結果
問題 | No.2524 Stripes |
ユーザー |
|
提出日時 | 2023-10-27 22:39:34 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 902 ms / 7,000 ms |
コード長 | 9,749 bytes |
コンパイル時間 | 2,145 ms |
コンパイル使用メモリ | 207,096 KB |
最終ジャッジ日時 | 2025-02-17 15:29:57 |
ジャッジサーバーID (参考情報) |
judge4 / judge5 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 25 |
ソースコード
#include <bits/stdc++.h>using namespace std;#define rep(i, n) for (int i = 0; i < (n); i++)#define per(i, n) for (int i = (n)-1; i >= 0; i--)#define rep2(i, l, r) for (int i = (l); i < (r); i++)#define per2(i, l, r) for (int i = (r)-1; i >= (l); i--)#define each(e, v) for (auto &e : v)#define MM << " " <<#define pb push_back#define eb emplace_back#define all(x) begin(x), end(x)#define rall(x) rbegin(x), rend(x)#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>;template <typename T>using minheap = priority_queue<T, vector<T>, greater<T>>;template <typename T>using maxheap = priority_queue<T>;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;}template <typename T>int flg(T x, int i) {return (x >> i) & 1;}int pct(int x) { return __builtin_popcount(x); }int pct(ll x) { return __builtin_popcountll(x); }int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); }int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); }int botbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); }int botbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); }template <typename T>void print(const vector<T> &v, T x = 0) {int n = v.size();for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' ');if (v.empty()) cout << '\n';}template <typename T>void printn(const vector<T> &v, T x = 0) {int n = v.size();for (int i = 0; i < n; i++) cout << v[i] + x << '\n';}template <typename T>int lb(const vector<T> &v, T x) {return lower_bound(begin(v), end(v), x) - begin(v);}template <typename T>int ub(const vector<T> &v, T x) {return upper_bound(begin(v), end(v), x) - begin(v);}template <typename T>void rearrange(vector<T> &v) {sort(begin(v), end(v));v.erase(unique(begin(v), end(v)), end(v));}template <typename T>vector<int> id_sort(const vector<T> &v, bool greater = false) {int n = v.size();vector<int> ret(n);iota(begin(ret), end(ret), 0);sort(begin(ret), end(ret), [&](int i, int j) { return greater ? v[i] > v[j] : v[i] < v[j]; });return ret;}template <typename T>void reorder(vector<T> &a, const vector<int> &ord) {int n = a.size();vector<T> b(n);for (int i = 0; i < n; i++) b[i] = a[ord[i]];swap(a, b);}template <typename T>T floor(T x, T y) {assert(y != 0);if (y < 0) x = -x, y = -y;return (x >= 0 ? x / y : (x - y + 1) / y);}template <typename T>T ceil(T x, T y) {assert(y != 0);if (y < 0) x = -x, y = -y;return (x >= 0 ? (x + y - 1) / y : x / y);}template <typename S, typename T>pair<S, T> operator+(const pair<S, T> &p, const pair<S, T> &q) {return make_pair(p.first + q.first, p.second + q.second);}template <typename S, typename T>pair<S, T> operator-(const pair<S, T> &p, const pair<S, T> &q) {return make_pair(p.first - q.first, p.second - q.second);}template <typename S, typename T>istream &operator>>(istream &is, pair<S, T> &p) {S a;T b;is >> a >> b;p = make_pair(a, b);return is;}template <typename S, typename T>ostream &operator<<(ostream &os, const pair<S, T> &p) {return os << p.first << ' ' << p.second;}struct io_setup {io_setup() {ios_base::sync_with_stdio(false);cin.tie(NULL);cout << fixed << setprecision(15);cerr << fixed << setprecision(15);}} io_setup;constexpr int inf = (1 << 30) - 1;constexpr ll INF = (1LL << 60) - 1;// constexpr int MOD = 1000000007;constexpr int MOD = 998244353;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) {}static int get_mod() { return 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 <typename T>struct Number_Theoretic_Transform {static int max_base;static T root;static vector<T> r, ir;Number_Theoretic_Transform() {}static void init() {if (!r.empty()) return;int mod = T::get_mod();int tmp = mod - 1;root = 2;while (root.pow(tmp >> 1) == 1) root++;max_base = 0;while (tmp % 2 == 0) tmp >>= 1, max_base++;r.resize(max_base), ir.resize(max_base);for (int i = 0; i < max_base; i++) {r[i] = -root.pow((mod - 1) >> (i + 2)); // r[i] := 1 の 2^(i+2) 乗根ir[i] = r[i].inverse(); // ir[i] := 1/r[i]}}static void ntt(vector<T> &a) {init();int n = a.size();assert((n & (n - 1)) == 0);assert(n <= (1 << max_base));for (int k = n; k >>= 1;) {T w = 1;for (int s = 0, t = 0; s < n; s += 2 * k) {for (int i = s, j = s + k; i < s + k; i++, j++) {T x = a[i], y = w * a[j];a[i] = x + y, a[j] = x - y;}w *= r[__builtin_ctz(++t)];}}}static void intt(vector<T> &a) {init();int n = a.size();assert((n & (n - 1)) == 0);assert(n <= (1 << max_base));for (int k = 1; k < n; k <<= 1) {T w = 1;for (int s = 0, t = 0; s < n; s += 2 * k) {for (int i = s, j = s + k; i < s + k; i++, j++) {T x = a[i], y = a[j];a[i] = x + y, a[j] = w * (x - y);}w *= ir[__builtin_ctz(++t)];}}T inv = T(n).inverse();for (auto &e : a) e *= inv;}static vector<T> convolve(vector<T> a, vector<T> b) {if (a.empty() || b.empty()) return {};if (min(a.size(), b.size()) < 40) {int n = a.size(), m = b.size();vector<T> c(n + m - 1, 0);for (int i = 0; i < n; i++) {for (int j = 0; j < m; j++) c[i + j] += a[i] * b[j];}return c;}int k = (int)a.size() + (int)b.size() - 1, n = 1;while (n < k) n <<= 1;a.resize(n, 0), b.resize(n, 0);ntt(a), ntt(b);for (int i = 0; i < n; i++) a[i] *= b[i];intt(a), a.resize(k);return a;}};template <typename T>int Number_Theoretic_Transform<T>::max_base = 0;template <typename T>T Number_Theoretic_Transform<T>::root = T();template <typename T>vector<T> Number_Theoretic_Transform<T>::r = vector<T>();template <typename T>vector<T> Number_Theoretic_Transform<T>::ir = vector<T>();using NTT = Number_Theoretic_Transform<mint>;void solve() {int N;string S;cin >> N >> S;auto rec = [&](auto &&rec, int l, int r) -> array<vector<mint>, 4> {if (r - l == 1) {array<vector<mint>, 4> f;rep(i, 4) f[i].resize(2, 0);f[1][0]++;f[2][0]++;if (S[l] == 'R') {f[0][1]++;} else {f[3][1]++;}return f;}int m = (l + r) / 2;auto fl = rec(rec, l, m);auto fr = rec(rec, m, r);array<vector<mint>, 4> f;rep(i, 4) f[i].resize(r - l + 1, 0);rep(i, 4) rep(j, 4) {if (flg(i, 1) == flg(j, 0)) continue;int k = flg(i, 0) | (flg(j, 1) << 1);auto tmp = NTT::convolve(fl[i], fr[j]);rep(x, r - l + 1) f[k][x] += tmp[x];}return f;};vector<mint> ans(N + 1, 0);auto f = rec(rec, 0, N);rep(i, 4) rep(j, N + 1) ans[j] += f[i][j];rep2(i, 1, N + 1) cout << ans[i] << '\n';}int main() {int T = 1;// cin >> T;while (T--) solve();}