結果
問題 | No.1195 数え上げを愛したい(文字列編) |
ユーザー | ecottea |
提出日時 | 2022-01-09 03:39:55 |
言語 | C++14 (gcc 12.3.0 + boost 1.83.0) |
結果 |
AC
|
実行時間 | 393 ms / 3,000 ms |
コード長 | 11,941 bytes |
コンパイル時間 | 4,614 ms |
コンパイル使用メモリ | 244,904 KB |
実行使用メモリ | 13,480 KB |
最終ジャッジ日時 | 2024-04-26 19:43:59 |
合計ジャッジ時間 | 10,883 ms |
ジャッジサーバーID (参考情報) |
judge3 / judge5 |
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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 | 392 ms
13,356 KB |
testcase_01 | AC | 391 ms
13,352 KB |
testcase_02 | AC | 393 ms
13,480 KB |
testcase_03 | AC | 38 ms
6,944 KB |
testcase_04 | AC | 47 ms
6,944 KB |
testcase_05 | AC | 15 ms
8,932 KB |
testcase_06 | AC | 2 ms
6,944 KB |
testcase_07 | AC | 2 ms
6,940 KB |
testcase_08 | AC | 64 ms
6,944 KB |
testcase_09 | AC | 375 ms
13,296 KB |
testcase_10 | AC | 208 ms
8,524 KB |
testcase_11 | AC | 339 ms
13,096 KB |
testcase_12 | AC | 323 ms
12,884 KB |
testcase_13 | AC | 272 ms
9,320 KB |
testcase_14 | AC | 180 ms
8,744 KB |
testcase_15 | AC | 201 ms
8,480 KB |
testcase_16 | AC | 178 ms
8,268 KB |
testcase_17 | AC | 68 ms
6,944 KB |
testcase_18 | AC | 321 ms
12,896 KB |
testcase_19 | AC | 318 ms
12,888 KB |
testcase_20 | AC | 270 ms
9,344 KB |
testcase_21 | AC | 339 ms
12,944 KB |
testcase_22 | AC | 255 ms
8,888 KB |
testcase_23 | AC | 2 ms
6,940 KB |
testcase_24 | AC | 2 ms
6,940 KB |
testcase_25 | AC | 2 ms
6,944 KB |
ソースコード
#ifndef HIDDEN_IN_VISUAL_STUDIO // 折りたたみ用 // 警告の抑制 #define _CRT_SECURE_NO_WARNINGS // ライブラリの読み込み #include <bits/stdc++.h> using namespace std; // 型名の短縮 using ll = long long; // -2^63 ~ 2^63 = 9 * 10^18(int は -2^31 ~ 2^31 = 2 * 10^9) using pii = pair<int, int>; using pll = pair<ll, ll>; using pil = pair<int, ll>; using pli = pair<ll, int>; using vi = vector<int>; using vvi = vector<vi>; using vvvi = vector<vvi>; using vl = vector<ll>; using vvl = vector<vl>; using vvvl = vector<vvl>; using vb = vector<bool>; using vvb = vector<vb>; using vvvb = vector<vvb>; using vc = vector<char>; using vvc = vector<vc>; using vvvc = vector<vvc>; using vd = vector<double>; using vvd = vector<vd>; using vvvd = vector<vvd>; template <class T> using priority_queue_rev = priority_queue<T, vector<T>, greater<T>>; using Graph = vvi; // 定数の定義 const double PI = 3.14159265359; const double DEG = PI / 180.; // θ [deg] = θ * DEG [rad] const vi dx4 = { 1, 0, -1, 0 }; // 4 近傍(下,右,上,左) const vi dy4 = { 0, 1, 0, -1 }; const vi dx8 = { 1, 1, 0, -1, -1, -1, 0, 1 }; // 8 近傍 const vi dy8 = { 0, 1, 1, 1, 0, -1, -1, -1 }; const int INF = 1001001001; const ll INFL = 2002002002002002002LL; const double EPS = 1e-10; // 許容誤差に応じて調整 // 入出力高速化 struct fast_io { fast_io() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } fastIOtmp; // 汎用マクロの定義 #define all(a) (a).begin(), (a).end() #define sz(x) ((int)(x).size()) #define distance (int)distance #define Yes(b) {cout << ((b) ? "Yes" : "No") << endl;} #define rep(i, n) for(int i = 0, i##_len = int(n); i < i##_len; ++i) // 0 から n-1 まで昇順 #define repi(i, s, t) for(int i = int(s), i##_end = int(t); i <= i##_end; ++i) // s から t まで昇順 #define repir(i, s, t) for(int i = int(s), i##_end = int(t); i >= i##_end; --i) // s から t まで降順 #define repe(v, a) for(const auto& v : (a)) // a の全要素(変更不可能) #define repea(v, a) for(auto& v : (a)) // a の全要素(変更可能) #define repb(set, d) for(int set = 0; set < (1 << int(d)); ++set) // d ビット全探索(昇順) #define repp(a) sort(all(a)); for(bool a##_perm = true; a##_perm; a##_perm = next_permutation(all(a))) // a の順列全て(昇順) #define repit(it, a) for(auto it = (a).begin(); it != (a).end(); ++it) // イテレータを回す(昇順) #define repitr(it, a) for(auto it = (a).rbegin(); it != (a).rend(); ++it) // イテレータを回す(降順) #define smod(n, m) ((((n) % (m)) + (m)) % (m)) // 非負mod #define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去 // 汎用関数の定義 template <class T> inline ll pow(T n, int k) { ll v = 1; rep(i, k) v *= n; return v; } template <class T> inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新(更新されたら true を返す) template <class T> inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新(更新されたら true を返す) // 演算子オーバーロード template <class T, class U> inline istream& operator>> (istream& is, pair<T, U>& p) { is >> p.first >> p.second; return is; } template <class T, class U> inline ostream& operator<< (ostream& os, const pair<T, U>& p) { os << "(" << p.first << "," << p.second << ")"; return os; } template <class T, class U, class V> inline istream& operator>> (istream& is, tuple<T, U, V>& t) { is >> get<0>(t) >> get<1>(t) >> get<2>(t); return is; } template <class T, class U, class V> inline ostream& operator<< (ostream& os, const tuple<T, U, V>& t) { os << "(" << get<0>(t) << "," << get<1>(t) << "," << get<2>(t) << ")"; return os; } template <class T, class U, class V, class W> inline istream& operator>> (istream& is, tuple<T, U, V, W>& t) { is >> get<0>(t) >> get<1>(t) >> get<2>(t) >> get<3>(t); return is; } template <class T, class U, class V, class W> inline ostream& operator<< (ostream& os, const tuple<T, U, V, W>& t) { os << "(" << get<0>(t) << "," << get<1>(t) << "," << get<2>(t) << "," << get<3>(t) << ")"; return os; } template <class T> inline istream& operator>> (istream& is, vector<T>& v) { repea(x, v) is >> x; return is; } template <class T> inline ostream& operator<< (ostream& os, const vector<T>& v) { repe(x, v) os << x << " "; return os; } template <class T> inline ostream& operator<< (ostream& os, const list<T>& v) { repe(x, v) os << x << " "; return os; } template <class T> inline ostream& operator<< (ostream& os, const set<T>& s) { repe(x, s) os << x << " "; return os; } template <class T> inline ostream& operator<< (ostream& os, const set<T, greater<T>>& s) { repe(x, s) os << x << " "; return os; } template <class T> inline ostream& operator<< (ostream& os, const unordered_set<T>& s) { repe(x, s) os << x << " "; return os; } template <class T, class U> inline ostream& operator<< (ostream& os, const map<T, U>& m) { repe(p, m) os << p << " "; return os; } template <class T, class U> inline ostream& operator<< (ostream& os, const unordered_map<T, U>& m) { repe(p, m) os << p << " "; return os; } template <class T> inline ostream& operator<< (ostream& os, stack<T> s) { while (!s.empty()) { os << s.top() << " "; s.pop(); } return os; } template <class T> inline ostream& operator<< (ostream& os, queue<T> q) { while (!q.empty()) { os << q.front() << " "; q.pop(); } return os; } template <class T> inline ostream& operator<< (ostream& os, deque<T> q) { while (!q.empty()) { os << q.front() << " "; q.pop_front(); } return os; } template <class T> inline ostream& operator<< (ostream& os, priority_queue<T> q) { while (!q.empty()) { os << q.top() << " "; q.pop(); } return os; } template <class T> inline ostream& operator<< (ostream& os, priority_queue_rev<T> q) { while (!q.empty()) { os << q.top() << " "; q.pop(); } return os; } template <class T> inline vector<T>& operator--(vector<T>& v) { rep(_i_, sz(v)) --v[_i_]; return v; } template <class T> inline vector<T>& operator++(vector<T>& v) { rep(_i_, sz(v)) ++v[_i_]; return v; } // 手元環境(Visual Studio) #ifdef _MSC_VER #define popcount (int)__popcnt // 全ビット中の 1 の個数 #define popcountll (int)__popcnt64 inline int lsb(unsigned int n) { unsigned long i; _BitScanForward(&i, n); return i; } // 最下位ビットの位置(0-indexed) inline int lsbll(unsigned long long n) { unsigned long i; _BitScanForward64(&i, n); return i; } inline int msb(unsigned int n) { unsigned long i; _BitScanReverse(&i, n); return i; } // 最上位ビットの位置(0-indexed) inline int msbll(unsigned long long n) { unsigned long i; _BitScanReverse64(&i, n); return i; } template <class T> T gcd(T a, T b) { return b ? gcd(b, a % b) : a; } #define dump(x) cout << "\033[1;36m" << (x) << "\033[0m" << endl; #define dumps(x) cout << "\033[1;36m" << (x) << "\033[0m "; #define dumpel(a) { int _i_ = -1; cout << "\033[1;36m"; repe(x, a) {cout << ++_i_ << ": " << x << endl;} cout << "\033[0m"; } #define input_from_file(f) ifstream isTMP(f); cin.rdbuf(isTMP.rdbuf()); #define output_to_file(f) ofstream osTMP(f); cout.rdbuf(osTMP.rdbuf()); // 提出用(gcc) #else #define popcount (int)__builtin_popcount #define popcountll (int)__builtin_popcountll #define lsb __builtin_ctz #define lsbll __builtin_ctzll #define msb(n) (31 - __builtin_clz(n)) #define msbll(n) (63 - __builtin_clzll(n)) #define gcd __gcd #define dump(x) #define dumps(x) #define dumpel(v) #define input_from_file(f) #define output_to_file(f) #endif #endif // 折りたたみ用 //-----------------AtCoder 専用----------------- #include <atcoder/all> using namespace atcoder; //using mint = modint1000000007; using mint = modint998244353; //using mint = modint; // mint::set_mod(m); template <class S, S(*op)(S, S), S(*e)()>ostream& operator<<(ostream& os, segtree<S, op, e> seg) { int n = seg.max_right(0, [](S x) {return true; }); rep(i, n) os << seg.get(i) << " "; return os; } template <class S, S(*op)(S, S), S(*e)(), class F, S(*mp)(F, S), F(*cp)(F, F), F(*id)()>ostream& operator<<(ostream& os, lazy_segtree<S, op, e, F, mp, cp, id> seg) { int n = seg.max_right(0, [](S x) {return true; }); rep(i, n) os << seg.get(i) << " "; return os; } istream& operator>> (istream& is, mint& x) { ll x_; is >> x_; x = x_; return is; } ostream& operator<< (ostream& os, const mint& x) { os << x.val(); return os; } using vm = vector<mint>; using vvm = vector<vm>; using vvvm = vector<vvm>; //---------------------------------------------- //【階乗と二項係数(mint利用)】 /* * 十分大きな素数を法として,階乗,その逆数,二項係数を計算する. * * Factorial_mint(n) : O(n) * n! までの階乗とその逆数を前計算する. * * fac(n) : O(1) * n! を返す. * * fac_inv(n) : O(1) * 1 / n! を返す. * * inv(n) : O(1) * 1 / n を返す. * * permutation(n, r) : O(1) * 順列の数 nPr を返す. * * binomial(n, r) : O(1) * 二項係数 nCr を返す. * * multinomial(r) : O(|r|) * 多項係数 nC[r] を返す.(n = Σr) */ struct Factorial_mint { // 階乗,階乗の逆数,逆数の値を保持するテーブル int n_; vm fac_, fac_inv_, inv_; // n! までの階乗とその逆数を前計算しておく.O(n) Factorial_mint(int n) : n_(n) { fac_ = vm(n + 1); fac_[0] = 1; repi(i, 1, n) fac_[i] = fac_[i - 1] * i; fac_inv_ = vm(n + 1); fac_inv_[n] = fac_[n].inv(); repir(i, n - 1, 1) fac_inv_[i] = fac_inv_[i + 1] * (i + 1); fac_inv_[0] = 1; inv_ = vm(n + 1); repi(i, 1, n) inv_[i] = fac_[i - 1] * fac_inv_[i]; } // n! を返す.O(1) mint fac(int n) const { assert(n <= n_); return fac_[n]; } // 1 / n! を返す.O(1) mint fac_inv(int n) const { assert(n <= n_); return fac_inv_[n]; } // 1 / n を返す.O(1) mint inv(int n) const { assert(n != 0 && n <= n_); return inv_[n]; } // 順列の数 nPr を返す.O(1) mint permutation(int n, int r) const { assert(n <= n_); if (r < 0 || n - r < 0) return 0; return fac_[n] * fac_inv_[n - r]; } // 二項係数 nCr を返す.O(1) mint binomial(int n, int r) const { assert(n <= n_); if (r < 0 || n - r < 0) return 0; return fac_[n] * fac_inv_[r] * fac_inv_[n - r]; } // 多項係数 nC[r] を返す.O(|r|) mint multinomial(const vi& r) const { int n = accumulate(all(r), 0); assert(n <= n_); mint res = fac_[n]; repe(ri, r) res *= fac_inv_[ri]; return res; } }; void TLE(const string& s) { int n = sz(s); unordered_map<char, int> cnt; rep(i, n) { cnt[s[i]]++; } Factorial_mint fm(n); vvm dp(27, vm(n + 1)); dp[0][0] = 1; rep(i, 26) { repi(j, 0, n) { int k_max = cnt['a' + i]; repi(k, 0, k_max) { if (j + k >= n + 1) break; dp[i + 1][j + k] += dp[i][j] * fm.binomial(j + k, j); } } } dumpel(dp); mint res = accumulate(all(dp[26]), mint(0)); res--; cout << res << endl; } void TLE2(const string& s) { int n = sz(s); unordered_map<char, int> cnt; rep(i, n) cnt[s[i]]++; Factorial_mint fm(n); vvm dp(27, vm(n + 1)); dp[0][0] = 1; rep(i, 26) { int c = cnt['a' + i]; repi(m, 0, n) { repi(j, max(m - c, 0), m) { dp[i + 1][m] += dp[i][j] * fm.binomial(m, j); } } } dumpel(dp); mint res = accumulate(all(dp[26]), mint(0)); res--; cout << res << endl; } int main() { // input_from_file("input.txt"); // output_to_file("output.txt"); string s; cin >> s; // TLE(s); // TLE2(s); int n = sz(s); unordered_map<char, int> cnt; rep(i, n) cnt[s[i]]++; Factorial_mint fm(n); vm dp = { 1 }; dump(dp); repe(p, cnt) { int m = p.second; vm c(m + 1); repi(i, 0, m) c[i] = fm.fac_inv(i); dump(c); dp = convolution(dp, c); dump(dp); } mint res = 0; repi(i, 0, n) { res += dp[i] * fm.fac(i); } res--; cout << res << endl; }