#define _CRT_SECURE_NO_WARNINGS #define _USE_MATH_DEFINES #include "bits/stdc++.h" #include using namespace std; #define rep(i,n) for(int i=0;i<(n);++i) #define rep2(i,a,b) for(int i=(a);i<(b);++i) #define rrep(i,n) for(int i=(n)-1;i>=0;--i) #define rrep2(i,a,b) for(int i=(a)-1;i>=b;--i) #define range(i,a,b,c) for(int i=a;\ c>0?ib;\ i+=c) #define chmax(a, b) (a = (a) < (b) ? (b) : (a)) #define chmin(a, b) (a = (a) > (b) ? (b) : (a)) using ll = long long; using ull = unsigned long long; using ld = long double; #define all(a) begin(a),end(a) #define ifnot(a) if(not (a)) #define dump(x) cerr << #x << " = " << (x) << endl #define int long long #ifdef _MSC_VER const bool test = true; #else const bool test = false; #endif int dx[] = { 1,0,-1,0 }; int dy[] = { 0,1,0,-1 }; const int INF = 1 << 28; const ll INFL = (ll)1 << 58; ll mod = (int)1e9 + 7; const double eps = 1e-10; typedef long double Real; // return -1, 0, 1 int sgn(const Real& r) { return (r > eps) - (r < -eps); } int sgn(const Real& a, const Real &b) { return sgn(a - b); } //..................... const int MAX = (int)2e5 + 5; vector split(const string &str, char sep) { vector v; stringstream ss(str); string buffer; while (getline(ss, buffer, sep)) { v.push_back(buffer); } return v; } template int sum(InputIterator begin, InputIterator end) { return accumulate(begin, end, 0ll); } string reverse_res(string s) { reverse(all(s)); return s; } template class matrix { private: vector> data; size_t row_n; size_t column_n; public: matrix(int a, int b) { data.resize(a); for (int i = 0; i < a; i++) data[i].resize(b); row_n = a; column_n = b; } matrix(vector> a) { row_n = a.size(); column_n = a[0].size(); assert(row_n != 0); data.resize(a.size()); for (int i = 0; i < a.size(); i++) { assert(a[i].size() == column_n); data[i] = a[i]; } } const size_t row_size() const { return row_n; } const size_t column_size() const { return column_n; } vector& operator [] (size_t a) { return data[a]; } const vector operator [] (size_t a) const { return data[a]; } template matrix& operator %= (const U& b) { matrix mat = (*this) % b; this->data = mat.data; return *this; } }; template bool operator == (const matrix& a, const matrix& b) { if (a.row_size() != b.row_size()) return false; if (a.column_size() != b.column_size()) return false; rep(i, a.row_size()) { rep(j, a.column_size()) { if (a[i][j] != b[i][j]) return false; } } return true; } template bool operator != (const matrix& a, const matrix& b) { return not (a == b); } template matrix operator * (const matrix& a, const matrix& b) { if (a.column_size() != b.row_size()) { cerr << "MAT operator *(MAT &,MAT &):Invailed matrix size." << endl; abort(); } int n = a.column_size(); matrix c(a.row_size(), b.column_size()); rep(i, c.row_size()) { rep(j, c.column_size()) { c[i][j] = 0; rep(k, n) { c[i][j] += a[i][k] * b[k][j]; } } } return c; } template vector operator * (const matrix& a, const vector& x) { if (a.column_size() != x.size()) { cerr << "MAT operator *(MAT &,MAT &):Invailed matrix size." << endl; abort(); } int n = a.column_size(); vector y(a.row_size()); rep(i, y.size()) { y[i] = 0; // cout << "!"; rep(j, n) { y[i] += a[i][j] * x[j]; } } return y; } template matrix operator % (const matrix& a, const U& b) { matrix res = a; rep(i, a.row_size()) rep(j, a.column_size()) { T v = res[i][j] % b; res[i][j] = v; } return res; } /* pow(x,n)はx^nを返すよ! */ template matrix mod_pow(matrix x, U n) { if (n == 0) { assert(x.column_size() == x.row_size()); int n = x.column_size(); matrix res(n, n); rep(i, n) { res[i][i] = 1; } return res; } matrix res = x; n--; while (n > 0) { if (n & 1) res = res * x; x = x * x; x %= mod; n >>= 1; res %= mod; } return res; } template void print(const matrix& a) { rep(i, a.row_size()) { rep(j, a.column_size()) { cout << a[i][j] << " "; } cout << endl; } } int n; void solve() { cin >> n; matrix A(vector>{ {100, 1}, {0, 1} } ); auto B = mod_pow(A, n-1); //auto D = A * A; auto C = B * vector{1, 1}; cout << C[0] % mod << endl; int b = 0; for (int i = 0; i < n % 11; i++)b = b * 100 + 1; cout << b << endl; } signed main() { srand(time(NULL)); int T = 100; cout << fixed << setprecision(15); rep(i, T) { char s[MAX]; if (scanf("%s", s) == EOF) break; int n = strlen(s); for (int i = n - 1; i > -1; i--) { ungetc(s[i], stdin); } solve(); } return 0; }