結果
| 問題 | No.2189 六平方和 |
| ユーザー |
 hitonanode
|
| 提出日時 | 2023-01-13 21:53:01 |
| 言語 | C++23 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
WA
|
| 実行時間 | - |
| コード長 | 12,796 bytes |
| コンパイル時間 | 2,178 ms |
| コンパイル使用メモリ | 182,128 KB |
| 実行使用メモリ | 5,248 KB |
| 最終ジャッジ日時 | 2024-12-24 17:12:28 |
| 合計ジャッジ時間 | 6,680 ms |
|
ジャッジサーバーID （参考情報） |
judge2 / judge1 |
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| ファイルパターン | 結果 |
|---|---|
| other | AC * 6 WA * 22 |
ソースコード
#include <algorithm>
#include <array>
#include <bitset>
#include <cassert>
#include <chrono>
#include <cmath>
#include <complex>
#include <deque>
#include <forward_list>
#include <fstream>
#include <functional>
#include <iomanip>
#include <ios>
#include <iostream>
#include <limits>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <tuple>
#include <type_traits>
#include <unordered_map>
#include <unordered_set>
#include <utility>
#include <vector>
using namespace std;
using lint = long long;
using pint = pair<int, int>;
using plint = pair<lint, lint>;
struct fast_ios { fast_ios(){ cin.tie(nullptr), ios::sync_with_stdio(false), cout << fixed << setprecision(20); }; } fast_ios_;
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, begin, end) for(int i=(begin),i##_end_=(end);i<i##_end_;i++)
#define IFOR(i, begin, end) for(int i=(end)-1,i##_begin_=(begin);i>=i##_begin_;i--)
#define REP(i, n) FOR(i,0,n)
#define IREP(i, n) IFOR(i,0,n)
template <typename T, typename V>
void ndarray(vector<T>& vec, const V& val, int len) { vec.assign(len, val); }
template <typename T, typename V, typename... Args> void ndarray(vector<T>& vec, const V& val, int len, Args... args) { vec.resize(len), for_each(begin(vec), end(vec), [&](T& v) { ndarray(v, val, args...); }); }
template <typename T> bool chmax(T &m, const T q) { return m < q ? (m = q, true) : false; }
template <typename T> bool chmin(T &m, const T q) { return m > q ? (m = q, true) : false; }
const std::vector<std::pair<int, int>> grid_dxs{{1, 0}, {-1, 0}, {0, 1}, {0, -1}};
int floor_lg(long long x) { return x <= 0 ? -1 : 63 - __builtin_clzll(x); }
template <class T1, class T2> T1 floor_div(T1 num, T2 den) { return (num > 0 ? num / den : -((-num + den - 1) / den)); }
template <class T1, class T2> std::pair<T1, T2> operator+(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first + r.first, l.second + r.second); }
template <class T1, class T2> std::pair<T1, T2> operator-(const std::pair<T1, T2> &l, const std::pair<T1, T2> &r) { return std::make_pair(l.first - r.first, l.second - r.second); }
template <class T> std::vector<T> sort_unique(std::vector<T> vec) { sort(vec.begin(), vec.end()), vec.erase(unique(vec.begin(), vec.end()), vec.end()); return vec; }
template <class T> int arglb(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::lower_bound(v.begin(), v.end(), x)); }
template <class T> int argub(const std::vector<T> &v, const T &x) { return std::distance(v.begin(), std::upper_bound(v.begin(), v.end(), x)); }
template <class IStream, class T> IStream &operator>>(IStream &is, std::vector<T> &vec) { for (auto &v : vec) is >> v; return is; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec);
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr);
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const pair<T, U> &pa);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec);
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa);
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp);
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp);
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl);
template <class OStream, class T> OStream &operator<<(OStream &os, const std::vector<T> &vec) { os << '['; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T, size_t sz> OStream &operator<<(OStream &os, const std::array<T, sz> &arr) { os << '['; for (auto v : arr) os << v << ','; os << ']'; return os; }
template <class... T> std::istream &operator>>(std::istream &is, std::tuple<T...> &tpl) { std::apply([&is](auto &&... args) { ((is >> args), ...);}, tpl); return is; }
template <class OStream, class... T> OStream &operator<<(OStream &os, const std::tuple<T...> &tpl) { os << '('; std::apply([&os](auto &&... args) { ((os << args << ','), ...);}, tpl); return os << ')'; }
template <class OStream, class T, class TH> OStream &operator<<(OStream &os, const std::unordered_set<T, TH> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::deque<T> &vec) { os << "deq["; for (auto v : vec) os << v << ','; os << ']'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::set<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T> OStream &operator<<(OStream &os, const std::unordered_multiset<T> &vec) { os << '{'; for (auto v : vec) os << v << ','; os << '}'; return os; }
template <class OStream, class T, class U> OStream &operator<<(OStream &os, const std::pair<T, U> &pa) { return os << '(' << pa.first << ',' << pa.second << ')'; }
template <class OStream, class TK, class TV> OStream &operator<<(OStream &os, const std::map<TK, TV> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
template <class OStream, class TK, class TV, class TH> OStream &operator<<(OStream &os, const std::unordered_map<TK, TV, TH> &mp) { os << '{'; for (auto v : mp) os << v.first << "=>" << v.second << ','; os << '}'; return os; }
#ifdef HITONANODE_LOCAL
const string COLOR_RESET = "\033[0m", BRIGHT_GREEN = "\033[1;32m", BRIGHT_RED = "\033[1;31m", BRIGHT_CYAN = "\033[1;36m", NORMAL_CROSSED = "\033[0;9;37m", RED_BACKGROUND = "\033[1;41m", NORMAL_FAINT = "\033[0;2m";
#define dbg(x) std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl
#define dbgif(cond, x) ((cond) ? std::cerr << BRIGHT_CYAN << #x << COLOR_RESET << " = " << (x) << NORMAL_FAINT << " (L" << __LINE__ << ") " << __FILE__ << COLOR_RESET << std::endl : std::cerr)
#else
#define dbg(x) ((void)0)
#define dbgif(cond, x) ((void)0)
#endif
struct ModIntRuntime {
private:
static int md;
public:
using lint = long long;
static int mod() { return md; }
int val_;
static std::vector<ModIntRuntime> &facs() {
static std::vector<ModIntRuntime> facs_;
return facs_;
}
static int &get_primitive_root() {
static int primitive_root_ = 0;
if (!primitive_root_) {
primitive_root_ = [&]() {
std::set<int> fac;
int v = md - 1;
for (lint i = 2; i * i <= v; i++)
while (v % i == 0) fac.insert(i), v /= i;
if (v > 1) fac.insert(v);
for (int g = 1; g < md; g++) {
bool ok = true;
for (auto i : fac)
if (ModIntRuntime(g).power((md - 1) / i) == 1) {
ok = false;
break;
}
if (ok) return g;
}
return -1;
}();
}
return primitive_root_;
}
static void set_mod(const int &m) {
if (md != m) facs().clear();
md = m;
get_primitive_root() = 0;
}
ModIntRuntime &_setval(lint v) {
val_ = (v >= md ? v - md : v);
return *this;
}
int val() const noexcept { return val_; }
ModIntRuntime() : val_(0) {}
ModIntRuntime(lint v) { _setval(v % md + md); }
explicit operator bool() const { return val_ != 0; }
ModIntRuntime operator+(const ModIntRuntime &x) const {
return ModIntRuntime()._setval((lint)val_ + x.val_);
}
ModIntRuntime operator-(const ModIntRuntime &x) const {
return ModIntRuntime()._setval((lint)val_ - x.val_ + md);
}
ModIntRuntime operator*(const ModIntRuntime &x) const {
return ModIntRuntime()._setval((lint)val_ * x.val_ % md);
}
ModIntRuntime operator/(const ModIntRuntime &x) const {
return ModIntRuntime()._setval((lint)val_ * x.inv().val() % md);
}
ModIntRuntime operator-() const { return ModIntRuntime()._setval(md - val_); }
ModIntRuntime &operator+=(const ModIntRuntime &x) { return *this = *this + x; }
ModIntRuntime &operator-=(const ModIntRuntime &x) { return *this = *this - x; }
ModIntRuntime &operator*=(const ModIntRuntime &x) { return *this = *this * x; }
ModIntRuntime &operator/=(const ModIntRuntime &x) { return *this = *this / x; }
friend ModIntRuntime operator+(lint a, const ModIntRuntime &x) {
return ModIntRuntime()._setval(a % md + x.val_);
}
friend ModIntRuntime operator-(lint a, const ModIntRuntime &x) {
return ModIntRuntime()._setval(a % md - x.val_ + md);
}
friend ModIntRuntime operator*(lint a, const ModIntRuntime &x) {
return ModIntRuntime()._setval(a % md * x.val_ % md);
}
friend ModIntRuntime operator/(lint a, const ModIntRuntime &x) {
return ModIntRuntime()._setval(a % md * x.inv().val() % md);
}
bool operator==(const ModIntRuntime &x) const { return val_ == x.val_; }
bool operator!=(const ModIntRuntime &x) const { return val_ != x.val_; }
bool operator<(const ModIntRuntime &x) const {
return val_ < x.val_;
} // To use std::map<ModIntRuntime, T>
friend std::istream &operator>>(std::istream &is, ModIntRuntime &x) {
lint t;
return is >> t, x = ModIntRuntime(t), is;
}
friend std::ostream &operator<<(std::ostream &os, const ModIntRuntime &x) {
return os << x.val_;
}
lint power(lint n) const {
lint ans = 1, tmp = this->val_;
while (n) {
if (n & 1) ans = ans * tmp % md;
tmp = tmp * tmp % md;
n /= 2;
}
return ans;
}
ModIntRuntime pow(lint n) const { return power(n); }
ModIntRuntime inv() const { return this->pow(md - 2); }
ModIntRuntime fac() const {
int l0 = facs().size();
if (l0 > this->val_) return facs()[this->val_];
facs().resize(this->val_ + 1);
for (int i = l0; i <= this->val_; i++)
facs()[i] = (i == 0 ? ModIntRuntime(1) : facs()[i - 1] * ModIntRuntime(i));
return facs()[this->val_];
}
ModIntRuntime doublefac() const {
lint k = (this->val_ + 1) / 2;
return (this->val_ & 1)
? ModIntRuntime(k * 2).fac() / (ModIntRuntime(2).pow(k) * ModIntRuntime(k).fac())
: ModIntRuntime(k).fac() * ModIntRuntime(2).pow(k);
}
ModIntRuntime nCr(const ModIntRuntime &r) const {
return (this->val_ < r.val_) ? ModIntRuntime(0)
: this->fac() / ((*this - r).fac() * r.fac());
}
ModIntRuntime sqrt() const {
if (val_ == 0) return 0;
if (md == 2) return val_;
if (power((md - 1) / 2) != 1) return 0;
ModIntRuntime b = 1;
while (b.power((md - 1) / 2) == 1) b += 1;
int e = 0, m = md - 1;
while (m % 2 == 0) m >>= 1, e++;
ModIntRuntime x = power((m - 1) / 2), y = (*this) * x * x;
x *= (*this);
ModIntRuntime z = b.power(m);
while (y != 1) {
int j = 0;
ModIntRuntime t = y;
while (t != 1) j++, t *= t;
z = z.power(1LL << (e - j - 1));
x *= z, z *= z, y *= z;
e = j;
}
return ModIntRuntime(std::min(x.val_, md - x.val_));
}
};
int ModIntRuntime::md = 1;
using mint = ModIntRuntime;
int main() {
lint N;
int M, B;
cin >> N >> M >> B;
mint::set_mod(B);
const lint goal = mint(M).pow(N).val();
lint rem = goal;
vector<lint> ret;
while (rem) {
lint nxt = sqrt(rem);
ret.push_back(nxt);
rem -= nxt * nxt;
}
while (ret.size() < 6) ret.push_back(goal);
cout << "YES\n";
for (auto x : ret) cout << x << ' ';
cout << endl;
}