#include using namespace std; #define REP(i,m,n) for(int i=(m); i<(int)(n); i++) #define RREP(i,m,n) for(int i=(int)((n)-1); i>=m; i--) #define rep(i,n) REP(i,0,n) #define rrep(i,n) RREP(i,0,n) #define all(a) (a).begin(),(a).end() #define rall(a) (a).rbegin(),(a).rend() #define fi first #define se second #define debug(...) {cerr<<"[L"<<__LINE__<<"] "; _debug(__VA_ARGS__);} template string join(const vector&v, string del=", "){ stringstream s; for(auto x : v) s << del << x; return s.str().substr(del.size()); } template ostream& operator<<(ostream& o, const vector&v){ if(v.size()) o << "[" << join(v) << "]"; return o; } template ostream& operator<<(ostream& o, const vector >&vv){ int l = vv.size(); if(l){ o< ostream& operator<<(ostream& o, const pair& p){ return o << "(" << p.first << ", " << p.second << ")"; } inline void _debug(){cerr< void _debug(const First& first, const Rest&... rest){cerr< pii; typedef pair pll; typedef vector vi; typedef vector vvi; typedef vector vl; typedef vector vvl; const double PI = (1*acos(0.0)); const double EPS = 1e-9; const int INF = 0x3f3f3f3f; const ll INFL = 0x3f3f3f3f3f3f3f3fLL; const ll mod = 1e9 + 7; inline void finput(string filename) { freopen(filename.c_str(), "r", stdin); } int main(){ ios_base::sync_with_stdio(0); // finput("./input"); vi grundy(110); REP(i,1,110){ set tmp; if(i >= 1) tmp.insert(grundy[i-1]); if(i >= 2) tmp.insert(grundy[i-2]); REP(j,1,i-1){ tmp.insert(grundy[j]^grundy[i-j-1]); tmp.insert(grundy[j]^grundy[i-j-2]); } rep(j,100){ if(!tmp.count(j)){ grundy[i] = j; break; } } } int n; cin >> n; vi color(n+1); color[n] = 1; while(1){ int now = 0; vector stat; rep(i,n){ if(!color[i]) REP(j,i+1,n+1){ if(color[j]){ stat.emplace_back(i,j); int m = j - i; now ^= grundy[m]; i = j; break; } } } int k=-1, x=-1; for(auto s : stat){ int m = s.se - s.fi; if(m >= 1) if(grundy[m-1] == (now^grundy[m])){ k = 1, x = s.fi; color[x] = 1; goto next; } if(m >= 2) if(grundy[m-2] == (now^grundy[m])){ k = 2, x = s.fi; color[x] = 1; color[x+1] = 1; goto next; } REP(j,1,m-1){ if((grundy[j]^grundy[m-j-1]) == (now^grundy[m])){ k = 1, x = s.fi+j; color[x] = 1; goto next; } } REP(j,1,m-2){ if((grundy[j]^grundy[m-j-2]) == (now^grundy[m])){ k = 2, x = s.fi+j; color[x] = 1; color[x+1] = 1; goto next; } } } next: cout << k << " " << x+1 << endl; int t; cin >> t; if(t != 3) break; int tk,tx; cin >> tk >> tx; if(tk == 1){ color[tx-1] = 1; }else{ color[tx-1] = 1; color[tx] = 1; } } return 0; }