結果

問題 No.492 IOI数列
ユーザー しらっ亭
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
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 19
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#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 second
using 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 LOCAL
vs 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...)
#endif
const 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 matrix
matrix_(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; }
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