#include #define F first #define S second using namespace std; typedef long long ll; typedef long double ld; const int max_n = 100011, max_k = 26, inf = 1011111111, p = 37; vector > go(vector > h){ sort(h.begin(), h.end()); if(h[0].F == 0){ vector > gg; gg.push_back(make_pair(h[0].S, 1)); return gg; } int n = h.size(); if(n == 0) exit(3); vector > g; for(int i = 0; i < n - 1; i++){ g.push_back(make_pair(h[i + 1].F - h[i].F, i)); } vector > res = go(g); vector > ret; for(int i = 0; i < res.size(); ++i) { ret.push_back(make_pair(h[res[i].F + 1].S, res[i].S)); ret.push_back(make_pair(h[res[i].F].S, -res[i].S)); } return ret; } int get_bits(ll x) { int ans = 0; while (x) { ans++; x /= 2; } return ans; } ll mul(ll a, ll b, ll mod) { a = (a % mod + mod) % mod; b = (b % mod + mod) % mod; /*if (b == 0) return 0; if (b % 2 == 1) { return (mul(a, b - 1, mod) + a) % mod; } return 2 * mul(a, b / 2, mod) % mod;*/ ll ret = 0; for(int x = get_bits(b); x >= 0; x--){ ret *= 2; ret %= mod; if(b << (~x) < 0){ ret += a; if(ret >= mod) ret -= mod; } } return ret; } void solve() { ll mod, mul1; //cin >> mul1 >> mod; cin >> mod >> mul1; int sz = 200; vector > h; h.push_back(make_pair(1LL, sz - 1)); for(int i = 1; i < sz; ++i){ h.push_back(make_pair(mul(h[i - 1].F, mul1, mod), sz - i - 1)); } /*for (int i = 0; i < sz; ++i) { for (int q = 0; q < h[i].size(); ++q) { cout << h[i][q] << " "; } cout << endl; }*/ vector > res = go(h); string s(sz, 'm'); string t(sz, 'm'); for(int i = 0; i < res.size(); ++i){ t[res[i].F] += res[i].S; // cout << res[i].F << " " << res[i].S << endl; } cout << s << endl << t << endl; // check for (int i = 0; i < sz; ++i) { if('a' <= t[i] && t[i] <= 'z') { }else{ exit(88); } } ll hs = 0, ht = 0; for(int i = 0;i < sz;i++){ hs = mul(hs, mul1, mod) + s[i]; if(hs >= mod)hs -= mod; ht = mul(ht, mul1, mod) + t[i]; if(ht >= mod)ht -= mod; } // tr(hs, ht); if(hs != ht) exit(99); } int main() { // freopen("input.txt", "r", stdin); solve(); return 0; }