結果
| 問題 | No.2383 Naphthol |
| ユーザー |
 gyouzasushi
|
| 提出日時 | 2023-07-14 22:43:50 |
| 言語 | C++17 (gcc 12.3.0 + boost 1.83.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 28,338 bytes |
| コンパイル時間 | 2,726 ms |
| コンパイル使用メモリ | 228,524 KB |
| 実行使用メモリ | 7,160 KB |
| 最終ジャッジ日時 | 2024-09-16 07:47:40 |
| 合計ジャッジ時間 | 3,548 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge3 |
（要ログイン）
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
5,248 KB |
| testcase_01 | AC | 2 ms
5,376 KB |
| testcase_02 | AC | 3 ms
5,376 KB |
| testcase_03 | WA | - |
| testcase_04 | WA | - |
| testcase_05 | WA | - |
| testcase_06 | WA | - |
| testcase_07 | WA | - |
| testcase_08 | AC | 2 ms
5,376 KB |
| testcase_09 | AC | 10 ms
7,160 KB |
| testcase_10 | AC | 11 ms
7,152 KB |
| testcase_11 | AC | 5 ms
5,376 KB |
| testcase_12 | AC | 7 ms
5,736 KB |
| testcase_13 | AC | 6 ms
5,500 KB |
| testcase_14 | AC | 8 ms
5,892 KB |
| testcase_15 | AC | 5 ms
5,376 KB |
| testcase_16 | AC | 7 ms
5,680 KB |
| testcase_17 | AC | 2 ms
5,376 KB |
| testcase_18 | AC | 8 ms
5,976 KB |
| testcase_19 | AC | 8 ms
6,024 KB |
| testcase_20 | AC | 8 ms
6,244 KB |
ソースコード
#line 1 "main.cpp"
#include <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define rrep(i, n) for (int i = (int)(n - 1); i >= 0; i--)
#define all(x) (x).begin(), (x).end()
#define sz(x) int(x.size())
using namespace std;
using ll = long long;
constexpr int INF = 1e9;
constexpr ll LINF = 1e18;
string YesNo(bool cond) {
return cond ? "Yes" : "No";
}
string YESNO(bool cond) {
return cond ? "YES" : "NO";
}
template <class T>
bool chmax(T& a, const T& b) {
if (a < b) {
a = b;
return true;
}
return false;
}
template <class T>
bool chmin(T& a, const T& b) {
if (b < a) {
a = b;
return true;
}
return false;
}
template <typename T, class F>
T bisect(T ok, T ng, const F& f) {
while (abs(ok - ng) > 1) {
T mid = min(ok, ng) + (abs(ok - ng) >> 1);
(f(mid) ? ok : ng) = mid;
}
return ok;
}
template <typename T, class F>
T bisect_double(T ok, T ng, const F& f, int iter = 100) {
while (iter--) {
T mid = (ok + ng) / 2;
(f(mid) ? ok : ng) = mid;
}
return ok;
}
template <class T>
vector<T> make_vec(size_t a) {
return vector<T>(a);
}
template <class T, class... Ts>
auto make_vec(size_t a, Ts... ts) {
return vector<decltype(make_vec<T>(ts...))>(a, make_vec<T>(ts...));
}
template <typename T>
istream& operator>>(istream& is, vector<T>& v) {
for (int i = 0; i < int(v.size()); i++) {
is >> v[i];
}
return is;
}
template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v) {
for (int i = 0; i < int(v.size()); i++) {
os << v[i];
if (i < sz(v) - 1) os << ' ';
}
return os;
}
#line 1 "/Users/gyouzasushi/kyopro/library/atcoder/modint.hpp"
#line 6 "/Users/gyouzasushi/kyopro/library/atcoder/modint.hpp"
#include <type_traits>
#ifdef _MSC_VER
#include <intrin.h>
#endif
#line 1 "/Users/gyouzasushi/kyopro/library/atcoder/internal_math.hpp"
#line 5 "/Users/gyouzasushi/kyopro/library/atcoder/internal_math.hpp"
#ifdef _MSC_VER
#include <intrin.h>
#endif
namespace atcoder {
namespace internal {
// @param m `1 <= m`
// @return x mod m
constexpr long long safe_mod(long long x, long long m) {
x %= m;
if (x < 0) x += m;
return x;
}
// Fast modular multiplication by barrett reduction
// Reference: https://en.wikipedia.org/wiki/Barrett_reduction
// NOTE: reconsider after Ice Lake
struct barrett {
unsigned int _m;
unsigned long long im;
// @param m `1 <= m < 2^31`
explicit barrett(unsigned int m)
: _m(m), im((unsigned long long)(-1) / m + 1) {
}
// @return m
unsigned int umod() const {
return _m;
}
// @param a `0 <= a < m`
// @param b `0 <= b < m`
// @return `a * b % m`
unsigned int mul(unsigned int a, unsigned int b) const {
// [1] m = 1
// a = b = im = 0, so okay
// [2] m >= 2
// im = ceil(2^64 / m)
// -> im * m = 2^64 + r (0 <= r < m)
// let z = a*b = c*m + d (0 <= c, d < m)
// a*b * im = (c*m + d) * im = c*(im*m) + d*im = c*2^64 + c*r + d*im
// c*r + d*im < m * m + m * im < m * m + 2^64 + m <= 2^64 + m * (m + 1)
// < 2^64 * 2
// ((ab * im) >> 64) == c or c + 1
unsigned long long z = a;
z *= b;
#ifdef _MSC_VER
unsigned long long x;
_umul128(z, im, &x);
#else
unsigned long long x =
(unsigned long long)(((unsigned __int128)(z)*im) >> 64);
#endif
unsigned int v = (unsigned int)(z - x * _m);
if (_m <= v) v += _m;
return v;
}
};
// @param n `0 <= n`
// @param m `1 <= m`
// @return `(x ** n) % m`
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;
}
// Reference:
// M. Forisek and J. Jancina,
// Fast Primality Testing for Integers That Fit into a Machine Word
// @param n `0 <= n`
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;
constexpr long long bases[3] = {2, 7, 61};
for (long long a : bases) {
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);
// @param b `1 <= b`
// @return pair(g, x) s.t. g = gcd(a, b), xa = g (mod b), 0 <= x < b/g
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};
// Contracts:
// [1] s - m0 * a = 0 (mod b)
// [2] t - m1 * a = 0 (mod b)
// [3] s * |m1| + t * |m0| <= b
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
// [3]:
// (s - t * u) * |m1| + t * |m0 - m1 * u|
// <= s * |m1| - t * u * |m1| + t * (|m0| + |m1| * u)
// = s * |m1| + t * |m0| <= b
auto tmp = s;
s = t;
t = tmp;
tmp = m0;
m0 = m1;
m1 = tmp;
}
// by [3]: |m0| <= b/g
// by g != b: |m0| < b/g
if (m0 < 0) m0 += b / s;
return {s, m0};
}
// Compile time primitive root
// @param m must be prime
// @return primitive root (and minimum in now)
constexpr int primitive_root_constexpr(int m) {
if (m == 2) return 1;
if (m == 167772161) return 3;
if (m == 469762049) return 3;
if (m == 754974721) return 11;
if (m == 998244353) return 3;
int divs[20] = {};
divs[0] = 2;
int cnt = 1;
int x = (m - 1) / 2;
while (x % 2 == 0) x /= 2;
for (int i = 3; (long long)(i)*i <= x; i += 2) {
if (x % i == 0) {
divs[cnt++] = i;
while (x % i == 0) {
x /= i;
}
}
}
if (x > 1) {
divs[cnt++] = x;
}
for (int g = 2;; g++) {
bool ok = true;
for (int i = 0; i < cnt; i++) {
if (pow_mod_constexpr(g, (m - 1) / divs[i], m) == 1) {
ok = false;
break;
}
}
if (ok) return g;
}
}
template <int m>
constexpr int primitive_root = primitive_root_constexpr(m);
// @param n `n < 2^32`
// @param m `1 <= m < 2^32`
// @return sum_{i=0}^{n-1} floor((ai + b) / m) (mod 2^64)
unsigned long long floor_sum_unsigned(unsigned long long n,
unsigned long long m,
unsigned long long a,
unsigned long long b) {
unsigned long long ans = 0;
while (true) {
if (a >= m) {
ans += n * (n - 1) / 2 * (a / m);
a %= m;
}
if (b >= m) {
ans += n * (b / m);
b %= m;
}
unsigned long long y_max = a * n + b;
if (y_max < m) break;
// y_max < m * (n + 1)
// floor(y_max / m) <= n
n = (unsigned long long)(y_max / m);
b = (unsigned long long)(y_max % m);
std::swap(m, a);
}
return ans;
}
} // namespace internal
} // namespace atcoder
#line 1 "/Users/gyouzasushi/kyopro/library/atcoder/internal_type_traits.hpp"
#line 7 "/Users/gyouzasushi/kyopro/library/atcoder/internal_type_traits.hpp"
namespace atcoder {
namespace internal {
#ifndef _MSC_VER
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_integral = typename std::conditional<std::is_integral<T>::value ||
is_signed_int128<T>::value ||
is_unsigned_int128<T>::value,
std::true_type,
std::false_type>::type;
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;
#else
template <class T> using is_integral = typename std::is_integral<T>;
template <class T>
using is_signed_int =
typename std::conditional<is_integral<T>::value && std::is_signed<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,
std::true_type,
std::false_type>::type;
template <class T>
using to_unsigned = typename std::conditional<is_signed_int<T>::value,
std::make_unsigned<T>,
std::common_type<T>>::type;
#endif
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>;
template <class T> using to_unsigned_t = typename to_unsigned<T>::type;
} // namespace internal
} // namespace atcoder
#line 14 "/Users/gyouzasushi/kyopro/library/atcoder/modint.hpp"
namespace atcoder {
namespace internal {
struct modint_base {};
struct static_modint_base : modint_base {};
template <class T>
using is_modint = std::is_base_of<modint_base, T>;
template <class T>
using is_modint_t = std::enable_if_t<is_modint<T>::value>;
} // namespace internal
template <int m, std::enable_if_t<(1 <= m)>* = nullptr>
struct static_modint : internal::static_modint_base {
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());
}
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;
}
private:
unsigned int _v;
static constexpr unsigned int umod() {
return m;
}
static constexpr bool prime = internal::is_prime<m>;
};
template <int id>
struct dynamic_modint : internal::modint_base {
using mint = dynamic_modint;
public:
static int mod() {
return (int)(bt.umod());
}
static void set_mod(int m) {
assert(1 <= m);
bt = internal::barrett(m);
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
dynamic_modint() : _v(0) {
}
template <class T, internal::is_signed_int_t<T>* = nullptr>
dynamic_modint(T v) {
long long x = (long long)(v % (long long)(mod()));
if (x < 0) x += mod();
_v = (unsigned int)(x);
}
template <class T, internal::is_unsigned_int_t<T>* = nullptr>
dynamic_modint(T v) {
_v = (unsigned int)(v % mod());
}
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 += mod() - rhs._v;
if (_v >= umod()) _v -= umod();
return *this;
}
mint& operator*=(const mint& rhs) {
_v = bt.mul(_v, rhs._v);
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 {
auto eg = internal::inv_gcd(_v, mod());
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;
}
private:
unsigned int _v;
static internal::barrett bt;
static unsigned int umod() {
return bt.umod();
}
};
template <int id>
internal::barrett dynamic_modint<id>::bt(998244353);
using modint998244353 = static_modint<998244353>;
using modint1000000007 = static_modint<1000000007>;
using modint = dynamic_modint<-1>;
namespace internal {
template <class T>
using is_static_modint = std::is_base_of<internal::static_modint_base, T>;
template <class T>
using is_static_modint_t = std::enable_if_t<is_static_modint<T>::value>;
template <class>
struct is_dynamic_modint : public std::false_type {};
template <int id>
struct is_dynamic_modint<dynamic_modint<id>> : public std::true_type {};
template <class T>
using is_dynamic_modint_t = std::enable_if_t<is_dynamic_modint<T>::value>;
} // namespace internal
} // namespace atcoder
#line 72 "main.cpp"
using mint = atcoder::modint998244353;
#line 3 "/Users/gyouzasushi/kyopro/library/math/binomial_coefficient.hpp"
template <typename mint>
struct factorial_table {
static mint val(int i) {
ensure(i);
return facts[i];
}
static mint inv(int i) {
ensure(i);
return ifacts[i];
}
static void ensure(int n) {
int sz = facts.size();
if (sz > n) return;
if (n < sz << 1) n = sz << 1;
facts.resize(n + 1);
ifacts.resize(n + 1);
for (int i = sz; i <= n; i++) facts[i] = facts[i - 1] * i;
ifacts[n] = facts[n].inv();
for (int i = n; i >= sz; i--) ifacts[i - 1] = ifacts[i] * i;
}
private:
static inline std::vector<mint> facts{1};
static inline std::vector<mint> ifacts{1};
};
template <typename mint>
struct binomial_coefficient {
using facts = factorial_table<mint>;
static mint C(int n, int k) {
if (n < 0 || n < k || k < 0) return 0;
return facts::val(n) * facts::inv(n - k) * facts::inv(k);
}
static mint P(int n, int k) {
if (n < 0 || n < k || k < 0) return 0;
return facts::val(n) * facts::inv(n - k);
}
static mint H(int n, int k) {
if (n < 0 || k < 0) return 0;
if (k == 0) return 1;
return C(n + k - 1, k);
}
};
#line 1 "/Users/gyouzasushi/kyopro/library/atcoder/math.hpp"
#line 8 "/Users/gyouzasushi/kyopro/library/atcoder/math.hpp"
#line 10 "/Users/gyouzasushi/kyopro/library/atcoder/math.hpp"
namespace atcoder {
long long pow_mod(long long x, long long n, int m) {
assert(0 <= n && 1 <= m);
if (m == 1) return 0;
internal::barrett bt((unsigned int)(m));
unsigned int r = 1, y = (unsigned int)(internal::safe_mod(x, m));
while (n) {
if (n & 1) r = bt.mul(r, y);
y = bt.mul(y, y);
n >>= 1;
}
return r;
}
long long inv_mod(long long x, long long m) {
assert(1 <= m);
auto z = internal::inv_gcd(x, m);
assert(z.first == 1);
return z.second;
}
// (rem, mod)
std::pair<long long, long long> crt(const std::vector<long long>& r,
const std::vector<long long>& m) {
assert(r.size() == m.size());
int n = int(r.size());
// Contracts: 0 <= r0 < m0
long long r0 = 0, m0 = 1;
for (int i = 0; i < n; i++) {
assert(1 <= m[i]);
long long r1 = internal::safe_mod(r[i], m[i]), m1 = m[i];
if (m0 < m1) {
std::swap(r0, r1);
std::swap(m0, m1);
}
if (m0 % m1 == 0) {
if (r0 % m1 != r1) return {0, 0};
continue;
}
// assume: m0 > m1, lcm(m0, m1) >= 2 * max(m0, m1)
// (r0, m0), (r1, m1) -> (r2, m2 = lcm(m0, m1));
// r2 % m0 = r0
// r2 % m1 = r1
// -> (r0 + x*m0) % m1 = r1
// -> x*u0*g = r1-r0 (mod u1*g) (u0*g = m0, u1*g = m1)
// -> x = (r1 - r0) / g * inv(u0) (mod u1)
// im = inv(u0) (mod u1) (0 <= im < u1)
long long g, im;
std::tie(g, im) = internal::inv_gcd(m0, m1);
long long u1 = (m1 / g);
// |r1 - r0| < (m0 + m1) <= lcm(m0, m1)
if ((r1 - r0) % g) return {0, 0};
// u1 * u1 <= m1 * m1 / g / g <= m0 * m1 / g = lcm(m0, m1)
long long x = (r1 - r0) / g % u1 * im % u1;
// |r0| + |m0 * x|
// < m0 + m0 * (u1 - 1)
// = m0 + m0 * m1 / g - m0
// = lcm(m0, m1)
r0 += x * m0;
m0 *= u1; // -> lcm(m0, m1)
if (r0 < 0) r0 += m0;
}
return {r0, m0};
}
long long floor_sum(long long n, long long m, long long a, long long b) {
assert(0 <= n && n < (1LL << 32));
assert(1 <= m && m < (1LL << 32));
unsigned long long ans = 0;
if (a < 0) {
unsigned long long a2 = internal::safe_mod(a, m);
ans -= 1ULL * n * (n - 1) / 2 * ((a2 - a) / m);
a = a2;
}
if (b < 0) {
unsigned long long b2 = internal::safe_mod(b, m);
ans -= 1ULL * n * ((b2 - b) / m);
b = b2;
}
return ans + internal::floor_sum_unsigned(n, m, a, b);
}
} // namespace atcoder
#line 4 "/Users/gyouzasushi/kyopro/library/math/factorize.hpp"
long long modmul(long long x, long long y, long long mod) {
using i128 = __int128_t;
return (long long)(i128(x) * i128(y) % i128(mod));
}
long long modpow(long long a, long long n, long long mod) {
long long ret = 1;
while (n > 0) {
if (n & 1) ret = modmul(ret, a, mod);
a = modmul(a, a, mod);
n >>= 1;
}
return ret;
}
long long rho(long long n) {
long long z = 0;
auto f = [&](long long x) -> long long {
long long ret = modmul(x, x, n) + z;
if (ret == n) return 0;
return ret;
};
while (true) {
long long x = ++z;
long long y = f(x);
while (true) {
long long d = std::gcd(std::abs(x - y), n);
if (d == n) break;
if (d > 1) return d;
x = f(x);
y = f(f(y));
}
}
}
#include <initializer_list>
bool miller_rabin(long long n) {
if (n == 1) return 0;
long long d = n - 1, s = 0;
while (~d & 1) d >>= 1, s++;
auto check = [&](long long a) -> bool {
long long x = modpow(a, d, n);
if (x == 1) return 1;
long long y = n - 1;
for (int i = 0; i < s; i++) {
if (x == y) return true;
x = modmul(x, x, n);
}
return false;
};
for (long long a : {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37}) {
if (a >= n) break;
if (!check(a)) return false;
}
return true;
}
#line 59 "/Users/gyouzasushi/kyopro/library/math/factorize.hpp"
std::map<long long, int> factorize(long long n) {
std::map<long long, int> ret;
while (~n & 1) n >>= 1, ret[2]++;
std::queue<long long> q;
q.push(n);
while (!q.empty()) {
long long p = q.front();
q.pop();
if (p == 1) continue;
if (miller_rabin(p)) {
ret[p]++;
continue;
}
long long d = rho(p);
q.push(d);
q.push(p / d);
}
return ret;
}
#line 49 "/Users/gyouzasushi/kyopro/library/math/binomial_coefficient.hpp"
struct binomial_coefficient_arbitrary_mod {
static void set_mod(int mod) {
assert(1 <= mod);
m = mod;
factors = factorize(m);
f.assign(factors.size(), {});
inv_f.assign(factors.size(), {});
}
static long long C(long long n, long long k) {
if (m == 1 || n < 0 || n < k || k < 0) return 0;
ensure(n);
long long r = n - k;
std::vector<long long> rems(factors.size()), mods(factors.size());
int id = 0;
for (auto [p, q] : factors) {
long long p_q = pow_ll(p, q);
mods[id] = p_q;
long long e1 = 0, e2 = 0;
for (long long p_i = p_q;;) {
e1 += n / p_i - k / p_i - r / p_i;
if (p_i > n / p) break;
p_i *= p;
}
for (long long p_i = p;;) {
e2 += n / p_i - k / p_i - r / p_i;
if (p_i > n / p) break;
p_i *= p;
}
atcoder::internal::barrett bt((unsigned int)(p_q));
long long delta = p == 2 && q >= 3 ? 1 : -1;
long long rem = delta == -1 && e1 & 1 ? p_q - 1 : 1;
rem = bt.mul(rem, atcoder::pow_mod(p, e2, p_q));
for (long long p_i = 1;;) {
rem = bt.mul(rem, f[id][(n / p_i) % p_q]);
rem = bt.mul(rem, inv_f[id][(k / p_i) % p_q]);
rem = bt.mul(rem, inv_f[id][(r / p_i) % p_q]);
if (p_i > n / p) break;
p_i *= p;
}
rems[id] = rem;
id++;
}
return atcoder::crt(rems, mods).first;
}
private:
static void ensure(long long n) {
if (max_size > n) return;
int id = 0;
for (auto [p, q] : factors) {
long long p_q = pow_ll(p, q);
int sz = f[id].size();
if ((long long)sz > std::min(p_q - 1, n) + 1) continue;
f[id].resize(std::min(p_q - 1, n) + 1);
inv_f[id].resize(std::min(p_q - 1, n) + 1);
max_size = std::max(max_size, std::min(p_q - 1, n) + 1);
atcoder::internal::barrett bt((unsigned int)(p_q));
for (int i = sz; i <= std::min(p_q - 1, n); i++) {
if (i == 0) {
f[id][i] = 1;
} else {
if (i % p == 0) {
f[id][i] = f[id][i - 1];
} else {
f[id][i] = bt.mul(f[id][i - 1], i);
}
}
inv_f[id][i] = atcoder::inv_mod(f[id][i], p_q);
}
id++;
}
}
static long long pow_ll(long long x, long long n) {
assert(0 <= n && 1 <= m);
long long r = 1, y = x;
while (n) {
if (n & 1) r *= y;
n >>= 1;
if (n) y *= y;
}
return r;
}
static inline long long m = -1;
static inline long long max_size = 0;
static inline std::map<long long, int> factors{};
static inline std::vector<std::vector<long long>> f{};
static inline std::vector<std::vector<long long>> inv_f{};
};
#line 74 "main.cpp"
using binom = binomial_coefficient<mint>;
int main() {
int n, k;
cin >> n >> k;
mint ans = 0;
ans += binom::C(2 * n + 4, k);
if (k % 2 == 0) ans += binom::C(n + 2, k / 2);
if (n % 2 == 0) {
if (k % 2 == 0) ans += binom::C(n + 2, k / 2);
} else {
if (k % 2 == 0) ans += binom::C(n + 1, k / 2);
if ((k - 1) % 2 == 0 && k >= 1) ans += binom::C(n + 1, (k - 1) / 2) * 2;
if ((k - 2) % 2 == 0 && k >= 2) ans += binom::C(n + 1, (k - 2) / 2);
}
if (n % 2 == 0) {
if (k % 2 == 0) ans += binom::C(n + 2, k / 2);
} else {
if (k % 2 == 0) ans += binom::C(n + 1, k / 2);
if ((k - 2) % 2 == 0 && k >= 2) ans += binom::C(n + 1, (k - 2) / 2);
}
ans /= 4;
cout << ans.val() << '\n';
}