Source Code
#include<iostream>
using namespace std;

#include<stack>
#include<queue>
#include<set>
#include<vector>
#include<algorithm>
#include<string>
#include <functional>
#include<map>
#include<iomanip>
#include<cmath>
#include<list>




#define fst ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL)
typedef long long ll;
typedef unsigned long long ull;
#define all(v) v.begin(),v.end()
#define vi vector<int>
#define pii pair<int,int>
#define vll vector<ll>
#define fin(i,v) for(ll i=0;i<v.size();i++)
#define go(x,y) for(int i=x;i<=y;i++)
#define MOD 1e9+7
#define out(x) cout << x << endl
#define mii map<int,int>
#define mp map<int,double>
#define loop(mp) for(auto i=mp.begin();i!=mp.end();i++)
#define mm(arr) memset(arr, 0, sizeof(arr))
#define mp(x,y) make_pair(x,y)

#define two2n(n) (1<<n)
constexpr auto PI = 3.14159265358979323846;;
constexpr auto mod = 1000000007;


bool ispow(unsigned long long x)
{
	return (x != 0) && ((x & (x - 1)) == 0);
}


bool how(pair<char, int>& a, pair<char, int>& b)
{
	return (a.second < b.second); /* || (a.first == b.first && a.second < b.second));*/
}


/*
		auto start = high_resolution_clock::now();
		auto stop = high_resolution_clock::now();
		auto duration = duration_cast<microseconds>(stop - start);
		cout << "time needed is : " << fixed << setprecision(8) << duration.count() << "   microseconds" << endl;

*/


bool isprime(ll n)
{
	if (n <= 1)
		return false;


	for (int i = 2; i <= sqrt(n); i++)
		if (n % i == 0)
			return false;

	return true;
}

void primeinrange(ll n)
{
	vll v(n, 1);
	v[0] = 0;
	v[1] = 0;

	ll i = 2;
	ll k = 0;
	while (i * i <= n)
	{
		if (v[i] == 0)
		{
			i++;
			continue;
		}
		ll j = 2 * i;
		while (j < n)
		{
			v[j] = 0;
			j += i;
		}
		i++;
	}

	for (int i = 1; i < n; i++)
		if (v[i] == 1)
			k++;
	cout << k << endl;
	for (int i = 1; i < n; i++)
		if (v[i] == 1)
			cout << i << " ";
}
int dash(vector<int>& v, int l, int r, int val)
{
	if (l > r)
		return 0;
	int m = (l + r) / 2;

	v[m] = val;
	dash(v, m + 1, r, val - 1);
	dash(v, l, m - 1, val - 1);

	return 0;
}
void print(int x)
{
	int n = pow(2, x) - 1;
	vector<int>v(n);
	dash(v, 0, n - 1, x);

	for (int i = 0; i < n; i++)
	{
		for (int k = 0; k < v[i]; k++)
			cout << "-";

		cout << endl;
	}
}

unsigned long int binomialCoeff(unsigned int n,
	unsigned int k)
{
	unsigned long int res = 1;

	// Since C(n, k) = C(n, n-k)
	if (k > n - k)
		k = n - k;

	// Calculate value of [n*(n-1)*---*(n-k+1)] / [k*(k-1)*---*1]
	for (int i = 0; i < k; ++i)
	{
		res *= (n - i);
		res %= mod;
		res /= (i + 1);
	}

	return res;
}


unsigned long int catalan(unsigned int n)
{
	
	unsigned long int c = binomialCoeff(2 * n, n);
	c %= mod;
	
	return c / (n + 1);
}


unsigned long int findWays(unsigned n)
{
	
	if (n & 1)
		return 0;

	
	return catalan(n / 2);
}


int main()
{

	//freopen("tank.in", "r", stdin);
	//freopen("output.txt", "w", stdout);
	fst;

	int n;
	cin >> n;
	if (n < 6)
	{
		cout << 0 << endl;
		return 0;
	}
	if (n == 6)
	{
		cout << 1 << endl;
		return 0;
	}
	int k = n - 6;
	ll ans = findWays(k);
	ll w = 1;
	for (int i = 0; i < k; i++)
	{
		w *= 2;
		w %= mod;
	}
	w *= ans;
	w %= mod;
	cout << w << endl;

	return 0;
}
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Bracket Sequence M_kmail
GNU G++17
3 ms
980 KB
Wrong Answer