#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using ll = long long; using namespace std; template bool chmin(A &a, const B b) { if (a <= b) return false; a = b; return true; } template bool chmax(A &a, const B b) { if (a >= b) return false; a = b; return true; } #ifndef LOCAL #define debug(...) ; #else #define debug(...) cerr << __LINE__ << " : " << #__VA_ARGS__ << " = " << _tostr(__VA_ARGS__) << endl; template ostream &operator<<(ostream &out, const vector &v); template ostream &operator<<(ostream &out, const pair &p) { out << "{" << p.first << ", " << p.second << "}"; return out; } template ostream &operator<<(ostream &out, const vector &v) { out << '{'; for (const T &item : v) out << item << ", "; out << "\b\b}"; return out; } void _tostr_rec(ostringstream &oss) { oss << "\b\b \b"; } template void _tostr_rec(ostringstream &oss, Head &&head, Tail &&...tail) { oss << head << ", "; _tostr_rec(oss, forward(tail)...); } template string _tostr(T &&...args) { ostringstream oss; int size = sizeof...(args); if (size > 1) oss << "{"; _tostr_rec(oss, forward(args)...); if (size > 1) oss << "}"; return oss.str(); } #endif constexpr int mod = 1'000'000'007; //1e9+7(prime number) constexpr int INF = 1'000'000'000; //1e9 constexpr ll LLINF = 2'000'000'000'000'000'000LL; //2e18 constexpr int SIZE = 200010; int main() { int N, K; scanf("%d%d", &N, &K); if (N - 1 == K || K == 1) { puts("No"); return 0; } //? if (K == 2 && N % 2 == 1) { puts("No"); return 0; } vector, int>> ans; if (K % 2 == 0) { // 奇数本 for (int i = 0; (i + 1) * 2 <= N - 2; i++) { ans.push_back({{i * 2 + 0, i * 2 + 1}, 10000 - 2}); ans.push_back({{i * 2 + 1, i * 2 + 2}, -10000}); } if ((N - 1) % 2) { ans.push_back({{N - 2, N - 1}, 10000 - 2}); } else { ans.push_back({{N - 3, N - 2}, 10000 - 2}); ans.push_back({{1, N - 1}, 10000 - 2}); } } else { for (int i = 0; (i + 1) * 3 <= N - 2; i++) { ans.push_back({{i * 3 + 0, i * 3 + 1}, 10000 - 2}); ans.push_back({{i * 3 + 1, i * 3 + 2}, -10000}); ans.push_back({{i * 3 + 2, i * 3 + 3}, 0}); } if ((N - 1) % 3 == 1) { ans.push_back({{N - 2, N - 1}, 10000 - 2}); } else if ((N - 1) % 3 == 2) { ans.push_back({{N - 3, N - 2}, 10000 - 2}); ans.push_back({{1, N - 1}, 10000 - 2}); } else { ans.push_back({{N - 4, N - 3}, 10000 - 2}); ans.push_back({{N - 3, N - 2}, -10000}); ans.push_back({{1, N - 1}, 10000 - 2}); } } puts("Yes"); for (auto e : ans) { printf("%d %d %d\n", e.first.first + 1, e.first.second + 1, e.second); } return 0; }