結果
問題 | No.2164 Equal Balls |
ユーザー | t33f |
提出日時 | 2022-12-17 12:42:30 |
言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
結果 |
WA
|
実行時間 | - |
コード長 | 5,519 bytes |
コンパイル時間 | 895 ms |
コンパイル使用メモリ | 93,360 KB |
実行使用メモリ | 433,956 KB |
最終ジャッジ日時 | 2024-04-28 07:49:12 |
合計ジャッジ時間 | 106,041 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge1 |
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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 | 362 ms
432,136 KB |
testcase_01 | AC | 368 ms
432,136 KB |
testcase_02 | AC | 404 ms
432,260 KB |
testcase_03 | AC | 369 ms
432,264 KB |
testcase_04 | AC | 394 ms
432,260 KB |
testcase_05 | AC | 408 ms
432,136 KB |
testcase_06 | WA | - |
testcase_07 | AC | 395 ms
432,268 KB |
testcase_08 | AC | 1,666 ms
432,264 KB |
testcase_09 | AC | 1,468 ms
432,396 KB |
testcase_10 | AC | 976 ms
432,268 KB |
testcase_11 | WA | - |
testcase_12 | AC | 1,727 ms
432,136 KB |
testcase_13 | AC | 1,311 ms
432,264 KB |
testcase_14 | AC | 1,557 ms
432,140 KB |
testcase_15 | AC | 2,677 ms
432,264 KB |
testcase_16 | AC | 1,620 ms
432,144 KB |
testcase_17 | AC | 769 ms
432,140 KB |
testcase_18 | AC | 2,088 ms
432,140 KB |
testcase_19 | WA | - |
testcase_20 | WA | - |
testcase_21 | AC | 648 ms
432,268 KB |
testcase_22 | AC | 594 ms
432,140 KB |
testcase_23 | AC | 999 ms
433,112 KB |
testcase_24 | AC | 2,020 ms
432,616 KB |
testcase_25 | AC | 741 ms
433,040 KB |
testcase_26 | WA | - |
testcase_27 | AC | 2,313 ms
432,840 KB |
testcase_28 | AC | 2,309 ms
432,724 KB |
testcase_29 | AC | 939 ms
432,444 KB |
testcase_30 | AC | 1,772 ms
432,752 KB |
testcase_31 | AC | 935 ms
433,368 KB |
testcase_32 | AC | 2,087 ms
432,816 KB |
testcase_33 | AC | 741 ms
432,896 KB |
testcase_34 | AC | 1,075 ms
432,952 KB |
testcase_35 | AC | 442 ms
432,304 KB |
testcase_36 | AC | 2,218 ms
433,580 KB |
testcase_37 | AC | 1,027 ms
433,592 KB |
testcase_38 | WA | - |
testcase_39 | WA | - |
testcase_40 | WA | - |
testcase_41 | WA | - |
testcase_42 | WA | - |
testcase_43 | WA | - |
testcase_44 | WA | - |
testcase_45 | WA | - |
testcase_46 | WA | - |
testcase_47 | WA | - |
testcase_48 | WA | - |
testcase_49 | AC | 993 ms
433,720 KB |
testcase_50 | AC | 1,025 ms
433,792 KB |
testcase_51 | AC | 1,034 ms
433,832 KB |
testcase_52 | AC | 1,043 ms
433,576 KB |
testcase_53 | AC | 1,030 ms
433,704 KB |
ソースコード
#include <array> #include <cstdio> #include <cmath> #include <cassert> #include <vector> #include <iostream> using namespace std; template<int mod> class modint { int val = 0; constexpr static int normalize(long long x) { if (0 <= x and x < mod) return static_cast<int>(x); else { x %= mod; return static_cast<int>(x >= 0 ? x : x + mod); } } public: static const int modulus = mod; modint() {} constexpr modint(long long n) : val(normalize(n)) {} constexpr int value() const { return val; } constexpr modint operator-() const { return modint(mod - val); } constexpr modint inverse() const { long long x = mod, y = val, p = 1, q = 0, r = 0, s = 1; while (y != 0) { long long u = x / y; long long x0 = y; y = x - y * u; x = x0; long long r0 = p - r * u, s0 = q - s * u; p = r; r = r0; q = s; s = s0; } return modint(q); } constexpr const modint pow(long long e) const { if (e < 0) return pow(-e).inverse(); long long ans = 1, p = val; while (e > 0) { if (e % 2 != 0) ans = (ans * p) % mod; p = (p * p) % mod; e >>= 1; } return modint(ans); } constexpr modint &operator+=(const modint r) { val += r.value(); if (val >= mod) val -= mod; return *this; } constexpr modint &operator-=(const modint r) { val -= r.value(); if (val < 0) val += mod; return *this; } constexpr modint &operator*=(const modint r) { val = (long long)val * r.value() % mod; return *this; } constexpr modint &operator/=(const modint r) { if (r.value() == 2) { val = (val % 2 ? val + mod : val) / 2; } else { val = (long long)val * r.inverse().value() % mod; } return *this; } friend constexpr modint operator+(const modint l, const modint r) { const int newval = l.value() + r.value(); return newval >= mod ? newval - mod : newval; } friend constexpr modint operator-(const modint l, const modint r) { return l + (- r); } friend constexpr modint operator*(const modint l, const modint r) { return (long long)l.value() * r.value(); } friend constexpr modint operator/(const modint l, const modint r) { return l * r.inverse(); } friend constexpr bool operator==(const modint l, const modint r) { return l.value() == r.value(); } friend constexpr bool operator!=(const modint l, const modint r) { return l.value() != r.value(); } }; constexpr int M = 998244353; using mint = modint<M>; namespace NTT { template<typename T> constexpr bool is_primitive_root(int i) { constexpr int p = T::modulus; int d = 2, r = p - 1; while ((long long)d * d <= r) { if (r % d == 0) { if (T(i).pow((p - 1) / d).value() == 1) return false; do { r /= d; } while (r % d == 0); } d++; } if (r > 1 and T(i).pow((p - 1) / r).value() == 1) return false; return true; } template<typename T> constexpr T primitive_root() { constexpr int p = T::modulus; for (int i = 2; i < p; i++) if (is_primitive_root<T>(i)) return i; return 0; } template<typename T> void ntt(vector<T> &a, bool inv) { constexpr int p = T::modulus; constexpr T r = primitive_root<T>(); const int n = int(a.size()); assert((p - 1) % n == 0); const int expn = (p - 1) / n * (inv ? -1 : 1); const T zn = r.pow(expn); auto b = a; for (int step = n / 2; step > 0; step /= 2) { const T wn = zn.pow(step); T w = 1; for (int t = 0, tmax = n / step / 2; t < tmax; t++) { for (int offset = 0; offset < step; offset++) { const int i = offset + step * t, j = i + step * t; assert(j + step < n); const T x = a[j], y = w * a[j + step]; b[i] = x + y; b[i + n/2] = x - y; } w *= wn; } if (inv) for (int i = 0; i < n; i++) b[i] /= 2; swap(a, b); } } }; array<array<array<pair<bool, mint>, 301>, 301>, 601> memo; int main() { int n, m; scanf("%d %d", &n, &m); vector<int> a(n), b(n); for (int i = 0; i < n; i++) scanf(" %d", &a[i]); for (int i = 0; i < n; i++) scanf(" %d", &b[i]); vector<mint> q1(1 << 17, 1), q2(1 << 17, 1); array<array<mint, 601>, 601> comb; for (int i = 0; i < 601; ++i) for (int j = 0; j < 601; ++j) if (j == 0) comb[i][j] = 1; else if (i == 0) comb[i][j] = 0; else comb[i][j] = comb[i-1][j] + comb[i-1][j-1]; for (int i = 0; i < m; ++i) { vector<mint> tmp(1 << 17, 0); for (int x = 300 - b[i]; x <= 300 + a[i]; ++x) { if (memo[a[i]][b[i]][x].first) tmp[x] = memo[a[i]][b[i]][x].second; else { mint t = 1; for (int j = i; j < n; j += m) t *= comb[a[j] + b[j]][x - 300 + b[j]]; memo[a[i]][b[i]][x] = {true, t}; tmp[x] = t; } } NTT::ntt(tmp, false); for (int j = 0; j < 1 << 17; ++j) (i < m / 2 ? q1 : q2)[j] *= tmp[j]; } NTT::ntt(q1, true); NTT::ntt(q2, true); const int offset = 300 * m; mint ans = 0; for (int i = 0; i <= offset; ++i) ans += q1[i] * q2[offset - i]; cout << ans.value() << '\n'; }