結果

問題 No.1552 Simple Dice Game
ユーザー milanis48663220milanis48663220
提出日時 2021-06-18 21:46:40
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 607 ms / 2,500 ms
コード長 3,108 bytes
コンパイル時間 1,213 ms
コンパイル使用メモリ 115,812 KB
最終ジャッジ日時 2025-01-22 09:08:26
ジャッジサーバーID
（参考情報） 		judge5 / judge5
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ファイルパターン 結果
sample AC * 4
other AC * 20
権限があれば一括ダウンロードができます
コンパイルメッセージ
In constructor ‘ModInt::ModInt(ll)’,
    inlined from ‘mint ave(ll, ll)’ at main.cpp:132:12:
main.cpp:30:26: warning: ‘<unnamed>.ModInt::v’ may be used uninitialized [-Wmaybe-uninitialized]
   30 |         if(_v < 0) _v = (v%MOD)+MOD;
      |                          ^
main.cpp: In function ‘mint ave(ll, ll)’:
main.cpp:132:20: note: ‘<anonymous>’ declared here
  132 |     return mint(l+r)/2;
      |                    ^

ソースコード

diff # 

#include <iostream>
#include <algorithm>
#include <iomanip>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <tuple>
#include <cmath>
#include <numeric>
#include <functional>
#include <cassert>

#define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl;
#define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

using namespace std;
typedef long long ll;


const ll MOD = 998244353;

class ModInt{
    public:
    ll v;
    ModInt(ll _v = 0){
        if(_v < 0) _v = (v%MOD)+MOD;
        if(_v >= MOD) _v %= MOD;
        v = _v;
    }
    ModInt operator+(ll n){
        return ModInt((v+n)%MOD);
    }
    ModInt operator-(ll n){
        return ModInt((v-n+MOD)%MOD);
    }
    ModInt operator*(ll n){
        if(n >= MOD) n %= MOD;
        return ModInt((v*n)%MOD);
    }
    ModInt operator/(ll n){
        return ModInt((ModInt(n).inv()*v).v%MOD);
    }

    void operator+=(ll n){
        v = (v+n)%MOD;
    }
    void operator-=(ll n){
        v = (v-n+MOD)%MOD;
    }
    void operator*=(ll n){
        v = (v*n+MOD)%MOD;
    }
    
    
    ModInt operator+(ModInt n){
        return ModInt((v+n.v)%MOD);
    }
    ModInt operator-(ModInt n){
        return ModInt((v-n.v+MOD)%MOD);
    }
    ModInt operator*(ModInt n){
        return ModInt((v*n.v)%MOD);
    }
    ModInt operator/(ModInt n){
        return ModInt((n.inv()*v).v%MOD);
    }

    void operator+=(ModInt n){
        v = (v+n.v)%MOD;
    }
    void operator-=(ModInt n){
        v = (v-n.v+MOD)%MOD;
    }
    void operator*=(ModInt n){
        v = (v*n.v)%MOD;
    }

    void operator=(ModInt n){
        v = n.v;
    }
    bool operator==(ModInt n){
        return v == n.v;
    }
    bool operator!=(ModInt n){
        return v != n.v;
    }
    void operator=(ll n){
        v = n%MOD;
    }

    ModInt inv(){
        if(v == 1) return ModInt(1);
        else return ModInt(MOD-ModInt(MOD%v).inv().v*(MOD/v)%MOD);
    }
};

ostream& operator<<(ostream& os, const ModInt& m){
    os << m.v;
    return os;
}

istream & operator >> (istream &in,  ModInt &m){
    in >> m.v;
    return in;
}

ModInt pow(ModInt a, ll n) {
    assert(n >= 0);
	ModInt ans = 1;
	ModInt tmp = a;
	for (int i = 0; i <= 60; i++) {
		ll m = (ll)1 << i;
		if (m & n) {
		ans *= tmp;
		}
		tmp *= tmp;
	}
	return ans;
}

using mint = ModInt;
ll sum(ll l, ll r){ // l+ ... + r
    if(l > r) return 0;
    return ((l+r)*(r-l+1))/2;
}

mint ave(ll l, ll r){
    return mint(l+r)/2;
}

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << setprecision(10) << fixed;
    ll n, m; cin >> n >> m;
    mint ans = 0;
    for(int x = 1; x <= m; x++){
        ans += mint(x)*(ave(1, x)*pow(mint(x), n)*n-ave(1, x-1)*pow(mint(x-1), n)*n);
        ans -= mint(x)*(ave(x, m)*pow(mint(m-x+1), n)*n-ave(x+1, m)*pow(mint(m-x), n)*n);
    }
    cout << ans << endl;
}
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