#include using namespace std; template class y_combinator { F f; public: y_combinator(F&& f) : f(std::forward(f)) {} template auto operator()(Args&&... args) const { return f(*this, std::forward(args)...); } }; using ll = long long; using ld = long double; template > using prique = std::priority_queue, U>; template T floor(T a, T b) noexcept { return a / b - (a % b && (a ^ b) < 0); } template T ceil(T a, T b) noexcept { return floor(a + b - 1, b); } template bool chmin(T& x, const T& y) noexcept { return (x > y ? x = y, true : false); } template bool chmax(T& x, const T& y) noexcept { return (x < y ? x = y, true : false); } #define overload4(a, b, c, d, e, ...) e #define rep1(a) for (long long _i = 0; _i < (a); _i++) #define rep2(i, a) for (long long i = 0; i < (a); i++) #define rep3(i, a, b) for (long long i = (a); i < (b); i++) #define rep4(i, a, b, c) for (long long i = (a); i < (b); i += (c)) #define rep(...) overload4(__VA_ARGS__, rep4, rep3, rep2, rep1)(__VA_ARGS__) #define rrep(i, a, b, c) for (long long i = (a); i > (b); i += (c)) #define all(x) std::begin(x), std::end(x) #define rall(x) std::rbegin(x), std::rend(x) #define pb push_back #ifndef LOCAL #define debug(...) #endif void run_case() { int Q, K; cin >> Q >> K; if (K >= 5) { vector> A; A.pb({1, 2}); A.pb({1, 2}); A.pb({3, 4}); A.pb({3, 5}); A.pb({3, 5}); rep(max(0, Q - 5)) A.pb({6, 7}); cout << "Yes\n"; rep(i, Q) cout << A[i].first << " " << A[i].second << "\n"; } else { vector> A(4); rep(i, 4) A[i] = {i >> 0 & 1, i >> 1 & 1}; y_combinator([&](auto self, vector> B, vector> his) -> void { int mx = 0; int n = B[0].size(); rep(i, 4) { int sm = 0; rep(j, n) sm += B[i][j]; chmax(mx, sm); } if (mx > K) return; if (n == Q + 2) { cout << "Yes\n"; for (auto [a, b] : his) cout << a << " " << b << "\n"; exit(0); } rep(i, n) rep(j, i + 1, n) { rep(k, 4) B[k].pb(!(B[k][i] & B[k][j])); his.pb({i + 1, j + 1}); self(B, his); rep(k, 4) B[k].pop_back(); his.pop_back(); } })(A, vector>{}); cout << "No\n"; } } int main() { std::ios_base::sync_with_stdio(false); std::cin.tie(nullptr); std::fixed(std::cout).precision(16); int T = 1; while (T--) run_case(); return 0; }