結果

問題 No.1481 Rotation ABC
ユーザー tokusakuraitokusakurai
提出日時 2021-04-17 12:01:04
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 5 ms / 2,000 ms
コード長 5,774 bytes
コンパイル時間 2,232 ms
コンパイル使用メモリ 215,976 KB
実行使用メモリ 6,944 KB
最終ジャッジ日時 2024-07-03 18:55:35
合計ジャッジ時間 3,451 ms
ジャッジサーバーID
(参考情報)
judge5 / judge4
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
6,812 KB
testcase_01 AC 2 ms
6,940 KB
testcase_02 AC 2 ms
6,940 KB
testcase_03 AC 2 ms
6,940 KB
testcase_04 AC 2 ms
6,944 KB
testcase_05 AC 2 ms
6,944 KB
testcase_06 AC 1 ms
6,940 KB
testcase_07 AC 2 ms
6,944 KB
testcase_08 AC 2 ms
6,940 KB
testcase_09 AC 2 ms
6,944 KB
testcase_10 AC 2 ms
6,944 KB
testcase_11 AC 2 ms
6,940 KB
testcase_12 AC 2 ms
6,940 KB
testcase_13 AC 4 ms
6,944 KB
testcase_14 AC 4 ms
6,940 KB
testcase_15 AC 4 ms
6,944 KB
testcase_16 AC 3 ms
6,940 KB
testcase_17 AC 3 ms
6,940 KB
testcase_18 AC 4 ms
6,944 KB
testcase_19 AC 3 ms
6,944 KB
testcase_20 AC 3 ms
6,940 KB
testcase_21 AC 4 ms
6,944 KB
testcase_22 AC 3 ms
6,944 KB
testcase_23 AC 5 ms
6,940 KB
testcase_24 AC 4 ms
6,944 KB
testcase_25 AC 4 ms
6,940 KB
testcase_26 AC 4 ms
6,940 KB
testcase_27 AC 5 ms
6,940 KB
testcase_28 AC 3 ms
6,944 KB
testcase_29 AC 3 ms
6,940 KB
testcase_30 AC 3 ms
6,940 KB
testcase_31 AC 2 ms
6,940 KB
testcase_32 AC 3 ms
6,944 KB
testcase_33 AC 2 ms
6,944 KB
testcase_34 AC 3 ms
6,940 KB
testcase_35 AC 3 ms
6,944 KB
testcase_36 AC 3 ms
6,940 KB
testcase_37 AC 3 ms
6,940 KB
testcase_38 AC 3 ms
6,940 KB
testcase_39 AC 3 ms
6,940 KB
testcase_40 AC 3 ms
6,940 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 rep(i, n) for(int i = 0; i < n; i++)
#define rep2(i, x, n) for(int i = x; i <= n; i++)
#define rep3(i, x, n) for(int i = x; i >= n; i--)
#define each(e, v) for(auto &e: v)
#define pb push_back
#define eb emplace_back
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define sz(x) (int)x.size()
using ll = long long;
using pii = pair<int, int>;
using pil = pair<int, ll>;
using pli = pair<ll, int>;
using pll = pair<ll, ll>;
//const int MOD = 1000000007;
const int MOD = 998244353;
const int inf = (1<<30)-1;
const ll INF = (1LL<<60)-1;
template<typename T> bool chmax(T &x, const T &y) {return (x < y)? (x = y, true) : false;};
template<typename T> bool chmin(T &x, const T &y) {return (x > y)? (x = y, true) : false;};

struct io_setup{
    io_setup(){
        ios_base::sync_with_stdio(false);
        cin.tie(NULL);
        cout << fixed << setprecision(15);
    }
} io_setup;

template<int mod>
struct Mod_Int{
    int x;

    Mod_Int() : x(0) {}

    Mod_Int(long long y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}

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

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

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

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

    Mod_Int &operator ++ () {return *this += Mod_Int(1);}

    Mod_Int operator ++ (int){
        Mod_Int tmp = *this;
        ++*this;
        return tmp;
    }

    Mod_Int &operator -- () {return *this -= Mod_Int(1);}

    Mod_Int operator -- (int){
        Mod_Int tmp = *this;
        --*this;
        return tmp;
    }

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

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

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

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

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

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

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

    Mod_Int inverse() const{
        assert(*this != Mod_Int(0));
        return pow(mod-2);
    }

    Mod_Int pow(long long k) const{
        Mod_Int now = *this, ret = 1;
        for(; k > 0; k >>= 1, now *= now){
            if(k&1) ret *= now;
        }
        return ret;
    }

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

    friend istream &operator >> (istream &is, Mod_Int &p){
        long long a;
        is >> a;
        p = Mod_Int<mod>(a);
        return is;
    }
};

using mint = Mod_Int<MOD>;

template<int mod>
struct Combination{
    using T = Mod_Int<mod>;
    vector<T> _fac, _ifac;

    Combination(int n){
        _fac.resize(n+1), _ifac.resize(n+1);
        _fac[0] = 1;
        for(int i = 1; i <= n; i++) _fac[i] = _fac[i-1]*i;
        _ifac[n] = _fac[n].inverse();
        for(int i = n; i >= 1; i--) _ifac[i-1] = _ifac[i]*i;
    }

    T fac(int k) const {return _fac[k];}

    T ifac(int k) const {return _ifac[k];}

    T comb(int n, int k) const{
        if(k < 0 || n < k) return 0;
        return fac(n)*ifac(n-k)*ifac(k);
    }

    T comb2(int x, int y) const {return comb(x+y, x);}

    T perm(int n, int k) const{
        if(k < 0 || n < k) return 0;
        return fac(n)*ifac(n-k);
    }

    T second_stirling_number(int n, int k) const{ //n個の区別できる玉を、k個の区別しない箱に、各箱に1個以上玉が入るように入れる場合の数
        T ret = 0;
        for(int i = 0; i <= k; i++){
            T tmp = comb(k, i)*T(i).pow(n);
            ret += ((k-i)&1)? -tmp : tmp;
        }
        return ret*ifac(k);
    }

    T bell_number(int n, int k) const{ //n個の区別できる玉を、k個の区別しない箱に入れる場合の数
        if(n == 0) return 1;
        k = min(k, n);
        vector<T> pref(k+1);
        pref[0] = 1;
        for(int i = 1; i <= k; i++){
            if(i&1) pref[i] = pref[i-1]-ifac(i);
            else pref[i] = pref[i-1]+ifac(i);   
        }
        T ret = 0;
        for(int i = 1; i <= k; i++){
            ret += T(i).pow(n)*ifac(i)*pref[k-i];
        }
        return ret;
    }
};

using comb = Combination<MOD>;

set<string> s;

void dfs(string S){
    int n = sz(S);

    rep(k, n) rep(j, k) rep(i, j){
        string T;
        if(S[i] == 'a' && S[j] == 'b' && S[k] == 'c'){
            T = S;
            T[i] = 'b', T[j] = 'c', T[k] = 'a';
        }
        if(S[i] == 'b' && S[j] == 'c' && S[k] == 'a'){
            T = S;
            T[i] = 'c', T[j] = 'a', T[k] = 'b';
        }
        if(S[i] == 'c' && S[j] == 'a' && S[k] == 'b'){
            T = S;
            T[i] = 'a', T[j] = 'b', T[k] = 'c';
        }

        if(!empty(T)){
            if(!s.count(T)) s.emplace(T), dfs(T);
        }
    }
}

int main(){
    int N; string S; cin >> N >> S;

    vector<vector<int>> ids(3);
    rep(i, N){
        ids[S[i]-'A'].eb(i);
    }

    bool flag = false;
    rep(i, 3){
        int p = 0;
        bool tmp = true;

        rep(j, 3){
            int k = (i+j)%3;
            if(empty(ids[k]) || ids[k].back() < p) {tmp = false; break;}
            p = *lower_bound(all(ids[k]), p);
        }

        if(tmp) flag = true;
    }

    if(!flag) {cout << "1\n"; return 0;}

    comb C(N);

    mint ans = C.fac(N);
    rep(i, 3) ans *= C.ifac(sz(ids[i]));
    ans -= N;

    cout << ans << '\n';
}
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