#801502 (C++14) No.3048 Order and Harmony

• 問題: No.3048 Order and Harmony
• ユーザー: ecottea
• 提出日時: 2022-09-27 16:19:01
• 言語: C++14 (gcc 12.3.0 + boost 1.83.0)
• 結果: AC
• 実行時間: 4 ms / 2,000 ms
• コード長: 55,081 bytes
• コンパイル時間: 3,984 ms
• コンパイル使用メモリ: 234,524 KB
• 実行使用メモリ: 5,376 KB
• 最終ジャッジ日時: 2024-06-02 01:06:39
• 合計ジャッジ時間: 5,469 ms
• ジャッジサーバーID （参考情報）: judge1 / judge2

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	1 ms; 5,376 KB
testcase_02	AC	2 ms; 5,376 KB
testcase_03	AC	3 ms; 5,376 KB
testcase_04	AC	2 ms; 5,376 KB
testcase_05	AC	2 ms; 5,376 KB
testcase_06	AC	2 ms; 5,376 KB
testcase_07	AC	2 ms; 5,376 KB
testcase_08	AC	2 ms; 5,376 KB
testcase_09	AC	2 ms; 5,376 KB
testcase_10	AC	2 ms; 5,376 KB
testcase_11	AC	2 ms; 5,376 KB
testcase_12	AC	2 ms; 5,376 KB
testcase_13	AC	2 ms; 5,376 KB
testcase_14	AC	2 ms; 5,376 KB
testcase_15	AC	3 ms; 5,376 KB
testcase_16	AC	1 ms; 5,376 KB
testcase_17	AC	2 ms; 5,376 KB
testcase_18	AC	2 ms; 5,376 KB
testcase_19	AC	2 ms; 5,376 KB
testcase_20	AC	2 ms; 5,376 KB
testcase_21	AC	2 ms; 5,376 KB
testcase_22	AC	2 ms; 5,376 KB
testcase_23	AC	2 ms; 5,376 KB
testcase_24	AC	2 ms; 5,376 KB
testcase_25	AC	3 ms; 5,376 KB
testcase_26	AC	2 ms; 5,376 KB
testcase_27	AC	2 ms; 5,376 KB
testcase_28	AC	3 ms; 5,376 KB
testcase_29	AC	2 ms; 5,376 KB
testcase_30	AC	3 ms; 5,376 KB
testcase_31	AC	2 ms; 5,376 KB
testcase_32	AC	2 ms; 5,376 KB
testcase_33	AC	2 ms; 5,376 KB
testcase_34	AC	3 ms; 5,376 KB
testcase_35	AC	2 ms; 5,376 KB
testcase_36	AC	3 ms; 5,376 KB
testcase_37	AC	3 ms; 5,376 KB
testcase_38	AC	3 ms; 5,376 KB
testcase_39	AC	3 ms; 5,376 KB
testcase_40	AC	3 ms; 5,376 KB
testcase_41	AC	2 ms; 5,376 KB
testcase_42	AC	3 ms; 5,376 KB
testcase_43	AC	1 ms; 5,376 KB
testcase_44	AC	3 ms; 5,376 KB
testcase_45	AC	3 ms; 5,376 KB
testcase_46	AC	4 ms; 5,376 KB
testcase_47	AC	3 ms; 5,376 KB
testcase_48	AC	2 ms; 5,376 KB
testcase_49	AC	1 ms; 5,376 KB
testcase_50	AC	3 ms; 5,376 KB
testcase_51	AC	2 ms; 5,376 KB
testcase_52	AC	2 ms; 5,376 KB
testcase_53	AC	2 ms; 5,376 KB
testcase_54	AC	2 ms; 5,376 KB
testcase_55	AC	2 ms; 5,376 KB
testcase_56	AC	3 ms; 5,376 KB
testcase_57	AC	1 ms; 5,376 KB
testcase_58	AC	2 ms; 5,376 KB
testcase_59	AC	2 ms; 5,376 KB
testcase_60	AC	3 ms; 5,376 KB
testcase_61	AC	2 ms; 5,376 KB
testcase_62	AC	2 ms; 5,376 KB
testcase_63	AC	1 ms; 5,376 KB
testcase_64	AC	4 ms; 5,376 KB

ソースコード

#ifndef HIDDEN_IN_VS // 折りたたみ用

// 警告の抑制
#define _CRT_SECURE_NO_WARNINGS

// ライブラリの読み込み
#include <bits/stdc++.h>
using namespace std;

// 型名の短縮
using ll = long long; // -2^63 ～ 2^63 = 9 * 10^18（int は -2^31 ～ 2^31 = 2 * 10^9）
using pii = pair<int, int>;	using pll = pair<ll, ll>;	using pil = pair<int, ll>;	using pli = pair<ll, int>;
using vi = vector<int>;		using vvi = vector<vi>;		using vvvi = vector<vvi>;
using vl = vector<ll>;		using vvl = vector<vl>;		using vvvl = vector<vvl>;
using vb = vector<bool>;	using vvb = vector<vb>;		using vvvb = vector<vvb>;
using vc = vector<char>;	using vvc = vector<vc>;		using vvvc = vector<vvc>;
using vd = vector<double>;	using vvd = vector<vd>;		using vvvd = vector<vvd>;
template <class T> using priority_queue_rev = priority_queue<T, vector<T>, greater<T>>;
using Graph = vvi;

// 定数の定義
const double PI = acos(-1);
const vi DX = { 1, 0, -1, 0 }; // 4 近傍（下，右，上，左）
const vi DY = { 0, 1, 0, -1 };
int INF = 1001001001; ll INFL = 4004004004004004004LL;
double EPS = 1e-12;

// 入出力高速化
struct fast_io { fast_io() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(18); } } fastIOtmp;

// 汎用マクロの定義
#define all(a) (a).begin(), (a).end()
#define sz(x) ((int)(x).size())
#define lbpos(a, x) (int)distance((a).begin(), std::lower_bound(all(a), x))
#define ubpos(a, x) (int)distance((a).begin(), std::upper_bound(all(a), x))
#define Yes(b) {cout << ((b) ? "Yes\n" : "No\n");}
#define rep(i, n) for(int i = 0, i##_len = int(n); i < i##_len; ++i) // 0 から n-1 まで昇順
#define repi(i, s, t) for(int i = int(s), i##_end = int(t); i <= i##_end; ++i) // s から t まで昇順
#define repir(i, s, t) for(int i = int(s), i##_end = int(t); i >= i##_end; --i) // s から t まで降順
#define repe(v, a) for(const auto& v : (a)) // a の全要素（変更不可能）
#define repea(v, a) for(auto& v : (a)) // a の全要素（変更可能）
#define repb(set, d) for(int set = 0; set < (1 << int(d)); ++set) // d ビット全探索（昇順）
#define repp(a) sort(all(a)); for(bool a##_perm = true; a##_perm; a##_perm = next_permutation(all(a))) // a の順列全て（昇順）
#define smod(n, m) ((((n) % (m)) + (m)) % (m)) // 非負mod
#define uniq(a) {sort(all(a)); (a).erase(unique(all(a)), (a).end());} // 重複除去
#define EXIT(a) {cout << (a) << endl; exit(0);} // 強制終了

// 汎用関数の定義
template <class T> inline ll pow(T n, int k) { ll v = 1; rep(i, k) v *= n; return v; }
template <class T> inline bool chmax(T& M, const T& x) { if (M < x) { M = x; return true; } return false; } // 最大値を更新（更新されたら true を返す）
template <class T> inline bool chmin(T& m, const T& x) { if (m > x) { m = x; return true; } return false; } // 最小値を更新（更新されたら true を返す）

// 演算子オーバーロード
template <class T, class U> inline istream& operator>>(istream& is, pair<T, U>& p) { is >> p.first >> p.second; return is; }
template <class T> inline istream& operator>>(istream& is, vector<T>& v) { repea(x, v) is >> x; return is; }
template <class T> inline vector<T>& operator--(vector<T>& v) { repea(x, v) --x; return v; }
template <class T> inline vector<T>& operator++(vector<T>& v) { repea(x, v) ++x; return v; }

// 手元環境（Visual Studio）
#ifdef _MSC_VER
#include "local.hpp"
// 提出用（gcc）
#else
inline int popcount(int n) { return __builtin_popcount(n); }
inline int popcount(ll n) { return __builtin_popcountll(n); }
inline int lsb(int n) { return n != 0 ? __builtin_ctz(n) : -1; }
inline int lsb(ll n) { return n != 0 ? __builtin_ctzll(n) : -1; }
inline int msb(int n) { return n != 0 ? (31 - __builtin_clz(n)) : -1; }
inline int msb(ll n) { return n != 0 ? (63 - __builtin_clzll(n)) : -1; }
#define gcd __gcd
#define dump(...)
#define dumpel(v)
#define dump_list(v)
#define input_from_file(f)
#define output_to_file(f)
#define Assert(b) { if (!(b)) while (1) cout << "OLE"; }
#endif

#endif // 折りたたみ用


//--------------AtCoder 専用--------------
#include <atcoder/all>
using namespace atcoder;

using mint = modint1000000007;
//using mint = modint998244353;
//using mint = modint; // mint::set_mod(m);

istream& operator>>(istream& is, mint& x) { ll x_; is >> x_; x = x_; return is; }
ostream& operator<<(ostream& os, const mint& x) { os << x.val(); return os; }
using vm = vector<mint>; using vvm = vector<vm>; using vvvm = vector<vvm>;
//----------------------------------------


void TLE() {
	int k;
	cin >> k;

	if (k & 1) EXIT(0);
	int n = k / 2;

	mint dnm = 1;
	repi(i, 1, n) dnm *= i;

	mint num = dnm;
	repi(i, n + 1, 2 * n) num *= i;

	mint res = num / (dnm * dnm);

	cout << res << endl;
}


const int W = (int)2e5;
void umekomi() {
	mint fac = 1;

	vm res;

	repi(i, 1, (int)1e9 + 7) {
		fac *= i;
		if (i % W == 0) res.emplace_back(fac);
	}

	cout << "vi FACT={1,";
	rep(i, sz(res)) cout << res[i] << (i < sz(res) - 1 ? "," : "};\n");

	exit(0);
}

// FACT[i] = (W i)!
vi FACT = { 1,107146451,559805077,679209364,644158465,641102369,363599536,539157852,309854856,663484182,578095319,765808214,585806050,579773866,861745250,5832229,242744764,899032987,150478174,627860803,259081142,544918953,907400235,421968194,278955367,974067448,996965954,473966292,479920311,752161465,316220877,1575312,620898940,405577532,956413299,690120224,24521750,576078970,929871923,14422365,251368199,582439362,220087090,98361446,763414075,980250487,618104354,398723029,764421236,476998749,682498929,152611299,345470378,403024660,140864216,134623568,373126171,461157687,363224613,526497651,95936601,19447777,584319463,569582206,9045328,933097914,959173997,559096347,12442609,508362944,167332441,75538458,275742306,137855279,60332461,598816162,31223863,767213175,564190300,222078457,336060741,632048012,895642779,171183381,851161246,248744620,635103992,605016577,853414712,546047842,626497524,867430659,904851726,475501650,298693437,288843364,52298443,743602491,479708090,125625755,491101308,662967999,385457627,482257159,393222011,245341950,474567292,196002818,754437203,542706821,565768255,524308015,545648343,58680787,792180189,246899319,99934426,788944266,676012445,610686655,968999,595032530,244819707,511710008,902492598,586350670,979137619,980655027,474700377,30153596,638587686,420932107,353049206,281562548,921459833,881746146,850268753,711117420,919203761,831442297,19426633,910061172,862345480,293462255,542955556,850500036,181909169,496532173,582702682,168757859,76479948,477639087,930180103,941723214,28581913,268124147,685075984,53790970,672818243,581968000,842267748,947532066,451116854,333707614,650009312,886294336,868829344,613566917,695702195,853242582,485348706,229827108,827117592,492711911,296974594,463847391,649090736,204857297,760019200,942731826,544075857,185735387,550588097,632593345,706629399,898187927,854821744,297803207,596729075,466541843,798967520,743420839,198998756,526623452,952046139,82926604,924044367,23777891,924258126,450837733,723816384,535478979,53975412,517436639,63932312,156530778,807928028,305569485,545662462,29493652,721996174,49456224,480391065,526281212,151117811,299085602,522961673,374481484,489252071,589831644,323604647,153393495,268164416,48301315,90383486,172827403,800588969,757146415,169338716,192601723,398699886,675113999,139831846,135840345,475501867,530389102,499294891,415376,114785958,576550918,294587621,714006296,457685563,875018827,254653019,813805606,172340144,498342367,258170000,43217172,67347853,909565792,16783532,495844744,402811155,497478507,110424728,441813281,581794056,561458723,196447201,404666335,118379156,910698506,850677980,722054885,777969547,12568481,748065817,60153582,228338256,433273104,521949545,52378412,701779420,407719831,445935909,752708852,15212588,650765251,762479457,398970308,808076198,39427394,8600742,746536789,586283387,655840660,152366450,741393509,811667359,415355660,386594397,97783708,333236625,778773518,205743536,570866962,242211856,218690396,27368307,562235036,987935647,849148138,692637504,438371670,422227498,845152439,883281454,243833737,59469516,765962345,89372661,972779460,599040453,5974669,324069108,180699112,833342486,793755411,766196482,468608739,812248718,494936006,59143878,606322308,732001446,635032673,759041389,554416265,86609485,559966857,658825730,586359929,562500933,889750731,724008021,806898745,995252950,135711291,340941507,700915958,324648749,722436788,59758328,371263376,265906250,850300987,61732363,887464462,625544428,279914778,644000584,180090545,9409022,788878910,631046702,358050946,714475801,883906209,808412394,528517448,316094660,724209709,544375689,996952918,79329551,136597179,64972739,930161980,585237443,422015194,62785084,374220150,44615465,1669644,42241449,58647723,929666976,307936472,361786913,974936549,107912795,225369475,703087658,480748381,2295485,880634238,805196528,188324947,595143852,926866806,742851567,666743467,973671409,837229828,243910108,697054929,57085695,469594245,199888908,649491763,274161939,558233225,470545797,526807168,244714186,411969385,54080847,427233799,579691190,754963083,169559902,270720182,588618211,145404005,478716222,293401592,614571924,321950925,459188207,805552722,508829534,304228537,355209596,534491822,947251800,225966128,986142683,701643375,439729802,759944655,349343101,48980788,212468510,840398449,259450229,983563606,704289349,442694685,899297830,121102289,405640886,513670887,961729079,235861787,281870391,270409779,798401543,369530217,888050723,920492865,298494436,756462483,628273353,656116726,247544137,294651705,412762822,489872437,736550105,461990959,534030848,365932794,610954403,440902696,253238972,682492613,522303856,839296517,85990869,288079694,617973869,825208191,111668651,884343068,125800325,805525713,184783824,425093556,56305184,939279559,912326839,855064933,756764497,973478770,706513987,632521245,897480658,888874515,168891766,413551441,450119928,687166876,349851104,804805577,160016093,64401654,546799298,304104093,927880474,870230497,673373340,543880181,83687737,876297919,298117414,660162137,7530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};

mint factorial(int n) {
	int q = n / W;

	mint res = FACT[q];
	repi(i, q * W + 1, n) res *= i;

	return res;
}


int main() {
//	input_from_file("input.txt");
//	output_to_file("output.txt");
	
	//【解説 AC】
	// O(n) は 2 秒には間に合わないが，手元では待てないほどではない．
	// よって途中からの計算で済むように一部の計算結果を埋め込んでしまえばいい．

//	umekomi();

	int k;
	cin >> k;

	if (k & 1) EXIT(0);
	int n = k / 2;

	mint res = factorial(2 * n);
	res /= factorial(n).pow(2);

	cout << res << endl;
}