結果

問題 No.891 隣接3項間の漸化式
ユーザー iiljjiiljj
提出日時 2020-06-16 23:24:39
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
CE  
(最新)
AC  
(最初)
実行時間 -
コード長 10,231 bytes
コンパイル時間 10,064 ms
コンパイル使用メモリ 243,444 KB
最終ジャッジ日時 2025-01-11 04:47:08
ジャッジサーバーID
(参考情報)
judge3 / judge5
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コンパイルエラー時のメッセージ・ソースコードは、提出者また管理者しか表示できないようにしております。(リジャッジ後のコンパイルエラーは公開されます)
ただし、clay言語の場合は開発者のデバッグのため、公開されます。

コンパイルメッセージ
main.cpp:234:20: error: expected unqualified-id before ')' token
  234 |     Mat<Num, H, W>() : array<array<Num, W>, H>() { fill(0); }
      |                    ^
main.cpp:235:20: error: expected unqualified-id before 'const'
  235 |     Mat<Num, H, W>(const Num value) : array<array<Num, W>, H>() { fill(value); }
      |                    ^~~~~
main.cpp:235:20: error: expected ')' before 'const'
  235 |     Mat<Num, H, W>(const Num value) : array<array<Num, W>, H>() { fill(value); }
      |                   ~^~~~~
      |                    )
main.cpp:236:57: error: invalid declarator before 'init'
  236 |     Mat<Num, H, W>(std::initializer_list<array<Num, W>> init) : array<array<Num, W>, H>() {
      |                                                         ^~~~
main.cpp:236:56: error: expected ')' before 'init'
  236 |     Mat<Num, H, W>(std::initializer_list<array<Num, W>> init) : array<array<Num, W>, H>() {
      |                   ~                                    ^~~~~
      |                                                        )
main.cpp: In function 'void solve()':
main.cpp:315:25: error: too many initializers for 'mat' {aka 'Mat<mint, 2, 2>'}
  315 |     mat A{{a, b}, {1, 0}};
      |                         ^

ソースコード

diff #
プレゼンテーションモードにする

/* #region Head */
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pll = pair<ll, ll>;
template <class T> using vc = vector<T>;
template <class T> using vvc = vc<vc<T>>;
using vll = vc<ll>;
using vvll = vvc<ll>;
using vld = vc<ld>;
using vvld = vvc<ld>;
using vs = vc<string>;
using vvs = vvc<string>;
template <class T, class U> using um = unordered_map<T, U>;
template <class T> using pq = priority_queue<T>;
template <class T> using pqa = priority_queue<T, vc<T>, greater<T>>;
template <class T> using us = unordered_set<T>;
#define REP(i, m, n) for (ll i = (m), i##_len = (ll)(n); i < i##_len; ++(i))
#define REPM(i, m, n) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; ++(i))
#define REPR(i, m, n) for (ll i = (m), i##_min = (ll)(n); i >= i##_min; --(i))
#define REPD(i, m, n, d) for (ll i = (m), i##_len = (ll)(n); i < i##_len; i += (d))
#define REPMD(i, m, n, d) for (ll i = (m), i##_max = (ll)(n); i <= i##_max; i += (d))
#define REPI(itr, ds) for (auto itr = ds.begin(); itr != ds.end(); itr++)
#define ALL(x) begin(x), end(x)
#define SIZE(x) ((ll)(x).size())
#define PERM(c) \
sort(ALL(c)); \
for (bool c##p = 1; c##p; c##p = next_permutation(ALL(c)))
#define UNIQ(v) v.erase(unique(ALL(v)), v.end());
#define endl '\n'
#define sqrt sqrtl
#define floor floorl
#define log2 log2l
constexpr ll INF = 1'010'000'000'000'000'017LL;
constexpr ll MOD = 1'000'000'007LL; // 1e9 + 7
constexpr ld EPS = 1e-12;
constexpr ld PI = 3.14159265358979323846;
template <typename T> istream &operator>>(istream &is, vc<T> &vec) { // vector
for (T &x : vec) is >> x;
return is;
}
template <typename T> ostream &operator<<(ostream &os, vc<T> &vec) { // vector (for dump)
os << "{";
REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "" : ", ");
os << "}";
return os;
}
template <typename T> ostream &operator>>(ostream &os, vc<T> &vec) { // vector (inline)
REP(i, 0, SIZE(vec)) os << vec[i] << (i == i_len - 1 ? "\n" : " ");
return os;
}
template <typename T, typename U> istream &operator>>(istream &is, pair<T, U> &pair_var) { // pair
is >> pair_var.first >> pair_var.second;
return is;
}
template <typename T, typename U> ostream &operator<<(ostream &os, pair<T, U> &pair_var) { // pair
os << "(" << pair_var.first << ", " << pair_var.second << ")";
return os;
}
// map, um, set, us
template <class T> ostream &out_iter(ostream &os, T &map_var) {
os << "{";
REPI(itr, map_var) {
os << *itr;
auto itrcp = itr;
if (++itrcp != map_var.end()) os << ", ";
}
return os << "}";
}
template <typename T, typename U> ostream &operator<<(ostream &os, map<T, U> &map_var) { return out_iter(os, map_var); }
template <typename T, typename U> ostream &operator<<(ostream &os, um<T, U> &map_var) {
os << "{";
REPI(itr, map_var) {
auto [key, value] = *itr;
os << "(" << key << ", " << value << ")";
auto itrcp = itr;
if (++itrcp != map_var.end()) os << ", ";
}
os << "}";
return os;
}
template <typename T> ostream &operator<<(ostream &os, set<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, us<T> &set_var) { return out_iter(os, set_var); }
template <typename T> ostream &operator<<(ostream &os, pq<T> &pq_var) {
pq<T> pq_cp(pq_var);
os << "{";
if (!pq_cp.empty()) {
os << pq_cp.top(), pq_cp.pop();
while (!pq_cp.empty()) os << ", " << pq_cp.top(), pq_cp.pop();
}
return os << "}";
}
// dump
#define DUMPOUT cerr
void dump_func() { DUMPOUT << endl; }
template <class Head, class... Tail> void dump_func(Head &&head, Tail &&... tail) {
DUMPOUT << head;
if (sizeof...(Tail) > 0) DUMPOUT << ", ";
dump_func(move(tail)...);
}
// chmax ()
template <typename T, typename U, typename Comp = less<>> bool chmax(T &xmax, const U &x, Comp comp = {}) {
if (comp(xmax, x)) {
xmax = x;
return true;
}
return false;
}
// chmin ()
template <typename T, typename U, typename Comp = less<>> bool chmin(T &xmin, const U &x, Comp comp = {}) {
if (comp(x, xmin)) {
xmin = x;
return true;
}
return false;
}
//
#define DEBUG_
#ifdef DEBUG_
#define DEB
#define dump(...) \
DUMPOUT << " " << string(#__VA_ARGS__) << ": " \
<< "[" << to_string(__LINE__) << ":" << __FUNCTION__ << "]" << endl \
<< " ", \
dump_func(__VA_ARGS__)
#else
#define DEB if (false)
#define dump(...)
#endif
struct AtCoderInitialize {
static constexpr int IOS_PREC = 15;
static constexpr bool AUTOFLUSH = false;
AtCoderInitialize() {
ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
cout << fixed << setprecision(IOS_PREC);
if (AUTOFLUSH) cout << unitbuf;
}
} ATCODER_INITIALIZE;
string yes = "Yes", no = "No";
// string yes = "YES", no = "NO";
void yn(bool p) { cout << (p ? yes : no) << endl; }
/* #endregion */
/* #region mint */
// MOD
struct mint {
ll x;
mint(ll x = 0) : x((x % MOD + MOD) % MOD) {}
mint &operator+=(const mint a) {
if ((x += a.x) >= MOD) x -= MOD;
return *this;
}
mint &operator-=(const mint a) {
if ((x += MOD - a.x) >= MOD) x -= MOD;
return *this;
}
mint &operator*=(const mint a) {
(x *= a.x) %= MOD;
return *this;
}
mint operator+(const mint a) const {
mint res(*this);
return res += a;
}
mint operator-(const mint a) const {
mint res(*this);
return res -= a;
}
mint operator*(const mint a) const {
mint res(*this);
return res *= a;
}
// O(log(t))
mint pow(ll t) const {
if (!t) return 1;
mint a = pow(t >> 1); // ⌊t/2⌋
a *= a; // ⌊t/2⌋*2
if (t & 1) // ⌊t/2⌋*2 == t-1
a *= *this; // ⌊t/2⌋*2+1 => t
return a;
}
// for prime mod
mint inv() const {
return pow(MOD - 2); // x^(-1) ≡ x^(p-2)
}
mint &operator/=(const mint a) { return (*this) *= a.inv(); }
mint operator/(const mint a) const {
mint res(*this);
return res /= a;
}
bool operator==(const mint a) const { return this->x == a.x; }
bool operator==(const ll a) const { return this->x == a; }
// mint
friend istream &operator>>(istream &is, mint &x) {
is >> x.x;
return is;
}
// mint
friend ostream &operator<<(ostream &os, mint x) {
os << x.x;
return os;
}
};
/* #endregion */
/* #region Mat */
// ==, !=, [] array
template <class Num, size_t H, size_t W> class Mat : public array<array<Num, W>, H> {
public:
Mat<Num, H, W>() : array<array<Num, W>, H>() { fill(0); }
Mat<Num, H, W>(const Num value) : array<array<Num, W>, H>() { fill(value); }
Mat<Num, H, W>(std::initializer_list<array<Num, W>> init) : array<array<Num, W>, H>() {
int i = 0;
for (auto iter = init.begin(); iter != init.end(); ++iter) (*this)[i++] = array<Num, W>(*iter);
}
//
Mat<Num, H, W> &operator+=(const Mat<Num, H, W> &another) {
REP(i, 0, H) REP(j, 0, W)(*this)[i][j] += another[i][j];
return *this;
}
//
Mat<Num, H, W> &operator-=(const Mat<Num, H, W> &another) {
REP(i, 0, H) REP(j, 0, W)(*this)[i][j] -= another[i][j];
return *this;
}
//
template <size_t AW> Mat<Num, H, AW> &operator*=(const Mat<Num, W, AW> &another) {
Mat<Num, H, AW> ret = {};
REP(i, 0, H) REP(j, 0, AW) REP(k, 0, W) ret[i][j] += (*this)[i][k] * another[k][j];
*this = ret;
return *this;
}
//
Mat<Num, H, W> operator+(const Mat<Num, H, W> &another) const {
Mat<Num, H, W> ret(*this);
return ret += another;
}
//
Mat<Num, H, W> operator-(const Mat<Num, H, W> &another) const {
Mat<Num, H, W> ret(*this);
return ret -= another;
}
//
template <size_t AW> Mat<Num, H, AW> operator*(const Mat<Num, W, AW> &another) const {
Mat<Num, H, AW> ret(*this);
return ret *= another;
}
// n
Mat<Num, H, W> pow(ll n) const {
assert(H == W);
Mat<Num, H, W> ret = {};
Mat<Num, H, W> a(*this);
REP(i, 0, H) ret[i][i] = 1;
while (n) {
if (n & 1) ret = a * ret;
a = a * a, n >>= 1;
}
return ret;
}
template <class... T> Mat<Num, H, W> assign(T... nums) {
vc<Num> num_list = vc<Num>{nums...};
assert(SIZE(num_list) == H * W);
REP(i, 0, H) REP(j, 0, W)(*this)[i][j] = num_list[W * i + j];
return *this;
}
void fill(Num num) { REP(i, 0, H) REP(j, 0, W)(*this)[i][j] = num; }
};
/* #endregion */
// Problem
void solve() {
using mat = Mat<mint, 2, 2>; //
ll a, b, n;
cin >> a >> b >> n;
if (n <= 1) {
cout << n << endl;
return;
}
mat A{{a, b}, {1, 0}};
A = A.pow(n - 1);
cout << A[0][0] << endl;
}
// entry point
int main() {
solve();
return 0;
}
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