結果
| 問題 | No.2383 Naphthol |
| ユーザー |
 kaichou243
|
| 提出日時 | 2023-06-03 18:00:53 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 8 ms / 2,000 ms |
| コード長 | 28,598 bytes |
| コンパイル時間 | 3,781 ms |
| コンパイル使用メモリ | 317,800 KB |
| 最終ジャッジ日時 | 2025-02-13 22:25:25 |
|
ジャッジサーバーID （参考情報） |
judge3 / judge1 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 3 |
| other | AC * 18 |
ソースコード
#include<bits/stdc++.h>
#include <immintrin.h>
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#define FOR(i,n) for(int i = 0; i < (n); i++)
#define sz(c) ((int)(c).size())
#define ten(x) ((int)1e##x)
#define all(v) (v).begin(), (v).end()
using namespace std;
using ll=long long;
using P = pair<ll,ll>;
const long double PI=acos(-1);
const ll INF=1e18;
const int inf=1e9;
template <typename T>
bool chmin(T &a,const T& b){
if (a>b){
a=b;
return true;
}
return false;
}
template<int MOD> struct Fp{
ll val;
constexpr Fp(long long v = 0) noexcept : val(v % MOD) {
if (val < 0) val += MOD;
}
static constexpr int getmod() { return MOD; }
constexpr Fp operator - () const noexcept {
return val ? MOD - val : 0;
}
constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; }
constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; }
constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; }
constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; }
constexpr Fp& operator += (const Fp& r) noexcept {
val += r.val;
if (val >= MOD) val -= MOD;
return *this;
}
constexpr Fp& operator -= (const Fp& r) noexcept {
val -= r.val;
if (val < 0) val += MOD;
return *this;
}
constexpr Fp& operator *= (const Fp& r) noexcept {
val = val * r.val % MOD;
return *this;
}
constexpr Fp& operator /= (const Fp& r) noexcept {
ll a = r.val, b = MOD, u = 1, v = 0;
while (b) {
ll t = a / b;
a -= t * b, swap(a, b);
u -= t * v, swap(u, v);
}
val = val * u % MOD;
if (val < 0) val += MOD;
return *this;
}
constexpr bool operator == (const Fp& r) const noexcept {
return this->val == r.val;
}
constexpr bool operator != (const Fp& r) const noexcept {
return this->val != r.val;
}
constexpr bool operator < (const Fp& r) const noexcept {
return this->val < r.val;
}
friend constexpr istream& operator >> (istream& is, Fp<MOD>& x) noexcept {
is >> x.val;
x.val %= MOD;
if (x.val < 0) x.val += MOD;
return is;
}
friend constexpr ostream& operator << (ostream& os, const Fp<MOD>& x) noexcept {
return os << x.val;
}
friend constexpr Fp<MOD> modpow(const Fp<MOD>& a, long long n) noexcept {
Fp<MOD> res=1,r=a;
while(n){
if(n&1) res*=r;
r*=r;
n>>=1;
}
return res;
}
friend constexpr Fp<MOD> modinv(const Fp<MOD>& r) noexcept {
long long a = r.val, b = MOD, u = 1, v = 0;
while (b) {
long long t = a / b;
a -= t * b, swap(a, b);
u -= t * v, swap(u, v);
}
return Fp<MOD>(u);
}
ll get(){
return val;
}
explicit operator bool()const{
return val;
}
};
template< uint32_t mod, bool fast = false >
struct MontgomeryModInt {
using mint = MontgomeryModInt;
using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;
static constexpr u32 get_r() {
u32 ret = mod;
for(i32 i = 0; i < 4; i++) ret *= 2 - mod * ret;
return ret;
}
static constexpr u32 r = get_r();
static constexpr u32 n2 = -u64(mod) % mod;
static_assert(r * mod == 1, "invalid, r * mod != 1");
static_assert(mod < (1 << 30), "invalid, mod >= 2 ^ 30");
static_assert((mod & 1) == 1, "invalid, mod % 2 == 0");
u32 a;
MontgomeryModInt() : a{} {}
MontgomeryModInt(const i64 &x)
: a(reduce(u64(fast ? x : (x % mod + mod)) * n2)) {}
static constexpr u32 reduce(const u64 &b) {
return u32(b >> 32) + mod - u32((u64(u32(b) * r) * mod) >> 32);
}
constexpr mint& operator+=(const mint &p) {
if(i32(a += p.a - 2 * mod) < 0) a += 2 * mod;
return *this;
}
constexpr mint& operator-=(const mint &p) {
if(i32(a -= p.a) < 0) a += 2 * mod;
return *this;
}
constexpr mint& operator*=(const mint &p) {
a = reduce(u64(a) * p.a);
return *this;
}
constexpr mint& operator/=(const mint &p) {
*this *= modinv(p);
return *this;
}
constexpr mint operator-() const { return mint() - *this; }
constexpr mint operator+(const mint &p) const { return mint(*this) += p; }
constexpr mint operator-(const mint &p) const { return mint(*this) -= p; }
constexpr mint operator*(const mint &p) const { return mint(*this) *= p; }
constexpr mint operator/(const mint &p) const { return mint(*this) /= p; }
constexpr bool operator==(const mint &p) const { return (a >= mod ? a - mod : a) == (p.a >= mod ? p.a - mod : p.a); }
constexpr bool operator!=(const mint &p) const { return (a >= mod ? a - mod : a) != (p.a >= mod ? p.a - mod : p.a); }
u32 get() const {
u32 ret = reduce(a);
return ret >= mod ? ret - mod : ret;
}
friend constexpr MontgomeryModInt<mod> modpow(const MontgomeryModInt<mod> &x,u64 n) noexcept {
MontgomeryModInt<mod> ret(1), mul(x);
while(n > 0) {
if(n & 1) ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
friend constexpr MontgomeryModInt<mod> modinv(const MontgomeryModInt<mod> &r) noexcept {
u64 a = r.get(), b = mod, u = 1, v = 0;
while (b) {
long long t = a / b;
a -= t * b, swap(a, b);
u -= t * v, swap(u, v);
}
return MontgomeryModInt<mod>(u);
}
friend ostream &operator<<(ostream &os, const mint &p) {
return os << p.get();
}
friend istream &operator>>(istream &is, mint &a) {
i64 t;
is >> t;
a = mint(t);
return is;
}
static constexpr u32 getmod() { return mod; }
};
template<class T,T (*op)(T,T),T (*e)()> struct SegmentTree{
int n;
vector<T> dat;
SegmentTree(int N){
n=1;
while(n<N)n*=2;
dat.assign(2*n,e());
}
void add(int k,T x){
k+=n;
dat[k]+=x;
while(k){
k>>=1;
dat[k]=op(dat[k*2],dat[k*2+1]);
}
}
void apply(int k,T x){
k+=n;
dat[k]=op(dat[k],x);
while(k){
k>>=1;
dat[k]=op(dat[k*2],dat[k*2+1]);
}
}
void set(int k,T x){
k+=n;
dat[k]=x;
while(k){
k>>=1;
dat[k]=op(dat[k*2],dat[k*2+1]);
}
}
T query(int l,int r){
T prodl=e(),prodr=e();
l+=n;
r+=n;
while(l<r){
if(l&1) prodl=op(prodl,dat[l++]);
if(r&1) prodr=op(dat[--r],prodr);
l>>=1;
r>>=1;
}
return op(prodl,prodr);
}
};
template<class S,S (*op)(S,S),S (*e)(),class F,S (*mapping)(F,S),F (*composition)(F,F),F (*id)()>
struct LazySegTree{
private:
int _n,size=1,idx=0;
vector<S>seq;
vector<F>lazy;
void update(int k){seq[k]=op(seq[2*k],seq[2*k+1]);}
void all_apply(int k,F f){
seq[k]=mapping(f,seq[k]);
if(k<size)lazy[k]=composition(f,lazy[k]);
}
void eval(int k){
all_apply(2*k,lazy[k]);
all_apply(2*k+1,lazy[k]);
lazy[k]=id();
}
public:
explicit LazySegTree(int n):LazySegTree(vector<S>(n,e())){}
explicit LazySegTree(const vector<S>&v):_n(int(v.size())){
while(size<_n)size<<=1,idx++;
seq=vector<S>(2*size,e());
lazy=vector<F>(2*size,id());
for(int i=0;i<_n;i++)seq[size+i]=v[i];
for(int i=size-1;i>=1;i--)update(i);
}
void set(int p,S x){
p+=size;
for(int i=idx;i>=1;i--)eval(p>>i);
seq[p]=x;
for(int i=1;i<=idx;i++)update(p>>i);
}
S get(int p) {
assert(0 <= p && p < _n);
p += size;
for (int i = idx; i >= 1; i--) eval(p >> i);
return seq[p];
}
S operator[](int p){
p+=size;
for(int i=idx;i>=1;i--)eval(p>>i);
return seq[p];
}
S query(int l,int r){
if(l==r)return e();
S sml=e(),smr=e();
l+=size,r+=size;
for(int i=idx;i>=1;i--){
if(((l>>i)<<i)!=l)eval(l>>i);
if(((r>>i)<<i)!=r)eval(r>>i);
}
while(l<r){
if(l&1)sml=op(sml,seq[l++]);
if(r&1)smr=op(seq[--r],smr);
l>>=1,r>>=1;
}
return op(sml,smr);
}
S all_query()const{return seq[1];}
void apply(int p,F f){
p+=size;
for(int i=idx;i>=1;i--)eval(p>>i);
seq[p]=mapping(f,seq[p]);
for(int i=1;i<=idx;i++)update(p>>i);
}
void apply(int l,int r,F f){
if(l==r)return ;
l+=size;
r+=size;
for(int i=idx;i>=1;i--){
if(((l>>i)<<i)!=l)eval(l>>i);
if(((r>>i)<<i)!=r)eval((r-1)>>i);
}
int l2=l,r2=r;
while(l<r){
if(l&1)all_apply(l++,f);
if(r&1)all_apply(--r,f);
l>>=1;
r>>=1;
}
l=l2,r=r2;
for(int i=1;i<=idx;i++){
if(((l>>i)<<i)!=l)update(l>>i);
if(((r>>i)<<i)!=r)update((r-1)>>i);
}
}
};
ll mod(ll a,ll MOD){
if(a<0) a+=MOD;
return a%MOD;
}
ll modpow(ll a,ll n,ll mod){
ll res=1;
a%=mod;
while (n>0){
if (n & 1) res*=a;
a *= a;
a%=mod;
n >>= 1;
res%=mod;
}
return res;
}
vector<P> prime_factorize(ll N) {
vector<P> res;
for (ll a = 2; a * a <= N; ++a) {
if (N % a != 0) continue;
ll ex = 0;
while(N % a == 0){
++ex;
N /= a;
}
res.push_back({a, ex});
}
if (N != 1) res.push_back({N, 1});
return res;
}
ll modinv(ll a, ll mod) {
ll b = mod, u = 1, v = 0;
while (b) {
ll t = a/b;
a -= t * b, swap(a, b);
u -= t * v, swap(u, v);
}
u %= mod;
if (u < 0) u += mod;
return u;
}
ll extGcd(ll a, ll b, ll &p, ll &q) {
if (b == 0) { p = 1; q = 0; return a; }
ll d = extGcd(b, a%b, q, p);
q -= a/b * p;
return d;
}
P ChineseRem(const vector<ll> &b, const vector<ll> &m) {
ll r = 0, M = 1;
for (int i = 0; i < (int)b.size(); ++i) {
ll p, q;
ll d = extGcd(M, m[i], p, q);
if ((b[i] - r) % d != 0) return make_pair(0, -1);
ll tmp = (b[i] - r) / d * p % (m[i]/d);
r += M * tmp;
M *= m[i]/d;
}
return make_pair(mod(r, M), M);
}
template< typename T >
struct Combination {
vector< T > _fact, _rfact, _inv;
Combination(int sz) : _fact(sz + 1), _rfact(sz + 1), _inv(sz + 1) {
_fact[0] = _rfact[sz] = _inv[0] = 1;
for(int i = 1; i <= sz; i++) _fact[i] = _fact[i - 1] * i;
_rfact[sz] /= _fact[sz];
for(int i = sz - 1; i >= 0; i--) _rfact[i] = _rfact[i + 1] * (i + 1);
for(int i = 1; i <= sz; i++) _inv[i] = _rfact[i] * _fact[i - 1];
}
inline T fact(int k) const { return _fact[k]; }
inline T rfact(int k) const { return _rfact[k]; }
inline T inv(int k) const { return _inv[k]; }
T P(int n, int r) const {
if(r < 0 || n < r) return 0;
return fact(n) * rfact(n - r);
}
T C(int p, int q) const {
if(q < 0 || p < q) return 0;
return fact(p) * rfact(q) * rfact(p - q);
}
T H(int n, int r) const {
if(n < 0 || r < 0) return (0);
return r == 0 ? 1 : C(n + r - 1, r);
}
};
//fast Input by yosupo
#include <unistd.h>
#include <algorithm>
#include <array>
#include <cassert>
#include <cctype>
#include <cstring>
#include <sstream>
#include <string>
#include <type_traits>
#include <vector>
namespace fastio{
/*
quote from yosupo's submission in Library Checker
*/
int bsr(unsigned int n) {
return 8 * (int)sizeof(unsigned int) - 1 - __builtin_clz(n);
}
// @param n `1 <= n`
// @return maximum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsr(unsigned long n) {
return 8 * (int)sizeof(unsigned long) - 1 - __builtin_clzl(n);
}
// @param n `1 <= n`
// @return maximum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsr(unsigned long long n) {
return 8 * (int)sizeof(unsigned long long) - 1 - __builtin_clzll(n);
}
// @param n `1 <= n`
// @return minimum non-negative `x` s.t. `(n & (1 << x)) != 0`
int bsr(unsigned __int128 n) {
unsigned long long low = (unsigned long long)(n);
unsigned long long high = (unsigned long long)(n >> 64);
return high ? 127 - __builtin_clzll(high) : 63 - __builtin_ctzll(low);
}
namespace internal {
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 ||
internal::is_signed_int128<T>::value ||
internal::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;
template <class T>
using is_integral_t = std::enable_if_t<is_integral<T>::value>;
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
struct Scanner {
public:
Scanner(const Scanner&) = delete;
Scanner& operator=(const Scanner&) = delete;
Scanner(FILE* fp) : fd(fileno(fp)) {}
void read() {}
template <class H, class... T> void read(H& h, T&... t) {
bool f = read_single(h);
assert(f);
read(t...);
}
int read_unsafe() { return 0; }
template <class H, class... T> int read_unsafe(H& h, T&... t) {
bool f = read_single(h);
if (!f) return 0;
return 1 + read_unsafe(t...);
}
int close() { return ::close(fd); }
private:
static constexpr int SIZE = 1 << 15;
int fd = -1;
std::array<char, SIZE + 1> line;
int st = 0, ed = 0;
bool eof = false;
bool read_single(std::string& ref) {
if (!skip_space()) return false;
ref = "";
while (true) {
char c = top();
if (c <= ' ') break;
ref += c;
st++;
}
return true;
}
bool read_single(double& ref) {
std::string s;
if (!read_single(s)) return false;
ref = std::stod(s);
return true;
}
template <class T,
std::enable_if_t<std::is_same<T, char>::value>* = nullptr>
bool read_single(T& ref) {
if (!skip_space<50>()) return false;
ref = top();
st++;
return true;
}
template <class T,
internal::is_signed_int_t<T>* = nullptr,
std::enable_if_t<!std::is_same<T, char>::value>* = nullptr>
bool read_single(T& sref) {
using U = internal::to_unsigned_t<T>;
if (!skip_space<50>()) return false;
bool neg = false;
if (line[st] == '-') {
neg = true;
st++;
}
U ref = 0;
do {
ref = 10 * ref + (line[st++] & 0x0f);
} while (line[st] >= '0');
sref = neg ? -ref : ref;
return true;
}
template <class U,
internal::is_unsigned_int_t<U>* = nullptr,
std::enable_if_t<!std::is_same<U, char>::value>* = nullptr>
bool read_single(U& ref) {
if (!skip_space<50>()) return false;
ref = 0;
do {
ref = 10 * ref + (line[st++] & 0x0f);
} while (line[st] >= '0');
return true;
}
bool reread() {
if (ed - st >= 50) return true;
if (st > SIZE / 2) {
std::memmove(line.data(), line.data() + st, ed - st);
ed -= st;
st = 0;
}
if (eof) return false;
auto u = ::read(fd, line.data() + ed, SIZE - ed);
if (u == 0) {
eof = true;
line[ed] = '\0';
u = 1;
}
ed += int(u);
line[ed] = char(127);
return true;
}
char top() {
if (st == ed) {
bool f = reread();
assert(f);
}
return line[st];
}
template <int TOKEN_LEN = 0>
bool skip_space() {
while (true) {
while (line[st] <= ' ') st++;
if (ed - st > TOKEN_LEN) return true;
if (st > ed) st = ed;
for (auto i = st; i < ed; i++) {
if (line[i] <= ' ') return true;
}
if (!reread()) return false;
}
}
};
//fast Output by ei1333
/**
* @brief Printer(高速出力)
*/
struct Printer {
public:
explicit Printer(FILE *fp) : fp(fp) {}
~Printer() { flush(); }
template< bool f = false, typename T, typename... E >
void write(const T &t, const E &... e) {
if(f) write_single(' ');
write_single(t);
write< true >(e...);
}
template< typename... T >
void writeln(const T &...t) {
write(t...);
write_single('\n');
}
void flush() {
fwrite(line, 1, st - line, fp);
st = line;
}
private:
FILE *fp = nullptr;
static constexpr size_t line_size = 1 << 16;
static constexpr size_t int_digits = 20;
char line[line_size + 1] = {};
char small[32] = {};
char *st = line;
template< bool f = false >
void write() {}
void write_single(const char &t) {
if(st + 1 >= line + line_size) flush();
*st++ = t;
}
template< typename T, enable_if_t< is_integral< T >::value, int > = 0 >
void write_single(T s) {
if(st + int_digits >= line + line_size) flush();
if(s == 0) {
write_single('0');
return;
}
if(s < 0) {
write_single('-');
s = -s;
}
char *mp = small + sizeof(small);
typename make_unsigned< T >::type y = s;
size_t len = 0;
while(y > 0) {
*--mp = y % 10 + '0';
y /= 10;
++len;
}
memmove(st, mp, len);
st += len;
}
void write_single(const string &s) {
for(auto &c : s) write_single(c);
}
void write_single(const char *s) {
while(*s != 0) write_single(*s++);
}
template< typename T >
void write_single(const vector< T > &s) {
for(size_t i = 0; i < s.size(); i++) {
if(i) write_single(' ');
write_single(s[i]);
}
}
};
}; //namespace fastio
using u64=unsigned long long;
u64 RNG_64() {
static uint64_t x_
= uint64_t(chrono::duration_cast<chrono::nanoseconds>(
chrono::high_resolution_clock::now().time_since_epoch())
.count())
* 10150724397891781847ULL;
x_ ^= x_ << 7;
return x_ ^= x_ >> 9;
}
u64 RNG(u64 lim) { return RNG_64() % lim; }
ll RNG(ll l, ll r) { return l + RNG_64() % (r - l); }
struct modint61 {
static constexpr bool is_modint = true;
static constexpr ll mod = (1LL << 61) - 1;
ll val;
constexpr modint61(const ll x = 0) : val(x) {
while (val < 0) val += mod;
while (val >= mod) val -= mod;
}
bool operator<(const modint61 &other) const {
return val < other.val;
} // To use std::map
bool operator==(const modint61 &p) const { return val == p.val; }
bool operator!=(const modint61 &p) const { return val != p.val; }
modint61 &operator+=(const modint61 &p) {
if ((val += p.val) >= mod) val -= mod;
return *this;
}
modint61 &operator-=(const modint61 &p) {
if ((val += mod - p.val) >= mod) val -= mod;
return *this;
}
modint61 &operator*=(const modint61 &p) {
ll a = val, b = p.val;
const ll MASK30 = (1LL << 30) - 1;
const ll MASK31 = (1LL << 31) - 1;
const ll MASK61 = (1LL << 61) - 1;
ll au = a >> 31, ad = a & MASK31;
ll bu = b >> 31, bd = b & MASK31;
ll x = ad * bu + au * bd;
ll xu = x >> 30, xd = x & MASK30;
x = au * bu * 2 + xu + (xd << 31) + ad * bd;
xu = x >> 61, xd = x & MASK61;
x = xu + xd;
if (x >= MASK61) x -= MASK61;
val = x;
return *this;
}
modint61 operator-() const { return modint61(get_mod() - val); }
modint61 &operator/=(const modint61 &p) {
*this *= p.inverse();
return *this;
}
modint61 operator+(const modint61 &p) const { return modint61(*this) += p; }
modint61 operator-(const modint61 &p) const { return modint61(*this) -= p; }
modint61 operator*(const modint61 &p) const { return modint61(*this) *= p; }
modint61 operator/(const modint61 &p) const { return modint61(*this) /= p; }
modint61 inverse() const {
ll a = val, b = mod, u = 1, v = 0, t;
while (b > 0) {
t = a / b;
swap(a -= t * b, b), swap(u -= t * v, v);
}
return modint61(u);
}
modint61 pow(int64_t n) const {
modint61 ret(1), mul(val);
while (n > 0) {
if (n & 1) ret = ret * mul;
mul = mul * mul;
n >>= 1;
}
return ret;
}
static constexpr ll get_mod() { return mod; }
#ifdef FASTIO
void write() { fastio::printer.write(val); }
void read() { fastio::scanner.read(val); }
#endif
};
struct RollingHash {
using mint = modint61;
static constexpr u64 mod = mint::get_mod();
const mint base;
vector<mint> power;
static inline mint generate_base() { return RNG(mod); }
inline void expand(size_t sz) {
if (power.size() < sz + 1) {
int pre_sz = (int)power.size();
power.resize(sz + 1);
for(int i=pre_sz - 1;i<sz;i++) power[i + 1] = power[i] * base;
}
}
explicit RollingHash(mint base = generate_base()) : base(base), power{1} {}
template <typename STRING>
vector<mint> build(const STRING& s) const {
int sz = s.size();
vector<mint> hashed(sz + 1);
for (int i = 0; i < sz; i++) { hashed[i + 1] = hashed[i] * base + s[i]; }
return hashed;
}
mint query(const vector<mint>& s, int l, int r) {
expand(r - l);
return (s[r] - s[l] * power[r - l]).val;
}
mint combine(mint h1, mint h2, int h2len) {
expand(h2len);
return h1 * power[h2len] + h2;
}
mint add_char(mint h, int x) { return h * base + mint(x); }
int lcp(const vector<mint>& a, int l1, int r1, const vector<mint>& b, int l2,
int r2) {
int len = min(r1 - l1, r2 - l2);
int low = 0, high = len + 1;
while (high - low > 1) {
int mid = (low + high) / 2;
if (query(a, l1, l1 + mid) == query(b, l2, l2 + mid))
low = mid;
else
high = mid;
}
return low;
}
};
inline constexpr int msb(u64 x) {
int res = x ? 0 : -1;
if (x & 0xFFFFFFFF00000000) x &= 0xFFFFFFFF00000000, res += 32;
if (x & 0xFFFF0000FFFF0000) x &= 0xFFFF0000FFFF0000, res += 16;
if (x & 0xFF00FF00FF00FF00) x &= 0xFF00FF00FF00FF00, res += 8;
if (x & 0xF0F0F0F0F0F0F0F0) x &= 0xF0F0F0F0F0F0F0F0, res += 4;
if (x & 0xCCCCCCCCCCCCCCCC) x &= 0xCCCCCCCCCCCCCCCC, res += 2;
return res + ((x & 0xAAAAAAAAAAAAAAAA) ? 1 : 0);
}
inline constexpr int ceil_log2(u64 x) { return x ? msb(x - 1) + 1 : 0; }
template<class T> class infinity {
public:
static constexpr T value = std::numeric_limits<T>::max() / 2;
static constexpr T mvalue = std::numeric_limits<T>::min() / 2;
static constexpr T max = std::numeric_limits<T>::max();
static constexpr T min = std::numeric_limits<T>::min();
};
#if __cplusplus <= 201402L
template<class T> constexpr T infinity<T>::value;
template<class T> constexpr T infinity<T>::mvalue;
template<class T> constexpr T infinity<T>::max;
template<class T> constexpr T infinity<T>::min;
#endif
template<class T = ll, bool is_max = false> class LiChaoTree {
private:
struct Line {
T a, b;
int idx;
T get(T x) const { return a * x + b; }
Line() = default;
Line(T a, T b, int id) : a(a), b(b), idx(id) {}
};
int line_count = 0;
int ori, n;
std::vector<T> xs;
std::vector<Line> lns;
void add_line(int k, int a, int b, const Line& line) {
if (a + 1 == b) {
if (line.get(xs[a]) < lns[k].get(xs[a])) lns[k] = line;
return;
}
int m = (a + b) >> 1;
T x1 = lns[k].get(xs[a]), x2 = line.get(xs[a]);
T y1 = lns[k].get(xs[b - 1]), y2 = line.get(xs[b - 1]);
if (x1 <= x2 && y1 <= y2) return;
if (x2 <= x1 && y2 <= y1) {
lns[k] = line;
return;
}
if (lns[k].get(xs[m]) <= line.get(xs[m])) {
if (y1 < y2) add_line(k << 1, a, m, line);
else add_line(k << 1 | 1, m, b, line);
}
else {
if (y1 < y2) add_line(k << 1 | 1, m, b, lns[k]);
else add_line(k << 1, a, m, lns[k]);
lns[k] = line;
}
}
void add_segment(int k, int a, int b, int l, int r, const Line& line) {
if (l <= a && b <= r) {
add_line(k, a, b, line);
return;
}
if (r <= a || b <= l) return;
int m = (a + b) >> 1;
add_segment(k << 1, a, m, l, r, line);
add_segment(k << 1 | 1, m, b, l, r, line);
}
public:
LiChaoTree() : LiChaoTree({0}) {}
LiChaoTree(const std::vector<T>& xs_) { init(xs_); }
void init(const std::vector<T>& xs_) {
xs = xs_.empty() ? std::vector<T>{0} : xs_;
ori = xs.size();
n = 1 << ceil_log2(ori);
xs.reserve(n);
for(int i=xs_.size();i<n;i++) xs.push_back(xs_[i] + 1);
lns.assign(n << 1,
Line{0, is_max ? infinity<T>::min : infinity<T>::max, -1});
}
int add_segment(int l, int r, T x, T y) {
assert(0 <= l && l <= r && r <= ori);
add_segment(1, 0, n, l, r,
Line{is_max ? -x : x, is_max ? -y : y, line_count});
return line_count++;
}
int add_line(T x, T y) {
add_line(1, 0, n, Line{is_max ? -x : x, is_max ? -y : y, line_count});
return line_count++;
}
T get_min(int k) const {
int x = k + n;
T res = lns[x].get(xs[k]);
while (x >>= 1) {
const T y = lns[x].get(xs[k]);
if(is_max) chmin(res, -y );
else chmin(res, y);
}
return res;
}
struct line {
T a, b;
int idx;
};
line get_min_line(int k) const {
int x = k + n;
T mn = lns[x].get(xs[k]);
Line res = lns[x];
while (x >>= 1) {
const T y = lns[x].get(xs[k]);
if (chmin(mn, is_max ? -y : y)) res = lns[x];
}
return line{is_max ? -res.a : res.a, is_max ? -res.b : res.b, res.idx};
}
};
using mint=MontgomeryModInt<998244353>;
int main(){
fastio::Scanner sc(stdin);
fastio::Printer pr(stdout);
#define in(...) sc.read(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;in(__VA_ARGS__)
#define INT(...) int __VA_ARGS__;in(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;in(__VA_ARGS__)
#define out(...) pr.write(__VA_ARGS__)
#define outln(...) pr.writeln(__VA_ARGS__)
#define outspace(...) pr.write(__VA_ARGS__),pr.write(' ')
#define rall(v) (v).rbegin(), (v).rend()
#define fi first
#define se second
/*
*/
INT(n,k);
assert(1<=n&&n<=100000&&1<=k&&k<=n*2+4);
Combination<mint> C(200200);
if(n==1){
mint ans=0;
for(int i=0;i<6;i++){
if(k%(6/gcd(6,i))==0) ans+=C.C(gcd(6,i),k/(6/gcd(6,i)));
}
ans*=C.inv(12);
ans+=C.C(3-k%2*(1-6%2),k/2)*C.inv(2);
outln(ans.get());
return 0;
}
mint ans=C.C(n*2+4,k);
if(n%2==1&&k%2==1) ans+=C.C(n+1,(k-1)/2)*2;
else if(n%2==1&&k%2==0) ans+=C.C(n+1,k/2)+C.C(n+1,(k-2)/2);
else if(n%2==0&&k%2==0) ans+=C.C(n+2,k/2);
if(k%2==0) ans+=C.C(n+2,k/2)*2;
ans*=C.inv(4);
outln(ans.get());
}