結果

問題 No.1164 GCD Products hard
ユーザー FF256grhyFF256grhy
提出日時 2020-08-12 05:49:42
言語 C++17
(gcc 12.3.0 + boost 1.83.0)
結果
AC  
実行時間 389 ms / 2,500 ms
コード長 6,491 bytes
コンパイル時間 2,548 ms
コンパイル使用メモリ 207,656 KB
実行使用メモリ 42,320 KB
最終ジャッジ日時 2024-10-09 15:07:19
合計ジャッジ時間 8,959 ms
ジャッジサーバーID
（参考情報） 		judge3 / judge2
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 258 ms
30,092 KB
testcase_01 AC 297 ms
33,116 KB
testcase_02 AC 206 ms
25,380 KB
testcase_03 AC 46 ms
10,924 KB
testcase_04 AC 41 ms
11,288 KB
testcase_05 AC 257 ms
29,656 KB
testcase_06 AC 312 ms
35,224 KB
testcase_07 AC 321 ms
36,896 KB
testcase_08 AC 308 ms
36,832 KB
testcase_09 AC 207 ms
26,296 KB
testcase_10 AC 43 ms
10,088 KB
testcase_11 AC 222 ms
28,036 KB
testcase_12 AC 315 ms
34,912 KB
testcase_13 AC 167 ms
22,224 KB
testcase_14 AC 182 ms
26,048 KB
testcase_15 AC 325 ms
37,488 KB
testcase_16 AC 212 ms
28,268 KB
testcase_17 AC 238 ms
28,820 KB
testcase_18 AC 216 ms
26,740 KB
testcase_19 AC 47 ms
11,848 KB
testcase_20 AC 89 ms
15,580 KB
testcase_21 AC 344 ms
37,612 KB
testcase_22 AC 2 ms
6,820 KB
testcase_23 AC 338 ms
42,320 KB
testcase_24 AC 389 ms
42,272 KB
testcase_25 AC 2 ms
6,816 KB
testcase_26 AC 2 ms
6,816 KB
testcase_27 AC 2 ms
6,816 KB
testcase_28 AC 2 ms
6,816 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

diff # 

#include <bits/stdc++.h>
using namespace std;
using LL = long long int;
#define incID(i, l, r) for(int i = (l)    ; i <  (r); i++)
#define decID(i, l, r) for(int i = (r) - 1; i >= (l); i--)
#define incII(i, l, r) for(int i = (l)    ; i <= (r); i++)
#define decII(i, l, r) for(int i = (r)    ; i >= (l); i--)
#define inc(i, n)  incID(i, 0, n)
#define dec(i, n)  decID(i, 0, n)
#define inc1(i, n) incII(i, 1, n)
#define dec1(i, n) decII(i, 1, n)
#define inID(v, l, r) ((l) <= (v) && (v) <  (r))
#define inII(v, l, r) ((l) <= (v) && (v) <= (r))
#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(v) v.begin(), v.end()
#define RALL(v) v.rbegin(), v.rend()
auto setmin   = [](auto & a, auto b) { return (b <  a ? a = b, true : false); };
auto setmax   = [](auto & a, auto b) { return (b >  a ? a = b, true : false); };
auto setmineq = [](auto & a, auto b) { return (b <= a ? a = b, true : false); };
auto setmaxeq = [](auto & a, auto b) { return (b >= a ? a = b, true : false); };
#define SI(v) static_cast<int>(v.size())
#define RF(e, v) for(auto & e: v)
#define until(e) while(! (e))
#define if_not(e) if(! (e))
#define ef else if
#define UR assert(false)
// 以下、入出力関係のテンプレ案のテスト
auto * IS = & cin;
// input elements (as a tuple)
template<typename U, int I> void in_(U & t) { }
template<typename U, int I, typename A, typename ... B> void in_(U & t) { (* IS) >> get<I>(t); in_<U, I + 1, B ...>(t); }
template<typename ... T> auto in() { tuple<T ...> t; in_<tuple<T ...>, 0, T ...>(t); return t; }
// input a array
template<typename T, int N> auto ain() { array<T, N> a; inc(i, N) { (* IS) >> a[i]; } return a; }
// input a (multi-dimensional) vector
template<typename T> T vin() { return * istream_iterator<T>(* IS); }
template<typename T, typename N, typename ... M> auto vin(N n, M ... m) {
	vector<decltype(vin<T, M ...>(m ...))> v(n); inc(i, n) { v[i] = vin<T, M ...>(m ...); } return v;
}
// input multi-column (as a tuple of vector)
template<typename U, int I> void colin_(U & t) { }
template<typename U, int I, typename A, typename ... B> void colin_(U & t) {
	get<I>(t).emplace_back(* istream_iterator<A>(* IS)); colin_<U, I + 1, B ...>(t);
}
template<typename ... T> auto colin(int n) {
	tuple<vector<T> ...> t; inc(i, n) { colin_<tuple<vector<T> ...>, 0, T ...>(t); } return t;
}
auto * OS = & cout;
string SP = " ", LN = "\n";
// output elements
void out() { (* OS) << LN << flush; }
template<typename A                > void out(A && a            ) { (* OS) << a      ; out(     ); }
template<typename A, typename ... B> void out(A && a, B && ... b) { (* OS) << a << SP; out(b ...); }
// output a (multi-dimensional) vector
template<typename T> ostream & operator<<(ostream & os, vector<T> const & v) {
	inc(i, v.size()) { os << (i == 0 ? "" : SP) << v[i]; } return os << flush;
}
template<typename T> void vout_(T && v) { (* OS) << v; }
template<typename T, typename A, typename ... B> void vout_(T && v, A a, B ... b) {
	for(auto && w: v) { vout_(w, b ...); (* OS) << a; }
}
template<typename T, typename ... A> void vout(T && v, A ... a) { vout_(v, a ...); out(); }

// ---- ----

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 get_v() { return v; }
	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>;
using ME = ModInt<1'000'000'007 - 1>;

auto fl = [](auto a, auto b) { assert(b != 0); return a / b - (a % b != 0 && ((a >= 0) != (b >= 0)) ? 1 : 0); };
auto ce = [](auto a, auto b) { assert(b != 0); return a / b + (a % b != 0 && ((a >= 0) == (b >= 0)) ? 1 : 0); };
auto mo = [](auto a, auto b) { assert(b != 0); a %= b; if(a < 0) { a += abs(b); } return a; };

// { x in (l, r] | x mod m = a } の要素数
LL cmCI(LL l, LL r, LL m, LL a) { assert(m > 0); return max(0LL, fl(r - a, m) - fl(l - a, m)); }
LL cmCD(LL l, LL r, LL m, LL a) { return cmCI(l    , r - 1, m, a); }
LL cmII(LL l, LL r, LL m, LL a) { return cmCI(l - 1, r    , m, a); }
LL cmID(LL l, LL r, LL m, LL a) { return cmCI(l - 1, r - 1, m, a); }

int main() {
	auto [a, b, n] = ain<int, 3>();
	vector<int> f(b + 1);
	f[1] = 1;
	MI ans = 1;
	inc1(i, b) {
		if(f[i] == 1) { continue; }
		
		LL p = i;
		while(p * i <= b) { p *= i; }
		ME s = 0;
		until(p == 1) {
			ME v = ME(cmII(a, b, p, 0)) ^ n;
			ans *= MI(p) ^ (v - s).get_v();
			s = v;
			p /= i;
		}
		for(int j = i; j <= b; j += i) { f[j] = 1; }
	}
	out(ans);
}
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