#157126 (C++11) No.492 IOI数列

提出ソース

結果

問題	No.492 IOI数列
ユーザー	IL_msta
提出日時	2017-03-11 00:41:48
言語	C++11 (gcc 11.4.0)
結果	AC
実行時間	2 ms / 1,000 ms
コード長	7,560 bytes
コンパイル時間	2,508 ms
コンパイル使用メモリ	139,276 KB
実行使用メモリ	6,944 KB
最終ジャッジ日時	2024-06-24 09:19:50
合計ジャッジ時間	3,573 ms
ジャッジサーバーID （参考情報）	judge2 / judge4

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 6,812 KB
testcase_01	AC	2 ms 6,944 KB
testcase_02	AC	2 ms 6,940 KB
testcase_03	AC	2 ms 6,940 KB
testcase_04	AC	2 ms 6,944 KB
testcase_05	AC	2 ms 6,940 KB
testcase_06	AC	2 ms 6,940 KB
testcase_07	AC	2 ms 6,944 KB
testcase_08	AC	2 ms 6,944 KB
testcase_09	AC	2 ms 6,940 KB
testcase_10	AC	2 ms 6,940 KB
testcase_11	AC	2 ms 6,944 KB
testcase_12	AC	1 ms 6,940 KB
testcase_13	AC	2 ms 6,940 KB
testcase_14	AC	2 ms 6,944 KB
testcase_15	AC	2 ms 6,944 KB
testcase_16	AC	2 ms 6,940 KB
testcase_17	AC	2 ms 6,940 KB
testcase_18	AC	1 ms 6,940 KB
testcase_19	AC	2 ms 6,944 KB
testcase_20	AC	2 ms 6,944 KB
testcase_21	AC	2 ms 6,944 KB

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ソースコード

raw source code

#pragma region GNUC
//以下を参考にした
//https://yukicoder.me/wiki/auto_vectorization
#ifdef __GNUC__
#pragma GCC optimize ("O3")
#pragma GCC target ("avx")
#endif
#pragma endregion

#define _USE_MATH_DEFINES

#pragma region
#include <iostream>
#include <iomanip>
#include <stdio.h>

#include <sstream>
#include <algorithm>
#include <cmath>

#include <string>
#include <cstring>
#include <vector>

#include <queue>
#include <complex>
#include <set>
#include <map>
#include <stack>
#include <list>

#include <fstream>
#include <random>
#pragma endregion //#include
/////////
#define REP(i, x, n) for(int i = x; i < n; ++i)
#define rep(i,n) REP(i,0,n)
/////////
#pragma region
typedef long long LL;
typedef long double LD;
typedef unsigned long long ULL;
#pragma endregion //typedef
/////////
//定数
const int INF = (int)1e9;
const int MOD = (int)1e9+7;
const LL LINF = (LL)1e18;
/////////
using namespace::std;
/////////
#pragma region Math
// 最大公約数
template<class T>
inline T gcd(T a, T b){return b ? gcd(b, a % b) : a;}
//inline T gcd(T a, T b){return b == 0 ? a : gcd(b, a % b);}

// 最小公倍数
template<class T>
inline T lcm(T a, T b){return a / gcd(a, b) * b;}
//inline T lcm(T a, T b){return a * b / gcd(a, b);}
#pragma endregion //math
#pragma region
template<class T>
void UNIQUE(vector<T>& vec){
	sort(vec.begin(),vec.end());
	vec.erase(unique(vec.begin(),vec.end()),vec.end() );
}
#pragma endregion // sort erase unique
////////////////////////////////
struct edge{int to;LL cost;};
edge make_edge(int to,LL cost){
	edge ret = {to,cost};
	return ret;
}
#pragma region //グラフ
void dijkstra(int root,int V,vector<LL>& dist,
	vector< vector<edge> > G	){
	priority_queue<pair<LL,int>,vector<pair<LL,int> >,greater<pair<LL,int> > > que;
	dist.assign(V,LINF);
	dist[root] = 0;
	que.push(pair<LL,int>(0,root));//距離、頂点番号

	while( !que.empty() ){
		pair<LL,int> p = que.top();que.pop();
		int v = p.second;
		if( dist[v] < p.first ) continue;
		for(int i=0;i < (int)G[v].size();++i){
			edge e = G[v][i];
			if( dist[e.to] > dist[v] + e.cost ){
				dist[e.to] = dist[v] + e.cost;
				que.push(pair<LL,int>(dist[e.to],e.to));
			}
		}
	}
}
#pragma endregion //ダイクストラ法:O(|E|log|V|)
#pragma region //グラフ
void warshall_floyd(vector<vector<LL> >& dist,int V,const LL INF=LINF){
	for(int k=0;k<V;++k){
		for(int i=0;i<V;++i){
			if( dist[i][k] >= INF ) continue;
			for(int j=0;j<V;++j){
				if( dist[k][j] >= INF )continue;
				dist[i][j] = min(dist[i][j],dist[i][k]+dist[k][j]);
			}
		}
	}
}
#pragma endregion //ワーシャルフロイド:O(|V|**3)
#pragma region 
//http://sugarknri.hatenablog.com/entry/2016/07/16/165715
//LL inv[1000010];
void makeinv(vector<LL>& inv,const LL P){
	int i;
	inv = vector<LL>(1000010,0);
	inv[1]=1;
	for(i=2;i<=1000000;i++){
		inv[i] = inv[P%i] * (P-P/i)%P;//OVF
	}
}

ULL nCk(ULL N,ULL k){
	static vector<LL> inv;
	if( inv.size() == 0 ){
		makeinv(inv,MOD);
	}
	k = min(k,N-k);
	if( k == 0 ){return 1;}
	if( k == 1 ){return N%MOD;}
	ULL ret = 1;
	for(int i=1;i<=k;++i){
		ret *= ((N+1-i)*inv[i])%MOD;//OVF
		ret %= MOD;
	}
	return ret;
}
#pragma endregion //組み合わせnCk(,10^5)
#pragma region CGL
class Point{
public:
	double x,y;
	Point(double x=0,double y=0):x(x),y(y){}

	Point	operator +	(Point p){return Point(add(x,p.x),add(y,p.y));}
	void	operator +=	(Point p){x=add(x,p.x);y=add(y,p.y);}
	Point	operator -	(Point p){return Point(add(x,-p.x),add(y,-p.y));}
	void	operator -=	(Point p){x=add(x,-p.x);y=add(y,-p.y);}
	Point	operator *	(double a){return Point(x*a,y*a);}
	double	operator *	(Point p){return dot(p);}
	Point	operator /	(double a){return Point(x/a,y/a);}

	double norm(){return sqrt(x*x+y*y);}
	double dot(Point p){return add(x*p.x,y*p.y);}
	double rot(Point p){return add(x*p.y,-y*p.x);}
	double add(double a,double b){
		double EPS = 1e-10;
		if( abs(a+b) < EPS*(abs(a)+abs(b)) ){
			return 0;
		}
		return a+b;
	}
};
istream& operator>>(istream& in,Point& P){
	in >> P.x >> P.y;
	return in;
}

//線分p1-p2上に点qがあるか判定
bool on_seg(Point p1,Point p2,Point q){
	return (p1-q).rot(p2-q) == 0 && (p1-q).dot(p2-q) <= 0;
}
Point intersection(Point p1,Point p2,Point q1,Point q2){
	return p1+(p2-p1)*((q2-q1).rot(q1-p1)/(q2-q1).rot(p2-p1));
}
enum PointPotion{ON_SEGMENT,COUNTER_CLOCKWISE,ONLINE_BACK,CLOCKWISE,ONLINE_FRONT};
PointPotion ccw(Point A,Point B,Point C){
	B -= A;C -=A;
	if( B.rot(C) > 0 ) return COUNTER_CLOCKWISE;
	if( B.rot(C) < 0 ) return CLOCKWISE;
	if( B.dot(C) < 0 ) return ONLINE_BACK;
	if( B.norm() < C.norm() ) return ONLINE_FRONT;
	return ON_SEGMENT;
}
#pragma endregion //class Point
#pragma region
//辞書順で比較
bool cmp_x(const Point& p,const Point& q){
	if( p.x != q.x ) return p.x < q.x;
	return p.y < q.y;
}

//凸包を求める
vector<Point> convex_hull(vector<Point> ps,int n){
	sort(ps.begin(),ps.end(), cmp_x);
	int k = 0;//凸包の頂点数
	vector<Point> qs(n*2);//構築中の凸包
	//下側の凸包の作成
	for(int i=0;i<n;++i){
		while(k>1 && (qs[k-1]-qs[k-2]).rot(ps[i]-qs[k-1]) <=0){
			k--;
		}
		qs[k++] = ps[i];
	}
	//上側凸包の作成
	for(int i=n-2,t=k;i>=0;i--){
		while(k>t && (qs[k-1]-qs[k-2]).rot(ps[i]-qs[k-1]) <=0){
			k--;
		}
		qs[k++] = ps[i];
	}
	qs.resize(k-1);
	return qs;
}
#pragma endregion //凸包
#pragma region 
template<class T,class U>
istream& operator>>(istream& in,pair<T,U> P){
	in >> P.first >> P.second;
	return in;
}
#pragma endregion //cin pair<T,U>
#pragma region 
#pragma endregion //
const double PI = acos(-1.0);
const double EPS = 1e-9;

vector< vector<LL> > MUL( vector<vector<LL> > A,vector< vector<LL> > B){
	int R = A.size();
	int cen = A[0].size();
	int C = B[0].size();
	vector< vector<LL> > ans(R,vector<LL>(C,0) );
	for(int row=0;row<R;++row){
		for(int col=0;col<C;++col){
			for(int inner=0;inner< cen;++inner){
				ans[row][col] = (ans[row][col] + A[row][inner]*B[inner][col])%MOD;
			}
		}
	}
	return ans;
}
vector< vector<LL> > powMat(vector< vector<LL> > mat,LL N){
	int R = mat.size();
	int C = mat[0].size();
	//R==C
	vector< vector<LL> > I(R,vector<LL>(C,0));//単位元
	for(int i=0;i<R && i<C;++i){
		I[i][i] = 1;
	}
	if( N == 0 ){
		return I;
	}
	vector< vector<LL> > mul(R,vector<LL>(C)),ans(R,vector<LL>(C));
	ans = I;
	mul = mat;
	while(N){
		if( N & 1 ){
			ans = MUL(ans,mul);
		}
		N >>= 1;
		mul = MUL(mul,mul);
	}
	return ans;
}

void solve(){
	LL N;
	cin >> N;
	vector< vector<LL> > start(3,vector<LL>(1));
	start[0][0] = 101;
	start[1][0] = 1;
	start[2][0] = 1;
	vector< vector<LL> > Amat(3,vector<LL>(3,0));
	vector< vector<LL> > Bmat(3,vector<LL>(3,0));
	Amat[0][0] =100;Amat[0][1] =   0;Amat[0][2] = 1;
	Amat[1][0] =  0;Amat[1][1] = 100;Amat[1][2] = 1;
	Amat[2][0] =  0;Amat[2][1] =   0;Amat[2][2] = 1;
	/*for(int i=1;i<10;++i){
		Bmat = powMat(Amat,i);
		vector< vector<LL> > res;
		res = MUL(Bmat,start);
		for(int i=0;i<3;++i){
			cout << res[i][0] << " ";
		}cout << endl;
	}*/

	//1米
	if( N == 1){cout << 1 << endl;}
	else if(N==2){cout << 101 << endl;}
	else{
		Bmat = powMat(Amat,N-2);
		vector< vector<LL> > res;
		res = MUL(Bmat,start);
		cout << res[0][0] << endl;
	}

	//2個目
	int loop = N%11;
	if( loop == 0 ){
		cout << 0 << endl;
	}else{
		LL ans = 1;
		for(int i=1;i<loop;++i){
			ans = ans*100+1;
		}
		cout << ans << endl;
	}
}

#pragma region main
signed main(void){
	std::cin.tie(0);
	std::ios::sync_with_stdio(false);
	std::cout << std::fixed;//小数を10進数表示
	cout << setprecision(16);//小数点以下の桁数を指定
	
	solve();
}
#pragma endregion //main()