結果

問題 No.2494 Sum within Components
ユーザー asaringoasaringo
提出日時 2023-10-06 21:30:01
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 67 ms / 2,000 ms
コード長 6,481 bytes
コンパイル時間 2,955 ms
コンパイル使用メモリ 209,948 KB
実行使用メモリ 10,232 KB
最終ジャッジ日時 2023-10-06 21:30:06
合計ジャッジ時間 3,561 ms
ジャッジサーバーID
（参考情報） 		judge12 / judge11
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 1 ms
4,380 KB
testcase_01 AC 1 ms
4,376 KB
testcase_02 AC 2 ms
4,376 KB
testcase_03 AC 2 ms
4,380 KB
testcase_04 AC 2 ms
4,376 KB
testcase_05 AC 1 ms
4,376 KB
testcase_06 AC 1 ms
4,380 KB
testcase_07 AC 2 ms
4,380 KB
testcase_08 AC 2 ms
4,376 KB
testcase_09 AC 5 ms
4,380 KB
testcase_10 AC 6 ms
4,380 KB
testcase_11 AC 4 ms
4,376 KB
testcase_12 AC 8 ms
4,380 KB
testcase_13 AC 5 ms
4,376 KB
testcase_14 AC 54 ms
7,772 KB
testcase_15 AC 52 ms
6,512 KB
testcase_16 AC 28 ms
7,496 KB
testcase_17 AC 33 ms
10,216 KB
testcase_18 AC 35 ms
10,232 KB
testcase_19 AC 67 ms
10,112 KB
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>
using namespace std;
#define overload2(a, b, c, ...) c
#define overload3(a, b, c, d, ...) d
#define overload4(a, b, c, d, e ...) e
#define overload5(a, b, c, d, e, f ...) f
#define overload6(a, b, c, d, e, f, g ...) g
#define fast_io ios::sync_with_stdio(false); cin.tie(nullptr);
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
typedef long long ll;
typedef long double ld;
#define chmin(a,b) a = min(a,b);
#define chmax(a,b) a = max(a,b);
#define bit_count(x) __builtin_popcountll(x)
#define leading_zero_count(x) __builtin_clz(x)
#define trailing_zero_count(x) __builtin_ctz(x)
#define gcd(a,b) __gcd(a,b)
#define lcm(a,b) a / gcd(a,b) * b
#define rep(...) overload3(__VA_ARGS__, rrep, rep1)(__VA_ARGS__)
#define rep1(i,n) for(int i = 0 ; i < n ; i++)
#define rrep(i,a,b) for(int i = a ; i < b ; i++)
#define repi(it,S) for(auto it = S.begin() ; it != S.end() ; it++)
#define pt(a) cout << a << endl;
#define print(...) printall(__VA_ARGS__);
#define debug(a) cout << #a << " " << a << endl;
#define all(a) a.begin(), a.end()
#define endl "\n";
#define v1(T,n,a) vector<T>(n,a)
#define v2(T,n,m,a) vector<vector<T>>(n,v1(T,m,a))
#define v3(T,n,m,k,a) vector<vector<vector<T>>>(n,v2(T,m,k,a))
#define v4(T,n,m,k,l,a) vector<vector<vector<vector<T>>>>(n,v3(T,m,k,l,a))
template<typename T,typename U>istream &operator>>(istream&is,pair<T,U>&p){is>>p.first>>p.second;return is;}
template<typename T,typename U>ostream &operator<<(ostream&os,const pair<T,U>&p){os<<p.first<<" "<<p.second;return os;}
template<typename T>istream &operator>>(istream&is,vector<T>&v){for(T &in:v){is>>in;}return is;}
template<typename T>ostream &operator<<(ostream&os,const vector<T>&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?" ":"");}return os;}
template<typename T>istream &operator>>(istream&is,vector<vector<T>>&v){for(T &in:v){is>>in;}return is;}
template<typename T>ostream &operator<<(ostream&os,const vector<vector<T>>&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?"\n":"");}return os;}
template<typename T>ostream &operator<<(ostream&os,const set<T>&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?" ":"");}return os;}
template<typename T>ostream &operator<<(ostream&os,const multiset<T>&v){for(auto it=v.begin();it!=v.end();){os<<*it<<((++it)!=v.end()?" ":"");}return os;}
template<class... Args> void printall(Args... args){for(auto i:initializer_list<common_type_t<Args...>>{args...}) cout<<i<<" ";cout<<endl;}

const int mod = 998244353 ;

template< int mod >
struct ModInt {
    int x;

    ModInt() : x(0) {}

    ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

    ModInt &operator+=(const ModInt &p) {
        if((x += p.x) >= mod) x -= mod;
        return *this;
    }

    ModInt &operator-=(const ModInt &p) {
        if((x += mod - p.x) >= mod) x -= mod;
        return *this;
    }

    ModInt &operator*=(const ModInt &p) {
        x = (int) (1LL * x * p.x % mod);
        return *this;
    }

    ModInt &operator/=(const ModInt &p) {
        *this *= p.inverse();
        return *this;
    }

    ModInt operator-() const { return ModInt(-x); }

    ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }

    ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }

    ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }

    ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }

    bool operator==(const ModInt &p) const { return x == p.x; }

    bool operator!=(const ModInt &p) const { return x != p.x; }

    ModInt inverse() const {
        int a = x, b = mod, u = 1, v = 0, t;
        while(b > 0) {
            t = a / b;
            swap(a -= t * b, b);
            swap(u -= t * v, v);
        }
        return ModInt(u);
    }

    ModInt pow(int64_t n) const {
        ModInt ret(1), mul(x);
        while(n > 0) {
            if(n & 1) ret *= mul;
            mul *= mul;
            n >>= 1;
        }
        return ret;
    }

    friend ostream &operator<<(ostream &os, const ModInt &p) {
        return os << p.x;
    }

    friend istream &operator>>(istream &is, ModInt &a) {
        int64_t t;
        is >> t;
        a = ModInt< mod >(t);
        return (is);
    }

    static int get_mod() { return mod; }
};

using modint = ModInt< mod >;

struct UnionFind {
    private:
        vector<int> par ; //親
        vector<int> lank ; //木の深さ
        vector<int> volume ; //構成する集合のサイズ
        vector<int> edge ; //構成する集合の辺の数
        vector<modint> sum;

    public:
        UnionFind(vector<ll> A){
            int n = A.size();
            //n要素で初期化
            par.resize(n) ;
            lank.resize(n) ;
            volume.resize(n) ;
            edge.resize(n) ;
            sum.resize(n);
            for(int i = 0 ; i < n ; i++){
                par[i] = i ;
                lank[i] = 0 ;
                volume[i] = 1 ;
                edge[i] = 0 ;
                sum[i] = A[i];
            }
        }
        //木の根を求める
        int root(int x) {
            if(par[x] == x) return x ;
            else return par[x] = root(par[x]) ;
        }

        //xとyの属する集合を合併
        void unite(int x , int y){
            x = root(x);
            y = root(y) ;
            if(x == y) {
                edge[x]++ ;
                return ;
            }
            if(lank[x] < lank[y]){
                par[x] = y ;
                volume[y] += volume[x] ;
                edge[y] += edge[x] + 1 ;
                sum[y] += sum[x];
            } else {
                par[y] = x ;
                volume[x] += volume[y] ;
                edge[x] += edge[y] + 1 ;
                sum[x] += sum[y];
                if(lank[x] == lank[y]) lank[x]++ ;
            }
        }

        bool same(int x , int y) { return root(x) == root(y) ; }
        int size(int x) { return volume[root(x)] ; }
        int edge_num(int x) { return edge[root(x)] ; }
        modint get_sum(int x) { return sum[root(x)]; }
};

int n, m;

void solve(){
    cin >> n >> m;
    vector<ll> A(n);
    cin >> A;
    UnionFind uf(A);
    rep(i,m){
        int v, u;
        cin >> v >> u;
        v--; u--;
        uf.unite(v,u);
    }
    modint res = 1;
    rep(i,n) res *= uf.get_sum(i);
    pt(res)
}

int main(){
    fast_io
    int t = 1;
    // cin >> t;
    rep(i,t) solve();
}
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