結果
問題 | No.492 IOI数列 |
ユーザー |
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提出日時 | 2017-03-11 00:38:01 |
言語 | C++14 (gcc 13.3.0 + boost 1.87.0) |
結果 |
AC
|
実行時間 | 2 ms / 1,000 ms |
コード長 | 5,223 bytes |
コンパイル時間 | 1,687 ms |
コンパイル使用メモリ | 175,772 KB |
実行使用メモリ | 6,944 KB |
最終ジャッジ日時 | 2024-06-24 09:18:59 |
合計ジャッジ時間 | 2,629 ms |
ジャッジサーバーID (参考情報) |
judge4 / judge2 |
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ファイルパターン | 結果 |
---|---|
sample | AC * 3 |
other | AC * 19 |
ソースコード
#include <bits/stdc++.h>using namespace std;#define _p(...) (void)printf(__VA_ARGS__)#define forr(x,arr) for(auto&& x:arr)#define _overload3(_1,_2,_3,name,...) name#define _rep2(i,n) _rep3(i,0,n)#define _rep3(i,a,b) for(int i=int(a);i<int(b);++i)#define rep(...) _overload3(__VA_ARGS__,_rep3,_rep2,)(__VA_ARGS__)#define _rrep2(i,n) _rrep3(i,0,n)#define _rrep3(i,a,b) for(int i=int(b)-1;i>=int(a);i--)#define rrep(...) _overload3(__VA_ARGS__,_rrep3,_rrep2,)(__VA_ARGS__)#define all(x) (x).begin(), (x).end()#define bit(n) (1LL<<(n))#define sz(x) ((int)(x).size())#define fst first#define snd secondusing ll=long long;using pii=pair<int,int>;using pll=pair<ll,ll>;using pil=pair<int,ll>;using pli=pair<ll,int>;using vs=vector<string>;using vvs=vector<vs>;using vvvs=vector<vvs>;using vb=vector<bool>;using vvb=vector<vb>;using vvvb=vector<vvb>;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 vd=vector<double>;using vvd=vector<vd>;using vvvd=vector<vvd>;using vpii=vector<pii>;using vvpii=vector<vpii>;using vvvpii=vector<vvpii>;template<class T,class U>istream&operator>>(istream&is,pair<T,U>&P){is>>P.fst;is>>P.snd;return is;}template<class T>T read(){T t;cin>>t;return t;}template<class T,class U>ostream&operator<<(ostream&o,const pair<T,U>&p){return o<<'('<<p.fst<<", "<<p.snd<<')';}template<class T>ostream&operator<<(ostream&o,const vector<T>&t){o<<"{";rep(i,sz(t))o<<t[i]<<",";o<<"}"<<endl;return o;}#ifdef LOCALvs s_p_l_i_t(const string&s,char c){vs v;stringstream ss(s);string x;while(getline(ss,x,c))v.emplace_back(x);return move(v);}void e_r_r(vs::iterator it){cerr<<endl;}template<class T,class... Args>void e_r_r(vs::iterator it,T a,Args... args){cerr<<it->substr((*it)[0]==' ',it->length())<<" = "<<a<<", ";e_r_r(++it,args...);}#define out(args...){vs a_r_g_s=s_p_l_i_t(#args,',');e_r_r(a_r_g_s.begin(),args);}#else#define out(args...)#endifconst int mod = 1000000007;template<int MOD>struct Mint {int x;Mint() : x(0) {}Mint(int y) : x(y >= 0 ? y % MOD : MOD - (-y) % MOD) {}Mint(signed long long sll) : x(sll % MOD) { if (x < 0) x += MOD; }Mint &operator+=(const Mint &rhs){ if((x += rhs.x) >= MOD) x -= MOD; return *this; }Mint &operator-=(const Mint &rhs){ if((x += MOD - rhs.x) >= MOD) x -= MOD; return *this; }Mint &operator*=(const Mint &rhs){ x = 1LL*x*rhs.x % MOD; return *this; }Mint &operator/=(const Mint &rhs){ x = (1LL*x*rhs.inv().x) % MOD; return *this; }Mint operator-() const { return Mint(-x); }Mint operator+(const Mint &rhs) const { return Mint(*this) += rhs; }Mint operator-(const Mint &rhs) const { return Mint(*this) -= rhs; }Mint operator*(const Mint &rhs) const { return Mint(*this) *= rhs; }Mint operator/(const Mint &rhs) const { return Mint(*this) /= rhs; }bool operator<(const Mint &rhs) const { return x < rhs.x; }Mint inv() const {signed a = x, b = MOD, u = 1, v = 0, t;while(b){ t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); }return Mint(u);}Mint operator^(unsigned long long t) const {Mint e = *this, res = 1;for(; t; e *= e, t>>=1) if (t & 1) res *= e;return res;}};template<int MOD> ostream &operator<<(ostream &os, const Mint<MOD> &rhs) { return os << rhs.x; }template<int MOD> istream &operator>>(istream &is, Mint<MOD> &rhs) { long long s; is >> s; rhs = Mint<MOD>(s); return is; };using mint = Mint<mod>;using vm=vector<mint>;using vvm=vector<vm>;using vvvm=vector<vvm>;template<typename T, int N>struct matrix_ {array<T, N*N> val;matrix_(vector<vector<T>> ini) {for (int i = 0; i < N; i++) for (int j = 0; j < N; j++)val[i * N + j] = ini[i][j];}// d=0: zero matrix, d=1: identity matrixmatrix_(int d = 0) {for (int i = 0; i < N; i++) for (int j = 0; j < N; j++)val[i * N + j] = T((i == j) * d);}matrix_ operator+(const matrix_ &x) const {matrix_ ret;for (int i = 0; i < N; i++) for (int j = 0; j < N; j++) {ret.val[i * N + j] = val[i * N + j] + x.val[i * N + j];//if (ret.val[i * N + j] > mod) ret.val[i * N + j] -= mod;}return ret;}matrix_ operator*(const matrix_ &x) const {matrix_ ret;for (int i = 0; i < N; i++) for (int k = 0; k < N; k++) for (int j = 0; j < N; j++) {ret.val[i * N + j] += val[i * N + k] * x.val[k * N + j];//if (ret.val[i * N + j] > mod) ret.val[i * N + j] %= mod;}return ret;}matrix_ operator^(unsigned long long p) const {matrix_ ret(1);matrix_ x(*this);while (p) {if (p & 1) ret = ret * x;x = x * x;p >>= 1;}return ret;}T& at(int row, int col) {return val[row * N + col];}};using Mat = matrix_<mint, 3>;void Main() {ll n = read<ll>();const Mat ini({{100,0,1}, {1,0,0}, {0,0,1}});auto a1 = ini ^ n;auto ans1 = a1.val[2];ll x2 = (n-1) % 11;string ans2;if (x2 == 10) {ans2 = "0";}else {ans2 += "1";rep(i, x2) {ans2 += "01";}}cout << ans1 << endl;cout << ans2 << endl;}int main() { cin.tie(nullptr); ios::sync_with_stdio(false); Main(); return 0; }