#931264 (C++17) No.2544 Many RMQ Problems

提出ソース

結果

問題	No.2544 Many RMQ Problems
ユーザー	hamath
提出日時	2023-11-24 23:24:39
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	325 ms / 2,000 ms
コード長	8,188 bytes
コンパイル時間	2,916 ms
コンパイル使用メモリ	229,516 KB
実行使用メモリ	11,128 KB
最終ジャッジ日時	2023-11-24 23:24:47
合計ジャッジ時間	7,545 ms
ジャッジサーバーID （参考情報）	judge11 / judge12

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	2 ms 6,676 KB
testcase_01	AC	2 ms 6,676 KB
testcase_02	AC	2 ms 6,676 KB
testcase_03	AC	324 ms 11,128 KB
testcase_04	AC	287 ms 10,224 KB
testcase_05	AC	259 ms 9,544 KB
testcase_06	AC	301 ms 10,524 KB
testcase_07	AC	138 ms 6,676 KB
testcase_08	AC	58 ms 6,676 KB
testcase_09	AC	3 ms 6,676 KB
testcase_10	AC	2 ms 6,676 KB
testcase_11	AC	2 ms 6,676 KB
testcase_12	AC	2 ms 6,676 KB
testcase_13	AC	2 ms 6,676 KB
testcase_14	AC	2 ms 6,676 KB
testcase_15	AC	2 ms 6,676 KB
testcase_16	AC	1 ms 6,676 KB
testcase_17	AC	2 ms 6,676 KB
testcase_18	AC	2 ms 6,676 KB
testcase_19	AC	325 ms 11,128 KB
testcase_20	AC	324 ms 11,128 KB
testcase_21	AC	324 ms 11,128 KB
testcase_22	AC	324 ms 11,128 KB
testcase_23	AC	324 ms 11,128 KB
testcase_24	AC	2 ms 6,676 KB
testcase_25	AC	2 ms 6,676 KB
testcase_26	AC	324 ms 11,128 KB
testcase_27	AC	2 ms 6,676 KB
testcase_28	AC	324 ms 11,128 KB

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ソースコード

raw source code

#ifdef LOCAL
//#define _GLIBCXX_DEBUG
#else
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
//#pragma GCC target("avx512f,avx512dq,avx512cd,avx512bw,avx512vl")
#endif

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair<ll, ll> P;
typedef pair<int, int> Pi;
typedef vector<ll> Vec;
typedef vector<int> Vi;
typedef vector<string> Vs;
typedef vector<char> Vc;
typedef vector<P> VP;
typedef vector<VP> VVP;
typedef vector<Vec> VV;
typedef vector<Vi> VVi;
typedef vector<Vc> VVc;
typedef vector<VV> VVV;
typedef vector<VVV> VVVV;
typedef vector<VVVV> VVVVV;
typedef vector<VVVV> VVVVVV;
#define MAKEVV(variable, a, ...) VV variable(a, Vec(__VA_ARGS__))
#define MAKEVVc(variable, a, ...) VVc variable(a,Vc(__VA_ARGS__))
#define MAKEVVV(variable, a, b, ...) VVV variable(a, VV(b, Vec(__VA_ARGS__)))
#define MAKEVVVV(variable, a, b, c, ...) VVVV variable(a, VVV(b, (VV(c, Vec(__VA_ARGS__)))))
#define MAKEVVVVV(variable, a, b, c, d, ...) VVVVV variable(a, VVVV(b, (VVV(c, VV(d, Vec(__VA_ARGS__))))))
#define MAKEVVVVVV(variable, a, b, c, d, e, ...) VVVVVV variable(a, VVVVV(b, (VVVV(c, VVV(d, VV(e, Vec(__VA_ARGS__)))))))

#define endl '\n'
#define REP(i, a, b) for(ll i=(a); i<(b); i++)
#define PER(i, a, b) for(ll i=(a); i>=(b); i--)
#define rep(i, n) REP(i, 0, n)
#define per(i, n) PER(i, n, 0)
const ll INF = 4'000'000'000'000'000'010LL;
const ll MOD=998244353;
#define Yes(n) cout << ((n) ? "Yes" : "No") << endl;
#define YES(n) cout << ((n) ? "YES" : "NO") << endl;
#define ALL(v) v.begin(), v.end()
#define rALL(v) v.rbegin(), v.rend()
#define pb(x) push_back(x)
#define mp(a, b) make_pair(a,b)
#define Each(a,b) for(auto &a :b)
#define rEach(i, mp) for (auto i = mp.rbegin(); i != mp.rend(); ++i)
#define SUM(a) accumulate(ALL(a),0LL)
#define outminusone(a) cout<< ( a==INF ? -1 : a ) <<endl
#define Uniq(v) v.erase(unique(v.begin(), v.end()), v.end())
#define fi first
#define se second

template<class T, class S>bool chmax(T &a, const S &b) { if (a<b) { a=b; return true; } return false; }
template<class T, class S>bool chmin(T &a, const S &b) { if (b<a) { a=b; return true; } return false; }
template<class T>auto lb(vector<T> &X, T x){return lower_bound(ALL(X),x) - X.begin();}
template<class T>auto ub(vector<T> &X, T x){return upper_bound(ALL(X),x) - X.begin();}
ll popcnt(ll x){return __builtin_popcount(x);}
ll topbit(ll t){return t==0?-1:63-__builtin_clzll(t);}
ll floor(ll y,ll x){assert(x != 0);if(x < 0){y *= -1; x *= -1;}if(y < 0){return (y-x+1)/x;}return y/x;};
ll ceil(ll y, ll x){assert(x != 0);if(x < 0){y *= -1; x *= -1;}if(y < 0){return y/x;}return (y+x-1)/x;};

template<typename T1, typename T2>istream &operator>>(istream &i, pair<T1, T2> &p) { return i>>p.first>>p.second; }
template<typename T>istream& operator>>(istream&i,vector<T>&v){rep(j,v.size())i>>v[j];return i;}
template<typename T1, typename T2>ostream &operator<<(ostream &s, const pair<T1, T2> &p) { return s<<"("<<p.first<<", "<<p.second<<")"; }
template<class T>ostream &operator<<(ostream &os, const vector<T> &v) {bool f = false;for(const auto &d: v) {if(f) os<<" ";f = true;os<<d;}return os;}
template <class T> ostream& operator<<(ostream& os, const set<T>& s) {os << "{";bool f = false;for (auto d : s) {if (f) os << ", ";f = true;os << d;}return os << "}";}
template <class T> ostream& operator<<(ostream& os, const multiset<T>& s) {os << "{";bool f = false;for (auto d : s) {if (f) os << ", ";f = true;os << d;}return os << "}";}
template<class T, class U>ostream &operator<<(ostream &os, const map<T, U> &s) {bool f = false;os<<endl;for(auto p: s) {if(f) os<<endl;f = true;os<<p.first<<": "<<p.second;}return os<<endl;}
void out() { cout << endl; }
template <class Head, class... Tail> void out(const Head &head, const Tail &...tail) {cout << head;if(sizeof...(tail)) cout << ' ';out(tail...);}

#ifdef LOCAL
template<typename T>ostream &operator<<(ostream &s, const vector<vector<T>> &vv) {int len=vv.size();for(int i=0; i<len; ++i) {if(i==0)s<<endl;s<<i<<":"<<vv[i];if(i!=len-1)s<<endl;}return s;}
struct PrettyOS {ostream& os;bool first;template <class T> auto operator<<(T&& x) {if (!first) os << ", ";first = false;os << x;return *this;}};
template <class... T> void dbg0(T&&... t) {(PrettyOS{cerr, true} << ... << t);}
#define dbg(...)do {cerr << #__VA_ARGS__ << ":  ";dbg0(__VA_ARGS__);cerr << endl;} while (false);
#else
#define dbg(...)
#endif

//mint
struct mint {
    ll x; // typedef long long ll;
    mint(ll x=0):x((x%MOD+MOD)%MOD){}
    mint operator-() const { return mint(-x);}
    mint& operator+=(const mint a) {
        if ((x += a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint& operator-=(const mint a) {
        if ((x += MOD-a.x) >= MOD) x -= MOD;
        return *this;
    }
    mint& operator*=(const mint a) { (x *= a.x) %= MOD; return *this;}
    bool operator==(const mint a) const { return x == a.x;}
    mint operator+(const mint a) const { return mint(*this) += a;}
    mint operator-(const mint a) const { return mint(*this) -= a;}
    mint operator*(const mint a) const { return mint(*this) *= a;}
    mint pow(ll n) const {
        mint x = *this, r = 1;
        while (n) {if (n & 1) r *= x;x *= x;n >>= 1;}
        return r;
    }
    // for prime MOD
    mint inv() const { return pow(MOD-2);}
    mint& operator/=(const mint& a) { return *this *= a.inv();}
    mint operator/(const mint a) const { return mint(*this) /= a;}
};
istream& operator>>(istream& is, const mint& a) { return is >> a.x;}
ostream& operator<<(ostream& os, const mint& a) { return os << a.x;}
typedef vector<mint> Vmint;
typedef vector<Vmint> VVmint;
typedef vector<VVmint> VVVmint;
typedef vector<VVVmint> VVVVmint;
typedef vector<VVVVmint> VVVVVmint;
typedef vector<VVVVVmint> VVVVVVmint;
#define MAKEVVmint(variable, a, ...) VVmint variable(a,Vmint(__VA_ARGS__))
#define MAKEVVVmint(variable, a, b, ...) VVVmint variable(a, VVmint(b, Vmint(__VA_ARGS__)))
#define MAKEVVVVmint(variable, a, b, c, ...) VVVVmint variable(a, VVVmint(b, (VVmint(c, Vmint(__VA_ARGS__)))))
#define MAKEVVVVVmint(variable, a, b, c, d,...) VVVVVmint variable(a, VVVVmint(b, (VVVmint(c, VVmint(d, Vmint(__VA_ARGS__))))))
#define MAKEVVVVVVmint(variable, a, b, c, d, e,...) VVVVVVmint variable(a, VVVVVmint(b, (VVVVmint(c, VVVmint(d,VVmint(e, Vmint(__VA_ARGS__)))))))
struct combination {
    vector<mint> fact, ifact;
    combination(ll n):fact(n+1),ifact(n+1) {
        assert(n < MOD);
        fact[0] = 1;
        for (ll i = 1; i <= n; ++i) fact[i] = fact[i-1]*i;
        ifact[n] = fact[n].inv();
        for (ll i = n; i >= 1; --i) ifact[i-1] = ifact[i]*i;
    }
    mint nCr(ll n, ll k){
        if (k < 0 || k > n) return 0;
        return fact[n]*ifact[k]*ifact[n-k];
    }
    mint operator()(ll n, ll k) {
        return nCr(n,k);
    }
    mint nPr(ll n, ll k){
        if (k < 0 || k > n) return 0;
        return fact[n]*ifact[n-k];
    }
    mint nHr(ll n, ll r){
        //n個の要素をr個の区画分ける、0個の区画があってもよい。
        return nCr(n+r-1,r);
    }
};


void simulate(){
    //ll n = 3;
    //ll Q = 3;
    REP(n,2,8){
        Vec p(n);
        iota(ALL(p),1);
        ll ans = 0;
        map<ll,ll>mp;
        do{
            rep(j,n){
                rep(i,j+1){
                    ll mi = INF;
                    REP(k,i,j+1){
                        chmin(mi,p[k]);
                    }
                    //dbg(p,i,j,mi);
                    ans += mi;
                    mp[mi]++;
                }
            }
        }while(next_permutation(ALL(p)));
        dbg(ans);
        dbg(mp);
    }

    exit(0);
}


int solve(){
    ll n;
    cin>>n;
    ll Q;
    cin>>Q;
    mint tmp = 0;
    Vmint fact(n+3);
    fact[0] = 1;
    rep(i,n+2)fact[i+1] = fact[i] * (i+1);
    REP(x,1,n+1){
        tmp += mint(x) * fact[n+2] / (x+2) / (x+1);
    }
    dbg(tmp);
    mint ans = tmp * Q * mint(n * (n+1) / 2).pow(Q-1);
    out(ans);
    return  0;
}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    cout<<std::setprecision(20);
    //simulate();
//    ll T;
//    cin>>T;
//    while(T--)
    solve();
}

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結果

テストケース

ソースコード