dist
//https://atcoder.jp/contests/abc126/tasks/abc126_d
//child
//https://atcoder.jp/contests/abc133/tasks/abc133_e
//lca
//https://atcoder.jp/contests/abc014/tasks/abc014_4
//weighted lca
//https://atcoder.jp/contests/code-thanks-festival-2017-open/tasks/code_thanks_festival_2017_h
//https://atcoder.jp/contests/cf16-tournament-round1-open/tasks/asaporo_c
//diameter
//https://atcoder.jp/contests/agc033/tasks/agc033_c
//descendant
//https://atcoder.jp/contests/code-thanks-festival-2018/tasks/code_thanks_festival_2018_f
//rerooting
//https://yukicoder.me/problems/no/922
//size
//https://yukicoder.me/problems/no/872
//eulerTour
//https://yukicoder.me/problems/no/900
//hld
//https://yukicoder.me/problems/no/399
//https://yukicoder.me/problems/no/650
template<class typeDist> struct treeOperator{
static const size_t bit = 20;
typeDist unitDist = 0;
typeDist unitLca = 0;
typeDist funcDist(const typeDist& parent,const typeDist& w){return max(parent,w);}
pair<size_t,typeDist> funcLca(const pair<size_t,typeDist>& l,const pair<size_t,typeDist>& r){return make_pair(l.first,l.second+r.second);}
template<class typeReroot> typeReroot funcReroot(const typeReroot& l,const typeReroot& r) {
return {l.first+r.first+r.second,l.second+r.second};
}
template<class typeReroot> typeReroot funcRerootMerge(const typeReroot& l,const typeReroot& r) {
return {l.first+r.first,l.second+r.second};
}
};
Tree<treeOperator<ll>> tree(100000);
template<class Operator> class SegmentTree {
Operator Op;
using typeNode = decltype(Op.unitNode);
size_t length;
size_t num;
vector<typeNode> node;
vector<pair<size_t,size_t>> range;
public:
//unitで初期化
SegmentTree(const size_t num): num(num) {
for (length = 1; length < num; length *= 2);
node.resize(2 * length, Op.unitNode);
range.resize(2 * length);
for (int i = 0; i < length; ++i) range[i+length] = make_pair(i,i+1);
for (int i = length - 1; i >= 0; --i) range[i] = make_pair(range[(i<<1)+0].first,range[(i<<1)+1].second);
}
//vectorで初期化
SegmentTree(const vector<typeNode> & vec) : num(vec.size()) {
for (length = 1; length < vec.size(); length *= 2);
node.resize(2 * length, Op.unitNode);
for (int i = 0; i < vec.size(); ++i) node[i + length] = vec[i];
for (int i = length - 1; i >= 0; --i) node[i] = Op.funcNode(node[(i<<1)+0],node[(i<<1)+1]);
range.resize(2 * length);
for (int i = 0; i < length; ++i) range[i+length] = make_pair(i,i+1);
for (int i = length - 1; i >= 0; --i) range[i] = make_pair(range[(i<<1)+0].first,range[(i<<1)+1].second);
}
//同じinitで初期化
SegmentTree(const size_t num, const typeNode init) : num(num) {
for (length = 1; length < num; length *= 2);
node.resize(2 * length, init);
range.resize(2 * length);
for (int i = 0; i < length; ++i) range[i+length] = make_pair(i,i+1);
for (int i = length - 1; i >= 0; --i) range[i] = make_pair(range[(i<<1)+0].first,range[(i<<1)+1].second);
}
//[idx,idx+1)
void update(size_t idx, const typeNode var) {
if(idx < 0 || length <= idx) return;
idx += length;
node[idx] = Op.funcMerge(node[idx],var);
while(idx >>= 1) node[idx] = Op.funcNode(node[(idx<<1)+0],node[(idx<<1)+1]);
}
//[l,r)
typeNode get(int l, int r) {
if (l < 0 || length <= l || r < 0 || length < r) return Op.unitNode;
typeNode vl = Op.unitNode, vr = Op.unitNode;
for(l += length, r += length; l < r; l >>=1, r >>=1) {
if(l&1) vl = Op.funcNode(vl,node[l++]);
if(r&1) vr = Op.funcNode(node[--r],vr);
}
return Op.funcNode(vl,vr);
}
//return [0,length]
int PrefixBinarySearch(typeNode var) {
if(!Op.funcCheck(node[1],var)) return num;
typeNode ret = Op.unitNode;
size_t idx = 2;
for(; idx < 2*length; idx<<=1){
if(!Op.funcCheck(Op.funcNode(ret,node[idx]),var)) {
ret = Op.funcNode(ret,node[idx]);
idx++;
}
}
return min((idx>>1) - length,num);
}
//range[l,r) return [l,r]
int BinarySearch(size_t l, size_t r, typeNode var) {
if (l < 0 || length <= l || r < 0 || length < r) return -1;
typeNode ret = Op.unitNode;
size_t off = l;
for(size_t idx = l+length; idx < 2*length && off < r; ){
if(range[idx].second<=r && !Op.funcCheck(Op.funcNode(ret,node[idx]),var)) {
ret = Op.funcNode(ret,node[idx]);
off = range[idx++].second;
if(!(idx&1)) idx >>= 1;
}
else{
idx <<=1;
}
}
return off;
}
void print(){
cout << "{ " << get(0,1);
for(int i = 1; i < length; ++i) cout << ", " << get(i,i+1);
cout << " }" << endl;
// for(int i = 1,j = 1; i < 2*length; ++i) {
// cout << node[i] << " ";
// if(i==((1<<j)-1) && ++j) cout << endl;
// }
}
};
//一点更新 区間GCD
template<class typeNode> struct nodeLCAPointUpdate {
typeNode unitNode = -1;
typeNode funcNode(typeNode l,typeNode r){
if(l==-1) return r;
else if(r == -1) return l;
else return tree.hldLca(l,r);
}
typeNode funcMerge(typeNode l,typeNode r){return r;}
// Binary Search for first index at where funcCheck is true
bool funcCheck(typeNode nodeVal,typeNode var){return var == nodeVal;}
};
int main() {
SPEED
int N,K,Q; cin >> N >> K >> Q;
vector<int> C(N),A(K);
for(int i = 0; i < N; ++i) cin >> C[i];
for(int i = 0; i < K; ++i) cin >> A[i],A[i]--;
for(int i = 0; i < N-1; ++i) {
int u,v; cin >> u >> v;
u--,v--;
tree.makeEdge(u,v);
tree.makeEdge(v,u);
}
tree.makeDepth(0);
tree.makeChild();
tree.makeParent();
tree.makeSize();
tree.heavyLightDecomposition();
for(int pa:tree.reorder){
for(auto e:tree.child[pa]){
int ch = e.first;
chmax(C[ch],C[pa]);
}
}
SegmentTree<nodeLCAPointUpdate<int>> seg(A);
for(int i = 0; i < Q; ++i){
int q; cin >> q;
if(q==1){
int x,y; cin >> x >> y;
x--,y--;
seg.update(x,y);
}
else{
int l,r; cin >> l >> r;
l--;
cout << C[seg.get(l,r)] << endl;
}
}
return 0;
}