結果

問題 No.828 全方位神童数
コンテスト
ユーザー kopricky
提出日時 2019-05-06 10:28:13
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 927 ms / 2,000 ms
コード長 10,806 bytes
コンパイル時間 2,017 ms
コンパイル使用メモリ 184,372 KB
実行使用メモリ 83,324 KB
最終ジャッジ日時 2024-06-27 04:57:53
合計ジャッジ時間 20,501 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 43
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 # 

#include <bits/stdc++.h>
#define ll long long
#define INF 1000000005
#define MOD 1000000007
#define EPS 1e-10
#define rep(i,n) for(int i=0;i<(int)(n);++i)
#define rrep(i,n) for(int i=(int)(n)-1;i>=0;--i)
#define srep(i,s,t) for(int i=(int)(s);i<(int)(t);++i)
#define each(a,b) for(auto& (a): (b))
#define all(v) (v).begin(),(v).end()
#define len(v) (int)(v).size()
#define zip(v) sort(all(v)),v.erase(unique(all(v)),v.end())
#define cmx(x,y) x=max(x,y)
#define cmn(x,y) x=min(x,y)
#define fi first
#define se second
#define pb push_back
#define show(x) cout<<#x<<" = "<<(x)<<endl
#define sar(a,n) cout<<#a<<":";rep(pachico,n)cout<<" "<<a[pachico];cout<<endl

using namespace std;

template<typename S,typename T>auto&operator<<(ostream&o,pair<S,T>p){return o<<"{"<<p.fi<<","<<p.se<<"}";}
template<typename T>auto&operator<<(ostream&o,set<T>s){for(auto&e:s)o<<e<<" ";return o;}
template<typename S,typename T,typename U>
auto&operator<<(ostream&o,priority_queue<S,T,U>q){while(!q.empty())o<<q.top()<<" ",q.pop();return o;}
template<typename K,typename T>auto&operator<<(ostream&o,map<K,T>m){for(auto&e:m)o<<e<<" ";return o;}
template<typename T>auto&operator<<(ostream&o,vector<T>v){for(auto&e:v)o<<e<<" ";return o;}
void ashow(){cout<<endl;}template<typename T,typename...A>void ashow(T t,A...a){cout<<t<<" ";ashow(a...);}

typedef pair<int,int> P;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<vi> vvi;
typedef vector<vl> vvl;
typedef vector<P> vp;
typedef vector<double> vd;
typedef vector<string> vs;

const int MAX_N = 200005;

template<typename _Tp> class BSTNode {
public:
    int from, to;
    _Tp value, lazy;
    BSTNode *left, *right, *par;
    BSTNode(int _from, int _to) noexcept
        : from(_from), to(_to), value(id1), lazy(id1),
            left(nullptr), right(nullptr), par(nullptr){}
    static const _Tp id1 = (_Tp)0;
    static const _Tp id2 = (_Tp)0;
    static void opr1(_Tp& arg1, const _Tp arg2){ arg1 += arg2; }
    static _Tp opr2(const _Tp arg1, const _Tp arg2){ return arg1 + arg2; }
    inline bool isRoot() const { return !par; }
    inline bool isVertex() const noexcept { return from == to; }
    void push() noexcept {
        if(lazy != id1){
            opr1(value, lazy);
            if(left) opr1(left->lazy, lazy);
            if(right) opr1(right->lazy, lazy);
            lazy = id1;
        }
    }
    void eval() noexcept {
        if(left) left->push();
        if(right) right->push();
    }
    void rotate(bool right_) noexcept {
        BSTNode *p = par, *g = p->par;
        if(right_){
            if((p->left = right)) right->par = p;
            right = p, p->par = this;
        }else{
            if((p->right = left)) left->par = p;
            left = p, p->par = this;
        }
        p->eval(), eval();
        if(!(par = g)) return;
        if(g->left == p) g->left = this;
        if(g->right == p) g->right = this;
        g->eval();
    }
};

template<typename _Tp>
BSTNode<_Tp>* splay(BSTNode<_Tp> *u) noexcept {
    if(!u) return nullptr;
    while(!(u->isRoot())){
        BSTNode<_Tp> *p = u->par, *gp = p->par;
        if(p->isRoot()){ // zig
            p->push(), u->push();
            u->rotate((u == p->left));
        }else{
            gp->push(), p->push(), u->push();
            bool flag = (u == p->left);
            if((u == p->left) == (p == gp->left)){ // zig-zig
                p->rotate(flag), u->rotate(flag);
            }else{ // zig-zag
                u->rotate(flag), u->rotate(!flag);
            }
        }
    }
    u->push();
    return u;
}

template<typename _Tp>
BSTNode<_Tp>* join(BSTNode<_Tp> *root1, BSTNode<_Tp> *root2) noexcept {
    if(!root1 || !root2) return root1 ? root1 : root2;
    BSTNode<_Tp> *cur = nullptr, *nx = root1;
    do{ cur = nx, cur->push(), nx = cur->right; }while(nx);
    BSTNode<_Tp> *ver = splay(cur);
    ver->right = root2, ver->eval(), root2->par = ver;
    return ver;
}

template<typename _Tp>
pair<BSTNode<_Tp>*, BSTNode<_Tp>*> split_lower_bond(BSTNode<_Tp> *ver) noexcept {
    BSTNode<_Tp> *res = splay(ver)->left;
    ver->left = nullptr, ver->eval();
    if(res) res->par = nullptr;
    return make_pair(res, ver);
}

template<typename _Tp>
pair<BSTNode<_Tp>*, BSTNode<_Tp>*> split_upper_bond(BSTNode<_Tp> *ver) noexcept {
    BSTNode<_Tp> *res = splay(ver)->right;
    ver->right = nullptr, ver->eval();
    if(res) res->par = nullptr;
    return make_pair(ver, res);
}

template<typename T> class EulerTourTree {
private:
    struct edge {
        int from, to;
        edge(){}
        edge(int _from, int _to) : from(_from), to(_to){}
        bool operator<(const edge& val) const noexcept {
            return (from == val.from) ? (to < val.to) : (from < val.from);
        }
    };
    void reroot(BSTNode<T> *ver) noexcept {
        BSTNode<T> *res = splay(ver)->left;
        if(!res) return;
        while(ver->right) ver->push(), ver = ver->right;
        ver->right = res, ver->eval(), res->par = ver, splay(res);
    }
    void link(BSTNode<T> *ver1, BSTNode<T> *ver2) noexcept {
        reroot(ver1), reroot(ver2);
        BSTNode<T>* e1 = new BSTNode<T>(ver1->from, ver2->from);
        BSTNode<T>* e2 = new BSTNode<T>(ver2->from, ver1->from);
        edge_set[(edge){ver1->from, ver2->from}] = e1;
        edge_set[(edge){ver2->from, ver1->from}] = e2;
        join(join(ver1, e1), join(ver2, e2));
    }
    // void cut(BSTNode<T> *edge1, BSTNode<T> *edge2){
    //     splay(edge1), splay(edge2);
    //     BSTNode<T> *p = edge1->par;
    //     if(p != edge2){
    //         p->par = nullptr;
    //         if(edge1 == p->left) edge1->rotate(true), edge2->left = edge1;
    //         else edge1->rotate(false), edge2->right = edge1;
    //     }
    //     if(edge1->left) edge1->left->par = nullptr;
    //     if(edge1->right) edge1->right->par = nullptr;
    //     if(edge1 == edge2->left){
    //         if(edge2->right) edge2->right->par = nullptr;
    //         join(edge1->left, edge2->right);
    //     }else{
    //         if(edge2->left) edge2->left->par = nullptr;
    //         join(edge2->left, edge1->right);
    //     }
    //     delete edge1; delete edge2;
    // }
    void cut(BSTNode<T> *edge1, BSTNode<T> *edge2) noexcept {
        splay(edge1), splay(edge2);
        BSTNode<T> *p = edge1->par;
        if(p != edge2) p->par = nullptr, edge1->rotate((edge1 == p->left)), edge2->right = edge1;
        if(edge2->left) edge2->left->par = nullptr;
        if(edge1->left) edge1->left->par = nullptr;
        if(edge1->right) edge1->right->par = nullptr;
        join(edge2->left, edge1->right);
        delete edge1; delete edge2;
    }
    bool isConnected(BSTNode<T> *ver1, BSTNode<T> *ver2) noexcept {
        splay(ver1), splay(ver2);
        return ver1->par;
    }
    T& get(BSTNode<T> *ver) noexcept { return splay(ver)->value; }
    void range(BSTNode<T> *edge1, BSTNode<T> *edge2, const T& val) noexcept {
        auto res1 = split_lower_bond(edge1);
        auto res2 = split_upper_bond(edge2);
        BSTNode<T>::opr1(res2.first->lazy, val);
        join(join(res1.first,res2.first), res2.second);
    }
    T query(BSTNode<T> *edge1, BSTNode<T> *edge2) noexcept {
        auto res1 = split_lower_bond(edge1);
        auto res2 = split_upper_bond(edge2);
        T res = res2.first->al;
        return join(join(res1.first,res2.first), res2.second), res;
    }
public:
    int V;
    BSTNode<T>** vertex_set;
    map<edge, BSTNode<T>*> edge_set;
    EulerTourTree(const int node_size) noexcept : V(node_size){
        vertex_set = new BSTNode<T>*[V];
        for(int i = 0; i < V; i++) vertex_set[i] = new BSTNode<T>(i, i);
    }
    void reroot(const int node_id) noexcept { reroot(vertex_set[node_id]); }
    void link(const int node1_id, const int node2_id)
        noexcept { link(vertex_set[node1_id], vertex_set[node2_id]); }
    void cut(const int node1_id, const int node2_id){
        auto it1 = edge_set.find((edge){node1_id, node2_id});
        auto it2 = edge_set.find((edge){node2_id, node1_id});
        assert(it1 != edge_set.end());
        cut(it1->se, it2->se);
    }
    bool isConnected(const int node1_id, const int node2_id)
        noexcept { return isConnected(vertex_set[node1_id], vertex_set[node2_id]);}
    T& get(int ver_id){ return get(vertex_set[ver_id]); }
    void component_range(int ver_id, const T& val) noexcept { range(ver_id, -1, val); }
    void range(int ver_id, int par_id, const T& val) noexcept {
        if(par_id < 0) return BSTNode<T>::opr1(splay(vertex_set[ver_id])->lazy, val);
        auto it1 = edge_set.find((edge){par_id, ver_id});
        auto it2 = edge_set.find((edge){ver_id, par_id});
        assert(it1 != edge_set.end());
        range(it1->se, it2->se, val);
    }
    T component_query(int ver_id) noexcept { return query(ver_id, -1); }
    T query(int ver_id, int par_id) noexcept {
        if(par_id < 0) return splay(vertex_set[ver_id])->al;
        auto it1 = edge_set.find((edge){par_id, ver_id});
        auto it2 = edge_set.find((edge){ver_id, par_id});
        assert(it1 != edge_set.end());
        return query(it1->se, it2->se);
    }
    vector<vector<int> > G;
    vector<int> parent;
    EulerTourTree(const int node_size, bool _build) noexcept : V(node_size), G(V), parent(V){
        vertex_set = new BSTNode<T>*[V];
        for(int i = 0; i < V; i++) vertex_set[i] = new BSTNode<T>(i, i);
    }
    void add_edge(int u, int v){ G[u].push_back(v), G[v].push_back(u); }
    BSTNode<T>* dfs(int u, int p, BSTNode<T> *cur){
        parent[u] = p;
        cur = join(cur, vertex_set[u]);
        for(auto& v : G[u]){
            if(v != p){
                BSTNode<T>* e1 = new BSTNode<T>(u, v);
                edge_set[(edge){u, v}] = e1;
                cur = join(cur, e1);
                cur = dfs(v, u, cur);
                BSTNode<T>* e2 = new BSTNode<T>(v, u);
                edge_set[(edge){v, u}] = e2;
                cur = join(cur, e2);
            }
        }
        return cur;
    }
    vector<int> build(int _root){
        BSTNode<T> *cur = nullptr;
        dfs(_root, -1, cur);
        return parent;
    }
};

int r[MAX_N];

int main()
{
    cin.tie(0);
    ios::sync_with_stdio(false);
    int n;
    cin >> n;
    rep(i,n){
        cin >> r[i];
    }
    EulerTourTree<int> et(n, true);
    rep(i,n-1){
        int u, v;
        cin >> u >> v;
        et.add_edge(u-1, v-1);
    }
    auto par = et.build(0);
    rrep(i,n){
        et.component_range(i, 1);
        for(auto& to : et.G[i]){
            if(to < i){
                if(to == par[i]) et.cut(i, par[i]);
                else et.cut(to, i);
            }
        }
    }
    int ans = 1;
    rep(i,n){
        ans = (ll)ans * (et.get(i) + r[i]) % MOD;
    }
    cout << ans << "\n";
    return 0;
}
0