#pragma region kyopro_template #include #define pb push_back #define eb emplace_back #define fi first #define se second #define each(x, v) for (auto &x : v) #define all(v) (v).begin(), (v).end() #define sz(v) ((int)(v).size()) #define mem(a, val) memset(a, val, sizeof(a)) #define ini(...) \ int __VA_ARGS__; \ in(__VA_ARGS__) #define inl(...) \ long long __VA_ARGS__; \ in(__VA_ARGS__) #define ins(...) \ string __VA_ARGS__; \ in(__VA_ARGS__) #define inc(...) \ char __VA_ARGS__; \ in(__VA_ARGS__) #define in2(s, t) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i]); \ } #define in3(s, t, u) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i]); \ } #define in4(s, t, u, v) \ for (int i = 0; i < (int)s.size(); i++) { \ in(s[i], t[i], u[i], v[i]); \ } #define rep(i, N) for (long long i = 0; i < (long long)(N); i++) #define repr(i, N) for (long long i = (long long)(N)-1; i >= 0; i--) #define rep1(i, N) for (long long i = 1; i <= (long long)(N); i++) #define repr1(i, N) for (long long i = (N); (long long)(i) > 0; i--) #define reg(i, a, b) for (long long i = (a); i < (b); i++) #define die(...) \ do { \ out(__VA_ARGS__); \ return; \ } while (0) using namespace std; using ll = long long; template using V = vector; using vi = vector; using vl = vector; using vvi = vector>; using vd = V; using vs = V; using vvl = vector>; using P = pair; using vp = vector

; using pii = pair; using vpi = vector>; constexpr int inf = 1001001001; constexpr long long infLL = (1LL << 61) - 1; template inline bool amin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool amax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template T ceil(T a, U b) { return (a + b - 1) / b; } constexpr long long TEN(int n) { long long ret = 1, x = 10; while (n) { if (n & 1) ret *= x; x *= x; n >>= 1; } return ret; } template ostream &operator<<(ostream &os, const pair &p) { os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p) { is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v) { int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v) { for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &... u) { cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &... u) { cout << t; if (sizeof...(u)) cout << " "; out(u...); } void solve(); #ifdef NyaanDebug #include "NyaanDebug.h" #define trc(...) \ do { \ cerr << #__VA_ARGS__ << " = "; \ dbg_out(__VA_ARGS__); \ } while (0) #define trca(v, N) \ do { \ cerr << #v << " = "; \ array_out(v, N); \ } while (0) #define trcc(v) \ do { \ cerr << #v << " = {"; \ each(x, v) { cerr << " " << x << ","; } \ cerr << "}" << endl; \ } while (0) #else #define trc(...) #define trca(...) #define trcc(...) int main() { solve(); } #endif inline int popcnt(unsigned long long a) { return __builtin_popcountll(a); } inline int lsb(unsigned long long a) { return __builtin_ctzll(a); } inline int msb(unsigned long long a) { return 63 - __builtin_clzll(a); } template inline int getbit(T a, int i) { return (a >> i) & 1; } template inline void setbit(T &a, int i) { a |= (1LL << i); } template inline void delbit(T &a, int i) { a &= ~(1LL << i); } template int lb(const vector &v, const T &a) { return lower_bound(begin(v), end(v), a) - begin(v); } template int ub(const vector &v, const T &a) { return upper_bound(begin(v), end(v), a) - begin(v); } template vector mkrui(const vector &v) { vector ret(v.size() + 1); for (int i = 0; i < int(v.size()); i++) ret[i + 1] = ret[i] + v[i]; return ret; }; template vector mkuni(const vector &v) { vector ret(v); sort(ret.begin(), ret.end()); ret.erase(unique(ret.begin(), ret.end()), ret.end()); return ret; } template vector mkord(int N, F f) { vector ord(N); iota(begin(ord), end(ord), 0); sort(begin(ord), end(ord), f); return ord; } template vector mkiota(int N) { vector ret(N); iota(begin(ret), end(ret), 0); return ret; } template vector mkinv(vector &v) { vector inv(v.size()); for (int i = 0; i < (int)v.size(); i++) inv[v[i]] = i; return inv; } struct IoSetupNya { IoSetupNya() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetupnya; #pragma endregion constexpr int MOD = /** 998244353; //*/ 1000000007; void solve() { auto ispararell = [](P a, P b, P c, P d) { P x = {a.fi - b.fi, a.se - b.se}; P y = {c.fi - d.fi, c.se - d.se}; if (x == y) return true; x.fi *= -1, x.se *= -1; return x == y; }; auto dame = [&](P a, P b, P c, P d) { if (ispararell(a, b, c, d)) return true; if (ispararell(a, c, b, d)) return true; if (ispararell(a, d, b, c)) return true; return false; }; auto guchoku = [&](int M, int SZ) -> vp { mt19937_64 rng(58); vp v(M); trc(M,SZ); while (1) { rep(i, M) v[i] = {i, rng() % (SZ + 1)}; int ok = 1; vi ord(M); rep(i, 4) ord[i] = 1; sort(all(ord)); do { int a, b, c, d, i = 0; while (ord[i] != 1) i++; a = i++; while (ord[i] != 1) i++; b = i++; while (ord[i] != 1) i++; c = i++; while (ord[i] != 1) i++; d = i++; if (dame(v[a], v[b], v[c], v[d])) ok = 0; } while (ok and next_permutation(all(ord))); if (ok) break; } return v; }; // SZ ... maxのやつ auto DandC = [&](auto rec, int SZ, int N) -> vp { // 奇偶で区切る trc(SZ, N); if (N <= 12) return guchoku(N, SZ); int NN = (N + 1) / 2; int SZN = SZ / 2; // ookiihou vp even = rec(rec, SZN, NN); vp ret; ret.reserve(N+1); rep(i,NN){ if(i&1){ ret.eb(i*2,even[i].second+SZN); ret.eb(i*2+1,even[i].second); } else{ ret.eb(i*2,even[i].second); ret.eb(i*2+1,even[i].second+SZN); } } if(sz(ret)>N)ret.pop_back(); return ret; }; ini(N); if(N<3){ rep(i,N)out(i,i); return; } auto ans = DandC(DandC,N+40,N); each(x,ans)out(x); }