Submission #930997

#	Time	Username	Problem	Language	Result	Execution time	Memory
930997		airths	A Huge Tower (CEOI10_tower)	C++17	15 / 100	84 ms	9920 KiB

tower

/*
 * 
 * 	^v^
 * 
 */
#include <iostream>
#include <numeric>
#include <set>
#include <iomanip>
#include <chrono>
#include <queue>
#include <string>
#include <vector>
#include <functional>
#include <map>
#include <bitset>
#include <algorithm>
#include <array>
#include <random>

using namespace std;

using ll = long long int;
using ld = long double;

#define iamtefu ios_base::sync_with_stdio(false); cin.tie(0);
#define fl(i,a,n) for (ll i{a}; i<n; i++)
#define fr(x,s) for(auto x:s)
#define rfl(i,a,n) for (ll i{n-1}; i>=a; i--)
#define ty int _; for(cin>>_; _--;)
#define print(a) for(auto ele:a){cout<<ele<<" ";}cout<<'\n';
#define all(x) x.begin(), x.end()

template <typename L, typename R>
inline bool chmax(L &a, R b){if (a<b){a=b;return 1;}return 0;}
template <typename L, typename R>
inline bool chmin(L &a, R b){if (a>b){a=b;return 1;}return 0;}

template <typename L, typename R>
ostream& operator<<(ostream &fout, const pair<L, R> &p){
	fout<<"{"<<p.first<<","<<p.second<<"}";
	return fout;
}

template <typename L, typename R, typename U>
ostream& operator<<(ostream &fout, const tuple<L, R, U> &p){
	auto &[l, r, u] = p;
	fout<<"{"<<l<<","<<r<<","<<u<<"}";
	return fout;
}

template <typename T>
ostream& operator<<(ostream &fout, const vector <T> &v){
	for (auto &x:v){
		fout<<x<<" ";
	}
	fout<<"\n";
	return fout;
}

template <typename T>
ostream& operator<<(ostream &fout, const set <T> &st){
	for (auto &x:st){
		fout<<x<<" ";
	}
	fout<<"\n";
	return fout;
}

template <typename T>
ostream& operator<<(ostream &fout, const multiset <T> &st){
	for (auto &x:st){
		fout<<x<<" ";
	}
	fout<<"\n";
	return fout;
}

template <typename K, typename V>
ostream& operator<<(ostream &fout, const map<K, V> &mp){
	fout<<"[";
	for (auto &[x,y]:mp){
		fout<<x<<":"<<y<<" ";
	}
	fout<<"]\n";
	return fout;
}

ll gcd(ll a, ll b){
	if (b==0){
		return a;
	}
	return gcd(b, a%b);
}

mt19937 rng(chrono::high_resolution_clock::now().time_since_epoch().count());

ll pw(ll a, ll b, ll m){
	ll res=1;
	a%=m;
	while (b){
		if (b&1){
			res=(res*a)%m;
		}
		a=(a*a)%m;
		b/=2;
	}
	return res;
}


const ll mod = 1e9+9;
void scn(){
	// not necessarily distinct
	// right down
	
	ll n, k; cin>>n>>k;
	vector <ll> a(n);
	fl(i,0,n){
		cin>>a[i];
	}
	vector <ll> fact(n+1, 1);
	fl(i,1,n+1){
		(fact[i]*=i*fact[i-1])%=mod;
	}
	sort(a.rbegin(), a.rend());
	ll i = -1;
	ll ans = 1;
	fl(j,0,n){
		if (j<n-1 && a[j]==a[j+1]){
			continue;
		}
		while (i<j && a[i+1]-a[j]>k){
			i++;
		}
		if (i!=j){
			(ans*=fact[j-i])%=mod;
		}
	}
	cout<<ans<<'\n';
}

int main(){
	iamtefu;
#if defined(airths)
	auto t1=chrono::high_resolution_clock::now();
	freopen("input.txt", "r", stdin);
	freopen("output.txt", "w", stdout);
#endif
	// ty
	{
		scn();
	}
#if defined(airths)
	auto t2=chrono::high_resolution_clock::now();
	ld ti=chrono::duration_cast<chrono::nanoseconds>(t2-t1).count();
	ti*=1e-6;
	cerr<<"Time: "<<setprecision(12)<<ti;
	cerr<<"ms\n";
#endif
	return 0;
}

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