#include<bits/stdc++.h> using namespace std; #define rep(i,a,b) for(int i=a;i<b;i++) typedef long long ll; #define mod1 1000000007LL struct Mat1 { // by MrDindows using T = ll; T a[2][2]; Mat1() { memset(a, 0, sizeof(a)); } static Mat1 One() { Mat1 r; r[0][0] = r[1][1] = 1; return r; } T* operator[](int idx) { return a[idx]; } const T* operator[](int idx) const { return a[idx]; } Mat1 operator+(const Mat1& b) { Mat1 r; rep(i, 0, 2) rep(j, 0, 2) { r[i][j] = a[i][j] + b[i][j]; if (r[i][j] >= mod1) { r[i][j] -= mod1; } } return r; } Mat1& operator*=(const Mat1& b) { return *this = *this * b; } Mat1 operator*(const Mat1& b) { Mat1 r; rep(i, 0, 2) rep(j, 0, 2) { rep(k, 0, 2) { r[i][j] += a[i][k] * b[k][j]; } r[i][j] %= mod1; } return r; } Mat1 power(ll n) { if (n == 0) return Mat1::One(); if (n == 1) return *this; Mat1 t = power(n / 2); t = t * t; if (n % 2) { t = t * *this; } return t; } void print() { rep(i, 0, 2) { cout << "[" << a[i][0] << ", " << a[i][1] << "]" << endl; } cout << endl; } bool empty() { return a[0][0] == 1 && a[0][1] == 0 && a[1][0] == 0 && a[1][1] == 1; } void clear() { *this = Mat1::One(); } }; ll N; //----------------------------------------------------------------- int main() { cin >> N; if (N == 1) { printf("1\n1\n"); return 0; } Mat1 m; m.a[0][0] = 100; m.a[0][1] = 1; m.a[1][0] = 0; m.a[1][1] = 1; m = m.power(N - 1); ll ans = (m.a[0][0] + m.a[0][1]) % mod1; cout << ans << endl; ll n = 1 + (N - 1) * 2; int mag = 21; if (n < 21) { string s = "1"; rep(i, 0, N - 1) s += "01"; cout << s << endl; return 0; } else if (n == 21) { cout << 0 << endl; return 0; } if (22 < n && (n - 21) % 22 == 0) { cout << 0 << endl; return 0; } ll cnt = n / 22 * 22; ll oth = n - cnt; string sa = ""; rep(i, 0, oth) { if (i % 2 == 0) sa = sa + "1"; else sa = sa + "0"; } cout << sa << endl; //101010101010101010101 }