結果

問題 No.2926 Botaoshi
コンテスト
ユーザー Slephy
提出日時 2024-10-12 14:56:41
言語 C++23
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 9 ms / 2,000 ms
コード長 9,607 bytes
コンパイル時間 2,869 ms
コンパイル使用メモリ 249,104 KB
実行使用メモリ 6,820 KB
最終ジャッジ日時 2024-10-12 14:56:49
合計ジャッジ時間 4,167 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge3
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 * 4
other AC * 42
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;
using ll = long long;
const int INF = (int)1e9 + 1001010;
const ll llINF = (long long)4e18 + 22000020;
const string endn = "\n";
template <class T> inline auto vector2(size_t i, size_t j, const T &init = T()) {
    return vector(i, vector<T>(j, init));
}
const string ELM_SEP = " ", VEC_SEP = endn;
template <class T> istream &operator>>(istream &i, vector<T> &A) {
    for(auto &I : A) { i >> I; }
    return i;
}
template <class T> ostream &operator<<(ostream &o, const vector<T> &A) {
    int i = A.size();
    for(const auto &I : A) { o << I << (--i ? ELM_SEP : ""); }
    return o;
}
template <class T> ostream &operator<<(ostream &o, const vector<vector<T>> &A) {
    int i = A.size();
    for(const auto &I : A) { o << I << (--i ? VEC_SEP : ""); }
    return o;
}
template <class T> vector<T> &operator++(vector<T> &A, int) {
    for(auto &I : A) { I++; }
    return A;
}
template <class T> vector<T> &operator--(vector<T> &A, int) {
    for(auto &I : A) { I--; }
    return A;
}
template <class T, class U> bool chmax(T &a, const U &b) { return ((a < b) ? (a = b, true) : false); }
template <class T, class U> bool chmin(T &a, const U &b) { return ((a > b) ? (a = b, true) : false); }
ll floor(ll a, ll b) {
    if(b < 0) a = -a, b = -b;
    return (a >= 0) ? a / b : (a + 1) / b - 1;
}
ll ceil(ll a, ll b) {
    if(b < 0) a = -a, b = -b;
    return (a > 0) ? (a - 1) / b + 1 : a / b;
}
ll bit(unsigned long long val, unsigned long long digit) { return (val >> digit) & 1; }
#ifdef DEBUG
#include <cpp-dump/dump.hpp>
#define dump(...) cpp_dump(__VA_ARGS__)
namespace cp = cpp_dump;
struct InitCppDump {
    InitCppDump() {
        if(!isatty(fileno(stderr))) CPP_DUMP_SET_OPTION(es_style, cpp_dump::es_style_t::no_es);
        CPP_DUMP_SET_OPTION(log_label_func, cp::log_label::line());
        CPP_DUMP_SET_OPTION(max_iteration_count, 30);
    }
} init_cpp_dump;
#else
#define dump(...)
#endif
// ==================== ここまでテンプレ ====================

// modint
namespace atcoder {
namespace internal {
constexpr long long safe_mod(long long x, long long m) {
    x %= m;
    if(x < 0) x += m;
    return x;
}
struct barrett {
    unsigned int _m;
    unsigned long long im;
    barrett(unsigned int m) : _m(m), im((unsigned long long)(-1) / m + 1) {}
    unsigned int umod() const { return _m; }
    unsigned int mul(unsigned int a, unsigned int b) const {
        unsigned long long z = a;
        z *= b;
        unsigned long long x = (unsigned long long)(((unsigned __int128)(z)*im) >> 64);
        unsigned int v = (unsigned int)(z - x * _m);
        if(_m <= v) v += _m;
        return v;
    }
};
constexpr long long pow_mod_constexpr(long long x, long long n, int m) {
    if(m == 1) return 0;
    unsigned int _m = (unsigned int)(m);
    unsigned long long r = 1;
    unsigned long long y = safe_mod(x, m);
    while(n) {
        if(n & 1) r = (r * y) % _m;
        y = (y * y) % _m;
        n >>= 1;
    }
    return r;
}
constexpr bool is_prime_constexpr(int n) {
    if(n <= 1) return false;
    if(n == 2 || n == 7 || n == 61) return true;
    if(n % 2 == 0) return false;
    long long d = n - 1;
    while(d % 2 == 0) d /= 2;
    for(long long a : {2, 7, 61}) {
        long long t = d;
        long long y = pow_mod_constexpr(a, t, n);
        while(t != n - 1 && y != 1 && y != n - 1) {
            y = y * y % n;
            t <<= 1;
        }
        if(y != n - 1 && t % 2 == 0) { return false; }
    }
    return true;
}
template <int n> constexpr bool is_prime = is_prime_constexpr(n);
constexpr std::pair<long long, long long> inv_gcd(long long a, long long b) {
    a = safe_mod(a, b);
    if(a == 0) return {b, 0};
    long long s = b, t = a;
    long long m0 = 0, m1 = 1;
    while(t) {
        long long u = s / t;
        s -= t * u;
        m0 -= m1 * u;  // |m1 * u| <= |m1| * s <= b
        auto tmp = s;
        s = t;
        t = tmp;
        tmp = m0;
        m0 = m1;
        m1 = tmp;
    }
    if(m0 < 0) m0 += b / s;
    return {s, m0};
}

template <class T>
using is_signed_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value || std::is_same<T, __int128>::value, std::true_type,
                              std::false_type>::type;
template <class T>
using is_unsigned_int128 =
    typename std::conditional<std::is_same<T, __uint128_t>::value || std::is_same<T, unsigned __int128>::value,
                              std::true_type, std::false_type>::type;
template <class T>
using make_unsigned_int128 =
    typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t, unsigned __int128>;
template <class T>
using is_signed_int =
    typename std::conditional<(is_integral<T>::value && std::is_signed<T>::value) || is_signed_int128<T>::value,
                              std::true_type, std::false_type>::type;
template <class T>
using is_unsigned_int =
    typename std::conditional<(is_integral<T>::value && std::is_unsigned<T>::value) || is_unsigned_int128<T>::value,
                              std::true_type, std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<
    is_signed_int128<T>::value, make_unsigned_int128<T>,
    typename std::conditional<std::is_signed<T>::value, std::make_unsigned<T>, std::common_type<T>>::type>::type;
template <class T> using is_signed_int_t = std::enable_if_t<is_signed_int<T>::value>;
template <class T> using is_unsigned_int_t = std::enable_if_t<is_unsigned_int<T>::value>;
}  // namespace internal
template <int m, std::enable_if_t<(1 <= m)> * = nullptr> struct static_modint {
    using mint = static_modint;

public:
    static constexpr int mod() { return m; }
    static mint raw(int v) {
        mint x;
        x._v = v;
        return x;
    }
    static_modint() : _v(0) {}
    template <class T, internal::is_signed_int_t<T> * = nullptr> static_modint(T v) {
        long long x = (long long)(v % (long long)(umod()));
        if(x < 0) x += umod();
        _v = (unsigned int)(x);
    }
    template <class T, internal::is_unsigned_int_t<T> * = nullptr> static_modint(T v) {
        _v = (unsigned int)(v % umod());
    }
    static_modint(bool v) { _v = ((unsigned int)(v) % umod()); }
    unsigned int val() const { return _v; }
    mint &operator++() {
        _v++;
        if(_v == umod()) _v = 0;
        return *this;
    }
    mint &operator--() {
        if(_v == 0) _v = umod();
        _v--;
        return *this;
    }
    mint operator++(int) {
        mint result = *this;
        ++*this;
        return result;
    }
    mint operator--(int) {
        mint result = *this;
        --*this;
        return result;
    }
    mint &operator+=(const mint &rhs) {
        _v += rhs._v;
        if(_v >= umod()) _v -= umod();
        return *this;
    }
    mint &operator-=(const mint &rhs) {
        _v -= rhs._v;
        if(_v >= umod()) _v += umod();
        return *this;
    }
    mint &operator*=(const mint &rhs) {
        unsigned long long z = _v;
        z *= rhs._v;
        _v = (unsigned int)(z % umod());
        return *this;
    }
    mint &operator/=(const mint &rhs) { return *this = *this * rhs.inv(); }
    mint operator+() const { return *this; }
    mint operator-() const { return mint() - *this; }
    mint pow(long long n) const {
        assert(0 <= n);
        mint x = *this, r = 1;
        while(n) {
            if(n & 1) r *= x;
            x *= x;
            n >>= 1;
        }
        return r;
    }
    mint inv() const {
        if(prime) {
            assert(_v);
            return pow(umod() - 2);
        } else {
            auto eg = internal::inv_gcd(_v, m);
            assert(eg.first == 1);
            return eg.second;
        }
    }
    friend mint operator+(const mint &lhs, const mint &rhs) { return mint(lhs) += rhs; }
    friend mint operator-(const mint &lhs, const mint &rhs) { return mint(lhs) -= rhs; }
    friend mint operator*(const mint &lhs, const mint &rhs) { return mint(lhs) *= rhs; }
    friend mint operator/(const mint &lhs, const mint &rhs) { return mint(lhs) /= rhs; }
    friend bool operator==(const mint &lhs, const mint &rhs) { return lhs._v == rhs._v; }
    friend bool operator!=(const mint &lhs, const mint &rhs) { return lhs._v != rhs._v; }

    friend istream &operator>>(istream &i, mint &a) {
        long long v;
        i >> v;
        a = v;
        return i;
    }
    friend ostream &operator<<(ostream &os, const mint &a) { return os << a.val(); }

private:
    unsigned int _v;
    static constexpr unsigned int umod() { return m; }
    static constexpr bool prime = internal::is_prime<m>;
};

using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
}  // namespace atcoder
using namespace atcoder;
using mint = modint998244353;
// using mint = modint1000000007;

int main(int argc, char *argv[]) {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);

    ll n;
    string s;
    cin >> n >> s;

    vector<mint> dp(3, 0); // (L, R, U)
    dp[2] = 1;
    for(int i = 0; i < n; i++){
        vector<mint> ndp(3, 0);
        if(s[i] == 'L' || s[i] == '.'){
            ndp[0] += dp[0];
            ndp[0] += dp[2];
        }

        if(s[i] == 'R' || s[i] == '.'){
            ndp[1] += dp[0];
            ndp[1] += dp[1];
            ndp[1] += dp[2];
        }

        if(s[i] == 'U' || s[i] == '.'){
            ndp[2] += dp[0];
            ndp[2] += dp[1];
            ndp[2] += dp[2];
        }

        dp = move(ndp);
    }

    mint ans = dp[0] + dp[1] + dp[2];
    cout << ans.val() << endn;
    return 0;
}
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