結果
| 問題 |
No.3089 Base M Numbers, But Only 0~9
|
| ユーザー |
 kk2a
|
| 提出日時 | 2025-04-04 23:09:47 |
| 言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
AC
|
| 実行時間 | 78 ms / 2,000 ms |
| コード長 | 31,932 bytes |
| コンパイル時間 | 1,496 ms |
| コンパイル使用メモリ | 136,104 KB |
| 実行使用メモリ | 5,888 KB |
| 最終ジャッジ日時 | 2025-04-04 23:09:50 |
| 合計ジャッジ時間 | 3,255 ms |
|
ジャッジサーバーID （参考情報） |
judge4 / judge1 |
（要ログイン）
| ファイルパターン | 結果 |
|---|---|
| sample | AC * 5 |
| other | AC * 19 |
ソースコード
#include <iomanip>
#include <optional>
#include <ostream>
#include <numeric>
#include <unordered_set>
#include <iostream>
#include <unordered_map>
#include <functional>
#include <cassert>
#include <stack>
#include <vector>
#include <bitset>
#include <algorithm>
#include <iterator>
#include <map>
#include <queue>
#include <deque>
#include <istream>
#include <fstream>
#include <utility>
#include <array>
#include <string>
#include <set>
#include <type_traits>
#ifndef KK2_TEMPLATE_PROCON_HPP
#define KK2_TEMPLATE_PROCON_HPP 1
#ifndef KK2_TEMPLATE_CONSTANT_HPP
#define KK2_TEMPLATE_CONSTANT_HPP 1
#ifndef KK2_TEMPLATE_TYPE_ALIAS_HPP
#define KK2_TEMPLATE_TYPE_ALIAS_HPP 1
using u32 = unsigned int;
using i64 = long long;
using u64 = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;
using pi = std::pair<int, int>;
using pl = std::pair<i64, i64>;
using pil = std::pair<int, i64>;
using pli = std::pair<i64, int>;
template <class T> using vc = std::vector<T>;
template <class T> using vvc = std::vector<vc<T>>;
template <class T> using vvvc = std::vector<vvc<T>>;
template <class T> using vvvvc = std::vector<vvvc<T>>;
template <class T> using pq = std::priority_queue<T>;
template <class T> using pqi = std::priority_queue<T, std::vector<T>, std::greater<T>>;
#endif // KK2_TEMPLATE_TYPE_ALIAS_HPP
template <class T> constexpr T infty = 0;
template <> constexpr int infty<int> = (1 << 30) - 123;
template <> constexpr i64 infty<i64> = (1ll << 62) - (1ll << 31);
template <> constexpr i128 infty<i128> = (i128(1) << 126) - (i128(1) << 63);
template <> constexpr u32 infty<u32> = infty<int>;
template <> constexpr u64 infty<u64> = infty<i64>;
template <> constexpr u128 infty<u128> = infty<i128>;
template <> constexpr double infty<double> = infty<i64>;
template <> constexpr long double infty<long double> = infty<i64>;
constexpr int mod = 998244353;
constexpr int modu = 1e9 + 7;
constexpr long double PI = 3.14159265358979323846;
#endif // KK2_TEMPLATE_CONSTANT_HPP
#ifndef KK2_TEMPLATE_FUNCTION_UTIL_HPP
#define KK2_TEMPLATE_FUNCTION_UTIL_HPP 1
namespace kk2 {
template <class T, class... Sizes> auto make_vector(int first, Sizes... sizes) {
if constexpr (sizeof...(sizes) == 0) {
return std::vector<T>(first);
} else {
return std::vector<decltype(make_vector<T>(sizes...))>(first, make_vector<T>(sizes...));
}
}
template <class T, class U> void fill_all(std::vector<T> &v, const U &x) {
std::fill(std::begin(v), std::end(v), T(x));
}
template <class T, class U> void fill_all(std::vector<std::vector<T>> &v, const U &x) {
for (auto &u : v) fill_all(u, x);
}
template <class C> int mysize(const C &c) {
return size(c);
}
// T: comutative monoid
template <class T, class U> U all_sum(const std::vector<T> &v, U unit = U()) {
U res = unit;
for (const auto &x : v) res += x;
return res;
}
template <class T, class U> U all_sum(const std::vector<std::vector<T>> &v, U unit = U()) {
U res = U();
for (const auto &u : v) res += all_sum(u, unit);
return res;
}
// T: commutative monoid, F: (U, T) -> U
template <class T, class U, class F> U all_prod(const std::vector<T> &v, U init, const F &f, U = U()) {
U res = init;
for (const auto &x : v) res = f(res, x);
return res;
}
template <class T, class U, class F>
U all_prod(const std::vector<std::vector<T>> &v, U init, const F &f, U unit) {
U res = init;
for (const auto &u : v) res = f(res, all_prod(u, unit, f, unit));
return res;
}
template <class T> T all_min(const std::vector<T> &v) {
if (v.empty()) return T();
T res = v[0];
for (const auto &x : v) res = res > x ? x : res;
return res;
}
template <class T>
T all_min(const std::vector<std::vector<T>> &v) {
T res{};
bool first = true;
for (const auto &u : v) {
if (u.empty()) continue;
if (first) {
res = all_min(u);
first = false;
} else {
T tmp = all_min(u);
res = res > tmp ? tmp : res;
}
}
return res;
}
template <class T> T all_max(const std::vector<T> &v) {
if (v.empty()) return T();
T res = v[0];
for (const auto &x : v) res = res < x ? x : res;
return res;
}
template <class T>
T all_max(const std::vector<std::vector<T>> &v) {
T res{};
bool first = true;
for (const auto &u : v) {
if (u.empty()) continue;
if (first) {
res = all_max(u);
first = false;
} else {
T tmp = all_max(u);
res = res < tmp ? tmp : res;
}
}
return res;
}
} // namespace kk2
#endif // KK2_TEMPLATE_FUNCTION_UTIL_HPP
#ifndef KK2_TEMPLATE_IO_UTIL_HPP
#define KK2_TEMPLATE_IO_UTIL_HPP 1
#ifndef KK2_TYPE_TRAITS_TYPE_TRAITS_HPP
#define KK2_TYPE_TRAITS_TYPE_TRAITS_HPP 1
namespace kk2 {
#ifndef _MSC_VER
template <typename T>
using is_signed_int128 = typename std::conditional<std::is_same<T, __int128_t>::value
or std::is_same<T, __int128>::value,
std::true_type,
std::false_type>::type;
template <typename T>
using is_unsigned_int128 =
typename std::conditional<std::is_same<T, __uint128_t>::value
or std::is_same<T, unsigned __int128>::value,
std::true_type,
std::false_type>::type;
template <typename T>
using is_integral =
typename std::conditional<std::is_integral<T>::value or is_signed_int128<T>::value
or is_unsigned_int128<T>::value,
std::true_type,
std::false_type>::type;
template <typename T>
using is_signed = typename std::conditional<std::is_signed<T>::value or is_signed_int128<T>::value,
std::true_type,
std::false_type>::type;
template <typename T>
using is_unsigned =
typename std::conditional<std::is_unsigned<T>::value or is_unsigned_int128<T>::value,
std::true_type,
std::false_type>::type;
template <typename T>
using make_unsigned_int128 =
typename std::conditional<std::is_same<T, __int128_t>::value, __uint128_t, unsigned __int128>;
template <typename 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 <typename T> using is_integral = std::enable_if_t<std::is_integral<T>::value>;
template <typename T> using is_signed = std::enable_if_t<std::is_signed<T>::value>;
template <typename T> using is_unsigned = std::enable_if_t<std::is_unsigned<T>::value>;
template <typename T> using to_unsigned = std::make_unsigned<T>;
#endif // _MSC_VER
template <typename T> using is_integral_t = std::enable_if_t<is_integral<T>::value>;
template <typename T> using is_signed_t = std::enable_if_t<is_signed<T>::value>;
template <typename T> using is_unsigned_t = std::enable_if_t<is_unsigned<T>::value>;
template <typename T>
using is_function_pointer =
typename std::conditional<std::is_pointer_v<T> && std::is_function_v<std::remove_pointer_t<T>>,
std::true_type,
std::false_type>::type;
template <typename T, std::enable_if_t<is_function_pointer<T>::value> * = nullptr>
struct is_two_args_function_pointer : std::false_type {};
template <typename R, typename T1, typename T2>
struct is_two_args_function_pointer<R (*)(T1, T2)> : std::true_type {};
template <typename T>
using is_two_args_function_pointer_t = std::enable_if_t<is_two_args_function_pointer<T>::value>;
namespace type_traits {
struct istream_tag {};
struct ostream_tag {};
} // namespace type_traits
template <typename T>
using is_standard_istream = typename std::conditional<std::is_same<T, std::istream>::value
|| std::is_same<T, std::ifstream>::value,
std::true_type,
std::false_type>::type;
template <typename T>
using is_standard_ostream = typename std::conditional<std::is_same<T, std::ostream>::value
|| std::is_same<T, std::ofstream>::value,
std::true_type,
std::false_type>::type;
template <typename T> using is_user_defined_istream = std::is_base_of<type_traits::istream_tag, T>;
template <typename T> using is_user_defined_ostream = std::is_base_of<type_traits::ostream_tag, T>;
template <typename T>
using is_istream =
typename std::conditional<is_standard_istream<T>::value || is_user_defined_istream<T>::value,
std::true_type,
std::false_type>::type;
template <typename T>
using is_ostream =
typename std::conditional<is_standard_ostream<T>::value || is_user_defined_ostream<T>::value,
std::true_type,
std::false_type>::type;
template <typename T> using is_istream_t = std::enable_if_t<is_istream<T>::value>;
template <typename T> using is_ostream_t = std::enable_if_t<is_ostream<T>::value>;
} // namespace kk2
#endif // KK2_TYPE_TRAITS_TYPE_TRAITS_HPP
// なんかoj verifyはプロトタイプ宣言が落ちる
namespace impl {
struct read {
template <class IStream, class T>
inline static void all_read(IStream &is, T &x) {
is >> x;
}
template <class IStream, class T, class U>
inline static void all_read(IStream &is, std::pair<T, U> &p) {
all_read(is, p.first);
all_read(is, p.second);
}
template <class IStream, class T>
inline static void all_read(IStream &is, std::vector<T> &v) {
for (T &x : v) all_read(is, x);
}
template <class IStream, class T, size_t F>
inline static void all_read(IStream &is, std::array<T, F> &a) {
for (T &x : a) all_read(is, x);
}
};
struct write {
template <class OStream, class T>
inline static void all_write(OStream &os, const T &x) {
os << x;
}
template <class OStream, class T, class U>
inline static void all_write(OStream &os, const std::pair<T, U> &p) {
all_write(os, p.first);
all_write(os, ' ');
all_write(os, p.second);
}
template <class OStream, class T>
inline static void all_write(OStream &os, const std::vector<T> &v) {
for (int i = 0; i < (int)v.size(); ++i) {
if (i) all_write(os, ' ');
all_write(os, v[i]);
}
}
template <class OStream, class T, size_t F>
inline static void all_write(OStream &os, const std::array<T, F> &a) {
for (int i = 0; i < (int)F; ++i) {
if (i) all_write(os, ' ');
all_write(os, a[i]);
}
}
};
} // namespace impl
template <class IStream, class T, class U, kk2::is_istream_t<IStream> * = nullptr>
IStream &operator>>(IStream &is, std::pair<T, U> &p) {
impl::read::all_read(is, p);
return is;
}
template <class IStream, class T, kk2::is_istream_t<IStream> * = nullptr>
IStream &operator>>(IStream &is, std::vector<T> &v) {
impl::read::all_read(is, v);
return is;
}
template <class IStream, class T, size_t F, kk2::is_istream_t<IStream> * = nullptr>
IStream &operator>>(IStream &is, std::array<T, F> &a) {
impl::read::all_read(is, a);
return is;
}
template <class OStream, class T, class U, kk2::is_ostream_t<OStream> * = nullptr>
OStream &operator<<(OStream &os, const std::pair<T, U> &p) {
impl::write::all_write(os, p);
return os;
}
template <class OStream, class T, kk2::is_ostream_t<OStream> * = nullptr>
OStream &operator<<(OStream &os, const std::vector<T> &v) {
impl::write::all_write(os, v);
return os;
}
template <class OStream, class T, size_t F, kk2::is_ostream_t<OStream> * = nullptr>
OStream &operator<<(OStream &os, const std::array<T, F> &a) {
impl::write::all_write(os, a);
return os;
}
#endif // KK2_TEMPLATE_IO_UTIL_HPP
#ifndef KK2_TEMPLATE_MACROS_HPP
#define KK2_TEMPLATE_MACROS_HPP 1
#define rep1(a) for (long long _ = 0; _ < (long long)(a); ++_)
#define rep2(i, a) for (long long i = 0; i < (long long)(a); ++i)
#define rep3(i, a, b) for (long long i = (a); i < (long long)(b); ++i)
#define repi2(i, a) for (long long i = (a) - 1; i >= 0; --i)
#define repi3(i, a, b) for (long long i = (a) - 1; i >= (long long)(b); --i)
#define overload3(a, b, c, d, ...) d
#define rep(...) overload3(__VA_ARGS__, rep3, rep2, rep1)(__VA_ARGS__)
#define repi(...) overload3(__VA_ARGS__, repi3, repi2, rep1)(__VA_ARGS__)
#define fi first
#define se second
#define all(p) begin(p), end(p)
#endif // KK2_TEMPLATE_MACROS_HPP
struct FastIOSetUp {
FastIOSetUp() {
std::ios::sync_with_stdio(false);
std::cin.tie(nullptr);
}
} fast_io_set_up;
auto &kin = std::cin;
auto &kout = std::cout;
auto (*kendl)(std::ostream &) = std::endl<char, std::char_traits<char>>;
void Yes(bool b = 1) {
kout << (b ? "Yes\n" : "No\n");
}
void No(bool b = 1) {
kout << (b ? "No\n" : "Yes\n");
}
void YES(bool b = 1) {
kout << (b ? "YES\n" : "NO\n");
}
void NO(bool b = 1) {
kout << (b ? "NO\n" : "YES\n");
}
void yes(bool b = 1) {
kout << (b ? "yes\n" : "no\n");
}
void no(bool b = 1) {
kout << (b ? "no\n" : "yes\n");
}
template <class T, class S> inline bool chmax(T &a, const S &b) {
return (a < b ? a = b, 1 : 0);
}
template <class T, class S> inline bool chmin(T &a, const S &b) {
return (a > b ? a = b, 1 : 0);
}
std::istream &operator>>(std::istream &is, u128 &x) {
std::string s;
is >> s;
x = 0;
for (char c : s) {
assert('0' <= c && c <= '9');
x = x * 10 + c - '0';
}
return is;
}
std::istream &operator>>(std::istream &is, i128 &x) {
std::string s;
is >> s;
bool neg = s[0] == '-';
x = 0;
for (int i = neg; i < (int)s.size(); i++) {
assert('0' <= s[i] && s[i] <= '9');
x = x * 10 + s[i] - '0';
}
if (neg) x = -x;
return is;
}
std::ostream &operator<<(std::ostream &os, u128 x) {
if (x == 0) return os << '0';
std::string s;
while (x) {
s.push_back('0' + x % 10);
x /= 10;
}
std::reverse(s.begin(), s.end());
return os << s;
}
std::ostream &operator<<(std::ostream &os, i128 x) {
if (x == 0) return os << '0';
if (x < 0) {
os << '-';
x = -x;
}
std::string s;
while (x) {
s.push_back('0' + x % 10);
x /= 10;
}
std::reverse(s.begin(), s.end());
return os << s;
}
#endif // KK2_TEMPLATE_PROCON_HPP
#ifndef KK2_TEMPLATE_DEBUG_HPP
#define KK2_TEMPLATE_DEBUG_HPP 1
#ifndef KK2_TYPE_TRAITS_MEMBER_HPP
#define KK2_TYPE_TRAITS_MEMBER_HPP 1
namespace kk2 {
#define HAS_MEMBER_FUNC(member) \
template <typename T, typename... Ts> struct has_member_func_##member##_impl { \
template <typename U> \
static std::true_type check(decltype(std::declval<U>().member(std::declval<Ts>()...)) *); \
template <typename U> static std::false_type check(...); \
using type = decltype(check<T>(nullptr)); \
}; \
template <typename T, typename... Ts> \
struct has_member_func_##member : has_member_func_##member##_impl<T, Ts...>::type {}; \
template <typename T, typename... Ts> \
using has_member_func_##member##_t = \
std::enable_if_t<has_member_func_##member<T, Ts...>::value>; \
template <typename T, typename... Ts> \
using not_has_member_func_##member##_t = \
std::enable_if_t<!has_member_func_##member<T, Ts...>::value>;
#define HAS_MEMBER_VAR(member) \
template <typename T> struct has_member_var_##member##_impl { \
template <typename U> static std::true_type check(decltype(std::declval<U>().member) *); \
template <typename U> static std::false_type check(...); \
using type = decltype(check<T>(nullptr)); \
}; \
template <typename T> \
struct has_member_var_##member : has_member_var_##member##_impl<T>::type {}; \
template <typename T> \
using has_member_var_##member##_t = std::enable_if_t<has_member_var_##member<T>::value>; \
template <typename T> \
using not_has_member_var_##member##_t = std::enable_if_t<!has_member_var_##member<T>::value>;
HAS_MEMBER_FUNC(debug_output)
HAS_MEMBER_FUNC(val)
#undef HAS_MEMBER_FUNC
#undef HAS_MEMBER_VAR
} // namespace kk2
#endif // KK2_TYPE_TRAITS_MEMBER_HPP
namespace kk2 {
namespace debug {
#ifdef KK2
template <class OStream, is_ostream_t<OStream> *> void output(OStream &os);
template <class OStream, class T, is_ostream_t<OStream> *> void output(OStream &os, const T &t);
template <class OStream, class T, is_ostream_t<OStream> *>
void output(OStream &os, const std::vector<T> &v);
template <class OStream, class T, is_ostream_t<OStream> *>
void output(OStream &os, const std::vector<std::vector<T>> &d);
template <class OStream, class T, size_t F, is_ostream_t<OStream> *>
void output(OStream &os, const std::array<T, F> &a);
template <class OStream, class T, class U, is_ostream_t<OStream> *>
void output(OStream &os, const std::pair<T, U> &p);
template <class OStream, class T, is_ostream_t<OStream> *>
void output(OStream &os, const std::queue<T> &q);
template <class OStream, class T, class Container, class Compare, is_ostream_t<OStream> *>
void output(OStream &os, const std::priority_queue<T, Container, Compare> &q);
template <class OStream, class T, is_ostream_t<OStream> *>
void output(OStream &os, const std::deque<T> &d);
template <class OStream, class T, is_ostream_t<OStream> *>
void output(OStream &os, const std::stack<T> &s);
template <class OStream, class Key, class Compare, class Allocator, is_ostream_t<OStream> *>
void output(OStream &os, const std::set<Key, Compare, Allocator> &s);
template <class OStream, class Key, class Compare, class Allocator, is_ostream_t<OStream> *>
void output(OStream &os, const std::multiset<Key, Compare, Allocator> &s);
template <class OStream,
class Key,
class Hash,
class KeyEqual,
class Allocator,
is_ostream_t<OStream> *>
void output(OStream &os, const std::unordered_set<Key, Hash, KeyEqual, Allocator> &s);
template <class OStream,
class Key,
class Hash,
class KeyEqual,
class Allocator,
is_ostream_t<OStream> *>
void output(OStream &os, const std::unordered_multiset<Key, Hash, KeyEqual, Allocator> &s);
template <class OStream,
class Key,
class T,
class Compare,
class Allocator,
is_ostream_t<OStream> *>
void output(OStream &os, const std::map<Key, T, Compare, Allocator> &m);
template <class OStream,
class Key,
class T,
class Hash,
class KeyEqual,
class Allocator,
is_ostream_t<OStream> *>
void output(OStream &os, const std::unordered_map<Key, T, Hash, KeyEqual, Allocator> &m);
template <class OStream, is_ostream_t<OStream> * = nullptr> void output(OStream &) {
}
template <class OStream, class T, is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const T &t) {
if constexpr (has_member_func_debug_output<T, OStream &>::value) {
t.debug_output(os);
} else {
os << t;
}
}
template <class OStream, class T, is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const std::vector<T> &v) {
os << "[";
for (int i = 0; i < (int)v.size(); i++) {
output(os, v[i]);
if (i + 1 != (int)v.size()) os << ", ";
}
os << "]";
}
template <class OStream, class T, is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const std::vector<std::vector<T>> &d) {
os << "[\n";
for (int i = 0; i < (int)d.size(); i++) {
output(os, d[i]);
output(os, "\n");
}
os << "]";
}
template <class OStream, class T, size_t F, is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const std::array<T, F> &a) {
os << "[";
for (int i = 0; i < (int)F; i++) {
output(os, a[i]);
if (i + 1 != (int)F) os << ", ";
}
os << "]";
}
template <class OStream, class T, class U, is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const std::pair<T, U> &p) {
os << "(";
output(os, p.first);
os << ", ";
output(os, p.second);
os << ")";
}
template <class OStream, class T, is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const std::queue<T> &q) {
os << "[";
std::queue<T> tmp = q;
while (!tmp.empty()) {
output(os, tmp.front());
tmp.pop();
if (!tmp.empty()) os << ", ";
}
os << "]";
}
template <class OStream, class T, class Container, class Compare, is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const std::priority_queue<T, Container, Compare> &q) {
os << "[";
std::priority_queue<T, Container, Compare> tmp = q;
while (!tmp.empty()) {
output(os, tmp.top());
tmp.pop();
if (!tmp.empty()) os << ", ";
}
os << "]";
}
template <class OStream, class T, is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const std::deque<T> &d) {
os << "[";
std::deque<T> tmp = d;
while (!tmp.empty()) {
output(os, tmp.front());
tmp.pop_front();
if (!tmp.empty()) os << ", ";
}
os << "]";
}
template <class OStream, class T, is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const std::stack<T> &s) {
os << "[";
std::stack<T> tmp = s;
std::vector<T> v;
while (!tmp.empty()) {
v.push_back(tmp.top());
tmp.pop();
}
for (int i = (int)v.size() - 1; i >= 0; i--) {
output(os, v[i]);
if (i != 0) os << ", ";
}
os << "]";
}
template <class OStream,
class Key,
class Compare,
class Allocator,
is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const std::set<Key, Compare, Allocator> &s) {
os << "{";
std::set<Key, Compare, Allocator> tmp = s;
for (auto it = tmp.begin(); it != tmp.end(); ++it) {
output(os, *it);
if (std::next(it) != tmp.end()) os << ", ";
}
os << "}";
}
template <class OStream,
class Key,
class Compare,
class Allocator,
is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const std::multiset<Key, Compare, Allocator> &s) {
os << "{";
std::multiset<Key, Compare, Allocator> tmp = s;
for (auto it = tmp.begin(); it != tmp.end(); ++it) {
output(os, *it);
if (std::next(it) != tmp.end()) os << ", ";
}
os << "}";
}
template <class OStream,
class Key,
class Hash,
class KeyEqual,
class Allocator,
is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const std::unordered_set<Key, Hash, KeyEqual, Allocator> &s) {
os << "{";
std::unordered_set<Key, Hash, KeyEqual, Allocator> tmp = s;
for (auto it = tmp.begin(); it != tmp.end(); ++it) {
output(os, *it);
if (std::next(it) != tmp.end()) os << ", ";
}
os << "}";
}
template <class OStream,
class Key,
class Hash,
class KeyEqual,
class Allocator,
is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const std::unordered_multiset<Key, Hash, KeyEqual, Allocator> &s) {
os << "{";
std::unordered_multiset<Key, Hash, KeyEqual, Allocator> tmp = s;
for (auto it = tmp.begin(); it != tmp.end(); ++it) {
output(os, *it);
if (std::next(it) != tmp.end()) os << ", ";
}
os << "}";
}
template <class OStream,
class Key,
class T,
class Compare,
class Allocator,
is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const std::map<Key, T, Compare, Allocator> &m) {
os << "{";
std::map<Key, T, Compare, Allocator> tmp = m;
for (auto it = tmp.begin(); it != tmp.end(); ++it) {
output(os, it->first);
os << ": ";
output(os, it->second);
if (std::next(it) != tmp.end()) os << ", ";
}
os << "}";
}
template <class OStream,
class Key,
class T,
class Hash,
class KeyEqual,
class Allocator,
is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const std::unordered_map<Key, T, Hash, KeyEqual, Allocator> &m) {
os << "{";
std::unordered_map<Key, T, Hash, KeyEqual, Allocator> tmp = m;
for (auto it = tmp.begin(); it != tmp.end(); ++it) {
output(os, it->first);
os << ": ";
output(os, it->second);
if (std::next(it) != tmp.end()) os << ", ";
}
os << "}";
}
template <class OStream, class T, class... Args, is_ostream_t<OStream> * = nullptr>
void output(OStream &os, const T &t, const Args &...args) {
output(os, t);
os << ' ';
output(os, args...);
}
template <class OStream, is_ostream_t<OStream> * = nullptr> void outputln(OStream &os) {
os << '\n';
os.flush();
}
template <class OStream, class T, class... Args, is_ostream_t<OStream> * = nullptr>
void outputln(OStream &os, const T &t, const Args &...args) {
output(os, t, args...);
os << '\n';
os.flush();
}
#else
template <class OStream, class... Args, is_ostream_t<OStream> * = nullptr>
void output(OStream &, const Args &...) {
}
template <class OStream, class... Args, is_ostream_t<OStream> * = nullptr>
void outputln(OStream &, const Args &...) {
}
#endif // KK2
} // namespace debug
} // namespace kk2
#endif // KK2_TEMPLATE_DEBUG_HPP
#ifndef KK2_MODINT_MODINT_HPP
#define KK2_MODINT_MODINT_HPP 1
namespace kk2 {
template <int p> struct ModInt {
using mint = ModInt;
public:
static int Mod;
constexpr static unsigned int getmod() {
if (p > 0) return p;
else return Mod;
}
static void setmod(int Mod_) {
assert(1 <= Mod_);
Mod = Mod_;
}
static mint raw(int v) {
mint x;
x._v = v;
return x;
}
constexpr ModInt() : _v(0) {}
template <class T, is_integral_t<T> * = nullptr> constexpr ModInt(T v) {
if constexpr (is_signed<T>::value) {
v = v % (long long)(getmod());
if (v < 0) v += getmod();
_v = v;
} else if constexpr (is_unsigned<T>::value) {
_v = v %= getmod();
} else {
ModInt();
}
}
unsigned int val() const { return _v; }
mint &operator++() {
_v++;
if (_v == getmod()) _v = 0;
return *this;
}
mint &operator--() {
if (_v == 0) _v = getmod();
_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 >= getmod()) _v -= getmod();
return *this;
}
mint &operator-=(const mint &rhs) {
_v += getmod() - rhs._v;
if (_v >= getmod()) _v -= getmod();
return *this;
}
mint &operator*=(const mint &rhs) {
unsigned long long z = _v;
z *= rhs._v;
z %= getmod();
_v = z;
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;
n %= (long long)getmod() - 1;
while (n) {
if (n & 1) r *= x;
x *= x;
n >>= 1;
}
return r;
}
mint inv() const {
long long s = getmod(), t = _v;
long long m0 = 0, m1 = 1;
while (t) {
long long u = s / t;
s -= t * u;
m0 -= m1 * u;
std::swap(s, t);
std::swap(m0, m1);
}
if (m0 < 0) m0 += getmod() / s;
return m0;
}
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; }
template <class OStream, is_ostream_t<OStream> * = nullptr>
friend OStream &operator<<(OStream &os, const mint &mint_) {
os << mint_._v;
return os;
}
template <class IStream, is_istream_t<IStream> * = nullptr>
friend IStream &operator>>(IStream &is, mint &mint_) {
long long x;
is >> x;
mint_ = mint(x);
return is;
}
private:
unsigned int _v;
};
template <int p> int ModInt<p>::Mod = 998244353;
using mint998 = ModInt<998244353>;
using mint107 = ModInt<1000000007>;
} // namespace kk2
#endif // KK2_MODINT_MODINT_HPP
using namespace std;
void solve() {
i64 m;
kin >> m;
string s;
kin >> s;
kk2::mint998 res = 0;
kk2::mint998 pw = 1;
vc<kk2::mint998> count(s.size()), sum(s.size());
repi (i, s.size()) {
int j = s[i] - '0';
count[i] = (m - 1 - j) / 10 + 1;
sum[i] += count[i] * j;
sum[i] += count[i] * (count[i] - 1) / 2 * 10;
sum[i] *= pw;
if (i == 0 and j == 0) count[i]--;
pw *= m;
}
kk2::debug::outputln(kout, count);
kk2::debug::outputln(kout, sum);
kk2::mint998 all_count = 1;
rep (i, s.size()) all_count *= count[i];
rep (i, s.size()) {
res += sum[i] * all_count / count[i];
}
kout << res << kendl;
}
int main() {
int t = 1;
// kin >> t;
rep (t) solve();
return 0;
}
// Author: kk2
// converted by https://github.com/kk2a/cpp-bundle
// 2025-04-04 23:09:42