#740777 (C++17) No.1847 Good Sequence

提出ソース

結果

問題	No.1847 Good Sequence
ユーザー	FF256grhy
提出日時	2022-02-19 11:51:27
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	AC
実行時間	459 ms / 3,000 ms
コード長	10,335 bytes
コンパイル時間	2,302 ms
コンパイル使用メモリ	213,264 KB
実行使用メモリ	5,376 KB
最終ジャッジ日時	2024-06-29 10:22:16
合計ジャッジ時間	6,264 ms
ジャッジサーバーID （参考情報）	judge2 / judge1

このコードへのチャレンジ
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テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	2 ms 5,248 KB
testcase_01	AC	2 ms 5,376 KB
testcase_02	AC	150 ms 5,376 KB
testcase_03	AC	2 ms 5,376 KB
testcase_04	AC	2 ms 5,376 KB
testcase_05	AC	2 ms 5,376 KB
testcase_06	AC	3 ms 5,376 KB
testcase_07	AC	3 ms 5,376 KB
testcase_08	AC	5 ms 5,376 KB
testcase_09	AC	7 ms 5,376 KB
testcase_10	AC	2 ms 5,376 KB
testcase_11	AC	2 ms 5,376 KB
testcase_12	AC	3 ms 5,376 KB
testcase_13	AC	3 ms 5,376 KB
testcase_14	AC	5 ms 5,376 KB
testcase_15	AC	7 ms 5,376 KB
testcase_16	AC	14 ms 5,376 KB
testcase_17	AC	27 ms 5,376 KB
testcase_18	AC	40 ms 5,376 KB
testcase_19	AC	63 ms 5,376 KB
testcase_20	AC	2 ms 5,376 KB
testcase_21	AC	438 ms 5,376 KB
testcase_22	AC	79 ms 5,376 KB
testcase_23	AC	2 ms 5,376 KB
testcase_24	AC	2 ms 5,376 KB
testcase_25	AC	142 ms 5,376 KB
testcase_26	AC	2 ms 5,376 KB
testcase_27	AC	18 ms 5,376 KB
testcase_28	AC	141 ms 5,376 KB
testcase_29	AC	4 ms 5,376 KB
testcase_30	AC	17 ms 5,376 KB
testcase_31	AC	255 ms 5,376 KB
testcase_32	AC	80 ms 5,376 KB
testcase_33	AC	273 ms 5,376 KB
testcase_34	AC	2 ms 5,376 KB
testcase_35	AC	2 ms 5,376 KB
testcase_36	AC	444 ms 5,376 KB
testcase_37	AC	160 ms 5,376 KB
testcase_38	AC	2 ms 5,376 KB
testcase_39	AC	2 ms 5,376 KB
testcase_40	AC	459 ms 5,376 KB

権限があれば一括ダウンロードができます

ソースコード

raw source code

#include <bits/stdc++.h>
using namespace std;
#define incII(i, l, r) for(decay_t<decltype(r)> i = (l)    ; i <= (r); i++)
#define incIX(i, l, r) for(decay_t<decltype(r)> i = (l)    ; i <  (r); i++)
#define incXI(i, l, r) for(decay_t<decltype(r)> i = (l) + 1; i <= (r); i++)
#define incXX(i, l, r) for(decay_t<decltype(r)> i = (l) + 1; i <  (r); i++)
#define decII(i, l, r) for(decay_t<decltype(r)> i = (r)    ; i >= (l); i--)
#define decIX(i, l, r) for(decay_t<decltype(r)> i = (r) - 1; i >= (l); i--)
#define decXI(i, l, r) for(decay_t<decltype(r)> i = (r)    ; i >  (l); i--)
#define decXX(i, l, r) for(decay_t<decltype(r)> i = (r) - 1; i >  (l); i--)
#define inc(i, n)  incIX(i, 0, n)
#define dec(i, n)  decIX(i, 0, n)
#define inc1(i, n) incII(i, 1, n)
#define dec1(i, n) decII(i, 1, n)
auto inII = [](auto a, auto l, auto r) -> bool { return (l <= a && a <= r); };
auto inIX = [](auto a, auto l, auto r) -> bool { return (l <= a && a <  r); };
auto inXI = [](auto a, auto l, auto r) -> bool { return (l <  a && a <= r); };
auto inXX = [](auto a, auto l, auto r) -> bool { return (l <  a && a <  r); };
auto setmin   = [](auto & a, auto b) -> bool { return (b <  a ? a = b, true : false); };
auto setmax   = [](auto & a, auto b) -> bool { return (b >  a ? a = b, true : false); };
auto setmineq = [](auto & a, auto b) -> bool { return (b <= a ? a = b, true : false); };
auto setmaxeq = [](auto & a, auto b) -> bool { return (b >= a ? a = b, true : false); };
using LL = long long int;
using LD = long double;
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define MT make_tuple
#define FI first
#define SE second
#define FR front()
#define BA back()
#define ALL(a) begin(a), end(a)
#define RALL(a) rbegin(a), rend(a)
#define RV(a) reverse(ALL(a))
#define ST(a) sort(ALL(a))
#define RST(a) sort(RALL(a))
#define SC static_cast
#define SI(a) SC<int>(a.size())
#define SL(a) SC<LL>(a.size())
#define RF(e, ...) for(auto && e: __VA_ARGS__)
#define SF(a, ...) for(auto && [__VA_ARGS__]: a)
#define until(e) while(not(e))
#define if_not(e) if(not(e))
#define ef else if
#define UR assert(false)
auto * IS = & cin;
auto * OS = & cout;
template<typename ... A> void in(A & ... a) { (* IS >> ... >> a); }
#define IN(...) __VA_ARGS__; in(__VA_ARGS__)
struct OS_init { OS_init() { * OS << boolalpha << fixed << setprecision(20); } } os_init_;
void                                      out_([[maybe_unused]] string const & s) { }
template<typename A                > void out_([[maybe_unused]] string const & s, A const & a) { * OS << a; }
template<typename A, typename ... B> void out_(                 string const & s, A const & a, B const & ... b) { * OS << a << s; out_(s, b ...); }
auto outF  = [](array<string, 3> const & s, auto const & ... a) { * OS << s[0]; out_(s[1], a ...); * OS << s[2] << flush; };
auto outN  = [](auto const & ... a) { outF({ "", ""  , ""   }, a ...); };
auto outS  = [](auto const & ... a) { outF({ "", " " , " "  }, a ...); };
auto outL  = [](auto const & ... a) { outF({ "", "\n", "\n" }, a ...); };
auto outSN = [](auto const & ... a) { outF({ "", " " , ""   }, a ...); };
auto outNL = [](auto const & ... a) { outF({ "", ""  , "\n" }, a ...); };
auto outSL = [](auto const & ... a) { outF({ "", " " , "\n" }, a ...); };
auto outD  = [](auto const & ... a) { outF({ "[ ", " : " , " ]\n" }, a ...); };
auto out   = outSL;
template<typename A                > void disp_(A const & a) { * OS << a; }
template<typename A, typename ... T> void disp_(A const & a, string const & s, T const & ... t) { string ss; for(auto && e: a) { * OS << ss; ss = s; disp_(e, t ...); } }
auto dispI = [](auto const & a, auto const & s, auto const & ... t) { disp_(a, t ...); * OS << s << flush; };
auto dispT = [](auto const & a, auto const & s, auto const & ... t) { for(auto && e: a) { disp_(e, t ...); * OS << s; } * OS << flush; };
auto dispL = [](auto const & a,                 auto const & ... t) { dispT(a, "\n", t ...); };
template<typename A> istream & operator>>(istream & is, vector<A>       & v) { for(auto && e: v) { is >> e; } return is; }
template<typename A> ostream & operator<<(ostream & os, vector<A> const & v) { string ss; for(auto && e: v) { os << ss << e; ss = " "; } return os; }
template<typename A                > auto make_v(A a) { return a; }
template<typename A, typename ... M> auto make_v(A a, int n, M ... m) { return vector(n, make_v(a, m ...)); }
template<typename A, typename ... N> auto read_v(N ... n) { auto a = make_v(A { }, n ...); in(a); return a; }
template<typename A, size_t N> istream & operator>>(istream & is, array<A, N>       & a) { for(auto && e: a) { is >> e; } return is; }
template<typename A, size_t N> ostream & operator<<(ostream & os, array<A, N> const & a) { string ss; for(auto && e: a) { os << ss << e; ss = " "; } return os; }
template<typename A, typename B> istream & operator>>(istream & is, pair<A, B>       & p) { return is >> p.first >> p.second; }
template<typename A, typename B> ostream & operator<<(ostream & os, pair<A, B> const & p) { return os << p.first << " " << p.second; }
template<int I = 0, typename T> void tin_ (istream & is, T       & t) { if constexpr(I < tuple_size<T>::value) { is >> get<I>(t); tin_<I + 1>(is, t); } }
template<int I = 0, typename T> void tout_(ostream & os, T const & t) { if constexpr(I < tuple_size<T>::value) { if(I != 0) { os << " "; } os << get<I>(t); tout_<I + 1>(os, t); } }
template<typename ... A> istream & operator>>(istream & is, tuple<A ...>       & t) { tin_ (is, t); return is; }
template<typename ... A> ostream & operator<<(ostream & os, tuple<A ...> const & t) { tout_(os, t); return os; }

// ---- ----

template<typename T, T(* PLUS)(T, T), T(* MULT)(T, T), T(* ZERO)(), T(* UNIT)()> struct Matrix_ {
	int h, w;
	vector<vector<T>> v;
	explicit Matrix_(int h = 1):    h(h), w(h), v(h, vector<T>(w, ZERO())) { }
	explicit Matrix_(int h, int w): h(h), w(w), v(h, vector<T>(w, ZERO())) { }
	Matrix_(vector<vector<T>> const & v): h(SI(v)), w(SI(v[0])), v(v) {
		inc(i, h) { assert(SI(v[i]) == w); }
	}
	vector<T> const & operator[](int i) const { return v.at(i); }
	vector<T>       & operator[](int i)       { return v.at(i); }
	static Matrix_ unit(int n) {
		Matrix_ a(n);
		inc(i, n) { a[i][i] = UNIT(); }
		return a;
	}
	friend Matrix_ operator*(Matrix_ const & a, Matrix_ const & b) {
		assert(a.w == b.h);
		Matrix_ c(a.h, b.w);
		inc(i, a.h) {
		inc(j, b.w) {
		inc(k, a.w) {
			c[i][j] = PLUS(c[i][j], MULT(a[i][k], b[k][j]));
		}
		}
		}
		return c;
	}
	friend Matrix_ operator^(Matrix_ a, LL b) {
		assert(a.h == a.w);
		assert(b >= 0);
		auto p = Matrix_::unit(a.h);
		while(b) {
			if(b & 1) { p *= a; }
			a *= a;
			b >>= 1;
		}
		return p;
	}
	friend Matrix_ & operator*=(Matrix_ & a, Matrix_ const & b) { return (a = a * b); }
	friend Matrix_ & operator^=(Matrix_ & a, LL              b) { return (a = a ^ b); }
	friend Matrix_ & operator*=(Matrix_ & a, T b) {
		inc(i, a.h) {
		inc(j, a.w) {
			a[i][j] = MULT(a[i][j], b);
		}
		}
		return a;
	}
	friend Matrix_ operator*(Matrix_ a, T b) { return (a *= b); }
	friend Matrix_ operator*(T b, Matrix_ a) { return (a *= b); }
	friend ostream & operator<<(ostream & s, Matrix_ const & a) {
		inc(i, a.h) { s << a[i] << endl; }
		return s;
	}
};
template<typename T> T PLUS(T a, T b) { return a + b; };
template<typename T> T MULT(T a, T b) { return a * b; };
template<typename T> T ZERO() { return 0; };
template<typename T> T UNIT() { return 1; };
template<typename T> using Matrix = Matrix_<T, PLUS<T>, MULT<T>, ZERO<T>, UNIT<T>>;

// ----

template<LL M> class ModInt {
private:
	LL v;
	pair<LL, LL> ext_gcd(LL a, LL b) {
		if(b == 0) { assert(a == 1); return { 1, 0 }; }
		auto p = ext_gcd(b, a % b);
		return { p.SE, p.FI - (a / b) * p.SE };
	}
public:
	ModInt(LL vv = 0) { v = vv; if(abs(v) >= M) { v %= M; } if(v < 0) { v += M; } }
	LL val() { return v; }
	static LL mod() { return M; }
	ModInt inv() { return ext_gcd(M, v).SE; }
	ModInt exp(LL b) {
		ModInt p = 1, a = v; if(b < 0) { a = a.inv(); b = -b; }
		while(b) { if(b & 1) { p *= a; } a *= a; b >>= 1; }
		return p;
	}
	friend bool      operator< (ModInt    a, ModInt   b) { return (a.v <  b.v); }
	friend bool      operator> (ModInt    a, ModInt   b) { return (a.v >  b.v); }
	friend bool      operator<=(ModInt    a, ModInt   b) { return (a.v <= b.v); }
	friend bool      operator>=(ModInt    a, ModInt   b) { return (a.v >= b.v); }
	friend bool      operator==(ModInt    a, ModInt   b) { return (a.v == b.v); }
	friend bool      operator!=(ModInt    a, ModInt   b) { return (a.v != b.v); }
	friend ModInt    operator+ (ModInt    a            ) { return ModInt(+a.v); }
	friend ModInt    operator- (ModInt    a            ) { return ModInt(-a.v); }
	friend ModInt    operator+ (ModInt    a, ModInt   b) { return ModInt(a.v + b.v); }
	friend ModInt    operator- (ModInt    a, ModInt   b) { return ModInt(a.v - b.v); }
	friend ModInt    operator* (ModInt    a, ModInt   b) { return ModInt(a.v * b.v); }
	friend ModInt    operator/ (ModInt    a, ModInt   b) { return a * b.inv(); }
	friend ModInt    operator^ (ModInt    a, LL       b) { return a.exp(b); }
	friend ModInt  & operator+=(ModInt  & a, ModInt   b) { return (a = a + b); }
	friend ModInt  & operator-=(ModInt  & a, ModInt   b) { return (a = a - b); }
	friend ModInt  & operator*=(ModInt  & a, ModInt   b) { return (a = a * b); }
	friend ModInt  & operator/=(ModInt  & a, ModInt   b) { return (a = a / b); }
	friend ModInt  & operator^=(ModInt  & a, LL       b) { return (a = a ^ b); }
	friend istream & operator>>(istream & s, ModInt & b) { s >> b.v; b = ModInt(b.v); return s; }
	friend ostream & operator<<(ostream & s, ModInt   b) { return (s << b.v); }
};
using MI = ModInt<1'000'000'007>;

// ----

int main() {
	LL IN(l, n);
	vector<bool> f(n + 1, false);
	{
		int IN(m);
		inc(i, m) { int IN(k); f[k] = true; }
	}
	
	auto id = [&](int i, int j) -> int { return i * (i + 3) / 2 + j; };
	Matrix<MI> A(id(n + 1, 0), id(n + 1, 0));
	A[id(0, 0)][id(0, 0)] = n;
	A[id(0, 0)][id(0, 1)] = 1;
	inc1(i, n) {
		incII(j, 0, i + 1) {
			if(i == j && f[i]) {
				A[id(i, j)][id(i, j + 1)] = 1;
				A[id(i, j)][id(0, 0)] = n - 1;
				A[id(i, j)][id(0, 1)] = 1;
			} else {
				inc1(k, n) { A[id(i, j)][k == i ? id(i, min(j + 1, i + 1)) : id(k, 1)] = 1; }
			}
		}
	}
	out((A ^ (l + 1))[id(1, 0)][id(0, 1)]);
}

yukicoder

結果

テストケース

ソースコード