結果
| 問題 |
No.1442 I-wate Shortest Path Problem
|
| コンテスト | |
| ユーザー |
tute7627
|
| 提出日時 | 2021-03-26 22:47:14 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 427 ms / 3,000 ms |
| コード長 | 9,779 bytes |
| コンパイル時間 | 2,801 ms |
| コンパイル使用メモリ | 221,192 KB |
| 最終ジャッジ日時 | 2025-01-19 23:16:40 |
|
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 | AC * 2 |
| other | AC * 25 |
ソースコード
//#define _GLIBCXX_DEBUG
#include<bits/stdc++.h>
using namespace std;
#define endl '\n'
#define lfs cout<<fixed<<setprecision(10)
#define ALL(a) (a).begin(),(a).end()
#define ALLR(a) (a).rbegin(),(a).rend()
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T> using PQ = priority_queue<T>;
template<typename T> using QP = priority_queue<T,vector<T>,greater<T>>;
template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}
template<typename T>void debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout<<sv<<v[i][j];cout<<endl;}};
template<typename T>void debug(const T &v,ll n,string sv=" "){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout<<sv<<v[i];cout<<endl;};
template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << p.first << " " << p.second;}
template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){for(auto &z:v)os << z << " ";cout<<"|"; return os;}
template<typename T>void rearrange(vector<int>&ord, vector<T>&v){
auto tmp = v;
for(int i=0;i<tmp.size();i++)v[i] = tmp[ord[i]];
}
template<typename Head, typename... Tail>void rearrange(vector<int>&ord,Head&& head, Tail&&... tail){
rearrange(ord, head);
rearrange(ord, tail...);
}
template<typename T> vector<int> ascend(const vector<T>&v){
vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
sort(ord.begin(),ord.end(),[&](int i,int j){return v[i]<v[j];});
return ord;
}
template<typename T> vector<int> descend(const vector<T>&v){
vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
sort(ord.begin(),ord.end(),[&](int i,int j){return v[i]>v[j];});
return ord;
}
ll FLOOR(ll n,ll div){return n>=0?n/div:(n-div+1)/div;}
ll CEIL(ll n,ll div){return n>=0?(n+div-1)/div:n/div;}
template<typename T>T min(const vector<T>&v){return *min_element(v.begin(),v.end());}
template<typename T>T max(const vector<T>&v){return *max_element(v.begin(),v.end());}
template<typename T>T reverse(const T &v){return T(v.rbegin(),v.rend());};
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
int popcount(ll x){return __builtin_popcountll(x);};
int poplow(ll x){return __builtin_ctzll(x);};
int pophigh(ll x){return 63 - __builtin_clzll(x);};
template<typename T>T poll(queue<T> &q){auto ret=q.front();q.pop();return ret;};
template<typename T>T poll(priority_queue<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(QP<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(stack<T> &s){auto ret=s.top();s.pop();return ret;};
template< typename T = int >
struct edge {
int to;
T cost;
int id;
edge() = default;
edge(int to, T _cost = 1, int id = -1):to(to), cost(_cost), id(id){}
operator int() const { return to; }
};
template<typename T>
using Graph = vector<vector<edge<T>>>;
template<typename T>
Graph<T> readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){
Graph<T> ret(n);
for(int es = 0; es < m; es++){
int u,v,w=1;
cin>>u>>v;u-=indexed,v-=indexed;
if(weighted)cin>>w;
ret[u].emplace_back(v,w*2,es);
if(!directed)ret[v].emplace_back(u,w*2,es);
}
return ret;
}
template<typename T>
Graph<T> readParent(int n,int indexed=1,bool directed=true){
Graph<T>ret(n);
for(int i=1;i<n;i++){
int p;cin>>p;
p-=indexed;
ret[p].emplace_back(i);
if(!directed)ret[i].emplace_back(p);
}
return ret;
}
template<typename T>
vector<ll> dijkstra(Graph<T>&g,ll s = 0) {
using PT=pair<ll,int>;
priority_queue<PT, vector<PT>, greater<PT> > que;
vector<ll>dist(g.size(),INF);
dist[s] = 0;
que.emplace(0, s);
while (!que.empty()) {
PT p = que.top();
que.pop();
int v = p.second;
if (dist[v] < p.first) continue;
for(auto e:g[v]) {
if (dist[e.to] > dist[v] + e.cost) {
dist[e.to] = dist[v] + e.cost;
que.emplace(dist[e.to], e.to);
}
}
}
return dist;
}
template<typename T>
struct HLD{
using D=long long;
int n;
vector<int>sz;//部分木サイズ
vector<D>dep;
vector<int>par;
vector<int>head;
Graph<T> &g;//隣接リスト
vector<edge<T>>edges;//データ構造に乗せるedge列
vector<int>in,out;//[in,out)で部分木、[ina,inb]でa~bのパス(aが上)
vector<int>comp;//連結成分の根
//inは頂点のindexを表す。また、edge列の下側の頂点である
HLD(Graph<T> &g,int r=-1):g(g),n(g.size()){
hld_build(r);
}
void hld_build(int root = -1){
in.assign(n,-1);out.assign(n,-1);dep.assign(n,0);
par.assign(n,-1);head.assign(n,-1);sz.assign(n,-1);comp.assign(n,-1);
edges.assign(n,edge<T>());
if(root == -1){//根がどこでも良い場合(森でも可)
for(int i=0;i<n;i++){
if(sz[i] == -1){
head[i] = i;
dfs_sz(i, 0, i);
dfs_hld(i);
}
}
}
else{
head[root] = root;
dfs_sz(root, 0, root);
dfs_hld(root);
}
}
void dfs_sz(int k, D d,int r){
sz[k] = 1;
comp[k] = r;
dep[k] = d;
for(auto &e: g[k]){
if(e.to == par[k])continue;
par[e.to] = k;
dfs_sz(e.to, d+e.cost, r);
sz[k] += sz[e.to];
if(sz[e.to] > sz[g[k][0].to])swap(e, g[k][0]);
}
}
int time = 0;
void dfs_hld(int k){
in[k] = time++;
for(auto e:g[k]){
if(e.to == par[k])continue;
head[e.to] = (e.to == g[k][0].to ? head[k]: e.to);
edges[time] = e;
dfs_hld(e.to);
}
out[k] = time;
}
int lca(int p,int q){
while(1){
if(in[p] < in[q])swap(p,q);
if(head[p] == head[q])return q;
p = par[head[p]];
}
}
vector<pair<int,int>>query_path(int p,int q,bool isEdge){
int r=lca(p,q);
vector<pair<int,int>>ret;
for(int i=0;i<2;i++){
if(i == 1)swap(p,q);
while(1){
if(isEdge&&p==r)break;
if(head[p]==head[r]){
ret.emplace_back(in[r]+(isEdge?1:i),in[p]+1);
break;
}
ret.emplace_back(in[head[p]],in[p]+1);
p = par[head[p]];
}
}
return ret;
}
vector<vector<pair<int,int>>>query_order_path(int p,int q,bool isEdge){
//非可換クエリ用、配列0を順番を反転したデータ構造に、配列1を通常のデータ構造に
vector<vector<pair<int,int>>>ret(2);
int r=lca(p,q);
for(int i=0;i<2;i++){
if(i == 1)swap(p,q);
while(1){
if(isEdge&&p==r)break;
if(head[p]==head[r]){
if(i==0) ret[i].emplace_back(n-(in[p]+1),n-(in[r]+(isEdge?1:i)));
else ret[i].emplace_back(in[r]+(isEdge?1:i),in[p]+1);
break;
}
if(i==0) ret[i].emplace_back(n-(in[p]+1),n-(in[head[p]]));
else ret[i].emplace_back(in[head[p]],in[p]+1);
p = par[head[p]];
}
}
reverse(ret[1].begin(), ret[1].end());
return ret;
}
pair<int,int>query_subtree(int p,bool isEdge){
return make_pair(in[p]+isEdge,out[p]);
}
//uのv方向の子 子孫関係は前もって確認すること(in,outを見る)
int child(int u,int v){
while(1){
if(head[u]==head[v]){
v=g[u][0].to;
break;
}
v=head[v];
if(par[v]==u)break;
v=par[v];
}
return v;
}
//uをv方向に一つ進めた頂点
int move(int u,int v){
assert(u!=v);
if(in[u]<in[v]&&in[v]<out[v])return child(u,v);
else return par[u];
}
D dist(int u,int v){
return dep[u]+dep[v]-2*dep[lca(u,v)];
}
vector<int>rev_in;
int climb(int u,int k){
if(rev_in.empty()){
rev_in.resize(n);
for(int i=0;i<n;i++)rev_in[in[i]]=i;
}
int nd=max<int>(dep[u]-k, 0);
while(dep[u]>nd){
if(dep[head[u]]>nd){
u=par[head[u]];
}
else{
u=rev_in[in[head[u]]+nd-dep[head[u]]];
}
}
return u;
}
};
int main(){
cin.tie(nullptr);
ios_base::sync_with_stdio(false);
ll res=0,buf=0;
bool judge = true;
ll n,k;cin>>n>>k;
auto g1=readGraph<ll>(n,n-1,1,false,true);
auto g2=g1;
g2.resize(n+k);
HLD hld(g1);
rep(i,0,k){
ll m,p;cin>>m>>p;
rep(j,0,m){
ll x;cin>>x;x--;
g2[x].EB(i+n,p);
g2[i+n].EB(x,p);
}
}
vector<vector<ll>>d;
rep(i,0,k){
d.PB(dijkstra(g2,n+i));
//debug(d[i],n+k);
}
ll q;cin>>q;
while(q--){
ll u,v;cin>>u>>v;u--;v--;
ll ret=hld.dist(u,v);
rep(i,0,k){
//cout<<i spa u spa v spa d.size() spa d[i].size()<<endl;
chmin(ret,d[i][u]+d[i][v]);
}
cout<<ret/2<<endl;
}
return 0;
}
tute7627