結果
問題 | No.1648 Sum of Powers |
ユーザー |
|
提出日時 | 2021-08-13 22:01:17 |
言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
結果 |
RE
|
実行時間 | - |
コード長 | 28,760 bytes |
コンパイル時間 | 3,530 ms |
コンパイル使用メモリ | 285,952 KB |
最終ジャッジ日時 | 2025-01-23 19:12:02 |
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 * 2 |
other | AC * 5 RE * 24 TLE * 27 |
コンパイルメッセージ
main.cpp:440:7: warning: ‘template<class _Category, class _Tp, class _Distance, class _Pointer, class _Reference> struct std::iterator’ is deprecated [-Wdeprecated-declarations] 440 | : iterator<bidirectional_iterator_tag, Data, ptrdiff_t, Data*, Data&> { | ^~~~~~~~ In file included from /usr/include/c++/13/bits/stl_algobase.h:65, from /usr/include/c++/13/algorithm:60, from main.cpp:11: /usr/include/c++/13/bits/stl_iterator_base_types.h:127:34: note: declared here 127 | struct _GLIBCXX17_DEPRECATED iterator | ^~~~~~~~ main.cpp:442:7: warning: ‘template<class _Category, class _Tp, class _Distance, class _Pointer, class _Reference> struct std::iterator’ is deprecated [-Wdeprecated-declarations] 442 | iterator<bidirectional_iterator_tag, Data, ptrdiff_t, Data*, Data&>; | ^~~~~~~~ /usr/include/c++/13/bits/stl_iterator_base_types.h:127:34: note: declared here 127 | struct _GLIBCXX17_DEPRECATED iterator | ^~~~~~~~
ソースコード
/*** date : 2021-08-13 22:01:12*/#define NDEBUGusing namespace std;// intrinstic#include <immintrin.h>#include <algorithm>#include <array>#include <bitset>#include <cassert>#include <cctype>#include <cfenv>#include <cfloat>#include <chrono>#include <cinttypes>#include <climits>#include <cmath>#include <complex>#include <cstdarg>#include <cstddef>#include <cstdint>#include <cstdio>#include <cstdlib>#include <cstring>#include <deque>#include <fstream>#include <functional>#include <initializer_list>#include <iomanip>#include <ios>#include <iostream>#include <istream>#include <iterator>#include <limits>#include <list>#include <map>#include <memory>#include <new>#include <numeric>#include <ostream>#include <queue>#include <random>#include <set>#include <sstream>#include <stack>#include <streambuf>#include <string>#include <tuple>#include <type_traits>#include <typeinfo>#include <unordered_map>#include <unordered_set>#include <utility>#include <vector>// utilitynamespace Nyaan {using ll = long long;using i64 = long long;using u64 = unsigned long long;using i128 = __int128_t;using u128 = __uint128_t;template <typename T>using V = vector<T>;template <typename T>using VV = vector<vector<T>>;using vi = vector<int>;using vl = vector<long long>;using vd = V<double>;using vs = V<string>;using vvi = vector<vector<int>>;using vvl = vector<vector<long long>>;template <typename T, typename U>struct P : pair<T, U> {template <typename... Args>P(Args... args) : pair<T, U>(args...) {}using pair<T, U>::first;using pair<T, U>::second;T &x() { return first; }const T &x() const { return first; }U &y() { return second; }const U &y() const { return second; }P &operator+=(const P &r) {first += r.first;second += r.second;return *this;}P &operator-=(const P &r) {first -= r.first;second -= r.second;return *this;}P &operator*=(const P &r) {first *= r.first;second *= r.second;return *this;}P operator+(const P &r) const { return P(*this) += r; }P operator-(const P &r) const { return P(*this) -= r; }P operator*(const P &r) const { return P(*this) *= r; }};using pl = P<ll, ll>;using pi = P<int, int>;using vp = V<pl>;constexpr int inf = 1001001001;constexpr long long infLL = 4004004004004004004LL;template <typename T>int sz(const T &t) {return t.size();}template <typename T, typename U>inline bool amin(T &x, U y) {return (y < x) ? (x = y, true) : false;}template <typename T, typename U>inline bool amax(T &x, U y) {return (x < y) ? (x = y, true) : false;}template <typename T>inline T Max(const vector<T> &v) {return *max_element(begin(v), end(v));}template <typename T>inline T Min(const vector<T> &v) {return *min_element(begin(v), end(v));}template <typename T>inline long long Sum(const vector<T> &v) {return accumulate(begin(v), end(v), 0LL);}template <typename T>int lb(const vector<T> &v, const T &a) {return lower_bound(begin(v), end(v), a) - begin(v);}template <typename T>int ub(const vector<T> &v, const T &a) {return upper_bound(begin(v), end(v), a) - begin(v);}constexpr long long TEN(int n) {long long ret = 1, x = 10;for (; n; x *= x, n >>= 1) ret *= (n & 1 ? x : 1);return ret;}template <typename T, typename U>pair<T, U> mkp(const T &t, const U &u) {return make_pair(t, u);}template <typename T>vector<T> mkrui(const vector<T> &v, bool rev = false) {vector<T> ret(v.size() + 1);if (rev) {for (int i = int(v.size()) - 1; i >= 0; i--) ret[i] = v[i] + ret[i + 1];} else {for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i];}return ret;};template <typename T>vector<T> mkuni(const vector<T> &v) {vector<T> ret(v);sort(ret.begin(), ret.end());ret.erase(unique(ret.begin(), ret.end()), ret.end());return ret;}template <typename F>vector<int> mkord(int N, F f) {vector<int> ord(N);iota(begin(ord), end(ord), 0);sort(begin(ord), end(ord), f);return ord;}template <typename T>vector<int> mkinv(vector<T> &v) {int max_val = *max_element(begin(v), end(v));vector<int> inv(max_val + 1, -1);for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i;return inv;}} // namespace Nyaan// bit operationnamespace Nyaan {__attribute__((target("popcnt"))) inline int popcnt(const u64 &a) {return _mm_popcnt_u64(a);}inline int lsb(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }inline int ctz(const u64 &a) { return a ? __builtin_ctzll(a) : 64; }inline int msb(const u64 &a) { return a ? 63 - __builtin_clzll(a) : -1; }template <typename T>inline int gbit(const T &a, int i) {return (a >> i) & 1;}template <typename T>inline void sbit(T &a, int i, bool b) {if (gbit(a, i) != b) a ^= T(1) << i;}constexpr long long PW(int n) { return 1LL << n; }constexpr long long MSK(int n) { return (1LL << n) - 1; }} // namespace Nyaan// inoutnamespace Nyaan {template <typename T, typename U>ostream &operator<<(ostream &os, const pair<T, U> &p) {os << p.first << " " << p.second;return os;}template <typename T, typename U>istream &operator>>(istream &is, pair<T, U> &p) {is >> p.first >> p.second;return is;}template <typename T>ostream &operator<<(ostream &os, const vector<T> &v) {int s = (int)v.size();for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i];return os;}template <typename T>istream &operator>>(istream &is, vector<T> &v) {for (auto &x : v) is >> x;return is;}void in() {}template <typename T, class... U>void in(T &t, U &... u) {cin >> t;in(u...);}void out() { cout << "\n"; }template <typename T, class... U, char sep = ' '>void out(const T &t, const U &... u) {cout << t;if (sizeof...(u)) cout << sep;out(u...);}void outr() {}template <typename T, class... U, char sep = ' '>void outr(const T &t, const U &... u) {cout << t;outr(u...);}struct IoSetupNya {IoSetupNya() {cin.tie(nullptr);ios::sync_with_stdio(false);cout << fixed << setprecision(15);cerr << fixed << setprecision(7);}} iosetupnya;} // namespace Nyaan// debugnamespace DebugImpl {template <typename U, typename = void>struct is_specialize : false_type {};template <typename U>struct is_specialize<U, typename conditional<false, typename U::iterator, void>::type>: true_type {};template <typename U>struct is_specialize<U, typename conditional<false, decltype(U::first), void>::type>: true_type {};template <typename U>struct is_specialize<U, enable_if_t<is_integral<U>::value, void>> : true_type {};void dump(const char& t) { cerr << t; }void dump(const string& t) { cerr << t; }void dump(const bool& t) { cerr << (t ? "true" : "false"); }template <typename U,enable_if_t<!is_specialize<U>::value, nullptr_t> = nullptr>void dump(const U& t) {cerr << t;}template <typename T>void dump(const T& t, enable_if_t<is_integral<T>::value>* = nullptr) {string res;if (t == Nyaan::inf) res = "inf";if constexpr (is_signed<T>::value) {if (t == -Nyaan::inf) res = "-inf";}if constexpr (sizeof(T) == 8) {if (t == Nyaan::infLL) res = "inf";if constexpr (is_signed<T>::value) {if (t == -Nyaan::infLL) res = "-inf";}}if (res.empty()) res = to_string(t);cerr << res;}template <typename T, typename U>void dump(const pair<T, U>&);template <typename T>void dump(const pair<T*, int>&);template <typename T>void dump(const T& t,enable_if_t<!is_void<typename T::iterator>::value>* = nullptr) {cerr << "[ ";for (auto it = t.begin(); it != t.end();) {dump(*it);cerr << (++it == t.end() ? "" : ", ");}cerr << " ]";}template <typename T, typename U>void dump(const pair<T, U>& t) {cerr << "( ";dump(t.first);cerr << ", ";dump(t.second);cerr << " )";}template <typename T>void dump(const pair<T*, int>& t) {cerr << "[ ";for (int i = 0; i < t.second; i++) {dump(t.first[i]);cerr << (i == t.second - 1 ? "" : ", ");}cerr << " ]";}void trace() { cerr << endl; }template <typename Head, typename... Tail>void trace(Head&& head, Tail&&... tail) {cerr << " ";dump(head);if (sizeof...(tail) != 0) cerr << ",";trace(forward<Tail>(tail)...);}} // namespace DebugImpl#ifdef NyaanDebug#define trc(...) \do { \cerr << "## " << #__VA_ARGS__ << " = "; \DebugImpl::trace(__VA_ARGS__); \} while (0)#else#define trc(...) (void(0))#endif// macro#define each(x, v) for (auto&& x : v)#define each2(x, y, v) for (auto&& [x, y] : v)#define all(v) (v).begin(), (v).end()#define rep(i, N) for (long long i = 0; i < (long long)(N); i++)#define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--)#define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++)#define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--)#define reg(i, a, b) for (long long i = (a); i < (b); i++)#define regr(i, a, b) for (long long i = (b)-1; i >= (a); i--)#define fi first#define se second#define ini(...) \int __VA_ARGS__; \in(__VA_ARGS__)#define inl(...) \long long __VA_ARGS__; \in(__VA_ARGS__)#define ins(...) \string __VA_ARGS__; \in(__VA_ARGS__)#define in2(s, t) \for (int i = 0; i < (int)s.size(); i++) { \in(s[i], t[i]); \}#define in3(s, t, u) \for (int i = 0; i < (int)s.size(); i++) { \in(s[i], t[i], u[i]); \}#define in4(s, t, u, v) \for (int i = 0; i < (int)s.size(); i++) { \in(s[i], t[i], u[i], v[i]); \}#define die(...) \do { \Nyaan::out(__VA_ARGS__); \return; \} while (0)namespace Nyaan {void solve();}int main() { Nyaan::solve(); }//namespace HashMapImpl {using u32 = uint32_t;using u64 = uint64_t;template <typename Key, typename Data>struct HashMapBase;template <typename Key, typename Data>struct itrB: iterator<bidirectional_iterator_tag, Data, ptrdiff_t, Data*, Data&> {using base =iterator<bidirectional_iterator_tag, Data, ptrdiff_t, Data*, Data&>;using ptr = typename base::pointer;using ref = typename base::reference;u32 i;HashMapBase<Key, Data>* p;explicit constexpr itrB() : i(0), p(nullptr) {}explicit constexpr itrB(u32 _i, HashMapBase<Key, Data>* _p) : i(_i), p(_p) {}explicit constexpr itrB(u32 _i, const HashMapBase<Key, Data>* _p): i(_i), p(const_cast<HashMapBase<Key, Data>*>(_p)) {}friend void swap(itrB& l, itrB& r) { swap(l.i, r.i), swap(l.p, r.p); }friend bool operator==(const itrB& l, const itrB& r) { return l.i == r.i; }friend bool operator!=(const itrB& l, const itrB& r) { return l.i != r.i; }const ref operator*() const {return const_cast<const HashMapBase<Key, Data>*>(p)->data[i];}ref operator*() { return p->data[i]; }ptr operator->() const { return &(p->data[i]); }itrB& operator++() {assert(i != p->cap && "itr::operator++()");do {i++;if (i == p->cap) break;if (p->flag[i] == true && p->dflag[i] == false) break;} while (true);return (*this);}itrB operator++(int) {itrB it(*this);++(*this);return it;}itrB& operator--() {do {i--;if (p->flag[i] == true && p->dflag[i] == false) break;assert(i != 0 && "itr::operator--()");} while (true);return (*this);}itrB operator--(int) {itrB it(*this);--(*this);return it;}};template <typename Key, typename Data>struct HashMapBase {using u32 = uint32_t;using u64 = uint64_t;using iterator = itrB<Key, Data>;using itr = iterator;protected:template <typename K>inline u64 randomized(const K& key) const {return u64(key) ^ r;}template <typename K,enable_if_t<is_same<K, Key>::value, nullptr_t> = nullptr,enable_if_t<is_integral<K>::value, nullptr_t> = nullptr>inline u32 inner_hash(const K& key) const {return (randomized(key) * 11995408973635179863ULL) >> shift;}template <typename K, enable_if_t<is_same<K, Key>::value, nullptr_t> = nullptr,enable_if_t<is_integral<decltype(K::first)>::value, nullptr_t> = nullptr,enable_if_t<is_integral<decltype(K::second)>::value, nullptr_t> = nullptr>inline u32 inner_hash(const K& key) const {u64 a = randomized(key.first), b = randomized(key.second);a *= 11995408973635179863ULL;b *= 10150724397891781847ULL;return (a + b) >> shift;}template <typename K,enable_if_t<is_same<K, Key>::value, nullptr_t> = nullptr,enable_if_t<is_integral<typename K::value_type>::value, nullptr_t> =nullptr>inline u32 inner_hash(const K& key) const {static constexpr u64 mod = (1LL << 61) - 1;static constexpr u64 base = 950699498548472943ULL;u64 res = 0;for (auto& elem : key) {__uint128_t x = __uint128_t(res) * base + (randomized(elem) & mod);res = (x & mod) + (x >> 61);}__uint128_t x = __uint128_t(res) * base;res = (x & mod) + (x >> 61);if (res >= mod) res -= mod;return res >> (shift - 3);}template <typename D = Data,enable_if_t<is_same<D, Key>::value, nullptr_t> = nullptr>inline u32 hash(const D& dat) const {return inner_hash(dat);}template <typename D = Data,enable_if_t<is_same<decltype(D::first), Key>::value, nullptr_t> = nullptr>inline u32 hash(const D& dat) const {return inner_hash(dat.first);}template <typename D = Data,enable_if_t<is_same<D, Key>::value, nullptr_t> = nullptr>inline Key dtok(const D& dat) const {return dat;}template <typename D = Data,enable_if_t<is_same<decltype(D::first), Key>::value, nullptr_t> = nullptr>inline Key dtok(const D& dat) const {return dat.first;}void reallocate(u32 ncap) {vector<Data> ndata(ncap);vector<bool> nf(ncap);shift = 64 - __lg(ncap);for (u32 i = 0; i < cap; i++) {if (flag[i] == true && dflag[i] == false) {u32 h = hash(data[i]);while (nf[h]) h = (h + 1) & (ncap - 1);ndata[h] = move(data[i]);nf[h] = true;}}data.swap(ndata);flag.swap(nf);cap = ncap;dflag.resize(cap);fill(std::begin(dflag), std::end(dflag), false);}inline bool extend_rate(u32 x) const { return x * 2 >= cap; }inline bool shrink_rate(u32 x) const {return HASHMAP_DEFAULT_SIZE < cap && x * 10 <= cap;}inline void extend() { reallocate(cap << 1); }inline void shrink() { reallocate(cap >> 1); }public:u32 cap, s;vector<Data> data;vector<bool> flag, dflag;u32 shift;static u64 r;static constexpr uint32_t HASHMAP_DEFAULT_SIZE = 4;explicit HashMapBase(): cap(HASHMAP_DEFAULT_SIZE),s(0),data(cap),flag(cap),dflag(cap),shift(64 - __lg(cap)) {}itr begin() const {u32 h = 0;while (h != cap) {if (flag[h] == true && dflag[h] == false) break;h++;}return itr(h, this);}itr end() const { return itr(this->cap, this); }friend itr begin(const HashMapBase& h) { return h.begin(); }friend itr end(const HashMapBase& h) { return h.end(); }itr find(const Key& key) const {u32 h = inner_hash(key);while (true) {if (flag[h] == false) return this->end();if (dtok(data[h]) == key) {if (dflag[h] == true) return this->end();return itr(h, this);}h = (h + 1) & (cap - 1);}}bool contain(const Key& key) const { return find(key) != this->end(); }itr insert(const Data& d) {u32 h = hash(d);while (true) {if (flag[h] == false) {if (extend_rate(s + 1)) {extend();h = hash(d);continue;}data[h] = d;flag[h] = true;++s;return itr(h, this);}if (dtok(data[h]) == dtok(d)) {if (dflag[h] == true) {data[h] = d;dflag[h] = false;++s;}return itr(h, this);}h = (h + 1) & (cap - 1);}}// tips for speed up :// if return value is unnecessary, make argument_2 false.itr erase(itr it, bool get_next = true) {if (it == this->end()) return this->end();s--;if (shrink_rate(s)) {Data d = data[it.i];shrink();it = find(dtok(d));}int ni = (it.i + 1) & (cap - 1);if (this->flag[ni]) {this->dflag[it.i] = true;} else {this->flag[it.i] = false;}if (get_next) ++it;return it;}itr erase(const Key& key) { return erase(find(key)); }bool empty() const { return s == 0; }int size() const { return s; }void clear() {fill(std::begin(flag), std::end(flag), false);fill(std::begin(dflag), std::end(dflag), false);s = 0;}void reserve(int n) {if (n <= 0) return;n = 1 << min(23, __lg(n) + 2);if (cap < u32(n)) reallocate(n);}};template <typename Key, typename Data>uint64_t HashMapBase<Key, Data>::r =chrono::duration_cast<chrono::nanoseconds>(chrono::high_resolution_clock::now().time_since_epoch()).count();} // namespace HashMapImpl/*** @brief Hash Map(base) (ハッシュマップ・基底クラス)*/template <typename Key, typename Val>struct HashMap : HashMapImpl::HashMapBase<Key, pair<Key, Val>> {using base = typename HashMapImpl::HashMapBase<Key, pair<Key, Val>>;using HashMapImpl::HashMapBase<Key, pair<Key, Val>>::HashMapBase;using Data = pair<Key, Val>;Val& operator[](const Key& k) {typename base::u32 h = base::inner_hash(k);while (true) {if (base::flag[h] == false) {if (base::extend_rate(base::s + 1)) {base::extend();h = base::hash(k);continue;}base::data[h].first = k;base::data[h].second = Val();base::flag[h] = true;++base::s;return base::data[h].second;}if (base::data[h].first == k) {if (base::dflag[h] == true) base::data[h].second = Val();return base::data[h].second;}h = (h + 1) & (base::cap - 1);}}typename base::itr emplace(const Key& key, const Val& val) {return base::insert(Data(key, val));}};/** @brief ハッシュマップ(連想配列)* @docs docs/hashmap/hashmap.md**///namespace inner {using i32 = int32_t;using u32 = uint32_t;using i64 = int64_t;using u64 = uint64_t;template <typename T>T gcd(T a, T b) {while (b) swap(a %= b, b);return a;}template <typename T>T inv(T a, T p) {T b = p, x = 1, y = 0;while (a) {T q = b / a;swap(a, b %= a);swap(x, y -= q * x);}assert(b == 1);return y < 0 ? y + p : y;}template <typename T, typename U>T modpow(T a, U n, T p) {T ret = 1 % p;for (; n; n >>= 1, a = U(a) * a % p)if (n & 1) ret = U(ret) * a % p;return ret;}} // namespace innerint64_t mod_log(int64_t a, int64_t b, int64_t p) {using namespace inner;if ((a %= p) < 0) a += p;if ((b %= p) < 0) b += p;int64_t f, g, r = 1 % p;for (f = 0; (g = gcd(a, p)) > 1; ++f) {if (b % g) return (r == b) ? f : -1;b /= g;p /= g;(r *= (a / g)) %= p;}if (p == 1) return f;int64_t ir = inv(r, p);(b *= ir) %= p;int64_t k = 0, ak = 1;HashMap<int64_t, int64_t> baby;for (; k * k < p; ++k) {if(baby.find(ak) == baby.end()) baby[ak] = k;(ak *= a) %= p;}int64_t iak = inv(ak, p);for (int64_t i = 0; i < k; ++i) {if (baby.find(b) != baby.end()) return f + i * k + baby[b];(b *= iak) %= p;}return -1;}//template <typename mint>std::pair<int, mint> GaussElimination(vector<vector<mint>> &a,int pivot_end = -1,bool diagonalize = false) {int H = a.size(), W = a[0].size();int rank = 0, je = pivot_end;if (je == -1) je = W;mint det = 1;for (int j = 0; j < je; j++) {int idx = -1;for (int i = rank; i < H; i++) {if (a[i][j] != mint(0)) {idx = i;break;}}if (idx == -1) {det = 0;continue;}if (rank != idx) {det = -det;swap(a[rank], a[idx]);}det *= a[rank][j];if (diagonalize && a[rank][j] != mint(1)) {mint coeff = a[rank][j].inverse();for (int k = j; k < W; k++) a[rank][k] *= coeff;}int is = diagonalize ? 0 : rank + 1;for (int i = is; i < H; i++) {if (i == rank) continue;if (a[i][j] != mint(0)) {mint coeff = a[i][j] / a[rank][j];for (int k = j; k < W; k++) a[i][k] -= a[rank][k] * coeff;}}rank++;}return make_pair(rank, det);}template <typename mint>vector<vector<mint>> inverse_matrix(const vector<vector<mint>>& a) {int N = a.size();assert(N > 0);assert(N == (int)a[0].size());vector<vector<mint>> m(N, vector<mint>(2 * N));for (int i = 0; i < N; i++) {copy(begin(a[i]), end(a[i]), begin(m[i]));m[i][N + i] = 1;}auto [rank, det] = GaussElimination(m, N, true);if (rank != N) return {};vector<vector<mint>> b(N);for (int i = 0; i < N; i++) {copy(begin(m[i]) + N, end(m[i]), back_inserter(b[i]));}return b;}template <class T>struct Matrix {vector<vector<T> > A;Matrix() = default;Matrix(int n, int m) : A(n, vector<T>(m, T())) {}Matrix(int n) : A(n, vector<T>(n, T())){};int H() const { return A.size(); }int W() const { return A[0].size(); }int size() const { return A.size(); }inline const vector<T> &operator[](int k) const { return A[k]; }inline vector<T> &operator[](int k) { return A[k]; }static Matrix I(int n) {Matrix mat(n);for (int i = 0; i < n; i++) mat[i][i] = 1;return (mat);}Matrix &operator+=(const Matrix &B) {int n = H(), m = W();assert(n == B.H() && m == B.W());for (int i = 0; i < n; i++)for (int j = 0; j < m; j++) (*this)[i][j] += B[i][j];return (*this);}Matrix &operator-=(const Matrix &B) {int n = H(), m = W();assert(n == B.H() && m == B.W());for (int i = 0; i < n; i++)for (int j = 0; j < m; j++) (*this)[i][j] -= B[i][j];return (*this);}Matrix &operator*=(const Matrix &B) {int n = H(), m = B.W(), p = W();assert(p == B.H());vector<vector<T> > C(n, vector<T>(m, T{}));for (int i = 0; i < n; i++)for (int k = 0; k < p; k++)for (int j = 0; j < m; j++) C[i][j] += (*this)[i][k] * B[k][j];A.swap(C);return (*this);}Matrix &operator^=(long long k) {Matrix B = Matrix::I(H());while (k > 0) {if (k & 1) B *= *this;*this *= *this;k >>= 1LL;}A.swap(B.A);return (*this);}Matrix operator+(const Matrix &B) const { return (Matrix(*this) += B); }Matrix operator-(const Matrix &B) const { return (Matrix(*this) -= B); }Matrix operator*(const Matrix &B) const { return (Matrix(*this) *= B); }Matrix operator^(const long long k) const { return (Matrix(*this) ^= k); }bool operator==(const Matrix &B) const {assert(H() == B.H() && W() == B.W());for (int i = 0; i < H(); i++)for (int j = 0; j < W(); j++)if (A[i][j] != B[i][j]) return false;return true;}bool operator!=(const Matrix &B) const {assert(H() == B.H() && W() == B.W());for (int i = 0; i < H(); i++)for (int j = 0; j < W(); j++)if (A[i][j] != B[i][j]) return true;return false;}friend ostream &operator<<(ostream &os, const Matrix &p) {int n = p.H(), m = p.W();for (int i = 0; i < n; i++) {os << (i ? " " : "") << "[";for (int j = 0; j < m; j++) {os << p[i][j] << (j + 1 == m ? "]\n" : ",");}}return (os);}T determinant() const {Matrix B(*this);assert(H() == W());T ret = 1;for (int i = 0; i < H(); i++) {int idx = -1;for (int j = i; j < W(); j++) {if (B[j][i] != 0) {idx = j;break;}}if (idx == -1) return 0;if (i != idx) {ret *= T(-1);swap(B[i], B[idx]);}ret *= B[i][i];T inv = T(1) / B[i][i];for (int j = 0; j < W(); j++) {B[i][j] *= inv;}for (int j = i + 1; j < H(); j++) {T a = B[j][i];if (a == 0) continue;for (int k = i; k < W(); k++) {B[j][k] -= B[i][k] * a;}}}return ret;}};/*** @brief 行列ライブラリ*/template <uint32_t mod>struct LazyMontgomeryModInt {using mint = LazyMontgomeryModInt;using i32 = int32_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;constexpr LazyMontgomeryModInt() : a(0) {}constexpr LazyMontgomeryModInt(const int64_t &b): a(reduce(u64(b % mod + mod) * n2)){};static constexpr u32 reduce(const u64 &b) {return (b + u64(u32(b) * u32(-r)) * mod) >> 32;}constexpr mint &operator+=(const mint &b) {if (i32(a += b.a - 2 * mod) < 0) a += 2 * mod;return *this;}constexpr mint &operator-=(const mint &b) {if (i32(a -= b.a) < 0) a += 2 * mod;return *this;}constexpr mint &operator*=(const mint &b) {a = reduce(u64(a) * b.a);return *this;}constexpr mint &operator/=(const mint &b) {*this *= b.inverse();return *this;}constexpr mint operator+(const mint &b) const { return mint(*this) += b; }constexpr mint operator-(const mint &b) const { return mint(*this) -= b; }constexpr mint operator*(const mint &b) const { return mint(*this) *= b; }constexpr mint operator/(const mint &b) const { return mint(*this) /= b; }constexpr bool operator==(const mint &b) const {return (a >= mod ? a - mod : a) == (b.a >= mod ? b.a - mod : b.a);}constexpr bool operator!=(const mint &b) const {return (a >= mod ? a - mod : a) != (b.a >= mod ? b.a - mod : b.a);}constexpr mint operator-() const { return mint() - mint(*this); }constexpr mint pow(u64 n) const {mint ret(1), mul(*this);while (n > 0) {if (n & 1) ret *= mul;mul *= mul;n >>= 1;}return ret;}constexpr mint inverse() const { return pow(mod - 2); }friend ostream &operator<<(ostream &os, const mint &b) {return os << b.get();}friend istream &operator>>(istream &is, mint &b) {int64_t t;is >> t;b = LazyMontgomeryModInt<mod>(t);return (is);}constexpr u32 get() const {u32 ret = reduce(a);return ret >= mod ? ret - mod : ret;}static constexpr u32 get_mod() { return mod; }};//using namespace Nyaan;using mint = LazyMontgomeryModInt<998244353>;// using mint = LazyMontgomeryModInt<1000000007>;using vm = vector<mint>;using vvm = vector<vm>;using namespace Nyaan;void Nyaan::solve() {inl(A, B, P, Q);if (B == 0) {if (A == 0) {out(2);return;}ll ans = mod_log(A, P, 998244353);if (ans == 1) ans += 998244352;out(ans);exit(1);}using mat = Matrix<mint>;mat M(2);M[0][0] = A, M[0][1] = -B, M[1][0] = 1;HashMap<pair<int, int>, int> memo;mat MM;mat S1(2, 1);S1[0][0] = A, S1[1][0] = 2;mat PQ(2, 1);PQ[0][0] = P, PQ[1][0] = Q;{mat a = mat::I(2);rep(i, TEN(5)) {auto b = a * S1;vi v(2);v[0] = b[0][0].get(), v[1] = b[1][0].get();memo[make_pair(v[0], v[1])] = i;a *= M;}MM = M;}MM.A = inverse_matrix(MM.A);mat base = mat::I(2);for (int i = 0;; i++) {if (base.determinant() != 0) {mat inv{base};mat mt = inv * PQ;vi v(2);v[0] = mt[0][0].get(), v[1] = mt[1][0].get();auto p = make_pair(v[0], v[1]);if (memo.find(p) != memo.end()) {out(i * TEN(5) + memo[p] + 1);exit(0);}}base *= MM;}}