結果

問題 No.828 全方位神童数
ユーザー polyomino_24polyomino_24
提出日時 2019-05-03 23:16:45
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 357 ms / 2,000 ms
コード長 6,532 bytes
コンパイル時間 1,616 ms
コンパイル使用メモリ 133,304 KB
最終ジャッジ日時 2025-01-07 03:33:36
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
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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 <algorithm>
#include <cassert>
#include <cctype>
#include <climits>
#include <cmath>
#include <complex>
#include <cstdio>
#include <cstring>
#include <deque>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <vector>
#define rep(i, n) for (int i = 0; i < (int)(n); ++i)
//#define cerr if(false) cerr
#ifdef DEBUG
#define show(...) cerr << #__VA_ARGS__ << " = ", debug(__VA_ARGS__);
#else
#define show(...) 42
#endif
using namespace std;
using ll = long long;
using pii = pair<int, int>;
template <typename T, typename S>
ostream &operator<<(ostream &os, pair<T, S> a) {
    os << '(' << a.first << ',' << a.second << ')';
    return os;
}
template <typename T>
ostream &operator<<(ostream &os, vector<T> v) {
    for (auto x : v) os << x << ' ';
    return os;
}
void debug() {
    cerr << '\n';
}
template <typename H, typename... T>
void debug(H a, T... b) {
    cerr << a;
    if (sizeof...(b)) cerr << ", ";
    debug(b...);
}

template<int MOD>
class modint{
public:
    int a;
    modint(const long long v = 0):a(v % MOD){}
    int getmod() const{
        return MOD;
    }
    modint operator+(const modint rhs) const{
        return modint(*this) += rhs;
    }
    modint operator-(const modint rhs) const{
        return modint(*this) -= rhs;
    }
    modint operator*(const modint rhs) const{
        return modint(*this) *= rhs;
    }
    modint operator/(const modint rhs) const{
        return modint(*this) /= rhs;
    }
    modint operator+(const long long rhs) const{
        return modint(*this) += rhs;
    }
    modint operator-(const long long rhs) const{
        return modint(*this) -= rhs;
    }
    modint operator*(const long long rhs) const{
        return modint(*this) *= rhs;
    }
    modint operator/(const long long rhs) const{
        return modint(*this) /= rhs;
    }
    friend modint operator+(const long long a, const modint b){
        return b + a;
    }
    friend modint operator-(const long long a, const modint b){
        return -b + a;
    }
    friend modint operator*(const long long a, const modint b){
        return b * a;
    }
    friend modint operator/(const long long a, const modint b){
        return modint(a) / b;
    }
    modint &operator+=(const modint rhs){
        a += rhs.a;
        if(a >= MOD){
            a -= MOD;
        }
        return *this;
    }
    modint &operator-=(const modint rhs){
        if(a < rhs.a){
            a += MOD;
        }
        a -= rhs.a;
        return *this;
    }
    modint &operator*=(const modint rhs){
        a = (long long)a * rhs.a % MOD;
        return *this;
    }
    modint &operator/=(modint rhs){
        int x = MOD - 2;
        while(x){
            if(x % 2){
                *this *= rhs;
            }
            rhs *= rhs;
            x /= 2;
        }
        return *this;
    }
    //https://mickey24.hatenablog.com/entry/20081021/1224590753
    modint &operator++(){
        *this += 1;
        return *this;
    }
    modint &operator--(){
        *this -= 1;
        return *this;
    }
    modint operator++(int){
        modint res = *this;
        ++(*this);
        return res;
    }
    modint operator--(int){
        modint res = *this;
        res -= 1;
        return res;
    }
    modint &operator+=(const long long rhs){
        *this += modint(rhs);
        return *this;
    }
    modint &operator-=(const long long rhs){
        *this -= modint(rhs);
        return *this;
    }
    modint &operator*=(const long long rhs){
        *this *= modint(rhs);
        return *this;
    }
    modint &operator/=(const long long rhs){
        *this /= modint(rhs);
        return *this;
    }
    modint operator+() const{
        return *this;
    }
    modint operator-() const{
        return modint()-*this;
    }
    bool operator==(const modint rhs) const{
        return a == rhs.a;
    }
    bool operator==(const long long rhs) const{
        return a == rhs;
    }
    friend bool operator==(const long long a, const modint b){
        return a == b.a;
    }
    bool operator!=(const modint rhs) const{
        return a != rhs.a;
    }
    bool operator!=(const long long rhs) const{
        return a != rhs;
    }
    friend ostream &operator<<(ostream &os, const modint x){
        os << x.a;
        return os;
    }
    friend istream &operator>>(istream &is, modint &x){
        is >> x.a;
        return is;
    }
    explicit operator bool() const{
        return a > 0;
    }
    bool operator!(){
        return a == 0;
    }
    explicit operator int() const{
        return a;
    }
    explicit operator long long() const{
        return (long long) a;
    }
    friend modint pow(modint a, long long b){
        modint res = 1;
        while(b){
            if(b % 2){
                res *= a;
            }
            a *= a;
            b /= 2;
        }
        return res;
    }
};
using mint = modint<1000000007>;
vector<int>g[200005];
int par[200005];
int sz[200005];
vector<vector<int>>d;
int find(int x){
    if(par[x] == x)return x;
    else return par[x] = find(par[x]);
}
bool same(int x,int y){
    x = find(x);
    y = find(y);
    return x == y;
}
void unite(int x,int y){
    x = find(x);
    y = find(y);
    if(x == y)return;
    if(sz[x] >= sz[y]){
        for(auto z:d[y]){
            d[x].push_back(z);
        }
        sz[x] += sz[y];
        par[y] = x;
        sz[y] = 0;
    }else{
        swap(x,y);
        for(auto z:d[y]){
            d[x].push_back(z);
        }
        sz[x] += sz[y];
        par[y] = x;
        sz[y] = 0;
    }
}
int main(){
    int n;
    cin >> n;
    vector<mint>r(n);
    rep(i,n)cin >> r[i];
    d.resize(n);
    rep(i,n){
        sz[i] = 1;
        par[i] = i;
        d[i].push_back(i);
    }
    rep(i,n-1){
        int a,b;
        cin >> a >> b;
        a--,b--;
        if(b > a)swap(a,b);
        g[a].push_back(b);
    }
    vector<pii>p;
    rep(i,n){
        for(auto x: g[i]){
            unite(i,x);
        }
        int t = find(i);
        show(i,t);
        p.emplace_back(d[t][0],d[t].back());
    }
    auto a = d[find(0)];
    vector<int>gya(n);
    vector<int>b(n+1,0);
    rep(i,n){
        gya[a[i]] = i;
    }
    for(auto x : p){
        b[gya[x.first]]++;
        b[gya[x.second]+1]--;
    }
    rep(i,n)b[i+1] += b[i];
    mint ans = 1;
    rep(i,n){
        ans *= (r[i] + b[gya[i]]);
    }
    cout << ans << endl;
}
0