結果

問題 No.2676 A Tourist
ユーザー umimel
提出日時 2024-03-16 14:33:03
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 1,108 ms / 5,000 ms
コード長 7,096 bytes
コンパイル時間 2,530 ms
コンパイル使用メモリ 197,824 KB
実行使用メモリ 66,900 KB
最終ジャッジ日時 2024-09-30 03:59:25
合計ジャッジ時間 18,114 ms
ジャッジサーバーID
(参考情報)
judge3 / judge5
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 2
other AC * 31
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using pll = pair<ll, ll>;
#define drep(i, cc, n) for (ll i = (cc); i <= (n); ++i)
#define rep(i, n) drep(i, 0, n - 1)
#define all(a) (a).begin(), (a).end()
#define pb push_back
#define fi first
#define se second
mt19937_64 rng(chrono::system_clock::now().time_since_epoch().count());
const ll MOD1000000007 = 1000000007;
const ll MOD998244353 = 998244353;
const ll MOD[3] = {999727999, 1070777777, 1000000007};
const ll LINF = 1LL << 60LL;
const int IINF = (1 << 30) - 1;
template<typename T>
struct edge{
int from, to;
T cost;
int id;
edge(){}
edge(int to, T cost=1) : from(-1), to(to), cost(cost){}
edge(int to, T cost, int id) : from(-1), to(to), cost(cost), id(id){}
edge(int from, int to, T cost, int id) : from(from), to(to), cost(cost), id(id){}
};
template<typename T>
struct redge{
int from, to;
T cap, cost;
int rev;
redge(int to, T cap, T cost=(T)(1)) : from(-1), to(to), cap(cap), cost(cost){}
redge(int to, T cap, T cost, int rev) : from(-1), to(to), cap(cap), cost(cost), rev(rev){}
};
template<typename T> using Edges = vector<edge<T>>;
template<typename T> using weighted_graph = vector<Edges<T>>;
template<typename T> using tree = vector<Edges<T>>;
using unweighted_graph = vector<vector<int>>;
template<typename T> using residual_graph = vector<vector<redge<T>>>;
template<typename W>
struct vertex_add_path_sum{
struct segtree{
int n;
vector<W> dat;
segtree(){};
segtree(int n_){
n = 1;
while(n < n_) n*=2;
dat.resize(2*n, 0);
}
void update(int k, W a){
k += n-1;
dat[k] += a;
while(k > 0){
k = (k-1)/2;
dat[k] = dat[2*k+1]+dat[2*k+2];
}
}
// sum of [a, b)
W query(int a, int b){return query_sub(a, b, 0, 0, n);}
W query_sub(int a, int b, int k, int l, int r){
if(r <= a || b <= l){
return 0;
}else if(a <= l && r <= b){
return dat[k];
}else{
W vl = query_sub(a, b, 2*k+1, l, (l+r)/2);
W vr = query_sub(a, b, 2*k+2, (l+r)/2, r);
return vl+vr;
}
}
} seg;
struct lowest_common_ancestor{
int root = 0;
int n;
int log_n = 1;
vector<vector<int>> par;
vector<int> depth;
lowest_common_ancestor(){}
lowest_common_ancestor(tree<W> &T, int root = 0) : root(root){
n = (int)T.size();
while((1 << log_n) < n) log_n++;
par.resize(log_n, vector<int>(n, -1));
depth.resize(n, 0);
init(T);
}
void init(tree<W> &T){
function<void(int, int)> dfs = [&](int v, int p){
par[0][v] = p;
for(edge<W> e : T[v]) if(e.to!=p){
depth[e.to] = depth[v]+1;
dfs(e.to, v);
}
}; dfs(root, -1);
for(int k=0; k+1<log_n; k++){
for(int v=0; v<n; v++){
if(par[k][v]<0) par[k+1][v] = -1;
else par[k+1][v] = par[k][par[k][v]];
}
}
}
int query(int u, int v){
if(depth[u] < depth[v]) swap(u, v);
for(int k=0; k<log_n; k++) if((depth[u]-depth[v]) >> k & 1) u = par[k][u];
if(u == v) return u;
for(int k=log_n-1; k>=0; k--){
if(par[k][u] != par[k][v]){
u = par[k][u];
v = par[k][v];
}
}
return par[0][u];
}
} lca;
int n;
vector<int> par;
vector<int> pos;
vector<int> depth;
vector<int> path_top;
vertex_add_path_sum(tree<W> &T, int root = 0){
n = (int)T.size();
par.resize(n, 0);
pos.resize(n, 0);
depth.resize(n, 0);
path_top.resize(n, -1);
init(T, root);
}
void init(tree<W> &T, int root){
vector<int> siz(n, 1);
//par, siz, depth
function<void(int, int)> dfs1 = [&](int v, int p){
par[v] = p;
for(edge<W> e : T[v]) if(e.to!=p){
depth[e.to] = depth[v]+1;
dfs1(e.to, v);
siz[v] += siz[e.to];
}
}; dfs1(root, -1);
//heavy-light decomposition
int cnt = 0;
function<void(int, int, int)> dfs2 = [&](int v, int p, int a){
pos[v] = cnt++;
path_top[v] = a;
int M = 0;
int ch = -1;
for(edge<W> e : T[v]) if(e.to!=p){
if(siz[e.to] > M){
M = siz[e.to];
ch = e.to;
}
}
if(ch!=-1) dfs2(ch, v, a);
for(edge<W> e : T[v]) if(e.to!=p && e.to!=ch) dfs2(e.to, v, e.to);
};
dfs2(root, -1, root);
seg = segtree(n);
lca = lowest_common_ancestor(T, root);
}
vector<pair<int, int>> hld_query(int u, int v){
vector<pair<int, int>> ret;
int r = lca.query(u, v);
while(path_top[u] != path_top[r]){
ret.push_back({pos[path_top[u]], pos[u]});
u = par[path_top[u]];
}
while(path_top[v] != path_top[r]){
ret.push_back({pos[path_top[v]], pos[v]});
v = par[path_top[v]];
}
ret.push_back({min(pos[u], pos[v]), max(pos[u], pos[v])});
return ret;
}
void update(int v, W x){
seg.update(pos[v], x);
}
W query(int u, int v){
vector<pair<int, int>> hld = hld_query(u, v);
W ans = 0;
for(pair<int, int> p : hld) ans += seg.query(p.fi, p.se+1);
return ans;
}
};
void solve(){
int n, q; cin >> n >> q;
vector<ll> a(n+1, 0);
for(int i=0; i<n; i++) cin >> a[i];
tree<ll> T(n+1);
T[0].push_back(edge<ll>(n));
T[n].push_back(edge<ll>(0));
for(int i=0; i<n-1; i++){
int u, v; cin >> u >> v;
u--; v--;
T[u].push_back(edge<ll>(v));
T[v].push_back(edge<ll>(u));
}
vertex_add_path_sum<ll> hld(T, n);
//
function<void(int, int)> dfs = [&](int v, int p){
ll sum = 0;
for(edge<ll> e : T[v]) if(e.to != p){
sum += a[e.to];
dfs(e.to, v);
}
hld.update(v, sum);
}; dfs(n, -1);
while(q--){
int type; cin >> type;
if(type==0){
int v, x; cin >> v >> x;
v--;
hld.update(hld.par[v], x);
a[v] += x;
}
if(type==1){
int u, v; cin >> u >> v;
u--; v--;
int r = hld.lca.query(u, v);
cout << hld.query(u, v) + a[r] + a[hld.par[r]] << '\n';
}
}
}
int main(){
cin.tie(nullptr);
ios::sync_with_stdio(false);
int T=1;
//cin >> T;
while(T--) solve();
}
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